LMFDB - Embedded newform 504.2.bt.a.11.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(11,504)]

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([3, 3, 1, 4]))

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

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

chi := DirichletCharacter("504.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.bt (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			11.15
Character	$\chi$	$=$	504.11
Dual form			504.2.bt.a.275.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.22535 - 0.706063i) q^{2} +(-0.326067 - 1.70108i) q^{3} +(1.00295 + 1.73034i) q^{4} +(-1.27390 + 2.20646i) q^{5} +(-0.801525 + 2.31464i) q^{6} +(2.38039 - 1.15488i) q^{7} +(-0.00723210 - 2.82842i) q^{8} +(-2.78736 + 1.10933i) q^{9} +O(q^{10})$	\(q+(-1.22535 - 0.706063i) q^{2} +(-0.326067 - 1.70108i) q^{3} +(1.00295 + 1.73034i) q^{4} +(-1.27390 + 2.20646i) q^{5} +(-0.801525 + 2.31464i) q^{6} +(2.38039 - 1.15488i) q^{7} +(-0.00723210 - 2.82842i) q^{8} +(-2.78736 + 1.10933i) q^{9} +(3.11887 - 1.80422i) q^{10} +(-1.36571 + 0.788496i) q^{11} +(2.61643 - 2.27031i) q^{12} +(-2.79238 + 1.61218i) q^{13} +(-3.73222 - 0.265567i) q^{14} +(4.16874 + 1.44755i) q^{15} +(-1.98818 + 3.47090i) q^{16} +(0.746202 + 0.430820i) q^{17} +(4.19874 + 0.608733i) q^{18} +(3.40644 + 5.90012i) q^{19} +(-5.09559 + 0.00868608i) q^{20} +(-2.74072 - 3.67266i) q^{21} +(2.23020 - 0.00190083i) q^{22} +(-1.07008 + 1.85344i) q^{23} +(-4.80901 + 0.934556i) q^{24} +(-0.745638 - 1.29148i) q^{25} +(4.55993 - 0.00388649i) q^{26} +(2.79593 + 4.37981i) q^{27} +(4.38576 + 2.96059i) q^{28} +(-4.37686 + 7.58095i) q^{29} +(-4.08609 - 4.71715i) q^{30} +0.901282i q^{31} +(4.88688 - 2.84928i) q^{32} +(1.78661 + 2.06609i) q^{33} +(-0.610171 - 1.05477i) q^{34} +(-0.484167 + 6.72343i) q^{35} +(-4.71511 - 3.71049i) q^{36} +(6.50750 - 3.75711i) q^{37} +(-0.00821191 - 9.63486i) q^{38} +(3.65295 + 4.22439i) q^{39} +(6.25000 + 3.58716i) q^{40} +(2.97377 - 1.71690i) q^{41} +(0.765202 + 6.43541i) q^{42} +(2.73869 - 4.74355i) q^{43} +(-2.73411 - 1.57233i) q^{44} +(1.10312 - 7.56337i) q^{45} +(2.61987 - 1.51556i) q^{46} +2.30307 q^{47} +(6.55256 + 2.25031i) q^{48} +(4.33248 - 5.49815i) q^{49} +(0.00179751 + 2.10898i) q^{50} +(0.489548 - 1.40983i) q^{51} +(-5.59024 - 3.21484i) q^{52} +(-0.437017 + 0.756935i) q^{53} +(-0.333565 - 7.34089i) q^{54} -4.01786i q^{55} +(-3.28371 - 6.72438i) q^{56} +(8.92587 - 7.71846i) q^{57} +(10.7158 - 6.19896i) q^{58} +8.05024i q^{59} +(1.67628 + 8.66518i) q^{60} +8.99755i q^{61} +(0.636362 - 1.10438i) q^{62} +(-5.35384 + 5.85972i) q^{63} +(-7.99990 + 0.0409108i) q^{64} -8.21502i q^{65} +(-0.730429 - 3.79314i) q^{66} -7.66167 q^{67} +(0.00293755 + 1.72328i) q^{68} +(3.50177 + 1.21595i) q^{69} +(5.34044 - 7.89668i) q^{70} -4.93073 q^{71} +(3.15782 + 7.87580i) q^{72} +(-3.25114 + 5.63113i) q^{73} +(-10.6267 + 0.00905727i) q^{74} +(-1.95379 + 1.68950i) q^{75} +(-6.79275 + 11.8118i) q^{76} +(-2.34031 + 3.45417i) q^{77} +(-1.49345 - 7.75555i) q^{78} +4.45703i q^{79} +(-5.12566 - 8.80841i) q^{80} +(6.53876 - 6.18422i) q^{81} +(-4.85614 + 0.00413895i) q^{82} +(14.3243 + 8.27014i) q^{83} +(3.60616 - 8.42589i) q^{84} +(-1.90117 + 1.09764i) q^{85} +(-6.70509 + 3.87881i) q^{86} +(14.3230 + 4.97351i) q^{87} +(2.24007 + 3.85711i) q^{88} +(10.6158 - 6.12903i) q^{89} +(-6.69192 + 8.48888i) q^{90} +(-4.78506 + 7.06249i) q^{91} +(-4.28032 + 0.00729636i) q^{92} +(1.53315 - 0.293878i) q^{93} +(-2.82207 - 1.62612i) q^{94} -17.3578 q^{95} +(-6.44031 - 7.38393i) q^{96} +(-8.08265 + 13.9996i) q^{97} +(-9.19083 + 3.67813i) q^{98} +(2.93204 - 3.71286i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q - 2 q^{3} - 2 q^{4} - 2 q^{6} - 2 q^{9}+O(q^{10}) $ 184 * q - 2 * q^3 - 2 * q^4 - 2 * q^6 - 2 * q^9	$ 184 q - 2 q^{3} - 2 q^{4} - 2 q^{6} - 2 q^{9} - 6 q^{10} - 6 q^{11} - 8 q^{12} + 12 q^{14} - 2 q^{16} + 2 q^{18} - 4 q^{19} - 6 q^{20} + 2 q^{22} - 8 q^{24} - 74 q^{25} - 6 q^{26} - 8 q^{27} + 3 q^{30} - 14 q^{33} - 4 q^{34} + 30 q^{35} - 38 q^{36} + 39 q^{38} + 6 q^{40} - 12 q^{41} - 20 q^{42} - 4 q^{43} + 9 q^{44} - 6 q^{46} - 5 q^{48} - 2 q^{49} - 21 q^{50} - 34 q^{51} + 9 q^{52} + 47 q^{54} - 24 q^{56} + 4 q^{57} - 3 q^{58} - 11 q^{60} - 8 q^{64} - 26 q^{66} - 4 q^{67} - 42 q^{68} - 3 q^{70} + 52 q^{72} - 4 q^{73} + 27 q^{74} + 30 q^{75} + 2 q^{76} - 29 q^{78} + 87 q^{80} + 14 q^{81} - 4 q^{82} - 72 q^{83} - 59 q^{84} - 27 q^{86} - 7 q^{88} - 24 q^{89} - 49 q^{90} - 36 q^{91} - 36 q^{92} - 18 q^{94} + 23 q^{96} - 4 q^{97} + 57 q^{98} + 10 q^{99}+O(q^{100}) $ 184 * q - 2 * q^3 - 2 * q^4 - 2 * q^6 - 2 * q^9 - 6 * q^10 - 6 * q^11 - 8 * q^12 + 12 * q^14 - 2 * q^16 + 2 * q^18 - 4 * q^19 - 6 * q^20 + 2 * q^22 - 8 * q^24 - 74 * q^25 - 6 * q^26 - 8 * q^27 + 3 * q^30 - 14 * q^33 - 4 * q^34 + 30 * q^35 - 38 * q^36 + 39 * q^38 + 6 * q^40 - 12 * q^41 - 20 * q^42 - 4 * q^43 + 9 * q^44 - 6 * q^46 - 5 * q^48 - 2 * q^49 - 21 * q^50 - 34 * q^51 + 9 * q^52 + 47 * q^54 - 24 * q^56 + 4 * q^57 - 3 * q^58 - 11 * q^60 - 8 * q^64 - 26 * q^66 - 4 * q^67 - 42 * q^68 - 3 * q^70 + 52 * q^72 - 4 * q^73 + 27 * q^74 + 30 * q^75 + 2 * q^76 - 29 * q^78 + 87 * q^80 + 14 * q^81 - 4 * q^82 - 72 * q^83 - 59 * q^84 - 27 * q^86 - 7 * q^88 - 24 * q^89 - 49 * q^90 - 36 * q^91 - 36 * q^92 - 18 * q^94 + 23 * q^96 - 4 * q^97 + 57 * q^98 + 10 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$73$	$127$	$253$	$281$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$-1$	$-1$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−1.22535	−	0.706063i	−0.866451	−	0.499262i
$2$	−1.22535	−	0.706063i	−0.866451	−	0.499262i
$3$	−0.326067	−	1.70108i	−0.188255	−	0.982120i
$3$	−0.326067	−	1.70108i	−0.188255	−	0.982120i
$4$	1.00295	+	1.73034i	0.501476	+	0.865172i
$5$	−1.27390	+	2.20646i	−0.569705	+	0.986758i	0.426890	+	0.904304i	$0.359609\pi$
$5$	−1.27390	+	2.20646i	−0.569705	+	0.986758i	−0.996595	+	0.0824543i	$0.973724\pi$
$6$	−0.801525	+	2.31464i	−0.327221	+	0.944948i
$7$	2.38039	−	1.15488i	0.899702	−	0.436505i
$7$	2.38039	−	1.15488i	0.899702	−	0.436505i
$8$	−0.00723210	−	2.82842i	−0.00255694	−	0.999997i
$9$	−2.78736	+	1.10933i	−0.929120	+	0.369778i
$10$	3.11887	−	1.80422i	0.986272	−	0.570546i
$11$	−1.36571	+	0.788496i	−0.411779	+	0.237740i	−0.691554	−	0.722325i	$-0.743073\pi$
$11$	−1.36571	+	0.788496i	−0.411779	+	0.237740i	0.279775	+	0.960066i	$0.409740\pi$
$12$	2.61643	−	2.27031i	0.755298	−	0.655382i
$13$	−2.79238	+	1.61218i	−0.774466	+	0.447138i	−0.834466	−	0.551060i	$-0.814224\pi$
$13$	−2.79238	+	1.61218i	−0.774466	+	0.447138i	0.0599992	+	0.998198i	$0.480890\pi$
$14$	−3.73222	−	0.265567i	−0.997478	−	0.0709758i
$15$	4.16874	+	1.44755i	1.07636	+	0.373757i
$16$	−1.98818	+	3.47090i	−0.497045	+	0.867725i
$17$	0.746202	+	0.430820i	0.180981	+	0.104489i	0.587753	−	0.809040i	$-0.300013\pi$
$17$	0.746202	+	0.430820i	0.180981	+	0.104489i	−0.406773	+	0.913529i	$0.633346\pi$
$18$	4.19874	+	0.608733i	0.989653	+	0.143480i
$19$	3.40644	+	5.90012i	0.781490	+	1.35358i	0.931073	+	0.364832i	$0.118874\pi$
$19$	3.40644	+	5.90012i	0.781490	+	1.35358i	−0.149583	+	0.988749i	$0.547793\pi$
$20$	−5.09559	+	0.00868608i	−1.13941	+	0.00194227i
$21$	−2.74072	−	3.67266i	−0.598074	−	0.801441i
$22$	2.23020	−	0.00190083i	0.475481	−	0.000405258i
$23$	−1.07008	+	1.85344i	−0.223128	+	0.386468i	−0.955756	−	0.294160i	$-0.904960\pi$
$23$	−1.07008	+	1.85344i	−0.223128	+	0.386468i	0.732628	+	0.680629i	$0.238293\pi$
$24$	−4.80901	+	0.934556i	−0.981636	+	0.190765i
$25$	−0.745638	−	1.29148i	−0.149128	−	0.258296i
$26$	4.55993	−	0.00388649i	0.894276	−	0.000762203i
$27$	2.79593	+	4.37981i	0.538077	+	0.842895i
$28$	4.38576	+	2.96059i	0.828831	+	0.559500i
$29$	−4.37686	+	7.58095i	−0.812763	+	1.40775i	0.0981599	+	0.995171i	$0.468704\pi$
$29$	−4.37686	+	7.58095i	−0.812763	+	1.40775i	−0.910923	+	0.412576i	$0.864629\pi$
$30$	−4.08609	−	4.71715i	−0.746015	−	0.861230i
$31$			0.901282i			0.161875i	0.996719	+	0.0809375i	$0.0257914\pi$
$31$			0.901282i			0.161875i	−0.996719	+	0.0809375i	$0.974209\pi$
$32$	4.88688	−	2.84928i	0.863887	−	0.503686i
$33$	1.78661	+	2.06609i	0.311009	+	0.359660i
$34$	−0.610171	−	1.05477i	−0.104643	−	0.180891i
$35$	−0.484167	+	6.72343i	−0.0818392	+	1.13647i
$36$	−4.71511	−	3.71049i	−0.785852	−	0.618414i
$37$	6.50750	−	3.75711i	1.06983	−	0.617665i	0.141692	−	0.989911i	$-0.454746\pi$
$37$	6.50750	−	3.75711i	1.06983	−	0.617665i	0.928134	+	0.372246i	$0.121412\pi$
$38$	−0.00821191	−	9.63486i	−0.00133215	−	1.56298i
$39$	3.65295	+	4.22439i	0.584941	+	0.676443i
$40$	6.25000	+	3.58716i	0.988211	+	0.567180i
$41$	2.97377	−	1.71690i	0.464424	−	0.268135i	−0.249478	−	0.968380i	$-0.580259\pi$
$41$	2.97377	−	1.71690i	0.464424	−	0.268135i	0.713903	+	0.700245i	$0.246926\pi$
$42$	0.765202	+	6.43541i	0.118073	+	0.993005i
$43$	2.73869	−	4.74355i	0.417646	−	0.723384i	−0.578056	−	0.815997i	$-0.696189\pi$
$43$	2.73869	−	4.74355i	0.417646	−	0.723384i	0.995702	+	0.0926128i	$0.0295219\pi$
$44$	−2.73411	−	1.57233i	−0.412183	−	0.237038i
$45$	1.10312	−	7.56337i	0.164443	−	1.12748i
$46$	2.61987	−	1.51556i	0.386278	−	0.223457i
$47$	2.30307			0.335938			0.167969	−	0.985792i	$-0.446279\pi$
$47$	2.30307			0.335938			0.167969	+	0.985792i	$0.446279\pi$
$48$	6.55256	+	2.25031i	0.945781	+	0.324804i
$49$	4.33248	−	5.49815i	0.618926	−	0.785449i
$50$	0.00179751	+	2.10898i	0.000254206	+	0.298255i
$51$	0.489548	−	1.40983i	0.0685505	−	0.197415i
$52$	−5.59024	−	3.21484i	−0.775227	−	0.445818i
$53$	−0.437017	+	0.756935i	−0.0600289	+	0.103973i	−0.894478	−	0.447112i	$-0.852453\pi$
$53$	−0.437017	+	0.756935i	−0.0600289	+	0.103973i	0.834449	+	0.551085i	$0.185786\pi$
$54$	−0.333565	−	7.34089i	−0.0453925	−	0.998969i
$55$		−	4.01786i		−	0.541768i
$56$	−3.28371	−	6.72438i	−0.438805	−	0.898583i
$57$	8.92587	−	7.71846i	1.18226	−	1.02234i
$58$	10.7158	−	6.19896i	1.40705	−	0.813963i
$59$			8.05024i			1.04805i	0.851702	+	0.524026i	$0.175571\pi$
$59$			8.05024i			1.04805i	−0.851702	+	0.524026i	$0.824429\pi$
$60$	1.67628	+	8.66518i	0.216407	+	1.11867i
$61$			8.99755i			1.15202i	0.817443	+	0.576009i	$0.195391\pi$
$61$			8.99755i			1.15202i	−0.817443	+	0.576009i	$0.804609\pi$
$62$	0.636362	−	1.10438i	0.0808180	−	0.140257i
$63$	−5.35384	+	5.85972i	−0.674521	+	0.738256i
$64$	−7.99990	+	0.0409108i	−0.999987	+	0.00511385i
$65$		−	8.21502i		−	1.01895i
$66$	−0.730429	−	3.79314i	−0.0899095	−	0.466903i
$67$	−7.66167			−0.936022			−0.468011	−	0.883723i	$-0.655029\pi$
$67$	−7.66167			−0.936022			−0.468011	+	0.883723i	$0.655029\pi$
$68$	0.00293755	+	1.72328i	0.000356230	+	0.208978i
$69$	3.50177	+	1.21595i	0.421563	+	0.146384i
$70$	5.34044	−	7.89668i	0.638304	−	0.943834i
$71$	−4.93073			−0.585169			−0.292585	−	0.956240i	$-0.594515\pi$
$71$	−4.93073			−0.585169			−0.292585	+	0.956240i	$0.594515\pi$
$72$	3.15782	+	7.87580i	0.372152	+	0.928172i
$73$	−3.25114	+	5.63113i	−0.380517	+	0.659074i	−0.991136	−	0.132850i	$-0.957587\pi$
$73$	−3.25114	+	5.63113i	−0.380517	+	0.659074i	0.610619	+	0.791924i	$0.290921\pi$
$74$	−10.6267	+	0.00905727i	−1.23533	+	0.00105289i
$75$	−1.95379	+	1.68950i	−0.225604	+	0.195087i
$76$	−6.79275	+	11.8118i	−0.779182	+	1.35491i
$77$	−2.34031	+	3.45417i	−0.266703	+	0.393639i
$78$	−1.49345	−	7.75555i	−0.169100	−	0.878143i
$79$			4.45703i			0.501455i	0.968058	+	0.250727i	$0.0806698\pi$
$79$			4.45703i			0.501455i	−0.968058	+	0.250727i	$0.919330\pi$
$80$	−5.12566	−	8.80841i	−0.573066	−	0.984810i
$81$	6.53876	−	6.18422i	0.726529	−	0.687136i
$82$	−4.85614	+	0.00413895i	−0.536271	+	0.000457070i
$83$	14.3243	+	8.27014i	1.57230	+	0.907766i	0.995887	+	0.0906045i	$0.0288799\pi$
$83$	14.3243	+	8.27014i	1.57230	+	0.907766i	0.576409	+	0.817161i	$0.304453\pi$
$84$	3.60616	−	8.42589i	0.393465	−	0.919340i
$85$	−1.90117	+	1.09764i	−0.206211	+	0.119056i
$86$	−6.70509	+	3.87881i	−0.723028	+	0.418262i
$87$	14.3230	+	4.97351i	1.53558	+	0.533216i
$88$	2.24007	+	3.85711i	0.238793	+	0.411169i
$89$	10.6158	−	6.12903i	1.12527	−	0.649675i	0.182530	−	0.983200i	$-0.441571\pi$
$89$	10.6158	−	6.12903i	1.12527	−	0.649675i	0.942741	+	0.333525i	$0.108238\pi$
$90$	−6.69192	+	8.48888i	−0.705390	+	0.894807i
$91$	−4.78506	+	7.06249i	−0.501610	+	0.740350i
$92$	−4.28032	+	0.00729636i	−0.446255	+	0.000760698i
$93$	1.53315	−	0.293878i	0.158981	−	0.0304738i
$94$	−2.82207	−	1.62612i	−0.291074	−	0.167721i
$95$	−17.3578			−1.78088
$96$	−6.44031	−	7.38393i	−0.657311	−	0.753619i
$97$	−8.08265	+	13.9996i	−0.820668	+	1.42144i	0.0845170	+	0.996422i	$0.473065\pi$
$97$	−8.08265	+	13.9996i	−0.820668	+	1.42144i	−0.905185	+	0.425017i	$0.860268\pi$
$98$	−9.19083	+	3.67813i	−0.928414	+	0.371548i
$99$	2.93204	−	3.71286i	0.294681	−	0.373156i
$100$	1.48687	−	2.58550i	0.148687	−	0.258550i
$101$	−8.39578	−	14.5419i	−0.835411	−	1.44697i	−0.893695	−	0.448674i	$-0.851896\pi$
$101$	−8.39578	−	14.5419i	−0.835411	−	1.44697i	0.0582846	−	0.998300i	$-0.481437\pi$
$102$	−1.59529	+	1.38188i	−0.157958	+	0.136826i
$103$	4.40923	+	2.54567i	0.434455	+	0.250832i	0.701243	−	0.712923i	$-0.252629\pi$
$103$	4.40923	+	2.54567i	0.434455	+	0.250832i	−0.266788	+	0.963755i	$0.585962\pi$
$104$	4.58011	+	7.88635i	0.449117	+	0.773321i
$105$	11.5950	−	1.36868i	1.13155	−	0.133569i
$106$	1.06994	−	0.618947i	0.103922	−	0.0601175i
$107$	−9.80822	+	5.66278i	−0.948197	+	0.547442i	−0.892520	−	0.451007i	$-0.851065\pi$
$107$	−9.80822	+	5.66278i	−0.948197	+	0.547442i	−0.0556764	+	0.998449i	$0.517732\pi$
$108$	−4.77440	+	9.23066i	−0.459417	+	0.888221i
$109$	−14.2654	−	8.23611i	−1.36637	−	0.788876i	−0.375911	−	0.926656i	$-0.622670\pi$
$109$	−14.2654	−	8.23611i	−1.36637	−	0.788876i	−0.990463	+	0.137779i	$0.956004\pi$
$110$	−2.83686	+	4.92327i	−0.270484	+	0.469415i
$111$	−8.51303	−	9.84472i	−0.808021	−	0.934420i
$112$	−0.724143	+	10.5582i	−0.0684251	+	0.997656i
$113$	−5.83171	+	3.36694i	−0.548601	+	0.316735i	−0.748558	−	0.663070i	$-0.769253\pi$
$113$	−5.83171	+	3.36694i	−0.548601	+	0.316735i	0.199956	+	0.979805i	$0.435920\pi$
$114$	−16.3870	+	3.15558i	−1.53478	+	0.295547i
$115$	−2.72635	−	4.72218i	−0.254234	−	0.440346i
$116$	−17.5074	+	0.0298436i	−1.62552	+	0.00277091i
$117$	5.99492	−	7.59141i	0.554231	−	0.701826i
$118$	5.68397	−	9.86434i	0.523252	−	0.908086i
$119$	2.27380	+	0.163741i	0.208439	+	0.0150101i
$120$	4.06414	−	11.8014i	0.371003	−	1.07732i
$121$	−4.25655	+	7.37256i	−0.386959	+	0.670233i
$122$	6.35283	−	11.0251i	0.575158	−	0.998167i
$123$	−3.89024	−	4.49880i	−0.350771	−	0.405643i
$124$	−1.55953	+	0.903942i	−0.140050	+	0.0811764i
$125$	−8.93952			−0.799575
$126$	10.6976	−	3.40004i	0.953022	−	0.302900i
$127$		−	12.9900i		−	1.15267i	−0.817212	−	0.576337i	$-0.804482\pi$
$127$		−	12.9900i		−	1.15267i	0.817212	−	0.576337i	$-0.195518\pi$
$128$	9.83153	+	5.59830i	0.868993	+	0.494824i
$129$	−8.96216	−	3.11202i	−0.789074	−	0.273998i
$130$	−5.80032	+	10.0663i	−0.508722	+	0.882869i
$131$	4.93202	+	2.84750i	0.430913	+	0.248788i	0.699735	−	0.714402i	$-0.253301\pi$
$131$	4.93202	+	2.84750i	0.430913	+	0.248788i	−0.268823	+	0.963190i	$0.586635\pi$
$132$	−1.78316	+	5.16364i	−0.155205	+	0.449437i
$133$	14.9226	+	10.1105i	1.29395	+	0.876694i
$134$	9.38821	+	5.40962i	0.811018	+	0.467320i
$135$	−13.2256	+	0.589668i	−1.13828	+	0.0507505i
$136$	1.21314	−	2.11369i	0.104026	−	0.181247i
$137$	16.4748	−	9.51176i	1.40754	−	0.812644i	0.412390	−	0.911007i	$-0.364694\pi$
$137$	16.4748	−	9.51176i	1.40754	−	0.812644i	0.995151	+	0.0983632i	$0.0313607\pi$
$138$	−3.43234	−	3.96243i	−0.292180	−	0.337305i
$139$	−6.26913	−	10.8585i	−0.531741	−	0.921003i	−0.999313	−	0.0370478i	$-0.988205\pi$
$139$	−6.26913	−	10.8585i	−0.531741	−	0.921003i	0.467572	−	0.883955i	$-0.345129\pi$
$140$	−12.1194	+	5.90550i	−1.02428	+	0.499105i
$141$	−0.750956	−	3.91772i	−0.0632419	−	0.329931i
$142$	6.04185	+	3.48140i	0.507021	+	0.292153i
$143$	2.54240	−	4.40356i	0.212606	−	0.368244i
$144$	1.69139	−	11.8802i	0.140949	−	0.990017i
$145$	−11.1514	−	19.3147i	−0.926070	−	1.60400i
$146$	7.95970	−	4.60459i	0.658750	−	0.381078i
$147$	−10.7655	−	5.57714i	−0.887921	−	0.459995i
$148$	13.0278	+	7.49202i	1.07088	+	0.615840i
$149$	7.64326	−	13.2385i	0.626160	−	1.08454i	−0.362155	−	0.932118i	$-0.617959\pi$
$149$	7.64326	−	13.2385i	0.626160	−	1.08454i	0.988315	−	0.152424i	$-0.0487078\pi$
$150$	3.58696	−	0.690726i	0.292874	−	0.0563976i
$151$	−5.29508	+	3.05711i	−0.430907	+	0.248784i	−0.699733	−	0.714404i	$-0.746698\pi$
$151$	−5.29508	+	3.05711i	−0.430907	+	0.248784i	0.268826	+	0.963189i	$0.413364\pi$
$152$	16.6634	−	9.67750i	1.35158	−	0.784949i
$153$	−2.55786	−	0.373064i	−0.206791	−	0.0301604i
$154$	5.30655	−	2.58015i	0.427614	−	0.207915i
$155$	−1.98864	−	1.14814i	−0.159731	−	0.0922210i
$156$	−3.64591	+	10.5577i	−0.291906	+	0.845294i
$157$		−	0.273727i		−	0.0218458i	−0.999940	−	0.0109229i	$-0.996523\pi$
$157$		−	0.273727i		−	0.0218458i	0.999940	−	0.0109229i	$-0.00347694\pi$
$158$	3.14694	−	5.46141i	0.250357	−	0.434486i
$159$	1.43011	+	0.496590i	0.113415	+	0.0393822i
$160$	0.0614197	+	14.4124i	0.00485565	+	1.13940i
$161$	−0.406703	+	5.64772i	−0.0320527	+	0.445103i
$162$	−12.3787	+	2.96104i	−0.972563	+	0.232642i
$163$	0.0610389	+	0.105722i	0.00478094	+	0.00828082i	0.868406	−	0.495854i	$-0.165145\pi$
$163$	0.0610389	+	0.105722i	0.00478094	+	0.00828082i	−0.863625	+	0.504135i	$0.831812\pi$
$164$	5.95338	+	3.42367i	0.464881	+	0.267343i
$165$	−6.83470	+	1.31009i	−0.532081	+	0.101990i
$166$	−11.7130	−	20.2476i	−0.909105	−	1.57152i
$167$	5.38456	+	9.32634i	0.416670	+	0.721694i	0.995602	−	0.0936819i	$-0.0298637\pi$
$167$	5.38456	+	9.32634i	0.416670	+	0.721694i	−0.578932	+	0.815376i	$0.696530\pi$
$168$	−10.3680	+	7.77846i	−0.799909	+	0.600121i
$169$	−1.30175	+	2.25470i	−0.100135	+	0.173438i
$170$	3.10460	−	0.00264609i	0.238112	−	0.000202946i
$171$	−16.0402	−	12.6669i	−1.22662	−	0.968662i
$172$	10.9547	−	0.0186737i	0.835291	−	0.00142386i
$173$	−8.01938			−0.609702			−0.304851	−	0.952400i	$-0.598607\pi$
$173$	−8.01938			−0.609702			−0.304851	+	0.952400i	$0.598607\pi$
$174$	−14.0390	−	16.2072i	−1.06429	−	1.22866i
$175$	−3.26642	−	2.21310i	−0.246918	−	0.167295i
$176$	−0.0215054	−	6.30793i	−0.00162103	−	0.475478i
$177$	13.6941	−	2.62492i	1.02931	−	0.197301i
$178$	−17.3355	+	0.0147753i	−1.29935	+	0.00110745i
$179$	−11.4951	−	6.63670i	−0.859185	−	0.496050i	0.00455457	−	0.999990i	$-0.498550\pi$
$179$	−11.4951	−	6.63670i	−0.859185	−	0.496050i	−0.863739	+	0.503939i	$0.831884\pi$
$180$	14.1936	−	5.67692i	1.05793	−	0.423132i
$181$		−	5.72476i		−	0.425518i	−0.977105	−	0.212759i	$-0.931755\pi$
$181$		−	5.72476i		−	0.425518i	0.977105	−	0.212759i	$-0.0682449\pi$
$182$	10.8499	−	5.27545i	0.804249	−	0.391042i
$183$	15.3056	−	2.93380i	1.13142	−	0.216873i
$184$	5.25004	+	3.01324i	0.387038	+	0.222139i
$185$			19.1447i			1.40755i
$186$	−2.08614	−	0.722401i	−0.152963	−	0.0529690i
$187$	−1.35880			−0.0993652
$188$	2.30987	+	3.98511i	0.168465	+	0.290644i
$189$	11.7136	+	7.19667i	0.852038	+	0.523481i
$190$	21.2694	+	12.2557i	1.54304	+	0.889123i
$191$	24.1034			1.74406			0.872032	−	0.489449i	$-0.162802\pi$
$191$	24.1034			1.74406			0.872032	+	0.489449i	$0.162802\pi$
$192$	2.67809	+	13.5951i	0.193275	+	0.981145i
$193$	−25.3608			−1.82551			−0.912753	−	0.408511i	$-0.866048\pi$
$193$	−25.3608			−1.82551			−0.912753	+	0.408511i	$0.866048\pi$
$194$	19.7886	−	11.4475i	1.42074	−	0.821879i
$195$	−13.9744	+	2.67865i	−1.00073	+	0.191822i
$196$	13.8589	+	1.98231i	0.989925	+	0.141594i
$197$	−10.0691			−0.717392			−0.358696	−	0.933454i	$-0.616779\pi$
$197$	−10.0691			−0.717392			−0.358696	+	0.933454i	$0.616779\pi$
$198$	−6.21427	+	2.47934i	−0.441629	+	0.176199i
$199$	18.1773	+	10.4947i	1.28856	+	0.743948i	0.978397	−	0.206737i	$-0.0662843\pi$
$199$	18.1773	+	10.4947i	1.28856	+	0.743948i	0.310159	+	0.950685i	$0.399618\pi$
$200$	−3.64746	+	2.11831i	−0.257914	+	0.149787i
$201$	2.49822	+	13.0331i	0.176211	+	0.919287i
$202$	0.0202397	+	23.7468i	0.00142406	+	1.67082i
$203$	−1.66350	+	23.1004i	−0.116755	+	1.62133i
$204$	2.93048	−	0.566901i	0.205175	−	0.0396910i
$205$			8.74865i			0.611033i
$206$	−3.60544	−	6.23253i	−0.251203	−	0.434241i
$207$	0.926627	−	6.35328i	0.0644050	−	0.441583i
$208$	−0.0439705	−	12.8974i	−0.00304881	−	0.894272i
$209$	−9.30444	−	5.37192i	−0.643602	−	0.371584i
$210$	−15.1742	−	6.50967i	−1.04712	−	0.449210i
$211$	−2.09387	−	3.62668i	−0.144148	−	0.249671i	0.784907	−	0.619614i	$-0.212711\pi$
$211$	−2.09387	−	3.62668i	−0.144148	−	0.249671i	−0.929055	+	0.369943i	$0.879377\pi$
$212$	−1.74807	+	0.00297980i	−0.120058	+	0.000204653i
$213$	1.60775	+	8.38757i	0.110161	+	0.574707i
$214$	16.0168	−	0.0136513i	1.09488	−	0.000933183i
$215$	6.97763	+	12.0856i	0.475870	+	0.824231i
$216$	12.3677	−	7.93974i	0.841517	−	0.540231i
$217$	1.04088	+	2.14540i	0.0706593	+	0.145639i
$218$	11.6648	+	20.1643i	0.790041	+	1.36570i
$219$	10.6391	+	3.69432i	0.718924	+	0.249639i
$220$	6.95227	−	4.02971i	0.468722	−	0.271683i
$221$	−2.77824			−0.186885
$222$	3.48042	+	18.0739i	0.233591	+	1.21304i
$223$	−9.93142	−	5.73391i	−0.665057	−	0.383971i	0.129144	−	0.991626i	$-0.458777\pi$
$223$	−9.93142	−	5.73391i	−0.665057	−	0.383971i	−0.794201	+	0.607655i	$0.792110\pi$
$224$	8.34208	−	12.4262i	0.557379	−	0.830258i
$225$	3.51104	+	2.77267i	0.234070	+	0.184844i
$226$	9.52314	−	0.00811670i	0.633470	−	0.000539915i
$227$	22.5373	−	13.0119i	1.49585	−	0.863632i	0.495865	−	0.868400i	$-0.334851\pi$
$227$	22.5373	−	13.0119i	1.49585	−	0.863632i	0.999989	+	0.00476792i	$0.00151768\pi$
$228$	22.3078	+	7.70358i	1.47737	+	0.510182i
$229$	−15.9621	−	9.21573i	−1.05481	−	0.608992i	−0.130815	−	0.991407i	$-0.541759\pi$
$229$	−15.9621	−	9.21573i	−1.05481	−	0.608992i	−0.923991	+	0.382414i	$0.875093\pi$
$230$	0.00657243	+	7.71129i	0.000433373	+	0.508468i
$231$	6.63892	+	2.85477i	0.436809	+	0.187830i
$232$	21.4737	+	12.3248i	1.40982	+	0.809161i
$233$	0.405359	−	0.234034i	0.0265559	−	0.0153321i	−0.486663	−	0.873590i	$-0.661786\pi$
$233$	0.405359	−	0.234034i	0.0265559	−	0.0153321i	0.513219	+	0.858258i	$0.328453\pi$
$234$	−12.7059	+	5.06932i	−0.830608	+	0.331392i
$235$	−2.93388	+	5.08164i	−0.191386	+	0.331489i
$236$	−13.9297	+	8.07400i	−0.906745	+	0.525572i
$237$	7.58177	−	1.45329i	0.492489	−	0.0944013i
$238$	−2.67058	−	1.80608i	−0.173108	−	0.117071i
$239$	−1.53573	−	2.65997i	−0.0993383	−	0.172059i	0.812073	−	0.583556i	$-0.198339\pi$
$239$	−1.53573	−	2.65997i	−0.0993383	−	0.172059i	−0.911411	+	0.411497i	$0.865006\pi$
$240$	−13.3125	+	11.5913i	−0.859319	+	0.748215i
$241$	9.13866	+	15.8286i	0.588673	+	1.01961i	0.994407	+	0.105620i	$0.0336826\pi$
$241$	9.13866	+	15.8286i	0.588673	+	1.01961i	−0.405734	+	0.913991i	$0.632984\pi$
$242$	10.4212	−	6.02855i	0.669903	−	0.387530i
$243$	−12.6519	−	9.10650i	−0.811623	−	0.584182i
$244$	−15.5688	+	9.02410i	−0.996693	+	0.577709i
$245$	6.61228	+	16.5635i	0.422443	+	1.05820i
$246$	1.59047	+	8.25934i	0.101404	+	0.526596i
$247$	−19.0241	−	10.9836i	−1.21048	−	0.698869i
$248$	2.54920	−	0.00651817i	0.161875	−	0.000413904i
$249$	9.39751	−	27.0634i	0.595543	−	1.71508i
$250$	10.9540	+	6.31186i	0.692793	+	0.399197i
$251$			27.4831i			1.73472i	0.497684	+	0.867358i	$0.334184\pi$
$251$			27.4831i			1.73472i	−0.497684	+	0.867358i	$0.665816\pi$
$252$	−15.5090	−	3.38698i	−0.976974	−	0.213359i
$253$		−	3.37502i		−	0.212186i
$254$	−9.17173	+	15.9172i	−0.575486	+	0.998735i
$255$	2.48709	+	2.87615i	0.155748	+	0.180111i
$256$	−8.09429	−	13.8015i	−0.505893	−	0.862596i
$257$	−5.50651	−	3.17918i	−0.343486	−	0.198312i	0.318326	−	0.947981i	$-0.396879\pi$
$257$	−5.50651	−	3.17918i	−0.343486	−	0.198312i	−0.661813	+	0.749669i	$0.730213\pi$
$258$	8.78447	+	10.1412i	0.546898	+	0.631360i
$259$	11.1513	−	16.4588i	0.692911	−	1.02270i
$260$	14.2148	−	8.23926i	0.881565	−	0.510977i
$261$	3.79010	−	25.9862i	0.234601	−	1.60851i
$262$	−4.03292	−	6.97150i	−0.249155	−	0.430700i
$263$	4.49345	+	7.78289i	0.277078	+	0.479914i	0.970657	−	0.240467i	$-0.0773005\pi$
$263$	4.49345	+	7.78289i	0.277078	+	0.479914i	−0.693579	+	0.720380i	$0.743967\pi$
$264$	5.83085	−	5.06822i	0.358864	−	0.311928i
$265$	−1.11343	−	1.92852i	−0.0683975	−	0.118468i
$266$	−11.1467	−	22.9252i	−0.683448	−	1.40563i
$267$	−13.8874	−	16.0598i	−0.849897	−	0.982847i
$268$	−7.68428	−	13.2573i	−0.469392	−	0.809820i
$269$	−1.45526	+	2.52059i	−0.0887288	+	0.153683i	−0.906974	−	0.421186i	$-0.861614\pi$
$269$	−1.45526	+	2.52059i	−0.0887288	+	0.153683i	0.818245	+	0.574869i	$0.194947\pi$
$270$	16.6223	+	8.61556i	1.01160	+	0.524326i
$271$	1.49770	−	0.864695i	0.0909786	−	0.0525265i	−0.453820	−	0.891093i	$-0.649939\pi$
$271$	1.49770	−	0.864695i	0.0909786	−	0.0525265i	0.544799	+	0.838567i	$0.316606\pi$
$272$	−2.97892	+	1.73345i	−0.180623	+	0.105106i
$273$	13.5741	+	5.83693i	0.821543	+	0.353267i
$274$	−26.9033	+	0.0229300i	−1.62529	+	0.00138525i
$275$	2.03666	+	1.17586i	0.122815	+	0.0709073i
$276$	1.40808	+	7.27880i	0.0847567	+	0.438133i
$277$	27.4155	−	15.8283i	1.64724	−	0.951033i	0.669073	−	0.743197i	$-0.266691\pi$
$277$	27.4155	−	15.8283i	1.64724	−	0.951033i	0.978164	−	0.207836i	$-0.0666421\pi$
$278$	0.0151130	+	17.7318i	0.000906419	+	1.06348i
$279$	−0.999822	−	2.51220i	−0.0598578	−	0.150401i
$280$	19.0202	+	1.32080i	1.13667	+	0.0789331i
$281$	−18.0353	−	10.4127i	−1.07590	−	0.621169i	−0.146109	−	0.989268i	$-0.546675\pi$
$281$	−18.0353	−	10.4127i	−1.07590	−	0.621169i	−0.929786	+	0.368100i	$0.880009\pi$
$282$	−1.84597	+	5.33079i	−0.109926	+	0.317444i
$283$	27.5351			1.63679			0.818396	−	0.574655i	$-0.194864\pi$
$283$	27.5351			1.63679			0.818396	+	0.574655i	$0.194864\pi$
$284$	−4.94528	−	8.53185i	−0.293448	−	0.506272i
$285$	5.65981	+	29.5271i	0.335258	+	1.74903i
$286$	−6.22450	+	3.60080i	−0.368063	+	0.212920i
$287$	5.09589	−	7.52126i	0.300801	−	0.443966i
$288$	−10.4607	+	13.3631i	−0.616403	+	0.787431i
$289$	−8.12879	−	14.0795i	−0.478164	−	0.828204i
$290$	0.0268826	+	31.5408i	0.00157860	+	1.85214i
$291$	26.4499	+	9.18445i	1.55052	+	0.538402i
$292$	−13.0045	+	0.0221679i	−0.761032	+	0.00129728i
$293$	4.51508	+	7.82034i	0.263774	+	0.456869i	0.967242	−	0.253858i	$-0.0816995\pi$
$293$	4.51508	+	7.82034i	0.263774	+	0.456869i	−0.703468	+	0.710727i	$0.748366\pi$
$294$	9.25363	+	14.4350i	0.539683	+	0.841868i
$295$	−17.7625	−	10.2552i	−1.03417	−	0.597080i
$296$	−10.6737	−	18.3788i	−0.620398	−	1.06824i
$297$	−7.27191	−	3.77699i	−0.421959	−	0.219163i
$298$	−18.7129	+	10.8252i	−1.08401	+	0.627085i
$299$		−	6.90067i		−	0.399076i
$300$	−4.88297	−	1.68624i	−0.281918	−	0.0973552i
$301$	1.04089	−	14.4543i	0.0599957	−	0.833135i
$302$	8.64682	−	0.00736980i	0.497569	−	0.000424084i
$303$	−21.9994	+	19.0235i	−1.26383	+	1.09287i
$304$	−27.2513	+	0.0929070i	−1.56297	+	0.00532858i
$305$	−19.8527	−	11.4620i	−1.13676	−	0.656310i
$306$	2.87086	+	2.26314i	0.164116	+	0.129375i
$307$	−25.1574			−1.43581			−0.717903	−	0.696143i	$-0.754898\pi$
$307$	−25.1574			−1.43581			−0.717903	+	0.696143i	$0.754898\pi$
$308$	−8.32411	−	0.585174i	−0.474310	−	0.0333434i
$309$	2.89269	−	8.33053i	0.164559	−	0.473907i
$310$	1.62611	+	2.81098i	0.0923571	+	0.159653i
$311$	27.3233			1.54936			0.774681	−	0.632353i	$-0.217911\pi$
$311$	27.3233			1.54936			0.774681	+	0.632353i	$0.217911\pi$
$312$	11.9219	−	10.3626i	0.674945	−	0.586668i
$313$	−12.2682			−0.693442			−0.346721	−	0.937968i	$-0.612705\pi$
$313$	−12.2682			−0.693442			−0.346721	+	0.937968i	$0.612705\pi$
$314$	−0.193269	+	0.335411i	−0.0109068	+	0.0189283i
$315$	−6.10897	−	19.2777i	−0.344202	−	1.08618i
$316$	−7.71219	+	4.47018i	−0.433845	+	0.251467i
$317$	21.4940			1.20722			0.603611	−	0.797279i	$-0.293728\pi$
$317$	21.4940			1.20722			0.603611	+	0.797279i	$0.293728\pi$
$318$	−1.40175	−	1.61824i	−0.0786064	−	0.0907464i
$319$		−	13.8046i		−	0.772907i
$320$	10.1008	−	17.7035i	0.564651	−	0.989658i
$321$	12.8310	+	14.8381i	0.716156	+	0.828185i
$322$	4.48600	−	6.63326i	0.249995	−	0.369657i
$323$			5.87025i			0.326629i
$324$	17.2589	+	5.11183i	0.958827	+	0.283991i
$325$	4.16420	+	2.40420i	0.230988	+	0.133361i
$326$	−0.000147147	−	0.172644i	−8.14970e−6	−	0.00956187i
$327$	−9.35884	+	26.9521i	−0.517545	+	1.49045i
$328$	−4.87763	−	8.39864i	−0.269322	−	0.463737i
$329$	5.48221	−	2.65979i	0.302244	−	0.146639i
$330$	9.29989	+	3.22041i	0.511942	+	0.177278i
$331$	22.0586			1.21245			0.606226	−	0.795293i	$-0.292683\pi$
$331$	22.0586			1.21245			0.606226	+	0.795293i	$0.292683\pi$
$332$	0.0563899	+	33.0805i	0.00309480	+	1.81553i
$333$	−13.9709	+	17.6914i	−0.765599	+	0.969483i
$334$	−0.0129806	−	15.2298i	−0.000710266	−	0.833340i
$335$	9.76020	−	16.9052i	0.533257	−	0.923628i
$336$	18.1965	−	2.21085i	0.992700	−	0.120612i
$337$	2.81641	+	4.87817i	0.153420	+	0.265731i	0.932482	−	0.361215i	$-0.117638\pi$
$337$	2.81641	+	4.87817i	0.153420	+	0.265731i	−0.779063	+	0.626946i	$0.784305\pi$
$338$	3.18705	−	1.84367i	0.173353	−	0.100282i
$339$	7.62897	+	8.82237i	0.414349	+	0.479166i
$340$	−3.80608	−	2.18880i	−0.206414	−	0.118704i
$341$	−0.710657	−	1.23089i	−0.0384842	−	0.0666567i
$342$	10.7112	+	26.8467i	0.579193	+	1.45170i
$343$	3.96326	−	18.0912i	0.213996	−	0.976835i
$344$	−13.4365	−	7.71185i	−0.724450	−	0.415795i
$345$	−7.14385	+	6.17750i	−0.384612	+	0.332585i
$346$	9.82653	+	5.66219i	0.528277	+	0.304401i
$347$		−	22.3529i		−	1.19997i	−0.800013	−	0.599983i	$-0.795174\pi$
$347$		−	22.3529i		−	1.19997i	0.800013	−	0.599983i	$-0.204826\pi$
$348$	5.75936	+	29.7718i	0.308734	+	1.59594i
$349$	16.0952	+	9.29259i	0.861558	+	0.497421i	0.864534	−	0.502575i	$-0.167614\pi$
$349$	16.0952	+	9.29259i	0.861558	+	0.497421i	−0.00297571	+	0.999996i	$0.500947\pi$
$350$	2.43991	+	5.01811i	0.130419	+	0.268229i
$351$	−14.8683	−	7.72255i	−0.793614	−	0.412199i
$352$	−4.42744	+	7.74459i	−0.235983	+	0.412788i
$353$	−5.01128	+	2.89327i	−0.266724	+	0.153993i	−0.627398	−	0.778699i	$-0.715880\pi$
$353$	−5.01128	+	2.89327i	−0.266724	+	0.153993i	0.360674	+	0.932692i	$0.382547\pi$
$354$	−18.6334	−	6.45247i	−0.990354	−	0.342945i
$355$	6.28125	−	10.8794i	0.333374	−	0.577421i
$356$	21.2524	+	12.2218i	1.12638	+	0.647756i
$357$	−0.462874	−	3.92131i	−0.0244979	−	0.207538i
$358$	9.39957	+	16.2485i	0.496783	+	0.858761i
$359$	−8.47319	−	14.6760i	−0.447198	−	0.774570i	0.551004	−	0.834502i	$-0.314245\pi$
$359$	−8.47319	−	14.6760i	−0.447198	−	0.774570i	−0.998202	+	0.0599326i	$0.980911\pi$
$360$	−21.4004	−	3.06538i	−1.12790	−	0.161560i
$361$	−13.7076	+	23.7423i	−0.721454	+	1.24960i
$362$	−4.04204	+	7.01482i	−0.212445	+	0.368691i
$363$	13.9292	+	4.83679i	0.731096	+	0.253866i
$364$	−17.0197	−	1.19646i	−0.892075	−	0.0627117i
$365$	−8.28324	−	14.3470i	−0.433565	−	0.750956i
$366$	−20.8261	−	7.21176i	−1.08860	−	0.376965i
$367$	10.3743	−	5.98962i	0.541535	−	0.312655i	−0.204166	−	0.978936i	$-0.565448\pi$
$367$	10.3743	−	5.98962i	0.541535	−	0.312655i	0.745701	+	0.666281i	$0.232115\pi$
$368$	−4.30558	−	7.39911i	−0.224444	−	0.385706i
$369$	−6.38434	+	8.08453i	−0.332356	+	0.420864i
$370$	13.5174	−	23.4589i	0.702734	−	1.21957i
$371$	−0.166096	+	2.30650i	−0.00862326	+	0.119748i
$372$	2.04619	+	2.35814i	0.106090	+	0.122264i
$373$	25.0691	+	14.4736i	1.29803	+	0.749417i	0.980063	−	0.198686i	$-0.0636673\pi$
$373$	25.0691	+	14.4736i	1.29803	+	0.749417i	0.317965	+	0.948103i	$0.397001\pi$
$374$	1.66500	+	0.959397i	0.0860951	+	0.0496093i
$375$	2.91488	+	15.2069i	0.150524	+	0.785279i
$376$	−0.0166561	−	6.51406i	−0.000858972	−	0.335937i
$377$		−	28.2252i		−	1.45367i
$378$	−9.27190	−	17.0889i	−0.476895	−	0.878960i
$379$	38.1786			1.96110			0.980551	−	0.196263i	$-0.0628807\pi$
$379$	38.1786			1.96110			0.980551	+	0.196263i	$0.0628807\pi$
$380$	−17.4091	−	30.0350i	−0.893066	−	1.54076i
$381$	−22.0970	+	4.23560i	−1.13206	+	0.216996i
$382$	−29.5351	−	17.0185i	−1.51115	−	0.870744i
$383$	−6.38714	+	11.0628i	−0.326368	+	0.565285i	−0.981788	−	0.189979i	$-0.939158\pi$
$383$	−6.38714	+	11.0628i	−0.326368	+	0.565285i	0.655421	+	0.755264i	$0.272491\pi$
$384$	6.31743	−	18.5497i	0.322385	−	0.946609i
$385$	−4.64016	−	9.56405i	−0.236485	−	0.487429i
$386$	31.0757	+	17.9063i	1.58171	+	0.911406i
$387$	−2.37154	+	16.2601i	−0.120552	+	0.826547i
$388$	−32.3305	+	0.0551115i	−1.64133	+	0.00279786i
$389$	6.43188	+	11.1403i	0.326109	+	0.564838i	0.981736	−	0.190247i	$-0.0609289\pi$
$389$	6.43188	+	11.1403i	0.326109	+	0.564838i	−0.655627	+	0.755085i	$0.727596\pi$
$390$	19.0148	+	6.58455i	0.962852	+	0.333422i
$391$	−1.59700	+	0.922026i	−0.0807636	+	0.0466289i
$392$	−15.5824	−	12.2143i	−0.787029	−	0.616916i
$393$	3.23567	−	9.31825i	0.163218	−	0.470043i
$394$	12.3381	+	7.10940i	0.621585	+	0.358167i
$395$	−9.83424	−	5.67780i	−0.494815	−	0.285681i
$396$	9.36520	+	1.34962i	0.470619	+	0.0678208i
$397$	−0.312459	+	0.180398i	−0.0156819	+	0.00905393i	−0.507820	−	0.861463i	$-0.669549\pi$
$397$	−0.312459	+	0.180398i	−0.0156819	+	0.00905393i	0.492139	+	0.870517i	$0.336215\pi$
$398$	−14.8636	−	25.6939i	−0.745046	−	1.28792i
$399$	12.3331	−	28.6813i	0.617426	−	1.43586i
$400$	5.96507	−	0.0203365i	0.298253	−	0.00101682i
$401$	9.18955	+	5.30559i	0.458904	+	0.264948i	0.711583	−	0.702602i	$-0.247978\pi$
$401$	9.18955	+	5.30559i	0.458904	+	0.264948i	−0.252679	+	0.967550i	$0.581312\pi$
$402$	6.14103	−	17.7340i	0.306287	−	0.884492i
$403$	−1.45303	−	2.51672i	−0.0723805	−	0.125367i
$404$	16.7419	−	29.1124i	0.832943	−	1.44840i
$405$	5.31551	+	22.3056i	0.264130	+	1.10837i
$406$	18.3487	−	27.1314i	0.910629	−	1.34651i
$407$	−5.92493	+	10.2623i	−0.293688	+	0.508682i
$408$	−3.99112	−	1.37445i	−0.197590	−	0.0680455i
$409$	−0.823351			−0.0407121			−0.0203560	−	0.999793i	$-0.506480\pi$
$409$	−0.823351			−0.0407121			−0.0203560	+	0.999793i	$0.506480\pi$
$410$	6.17710	−	10.7201i	0.305065	−	0.529430i
$411$	−21.5522	−	24.9236i	−1.06309	−	1.22939i
$412$	0.0173577	+	10.1827i	0.000855150	+	0.501664i
$413$	9.29710	+	19.1627i	0.457480	+	0.942934i
$414$	−5.62125	+	7.13071i	−0.276269	+	0.350455i
$415$	−36.4954	+	21.0706i	−1.79149	+	1.03432i
$416$	−9.05247	+	15.8348i	−0.443834	+	0.776365i
$417$	−16.4270	+	14.2049i	−0.804432	+	0.695617i
$418$	7.60826	+	13.1520i	0.372132	+	0.643285i
$419$	16.1324	−	9.31404i	0.788119	−	0.455021i	−0.0511810	−	0.998689i	$-0.516299\pi$
$419$	16.1324	−	9.31404i	0.788119	−	0.455021i	0.839300	+	0.543669i	$0.182965\pi$
$420$	13.9975	+	18.6906i	0.683007	+	0.912007i
$421$	−29.4951	−	17.0290i	−1.43750	−	0.829943i	−0.439828	−	0.898082i	$-0.644961\pi$
$421$	−29.4951	−	17.0290i	−1.43750	−	0.829943i	−0.997676	+	0.0681391i	$0.978294\pi$
$422$	0.00504769	+	5.92234i	0.000245718	+	0.288295i
$423$	−6.41950	+	2.55488i	−0.312127	+	0.124222i
$424$	2.14409	+	1.23059i	0.104126	+	0.0597628i
$425$		−	1.28494i		−	0.0623289i
$426$	3.95210	−	11.4129i	0.191480	−	0.552955i
$427$	10.3911	+	21.4176i	0.502862	+	1.03647i
$428$	−19.6357	−	11.2921i	−0.949128	−	0.545824i
$429$	−8.31980	−	2.88897i	−0.401684	−	0.139481i
$430$	−0.0168210	−	19.7357i	−0.000811180	−	0.951740i
$431$	6.21954	−	10.7726i	0.299585	−	0.518896i	−0.676456	−	0.736483i	$-0.736485\pi$
$431$	6.21954	−	10.7726i	0.299585	−	0.518896i	0.976041	+	0.217587i	$0.0698186\pi$
$432$	−20.7607	+	0.996553i	−0.998850	+	0.0479467i
$433$	29.2274			1.40458			0.702290	−	0.711891i	$-0.252161\pi$
$433$	29.2274			1.40458			0.702290	+	0.711891i	$0.252161\pi$
$434$	0.239351	−	3.36378i	0.0114892	−	0.161467i
$435$	−29.2199	+	25.2673i	−1.40098	+	1.21147i
$436$	−0.0561579	−	32.9444i	−0.00268948	−	1.57775i
$437$	−14.5807			−0.697488
$438$	−10.4282	−	12.0387i	−0.498277	−	0.575232i
$439$		−	8.16997i		−	0.389931i	−0.980810	−	0.194966i	$-0.937540\pi$
$439$		−	8.16997i		−	0.389931i	0.980810	−	0.194966i	$-0.0624596\pi$
$440$	−11.3642	+	0.0290576i	−0.541766	+	0.00138526i
$441$	−5.97691	+	20.1315i	−0.284615	+	0.958642i
$442$	3.40431	+	1.96161i	0.161926	+	0.0933043i
$443$			0.00311643i			0.000148066i	1.00000		7.40329e-5i	$2.35654e-5\pi$
$443$			0.00311643i			0.000148066i	−1.00000		7.40329e-5i	$0.999976\pi$
$444$	8.49661	−	24.6042i	0.403231	−	1.16767i
$445$			31.2310i			1.48049i
$446$	8.12094	+	14.0382i	0.384538	+	0.664730i
$447$	−25.0120	−	8.68517i	−1.18303	−	0.410795i
$448$	−18.9956	+	9.33634i	−0.897458	+	0.441101i
$449$			4.89054i			0.230799i	0.993319	+	0.115399i	$0.0368148\pi$
$449$			4.89054i			0.230799i	−0.993319	+	0.115399i	$0.963185\pi$
$450$	−2.34457	−	5.87650i	−0.110524	−	0.277021i
$451$	−2.70754	+	4.68961i	−0.127493	+	0.220825i
$452$	−11.6749	−	6.71399i	−0.549140	−	0.315800i
$453$	6.92695	+	8.01054i	0.325457	+	0.376368i
$454$	−36.8033	+	0.0313679i	−1.72726	+	0.00147217i
$455$	−9.48740	−	19.5549i	−0.444776	−	0.916749i
$456$	−21.8956	−	25.1903i	−1.02536	−	1.17964i
$457$	−17.5753			−0.822136			−0.411068	−	0.911605i	$-0.634844\pi$
$457$	−17.5753			−0.822136			−0.411068	+	0.911605i	$0.634844\pi$
$458$	13.0522	+	22.5627i	0.609891	+	1.05429i
$459$	0.199420	+	4.47277i	0.00930812	+	0.208771i
$460$	5.43660	−	9.45365i	0.253483	−	0.440779i
$461$	−0.256068	+	0.443523i	−0.0119263	+	0.0206569i	−0.871927	−	0.489636i	$-0.837130\pi$
$461$	−0.256068	+	0.443523i	−0.0119263	+	0.0206569i	0.860001	+	0.510293i	$0.170463\pi$
$462$	−6.11934	−	8.18557i	−0.284697	−	0.380827i
$463$	−6.30970	+	3.64290i	−0.293236	+	0.169300i	−0.639400	−	0.768874i	$-0.720817\pi$
$463$	−6.30970	+	3.64290i	−0.293236	+	0.169300i	0.346164	+	0.938174i	$0.387484\pi$
$464$	−17.6107	−	30.2639i	−0.817558	−	1.40497i
$465$	−1.30465	+	3.75721i	−0.0605019	+	0.174237i
$466$	−0.661948		0.000564187i	−0.0306641		2.61354e-5i
$467$	7.04898	−	4.06973i	0.326188	−	0.188325i	−0.327960	−	0.944692i	$-0.606361\pi$
$467$	7.04898	−	4.06973i	0.326188	−	0.188325i	0.654147	+	0.756367i	$0.273028\pi$
$468$	19.1484	+	2.75946i	0.885133	+	0.127556i
$469$	−18.2377	+	8.84835i	−0.842141	+	0.408579i
$470$	7.18298	−	4.15526i	0.331326	−	0.191668i
$471$	−0.465632	+	0.0892534i	−0.0214552	+	0.00411258i
$472$	22.7694	−	0.0582202i	1.04805	−	0.00267980i
$473$			8.63778i			0.397165i
$474$	−10.3164	−	3.57242i	−0.473849	−	0.164087i
$475$	5.07994	−	8.79871i	0.233083	−	0.403712i
$476$	1.99718	+	4.09867i	0.0915406	+	0.187862i
$477$	0.378430	−	2.59465i	0.0173271	−	0.118801i
$478$	0.00370220	+	4.34370i	0.000169334	+	0.198676i
$479$	6.56474	+	11.3705i	0.299950	+	0.519529i	0.976124	−	0.217213i	$-0.0696965\pi$
$479$	6.56474	+	11.3705i	0.299950	+	0.519529i	−0.676174	+	0.736742i	$0.736363\pi$
$480$	24.4966	−	4.80388i	1.11811	−	0.219266i
$481$	−12.1143	+	20.9825i	−0.552363	+	0.956721i
$482$	−0.0220306	−	25.8480i	−0.00100347	−	1.17734i
$483$	9.73985	−	1.14970i	0.443178	−	0.0523131i
$484$	−17.0262	+	0.0290233i	−0.773917	+	0.00131924i
$485$	−20.5929	−	35.6680i	−0.935078	−	1.61960i
$486$	9.07326	+	20.0917i	0.411572	+	0.911377i
$487$	5.68311	+	3.28115i	0.257526	+	0.148683i	0.623206	−	0.782058i	$-0.285830\pi$
$487$	5.68311	+	3.28115i	0.257526	+	0.148683i	−0.365679	+	0.930741i	$0.619163\pi$
$488$	25.4488	−	0.0650712i	1.15201	−	0.00294564i
$489$	0.159940	−	0.138305i	0.00723273	−	0.00625436i
$490$	3.59254	−	24.9647i	0.162294	−	1.12779i
$491$	−3.03589	+	1.75277i	−0.137008	+	0.0791015i	−0.566937	−	0.823761i	$-0.691872\pi$
$491$	−3.03589	+	1.75277i	−0.137008	+	0.0791015i	0.429929	+	0.902863i	$0.358538\pi$
$492$	3.88274	−	11.2435i	0.175047	−	0.506897i
$493$	−6.53205	+	3.77128i	−0.294189	+	0.169850i
$494$	15.5561	+	26.8909i	0.699900	+	1.20988i
$495$	4.45714	+	11.1992i	0.200334	+	0.503367i
$496$	−3.12826	−	1.79191i	−0.140463	−	0.0804591i
$497$	−11.7370	+	5.69442i	−0.526478	+	0.255430i
$498$	−30.6237	+	26.5269i	−1.37228	+	1.18870i
$499$	−9.03438	+	15.6480i	−0.404434	+	0.700501i	−0.994255	−	0.107033i	$-0.965865\pi$
$499$	−9.03438	+	15.6480i	−0.404434	+	0.700501i	0.589821	+	0.807534i	$0.299198\pi$
$500$	−8.96590	−	15.4684i	−0.400967	−	0.691770i
$501$	14.1091	−	12.2006i	0.630350	−	0.545083i
$502$	19.4048	−	33.6763i	0.866077	−	1.50305i
$503$	14.0161			0.624948			0.312474	−	0.949926i	$-0.398842\pi$
$503$	14.0161			0.624948			0.312474	+	0.949926i	$0.398842\pi$
$504$	16.6125	+	15.1005i	0.739978	+	0.672631i
$505$	42.7815			1.90375
$506$	−2.38298	+	4.13558i	−0.105936	+	0.183849i
$507$	4.25988	+	1.47920i	0.189188	+	0.0656936i
$508$	22.4771	−	13.0283i	0.997261	−	0.578038i
$509$	−11.8105	+	20.4564i	−0.523492	+	0.906715i	0.476134	+	0.879373i	$0.342038\pi$
$509$	−11.8105	+	20.4564i	−0.523492	+	0.906715i	−0.999626	+	0.0273425i	$0.991296\pi$
$510$	−1.01681	−	5.28032i	−0.0450250	−	0.233816i
$511$	−1.23565	+	17.1590i	−0.0546620	+	0.759068i
$512$	0.173569	+	22.6268i	0.00767074	+	0.999971i
$513$	−16.3173	+	31.4159i	−0.720425	+	1.38705i
$514$	4.50268	+	7.78354i	0.198605	+	0.343317i
$515$	−11.2338	+	6.48586i	−0.495022	+	0.285801i
$516$	−3.60374	−	18.6288i	−0.158646	−	0.820088i
$517$	−3.14534	+	1.81596i	−0.138332	+	0.0798660i
$518$	−25.2852	+	12.2942i	−1.11097	+	0.540175i
$519$	2.61485	+	13.6416i	0.114779	+	0.598801i
$520$	−23.2355	+	0.0594119i	−1.01894	+	0.00260538i
$521$	11.1413	+	6.43245i	0.488111	+	0.281811i	0.723790	−	0.690020i	$-0.242398\pi$
$521$	11.1413	+	6.43245i	0.488111	+	0.281811i	−0.235680	+	0.971831i	$0.575732\pi$
$522$	−22.9921	+	29.1661i	−1.00634	+	1.27657i
$523$	−9.47253	−	16.4069i	−0.414205	−	0.717424i	0.581140	−	0.813804i	$-0.302607\pi$
$523$	−9.47253	−	16.4069i	−0.414205	−	0.717424i	−0.995345	+	0.0963797i	$0.969274\pi$
$524$	0.0194157	+	11.3900i	0.000848179	+	0.497574i
$525$	−2.69960	+	6.27807i	−0.117820	+	0.273997i
$526$	−0.0108324	−	12.7094i	−0.000472315	−	0.554156i
$527$	−0.388290	+	0.672539i	−0.0169142	+	0.0292962i
$528$	−10.7233	+	2.09339i	−0.466672	+	0.0911031i
$529$	9.20985	+	15.9519i	0.400428	+	0.693562i
$530$	0.00268415	+	3.14926i	0.000116592	+	0.136795i
$531$	−8.93040	−	22.4389i	−0.387546	−	0.973766i
$532$	−2.52805	+	35.9616i	−0.109605	+	1.55913i
$533$	−5.53592	+	9.58850i	−0.239787	+	0.415324i
$534$	5.67766	+	29.4843i	0.245697	+	1.27591i
$535$		−	28.8552i		−	1.24752i
$536$	0.0554100	+	21.6704i	0.00239335	+	0.936019i
$537$	−7.54140	+	21.7181i	−0.325436	+	0.937206i
$538$	3.56289	−	2.06109i	0.153607	−	0.0888598i
$539$	−1.58167	+	10.9250i	−0.0681273	+	0.470575i
$540$	−14.2850	−	22.2934i	−0.614727	−	0.959357i
$541$	−0.497868	+	0.287444i	−0.0214050	+	0.0123582i	−0.510664	−	0.859780i	$-0.670601\pi$
$541$	−0.497868	+	0.287444i	−0.0214050	+	0.0123582i	0.489259	+	0.872138i	$0.337267\pi$
$542$	−2.44573	+	0.00208452i	−0.105053	+	8.95380e-5i
$543$	−9.73828	+	1.86665i	−0.417910	+	0.0801058i
$544$	4.87413	−	0.0207715i	0.208976	−	0.000890572i
$545$	36.3453	−	20.9840i	1.55686	−	0.898854i
$546$	−12.5118	−	16.7364i	−0.535454	−	0.716254i
$547$	17.8560	−	30.9275i	0.763468	−	1.32236i	−0.177585	−	0.984105i	$-0.556829\pi$
$547$	17.8560	−	30.9275i	0.763468	−	1.32236i	0.941053	−	0.338259i	$-0.109838\pi$
$548$	32.9821	+	18.9673i	1.40892	+	0.810244i
$549$	−9.98128	−	25.0794i	−0.425990	−	1.07036i
$550$	−1.66538	−	2.87885i	−0.0710119	−	0.122755i
$551$	−59.6380			−2.54067
$552$	3.41390	−	9.91326i	0.145305	−	0.421936i
$553$	5.14735	+	10.6094i	0.218888	+	0.451160i
$554$	−44.7693	+	0.0381574i	−1.90206	+	0.00162115i
$555$	32.5667	−	6.24245i	1.38238	−	0.264977i
$556$	12.5012	−	21.7383i	0.530170	−	0.921908i
$557$	14.7129	−	25.4835i	0.623406	−	1.07977i	−0.365441	−	0.930835i	$-0.619082\pi$
$557$	14.7129	−	25.4835i	0.623406	−	1.07977i	0.988847	−	0.148936i	$-0.0475849\pi$
$558$	−0.548640	+	3.78425i	−0.0232258	+	0.160200i
$559$			17.6610i			0.746982i
$560$	−22.3737	−	15.0479i	−0.945463	−	0.635889i
$561$	0.443059	+	2.31143i	0.0187060	+	0.0975886i
$562$	14.7475	+	25.4932i	0.622086	+	1.07537i
$563$		−	8.32623i		−	0.350909i	−0.984488	−	0.175454i	$-0.943861\pi$
$563$		−	8.32623i		−	0.350909i	0.984488	−	0.175454i	$-0.0561395\pi$
$564$	6.02583	−	5.22869i	0.253733	−	0.220168i
$565$		−	17.1566i		−	0.721782i
$566$	−33.7400	−	19.4415i	−1.41820	−	0.817187i
$567$	8.42271	−	22.2724i	0.353721	−	0.935351i
$568$	0.0356595	+	13.9462i	0.00149624	+	0.585168i
$569$		−	0.446515i		−	0.0187189i	−0.999956	−	0.00935943i	$-0.997021\pi$
$569$		−	0.446515i		−	0.0187189i	0.999956	−	0.00935943i	$-0.00297924\pi$
$570$	13.9127	−	40.1771i	0.582741	−	1.68283i
$571$	45.6009			1.90834			0.954169	−	0.299269i	$-0.0967428\pi$
$571$	45.6009			1.90834			0.954169	+	0.299269i	$0.0967428\pi$
$572$	10.1696	−	0.0173353i	0.425211	−	0.000724826i
$573$	−7.85933	−	41.0019i	−0.328328	−	1.71288i
$574$	−11.5547	+	5.61813i	−0.482284	+	0.234496i
$575$	3.19158			0.133098
$576$	22.2532	−	8.98858i	0.927217	−	0.374524i
$577$	9.15345	−	15.8542i	0.381063	−	0.660021i	−0.610151	−	0.792285i	$-0.708891\pi$
$577$	9.15345	−	15.8542i	0.381063	−	0.660021i	0.991214	+	0.132264i	$0.0422247\pi$
$578$	0.0195961	+	22.9917i	0.000815090	+	0.956328i
$579$	8.26930	+	43.1407i	0.343660	+	1.79287i
$580$	22.2368	−	38.6674i	0.923335	−	1.60558i
$581$	43.6484	+	3.14321i	1.81084	+	0.130402i
$582$	−25.9255	−	29.9294i	−1.07465	−	1.24061i
$583$		−	1.37834i		−	0.0570852i
$584$	15.9507	+	9.15485i	0.660045	+	0.378830i
$585$	9.11319	+	22.8982i	0.376784	+	0.946725i
$586$	−0.0108845	−	12.7706i	−0.000449635	−	0.527547i
$587$	−27.1262	−	15.6613i	−1.11962	−	0.646412i	−0.178315	−	0.983973i	$-0.557065\pi$
$587$	−27.1262	−	15.6613i	−1.11962	−	0.646412i	−0.941303	+	0.337561i	$0.890398\pi$
$588$	−1.14687	−	24.2216i	−0.0472961	−	0.998881i
$589$	−5.31767	+	3.07016i	−0.219111	+	0.126504i
$590$	14.5244	+	25.1076i	0.597962	+	1.03366i
$591$	3.28319	+	17.1283i	0.135053	+	0.704566i
$592$	0.102471	+	30.0567i	0.00421154	+	1.23532i
$593$	−13.3833	+	7.72684i	−0.549585	+	0.317303i	−0.748955	−	0.662621i	$-0.769444\pi$
$593$	−13.3833	+	7.72684i	−0.549585	+	0.317303i	0.199369	+	0.979924i	$0.436111\pi$
$594$	6.24382	+	9.76255i	0.256187	+	0.400562i
$595$	−3.25787	+	4.80845i	−0.133560	+	0.197127i
$596$	30.5730	−	0.0521156i	1.25232	−	0.00213474i
$597$	11.9253	−	34.3431i	0.488070	−	1.40557i
$598$	−4.87230	+	8.45571i	−0.199243	+	0.345780i
$599$	−38.5345			−1.57448			−0.787238	−	0.616649i	$-0.788490\pi$
$599$	−38.5345			−1.57448			−0.787238	+	0.616649i	$0.788490\pi$
$600$	4.79274	+	5.51391i	0.195663	+	0.225105i
$601$	−15.3534	+	26.5928i	−0.626277	+	1.08474i	0.362015	+	0.932172i	$0.382089\pi$
$601$	−15.3534	+	26.5928i	−0.626277	+	1.08474i	−0.988292	+	0.152572i	$0.951244\pi$
$602$	−11.4811	+	16.9767i	−0.467936	+	0.691917i
$603$	21.3558	−	8.49935i	0.869677	−	0.346120i
$604$	−10.6006	−	6.09617i	−0.431331	−	0.248050i
$605$	−10.8448	−	18.7838i	−0.440905	−	0.763670i
$606$	40.3887	−	7.77748i	1.64068	−	0.315939i
$607$	12.1445	+	7.01160i	0.492928	+	0.284592i	0.725788	−	0.687918i	$-0.241475\pi$
$607$	12.1445	+	7.01160i	0.492928	+	0.284592i	−0.232860	+	0.972510i	$0.574808\pi$
$608$	33.4579	+	19.1273i	1.35690	+	0.775715i
$609$	39.8380	−	4.70251i	1.61432	−	0.190555i
$610$	16.2336	+	28.0621i	0.657279	+	1.13620i
$611$	−6.43106	+	3.71297i	−0.260173	+	0.150211i
$612$	−1.91988	−	4.80014i	−0.0776064	−	0.194034i
$613$	20.2248	+	11.6768i	0.816871	+	0.471621i	0.849336	−	0.527852i	$-0.177002\pi$
$613$	20.2248	+	11.6768i	0.816871	+	0.471621i	−0.0324650	+	0.999473i	$0.510336\pi$
$614$	30.8265	+	17.7627i	1.24406	+	0.716843i
$615$	14.8822	−	2.85265i	0.600107	−	0.115030i
$616$	9.78676	+	6.59439i	0.394320	+	0.265695i
$617$	3.18790	−	1.84053i	0.128340	−	0.0740971i	−0.434456	−	0.900693i	$-0.643059\pi$
$617$	3.18790	−	1.84053i	0.128340	−	0.0740971i	0.562795	+	0.826596i	$0.309726\pi$
$618$	−9.42643	+	8.16536i	−0.379186	+	0.328459i
$619$	−13.2726	−	22.9888i	−0.533472	−	0.924000i	−0.999236	−	0.0390909i	$-0.987554\pi$
$619$	−13.2726	−	22.9888i	−0.533472	−	0.924000i	0.465764	−	0.884909i	$-0.345780\pi$
$620$	−0.00782861	−	4.59256i	−0.000314404	−	0.184442i
$621$	−11.1096	+	0.495324i	−0.445812	+	0.0198767i
$622$	−33.4805	−	19.2919i	−1.34245	−	0.773537i
$623$	18.1914	−	26.8495i	0.728821	−	1.07570i
$624$	−21.9251	+	4.28020i	−0.877708	+	0.171345i
$625$	15.1162	−	26.1821i	0.604649	−	1.04728i
$626$	15.0329	+	8.66215i	0.600834	+	0.346209i
$627$	−6.10421	+	17.5792i	−0.243779	+	0.702047i
$628$	0.473642	−	0.274535i	0.0189004	−	0.0109551i
$629$	6.47455			0.258157
$630$	−6.12567	+	27.9352i	−0.244053	+	1.11297i
$631$		−	18.6069i		−	0.740731i	−0.928886	−	0.370365i	$-0.879233\pi$
$631$		−	18.6069i		−	0.740731i	0.928886	−	0.370365i	$-0.120767\pi$
$632$	12.6063	−	0.0322337i	0.501453	−	0.00128219i
$633$	−5.48654	+	4.74438i	−0.218071	+	0.188572i
$634$	−26.3376	−	15.1761i	−1.04600	−	0.602720i
$635$	28.6618	+	16.5479i	1.13741	+	0.656684i
$636$	0.575055	+	2.97263i	0.0228024	+	0.117872i
$637$	−3.23392	+	22.3376i	−0.128133	+	0.885050i
$638$	−9.74688	+	16.9154i	−0.385883	+	0.669686i
$639$	13.7437	−	5.46982i	0.543693	−	0.216383i
$640$	−24.8768	+	14.5612i	−0.983341	+	0.575582i
$641$	10.3558	−	5.97893i	0.409030	−	0.236154i	−0.281343	−	0.959607i	$-0.590780\pi$
$641$	10.3558	−	5.97893i	0.409030	−	0.236154i	0.690373	+	0.723454i	$0.257446\pi$
$642$	−5.24575	−	27.2414i	−0.207033	−	1.07513i
$643$	−6.37259	−	11.0377i	−0.251311	−	0.435283i	0.712576	−	0.701595i	$-0.247528\pi$
$643$	−6.37259	−	11.0377i	−0.251311	−	0.435283i	−0.963887	+	0.266312i	$0.914195\pi$
$644$	−10.1804	+	4.96065i	−0.401164	+	0.195477i
$645$	18.2834	−	15.8102i	0.719909	−	0.622527i
$646$	4.14476	−	7.19309i	0.163073	−	0.283008i
$647$	3.28651	−	5.69240i	0.129206	−	0.223792i	−0.794163	−	0.607705i	$-0.792090\pi$
$647$	3.28651	−	5.69240i	0.129206	−	0.223792i	0.923369	+	0.383913i	$0.125424\pi$
$648$	−17.5389	−	18.4496i	−0.688991	−	0.724770i
$649$	−6.34758	−	10.9943i	−0.249164	−	0.431565i
$650$	−3.40508	−	5.88617i	−0.133558	−	0.230875i
$651$	3.31011	−	2.47016i	0.129733	−	0.0968133i
$652$	−0.121717	+	0.211653i	−0.00476681	+	0.00828896i
$653$	−23.4688	+	40.6491i	−0.918405	+	1.59072i	−0.116566	+	0.993183i	$0.537189\pi$
$653$	−23.4688	+	40.6491i	−0.918405	+	1.59072i	−0.801839	+	0.597541i	$0.796145\pi$
$654$	30.4977	−	26.4177i	1.19255	−	1.03301i
$655$	−12.5658	+	7.25486i	−0.490986	+	0.283471i
$656$	0.0468268	+	13.7352i	0.00182828	+	0.536268i
$657$	2.81529	−	19.3026i	0.109835	−	0.753066i
$658$	−8.59558	−	0.611621i	−0.335091	−	0.0238435i
$659$	15.9328	+	9.19883i	0.620655	+	0.358335i	0.777124	−	0.629348i	$-0.216678\pi$
$659$	15.9328	+	9.19883i	0.620655	+	0.358335i	−0.156469	+	0.987683i	$0.550011\pi$
$660$	−9.12178	−	10.5124i	−0.355065	−	0.409196i
$661$			16.4079i			0.638195i	0.947722	+	0.319097i	$0.103380\pi$
$661$			16.4079i			0.638195i	−0.947722	+	0.319097i	$0.896620\pi$
$662$	−27.0295	−	15.5748i	−1.05053	−	0.605331i
$663$	0.905891	+	4.72601i	0.0351819	+	0.183543i
$664$	23.2878	−	40.5749i	0.903742	−	1.57461i
$665$	−41.3183	+	20.0463i	−1.60226	+	0.777362i
$666$	29.6104	−	11.8138i	1.14738	−	0.457775i
$667$	−9.36721	−	16.2245i	−0.362700	−	0.628215i
$668$	−10.7373	+	18.6710i	−0.415439	+	0.722403i
$669$	−6.51554	+	18.7638i	−0.251905	+	0.725450i
$670$	−23.8957	+	13.8234i	−0.923173	+	0.534044i
$671$	−7.09453	−	12.2881i	−0.273881	−	0.474376i
$672$	−23.8580	−	10.1388i	−0.920343	−	0.391113i
$673$	−7.88775	+	13.6620i	−0.304050	+	0.526631i	−0.977049	−	0.213013i	$-0.931672\pi$
$673$	−7.88775	+	13.6620i	−0.304050	+	0.526631i	0.672999	+	0.739643i	$0.265006\pi$
$674$	−0.00678953	−	7.96601i	−0.000261523	−	0.306839i
$675$	3.57170	−	6.87665i	0.137475	−	0.264682i
$676$	−5.20699	+	0.00887598i	−0.200269	+	0.000341384i
$677$	26.3206			1.01158			0.505790	−	0.862656i	$-0.331201\pi$
$677$	26.3206			1.01158			0.505790	+	0.862656i	$0.331201\pi$
$678$	−3.11899	−	16.1970i	−0.119784	−	0.622042i
$679$	−3.07195	+	42.6589i	−0.117891	+	1.63710i
$680$	3.11834	+	5.36937i	0.119583	+	0.205906i
$681$	−29.4830	−	34.0951i	−1.12979	−	1.30653i
$682$	0.00171318	+	2.01004i	6.56012e−5	+	0.0769685i
$683$	−6.74844	−	3.89621i	−0.258222	−	0.149084i	0.365301	−	0.930889i	$-0.380966\pi$
$683$	−6.74844	−	3.89621i	−0.258222	−	0.149084i	−0.623523	+	0.781805i	$0.714299\pi$
$684$	5.83058	−	40.4593i	0.222938	−	1.54700i
$685$			48.4681i			1.85187i
$686$	−17.6299	+	19.3697i	−0.673113	+	0.739540i
$687$	−10.4720	+	30.1578i	−0.399532	+	1.15059i
$688$	11.0194	+	18.9367i	0.420110	+	0.721956i
$689$		−	2.81820i		−	0.107365i
$690$	13.1154	−	2.52558i	0.499295	−	0.0961471i
$691$	4.35164			0.165544			0.0827722	−	0.996568i	$-0.473623\pi$
$691$	4.35164			0.165544			0.0827722	+	0.996568i	$0.473623\pi$
$692$	−8.04305	−	13.8763i	−0.305751	−	0.527497i
$693$	2.69146	−	12.2242i	0.102240	−	0.464359i
$694$	−15.7825	+	27.3901i	−0.599097	+	1.03971i
$695$	31.9450			1.21174
$696$	13.9636	−	40.5473i	0.529288	−	1.53694i
$697$	2.95871			0.112069
$698$	−13.1611	−	22.7509i	−0.498155	−	0.861134i
$699$	−0.530285	−	0.613238i	−0.0200572	−	0.0231948i
$700$	0.553367	−	7.87166i	0.0209153	−	0.297521i
$701$	19.8619			0.750174			0.375087	−	0.926990i	$-0.377613\pi$
$701$	19.8619			0.750174			0.375087	+	0.926990i	$0.377613\pi$
$702$	12.7663	+	19.9608i	0.481832	+	0.753371i
$703$	44.3348	+	25.5967i	1.67212	+	0.965398i
$704$	10.8933	−	6.36376i	0.410557	−	0.239843i
$705$	9.60093	+	3.33383i	0.361592	+	0.125559i
$706$	8.18339	−	0.00697481i	0.307986	−	0.000262500i
$707$	−36.7794	−	24.9192i	−1.38323	−	0.937183i
$708$	18.2765	+	21.0629i	0.686874	+	0.791591i
$709$			12.4633i			0.468070i	0.972228	+	0.234035i	$0.0751930\pi$
$709$			12.4633i			0.468070i	−0.972228	+	0.234035i	$0.924807\pi$
$710$	−15.3783	+	8.89613i	−0.577136	+	0.333866i
$711$	−4.94433	−	12.4233i	−0.185427	−	0.465912i
$712$	−17.4122	−	29.9815i	−0.652551	−	1.12361i
$713$	−1.67047	−	0.964446i	−0.0625596	−	0.0361188i
$714$	−2.20151	+	5.13178i	−0.0823893	+	0.192052i
$715$	6.47751	+	11.2194i	0.242245	+	0.419581i
$716$	−0.0452523	−	26.5468i	−0.00169116	−	0.992099i
$717$	−4.02407	+	3.47973i	−0.150282	+	0.129953i
$718$	0.0204264	+	23.9658i	0.000762305	+	0.894396i
$719$	−2.38170	−	4.12522i	−0.0888223	−	0.153845i	0.818191	−	0.574946i	$-0.194977\pi$
$719$	−2.38170	−	4.12522i	−0.0888223	−	0.153845i	−0.907014	+	0.421101i	$0.861644\pi$
$720$	24.0585	+	18.8662i	0.896608	+	0.703100i
$721$	13.4356	+	0.967526i	0.500369	+	0.0360326i
$722$	33.5602	−	19.4141i	1.24898	−	0.722519i
$723$	23.9460	−	20.7068i	0.890560	−	0.770094i
$724$	9.90580	−	5.74165i	0.368146	−	0.213387i
$725$	13.0542			0.484821
$726$	−13.6531	−	15.7617i	−0.506713	−	0.584970i
$727$	12.2945	+	7.09822i	0.455977	+	0.263258i	0.710351	−	0.703847i	$-0.248536\pi$
$727$	12.2945	+	7.09822i	0.455977	+	0.263258i	−0.254374	+	0.967106i	$0.581869\pi$
$728$	20.0103	+	13.4831i	0.741630	+	0.499716i
$729$	−11.3655	+	24.4913i	−0.420945	+	0.907086i
$730$	0.0199684	+	23.4285i	0.000739065	+	0.867129i
$731$	4.08723	−	2.35976i	0.151172	−	0.0872790i
$732$	20.4272	+	23.5414i	0.755012	+	0.870116i
$733$	26.9007	+	15.5311i	0.993598	+	0.573654i	0.906348	−	0.422532i	$-0.138859\pi$
$733$	26.9007	+	15.5311i	0.993598	+	0.573654i	0.0872504	+	0.996186i	$0.472192\pi$
$734$	−16.9412	+	0.0144392i	−0.625311	+	0.000532960i
$735$	26.0199	−	16.6489i	0.959757	−	0.614102i
$736$	0.0515929	+	12.1065i	0.00190174	+	0.446251i
$737$	10.4637	−	6.04120i	0.385434	−	0.222530i
$738$	13.5312	−	5.39861i	0.498091	−	0.198726i
$739$	−10.6032	+	18.3653i	−0.390046	+	0.675580i	−0.992455	−	0.122607i	$-0.960874\pi$
$739$	−10.6032	+	18.3653i	−0.390046	+	0.675580i	0.602409	+	0.798188i	$0.294208\pi$
$740$	−33.1269	+	19.2012i	−1.21777	+	0.705850i
$741$	−12.4808	+	35.9430i	−0.458495	+	1.32040i
$742$	1.83206	−	2.70899i	0.0672571	−	0.0994503i
$743$	23.1441	+	40.0867i	0.849074	+	1.47064i	0.882035	+	0.471183i	$0.156173\pi$
$743$	23.1441	+	40.0867i	0.849074	+	1.47064i	−0.0329612	+	0.999457i	$0.510494\pi$
$744$	−0.842298	−	4.33428i	−0.0308802	−	0.158902i
$745$	19.4735	+	33.7291i	0.713453	+	1.23574i
$746$	−20.4990	−	35.4356i	−0.750523	−	1.29739i
$747$	−49.1013	−	7.16144i	−1.79652	−	0.262023i
$748$	−1.36281	−	2.35119i	−0.0498292	−	0.0859680i
$749$	−16.8075	+	24.8070i	−0.614133	+	0.906427i
$750$	7.16526	−	20.6918i	0.261638	−	0.755557i
$751$	4.47827	+	2.58553i	0.163414	+	0.0943474i	0.579477	−	0.814989i	$-0.303257\pi$
$751$	4.47827	+	2.58553i	0.163414	+	0.0943474i	−0.416062	+	0.909336i	$0.636590\pi$
$752$	−4.57892	+	7.99374i	−0.166976	+	0.291502i
$753$	46.7510	−	8.96132i	1.70370	−	0.326569i
$754$	−19.9287	+	34.5856i	−0.725762	+	1.25953i
$755$		−	15.5778i		−	0.566935i
$756$	−0.704561	+	27.4864i	−0.0256246	+	0.999672i
$757$		−	34.0046i		−	1.23592i	−0.786210	−	0.617960i	$-0.787960\pi$
$757$		−	34.0046i		−	1.23592i	0.786210	−	0.617960i	$-0.212040\pi$
$758$	−46.7820	−	26.9565i	−1.69920	−	0.979103i
$759$	−5.74119	+	1.10048i	−0.208392	+	0.0399450i
$760$	0.125534	+	49.0952i	0.00455358	+	1.78087i
$761$	−6.90862	−	3.98869i	−0.250437	−	0.144590i	0.369527	−	0.929220i	$-0.379520\pi$
$761$	−6.90862	−	3.98869i	−0.250437	−	0.144590i	−0.619964	+	0.784630i	$0.712853\pi$
$762$	30.0671	+	10.4118i	1.08922	+	0.377179i
$763$	−43.4688	−	3.13028i	−1.57368	−	0.113324i
$764$	24.1746	+	41.7072i	0.874605	+	1.50892i
$765$	4.08160	−	5.16856i	0.147571	−	0.186870i
$766$	15.6375	−	9.04611i	0.565007	−	0.326849i
$767$	−12.9784	−	22.4793i	−0.468624	−	0.811681i
$768$	−20.8383	+	18.2693i	−0.751936	+	0.659236i
$769$	2.09791	+	3.63369i	0.0756526	+	0.131034i	0.901370	−	0.433050i	$-0.142563\pi$
$769$	2.09791	+	3.63369i	0.0756526	+	0.131034i	−0.825717	+	0.564084i	$0.809229\pi$
$770$	−1.06701	+	14.9955i	−0.0384524	+	0.540401i
$771$	−3.61256	+	10.4036i	−0.130103	+	0.374678i
$772$	−25.4356	−	43.8828i	−0.915447	−	1.57938i
$773$	12.6437	−	21.8996i	0.454764	−	0.787674i	−0.543911	−	0.839143i	$-0.683057\pi$
$773$	12.6437	−	21.8996i	0.454764	−	0.787674i	0.998675	+	0.0514691i	$0.0163904\pi$
$774$	14.3866	−	18.2498i	0.517116	−	0.655976i
$775$	1.16399	−	0.672030i	0.0418117	−	0.0241400i
$776$	39.6550	+	22.7599i	1.42353	+	0.817031i
$777$	−31.6338	−	13.6027i	−1.13486	−	0.487994i
$778$	−0.0155054	−	18.1921i	−0.000555894	−	0.652218i
$779$	20.2599	+	11.6971i	0.725886	+	0.419091i
$780$	−18.6506	−	21.4940i	−0.667800	−	0.769609i
$781$	6.73397	−	3.88786i	0.240960	−	0.139118i
$782$	2.60788	−	0.00222273i	0.0932577	−	7.94847e-5i
$783$	−45.4406	+	2.02598i	−1.62391	+	0.0724027i
$784$	10.4698	+	25.9689i	0.373920	+	0.927461i
$785$	0.603968	+	0.348701i	0.0215565	+	0.0124457i
$786$	−10.5441	+	9.13350i	−0.376095	+	0.325781i
$787$	6.72361			0.239671			0.119835	−	0.992794i	$-0.461763\pi$
$787$	6.72361			0.239671			0.119835	+	0.992794i	$0.461763\pi$
$788$	−10.0988	−	17.4230i	−0.359755	−	0.620668i
$789$	11.7742	−	10.1815i	0.419172	−	0.362470i
$790$	8.04148	+	13.9009i	0.286103	+	0.494571i
$791$	−9.99330	+	14.7496i	−0.355321	+	0.524435i
$792$	−10.5227	−	8.26617i	−0.373908	−	0.293726i
$793$	−14.5057	−	25.1246i	−0.515111	−	0.892199i
$794$	0.510243		0.000434887i	0.0181079		1.54336e-5i
$795$	−2.91752	+	2.52286i	−0.103474	+	0.0894767i
$796$	0.0715579	+	41.9787i	0.00253630	+	1.48789i
$797$	−13.3601	−	23.1403i	−0.473237	−	0.819671i	0.526293	−	0.850303i	$-0.323581\pi$
$797$	−13.3601	−	23.1403i	−0.473237	−	0.819671i	−0.999531	+	0.0306320i	$0.990248\pi$
$798$	−35.3631	+	26.4366i	−1.25184	+	0.935845i
$799$	1.71856	+	0.992211i	0.0607983	+	0.0351019i
$800$	−7.32363	−	4.18679i	−0.258930	−	0.148025i
$801$	−22.7909	+	28.8602i	−0.805277	+	1.01973i
$802$	−7.51431	−	12.9896i	−0.265339	−	0.458678i
$803$		−	10.2540i		−	0.361857i
$804$	−20.0462	+	17.3944i	−0.706975	+	0.613452i
$805$	−11.9434	−	8.09200i	−0.420948	−	0.285206i
$806$	0.00350282	+	4.10979i	0.000123382	+	0.144761i
$807$	4.76224	+	1.65364i	0.167639	+	0.0582109i
$808$	−41.0699	+	23.8519i	−1.44483	+	0.839108i
$809$	−28.3438	−	16.3643i	−0.996516	−	0.575339i	−0.0893002	−	0.996005i	$-0.528463\pi$
$809$	−28.3438	−	16.3643i	−0.996516	−	0.575339i	−0.907216	+	0.420666i	$0.861796\pi$
$810$	9.23579	−	31.0852i	0.324513	−	1.09222i
$811$	−16.0158			−0.562392			−0.281196	−	0.959650i	$-0.590731\pi$
$811$	−16.0158			−0.562392			−0.281196	+	0.959650i	$0.590731\pi$
$812$	−41.6400	+	20.2901i	−1.46128	+	0.712043i
$813$	−1.95927	−	2.26576i	−0.0687145	−	0.0794635i
$814$	14.5059	−	8.39148i	0.508432	−	0.294121i
$815$	−0.311030			−0.0108949
$816$	3.92006	+	4.50216i	0.137230	+	0.157607i
$817$	37.3167			1.30555
$818$	1.00889	+	0.581337i	0.0352750	+	0.0203260i
$819$	5.50303	−	24.9939i	0.192291	−	0.873358i
$820$	−15.1382	+	8.77447i	−0.528648	+	0.306418i
$821$	−2.59555			−0.0905853			−0.0452927	−	0.998974i	$-0.514422\pi$
$821$	−2.59555			−0.0905853			−0.0452927	+	0.998974i	$0.514422\pi$
$822$	8.81128	+	45.7572i	0.307329	+	1.59597i
$823$			18.9261i			0.659723i	0.944029	+	0.329862i	$0.107002\pi$
$823$			18.9261i			0.659723i	−0.944029	+	0.329862i	$0.892998\pi$
$824$	7.16834	−	12.4896i	0.249721	−	0.435095i
$825$	1.33616	−	3.84793i	0.0465190	−	0.133968i
$826$	2.13788	−	30.0453i	0.0743863	−	1.04541i
$827$		−	40.8856i		−	1.42173i	−0.703328	−	0.710866i	$-0.748303\pi$
$827$		−	40.8856i		−	1.42173i	0.703328	−	0.710866i	$-0.251697\pi$
$828$	11.9227	−	4.76864i	0.414343	−	0.165722i
$829$	−6.41913	−	3.70608i	−0.222945	−	0.128718i	0.384368	−	0.923180i	$-0.374419\pi$
$829$	−6.41913	−	3.70608i	−0.222945	−	0.128718i	−0.607313	+	0.794462i	$0.707753\pi$
$830$	59.5968	−	0.0507951i	2.06863	−	0.00176312i
$831$	−35.8646	−	41.4749i	−1.24413	−	1.43875i
$832$	22.2728	−	13.0115i	0.772170	−	0.451093i
$833$	5.60162	−	2.23621i	0.194085	−	0.0774800i
$834$	30.1583	−	5.80746i	1.04430	−	0.201096i
$835$	−27.4376			−0.949516
$836$	−0.0366285	−	21.4877i	−0.00126682	−	0.743166i
$837$	−3.94745	+	2.51992i	−0.136444	+	0.0871013i
$838$	−26.3441	+	0.0224534i	−0.910041	+	0.000775640i
$839$	−18.1496	+	31.4359i	−0.626592	+	1.08529i	0.361638	+	0.932318i	$0.382217\pi$
$839$	−18.1496	+	31.4359i	−0.626592	+	1.08529i	−0.988231	+	0.152971i	$0.951116\pi$
$840$	−3.95505	−	32.7855i	−0.136462	−	1.13121i
$841$	−23.8139	−	41.2468i	−0.821168	−	1.42230i
$842$	24.1182	+	41.6918i	0.831168	+	1.43680i
$843$	−11.8321	+	34.0748i	−0.407520	+	1.17360i
$844$	4.17536	−	7.26049i	0.143722	−	0.249916i
$845$	−3.31659	−	5.74451i	−0.114094	−	0.197617i
$846$	9.67002	+	1.40196i	0.332462	+	0.0482003i
$847$	−1.61777	+	22.4654i	−0.0555874	+	0.771919i
$848$	−1.75838	−	3.02176i	−0.0603830	−	0.103768i
$849$	−8.97828	−	46.8395i	−0.308134	−	1.60753i
$850$	−0.907250	+	1.57450i	−0.0311184	+	0.0540049i
$851$			16.0817i			0.551272i
$852$	−12.9009	+	11.1943i	−0.441977	+	0.383510i
$853$	−24.7168	−	14.2702i	−0.846286	−	0.488604i	0.0131098	−	0.999914i	$-0.495827\pi$
$853$	−24.7168	−	14.2702i	−0.846286	−	0.488604i	−0.859396	+	0.511310i	$0.829160\pi$
$854$	2.38945	−	33.5808i	0.0817654	−	1.14911i
$855$	48.3825	−	19.2556i	1.65465	−	0.658528i
$856$	16.0876	+	27.7008i	0.549864	+	0.946794i
$857$	15.9752	−	9.22327i	0.545701	−	0.315061i	−0.201685	−	0.979450i	$-0.564642\pi$
$857$	15.9752	−	9.22327i	0.545701	−	0.315061i	0.747386	+	0.664390i	$0.231308\pi$
$858$	8.15485	+	9.41429i	0.278402	+	0.321399i
$859$	−9.00348	+	15.5945i	−0.307195	+	0.532077i	−0.977748	−	0.209785i	$-0.932724\pi$
$859$	−9.00348	+	15.5945i	−0.307195	+	0.532077i	0.670553	+	0.741862i	$0.266057\pi$
$860$	−13.9140	+	24.1950i	−0.474464	+	0.825041i
$861$	−14.4559	−	6.21609i	−0.492655	−	0.211844i
$862$	−15.2272	+	8.80873i	−0.518640	+	0.300027i
$863$	20.3339	+	35.2194i	0.692175	+	1.19888i	0.971124	+	0.238576i	$0.0766807\pi$
$863$	20.3339	+	35.2194i	0.692175	+	1.19888i	−0.278949	+	0.960306i	$0.589986\pi$
$864$	26.1427	+	13.4372i	0.889393	+	0.457144i
$865$	10.2159	−	17.6944i	0.347350	−	0.601629i
$866$	−35.8137	−	20.6364i	−1.21700	−	0.701253i
$867$	−21.2998	+	18.4186i	−0.723380	+	0.625528i
$868$	−2.66833	+	3.95281i	−0.0905690	+	0.134167i
$869$	−3.51435	−	6.08703i	−0.119216	−	0.206488i
$870$	53.6447	−	10.3301i	1.81873	−	0.350225i
$871$	21.3943	−	12.3520i	0.724918	−	0.418532i
$872$	−23.1920	+	40.4080i	−0.785380	+	1.36839i
$873$	6.99908	−	47.9881i	0.236883	−	1.62415i
$874$	17.8664	+	10.2949i	0.604340	+	0.348229i
$875$	−21.2795	+	10.3241i	−0.719379	+	0.349019i
$876$	4.27805	+	22.1145i	0.144542	+	0.747181i
$877$	10.8153	+	6.24419i	0.365205	+	0.210851i	0.671362	−	0.741130i	$-0.265710\pi$
$877$	10.8153	+	6.24419i	0.365205	+	0.210851i	−0.306157	+	0.951981i	$0.599043\pi$
$878$	−5.76851	+	10.0111i	−0.194678	+	0.337857i
$879$	11.8308	−	10.2305i	0.399044	−	0.345065i
$880$	13.9456	+	7.98822i	0.470105	+	0.269283i
$881$		−	3.68562i		−	0.124172i	−0.998071	−	0.0620859i	$-0.980225\pi$
$881$		−	3.68562i		−	0.124172i	0.998071	−	0.0620859i	$-0.0197753\pi$
$882$	21.5379	−	20.4480i	0.725218	−	0.688519i
$883$	24.3520			0.819509			0.409755	−	0.912196i	$-0.365614\pi$
$883$	24.3520			0.819509			0.409755	+	0.912196i	$0.365614\pi$
$884$	−2.78644	−	4.80731i	−0.0937180	−	0.161687i
$885$	−11.6532	+	33.5594i	−0.391717	+	1.12809i
$886$	0.00220039	−	0.00381870i	7.39236e−5	−	0.000128292i
$887$	3.31941	−	5.74939i	0.111455	−	0.193046i	−0.804902	−	0.593408i	$-0.797782\pi$
$887$	3.31941	−	5.74939i	0.111455	−	0.193046i	0.916357	+	0.400362i	$0.131116\pi$
$888$	−27.7834	+	24.1496i	−0.932351	+	0.810407i
$889$	−15.0019	−	30.9212i	−0.503148	−	1.03706i
$890$	22.0511	−	38.2689i	0.739154	−	1.28278i
$891$	−4.05385	+	13.6017i	−0.135809	+	0.455673i
$892$	−0.0390966	−	22.9356i	−0.00130905	−	0.767941i
$893$	7.84528	+	13.5884i	0.262532	+	0.454719i
$894$	24.5161	+	28.3024i	0.819942	+	0.946574i
$895$	29.2872	−	16.9090i	0.978963	−	0.565205i
$896$	29.8682	+	1.97182i	0.997828	+	0.0658739i
$897$	−11.7386	+	2.25008i	−0.391940	+	0.0751279i
$898$	3.45303	−	5.99261i	0.115229	−	0.199976i
$899$	−6.83257	−	3.94479i	−0.227879	−	0.131566i
$900$	−1.27626	+	8.85616i	−0.0425420	+	0.295205i
$901$	−0.652206	+	0.376551i	−0.0217281	+	0.0125447i
$902$	6.62884	−	3.83470i	0.220716	−	0.127681i
$903$	−24.9274	+	2.94245i	−0.829533	+	0.0979187i
$904$	9.56529	+	16.4702i	0.318137	+	0.547790i
$905$	12.6314	+	7.29276i	0.419883	+	0.242420i
$906$	−2.83198	−	14.7066i	−0.0940862	−	0.488593i
$907$	14.1921	+	24.5814i	0.471240	+	0.816212i	0.999459	−	0.0328965i	$-0.0104732\pi$
$907$	14.1921	+	24.5814i	0.471240	+	0.816212i	−0.528219	+	0.849108i	$0.677140\pi$
$908$	45.1189	+	25.9470i	1.49732	+	0.861080i
$909$	39.5339	+	31.2198i	1.31126	+	1.03550i
$910$	−2.18164	+	30.6603i	−0.0723207	+	1.01638i
$911$	−11.7597	+	20.3683i	−0.389615	+	0.674833i	−0.992398	−	0.123072i	$-0.960725\pi$
$911$	−11.7597	+	20.3683i	−0.389615	+	0.674833i	0.602783	+	0.797906i	$0.294059\pi$
$912$	9.04380	+	46.3265i	0.299470	+	1.53402i
$913$	−26.0839			−0.863250
$914$	21.5358	+	12.4092i	0.712341	+	0.410461i
$915$	−13.0244	+	37.5085i	−0.430575	+	1.23999i
$916$	−0.0628374	−	36.8629i	−0.00207621	−	1.21798i
$917$	15.0287	+	1.08224i	0.496290	+	0.0357388i
$918$	2.91370	−	5.62150i	0.0961663	−	0.185537i
$919$	15.7775	−	9.10914i	0.520452	−	0.300483i	−0.216668	−	0.976245i	$-0.569519\pi$
$919$	15.7775	−	9.10914i	0.520452	−	0.300483i	0.737119	+	0.675763i	$0.236186\pi$
$920$	−13.3366	+	7.74542i	−0.439695	+	0.255359i
$921$	8.20298	+	42.7947i	0.270297	+	1.41013i
$922$	0.626928	−	0.362670i	0.0206468	−	0.0119439i
$923$	13.7685	−	7.94922i	0.453194	−	0.261652i
$924$	1.71879	+	14.3508i	0.0565440	+	0.472107i
$925$	−9.70447	−	5.60288i	−0.319081	−	0.184222i
$926$	10.3037	−	0.00878196i	0.338600	−	0.000288593i
$927$	−15.1141	−	2.20440i	−0.496413	−	0.0724019i
$928$	0.211026	+	49.5181i	0.00692726	+	1.62551i
$929$		−	28.4577i		−	0.933668i	−0.884345	−	0.466834i	$-0.845395\pi$
$929$		−	28.4577i		−	0.933668i	0.884345	−	0.466834i	$-0.154605\pi$
$930$	4.25148	−	3.68272i	0.139412	−	0.120761i
$931$	47.1981	+	6.83308i	1.54685	+	0.223945i
$932$	0.811514	+	0.466685i	0.0265820	+	0.0152868i
$933$	−8.90922	−	46.4791i	−0.291675	−	1.52166i
$934$	−11.5109	+	0.00981091i	−0.376649	+	0.000321023i
$935$	1.73097	−	2.99813i	0.0566089	−	0.0980494i
$936$	−21.5150	−	16.9012i	−0.703241	−	0.552434i
$937$	48.5250			1.58524			0.792622	−	0.609714i	$-0.208716\pi$
$937$	48.5250			1.58524			0.792622	+	0.609714i	$0.208716\pi$
$938$	28.5951	+	2.03469i	0.933662	+	0.0664350i
$939$	4.00027	+	20.8693i	0.130544	+	0.681044i
$940$	−11.7355	+	0.0200047i	−0.382771	+	0.000652481i
$941$	−50.2519			−1.63817			−0.819083	−	0.573675i	$-0.805517\pi$
$941$	−50.2519			−1.63817			−0.819083	+	0.573675i	$0.805517\pi$
$942$	0.633580	+	0.219399i	0.0206431	+	0.00714842i
$943$			7.34892i			0.239314i
$944$	−27.9416	−	16.0053i	−0.909421	−	0.520928i
$945$	−30.8011	+	16.6777i	−1.00196	+	0.542525i
$946$	6.09881	−	10.5843i	0.198289	−	0.344125i
$947$			21.2463i			0.690413i	0.938527	+	0.345206i	$0.112191\pi$
$947$			21.2463i			0.690413i	−0.938527	+	0.345206i	$0.887809\pi$
$948$	10.1188	+	11.6615i	0.328644	+	0.378748i
$949$		−	20.9657i		−	0.680574i
$950$	−12.4371	+	7.19472i	−0.403514	+	0.233427i
$951$	−7.00847	−	36.5630i	−0.227265	−	1.18564i
$952$	0.446682	−	6.43243i	0.0144771	−	0.208476i
$953$			0.965825i			0.0312861i	0.999878	+	0.0156431i	$0.00497955\pi$
$953$			0.965825i			0.0312861i	−0.999878	+	0.0156431i	$0.995020\pi$
$954$	−2.29569	+	2.91215i	−0.0743258	+	0.0942844i
$955$	−30.7054	+	53.1832i	−0.993602	+	1.72097i
$956$	3.06239	−	5.32516i	0.0990448	−	0.172228i
$957$	−23.4827	+	4.50121i	−0.759087	+	0.145503i
$958$	−0.0158256	−	18.5679i	−0.000511303	−	0.599901i
$959$	28.2315	−	41.6682i	0.911643	−	1.34554i
$960$	−33.4087	−	11.4097i	−1.07826	−	0.368248i
$961$	30.1877			0.973796
$962$	29.6592	−	17.1574i	0.956250	−	0.553178i
$963$	21.0571	−	26.6648i	0.678557	−	0.859261i
$964$	−18.2233	+	31.6883i	−0.586934	+	1.02061i
$965$	32.3070	−	55.9574i	1.04000	−	1.80133i
$966$	−12.7465	−	5.46816i	−0.410110	−	0.175935i
$967$	34.3152	−	19.8119i	1.10350	−	0.637107i	0.166363	−	0.986065i	$-0.446798\pi$
$967$	34.3152	−	19.8119i	1.10350	−	0.637107i	0.937139	+	0.348958i	$0.113464\pi$
$968$	20.8835	+	11.9860i	0.671220	+	0.385244i
$969$	9.98577	−	1.91409i	0.320789	−	0.0614895i
$970$	0.0496435	+	58.2456i	0.00159396	+	1.87015i
$971$	−7.16889	+	4.13896i	−0.230061	+	0.132826i	−0.610600	−	0.791939i	$-0.709072\pi$
$971$	−7.16889	+	4.13896i	−0.230061	+	0.132826i	0.380539	+	0.924765i	$0.375738\pi$
$972$	3.06809	−	31.0256i	0.0984091	−	0.995146i
$973$	−27.4632	−	18.6072i	−0.880431	−	0.596520i
$974$	−4.64709	−	8.03318i	−0.148902	−	0.257400i
$975$	2.73194	−	7.86758i	0.0874921	−	0.251964i
$976$	−31.2296	−	17.8887i	−0.999635	−	0.572604i
$977$		−	10.7199i		−	0.342960i	−0.985188	−	0.171480i	$-0.945145\pi$
$977$		−	10.7199i		−	0.342960i	0.985188	−	0.171480i	$-0.0548549\pi$
$978$	−0.293634	+	0.0565438i	−0.00938937	+	0.00180807i
$979$	−9.66542	+	16.7410i	−0.308908	+	0.535045i
$980$	−22.0288	+	28.0539i	−0.703684	+	0.896150i
$981$	48.8993	+	7.13198i	1.56123	+	0.227706i
$982$	4.95759	−	0.00422541i	0.158203	−	0.000134838i
$983$	−24.5097	−	42.4521i	−0.781738	−	1.35401i	−0.930928	−	0.365202i	$-0.881000\pi$
$983$	−24.5097	−	42.4521i	−0.781738	−	1.35401i	0.149190	−	0.988809i	$-0.452333\pi$
$984$	−12.6963	+	11.0358i	−0.404744	+	0.351807i
$985$	12.8270	−	22.2170i	0.408702	−	0.707893i
$986$	10.6668	−	0.00909144i	0.339700	−	0.000289530i
$987$	−6.31208	−	8.45842i	−0.200916	−	0.269234i
$988$	−0.0748915	−	43.9343i	−0.00238262	−	1.39774i
$989$	5.86125	+	10.1520i	0.186377	+	0.322814i
$990$	2.44580	−	16.8699i	0.0777327	−	0.536162i
$991$	19.9324	+	11.5080i	0.633175	+	0.365564i	0.781981	−	0.623303i	$-0.214210\pi$
$991$	19.9324	+	11.5080i	0.633175	+	0.365564i	−0.148806	+	0.988866i	$0.547543\pi$
$992$	2.56800	+	4.40446i	0.0815342	+	0.139842i
$993$	−7.19259	−	37.5235i	−0.228250	−	1.19077i
$994$	18.4026	+	1.30944i	0.583694	+	0.0415329i
$995$	−46.3121	+	26.7383i	−1.46819	+	0.847662i
$996$	56.2543	−	10.8824i	1.78248	−	0.344821i
$997$	41.9722	−	24.2327i	1.32927	−	0.767457i	0.344087	−	0.938938i	$-0.388189\pi$
$997$	41.9722	−	24.2327i	1.32927	−	0.767457i	0.985187	+	0.171481i	$0.0548552\pi$
$998$	22.1187	−	12.7954i	0.700156	−	0.405031i
$999$	34.6500	+	17.9970i	1.09628	+	0.569400i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.bt.a.11.15	✓	184
7.2	even	3		504.2.cy.a.443.46	yes	184
8.3	odd	2	inner	504.2.bt.a.11.78	yes	184
9.5	odd	6		504.2.cy.a.347.16	yes	184
56.51	odd	6		504.2.cy.a.443.16	yes	184
63.23	odd	6	inner	504.2.bt.a.275.78	yes	184
72.59	even	6		504.2.cy.a.347.46	yes	184
504.275	even	6	inner	504.2.bt.a.275.15	yes	184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.bt.a.11.15	✓	184	1.1	even	1	trivial
504.2.bt.a.11.78	yes	184	8.3	odd	2	inner
504.2.bt.a.275.15	yes	184	504.275	even	6	inner
504.2.bt.a.275.78	yes	184	63.23	odd	6	inner
504.2.cy.a.347.16	yes	184	9.5	odd	6
504.2.cy.a.347.46	yes	184	72.59	even	6
504.2.cy.a.443.16	yes	184	56.51	odd	6
504.2.cy.a.443.46	yes	184	7.2	even	3

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.bt (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.22535 - 0.706063i) q^{2} +(-0.326067 - 1.70108i) q^{3} +(1.00295 + 1.73034i) q^{4} +(-1.27390 + 2.20646i) q^{5} +(-0.801525 + 2.31464i) q^{6} +(2.38039 - 1.15488i) q^{7} +(-0.00723210 - 2.82842i) q^{8} +(-2.78736 + 1.10933i) q^{9} +O(q^{10})\)	\(q+(-1.22535 - 0.706063i) q^{2} +(-0.326067 - 1.70108i) q^{3} +(1.00295 + 1.73034i) q^{4} +(-1.27390 + 2.20646i) q^{5} +(-0.801525 + 2.31464i) q^{6} +(2.38039 - 1.15488i) q^{7} +(-0.00723210 - 2.82842i) q^{8} +(-2.78736 + 1.10933i) q^{9} +(3.11887 - 1.80422i) q^{10} +(-1.36571 + 0.788496i) q^{11} +(2.61643 - 2.27031i) q^{12} +(-2.79238 + 1.61218i) q^{13} +(-3.73222 - 0.265567i) q^{14} +(4.16874 + 1.44755i) q^{15} +(-1.98818 + 3.47090i) q^{16} +(0.746202 + 0.430820i) q^{17} +(4.19874 + 0.608733i) q^{18} +(3.40644 + 5.90012i) q^{19} +(-5.09559 + 0.00868608i) q^{20} +(-2.74072 - 3.67266i) q^{21} +(2.23020 - 0.00190083i) q^{22} +(-1.07008 + 1.85344i) q^{23} +(-4.80901 + 0.934556i) q^{24} +(-0.745638 - 1.29148i) q^{25} +(4.55993 - 0.00388649i) q^{26} +(2.79593 + 4.37981i) q^{27} +(4.38576 + 2.96059i) q^{28} +(-4.37686 + 7.58095i) q^{29} +(-4.08609 - 4.71715i) q^{30} +0.901282i q^{31} +(4.88688 - 2.84928i) q^{32} +(1.78661 + 2.06609i) q^{33} +(-0.610171 - 1.05477i) q^{34} +(-0.484167 + 6.72343i) q^{35} +(-4.71511 - 3.71049i) q^{36} +(6.50750 - 3.75711i) q^{37} +(-0.00821191 - 9.63486i) q^{38} +(3.65295 + 4.22439i) q^{39} +(6.25000 + 3.58716i) q^{40} +(2.97377 - 1.71690i) q^{41} +(0.765202 + 6.43541i) q^{42} +(2.73869 - 4.74355i) q^{43} +(-2.73411 - 1.57233i) q^{44} +(1.10312 - 7.56337i) q^{45} +(2.61987 - 1.51556i) q^{46} +2.30307 q^{47} +(6.55256 + 2.25031i) q^{48} +(4.33248 - 5.49815i) q^{49} +(0.00179751 + 2.10898i) q^{50} +(0.489548 - 1.40983i) q^{51} +(-5.59024 - 3.21484i) q^{52} +(-0.437017 + 0.756935i) q^{53} +(-0.333565 - 7.34089i) q^{54} -4.01786i q^{55} +(-3.28371 - 6.72438i) q^{56} +(8.92587 - 7.71846i) q^{57} +(10.7158 - 6.19896i) q^{58} +8.05024i q^{59} +(1.67628 + 8.66518i) q^{60} +8.99755i q^{61} +(0.636362 - 1.10438i) q^{62} +(-5.35384 + 5.85972i) q^{63} +(-7.99990 + 0.0409108i) q^{64} -8.21502i q^{65} +(-0.730429 - 3.79314i) q^{66} -7.66167 q^{67} +(0.00293755 + 1.72328i) q^{68} +(3.50177 + 1.21595i) q^{69} +(5.34044 - 7.89668i) q^{70} -4.93073 q^{71} +(3.15782 + 7.87580i) q^{72} +(-3.25114 + 5.63113i) q^{73} +(-10.6267 + 0.00905727i) q^{74} +(-1.95379 + 1.68950i) q^{75} +(-6.79275 + 11.8118i) q^{76} +(-2.34031 + 3.45417i) q^{77} +(-1.49345 - 7.75555i) q^{78} +4.45703i q^{79} +(-5.12566 - 8.80841i) q^{80} +(6.53876 - 6.18422i) q^{81} +(-4.85614 + 0.00413895i) q^{82} +(14.3243 + 8.27014i) q^{83} +(3.60616 - 8.42589i) q^{84} +(-1.90117 + 1.09764i) q^{85} +(-6.70509 + 3.87881i) q^{86} +(14.3230 + 4.97351i) q^{87} +(2.24007 + 3.85711i) q^{88} +(10.6158 - 6.12903i) q^{89} +(-6.69192 + 8.48888i) q^{90} +(-4.78506 + 7.06249i) q^{91} +(-4.28032 + 0.00729636i) q^{92} +(1.53315 - 0.293878i) q^{93} +(-2.82207 - 1.62612i) q^{94} -17.3578 q^{95} +(-6.44031 - 7.38393i) q^{96} +(-8.08265 + 13.9996i) q^{97} +(-9.19083 + 3.67813i) q^{98} +(2.93204 - 3.71286i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q - 2 q^{3} - 2 q^{4} - 2 q^{6} - 2 q^{9}+O(q^{10}) \) 184 * q - 2 * q^3 - 2 * q^4 - 2 * q^6 - 2 * q^9	\( 184 q - 2 q^{3} - 2 q^{4} - 2 q^{6} - 2 q^{9} - 6 q^{10} - 6 q^{11} - 8 q^{12} + 12 q^{14} - 2 q^{16} + 2 q^{18} - 4 q^{19} - 6 q^{20} + 2 q^{22} - 8 q^{24} - 74 q^{25} - 6 q^{26} - 8 q^{27} + 3 q^{30} - 14 q^{33} - 4 q^{34} + 30 q^{35} - 38 q^{36} + 39 q^{38} + 6 q^{40} - 12 q^{41} - 20 q^{42} - 4 q^{43} + 9 q^{44} - 6 q^{46} - 5 q^{48} - 2 q^{49} - 21 q^{50} - 34 q^{51} + 9 q^{52} + 47 q^{54} - 24 q^{56} + 4 q^{57} - 3 q^{58} - 11 q^{60} - 8 q^{64} - 26 q^{66} - 4 q^{67} - 42 q^{68} - 3 q^{70} + 52 q^{72} - 4 q^{73} + 27 q^{74} + 30 q^{75} + 2 q^{76} - 29 q^{78} + 87 q^{80} + 14 q^{81} - 4 q^{82} - 72 q^{83} - 59 q^{84} - 27 q^{86} - 7 q^{88} - 24 q^{89} - 49 q^{90} - 36 q^{91} - 36 q^{92} - 18 q^{94} + 23 q^{96} - 4 q^{97} + 57 q^{98} + 10 q^{99}+O(q^{100}) \) 184 * q - 2 * q^3 - 2 * q^4 - 2 * q^6 - 2 * q^9 - 6 * q^10 - 6 * q^11 - 8 * q^12 + 12 * q^14 - 2 * q^16 + 2 * q^18 - 4 * q^19 - 6 * q^20 + 2 * q^22 - 8 * q^24 - 74 * q^25 - 6 * q^26 - 8 * q^27 + 3 * q^30 - 14 * q^33 - 4 * q^34 + 30 * q^35 - 38 * q^36 + 39 * q^38 + 6 * q^40 - 12 * q^41 - 20 * q^42 - 4 * q^43 + 9 * q^44 - 6 * q^46 - 5 * q^48 - 2 * q^49 - 21 * q^50 - 34 * q^51 + 9 * q^52 + 47 * q^54 - 24 * q^56 + 4 * q^57 - 3 * q^58 - 11 * q^60 - 8 * q^64 - 26 * q^66 - 4 * q^67 - 42 * q^68 - 3 * q^70 + 52 * q^72 - 4 * q^73 + 27 * q^74 + 30 * q^75 + 2 * q^76 - 29 * q^78 + 87 * q^80 + 14 * q^81 - 4 * q^82 - 72 * q^83 - 59 * q^84 - 27 * q^86 - 7 * q^88 - 24 * q^89 - 49 * q^90 - 36 * q^91 - 36 * q^92 - 18 * q^94 + 23 * q^96 - 4 * q^97 + 57 * q^98 + 10 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more