Properties

Label 240.2.t.b.59.1
Level $240$
Weight $2$
Character 240.59
Analytic conductor $1.916$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [240,2,Mod(59,240)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(240, base_ring=CyclotomicField(4))
 
chi = DirichletCharacter(H, H._module([2, 1, 2, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("240.59");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 240 = 2^{4} \cdot 3 \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 240.t (of order \(4\), degree \(2\), 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: \(1.91640964851\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 59.1
Character \(\chi\) \(=\) 240.59
Dual form 240.2.t.b.179.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.41336 + 0.0490154i) q^{2} +(0.209895 + 1.71929i) q^{3} +(1.99519 - 0.138553i) q^{4} +(-0.768175 - 2.09998i) q^{5} +(-0.380929 - 2.41969i) q^{6} -4.08340i q^{7} +(-2.81315 + 0.293621i) q^{8} +(-2.91189 + 0.721739i) q^{9} +O(q^{10})\) \(q+(-1.41336 + 0.0490154i) q^{2} +(0.209895 + 1.71929i) q^{3} +(1.99519 - 0.138553i) q^{4} +(-0.768175 - 2.09998i) q^{5} +(-0.380929 - 2.41969i) q^{6} -4.08340i q^{7} +(-2.81315 + 0.293621i) q^{8} +(-2.91189 + 0.721739i) q^{9} +(1.18864 + 2.93038i) q^{10} +(-3.73399 - 3.73399i) q^{11} +(0.656994 + 3.40123i) q^{12} +(0.658169 + 0.658169i) q^{13} +(0.200149 + 5.77133i) q^{14} +(3.44923 - 1.76149i) q^{15} +(3.96161 - 0.552881i) q^{16} +2.37750 q^{17} +(4.08018 - 1.16281i) q^{18} +(-3.49873 - 3.49873i) q^{19} +(-1.82362 - 4.08343i) q^{20} +(7.02053 - 0.857084i) q^{21} +(5.46051 + 5.09447i) q^{22} +4.63710 q^{23} +(-1.09528 - 4.77497i) q^{24} +(-3.81982 + 3.22630i) q^{25} +(-0.962493 - 0.897972i) q^{26} +(-1.85207 - 4.85488i) q^{27} +(-0.565767 - 8.14717i) q^{28} +(1.57201 + 1.57201i) q^{29} +(-4.78867 + 2.65869i) q^{30} +0.107179i q^{31} +(-5.57209 + 0.975602i) q^{32} +(5.63606 - 7.20355i) q^{33} +(-3.36028 + 0.116534i) q^{34} +(-8.57504 + 3.13676i) q^{35} +(-5.70979 + 1.84346i) q^{36} +(0.798876 - 0.798876i) q^{37} +(5.11647 + 4.77348i) q^{38} +(-0.993434 + 1.26973i) q^{39} +(2.77759 + 5.68199i) q^{40} +8.35437 q^{41} +(-9.88055 + 1.55549i) q^{42} +(0.742112 + 0.742112i) q^{43} +(-7.96740 - 6.93269i) q^{44} +(3.75247 + 5.56048i) q^{45} +(-6.55391 + 0.227289i) q^{46} -1.98407i q^{47} +(1.78208 + 6.69509i) q^{48} -9.67413 q^{49} +(5.24065 - 4.74717i) q^{50} +(0.499026 + 4.08761i) q^{51} +(1.40437 + 1.22198i) q^{52} +(-2.31137 - 2.31137i) q^{53} +(2.85561 + 6.77093i) q^{54} +(-4.97295 + 10.7097i) q^{55} +(1.19897 + 11.4872i) q^{56} +(5.28095 - 6.74968i) q^{57} +(-2.29887 - 2.14476i) q^{58} +(4.24336 + 4.24336i) q^{59} +(6.63782 - 3.99241i) q^{60} +(-0.129772 + 0.129772i) q^{61} +(-0.00525339 - 0.151482i) q^{62} +(2.94715 + 11.8904i) q^{63} +(7.82757 - 1.65200i) q^{64} +(0.876552 - 1.88773i) q^{65} +(-7.61271 + 10.4575i) q^{66} +(-10.8687 + 10.8687i) q^{67} +(4.74358 - 0.329411i) q^{68} +(0.973304 + 7.97250i) q^{69} +(11.9659 - 4.85369i) q^{70} -0.137907i q^{71} +(7.97965 - 2.88535i) q^{72} +7.69107 q^{73} +(-1.08995 + 1.16826i) q^{74} +(-6.34869 - 5.89017i) q^{75} +(-7.46540 - 6.49588i) q^{76} +(-15.2474 + 15.2474i) q^{77} +(1.34185 - 1.84328i) q^{78} -9.66245i q^{79} +(-4.20424 - 7.89458i) q^{80} +(7.95819 - 4.20325i) q^{81} +(-11.8078 + 0.409492i) q^{82} +(-6.95219 - 6.95219i) q^{83} +(13.8886 - 2.68277i) q^{84} +(-1.82634 - 4.99271i) q^{85} +(-1.08525 - 1.01250i) q^{86} +(-2.37277 + 3.03268i) q^{87} +(11.6006 + 9.40789i) q^{88} -6.69332 q^{89} +(-5.57616 - 7.67505i) q^{90} +(2.68757 - 2.68757i) q^{91} +(9.25192 - 0.642485i) q^{92} +(-0.184271 + 0.0224962i) q^{93} +(0.0972501 + 2.80422i) q^{94} +(-4.65962 + 10.0349i) q^{95} +(-2.84689 - 9.37524i) q^{96} -0.584506i q^{97} +(13.6731 - 0.474181i) q^{98} +(13.5679 + 8.17800i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80 q - 8 q^{4} - 4 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 80 q - 8 q^{4} - 4 q^{6} + 16 q^{10} - 32 q^{16} + 16 q^{19} + 8 q^{21} - 56 q^{24} + 8 q^{30} - 16 q^{34} - 40 q^{36} - 8 q^{39} - 8 q^{40} - 12 q^{45} - 24 q^{46} - 112 q^{49} + 32 q^{51} + 60 q^{54} - 40 q^{55} + 40 q^{60} + 16 q^{61} - 32 q^{64} - 56 q^{66} - 40 q^{69} + 48 q^{70} - 36 q^{75} - 128 q^{76} + 64 q^{81} + 128 q^{84} - 64 q^{85} + 72 q^{90} + 48 q^{91} + 56 q^{94} - 24 q^{96} - 8 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/240\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(97\) \(161\) \(181\)
\(\chi(n)\) \(-1\) \(-1\) \(-1\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41336 + 0.0490154i −0.999399 + 0.0346591i
\(3\) 0.209895 + 1.71929i 0.121183 + 0.992630i
\(4\) 1.99519 0.138553i 0.997597 0.0692766i
\(5\) −0.768175 2.09998i −0.343538 0.939139i
\(6\) −0.380929 2.41969i −0.155514 0.987834i
\(7\) 4.08340i 1.54338i −0.636000 0.771689i \(-0.719412\pi\)
0.636000 0.771689i \(-0.280588\pi\)
\(8\) −2.81315 + 0.293621i −0.994597 + 0.103811i
\(9\) −2.91189 + 0.721739i −0.970629 + 0.240580i
\(10\) 1.18864 + 2.93038i 0.375881 + 0.926668i
\(11\) −3.73399 3.73399i −1.12584 1.12584i −0.990846 0.134995i \(-0.956898\pi\)
−0.134995 0.990846i \(-0.543102\pi\)
\(12\) 0.656994 + 3.40123i 0.189658 + 0.981850i
\(13\) 0.658169 + 0.658169i 0.182543 + 0.182543i 0.792463 0.609920i \(-0.208798\pi\)
−0.609920 + 0.792463i \(0.708798\pi\)
\(14\) 0.200149 + 5.77133i 0.0534921 + 1.54245i
\(15\) 3.44923 1.76149i 0.890587 0.454814i
\(16\) 3.96161 0.552881i 0.990402 0.138220i
\(17\) 2.37750 0.576630 0.288315 0.957536i \(-0.406905\pi\)
0.288315 + 0.957536i \(0.406905\pi\)
\(18\) 4.08018 1.16281i 0.961708 0.274076i
\(19\) −3.49873 3.49873i −0.802663 0.802663i 0.180848 0.983511i \(-0.442116\pi\)
−0.983511 + 0.180848i \(0.942116\pi\)
\(20\) −1.82362 4.08343i −0.407773 0.913083i
\(21\) 7.02053 0.857084i 1.53200 0.187031i
\(22\) 5.46051 + 5.09447i 1.16419 + 1.08614i
\(23\) 4.63710 0.966902 0.483451 0.875371i \(-0.339383\pi\)
0.483451 + 0.875371i \(0.339383\pi\)
\(24\) −1.09528 4.77497i −0.223574 0.974687i
\(25\) −3.81982 + 3.22630i −0.763963 + 0.645260i
\(26\) −0.962493 0.897972i −0.188760 0.176107i
\(27\) −1.85207 4.85488i −0.356430 0.934322i
\(28\) −0.565767 8.14717i −0.106920 1.53967i
\(29\) 1.57201 + 1.57201i 0.291914 + 0.291914i 0.837836 0.545922i \(-0.183820\pi\)
−0.545922 + 0.837836i \(0.683820\pi\)
\(30\) −4.78867 + 2.65869i −0.874288 + 0.485408i
\(31\) 0.107179i 0.0192498i 0.999954 + 0.00962491i \(0.00306375\pi\)
−0.999954 + 0.00962491i \(0.996936\pi\)
\(32\) −5.57209 + 0.975602i −0.985016 + 0.172464i
\(33\) 5.63606 7.20355i 0.981111 1.25398i
\(34\) −3.36028 + 0.116534i −0.576283 + 0.0199855i
\(35\) −8.57504 + 3.13676i −1.44945 + 0.530210i
\(36\) −5.70979 + 1.84346i −0.951631 + 0.307243i
\(37\) 0.798876 0.798876i 0.131334 0.131334i −0.638384 0.769718i \(-0.720397\pi\)
0.769718 + 0.638384i \(0.220397\pi\)
\(38\) 5.11647 + 4.77348i 0.830000 + 0.774361i
\(39\) −0.993434 + 1.26973i −0.159077 + 0.203319i
\(40\) 2.77759 + 5.68199i 0.439175 + 0.898402i
\(41\) 8.35437 1.30473 0.652366 0.757904i \(-0.273776\pi\)
0.652366 + 0.757904i \(0.273776\pi\)
\(42\) −9.88055 + 1.55549i −1.52460 + 0.240017i
\(43\) 0.742112 + 0.742112i 0.113171 + 0.113171i 0.761425 0.648254i \(-0.224500\pi\)
−0.648254 + 0.761425i \(0.724500\pi\)
\(44\) −7.96740 6.93269i −1.20113 1.04514i
\(45\) 3.75247 + 5.56048i 0.559386 + 0.828907i
\(46\) −6.55391 + 0.227289i −0.966321 + 0.0335120i
\(47\) 1.98407i 0.289407i −0.989475 0.144703i \(-0.953777\pi\)
0.989475 0.144703i \(-0.0462228\pi\)
\(48\) 1.78208 + 6.69509i 0.257221 + 0.966353i
\(49\) −9.67413 −1.38202
\(50\) 5.24065 4.74717i 0.741140 0.671351i
\(51\) 0.499026 + 4.08761i 0.0698776 + 0.572380i
\(52\) 1.40437 + 1.22198i 0.194751 + 0.169459i
\(53\) −2.31137 2.31137i −0.317491 0.317491i 0.530312 0.847803i \(-0.322075\pi\)
−0.847803 + 0.530312i \(0.822075\pi\)
\(54\) 2.85561 + 6.77093i 0.388599 + 0.921407i
\(55\) −4.97295 + 10.7097i −0.670552 + 1.44409i
\(56\) 1.19897 + 11.4872i 0.160219 + 1.53504i
\(57\) 5.28095 6.74968i 0.699479 0.894017i
\(58\) −2.29887 2.14476i −0.301856 0.281621i
\(59\) 4.24336 + 4.24336i 0.552438 + 0.552438i 0.927144 0.374706i \(-0.122256\pi\)
−0.374706 + 0.927144i \(0.622256\pi\)
\(60\) 6.63782 3.99241i 0.856939 0.515418i
\(61\) −0.129772 + 0.129772i −0.0166156 + 0.0166156i −0.715366 0.698750i \(-0.753740\pi\)
0.698750 + 0.715366i \(0.253740\pi\)
\(62\) −0.00525339 0.151482i −0.000667182 0.0192383i
\(63\) 2.94715 + 11.8904i 0.371305 + 1.49805i
\(64\) 7.82757 1.65200i 0.978447 0.206500i
\(65\) 0.876552 1.88773i 0.108723 0.234144i
\(66\) −7.61271 + 10.4575i −0.937060 + 1.28723i
\(67\) −10.8687 + 10.8687i −1.32782 + 1.32782i −0.420553 + 0.907268i \(0.638164\pi\)
−0.907268 + 0.420553i \(0.861836\pi\)
\(68\) 4.74358 0.329411i 0.575244 0.0399469i
\(69\) 0.973304 + 7.97250i 0.117172 + 0.959776i
\(70\) 11.9659 4.85369i 1.43020 0.580128i
\(71\) 0.137907i 0.0163665i −0.999967 0.00818327i \(-0.997395\pi\)
0.999967 0.00818327i \(-0.00260484\pi\)
\(72\) 7.97965 2.88535i 0.940410 0.340042i
\(73\) 7.69107 0.900171 0.450086 0.892985i \(-0.351393\pi\)
0.450086 + 0.892985i \(0.351393\pi\)
\(74\) −1.08995 + 1.16826i −0.126704 + 0.135807i
\(75\) −6.34869 5.89017i −0.733084 0.680138i
\(76\) −7.46540 6.49588i −0.856340 0.745129i
\(77\) −15.2474 + 15.2474i −1.73760 + 1.73760i
\(78\) 1.34185 1.84328i 0.151934 0.208710i
\(79\) 9.66245i 1.08711i −0.839373 0.543555i \(-0.817078\pi\)
0.839373 0.543555i \(-0.182922\pi\)
\(80\) −4.20424 7.89458i −0.470049 0.882640i
\(81\) 7.95819 4.20325i 0.884243 0.467027i
\(82\) −11.8078 + 0.409492i −1.30395 + 0.0452209i
\(83\) −6.95219 6.95219i −0.763101 0.763101i 0.213780 0.976882i \(-0.431422\pi\)
−0.976882 + 0.213780i \(0.931422\pi\)
\(84\) 13.8886 2.68277i 1.51537 0.292714i
\(85\) −1.82634 4.99271i −0.198094 0.541535i
\(86\) −1.08525 1.01250i −0.117025 0.109181i
\(87\) −2.37277 + 3.03268i −0.254388 + 0.325138i
\(88\) 11.6006 + 9.40789i 1.23663 + 1.00288i
\(89\) −6.69332 −0.709491 −0.354745 0.934963i \(-0.615432\pi\)
−0.354745 + 0.934963i \(0.615432\pi\)
\(90\) −5.57616 7.67505i −0.587779 0.809022i
\(91\) 2.68757 2.68757i 0.281733 0.281733i
\(92\) 9.25192 0.642485i 0.964579 0.0669837i
\(93\) −0.184271 + 0.0224962i −0.0191080 + 0.00233275i
\(94\) 0.0972501 + 2.80422i 0.0100306 + 0.289233i
\(95\) −4.65962 + 10.0349i −0.478067 + 1.02956i
\(96\) −2.84689 9.37524i −0.290560 0.956857i
\(97\) 0.584506i 0.0593476i −0.999560 0.0296738i \(-0.990553\pi\)
0.999560 0.0296738i \(-0.00944685\pi\)
\(98\) 13.6731 0.474181i 1.38119 0.0478995i
\(99\) 13.5679 + 8.17800i 1.36363 + 0.821920i
\(100\) −7.17426 + 6.96634i −0.717426 + 0.696634i
\(101\) −5.52152 + 5.52152i −0.549412 + 0.549412i −0.926271 0.376859i \(-0.877004\pi\)
0.376859 + 0.926271i \(0.377004\pi\)
\(102\) −0.905661 5.75282i −0.0896738 0.569614i
\(103\) 14.1043i 1.38974i −0.719136 0.694869i \(-0.755462\pi\)
0.719136 0.694869i \(-0.244538\pi\)
\(104\) −2.04478 1.65827i −0.200507 0.162607i
\(105\) −7.19285 14.0846i −0.701950 1.37451i
\(106\) 3.38010 + 3.15351i 0.328304 + 0.306296i
\(107\) 10.4095 10.4095i 1.00632 1.00632i 0.00634270 0.999980i \(-0.497981\pi\)
0.999980 0.00634270i \(-0.00201896\pi\)
\(108\) −4.36789 9.42982i −0.420301 0.907385i
\(109\) 10.7908 10.7908i 1.03357 1.03357i 0.0341516 0.999417i \(-0.489127\pi\)
0.999417 0.0341516i \(-0.0108729\pi\)
\(110\) 6.50364 15.3804i 0.620098 1.46646i
\(111\) 1.54118 + 1.20582i 0.146282 + 0.114451i
\(112\) −2.25763 16.1768i −0.213326 1.52856i
\(113\) 1.84969 0.174004 0.0870019 0.996208i \(-0.472271\pi\)
0.0870019 + 0.996208i \(0.472271\pi\)
\(114\) −7.13306 + 9.79860i −0.668072 + 0.917723i
\(115\) −3.56210 9.73781i −0.332168 0.908055i
\(116\) 3.35426 + 2.91865i 0.311436 + 0.270990i
\(117\) −2.39154 1.44149i −0.221098 0.133266i
\(118\) −6.20539 5.78942i −0.571253 0.532959i
\(119\) 9.70829i 0.889958i
\(120\) −9.18597 + 5.96808i −0.838560 + 0.544809i
\(121\) 16.8854i 1.53504i
\(122\) 0.177055 0.189776i 0.0160298 0.0171815i
\(123\) 1.75354 + 14.3635i 0.158111 + 1.29512i
\(124\) 0.0148499 + 0.213842i 0.00133356 + 0.0192036i
\(125\) 9.70944 + 5.54317i 0.868439 + 0.495796i
\(126\) −4.74820 16.6610i −0.423003 1.48428i
\(127\) 6.44438 0.571846 0.285923 0.958253i \(-0.407700\pi\)
0.285923 + 0.958253i \(0.407700\pi\)
\(128\) −10.9822 + 2.71855i −0.970702 + 0.240288i
\(129\) −1.12014 + 1.43167i −0.0986226 + 0.126051i
\(130\) −1.14636 + 2.71101i −0.100542 + 0.237772i
\(131\) 4.98942 4.98942i 0.435928 0.435928i −0.454711 0.890639i \(-0.650257\pi\)
0.890639 + 0.454711i \(0.150257\pi\)
\(132\) 10.2470 15.1534i 0.891883 1.31893i
\(133\) −14.2867 + 14.2867i −1.23881 + 1.23881i
\(134\) 14.8287 15.8941i 1.28100 1.37304i
\(135\) −8.77243 + 7.61869i −0.755011 + 0.655713i
\(136\) −6.68827 + 0.698086i −0.573514 + 0.0598604i
\(137\) 16.1748i 1.38191i 0.722898 + 0.690955i \(0.242810\pi\)
−0.722898 + 0.690955i \(0.757190\pi\)
\(138\) −1.76641 11.2203i −0.150367 0.955139i
\(139\) −12.8546 + 12.8546i −1.09031 + 1.09031i −0.0948192 + 0.995495i \(0.530227\pi\)
−0.995495 + 0.0948192i \(0.969773\pi\)
\(140\) −16.6743 + 7.44655i −1.40923 + 0.629348i
\(141\) 3.41119 0.416447i 0.287274 0.0350712i
\(142\) 0.00675956 + 0.194913i 0.000567249 + 0.0163567i
\(143\) 4.91520i 0.411030i
\(144\) −11.1367 + 4.46917i −0.928060 + 0.372431i
\(145\) 2.09360 4.50875i 0.173864 0.374432i
\(146\) −10.8703 + 0.376980i −0.899630 + 0.0311991i
\(147\) −2.03055 16.6326i −0.167477 1.37183i
\(148\) 1.48323 1.70460i 0.121921 0.140117i
\(149\) 5.90204 5.90204i 0.483514 0.483514i −0.422738 0.906252i \(-0.638931\pi\)
0.906252 + 0.422738i \(0.138931\pi\)
\(150\) 9.26172 + 8.01377i 0.756216 + 0.654322i
\(151\) 20.1902 1.64305 0.821527 0.570169i \(-0.193122\pi\)
0.821527 + 0.570169i \(0.193122\pi\)
\(152\) 10.8697 + 8.81513i 0.881651 + 0.715001i
\(153\) −6.92303 + 1.71594i −0.559694 + 0.138725i
\(154\) 20.8027 22.2974i 1.67633 1.79678i
\(155\) 0.225073 0.0823318i 0.0180783 0.00661305i
\(156\) −1.80617 + 2.67100i −0.144609 + 0.213851i
\(157\) 14.2660 + 14.2660i 1.13855 + 1.13855i 0.988710 + 0.149843i \(0.0478767\pi\)
0.149843 + 0.988710i \(0.452123\pi\)
\(158\) 0.473609 + 13.6566i 0.0376783 + 1.08646i
\(159\) 3.48876 4.45905i 0.276677 0.353626i
\(160\) 6.32908 + 10.9518i 0.500358 + 0.865819i
\(161\) 18.9351i 1.49230i
\(162\) −11.0418 + 6.33079i −0.867525 + 0.497394i
\(163\) −5.06752 + 5.06752i −0.396919 + 0.396919i −0.877145 0.480226i \(-0.840555\pi\)
0.480226 + 0.877145i \(0.340555\pi\)
\(164\) 16.6686 1.15752i 1.30160 0.0903874i
\(165\) −19.4568 6.30201i −1.51471 0.490611i
\(166\) 10.1667 + 9.48520i 0.789091 + 0.736195i
\(167\) 8.86797 0.686224 0.343112 0.939295i \(-0.388519\pi\)
0.343112 + 0.939295i \(0.388519\pi\)
\(168\) −19.4981 + 4.47248i −1.50431 + 0.345059i
\(169\) 12.1336i 0.933356i
\(170\) 2.82600 + 6.96699i 0.216744 + 0.534344i
\(171\) 12.7131 + 7.66273i 0.972193 + 0.585984i
\(172\) 1.58348 + 1.37784i 0.120739 + 0.105059i
\(173\) 2.26621 2.26621i 0.172297 0.172297i −0.615691 0.787988i \(-0.711123\pi\)
0.787988 + 0.615691i \(0.211123\pi\)
\(174\) 3.20494 4.40259i 0.242966 0.333759i
\(175\) 13.1743 + 15.5978i 0.995881 + 1.17908i
\(176\) −16.8571 12.7282i −1.27065 0.959421i
\(177\) −6.40488 + 8.18620i −0.481420 + 0.615312i
\(178\) 9.46010 0.328076i 0.709065 0.0245903i
\(179\) −1.87635 + 1.87635i −0.140245 + 0.140245i −0.773744 0.633499i \(-0.781618\pi\)
0.633499 + 0.773744i \(0.281618\pi\)
\(180\) 8.25734 + 10.5743i 0.615466 + 0.788164i
\(181\) −1.67944 1.67944i −0.124832 0.124832i 0.641931 0.766763i \(-0.278134\pi\)
−0.766763 + 0.641931i \(0.778134\pi\)
\(182\) −3.66678 + 3.93024i −0.271800 + 0.291329i
\(183\) −0.250354 0.195877i −0.0185067 0.0144797i
\(184\) −13.0448 + 1.36155i −0.961678 + 0.100375i
\(185\) −2.29130 1.06395i −0.168460 0.0782229i
\(186\) 0.259339 0.0408274i 0.0190156 0.00299361i
\(187\) −8.87759 8.87759i −0.649193 0.649193i
\(188\) −0.274899 3.95861i −0.0200491 0.288711i
\(189\) −19.8244 + 7.56272i −1.44201 + 0.550107i
\(190\) 6.09387 14.4113i 0.442096 1.04551i
\(191\) 14.8761 1.07640 0.538200 0.842817i \(-0.319105\pi\)
0.538200 + 0.842817i \(0.319105\pi\)
\(192\) 4.48323 + 13.1111i 0.323549 + 0.946211i
\(193\) 5.60930i 0.403766i −0.979410 0.201883i \(-0.935294\pi\)
0.979410 0.201883i \(-0.0647061\pi\)
\(194\) 0.0286498 + 0.826120i 0.00205693 + 0.0593119i
\(195\) 3.42953 + 1.11082i 0.245594 + 0.0795474i
\(196\) −19.3018 + 1.34038i −1.37870 + 0.0957415i
\(197\) 9.31889 + 9.31889i 0.663944 + 0.663944i 0.956307 0.292364i \(-0.0944417\pi\)
−0.292364 + 0.956307i \(0.594442\pi\)
\(198\) −19.5773 10.8935i −1.39130 0.774164i
\(199\) 9.51884 0.674773 0.337386 0.941366i \(-0.390457\pi\)
0.337386 + 0.941366i \(0.390457\pi\)
\(200\) 9.79839 10.1976i 0.692850 0.721081i
\(201\) −20.9677 16.4051i −1.47894 1.15713i
\(202\) 7.53328 8.07456i 0.530040 0.568124i
\(203\) 6.41912 6.41912i 0.450534 0.450534i
\(204\) 1.56201 + 8.08644i 0.109362 + 0.566164i
\(205\) −6.41761 17.5440i −0.448225 1.22532i
\(206\) 0.691328 + 19.9345i 0.0481671 + 1.38890i
\(207\) −13.5027 + 3.34678i −0.938504 + 0.232617i
\(208\) 2.97130 + 2.24352i 0.206022 + 0.155560i
\(209\) 26.1284i 1.80734i
\(210\) 10.8565 + 19.5540i 0.749168 + 1.34936i
\(211\) 6.17042 + 6.17042i 0.424789 + 0.424789i 0.886849 0.462060i \(-0.152889\pi\)
−0.462060 + 0.886849i \(0.652889\pi\)
\(212\) −4.93188 4.29139i −0.338723 0.294734i
\(213\) 0.237101 0.0289460i 0.0162459 0.00198334i
\(214\) −14.2022 + 15.2226i −0.970840 + 1.04060i
\(215\) 0.988347 2.12849i 0.0674047 0.145162i
\(216\) 6.63563 + 13.1137i 0.451497 + 0.892273i
\(217\) 0.437652 0.0297098
\(218\) −14.7224 + 15.7802i −0.997125 + 1.06877i
\(219\) 1.61432 + 13.2231i 0.109085 + 0.893537i
\(220\) −8.43814 + 22.0569i −0.568899 + 1.48707i
\(221\) 1.56480 + 1.56480i 0.105260 + 0.105260i
\(222\) −2.23735 1.62872i −0.150161 0.109312i
\(223\) 2.88059 0.192898 0.0964492 0.995338i \(-0.469251\pi\)
0.0964492 + 0.995338i \(0.469251\pi\)
\(224\) 3.98377 + 22.7531i 0.266177 + 1.52025i
\(225\) 8.79433 12.1515i 0.586289 0.810102i
\(226\) −2.61428 + 0.0906631i −0.173899 + 0.00603082i
\(227\) 1.95092 + 1.95092i 0.129487 + 0.129487i 0.768880 0.639393i \(-0.220814\pi\)
−0.639393 + 0.768880i \(0.720814\pi\)
\(228\) 9.60133 14.1986i 0.635864 0.940326i
\(229\) 0.0765008 + 0.0765008i 0.00505532 + 0.00505532i 0.709630 0.704575i \(-0.248862\pi\)
−0.704575 + 0.709630i \(0.748862\pi\)
\(230\) 5.51185 + 13.5885i 0.363441 + 0.895997i
\(231\) −29.4149 23.0143i −1.93536 1.51423i
\(232\) −4.88385 3.96071i −0.320641 0.260033i
\(233\) 12.3612i 0.809808i −0.914359 0.404904i \(-0.867305\pi\)
0.914359 0.404904i \(-0.132695\pi\)
\(234\) 3.45077 + 1.92013i 0.225584 + 0.125523i
\(235\) −4.16651 + 1.52411i −0.271793 + 0.0994223i
\(236\) 9.05425 + 7.87839i 0.589382 + 0.512840i
\(237\) 16.6125 2.02810i 1.07910 0.131739i
\(238\) 0.475856 + 13.7214i 0.0308451 + 0.889423i
\(239\) −19.0058 −1.22938 −0.614692 0.788767i \(-0.710720\pi\)
−0.614692 + 0.788767i \(0.710720\pi\)
\(240\) 12.6906 8.88533i 0.819174 0.573545i
\(241\) −11.4896 −0.740108 −0.370054 0.929010i \(-0.620661\pi\)
−0.370054 + 0.929010i \(0.620661\pi\)
\(242\) −0.827645 23.8652i −0.0532030 1.53412i
\(243\) 8.89696 + 12.8002i 0.570740 + 0.821130i
\(244\) −0.240941 + 0.276901i −0.0154246 + 0.0177268i
\(245\) 7.43142 + 20.3155i 0.474776 + 1.29791i
\(246\) −3.18242 20.2150i −0.202904 1.28886i
\(247\) 4.60551i 0.293041i
\(248\) −0.0314699 0.301509i −0.00199834 0.0191458i
\(249\) 10.4936 13.4120i 0.665003 0.849952i
\(250\) −13.9947 7.35860i −0.885101 0.465399i
\(251\) −14.1571 14.1571i −0.893589 0.893589i 0.101270 0.994859i \(-0.467709\pi\)
−0.994859 + 0.101270i \(0.967709\pi\)
\(252\) 7.52758 + 23.3153i 0.474193 + 1.46873i
\(253\) −17.3149 17.3149i −1.08858 1.08858i
\(254\) −9.10825 + 0.315874i −0.571502 + 0.0198197i
\(255\) 8.20055 4.18794i 0.513538 0.262259i
\(256\) 15.3886 4.38059i 0.961790 0.273787i
\(257\) −1.89934 −0.118478 −0.0592388 0.998244i \(-0.518867\pi\)
−0.0592388 + 0.998244i \(0.518867\pi\)
\(258\) 1.51299 2.07837i 0.0941945 0.129394i
\(259\) −3.26213 3.26213i −0.202699 0.202699i
\(260\) 1.48734 3.88784i 0.0922410 0.241113i
\(261\) −5.71208 3.44293i −0.353569 0.213112i
\(262\) −6.80731 + 7.29643i −0.420557 + 0.450775i
\(263\) −14.3225 −0.883164 −0.441582 0.897221i \(-0.645583\pi\)
−0.441582 + 0.897221i \(0.645583\pi\)
\(264\) −13.7399 + 21.9195i −0.845634 + 1.34905i
\(265\) −3.07829 + 6.62936i −0.189098 + 0.407239i
\(266\) 19.4920 20.8926i 1.19513 1.28100i
\(267\) −1.40489 11.5077i −0.0859782 0.704262i
\(268\) −20.1793 + 23.1910i −1.23264 + 1.41662i
\(269\) −8.45418 8.45418i −0.515460 0.515460i 0.400734 0.916194i \(-0.368755\pi\)
−0.916194 + 0.400734i \(0.868755\pi\)
\(270\) 12.0252 11.1980i 0.731830 0.681487i
\(271\) 27.3338i 1.66041i 0.557457 + 0.830206i \(0.311777\pi\)
−0.557457 + 0.830206i \(0.688223\pi\)
\(272\) 9.41874 1.31448i 0.571095 0.0797019i
\(273\) 5.18480 + 4.05659i 0.313798 + 0.245516i
\(274\) −0.792816 22.8609i −0.0478958 1.38108i
\(275\) 26.3101 + 2.21618i 1.58656 + 0.133641i
\(276\) 3.04655 + 15.7718i 0.183381 + 0.949353i
\(277\) 9.07408 9.07408i 0.545209 0.545209i −0.379843 0.925051i \(-0.624022\pi\)
0.925051 + 0.379843i \(0.124022\pi\)
\(278\) 17.5382 18.7983i 1.05187 1.12745i
\(279\) −0.0773549 0.312092i −0.00463112 0.0186845i
\(280\) 23.2018 11.3420i 1.38657 0.677813i
\(281\) 5.07486 0.302741 0.151370 0.988477i \(-0.451631\pi\)
0.151370 + 0.988477i \(0.451631\pi\)
\(282\) −4.80084 + 0.755792i −0.285886 + 0.0450067i
\(283\) 16.1709 + 16.1709i 0.961262 + 0.961262i 0.999277 0.0380152i \(-0.0121035\pi\)
−0.0380152 + 0.999277i \(0.512104\pi\)
\(284\) −0.0191074 0.275151i −0.00113382 0.0163272i
\(285\) −18.2309 5.90494i −1.07990 0.349779i
\(286\) 0.240920 + 6.94696i 0.0142459 + 0.410783i
\(287\) 34.1142i 2.01370i
\(288\) 15.5212 6.86244i 0.914594 0.404373i
\(289\) −11.3475 −0.667498
\(290\) −2.73802 + 6.47513i −0.160782 + 0.380233i
\(291\) 1.00493 0.122685i 0.0589102 0.00719191i
\(292\) 15.3452 1.06562i 0.898008 0.0623608i
\(293\) −11.3911 11.3911i −0.665473 0.665473i 0.291192 0.956665i \(-0.405948\pi\)
−0.956665 + 0.291192i \(0.905948\pi\)
\(294\) 3.68516 + 23.4084i 0.214923 + 1.36520i
\(295\) 5.65131 12.1706i 0.329032 0.708599i
\(296\) −2.01279 + 2.48192i −0.116991 + 0.144259i
\(297\) −11.2125 + 25.0437i −0.650614 + 1.45318i
\(298\) −8.05243 + 8.63101i −0.466465 + 0.499981i
\(299\) 3.05200 + 3.05200i 0.176502 + 0.176502i
\(300\) −13.4830 10.8724i −0.778440 0.627719i
\(301\) 3.03034 3.03034i 0.174666 0.174666i
\(302\) −28.5361 + 0.989630i −1.64207 + 0.0569468i
\(303\) −10.6520 8.33414i −0.611942 0.478784i
\(304\) −15.7950 11.9262i −0.905903 0.684014i
\(305\) 0.372207 + 0.172831i 0.0213125 + 0.00989628i
\(306\) 9.70065 2.76458i 0.554549 0.158040i
\(307\) 17.3451 17.3451i 0.989935 0.989935i −0.0100151 0.999950i \(-0.503188\pi\)
0.999950 + 0.0100151i \(0.00318795\pi\)
\(308\) −28.3089 + 32.5341i −1.61305 + 1.85380i
\(309\) 24.2493 2.96042i 1.37950 0.168413i
\(310\) −0.314074 + 0.127397i −0.0178382 + 0.00723565i
\(311\) 24.7223i 1.40188i 0.713223 + 0.700938i \(0.247235\pi\)
−0.713223 + 0.700938i \(0.752765\pi\)
\(312\) 2.42186 3.86362i 0.137111 0.218734i
\(313\) 10.4396 0.590079 0.295039 0.955485i \(-0.404667\pi\)
0.295039 + 0.955485i \(0.404667\pi\)
\(314\) −20.8623 19.4638i −1.17733 1.09841i
\(315\) 22.7056 15.3228i 1.27932 0.863344i
\(316\) −1.33876 19.2785i −0.0753113 1.08450i
\(317\) −2.57617 + 2.57617i −0.144692 + 0.144692i −0.775742 0.631050i \(-0.782624\pi\)
0.631050 + 0.775742i \(0.282624\pi\)
\(318\) −4.71233 + 6.47327i −0.264254 + 0.363003i
\(319\) 11.7397i 0.657298i
\(320\) −9.48210 15.1687i −0.530066 0.847957i
\(321\) 20.0818 + 15.7120i 1.12086 + 0.876957i
\(322\) 0.928112 + 26.7622i 0.0517217 + 1.49140i
\(323\) −8.31824 8.31824i −0.462839 0.462839i
\(324\) 15.2958 9.48893i 0.849764 0.527163i
\(325\) −4.63754 0.390634i −0.257244 0.0216685i
\(326\) 6.91386 7.41063i 0.382923 0.410437i
\(327\) 20.8173 + 16.2875i 1.15120 + 0.900700i
\(328\) −23.5020 + 2.45302i −1.29768 + 0.135445i
\(329\) −8.10176 −0.446664
\(330\) 27.8084 + 7.95335i 1.53080 + 0.437818i
\(331\) 12.3750 12.3750i 0.680193 0.680193i −0.279850 0.960044i \(-0.590285\pi\)
0.960044 + 0.279850i \(0.0902848\pi\)
\(332\) −14.8342 12.9077i −0.814133 0.708403i
\(333\) −1.74966 + 2.90282i −0.0958807 + 0.159073i
\(334\) −12.5337 + 0.434667i −0.685812 + 0.0237839i
\(335\) 31.1730 + 14.4749i 1.70317 + 0.790851i
\(336\) 27.3387 7.27695i 1.49145 0.396990i
\(337\) 9.83951i 0.535992i 0.963420 + 0.267996i \(0.0863614\pi\)
−0.963420 + 0.267996i \(0.913639\pi\)
\(338\) 0.594734 + 17.1492i 0.0323493 + 0.932795i
\(339\) 0.388240 + 3.18014i 0.0210863 + 0.172721i
\(340\) −4.33566 9.70838i −0.235134 0.526511i
\(341\) 0.400204 0.400204i 0.0216723 0.0216723i
\(342\) −18.3438 10.2071i −0.991918 0.551937i
\(343\) 10.9195i 0.589599i
\(344\) −2.30557 1.86977i −0.124308 0.100811i
\(345\) 15.9944 8.16819i 0.861110 0.439761i
\(346\) −3.09190 + 3.31406i −0.166222 + 0.178165i
\(347\) −9.16621 + 9.16621i −0.492068 + 0.492068i −0.908957 0.416889i \(-0.863120\pi\)
0.416889 + 0.908957i \(0.363120\pi\)
\(348\) −4.31395 + 6.37955i −0.231252 + 0.341980i
\(349\) 13.3149 13.3149i 0.712732 0.712732i −0.254374 0.967106i \(-0.581869\pi\)
0.967106 + 0.254374i \(0.0818694\pi\)
\(350\) −19.3846 21.3997i −1.03615 1.14386i
\(351\) 1.97636 4.41430i 0.105490 0.235618i
\(352\) 24.4490 + 17.1633i 1.30314 + 0.914805i
\(353\) −23.3939 −1.24513 −0.622566 0.782567i \(-0.713910\pi\)
−0.622566 + 0.782567i \(0.713910\pi\)
\(354\) 8.65118 11.8840i 0.459805 0.631628i
\(355\) −0.289601 + 0.105937i −0.0153704 + 0.00562253i
\(356\) −13.3545 + 0.927381i −0.707786 + 0.0491511i
\(357\) 16.6913 2.03772i 0.883399 0.107848i
\(358\) 2.56000 2.74394i 0.135300 0.145022i
\(359\) 10.2744i 0.542262i 0.962542 + 0.271131i \(0.0873977\pi\)
−0.962542 + 0.271131i \(0.912602\pi\)
\(360\) −12.1889 14.5406i −0.642413 0.766359i
\(361\) 5.48218i 0.288536i
\(362\) 2.45598 + 2.29135i 0.129084 + 0.120430i
\(363\) −29.0309 + 3.54416i −1.52372 + 0.186020i
\(364\) 4.98985 5.73459i 0.261539 0.300574i
\(365\) −5.90808 16.1511i −0.309243 0.845386i
\(366\) 0.363443 + 0.264574i 0.0189974 + 0.0138295i
\(367\) −33.8052 −1.76462 −0.882309 0.470670i \(-0.844012\pi\)
−0.882309 + 0.470670i \(0.844012\pi\)
\(368\) 18.3704 2.56376i 0.957622 0.133645i
\(369\) −24.3270 + 6.02967i −1.26641 + 0.313892i
\(370\) 3.29059 + 1.39143i 0.171070 + 0.0723372i
\(371\) −9.43824 + 9.43824i −0.490009 + 0.490009i
\(372\) −0.364539 + 0.0704156i −0.0189004 + 0.00365088i
\(373\) 12.8667 12.8667i 0.666212 0.666212i −0.290625 0.956837i \(-0.593863\pi\)
0.956837 + 0.290625i \(0.0938631\pi\)
\(374\) 12.9824 + 12.1121i 0.671304 + 0.626303i
\(375\) −7.49233 + 17.8568i −0.386902 + 0.922121i
\(376\) 0.582566 + 5.58149i 0.0300435 + 0.287843i
\(377\) 2.06929i 0.106574i
\(378\) 27.6484 11.6606i 1.42208 0.599755i
\(379\) −6.45281 + 6.45281i −0.331459 + 0.331459i −0.853140 0.521681i \(-0.825305\pi\)
0.521681 + 0.853140i \(0.325305\pi\)
\(380\) −7.90648 + 20.6672i −0.405594 + 1.06020i
\(381\) 1.35264 + 11.0797i 0.0692980 + 0.567632i
\(382\) −21.0254 + 0.729159i −1.07575 + 0.0373070i
\(383\) 8.29165i 0.423683i −0.977304 0.211842i \(-0.932054\pi\)
0.977304 0.211842i \(-0.0679461\pi\)
\(384\) −6.97907 18.3110i −0.356149 0.934429i
\(385\) 43.7318 + 20.3065i 2.22878 + 1.03492i
\(386\) 0.274942 + 7.92798i 0.0139942 + 0.403523i
\(387\) −2.69656 1.62534i −0.137074 0.0826205i
\(388\) −0.0809851 1.16620i −0.00411140 0.0592050i
\(389\) 23.7779 23.7779i 1.20559 1.20559i 0.233143 0.972443i \(-0.425099\pi\)
0.972443 0.233143i \(-0.0749009\pi\)
\(390\) −4.90162 1.40189i −0.248203 0.0709875i
\(391\) 11.0247 0.557544
\(392\) 27.2147 2.84053i 1.37455 0.143468i
\(393\) 9.62550 + 7.53099i 0.485542 + 0.379888i
\(394\) −13.6278 12.7142i −0.686556 0.640533i
\(395\) −20.2909 + 7.42245i −1.02095 + 0.373464i
\(396\) 28.2038 + 14.4368i 1.41729 + 0.725478i
\(397\) −19.3636 19.3636i −0.971831 0.971831i 0.0277826 0.999614i \(-0.491155\pi\)
−0.999614 + 0.0277826i \(0.991155\pi\)
\(398\) −13.4536 + 0.466570i −0.674367 + 0.0233870i
\(399\) −27.5616 21.5642i −1.37981 1.07956i
\(400\) −13.3488 + 14.8932i −0.667442 + 0.744662i
\(401\) 26.8842i 1.34253i 0.741216 + 0.671266i \(0.234249\pi\)
−0.741216 + 0.671266i \(0.765751\pi\)
\(402\) 30.4390 + 22.1586i 1.51816 + 1.10517i
\(403\) −0.0705416 + 0.0705416i −0.00351393 + 0.00351393i
\(404\) −10.2515 + 11.7815i −0.510031 + 0.586153i
\(405\) −14.9400 13.4832i −0.742375 0.669985i
\(406\) −8.75792 + 9.38719i −0.434648 + 0.465879i
\(407\) −5.96600 −0.295724
\(408\) −2.60404 11.3525i −0.128919 0.562033i
\(409\) 28.3692i 1.40276i 0.712785 + 0.701382i \(0.247433\pi\)
−0.712785 + 0.701382i \(0.752567\pi\)
\(410\) 9.93035 + 24.4815i 0.490425 + 1.20905i
\(411\) −27.8092 + 3.39502i −1.37173 + 0.167464i
\(412\) −1.95420 28.1408i −0.0962763 1.38640i
\(413\) 17.3273 17.3273i 0.852621 0.852621i
\(414\) 18.9202 5.39205i 0.929878 0.265005i
\(415\) −9.25894 + 19.9399i −0.454504 + 0.978813i
\(416\) −4.30949 3.02527i −0.211290 0.148326i
\(417\) −24.7989 19.4026i −1.21441 0.950151i
\(418\) −1.28070 36.9290i −0.0626409 1.80626i
\(419\) 9.93798 9.93798i 0.485502 0.485502i −0.421381 0.906884i \(-0.638455\pi\)
0.906884 + 0.421381i \(0.138455\pi\)
\(420\) −16.3026 27.1049i −0.795485 1.32258i
\(421\) −26.3543 26.3543i −1.28443 1.28443i −0.938121 0.346307i \(-0.887436\pi\)
−0.346307 0.938121i \(-0.612564\pi\)
\(422\) −9.02349 8.41860i −0.439257 0.409811i
\(423\) 1.43198 + 5.77740i 0.0696254 + 0.280907i
\(424\) 7.18089 + 5.82355i 0.348735 + 0.282817i
\(425\) −9.08163 + 7.67054i −0.440524 + 0.372076i
\(426\) −0.333692 + 0.0525328i −0.0161674 + 0.00254522i
\(427\) 0.529912 + 0.529912i 0.0256442 + 0.0256442i
\(428\) 19.3267 22.2112i 0.934190 1.07362i
\(429\) 8.45063 1.03168i 0.408000 0.0498097i
\(430\) −1.29257 + 3.05678i −0.0623330 + 0.147411i
\(431\) −13.9667 −0.672753 −0.336377 0.941728i \(-0.609202\pi\)
−0.336377 + 0.941728i \(0.609202\pi\)
\(432\) −10.0213 18.2091i −0.482151 0.876088i
\(433\) 23.5387i 1.13120i 0.824680 + 0.565599i \(0.191355\pi\)
−0.824680 + 0.565599i \(0.808645\pi\)
\(434\) −0.618562 + 0.0214517i −0.0296919 + 0.00102971i
\(435\) 8.19127 + 2.65314i 0.392741 + 0.127208i
\(436\) 20.0346 23.0248i 0.959483 1.10269i
\(437\) −16.2239 16.2239i −0.776097 0.776097i
\(438\) −2.92975 18.6100i −0.139989 0.889219i
\(439\) 17.9084 0.854721 0.427361 0.904081i \(-0.359444\pi\)
0.427361 + 0.904081i \(0.359444\pi\)
\(440\) 10.8450 31.5880i 0.517017 1.50590i
\(441\) 28.1700 6.98219i 1.34143 0.332485i
\(442\) −2.28833 2.13493i −0.108845 0.101548i
\(443\) −8.23902 + 8.23902i −0.391448 + 0.391448i −0.875203 0.483755i \(-0.839272\pi\)
0.483755 + 0.875203i \(0.339272\pi\)
\(444\) 3.24202 + 2.19230i 0.153859 + 0.104042i
\(445\) 5.14164 + 14.0558i 0.243737 + 0.666310i
\(446\) −4.07132 + 0.141193i −0.192783 + 0.00668569i
\(447\) 11.3861 + 8.90848i 0.538544 + 0.421357i
\(448\) −6.74576 31.9631i −0.318707 1.51011i
\(449\) 11.2483i 0.530842i −0.964133 0.265421i \(-0.914489\pi\)
0.964133 0.265421i \(-0.0855110\pi\)
\(450\) −11.8340 + 17.6056i −0.557859 + 0.829936i
\(451\) −31.1951 31.1951i −1.46892 1.46892i
\(452\) 3.69048 0.256280i 0.173586 0.0120544i
\(453\) 4.23782 + 34.7127i 0.199110 + 1.63095i
\(454\) −2.85298 2.66173i −0.133897 0.124921i
\(455\) −7.70835 3.57931i −0.361373 0.167801i
\(456\) −12.8742 + 20.5384i −0.602891 + 0.961800i
\(457\) 27.3670 1.28017 0.640087 0.768302i \(-0.278898\pi\)
0.640087 + 0.768302i \(0.278898\pi\)
\(458\) −0.111873 0.104374i −0.00522749 0.00487707i
\(459\) −4.40329 11.5425i −0.205528 0.538758i
\(460\) −8.45629 18.9353i −0.394277 0.882862i
\(461\) −9.47250 9.47250i −0.441178 0.441178i 0.451230 0.892408i \(-0.350986\pi\)
−0.892408 + 0.451230i \(0.850986\pi\)
\(462\) 42.7021 + 31.0857i 1.98668 + 1.44624i
\(463\) 2.00138 0.0930119 0.0465059 0.998918i \(-0.485191\pi\)
0.0465059 + 0.998918i \(0.485191\pi\)
\(464\) 7.09680 + 5.35854i 0.329461 + 0.248764i
\(465\) 0.188794 + 0.369683i 0.00875509 + 0.0171436i
\(466\) 0.605888 + 17.4708i 0.0280672 + 0.809321i
\(467\) 20.3367 + 20.3367i 0.941071 + 0.941071i 0.998358 0.0572864i \(-0.0182448\pi\)
−0.0572864 + 0.998358i \(0.518245\pi\)
\(468\) −4.97131 2.54470i −0.229799 0.117629i
\(469\) 44.3811 + 44.3811i 2.04933 + 2.04933i
\(470\) 5.81409 2.35835i 0.268184 0.108783i
\(471\) −21.5330 + 27.5217i −0.992189 + 1.26813i
\(472\) −13.1831 10.6912i −0.606802 0.492104i
\(473\) 5.54208i 0.254825i
\(474\) −23.3801 + 3.68071i −1.07388 + 0.169061i
\(475\) 24.6524 + 2.07655i 1.13113 + 0.0952786i
\(476\) −1.34511 19.3699i −0.0616532 0.887820i
\(477\) 8.39866 + 5.06225i 0.384548 + 0.231784i
\(478\) 26.8621 0.931577i 1.22864 0.0426093i
\(479\) −31.7808 −1.45210 −0.726051 0.687641i \(-0.758646\pi\)
−0.726051 + 0.687641i \(0.758646\pi\)
\(480\) −17.5009 + 13.1802i −0.798803 + 0.601593i
\(481\) 1.05159 0.0479484
\(482\) 16.2389 0.563165i 0.739664 0.0256515i
\(483\) 32.5549 3.97439i 1.48130 0.180841i
\(484\) 2.33953 + 33.6897i 0.106342 + 1.53135i
\(485\) −1.22745 + 0.449003i −0.0557356 + 0.0203882i
\(486\) −13.2021 17.6552i −0.598857 0.800856i
\(487\) 2.12487i 0.0962873i 0.998840 + 0.0481436i \(0.0153305\pi\)
−0.998840 + 0.0481436i \(0.984669\pi\)
\(488\) 0.326964 0.403172i 0.0148010 0.0182507i
\(489\) −9.77616 7.64886i −0.442093 0.345894i
\(490\) −11.4991 28.3489i −0.519475 1.28067i
\(491\) 16.3251 + 16.3251i 0.736742 + 0.736742i 0.971946 0.235204i \(-0.0755758\pi\)
−0.235204 + 0.971946i \(0.575576\pi\)
\(492\) 5.48877 + 28.4151i 0.247453 + 1.28105i
\(493\) 3.73745 + 3.73745i 0.168326 + 0.168326i
\(494\) 0.225741 + 6.50926i 0.0101566 + 0.292865i
\(495\) 6.75108 34.7745i 0.303439 1.56300i
\(496\) 0.0592570 + 0.424599i 0.00266072 + 0.0190651i
\(497\) −0.563129 −0.0252598
\(498\) −14.1738 + 19.4704i −0.635145 + 0.872490i
\(499\) −3.87438 3.87438i −0.173441 0.173441i 0.615048 0.788489i \(-0.289136\pi\)
−0.788489 + 0.615048i \(0.789136\pi\)
\(500\) 20.1403 + 9.71442i 0.900700 + 0.434442i
\(501\) 1.86134 + 15.2466i 0.0831586 + 0.681167i
\(502\) 20.7031 + 19.3152i 0.924023 + 0.862081i
\(503\) −5.30301 −0.236450 −0.118225 0.992987i \(-0.537720\pi\)
−0.118225 + 0.992987i \(0.537720\pi\)
\(504\) −11.7820 32.5841i −0.524813 1.45141i
\(505\) 15.8366 + 7.35358i 0.704718 + 0.327230i
\(506\) 25.3210 + 23.6236i 1.12565 + 1.05020i
\(507\) 20.8612 2.54679i 0.926477 0.113107i
\(508\) 12.8578 0.892889i 0.570472 0.0396155i
\(509\) 14.4372 + 14.4372i 0.639917 + 0.639917i 0.950535 0.310618i \(-0.100536\pi\)
−0.310618 + 0.950535i \(0.600536\pi\)
\(510\) −11.3851 + 6.32104i −0.504140 + 0.279900i
\(511\) 31.4057i 1.38931i
\(512\) −21.5350 + 6.94565i −0.951723 + 0.306957i
\(513\) −10.5060 + 23.4658i −0.463852 + 1.03604i
\(514\) 2.68446 0.0930969i 0.118406 0.00410633i
\(515\) −29.6187 + 10.8346i −1.30516 + 0.477428i
\(516\) −2.03653 + 3.01166i −0.0896532 + 0.132581i
\(517\) −7.40852 + 7.40852i −0.325826 + 0.325826i
\(518\) 4.77047 + 4.45068i 0.209602 + 0.195552i
\(519\) 4.37193 + 3.42060i 0.191906 + 0.150148i
\(520\) −1.91159 + 5.56783i −0.0838288 + 0.244166i
\(521\) 0.00929696 0.000407307 0.000203654 1.00000i \(-0.499935\pi\)
0.000203654 1.00000i \(0.499935\pi\)
\(522\) 8.24201 + 4.58613i 0.360743 + 0.200729i
\(523\) −4.31180 4.31180i −0.188542 0.188542i 0.606524 0.795066i \(-0.292564\pi\)
−0.795066 + 0.606524i \(0.792564\pi\)
\(524\) 9.26357 10.6462i 0.404681 0.465080i
\(525\) −24.0519 + 25.9242i −1.04971 + 1.13143i
\(526\) 20.2429 0.702024i 0.882634 0.0306097i
\(527\) 0.254817i 0.0111000i
\(528\) 18.3451 31.6537i 0.798369 1.37755i
\(529\) −1.49730 −0.0650999
\(530\) 4.02580 9.52059i 0.174870 0.413548i
\(531\) −15.4188 9.29358i −0.669118 0.403307i
\(532\) −26.5253 + 30.4842i −1.15002 + 1.32166i
\(533\) 5.49859 + 5.49859i 0.238170 + 0.238170i
\(534\) 2.54968 + 16.1958i 0.110336 + 0.700859i
\(535\) −29.8560 13.8634i −1.29079 0.599366i
\(536\) 27.3839 33.7665i 1.18280 1.45849i
\(537\) −3.61983 2.83215i −0.156207 0.122216i
\(538\) 12.3632 + 11.5344i 0.533016 + 0.497285i
\(539\) 36.1231 + 36.1231i 1.55593 + 1.55593i
\(540\) −16.4471 + 16.4162i −0.707771 + 0.706442i
\(541\) −32.8523 + 32.8523i −1.41243 + 1.41243i −0.670730 + 0.741701i \(0.734019\pi\)
−0.741701 + 0.670730i \(0.765981\pi\)
\(542\) −1.33978 38.6326i −0.0575484 1.65941i
\(543\) 2.53494 3.23995i 0.108785 0.139040i
\(544\) −13.2477 + 2.31950i −0.567989 + 0.0994476i
\(545\) −30.9496 14.3712i −1.32573 0.615594i
\(546\) −7.52684 5.47930i −0.322119 0.234492i
\(547\) −3.27241 + 3.27241i −0.139918 + 0.139918i −0.773597 0.633678i \(-0.781544\pi\)
0.633678 + 0.773597i \(0.281544\pi\)
\(548\) 2.24107 + 32.2720i 0.0957340 + 1.37859i
\(549\) 0.284221 0.471544i 0.0121302 0.0201250i
\(550\) −37.2944 1.84267i −1.59024 0.0785718i
\(551\) 11.0000i 0.468617i
\(552\) −5.07894 22.1420i −0.216174 0.942427i
\(553\) −39.4556 −1.67782
\(554\) −12.3802 + 13.2697i −0.525985 + 0.563778i
\(555\) 1.34830 4.16272i 0.0572320 0.176697i
\(556\) −23.8664 + 27.4285i −1.01216 + 1.16323i
\(557\) 9.94610 9.94610i 0.421430 0.421430i −0.464266 0.885696i \(-0.653682\pi\)
0.885696 + 0.464266i \(0.153682\pi\)
\(558\) 0.124628 + 0.437308i 0.00527592 + 0.0185127i
\(559\) 0.976870i 0.0413172i
\(560\) −32.2367 + 17.1676i −1.36225 + 0.725463i
\(561\) 13.3997 17.1265i 0.565738 0.723080i
\(562\) −7.17262 + 0.248746i −0.302559 + 0.0104927i
\(563\) 19.4453 + 19.4453i 0.819523 + 0.819523i 0.986039 0.166516i \(-0.0532516\pi\)
−0.166516 + 0.986039i \(0.553252\pi\)
\(564\) 6.74829 1.30352i 0.284154 0.0548882i
\(565\) −1.42088 3.88430i −0.0597770 0.163414i
\(566\) −23.6480 22.0628i −0.994001 0.927368i
\(567\) −17.1635 32.4964i −0.720800 1.36472i
\(568\) 0.0404924 + 0.387952i 0.00169902 + 0.0162781i
\(569\) 29.5741 1.23981 0.619905 0.784677i \(-0.287171\pi\)
0.619905 + 0.784677i \(0.287171\pi\)
\(570\) 26.0563 + 7.45224i 1.09138 + 0.312140i
\(571\) 16.7406 16.7406i 0.700572 0.700572i −0.263961 0.964533i \(-0.585029\pi\)
0.964533 + 0.263961i \(0.0850291\pi\)
\(572\) −0.681016 9.80678i −0.0284747 0.410042i
\(573\) 3.12243 + 25.5763i 0.130441 + 1.06847i
\(574\) 1.67212 + 48.2158i 0.0697929 + 2.01249i
\(575\) −17.7129 + 14.9607i −0.738678 + 0.623903i
\(576\) −21.6007 + 10.4599i −0.900029 + 0.435829i
\(577\) 17.2485i 0.718063i 0.933325 + 0.359032i \(0.116893\pi\)
−0.933325 + 0.359032i \(0.883107\pi\)
\(578\) 16.0381 0.556201i 0.667097 0.0231349i
\(579\) 9.64398 1.17736i 0.400790 0.0489295i
\(580\) 3.55244 9.28592i 0.147507 0.385577i
\(581\) −28.3885 + 28.3885i −1.17775 + 1.17775i
\(582\) −1.41432 + 0.222656i −0.0586256 + 0.00922937i
\(583\) 17.2613i 0.714889i
\(584\) −21.6361 + 2.25826i −0.895308 + 0.0934475i
\(585\) −1.18997 + 6.12950i −0.0491993 + 0.253424i
\(586\) 16.6580 + 15.5414i 0.688138 + 0.642008i
\(587\) −15.6372 + 15.6372i −0.645415 + 0.645415i −0.951881 0.306466i \(-0.900853\pi\)
0.306466 + 0.951881i \(0.400853\pi\)
\(588\) −6.35584 32.9039i −0.262111 1.35694i
\(589\) 0.374988 0.374988i 0.0154511 0.0154511i
\(590\) −7.39082 + 17.4785i −0.304275 + 0.719577i
\(591\) −14.0659 + 17.9778i −0.578592 + 0.739509i
\(592\) 2.72315 3.60652i 0.111921 0.148227i
\(593\) 15.1360 0.621561 0.310781 0.950482i \(-0.399410\pi\)
0.310781 + 0.950482i \(0.399410\pi\)
\(594\) 14.6198 35.9454i 0.599857 1.47486i
\(595\) −20.3872 + 7.45767i −0.835794 + 0.305734i
\(596\) 10.9580 12.5935i 0.448856 0.515848i
\(597\) 1.99796 + 16.3656i 0.0817709 + 0.669800i
\(598\) −4.46318 4.16399i −0.182513 0.170278i
\(599\) 42.4714i 1.73533i −0.497145 0.867667i \(-0.665618\pi\)
0.497145 0.867667i \(-0.334382\pi\)
\(600\) 19.5893 + 14.7058i 0.799729 + 0.600362i
\(601\) 7.07055i 0.288414i 0.989548 + 0.144207i \(0.0460631\pi\)
−0.989548 + 0.144207i \(0.953937\pi\)
\(602\) −4.13444 + 4.43150i −0.168507 + 0.180615i
\(603\) 23.8040 39.4927i 0.969376 1.60827i
\(604\) 40.2834 2.79741i 1.63911 0.113825i
\(605\) 35.4590 12.9709i 1.44161 0.527344i
\(606\) 15.4637 + 11.2571i 0.628169 + 0.457287i
\(607\) 2.22367 0.0902561 0.0451281 0.998981i \(-0.485630\pi\)
0.0451281 + 0.998981i \(0.485630\pi\)
\(608\) 22.9086 + 16.0819i 0.929066 + 0.652206i
\(609\) 12.3836 + 9.68897i 0.501811 + 0.392617i
\(610\) −0.534535 0.226029i −0.0216427 0.00915166i
\(611\) 1.30586 1.30586i 0.0528293 0.0528293i
\(612\) −13.5750 + 4.38284i −0.548738 + 0.177166i
\(613\) 31.9461 31.9461i 1.29029 1.29029i 0.355683 0.934607i \(-0.384248\pi\)
0.934607 0.355683i \(-0.115752\pi\)
\(614\) −23.6647 + 25.3651i −0.955030 + 1.02365i
\(615\) 28.8161 14.7161i 1.16198 0.593411i
\(616\) 38.4161 47.3700i 1.54783 1.90859i
\(617\) 33.0436i 1.33029i −0.746716 0.665143i \(-0.768370\pi\)
0.746716 0.665143i \(-0.231630\pi\)
\(618\) −34.1280 + 5.37274i −1.37283 + 0.216123i
\(619\) −24.5945 + 24.5945i −0.988537 + 0.988537i −0.999935 0.0113984i \(-0.996372\pi\)
0.0113984 + 0.999935i \(0.496372\pi\)
\(620\) 0.437656 0.195453i 0.0175767 0.00784956i
\(621\) −8.58822 22.5126i −0.344633 0.903398i
\(622\) −1.21177 34.9417i −0.0485877 1.40103i
\(623\) 27.3315i 1.09501i
\(624\) −3.23359 + 5.57941i −0.129447 + 0.223355i
\(625\) 4.18198 24.6477i 0.167279 0.985910i
\(626\) −14.7549 + 0.511699i −0.589724 + 0.0204516i
\(627\) −44.9223 + 5.48423i −1.79402 + 0.219019i
\(628\) 30.4401 + 26.4869i 1.21469 + 1.05694i
\(629\) 1.89933 1.89933i 0.0757313 0.0757313i
\(630\) −31.3403 + 22.7697i −1.24863 + 0.907166i
\(631\) −5.55087 −0.220977 −0.110488 0.993877i \(-0.535241\pi\)
−0.110488 + 0.993877i \(0.535241\pi\)
\(632\) 2.83710 + 27.1819i 0.112854 + 1.08124i
\(633\) −9.31357 + 11.9038i −0.370181 + 0.473135i
\(634\) 3.51479 3.76734i 0.139590 0.149620i
\(635\) −4.95041 13.5331i −0.196451 0.537043i
\(636\) 6.34294 9.38006i 0.251514 0.371943i
\(637\) −6.36721 6.36721i −0.252278 0.252278i
\(638\) 0.575427 + 16.5925i 0.0227814 + 0.656903i
\(639\) 0.0995328 + 0.401569i 0.00393745 + 0.0158858i
\(640\) 14.1452 + 20.9741i 0.559137 + 0.829076i
\(641\) 18.9176i 0.747200i −0.927590 0.373600i \(-0.878123\pi\)
0.927590 0.373600i \(-0.121877\pi\)
\(642\) −29.1530 21.2224i −1.15058 0.837582i
\(643\) 8.14527 8.14527i 0.321218 0.321218i −0.528016 0.849234i \(-0.677064\pi\)
0.849234 + 0.528016i \(0.177064\pi\)
\(644\) −2.62352 37.7793i −0.103381 1.48871i
\(645\) 3.86693 + 1.25249i 0.152260 + 0.0493168i
\(646\) 12.1644 + 11.3490i 0.478603 + 0.446520i
\(647\) −32.1389 −1.26351 −0.631755 0.775168i \(-0.717665\pi\)
−0.631755 + 0.775168i \(0.717665\pi\)
\(648\) −21.1534 + 14.1610i −0.830983 + 0.556298i
\(649\) 31.6893i 1.24391i
\(650\) 6.57367 + 0.324797i 0.257841 + 0.0127396i
\(651\) 0.0918610 + 0.752450i 0.00360032 + 0.0294908i
\(652\) −9.40856 + 10.8128i −0.368468 + 0.423462i
\(653\) 16.6066 16.6066i 0.649866 0.649866i −0.303094 0.952961i \(-0.598020\pi\)
0.952961 + 0.303094i \(0.0980197\pi\)
\(654\) −30.2208 21.9998i −1.18173 0.860260i
\(655\) −14.3104 6.64493i −0.559155 0.259639i
\(656\) 33.0967 4.61897i 1.29221 0.180340i
\(657\) −22.3955 + 5.55094i −0.873733 + 0.216563i
\(658\) 11.4507 0.397111i 0.446396 0.0154810i
\(659\) 9.70238 9.70238i 0.377951 0.377951i −0.492412 0.870363i \(-0.663884\pi\)
0.870363 + 0.492412i \(0.163884\pi\)
\(660\) −39.6932 9.87794i −1.54506 0.384498i
\(661\) −8.55783 8.55783i −0.332861 0.332861i 0.520811 0.853672i \(-0.325630\pi\)
−0.853672 + 0.520811i \(0.825630\pi\)
\(662\) −16.8839 + 18.0970i −0.656210 + 0.703360i
\(663\) −2.36189 + 3.01878i −0.0917284 + 0.117240i
\(664\) 21.5988 + 17.5162i 0.838197 + 0.679760i
\(665\) 40.9764 + 19.0271i 1.58900 + 0.737838i
\(666\) 2.33062 4.18850i 0.0903097 0.162301i
\(667\) 7.28955 + 7.28955i 0.282252 + 0.282252i
\(668\) 17.6933 1.22868i 0.684575 0.0475392i
\(669\) 0.604621 + 4.95255i 0.0233760 + 0.191477i
\(670\) −44.7684 18.9304i −1.72955 0.731346i
\(671\) 0.969138 0.0374131
\(672\) −38.2828 + 11.6250i −1.47679 + 0.448444i
\(673\) 50.4678i 1.94539i −0.232087 0.972695i \(-0.574555\pi\)
0.232087 0.972695i \(-0.425445\pi\)
\(674\) −0.482287 13.9068i −0.0185770 0.535670i
\(675\) 22.7378 + 12.5694i 0.875180 + 0.483797i
\(676\) −1.68115 24.2090i −0.0646597 0.931114i
\(677\) 0.103733 + 0.103733i 0.00398677 + 0.00398677i 0.709097 0.705111i \(-0.249103\pi\)
−0.705111 + 0.709097i \(0.749103\pi\)
\(678\) −0.704600 4.47566i −0.0270600 0.171887i
\(679\) −2.38677 −0.0915958
\(680\) 6.60372 + 13.5090i 0.253241 + 0.518045i
\(681\) −2.94470 + 3.76368i −0.112841 + 0.144224i
\(682\) −0.546018 + 0.585250i −0.0209081 + 0.0224104i
\(683\) 6.39553 6.39553i 0.244718 0.244718i −0.574081 0.818799i \(-0.694640\pi\)
0.818799 + 0.574081i \(0.194640\pi\)
\(684\) 26.4267 + 13.5272i 1.01045 + 0.517226i
\(685\) 33.9668 12.4251i 1.29781 0.474739i
\(686\) −0.535225 15.4333i −0.0204350 0.589245i
\(687\) −0.115470 + 0.147584i −0.00440544 + 0.00563068i
\(688\) 3.35025 + 2.52966i 0.127727 + 0.0964422i
\(689\) 3.04254i 0.115912i
\(690\) −22.2056 + 12.3286i −0.845351 + 0.469342i
\(691\) 10.3797 + 10.3797i 0.394861 + 0.394861i 0.876416 0.481555i \(-0.159928\pi\)
−0.481555 + 0.876416i \(0.659928\pi\)
\(692\) 4.20754 4.83552i 0.159947 0.183819i
\(693\) 33.3940 55.4033i 1.26853 2.10460i
\(694\) 12.5059 13.4045i 0.474718 0.508827i
\(695\) 36.8690 + 17.1198i 1.39852 + 0.649391i
\(696\) 5.78449 9.22807i 0.219261 0.349789i
\(697\) 19.8625 0.752347
\(698\) −18.1662 + 19.4715i −0.687601 + 0.737006i
\(699\) 21.2524 2.59455i 0.803840 0.0981349i
\(700\) 28.4463 + 29.2954i 1.07517 + 1.10726i
\(701\) 4.02073 + 4.02073i 0.151861 + 0.151861i 0.778949 0.627088i \(-0.215753\pi\)
−0.627088 + 0.778949i \(0.715753\pi\)
\(702\) −2.57695 + 6.33589i −0.0972605 + 0.239133i
\(703\) −5.59010 −0.210835
\(704\) −35.3967 23.0596i −1.33406 0.869090i
\(705\) −3.49492 6.84352i −0.131626 0.257742i
\(706\) 33.0641 1.14666i 1.24438 0.0431552i
\(707\) 22.5466 + 22.5466i 0.847951 + 0.847951i
\(708\) −11.6448 + 17.2205i −0.437637 + 0.647185i
\(709\) −12.9713 12.9713i −0.487149 0.487149i 0.420257 0.907405i \(-0.361940\pi\)
−0.907405 + 0.420257i \(0.861940\pi\)
\(710\) 0.404120 0.163922i 0.0151663 0.00615188i
\(711\) 6.97377 + 28.1360i 0.261537 + 1.05518i
\(712\) 18.8293 1.96530i 0.705658 0.0736528i
\(713\) 0.496998i 0.0186127i
\(714\) −23.4910 + 3.69817i −0.879130 + 0.138401i
\(715\) −10.3218 + 3.77573i −0.386014 + 0.141204i
\(716\) −3.48372 + 4.00367i −0.130193 + 0.149624i
\(717\) −3.98922 32.6764i −0.148980 1.22032i
\(718\) −0.503604 14.5215i −0.0187943 0.541936i
\(719\) 27.1715 1.01332 0.506662 0.862145i \(-0.330879\pi\)
0.506662 + 0.862145i \(0.330879\pi\)
\(720\) 17.9401 + 19.9538i 0.668588 + 0.743633i
\(721\) −57.5935 −2.14489
\(722\) −0.268711 7.74831i −0.0100004 0.288362i
\(723\) −2.41160 19.7539i −0.0896885 0.734654i
\(724\) −3.58351 3.11813i −0.133180 0.115884i
\(725\) −11.0765 0.933010i −0.411372 0.0346511i
\(726\) 40.8574 6.43215i 1.51636 0.238720i
\(727\) 8.78770i 0.325918i 0.986633 + 0.162959i \(0.0521038\pi\)
−0.986633 + 0.162959i \(0.947896\pi\)
\(728\) −6.77139 + 8.34964i −0.250964 + 0.309458i
\(729\) −20.1397 + 17.9831i −0.745915 + 0.666041i
\(730\) 9.14192 + 22.5377i 0.338358 + 0.834160i
\(731\) 1.76437 + 1.76437i 0.0652577 + 0.0652577i
\(732\) −0.526645 0.356126i −0.0194653 0.0131628i
\(733\) 10.8147 + 10.8147i 0.399449 + 0.399449i 0.878039 0.478590i \(-0.158852\pi\)
−0.478590 + 0.878039i \(0.658852\pi\)
\(734\) 47.7791 1.65698i 1.76356 0.0611601i
\(735\) −33.3683 + 17.0408i −1.23081 + 0.628561i
\(736\) −25.8383 + 4.52396i −0.952414 + 0.166755i
\(737\) 81.1672 2.98983
\(738\) 34.0873 9.71451i 1.25477 0.357596i
\(739\) 22.4470 + 22.4470i 0.825725 + 0.825725i 0.986922 0.161197i \(-0.0515354\pi\)
−0.161197 + 0.986922i \(0.551535\pi\)
\(740\) −4.71900 1.80531i −0.173474 0.0663646i
\(741\) 7.91818 0.966673i 0.290882 0.0355116i
\(742\) 12.8771 13.8023i 0.472731 0.506698i
\(743\) 32.8288 1.20437 0.602187 0.798355i \(-0.294296\pi\)
0.602187 + 0.798355i \(0.294296\pi\)
\(744\) 0.511774 0.117391i 0.0187626 0.00430376i
\(745\) −16.9279 7.86035i −0.620192 0.287981i
\(746\) −17.5547 + 18.8160i −0.642722 + 0.688902i
\(747\) 25.2616 + 15.2263i 0.924275 + 0.557102i
\(748\) −18.9425 16.4825i −0.692608 0.602660i
\(749\) −42.5060 42.5060i −1.55314 1.55314i
\(750\) 9.71412 25.6054i 0.354710 0.934976i
\(751\) 11.6289i 0.424346i −0.977232 0.212173i \(-0.931946\pi\)
0.977232 0.212173i \(-0.0680541\pi\)
\(752\) −1.09696 7.86012i −0.0400019 0.286629i
\(753\) 21.3686 27.3116i 0.778716 0.995291i
\(754\) −0.101427 2.92466i −0.00369376 0.106510i
\(755\) −15.5096 42.3990i −0.564452 1.54306i
\(756\) −38.5057 + 17.8358i −1.40044 + 0.648683i
\(757\) −35.0528 + 35.0528i −1.27401 + 1.27401i −0.330051 + 0.943963i \(0.607066\pi\)
−0.943963 + 0.330051i \(0.892934\pi\)
\(758\) 8.80389 9.43646i 0.319772 0.342748i
\(759\) 26.1350 33.4036i 0.948639 1.21247i
\(760\) 10.1617 29.5977i 0.368604 1.07362i
\(761\) −34.3245 −1.24426 −0.622132 0.782912i \(-0.713733\pi\)
−0.622132 + 0.782912i \(0.713733\pi\)
\(762\) −2.45485 15.5934i −0.0889299 0.564889i
\(763\) −44.0630 44.0630i −1.59519 1.59519i
\(764\) 29.6808 2.06114i 1.07381 0.0745692i
\(765\) 8.92152 + 13.2201i 0.322558 + 0.477972i
\(766\) 0.406418 + 11.7191i 0.0146845 + 0.423429i
\(767\) 5.58569i 0.201688i
\(768\) 10.7615 + 25.5380i 0.388322 + 0.921524i
\(769\) 0.873616 0.0315034 0.0157517 0.999876i \(-0.494986\pi\)
0.0157517 + 0.999876i \(0.494986\pi\)
\(770\) −62.8043 26.5570i −2.26331 0.957046i
\(771\) −0.398662 3.26551i −0.0143575 0.117604i
\(772\) −0.777185 11.1916i −0.0279715 0.402796i
\(773\) 23.8387 + 23.8387i 0.857420 + 0.857420i 0.991033 0.133614i \(-0.0426582\pi\)
−0.133614 + 0.991033i \(0.542658\pi\)
\(774\) 3.89088 + 2.16502i 0.139855 + 0.0778200i
\(775\) −0.345790 0.409402i −0.0124211 0.0147062i
\(776\) 0.171623 + 1.64430i 0.00616092 + 0.0590269i
\(777\) 4.92383 6.29324i 0.176641 0.225769i
\(778\) −32.4413 + 34.7722i −1.16308 + 1.24665i
\(779\) −29.2296 29.2296i −1.04726 1.04726i
\(780\) 6.99649 + 1.74113i 0.250514 + 0.0623423i
\(781\) −0.514943 + 0.514943i −0.0184261 + 0.0184261i
\(782\) −15.5820 + 0.540381i −0.557209 + 0.0193240i
\(783\) 4.72044 10.5434i 0.168695 0.376789i
\(784\) −38.3251 + 5.34864i −1.36875 + 0.191023i
\(785\) 18.9995 40.9171i 0.678123 1.46040i
\(786\) −13.9735 10.1722i −0.498417 0.362832i
\(787\) −11.2684 + 11.2684i −0.401674 + 0.401674i −0.878823 0.477148i \(-0.841670\pi\)
0.477148 + 0.878823i \(0.341670\pi\)
\(788\) 19.8842 + 17.3018i 0.708344 + 0.616353i
\(789\) −3.00622 24.6245i −0.107024 0.876656i
\(790\) 28.3147 11.4852i 1.00739 0.408625i
\(791\) 7.55300i 0.268554i
\(792\) −40.5698 19.0221i −1.44159 0.675920i
\(793\) −0.170824 −0.00606614
\(794\) 28.3169 + 26.4187i 1.00493 + 0.937565i
\(795\) −12.0439 3.90099i −0.427153 0.138354i
\(796\) 18.9919 1.31887i 0.673152 0.0467459i
\(797\) −36.0183 + 36.0183i −1.27583 + 1.27583i −0.332855 + 0.942978i \(0.608012\pi\)
−0.942978 + 0.332855i \(0.891988\pi\)
\(798\) 40.0116 + 29.1271i 1.41639 + 1.03109i
\(799\) 4.71714i 0.166880i
\(800\) 18.1368 21.7039i 0.641232 0.767347i
\(801\) 19.4902 4.83083i 0.688653 0.170689i
\(802\) −1.31774 37.9971i −0.0465310 1.34173i
\(803\) −28.7184 28.7184i −1.01345 1.01345i
\(804\) −44.1075 29.8262i −1.55555 1.05189i
\(805\) −39.7633 + 14.5455i −1.40147 + 0.512661i
\(806\) 0.0962433 0.103159i 0.00339003 0.00363360i
\(807\) 12.7607 16.3096i 0.449197 0.574127i
\(808\) 13.9116 17.1541i 0.489409 0.603478i
\(809\) −47.3602 −1.66510 −0.832548 0.553953i \(-0.813119\pi\)
−0.832548 + 0.553953i \(0.813119\pi\)
\(810\) 21.7765 + 18.3244i 0.765150 + 0.643852i
\(811\) 10.0673 10.0673i 0.353512 0.353512i −0.507903 0.861415i \(-0.669579\pi\)
0.861415 + 0.507903i \(0.169579\pi\)
\(812\) 11.9180 13.6968i 0.418240 0.480663i
\(813\) −46.9947 + 5.73723i −1.64817 + 0.201213i
\(814\) 8.43213 0.292426i 0.295546 0.0102495i
\(815\) 14.5344 + 6.74894i 0.509118 + 0.236405i
\(816\) 4.23691 + 15.9176i 0.148321 + 0.557227i
\(817\) 5.19289i 0.181676i
\(818\) −1.39053 40.0960i −0.0486186 1.40192i
\(819\) −5.88617 + 9.76561i −0.205679 + 0.341238i
\(820\) −15.2352 34.1145i −0.532035 1.19133i
\(821\) 29.4088 29.4088i 1.02637 1.02637i 0.0267305 0.999643i \(-0.491490\pi\)
0.999643 0.0267305i \(-0.00850959\pi\)
\(822\) 39.1381 6.16147i 1.36510 0.214906i
\(823\) 8.03877i 0.280214i 0.990136 + 0.140107i \(0.0447446\pi\)
−0.990136 + 0.140107i \(0.955255\pi\)
\(824\) 4.14132 + 39.6775i 0.144270 + 1.38223i
\(825\) 1.71211 + 45.6998i 0.0596082 + 1.59106i
\(826\) −23.6405 + 25.3391i −0.822558 + 0.881660i
\(827\) −25.7224 + 25.7224i −0.894456 + 0.894456i −0.994939 0.100482i \(-0.967961\pi\)
0.100482 + 0.994939i \(0.467961\pi\)
\(828\) −26.4769 + 8.54831i −0.920134 + 0.297074i
\(829\) −7.82520 + 7.82520i −0.271780 + 0.271780i −0.829817 0.558036i \(-0.811555\pi\)
0.558036 + 0.829817i \(0.311555\pi\)
\(830\) 12.1089 28.6362i 0.420306 0.993977i
\(831\) 17.5055 + 13.6963i 0.607261 + 0.475121i
\(832\) 6.23916 + 4.06457i 0.216304 + 0.140914i
\(833\) −23.0003 −0.796913
\(834\) 36.0008 + 26.2075i 1.24661 + 0.907490i
\(835\) −6.81215 18.6225i −0.235744 0.644459i
\(836\) 3.62018 + 52.1313i 0.125206 + 1.80300i
\(837\) 0.520339 0.198502i 0.0179855 0.00686122i
\(838\) −13.5589 + 14.5331i −0.468383 + 0.502038i
\(839\) 49.5577i 1.71092i 0.517866 + 0.855461i \(0.326726\pi\)
−0.517866 + 0.855461i \(0.673274\pi\)
\(840\) 24.3701 + 37.5099i 0.840847 + 1.29422i
\(841\) 24.0576i 0.829572i
\(842\) 38.5399 + 35.9564i 1.32817 + 1.23914i
\(843\) 1.06519 + 8.72513i 0.0366870 + 0.300509i
\(844\) 13.1661 + 11.4563i 0.453196 + 0.394340i
\(845\) −25.4803 + 9.32074i −0.876551 + 0.320643i
\(846\) −2.30709 8.09538i −0.0793195 0.278325i
\(847\) 68.9499 2.36914
\(848\) −10.4347 7.87883i −0.358327 0.270560i
\(849\) −24.4083 + 31.1966i −0.837689 + 1.07067i
\(850\) 12.4597 11.2864i 0.427363 0.387121i
\(851\) 3.70447 3.70447i 0.126988 0.126988i
\(852\) 0.469053 0.0906040i 0.0160695 0.00310404i
\(853\) −27.2084 + 27.2084i −0.931598 + 0.931598i −0.997806 0.0662080i \(-0.978910\pi\)
0.0662080 + 0.997806i \(0.478910\pi\)
\(854\) −0.774932 0.722984i −0.0265176 0.0247400i
\(855\) 6.32572 32.5835i 0.216335 1.11433i
\(856\) −26.2269 + 32.3398i −0.896418 + 1.10535i
\(857\) 39.9345i 1.36414i −0.731289 0.682068i \(-0.761081\pi\)
0.731289 0.682068i \(-0.238919\pi\)
\(858\) −11.8932 + 1.87234i −0.406029 + 0.0639207i
\(859\) −33.5029 + 33.5029i −1.14311 + 1.14311i −0.155227 + 0.987879i \(0.549611\pi\)
−0.987879 + 0.155227i \(0.950389\pi\)
\(860\) 1.67704 4.38369i 0.0571865 0.149483i
\(861\) 58.6520 7.16040i 1.99886 0.244026i
\(862\) 19.7401 0.684584i 0.672349 0.0233170i
\(863\) 4.15052i 0.141285i −0.997502 0.0706426i \(-0.977495\pi\)
0.997502 0.0706426i \(-0.0225050\pi\)
\(864\) 15.0563 + 25.2450i 0.512226 + 0.858851i
\(865\) −6.49984 3.01815i −0.221001 0.102620i
\(866\) −1.15376 33.2688i −0.0392063 1.13052i
\(867\) −2.38178 19.5096i −0.0808894 0.662579i
\(868\) 0.873202 0.0606381i 0.0296384 0.00205819i
\(869\) −36.0795 + 36.0795i −1.22391 + 1.22391i
\(870\) −11.7073 3.34835i −0.396914 0.113520i
\(871\) −14.3069 −0.484770
\(872\) −27.1876 + 33.5244i −0.920688 + 1.13528i
\(873\) 0.421861 + 1.70202i 0.0142778 + 0.0576045i
\(874\) 23.7256 + 22.1351i 0.802529 + 0.748732i
\(875\) 22.6349 39.6475i 0.765201 1.34033i
\(876\) 5.05298 + 26.1591i 0.170724 + 0.883833i
\(877\) −19.6248 19.6248i −0.662681 0.662681i 0.293330 0.956011i \(-0.405236\pi\)
−0.956011 + 0.293330i \(0.905236\pi\)
\(878\) −25.3111 + 0.877787i −0.854208 + 0.0296239i
\(879\) 17.1936 21.9754i 0.579924 0.741212i
\(880\) −13.7797 + 45.1769i −0.464513 + 1.52291i
\(881\) 20.6430i 0.695481i 0.937591 + 0.347740i \(0.113051\pi\)
−0.937591 + 0.347740i \(0.886949\pi\)
\(882\) −39.4722 + 11.2491i −1.32910 + 0.378778i
\(883\) 2.68626 2.68626i 0.0904000 0.0904000i −0.660461 0.750861i \(-0.729639\pi\)
0.750861 + 0.660461i \(0.229639\pi\)
\(884\) 3.33889 + 2.90527i 0.112299 + 0.0977149i
\(885\) 22.1109 + 7.16168i 0.743250 + 0.240737i
\(886\) 11.2409 12.0486i 0.377645 0.404780i
\(887\) 5.25621 0.176486 0.0882432 0.996099i \(-0.471875\pi\)
0.0882432 + 0.996099i \(0.471875\pi\)
\(888\) −4.68961 2.93962i −0.157373 0.0986470i
\(889\) 26.3149i 0.882575i
\(890\) −7.95596 19.6140i −0.266684 0.657462i
\(891\) −45.4107 14.0209i −1.52132 0.469719i
\(892\) 5.74733 0.399114i 0.192435 0.0133633i
\(893\) −6.94173 + 6.94173i −0.232296 + 0.232296i
\(894\) −16.5293 12.0328i −0.552824 0.402438i
\(895\) 5.38167 + 2.49894i 0.179889 + 0.0835302i
\(896\) 11.1009 + 44.8448i 0.370855 + 1.49816i
\(897\) −4.60666 + 5.88785i −0.153812 + 0.196590i
\(898\) 0.551342 + 15.8980i 0.0183985 + 0.530523i
\(899\) −0.168485 + 0.168485i −0.00561930 + 0.00561930i
\(900\) 15.8628 25.4632i 0.528759 0.848772i
\(901\) −5.49529 5.49529i −0.183075 0.183075i
\(902\) 45.6191 + 42.5611i 1.51895 + 1.41713i
\(903\) 5.84607 + 4.57396i 0.194545 + 0.152212i
\(904\) −5.20344 + 0.543107i −0.173064 + 0.0180635i
\(905\) −2.23669 + 4.81690i −0.0743500 + 0.160119i
\(906\) −7.69104 48.8540i −0.255518 1.62306i
\(907\) 25.4215 + 25.4215i 0.844108 + 0.844108i 0.989390 0.145282i \(-0.0464091\pi\)
−0.145282 + 0.989390i \(0.546409\pi\)
\(908\) 4.16277 + 3.62216i 0.138146 + 0.120206i
\(909\) 12.0930 20.0632i 0.401098 0.665453i
\(910\) 11.0701 + 4.68104i 0.366972 + 0.155175i
\(911\) 29.2937 0.970544 0.485272 0.874363i \(-0.338721\pi\)
0.485272 + 0.874363i \(0.338721\pi\)
\(912\) 17.1893 29.6593i 0.569193 0.982117i
\(913\) 51.9188i 1.71826i
\(914\) −38.6795 + 1.34140i −1.27941 + 0.0443697i
\(915\) −0.219022 + 0.676206i −0.00724064 + 0.0223547i
\(916\) 0.163234 + 0.142035i 0.00539339 + 0.00469296i
\(917\) −20.3738 20.3738i −0.672802 0.672802i
\(918\) 6.78922 + 16.0979i 0.224078 + 0.531310i
\(919\) −42.0179 −1.38604 −0.693022 0.720917i \(-0.743721\pi\)
−0.693022 + 0.720917i \(0.743721\pi\)
\(920\) 12.8799 + 26.3480i 0.424639 + 0.868667i
\(921\) 33.4618 + 26.1805i 1.10260 + 0.862676i
\(922\) 13.8524 + 12.9238i 0.456204 + 0.425622i
\(923\) 0.0907661 0.0907661i 0.00298760 0.00298760i
\(924\) −61.8773 41.8424i −2.03561 1.37651i
\(925\) −0.474146 + 5.62897i −0.0155898 + 0.185080i
\(926\) −2.82867 + 0.0980982i −0.0929560 + 0.00322371i
\(927\) 10.1796 + 41.0702i 0.334343 + 1.34892i
\(928\) −10.2930 7.22571i −0.337885 0.237195i
\(929\) 50.1590i 1.64566i 0.568286 + 0.822831i \(0.307607\pi\)
−0.568286 + 0.822831i \(0.692393\pi\)
\(930\) −0.284954 0.513243i −0.00934401 0.0168299i
\(931\) 33.8471 + 33.8471i 1.10930 + 1.10930i
\(932\) −1.71268 24.6630i −0.0561007 0.807862i
\(933\) −42.5048 + 5.18909i −1.39154 + 0.169883i
\(934\) −29.7400 27.7464i −0.973123 0.907889i
\(935\) −11.8232 + 25.4623i −0.386660 + 0.832705i
\(936\) 7.15100 + 3.35291i 0.233738 + 0.109593i
\(937\) −46.0881 −1.50563 −0.752817 0.658230i \(-0.771305\pi\)
−0.752817 + 0.658230i \(0.771305\pi\)
\(938\) −64.9021 60.5514i −2.11913 1.97707i
\(939\) 2.19121 + 17.9486i 0.0715074 + 0.585730i
\(940\) −8.10183 + 3.61819i −0.264253 + 0.118012i
\(941\) 30.3573 + 30.3573i 0.989619 + 0.989619i 0.999947 0.0103277i \(-0.00328746\pi\)
−0.0103277 + 0.999947i \(0.503287\pi\)
\(942\) 29.0850 39.9537i 0.947640 1.30176i
\(943\) 38.7400 1.26155
\(944\) 19.1566 + 14.4644i 0.623493 + 0.470777i
\(945\) 31.1101 + 35.8213i 1.01201 + 1.16527i
\(946\) 0.271647 + 7.83298i 0.00883201 + 0.254672i
\(947\) 12.0328 + 12.0328i 0.391012 + 0.391012i 0.875048 0.484036i \(-0.160830\pi\)
−0.484036 + 0.875048i \(0.660830\pi\)
\(948\) 32.8642 6.34817i 1.06738 0.206179i
\(949\) 5.06202 + 5.06202i 0.164320 + 0.164320i
\(950\) −34.9446 1.72657i −1.13375 0.0560174i
\(951\) −4.96990 3.88845i −0.161160 0.126092i
\(952\) 2.85056 + 27.3108i 0.0923872 + 0.885149i
\(953\) 0.810875i 0.0262668i 0.999914 + 0.0131334i \(0.00418062\pi\)
−0.999914 + 0.0131334i \(0.995819\pi\)
\(954\) −12.1185 6.74313i −0.392351 0.218317i
\(955\) −11.4275 31.2396i −0.369784 1.01089i
\(956\) −37.9203 + 2.63331i −1.22643 + 0.0851675i
\(957\) 20.1839 2.46411i 0.652454 0.0796533i
\(958\) 44.9178 1.55775i 1.45123 0.0503285i
\(959\) 66.0483 2.13281
\(960\) 24.0891 19.4863i 0.777472 0.628917i
\(961\) 30.9885 0.999629
\(962\) −1.48628 + 0.0515441i −0.0479196 + 0.00166185i
\(963\) −22.7983 + 37.8242i −0.734666 + 1.21887i
\(964\) −22.9239 + 1.59192i −0.738330 + 0.0512721i
\(965\) −11.7794 + 4.30892i −0.379192 + 0.138709i
\(966\) −45.8171 + 7.21294i −1.47414 + 0.232073i
\(967\) 3.61644i 0.116297i 0.998308 + 0.0581484i \(0.0185196\pi\)
−0.998308 + 0.0581484i \(0.981480\pi\)
\(968\) −4.95792 47.5011i −0.159353 1.52674i
\(969\) 12.5555 16.0474i 0.403340 0.515516i
\(970\) 1.71283 0.694768i 0.0549955 0.0223077i
\(971\) 13.6779 + 13.6779i 0.438946 + 0.438946i 0.891657 0.452711i \(-0.149543\pi\)
−0.452711 + 0.891657i \(0.649543\pi\)
\(972\) 19.5247 + 24.3061i 0.626254 + 0.779619i
\(973\) 52.4905 + 52.4905i 1.68277 + 1.68277i
\(974\) −0.104152 3.00322i −0.00333723 0.0962294i
\(975\) −0.301784 8.05524i −0.00966483 0.257974i
\(976\) −0.442358 + 0.585855i −0.0141595 + 0.0187528i
\(977\) 10.3013 0.329567 0.164784 0.986330i \(-0.447307\pi\)
0.164784 + 0.986330i \(0.447307\pi\)
\(978\) 14.1922 + 10.3314i 0.453816 + 0.330363i
\(979\) 24.9928 + 24.9928i 0.798774 + 0.798774i
\(980\) 17.6419 + 39.5037i 0.563550 + 1.26190i
\(981\) −23.6334 + 39.2096i −0.754556 + 1.25187i
\(982\) −23.8735 22.2731i −0.761834 0.710765i
\(983\) −5.71041 −0.182134 −0.0910668 0.995845i \(-0.529028\pi\)
−0.0910668 + 0.995845i \(0.529028\pi\)
\(984\) −9.15040 39.8919i −0.291704 1.27171i
\(985\) 12.4109 26.7280i 0.395445 0.851625i
\(986\) −5.46557 5.09919i −0.174059 0.162391i
\(987\) −1.70052 13.9292i −0.0541281 0.443372i
\(988\) −0.638107 9.18889i −0.0203009 0.292337i
\(989\) 3.44125 + 3.44125i 0.109425 + 0.109425i
\(990\) −7.83725 + 49.4799i −0.249084 + 1.57258i
\(991\) 30.7989i 0.978358i 0.872183 + 0.489179i \(0.162703\pi\)
−0.872183 + 0.489179i \(0.837297\pi\)
\(992\) −0.104564 0.597208i −0.00331990 0.0189614i
\(993\) 23.8737 + 18.6788i 0.757608 + 0.592753i
\(994\) 0.795906 0.0276020i 0.0252446 0.000875481i
\(995\) −7.31213 19.9894i −0.231810 0.633705i
\(996\) 19.0784 28.2135i 0.604523 0.893979i
\(997\) 13.0092 13.0092i 0.412005 0.412005i −0.470431 0.882437i \(-0.655902\pi\)
0.882437 + 0.470431i \(0.155902\pi\)
\(998\) 5.66581 + 5.28600i 0.179348 + 0.167325i
\(999\) −5.35802 2.39888i −0.169520 0.0758971i
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 240.2.t.b.59.1 80
3.2 odd 2 inner 240.2.t.b.59.39 yes 80
4.3 odd 2 960.2.t.b.719.19 80
5.4 even 2 inner 240.2.t.b.59.40 yes 80
12.11 even 2 960.2.t.b.719.39 80
15.14 odd 2 inner 240.2.t.b.59.2 yes 80
16.3 odd 4 inner 240.2.t.b.179.2 yes 80
16.13 even 4 960.2.t.b.239.2 80
20.19 odd 2 960.2.t.b.719.22 80
48.29 odd 4 960.2.t.b.239.22 80
48.35 even 4 inner 240.2.t.b.179.40 yes 80
60.59 even 2 960.2.t.b.719.2 80
80.19 odd 4 inner 240.2.t.b.179.39 yes 80
80.29 even 4 960.2.t.b.239.39 80
240.29 odd 4 960.2.t.b.239.19 80
240.179 even 4 inner 240.2.t.b.179.1 yes 80
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
240.2.t.b.59.1 80 1.1 even 1 trivial
240.2.t.b.59.2 yes 80 15.14 odd 2 inner
240.2.t.b.59.39 yes 80 3.2 odd 2 inner
240.2.t.b.59.40 yes 80 5.4 even 2 inner
240.2.t.b.179.1 yes 80 240.179 even 4 inner
240.2.t.b.179.2 yes 80 16.3 odd 4 inner
240.2.t.b.179.39 yes 80 80.19 odd 4 inner
240.2.t.b.179.40 yes 80 48.35 even 4 inner
960.2.t.b.239.2 80 16.13 even 4
960.2.t.b.239.19 80 240.29 odd 4
960.2.t.b.239.22 80 48.29 odd 4
960.2.t.b.239.39 80 80.29 even 4
960.2.t.b.719.2 80 60.59 even 2
960.2.t.b.719.19 80 4.3 odd 2
960.2.t.b.719.22 80 20.19 odd 2
960.2.t.b.719.39 80 12.11 even 2