LMFDB - Embedded newform 504.2.w.a.205.14

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(205,504)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(504, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 4, 2]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("504.205");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.w (of order $6$, 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:	$4.02446026187$
Analytic rank:	$0$
Dimension:	$184$
Relative dimension:	$92$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			205.14
Character	$\chi$	$=$	504.205
Dual form			504.2.w.a.445.14

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.28512 - 0.590314i) q^{2} +(-1.73078 - 0.0662226i) q^{3} +(1.30306 + 1.51725i) q^{4} -2.85273i q^{5} +(2.18517 + 1.10681i) q^{6} +(-0.733697 + 2.54199i) q^{7} +(-0.778934 - 2.71906i) q^{8} +(2.99123 + 0.229234i) q^{9} +O(q^{10})$	\(q+(-1.28512 - 0.590314i) q^{2} +(-1.73078 - 0.0662226i) q^{3} +(1.30306 + 1.51725i) q^{4} -2.85273i q^{5} +(2.18517 + 1.10681i) q^{6} +(-0.733697 + 2.54199i) q^{7} +(-0.778934 - 2.71906i) q^{8} +(2.99123 + 0.229234i) q^{9} +(-1.68401 + 3.66610i) q^{10} -0.483657i q^{11} +(-2.15484 - 2.71232i) q^{12} +(3.44766 - 1.99051i) q^{13} +(2.44346 - 2.83364i) q^{14} +(-0.188915 + 4.93746i) q^{15} +(-0.604074 + 3.95412i) q^{16} +(-0.112464 - 0.194794i) q^{17} +(-3.70876 - 2.06036i) q^{18} +(-1.61929 - 0.934898i) q^{19} +(4.32830 - 3.71728i) q^{20} +(1.43821 - 4.35104i) q^{21} +(-0.285509 + 0.621556i) q^{22} +0.964130 q^{23} +(1.16810 + 4.75768i) q^{24} -3.13808 q^{25} +(-5.60567 + 0.522836i) q^{26} +(-5.16199 - 0.594842i) q^{27} +(-4.81287 + 2.19916i) q^{28} +(-0.238002 - 0.137411i) q^{29} +(3.15743 - 6.23371i) q^{30} +(2.74770 - 4.75916i) q^{31} +(3.11048 - 4.72492i) q^{32} +(-0.0320290 + 0.837105i) q^{33} +(0.0295405 + 0.316723i) q^{34} +(7.25160 + 2.09304i) q^{35} +(3.54994 + 4.83714i) q^{36} +(-5.57924 - 3.22118i) q^{37} +(1.52910 + 2.15734i) q^{38} +(-6.09897 + 3.21682i) q^{39} +(-7.75674 + 2.22209i) q^{40} +(-4.48794 - 7.77334i) q^{41} +(-4.41675 + 4.74261i) q^{42} +(-7.02678 - 4.05691i) q^{43} +(0.733826 - 0.630233i) q^{44} +(0.653943 - 8.53317i) q^{45} +(-1.23902 - 0.569140i) q^{46} +(-5.91476 - 10.2447i) q^{47} +(1.30737 - 6.80373i) q^{48} +(-5.92338 - 3.73010i) q^{49} +(4.03280 + 1.85245i) q^{50} +(0.181752 + 0.344594i) q^{51} +(7.51259 + 2.63720i) q^{52} +(-5.22441 + 3.01631i) q^{53} +(6.28263 + 3.81164i) q^{54} -1.37974 q^{55} +(7.48330 + 0.0149256i) q^{56} +(2.74073 + 1.72534i) q^{57} +(0.224745 + 0.317085i) q^{58} +(8.81599 + 5.08991i) q^{59} +(-7.73752 + 6.14718i) q^{60} +(7.47832 - 4.31761i) q^{61} +(-6.34052 + 4.49408i) q^{62} +(-2.77737 + 7.43547i) q^{63} +(-6.78652 + 4.23593i) q^{64} +(-5.67838 - 9.83524i) q^{65} +(0.535316 - 1.05687i) q^{66} +(-6.56206 - 3.78861i) q^{67} +(0.149003 - 0.424464i) q^{68} +(-1.66870 - 0.0638472i) q^{69} +(-8.08362 - 6.97053i) q^{70} +7.03723 q^{71} +(-1.70667 - 8.31188i) q^{72} +(-2.35461 - 4.07831i) q^{73} +(5.26848 + 7.43310i) q^{74} +(5.43134 + 0.207812i) q^{75} +(-0.691561 - 3.67509i) q^{76} +(1.22945 + 0.354858i) q^{77} +(9.73683 - 0.533695i) q^{78} +(6.48778 + 11.2372i) q^{79} +(11.2801 + 1.72326i) q^{80} +(8.89490 + 1.37138i) q^{81} +(1.17882 + 12.6390i) q^{82} +(-14.8542 - 8.57606i) q^{83} +(8.47567 - 3.48755i) q^{84} +(-0.555695 + 0.320831i) q^{85} +(6.63539 + 9.36161i) q^{86} +(0.402831 + 0.253589i) q^{87} +(-1.31509 + 0.376736i) q^{88} +(-0.0916008 + 0.158657i) q^{89} +(-5.87765 + 10.5801i) q^{90} +(2.53030 + 10.2243i) q^{91} +(1.25632 + 1.46282i) q^{92} +(-5.07085 + 8.05512i) q^{93} +(1.55360 + 16.6572i) q^{94} +(-2.66701 + 4.61940i) q^{95} +(-5.69647 + 7.97184i) q^{96} +(-1.76540 + 3.05776i) q^{97} +(5.41031 + 8.29027i) q^{98} +(0.110871 - 1.44673i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) $ 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	$ 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} - 17 q^{12} - 7 q^{14} - 2 q^{15} + q^{16} - 4 q^{17} + 13 q^{18} + 6 q^{20} + 2 q^{22} - 4 q^{23} + 12 q^{24} - 156 q^{25} - 4 q^{26} - 8 q^{28} - 18 q^{30} + 2 q^{31} + q^{32} + 22 q^{33} - 18 q^{36} + 10 q^{38} - 14 q^{39} + 8 q^{40} - 4 q^{41} + 3 q^{42} + 17 q^{44} - 6 q^{46} + 42 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} - 18 q^{52} - 58 q^{54} + 4 q^{55} - 34 q^{56} - 20 q^{57} - 10 q^{58} + 26 q^{60} + 32 q^{62} + 50 q^{63} - 8 q^{64} + 22 q^{65} + 79 q^{66} + 24 q^{68} + 8 q^{70} - 16 q^{71} - 27 q^{72} - 4 q^{73} - 38 q^{74} - 6 q^{76} - 47 q^{78} + 2 q^{79} - 11 q^{80} + 6 q^{81} + q^{84} + 46 q^{86} + 4 q^{87} + 14 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} + 9 q^{94} + 22 q^{95} - 16 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) $ 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 - 17 * q^12 - 7 * q^14 - 2 * q^15 + q^16 - 4 * q^17 + 13 * q^18 + 6 * q^20 + 2 * q^22 - 4 * q^23 + 12 * q^24 - 156 * q^25 - 4 * q^26 - 8 * q^28 - 18 * q^30 + 2 * q^31 + q^32 + 22 * q^33 - 18 * q^36 + 10 * q^38 - 14 * q^39 + 8 * q^40 - 4 * q^41 + 3 * q^42 + 17 * q^44 - 6 * q^46 + 42 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 - 18 * q^52 - 58 * q^54 + 4 * q^55 - 34 * q^56 - 20 * q^57 - 10 * q^58 + 26 * q^60 + 32 * q^62 + 50 * q^63 - 8 * q^64 + 22 * q^65 + 79 * q^66 + 24 * q^68 + 8 * q^70 - 16 * q^71 - 27 * q^72 - 4 * q^73 - 38 * q^74 - 6 * q^76 - 47 * q^78 + 2 * q^79 - 11 * q^80 + 6 * q^81 + q^84 + 46 * q^86 + 4 * q^87 + 14 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 + 9 * q^94 + 22 * q^95 - 16 * q^96 - 4 * q^97 - 83 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/504\mathbb{Z}\right)^\times$.

$n$	$73$	$127$	$253$	$281$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$1$	$-1$	$e\left(\frac{2}{3}\right)$

Coefficient data

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

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.28512	−	0.590314i	−0.908716	−	0.417415i
$2$	−1.28512	−	0.590314i	−0.908716	−	0.417415i
$3$	−1.73078	−	0.0662226i	−0.999269	−	0.0382336i
$3$	−1.73078	−	0.0662226i	−0.999269	−	0.0382336i
$4$	1.30306	+	1.51725i	0.651530	+	0.758623i
$5$		−	2.85273i		−	1.27578i	−0.770127	−	0.637890i	$-0.779807\pi$
$5$		−	2.85273i		−	1.27578i	0.770127	−	0.637890i	$-0.220193\pi$
$6$	2.18517	+	1.10681i	0.892092	+	0.451853i
$7$	−0.733697	+	2.54199i	−0.277312	+	0.960780i
$7$	−0.733697	+	2.54199i	−0.277312	+	0.960780i
$8$	−0.778934	−	2.71906i	−0.275395	−	0.961331i
$9$	2.99123	+	0.229234i	0.997076	+	0.0764114i
$10$	−1.68401	+	3.66610i	−0.532530	+	1.15932i
$11$		−	0.483657i		−	0.145828i	−0.997338	−	0.0729140i	$-0.976770\pi$
$11$		−	0.483657i		−	0.145828i	0.997338	−	0.0729140i	$-0.0232299\pi$
$12$	−2.15484	−	2.71232i	−0.622048	−	0.782979i
$13$	3.44766	−	1.99051i	0.956208	−	0.552067i	0.0612043	−	0.998125i	$-0.480506\pi$
$13$	3.44766	−	1.99051i	0.956208	−	0.552067i	0.895004	+	0.446058i	$0.147173\pi$
$14$	2.44346	−	2.83364i	0.653041	−	0.757322i
$15$	−0.188915	+	4.93746i	−0.0487777	+	1.27485i
$16$	−0.604074	+	3.95412i	−0.151018	+	0.988531i
$17$	−0.112464	−	0.194794i	−0.0272766	−	0.0472445i	0.852065	−	0.523436i	$-0.175350\pi$
$17$	−0.112464	−	0.194794i	−0.0272766	−	0.0472445i	−0.879341	+	0.476192i	$0.842017\pi$
$18$	−3.70876	−	2.06036i	−0.874164	−	0.485631i
$19$	−1.61929	−	0.934898i	−0.371491	−	0.214480i	0.302619	−	0.953112i	$-0.402139\pi$
$19$	−1.61929	−	0.934898i	−0.371491	−	0.214480i	−0.674110	+	0.738631i	$0.735472\pi$
$20$	4.32830	−	3.71728i	0.967837	−	0.831209i
$21$	1.43821	−	4.35104i	0.313843	−	0.949475i
$22$	−0.285509	+	0.621556i	−0.0608708	+	0.132516i
$23$	0.964130			0.201035			0.100518	−	0.994935i	$-0.467950\pi$
$23$	0.964130			0.201035			0.100518	+	0.994935i	$0.467950\pi$
$24$	1.16810	+	4.75768i	0.238438	+	0.971158i
$25$	−3.13808			−0.627616
$26$	−5.60567	+	0.522836i	−1.09936	+	0.102537i
$27$	−5.16199	−	0.594842i	−0.993426	−	0.114477i
$28$	−4.81287	+	2.19916i	−0.909547	+	0.415602i
$29$	−0.238002	−	0.137411i	−0.0441959	−	0.0255165i	0.477739	−	0.878502i	$-0.341456\pi$
$29$	−0.238002	−	0.137411i	−0.0441959	−	0.0255165i	−0.521935	+	0.852985i	$0.674790\pi$
$30$	3.15743	−	6.23371i	0.576466	−	1.13811i
$31$	2.74770	−	4.75916i	0.493502	−	0.854771i	−0.506470	−	0.862258i	$-0.669050\pi$
$31$	2.74770	−	4.75916i	0.493502	−	0.854771i	0.999972	+	0.00748699i	$0.00238321\pi$
$32$	3.11048	−	4.72492i	0.549860	−	0.835257i
$33$	−0.0320290	+	0.837105i	−0.00557553	+	0.145721i
$34$	0.0295405	+	0.316723i	0.00506615	+	0.0543175i
$35$	7.25160	+	2.09304i	1.22574	+	0.353789i
$36$	3.54994	+	4.83714i	0.591657	+	0.806190i
$37$	−5.57924	−	3.22118i	−0.917222	−	0.529558i	−0.0344740	−	0.999406i	$-0.510976\pi$
$37$	−5.57924	−	3.22118i	−0.917222	−	0.529558i	−0.882748	+	0.469847i	$0.844309\pi$
$38$	1.52910	+	2.15734i	0.248052	+	0.349968i
$39$	−6.09897	+	3.21682i	−0.976617	+	0.515104i
$40$	−7.75674	+	2.22209i	−1.22645	+	0.351343i
$41$	−4.48794	−	7.77334i	−0.700898	−	1.21399i	−0.968152	−	0.250365i	$-0.919449\pi$
$41$	−4.48794	−	7.77334i	−0.700898	−	1.21399i	0.267253	−	0.963626i	$-0.413884\pi$
$42$	−4.41675	+	4.74261i	−0.681519	+	0.731800i
$43$	−7.02678	−	4.05691i	−1.07157	−	0.618673i	−0.142962	−	0.989728i	$-0.545663\pi$
$43$	−7.02678	−	4.05691i	−1.07157	−	0.618673i	−0.928611	+	0.371055i	$0.878996\pi$
$44$	0.733826	−	0.630233i	0.110628	−	0.0950112i
$45$	0.653943	−	8.53317i	0.0974841	−	1.27205i
$46$	−1.23902	−	0.569140i	−0.182684	−	0.0839151i
$47$	−5.91476	−	10.2447i	−0.862757	−	1.49434i	−0.869257	−	0.494360i	$-0.835403\pi$
$47$	−5.91476	−	10.2447i	−0.862757	−	1.49434i	0.00650073	−	0.999979i	$-0.497931\pi$
$48$	1.30737	−	6.80373i	0.188703	−	0.982034i
$49$	−5.92338	−	3.73010i	−0.846197	−	0.532871i
$50$	4.03280	+	1.85245i	0.570324	+	0.261976i
$51$	0.181752	+	0.344594i	0.0254504	+	0.0482529i
$52$	7.51259	+	2.63720i	1.04181	+	0.365714i
$53$	−5.22441	+	3.01631i	−0.717628	+	0.414323i	−0.813879	−	0.581034i	$-0.802648\pi$
$53$	−5.22441	+	3.01631i	−0.717628	+	0.414323i	0.0962511	+	0.995357i	$0.469315\pi$
$54$	6.28263	+	3.81164i	0.854957	+	0.518698i
$55$	−1.37974			−0.186044
$56$	7.48330	+	0.0149256i	0.999998	+	0.00199451i
$57$	2.74073	+	1.72534i	0.363019	+	0.228527i
$58$	0.224745	+	0.317085i	0.0295105	+	0.0416353i
$59$	8.81599	+	5.08991i	1.14774	+	0.662650i	0.948336	−	0.317266i	$-0.102765\pi$
$59$	8.81599	+	5.08991i	1.14774	+	0.662650i	0.199407	+	0.979917i	$0.436098\pi$
$60$	−7.73752	+	6.14718i	−0.998909	+	0.793597i
$61$	7.47832	−	4.31761i	0.957501	−	0.552813i	0.0620977	−	0.998070i	$-0.480221\pi$
$61$	7.47832	−	4.31761i	0.957501	−	0.552813i	0.895403	+	0.445257i	$0.146888\pi$
$62$	−6.34052	+	4.49408i	−0.805247	+	0.570749i
$63$	−2.77737	+	7.43547i	−0.349915	+	0.936781i
$64$	−6.78652	+	4.23593i	−0.848316	+	0.529491i
$65$	−5.67838	−	9.83524i	−0.704316	−	1.21991i
$66$	0.535316	−	1.05687i	0.0658928	−	0.130092i
$67$	−6.56206	−	3.78861i	−0.801684	−	0.462852i	0.0423758	−	0.999102i	$-0.486507\pi$
$67$	−6.56206	−	3.78861i	−0.801684	−	0.462852i	−0.844060	+	0.536249i	$0.819841\pi$
$68$	0.149003	−	0.424464i	0.0180693	−	0.0514739i
$69$	−1.66870	−	0.0638472i	−0.200888	−	0.00768630i
$70$	−8.08362	−	6.97053i	−0.966177	−	0.833137i
$71$	7.03723			0.835165			0.417583	−	0.908639i	$-0.362877\pi$
$71$	7.03723			0.835165			0.417583	+	0.908639i	$0.362877\pi$
$72$	−1.70667	−	8.31188i	−0.201133	−	0.979564i
$73$	−2.35461	−	4.07831i	−0.275587	−	0.477330i	0.694696	−	0.719303i	$-0.255539\pi$
$73$	−2.35461	−	4.07831i	−0.275587	−	0.477330i	−0.970283	+	0.241973i	$0.922205\pi$
$74$	5.26848	+	7.43310i	0.612448	+	0.864080i
$75$	5.43134	+	0.207812i	0.627157	+	0.0239960i
$76$	−0.691561	−	3.67509i	−0.0793275	−	0.421562i
$77$	1.22945	+	0.354858i	0.140109	+	0.0404398i
$78$	9.73683	−	0.533695i	1.10248	−	0.0604290i
$79$	6.48778	+	11.2372i	0.729932	+	1.26428i	0.956912	+	0.290379i	$0.0937815\pi$
$79$	6.48778	+	11.2372i	0.729932	+	1.26428i	−0.226980	+	0.973899i	$0.572885\pi$
$80$	11.2801	+	1.72326i	1.26115	+	0.192666i
$81$	8.89490	+	1.37138i	0.988323	+	0.152376i
$82$	1.17882	+	12.6390i	0.130179	+	1.39574i
$83$	−14.8542	−	8.57606i	−1.63046	−	0.941345i	−0.983952	−	0.178435i	$-0.942897\pi$
$83$	−14.8542	−	8.57606i	−1.63046	−	0.941345i	−0.646505	−	0.762910i	$-0.723770\pi$
$84$	8.47567	−	3.48755i	0.924772	−	0.380522i
$85$	−0.555695	+	0.320831i	−0.0602736	+	0.0347990i
$86$	6.63539	+	9.36161i	0.715512	+	1.00949i
$87$	0.402831	+	0.253589i	0.0431880	+	0.0271876i
$88$	−1.31509	+	0.376736i	−0.140189	+	0.0401602i
$89$	−0.0916008	+	0.158657i	−0.00970966	+	0.0168176i	−0.870839	−	0.491568i	$-0.836424\pi$
$89$	−0.0916008	+	0.158657i	−0.00970966	+	0.0168176i	0.861130	+	0.508385i	$0.169757\pi$
$90$	−5.87765	+	10.5801i	−0.619558	+	1.11524i
$91$	2.53030	+	10.2243i	0.265247	+	1.07180i
$92$	1.25632	+	1.46282i	0.130980	+	0.152510i
$93$	−5.07085	+	8.05512i	−0.525822	+	0.835277i
$94$	1.55360	+	16.6572i	0.160242	+	1.71806i
$95$	−2.66701	+	4.61940i	−0.273630	+	0.473941i
$96$	−5.69647	+	7.97184i	−0.581393	+	0.813623i
$97$	−1.76540	+	3.05776i	−0.179249	+	0.310469i	−0.941624	−	0.336668i	$-0.890700\pi$
$97$	−1.76540	+	3.05776i	−0.179249	+	0.310469i	0.762374	+	0.647136i	$0.224033\pi$
$98$	5.41031	+	8.29027i	0.546524	+	0.837443i
$99$	0.110871	−	1.44673i	0.0111429	−	0.145402i
$100$	−4.08910	−	4.76124i	−0.408910	−	0.476124i
$101$			12.3000i			1.22389i	0.790900	+	0.611946i	$0.209613\pi$
$101$			12.3000i			1.22389i	−0.790900	+	0.611946i	$0.790387\pi$
$102$	−0.0301540	−	0.550135i	−0.00298569	−	0.0544715i
$103$	18.3859			1.81162			0.905810	−	0.423683i	$-0.139263\pi$
$103$	18.3859			1.81162			0.905810	+	0.423683i	$0.139263\pi$
$104$	−8.09779	−	7.82390i	−0.794054	−	0.767197i
$105$	−12.4124	−	4.10282i	−1.21132	−	0.400395i
$106$	8.49456	−	0.792280i	0.825064	−	0.0769530i
$107$	8.40754	+	4.85410i	0.812788	+	0.469263i	0.847923	−	0.530119i	$-0.177853\pi$
$107$	8.40754	+	4.85410i	0.812788	+	0.469263i	−0.0351354	+	0.999383i	$0.511186\pi$
$108$	−5.82386	−	8.60713i	−0.560401	−	0.828221i
$109$	10.5247	−	6.07642i	1.00808	−	0.582015i	0.0974510	−	0.995240i	$-0.468931\pi$
$109$	10.5247	−	6.07642i	1.00808	−	0.582015i	0.910629	+	0.413225i	$0.135598\pi$
$110$	1.77313	+	0.814481i	0.169062	+	0.0776577i
$111$	9.44315	+	5.94463i	0.896304	+	0.564240i
$112$	−9.60812	−	4.43668i	−0.907882	−	0.419227i
$113$	−5.88371	−	10.1909i	−0.553493	−	0.958678i	−0.998019	−	0.0629122i	$-0.979961\pi$
$113$	−5.88371	−	10.1909i	−0.553493	−	0.958678i	0.444526	−	0.895766i	$-0.353372\pi$
$114$	−2.50367	−	3.83516i	−0.234490	−	0.359196i
$115$		−	2.75041i		−	0.256477i
$116$	−0.101645	−	0.540162i	−0.00943751	−	0.0501528i
$117$	10.7690	−	5.16374i	0.995597	−	0.477388i
$118$	−8.32494	−	11.7453i	−0.766373	−	1.08125i
$119$	0.577679	−	0.142963i	0.0529557	−	0.0131054i
$120$	13.5724	−	3.33229i	1.23898	−	0.304195i
$121$	10.7661			0.978734
$122$	−12.1593	+	1.13408i	−1.10085	+	0.102675i
$123$	7.25288	+	13.7512i	0.653970	+	1.23990i
$124$	10.8012	−	2.03253i	0.969980	−	0.182526i
$125$		−	5.31156i		−	0.475081i
$126$	7.95851	−	7.91594i	0.709000	−	0.705208i
$127$	5.49723			0.487800			0.243900	−	0.969800i	$-0.421573\pi$
$127$	5.49723			0.487800			0.243900	+	0.969800i	$0.421573\pi$
$128$	11.2220	−	1.43749i	0.991895	−	0.127057i
$129$	11.8932	+	7.48697i	1.04714	+	0.659191i
$130$	1.49151	+	15.9915i	0.130814	+	1.40255i
$131$		−	20.0995i		−	1.75610i	−0.478571	−	0.878049i	$-0.658845\pi$
$131$		−	20.0995i		−	1.75610i	0.478571	−	0.878049i	$-0.341155\pi$
$132$	−1.31183	+	1.04220i	−0.114180	+	0.0907120i
$133$	3.56457	−	3.43028i	0.309087	−	0.297443i
$134$	6.19656	+	8.74249i	0.535301	+	0.755236i
$135$	−1.69692	+	14.7258i	−0.146048	+	1.26739i
$136$	−0.442054	+	0.457529i	−0.0379058	+	0.0392328i
$137$	−10.4286			−0.890975			−0.445487	−	0.895288i	$-0.646970\pi$
$137$	−10.4286			−0.890975			−0.445487	+	0.895288i	$0.646970\pi$
$138$	2.10679	+	1.06711i	0.179342	+	0.0908384i
$139$	−2.86603	+	1.65470i	−0.243093	+	0.140350i	−0.616598	−	0.787278i	$-0.711489\pi$
$139$	−2.86603	+	1.65470i	−0.243093	+	0.140350i	0.373504	+	0.927628i	$0.378156\pi$
$140$	6.27361	+	13.7298i	0.530216	+	1.16038i
$141$	9.55875	+	18.1230i	0.804992	+	1.52623i
$142$	−9.04367	−	4.15417i	−0.758928	−	0.348610i
$143$	−0.962722	−	1.66748i	−0.0805068	−	0.139442i
$144$	−2.71334	+	11.6892i	−0.226112	+	0.974101i
$145$	−0.391995	+	0.678956i	−0.0325534	+	0.0563842i
$146$	0.618475	+	6.63108i	0.0511853	+	0.548792i
$147$	10.0051	+	6.84825i	0.825204	+	0.564834i
$148$	−2.38276	−	12.6625i	−0.195862	−	1.04085i
$149$		−	1.39273i		−	0.114097i	−0.998371	−	0.0570483i	$-0.981831\pi$
$149$		−	1.39273i		−	0.114097i	0.998371	−	0.0570483i	$-0.0181689\pi$
$150$	−6.85724	−	3.47326i	−0.559891	−	0.283590i
$151$	−17.3730			−1.41380			−0.706899	−	0.707315i	$-0.749906\pi$
$151$	−17.3730			−1.41380			−0.706899	+	0.707315i	$0.749906\pi$
$152$	−1.28072	+	5.13117i	−0.103880	+	0.416193i
$153$	−0.291753	−	0.608454i	−0.0235869	−	0.0491906i
$154$	−1.37051	−	1.18179i	−0.110439	−	0.0952317i
$155$	−13.5766	−	7.83846i	−1.09050	−	0.629600i
$156$	−12.8280	−	5.06193i	−1.02706	−	0.405279i
$157$	21.1305	+	12.1997i	1.68640	+	0.973644i	0.957237	+	0.289305i	$0.0934242\pi$
$157$	21.1305	+	12.1997i	1.68640	+	0.973644i	0.729164	+	0.684339i	$0.239909\pi$
$158$	−1.70411	−	18.2709i	−0.135572	−	1.45355i
$159$	9.24207	−	4.87462i	0.732944	−	0.386582i
$160$	−13.4789	−	8.87337i	−1.06560	−	0.701501i
$161$	−0.707380	+	2.45081i	−0.0557494	+	0.193151i
$162$	−10.6215	−	7.01317i	−0.834501	−	0.551007i
$163$	−10.8021	−	6.23659i	−0.846084	−	0.488487i	0.0132434	−	0.999912i	$-0.495784\pi$
$163$	−10.8021	−	6.23659i	−0.846084	−	0.488487i	−0.859328	+	0.511425i	$0.829118\pi$
$164$	5.94602	−	16.9384i	0.464306	−	1.32267i
$165$	2.38804	+	0.0913701i	0.185908	+	0.00711316i
$166$	14.0268	+	19.7899i	1.08869	+	1.53599i
$167$	5.73963	+	9.94133i	0.444146	+	0.769283i	0.997992	−	0.0633355i	$-0.0201738\pi$
$167$	5.73963	+	9.94133i	0.444146	+	0.769283i	−0.553846	+	0.832619i	$0.686840\pi$
$168$	−12.9510	−	0.521397i	−0.999191	−	0.0402266i
$169$	1.42423	−	2.46684i	0.109556	−	0.189757i
$170$	0.903525	−	0.0842710i	0.0692972	−	0.00646329i
$171$	−4.62936	−	3.16769i	−0.354016	−	0.242239i
$172$	−3.00097	−	15.9477i	−0.228822	−	1.21600i
$173$	−0.0529392	+	0.0305645i	−0.00402490	+	0.00232377i	−0.502011	−	0.864861i	$-0.667406\pi$
$173$	−0.0529392	+	0.0305645i	−0.00402490	+	0.00232377i	0.497986	+	0.867185i	$0.334073\pi$
$174$	−0.367988	−	0.563689i	−0.0278971	−	0.0427331i
$175$	2.30240	−	7.97695i	0.174045	−	0.603001i
$176$	1.91244	+	0.292164i	0.144155	+	0.0220227i
$177$	−14.9215	−	9.39336i	−1.12157	−	0.706048i
$178$	0.211375	−	0.149820i	0.0158433	−	0.0112295i
$179$	−9.87799	+	5.70306i	−0.738315	+	0.426267i	−0.821457	−	0.570271i	$-0.806838\pi$
$179$	−9.87799	+	5.70306i	−0.738315	+	0.426267i	0.0831411	+	0.996538i	$0.473505\pi$
$180$	13.7991	−	10.1270i	1.02852	−	0.754825i
$181$			8.61937i			0.640673i	0.947304	+	0.320336i	$0.103796\pi$
$181$			8.61937i			0.640673i	−0.947304	+	0.320336i	$0.896204\pi$
$182$	2.78383	−	14.6331i	0.206351	−	1.08468i
$183$	−13.2293	+	6.97762i	−0.977937	+	0.515800i
$184$	−0.750994	−	2.62152i	−0.0553640	−	0.193261i
$185$	−9.18915	+	15.9161i	−0.675600	+	1.17017i
$186$	11.2717	−	7.35840i	0.826480	−	0.539544i
$187$	−0.0942135	+	0.0543942i	−0.00688957	+	0.00397770i
$188$	7.83640	−	22.3236i	0.571528	−	1.62811i
$189$	5.29942	−	12.6853i	0.385476	−	0.922718i
$190$	6.15433	−	4.36211i	0.446482	−	0.316460i
$191$	−1.87808	−	3.25293i	−0.135893	−	0.235374i	0.790045	−	0.613049i	$-0.210057\pi$
$191$	−1.87808	−	3.25293i	−0.135893	−	0.235374i	−0.925938	+	0.377675i	$0.876724\pi$
$192$	12.0265	−	6.88206i	0.867940	−	0.496670i
$193$	−3.20906	+	5.55826i	−0.230993	+	0.400092i	−0.958101	−	0.286432i	$-0.907531\pi$
$193$	−3.20906	+	5.55826i	−0.230993	+	0.400092i	0.727107	+	0.686524i	$0.240864\pi$
$194$	4.07379	−	2.88745i	0.292481	−	0.207307i
$195$	9.17674	+	17.3987i	0.657160	+	1.24595i
$196$	−2.05904	−	13.8478i	−0.147074	−	0.989125i
$197$			21.1350i			1.50580i	0.658132	+	0.752902i	$0.271347\pi$
$197$			21.1350i			1.50580i	−0.658132	+	0.752902i	$0.728653\pi$
$198$	−0.996505	+	1.79377i	−0.0708185	+	0.127478i
$199$	−12.9105	−	22.3616i	−0.915200	−	1.58517i	−0.806609	−	0.591086i	$-0.798700\pi$
$199$	−12.9105	−	22.3616i	−0.915200	−	1.58517i	−0.108591	−	0.994087i	$-0.534634\pi$
$200$	2.44436	+	8.53261i	0.172842	+	0.603347i
$201$	11.1066	+	6.99182i	0.783401	+	0.493165i
$202$	7.26083	−	15.8069i	0.510871	−	1.11217i
$203$	0.523917	−	0.504180i	0.0367718	−	0.0353865i
$204$	−0.286001	+	0.724789i	−0.0200241	+	0.0507454i
$205$	−22.1752	+	12.8029i	−1.54879	+	0.894192i
$206$	−23.6281	−	10.8535i	−1.64625	−	0.756198i
$207$	2.88394	+	0.221012i	0.200447	+	0.0153614i
$208$	5.78807	+	14.8349i	0.401330	+	1.02861i
$209$	−0.452170	+	0.783181i	−0.0312772	+	0.0541738i
$210$	13.5294	+	12.5998i	0.933617	+	0.869469i
$211$	−2.72195	+	1.57152i	−0.187387	+	0.108188i	−0.590759	−	0.806848i	$-0.701171\pi$
$211$	−2.72195	+	1.57152i	−0.187387	+	0.108188i	0.403372	+	0.915036i	$0.367838\pi$
$212$	−11.3842	−	3.99628i	−0.781870	−	0.274466i
$213$	−12.1799	−	0.466023i	−0.834554	−	0.0319314i
$214$	−7.93925	−	11.2012i	−0.542716	−	0.765697i
$215$	−11.5733	+	20.0455i	−0.789291	+	1.36709i
$216$	2.40344	+	14.4991i	0.163534	+	0.986538i
$217$	10.0817	+	10.4764i	0.684393	+	0.711185i
$218$	−17.1124	+	1.59606i	−1.15900	+	0.108099i
$219$	3.80525	+	7.21461i	0.257135	+	0.487518i
$220$	−1.79789	−	2.09341i	−0.121213	−	0.141138i
$221$	−0.775478	−	0.447722i	−0.0521643	−	0.0301171i
$222$	−8.62637	−	13.2140i	−0.578964	−	0.886864i
$223$	8.36505	−	14.4887i	0.560165	−	0.970235i	−0.437316	−	0.899308i	$-0.644071\pi$
$223$	8.36505	−	14.4887i	0.560165	−	0.970235i	0.997482	−	0.0709268i	$-0.0225957\pi$
$224$	9.72854	+	11.3735i	0.650015	+	0.759921i
$225$	−9.38671	−	0.719355i	−0.625781	−	0.0479570i
$226$	1.54544	+	16.5697i	0.102801	+	1.10220i
$227$			15.5000i			1.02877i	0.857558	+	0.514387i	$0.171980\pi$
$227$			15.5000i			1.02877i	−0.857558	+	0.514387i	$0.828020\pi$
$228$	0.953569	+	6.40659i	0.0631517	+	0.424287i
$229$		−	14.3891i		−	0.950857i	−0.879754	−	0.475428i	$-0.842293\pi$
$229$		−	14.3891i		−	0.950857i	0.879754	−	0.475428i	$-0.157707\pi$
$230$	−1.62360	+	3.53460i	−0.107057	+	0.233064i
$231$	−2.10441	−	0.695599i	−0.138460	−	0.0457671i
$232$	−0.188239	+	0.754174i	−0.0123585	+	0.0495140i
$233$	11.2982	−	19.5691i	0.740172	−	1.28202i	−0.212245	−	0.977217i	$-0.568077\pi$
$233$	11.2982	−	19.5691i	0.740172	−	1.28202i	0.952417	−	0.304799i	$-0.0985892\pi$
$234$	−16.8877	+	0.278912i	−1.10398	+	0.0182330i
$235$	−29.2253	+	16.8732i	−1.90645	+	1.10069i
$236$	3.76510	+	20.0085i	0.245087	+	1.30244i
$237$	−10.4848	−	19.8787i	−0.681060	−	1.29126i
$238$	−0.826778	−	0.157287i	−0.0535921	−	0.0101954i
$239$	−5.38937	−	9.33467i	−0.348610	−	0.603809i	0.637393	−	0.770539i	$-0.280013\pi$
$239$	−5.38937	−	9.33467i	−0.348610	−	0.603809i	−0.986003	+	0.166729i	$0.946679\pi$
$240$	−19.4092	−	3.72959i	−1.25286	−	0.240744i
$241$	21.5954			1.39108			0.695542	−	0.718485i	$-0.255164\pi$
$241$	21.5954			1.39108			0.695542	+	0.718485i	$0.255164\pi$
$242$	−13.8357	−	6.35536i	−0.889391	−	0.408538i
$243$	−15.3043	−	2.96261i	−0.981774	−	0.190052i
$244$	16.2956	+	5.72035i	1.04322	+	0.366208i
$245$	−10.6410	+	16.8978i	−0.679826	+	1.07956i
$246$	−1.20331	−	21.9534i	−0.0767200	−	1.39970i
$247$	−7.44368			−0.473630
$248$	−15.0807	−	3.76409i	−0.957626	−	0.239020i
$249$	25.1414	+	15.8270i	1.59327	+	1.00299i
$250$	−3.13549	+	6.82599i	−0.198306	+	0.431713i
$251$		−	3.26401i		−	0.206022i	−0.994680	−	0.103011i	$-0.967152\pi$
$251$		−	3.26401i		−	0.206022i	0.994680	−	0.103011i	$-0.0328478\pi$
$252$	−14.9005	+	5.47491i	−0.938644	+	0.344887i
$253$		−	0.466308i		−	0.0293165i
$254$	−7.06459	−	3.24509i	−0.443272	−	0.203615i
$255$	0.983035	−	0.518489i	0.0615600	−	0.0324691i
$256$	−15.2702	−	4.77716i	−0.954387	−	0.298573i
$257$	−12.3451			−0.770064			−0.385032	−	0.922903i	$-0.625810\pi$
$257$	−12.3451			−0.770064			−0.385032	+	0.922903i	$0.625810\pi$
$258$	−10.8645	−	16.6423i	−0.676393	−	1.03611i
$259$	12.2817	−	11.8190i	0.763145	−	0.734396i
$260$	7.52322	−	21.4314i	0.466571	−	1.32912i
$261$	−0.680419	−	0.465585i	−0.0421169	−	0.0288190i
$262$	−11.8650	+	25.8302i	−0.733021	+	1.59579i
$263$	28.6259			1.76515			0.882575	−	0.470171i	$-0.155808\pi$
$263$	28.6259			1.76515			0.882575	+	0.470171i	$0.155808\pi$
$264$	2.30108	−	0.564961i	0.141622	−	0.0347709i
$265$	8.60473	+	14.9038i	0.528585	+	0.915536i
$266$	−6.60583	+	2.30411i	−0.405030	+	0.141274i
$267$	0.169048	−	0.268535i	0.0103456	−	0.0164341i
$268$	−2.80250	−	14.8931i	−0.171190	−	0.909738i
$269$	−6.59719	+	3.80889i	−0.402238	+	0.232232i	−0.687449	−	0.726232i	$-0.741270\pi$
$269$	−6.59719	+	3.80889i	−0.402238	+	0.232232i	0.285211	+	0.958465i	$0.407936\pi$
$270$	10.8736	−	17.9227i	0.661745	−	1.09074i
$271$	−1.66893	+	2.89067i	−0.101380	+	0.175595i	−0.912253	−	0.409626i	$-0.865659\pi$
$271$	−1.66893	+	2.89067i	−0.101380	+	0.175595i	0.810873	+	0.585222i	$0.198992\pi$
$272$	0.838177	−	0.327028i	0.0508219	−	0.0198290i
$273$	−3.70232	−	17.8637i	−0.224075	−	1.08116i
$274$	13.4020	+	6.15614i	0.809643	+	0.371906i
$275$			1.51775i			0.0915239i
$276$	−2.07755	−	2.61503i	−0.125054	−	0.157406i
$277$			3.04876i			0.183182i	0.995797	+	0.0915911i	$0.0291953\pi$
$277$			3.04876i			0.183182i	−0.995797	+	0.0915911i	$0.970805\pi$
$278$	4.65998	−	0.434632i	0.279487	−	0.0260675i
$279$	9.30997	−	13.6059i	0.557373	−	0.814562i
$280$	0.0425786	−	21.3478i	0.00254456	−	1.27578i
$281$	−12.7299	+	22.0488i	−0.759402	+	1.31532i	0.183754	+	0.982972i	$0.441175\pi$
$281$	−12.7299	+	22.0488i	−0.759402	+	1.31532i	−0.943156	+	0.332351i	$0.892158\pi$
$282$	−1.58587	−	28.9329i	−0.0944369	−	1.72293i
$283$	6.59572	+	3.80804i	0.392075	+	0.226365i	0.683059	−	0.730363i	$-0.260649\pi$
$283$	6.59572	+	3.80804i	0.392075	+	0.226365i	−0.290984	+	0.956728i	$0.593983\pi$
$284$	9.16992	+	10.6772i	0.544135	+	0.633576i
$285$	4.92193	−	7.81857i	0.291550	−	0.463132i
$286$	0.252873	+	2.71122i	0.0149527	+	0.160318i
$287$	23.0525	−	5.70500i	1.36075	−	0.336755i
$288$	10.3873	−	13.4203i	0.612076	−	0.790799i
$289$	8.47470	−	14.6786i	0.498512	−	0.863448i
$290$	0.904558	−	0.641139i	0.0531175	−	0.0376490i
$291$	3.25802	−	5.17542i	0.190988	−	0.303388i
$292$	3.11960	−	8.88681i	0.182561	−	0.520061i
$293$	−0.0399331	+	0.0230554i	−0.00233292	+	0.00134691i	−0.501166	−	0.865351i	$-0.667095\pi$
$293$	−0.0399331	+	0.0230554i	−0.00233292	+	0.00134691i	0.498833	+	0.866698i	$0.333762\pi$
$294$	−8.81508	−	14.7069i	−0.514106	−	0.857727i
$295$	14.5202	−	25.1497i	0.845396	−	1.46427i
$296$	−4.41270	+	17.6793i	−0.256483	+	1.02759i
$297$	−0.287699	+	2.49663i	−0.0166940	+	0.144869i
$298$	−0.822146	+	1.78982i	−0.0476256	+	0.103681i
$299$	3.32399	−	1.91911i	0.192231	−	0.110985i
$300$	6.76205	+	8.51147i	0.390407	+	0.491410i
$301$	15.4681	−	14.8854i	0.891568	−	0.857981i
$302$	22.3264	+	10.2555i	1.28474	+	0.590140i
$303$	0.814535	−	21.2886i	0.0467938	−	1.22300i
$304$	4.67487	−	5.83813i	0.268122	−	0.334840i
$305$	−12.3170	−	21.3336i	−0.705268	−	1.22156i
$306$	0.0157586	+	0.954162i	0.000900860	+	0.0545458i
$307$			0.749278i			0.0427635i	0.999771	+	0.0213818i	$0.00680655\pi$
$307$			0.749278i			0.0427635i	−0.999771	+	0.0213818i	$0.993193\pi$
$308$	1.06364	+	2.32778i	0.0606063	+	0.132637i
$309$	−31.8221	−	1.21757i	−1.81030	−	0.0692649i
$310$	12.8204	+	18.0878i	0.728150	+	1.02732i
$311$	−3.25553	+	5.63874i	−0.184604	+	0.319744i	−0.943443	−	0.331535i	$-0.892434\pi$
$311$	−3.25553	+	5.63874i	−0.184604	+	0.319744i	0.758839	+	0.651278i	$0.225767\pi$
$312$	13.4974	+	14.0777i	0.764141	+	0.796995i
$313$	2.74397	+	4.75269i	0.155098	+	0.268638i	0.933095	−	0.359631i	$-0.117097\pi$
$313$	2.74397	+	4.75269i	0.155098	+	0.268638i	−0.777997	+	0.628268i	$0.783764\pi$
$314$	−19.9536	−	28.1517i	−1.12605	−	1.58869i
$315$	21.2114	+	7.92308i	1.19513	+	0.446415i
$316$	−8.59558	+	24.4862i	−0.483539	+	1.37746i
$317$	17.6186	−	10.1721i	0.989558	−	0.571321i	0.0844156	−	0.996431i	$-0.473098\pi$
$317$	17.6186	−	10.1721i	0.989558	−	0.571321i	0.905142	+	0.425109i	$0.139764\pi$
$318$	−14.7547	+	0.808734i	−0.827403	+	0.0453516i
$319$	−0.0664595	+	0.115111i	−0.00372102	+	0.00644499i
$320$	12.0840	+	19.3601i	0.675514	+	1.08226i
$321$	−14.2302	−	8.95816i	−0.794252	−	0.499996i
$322$	2.35581	−	2.73200i	0.131284	−	0.152248i
$323$			0.420571i			0.0234012i
$324$	9.50986	+	15.2828i	0.528325	+	0.849042i
$325$	−10.8190	+	6.24637i	−0.600131	+	0.346486i
$326$	10.2004	+	14.3914i	0.564949	+	0.797064i
$327$	−18.6183	+	9.82000i	−1.02960	+	0.543047i
$328$	−17.6403	+	18.2579i	−0.974024	+	1.00812i
$329$	30.3814	−	7.51875i	1.67498	−	0.414522i
$330$	−3.01497	−	1.52711i	−0.165969	−	0.0840648i
$331$	15.5023	−	8.95027i	0.852085	−	0.491951i	−0.00926888	−	0.999957i	$-0.502950\pi$
$331$	15.5023	−	8.95027i	0.852085	−	0.491951i	0.861354	+	0.508006i	$0.169617\pi$
$332$	−6.34387	−	33.7125i	−0.348165	−	1.85022i
$333$	−15.9504	−	10.9142i	−0.874076	−	0.598096i
$334$	−1.50760	−	16.1640i	−0.0824922	−	0.884453i
$335$	−10.8079	+	18.7198i	−0.590498	+	1.02277i
$336$	16.3358	+	8.31521i	0.891189	+	0.453632i
$337$	4.65540	+	8.06338i	0.253596	+	0.439241i	0.964513	−	0.264035i	$-0.0850534\pi$
$337$	4.65540	+	8.06338i	0.253596	+	0.439241i	−0.710917	+	0.703275i	$0.751720\pi$
$338$	−3.28652	+	2.32944i	−0.178763	+	0.126705i
$339$	9.50857	+	18.0279i	0.516435	+	0.979139i
$340$	−1.21088	−	0.425065i	−0.0656694	−	0.0230524i
$341$	−2.30180	−	1.32894i	−0.124649	−	0.0719664i
$342$	4.07934	+	6.80363i	0.220586	+	0.367898i
$343$	13.8278	−	12.3204i	0.746632	−	0.665238i
$344$	−5.55757	+	22.2663i	−0.299644	+	1.20052i
$345$	−0.182139	+	4.76036i	−0.00980604	+	0.256289i
$346$	0.0860758	−	0.00802822i	0.00462746	−	0.000431600i
$347$	21.5166	+	12.4226i	1.15507	+	0.666881i	0.950118	−	0.311891i	$-0.100962\pi$
$347$	21.5166	+	12.4226i	1.15507	+	0.666881i	0.204954	+	0.978772i	$0.434296\pi$
$348$	0.140155	+	0.941635i	0.00751308	+	0.0504769i
$349$	−5.21785	−	3.01252i	−0.279305	−	0.161257i	0.353804	−	0.935320i	$-0.384888\pi$
$349$	−5.21785	−	3.01252i	−0.279305	−	0.161257i	−0.633109	+	0.774063i	$0.718221\pi$
$350$	−7.66776	+	8.89219i	−0.409859	+	0.475307i
$351$	−18.9808	+	8.22417i	−1.01312	+	0.438974i
$352$	−2.28524	−	1.50440i	−0.121804	−	0.0801850i
$353$	3.53437			0.188116			0.0940579	−	0.995567i	$-0.470016\pi$
$353$	3.53437			0.188116			0.0940579	+	0.995567i	$0.470016\pi$
$354$	13.6309	+	20.8800i	0.724473	+	1.10976i
$355$		−	20.0753i		−	1.06549i
$356$	−0.360083	+	0.0677588i	−0.0190844	+	0.00359121i
$357$	−1.00930	+	0.209183i	−0.0534181	+	0.0110711i
$358$	16.0610	−	1.49799i	0.848849	−	0.0791714i
$359$	−5.40947	+	9.36948i	−0.285501	+	0.494502i	−0.972731	−	0.231938i	$-0.925493\pi$
$359$	−5.40947	+	9.36948i	−0.285501	+	0.494502i	0.687230	+	0.726440i	$0.258827\pi$
$360$	−23.7116	+	4.86867i	−1.24971	+	0.256601i
$361$	−7.75193	−	13.4267i	−0.407996	−	0.706670i
$362$	5.08813	−	11.0769i	0.267426	−	0.582189i
$363$	−18.6338	−	0.712958i	−0.978019	−	0.0374206i
$364$	−12.2157	+	17.1620i	−0.640276	+	0.899533i
$365$	−11.6343	+	6.71708i	−0.608969	+	0.351588i
$366$	21.1202	−	1.15764i	1.10397	−	0.0605107i
$367$	3.42798			0.178939			0.0894697	−	0.995990i	$-0.471483\pi$
$367$	3.42798			0.178939			0.0894697	+	0.995990i	$0.471483\pi$
$368$	−0.582406	+	3.81229i	−0.0303600	+	0.198729i
$369$	−11.6425	−	24.2806i	−0.606086	−	1.26400i
$370$	21.2046	−	15.0296i	1.10238	−	0.781350i
$371$	−3.83429	−	15.4934i	−0.199066	−	0.804379i
$372$	−18.8292	+	2.80258i	−0.976249	+	0.145307i
$373$			20.5583i			1.06447i	0.846598	+	0.532234i	$0.178647\pi$
$373$			20.5583i			1.06447i	−0.846598	+	0.532234i	$0.821353\pi$
$374$	0.153185	−	0.0142874i	0.00792101	−	0.000738786i
$375$	−0.351745	+	9.19317i	−0.0181641	+	0.474733i
$376$	−23.2486	+	24.0625i	−1.19896	+	1.24093i
$377$	−1.09407			−0.0563473
$378$	−14.2987	+	13.1738i	−0.735444	+	0.677585i
$379$		−	0.0593048i		−	0.00304628i	−0.999999	−	0.00152314i	$-0.999515\pi$
$379$		−	0.0593048i		−	0.00304628i	0.999999	−	0.00152314i	$-0.000484831\pi$
$380$	−10.4841	+	1.97284i	−0.537820	+	0.101204i
$381$	−9.51452	−	0.364041i	−0.487443	−	0.0186504i
$382$	0.493306	+	5.28906i	0.0252397	+	0.270612i
$383$	−33.4151			−1.70743			−0.853717	−	0.520738i	$-0.825657\pi$
$383$	−33.4151			−1.70743			−0.853717	+	0.520738i	$0.825657\pi$
$384$	−19.5181	+	1.74484i	−0.996028	+	0.0890408i
$385$	1.01231	−	3.50729i	0.0515923	−	0.178748i
$386$	7.40514	−	5.24867i	0.376912	−	0.267150i
$387$	−20.0887	−	13.7459i	−1.02117	−	0.698745i
$388$	−6.93980	+	1.30590i	−0.352315	+	0.0662969i
$389$			4.53565i			0.229967i	0.993367	+	0.114983i	$0.0366815\pi$
$389$			4.53565i			0.229967i	−0.993367	+	0.114983i	$0.963319\pi$
$390$	−1.52249	−	27.7766i	−0.0770941	−	1.40652i
$391$	−0.108430	−	0.187807i	−0.00548356	−	0.00949780i
$392$	−5.52842	+	19.0115i	−0.279227	+	0.960225i
$393$	−1.33104	+	34.7878i	−0.0671420	+	1.75481i
$394$	12.4763	−	27.1610i	0.628545	−	1.36835i
$395$	32.0566	−	18.5079i	1.61294	−	0.931233i
$396$	2.33951	−	1.71695i	0.117565	−	0.0862802i
$397$	12.0113	+	6.93473i	0.602830	+	0.348044i	0.770154	−	0.637858i	$-0.220179\pi$
$397$	12.0113	+	6.93473i	0.602830	+	0.348044i	−0.167324	+	0.985902i	$0.553513\pi$
$398$	3.39113	+	36.3585i	0.169982	+	1.82249i
$399$	−6.39666	+	5.70102i	−0.320233	+	0.285408i
$400$	1.89563	−	12.4084i	0.0947816	−	0.620418i
$401$	21.0310			1.05024			0.525118	−	0.851029i	$-0.324021\pi$
$401$	21.0310			1.05024			0.525118	+	0.851029i	$0.324021\pi$
$402$	−10.1460	−	15.5417i	−0.506035	−	0.775150i
$403$		−	21.8773i		−	1.08979i
$404$	−18.6621	+	16.0276i	−0.928472	+	0.797401i
$405$	3.91219	−	25.3748i	0.194398	−	1.26088i
$406$	−0.970920	+	0.338655i	−0.0481859	+	0.0168072i
$407$	−1.55794	+	2.69844i	−0.0772244	+	0.133757i
$408$	0.795398	−	0.762610i	0.0393781	−	0.0377548i
$409$	−16.8090	+	29.1141i	−0.831154	+	1.43960i	0.0659698	+	0.997822i	$0.478986\pi$
$409$	−16.8090	+	29.1141i	−0.831154	+	1.43960i	−0.897124	+	0.441779i	$0.854347\pi$
$410$	36.0555	−	3.36287i	1.78066	−	0.166080i
$411$	18.0496	+	0.690609i	0.890323	+	0.0340652i
$412$	23.9580	+	27.8960i	1.18032	+	1.37434i
$413$	−19.4068	+	18.6757i	−0.954944	+	0.918969i
$414$	−3.57573	−	1.98645i	−0.175738	−	0.0976288i
$415$	−24.4652	+	42.3750i	−1.20095	+	2.08010i
$416$	1.31888	−	22.4814i	0.0646634	−	1.10224i
$417$	5.07006	−	2.67414i	0.248282	−	0.130953i
$418$	1.04341	−	0.739558i	0.0510351	−	0.0361730i
$419$	12.0114	−	6.93479i	0.586796	−	0.338787i	−0.177034	−	0.984205i	$-0.556650\pi$
$419$	12.0114	−	6.93479i	0.586796	−	0.338787i	0.763830	+	0.645418i	$0.223317\pi$
$420$	−9.94903	−	24.1788i	−0.485463	−	1.17981i
$421$	10.1508	+	5.86055i	0.494718	+	0.285626i	0.726530	−	0.687135i	$-0.241132\pi$
$421$	10.1508	+	5.86055i	0.494718	+	0.285626i	−0.231812	+	0.972761i	$0.574465\pi$
$422$	4.42572	−	0.412783i	0.215440	−	0.0200939i
$423$	−15.3440	−	32.0000i	−0.746050	−	1.55589i
$424$	12.2710	+	11.8559i	0.595932	+	0.575776i
$425$	0.352922	+	0.611279i	0.0171192	+	0.0296514i
$426$	15.3775	+	7.78887i	0.745044	+	0.377372i
$427$	5.48848	+	22.1776i	0.265606	+	1.07325i
$428$	3.59066	+	19.0815i	0.173561	+	0.922338i
$429$	1.55584	+	2.94981i	0.0751166	+	0.142418i
$430$	26.7062	−	18.9290i	1.28789	−	0.912837i
$431$	−2.68864	−	4.65686i	−0.129507	−	0.224313i	0.793979	−	0.607946i	$-0.208006\pi$
$431$	−2.68864	−	4.65686i	−0.129507	−	0.224313i	−0.923486	+	0.383633i	$0.874673\pi$
$432$	5.47030	−	20.0518i	0.263190	−	0.964744i
$433$	0.189544			0.00910888			0.00455444	−	0.999990i	$-0.498550\pi$
$433$	0.189544			0.00910888			0.00455444	+	0.999990i	$0.498550\pi$
$434$	−6.77186	−	19.4148i	−0.325060	−	0.931941i
$435$	0.723422	−	1.14917i	0.0346854	−	0.0550984i
$436$	22.9337	+	8.05058i	1.09832	+	0.385553i
$437$	−1.56121	−	0.901364i	−0.0746827	−	0.0431181i
$438$	−0.631319	−	11.5179i	−0.0301656	−	0.550348i
$439$	−10.6434	−	18.4349i	−0.507982	−	0.879851i	−0.999957	−	0.00924191i	$-0.997058\pi$
$439$	−10.6434	−	18.4349i	−0.507982	−	0.879851i	0.491975	−	0.870609i	$-0.336275\pi$
$440$	1.07473	+	3.75160i	0.0512357	+	0.178850i
$441$	−16.8631	−	12.5154i	−0.803005	−	0.595972i
$442$	0.732284	+	1.03315i	0.0348312	+	0.0491420i
$443$	−8.46671	+	4.88826i	−0.402265	+	0.232248i	−0.687461	−	0.726221i	$-0.741275\pi$
$443$	−8.46671	+	4.88826i	−0.402265	+	0.232248i	0.285196	+	0.958469i	$0.407941\pi$
$444$	3.28551	+	22.0738i	0.155923	+	1.04758i
$445$	0.452606	+	0.261312i	0.0214556	+	0.0123874i
$446$	−19.3030	+	13.6817i	−0.914021	+	0.647846i
$447$	−0.0922300	+	2.41051i	−0.00436233	+	0.114013i
$448$	−5.78841	−	20.3591i	−0.273477	−	0.961879i
$449$	0.960913			0.0453483			0.0226741	−	0.999743i	$-0.492782\pi$
$449$	0.960913			0.0453483			0.0226741	+	0.999743i	$0.492782\pi$
$450$	11.6384	+	6.46556i	0.548639	+	0.304790i
$451$	−3.75963	+	2.17062i	−0.177034	+	0.102211i
$452$	7.79527	−	22.2064i	0.366658	−	1.04450i
$453$	30.0690	+	1.15049i	1.41276	+	0.0540546i
$454$	9.14989	−	19.9194i	0.429425	−	0.934863i
$455$	29.1673	−	7.21827i	1.36738	−	0.338398i
$456$	2.55645	−	8.79613i	0.119717	−	0.411917i
$457$	16.4060	+	28.4161i	0.767442	+	1.32925i	0.938946	+	0.344066i	$0.111804\pi$
$457$	16.4060	+	28.4161i	0.767442	+	1.32925i	−0.171503	+	0.985184i	$0.554862\pi$
$458$	−8.49407	+	18.4917i	−0.396902	+	0.864059i
$459$	0.464669	+	1.07242i	0.0216889	+	0.0500565i
$460$	4.17304	−	3.58394i	0.194569	−	0.167102i
$461$	−14.3531	−	8.28677i	−0.668491	−	0.385953i	0.127014	−	0.991901i	$-0.459461\pi$
$461$	−14.3531	−	8.28677i	−0.668491	−	0.385953i	−0.795505	+	0.605948i	$0.792794\pi$
$462$	2.29379	+	2.13619i	0.106717	+	0.0993845i
$463$	1.95226	+	3.38142i	0.0907294	+	0.157148i	0.907818	−	0.419364i	$-0.137747\pi$
$463$	1.95226	+	3.38142i	0.0907294	+	0.157148i	−0.817089	+	0.576512i	$0.804413\pi$
$464$	0.687109	−	0.858083i	0.0318982	−	0.0398355i
$465$	22.9791	+	14.4658i	1.06563	+	0.670834i
$466$	−26.0715	+	18.4791i	−1.20774	+	0.856029i
$467$	19.0096	+	10.9752i	0.879660	+	0.507872i	0.870546	−	0.492087i	$-0.163766\pi$
$467$	19.0096	+	10.9752i	0.879660	+	0.507872i	0.00911339	+	0.999958i	$0.497099\pi$
$468$	21.8673	+	9.61061i	1.01082	+	0.444251i
$469$	14.4452	−	13.9010i	0.667015	−	0.641887i
$470$	47.5185	−	4.43201i	2.19186	−	0.204433i
$471$	−35.7645	−	22.5144i	−1.64794	−	1.03741i
$472$	6.97268	−	27.9359i	0.320944	−	1.28585i
$473$	−1.96215	+	3.39855i	−0.0902198	+	0.156265i
$474$	1.73950	+	31.7358i	0.0798980	+	1.45768i
$475$	5.08146	+	2.93378i	0.233154	+	0.134611i
$476$	0.969659	+	0.690192i	0.0444443	+	0.0316349i
$477$	−16.3188	+	7.82487i	−0.747189	+	0.358276i
$478$	1.41560	+	15.1776i	0.0647480	+	0.694206i
$479$	1.69702			0.0775387			0.0387693	−	0.999248i	$-0.487656\pi$
$479$	1.69702			0.0775387			0.0387693	+	0.999248i	$0.487656\pi$
$480$	22.7415	+	16.2505i	1.03800	+	0.741730i
$481$	−25.6471			−1.16941
$482$	−27.7527	−	12.7481i	−1.26410	−	0.580659i
$483$	1.38662	−	4.19497i	0.0630934	−	0.190878i
$484$	14.0288	+	16.3348i	0.637674	+	0.742491i
$485$	8.72297	+	5.03621i	0.396090	+	0.228683i
$486$	17.9190	+	12.8417i	0.812823	+	0.582510i
$487$	10.7407	+	18.6034i	0.486706	+	0.842999i	0.999883	−	0.0152834i	$-0.00486504\pi$
$487$	10.7407	+	18.6034i	0.486706	+	0.842999i	−0.513177	+	0.858283i	$0.671532\pi$
$488$	−17.5649	−	16.9708i	−0.795127	−	0.768233i
$489$	18.2831	+	11.5095i	0.826789	+	0.520479i
$490$	23.6499	−	15.4342i	1.06839	−	0.697245i
$491$	9.79168	−	5.65323i	0.441892	−	0.255127i	−0.262508	−	0.964930i	$-0.584550\pi$
$491$	9.79168	−	5.65323i	0.441892	−	0.255127i	0.704400	+	0.709803i	$0.251216\pi$
$492$	−11.4130	+	28.9230i	−0.514537	+	1.30395i
$493$			0.0618152i			0.00278402i
$494$	9.56601	+	4.39411i	0.430395	+	0.197700i
$495$	−4.12713	−	0.316284i	−0.185501	−	0.0142159i
$496$	17.1585	+	13.7396i	0.770439	+	0.616928i
$497$	−5.16319	+	17.8885i	−0.231601	+	0.802410i
$498$	−22.9668	−	35.1809i	−1.02917	−	1.57649i
$499$			34.6350i			1.55048i	0.631669	+	0.775238i	$0.282370\pi$
$499$			34.6350i			1.55048i	−0.631669	+	0.775238i	$0.717630\pi$
$500$	8.05895	−	6.92128i	0.360407	−	0.309529i
$501$	−9.27572	−	17.5864i	−0.414409	−	0.785702i
$502$	−1.92679	+	4.19464i	−0.0859969	+	0.187216i
$503$	12.8251			0.571844			0.285922	−	0.958253i	$-0.407700\pi$
$503$	12.8251			0.571844			0.285922	+	0.958253i	$0.407700\pi$
$504$	22.3808	+	1.76007i	0.996922	+	0.0783999i
$505$	35.0885			1.56142
$506$	−0.275268	+	0.599261i	−0.0122372	+	0.0266404i
$507$	−2.62840	+	4.17525i	−0.116731	+	0.185429i
$508$	7.16321	+	8.34065i	0.317816	+	0.370057i
$509$			2.11990i			0.0939628i	0.998896	+	0.0469814i	$0.0149601\pi$
$509$			2.11990i			0.0939628i	−0.998896	+	0.0469814i	$0.985040\pi$
$510$	−1.56939	+	0.0860212i	−0.0694937	+	0.00380908i
$511$	12.0946	−	2.99315i	0.535033	−	0.132409i
$512$	16.8040	+	15.1534i	0.742638	+	0.669693i
$513$	7.80265	+	5.78916i	0.344495	+	0.255598i
$514$	15.8649	+	7.28746i	0.699769	+	0.321436i
$515$		−	52.4502i		−	2.31123i
$516$	4.13793	+	27.8008i	0.182162	+	1.22386i
$517$	−4.95490	+	2.86071i	−0.217916	+	0.125814i
$518$	−22.7603	+	7.93876i	−1.00003	+	0.348809i
$519$	0.0936505	−	0.0493948i	0.00411080	−	0.00216819i
$520$	−22.3195	+	23.1008i	−0.978774	+	1.01304i
$521$	9.93199	+	17.2027i	0.435129	+	0.753665i	0.997306	−	0.0733518i	$-0.0233696\pi$
$521$	9.93199	+	17.2027i	0.435129	+	0.753665i	−0.562178	+	0.827017i	$0.690036\pi$
$522$	0.599579	+	0.999992i	0.0262428	+	0.0437685i
$523$	−9.94603	−	5.74235i	−0.434910	−	0.251095i	0.266526	−	0.963828i	$-0.414124\pi$
$523$	−9.94603	−	5.74235i	−0.434910	−	0.251095i	−0.701436	+	0.712732i	$0.747457\pi$
$524$	30.4958	−	26.1908i	1.33222	−	1.14415i
$525$	−4.51321	+	13.6539i	−0.196973	+	0.595905i
$526$	−36.7877	−	16.8983i	−1.60402	−	0.736800i
$527$	−1.23608			−0.0538443
$528$	−3.29067	−	0.632320i	−0.143208	−	0.0275182i
$529$	−22.0705			−0.959585
$530$	−2.26016	−	24.2327i	−0.0981752	−	1.05260i
$531$	25.2039	+	17.2460i	1.09375	+	0.748414i
$532$	9.84942	+	0.938467i	0.427027	+	0.0406877i
$533$	−30.9458	−	17.8665i	−1.34041	−	0.773886i
$534$	−0.375767	+	0.245308i	−0.0162610	+	0.0106155i
$535$	13.8474	−	23.9845i	0.598677	−	1.03694i
$536$	−5.19003	+	20.7937i	−0.224175	+	0.898151i
$537$	17.4743	−	9.21662i	0.754073	−	0.397726i
$538$	10.7266	−	1.00046i	0.462457	−	0.0431330i
$539$	−1.80409	+	2.86488i	−0.0777075	+	0.123399i
$540$	−24.5538	+	16.6139i	−1.05663	+	0.714949i
$541$	23.1332	+	13.3560i	0.994574	+	0.574218i	0.906638	−	0.421909i	$-0.138640\pi$
$541$	23.1332	+	13.3560i	0.994574	+	0.574218i	0.0879357	+	0.996126i	$0.471973\pi$
$542$	3.85117	−	2.72966i	0.165422	−	0.117249i
$543$	0.570797	−	14.9183i	0.0244952	−	0.640204i
$544$	−1.27021	−	0.0745173i	−0.0544596	−	0.00319490i
$545$	−17.3344	−	30.0240i	−0.742524	−	1.28609i
$546$	−5.78725	+	25.1425i	−0.247671	+	1.07600i
$547$	−4.44396	−	2.56572i	−0.190010	−	0.109702i	0.401977	−	0.915650i	$-0.368323\pi$
$547$	−4.44396	−	2.56572i	−0.190010	−	0.109702i	−0.591987	+	0.805947i	$0.701656\pi$
$548$	−13.5891	−	15.8227i	−0.580496	−	0.675914i
$549$	23.3591	−	11.2007i	0.996942	−	0.478033i
$550$	0.895950	−	1.95049i	0.0382034	−	0.0831692i
$551$	0.256930	+	0.445015i	0.0109456	+	0.0189583i
$552$	1.12620	+	4.58703i	0.0479344	+	0.195237i
$553$	−33.3247	+	8.24716i	−1.41711	+	0.350705i
$554$	1.79972	−	3.91802i	0.0764629	−	0.166461i
$555$	16.9584	−	26.9388i	0.719846	−	1.14349i
$556$	−6.24519	−	2.19230i	−0.264855	−	0.0929741i
$557$	7.41497	−	4.28104i	0.314182	−	0.181393i	−0.334614	−	0.942355i	$-0.608606\pi$
$557$	7.41497	−	4.28104i	0.314182	−	0.181393i	0.648797	+	0.760962i	$0.275273\pi$
$558$	−19.9962	+	11.9894i	−0.846505	+	0.507550i
$559$	−32.3012			−1.36620
$560$	−12.6566	+	27.4094i	−0.534841	+	1.15826i
$561$	0.166665	−	0.0879055i	0.00703661	−	0.00371137i
$562$	29.3752	−	20.8207i	1.23912	−	0.878269i
$563$	−0.580897	−	0.335381i	−0.0244819	−	0.0141346i	0.487709	−	0.873006i	$-0.337833\pi$
$563$	−0.580897	−	0.335381i	−0.0244819	−	0.0141346i	−0.512191	+	0.858872i	$0.671166\pi$
$564$	−15.0414	+	38.1183i	−0.633359	+	1.60507i
$565$	−29.0719	+	16.7847i	−1.22306	+	0.706136i
$566$	−6.22834	−	8.78733i	−0.261797	−	0.369359i
$567$	−10.0122	+	21.6045i	−0.420473	+	0.907305i
$568$	−5.48153	−	19.1346i	−0.230000	−	0.802870i
$569$	22.2689	+	38.5709i	0.933562	+	1.61698i	0.777178	+	0.629281i	$0.216651\pi$
$569$	22.2689	+	38.5709i	0.933562	+	1.61698i	0.156385	+	0.987696i	$0.450016\pi$
$570$	−10.9407	+	7.14231i	−0.458255	+	0.299158i
$571$	−27.7135	−	16.0004i	−1.15977	−	0.669595i	−0.208523	−	0.978017i	$-0.566866\pi$
$571$	−27.7135	−	16.0004i	−1.15977	−	0.669595i	−0.951250	+	0.308422i	$0.900199\pi$
$572$	1.27550	−	3.63351i	0.0533313	−	0.151925i
$573$	3.03514	+	5.75450i	0.126795	+	0.240397i
$574$	−32.9929	−	6.27661i	−1.37710	−	0.261981i
$575$	−3.02552			−0.126173
$576$	−21.2711	+	11.1149i	−0.886295	+	0.463122i
$577$	−16.8054	−	29.1079i	−0.699619	−	1.21178i	−0.968599	−	0.248630i	$-0.920020\pi$
$577$	−16.8054	−	29.1079i	−0.699619	−	1.21178i	0.268979	−	0.963146i	$-0.413314\pi$
$578$	−19.5560	+	13.8610i	−0.813422	+	0.576543i
$579$	5.92228	−	9.40763i	0.246121	−	0.390968i
$580$	−1.54094	+	0.289966i	−0.0639839	+	0.0120402i
$581$	32.6987	−	31.4668i	1.35657	−	1.30546i
$582$	−7.24206	+	4.72777i	−0.300193	+	0.195972i
$583$	1.45886	+	2.52682i	0.0604198	+	0.104650i
$584$	−9.25507	+	9.57906i	−0.382977	+	0.396384i
$585$	−14.7308	−	30.7211i	−0.609042	−	1.27016i
$586$	0.0649286	−	0.00605584i	0.00268218	−	0.000250164i
$587$	12.0833	+	6.97628i	0.498730	+	0.287942i	0.728189	−	0.685376i	$-0.240362\pi$
$587$	12.0833	+	6.97628i	0.498730	+	0.287942i	−0.229459	+	0.973318i	$0.573696\pi$
$588$	2.64671	+	24.1038i	0.109149	+	0.994025i
$589$	−8.89866	+	5.13765i	−0.366663	+	0.211693i
$590$	−33.5063	+	23.7488i	−1.37943	+	0.977724i
$591$	1.39961	−	36.5801i	0.0575724	−	1.50470i
$592$	16.1072	−	20.1152i	0.662002	−	0.826729i
$593$	−15.8843	+	27.5125i	−0.652292	+	1.12980i	0.330274	+	0.943885i	$0.392859\pi$
$593$	−15.8843	+	27.5125i	−0.652292	+	1.12980i	−0.982565	+	0.185917i	$0.940474\pi$
$594$	1.84352	−	3.03863i	0.0756407	−	0.124677i
$595$	−0.407835	−	1.64796i	−0.0167196	−	0.0675599i
$596$	2.11311	−	1.81480i	0.0865563	−	0.0743373i
$597$	20.8644	+	39.5581i	0.853923	+	1.61900i
$598$	−5.40460	+	0.504082i	−0.221011	+	0.0206135i
$599$	12.2575	−	21.2306i	0.500829	−	0.867461i	−0.499171	−	0.866504i	$-0.666362\pi$
$599$	12.2575	−	21.2306i	0.500829	−	0.867461i	1.00000		0.000957081i	$-0.000304648\pi$
$600$	−3.66560	−	14.9300i	−0.149648	−	0.609514i
$601$	−20.7043	+	35.8609i	−0.844546	+	1.46280i	0.0414687	+	0.999140i	$0.486796\pi$
$601$	−20.7043	+	35.8609i	−0.844546	+	1.46280i	−0.886015	+	0.463657i	$0.846537\pi$
$602$	−28.6654	+	9.99847i	−1.16832	+	0.407507i
$603$	−18.7602	−	12.8368i	−0.763973	−	0.522757i
$604$	−22.6381	−	26.3592i	−0.921131	−	1.07254i
$605$		−	30.7127i		−	1.24865i
$606$	−13.6137	+	26.8775i	−0.553019	+	1.09182i
$607$	13.2929			0.539541			0.269770	−	0.962925i	$-0.413052\pi$
$607$	13.2929			0.539541			0.269770	+	0.962925i	$0.413052\pi$
$608$	−9.45410	+	4.74305i	−0.383414	+	0.192356i
$609$	−0.940176	+	0.837932i	−0.0380978	+	0.0339547i
$610$	3.23524	+	34.6871i	0.130991	+	1.40444i
$611$	−40.7842	−	23.5467i	−1.64995	−	0.952599i
$612$	0.543003	−	1.23551i	0.0219496	−	0.0499427i
$613$	34.5136	−	19.9264i	1.39399	−	0.804820i	0.400236	−	0.916412i	$-0.368928\pi$
$613$	34.5136	−	19.9264i	1.39399	−	0.804820i	0.993754	+	0.111592i	$0.0355949\pi$
$614$	0.442309	−	0.962910i	0.0178501	−	0.0388599i
$615$	39.2284	−	20.6905i	1.58184	−	0.834323i
$616$	0.00721885	−	3.61935i	0.000290856	−	0.145828i
$617$	16.6411	+	28.8233i	0.669947	+	1.16038i	0.977918	+	0.208987i	$0.0670166\pi$
$617$	16.6411	+	28.8233i	0.669947	+	1.16038i	−0.307971	+	0.951396i	$0.599650\pi$
$618$	40.1764	+	20.3497i	1.61613	+	0.818587i
$619$		−	4.87042i		−	0.195759i	−0.995198	−	0.0978794i	$-0.968794\pi$
$619$		−	4.87042i		−	0.195759i	0.995198	−	0.0978794i	$-0.0312059\pi$
$620$	−5.79825	−	30.8130i	−0.232863	−	1.23748i
$621$	−4.97683	−	0.573505i	−0.199713	−	0.0230140i
$622$	7.51237	−	5.32467i	0.301218	−	0.213500i
$623$	−0.336097	−	0.349254i	−0.0134654	−	0.0139926i
$624$	−9.03549	−	26.0593i	−0.361709	−	1.04321i
$625$	−30.8429			−1.23371
$626$	−0.720744	−	7.72757i	−0.0288067	−	0.308856i
$627$	0.834472	−	1.32557i	0.0333256	−	0.0529383i
$628$	9.02436	+	47.9572i	0.360111	+	1.91370i
$629$			1.44907i			0.0577782i
$630$	−22.5821	−	22.7035i	−0.899691	−	0.904529i
$631$	3.79206			0.150960			0.0754798	−	0.997147i	$-0.475951\pi$
$631$	3.79206			0.150960			0.0754798	+	0.997147i	$0.475951\pi$
$632$	25.5009	−	26.3936i	1.01437	−	1.04988i
$633$	4.81518	−	2.53970i	0.191386	−	0.100944i
$634$	−28.6467	+	2.67185i	−1.13770	+	0.106113i
$635$		−	15.6821i		−	0.622326i
$636$	19.4390	+	7.67059i	0.770805	+	0.304159i
$637$	−27.8466	−	1.06958i	−1.10332	−	0.0423781i
$638$	0.153360	−	0.108700i	0.00607159	−	0.00430346i
$639$	21.0500	+	1.61317i	0.832723	+	0.0638161i
$640$	−4.10078	−	32.0134i	−0.162097	−	1.26544i
$641$	−2.73477			−0.108017			−0.0540085	−	0.998540i	$-0.517200\pi$
$641$	−2.73477			−0.108017			−0.0540085	+	0.998540i	$0.517200\pi$
$642$	12.9994	+	19.9126i	0.513044	+	0.785887i
$643$	3.47937	−	2.00881i	0.137213	−	0.0792199i	−0.429822	−	0.902914i	$-0.641424\pi$
$643$	3.47937	−	2.00881i	0.137213	−	0.0792199i	0.567035	+	0.823694i	$0.308090\pi$
$644$	−4.64023	+	2.12027i	−0.182851	+	0.0835505i
$645$	21.3583	−	33.9280i	0.840983	−	1.33592i
$646$	0.248269	−	0.540484i	0.00976801	−	0.0212650i
$647$	−4.72278	−	8.18010i	−0.185672	−	0.321593i	0.758131	−	0.652102i	$-0.226113\pi$
$647$	−4.72278	−	8.18010i	−0.185672	−	0.321593i	−0.943803	+	0.330509i	$0.892779\pi$
$648$	−3.19967	−	25.2540i	−0.125695	−	0.992069i
$649$	2.46177	−	4.26391i	0.0966329	−	0.167373i
$650$	17.5910	−	1.64070i	0.689977	−	0.0643536i
$651$	−16.7555	−	18.8000i	−0.656701	−	0.736832i
$652$	−4.61332	−	24.5161i	−0.180671	−	0.960123i
$653$		−	4.69788i		−	0.183842i	−0.995766	−	0.0919211i	$-0.970699\pi$
$653$		−	4.69788i		−	0.183842i	0.995766	−	0.0919211i	$-0.0293007\pi$
$654$	29.7236	−	1.62921i	1.16229	−	0.0637071i
$655$	−57.3383			−2.24039
$656$	33.4478	−	13.0502i	1.30592	−	0.509524i
$657$	−6.10830	−	12.7389i	−0.238308	−	0.496993i
$658$	−43.4822	−	8.27210i	−1.69511	−	0.322480i
$659$	22.4519	+	12.9626i	0.874602	+	0.504952i	0.868875	−	0.495032i	$-0.164844\pi$
$659$	22.4519	+	12.9626i	0.874602	+	0.504952i	0.00572721	+	0.999984i	$0.498177\pi$
$660$	2.97312	+	3.74230i	0.115729	+	0.145669i
$661$	−25.0312	−	14.4517i	−0.973599	−	0.562108i	−0.0732674	−	0.997312i	$-0.523343\pi$
$661$	−25.0312	−	14.4517i	−0.973599	−	0.562108i	−0.900332	+	0.435205i	$0.856676\pi$
$662$	−25.2058	+	2.35092i	−0.979651	+	0.0913712i
$663$	1.31254	+	0.826265i	0.0509747	+	0.0320895i
$664$	−11.7484	+	47.0695i	−0.455925	+	1.82665i
$665$	−9.78567	−	10.1688i	−0.379472	−	0.394327i
$666$	14.0553	+	23.4418i	0.544632	+	0.908352i
$667$	−0.229465	−	0.132482i	−0.00888492	−	0.00512971i
$668$	−7.60437	+	21.6626i	−0.294222	+	0.838150i
$669$	−15.4376	+	24.5228i	−0.596851	+	0.948108i
$670$	24.9400	−	17.6771i	0.963515	−	0.682927i
$671$	−2.08824	−	3.61694i	−0.0806156	−	0.139630i
$672$	−16.0848	−	20.3293i	−0.620485	−	0.784218i
$673$	18.1684	−	31.4685i	0.700339	−	1.21302i	−0.268009	−	0.963416i	$-0.586366\pi$
$673$	18.1684	−	31.4685i	0.700339	−	1.21302i	0.968348	−	0.249606i	$-0.0803010\pi$
$674$	−1.22281	−	13.1106i	−0.0471009	−	0.505000i
$675$	16.1987	+	1.86666i	0.623490	+	0.0718478i
$676$	5.59866	−	1.05353i	0.215333	−	0.0405204i
$677$	−16.8638	+	9.73634i	−0.648130	+	0.374198i	−0.787739	−	0.616009i	$-0.788749\pi$
$677$	−16.8638	+	9.73634i	−0.648130	+	0.374198i	0.139609	+	0.990207i	$0.455415\pi$
$678$	−1.57754	−	28.7810i	−0.0605851	−	1.10533i
$679$	−6.47751	−	6.73109i	−0.248584	−	0.258316i
$680$	1.30521	+	1.26106i	0.0500524	+	0.0483595i
$681$	1.02645	−	26.8272i	0.0393338	−	1.02802i
$682$	2.17359	+	3.06664i	0.0832311	+	0.117428i
$683$	−2.74401	+	1.58426i	−0.104997	+	0.0606198i	−0.551579	−	0.834123i	$-0.685974\pi$
$683$	−2.74401	+	1.58426i	−0.104997	+	0.0606198i	0.446582	+	0.894743i	$0.352641\pi$
$684$	−1.22616	−	11.1516i	−0.0468835	−	0.426391i
$685$			29.7500i			1.13669i
$686$	−25.0433	+	7.67039i	−0.956156	+	0.292857i
$687$	−0.952882	+	24.9044i	−0.0363547	+	0.950162i
$688$	20.2862	−	25.3341i	0.773405	−	0.965852i
$689$	−12.0080	+	20.7984i	−0.457468	+	0.792357i
$690$	3.04418	−	6.01011i	0.115890	−	0.228801i
$691$	−24.2023	+	13.9732i	−0.920701	+	0.531567i	−0.883859	−	0.467754i	$-0.845063\pi$
$691$	−24.2023	+	13.9732i	−0.920701	+	0.531567i	−0.0368422	+	0.999321i	$0.511730\pi$
$692$	−0.115357	−	0.0404945i	−0.00438521	−	0.00153937i
$693$	3.59621	+	1.34329i	0.136609	+	0.0510274i
$694$	−20.3181	−	28.6661i	−0.771266	−	1.08815i
$695$	4.72042	+	8.17601i	0.179056	+	0.310134i
$696$	0.375745	−	1.29285i	0.0142426	−	0.0490053i
$697$	−1.00947	+	1.74845i	−0.0382363	+	0.0662272i
$698$	4.92721	+	6.95162i	0.186498	+	0.263123i
$699$	−20.8507	+	33.1217i	−0.788647	+	1.25278i
$700$	15.1032	−	6.90113i	0.570846	−	0.260838i
$701$			29.3705i			1.10931i	0.832081	+	0.554654i	$0.187149\pi$
$701$			29.3705i			1.10931i	−0.832081	+	0.554654i	$0.812851\pi$
$702$	29.2474	+	0.635612i	1.10387	+	0.0239896i
$703$	6.02294	+	10.4320i	0.227160	+	0.393452i
$704$	2.04873	+	3.28235i	0.0772146	+	0.123708i
$705$	51.7001	−	27.2685i	1.94714	−	1.02699i
$706$	−4.54209	−	2.08639i	−0.170944	−	0.0785223i
$707$	−31.2663	−	9.02445i	−1.17589	−	0.339399i
$708$	−5.19156	−	34.8797i	−0.195111	−	1.31086i
$709$	29.6350	−	17.1098i	1.11297	−	0.642571i	0.173370	−	0.984857i	$-0.444534\pi$
$709$	29.6350	−	17.1098i	1.11297	−	0.642571i	0.939596	+	0.342286i	$0.111201\pi$
$710$	−11.8507	+	25.7992i	−0.444750	+	0.968225i
$711$	16.8305	+	35.1001i	0.631192	+	1.31636i
$712$	0.502749	+	0.125484i	0.0188413	+	0.00470272i
$713$	2.64914	−	4.58845i	0.0992112	−	0.171839i
$714$	1.42056	+	0.326982i	0.0531631	+	0.0122370i
$715$	−4.75688	+	2.74639i	−0.177897	+	0.102709i
$716$	−21.5245	−	7.55592i	−0.804410	−	0.282378i
$717$	8.70968	+	16.5132i	0.325269	+	0.616697i
$718$	12.4827	−	8.84760i	0.465852	−	0.330190i
$719$	5.32361	−	9.22076i	0.198537	−	0.343876i	−0.749517	−	0.661985i	$-0.769714\pi$
$719$	5.32361	−	9.22076i	0.198537	−	0.343876i	0.948054	+	0.318109i	$0.103048\pi$
$720$	33.3462	+	7.74044i	1.24274	+	0.288469i
$721$	−13.4897	+	46.7368i	−0.502383	+	1.74057i
$722$	2.03616	+	21.8310i	0.0757780	+	0.812466i
$723$	−37.3771	−	1.43011i	−1.39007	−	0.0531862i
$724$	−13.0777	+	11.2315i	−0.486029	+	0.417417i
$725$	0.746869	+	0.431205i	0.0277380	+	0.0160146i
$726$	23.5257	+	11.9160i	0.873121	+	0.442244i
$727$	−3.98775	+	6.90699i	−0.147898	+	0.256166i	−0.930450	−	0.366418i	$-0.880584\pi$
$727$	−3.98775	+	6.90699i	−0.147898	+	0.256166i	0.782553	+	0.622584i	$0.213917\pi$
$728$	25.8296	−	14.8441i	0.957308	−	0.550159i
$729$	26.2923	+	6.14114i	0.973790	+	0.227450i
$730$	18.9167	−	1.76434i	0.700138	−	0.0653013i
$731$			1.82503i			0.0675013i
$732$	−27.8253	−	10.9798i	−1.02845	−	0.405826i
$733$		−	20.5967i		−	0.760757i	−0.924831	−	0.380379i	$-0.875794\pi$
$733$		−	20.5967i		−	0.760757i	0.924831	−	0.380379i	$-0.124206\pi$
$734$	−4.40537	−	2.02359i	−0.162605	−	0.0746920i
$735$	19.5362	−	28.5418i	0.720605	−	1.05278i
$736$	2.99891	−	4.55544i	0.110541	−	0.167916i
$737$	−1.83239	+	3.17379i	−0.0674968	+	0.116908i
$738$	0.628854	+	38.0762i	0.0231484	+	1.40161i
$739$	24.0430	−	13.8813i	0.884437	−	0.510630i	0.0123184	−	0.999924i	$-0.496079\pi$
$739$	24.0430	−	13.8813i	0.884437	−	0.510630i	0.872119	+	0.489294i	$0.162745\pi$
$740$	−36.1226	+	6.79738i	−1.32789	+	0.249877i
$741$	12.8834	+	0.492940i	0.473284	+	0.0181086i
$742$	−4.21847	+	22.1743i	−0.154865	+	0.814045i
$743$	−14.8057	−	25.6442i	−0.543169	−	0.940796i	−0.998720	−	0.0505863i	$-0.983891\pi$
$743$	−14.8057	−	25.6442i	−0.543169	−	0.940796i	0.455551	−	0.890210i	$-0.349442\pi$
$744$	25.8522	+	7.51350i	0.947787	+	0.275458i
$745$	−3.97308			−0.145562
$746$	12.1358	−	26.4198i	0.444324	−	0.967298i
$747$	−42.4663	−	29.0580i	−1.55376	−	1.06318i
$748$	−0.205295	−	0.0720662i	−0.00750633	−	0.00263500i
$749$	−18.5076	+	17.8104i	−0.676254	+	0.650778i
$750$	5.87889	−	11.6067i	0.214667	−	0.423816i
$751$	−13.0547			−0.476372			−0.238186	−	0.971220i	$-0.576553\pi$
$751$	−13.0547			−0.476372			−0.238186	+	0.971220i	$0.576553\pi$
$752$	44.0816	−	17.1992i	1.60749	−	0.627189i
$753$	−0.216151	+	5.64930i	−0.00787699	+	0.205872i
$754$	1.40600	+	0.645842i	0.0512037	+	0.0235202i
$755$			49.5606i			1.80370i
$756$	26.1521	−	8.48914i	0.951144	−	0.308747i
$757$		−	37.2320i		−	1.35322i	−0.736341	−	0.676610i	$-0.763448\pi$
$757$		−	37.2320i		−	1.35322i	0.736341	−	0.676610i	$-0.236552\pi$
$758$	−0.0350084	+	0.0762136i	−0.00127156	+	0.00276820i
$759$	−0.0308801	+	0.807079i	−0.00112088	+	0.0292951i
$760$	14.6378	+	3.65355i	0.530970	+	0.132528i
$761$	−23.7763			−0.861891			−0.430945	−	0.902378i	$-0.641820\pi$
$761$	−23.7763			−0.861891			−0.430945	+	0.902378i	$0.641820\pi$
$762$	12.0124	+	6.08439i	0.435163	+	0.220414i
$763$	7.72424	+	31.2118i	0.279636	+	1.12994i
$764$	2.48825	−	7.08827i	0.0900217	−	0.256445i
$765$	−1.73576	+	0.832294i	−0.0627564	+	0.0300917i
$766$	42.9424	+	19.7254i	1.55157	+	0.712708i
$767$	40.5260			1.46331
$768$	26.1130	+	9.27947i	0.942274	+	0.334844i
$769$	−25.3753	−	43.9512i	−0.915055	−	1.58492i	−0.806820	−	0.590797i	$-0.798813\pi$
$769$	−25.3753	−	43.9512i	−0.915055	−	1.58492i	−0.108235	−	0.994125i	$-0.534520\pi$
$770$	−3.37134	+	3.90969i	−0.121495	+	0.140896i
$771$	21.3666	+	0.817522i	0.769500	+	0.0294423i
$772$	−12.6148	+	2.37380i	−0.454018	+	0.0854350i
$773$	−4.93182	+	2.84739i	−0.177385	+	0.102413i	−0.586064	−	0.810265i	$-0.699323\pi$
$773$	−4.93182	+	2.84739i	−0.177385	+	0.102413i	0.408678	+	0.912678i	$0.365990\pi$
$774$	17.7020	+	29.5238i	0.636284	+	1.06121i
$775$	−8.62251	+	14.9346i	−0.309730	+	0.536468i
$776$	9.68935	+	2.41842i	0.347827	+	0.0868164i
$777$	−22.0396	+	19.6428i	−0.790666	+	0.704681i
$778$	2.67746	−	5.82885i	0.0959915	−	0.208974i
$779$			16.7831i			0.601316i
$780$	−14.4403	+	36.5949i	−0.517046	+	1.31031i
$781$		−	3.40360i		−	0.121790i
$782$	0.0284809	+	0.305362i	0.00101847	+	0.0109197i
$783$	1.14683	+	0.850886i	0.0409843	+	0.0304082i
$784$	18.3274	−	21.1685i	0.654551	−	0.756018i
$785$	34.8025	−	60.2798i	1.24216	−	2.15148i
$786$	22.2463	−	43.9207i	0.793498	−	1.56660i
$787$	26.3465	+	15.2112i	0.939151	+	0.542219i	0.889694	−	0.456557i	$-0.150918\pi$
$787$	26.3465	+	15.2112i	0.939151	+	0.542219i	0.0494568	+	0.998776i	$0.484251\pi$
$788$	−32.0670	+	27.5401i	−1.14234	+	0.981076i
$789$	−49.5453	−	1.89568i	−1.76386	−	0.0674881i
$790$	−52.1220	+	4.86137i	−1.85442	+	0.172960i
$791$	30.2220	−	7.47928i	1.07457	−	0.265933i
$792$	−4.02009	+	0.825442i	−0.142848	+	0.0293308i
$793$	17.1885	−	29.7713i	0.610380	−	1.05721i
$794$	−11.3423	−	16.0024i	−0.402522	−	0.567903i
$795$	−13.9060	−	26.3652i	−0.493194	−	0.935076i
$796$	17.1049	−	48.7269i	0.606269	−	1.72708i
$797$	24.4995	−	14.1448i	0.867818	−	0.501035i	0.00119528	−	0.999999i	$-0.499620\pi$
$797$	24.4995	−	14.1448i	0.867818	−	0.501035i	0.866622	+	0.498964i	$0.166286\pi$
$798$	11.5859	−	3.55045i	0.410135	−	0.125685i
$799$	−1.33040	+	2.30432i	−0.0470662	+	0.0815210i
$800$	−9.76093	+	14.8272i	−0.345101	+	0.524220i
$801$	−0.310369	+	0.453582i	−0.0109663	+	0.0160265i
$802$	−27.0273	−	12.4149i	−0.954367	−	0.438384i
$803$	−1.97250	+	1.13883i	−0.0696081	+	0.0401883i
$804$	3.86427	+	25.9622i	0.136282	+	0.915618i
$805$	6.99149	+	2.01797i	0.246418	+	0.0711239i
$806$	−12.9145	+	28.1149i	−0.454893	+	0.990305i
$807$	11.6706	−	6.15549i	0.410823	−	0.216683i
$808$	33.4443	−	9.58085i	1.17657	−	0.337053i
$809$	3.52506	+	6.10558i	0.123934	+	0.214661i	0.921316	−	0.388815i	$-0.127115\pi$
$809$	3.52506	+	6.10558i	0.123934	+	0.214661i	−0.797382	+	0.603476i	$0.793782\pi$
$810$	−20.0067	+	30.3002i	−0.702964	+	1.06464i
$811$		−	24.9652i		−	0.876646i	−0.898818	−	0.438323i	$-0.855573\pi$
$811$		−	24.9652i		−	0.876646i	0.898818	−	0.438323i	$-0.144427\pi$
$812$	1.44766	+	0.137935i	0.0508029	+	0.00484057i
$813$	3.07998	−	4.89260i	0.108020	−	0.171591i
$814$	3.59507	−	2.54814i	0.126007	−	0.0893121i
$815$	−17.7913	+	30.8154i	−0.623202	+	1.07942i
$816$	−1.47236	+	0.510509i	−0.0515429	+	0.0178714i
$817$	7.58560	+	13.1386i	0.265386	+	0.459663i
$818$	38.7881	−	27.4925i	1.35619	−	0.961252i
$819$	5.22494	+	31.1633i	0.182574	+	1.08893i
$820$	−48.3208	−	16.9624i	−1.68744	−	0.592353i
$821$	34.4135	−	19.8686i	1.20104	−	0.693420i	0.240253	−	0.970710i	$-0.422770\pi$
$821$	34.4135	−	19.8686i	1.20104	−	0.693420i	0.960786	+	0.277290i	$0.0894363\pi$
$822$	−22.7883	−	11.5425i	−0.794832	−	0.402590i
$823$	8.65581	−	14.9923i	0.301722	−	0.522599i	−0.674804	−	0.737997i	$-0.735772\pi$
$823$	8.65581	−	14.9923i	0.301722	−	0.522599i	0.976526	+	0.215399i	$0.0691051\pi$
$824$	−14.3214	−	49.9924i	−0.498911	−	1.74157i
$825$	0.100510	−	2.62690i	0.00349929	−	0.0914570i
$826$	35.9645	−	12.5444i	1.25136	−	0.436474i
$827$			0.379327i			0.0131905i	0.999978	+	0.00659524i	$0.00209935\pi$
$827$			0.379327i			0.0131905i	−0.999978	+	0.00659524i	$0.997901\pi$
$828$	3.42261	+	4.66363i	0.118944	+	0.162072i
$829$	−31.7879	+	18.3527i	−1.10404	+	0.637417i	−0.937279	−	0.348581i	$-0.886664\pi$
$829$	−31.7879	+	18.3527i	−1.10404	+	0.637417i	−0.166760	+	0.985998i	$0.553330\pi$
$830$	56.4552	−	40.0147i	1.95959	−	1.38893i
$831$	0.201897	−	5.27674i	0.00700372	−	0.183048i
$832$	−14.9660	+	28.1127i	−0.518852	+	0.974631i
$833$	−0.0604315	+	1.57334i	−0.00209383	+	0.0545131i
$834$	−8.09420	+	0.443659i	−0.280279	+	0.0153626i
$835$	28.3600	−	16.3736i	0.981437	−	0.566633i
$836$	−1.77748	+	0.334478i	−0.0614755	+	0.0115682i
$837$	−17.0146	+	22.9323i	−0.588110	+	0.792656i
$838$	−19.5298	+	1.82153i	−0.674645	+	0.0629236i
$839$	−13.9352	+	24.1365i	−0.481096	+	0.833283i	−0.999765	−	0.0216925i	$-0.993095\pi$
$839$	−13.9352	+	24.1365i	−0.481096	+	0.833283i	0.518669	+	0.854975i	$0.326428\pi$
$840$	−1.48740	+	36.9457i	−0.0513203	+	1.27475i
$841$	−14.4622	−	25.0493i	−0.498698	−	0.863770i
$842$	−9.58538	−	13.5236i	−0.330334	−	0.466055i
$843$	23.4928	−	37.3188i	0.809136	−	1.28533i
$844$	−5.93124	−	2.08209i	−0.204162	−	0.0716684i
$845$	−7.03723	−	4.06295i	−0.242088	−	0.139770i
$846$	0.828782	+	50.1816i	0.0284941	+	1.72528i
$847$	−7.89904	+	27.3672i	−0.271414	+	0.940348i
$848$	−8.77095	−	22.4800i	−0.301196	−	0.771968i
$849$	−11.1636	−	7.02768i	−0.383133	−	0.241189i
$850$	−0.0927003	−	0.993901i	−0.00317959	−	0.0340905i
$851$	−5.37912	−	3.10563i	−0.184394	−	0.106460i
$852$	−15.1641	−	19.0872i	−0.519513	−	0.653917i
$853$	5.73951	+	3.31371i	0.196517	+	0.113459i	0.595030	−	0.803704i	$-0.297140\pi$
$853$	5.73951	+	3.31371i	0.196517	+	0.113459i	−0.398513	+	0.917163i	$0.630474\pi$
$854$	6.03840	−	31.7408i	0.206630	−	1.08615i
$855$	−9.03657	+	13.2063i	−0.309044	+	0.451647i
$856$	6.64964	−	26.6416i	0.227280	−	0.910591i
$857$	27.6057			0.942993			0.471497	−	0.881868i	$-0.343714\pi$
$857$	27.6057			0.942993			0.471497	+	0.881868i	$0.343714\pi$
$858$	−0.258125	−	4.70928i	−0.00881224	−	0.160772i
$859$			1.98846i			0.0678453i	0.999424	+	0.0339227i	$0.0108000\pi$
$859$			1.98846i			0.0678453i	−0.999424	+	0.0339227i	$0.989200\pi$
$860$	−45.4946	+	8.56096i	−1.55135	+	0.291926i
$861$	−40.2767	+	8.34752i	−1.37263	+	0.284483i
$862$	0.706212	+	7.57176i	0.0240537	+	0.257895i
$863$	9.93703	−	17.2114i	0.338261	−	0.585884i	−0.645845	−	0.763468i	$-0.723495\pi$
$863$	9.93703	−	17.2114i	0.338261	−	0.585884i	0.984106	+	0.177584i	$0.0568282\pi$
$864$	−18.8669	+	22.5398i	−0.641864	+	0.766819i
$865$	0.0871923	+	0.151021i	0.00296463	+	0.00513488i
$866$	−0.243586	−	0.111890i	−0.00827739	−	0.00380218i
$867$	−15.6399	+	24.8443i	−0.531160	+	0.843757i
$868$	−2.75819	+	28.9479i	−0.0936191	+	0.982554i
$869$	5.43493	−	3.13786i	0.184367	−	0.106444i
$870$	−1.60805	+	1.04977i	−0.0545181	+	0.0355906i
$871$	−30.1650			−1.02210
$872$	−24.7201	−	23.8840i	−0.837129	−	0.808815i
$873$	−5.98166	+	8.74177i	−0.202448	+	0.295864i
$874$	1.47425	+	2.07996i	0.0498672	+	0.0703558i
$875$	13.5019	+	3.89708i	0.456448	+	0.131745i
$876$	−5.98787	+	15.1746i	−0.202311	+	0.512701i
$877$		−	32.2454i		−	1.08885i	−0.838810	−	0.544424i	$-0.816748\pi$
$877$		−	32.2454i		−	1.08885i	0.838810	−	0.544424i	$-0.183252\pi$
$878$	2.79565	+	29.9740i	0.0943487	+	1.01157i
$879$	0.0706423	−	0.0372594i	0.00238271	−	0.00125673i
$880$	0.833466	−	5.45567i	0.0280961	−	0.183911i
$881$	33.2728			1.12099			0.560494	−	0.828158i	$-0.310611\pi$
$881$	33.2728			1.12099			0.560494	+	0.828158i	$0.310611\pi$
$882$	14.2831	+	26.0383i	0.480936	+	0.876756i
$883$		−	52.1533i		−	1.75510i	−0.479488	−	0.877548i	$-0.659178\pi$
$883$		−	52.1533i		−	1.75510i	0.479488	−	0.877548i	$-0.340822\pi$
$884$	−0.331188	−	1.76000i	−0.0111391	−	0.0591952i
$885$	−26.7967	+	42.5671i	−0.900762	+	1.43088i
$886$	13.7663	−	1.28397i	0.462489	−	0.0431359i
$887$	28.1709			0.945888			0.472944	−	0.881093i	$-0.343191\pi$
$887$	28.1709			0.945888			0.472944	+	0.881093i	$0.343191\pi$
$888$	8.80820	−	30.3069i	0.295584	−	1.01703i
$889$	−4.03330	+	13.9739i	−0.135273	+	0.468669i
$890$	−0.427397	−	0.602997i	−0.0143264	−	0.0202125i
$891$	0.663279	−	4.30208i	0.0222207	−	0.144125i
$892$	32.8831	−	6.18778i	1.10101	−	0.207182i
$893$			22.1188i			0.740177i
$894$	1.54148	−	3.04335i	0.0515549	−	0.101785i
$895$	16.2693	+	28.1792i	0.543823	+	0.941928i
$896$	−4.57948	+	29.5809i	−0.152990	+	0.988228i
$897$	−5.88020	+	3.10144i	−0.196334	+	0.103554i
$898$	−1.23489	−	0.567240i	−0.0412087	−	0.0189291i
$899$	−1.30792	+	0.755127i	−0.0436215	+	0.0251849i
$900$	−11.1400	−	15.1793i	−0.371333	−	0.505977i
$901$	1.17512	+	0.678456i	0.0391489	+	0.0226026i
$902$	6.11291	−	0.570146i	0.203538	−	0.0189838i
$903$	−27.7578	+	24.7391i	−0.923720	+	0.823266i
$904$	−23.1266	+	23.9362i	−0.769178	+	0.796105i
$905$	24.5887			0.817357
$906$	−37.9631	−	19.2286i	−1.26124	−	0.638829i
$907$			45.9886i			1.52703i	0.645793	+	0.763513i	$0.276527\pi$
$907$			45.9886i			1.52703i	−0.645793	+	0.763513i	$0.723473\pi$
$908$	−23.5174	+	20.1975i	−0.780452	+	0.670276i
$909$	−2.81957	+	36.7920i	−0.0935192	+	1.22031i
$910$	−41.7444	−	7.94151i	−1.38381	−	0.263258i
$911$	−4.73512	+	8.20146i	−0.156881	+	0.271727i	−0.933743	−	0.357945i	$-0.883477\pi$
$911$	−4.73512	+	8.20146i	−0.156881	+	0.271727i	0.776861	+	0.629672i	$0.216811\pi$
$912$	−8.47782	+	9.79496i	−0.280729	+	0.324344i
$913$	−4.14787	+	7.18432i	−0.137274	+	0.237766i
$914$	−4.30929	−	46.2028i	−0.142539	−	1.52825i
$915$	19.9053	+	37.7396i	0.658048	+	1.24763i
$916$	21.8318	−	18.7498i	0.721342	−	0.619511i
$917$	51.0925	+	14.7469i	1.68722	+	0.486986i
$918$	0.0359123	−	1.65249i	0.00118528	−	0.0545404i
$919$	−24.8814	+	43.0958i	−0.820761	+	1.42160i	0.0843556	+	0.996436i	$0.473117\pi$
$919$	−24.8814	+	43.0958i	−0.820761	+	1.42160i	−0.905116	+	0.425164i	$0.860217\pi$
$920$	−7.47851	+	2.14238i	−0.246559	+	0.0706323i
$921$	0.0496191	−	1.29684i	0.00163501	−	0.0427323i
$922$	13.5537	+	19.1223i	0.446366	+	0.629760i
$923$	24.2619	−	14.0076i	0.798592	−	0.461067i
$924$	−1.68677	−	4.09931i	−0.0554908	−	0.134858i
$925$	17.5081	+	10.1083i	0.575663	+	0.332359i
$926$	−0.512791	−	5.49797i	−0.0168514	−	0.180675i
$927$	54.9966	+	4.21469i	1.80632	+	0.138428i
$928$	−1.38956	+	0.697129i	−0.0456144	+	0.0228844i
$929$	−9.92626	−	17.1928i	−0.325670	−	0.564077i	0.655978	−	0.754780i	$-0.272257\pi$
$929$	−9.92626	−	17.1928i	−0.325670	−	0.564077i	−0.981648	+	0.190703i	$0.938923\pi$
$930$	−20.9915	−	32.1551i	−0.688339	−	1.05441i
$931$	6.10441	+	11.5779i	0.200064	+	0.379449i
$932$	44.4134	−	8.35751i	1.45481	−	0.273759i
$933$	6.00803	−	9.54385i	0.196694	−	0.312452i
$934$	−17.9508	−	25.3261i	−0.587367	−	0.828694i
$935$	0.155172	+	0.268766i	0.00507467	+	0.00878958i
$936$	−22.4289	−	25.2594i	−0.733110	−	0.825628i
$937$	−60.1694			−1.96565			−0.982824	−	0.184546i	$-0.940919\pi$
$937$	−60.1694			−1.96565			−0.982824	+	0.184546i	$0.940919\pi$
$938$	−26.7697	+	9.33723i	−0.874061	+	0.304871i
$939$	−4.43448	−	8.40759i	−0.144714	−	0.274371i
$940$	−63.6831	−	22.3552i	−2.07711	−	0.729145i
$941$	−14.9342	−	8.62228i	−0.486842	−	0.281078i	0.236421	−	0.971651i	$-0.424025\pi$
$941$	−14.9342	−	8.62228i	−0.486842	−	0.281078i	−0.723263	+	0.690572i	$0.757359\pi$
$942$	32.6711	+	50.0460i	1.06448	+	1.63059i
$943$	−4.32696	−	7.49451i	−0.140905	−	0.244055i
$944$	−25.4517	+	31.7848i	−0.828381	+	1.03451i
$945$	−36.1877	−	15.1178i	−1.17719	−	0.491783i
$946$	4.52781	−	3.20925i	0.147212	−	0.104342i
$947$	−43.2080	+	24.9462i	−1.40407	+	0.810641i	−0.994807	−	0.101775i	$-0.967548\pi$
$947$	−43.2080	+	24.9462i	−1.40407	+	0.810641i	−0.409264	+	0.912416i	$0.634214\pi$
$948$	16.4986	−	41.8112i	0.535851	−	1.35796i
$949$	−16.2358	−	9.37375i	−0.527037	−	0.304285i
$950$	−4.79843	−	6.76992i	−0.155682	−	0.219645i
$951$	−31.1676	+	16.4389i	−1.01068	+	0.533069i
$952$	−0.838698	−	1.45938i	−0.0271823	−	0.0472988i
$953$	−21.8335			−0.707255			−0.353628	−	0.935386i	$-0.615052\pi$
$953$	−21.8335			−0.707255			−0.353628	+	0.935386i	$0.615052\pi$
$954$	25.5908	−	0.422649i	0.828532	−	0.0136838i
$955$	−9.27974	+	5.35766i	−0.300285	+	0.173370i
$956$	7.14032	−	20.3406i	0.230934	−	0.657863i
$957$	0.122650	−	0.194832i	0.00396471	−	0.00629801i
$958$	−2.18087	−	1.00177i	−0.0704606	−	0.0323658i
$959$	7.65143	−	26.5093i	0.247078	−	0.856031i
$960$	−19.6327	−	34.3084i	−0.633641	−	1.10730i
$961$	0.400254	+	0.693261i	0.0129114	+	0.0223633i
$962$	32.9595	+	15.1398i	1.06266	+	0.488128i
$963$	24.0362	+	16.4470i	0.774554	+	0.529997i
$964$	28.1401	+	32.7656i	0.906333	+	1.05531i
$965$	15.8562	+	9.15459i	0.510430	+	0.294697i
$966$	−4.25832	+	4.57249i	−0.137009	+	0.147118i
$967$	11.6198	+	20.1260i	0.373667	+	0.647210i	0.990127	−	0.140177i	$-0.0447671\pi$
$967$	11.6198	+	20.1260i	0.373667	+	0.647210i	−0.616460	+	0.787386i	$0.711434\pi$
$968$	−8.38606	−	29.2736i	−0.269538	−	0.940888i
$969$	0.0278513	−	0.727918i	0.000894713	−	0.0233841i
$970$	−8.23711	−	11.6214i	−0.264478	−	0.373141i
$971$	14.1339	+	8.16021i	0.453578	+	0.261874i	0.709340	−	0.704866i	$-0.248993\pi$
$971$	14.1339	+	8.16021i	0.453578	+	0.261874i	−0.255762	+	0.966740i	$0.582326\pi$
$972$	−15.4475	−	27.0809i	−0.495477	−	0.868621i
$973$	−2.10343	−	8.49945i	−0.0674329	−	0.272480i
$974$	−2.82120	−	30.2479i	−0.0903969	−	0.969205i
$975$	19.1390	−	10.0946i	0.612940	−	0.323287i
$976$	12.5549	+	32.1784i	0.401873	+	1.03000i
$977$	23.7320	−	41.1050i	0.759253	−	1.31507i	−0.183979	−	0.982930i	$-0.558898\pi$
$977$	23.7320	−	41.1050i	0.759253	−	1.31507i	0.943232	−	0.332135i	$-0.107769\pi$
$978$	−16.7017	−	25.5839i	−0.534061	−	0.818082i
$979$	0.0767356	+	0.0443033i	0.00245248	+	0.00141594i
$980$	−39.5039	+	5.87388i	−1.26191	+	0.187634i
$981$	32.8746	−	15.7633i	1.04961	−	0.503285i
$982$	−15.9206	+	1.48490i	−0.508048	+	0.0473852i
$983$	−29.2903			−0.934214			−0.467107	−	0.884201i	$-0.654704\pi$
$983$	−29.2903			−0.934214			−0.467107	+	0.884201i	$0.654704\pi$
$984$	31.7407	−	30.4322i	1.01186	−	0.970145i
$985$	60.2924			1.92108
$986$	0.0364904	−	0.0794398i	0.00116209	−	0.00252988i
$987$	−53.0816	+	11.0014i	−1.68961	+	0.350178i
$988$	−9.69956	−	11.2939i	−0.308584	−	0.359307i
$989$	−6.77473	−	3.91139i	−0.215424	−	0.124375i
$990$	5.11714	+	2.84276i	0.162633	+	0.0903489i
$991$	7.76132	+	13.4430i	0.246546	+	0.427031i	0.962565	−	0.271050i	$-0.0873709\pi$
$991$	7.76132	+	13.4430i	0.246546	+	0.427031i	−0.716019	+	0.698081i	$0.754038\pi$
$992$	−13.9400	−	27.7860i	−0.442596	−	0.882205i
$993$	−27.4239	+	14.4644i	−0.870271	+	0.459013i
$994$	17.1952	−	19.9410i	0.545397	−	0.632489i
$995$	−63.7917	+	36.8301i	−2.02233	+	1.16759i
$996$	8.74733	+	58.7693i	0.277170	+	1.86217i
$997$			55.2279i			1.74908i	0.484949	+	0.874542i	$0.338838\pi$
$997$			55.2279i			1.74908i	−0.484949	+	0.874542i	$0.661162\pi$
$998$	20.4455	−	44.5101i	0.647192	−	1.40894i
$999$	26.8839	+	19.9465i	0.850569	+	0.631078i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.w.a.205.14	✓	184
7.4	even	3		504.2.cq.a.277.75	yes	184
8.5	even	2	inner	504.2.w.a.205.49	yes	184
9.4	even	3		504.2.cq.a.373.75	yes	184
56.53	even	6		504.2.cq.a.277.76	yes	184
63.4	even	3	inner	504.2.w.a.445.49	yes	184
72.13	even	6		504.2.cq.a.373.76	yes	184
504.445	even	6	inner	504.2.w.a.445.14	yes	184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.w.a.205.14	✓	184	1.1	even	1	trivial
504.2.w.a.205.49	yes	184	8.5	even	2	inner
504.2.w.a.445.14	yes	184	504.445	even	6	inner
504.2.w.a.445.49	yes	184	63.4	even	3	inner
504.2.cq.a.277.75	yes	184	7.4	even	3
504.2.cq.a.277.76	yes	184	56.53	even	6
504.2.cq.a.373.75	yes	184	9.4	even	3
504.2.cq.a.373.76	yes	184	72.13	even	6

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	504.w (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.28512 - 0.590314i) q^{2} +(-1.73078 - 0.0662226i) q^{3} +(1.30306 + 1.51725i) q^{4} -2.85273i q^{5} +(2.18517 + 1.10681i) q^{6} +(-0.733697 + 2.54199i) q^{7} +(-0.778934 - 2.71906i) q^{8} +(2.99123 + 0.229234i) q^{9} +O(q^{10})\)	\(q+(-1.28512 - 0.590314i) q^{2} +(-1.73078 - 0.0662226i) q^{3} +(1.30306 + 1.51725i) q^{4} -2.85273i q^{5} +(2.18517 + 1.10681i) q^{6} +(-0.733697 + 2.54199i) q^{7} +(-0.778934 - 2.71906i) q^{8} +(2.99123 + 0.229234i) q^{9} +(-1.68401 + 3.66610i) q^{10} -0.483657i q^{11} +(-2.15484 - 2.71232i) q^{12} +(3.44766 - 1.99051i) q^{13} +(2.44346 - 2.83364i) q^{14} +(-0.188915 + 4.93746i) q^{15} +(-0.604074 + 3.95412i) q^{16} +(-0.112464 - 0.194794i) q^{17} +(-3.70876 - 2.06036i) q^{18} +(-1.61929 - 0.934898i) q^{19} +(4.32830 - 3.71728i) q^{20} +(1.43821 - 4.35104i) q^{21} +(-0.285509 + 0.621556i) q^{22} +0.964130 q^{23} +(1.16810 + 4.75768i) q^{24} -3.13808 q^{25} +(-5.60567 + 0.522836i) q^{26} +(-5.16199 - 0.594842i) q^{27} +(-4.81287 + 2.19916i) q^{28} +(-0.238002 - 0.137411i) q^{29} +(3.15743 - 6.23371i) q^{30} +(2.74770 - 4.75916i) q^{31} +(3.11048 - 4.72492i) q^{32} +(-0.0320290 + 0.837105i) q^{33} +(0.0295405 + 0.316723i) q^{34} +(7.25160 + 2.09304i) q^{35} +(3.54994 + 4.83714i) q^{36} +(-5.57924 - 3.22118i) q^{37} +(1.52910 + 2.15734i) q^{38} +(-6.09897 + 3.21682i) q^{39} +(-7.75674 + 2.22209i) q^{40} +(-4.48794 - 7.77334i) q^{41} +(-4.41675 + 4.74261i) q^{42} +(-7.02678 - 4.05691i) q^{43} +(0.733826 - 0.630233i) q^{44} +(0.653943 - 8.53317i) q^{45} +(-1.23902 - 0.569140i) q^{46} +(-5.91476 - 10.2447i) q^{47} +(1.30737 - 6.80373i) q^{48} +(-5.92338 - 3.73010i) q^{49} +(4.03280 + 1.85245i) q^{50} +(0.181752 + 0.344594i) q^{51} +(7.51259 + 2.63720i) q^{52} +(-5.22441 + 3.01631i) q^{53} +(6.28263 + 3.81164i) q^{54} -1.37974 q^{55} +(7.48330 + 0.0149256i) q^{56} +(2.74073 + 1.72534i) q^{57} +(0.224745 + 0.317085i) q^{58} +(8.81599 + 5.08991i) q^{59} +(-7.73752 + 6.14718i) q^{60} +(7.47832 - 4.31761i) q^{61} +(-6.34052 + 4.49408i) q^{62} +(-2.77737 + 7.43547i) q^{63} +(-6.78652 + 4.23593i) q^{64} +(-5.67838 - 9.83524i) q^{65} +(0.535316 - 1.05687i) q^{66} +(-6.56206 - 3.78861i) q^{67} +(0.149003 - 0.424464i) q^{68} +(-1.66870 - 0.0638472i) q^{69} +(-8.08362 - 6.97053i) q^{70} +7.03723 q^{71} +(-1.70667 - 8.31188i) q^{72} +(-2.35461 - 4.07831i) q^{73} +(5.26848 + 7.43310i) q^{74} +(5.43134 + 0.207812i) q^{75} +(-0.691561 - 3.67509i) q^{76} +(1.22945 + 0.354858i) q^{77} +(9.73683 - 0.533695i) q^{78} +(6.48778 + 11.2372i) q^{79} +(11.2801 + 1.72326i) q^{80} +(8.89490 + 1.37138i) q^{81} +(1.17882 + 12.6390i) q^{82} +(-14.8542 - 8.57606i) q^{83} +(8.47567 - 3.48755i) q^{84} +(-0.555695 + 0.320831i) q^{85} +(6.63539 + 9.36161i) q^{86} +(0.402831 + 0.253589i) q^{87} +(-1.31509 + 0.376736i) q^{88} +(-0.0916008 + 0.158657i) q^{89} +(-5.87765 + 10.5801i) q^{90} +(2.53030 + 10.2243i) q^{91} +(1.25632 + 1.46282i) q^{92} +(-5.07085 + 8.05512i) q^{93} +(1.55360 + 16.6572i) q^{94} +(-2.66701 + 4.61940i) q^{95} +(-5.69647 + 7.97184i) q^{96} +(-1.76540 + 3.05776i) q^{97} +(5.41031 + 8.29027i) q^{98} +(0.110871 - 1.44673i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) \) 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	\( 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} - 17 q^{12} - 7 q^{14} - 2 q^{15} + q^{16} - 4 q^{17} + 13 q^{18} + 6 q^{20} + 2 q^{22} - 4 q^{23} + 12 q^{24} - 156 q^{25} - 4 q^{26} - 8 q^{28} - 18 q^{30} + 2 q^{31} + q^{32} + 22 q^{33} - 18 q^{36} + 10 q^{38} - 14 q^{39} + 8 q^{40} - 4 q^{41} + 3 q^{42} + 17 q^{44} - 6 q^{46} + 42 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} - 18 q^{52} - 58 q^{54} + 4 q^{55} - 34 q^{56} - 20 q^{57} - 10 q^{58} + 26 q^{60} + 32 q^{62} + 50 q^{63} - 8 q^{64} + 22 q^{65} + 79 q^{66} + 24 q^{68} + 8 q^{70} - 16 q^{71} - 27 q^{72} - 4 q^{73} - 38 q^{74} - 6 q^{76} - 47 q^{78} + 2 q^{79} - 11 q^{80} + 6 q^{81} + q^{84} + 46 q^{86} + 4 q^{87} + 14 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} + 9 q^{94} + 22 q^{95} - 16 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) \) 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 - 17 * q^12 - 7 * q^14 - 2 * q^15 + q^16 - 4 * q^17 + 13 * q^18 + 6 * q^20 + 2 * q^22 - 4 * q^23 + 12 * q^24 - 156 * q^25 - 4 * q^26 - 8 * q^28 - 18 * q^30 + 2 * q^31 + q^32 + 22 * q^33 - 18 * q^36 + 10 * q^38 - 14 * q^39 + 8 * q^40 - 4 * q^41 + 3 * q^42 + 17 * q^44 - 6 * q^46 + 42 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 - 18 * q^52 - 58 * q^54 + 4 * q^55 - 34 * q^56 - 20 * q^57 - 10 * q^58 + 26 * q^60 + 32 * q^62 + 50 * q^63 - 8 * q^64 + 22 * q^65 + 79 * q^66 + 24 * q^68 + 8 * q^70 - 16 * q^71 - 27 * q^72 - 4 * q^73 - 38 * q^74 - 6 * q^76 - 47 * q^78 + 2 * q^79 - 11 * q^80 + 6 * q^81 + q^84 + 46 * q^86 + 4 * q^87 + 14 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 + 9 * q^94 + 22 * q^95 - 16 * q^96 - 4 * q^97 - 83 * q^98

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