LMFDB - Embedded newform 370.2.o.d.231.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(71,370)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(370, base_ring=CyclotomicField(18))

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

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

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

chi := DirichletCharacter("370.71");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.o (of order $9$, degree $6$, 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:	$2.95446487479$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$4$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			231.4
Character	$\chi$	$=$	370.231
Dual form			370.2.o.d.181.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.173648 + 0.984808i) q^{2} +(0.357794 - 2.02915i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(-0.766044 - 0.642788i) q^{5} +2.06045 q^{6} +(3.79969 + 3.18832i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-1.17035 - 0.425971i) q^{9} +O(q^{10})$	\(q+(0.173648 + 0.984808i) q^{2} +(0.357794 - 2.02915i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(-0.766044 - 0.642788i) q^{5} +2.06045 q^{6} +(3.79969 + 3.18832i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-1.17035 - 0.425971i) q^{9} +(0.500000 - 0.866025i) q^{10} +(-2.17337 - 3.76439i) q^{11} +(0.357794 + 2.02915i) q^{12} +(5.57875 - 2.03050i) q^{13} +(-2.48007 + 4.29561i) q^{14} +(-1.57840 + 1.32443i) q^{15} +(0.766044 - 0.642788i) q^{16} +(-2.71026 - 0.986453i) q^{17} +(0.216271 - 1.22654i) q^{18} +(0.0838915 - 0.475772i) q^{19} +(0.939693 + 0.342020i) q^{20} +(7.82908 - 6.56938i) q^{21} +(3.32980 - 2.79403i) q^{22} +(0.285142 - 0.493881i) q^{23} +(-1.93619 + 0.704716i) q^{24} +(0.173648 + 0.984808i) q^{25} +(2.96839 + 5.14141i) q^{26} +(1.80757 - 3.13081i) q^{27} +(-4.66101 - 1.69647i) q^{28} +(2.33881 + 4.05093i) q^{29} +(-1.57840 - 1.32443i) q^{30} +10.0145 q^{31} +(0.766044 + 0.642788i) q^{32} +(-8.41612 + 3.06322i) q^{33} +(0.500835 - 2.84038i) q^{34} +(-0.861321 - 4.88479i) q^{35} +1.24546 q^{36} +(-5.48712 - 2.62517i) q^{37} +0.483112 q^{38} +(-2.12414 - 12.0466i) q^{39} +(-0.173648 + 0.984808i) q^{40} +(-4.46472 + 1.62502i) q^{41} +(7.82908 + 6.56938i) q^{42} -7.15160 q^{43} +(3.32980 + 2.79403i) q^{44} +(0.622729 + 1.07860i) q^{45} +(0.535892 + 0.195049i) q^{46} +(-4.54847 + 7.87818i) q^{47} +(-1.03023 - 1.78440i) q^{48} +(3.05674 + 17.3356i) q^{49} +(-0.939693 + 0.342020i) q^{50} +(-2.97137 + 5.14657i) q^{51} +(-4.54784 + 3.81609i) q^{52} +(0.818321 - 0.686653i) q^{53} +(3.39713 + 1.23645i) q^{54} +(-0.754804 + 4.28071i) q^{55} +(0.861321 - 4.88479i) q^{56} +(-0.935396 - 0.340456i) q^{57} +(-3.58326 + 3.00671i) q^{58} +(-0.371561 + 0.311777i) q^{59} +(1.03023 - 1.78440i) q^{60} +(-9.26237 + 3.37123i) q^{61} +(1.73899 + 9.86232i) q^{62} +(-3.08883 - 5.35000i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-5.57875 - 2.03050i) q^{65} +(-4.47812 - 7.75634i) q^{66} +(0.319732 + 0.268287i) q^{67} +2.88420 q^{68} +(-0.900136 - 0.755304i) q^{69} +(4.66101 - 1.69647i) q^{70} +(-1.70990 + 9.69731i) q^{71} +(0.216271 + 1.22654i) q^{72} -13.0236 q^{73} +(1.63246 - 5.85961i) q^{74} +2.06045 q^{75} +(0.0838915 + 0.475772i) q^{76} +(3.74394 - 21.2329i) q^{77} +(11.4947 - 4.18375i) q^{78} +(2.99408 + 2.51233i) q^{79} -1.00000 q^{80} +(-8.56837 - 7.18971i) q^{81} +(-2.37563 - 4.11470i) q^{82} +(8.20977 + 2.98811i) q^{83} +(-5.11007 + 8.85090i) q^{84} +(1.44210 + 2.49779i) q^{85} +(-1.24186 - 7.04295i) q^{86} +(9.05674 - 3.29639i) q^{87} +(-2.17337 + 3.76439i) q^{88} +(8.28685 - 6.95350i) q^{89} +(-0.954075 + 0.800564i) q^{90} +(27.6714 + 10.0716i) q^{91} +(-0.0990289 + 0.561621i) q^{92} +(3.58311 - 20.3208i) q^{93} +(-8.54833 - 3.11134i) q^{94} +(-0.370085 + 0.310538i) q^{95} +(1.57840 - 1.32443i) q^{96} +(-5.85755 + 10.1456i) q^{97} +(-16.5415 + 6.02060i) q^{98} +(0.940076 + 5.33144i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q + 6 q^{6} - 9 q^{7} - 12 q^{8} + 12 q^{9}+O(q^{10}) $ 24 * q + 6 * q^6 - 9 * q^7 - 12 * q^8 + 12 * q^9	$ 24 q + 6 q^{6} - 9 q^{7} - 12 q^{8} + 12 q^{9} + 12 q^{10} - 3 q^{11} - 3 q^{14} + 6 q^{17} - 6 q^{18} - 18 q^{19} + 18 q^{21} + 3 q^{22} + 15 q^{23} - 6 q^{26} - 12 q^{27} + 9 q^{28} - 18 q^{29} - 6 q^{31} - 45 q^{33} - 3 q^{34} + 30 q^{36} - 18 q^{37} - 24 q^{38} + 12 q^{39} + 3 q^{41} + 18 q^{42} + 3 q^{44} + 15 q^{45} + 9 q^{46} - 36 q^{47} - 3 q^{48} - 15 q^{49} + 54 q^{51} - 9 q^{52} - 6 q^{53} + 45 q^{54} - 3 q^{55} + 3 q^{57} - 15 q^{58} - 9 q^{59} + 3 q^{60} - 24 q^{61} + 81 q^{62} - 45 q^{63} - 12 q^{64} - 3 q^{66} + 12 q^{67} + 12 q^{68} + 60 q^{69} - 9 q^{70} + 42 q^{71} - 6 q^{72} - 42 q^{73} + 12 q^{74} + 6 q^{75} - 18 q^{76} + 9 q^{77} + 30 q^{78} - 6 q^{79} - 24 q^{80} - 66 q^{81} - 24 q^{82} - 3 q^{83} - 42 q^{84} + 6 q^{85} - 18 q^{86} - 84 q^{87} - 3 q^{88} + 27 q^{89} + 6 q^{90} + 153 q^{91} - 9 q^{92} - 54 q^{93} - 21 q^{94} - 9 q^{95} - 9 q^{97} - 24 q^{98} + 165 q^{99}+O(q^{100}) $ 24 * q + 6 * q^6 - 9 * q^7 - 12 * q^8 + 12 * q^9 + 12 * q^10 - 3 * q^11 - 3 * q^14 + 6 * q^17 - 6 * q^18 - 18 * q^19 + 18 * q^21 + 3 * q^22 + 15 * q^23 - 6 * q^26 - 12 * q^27 + 9 * q^28 - 18 * q^29 - 6 * q^31 - 45 * q^33 - 3 * q^34 + 30 * q^36 - 18 * q^37 - 24 * q^38 + 12 * q^39 + 3 * q^41 + 18 * q^42 + 3 * q^44 + 15 * q^45 + 9 * q^46 - 36 * q^47 - 3 * q^48 - 15 * q^49 + 54 * q^51 - 9 * q^52 - 6 * q^53 + 45 * q^54 - 3 * q^55 + 3 * q^57 - 15 * q^58 - 9 * q^59 + 3 * q^60 - 24 * q^61 + 81 * q^62 - 45 * q^63 - 12 * q^64 - 3 * q^66 + 12 * q^67 + 12 * q^68 + 60 * q^69 - 9 * q^70 + 42 * q^71 - 6 * q^72 - 42 * q^73 + 12 * q^74 + 6 * q^75 - 18 * q^76 + 9 * q^77 + 30 * q^78 - 6 * q^79 - 24 * q^80 - 66 * q^81 - 24 * q^82 - 3 * q^83 - 42 * q^84 + 6 * q^85 - 18 * q^86 - 84 * q^87 - 3 * q^88 + 27 * q^89 + 6 * q^90 + 153 * q^91 - 9 * q^92 - 54 * q^93 - 21 * q^94 - 9 * q^95 - 9 * q^97 - 24 * q^98 + 165 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{4}{9}\right)$	$1$

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 $

$2$	0.173648	+	0.984808i	0.122788	+	0.696364i
$2$	0.173648	+	0.984808i	0.122788	+	0.696364i
$3$	0.357794	−	2.02915i	0.206572	−	1.17153i	−0.688374	−	0.725356i	$-0.741675\pi$
$3$	0.357794	−	2.02915i	0.206572	−	1.17153i	0.894947	−	0.446173i	$-0.147214\pi$
$4$	−0.939693	+	0.342020i	−0.469846	+	0.171010i
$5$	−0.766044	−	0.642788i	−0.342585	−	0.287463i
$5$	−0.766044	−	0.642788i	−0.342585	−	0.287463i
$6$	2.06045			0.841175
$7$	3.79969	+	3.18832i	1.43615	+	1.20507i	0.941963	+	0.335716i	$0.108978\pi$
$7$	3.79969	+	3.18832i	1.43615	+	1.20507i	0.494186	+	0.869356i	$0.335466\pi$
$8$	−0.500000	−	0.866025i	−0.176777	−	0.306186i
$9$	−1.17035	−	0.425971i	−0.390116	−	0.141990i
$10$	0.500000	−	0.866025i	0.158114	−	0.273861i
$11$	−2.17337	−	3.76439i	−0.655296	−	1.13501i	−0.981819	−	0.189817i	$-0.939210\pi$
$11$	−2.17337	−	3.76439i	−0.655296	−	1.13501i	0.326523	−	0.945189i	$-0.394123\pi$
$12$	0.357794	+	2.02915i	0.103286	+	0.585765i
$13$	5.57875	−	2.03050i	1.54727	−	0.563160i	0.579493	−	0.814977i	$-0.303250\pi$
$13$	5.57875	−	2.03050i	1.54727	−	0.563160i	0.967775	+	0.251817i	$0.0810282\pi$
$14$	−2.48007	+	4.29561i	−0.662828	+	1.14805i
$15$	−1.57840	+	1.32443i	−0.407540	+	0.341967i
$16$	0.766044	−	0.642788i	0.191511	−	0.160697i
$17$	−2.71026	−	0.986453i	−0.657334	−	0.239250i	−0.00824901	−	0.999966i	$-0.502626\pi$
$17$	−2.71026	−	0.986453i	−0.657334	−	0.239250i	−0.649085	+	0.760716i	$0.724848\pi$
$18$	0.216271	−	1.22654i	0.0509756	−	0.289097i
$19$	0.0838915	−	0.475772i	0.0192460	−	0.109150i	−0.973671	−	0.227956i	$-0.926796\pi$
$19$	0.0838915	−	0.475772i	0.0192460	−	0.109150i	0.992917	+	0.118807i	$0.0379068\pi$
$20$	0.939693	+	0.342020i	0.210122	+	0.0764780i
$21$	7.82908	−	6.56938i	1.70845	−	1.43356i
$22$	3.32980	−	2.79403i	0.709915	−	0.595690i
$23$	0.285142	−	0.493881i	0.0594563	−	0.102981i	−0.834765	−	0.550606i	$-0.814397\pi$
$23$	0.285142	−	0.493881i	0.0594563	−	0.102981i	0.894221	+	0.447625i	$0.147730\pi$
$24$	−1.93619	+	0.704716i	−0.395223	+	0.143849i
$25$	0.173648	+	0.984808i	0.0347296	+	0.196962i
$26$	2.96839	+	5.14141i	0.582150	+	1.00831i
$27$	1.80757	−	3.13081i	0.347868	−	0.602525i
$28$	−4.66101	−	1.69647i	−0.880849	−	0.320603i
$29$	2.33881	+	4.05093i	0.434305	+	0.752239i	0.997239	−	0.0742635i	$-0.0236606\pi$
$29$	2.33881	+	4.05093i	0.434305	+	0.752239i	−0.562933	+	0.826502i	$0.690327\pi$
$30$	−1.57840	−	1.32443i	−0.288175	−	0.241807i
$31$	10.0145			1.79865			0.899326	−	0.437280i	$-0.144058\pi$
$31$	10.0145			1.79865			0.899326	+	0.437280i	$0.144058\pi$
$32$	0.766044	+	0.642788i	0.135419	+	0.113630i
$33$	−8.41612	+	3.06322i	−1.46506	+	0.533238i
$34$	0.500835	−	2.84038i	0.0858925	−	0.487121i
$35$	−0.861321	−	4.88479i	−0.145590	−	0.825680i
$36$	1.24546			0.207576
$37$	−5.48712	−	2.62517i	−0.902077	−	0.431575i
$37$	−5.48712	−	2.62517i	−0.902077	−	0.431575i
$38$	0.483112			0.0783711
$39$	−2.12414	−	12.0466i	−0.340135	−	1.92900i
$40$	−0.173648	+	0.984808i	−0.0274562	+	0.155712i
$41$	−4.46472	+	1.62502i	−0.697271	+	0.253786i	−0.666245	−	0.745733i	$-0.732100\pi$
$41$	−4.46472	+	1.62502i	−0.697271	+	0.253786i	−0.0310260	+	0.999519i	$0.509877\pi$
$42$	7.82908	+	6.56938i	1.20805	+	1.01368i
$43$	−7.15160			−1.09061			−0.545305	−	0.838238i	$-0.683586\pi$
$43$	−7.15160			−1.09061			−0.545305	+	0.838238i	$0.683586\pi$
$44$	3.32980	+	2.79403i	0.501986	+	0.421216i
$45$	0.622729	+	1.07860i	0.0928309	+	0.160788i
$46$	0.535892	+	0.195049i	0.0790130	+	0.0287584i
$47$	−4.54847	+	7.87818i	−0.663462	+	1.14915i	0.316237	+	0.948680i	$0.397580\pi$
$47$	−4.54847	+	7.87818i	−0.663462	+	1.14915i	−0.979700	+	0.200470i	$0.935753\pi$
$48$	−1.03023	−	1.78440i	−0.148700	−	0.257556i
$49$	3.05674	+	17.3356i	0.436677	+	2.47652i
$50$	−0.939693	+	0.342020i	−0.132893	+	0.0483690i
$51$	−2.97137	+	5.14657i	−0.416075	+	0.720663i
$52$	−4.54784	+	3.81609i	−0.630672	+	0.529197i
$53$	0.818321	−	0.686653i	0.112405	−	0.0943190i	−0.584853	−	0.811139i	$-0.698848\pi$
$53$	0.818321	−	0.686653i	0.112405	−	0.0943190i	0.697258	+	0.716820i	$0.254403\pi$
$54$	3.39713	+	1.23645i	0.462291	+	0.168260i
$55$	−0.754804	+	4.28071i	−0.101778	+	0.577210i
$56$	0.861321	−	4.88479i	0.115099	−	0.652758i
$57$	−0.935396	−	0.340456i	−0.123896	−	0.0450946i
$58$	−3.58326	+	3.00671i	−0.470505	+	0.394800i
$59$	−0.371561	+	0.311777i	−0.0483731	+	0.0405899i	−0.666654	−	0.745368i	$-0.732274\pi$
$59$	−0.371561	+	0.311777i	−0.0483731	+	0.0405899i	0.618281	+	0.785957i	$0.287830\pi$
$60$	1.03023	−	1.78440i	0.133002	−	0.230365i
$61$	−9.26237	+	3.37123i	−1.18592	+	0.431641i	−0.858291	−	0.513164i	$-0.828473\pi$
$61$	−9.26237	+	3.37123i	−1.18592	+	0.431641i	−0.327634	+	0.944805i	$0.606251\pi$
$62$	1.73899	+	9.86232i	0.220852	+	1.25252i
$63$	−3.08883	−	5.35000i	−0.389155	−	0.674037i
$64$	−0.500000	+	0.866025i	−0.0625000	+	0.108253i
$65$	−5.57875	−	2.03050i	−0.691959	−	0.251853i
$66$	−4.47812	−	7.75634i	−0.551219	−	0.954739i
$67$	0.319732	+	0.268287i	0.0390615	+	0.0327765i	0.662109	−	0.749407i	$-0.269661\pi$
$67$	0.319732	+	0.268287i	0.0390615	+	0.0327765i	−0.623048	+	0.782184i	$0.714106\pi$
$68$	2.88420			0.349760
$69$	−0.900136	−	0.755304i	−0.108364	−	0.0909279i
$70$	4.66101	−	1.69647i	0.557098	−	0.202767i
$71$	−1.70990	+	9.69731i	−0.202927	+	1.15086i	0.697740	+	0.716351i	$0.254189\pi$
$71$	−1.70990	+	9.69731i	−0.202927	+	1.15086i	−0.900668	+	0.434508i	$0.856922\pi$
$72$	0.216271	+	1.22654i	0.0254878	+	0.144549i
$73$	−13.0236			−1.52429			−0.762146	−	0.647406i	$-0.775854\pi$
$73$	−13.0236			−1.52429			−0.762146	+	0.647406i	$0.775854\pi$
$74$	1.63246	−	5.85961i	0.189770	−	0.681166i
$75$	2.06045			0.237920
$76$	0.0838915	+	0.475772i	0.00962301	+	0.0545748i
$77$	3.74394	−	21.2329i	0.426661	−	2.41972i
$78$	11.4947	−	4.18375i	1.30152	−	0.473716i
$79$	2.99408	+	2.51233i	0.336860	+	0.282659i	0.795488	−	0.605969i	$-0.207214\pi$
$79$	2.99408	+	2.51233i	0.336860	+	0.282659i	−0.458628	+	0.888628i	$0.651659\pi$
$80$	−1.00000			−0.111803
$81$	−8.56837	−	7.18971i	−0.952041	−	0.798857i
$82$	−2.37563	−	4.11470i	−0.262344	−	0.454393i
$83$	8.20977	+	2.98811i	0.901140	+	0.327988i	0.750709	−	0.660633i	$-0.229712\pi$
$83$	8.20977	+	2.98811i	0.901140	+	0.327988i	0.150430	+	0.988621i	$0.451934\pi$
$84$	−5.11007	+	8.85090i	−0.557554	+	0.965712i
$85$	1.44210	+	2.49779i	0.156417	+	0.270923i
$86$	−1.24186	−	7.04295i	−0.133913	−	0.759461i
$87$	9.05674	−	3.29639i	0.970985	−	0.353410i
$88$	−2.17337	+	3.76439i	−0.231682	+	0.401285i
$89$	8.28685	−	6.95350i	0.878405	−	0.737069i	−0.0874458	−	0.996169i	$-0.527870\pi$
$89$	8.28685	−	6.95350i	0.878405	−	0.737069i	0.965850	+	0.259100i	$0.0834260\pi$
$90$	−0.954075	+	0.800564i	−0.100568	+	0.0843869i
$91$	27.6714	+	10.0716i	2.90076	+	1.05579i
$92$	−0.0990289	+	0.561621i	−0.0103245	+	0.0585530i
$93$	3.58311	−	20.3208i	0.371551	−	2.10717i
$94$	−8.54833	−	3.11134i	−0.881692	−	0.320910i
$95$	−0.370085	+	0.310538i	−0.0379699	+	0.0318606i
$96$	1.57840	−	1.32443i	0.161094	−	0.135174i
$97$	−5.85755	+	10.1456i	−0.594744	+	1.03013i	0.398839	+	0.917021i	$0.369413\pi$
$97$	−5.85755	+	10.1456i	−0.594744	+	1.03013i	−0.993583	+	0.113106i	$0.963920\pi$
$98$	−16.5415	+	6.02060i	−1.67094	+	0.608173i
$99$	0.940076	+	5.33144i	0.0944812	+	0.535829i
$100$	−0.500000	−	0.866025i	−0.0500000	−	0.0866025i
$101$	−5.10917	+	8.84935i	−0.508382	+	0.880543i	0.491571	+	0.870837i	$0.336423\pi$
$101$	−5.10917	+	8.84935i	−0.508382	+	0.880543i	−0.999953	+	0.00970572i	$0.996911\pi$
$102$	−5.58435	−	2.03254i	−0.552933	−	0.201251i
$103$	−1.81837	−	3.14951i	−0.179169	−	0.310330i	0.762427	−	0.647074i	$-0.224008\pi$
$103$	−1.81837	−	3.14951i	−0.179169	−	0.310330i	−0.941596	+	0.336744i	$0.890674\pi$
$104$	−4.54784	−	3.81609i	−0.445953	−	0.374199i
$105$	−10.2201			−0.997383
$106$	0.818321	+	0.686653i	0.0794824	+	0.0666936i
$107$	−6.56993	+	2.39126i	−0.635139	+	0.231172i	−0.639466	−	0.768819i	$-0.720845\pi$
$107$	−6.56993	+	2.39126i	−0.635139	+	0.231172i	0.00432766	+	0.999991i	$0.498622\pi$
$108$	−0.627764	+	3.56023i	−0.0604066	+	0.342583i
$109$	−1.38834	−	7.87366i	−0.132979	−	0.754159i	−0.976246	−	0.216665i	$-0.930482\pi$
$109$	−1.38834	−	7.87366i	−0.132979	−	0.754159i	0.843267	−	0.537494i	$-0.180629\pi$
$110$	−4.34674			−0.414446
$111$	−7.29012	+	10.1949i	−0.691947	+	0.967658i
$112$	4.96015			0.468690
$113$	−0.551189	−	3.12595i	−0.0518515	−	0.294064i	0.947844	−	0.318734i	$-0.103258\pi$
$113$	−0.551189	−	3.12595i	−0.0518515	−	0.294064i	−0.999696	+	0.0246697i	$0.992147\pi$
$114$	0.172854	−	0.980305i	0.0161893	−	0.0918140i
$115$	−0.535892	+	0.195049i	−0.0499722	+	0.0181884i
$116$	−3.58326	−	3.00671i	−0.332697	−	0.279166i
$117$	−7.39401			−0.683577
$118$	−0.371561	−	0.311777i	−0.0342050	−	0.0287014i
$119$	−7.15302	−	12.3894i	−0.655716	−	1.13573i
$120$	1.93619	+	0.704716i	0.176749	+	0.0643314i
$121$	−3.94709	+	6.83656i	−0.358826	+	0.621505i
$122$	−4.92840	−	8.53624i	−0.446197	−	0.772835i
$123$	1.69997	+	9.64099i	0.153281	+	0.869299i
$124$	−9.41052	+	3.42515i	−0.845090	+	0.307587i
$125$	0.500000	−	0.866025i	0.0447214	−	0.0774597i
$126$	4.73235	−	3.97092i	0.421592	−	0.353757i
$127$	11.5560	−	9.69663i	1.02543	−	0.860436i	0.0351283	−	0.999383i	$-0.488816\pi$
$127$	11.5560	−	9.69663i	1.02543	−	0.860436i	0.990300	+	0.138946i	$0.0443716\pi$
$128$	−0.939693	−	0.342020i	−0.0830579	−	0.0302306i
$129$	−2.55880	+	14.5117i	−0.225290	+	1.27768i
$130$	1.03091	−	5.84659i	0.0904170	−	0.512780i
$131$	18.3756	+	6.68817i	1.60548	+	0.584348i	0.980540	−	0.196321i	$-0.0628994\pi$
$131$	18.3756	+	6.68817i	1.60548	+	0.584348i	0.624945	+	0.780669i	$0.285122\pi$
$132$	6.86089	−	5.75697i	0.597163	−	0.501080i
$133$	1.83568	−	1.54032i	0.159173	−	0.133562i
$134$	−0.208690	+	0.361462i	−0.0180281	+	0.0312256i
$135$	−3.39713	+	1.23645i	−0.292378	+	0.106417i
$136$	0.500835	+	2.84038i	0.0429463	+	0.243560i
$137$	−8.05648	−	13.9542i	−0.688312	−	1.19219i	−0.972384	−	0.233388i	$-0.925019\pi$
$137$	−8.05648	−	13.9542i	−0.688312	−	1.19219i	0.284072	−	0.958803i	$-0.408315\pi$
$138$	0.587522	−	1.01762i	0.0500132	−	0.0866254i
$139$	−4.62222	−	1.68235i	−0.392051	−	0.142695i	0.138470	−	0.990367i	$-0.455782\pi$
$139$	−4.62222	−	1.68235i	−0.392051	−	0.142695i	−0.530521	+	0.847672i	$0.678004\pi$
$140$	2.48007	+	4.29561i	0.209604	+	0.363046i
$141$	14.3586	+	12.0483i	1.20921	+	1.01465i
$142$	−9.84691			−0.826334
$143$	−19.7683	−	16.5876i	−1.65311	−	1.38712i
$144$	−1.17035	+	0.425971i	−0.0975289	+	0.0354976i
$145$	0.812259	−	4.60655i	0.0674544	−	0.382553i
$146$	−2.26152	−	12.8257i	−0.187164	−	1.06146i
$147$	36.2702			2.99152
$148$	6.05407	+	0.590148i	0.497641	+	0.0485099i
$149$	−9.02620			−0.739455			−0.369728	−	0.929140i	$-0.620549\pi$
$149$	−9.02620			−0.739455			−0.369728	+	0.929140i	$0.620549\pi$
$150$	0.357794	+	2.02915i	0.0292137	+	0.165679i
$151$	−2.31255	+	13.1151i	−0.188193	+	1.06730i	0.733591	+	0.679591i	$0.237843\pi$
$151$	−2.31255	+	13.1151i	−0.188193	+	1.06730i	−0.921784	+	0.387704i	$0.873268\pi$
$152$	−0.453977	+	0.165234i	−0.0368224	+	0.0134022i
$153$	2.75174	+	2.30898i	0.222465	+	0.186670i
$154$	21.5605			1.73739
$155$	−7.67153	−	6.43717i	−0.616192	−	0.517046i
$156$	6.11623	+	10.5936i	0.489690	+	0.848168i
$157$	−4.21473	−	1.53404i	−0.336372	−	0.122430i	0.168311	−	0.985734i	$-0.446169\pi$
$157$	−4.21473	−	1.53404i	−0.336372	−	0.122430i	−0.504684	+	0.863304i	$0.668391\pi$
$158$	−1.95425	+	3.38485i	−0.155471	+	0.269285i
$159$	−1.10053	−	1.90617i	−0.0872777	−	0.151169i
$160$	−0.173648	−	0.984808i	−0.0137281	−	0.0778559i
$161$	2.65811	−	0.967471i	0.209488	−	0.0762474i
$162$	5.59260	−	9.68667i	0.439396	−	0.761057i
$163$	−0.808306	+	0.678249i	−0.0633114	+	0.0531246i	−0.673894	−	0.738828i	$-0.735380\pi$
$163$	−0.808306	+	0.678249i	−0.0633114	+	0.0531246i	0.610583	+	0.791952i	$0.290935\pi$
$164$	3.63967	−	3.05405i	0.284210	−	0.238481i
$165$	8.41612	+	3.06322i	0.655194	+	0.238471i
$166$	−1.51710	+	8.60393i	−0.117750	+	0.667794i
$167$	−1.67499	+	9.49932i	−0.129614	+	0.735079i	0.848845	+	0.528641i	$0.177298\pi$
$167$	−1.67499	+	9.49932i	−0.129614	+	0.735079i	−0.978460	+	0.206438i	$0.933813\pi$
$168$	−9.60379	−	3.49549i	−0.740948	−	0.269683i
$169$	17.0410	−	14.2991i	1.31085	−	1.09993i
$170$	−2.20942	+	1.85392i	−0.169455	+	0.142190i
$171$	−0.300847	+	0.521083i	−0.0230064	+	0.0398482i
$172$	6.72031	−	2.44599i	0.512419	−	0.186505i
$173$	1.13375	+	6.42980i	0.0861972	+	0.488848i	0.997092	+	0.0762095i	$0.0242818\pi$
$173$	1.13375	+	6.42980i	0.0861972	+	0.488848i	−0.910895	+	0.412639i	$0.864607\pi$
$174$	4.81899	+	8.34674i	0.365327	+	0.632765i
$175$	−2.48007	+	4.29561i	−0.187476	+	0.324718i
$176$	−4.08460	−	1.48667i	−0.307888	−	0.112062i
$177$	0.499699	+	0.865504i	0.0375597	+	0.0650553i
$178$	8.28685	+	6.95350i	0.621126	+	0.521187i
$179$	19.5710			1.46280			0.731401	−	0.681948i	$-0.238867\pi$
$179$	19.5710			1.46280			0.731401	+	0.681948i	$0.238867\pi$
$180$	−0.954075	−	0.800564i	−0.0711126	−	0.0596705i
$181$	4.88191	−	1.77687i	0.362869	−	0.132074i	−0.154150	−	0.988048i	$-0.549264\pi$
$181$	4.88191	−	1.77687i	0.362869	−	0.132074i	0.517019	+	0.855974i	$0.327042\pi$
$182$	−5.11348	+	29.0000i	−0.379036	+	2.14962i
$183$	3.52670	+	20.0009i	0.260701	+	1.47851i
$184$	−0.570285			−0.0420420
$185$	2.51595	+	5.53805i	0.184976	+	0.407166i
$186$	20.6343			1.51298
$187$	2.17700	+	12.3464i	0.159198	+	0.902858i
$188$	1.57967	−	8.95874i	0.115209	−	0.653383i
$189$	16.8503	−	6.13299i	1.22568	−	0.446110i
$190$	−0.370085	−	0.310538i	−0.0268488	−	0.0225288i
$191$	4.70948			0.340766			0.170383	−	0.985378i	$-0.445500\pi$
$191$	4.70948			0.340766			0.170383	+	0.985378i	$0.445500\pi$
$192$	1.57840	+	1.32443i	0.113911	+	0.0955827i
$193$	−10.1648	−	17.6060i	−0.731682	−	1.26731i	−0.956164	−	0.292832i	$-0.905402\pi$
$193$	−10.1648	−	17.6060i	−0.731682	−	1.26731i	0.224482	−	0.974478i	$-0.427931\pi$
$194$	−11.0086	−	4.00680i	−0.790371	−	0.287672i
$195$	−6.11623	+	10.5936i	−0.437992	+	0.758625i
$196$	−8.80153	−	15.2447i	−0.628681	−	1.08891i
$197$	−1.11852	−	6.34346i	−0.0796915	−	0.451953i	−0.998376	−	0.0569616i	$-0.981859\pi$
$197$	−1.11852	−	6.34346i	−0.0796915	−	0.451953i	0.918685	−	0.394991i	$-0.129252\pi$
$198$	−5.08720	+	1.85159i	−0.361531	+	0.131587i
$199$	4.60696	−	7.97950i	0.326579	−	0.565652i	−0.655252	−	0.755411i	$-0.727437\pi$
$199$	4.60696	−	7.97950i	0.326579	−	0.565652i	0.981831	+	0.189759i	$0.0607707\pi$
$200$	0.766044	−	0.642788i	0.0541675	−	0.0454519i
$201$	0.658792	−	0.552792i	0.0464676	−	0.0389910i
$202$	−9.60211	−	3.49488i	−0.675602	−	0.245899i
$203$	−4.02892	+	22.8492i	−0.282775	+	1.60370i
$204$	1.03195	−	5.85246i	0.0722507	−	0.409754i
$205$	4.46472	+	1.62502i	0.311829	+	0.113497i
$206$	2.78590	−	2.33765i	0.194103	−	0.162872i
$207$	−0.544095	+	0.456550i	−0.0378172	+	0.0317324i
$208$	2.96839	−	5.14141i	0.205821	−	0.356493i
$209$	−1.97332	+	0.718230i	−0.136497	+	0.0496810i
$210$	−1.77471	−	10.0649i	−0.122467	−	0.694542i
$211$	−1.28223	−	2.22088i	−0.0882722	−	0.152892i	0.818509	−	0.574494i	$-0.194801\pi$
$211$	−1.28223	−	2.22088i	−0.0882722	−	0.152892i	−0.906781	+	0.421602i	$0.861468\pi$
$212$	−0.534121	+	0.925125i	−0.0366836	+	0.0635378i
$213$	19.0655	+	6.93927i	1.30635	+	0.475471i
$214$	−3.49578	−	6.05488i	−0.238967	−	0.413903i
$215$	5.47845	+	4.59696i	0.373627	+	0.313510i
$216$	−3.61515			−0.245980
$217$	38.0519	+	31.9293i	2.58313	+	2.16750i
$218$	7.51296	−	2.73449i	0.508842	−	0.185203i
$219$	−4.65974	+	26.4267i	−0.314876	+	1.78575i
$220$	−0.754804	−	4.28071i	−0.0508889	−	0.288605i
$221$	−17.1229			−1.15181
$222$	−11.3059	−	5.40903i	−0.758805	−	0.363031i
$223$	0.0869939			0.00582554			0.00291277	−	0.999996i	$-0.499073\pi$
$223$	0.0869939			0.00582554			0.00291277	+	0.999996i	$0.499073\pi$
$224$	0.861321	+	4.88479i	0.0575494	+	0.326379i
$225$	0.216271	−	1.22654i	0.0144181	−	0.0817690i
$226$	2.98274	−	1.08563i	0.198409	−	0.0722151i
$227$	−2.39256	−	2.00760i	−0.158800	−	0.133249i	0.559925	−	0.828543i	$-0.310830\pi$
$227$	−2.39256	−	2.00760i	−0.158800	−	0.133249i	−0.718726	+	0.695294i	$0.755274\pi$
$228$	0.995428			0.0659238
$229$	−13.2870	−	11.1491i	−0.878030	−	0.736755i	0.0877430	−	0.996143i	$-0.472035\pi$
$229$	−13.2870	−	11.1491i	−0.878030	−	0.736755i	−0.965773	+	0.259388i	$0.916479\pi$
$230$	−0.285142	−	0.493881i	−0.0188017	−	0.0325656i
$231$	−41.7452	−	15.1940i	−2.74663	−	0.999693i
$232$	2.33881	−	4.05093i	0.153550	−	0.265957i
$233$	11.4718	+	19.8697i	0.751539	+	1.30170i	0.947076	+	0.321008i	$0.104022\pi$
$233$	11.4718	+	19.8697i	0.751539	+	1.30170i	−0.195537	+	0.980696i	$0.562645\pi$
$234$	−1.28396	−	7.28168i	−0.0839349	−	0.476018i
$235$	8.54833	−	3.11134i	0.557631	−	0.202961i
$236$	0.242519	−	0.420056i	0.0157867	−	0.0273433i
$237$	6.16915	−	5.17653i	0.400730	−	0.336252i
$238$	10.9591	−	9.19574i	0.710370	−	0.596071i
$239$	10.6911	+	3.89124i	0.691550	+	0.251704i	0.663799	−	0.747911i	$-0.268943\pi$
$239$	10.6911	+	3.89124i	0.691550	+	0.251704i	0.0277513	+	0.999615i	$0.491165\pi$
$240$	−0.357794	+	2.02915i	−0.0230955	+	0.130981i
$241$	−4.43313	+	25.1415i	−0.285563	+	1.61951i	0.417705	+	0.908583i	$0.362834\pi$
$241$	−4.43313	+	25.1415i	−0.285563	+	1.61951i	−0.703268	+	0.710925i	$0.748277\pi$
$242$	−7.41810	−	2.69997i	−0.476853	−	0.173560i
$243$	−9.34660	+	7.84273i	−0.599585	+	0.503111i
$244$	7.55075	−	6.33583i	0.483387	−	0.405610i
$245$	8.80153	−	15.2447i	0.562309	−	0.973948i
$246$	−9.19933	+	3.34828i	−0.586528	+	0.213479i
$247$	−0.498046	−	2.82456i	−0.0316899	−	0.179722i
$248$	−5.00723	−	8.67278i	−0.317960	−	0.550722i
$249$	9.00073	−	15.5897i	0.570398	−	0.987958i
$250$	0.939693	+	0.342020i	0.0594314	+	0.0216313i
$251$	−9.90417	−	17.1545i	−0.625145	−	1.08278i	−0.988513	−	0.151138i	$-0.951706\pi$
$251$	−9.90417	−	17.1545i	−0.625145	−	1.08278i	0.363367	−	0.931646i	$-0.381627\pi$
$252$	4.73235	+	3.97092i	0.298110	+	0.250144i
$253$	−2.47888			−0.155846
$254$	11.5560	+	9.69663i	0.725087	+	0.608420i
$255$	5.58435	−	2.03254i	0.349706	−	0.127282i
$256$	0.173648	−	0.984808i	0.0108530	−	0.0615505i
$257$	−3.72992	−	21.1534i	−0.232666	−	1.31951i	−0.847474	−	0.530837i	$-0.821878\pi$
$257$	−3.72992	−	21.1534i	−0.232666	−	1.31951i	0.614808	−	0.788677i	$-0.289234\pi$
$258$	−14.7355			−0.917394
$259$	−12.4795	−	27.4695i	−0.775437	−	1.70687i
$260$	5.93679			0.368184
$261$	−1.01163	−	5.73726i	−0.0626185	−	0.355127i
$262$	−3.39567	+	19.2578i	−0.209785	+	1.18975i
$263$	−24.5144	+	8.92253i	−1.51162	+	0.550186i	−0.959040	−	0.283270i	$-0.908581\pi$
$263$	−24.5144	+	8.92253i	−1.51162	+	0.550186i	−0.552585	+	0.833457i	$0.686358\pi$
$264$	6.86089	+	5.75697i	0.422258	+	0.354317i
$265$	−1.06824			−0.0656216
$266$	1.83568	+	1.54032i	0.112553	+	0.0944428i
$267$	−11.1447	−	19.3032i	−0.682044	−	1.18133i
$268$	−0.392210	−	0.142753i	−0.0239580	−	0.00872000i
$269$	−10.1863	+	17.6433i	−0.621072	+	1.07573i	0.368214	+	0.929741i	$0.379969\pi$
$269$	−10.1863	+	17.6433i	−0.621072	+	1.07573i	−0.989286	+	0.145988i	$0.953364\pi$
$270$	−1.80757	−	3.13081i	−0.110005	−	0.190535i
$271$	−2.79076	−	15.8272i	−0.169527	−	0.961433i	−0.944274	−	0.329162i	$-0.893234\pi$
$271$	−2.79076	−	15.8272i	−0.169527	−	0.961433i	0.774747	−	0.632271i	$-0.217877\pi$
$272$	−2.71026	+	0.986453i	−0.164333	+	0.0598125i
$273$	30.3374	−	52.5459i	1.83610	−	3.18022i
$274$	12.3432	−	10.3572i	0.745683	−	0.625702i
$275$	3.32980	−	2.79403i	0.200794	−	0.168487i
$276$	1.10418	+	0.401889i	0.0664638	+	0.0241909i
$277$	1.32360	−	7.50651i	0.0795275	−	0.451023i	−0.918876	−	0.394545i	$-0.870902\pi$
$277$	1.32360	−	7.50651i	0.0795275	−	0.451023i	0.998404	−	0.0564772i	$-0.0179868\pi$
$278$	0.854151	−	4.84413i	0.0512286	−	0.290532i
$279$	−11.7204	−	4.26588i	−0.701682	−	0.255391i
$280$	−3.79969	+	3.18832i	−0.227075	+	0.190539i
$281$	−4.94840	+	4.15220i	−0.295197	+	0.247699i	−0.778342	−	0.627841i	$-0.783939\pi$
$281$	−4.94840	+	4.15220i	−0.295197	+	0.247699i	0.483145	+	0.875540i	$0.339494\pi$
$282$	−9.37190	+	16.2326i	−0.558088	+	0.966637i
$283$	−8.89779	+	3.23853i	−0.528919	+	0.192511i	−0.592655	−	0.805456i	$-0.701920\pi$
$283$	−8.89779	+	3.23853i	−0.528919	+	0.192511i	0.0637368	+	0.997967i	$0.479698\pi$
$284$	−1.70990	−	9.69731i	−0.101464	−	0.575430i
$285$	0.497714	+	0.862066i	0.0294820	+	0.0510644i
$286$	12.9028	−	22.3484i	0.762961	−	1.32149i
$287$	−22.1456	−	8.06036i	−1.30722	−	0.475788i
$288$	−0.622729	−	1.07860i	−0.0366946	−	0.0635570i
$289$	−6.65035	−	5.58031i	−0.391197	−	0.328253i
$290$	4.67761			0.274679
$291$	18.4911	+	15.5159i	1.08397	+	0.909556i
$292$	12.2381	−	4.45432i	0.716183	−	0.260669i
$293$	−0.806279	+	4.57263i	−0.0471033	+	0.267136i	−0.999260	−	0.0384756i	$-0.987750\pi$
$293$	−0.806279	+	4.57263i	−0.0471033	+	0.267136i	0.952156	+	0.305612i	$0.0988609\pi$
$294$	6.29826	+	35.7192i	0.367322	+	2.08319i
$295$	0.485039			0.0282400
$296$	0.470095	+	6.06457i	0.0273237	+	0.352496i
$297$	−15.7141			−0.911826
$298$	−1.56738	−	8.88907i	−0.0907961	−	0.514930i
$299$	0.587914	−	3.33422i	0.0339999	−	0.192823i
$300$	−1.93619	+	0.704716i	−0.111786	+	0.0406868i
$301$	−27.1739	−	22.8016i	−1.56628	−	1.31426i
$302$	−13.3175			−0.766334
$303$	16.1286	+	13.5335i	0.926564	+	0.777480i
$304$	−0.241556	−	0.418387i	−0.0138542	−	0.0239961i
$305$	9.26237	+	3.37123i	0.530362	+	0.193036i
$306$	−1.79607	+	3.11089i	−0.102675	+	0.177837i
$307$	5.94768	+	10.3017i	0.339452	+	0.587948i	0.984330	−	0.176338i	$-0.0564250\pi$
$307$	5.94768	+	10.3017i	0.339452	+	0.587948i	−0.644878	+	0.764286i	$0.723092\pi$
$308$	3.74394	+	21.2329i	0.213331	+	1.20986i
$309$	−7.04141	+	2.56286i	−0.400572	+	0.145796i
$310$	5.00723	−	8.67278i	0.284392	−	0.492581i
$311$	11.0191	−	9.24615i	0.624838	−	0.524301i	−0.274482	−	0.961592i	$-0.588507\pi$
$311$	11.0191	−	9.24615i	0.624838	−	0.524301i	0.899320	+	0.437291i	$0.144062\pi$
$312$	−9.37060	+	7.86287i	−0.530506	+	0.445147i
$313$	19.0310	+	6.92671i	1.07569	+	0.391521i	0.818303	−	0.574787i	$-0.194915\pi$
$313$	19.0310	+	6.92671i	1.07569	+	0.391521i	0.257391	+	0.966307i	$0.417137\pi$
$314$	0.778851	−	4.41709i	0.0439531	−	0.249271i
$315$	−1.07274	+	6.08380i	−0.0604419	+	0.342783i
$316$	−3.67278	−	1.33678i	−0.206610	−	0.0751999i
$317$	1.34849	−	1.13152i	0.0757388	−	0.0635524i	−0.604132	−	0.796884i	$-0.706480\pi$
$317$	1.34849	−	1.13152i	0.0757388	−	0.0635524i	0.679871	+	0.733332i	$0.262036\pi$
$318$	1.68611	−	1.41481i	0.0945524	−	0.0793389i
$319$	10.1662	−	17.6084i	0.569197	−	0.985878i
$320$	0.939693	−	0.342020i	0.0525304	−	0.0191195i
$321$	2.50154	+	14.1869i	0.139622	+	0.791837i
$322$	1.41435	+	2.44972i	0.0788186	+	0.136518i
$323$	−0.696694	+	1.20671i	−0.0387651	+	0.0671431i
$324$	10.5107	+	3.82557i	0.583925	+	0.212531i
$325$	2.96839	+	5.14141i	0.164657	+	0.285194i
$326$	−0.808306	−	0.678249i	−0.0447679	−	0.0375647i
$327$	−16.4736			−0.910989
$328$	3.63967	+	3.05405i	0.200967	+	0.168631i
$329$	−42.4010	+	15.4327i	−2.33764	+	0.850831i
$330$	−1.55524	+	8.82018i	−0.0856130	+	0.485535i
$331$	1.60008	+	9.07449i	0.0879482	+	0.498779i	0.996681	+	0.0814014i	$0.0259396\pi$
$331$	1.60008	+	9.07449i	0.0879482	+	0.498779i	−0.908733	+	0.417377i	$0.862949\pi$
$332$	−8.73666			−0.479486
$333$	5.30358	+	5.40972i	0.290635	+	0.296451i
$334$	−9.64586			−0.527798
$335$	−0.0724774	−	0.411040i	−0.00395986	−	0.0224575i
$336$	1.77471	−	10.0649i	0.0968183	−	0.549084i
$337$	1.85884	−	0.676561i	0.101257	−	0.0368546i	−0.290895	−	0.956755i	$-0.593953\pi$
$337$	1.85884	−	0.676561i	0.101257	−	0.0368546i	0.392152	+	0.919900i	$0.371731\pi$
$338$	17.0410	+	14.2991i	0.926908	+	0.777768i
$339$	−6.54022			−0.355216
$340$	−2.20942	−	1.85392i	−0.119823	−	0.100543i
$341$	−21.7652	−	37.6984i	−1.17865	−	2.04148i
$342$	−0.565408	−	0.205792i	−0.0305738	−	0.0111279i
$343$	−26.2964	+	45.5467i	−1.41987	+	2.45929i
$344$	3.57580	+	6.19347i	0.192794	+	0.333929i
$345$	0.204044	+	1.15719i	0.0109854	+	0.0623011i
$346$	−6.13524	+	2.23305i	−0.329833	+	0.120049i
$347$	9.71659	−	16.8296i	0.521614	−	0.903462i	−0.478070	−	0.878322i	$-0.658664\pi$
$347$	9.71659	−	16.8296i	0.521614	−	0.903462i	0.999684	−	0.0251399i	$-0.00800313\pi$
$348$	−7.38313	+	6.19518i	−0.395777	+	0.332096i
$349$	−23.1442	+	19.4203i	−1.23888	+	1.03955i	−0.241271	+	0.970458i	$0.577564\pi$
$349$	−23.1442	+	19.4203i	−1.23888	+	1.03955i	−0.997611	+	0.0690875i	$0.977991\pi$
$350$	−4.66101	−	1.69647i	−0.249142	−	0.0906802i
$351$	3.72690	−	21.1363i	0.198927	−	1.12817i
$352$	0.754804	−	4.28071i	0.0402312	−	0.228162i
$353$	−27.0456	−	9.84380i	−1.43949	−	0.523933i	−0.499857	−	0.866108i	$-0.666614\pi$
$353$	−27.0456	−	9.84380i	−1.43949	−	0.523933i	−0.939636	+	0.342175i	$0.888836\pi$
$354$	−0.765583	+	0.642401i	−0.0406903	+	0.0341432i
$355$	7.54317	−	6.32947i	0.400350	−	0.335933i
$356$	−5.40886	+	9.36842i	−0.286669	+	0.496525i
$357$	−27.6992	+	10.0817i	−1.46600	+	0.533579i
$358$	3.39846	+	19.2736i	0.179614	+	1.01864i
$359$	9.09425	+	15.7517i	0.479976	+	0.831343i	0.999736	−	0.0229691i	$-0.00731192\pi$
$359$	9.09425	+	15.7517i	0.479976	+	0.831343i	−0.519760	+	0.854312i	$0.673979\pi$
$360$	0.622729	−	1.07860i	0.0328207	−	0.0568471i
$361$	17.6348	+	6.41856i	0.928149	+	0.337819i
$362$	2.59761	+	4.49919i	0.136527	+	0.236472i
$363$	12.4601	+	10.4553i	0.653988	+	0.548761i
$364$	−29.4473			−1.54346
$365$	9.97662	+	8.37138i	0.522200	+	0.438178i
$366$	−19.0846	+	6.94624i	−0.997571	+	0.363086i
$367$	−0.0140158	+	0.0794875i	−0.000731618	+	0.00414921i	−0.985171	−	0.171573i	$-0.945115\pi$
$367$	−0.0140158	+	0.0794875i	−0.000731618	+	0.00414921i	0.984440	+	0.175722i	$0.0562261\pi$
$368$	−0.0990289	−	0.561621i	−0.00516224	−	0.0292765i
$369$	5.91748			0.308052
$370$	−5.01702	+	3.43940i	−0.260823	+	0.178806i
$371$	5.29864			0.275092
$372$	3.58311	+	20.3208i	0.185776	+	1.05359i
$373$	−0.648124	+	3.67570i	−0.0335586	+	0.190320i	−0.996979	−	0.0776754i	$-0.975250\pi$
$373$	−0.648124	+	3.67570i	−0.0335586	+	0.190320i	0.963420	+	0.267996i	$0.0863613\pi$
$374$	−11.7808	+	4.28786i	−0.609170	+	0.221720i
$375$	−1.57840	−	1.32443i	−0.0815081	−	0.0683934i
$376$	9.09694			0.469139
$377$	21.2730	+	17.8502i	1.09562	+	0.919332i
$378$	8.96584	+	15.5293i	0.461153	+	0.798740i
$379$	30.7036	+	11.1752i	1.57714	+	0.574031i	0.974579	−	0.224044i	$-0.0719258\pi$
$379$	30.7036	+	11.1752i	1.57714	+	0.574031i	0.602558	+	0.798075i	$0.294148\pi$
$380$	0.241556	−	0.418387i	0.0123916	−	0.0214628i
$381$	−15.5412	−	26.9182i	−0.796201	−	1.37906i
$382$	0.817793	+	4.63793i	0.0418419	+	0.237297i
$383$	6.74745	−	2.45587i	0.344779	−	0.125489i	−0.163826	−	0.986489i	$-0.552384\pi$
$383$	6.74745	−	2.45587i	0.344779	−	0.125489i	0.508605	+	0.861000i	$0.330161\pi$
$384$	−1.03023	+	1.78440i	−0.0525735	+	0.0910599i
$385$	−16.5163	+	13.8588i	−0.841748	+	0.706311i
$386$	15.5735	−	13.0677i	0.792668	−	0.665127i
$387$	8.36985	+	3.04638i	0.425464	+	0.154856i
$388$	2.03431	−	11.5371i	0.103276	−	0.585709i
$389$	0.408834	−	2.31861i	0.0207287	−	0.117558i	−0.972688	−	0.232118i	$-0.925435\pi$
$389$	0.408834	−	2.31861i	0.0207287	−	0.117558i	0.993416	+	0.114559i	$0.0365456\pi$
$390$	−11.4947	−	4.18375i	−0.582059	−	0.211852i
$391$	−1.26000	+	1.05727i	−0.0637209	+	0.0534682i
$392$	13.4847	−	11.3150i	0.681082	−	0.571495i
$393$	20.1460	−	34.8938i	1.01623	−	1.76016i
$394$	6.05286	−	2.20306i	0.304939	−	0.110989i
$395$	−0.678703	−	3.84911i	−0.0341492	−	0.193670i
$396$	−2.70684	−	4.68839i	−0.136024	−	0.235600i
$397$	−1.52681	+	2.64451i	−0.0766283	+	0.132724i	−0.901793	−	0.432168i	$-0.857749\pi$
$397$	−1.52681	+	2.64451i	−0.0766283	+	0.132724i	0.825165	+	0.564892i	$0.191082\pi$
$398$	8.65826	+	3.15135i	0.433999	+	0.157963i
$399$	−2.46873	−	4.27597i	−0.123591	−	0.214066i
$400$	0.766044	+	0.642788i	0.0383022	+	0.0321394i
$401$	21.1357			1.05546			0.527732	−	0.849411i	$-0.323042\pi$
$401$	21.1357			1.05546			0.527732	+	0.849411i	$0.323042\pi$
$402$	0.658792	+	0.552792i	0.0328576	+	0.0275708i
$403$	55.8682	−	20.3344i	2.78300	−	1.01293i
$404$	1.77440	−	10.0631i	0.0882796	−	0.500658i
$405$	1.94229	+	11.0153i	0.0965132	+	0.547354i
$406$	−23.2016			−1.15148
$407$	2.04338	+	26.3611i	0.101287	+	1.30667i
$408$	5.94274			0.294210
$409$	0.174297	+	0.988488i	0.00861844	+	0.0488776i	0.988814	−	0.149156i	$-0.0476556\pi$
$409$	0.174297	+	0.988488i	0.00861844	+	0.0488776i	−0.980195	+	0.198033i	$0.936545\pi$
$410$	−0.825046	+	4.67907i	−0.0407461	+	0.231083i
$411$	−31.1978	+	11.3551i	−1.53887	+	0.560104i
$412$	2.78590	+	2.33765i	0.137251	+	0.115168i
$413$	−2.40586			−0.118385
$414$	−0.544095	−	0.456550i	−0.0267408	−	0.0224382i
$415$	−4.36833	−	7.56617i	−0.214433	−	0.371409i
$416$	5.57875	+	2.03050i	0.273521	+	0.0995535i
$417$	−5.06753	+	8.77723i	−0.248158	+	0.429823i
$418$	−1.04998	−	1.81862i	−0.0513563	−	0.0889517i
$419$	−4.97195	−	28.1974i	−0.242896	−	1.37753i	−0.825329	−	0.564652i	$-0.809010\pi$
$419$	−4.97195	−	28.1974i	−0.242896	−	1.37753i	0.582433	−	0.812879i	$-0.302101\pi$
$420$	9.60379	−	3.49549i	0.468617	−	0.170563i
$421$	−2.69898	+	4.67476i	−0.131540	+	0.227834i	−0.924270	−	0.381738i	$-0.875326\pi$
$421$	−2.69898	+	4.67476i	−0.131540	+	0.227834i	0.792730	+	0.609572i	$0.208659\pi$
$422$	1.96449	−	1.64840i	0.0956298	−	0.0802429i
$423$	8.67917	−	7.28268i	0.421995	−	0.354096i
$424$	−1.00382	−	0.365360i	−0.0487498	−	0.0177435i
$425$	0.500835	−	2.84038i	0.0242941	−	0.137779i
$426$	−3.52316	+	19.9808i	−0.170698	+	0.968074i
$427$	−45.9427	−	16.7218i	−2.22332	−	0.809223i
$428$	5.35585	−	4.49409i	0.258885	−	0.217230i
$429$	−40.7316	+	34.1779i	−1.96654	+	1.65012i
$430$	−3.57580	+	6.19347i	−0.172440	+	0.298676i
$431$	36.3083	−	13.2152i	1.74891	−	0.636552i	0.749243	−	0.662295i	$-0.230418\pi$
$431$	36.3083	−	13.2152i	1.74891	−	0.636552i	0.999669	+	0.0257434i	$0.00819528\pi$
$432$	−0.627764	−	3.56023i	−0.0302033	−	0.171292i
$433$	−10.4979	−	18.1830i	−0.504499	−	0.873818i	−0.999986	−	0.00520307i	$-0.998344\pi$
$433$	−10.4979	−	18.1830i	−0.504499	−	0.873818i	0.495487	−	0.868615i	$-0.334990\pi$
$434$	−24.8366	+	43.0183i	−1.19220	+	2.06494i
$435$	−9.05674	−	3.29639i	−0.434238	−	0.158050i
$436$	3.99756	+	6.92398i	0.191448	+	0.331598i
$437$	−0.211054	−	0.177095i	−0.0100961	−	0.00847162i
$438$	−26.8344			−1.28220
$439$	−11.4539	−	9.61093i	−0.546663	−	0.458705i	0.327146	−	0.944974i	$-0.393913\pi$
$439$	−11.4539	−	9.61093i	−0.546663	−	0.458705i	−0.873809	+	0.486269i	$0.838358\pi$
$440$	4.08460	−	1.48667i	0.194726	−	0.0708744i
$441$	3.80704	−	21.5908i	0.181288	−	1.02813i
$442$	−2.97335	−	16.8627i	−0.141428	−	0.802078i
$443$	−8.96562			−0.425970			−0.212985	−	0.977056i	$-0.568318\pi$
$443$	−8.96562			−0.425970			−0.212985	+	0.977056i	$0.568318\pi$
$444$	3.36360	−	12.0734i	0.159630	−	0.572980i
$445$	−10.8177			−0.512809
$446$	0.0151063	+	0.0856722i	0.000715305	+	0.00405670i
$447$	−3.22952	+	18.3155i	−0.152751	+	0.866293i
$448$	−4.66101	+	1.69647i	−0.220212	+	0.0801507i
$449$	14.4986	+	12.1657i	0.684229	+	0.574137i	0.917239	−	0.398338i	$-0.130413\pi$
$449$	14.4986	+	12.1657i	0.684229	+	0.574137i	−0.233009	+	0.972474i	$0.574857\pi$
$450$	1.24546			0.0587114
$451$	15.8207	+	13.2752i	0.744968	+	0.625102i
$452$	1.58709	+	2.74891i	0.0746502	+	0.129298i
$453$	25.7851	+	9.38503i	1.21149	+	0.440947i
$454$	1.56164	−	2.70483i	0.0732912	−	0.126944i
$455$	−14.7237	−	25.5021i	−0.690256	−	1.19556i
$456$	0.172854	+	0.980305i	0.00809464	+	0.0459070i
$457$	9.51829	−	3.46437i	0.445247	−	0.162057i	−0.109660	−	0.993969i	$-0.534976\pi$
$457$	9.51829	−	3.46437i	0.445247	−	0.162057i	0.554907	+	0.831913i	$0.312754\pi$
$458$	8.67248	−	15.0212i	0.405238	−	0.701893i
$459$	−7.98739	+	6.70222i	−0.372819	+	0.312833i
$460$	0.436864	−	0.366572i	0.0203689	−	0.0170915i
$461$	4.14693	+	1.50936i	0.193142	+	0.0702978i	0.436780	−	0.899568i	$-0.356119\pi$
$461$	4.14693	+	1.50936i	0.193142	+	0.0702978i	−0.243638	+	0.969866i	$0.578341\pi$
$462$	7.71420	−	43.7494i	0.358897	−	2.03541i
$463$	4.99105	−	28.3057i	0.231954	−	1.31548i	−0.616981	−	0.786978i	$-0.711644\pi$
$463$	4.99105	−	28.3057i	0.231954	−	1.31548i	0.848935	−	0.528498i	$-0.177245\pi$
$464$	4.39552	+	1.59984i	0.204057	+	0.0742706i
$465$	−15.8068	+	13.2635i	−0.733023	+	0.615079i
$466$	−17.5757	+	14.7478i	−0.814181	+	0.683179i
$467$	9.64303	−	16.7022i	0.446226	−	0.772886i	−0.551911	−	0.833903i	$-0.686101\pi$
$467$	9.64303	−	16.7022i	0.446226	−	0.772886i	0.998137	+	0.0610171i	$0.0194344\pi$
$468$	6.94810	−	2.52890i	0.321176	−	0.116898i
$469$	0.359499	+	2.03882i	0.0166001	+	0.0941438i
$470$	4.54847	+	7.87818i	0.209805	+	0.363393i
$471$	−4.62079	+	8.00345i	−0.212915	+	0.368780i
$472$	0.455787	+	0.165893i	0.0209793	+	0.00763584i
$473$	15.5431	+	26.9214i	0.714672	+	1.23785i
$474$	6.16915	+	5.17653i	0.283359	+	0.237766i
$475$	0.483112			0.0221667
$476$	10.9591	+	9.19574i	0.502308	+	0.421486i
$477$	−1.25021	+	0.455041i	−0.0572434	+	0.0208349i
$478$	−1.97564	+	11.2044i	−0.0903635	+	0.512477i
$479$	0.00837754	+	0.0475114i	0.000382779	+	0.00217085i	0.984999	−	0.172563i	$-0.0552047\pi$
$479$	0.00837754	+	0.0475114i	0.000382779	+	0.00217085i	−0.984616	+	0.174733i	$0.944094\pi$
$480$	−2.06045			−0.0940463
$481$	−35.9417	−	3.50358i	−1.63880	−	0.159750i
$482$	−25.5294			−1.16283
$483$	−1.01209	−	5.73984i	−0.0460517	−	0.261172i
$484$	1.37081	−	7.77425i	0.0623095	−	0.353375i
$485$	11.0086	−	4.00680i	0.499875	−	0.181939i
$486$	−9.34660	−	7.84273i	−0.423970	−	0.355753i
$487$	38.3581			1.73817			0.869086	−	0.494662i	$-0.164708\pi$
$487$	38.3581			1.73817			0.869086	+	0.494662i	$0.164708\pi$
$488$	7.55075	+	6.33583i	0.341806	+	0.286810i
$489$	1.08706	+	1.88284i	0.0491586	+	0.0851452i
$490$	16.5415	+	6.02060i	0.747267	+	0.271983i
$491$	−14.1614	+	24.5282i	−0.639094	+	1.10694i	0.346538	+	0.938036i	$0.387357\pi$
$491$	−14.1614	+	24.5282i	−0.639094	+	1.10694i	−0.985632	+	0.168908i	$0.945976\pi$
$492$	−4.89486	−	8.47815i	−0.220677	−	0.382224i
$493$	−2.34271	−	13.2862i	−0.105510	−	0.598380i
$494$	2.69516	−	0.980959i	0.121261	−	0.0441354i
$495$	2.70684	−	4.68839i	0.121663	−	0.210727i
$496$	7.67153	−	6.43717i	0.344462	−	0.289038i
$497$	−37.4152	+	31.3951i	−1.67830	+	1.40826i
$498$	16.9158	+	6.15686i	0.758016	+	0.275895i
$499$	0.256205	−	1.45301i	0.0114693	−	0.0650458i	−0.978536	−	0.206076i	$-0.933930\pi$
$499$	0.256205	−	1.45301i	0.0114693	−	0.0650458i	0.990005	+	0.141031i	$0.0450416\pi$
$500$	−0.173648	+	0.984808i	−0.00776578	+	0.0440419i
$501$	18.6762	+	6.79759i	0.834392	+	0.303694i
$502$	15.1741	−	12.7325i	0.677252	−	0.568281i
$503$	14.4578	−	12.1315i	0.644640	−	0.540918i	−0.260799	−	0.965393i	$-0.583986\pi$
$503$	14.4578	−	12.1315i	0.644640	−	0.540918i	0.905439	+	0.424476i	$0.139542\pi$
$504$	−3.08883	+	5.35000i	−0.137587	+	0.238308i
$505$	9.60211	−	3.49488i	0.427288	−	0.155520i
$506$	−0.430453	−	2.44122i	−0.0191360	−	0.108526i
$507$	−22.9178	−	39.6948i	−1.01782	−	1.76291i
$508$	−7.54264	+	13.0642i	−0.334650	+	0.579631i
$509$	31.0438	+	11.2990i	1.37599	+	0.500820i	0.920960	−	0.389656i	$-0.127406\pi$
$509$	31.0438	+	11.2990i	1.37599	+	0.500820i	0.455030	+	0.890476i	$0.349628\pi$
$510$	2.97137	+	5.14657i	0.131575	+	0.227894i
$511$	−49.4855	−	41.5233i	−2.18911	−	1.83688i
$512$	1.00000			0.0441942
$513$	−1.33791	−	1.12264i	−0.0590703	−	0.0495659i
$514$	20.1844	−	7.34651i	0.890294	−	0.324041i
$515$	−0.631513	+	3.58149i	−0.0278278	+	0.157819i
$516$	−2.55880	−	14.5117i	−0.112645	−	0.638840i
$517$	39.5421			1.73906
$518$	24.8852	−	17.0599i	1.09339	−	0.749570i
$519$	13.4527			0.590506
$520$	1.03091	+	5.84659i	0.0452085	+	0.256390i
$521$	1.75526	−	9.95456i	0.0768992	−	0.436117i	−0.921913	−	0.387396i	$-0.873374\pi$
$521$	1.75526	−	9.95456i	0.0768992	−	0.436117i	0.998812	−	0.0487206i	$-0.0155144\pi$
$522$	5.47443	−	1.99253i	0.239609	−	0.0872106i
$523$	−13.2518	−	11.1196i	−0.579462	−	0.486227i	0.305308	−	0.952254i	$-0.401241\pi$
$523$	−13.2518	−	11.1196i	−0.579462	−	0.486227i	−0.884771	+	0.466027i	$0.845685\pi$
$524$	−19.5549			−0.854260
$525$	7.82908	+	6.56938i	0.341689	+	0.286711i
$526$	−13.0439	−	22.5926i	−0.568739	−	0.985085i
$527$	−27.1418	−	9.87880i	−1.18231	−	0.430327i
$528$	−4.47812	+	7.75634i	−0.194885	+	0.337551i
$529$	11.3374	+	19.6369i	0.492930	+	0.853780i
$530$	−0.185498	−	1.05201i	−0.00805753	−	0.0456965i
$531$	0.567663	−	0.206613i	0.0246345	−	0.00896622i
$532$	−1.19815	+	2.07526i	−0.0519465	+	0.0899740i
$533$	−21.6079	+	18.1312i	−0.935944	+	0.785350i
$534$	17.0747	−	14.3273i	0.738892	−	0.620004i
$535$	6.56993	+	2.39126i	0.284043	+	0.103383i
$536$	0.0724774	−	0.411040i	0.00313055	−	0.0177542i
$537$	7.00236	−	39.7124i	0.302174	−	1.71371i
$538$	−19.1441	−	6.96787i	−0.825359	−	0.300406i
$539$	58.6146	−	49.1835i	2.52471	−	2.11848i
$540$	2.76937	−	2.32377i	0.119174	−	0.0999993i
$541$	−13.5189	+	23.4155i	−0.581224	+	1.00671i	0.414111	+	0.910227i	$0.364093\pi$
$541$	−13.5189	+	23.4155i	−0.581224	+	1.00671i	−0.995335	+	0.0964830i	$0.969241\pi$
$542$	15.1021	−	5.49672i	0.648692	−	0.236105i
$543$	−1.85882	−	10.5419i	−0.0797694	−	0.452395i
$544$	−1.44210	−	2.49779i	−0.0618294	−	0.107092i
$545$	−3.99756	+	6.92398i	−0.171237	+	0.296591i
$546$	57.0156	+	20.7520i	2.44004	+	0.888104i
$547$	9.53210	+	16.5101i	0.407563	+	0.705920i	0.994616	−	0.103628i	$-0.0330453\pi$
$547$	9.53210	+	16.5101i	0.407563	+	0.705920i	−0.587053	+	0.809549i	$0.699712\pi$
$548$	12.3432	+	10.3572i	0.527277	+	0.442438i
$549$	12.2762			0.523937
$550$	3.32980	+	2.79403i	0.141983	+	0.119138i
$551$	2.12353	−	0.772900i	0.0904652	−	0.0329267i
$552$	−0.204044	+	1.15719i	−0.00868470	+	0.0492534i
$553$	3.36646	+	19.0922i	0.143157	+	0.811882i
$554$	7.62231			0.323841
$555$	12.1377	−	3.12376i	0.515217	−	0.132596i
$556$	4.91886			0.208606
$557$	−5.88076	−	33.3514i	−0.249176	−	1.41315i	−0.810592	−	0.585612i	$-0.800854\pi$
$557$	−5.88076	−	33.3514i	−0.249176	−	1.41315i	0.561416	−	0.827534i	$-0.310257\pi$
$558$	2.16584	−	12.2831i	0.0916874	−	0.519985i
$559$	−39.8970	+	14.5213i	−1.68746	+	0.614187i
$560$	−3.79969	−	3.18832i	−0.160566	−	0.134731i
$561$	25.8316			1.09061
$562$	−4.94840	−	4.15220i	−0.208736	−	0.175150i
$563$	8.19284	+	14.1904i	0.345287	+	0.598054i	0.985406	−	0.170221i	$-0.0544483\pi$
$563$	8.19284	+	14.1904i	0.345287	+	0.598054i	−0.640119	+	0.768276i	$0.721115\pi$
$564$	−17.6134	−	6.41075i	−0.741658	−	0.269941i
$565$	−1.58709	+	2.74891i	−0.0667692	+	0.115648i
$566$	−4.73441	−	8.20025i	−0.199002	−	0.344682i
$567$	−9.63405	−	54.6374i	−0.404592	−	2.29456i
$568$	9.25307	−	3.36784i	0.388250	−	0.141311i
$569$	13.4941	−	23.3724i	0.565701	−	0.979822i	−0.431283	−	0.902216i	$-0.641939\pi$
$569$	13.4941	−	23.3724i	0.565701	−	0.979822i	0.996984	−	0.0776058i	$-0.0247276\pi$
$570$	−0.762542	+	0.639849i	−0.0319394	+	0.0268003i
$571$	−28.8252	+	24.1872i	−1.20630	+	1.01220i	−0.206868	+	0.978369i	$0.566327\pi$
$571$	−28.8252	+	24.1872i	−1.20630	+	1.01220i	−0.999427	+	0.0338334i	$0.989228\pi$
$572$	24.2494	+	8.82606i	1.01392	+	0.369036i
$573$	1.68502	−	9.55623i	0.0703928	−	0.399217i
$574$	4.09235	−	23.2089i	0.170811	−	0.968720i
$575$	0.535892	+	0.195049i	0.0223483	+	0.00813410i
$576$	0.954075	−	0.800564i	0.0397531	−	0.0333568i
$577$	−17.1193	+	14.3648i	−0.712687	+	0.598016i	−0.925352	−	0.379110i	$-0.876230\pi$
$577$	−17.1193	+	14.3648i	−0.712687	+	0.598016i	0.212664	+	0.977125i	$0.431786\pi$
$578$	4.34071	−	7.51833i	0.180550	−	0.312721i
$579$	−39.3622	+	14.3267i	−1.63584	+	0.595395i
$580$	0.812259	+	4.60655i	0.0337272	+	0.191276i
$581$	21.6676	+	37.5293i	0.898922	+	1.55698i
$582$	−12.0692	+	20.9045i	−0.500284	+	0.866518i
$583$	−4.36335	−	1.58813i	−0.180711	−	0.0657735i
$584$	6.51178	+	11.2787i	0.269459	+	0.466717i
$585$	5.66414	+	4.75278i	0.234183	+	0.196503i
$586$	−4.64317			−0.191808
$587$	26.2776	+	22.0495i	1.08459	+	0.910082i	0.996294	−	0.0860123i	$-0.0274124\pi$
$587$	26.2776	+	22.0495i	1.08459	+	0.910082i	0.0882991	+	0.996094i	$0.471857\pi$
$588$	−34.0829	+	12.4052i	−1.40555	+	0.511580i
$589$	0.840128	−	4.76460i	0.0346169	−	0.196322i
$590$	0.0842261	+	0.477670i	0.00346753	+	0.0196654i
$591$	−13.2720			−0.545938
$592$	−5.89080	+	1.51605i	−0.242111	+	0.0623095i
$593$	−38.5224			−1.58192			−0.790962	−	0.611865i	$-0.790420\pi$
$593$	−38.5224			−1.58192			−0.790962	+	0.611865i	$0.790420\pi$
$594$	−2.72873	−	15.4754i	−0.111961	−	0.634963i
$595$	−2.48422	+	14.0887i	−0.101843	+	0.577580i
$596$	8.48185	−	3.08714i	0.347430	−	0.126454i
$597$	−14.5432	−	12.2032i	−0.595215	−	0.499445i
$598$	3.38566			0.138450
$599$	3.22091	+	2.70266i	0.131603	+	0.110428i	0.706213	−	0.707999i	$-0.250402\pi$
$599$	3.22091	+	2.70266i	0.131603	+	0.110428i	−0.574610	+	0.818427i	$0.694846\pi$
$600$	−1.03023	−	1.78440i	−0.0420588	−	0.0728479i
$601$	13.3510	+	4.85937i	0.544599	+	0.198218i	0.599645	−	0.800266i	$-0.295308\pi$
$601$	13.3510	+	4.85937i	0.544599	+	0.198218i	−0.0550464	+	0.998484i	$0.517531\pi$
$602$	17.7365	−	30.7205i	0.722886	−	1.25207i
$603$	−0.259915	−	0.450186i	−0.0105846	−	0.0183330i
$604$	−2.31255	−	13.1151i	−0.0940965	−	0.533648i
$605$	7.41810	−	2.69997i	0.301589	−	0.109769i
$606$	−10.5272	+	18.2336i	−0.427638	+	0.740691i
$607$	12.3014	−	10.3221i	0.499299	−	0.418962i	−0.358046	−	0.933704i	$-0.616557\pi$
$607$	12.3014	−	10.3221i	0.499299	−	0.418962i	0.857345	+	0.514742i	$0.172112\pi$
$608$	0.370085	−	0.310538i	0.0150089	−	0.0125940i
$609$	44.9228	+	16.3506i	1.82036	+	0.662558i
$610$	−1.71162	+	9.70706i	−0.0693013	+	0.393027i
$611$	−9.37814	+	53.1861i	−0.379399	+	2.15168i
$612$	−3.37551	−	1.22858i	−0.136447	−	0.0496626i
$613$	16.3175	−	13.6920i	0.659059	−	0.553016i	−0.250745	−	0.968053i	$-0.580676\pi$
$613$	16.3175	−	13.6920i	0.659059	−	0.553016i	0.909805	+	0.415037i	$0.136231\pi$
$614$	−9.11237	+	7.64619i	−0.367745	+	0.308575i
$615$	4.89486	−	8.47815i	0.197380	−	0.341872i
$616$	−20.2602	+	7.37412i	−0.816308	+	0.297112i
$617$	2.94515	+	16.7028i	0.118567	+	0.672427i	0.984922	+	0.172999i	$0.0553456\pi$
$617$	2.94515	+	16.7028i	0.118567	+	0.672427i	−0.866355	+	0.499429i	$0.833543\pi$
$618$	−3.74666	−	6.48940i	−0.150713	−	0.261042i
$619$	5.06968	−	8.78095i	0.203768	−	0.352936i	−0.745972	−	0.665978i	$-0.768015\pi$
$619$	5.06968	−	8.78095i	0.203768	−	0.352936i	0.949739	+	0.313042i	$0.101348\pi$
$620$	9.41052	+	3.42515i	0.377936	+	0.137557i
$621$	−1.03083	−	1.78545i	−0.0413659	−	0.0716478i
$622$	11.0191	+	9.24615i	0.441827	+	0.370737i
$623$	53.6575			2.14974
$624$	−9.37060	−	7.86287i	−0.375124	−	0.314767i
$625$	−0.939693	+	0.342020i	−0.0375877	+	0.0136808i
$626$	−3.51678	+	19.9447i	−0.140559	+	0.797149i
$627$	0.751353	+	4.26113i	0.0300061	+	0.170173i
$628$	4.48523			0.178980
$629$	12.2819	+	12.5277i	0.489711	+	0.499511i
$630$	−6.17765			−0.246123
$631$	−1.76827	−	10.0284i	−0.0703938	−	0.399223i	−0.999563	−	0.0295678i	$-0.990587\pi$
$631$	−1.76827	−	10.0284i	−0.0703938	−	0.399223i	0.929169	−	0.369655i	$-0.120524\pi$
$632$	0.678703	−	3.84911i	0.0269973	−	0.153110i
$633$	−4.96528	+	1.80721i	−0.197352	+	0.0718303i
$634$	1.34849	+	1.13152i	0.0535554	+	0.0449383i
$635$	−15.0853			−0.598641
$636$	1.68611	+	1.41481i	0.0668586	+	0.0561010i
$637$	52.2528	+	90.5045i	2.07033	+	3.58592i
$638$	19.1062	+	6.95408i	0.756421	+	0.275315i
$639$	6.13195	−	10.6208i	0.242576	−	0.420154i
$640$	0.500000	+	0.866025i	0.0197642	+	0.0342327i
$641$	−2.99917	−	17.0091i	−0.118460	−	0.671820i	−0.984979	−	0.172676i	$-0.944759\pi$
$641$	−2.99917	−	17.0091i	−0.118460	−	0.671820i	0.866519	−	0.499145i	$-0.166352\pi$
$642$	−13.5370	+	4.92707i	−0.534263	+	0.194456i
$643$	−22.3081	+	38.6388i	−0.879747	+	1.52377i	−0.0281290	+	0.999604i	$0.508955\pi$
$643$	−22.3081	+	38.6388i	−0.879747	+	1.52377i	−0.851618	+	0.524163i	$0.824378\pi$
$644$	−2.16691	+	1.81825i	−0.0853881	+	0.0716491i
$645$	11.2881	−	9.47181i	0.444467	−	0.372952i
$646$	−1.30936	−	0.476567i	−0.0515160	−	0.0187503i
$647$	−4.20372	+	23.8405i	−0.165265	+	0.937266i	0.783525	+	0.621360i	$0.213420\pi$
$647$	−4.20372	+	23.8405i	−0.165265	+	0.937266i	−0.948790	+	0.315906i	$0.897692\pi$
$648$	−1.94229	+	11.0153i	−0.0763004	+	0.432721i
$649$	1.98119	+	0.721094i	0.0777685	+	0.0283054i
$650$	−4.54784	+	3.81609i	−0.178381	+	0.149679i
$651$	78.4041	−	65.7888i	3.07290	−	2.57847i
$652$	0.527584	−	0.913802i	0.0206618	−	0.0357873i
$653$	17.2969	−	6.29554i	0.676878	−	0.246363i	0.0193716	−	0.999812i	$-0.493833\pi$
$653$	17.2969	−	6.29554i	0.676878	−	0.246363i	0.657507	+	0.753449i	$0.271611\pi$
$654$	−2.86060	−	16.2233i	−0.111858	−	0.634380i
$655$	−9.77746	−	16.9351i	−0.382037	−	0.661707i
$656$	−2.37563	+	4.11470i	−0.0927526	+	0.160652i
$657$	15.2421	+	5.54766i	0.594650	+	0.216435i
$658$	−22.5611	−	39.0769i	−0.879522	−	1.52338i
$659$	−6.01504	−	5.04721i	−0.234313	−	0.196612i	0.518070	−	0.855338i	$-0.326651\pi$
$659$	−6.01504	−	5.04721i	−0.234313	−	0.196612i	−0.752382	+	0.658727i	$0.771095\pi$
$660$	−8.95625			−0.348622
$661$	−12.0668	−	10.1252i	−0.469343	−	0.393826i	0.377212	−	0.926127i	$-0.376883\pi$
$661$	−12.0668	−	10.1252i	−0.469343	−	0.393826i	−0.846555	+	0.532301i	$0.821327\pi$
$662$	−8.65877	+	3.15154i	−0.336533	+	0.122488i
$663$	−6.12644	+	34.7448i	−0.237931	+	1.34938i
$664$	−1.51710	−	8.60393i	−0.0588751	−	0.333897i
$665$	−2.39631			−0.0929247
$666$	−4.40657	+	6.16240i	−0.170751	+	0.238788i
$667$	2.66757			0.103289
$668$	−1.67499	−	9.49932i	−0.0648072	−	0.367540i
$669$	0.0311258	−	0.176523i	0.00120339	−	0.00682479i
$670$	0.392210	−	0.142753i	0.0151524	−	0.00551501i
$671$	32.8212	+	27.5402i	1.26705	+	1.06318i
$672$	10.2201			0.394250
$673$	−5.54267	−	4.65085i	−0.213654	−	0.179277i	0.529680	−	0.848198i	$-0.322312\pi$
$673$	−5.54267	−	4.65085i	−0.213654	−	0.179277i	−0.743334	+	0.668921i	$0.766757\pi$
$674$	0.989066	+	1.71311i	0.0380974	+	0.0659867i
$675$	3.39713	+	1.23645i	0.130756	+	0.0475911i
$676$	−11.1227	+	19.2651i	−0.427797	+	0.740966i
$677$	−15.6127	−	27.0420i	−0.600046	−	1.03931i	−0.992813	−	0.119672i	$-0.961816\pi$
$677$	−15.6127	−	27.0420i	−0.600046	−	1.03931i	0.392768	−	0.919638i	$-0.371518\pi$
$678$	−1.13570	−	6.44086i	−0.0436162	−	0.247360i
$679$	−54.6043	+	19.8743i	−2.09552	+	0.762707i
$680$	1.44210	−	2.49779i	0.0553019	−	0.0957857i
$681$	−4.92976	+	4.13656i	−0.188909	+	0.158513i
$682$	33.3462	−	27.9807i	1.27689	−	1.07144i
$683$	−37.2667	−	13.5640i	−1.42597	−	0.519010i	−0.490196	−	0.871612i	$-0.663075\pi$
$683$	−37.2667	−	13.5640i	−1.42597	−	0.519010i	−0.935773	+	0.352602i	$0.885297\pi$
$684$	0.104483	−	0.592554i	0.00399502	−	0.0226569i
$685$	−2.79799	+	15.8682i	−0.106906	+	0.606292i
$686$	−49.4210	−	17.9878i	−1.88690	−	0.686777i
$687$	−27.3772	+	22.9722i	−1.04451	+	0.876445i
$688$	−5.47845	+	4.59696i	−0.208864	+	0.175258i
$689$	3.17096	−	5.49227i	0.120804	−	0.209239i
$690$	−1.10418	+	0.401889i	−0.0420354	+	0.0152996i
$691$	1.61787	+	9.17540i	0.0615467	+	0.349048i	0.999993	+	0.00362459i	$0.00115374\pi$
$691$	1.61787	+	9.17540i	0.0615467	+	0.349048i	−0.938447	+	0.345424i	$0.887735\pi$
$692$	−3.26449	−	5.65427i	−0.124097	−	0.214943i
$693$	−13.4263	+	23.2551i	−0.510024	+	0.883388i
$694$	18.2612	+	6.64654i	0.693186	+	0.252299i
$695$	2.45943	+	4.25986i	0.0932915	+	0.161586i
$696$	−7.38313	−	6.19518i	−0.279857	−	0.234828i
$697$	13.7035			0.519058
$698$	−23.1442	−	19.4203i	−0.876022	−	0.735069i
$699$	44.4230	−	16.1686i	1.68023	−	0.611554i
$700$	0.861321	−	4.88479i	0.0325549	−	0.184628i
$701$	−4.68370	−	26.5626i	−0.176901	−	1.00326i	−0.935927	−	0.352195i	$-0.885435\pi$
$701$	−4.68370	−	26.5626i	−0.176901	−	1.00326i	0.759026	−	0.651061i	$-0.225676\pi$
$702$	21.4624			0.810045
$703$	−1.70931	+	2.39039i	−0.0644677	+	0.0901552i
$704$	4.34674			0.163824
$705$	−3.25483	−	18.4590i	−0.122584	−	0.695207i
$706$	4.99783	−	28.3441i	0.188096	−	1.06674i
$707$	−47.6279	+	17.3351i	−1.79123	+	0.651954i
$708$	−0.765583	−	0.642401i	−0.0287724	−	0.0241429i
$709$	8.82573			0.331457			0.165729	−	0.986171i	$-0.447002\pi$
$709$	8.82573			0.331457			0.165729	+	0.986171i	$0.447002\pi$
$710$	7.54317	+	6.32947i	0.283090	+	0.237541i
$711$	−2.43393	−	4.21569i	−0.0912795	−	0.158101i
$712$	−10.1653	−	3.69988i	−0.380962	−	0.138659i
$713$	2.85555	−	4.94596i	0.106941	−	0.185228i
$714$	−14.7384	−	25.5277i	−0.551572	−	0.955351i
$715$	4.48111	+	25.4136i	0.167584	+	0.950416i
$716$	−18.3907	+	6.69366i	−0.687292	+	0.250154i
$717$	11.7211	−	20.3016i	0.437733	−	0.758176i
$718$	−13.9332	+	11.6913i	−0.519983	+	0.436317i
$719$	−25.1100	+	21.0698i	−0.936445	+	0.785771i	−0.976963	−	0.213408i	$-0.931544\pi$
$719$	−25.1100	+	21.0698i	−0.936445	+	0.785771i	0.0405178	+	0.999179i	$0.487099\pi$
$720$	1.17035	+	0.425971i	0.0436162	+	0.0158750i
$721$	3.13240	−	17.7647i	0.116656	−	0.661592i
$722$	−3.25879	+	18.4815i	−0.121279	+	0.687810i
$723$	49.4297	+	17.9909i	1.83831	+	0.669090i
$724$	−3.97977	+	3.33942i	−0.147907	+	0.124109i
$725$	−3.58326	+	3.00671i	−0.133079	+	0.111666i
$726$	−8.13278	+	14.0864i	−0.301836	+	0.522795i
$727$	−38.0186	+	13.8376i	−1.41003	+	0.513210i	−0.931140	−	0.364663i	$-0.881184\pi$
$727$	−38.0186	+	13.8376i	−1.41003	+	0.513210i	−0.478893	+	0.877873i	$0.658962\pi$
$728$	−5.11348	−	29.0000i	−0.189518	−	1.07481i
$729$	−4.20791	−	7.28831i	−0.155848	−	0.269937i
$730$	−6.51178	+	11.2787i	−0.241012	+	0.417444i
$731$	19.3827	+	7.05472i	0.716894	+	0.260928i
$732$	−10.1547	−	17.5885i	−0.375330	−	0.650090i
$733$	21.4493	+	17.9981i	0.792249	+	0.664776i	0.946301	−	0.323287i	$-0.104788\pi$
$733$	21.4493	+	17.9981i	0.792249	+	0.664776i	−0.154052	+	0.988063i	$0.549232\pi$
$734$	−0.0807137			−0.00297920
$735$	−27.7846	−	23.3141i	−1.02485	−	0.859952i
$736$	0.535892	−	0.195049i	0.0197533	−	0.00718960i
$737$	0.315041	−	1.78668i	0.0116047	−	0.0658134i
$738$	1.02756	+	5.82758i	0.0378250	+	0.214516i
$739$	−23.8776			−0.878351			−0.439175	−	0.898401i	$-0.644729\pi$
$739$	−23.8776			−0.878351			−0.439175	+	0.898401i	$0.644729\pi$
$740$	−4.25834	−	4.34356i	−0.156540	−	0.159672i
$741$	−5.90964			−0.217096
$742$	0.920099	+	5.21814i	0.0337779	+	0.191564i
$743$	6.70018	−	37.9986i	0.245806	−	1.39403i	−0.572809	−	0.819689i	$-0.694146\pi$
$743$	6.70018	−	37.9986i	0.245806	−	1.39403i	0.818614	−	0.574344i	$-0.194743\pi$
$744$	−19.3899	+	7.05735i	−0.710869	+	0.258735i
$745$	6.91447	+	5.80193i	0.253327	+	0.212566i
$746$	−3.73240			−0.136653
$747$	−8.33543	−	6.99426i	−0.304977	−	0.255906i
$748$	−6.26843	−	10.8572i	−0.229196	−	0.396980i
$749$	−32.5878	−	11.8610i	−1.19073	−	0.433391i
$750$	1.03023	−	1.78440i	0.0376185	−	0.0651572i
$751$	−12.4851	−	21.6248i	−0.455587	−	0.789100i	0.543135	−	0.839646i	$-0.317237\pi$
$751$	−12.4851	−	21.6248i	−0.455587	−	0.789100i	−0.998722	+	0.0505458i	$0.983904\pi$
$752$	1.57967	+	8.95874i	0.0576045	+	0.326691i
$753$	−38.3527	+	13.9592i	−1.39765	+	0.508703i
$754$	−13.8850	+	24.0495i	−0.505661	+	0.875831i
$755$	10.2018	−	8.56030i	0.371280	−	0.311541i
$756$	−13.7365	+	11.5263i	−0.499590	+	0.419206i
$757$	33.8304	+	12.3133i	1.22959	+	0.447533i	0.873456	−	0.486903i	$-0.161873\pi$
$757$	33.8304	+	12.3133i	1.22959	+	0.447533i	0.356131	+	0.934436i	$0.384096\pi$
$758$	−5.67379	+	32.1777i	−0.206081	+	1.16875i
$759$	−0.886928	+	5.03002i	−0.0321934	+	0.182578i
$760$	0.453977	+	0.165234i	0.0164675	+	0.00599367i
$761$	16.8950	−	14.1766i	0.612444	−	0.513901i	−0.282974	−	0.959127i	$-0.591321\pi$
$761$	16.8950	−	14.1766i	0.612444	−	0.513901i	0.895418	+	0.445226i	$0.146877\pi$
$762$	23.8105	−	19.9794i	0.862565	−	0.723778i
$763$	19.8285	−	34.3439i	0.717839	−	1.24333i
$764$	−4.42546	+	1.61074i	−0.160108	+	0.0582744i
$765$	−0.623769	−	3.53757i	−0.0225524	−	0.127901i
$766$	3.59024	+	6.21848i	0.129721	+	0.224683i
$767$	−1.43979	+	2.49378i	−0.0519876	+	0.0900452i
$768$	−1.93619	−	0.704716i	−0.0698662	−	0.0254292i
$769$	−6.47558	−	11.2160i	−0.233515	−	0.404461i	0.725325	−	0.688407i	$-0.241690\pi$
$769$	−6.47558	−	11.2160i	−0.233515	−	0.404461i	−0.958840	+	0.283946i	$0.908356\pi$
$770$	−16.5163	−	13.8588i	−0.595206	−	0.499437i
$771$	−44.2580			−1.59391
$772$	15.5735	+	13.0677i	0.560501	+	0.470316i
$773$	1.14342	−	0.416169i	0.0411258	−	0.0149686i	−0.321375	−	0.946952i	$-0.604145\pi$
$773$	1.14342	−	0.416169i	0.0411258	−	0.0149686i	0.362501	+	0.931983i	$0.381923\pi$
$774$	−1.54669	+	8.77170i	−0.0555945	+	0.315292i
$775$	1.73899	+	9.86232i	0.0624665	+	0.354265i
$776$	11.7151			0.420548
$777$	−60.2048	+	15.4943i	−2.15984	+	0.555855i
$778$	2.35438			0.0844087
$779$	0.398589	+	2.26051i	0.0142810	+	0.0809913i
$780$	2.12414	−	12.0466i	0.0760565	−	0.431338i
$781$	40.2207	−	14.6391i	1.43921	−	0.523830i
$782$	−1.26000	−	1.05727i	−0.0450575	−	0.0378077i
$783$	16.9103			0.604323
$784$	13.4847	+	11.3150i	0.481597	+	0.404108i
$785$	2.24261	+	3.88432i	0.0800423	+	0.138637i
$786$	37.8620	+	13.7807i	1.35049	+	0.491540i
$787$	15.3028	−	26.5053i	0.545487	−	0.944811i	−0.453089	−	0.891465i	$-0.649678\pi$
$787$	15.3028	−	26.5053i	0.545487	−	0.944811i	0.998576	−	0.0533457i	$-0.0169885\pi$
$788$	3.22066	+	5.57835i	0.114731	+	0.198720i
$789$	9.33402	+	52.9358i	0.332300	+	1.88457i
$790$	3.67278	−	1.33678i	0.130672	−	0.0475606i
$791$	7.87218	−	13.6350i	0.279902	−	0.484805i
$792$	4.14712	−	3.47985i	0.147362	−	0.123651i
$793$	−44.8272	+	37.6145i	−1.59186	+	1.33573i
$794$	−2.86946	−	1.04440i	−0.101833	−	0.0370643i
$795$	−0.382210	+	2.16762i	−0.0135556	+	0.0768776i
$796$	−1.59998	+	9.07395i	−0.0567099	+	0.321618i
$797$	−18.1550	−	6.60787i	−0.643082	−	0.234063i	−0.000166600	−	1.00000i	$-0.500053\pi$
$797$	−18.1550	−	6.60787i	−0.643082	−	0.234063i	−0.642915	+	0.765937i	$0.722275\pi$
$798$	3.78232	−	3.17374i	0.133893	−	0.112349i
$799$	20.0990	−	16.8650i	0.711051	−	0.596642i
$800$	−0.500000	+	0.866025i	−0.0176777	+	0.0306186i
$801$	−12.6605	+	4.60804i	−0.447336	+	0.162817i
$802$	3.67017	+	20.8146i	0.129598	+	0.734988i
$803$	28.3050	+	49.0257i	0.998862	+	1.73008i
$804$	−0.429996	+	0.744775i	−0.0151648	+	0.0262662i
$805$	−2.65811	−	0.967471i	−0.0936859	−	0.0340989i
$806$	29.7269	+	51.4885i	1.04708	+	1.81360i
$807$	32.1562	+	26.9822i	1.13195	+	0.949820i
$808$	10.2183			0.359480
$809$	11.2819	+	9.46661i	0.396649	+	0.332828i	0.819197	−	0.573512i	$-0.194420\pi$
$809$	11.2819	+	9.46661i	0.396649	+	0.332828i	−0.422547	+	0.906341i	$0.638864\pi$
$810$	−10.5107	+	3.82557i	−0.369307	+	0.134417i
$811$	4.42461	−	25.0932i	0.155369	−	0.881142i	−0.803079	−	0.595873i	$-0.796806\pi$
$811$	4.42461	−	25.0932i	0.155369	−	0.881142i	0.958448	−	0.285269i	$-0.0920828\pi$
$812$	−4.02892	−	22.8492i	−0.141387	−	0.801848i
$813$	−33.1142			−1.16137
$814$	−25.6058	+	6.58990i	−0.897483	+	0.230976i
$815$	1.05517			0.0369609
$816$	1.03195	+	5.85246i	0.0361253	+	0.204877i
$817$	−0.599958	+	3.40253i	−0.0209899	+	0.119040i
$818$	−0.943204	+	0.343298i	−0.0329784	+	0.0120031i
$819$	−28.0950	−	23.5745i	−0.981718	−	0.823759i
$820$	−4.75125			−0.165921
$821$	−4.05674	−	3.40401i	−0.141581	−	0.118801i	0.569246	−	0.822167i	$-0.307235\pi$
$821$	−4.05674	−	3.40401i	−0.141581	−	0.118801i	−0.710828	+	0.703366i	$0.751679\pi$
$822$	−16.6000	−	28.7520i	−0.578991	−	1.00284i
$823$	−27.6010	−	10.0459i	−0.962109	−	0.350179i	−0.187250	−	0.982312i	$-0.559957\pi$
$823$	−27.6010	−	10.0459i	−0.962109	−	0.350179i	−0.774860	+	0.632133i	$0.782180\pi$
$824$	−1.81837	+	3.14951i	−0.0633458	+	0.109718i
$825$	−4.47812	−	7.75634i	−0.155908	−	0.270041i
$826$	−0.417774	−	2.36931i	−0.0145362	−	0.0824389i
$827$	−7.17342	+	2.61091i	−0.249444	+	0.0907903i	−0.463716	−	0.885984i	$-0.653484\pi$
$827$	−7.17342	+	2.61091i	−0.249444	+	0.0907903i	0.214272	+	0.976774i	$0.431262\pi$
$828$	0.355133	−	0.615108i	0.0123417	−	0.0213765i
$829$	−31.2393	+	26.2129i	−1.08499	+	0.910411i	−0.996325	−	0.0856514i	$-0.972703\pi$
$829$	−31.2393	+	26.2129i	−1.08499	+	0.910411i	−0.0886599	+	0.996062i	$0.528258\pi$
$830$	6.69267	−	5.61581i	0.232306	−	0.194928i
$831$	−14.7582	−	5.37156i	−0.511958	−	0.186337i
$832$	−1.03091	+	5.84659i	−0.0357404	+	0.202694i
$833$	8.81623	−	49.9993i	0.305464	−	1.73237i
$834$	−9.52385	−	3.46640i	−0.329784	−	0.120032i
$835$	7.38916	−	6.20024i	0.255712	−	0.214568i
$836$	1.60866	−	1.34983i	0.0556368	−	0.0466848i
$837$	18.1019	−	31.3534i	0.625693	−	1.08373i
$838$	26.9056	−	9.79284i	0.929439	−	0.338288i
$839$	2.63036	+	14.9175i	0.0908100	+	0.515009i	0.995951	+	0.0898977i	$0.0286540\pi$
$839$	2.63036	+	14.9175i	0.0908100	+	0.515009i	−0.905141	+	0.425112i	$0.860235\pi$
$840$	5.11007	+	8.85090i	0.176314	+	0.305385i
$841$	3.55998	−	6.16606i	0.122758	−	0.212623i
$842$	−5.07242	−	1.84621i	−0.174807	−	0.0636246i
$843$	6.65492	+	11.5267i	0.229208	+	0.396999i
$844$	1.96449	+	1.64840i	0.0676205	+	0.0567403i
$845$	−22.2454			−0.765266
$846$	8.67917	+	7.28268i	0.298396	+	0.250384i
$847$	−36.7949	+	13.3922i	−1.26429	+	0.460163i
$848$	0.185498	−	1.05201i	0.00637004	−	0.0361263i
$849$	3.38789	+	19.2137i	0.116272	+	0.659411i
$850$	2.88420			0.0989271
$851$	−2.86113	+	1.96144i	−0.0980784	+	0.0672372i
$852$	−20.2891			−0.695092
$853$	3.49680	+	19.8313i	0.119728	+	0.679012i	0.984300	+	0.176503i	$0.0564786\pi$
$853$	3.49680	+	19.8313i	0.119728	+	0.679012i	−0.864572	+	0.502509i	$0.832410\pi$
$854$	8.48987	−	48.1484i	0.290517	−	1.64761i
$855$	0.565408	−	0.205792i	0.0193366	−	0.00703793i
$856$	5.35585	+	4.49409i	0.183059	+	0.153605i
$857$	−35.9420			−1.22775			−0.613877	−	0.789402i	$-0.710391\pi$
$857$	−35.9420			−1.22775			−0.613877	+	0.789402i	$0.710391\pi$
$858$	−40.7316	−	34.1779i	−1.39055	−	1.16681i
$859$	−21.7729	−	37.7118i	−0.742883	−	1.28671i	−0.951177	−	0.308645i	$-0.900124\pi$
$859$	−21.7729	−	37.7118i	−0.742883	−	1.28671i	0.208294	−	0.978066i	$-0.433209\pi$
$860$	−6.72031	−	2.44599i	−0.229161	−	0.0834076i
$861$	−24.2792	+	42.0529i	−0.827434	+	1.43316i
$862$	19.3193	+	33.4620i	0.658017	+	1.13972i
$863$	−6.41422	−	36.3769i	−0.218343	−	1.23828i	−0.875011	−	0.484104i	$-0.839146\pi$
$863$	−6.41422	−	36.3769i	−0.218343	−	1.23828i	0.656668	−	0.754180i	$-0.271965\pi$
$864$	3.39713	−	1.23645i	0.115573	−	0.0420650i
$865$	3.26449	−	5.65427i	0.110996	−	0.192251i
$866$	16.0838	−	13.4959i	0.546549	−	0.458609i
$867$	−13.7027	+	11.4979i	−0.465369	+	0.390491i
$868$	−46.6776	−	16.9892i	−1.58434	−	0.576652i
$869$	2.95015	−	16.7311i	0.100077	−	0.567564i
$870$	1.67362	−	9.49156i	0.0567410	−	0.321794i
$871$	2.32846	+	0.847492i	0.0788970	+	0.0287162i
$872$	−6.12462	+	5.13916i	−0.207406	+	0.174034i
$873$	11.1771	−	9.37869i	0.378287	−	0.317421i
$874$	0.137756	−	0.238600i	0.00465965	−	0.00807076i
$875$	4.66101	−	1.69647i	0.157571	−	0.0573512i
$876$	−4.65974	−	26.4267i	−0.157438	−	0.892876i
$877$	19.0687	+	33.0280i	0.643904	+	1.11527i	0.984553	+	0.175084i	$0.0560198\pi$
$877$	19.0687	+	33.0280i	0.643904	+	1.11527i	−0.340649	+	0.940190i	$0.610647\pi$
$878$	7.47598	−	12.9488i	0.252302	−	0.437000i
$879$	8.99007	+	3.27212i	0.303227	+	0.110366i
$880$	2.17337	+	3.76439i	0.0732643	+	0.126898i
$881$	37.4896	+	31.4575i	1.26306	+	1.05983i	0.995349	+	0.0963310i	$0.0307107\pi$
$881$	37.4896	+	31.4575i	1.26306	+	1.05983i	0.267708	+	0.963500i	$0.413734\pi$
$882$	21.9239			0.738215
$883$	−36.1388	−	30.3240i	−1.21617	−	1.02048i	−0.999016	−	0.0443464i	$-0.985879\pi$
$883$	−36.1388	−	30.3240i	−1.21617	−	1.02048i	−0.217150	−	0.976138i	$-0.569676\pi$
$884$	16.0902	−	5.85636i	0.541173	−	0.196971i
$885$	0.173544	−	0.984215i	0.00583361	−	0.0330840i
$886$	−1.55686	−	8.82941i	−0.0523039	−	0.296630i
$887$	36.1721			1.21454			0.607271	−	0.794495i	$-0.292264\pi$
$887$	36.1721			1.21454			0.607271	+	0.794495i	$0.292264\pi$
$888$	12.4741	+	1.21597i	0.418604	+	0.0408053i
$889$	74.8252			2.50956
$890$	−1.87848	−	10.6534i	−0.0629667	−	0.357102i
$891$	−8.44264	+	47.8806i	−0.282839	+	1.60406i
$892$	−0.0817475	+	0.0297537i	−0.00273711	+	0.000996226i
$893$	3.36664	+	2.82495i	0.112660	+	0.0945333i
$894$	−18.5980			−0.622011
$895$	−14.9922	−	12.5800i	−0.501135	−	0.420502i
$896$	−2.48007	−	4.29561i	−0.0828534	−	0.143506i
$897$	−6.55528	−	2.38593i	−0.218874	−	0.0796638i
$898$	−9.46326	+	16.3909i	−0.315793	+	0.546970i
$899$	23.4219	+	40.5679i	0.781164	+	1.35302i
$900$	0.216271	+	1.22654i	0.00720904	+	0.0408845i
$901$	−2.89521	+	1.05377i	−0.0964535	+	0.0351062i
$902$	−10.3262	+	17.8856i	−0.343826	+	0.595524i
$903$	−55.9905	+	46.9816i	−1.86325	+	1.56345i
$904$	−2.43156	+	2.04032i	−0.0808723	+	0.0678600i
$905$	−4.88191	−	1.77687i	−0.162280	−	0.0590651i
$906$	−4.76490	+	27.0231i	−0.158303	+	0.897782i
$907$	2.93894	−	16.6676i	0.0975860	−	0.553438i	−0.896338	−	0.443371i	$-0.853782\pi$
$907$	2.93894	−	16.6676i	0.0975860	−	0.553438i	0.993924	−	0.110067i	$-0.0351065\pi$
$908$	2.93491	+	1.06822i	0.0973986	+	0.0354502i
$909$	9.74908	−	8.18045i	0.323356	−	0.271328i
$910$	22.5580	−	18.9284i	0.747789	−	0.627470i
$911$	−7.42627	+	12.8627i	−0.246043	+	0.426160i	−0.962424	−	0.271550i	$-0.912464\pi$
$911$	−7.42627	+	12.8627i	−0.246043	+	0.426160i	0.716381	+	0.697709i	$0.245797\pi$
$912$	−0.935396	+	0.340456i	−0.0309741	+	0.0112736i
$913$	−6.59446	−	37.3991i	−0.218245	−	1.23773i
$914$	5.06458	+	8.77210i	0.167521	+	0.290155i
$915$	10.1547	−	17.5885i	0.335705	−	0.581458i
$916$	16.2989	+	5.93232i	0.538532	+	0.196010i
$917$	48.4976	+	84.0003i	1.60153	+	2.77394i
$918$	−7.98739	−	6.70222i	−0.263623	−	0.221206i
$919$	11.6928			0.385710			0.192855	−	0.981227i	$-0.438225\pi$
$919$	11.6928			0.385710			0.192855	+	0.981227i	$0.438225\pi$
$920$	0.436864	+	0.366572i	0.0144030	+	0.0120855i
$921$	23.0317	−	8.38285i	0.758920	−	0.276224i
$922$	−0.766321	+	4.34602i	−0.0252375	+	0.143129i
$923$	10.1513	+	57.5709i	0.334134	+	1.89497i
$924$	44.4243			1.46145
$925$	1.63246	−	5.85961i	0.0536750	−	0.192663i
$926$	28.7423			0.944532
$927$	0.786522	+	4.46059i	0.0258328	+	0.146505i
$928$	−0.812259	+	4.60655i	−0.0266637	+	0.151217i
$929$	13.8093	−	5.02618i	0.453069	−	0.164904i	−0.105399	−	0.994430i	$-0.533612\pi$
$929$	13.8093	−	5.02618i	0.453069	−	0.164904i	0.558467	+	0.829526i	$0.311390\pi$
$930$	−15.8068	−	13.2635i	−0.518325	−	0.434927i
$931$	8.50425			0.278715
$932$	−17.5757	−	14.7478i	−0.575713	−	0.483080i
$933$	−14.8192	−	25.6677i	−0.485160	−	0.840321i
$934$	18.1230	+	6.59622i	0.593001	+	0.215835i
$935$	6.26843	−	10.8572i	0.205000	−	0.355070i
$936$	3.69701	+	6.40340i	0.120840	+	0.209302i
$937$	−1.18235	−	6.70542i	−0.0386256	−	0.219057i	0.959385	−	0.282099i	$-0.0910307\pi$
$937$	−1.18235	−	6.70542i	−0.0386256	−	0.219057i	−0.998011	+	0.0630426i	$0.979920\pi$
$938$	−1.94542	+	0.708074i	−0.0635201	+	0.0231194i
$939$	20.8645	−	36.1383i	0.680886	−	1.17933i
$940$	−6.96866	+	5.84740i	−0.227293	+	0.190721i
$941$	44.2120	−	37.0983i	1.44127	−	1.20937i	0.502616	−	0.864510i	$-0.332371\pi$
$941$	44.2120	−	37.0983i	1.44127	−	1.20937i	0.938654	−	0.344860i	$-0.112074\pi$
$942$	−8.68425	−	3.16081i	−0.282948	−	0.102985i
$943$	−0.470511	+	2.66840i	−0.0153220	+	0.0868951i
$944$	−0.0842261	+	0.477670i	−0.00274132	+	0.0155468i
$945$	−16.8503	−	6.13299i	−0.548139	−	0.199506i
$946$	−23.8134	+	19.9818i	−0.774240	+	0.649665i
$947$	18.8270	−	15.7977i	0.611794	−	0.513356i	−0.283418	−	0.958997i	$-0.591468\pi$
$947$	18.8270	−	15.7977i	0.611794	−	0.513356i	0.895212	+	0.445640i	$0.147024\pi$
$948$	−4.02663	+	6.97432i	−0.130779	+	0.226516i
$949$	−72.6552	+	26.4443i	−2.35849	+	0.858419i
$950$	0.0838915	+	0.475772i	0.00272180	+	0.0154361i
$951$	−1.81354	−	3.14114i	−0.0588080	−	0.101858i
$952$	−7.15302	+	12.3894i	−0.231831	+	0.401542i
$953$	−32.8207	−	11.9458i	−1.06317	−	0.386961i	−0.249550	−	0.968362i	$-0.580283\pi$
$953$	−32.8207	−	11.9458i	−1.06317	−	0.386961i	−0.813618	+	0.581400i	$0.802505\pi$
$954$	−0.665225	−	1.15220i	−0.0215375	−	0.0373040i
$955$	−3.60767	−	3.02720i	−0.116742	−	0.0979578i
$956$	−11.3772			−0.367966
$957$	−32.0926	−	26.9288i	−1.03740	−	0.870486i
$958$	−0.0453348	+	0.0165005i	−0.00146470	+	0.000533108i
$959$	13.8784	−	78.7085i	0.448158	−	2.54163i
$960$	−0.357794	−	2.02915i	−0.0115477	−	0.0654905i
$961$	69.2895			2.23515
$962$	−2.79085	−	36.0041i	−0.0899808	−	1.16082i
$963$	8.70770			0.280602
$964$	−4.43313	−	25.1415i	−0.142781	−	0.809754i
$965$	−3.53021	+	20.0208i	−0.113642	+	0.644494i
$966$	5.47690	−	1.99343i	0.176216	−	0.0641375i
$967$	−11.6917	−	9.81052i	−0.375981	−	0.315485i	0.435141	−	0.900362i	$-0.356698\pi$
$967$	−11.6917	−	9.81052i	−0.375981	−	0.315485i	−0.811122	+	0.584877i	$0.801143\pi$
$968$	7.89418			0.253728
$969$	2.19932	+	1.84545i	0.0706523	+	0.0592844i
$970$	5.85755	+	10.1456i	0.188075	+	0.325755i
$971$	9.31129	+	3.38903i	0.298813	+	0.108759i	0.487076	−	0.873359i	$-0.338063\pi$
$971$	9.31129	+	3.38903i	0.298813	+	0.108759i	−0.188263	+	0.982119i	$0.560286\pi$
$972$	6.10056	−	10.5665i	0.195676	−	0.338920i
$973$	−12.1991	−	21.1295i	−0.391086	−	0.677381i
$974$	6.66081	+	37.7754i	0.213426	+	1.21040i
$975$	11.4947	−	4.18375i	0.368127	−	0.133987i
$976$	−4.92840	+	8.53624i	−0.157754	+	0.273238i
$977$	−1.16619	+	0.978551i	−0.0373098	+	0.0313066i	−0.661252	−	0.750164i	$-0.729975\pi$
$977$	−1.16619	+	0.978551i	−0.0373098	+	0.0313066i	0.623942	+	0.781471i	$0.285530\pi$
$978$	−1.66547	+	1.39750i	−0.0532560	+	0.0446871i
$979$	−44.1861	−	16.0824i	−1.41219	−	0.513996i
$980$	−3.05674	+	17.3356i	−0.0976440	+	0.553766i
$981$	−1.72912	+	9.80630i	−0.0552064	+	0.313091i
$982$	−26.6147	−	9.68696i	−0.849309	−	0.309123i
$983$	−31.3002	+	26.2640i	−0.998323	+	0.837692i	−0.986751	−	0.162241i	$-0.948128\pi$
$983$	−31.3002	+	26.2640i	−0.998323	+	0.837692i	−0.0115717	+	0.999933i	$0.503683\pi$
$984$	7.49936	−	6.29271i	0.239071	−	0.200604i
$985$	−3.22066	+	5.57835i	−0.102619	+	0.177741i
$986$	12.6775	−	4.61424i	0.403735	−	0.146947i
$987$	16.1444	+	91.5595i	0.513882	+	2.91437i
$988$	1.43407	+	2.48387i	0.0456237	+	0.0790226i
$989$	−2.03923	+	3.53204i	−0.0648436	+	0.112312i
$990$	5.08720	+	1.85159i	0.161682	+	0.0588473i
$991$	−10.6636	−	18.4699i	−0.338740	−	0.586715i	0.645456	−	0.763798i	$-0.276667\pi$
$991$	−10.6636	−	18.4699i	−0.338740	−	0.586715i	−0.984196	+	0.177082i	$0.943334\pi$
$992$	7.67153	+	6.43717i	0.243571	+	0.204380i
$993$	18.9860			0.602502
$994$	−37.4152	−	31.3951i	−1.18674	−	0.995792i
$995$	−8.65826	+	3.15135i	−0.274485	+	0.0999045i
$996$	−3.12592	+	17.7280i	−0.0990485	+	0.561732i
$997$	−5.79963	−	32.8913i	−0.183676	−	1.04168i	−0.927645	−	0.373464i	$-0.878170\pi$
$997$	−5.79963	−	32.8913i	−0.183676	−	1.04168i	0.743968	−	0.668215i	$-0.232941\pi$
$998$	1.47543			0.0467039
$999$	−18.1373	+	12.4339i	−0.573839	+	0.393393i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.o.d.231.4	yes	24
37.33	even	9	inner	370.2.o.d.181.4	✓	24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.o.d.181.4	✓	24	37.33	even	9	inner
370.2.o.d.231.4	yes	24	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 370 = 2 \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	370.o (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.173648 + 0.984808i) q^{2} +(0.357794 - 2.02915i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(-0.766044 - 0.642788i) q^{5} +2.06045 q^{6} +(3.79969 + 3.18832i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-1.17035 - 0.425971i) q^{9} +O(q^{10})\)	\(q+(0.173648 + 0.984808i) q^{2} +(0.357794 - 2.02915i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(-0.766044 - 0.642788i) q^{5} +2.06045 q^{6} +(3.79969 + 3.18832i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-1.17035 - 0.425971i) q^{9} +(0.500000 - 0.866025i) q^{10} +(-2.17337 - 3.76439i) q^{11} +(0.357794 + 2.02915i) q^{12} +(5.57875 - 2.03050i) q^{13} +(-2.48007 + 4.29561i) q^{14} +(-1.57840 + 1.32443i) q^{15} +(0.766044 - 0.642788i) q^{16} +(-2.71026 - 0.986453i) q^{17} +(0.216271 - 1.22654i) q^{18} +(0.0838915 - 0.475772i) q^{19} +(0.939693 + 0.342020i) q^{20} +(7.82908 - 6.56938i) q^{21} +(3.32980 - 2.79403i) q^{22} +(0.285142 - 0.493881i) q^{23} +(-1.93619 + 0.704716i) q^{24} +(0.173648 + 0.984808i) q^{25} +(2.96839 + 5.14141i) q^{26} +(1.80757 - 3.13081i) q^{27} +(-4.66101 - 1.69647i) q^{28} +(2.33881 + 4.05093i) q^{29} +(-1.57840 - 1.32443i) q^{30} +10.0145 q^{31} +(0.766044 + 0.642788i) q^{32} +(-8.41612 + 3.06322i) q^{33} +(0.500835 - 2.84038i) q^{34} +(-0.861321 - 4.88479i) q^{35} +1.24546 q^{36} +(-5.48712 - 2.62517i) q^{37} +0.483112 q^{38} +(-2.12414 - 12.0466i) q^{39} +(-0.173648 + 0.984808i) q^{40} +(-4.46472 + 1.62502i) q^{41} +(7.82908 + 6.56938i) q^{42} -7.15160 q^{43} +(3.32980 + 2.79403i) q^{44} +(0.622729 + 1.07860i) q^{45} +(0.535892 + 0.195049i) q^{46} +(-4.54847 + 7.87818i) q^{47} +(-1.03023 - 1.78440i) q^{48} +(3.05674 + 17.3356i) q^{49} +(-0.939693 + 0.342020i) q^{50} +(-2.97137 + 5.14657i) q^{51} +(-4.54784 + 3.81609i) q^{52} +(0.818321 - 0.686653i) q^{53} +(3.39713 + 1.23645i) q^{54} +(-0.754804 + 4.28071i) q^{55} +(0.861321 - 4.88479i) q^{56} +(-0.935396 - 0.340456i) q^{57} +(-3.58326 + 3.00671i) q^{58} +(-0.371561 + 0.311777i) q^{59} +(1.03023 - 1.78440i) q^{60} +(-9.26237 + 3.37123i) q^{61} +(1.73899 + 9.86232i) q^{62} +(-3.08883 - 5.35000i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-5.57875 - 2.03050i) q^{65} +(-4.47812 - 7.75634i) q^{66} +(0.319732 + 0.268287i) q^{67} +2.88420 q^{68} +(-0.900136 - 0.755304i) q^{69} +(4.66101 - 1.69647i) q^{70} +(-1.70990 + 9.69731i) q^{71} +(0.216271 + 1.22654i) q^{72} -13.0236 q^{73} +(1.63246 - 5.85961i) q^{74} +2.06045 q^{75} +(0.0838915 + 0.475772i) q^{76} +(3.74394 - 21.2329i) q^{77} +(11.4947 - 4.18375i) q^{78} +(2.99408 + 2.51233i) q^{79} -1.00000 q^{80} +(-8.56837 - 7.18971i) q^{81} +(-2.37563 - 4.11470i) q^{82} +(8.20977 + 2.98811i) q^{83} +(-5.11007 + 8.85090i) q^{84} +(1.44210 + 2.49779i) q^{85} +(-1.24186 - 7.04295i) q^{86} +(9.05674 - 3.29639i) q^{87} +(-2.17337 + 3.76439i) q^{88} +(8.28685 - 6.95350i) q^{89} +(-0.954075 + 0.800564i) q^{90} +(27.6714 + 10.0716i) q^{91} +(-0.0990289 + 0.561621i) q^{92} +(3.58311 - 20.3208i) q^{93} +(-8.54833 - 3.11134i) q^{94} +(-0.370085 + 0.310538i) q^{95} +(1.57840 - 1.32443i) q^{96} +(-5.85755 + 10.1456i) q^{97} +(-16.5415 + 6.02060i) q^{98} +(0.940076 + 5.33144i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q + 6 q^{6} - 9 q^{7} - 12 q^{8} + 12 q^{9}+O(q^{10}) \) 24 * q + 6 * q^6 - 9 * q^7 - 12 * q^8 + 12 * q^9	\( 24 q + 6 q^{6} - 9 q^{7} - 12 q^{8} + 12 q^{9} + 12 q^{10} - 3 q^{11} - 3 q^{14} + 6 q^{17} - 6 q^{18} - 18 q^{19} + 18 q^{21} + 3 q^{22} + 15 q^{23} - 6 q^{26} - 12 q^{27} + 9 q^{28} - 18 q^{29} - 6 q^{31} - 45 q^{33} - 3 q^{34} + 30 q^{36} - 18 q^{37} - 24 q^{38} + 12 q^{39} + 3 q^{41} + 18 q^{42} + 3 q^{44} + 15 q^{45} + 9 q^{46} - 36 q^{47} - 3 q^{48} - 15 q^{49} + 54 q^{51} - 9 q^{52} - 6 q^{53} + 45 q^{54} - 3 q^{55} + 3 q^{57} - 15 q^{58} - 9 q^{59} + 3 q^{60} - 24 q^{61} + 81 q^{62} - 45 q^{63} - 12 q^{64} - 3 q^{66} + 12 q^{67} + 12 q^{68} + 60 q^{69} - 9 q^{70} + 42 q^{71} - 6 q^{72} - 42 q^{73} + 12 q^{74} + 6 q^{75} - 18 q^{76} + 9 q^{77} + 30 q^{78} - 6 q^{79} - 24 q^{80} - 66 q^{81} - 24 q^{82} - 3 q^{83} - 42 q^{84} + 6 q^{85} - 18 q^{86} - 84 q^{87} - 3 q^{88} + 27 q^{89} + 6 q^{90} + 153 q^{91} - 9 q^{92} - 54 q^{93} - 21 q^{94} - 9 q^{95} - 9 q^{97} - 24 q^{98} + 165 q^{99}+O(q^{100}) \) 24 * q + 6 * q^6 - 9 * q^7 - 12 * q^8 + 12 * q^9 + 12 * q^10 - 3 * q^11 - 3 * q^14 + 6 * q^17 - 6 * q^18 - 18 * q^19 + 18 * q^21 + 3 * q^22 + 15 * q^23 - 6 * q^26 - 12 * q^27 + 9 * q^28 - 18 * q^29 - 6 * q^31 - 45 * q^33 - 3 * q^34 + 30 * q^36 - 18 * q^37 - 24 * q^38 + 12 * q^39 + 3 * q^41 + 18 * q^42 + 3 * q^44 + 15 * q^45 + 9 * q^46 - 36 * q^47 - 3 * q^48 - 15 * q^49 + 54 * q^51 - 9 * q^52 - 6 * q^53 + 45 * q^54 - 3 * q^55 + 3 * q^57 - 15 * q^58 - 9 * q^59 + 3 * q^60 - 24 * q^61 + 81 * q^62 - 45 * q^63 - 12 * q^64 - 3 * q^66 + 12 * q^67 + 12 * q^68 + 60 * q^69 - 9 * q^70 + 42 * q^71 - 6 * q^72 - 42 * q^73 + 12 * q^74 + 6 * q^75 - 18 * q^76 + 9 * q^77 + 30 * q^78 - 6 * q^79 - 24 * q^80 - 66 * q^81 - 24 * q^82 - 3 * q^83 - 42 * q^84 + 6 * q^85 - 18 * q^86 - 84 * q^87 - 3 * q^88 + 27 * q^89 + 6 * q^90 + 153 * q^91 - 9 * q^92 - 54 * q^93 - 21 * q^94 - 9 * q^95 - 9 * q^97 - 24 * q^98 + 165 * q^99

Introduction

L-functions

Modular forms

Varieties

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