LMFDB - Embedded newform 605.2.g.p.511.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [605,2,Mod(81,605)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(605, base_ring=CyclotomicField(10))

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

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

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

chi := DirichletCharacter("605.81");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 605 = 5 \cdot 11^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	605.g (of order $5$, degree $4$, not minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$4.83094932229$
Analytic rank:	$0$
Dimension:	$12$
Relative dimension:	$3$ over $\Q(\zeta_{5})$
Coefficient field:	$\mathbb{Q}[x]/(x^{12} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} - x^{11} + 6 x^{10} - 12 x^{9} + 43 x^{8} + 72 x^{7} + 155 x^{6} + 162 x^{5} + 541 x^{4} + \cdots + 1 $ x^12 - x^11 + 6x^10 - 12x^9 + 43x^8 + 72x^7 + 155x^6 + 162x^5 + 541x^4 + 114x^3 + 24x^2 + 5x + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			511.2
Root			$-1.33928 - 0.973045i$ of defining polynomial
Character	$\chi$	$=$	605.511
Dual form			605.2.g.p.251.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.431367 - 1.32761i) q^{2} +(1.33928 + 0.973045i) q^{3} +(0.0415626 - 0.0301970i) q^{4} +(-0.309017 + 0.951057i) q^{5} +(0.714103 - 2.19778i) q^{6} +(3.80789 - 2.76660i) q^{7} +(-2.31668 - 1.68317i) q^{8} +(-0.0801932 - 0.246809i) q^{9} +O(q^{10})$	\(q+(-0.431367 - 1.32761i) q^{2} +(1.33928 + 0.973045i) q^{3} +(0.0415626 - 0.0301970i) q^{4} +(-0.309017 + 0.951057i) q^{5} +(0.714103 - 2.19778i) q^{6} +(3.80789 - 2.76660i) q^{7} +(-2.31668 - 1.68317i) q^{8} +(-0.0801932 - 0.246809i) q^{9} +1.39593 q^{10} +0.0850471 q^{12} +(-1.56096 - 4.80414i) q^{13} +(-5.31556 - 3.86198i) q^{14} +(-1.33928 + 0.973045i) q^{15} +(-1.20350 + 3.70400i) q^{16} +(-1.64115 + 5.05095i) q^{17} +(-0.293074 + 0.212931i) q^{18} +(1.82798 + 1.32811i) q^{19} +(0.0158755 + 0.0488598i) q^{20} +7.79186 q^{21} +1.05137 q^{23} +(-1.46489 - 4.50847i) q^{24} +(-0.809017 - 0.587785i) q^{25} +(-5.70468 + 4.14469i) q^{26} +(1.66743 - 5.13184i) q^{27} +(0.0747231 - 0.229974i) q^{28} +(2.25867 - 1.64102i) q^{29} +(1.86955 + 1.35830i) q^{30} +(1.15587 + 3.55742i) q^{31} -0.290544 q^{32} +7.41363 q^{34} +(1.45449 + 4.47645i) q^{35} +(-0.0107859 - 0.00783644i) q^{36} +(0.640631 - 0.465446i) q^{37} +(0.974678 - 2.99975i) q^{38} +(2.58408 - 7.95298i) q^{39} +(2.31668 - 1.68317i) q^{40} +(-4.97879 - 3.61730i) q^{41} +(-3.36115 - 10.3446i) q^{42} +2.70682 q^{43} +0.259511 q^{45} +(-0.453528 - 1.39582i) q^{46} +(9.09268 + 6.60622i) q^{47} +(-5.21598 + 3.78963i) q^{48} +(4.68288 - 14.4124i) q^{49} +(-0.431367 + 1.32761i) q^{50} +(-7.11277 + 5.16773i) q^{51} +(-0.209948 - 0.152536i) q^{52} +(0.324893 + 0.999916i) q^{53} -7.53235 q^{54} -13.4783 q^{56} +(1.15587 + 3.55742i) q^{57} +(-3.15294 - 2.29075i) q^{58} +(-3.66675 + 2.66405i) q^{59} +(-0.0262810 + 0.0808846i) q^{60} +(-3.05348 + 9.39766i) q^{61} +(4.22426 - 3.06910i) q^{62} +(-0.988189 - 0.717961i) q^{63} +(2.53233 + 7.79372i) q^{64} +5.05137 q^{65} +10.4473 q^{67} +(0.0843130 + 0.259489i) q^{68} +(1.40809 + 1.02303i) q^{69} +(5.31556 - 3.86198i) q^{70} +(-0.324893 + 0.999916i) q^{71} +(-0.229639 + 0.706757i) q^{72} +(-8.17330 + 5.93825i) q^{73} +(-0.894278 - 0.649731i) q^{74} +(-0.511560 - 1.57442i) q^{75} +0.116081 q^{76} -11.6731 q^{78} +(2.90897 + 8.95290i) q^{79} +(-3.15081 - 2.28920i) q^{80} +(6.59682 - 4.79287i) q^{81} +(-2.65468 + 8.17028i) q^{82} +(0.974678 - 2.99975i) q^{83} +(0.323850 - 0.235291i) q^{84} +(-4.29660 - 3.12166i) q^{85} +(-1.16763 - 3.59360i) q^{86} +4.62177 q^{87} -12.5164 q^{89} +(-0.111944 - 0.344529i) q^{90} +(-19.2351 - 13.9751i) q^{91} +(0.0436979 - 0.0317484i) q^{92} +(-1.91348 + 5.88910i) q^{93} +(4.84820 - 14.9212i) q^{94} +(-1.82798 + 1.32811i) q^{95} +(-0.389120 - 0.282712i) q^{96} +(-5.49305 - 16.9059i) q^{97} -21.1541 q^{98} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q + q^{2} - q^{3} - 9 q^{4} + 3 q^{5} + 5 q^{6} - q^{7} - 9 q^{8} - 2 q^{9}+O(q^{10}) $ 12 * q + q^2 - q^3 - 9 * q^4 + 3 * q^5 + 5 * q^6 - q^7 - 9 * q^8 - 2 * q^9	$ 12 q + q^{2} - q^{3} - 9 q^{4} + 3 q^{5} + 5 q^{6} - q^{7} - 9 q^{8} - 2 q^{9} + 4 q^{10} + 36 q^{12} + 6 q^{13} - 5 q^{14} + q^{15} - 13 q^{16} + 4 q^{17} + 20 q^{18} + 4 q^{19} + 9 q^{20} + 68 q^{21} - 24 q^{23} + 17 q^{24} - 3 q^{25} - 12 q^{26} - 13 q^{27} - 25 q^{28} + 2 q^{29} - 5 q^{30} - 14 q^{31} + 108 q^{32} - 32 q^{34} + q^{35} - 2 q^{36} - 4 q^{37} + 18 q^{38} - 4 q^{39} + 9 q^{40} + 9 q^{41} + 35 q^{42} - 28 q^{43} - 8 q^{45} + 8 q^{46} + 15 q^{47} - 7 q^{48} - 18 q^{49} + q^{50} - 20 q^{51} + 2 q^{52} + 6 q^{53} - 76 q^{54} - 12 q^{56} - 14 q^{57} - 30 q^{58} - 10 q^{59} + 9 q^{60} + 3 q^{61} + 24 q^{62} - 12 q^{63} - 29 q^{64} + 24 q^{65} + 76 q^{67} + 8 q^{69} + 5 q^{70} - 6 q^{71} + 48 q^{72} - 12 q^{73} - 28 q^{74} - q^{75} - 64 q^{76} - 8 q^{78} + 2 q^{79} + 13 q^{80} - 3 q^{81} + 27 q^{82} + 18 q^{83} - 31 q^{84} - 4 q^{85} + 3 q^{86} - 40 q^{87} + 44 q^{89} - 20 q^{90} - 20 q^{91} + 34 q^{92} - 20 q^{93} - 59 q^{94} - 4 q^{95} - 7 q^{96} + 2 q^{97} - 144 q^{98}+O(q^{100}) $ 12 * q + q^2 - q^3 - 9 * q^4 + 3 * q^5 + 5 * q^6 - q^7 - 9 * q^8 - 2 * q^9 + 4 * q^10 + 36 * q^12 + 6 * q^13 - 5 * q^14 + q^15 - 13 * q^16 + 4 * q^17 + 20 * q^18 + 4 * q^19 + 9 * q^20 + 68 * q^21 - 24 * q^23 + 17 * q^24 - 3 * q^25 - 12 * q^26 - 13 * q^27 - 25 * q^28 + 2 * q^29 - 5 * q^30 - 14 * q^31 + 108 * q^32 - 32 * q^34 + q^35 - 2 * q^36 - 4 * q^37 + 18 * q^38 - 4 * q^39 + 9 * q^40 + 9 * q^41 + 35 * q^42 - 28 * q^43 - 8 * q^45 + 8 * q^46 + 15 * q^47 - 7 * q^48 - 18 * q^49 + q^50 - 20 * q^51 + 2 * q^52 + 6 * q^53 - 76 * q^54 - 12 * q^56 - 14 * q^57 - 30 * q^58 - 10 * q^59 + 9 * q^60 + 3 * q^61 + 24 * q^62 - 12 * q^63 - 29 * q^64 + 24 * q^65 + 76 * q^67 + 8 * q^69 + 5 * q^70 - 6 * q^71 + 48 * q^72 - 12 * q^73 - 28 * q^74 - q^75 - 64 * q^76 - 8 * q^78 + 2 * q^79 + 13 * q^80 - 3 * q^81 + 27 * q^82 + 18 * q^83 - 31 * q^84 - 4 * q^85 + 3 * q^86 - 40 * q^87 + 44 * q^89 - 20 * q^90 - 20 * q^91 + 34 * q^92 - 20 * q^93 - 59 * q^94 - 4 * q^95 - 7 * q^96 + 2 * q^97 - 144 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$122$	$486$
$\chi(n)$	$1$	$e\left(\frac{2}{5}\right)$

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 $

$2$	−0.431367	−	1.32761i	−0.305022	−	0.938762i	−0.979669	−	0.200621i	$-0.935704\pi$
$2$	−0.431367	−	1.32761i	−0.305022	−	0.938762i	0.674647	−	0.738141i	$-0.264296\pi$
$3$	1.33928	+	0.973045i	0.773234	+	0.561788i	0.902941	−	0.429765i	$-0.141404\pi$
$3$	1.33928	+	0.973045i	0.773234	+	0.561788i	−0.129707	+	0.991552i	$0.541404\pi$
$4$	0.0415626	−	0.0301970i	0.0207813	−	0.0150985i
$5$	−0.309017	+	0.951057i	−0.138197	+	0.425325i
$5$	−0.309017	+	0.951057i	−0.138197	+	0.425325i
$6$	0.714103	−	2.19778i	0.291531	−	0.897241i
$7$	3.80789	−	2.76660i	1.43925	−	1.04568i	0.451050	−	0.892499i	$-0.351050\pi$
$7$	3.80789	−	2.76660i	1.43925	−	1.04568i	0.988199	−	0.153177i	$-0.0489504\pi$
$8$	−2.31668	−	1.68317i	−0.819071	−	0.595090i
$9$	−0.0801932	−	0.246809i	−0.0267311	−	0.0822697i
$10$	1.39593			0.441432
$11$		0			0
$11$		0			0
$12$	0.0850471			0.0245510
$13$	−1.56096	−	4.80414i	−0.432933	−	1.33243i	−0.895190	−	0.445684i	$-0.852961\pi$
$13$	−1.56096	−	4.80414i	−0.432933	−	1.33243i	0.462258	−	0.886746i	$-0.347039\pi$
$14$	−5.31556	−	3.86198i	−1.42064	−	1.03216i
$15$	−1.33928	+	0.973045i	−0.345801	+	0.251239i
$16$	−1.20350	+	3.70400i	−0.300875	+	0.925999i
$17$	−1.64115	+	5.05095i	−0.398038	+	1.22504i	0.528532	+	0.848913i	$0.322743\pi$
$17$	−1.64115	+	5.05095i	−0.398038	+	1.22504i	−0.926570	+	0.376122i	$0.877257\pi$
$18$	−0.293074	+	0.212931i	−0.0690781	+	0.0501882i
$19$	1.82798	+	1.32811i	0.419368	+	0.304689i	0.777383	−	0.629027i	$-0.216547\pi$
$19$	1.82798	+	1.32811i	0.419368	+	0.304689i	−0.358016	+	0.933716i	$0.616547\pi$
$20$	0.0158755	+	0.0488598i	0.00354987	+	0.0109254i
$21$	7.79186			1.70032
$22$		0			0
$23$	1.05137			0.219227			0.109613	−	0.993974i	$-0.465039\pi$
$23$	1.05137			0.219227			0.109613	+	0.993974i	$0.465039\pi$
$24$	−1.46489	−	4.50847i	−0.299020	−	0.920288i
$25$	−0.809017	−	0.587785i	−0.161803	−	0.117557i
$26$	−5.70468	+	4.14469i	−1.11878	+	0.812841i
$27$	1.66743	−	5.13184i	0.320898	−	0.987622i
$28$	0.0747231	−	0.229974i	0.0141213	−	0.0434610i
$29$	2.25867	−	1.64102i	0.419424	−	0.304729i	−0.357982	−	0.933728i	$-0.616535\pi$
$29$	2.25867	−	1.64102i	0.419424	−	0.304729i	0.777406	+	0.628999i	$0.216535\pi$
$30$	1.86955	+	1.35830i	0.341331	+	0.247991i
$31$	1.15587	+	3.55742i	0.207601	+	0.638931i	0.999597	+	0.0284037i	$0.00904241\pi$
$31$	1.15587	+	3.55742i	0.207601	+	0.638931i	−0.791995	+	0.610527i	$0.790958\pi$
$32$	−0.290544			−0.0513614
$33$		0			0
$34$	7.41363			1.27143
$35$	1.45449	+	4.47645i	0.245853	+	0.756658i
$36$	−0.0107859	−	0.00783644i	−0.00179766	−	0.00130607i
$37$	0.640631	−	0.465446i	0.105319	−	0.0765188i	−0.533879	−	0.845561i	$-0.679266\pi$
$37$	0.640631	−	0.465446i	0.105319	−	0.0765188i	0.639198	+	0.769042i	$0.279266\pi$
$38$	0.974678	−	2.99975i	0.158114	−	0.486624i
$39$	2.58408	−	7.95298i	0.413784	−	1.27350i
$40$	2.31668	−	1.68317i	0.366300	−	0.266132i
$41$	−4.97879	−	3.61730i	−0.777556	−	0.564928i	0.126688	−	0.991943i	$-0.459565\pi$
$41$	−4.97879	−	3.61730i	−0.777556	−	0.564928i	−0.904245	+	0.427015i	$0.859565\pi$
$42$	−3.36115	−	10.3446i	−0.518637	−	1.59620i
$43$	2.70682			0.412786			0.206393	−	0.978469i	$-0.433828\pi$
$43$	2.70682			0.412786			0.206393	+	0.978469i	$0.433828\pi$
$44$		0			0
$45$	0.259511			0.0386855
$46$	−0.453528	−	1.39582i	−0.0668690	−	0.205802i
$47$	9.09268	+	6.60622i	1.32630	+	0.963616i	0.999831	+	0.0184095i	$0.00586025\pi$
$47$	9.09268	+	6.60622i	1.32630	+	0.963616i	0.326473	+	0.945207i	$0.394140\pi$
$48$	−5.21598	+	3.78963i	−0.752862	+	0.546986i
$49$	4.68288	−	14.4124i	0.668983	−	2.05892i
$50$	−0.431367	+	1.32761i	−0.0610045	+	0.187752i
$51$	−7.11277	+	5.16773i	−0.995987	+	0.723627i
$52$	−0.209948	−	0.152536i	−0.0291146	−	0.0211530i
$53$	0.324893	+	0.999916i	0.0446274	+	0.137349i	0.970888	−	0.239536i	$-0.0769952\pi$
$53$	0.324893	+	0.999916i	0.0446274	+	0.137349i	−0.926260	+	0.376885i	$0.876995\pi$
$54$	−7.53235			−1.02502
$55$		0			0
$56$	−13.4783			−1.80112
$57$	1.15587	+	3.55742i	0.153099	+	0.471191i
$58$	−3.15294	−	2.29075i	−0.414002	−	0.300790i
$59$	−3.66675	+	2.66405i	−0.477370	+	0.346830i	−0.800307	−	0.599591i	$-0.795330\pi$
$59$	−3.66675	+	2.66405i	−0.477370	+	0.346830i	0.322936	+	0.946421i	$0.395330\pi$
$60$	−0.0262810	+	0.0808846i	−0.00339286	+	0.0104422i
$61$	−3.05348	+	9.39766i	−0.390958	+	1.20325i	0.541106	+	0.840954i	$0.318006\pi$
$61$	−3.05348	+	9.39766i	−0.390958	+	1.20325i	−0.932065	+	0.362292i	$0.881994\pi$
$62$	4.22426	−	3.06910i	0.536481	−	0.389776i
$63$	−0.988189	−	0.717961i	−0.124500	−	0.0904546i
$64$	2.53233	+	7.79372i	0.316542	+	0.974215i
$65$	5.05137			0.626546
$66$		0			0
$67$	10.4473			1.27634			0.638171	−	0.769895i	$-0.279691\pi$
$67$	10.4473			1.27634			0.638171	+	0.769895i	$0.279691\pi$
$68$	0.0843130	+	0.259489i	0.0102245	+	0.0314676i
$69$	1.40809	+	1.02303i	0.169514	+	0.123159i
$70$	5.31556	−	3.86198i	0.635331	−	0.461595i
$71$	−0.324893	+	0.999916i	−0.0385576	+	0.118668i	−0.968483	−	0.249081i	$-0.919871\pi$
$71$	−0.324893	+	0.999916i	−0.0385576	+	0.118668i	0.929925	+	0.367749i	$0.119871\pi$
$72$	−0.229639	+	0.706757i	−0.0270633	+	0.0832922i
$73$	−8.17330	+	5.93825i	−0.956612	+	0.695019i	−0.952361	−	0.304972i	$-0.901353\pi$
$73$	−8.17330	+	5.93825i	−0.956612	+	0.695019i	−0.00425046	+	0.999991i	$0.501353\pi$
$74$	−0.894278	−	0.649731i	−0.103958	−	0.0755297i
$75$	−0.511560	−	1.57442i	−0.0590698	−	0.181798i
$76$	0.116081			0.0133154
$77$		0			0
$78$	−11.6731			−1.32172
$79$	2.90897	+	8.95290i	0.327285	+	1.00728i	0.970399	+	0.241509i	$0.0776423\pi$
$79$	2.90897	+	8.95290i	0.327285	+	1.00728i	−0.643114	+	0.765771i	$0.722358\pi$
$80$	−3.15081	−	2.28920i	−0.352271	−	0.255940i
$81$	6.59682	−	4.79287i	0.732980	−	0.532541i
$82$	−2.65468	+	8.17028i	−0.293161	+	0.902256i
$83$	0.974678	−	2.99975i	0.106985	−	0.329265i	−0.883206	−	0.468984i	$-0.844620\pi$
$83$	0.974678	−	2.99975i	0.106985	−	0.329265i	0.990191	+	0.139719i	$0.0446200\pi$
$84$	0.323850	−	0.235291i	0.0353350	−	0.0256724i
$85$	−4.29660	−	3.12166i	−0.466031	−	0.338592i
$86$	−1.16763	−	3.59360i	−0.125909	−	0.387508i
$87$	4.62177			0.495506
$88$		0			0
$89$	−12.5164			−1.32673			−0.663367	−	0.748294i	$-0.730873\pi$
$89$	−12.5164			−1.32673			−0.663367	+	0.748294i	$0.730873\pi$
$90$	−0.111944	−	0.344529i	−0.0118000	−	0.0363165i
$91$	−19.2351	−	13.9751i	−2.01639	−	1.46499i
$92$	0.0436979	−	0.0317484i	0.00455582	−	0.00331000i
$93$	−1.91348	+	5.88910i	−0.198419	+	0.610671i
$94$	4.84820	−	14.9212i	0.500054	−	1.53901i
$95$	−1.82798	+	1.32811i	−0.187547	+	0.136261i
$96$	−0.389120	−	0.282712i	−0.0397144	−	0.0288542i
$97$	−5.49305	−	16.9059i	−0.557735	−	1.71653i	−0.688609	−	0.725133i	$-0.741778\pi$
$97$	−5.49305	−	16.9059i	−0.557735	−	1.71653i	0.130874	−	0.991399i	$-0.458222\pi$
$98$	−21.1541			−2.13689
$99$		0			0
$100$	−0.0513742			−0.00513742
$101$	1.14000	+	3.50856i	0.113434	+	0.349114i	0.991617	−	0.129210i	$-0.0412442\pi$
$101$	1.14000	+	3.50856i	0.113434	+	0.349114i	−0.878183	+	0.478325i	$0.841244\pi$
$102$	9.92894	+	7.21380i	0.983111	+	0.714272i
$103$	0.0107859	−	0.00783644i	0.00106277	−	0.000772148i	−0.587254	−	0.809403i	$-0.699791\pi$
$103$	0.0107859	−	0.00783644i	0.00106277	−	0.000772148i	0.588317	+	0.808631i	$0.299791\pi$
$104$	−4.46993	+	13.7570i	−0.438313	+	1.34899i
$105$	−2.40782	+	7.41050i	−0.234979	+	0.723191i
$106$	1.18735	−	0.862661i	0.115326	−	0.0837891i
$107$	9.42945	+	6.85090i	0.911579	+	0.662301i	0.941414	−	0.337254i	$-0.109498\pi$
$107$	9.42945	+	6.85090i	0.911579	+	0.662301i	−0.0298344	+	0.999555i	$0.509498\pi$
$108$	−0.0856632	−	0.263644i	−0.00824294	−	0.0253692i
$109$	−12.9460			−1.24000			−0.620000	−	0.784602i	$-0.712868\pi$
$109$	−12.9460			−1.24000			−0.620000	+	0.784602i	$0.712868\pi$
$110$		0			0
$111$	1.31088			0.124424
$112$	5.66466	+	17.4340i	0.535260	+	1.64736i
$113$	13.4473	+	9.77003i	1.26502	+	0.919087i	0.998992	−	0.0448796i	$-0.0142904\pi$
$113$	13.4473	+	9.77003i	1.26502	+	0.919087i	0.266023	+	0.963967i	$0.414290\pi$
$114$	4.22426	−	3.06910i	0.395638	−	0.287448i
$115$	−0.324893	+	0.999916i	−0.0302964	+	0.0932427i
$116$	0.0443223	−	0.136410i	0.00411522	−	0.0126653i
$117$	−1.06053	+	0.770519i	−0.0980459	+	0.0712345i
$118$	5.11853	+	3.71883i	0.471199	+	0.342346i
$119$	7.72461	+	23.7739i	0.708114	+	2.17935i
$120$	4.74049			0.432746
$121$		0			0
$122$	13.7936			1.24881
$123$	−3.14820	−	9.68917i	−0.283864	−	0.873643i
$124$	0.155465	+	0.112952i	0.0139611	+	0.0101434i
$125$	0.809017	−	0.587785i	0.0723607	−	0.0525731i
$126$	−0.526901	+	1.62163i	−0.0469401	+	0.144467i
$127$	1.28998	−	3.97015i	0.114467	−	0.352294i	−0.877368	−	0.479818i	$-0.840703\pi$
$127$	1.28998	−	3.97015i	0.114467	−	0.352294i	0.991836	+	0.127524i	$0.0407029\pi$
$128$	8.78455	−	6.38235i	0.776452	−	0.564125i
$129$	3.62519	+	2.63385i	0.319180	+	0.231898i
$130$	−2.17899	−	6.70626i	−0.191110	−	0.588178i
$131$	−8.88128			−0.775961			−0.387981	−	0.921668i	$-0.626827\pi$
$131$	−8.88128			−0.775961			−0.387981	+	0.921668i	$0.626827\pi$
$132$		0			0
$133$	10.6351			0.922180
$134$	−4.50662	−	13.8699i	−0.389313	−	1.19818i
$135$	4.36540	+	3.17165i	0.375714	+	0.272972i
$136$	12.3036	−	8.93912i	1.05503	−	0.766523i
$137$	0.240579	−	0.740428i	0.0205541	−	0.0632590i	−0.940253	−	0.340476i	$-0.889412\pi$
$137$	0.240579	−	0.740428i	0.0205541	−	0.0632590i	0.960807	+	0.277217i	$0.0894119\pi$
$138$	0.750789	−	2.31069i	0.0639114	−	0.196699i
$139$	−7.10198	+	5.15989i	−0.602382	+	0.437656i	−0.846724	−	0.532033i	$-0.821428\pi$
$139$	−7.10198	+	5.15989i	−0.602382	+	0.437656i	0.244341	+	0.969689i	$0.421428\pi$
$140$	0.195628	+	0.142132i	0.0165336	+	0.0120123i
$141$	5.74951	+	17.6952i	0.484196	+	1.49020i
$142$	1.46765			0.123162
$143$		0			0
$144$	1.01069			0.0842244
$145$	0.862733	+	2.65522i	0.0716461	+	0.220504i
$146$	11.4094	+	8.28939i	0.944246	+	0.686035i
$147$	20.2956	−	14.7456i	1.67396	−	1.21620i
$148$	0.0125712	−	0.0386903i	0.00103335	−	0.00318032i
$149$	−3.10605	+	9.55942i	−0.254457	+	0.783139i	0.739479	+	0.673180i	$0.235072\pi$
$149$	−3.10605	+	9.55942i	−0.254457	+	0.783139i	−0.993936	+	0.109959i	$0.964928\pi$
$150$	−1.86955	+	1.35830i	−0.152648	+	0.110905i
$151$	8.60398	+	6.25116i	0.700182	+	0.508712i	0.879991	−	0.474990i	$-0.157548\pi$
$151$	8.60398	+	6.25116i	0.700182	+	0.508712i	−0.179810	+	0.983701i	$0.557548\pi$
$152$	−1.99943	−	6.15361i	−0.162175	−	0.499123i
$153$	1.37823			0.111423
$154$		0			0
$155$	−3.74049			−0.300443
$156$	−0.132755	−	0.408578i	−0.0106289	−	0.0327124i
$157$	0.419897	+	0.305073i	0.0335114	+	0.0243475i	0.604415	−	0.796670i	$-0.293407\pi$
$157$	0.419897	+	0.305073i	0.0335114	+	0.0243475i	−0.570903	+	0.821017i	$0.693407\pi$
$158$	10.6311	−	7.72396i	0.845767	−	0.614485i
$159$	−0.537841	+	1.65530i	−0.0426536	+	0.131274i
$160$	0.0897831	−	0.276324i	0.00709797	−	0.0218453i
$161$	4.00352	−	2.90873i	0.315522	−	0.229240i
$162$	−9.20872	−	6.69052i	−0.723505	−	0.525657i
$163$	6.10150	+	18.7785i	0.477906	+	1.47084i	0.841998	+	0.539481i	$0.181379\pi$
$163$	6.10150	+	18.7785i	0.477906	+	1.47084i	−0.364092	+	0.931363i	$0.618621\pi$
$164$	−0.316163			−0.0246882
$165$		0			0
$166$	−4.40294			−0.341734
$167$	−0.560002	−	1.72351i	−0.0433343	−	0.133369i	0.927049	−	0.374941i	$-0.122337\pi$
$167$	−0.560002	−	1.72351i	−0.0433343	−	0.133369i	−0.970383	+	0.241572i	$0.922337\pi$
$168$	−18.0513	−	13.1150i	−1.39269	−	1.01185i
$169$	−10.1260	+	7.35694i	−0.778920	+	0.565919i
$170$	−2.29094	+	7.05078i	−0.175707	+	0.540770i
$171$	0.181197	−	0.557668i	0.0138565	−	0.0426459i
$172$	0.112502	−	0.0817378i	0.00857823	−	0.00623245i
$173$	3.66675	+	2.66405i	0.278778	+	0.202544i	0.718384	−	0.695647i	$-0.244882\pi$
$173$	3.66675	+	2.66405i	0.278778	+	0.202544i	−0.439606	+	0.898191i	$0.644882\pi$
$174$	−1.99368	−	6.13591i	−0.151140	−	0.465162i
$175$	−4.70682			−0.355802
$176$		0			0
$177$	−7.50305			−0.563964
$178$	5.39915	+	16.6169i	0.404683	+	1.24549i
$179$	−0.336772	−	0.244679i	−0.0251715	−	0.0182882i	0.575128	−	0.818063i	$-0.304952\pi$
$179$	−0.336772	−	0.244679i	−0.0251715	−	0.0182882i	−0.600300	+	0.799775i	$0.704952\pi$
$180$	0.0107859	−	0.00783644i	0.000803937	−	0.000584094i
$181$	−1.17175	+	3.60628i	−0.0870955	+	0.268052i	−0.985113	−	0.171907i	$-0.945007\pi$
$181$	−1.17175	+	3.60628i	−0.0870955	+	0.268052i	0.898018	+	0.439959i	$0.145007\pi$
$182$	−10.2561	+	31.5651i	−0.760235	+	2.33976i
$183$	−13.2338	+	9.61493i	−0.978271	+	0.710756i
$184$	−2.43570	−	1.76964i	−0.179562	−	0.130460i
$185$	0.244699	+	0.753107i	0.0179907	+	0.0553695i
$186$	8.64384			0.633797
$187$		0			0
$188$	0.577404			0.0421115
$189$	−7.84831	−	24.1546i	−0.570880	−	1.75699i
$190$	2.55174	+	1.85395i	0.185123	+	0.134499i
$191$	−15.9990	+	11.6240i	−1.15765	+	0.841082i	−0.989479	−	0.144676i	$-0.953786\pi$
$191$	−15.9990	+	11.6240i	−1.15765	+	0.841082i	−0.168170	+	0.985758i	$0.553786\pi$
$192$	−4.19213	+	12.9021i	−0.302541	+	0.931126i
$193$	2.48308	−	7.64212i	0.178736	−	0.550092i	−0.821049	−	0.570858i	$-0.806611\pi$
$193$	2.48308	−	7.64212i	0.178736	−	0.550092i	0.999784	+	0.0207663i	$0.00661058\pi$
$194$	−20.0749	+	14.5853i	−1.44129	+	1.04716i
$195$	6.76521	+	4.91521i	0.484467	+	0.351986i
$196$	−0.240579	−	0.740428i	−0.0171842	−	0.0528877i
$197$	14.7919			1.05388			0.526938	−	0.849904i	$-0.323340\pi$
$197$	14.7919			1.05388			0.526938	+	0.849904i	$0.323340\pi$
$198$		0			0
$199$	−9.16745			−0.649864			−0.324932	−	0.945737i	$-0.605341\pi$
$199$	−9.16745			−0.649864			−0.324932	+	0.945737i	$0.605341\pi$
$200$	0.884894	+	2.72343i	0.0625715	+	0.192575i
$201$	13.9919	+	10.1657i	0.986911	+	0.717033i
$202$	4.16624	−	3.02695i	0.293135	−	0.212975i
$203$	4.06073	−	12.4976i	0.285007	−	0.877162i
$204$	−0.139575	+	0.429569i	−0.00977223	+	0.0300758i
$205$	4.97879	−	3.61730i	0.347734	−	0.252643i
$206$	−0.0150564	−	0.0109391i	−0.00104903	−	0.000762166i
$207$	−0.0843130	−	0.259489i	−0.00586016	−	0.0180357i
$208$	19.6731			1.36409
$209$		0			0
$210$	10.8769			0.750578
$211$	2.71272	+	8.34888i	0.186751	+	0.574761i	0.999974	−	0.00719146i	$-0.00228913\pi$
$211$	2.71272	+	8.34888i	0.186751	+	0.574761i	−0.813223	+	0.581952i	$0.802289\pi$
$212$	0.0436979	+	0.0317484i	0.00300118	+	0.00218049i
$213$	−1.40809	+	1.02303i	−0.0964804	+	0.0700971i
$214$	5.02777	−	15.4739i	0.343691	−	1.05777i
$215$	−0.836452	+	2.57434i	−0.0570456	+	0.175568i
$216$	−12.5007	+	9.08227i	−0.850563	+	0.617970i
$217$	14.2434	+	10.3484i	0.966904	+	0.702497i
$218$	5.58447	+	17.1872i	0.378228	+	1.16407i
$219$	−16.7245			−1.13014
$220$		0			0
$221$	26.8273			1.80460
$222$	−0.565472	−	1.74034i	−0.0379520	−	0.116804i
$223$	−19.2602	−	13.9934i	−1.28976	−	0.937065i	−0.289958	−	0.957039i	$-0.593641\pi$
$223$	−19.2602	−	13.9934i	−1.28976	−	0.937065i	−0.999800	+	0.0199746i	$0.993641\pi$
$224$	−1.10636	+	0.803818i	−0.0739219	+	0.0537074i
$225$	−0.0801932	+	0.246809i	−0.00534621	+	0.0164539i
$226$	7.17008	−	22.0672i	0.476946	−	1.46789i
$227$	6.90635	−	5.01776i	0.458391	−	0.333040i	−0.334509	−	0.942393i	$-0.608570\pi$
$227$	6.90635	−	5.01776i	0.458391	−	0.333040i	0.792900	+	0.609352i	$0.208570\pi$
$228$	0.155465	+	0.112952i	0.0102959	+	0.00748041i
$229$	−4.58269	−	14.1041i	−0.302833	−	0.932024i	−0.980477	−	0.196634i	$-0.936999\pi$
$229$	−4.58269	−	14.1041i	−0.302833	−	0.932024i	0.677644	−	0.735390i	$-0.263001\pi$
$230$	1.46765			0.0967738
$231$		0			0
$232$	−7.99472			−0.524879
$233$	1.96605	+	6.05087i	0.128800	+	0.396406i	0.994574	−	0.104029i	$-0.0331735\pi$
$233$	1.96605	+	6.05087i	0.128800	+	0.396406i	−0.865774	+	0.500435i	$0.833174\pi$
$234$	1.48042	+	1.07559i	0.0967784	+	0.0703136i
$235$	−9.09268	+	6.60622i	−0.593141	+	0.430942i
$236$	−0.0719534	+	0.221450i	−0.00468377	+	0.0144152i
$237$	−4.81564	+	14.8210i	−0.312809	+	0.962728i
$238$	28.2303	−	20.5105i	1.82990	−	1.32950i
$239$	−3.78279	−	2.74836i	−0.244688	−	0.177776i	0.458681	−	0.888601i	$-0.348322\pi$
$239$	−3.78279	−	2.74836i	−0.244688	−	0.177776i	−0.703369	+	0.710825i	$0.748322\pi$
$240$	−1.99233	−	6.13175i	−0.128604	−	0.395803i
$241$	−7.63510			−0.491820			−0.245910	−	0.969293i	$-0.579087\pi$
$241$	−7.63510			−0.491820			−0.245910	+	0.969293i	$0.579087\pi$
$242$		0			0
$243$	−2.68912			−0.172507
$244$	0.156870	+	0.482797i	0.0100426	+	0.0309079i
$245$	12.2599	+	8.90737i	0.783259	+	0.569071i
$246$	−11.5054	+	8.35917i	−0.733558	+	0.532961i
$247$	3.52701	−	10.8550i	0.224418	−	0.690688i
$248$	3.30994	−	10.1869i	0.210181	−	0.646872i
$249$	4.22426	−	3.06910i	0.267701	−	0.194496i
$250$	−1.12933	−	0.820508i	−0.0714253	−	0.0518935i
$251$	−6.63224	−	20.4119i	−0.418623	−	1.28839i	−0.908970	−	0.416862i	$-0.863130\pi$
$251$	−6.63224	−	20.4119i	−0.418623	−	1.28839i	0.490347	−	0.871527i	$-0.336870\pi$
$252$	−0.0627520			−0.00395301
$253$		0			0
$254$	−5.82727			−0.365635
$255$	−2.71684	−	8.36156i	−0.170135	−	0.523621i
$256$	0.996839	+	0.724246i	0.0623025	+	0.0452654i
$257$	−13.6243	+	9.89866i	−0.849862	+	0.617461i	−0.925108	−	0.379704i	$-0.876026\pi$
$257$	−13.6243	+	9.89866i	−0.849862	+	0.617461i	0.0752457	+	0.997165i	$0.476026\pi$
$258$	1.93294	−	5.94899i	0.120340	−	0.370368i
$259$	1.15175	−	3.54474i	0.0715666	−	0.220259i
$260$	0.209948	−	0.152536i	0.0130204	−	0.00945991i
$261$	−0.586147	−	0.425861i	−0.0362816	−	0.0263601i
$262$	3.83109	+	11.7909i	0.236685	+	0.728443i
$263$	−11.2215			−0.691945			−0.345973	−	0.938245i	$-0.612451\pi$
$263$	−11.2215			−0.691945			−0.345973	+	0.938245i	$0.612451\pi$
$264$		0			0
$265$	−1.05137			−0.0645854
$266$	−4.58763	−	14.1193i	−0.281286	−	0.865708i
$267$	−16.7630	−	12.1790i	−1.02588	−	0.745343i
$268$	0.434218	−	0.315478i	0.0265241	−	0.0192709i
$269$	−3.84014	+	11.8187i	−0.234138	+	0.720602i	0.763097	+	0.646284i	$0.223678\pi$
$269$	−3.84014	+	11.8187i	−0.234138	+	0.720602i	−0.997235	+	0.0743176i	$0.976322\pi$
$270$	2.32763	−	7.16369i	0.141655	−	0.435969i
$271$	14.4247	−	10.4802i	0.876238	−	0.636624i	−0.0560156	−	0.998430i	$-0.517840\pi$
$271$	14.4247	−	10.4802i	0.876238	−	0.636624i	0.932253	+	0.361806i	$0.117840\pi$
$272$	−16.7336	−	12.1577i	−1.01462	−	0.737166i
$273$	−12.1628	−	37.4332i	−0.736126	−	2.26556i
$274$	−1.08678			−0.0656546
$275$		0			0
$276$	0.0894163			0.00538223
$277$	5.31761	+	16.3659i	0.319504	+	0.983332i	0.973861	+	0.227146i	$0.0729395\pi$
$277$	5.31761	+	16.3659i	0.319504	+	0.983332i	−0.654357	+	0.756186i	$0.727060\pi$
$278$	9.91388	+	7.20286i	0.594595	+	0.431999i
$279$	0.785310	−	0.570561i	0.0470153	−	0.0341586i
$280$	4.16504	−	12.8187i	0.248909	−	0.766062i
$281$	8.16145	−	25.1183i	0.486871	−	1.49844i	−0.342382	−	0.939561i	$-0.611234\pi$
$281$	8.16145	−	25.1183i	0.486871	−	1.49844i	0.829253	−	0.558874i	$-0.188766\pi$
$282$	21.0121	−	15.2662i	1.25125	−	0.909090i
$283$	−14.7866	−	10.7431i	−0.878971	−	0.638610i	0.0540083	−	0.998540i	$-0.482800\pi$
$283$	−14.7866	−	10.7431i	−0.878971	−	0.638610i	−0.932979	+	0.359931i	$0.882800\pi$
$284$	0.0166911	+	0.0513699i	0.000990435	+	0.00304825i
$285$	−3.74049			−0.221567
$286$		0			0
$287$	−28.9663			−1.70983
$288$	0.0232996	+	0.0717089i	0.00137294	+	0.00422549i
$289$	−9.06544	−	6.58643i	−0.533261	−	0.387437i
$290$	3.15294	−	2.29075i	0.185147	−	0.134517i
$291$	9.09343	−	27.9867i	0.533066	−	1.64061i
$292$	−0.160386	+	0.493618i	−0.00938590	+	0.0288868i
$293$	−20.7371	+	15.0664i	−1.21147	+	0.880188i	−0.995364	−	0.0961814i	$-0.969337\pi$
$293$	−20.7371	+	15.0664i	−1.21147	+	0.880188i	−0.216110	+	0.976369i	$0.569337\pi$
$294$	−28.3313	−	20.5839i	−1.65232	−	1.20048i
$295$	−1.40057	−	4.31052i	−0.0815446	−	0.250968i
$296$	−2.26756			−0.131799
$297$		0			0
$298$	14.0310			0.812796
$299$	−1.64115	−	5.05095i	−0.0949104	−	0.292104i
$300$	−0.0688045	−	0.0499894i	−0.00397243	−	0.00288614i
$301$	10.3073	−	7.48867i	0.594101	−	0.431640i
$302$	4.58763	−	14.1193i	0.263988	−	0.812473i
$303$	−1.88720	+	5.80821i	−0.108417	+	0.333673i
$304$	−7.11928	+	5.17246i	−0.408319	+	0.296661i
$305$	−7.99412	−	5.80807i	−0.457742	−	0.332569i
$306$	−0.594523	−	1.82975i	−0.0339866	−	0.104600i
$307$	27.3596			1.56150			0.780748	−	0.624846i	$-0.214838\pi$
$307$	27.3596			1.56150			0.780748	+	0.624846i	$0.214838\pi$
$308$		0			0
$309$	0.0220706			0.00125555
$310$	1.61352	+	4.96591i	0.0916419	+	0.282045i
$311$	−15.7783	−	11.4636i	−0.894705	−	0.650041i	0.0423953	−	0.999101i	$-0.486501\pi$
$311$	−15.7783	−	11.4636i	−0.894705	−	0.650041i	−0.937101	+	0.349060i	$0.886501\pi$
$312$	−19.3727	+	14.0751i	−1.09676	+	0.796845i
$313$	−2.32844	+	7.16620i	−0.131611	+	0.405058i	−0.995048	−	0.0994001i	$-0.968308\pi$
$313$	−2.32844	+	7.16620i	−0.131611	+	0.405058i	0.863436	+	0.504458i	$0.168308\pi$
$314$	0.223888	−	0.689058i	0.0126348	−	0.0388858i
$315$	0.988189	−	0.717961i	0.0556781	−	0.0404525i
$316$	0.391255	+	0.284264i	0.0220098	+	0.0159911i
$317$	−3.57957	−	11.0168i	−0.201049	−	0.618764i	−0.999853	−	0.0171725i	$-0.994534\pi$
$317$	−3.57957	−	11.0168i	−0.201049	−	0.618764i	0.798804	−	0.601591i	$-0.205466\pi$
$318$	2.42960			0.136245
$319$		0			0
$320$	−8.19480			−0.458103
$321$	5.96246	+	18.3506i	0.332792	+	1.02423i
$322$	−5.58864	−	4.06039i	−0.311443	−	0.226277i
$323$	−9.70820	+	7.05342i	−0.540179	+	0.392463i
$324$	0.129451	−	0.398409i	0.00719172	−	0.0221338i
$325$	−1.56096	+	4.80414i	−0.0865865	+	0.266486i
$326$	22.2985	−	16.2008i	1.23500	−	0.897280i
$327$	−17.3383	−	12.5970i	−0.958811	−	0.696617i
$328$	5.44575	+	16.7603i	0.300691	+	0.925432i
$329$	52.9007			2.91651
$330$		0			0
$331$	18.5324			1.01863			0.509315	−	0.860580i	$-0.329899\pi$
$331$	18.5324			1.01863			0.509315	+	0.860580i	$0.329899\pi$
$332$	−0.0500733	−	0.154110i	−0.00274813	−	0.00845788i
$333$	−0.166251	−	0.120788i	−0.00911047	−	0.00661915i
$334$	−2.04658	+	1.48693i	−0.111984	+	0.0813611i
$335$	−3.22840	+	9.93598i	−0.176386	+	0.542860i
$336$	−9.37752	+	28.8610i	−0.511586	+	1.57450i
$337$	−6.20770	+	4.51016i	−0.338155	+	0.245684i	−0.743883	−	0.668310i	$-0.767018\pi$
$337$	−6.20770	+	4.51016i	−0.338155	+	0.245684i	0.405728	+	0.913994i	$0.367018\pi$
$338$	14.1352	+	10.2698i	0.768851	+	0.558603i
$339$	8.50303	+	26.1696i	0.461821	+	1.42134i
$340$	−0.272843			−0.0147970
$341$		0			0
$342$	−0.818528			−0.0442609
$343$	−11.8601	−	36.5015i	−0.640383	−	1.97090i
$344$	−6.27084	−	4.55603i	−0.338101	−	0.245645i
$345$	−1.40809	+	1.02303i	−0.0758088	+	0.0550783i
$346$	1.95511	−	6.01720i	0.105107	−	0.323487i
$347$	8.71051	−	26.8082i	0.467605	−	1.43914i	−0.388073	−	0.921629i	$-0.626859\pi$
$347$	8.71051	−	26.8082i	0.467605	−	1.43914i	0.855677	−	0.517510i	$-0.173141\pi$
$348$	0.192093	−	0.139564i	0.0102973	−	0.00748140i
$349$	7.19589	+	5.22812i	0.385187	+	0.279855i	0.763481	−	0.645831i	$-0.223489\pi$
$349$	7.19589	+	5.22812i	0.385187	+	0.279855i	−0.378293	+	0.925686i	$0.623489\pi$
$350$	2.03036	+	6.24882i	0.108528	+	0.334013i
$351$	−27.2569			−1.45486
$352$		0			0
$353$	−28.0221			−1.49146			−0.745732	−	0.666246i	$-0.767900\pi$
$353$	−28.0221			−1.49146			−0.745732	+	0.666246i	$0.767900\pi$
$354$	3.23657	+	9.96112i	0.172022	+	0.529428i
$355$	−0.850580	−	0.617982i	−0.0451441	−	0.0327991i
$356$	−0.520214	+	0.377957i	−0.0275713	+	0.0200317i
$357$	−12.7876	+	39.3563i	−0.676794	+	2.08296i
$358$	−0.179566	+	0.552648i	−0.00949036	+	0.0292083i
$359$	9.10700	−	6.61662i	0.480649	−	0.349212i	−0.320928	−	0.947104i	$-0.603995\pi$
$359$	9.10700	−	6.61662i	0.480649	−	0.349212i	0.801577	+	0.597892i	$0.203995\pi$
$360$	−0.601204	−	0.436800i	−0.0316862	−	0.0230214i
$361$	−4.29367	−	13.2146i	−0.225983	−	0.695503i
$362$	5.29318			0.278204
$363$		0			0
$364$	−1.22147			−0.0640223
$365$	−3.12192	−	9.60828i	−0.163409	−	0.502921i
$366$	18.4735	+	13.4218i	0.965625	+	0.701568i
$367$	−4.49222	+	3.26379i	−0.234492	+	0.170369i	−0.698826	−	0.715292i	$-0.746294\pi$
$367$	−4.49222	+	3.26379i	−0.234492	+	0.170369i	0.464334	+	0.885660i	$0.346294\pi$
$368$	−1.26533	+	3.89429i	−0.0659599	+	0.203004i
$369$	−0.493519	+	1.51889i	−0.0256915	+	0.0790705i
$370$	0.894278	−	0.649731i	0.0464913	−	0.0337779i
$371$	4.00352	+	2.90873i	0.207853	+	0.151014i
$372$	0.0983038	+	0.302548i	0.00509681	+	0.0156864i
$373$	6.80520			0.352360			0.176180	−	0.984358i	$-0.443626\pi$
$373$	6.80520			0.352360			0.176180	+	0.984358i	$0.443626\pi$
$374$		0			0
$375$	1.65544			0.0854867
$376$	−9.94548	−	30.6090i	−0.512899	−	1.57854i
$377$	−11.4094	−	8.28939i	−0.587612	−	0.426925i
$378$	−28.6824	+	20.8390i	−1.47526	+	1.07184i
$379$	−3.87953	+	11.9400i	−0.199278	+	0.613315i	0.800622	+	0.599170i	$0.204503\pi$
$379$	−3.87953	+	11.9400i	−0.199278	+	0.613315i	−0.999900	+	0.0141449i	$0.995497\pi$
$380$	−0.0358709	+	0.110399i	−0.00184014	+	0.00566336i
$381$	5.59078	−	4.06194i	0.286424	−	0.208099i
$382$	22.3336	+	16.2263i	1.14268	+	0.830209i
$383$	−11.3318	−	34.8757i	−0.579028	−	1.78207i	−0.622033	−	0.782991i	$-0.713693\pi$
$383$	−11.3318	−	34.8757i	−0.579028	−	1.78207i	0.0430043	−	0.999075i	$-0.486307\pi$
$384$	17.9753			0.917298
$385$		0			0
$386$	−11.2169			−0.570924
$387$	−0.217068	−	0.668067i	−0.0110342	−	0.0339598i
$388$	−0.738813	−	0.536779i	−0.0375075	−	0.0272508i
$389$	−5.56494	+	4.04316i	−0.282154	+	0.204997i	−0.719856	−	0.694123i	$-0.755792\pi$
$389$	−5.56494	+	4.04316i	−0.282154	+	0.204997i	0.437703	+	0.899120i	$0.355792\pi$
$390$	3.60720	−	11.1018i	0.182658	−	0.562162i
$391$	−1.72547	+	5.31044i	−0.0872606	+	0.268561i
$392$	−35.1073	+	25.5070i	−1.77319	+	1.28830i
$393$	−11.8945	−	8.64188i	−0.600000	−	0.435925i
$394$	−6.38072	−	19.6378i	−0.321456	−	0.989339i
$395$	−9.41363			−0.473651
$396$		0			0
$397$	37.7626			1.89525			0.947624	−	0.319387i	$-0.103477\pi$
$397$	37.7626			1.89525			0.947624	+	0.319387i	$0.103477\pi$
$398$	3.95453	+	12.1708i	0.198223	+	0.610067i
$399$	14.2434	+	10.3484i	0.713061	+	0.518069i
$400$	3.15081	−	2.28920i	0.157540	−	0.114460i
$401$	5.93482	−	18.2655i	0.296371	−	0.912136i	−0.686386	−	0.727237i	$-0.740804\pi$
$401$	5.93482	−	18.2655i	0.296371	−	0.912136i	0.982757	−	0.184899i	$-0.0591959\pi$
$402$	7.46045	−	22.9609i	0.372093	−	1.14519i
$403$	15.2861	−	11.1060i	0.761453	−	0.553228i
$404$	0.153329	+	0.111400i	0.00762842	+	0.00554237i
$405$	2.51976	+	7.75503i	0.125208	+	0.385351i
$406$	−18.3436			−0.910380
$407$		0			0
$408$	25.1762			1.24641
$409$	8.37933	+	25.7889i	0.414331	+	1.27518i	0.912848	+	0.408300i	$0.133878\pi$
$409$	8.37933	+	25.7889i	0.414331	+	1.27518i	−0.498517	+	0.866880i	$0.666122\pi$
$410$	−6.95005	−	5.04951i	−0.343239	−	0.249377i
$411$	1.04267	−	0.757546i	0.0514312	−	0.0373670i
$412$	0.000211655	0	0.000651407i	1.04275e−5	0	3.20925e-5i
$413$	−6.59225	+	20.2888i	−0.324383	+	0.998349i
$414$	−0.308130	+	0.223870i	−0.0151438	+	0.0110026i
$415$	2.55174	+	1.85395i	0.125260	+	0.0910067i
$416$	0.453528	+	1.39582i	0.0222360	+	0.0684355i
$417$	−14.5324			−0.711652
$418$		0			0
$419$	11.9106			0.581870			0.290935	−	0.956743i	$-0.406034\pi$
$419$	11.9106			0.581870			0.290935	+	0.956743i	$0.406034\pi$
$420$	0.123700	+	0.380709i	0.00603593	+	0.0185767i
$421$	2.58252	+	1.87631i	0.125864	+	0.0914456i	0.648936	−	0.760843i	$-0.275214\pi$
$421$	2.58252	+	1.87631i	0.125864	+	0.0914456i	−0.523072	+	0.852288i	$0.675214\pi$
$422$	9.91388	−	7.20286i	0.482600	−	0.350630i
$423$	0.901305	−	2.77393i	0.0438229	−	0.134873i
$424$	0.930355	−	2.86334i	0.0451820	−	0.139056i
$425$	4.29660	−	3.12166i	0.208416	−	0.151423i
$426$	1.96559	+	1.42809i	0.0952332	+	0.0691910i
$427$	14.3722	+	44.2330i	0.695519	+	2.14059i
$428$	0.598790			0.0289436
$429$		0			0
$430$	3.77853			0.182217
$431$	−11.1356	−	34.2717i	−0.536381	−	1.65081i	−0.740647	−	0.671895i	$-0.765481\pi$
$431$	−11.1356	−	34.2717i	−0.536381	−	1.65081i	0.204266	−	0.978915i	$-0.434519\pi$
$432$	17.0015	+	12.3523i	0.817987	+	0.594302i
$433$	20.9363	−	15.2111i	1.00613	−	0.730998i	0.0427381	−	0.999086i	$-0.486392\pi$
$433$	20.9363	−	15.2111i	1.00613	−	0.730998i	0.963394	+	0.268088i	$0.0863919\pi$
$434$	7.59455	−	23.3736i	0.364550	−	1.12197i
$435$	−1.42821	+	4.39556i	−0.0684772	+	0.210751i
$436$	−0.538069	+	0.390930i	−0.0257688	+	0.0187222i
$437$	1.92189	+	1.39634i	0.0919366	+	0.0667959i
$438$	7.21440	+	22.2036i	0.344717	+	1.06093i
$439$	−12.0673			−0.575943			−0.287971	−	0.957639i	$-0.592981\pi$
$439$	−12.0673			−0.575943			−0.287971	+	0.957639i	$0.592981\pi$
$440$		0			0
$441$	−3.93265			−0.187269
$442$	−11.5724	−	35.6161i	−0.550442	−	1.69409i
$443$	14.7974	+	10.7509i	0.703044	+	0.510791i	0.880922	−	0.473261i	$-0.156923\pi$
$443$	14.7974	+	10.7509i	0.703044	+	0.510791i	−0.177878	+	0.984052i	$0.556923\pi$
$444$	0.0544838	−	0.0395848i	0.00258569	−	0.00187861i
$445$	3.86777	−	11.9038i	0.183350	−	0.564294i
$446$	−10.2695	+	31.6063i	−0.486276	+	1.49660i
$447$	−13.4616	+	9.78044i	−0.636713	+	0.462599i
$448$	31.2050	+	22.6717i	1.47430	+	1.07114i
$449$	0.131940	+	0.406068i	0.00622661	+	0.0191635i	0.954122	−	0.299420i	$-0.0967930\pi$
$449$	0.131940	+	0.406068i	0.00622661	+	0.0191635i	−0.947895	+	0.318583i	$0.896793\pi$
$450$	0.362259			0.0170771
$451$		0			0
$452$	0.853931			0.0401655
$453$	5.44049	+	16.7441i	0.255617	+	0.786707i
$454$	−9.64080	−	7.00445i	−0.452465	−	0.328735i
$455$	19.2351	−	13.9751i	0.901755	−	0.655164i
$456$	3.30994	−	10.1869i	0.155002	−	0.477047i
$457$	−4.74801	+	14.6129i	−0.222103	+	0.683562i	0.776470	+	0.630154i	$0.217008\pi$
$457$	−4.74801	+	14.6129i	−0.222103	+	0.683562i	−0.998573	+	0.0534078i	$0.982992\pi$
$458$	−16.7479	+	12.1681i	−0.782578	+	0.568576i
$459$	23.1841	+	16.8443i	1.08214	+	0.786223i
$460$	0.0166911	+	0.0513699i	0.000778227	+	0.00239514i
$461$	20.6191			0.960329			0.480164	−	0.877179i	$-0.340577\pi$
$461$	20.6191			0.960329			0.480164	+	0.877179i	$0.340577\pi$
$462$		0			0
$463$	−1.64211			−0.0763153			−0.0381577	−	0.999272i	$-0.512149\pi$
$463$	−1.64211			−0.0763153			−0.0381577	+	0.999272i	$0.512149\pi$
$464$	3.36001	+	10.3411i	0.155985	+	0.480071i
$465$	−5.00957	−	3.63966i	−0.232313	−	0.168785i
$466$	7.18511	−	5.22029i	0.332844	−	0.241825i
$467$	−0.969207	+	2.98291i	−0.0448496	+	0.138033i	−0.970974	−	0.239186i	$-0.923119\pi$
$467$	−0.969207	+	2.98291i	−0.0448496	+	0.138033i	0.926124	+	0.377219i	$0.123119\pi$
$468$	−0.0208110	+	0.0640496i	−0.000961987	+	0.00296069i
$469$	39.7822	−	28.9035i	1.83697	−	1.33464i
$470$	12.6928	+	9.22183i	0.585473	+	0.425371i
$471$	0.265510	+	0.817157i	0.0122341	+	0.0376526i
$472$	12.9787			0.597395
$473$		0			0
$474$	21.7538			0.999186
$475$	−0.698227	−	2.14892i	−0.0320369	−	0.0985993i
$476$	1.03896	+	0.754846i	0.0476205	+	0.0345983i
$477$	0.220734	−	0.160373i	0.0101067	−	0.00734297i
$478$	−2.01698	+	6.20762i	−0.0922544	+	0.283930i
$479$	−3.06936	+	9.44652i	−0.140243	+	0.431622i	−0.996369	−	0.0851448i	$-0.972865\pi$
$479$	−3.06936	+	9.44652i	−0.140243	+	0.431622i	0.856126	+	0.516767i	$0.172865\pi$
$480$	0.389120	−	0.282712i	0.0177608	−	0.0129040i
$481$	−3.23607	−	2.35114i	−0.147552	−	0.107203i
$482$	3.29353	+	10.1364i	0.150016	+	0.461702i
$483$	8.19216			0.372756
$484$		0			0
$485$	17.7759			0.807162
$486$	1.15999	+	3.57010i	0.0526184	+	0.161943i
$487$	−3.92040	−	2.84834i	−0.177650	−	0.129070i	0.495407	−	0.868661i	$-0.335019\pi$
$487$	−3.92040	−	2.84834i	−0.177650	−	0.129070i	−0.673057	+	0.739591i	$0.735019\pi$
$488$	22.8918	−	16.6319i	1.03626	−	0.752889i
$489$	−10.1007	+	31.0867i	−0.456768	+	1.40579i
$490$	6.53698	−	20.1188i	0.295311	−	0.908873i
$491$	−8.47715	+	6.15901i	−0.382569	+	0.277952i	−0.762404	−	0.647102i	$-0.775981\pi$
$491$	−8.47715	+	6.15901i	−0.382569	+	0.277952i	0.379835	+	0.925054i	$0.375981\pi$
$492$	−0.423432	−	0.307641i	−0.0190898	−	0.0138695i
$493$	4.58188	+	14.1016i	0.206357	+	0.635103i
$494$	−15.9327			−0.716844
$495$		0			0
$496$	−14.5678			−0.654112
$497$	1.52921	+	4.70642i	0.0685944	+	0.211112i
$498$	−5.89677	−	4.28426i	−0.264241	−	0.191982i
$499$	12.0786	−	8.77564i	0.540714	−	0.392852i	−0.283636	−	0.958932i	$-0.591541\pi$
$499$	12.0786	−	8.77564i	0.540714	−	0.392852i	0.824350	+	0.566080i	$0.191541\pi$
$500$	0.0158755	−	0.0488598i	0.000709975	−	0.00218508i
$501$	0.927051	−	2.85317i	0.0414176	−	0.127470i
$502$	−24.2382	+	17.6100i	−1.08180	+	0.785975i
$503$	−31.6907	−	23.0246i	−1.41302	−	1.02662i	−0.992875	−	0.119159i	$-0.961980\pi$
$503$	−31.6907	−	23.0246i	−1.41302	−	1.02662i	−0.420142	−	0.907458i	$-0.638020\pi$
$504$	1.08087	+	3.32658i	0.0481458	+	0.148178i
$505$	−3.68912			−0.164163
$506$		0			0
$507$	−20.7201			−0.920214
$508$	−0.0662718	−	0.203963i	−0.00294033	−	0.00904942i
$509$	13.7204	+	9.96844i	0.608145	+	0.441843i	0.848761	−	0.528777i	$-0.177349\pi$
$509$	13.7204	+	9.96844i	0.608145	+	0.441843i	−0.240616	+	0.970620i	$0.577349\pi$
$510$	−9.92894	+	7.21380i	−0.439661	+	0.319432i
$511$	−14.6943	+	45.2244i	−0.650038	+	2.00061i
$512$	7.24231	−	22.2895i	0.320068	−	0.985068i
$513$	9.86367	−	7.16637i	0.435492	−	0.316403i
$514$	19.0186	+	13.8178i	0.838876	+	0.609479i
$515$	0.00411986	+	0.0126796i	0.000181543	+	0.000558731i
$516$	0.230207			0.0101343
$517$		0			0
$518$	−5.20286			−0.228600
$519$	2.31857	+	7.13582i	0.101774	+	0.313228i
$520$	−11.7024	−	8.50232i	−0.513186	−	0.372851i
$521$	20.7571	−	15.0809i	0.909385	−	0.660707i	−0.0314746	−	0.999505i	$-0.510020\pi$
$521$	20.7571	−	15.0809i	0.909385	−	0.660707i	0.940859	+	0.338798i	$0.110020\pi$
$522$	−0.312533	+	0.961877i	−0.0136792	+	0.0421002i
$523$	−1.21938	+	3.75286i	−0.0533196	+	0.164101i	−0.974170	−	0.225814i	$-0.927496\pi$
$523$	−1.21938	+	3.75286i	−0.0533196	+	0.164101i	0.920851	+	0.389915i	$0.127496\pi$
$524$	−0.369129	+	0.268188i	−0.0161255	+	0.0117159i
$525$	−6.30375	−	4.57994i	−0.275118	−	0.199885i
$526$	4.84057	+	14.8977i	0.211059	+	0.649572i
$527$	−19.8653			−0.865346
$528$		0			0
$529$	−21.8946			−0.951940
$530$	0.453528	+	1.39582i	0.0197000	+	0.0606303i
$531$	0.951560	+	0.691349i	0.0412942	+	0.0300020i
$532$	0.442023	−	0.321148i	0.0191641	−	0.0139235i
$533$	−9.60634	+	29.5653i	−0.416097	+	1.28061i
$534$	−8.93798	+	27.5083i	−0.386784	+	1.19040i
$535$	−9.42945	+	6.85090i	−0.407671	+	0.296190i
$536$	−24.2031	−	17.5846i	−1.04541	−	0.759538i
$537$	−0.212948	−	0.655388i	−0.00918940	−	0.0282821i
$538$	17.3472			0.747891
$539$		0			0
$540$	0.277212			0.0119293
$541$	14.0245	+	43.1631i	0.602962	+	1.85572i	0.510238	+	0.860033i	$0.329557\pi$
$541$	14.0245	+	43.1631i	0.602962	+	1.85572i	0.0927233	+	0.995692i	$0.470443\pi$
$542$	−20.1359	−	14.6296i	−0.864911	−	0.628394i
$543$	−5.07837	+	3.68965i	−0.217934	+	0.158338i
$544$	0.476827	−	1.46752i	0.0204438	−	0.0629196i
$545$	4.00053	−	12.3124i	0.171364	−	0.527404i
$546$	−44.4501	+	32.2949i	−1.90229	+	1.38209i
$547$	−14.1274	−	10.2641i	−0.604042	−	0.438862i	0.243269	−	0.969959i	$-0.421780\pi$
$547$	−14.1274	−	10.2641i	−0.604042	−	0.438862i	−0.847311	+	0.531097i	$0.821780\pi$
$548$	−0.0123596	−	0.0380389i	−0.000527975	−	0.00162494i
$549$	2.56430			0.109441
$550$		0			0
$551$	6.30825			0.268740
$552$	−1.54015	−	4.74009i	−0.0655531	−	0.201752i
$553$	35.8461	+	26.0437i	1.52433	+	1.10749i
$554$	19.4337	−	14.1194i	0.825659	−	0.599877i
$555$	−0.405086	+	1.24673i	−0.0171949	+	0.0529206i
$556$	−0.139364	+	0.428917i	−0.00591034	+	0.0181901i
$557$	20.8968	−	15.1824i	0.885427	−	0.643301i	−0.0492545	−	0.998786i	$-0.515685\pi$
$557$	20.8968	−	15.1824i	0.885427	−	0.643301i	0.934682	+	0.355486i	$0.115685\pi$
$558$	−1.09624	−	0.796464i	−0.0464075	−	0.0337170i
$559$	−4.22523	−	13.0039i	−0.178708	−	0.550008i
$560$	−18.3312			−0.774636
$561$		0			0
$562$	−36.8679			−1.55518
$563$	3.31683	+	10.2081i	0.139788	+	0.430222i	0.996304	−	0.0858978i	$-0.0273759\pi$
$563$	3.31683	+	10.2081i	0.139788	+	0.430222i	−0.856516	+	0.516120i	$0.827376\pi$
$564$	0.773306	+	0.561840i	0.0325621	+	0.0236577i
$565$	−13.4473	+	9.77003i	−0.565732	+	0.411028i
$566$	−7.88418	+	24.2650i	−0.331397	+	1.01993i
$567$	11.8601	−	36.5015i	0.498076	−	1.53292i
$568$	2.43570	−	1.76964i	0.102200	−	0.0742525i
$569$	21.3583	+	15.5177i	0.895386	+	0.650536i	0.937277	−	0.348586i	$-0.113338\pi$
$569$	21.3583	+	15.5177i	0.895386	+	0.650536i	−0.0418906	+	0.999122i	$0.513338\pi$
$570$	1.61352	+	4.96591i	0.0675830	+	0.207999i
$571$	2.45168			0.102599			0.0512997	−	0.998683i	$-0.483664\pi$
$571$	2.45168			0.102599			0.0512997	+	0.998683i	$0.483664\pi$
$572$		0			0
$573$	−32.7379			−1.36764
$574$	12.4951	+	38.4560i	0.521536	+	1.60512i
$575$	−0.850580	−	0.617982i	−0.0354716	−	0.0257716i
$576$	1.72049	−	1.25001i	0.0716869	−	0.0520836i
$577$	8.46553	−	26.0542i	0.352425	−	1.08465i	−0.605063	−	0.796177i	$-0.706852\pi$
$577$	8.46553	−	26.0542i	0.352425	−	1.08465i	0.957488	−	0.288474i	$-0.0931478\pi$
$578$	−4.83368	+	14.8765i	−0.201054	+	0.618782i
$579$	10.7617	−	7.81881i	0.447239	−	0.324938i
$580$	0.116037	+	0.0843060i	0.00481818	+	0.00350061i
$581$	−4.58763	−	14.1193i	−0.190327	−	0.585766i
$582$	−41.0780			−1.70274
$583$		0			0
$584$	28.9300			1.19713
$585$	−0.405086	−	1.24673i	−0.0167482	−	0.0515458i
$586$	28.9476	+	21.0316i	1.19581	+	0.868809i
$587$	−11.4523	+	8.32060i	−0.472688	+	0.343428i	−0.798488	−	0.602011i	$-0.794366\pi$
$587$	−11.4523	+	8.32060i	−0.472688	+	0.343428i	0.325800	+	0.945439i	$0.394366\pi$
$588$	0.398265	−	1.22574i	0.0164242	−	0.0505485i
$589$	−2.61171	+	8.03802i	−0.107614	+	0.331201i
$590$	−5.11853	+	3.71883i	−0.210727	+	0.153102i
$591$	19.8105	+	14.3931i	0.814894	+	0.592055i
$592$	0.953009	+	2.93306i	0.0391684	+	0.120548i
$593$	−23.0194			−0.945295			−0.472647	−	0.881252i	$-0.656702\pi$
$593$	−23.0194			−0.945295			−0.472647	+	0.881252i	$0.656702\pi$
$594$		0			0
$595$	−24.9974			−1.02479
$596$	0.159571	+	0.491108i	0.00653627	+	0.0201166i
$597$	−12.2778	−	8.92034i	−0.502497	−	0.365085i
$598$	−5.99776	+	4.35762i	−0.245266	+	0.178197i
$599$	2.26331	−	6.96574i	0.0924762	−	0.284613i	−0.894112	−	0.447844i	$-0.852192\pi$
$599$	2.26331	−	6.96574i	0.0924762	−	0.284613i	0.986588	+	0.163232i	$0.0521918\pi$
$600$	−1.46489	+	4.50847i	−0.0598040	+	0.184058i
$601$	11.2718	−	8.18941i	0.459784	−	0.334053i	−0.333662	−	0.942693i	$-0.608285\pi$
$601$	11.2718	−	8.18941i	0.459784	−	0.334053i	0.793447	+	0.608640i	$0.208285\pi$
$602$	−14.3883	−	10.4537i	−0.586421	−	0.426060i
$603$	−0.837803	−	2.57849i	−0.0341180	−	0.105004i
$604$	0.546370			0.0222315
$605$		0			0
$606$	8.52512			0.346309
$607$	−3.45938	−	10.6469i	−0.140412	−	0.432144i	0.855980	−	0.517008i	$-0.172954\pi$
$607$	−3.45938	−	10.6469i	−0.140412	−	0.432144i	−0.996393	+	0.0848642i	$0.972954\pi$
$608$	−0.531109	−	0.385874i	−0.0215393	−	0.0156492i
$609$	17.5992	−	12.7866i	0.713156	−	0.518138i
$610$	−4.26245	+	13.1185i	−0.172582	+	0.531152i
$611$	17.5439	−	53.9946i	0.709750	−	2.18439i
$612$	0.0572829	−	0.0416185i	0.00231552	−	0.00168233i
$613$	−10.4320	−	7.57926i	−0.421343	−	0.306124i	0.356835	−	0.934167i	$-0.383856\pi$
$613$	−10.4320	−	7.57926i	−0.421343	−	0.306124i	−0.778178	+	0.628044i	$0.783856\pi$
$614$	−11.8020	−	36.3229i	−0.476291	−	1.46587i
$615$	10.1878			0.410812
$616$		0			0
$617$	20.8813			0.840649			0.420324	−	0.907374i	$-0.361916\pi$
$617$	20.8813			0.840649			0.420324	+	0.907374i	$0.361916\pi$
$618$	−0.00952053	−	0.0293012i	−0.000382972	−	0.00117867i
$619$	−18.5550	−	13.4810i	−0.745790	−	0.541848i	0.148729	−	0.988878i	$-0.452482\pi$
$619$	−18.5550	−	13.4810i	−0.745790	−	0.541848i	−0.894519	+	0.447030i	$0.852482\pi$
$620$	−0.155465	+	0.112952i	−0.00624361	+	0.00453625i
$621$	1.75310	−	5.39548i	0.0703494	−	0.216513i
$622$	−8.41297	+	25.8924i	−0.337329	+	1.03819i
$623$	−47.6611	+	34.6278i	−1.90950	+	1.38733i
$624$	26.3479	+	19.1428i	1.05476	+	0.766327i
$625$	0.309017	+	0.951057i	0.0123607	+	0.0380423i
$626$	10.5183			0.420397
$627$		0			0
$628$	0.0266643			0.00106402
$629$	1.29957	+	3.99967i	0.0518173	+	0.159477i
$630$	−1.37944	−	1.00222i	−0.0549584	−	0.0399296i
$631$	−13.3642	+	9.70964i	−0.532019	+	0.386535i	−0.821113	−	0.570766i	$-0.806646\pi$
$631$	−13.3642	+	9.70964i	−0.532019	+	0.386535i	0.289093	+	0.957301i	$0.406646\pi$
$632$	8.33007	−	25.6373i	0.331352	−	1.01980i
$633$	−4.49074	+	13.8211i	−0.178491	+	0.549339i
$634$	−13.0819	+	9.50454i	−0.519548	+	0.377474i
$635$	3.37721	+	2.45369i	0.134021	+	0.0973716i
$636$	0.0276312	+	0.0850400i	0.00109565	+	0.00337205i
$637$	−76.5491			−3.03299
$638$		0			0
$639$	0.272843			0.0107935
$640$	3.35540	+	10.3269i	0.132634	+	0.408205i
$641$	−15.8220	−	11.4954i	−0.624931	−	0.454039i	0.229709	−	0.973259i	$-0.426222\pi$
$641$	−15.8220	−	11.4954i	−0.624931	−	0.454039i	−0.854641	+	0.519220i	$0.826222\pi$
$642$	21.7904	−	15.8316i	0.859997	−	0.624825i
$643$	−0.378805	+	1.16584i	−0.0149386	+	0.0459763i	−0.958248	−	0.285939i	$-0.907695\pi$
$643$	−0.378805	+	1.16584i	−0.0149386	+	0.0459763i	0.943309	+	0.331915i	$0.107695\pi$
$644$	0.0785620	−	0.241789i	0.00309578	−	0.00952782i
$645$	−3.62519	+	2.63385i	−0.142742	+	0.103708i
$646$	13.5520	+	9.84610i	0.533196	+	0.387390i
$647$	2.29641	+	7.06762i	0.0902811	+	0.277857i	0.985995	−	0.166774i	$-0.0533350\pi$
$647$	2.29641	+	7.06762i	0.0902811	+	0.277857i	−0.895714	+	0.444631i	$0.853335\pi$
$648$	−23.3500			−0.917274
$649$		0			0
$650$	7.05137			0.276578
$651$	9.00642	+	27.7189i	0.352989	+	1.08639i
$652$	0.820648	+	0.596236i	0.0321391	+	0.0233504i
$653$	34.2567	−	24.8890i	1.34057	−	0.973981i	0.341147	−	0.940010i	$-0.389185\pi$
$653$	34.2567	−	24.8890i	1.34057	−	0.973981i	0.999423	−	0.0339706i	$-0.0108153\pi$
$654$	−9.24476	+	28.4525i	−0.361499	+	1.11258i
$655$	2.74447	−	8.44660i	0.107235	−	0.330036i
$656$	19.3905	−	14.0880i	0.757070	−	0.550044i
$657$	2.12106	+	1.54104i	0.0827503	+	0.0601216i
$658$	−22.8196	−	70.2315i	−0.889601	−	2.73791i
$659$	−35.4897			−1.38248			−0.691242	−	0.722624i	$-0.742936\pi$
$659$	−35.4897			−1.38248			−0.691242	+	0.722624i	$0.742936\pi$
$660$		0			0
$661$	−19.2188			−0.747526			−0.373763	−	0.927524i	$-0.621933\pi$
$661$	−19.2188			−0.747526			−0.373763	+	0.927524i	$0.621933\pi$
$662$	−7.99424	−	24.6037i	−0.310705	−	0.956251i
$663$	35.9292	+	26.1041i	1.39538	+	1.01380i
$664$	−7.30711	+	5.30892i	−0.283571	+	0.206026i
$665$	−3.28643	+	10.1146i	−0.127442	+	0.392227i
$666$	−0.0886445	+	0.272820i	−0.00343491	+	0.0105716i
$667$	2.37470	−	1.72532i	0.0919488	−	0.0668047i
$668$	−0.0753200	−	0.0547232i	−0.00291422	−	0.00211730i
$669$	−12.1787	−	37.4821i	−0.470854	−	1.44914i
$670$	14.5837			0.563419
$671$		0			0
$672$	−2.26388			−0.0873311
$673$	−13.4306	−	41.3352i	−0.517712	−	1.59335i	−0.778293	−	0.627902i	$-0.783914\pi$
$673$	−13.4306	−	41.3352i	−0.517712	−	1.59335i	0.260581	−	0.965452i	$-0.416086\pi$
$674$	8.66553	+	6.29588i	0.333784	+	0.242508i
$675$	−4.36540	+	3.17165i	−0.168024	+	0.122077i
$676$	−0.198704	+	0.611548i	−0.00764246	+	0.0235211i
$677$	5.43367	−	16.7231i	0.208833	−	0.642722i	−0.790701	−	0.612202i	$-0.790284\pi$
$677$	5.43367	−	16.7231i	0.208833	−	0.642722i	0.999534	−	0.0305195i	$-0.00971615\pi$
$678$	31.0751	−	22.5774i	1.19343	−	0.867080i
$679$	−67.6887	−	49.1787i	−2.59765	−	1.88731i
$680$	4.69957	+	14.4638i	0.180220	+	0.554661i
$681$	14.1321			0.541541
$682$		0			0
$683$	12.0177			0.459845			0.229922	−	0.973209i	$-0.426153\pi$
$683$	12.0177			0.459845			0.229922	+	0.973209i	$0.426153\pi$
$684$	−0.00930887	−	0.0286498i	−0.000355934	−	0.00109545i
$685$	0.629845	+	0.457609i	0.0240652	+	0.0174844i
$686$	−43.3437	+	31.4911i	−1.65487	+	1.20233i
$687$	7.58638	−	23.3485i	0.289439	−	0.890800i
$688$	−3.25766	+	10.0260i	−0.124197	+	0.382239i
$689$	4.29660	−	3.12166i	0.163687	−	0.118926i
$690$	1.96559	+	1.42809i	0.0748288	+	0.0543663i
$691$	10.7898	+	33.2077i	0.410465	+	1.26328i	0.916245	+	0.400619i	$0.131205\pi$
$691$	10.7898	+	33.2077i	0.410465	+	1.26328i	−0.505780	+	0.862663i	$0.668795\pi$
$692$	0.232846			0.00885148
$693$		0			0
$694$	−39.3482			−1.49364
$695$	−2.71272	−	8.34888i	−0.102899	−	0.316691i
$696$	−10.7072	−	7.77922i	−0.405855	−	0.294871i
$697$	26.4418	−	19.2111i	1.00155	−	0.727671i
$698$	3.83684	−	11.8086i	0.145227	−	0.446961i
$699$	−3.25468	+	10.0169i	−0.123103	+	0.378873i
$700$	−0.195628	+	0.142132i	−0.00739403	+	0.00537208i
$701$	−14.1095	−	10.2511i	−0.532908	−	0.387181i	0.288536	−	0.957469i	$-0.406831\pi$
$701$	−14.1095	−	10.2511i	−0.532908	−	0.387181i	−0.821445	+	0.570288i	$0.806831\pi$
$702$	11.7577	+	36.1865i	0.443766	+	1.36577i
$703$	1.78922			0.0674819
$704$		0			0
$705$	−18.6058			−0.700735
$706$	12.0878	+	37.2024i	0.454930	+	1.40013i
$707$	14.0478	+	10.2063i	0.528320	+	0.383847i
$708$	−0.311847	+	0.226570i	−0.0117199	+	0.00851501i
$709$	16.0139	−	49.2856i	0.601414	−	1.85096i	0.0816308	−	0.996663i	$-0.473987\pi$
$709$	16.0139	−	49.2856i	0.601414	−	1.85096i	0.519783	−	0.854298i	$-0.326013\pi$
$710$	−0.453528	+	1.39582i	−0.0170206	+	0.0523840i
$711$	1.97638	−	1.43592i	0.0741199	−	0.0538513i
$712$	28.9965	+	21.0672i	1.08669	+	0.789526i
$713$	1.21526	+	3.74018i	0.0455117	+	0.140071i
$714$	57.7660			2.16184
$715$		0			0
$716$	−0.0213857			−0.000799221
$717$	−2.39194	−	7.36164i	−0.0893287	−	0.274926i
$718$	−12.7128	−	9.23635i	−0.474436	−	0.344698i
$719$	21.7761	−	15.8212i	0.812110	−	0.590032i	−0.102332	−	0.994750i	$-0.532630\pi$
$719$	21.7761	−	15.8212i	0.812110	−	0.590032i	0.914442	+	0.404718i	$0.132630\pi$
$720$	−0.312321	+	0.961226i	−0.0116395	+	0.0358228i
$721$	0.0193914	−	0.0596807i	0.000722175	−	0.00222263i
$722$	−15.6916	+	11.4006i	−0.583982	+	0.424288i
$723$	−10.2255	−	7.42929i	−0.380292	−	0.276298i
$724$	0.0601978	+	0.185270i	0.00223723	+	0.00688550i
$725$	−2.79186			−0.103687
$726$		0			0
$727$	−21.7449			−0.806472			−0.403236	−	0.915096i	$-0.632115\pi$
$727$	−21.7449			−0.806472			−0.403236	+	0.915096i	$0.632115\pi$
$728$	21.0392	+	64.7519i	0.779763	+	2.39986i
$729$	−23.3920	−	16.9952i	−0.866369	−	0.629454i
$730$	−11.4094	+	8.28939i	−0.422279	+	0.306804i
$731$	−4.44230	+	13.6720i	−0.164304	+	0.505677i
$732$	−0.259690	+	0.799243i	−0.00959842	+	0.0295409i
$733$	3.89827	−	2.83226i	0.143986	−	0.104612i	−0.513460	−	0.858113i	$-0.671637\pi$
$733$	3.89827	−	2.83226i	0.143986	−	0.104612i	0.657446	+	0.753501i	$0.271637\pi$
$734$	6.27084	+	4.55603i	0.231461	+	0.168166i
$735$	7.75224	+	23.8589i	0.285946	+	0.880050i
$736$	−0.305471			−0.0112598
$737$		0			0
$738$	2.22939			0.0820648
$739$	14.9073	+	45.8798i	0.548372	+	1.68772i	0.712834	+	0.701333i	$0.247411\pi$
$739$	14.9073	+	45.8798i	0.548372	+	1.68772i	−0.164461	+	0.986384i	$0.552589\pi$
$740$	0.0329119	+	0.0239119i	0.00120987	+	0.000879020i
$741$	15.2861	−	11.1060i	0.561548	−	0.407988i
$742$	2.13467	−	6.56985i	0.0783663	−	0.241187i
$743$	8.27886	−	25.4797i	0.303722	−	0.934760i	−0.676429	−	0.736508i	$-0.736473\pi$
$743$	8.27886	−	25.4797i	0.303722	−	0.934760i	0.980151	−	0.198252i	$-0.0635265\pi$
$744$	14.3453	−	10.4225i	0.525924	−	0.382106i
$745$	−8.13173	−	5.90805i	−0.297924	−	0.216454i
$746$	−2.93553	−	9.03465i	−0.107478	−	0.330782i
$747$	−0.818528			−0.0299484
$748$		0			0
$749$	54.8600			2.00454
$750$	−0.714103	−	2.19778i	−0.0260753	−	0.0802517i
$751$	−0.358343	−	0.260352i	−0.0130761	−	0.00950037i	0.581228	−	0.813741i	$-0.302572\pi$
$751$	−0.358343	−	0.260352i	−0.0130761	−	0.00950037i	−0.594304	+	0.804240i	$0.702572\pi$
$752$	−35.4125	+	25.7287i	−1.29136	+	0.938228i
$753$	10.9793	−	33.7908i	0.400107	−	1.23140i
$754$	−6.08346	+	18.7230i	−0.221546	+	0.681850i
$755$	−8.60398	+	6.25116i	−0.313131	+	0.227503i
$756$	−1.05559	−	0.766934i	−0.0383916	−	0.0278931i
$757$	8.53890	+	26.2800i	0.310352	+	0.955164i	0.977626	+	0.210352i	$0.0674610\pi$
$757$	8.53890	+	26.2800i	0.310352	+	0.955164i	−0.667274	+	0.744812i	$0.732539\pi$
$758$	17.5251			0.636541
$759$		0			0
$760$	6.47029			0.234702
$761$	−0.576412	−	1.77401i	−0.0208949	−	0.0643080i	0.940065	−	0.340994i	$-0.110764\pi$
$761$	−0.576412	−	1.77401i	−0.0208949	−	0.0643080i	−0.960960	+	0.276686i	$0.910764\pi$
$762$	−7.80435	−	5.67019i	−0.282722	−	0.205409i
$763$	−49.2970	+	35.8163i	−1.78467	+	1.29664i
$764$	−0.313952	+	0.966246i	−0.0113584	+	0.0349576i
$765$	−0.425897	+	1.31078i	−0.0153983	+	0.0473912i
$766$	−41.4132	+	30.0884i	−1.49632	+	1.08714i
$767$	18.5221	+	13.4571i	0.668795	+	0.485908i
$768$	0.630324	+	1.93994i	0.0227449	+	0.0700015i
$769$	47.5872			1.71604			0.858019	−	0.513618i	$-0.171695\pi$
$769$	47.5872			1.71604			0.858019	+	0.513618i	$0.171695\pi$
$770$		0			0
$771$	−27.8786			−1.00402
$772$	−0.127566	−	0.392608i	−0.00459121	−	0.0141303i
$773$	−33.9923	−	24.6969i	−1.22262	−	0.888284i	−0.226303	−	0.974057i	$-0.572664\pi$
$773$	−33.9923	−	24.6969i	−1.22262	−	0.888284i	−0.996315	+	0.0857729i	$0.972664\pi$
$774$	−0.793297	+	0.576364i	−0.0285145	+	0.0207170i
$775$	1.15587	−	3.55742i	0.0415202	−	0.127786i
$776$	−15.7298	+	48.4113i	−0.564667	+	1.73786i
$777$	4.99171	−	3.62669i	0.179077	−	0.130107i
$778$	7.76827	+	5.64398i	0.278506	+	0.202347i
$779$	−4.29698	−	13.2247i	−0.153955	−	0.473825i
$780$	0.429605			0.0153823
$781$		0			0
$782$	7.79450			0.278731
$783$	−4.65525	−	14.3274i	−0.166365	−	0.512019i
$784$	47.7477	+	34.6908i	1.70528	+	1.23896i
$785$	−0.419897	+	0.305073i	−0.0149868	+	0.0108885i
$786$	−6.34215	+	19.5191i	−0.226217	+	0.696224i
$787$	5.37976	−	16.5572i	0.191768	−	0.590200i	−0.808231	−	0.588865i	$-0.799575\pi$
$787$	5.37976	−	16.5572i	0.191768	−	0.590200i	0.999999	−	0.00133525i	$-0.000425025\pi$
$788$	0.614789	−	0.446670i	0.0219009	−	0.0159120i
$789$	−15.0287	−	10.9190i	−0.535036	−	0.388726i
$790$	4.06073	+	12.4976i	0.144474	+	0.444646i
$791$	78.2356			2.78174
$792$		0			0
$793$	49.9140			1.77250
$794$	−16.2895	−	50.1340i	−0.578093	−	1.77919i
$795$	−1.40809	−	1.02303i	−0.0499396	−	0.0362833i
$796$	−0.381024	+	0.276830i	−0.0135050	+	0.00981197i
$797$	1.83741	−	5.65497i	0.0650844	−	0.200309i	−0.913226	−	0.407453i	$-0.866417\pi$
$797$	1.83741	−	5.65497i	0.0650844	−	0.200309i	0.978310	+	0.207144i	$0.0664169\pi$
$798$	7.59455	−	23.3736i	0.268844	−	0.827418i
$799$	−48.2902	+	35.0849i	−1.70838	+	1.24121i
$800$	0.235055	+	0.170778i	0.00831045	+	0.00603790i
$801$	1.00373	+	3.08916i	0.0354650	+	0.109150i
$802$	−26.8096			−0.946679
$803$		0			0
$804$	0.888513			0.0313354
$805$	1.52921	+	4.70642i	0.0538976	+	0.165880i
$806$	−21.3383	−	15.5032i	−0.751610	−	0.546076i
$807$	−16.6432	+	12.0920i	−0.585868	+	0.425658i
$808$	3.26448	−	10.0470i	0.114844	−	0.353453i
$809$	6.29640	−	19.3783i	0.221370	−	0.681306i	−0.777270	−	0.629167i	$-0.783396\pi$
$809$	6.29640	−	19.3783i	0.221370	−	0.681306i	0.998640	−	0.0521390i	$-0.0166039\pi$
$810$	9.20872	−	6.69052i	0.323561	−	0.235081i
$811$	2.60622	+	1.89353i	0.0915169	+	0.0664909i	0.632603	−	0.774476i	$-0.281987\pi$
$811$	2.60622	+	1.89353i	0.0915169	+	0.0664909i	−0.541086	+	0.840967i	$0.681987\pi$
$812$	−0.208617	−	0.642056i	−0.00732101	−	0.0225318i
$813$	29.5164			1.03518
$814$		0			0
$815$	−19.7449			−0.691632
$816$	−10.5810	−	32.5650i	−0.370410	−	1.14000i
$817$	4.94801	+	3.59494i	0.173109	+	0.125771i
$818$	30.6231	−	22.2490i	1.07071	−	0.777917i
$819$	−1.90666	+	5.86811i	−0.0666242	+	0.205048i
$820$	0.0976999	−	0.300689i	0.00341183	−	0.0105005i
$821$	−4.78670	+	3.47774i	−0.167057	+	0.121374i	−0.668172	−	0.744006i	$-0.732923\pi$
$821$	−4.78670	+	3.47774i	−0.167057	+	0.121374i	0.501116	+	0.865380i	$0.332923\pi$
$822$	−1.45550	−	1.05748i	−0.0507664	−	0.0368839i
$823$	3.96249	+	12.1953i	0.138124	+	0.425101i	0.996063	−	0.0886501i	$-0.0282553\pi$
$823$	3.96249	+	12.1953i	0.138124	+	0.425101i	−0.857939	+	0.513752i	$0.828255\pi$
$824$	−0.0381777			−0.00132998
$825$		0			0
$826$	29.7794			1.03616
$827$	−12.2000	−	37.5478i	−0.424236	−	1.30566i	−0.903724	−	0.428116i	$-0.859178\pi$
$827$	−12.2000	−	37.5478i	−0.424236	−	1.30566i	0.479488	−	0.877548i	$-0.340822\pi$
$828$	−0.0113401	−	0.00823904i	−0.000394094	−	0.000286326i
$829$	−18.3430	+	13.3269i	−0.637077	+	0.462864i	−0.858845	−	0.512236i	$-0.828817\pi$
$829$	−18.3430	+	13.3269i	−0.637077	+	0.462864i	0.221768	+	0.975100i	$0.428817\pi$
$830$	1.36058	−	4.18745i	0.0472265	−	0.145348i
$831$	−8.80299	+	27.0928i	−0.305372	+	0.939840i
$832$	33.4893	−	24.3314i	1.16103	−	0.843539i
$833$	65.1111	+	47.3060i	2.25597	+	1.63906i
$834$	6.26877	+	19.2933i	0.217070	+	0.668072i
$835$	1.81220			0.0627139
$836$		0			0
$837$	20.1834			0.697641
$838$	−5.13783	−	15.8126i	−0.177483	−	0.546238i
$839$	35.8246	+	26.0281i	1.23680	+	0.898588i	0.997381	−	0.0723277i	$-0.0230427\pi$
$839$	35.8246	+	26.0281i	1.23680	+	0.898588i	0.239420	+	0.970916i	$0.423043\pi$
$840$	18.0513	−	13.1150i	0.622828	−	0.452511i
$841$	−6.55286	+	20.1676i	−0.225961	+	0.695435i
$842$	1.37699	−	4.23795i	0.0474543	−	0.146049i
$843$	35.3717	−	25.6991i	1.21827	−	0.885123i
$844$	0.364859	+	0.265086i	0.0125590	+	0.00912462i
$845$	−3.86777	−	11.9038i	−0.133055	−	0.409503i
$846$	−4.07149			−0.139981
$847$		0			0
$848$	−4.09469			−0.140612
$849$	−9.34989	−	28.7760i	−0.320887	−	0.987590i
$850$	−5.99776	−	4.35762i	−0.205721	−	0.149465i
$851$	0.673543	−	0.489358i	0.0230888	−	0.0167750i
$852$	−0.0276312	+	0.0850400i	−0.000946628	+	0.00291342i
$853$	−11.6775	+	35.9397i	−0.399830	+	1.23055i	0.525305	+	0.850914i	$0.323951\pi$
$853$	−11.6775	+	35.9397i	−0.399830	+	1.23055i	−0.925135	+	0.379637i	$0.876049\pi$
$854$	52.5246	−	38.1613i	1.79735	−	1.30585i
$855$	0.474381	+	0.344658i	0.0162235	+	0.0117870i
$856$	−10.3138	−	31.7427i	−0.352520	−	1.08494i
$857$	12.0354			0.411122			0.205561	−	0.978644i	$-0.434098\pi$
$857$	12.0354			0.411122			0.205561	+	0.978644i	$0.434098\pi$
$858$		0			0
$859$	24.9486			0.851236			0.425618	−	0.904903i	$-0.360057\pi$
$859$	24.9486			0.851236			0.425618	+	0.904903i	$0.360057\pi$
$860$	0.0429721	+	0.132255i	0.00146534	+	0.00450984i
$861$	−38.7941	−	28.1855i	−1.32210	−	0.960560i
$862$	−40.6960	+	29.5673i	−1.38611	+	1.00707i
$863$	−17.6046	+	54.1815i	−0.599269	+	1.84436i	−0.0670548	+	0.997749i	$0.521360\pi$
$863$	−17.6046	+	54.1815i	−0.599269	+	1.84436i	−0.532214	+	0.846610i	$0.678640\pi$
$864$	−0.484463	+	1.49102i	−0.0164818	+	0.0507257i
$865$	−3.66675	+	2.66405i	−0.124673	+	0.0905804i
$866$	−29.2256	−	21.2336i	−0.993126	−	0.721548i
$867$	−5.73228	−	17.6422i	−0.194679	−	0.599159i
$868$	0.904485			0.0307002
$869$		0			0
$870$	6.45168			0.218732
$871$	−16.3078	−	50.1903i	−0.552570	−	1.70064i
$872$	29.9918	+	21.7903i	1.01565	+	0.737912i
$873$	−3.73202	+	2.71147i	−0.126310	+	0.0917694i
$874$	1.02475	−	3.15386i	0.0346627	−	0.106681i
$875$	1.45449	−	4.47645i	0.0491706	−	0.151332i
$876$	−0.695115	+	0.505031i	−0.0234858	+	0.0170634i
$877$	−47.2118	−	34.3014i	−1.59423	−	1.15828i	−0.897570	−	0.440873i	$-0.854669\pi$
$877$	−47.2118	−	34.3014i	−1.59423	−	1.15828i	−0.696659	−	0.717402i	$-0.745331\pi$
$878$	5.20545	+	16.0207i	0.175675	+	0.540673i
$879$	−42.4331			−1.43123
$880$		0			0
$881$	−31.7466			−1.06957			−0.534785	−	0.844988i	$-0.679607\pi$
$881$	−31.7466			−1.06957			−0.534785	+	0.844988i	$0.679607\pi$
$882$	1.69642	+	5.22103i	0.0571213	+	0.175801i
$883$	−21.1068	−	15.3350i	−0.710300	−	0.516063i	0.172971	−	0.984927i	$-0.444663\pi$
$883$	−21.1068	−	15.3350i	−0.710300	−	0.516063i	−0.883270	+	0.468864i	$0.844663\pi$
$884$	1.11501	−	0.810104i	0.0375019	−	0.0272467i
$885$	2.31857	−	7.13582i	0.0779379	−	0.239868i
$886$	7.88993	−	24.2827i	0.265067	−	0.815794i
$887$	9.60649	−	6.97952i	0.322554	−	0.234349i	−0.414710	−	0.909953i	$-0.636117\pi$
$887$	9.60649	−	6.97952i	0.322554	−	0.234349i	0.737265	+	0.675604i	$0.236117\pi$
$888$	−3.03691	−	2.20644i	−0.101912	−	0.0740433i
$889$	−6.07170	−	18.6868i	−0.203638	−	0.626734i
$890$	−17.4720			−0.585663
$891$		0			0
$892$	−1.22306			−0.0409512
$893$	7.84749	+	24.1521i	0.262606	+	0.808219i
$894$	18.7915	+	13.6528i	0.628482	+	0.456619i
$895$	0.336772	−	0.244679i	0.0112570	−	0.00817871i
$896$	15.7932	−	48.6066i	0.527615	−	1.62383i
$897$	2.71684	−	8.36156i	0.0907125	−	0.279184i
$898$	0.482186	−	0.350329i	0.0160908	−	0.0116906i
$899$	8.44851	+	6.13820i	0.281774	+	0.204721i
$900$	0.00411986	+	0.0126796i	0.000137329	+	0.000422654i
$901$	−5.58373			−0.186021
$902$		0			0
$903$	21.0911			0.701869
$904$	−14.7085	−	45.2681i	−0.489198	−	1.50560i
$905$	−3.06768	−	2.22880i	−0.101973	−	0.0740879i
$906$	19.8828	−	14.4457i	0.660562	−	0.479926i
$907$	−0.474058	+	1.45900i	−0.0157408	+	0.0484453i	−0.958618	−	0.284694i	$-0.908108\pi$
$907$	−0.474058	+	1.45900i	−0.0157408	+	0.0484453i	0.942878	+	0.333139i	$0.108108\pi$
$908$	0.135525	−	0.417103i	0.00449755	−	0.0138420i
$909$	0.774524	−	0.562725i	0.0256893	−	0.0186644i
$910$	−26.8509	−	19.5083i	−0.890098	−	0.646694i
$911$	10.0046	+	30.7910i	0.331467	+	1.02015i	0.968436	+	0.249262i	$0.0801881\pi$
$911$	10.0046	+	30.7910i	0.331467	+	1.02015i	−0.636969	+	0.770890i	$0.719812\pi$
$912$	−14.5678			−0.482387
$913$		0			0
$914$	21.4484			0.709448
$915$	−5.05487	−	15.5573i	−0.167109	−	0.514308i
$916$	−0.616370	−	0.447819i	−0.0203654	−	0.0147964i
$917$	−33.8190	+	24.5709i	−1.11680	+	0.811403i
$918$	12.3617	−	38.0456i	0.407999	−	1.25569i
$919$	−10.8867	+	33.5059i	−0.359120	+	1.10526i	0.594462	+	0.804124i	$0.297365\pi$
$919$	−10.8867	+	33.5059i	−0.359120	+	1.10526i	−0.953582	+	0.301134i	$0.902635\pi$
$920$	2.43570	−	1.76964i	0.0803027	−	0.0583433i
$921$	36.6422	+	26.6221i	1.20740	+	0.877229i
$922$	−8.89441	−	27.3742i	−0.292922	−	0.901520i
$923$	5.31088			0.174810
$924$		0			0
$925$	−0.791864			−0.0260363
$926$	0.708352	+	2.18008i	0.0232779	+	0.0716419i
$927$	−0.00279907	−	0.00203364i	−9.19334e−5	−	6.67935e-5i
$928$	−0.656242	+	0.476788i	−0.0215422	+	0.0156513i
$929$	−1.39482	+	4.29282i	−0.0457627	+	0.140843i	−0.971327	−	0.237747i	$-0.923591\pi$
$929$	−1.39482	+	4.29282i	−0.0457627	+	0.140843i	0.925564	+	0.378590i	$0.123591\pi$
$930$	−2.67109	+	8.22078i	−0.0875886	+	0.269570i
$931$	27.7015	−	20.1263i	0.907879	−	0.659613i
$932$	0.264432	+	0.192121i	0.00866177	+	0.00629314i
$933$	−9.97698	−	30.7060i	−0.326632	−	1.00527i
$934$	4.37823			0.143260
$935$		0			0
$936$	3.75382			0.122697
$937$	−3.62226	−	11.1482i	−0.118334	−	0.364195i	0.874294	−	0.485397i	$-0.161325\pi$
$937$	−3.62226	−	11.1482i	−0.118334	−	0.364195i	−0.992628	+	0.121202i	$0.961325\pi$
$938$	−55.5333	−	40.3473i	−1.81323	−	1.31739i
$939$	−10.0915	+	7.33188i	−0.329323	+	0.239267i
$940$	−0.178428	+	0.549144i	−0.00581967	+	0.0179111i
$941$	−12.0735	+	37.1585i	−0.393586	+	1.21133i	0.536471	+	0.843919i	$0.319757\pi$
$941$	−12.0735	+	37.1585i	−0.393586	+	1.21133i	−0.930057	+	0.367415i	$0.880243\pi$
$942$	0.970333	−	0.704988i	0.0316152	−	0.0229698i
$943$	−5.23457	−	3.80314i	−0.170461	−	0.123847i
$944$	−5.45469	−	16.7878i	−0.177535	−	0.546397i
$945$	25.3977			0.826186
$946$		0			0
$947$	26.7733			0.870014			0.435007	−	0.900427i	$-0.356746\pi$
$947$	26.7733			0.870014			0.435007	+	0.900427i	$0.356746\pi$
$948$	0.247400	+	0.761418i	0.00803517	+	0.0247297i
$949$	41.2864	+	29.9963i	1.34021	+	0.973721i
$950$	−2.55174	+	1.85395i	−0.0827893	+	0.0601500i
$951$	5.92577	−	18.2376i	0.192156	−	0.591396i
$952$	22.1200	−	68.0784i	0.716914	−	2.20643i
$953$	9.25540	−	6.72444i	0.299812	−	0.217826i	−0.427701	−	0.903920i	$-0.640676\pi$
$953$	9.25540	−	6.72444i	0.299812	−	0.217826i	0.727513	+	0.686094i	$0.240676\pi$
$954$	−0.308130	−	0.223870i	−0.00997608	−	0.00724805i
$955$	−6.11109	−	18.8080i	−0.197750	−	0.608612i
$956$	−0.240215			−0.00776910
$957$		0			0
$958$	13.8653			0.447968
$959$	−1.13236	−	3.48506i	−0.0365659	−	0.112538i
$960$	−10.9751	−	7.97391i	−0.354221	−	0.257357i
$961$	13.7604	−	9.99749i	0.443883	−	0.322500i
$962$	−1.72547	+	5.31044i	−0.0556313	+	0.171215i
$963$	0.934687	−	2.87667i	0.0301199	−	0.0926994i
$964$	−0.317335	+	0.230557i	−0.0102207	+	0.00742575i
$965$	6.50078	+	4.72309i	0.209267	+	0.152042i
$966$	−3.53383	−	10.8760i	−0.113699	−	0.349930i
$967$	3.28881			0.105761			0.0528806	−	0.998601i	$-0.483160\pi$
$967$	3.28881			0.105761			0.0528806	+	0.998601i	$0.483160\pi$
$968$		0			0
$969$	−19.8653			−0.638166
$970$	−7.66793	−	23.5995i	−0.246202	−	0.757733i
$971$	−31.1912	−	22.6617i	−1.00097	−	0.727249i	−0.0386762	−	0.999252i	$-0.512314\pi$
$971$	−31.1912	−	22.6617i	−1.00097	−	0.727249i	−0.962297	+	0.272003i	$0.912314\pi$
$972$	−0.111767	+	0.0812033i	−0.00358492	+	0.00260460i
$973$	−12.7683	+	39.2966i	−0.409331	+	1.25979i
$974$	−2.09035	+	6.43344i	−0.0669791	+	0.206141i
$975$	−6.76521	+	4.91521i	−0.216660	+	0.157413i
$976$	−31.1340	−	22.6202i	−0.996575	−	0.724054i
$977$	16.4958	+	50.7690i	0.527749	+	1.62424i	0.758815	+	0.651306i	$0.225779\pi$
$977$	16.4958	+	50.7690i	0.527749	+	1.62424i	−0.231066	+	0.972938i	$0.574221\pi$
$978$	45.6281			1.45903
$979$		0			0
$980$	0.778532			0.0248693
$981$	1.03818	+	3.19519i	0.0331465	+	0.102015i
$982$	11.8335	+	8.59756i	0.377623	+	0.274359i
$983$	−17.3777	+	12.6257i	−0.554264	+	0.402696i	−0.829355	−	0.558722i	$-0.811292\pi$
$983$	−17.3777	+	12.6257i	−0.554264	+	0.402696i	0.275091	+	0.961418i	$0.411292\pi$
$984$	−9.01512	+	27.7457i	−0.287392	+	0.884501i
$985$	−4.57094	+	14.0679i	−0.145642	+	0.448241i
$986$	16.7449	−	12.1659i	0.533267	−	0.387441i
$987$	70.8489	+	51.4748i	2.25515	+	1.63846i
$988$	−0.181197	−	0.557668i	−0.00576465	−	0.0177418i
$989$	2.84588			0.0904936
$990$		0			0
$991$	−2.87600			−0.0913592			−0.0456796	−	0.998956i	$-0.514545\pi$
$991$	−2.87600			−0.0913592			−0.0456796	+	0.998956i	$0.514545\pi$
$992$	−0.335833	−	1.03359i	−0.0106627	−	0.0328164i
$993$	24.8200	+	18.0328i	0.787640	+	0.572254i
$994$	5.58864	−	4.06039i	0.177261	−	0.128788i
$995$	2.83290	−	8.71877i	0.0898089	−	0.276404i
$996$	0.0828935	−	0.255120i	0.00262658	−	0.00808378i
$997$	−10.4470	+	7.59020i	−0.330860	+	0.240384i	−0.740796	−	0.671731i	$-0.765551\pi$
$997$	−10.4470	+	7.59020i	−0.330860	+	0.240384i	0.409935	+	0.912115i	$0.365551\pi$
$998$	−16.8610	−	12.2502i	−0.533724	−	0.387773i
$999$	−1.32038	−	4.06371i	−0.0417750	−	0.128570i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	605.2.g.p.511.2		12
11.2	odd	10		605.2.g.o.251.2		12
11.3	even	5		605.2.a.g.1.2	✓	3
11.4	even	5	inner	605.2.g.p.366.2		12
11.5	even	5	inner	605.2.g.p.81.2		12
11.6	odd	10		605.2.g.o.81.2		12
11.7	odd	10		605.2.g.o.366.2		12
11.8	odd	10		605.2.a.h.1.2	yes	3
11.9	even	5	inner	605.2.g.p.251.2		12
11.10	odd	2		605.2.g.o.511.2		12
33.8	even	10		5445.2.a.bb.1.2		3
33.14	odd	10		5445.2.a.bd.1.2		3
44.3	odd	10		9680.2.a.bz.1.3		3
44.19	even	10		9680.2.a.cb.1.3		3
55.14	even	10		3025.2.a.u.1.2		3
55.19	odd	10		3025.2.a.p.1.2		3

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
605.2.a.g.1.2	✓	3	11.3	even	5
605.2.a.h.1.2	yes	3	11.8	odd	10
605.2.g.o.81.2		12	11.6	odd	10
605.2.g.o.251.2		12	11.2	odd	10
605.2.g.o.366.2		12	11.7	odd	10
605.2.g.o.511.2		12	11.10	odd	2
605.2.g.p.81.2		12	11.5	even	5	inner
605.2.g.p.251.2		12	11.9	even	5	inner
605.2.g.p.366.2		12	11.4	even	5	inner
605.2.g.p.511.2		12	1.1	even	1	trivial
3025.2.a.p.1.2		3	55.19	odd	10
3025.2.a.u.1.2		3	55.14	even	10
5445.2.a.bb.1.2		3	33.8	even	10
5445.2.a.bd.1.2		3	33.14	odd	10
9680.2.a.bz.1.3		3	44.3	odd	10
9680.2.a.cb.1.3		3	44.19	even	10

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:	\( N \)	\(=\)	\( 605 = 5 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	605.g (of order \(5\), degree \(4\), not minimal)

\(f(q)\)	\(=\)	\(q+(-0.431367 - 1.32761i) q^{2} +(1.33928 + 0.973045i) q^{3} +(0.0415626 - 0.0301970i) q^{4} +(-0.309017 + 0.951057i) q^{5} +(0.714103 - 2.19778i) q^{6} +(3.80789 - 2.76660i) q^{7} +(-2.31668 - 1.68317i) q^{8} +(-0.0801932 - 0.246809i) q^{9} +O(q^{10})\)	\(q+(-0.431367 - 1.32761i) q^{2} +(1.33928 + 0.973045i) q^{3} +(0.0415626 - 0.0301970i) q^{4} +(-0.309017 + 0.951057i) q^{5} +(0.714103 - 2.19778i) q^{6} +(3.80789 - 2.76660i) q^{7} +(-2.31668 - 1.68317i) q^{8} +(-0.0801932 - 0.246809i) q^{9} +1.39593 q^{10} +0.0850471 q^{12} +(-1.56096 - 4.80414i) q^{13} +(-5.31556 - 3.86198i) q^{14} +(-1.33928 + 0.973045i) q^{15} +(-1.20350 + 3.70400i) q^{16} +(-1.64115 + 5.05095i) q^{17} +(-0.293074 + 0.212931i) q^{18} +(1.82798 + 1.32811i) q^{19} +(0.0158755 + 0.0488598i) q^{20} +7.79186 q^{21} +1.05137 q^{23} +(-1.46489 - 4.50847i) q^{24} +(-0.809017 - 0.587785i) q^{25} +(-5.70468 + 4.14469i) q^{26} +(1.66743 - 5.13184i) q^{27} +(0.0747231 - 0.229974i) q^{28} +(2.25867 - 1.64102i) q^{29} +(1.86955 + 1.35830i) q^{30} +(1.15587 + 3.55742i) q^{31} -0.290544 q^{32} +7.41363 q^{34} +(1.45449 + 4.47645i) q^{35} +(-0.0107859 - 0.00783644i) q^{36} +(0.640631 - 0.465446i) q^{37} +(0.974678 - 2.99975i) q^{38} +(2.58408 - 7.95298i) q^{39} +(2.31668 - 1.68317i) q^{40} +(-4.97879 - 3.61730i) q^{41} +(-3.36115 - 10.3446i) q^{42} +2.70682 q^{43} +0.259511 q^{45} +(-0.453528 - 1.39582i) q^{46} +(9.09268 + 6.60622i) q^{47} +(-5.21598 + 3.78963i) q^{48} +(4.68288 - 14.4124i) q^{49} +(-0.431367 + 1.32761i) q^{50} +(-7.11277 + 5.16773i) q^{51} +(-0.209948 - 0.152536i) q^{52} +(0.324893 + 0.999916i) q^{53} -7.53235 q^{54} -13.4783 q^{56} +(1.15587 + 3.55742i) q^{57} +(-3.15294 - 2.29075i) q^{58} +(-3.66675 + 2.66405i) q^{59} +(-0.0262810 + 0.0808846i) q^{60} +(-3.05348 + 9.39766i) q^{61} +(4.22426 - 3.06910i) q^{62} +(-0.988189 - 0.717961i) q^{63} +(2.53233 + 7.79372i) q^{64} +5.05137 q^{65} +10.4473 q^{67} +(0.0843130 + 0.259489i) q^{68} +(1.40809 + 1.02303i) q^{69} +(5.31556 - 3.86198i) q^{70} +(-0.324893 + 0.999916i) q^{71} +(-0.229639 + 0.706757i) q^{72} +(-8.17330 + 5.93825i) q^{73} +(-0.894278 - 0.649731i) q^{74} +(-0.511560 - 1.57442i) q^{75} +0.116081 q^{76} -11.6731 q^{78} +(2.90897 + 8.95290i) q^{79} +(-3.15081 - 2.28920i) q^{80} +(6.59682 - 4.79287i) q^{81} +(-2.65468 + 8.17028i) q^{82} +(0.974678 - 2.99975i) q^{83} +(0.323850 - 0.235291i) q^{84} +(-4.29660 - 3.12166i) q^{85} +(-1.16763 - 3.59360i) q^{86} +4.62177 q^{87} -12.5164 q^{89} +(-0.111944 - 0.344529i) q^{90} +(-19.2351 - 13.9751i) q^{91} +(0.0436979 - 0.0317484i) q^{92} +(-1.91348 + 5.88910i) q^{93} +(4.84820 - 14.9212i) q^{94} +(-1.82798 + 1.32811i) q^{95} +(-0.389120 - 0.282712i) q^{96} +(-5.49305 - 16.9059i) q^{97} -21.1541 q^{98} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q + q^{2} - q^{3} - 9 q^{4} + 3 q^{5} + 5 q^{6} - q^{7} - 9 q^{8} - 2 q^{9}+O(q^{10}) \) 12 * q + q^2 - q^3 - 9 * q^4 + 3 * q^5 + 5 * q^6 - q^7 - 9 * q^8 - 2 * q^9	\( 12 q + q^{2} - q^{3} - 9 q^{4} + 3 q^{5} + 5 q^{6} - q^{7} - 9 q^{8} - 2 q^{9} + 4 q^{10} + 36 q^{12} + 6 q^{13} - 5 q^{14} + q^{15} - 13 q^{16} + 4 q^{17} + 20 q^{18} + 4 q^{19} + 9 q^{20} + 68 q^{21} - 24 q^{23} + 17 q^{24} - 3 q^{25} - 12 q^{26} - 13 q^{27} - 25 q^{28} + 2 q^{29} - 5 q^{30} - 14 q^{31} + 108 q^{32} - 32 q^{34} + q^{35} - 2 q^{36} - 4 q^{37} + 18 q^{38} - 4 q^{39} + 9 q^{40} + 9 q^{41} + 35 q^{42} - 28 q^{43} - 8 q^{45} + 8 q^{46} + 15 q^{47} - 7 q^{48} - 18 q^{49} + q^{50} - 20 q^{51} + 2 q^{52} + 6 q^{53} - 76 q^{54} - 12 q^{56} - 14 q^{57} - 30 q^{58} - 10 q^{59} + 9 q^{60} + 3 q^{61} + 24 q^{62} - 12 q^{63} - 29 q^{64} + 24 q^{65} + 76 q^{67} + 8 q^{69} + 5 q^{70} - 6 q^{71} + 48 q^{72} - 12 q^{73} - 28 q^{74} - q^{75} - 64 q^{76} - 8 q^{78} + 2 q^{79} + 13 q^{80} - 3 q^{81} + 27 q^{82} + 18 q^{83} - 31 q^{84} - 4 q^{85} + 3 q^{86} - 40 q^{87} + 44 q^{89} - 20 q^{90} - 20 q^{91} + 34 q^{92} - 20 q^{93} - 59 q^{94} - 4 q^{95} - 7 q^{96} + 2 q^{97} - 144 q^{98}+O(q^{100}) \) 12 * q + q^2 - q^3 - 9 * q^4 + 3 * q^5 + 5 * q^6 - q^7 - 9 * q^8 - 2 * q^9 + 4 * q^10 + 36 * q^12 + 6 * q^13 - 5 * q^14 + q^15 - 13 * q^16 + 4 * q^17 + 20 * q^18 + 4 * q^19 + 9 * q^20 + 68 * q^21 - 24 * q^23 + 17 * q^24 - 3 * q^25 - 12 * q^26 - 13 * q^27 - 25 * q^28 + 2 * q^29 - 5 * q^30 - 14 * q^31 + 108 * q^32 - 32 * q^34 + q^35 - 2 * q^36 - 4 * q^37 + 18 * q^38 - 4 * q^39 + 9 * q^40 + 9 * q^41 + 35 * q^42 - 28 * q^43 - 8 * q^45 + 8 * q^46 + 15 * q^47 - 7 * q^48 - 18 * q^49 + q^50 - 20 * q^51 + 2 * q^52 + 6 * q^53 - 76 * q^54 - 12 * q^56 - 14 * q^57 - 30 * q^58 - 10 * q^59 + 9 * q^60 + 3 * q^61 + 24 * q^62 - 12 * q^63 - 29 * q^64 + 24 * q^65 + 76 * q^67 + 8 * q^69 + 5 * q^70 - 6 * q^71 + 48 * q^72 - 12 * q^73 - 28 * q^74 - q^75 - 64 * q^76 - 8 * q^78 + 2 * q^79 + 13 * q^80 - 3 * q^81 + 27 * q^82 + 18 * q^83 - 31 * q^84 - 4 * q^85 + 3 * q^86 - 40 * q^87 + 44 * q^89 - 20 * q^90 - 20 * q^91 + 34 * q^92 - 20 * q^93 - 59 * q^94 - 4 * q^95 - 7 * q^96 + 2 * q^97 - 144 * q^98

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