LMFDB - Embedded newform 378.2.ba.a.47.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [378,2,Mod(47,378)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(378, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([7, 15]))

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

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

chi := DirichletCharacter("378.47");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 378 = 2 \cdot 3^{3} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	378.ba (of order $18$, 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:	$3.01834519640$
Analytic rank:	$0$
Dimension:	$144$
Relative dimension:	$24$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			47.1
Character	$\chi$	$=$	378.47
Dual form			378.2.ba.a.185.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.984808 - 0.173648i) q^{2} +(-1.69591 + 0.351999i) q^{3} +(0.939693 + 0.342020i) q^{4} +(-2.70582 - 0.984837i) q^{5} +(1.73127 - 0.0521605i) q^{6} +(2.49997 - 0.866117i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(2.75219 - 1.19391i) q^{9} +O(q^{10})$	\(q+(-0.984808 - 0.173648i) q^{2} +(-1.69591 + 0.351999i) q^{3} +(0.939693 + 0.342020i) q^{4} +(-2.70582 - 0.984837i) q^{5} +(1.73127 - 0.0521605i) q^{6} +(2.49997 - 0.866117i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(2.75219 - 1.19391i) q^{9} +(2.49370 + 1.43974i) q^{10} +(-0.289792 - 0.796198i) q^{11} +(-1.71402 - 0.249263i) q^{12} +(-0.238650 + 0.655686i) q^{13} +(-2.61239 + 0.418844i) q^{14} +(4.93548 + 0.717746i) q^{15} +(0.766044 + 0.642788i) q^{16} +(-2.72977 + 4.72810i) q^{17} +(-2.91770 + 0.697863i) q^{18} +(-5.46567 + 3.15561i) q^{19} +(-2.20580 - 1.85089i) q^{20} +(-3.93484 + 2.34884i) q^{21} +(0.147131 + 0.834423i) q^{22} +(-1.98962 + 0.350824i) q^{23} +(1.64470 + 0.543113i) q^{24} +(2.52133 + 2.11565i) q^{25} +(0.348883 - 0.604283i) q^{26} +(-4.24720 + 2.99354i) q^{27} +(2.64543 + 0.0411558i) q^{28} +(1.22071 + 3.35389i) q^{29} +(-4.73586 - 1.56388i) q^{30} +(-0.631707 + 1.73560i) q^{31} +(-0.642788 - 0.766044i) q^{32} +(0.771721 + 1.24827i) q^{33} +(3.50932 - 4.18225i) q^{34} +(-7.61745 - 0.118507i) q^{35} +(2.99456 - 0.180607i) q^{36} -8.28946 q^{37} +(5.93060 - 2.15856i) q^{38} +(0.173927 - 1.19599i) q^{39} +(1.85089 + 2.20580i) q^{40} +(9.58069 + 3.48709i) q^{41} +(4.28293 - 1.62988i) q^{42} +(-1.22118 + 6.92563i) q^{43} -0.847296i q^{44} +(-8.62275 + 0.520053i) q^{45} +2.02032 q^{46} +(-7.93099 + 2.88664i) q^{47} +(-1.52540 - 0.820460i) q^{48} +(5.49968 - 4.33053i) q^{49} +(-2.11565 - 2.52133i) q^{50} +(2.96514 - 8.97929i) q^{51} +(-0.448515 + 0.534520i) q^{52} +(4.75666 - 2.74626i) q^{53} +(4.70250 - 2.21054i) q^{54} +2.43976i q^{55} +(-2.59809 - 0.499905i) q^{56} +(8.15849 - 7.27552i) q^{57} +(-0.619773 - 3.51491i) q^{58} +(-2.28449 + 1.91692i) q^{59} +(4.39235 + 2.36249i) q^{60} +(0.396158 + 1.08844i) q^{61} +(0.923494 - 1.59954i) q^{62} +(5.84633 - 5.36847i) q^{63} +(0.500000 + 0.866025i) q^{64} +(1.29149 - 1.53913i) q^{65} +(-0.543237 - 1.36331i) q^{66} +(1.33215 + 7.55501i) q^{67} +(-4.18225 + 3.50932i) q^{68} +(3.25072 - 1.29531i) q^{69} +(7.48114 + 1.43946i) q^{70} +(-10.1727 + 5.87322i) q^{71} +(-2.98043 - 0.342136i) q^{72} +5.01018i q^{73} +(8.16352 + 1.43945i) q^{74} +(-5.02064 - 2.70043i) q^{75} +(-6.21533 + 1.09593i) q^{76} +(-1.41407 - 1.73947i) q^{77} +(-0.378966 + 1.14761i) q^{78} +(1.54145 - 8.74199i) q^{79} +(-1.43974 - 2.49370i) q^{80} +(6.14914 - 6.57177i) q^{81} +(-8.82961 - 5.09778i) q^{82} +(2.72190 - 0.990692i) q^{83} +(-4.50089 + 0.861393i) q^{84} +(12.0427 - 10.1050i) q^{85} +(2.40525 - 6.60836i) q^{86} +(-3.25078 - 5.25818i) q^{87} +(-0.147131 + 0.834423i) q^{88} +(0.0671038 + 0.116227i) q^{89} +(8.58206 + 0.985172i) q^{90} +(-0.0287171 + 1.84589i) q^{91} +(-1.98962 - 0.350824i) q^{92} +(0.460386 - 3.16577i) q^{93} +(8.31176 - 1.46559i) q^{94} +(17.8969 - 3.15570i) q^{95} +(1.35975 + 1.07288i) q^{96} +(-11.1785 - 1.97107i) q^{97} +(-6.16812 + 3.30973i) q^{98} +(-1.74816 - 1.84530i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 144 q - 18 q^{6} + 24 q^{9}+O(q^{10}) $ 144 * q - 18 * q^6 + 24 * q^9	$ 144 q - 18 q^{6} + 24 q^{9} - 24 q^{11} + 6 q^{14} + 12 q^{15} - 30 q^{21} - 42 q^{23} - 6 q^{29} - 18 q^{30} + 6 q^{36} + 48 q^{39} - 48 q^{42} + 18 q^{45} - 54 q^{47} - 36 q^{49} + 12 q^{50} - 36 q^{51} - 90 q^{53} + 6 q^{56} - 6 q^{57} + 18 q^{60} + 54 q^{61} - 24 q^{63} + 72 q^{64} + 78 q^{65} - 72 q^{66} - 54 q^{68} + 36 q^{69} - 18 q^{70} - 72 q^{71} + 12 q^{72} - 36 q^{74} - 6 q^{77} - 60 q^{78} + 36 q^{79} - 6 q^{84} - 72 q^{85} + 24 q^{86} + 36 q^{91} - 42 q^{92} + 96 q^{93} - 66 q^{95} - 108 q^{99}+O(q^{100}) $ 144 * q - 18 * q^6 + 24 * q^9 - 24 * q^11 + 6 * q^14 + 12 * q^15 - 30 * q^21 - 42 * q^23 - 6 * q^29 - 18 * q^30 + 6 * q^36 + 48 * q^39 - 48 * q^42 + 18 * q^45 - 54 * q^47 - 36 * q^49 + 12 * q^50 - 36 * q^51 - 90 * q^53 + 6 * q^56 - 6 * q^57 + 18 * q^60 + 54 * q^61 - 24 * q^63 + 72 * q^64 + 78 * q^65 - 72 * q^66 - 54 * q^68 + 36 * q^69 - 18 * q^70 - 72 * q^71 + 12 * q^72 - 36 * q^74 - 6 * q^77 - 60 * q^78 + 36 * q^79 - 6 * q^84 - 72 * q^85 + 24 * q^86 + 36 * q^91 - 42 * q^92 + 96 * q^93 - 66 * q^95 - 108 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/378\mathbb{Z}\right)^\times$.

$n$	$29$	$325$
$\chi(n)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{5}{6}\right)$

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 $

$2$	−0.984808	−	0.173648i	−0.696364	−	0.122788i
$2$	−0.984808	−	0.173648i	−0.696364	−	0.122788i
$3$	−1.69591	+	0.351999i	−0.979132	+	0.203227i
$3$	−1.69591	+	0.351999i	−0.979132	+	0.203227i
$4$	0.939693	+	0.342020i	0.469846	+	0.171010i
$5$	−2.70582	−	0.984837i	−1.21008	−	0.440433i	−0.343348	−	0.939208i	$-0.611561\pi$
$5$	−2.70582	−	0.984837i	−1.21008	−	0.440433i	−0.866731	+	0.498776i	$0.833783\pi$
$6$	1.73127	−	0.0521605i	0.706786	−	0.0212944i
$7$	2.49997	−	0.866117i	0.944899	−	0.327361i
$7$	2.49997	−	0.866117i	0.944899	−	0.327361i
$8$	−0.866025	−	0.500000i	−0.306186	−	0.176777i
$9$	2.75219	−	1.19391i	0.917398	−	0.397972i
$10$	2.49370	+	1.43974i	0.788576	+	0.455285i
$11$	−0.289792	−	0.796198i	−0.0873756	−	0.240063i	0.888307	−	0.459250i	$-0.151882\pi$
$11$	−0.289792	−	0.796198i	−0.0873756	−	0.240063i	−0.975683	+	0.219187i	$0.929659\pi$
$12$	−1.71402	−	0.249263i	−0.494795	−	0.0719560i
$13$	−0.238650	+	0.655686i	−0.0661896	+	0.181854i	−0.968378	−	0.249488i	$-0.919738\pi$
$13$	−0.238650	+	0.655686i	−0.0661896	+	0.181854i	0.902188	+	0.431342i	$0.141960\pi$
$14$	−2.61239	+	0.418844i	−0.698190	+	0.111941i
$15$	4.93548	+	0.717746i	1.27433	+	0.185321i
$16$	0.766044	+	0.642788i	0.191511	+	0.160697i
$17$	−2.72977	+	4.72810i	−0.662066	+	1.14673i	0.318006	+	0.948089i	$0.396987\pi$
$17$	−2.72977	+	4.72810i	−0.662066	+	1.14673i	−0.980072	+	0.198643i	$0.936346\pi$
$18$	−2.91770	+	0.697863i	−0.687709	+	0.164488i
$19$	−5.46567	+	3.15561i	−1.25391	+	0.723946i	−0.971884	−	0.235461i	$-0.924340\pi$
$19$	−5.46567	+	3.15561i	−1.25391	+	0.723946i	−0.282027	+	0.959406i	$0.591007\pi$
$20$	−2.20580	−	1.85089i	−0.493233	−	0.413871i
$21$	−3.93484	+	2.34884i	−0.858652	+	0.512559i
$22$	0.147131	+	0.834423i	0.0313685	+	0.177900i
$23$	−1.98962	+	0.350824i	−0.414865	+	0.0731519i	−0.377185	−	0.926138i	$-0.623108\pi$
$23$	−1.98962	+	0.350824i	−0.414865	+	0.0731519i	−0.0376800	+	0.999290i	$0.511997\pi$
$24$	1.64470	+	0.543113i	0.335722	+	0.110862i
$25$	2.52133	+	2.11565i	0.504266	+	0.423129i
$26$	0.348883	−	0.604283i	0.0684216	−	0.118510i
$27$	−4.24720	+	2.99354i	−0.817375	+	0.576106i
$28$	2.64543	+	0.0411558i	0.499940	+	0.00777772i
$29$	1.22071	+	3.35389i	0.226681	+	0.622801i	0.999936	−	0.0112939i	$-0.00359505\pi$
$29$	1.22071	+	3.35389i	0.226681	+	0.622801i	−0.773255	+	0.634095i	$0.781373\pi$
$30$	−4.73586	−	1.56388i	−0.864646	−	0.285524i
$31$	−0.631707	+	1.73560i	−0.113458	+	0.311723i	−0.983405	−	0.181421i	$-0.941930\pi$
$31$	−0.631707	+	1.73560i	−0.113458	+	0.311723i	0.869948	+	0.493144i	$0.164152\pi$
$32$	−0.642788	−	0.766044i	−0.113630	−	0.135419i
$33$	0.771721	+	1.24827i	0.134339	+	0.217296i
$34$	3.50932	−	4.18225i	0.601844	−	0.717250i
$35$	−7.61745	−	0.118507i	−1.28758	−	0.0200313i
$36$	2.99456	−	0.180607i	0.499093	−	0.0301012i
$37$	−8.28946			−1.36278			−0.681389	−	0.731921i	$-0.738624\pi$
$37$	−8.28946			−1.36278			−0.681389	+	0.731921i	$0.738624\pi$
$38$	5.93060	−	2.15856i	0.962070	−	0.350165i
$39$	0.173927	−	1.19599i	0.0278507	−	0.191511i
$40$	1.85089	+	2.20580i	0.292651	+	0.348768i
$41$	9.58069	+	3.48709i	1.49625	+	0.544591i	0.955087	−	0.296325i	$-0.0957611\pi$
$41$	9.58069	+	3.48709i	1.49625	+	0.544591i	0.541165	+	0.840916i	$0.317983\pi$
$42$	4.28293	−	1.62988i	0.660871	−	0.251496i
$43$	−1.22118	+	6.92563i	−0.186227	+	1.05615i	0.738141	+	0.674647i	$0.235704\pi$
$43$	−1.22118	+	6.92563i	−0.186227	+	1.05615i	−0.924368	+	0.381502i	$0.875407\pi$
$44$		−	0.847296i		−	0.127735i
$45$	−8.62275	+	0.520053i	−1.28540	+	0.0775250i
$46$	2.02032			0.297879
$47$	−7.93099	+	2.88664i	−1.15685	+	0.421060i	−0.847972	−	0.530041i	$-0.822177\pi$
$47$	−7.93099	+	2.88664i	−1.15685	+	0.421060i	−0.308881	+	0.951101i	$0.599954\pi$
$48$	−1.52540	−	0.820460i	−0.220173	−	0.118423i
$49$	5.49968	−	4.33053i	0.785669	−	0.618647i
$50$	−2.11565	−	2.52133i	−0.299197	−	0.356570i
$51$	2.96514	−	8.97929i	0.415203	−	1.25735i
$52$	−0.448515	+	0.534520i	−0.0621979	+	0.0741246i
$53$	4.75666	−	2.74626i	0.653378	−	0.377228i	−0.136371	−	0.990658i	$-0.543544\pi$
$53$	4.75666	−	2.74626i	0.653378	−	0.377228i	0.789749	+	0.613430i	$0.210211\pi$
$54$	4.70250	−	2.21054i	0.639929	−	0.300816i
$55$			2.43976i			0.328978i
$56$	−2.59809	−	0.499905i	−0.347185	−	0.0668026i
$57$	8.15849	−	7.27552i	1.08062	−	0.963667i
$58$	−0.619773	−	3.51491i	−0.0813802	−	0.461530i
$59$	−2.28449	+	1.91692i	−0.297416	+	0.249561i	−0.779268	−	0.626691i	$-0.784409\pi$
$59$	−2.28449	+	1.91692i	−0.297416	+	0.249561i	0.481852	+	0.876253i	$0.339964\pi$
$60$	4.39235	+	2.36249i	0.567050	+	0.304996i
$61$	0.396158	+	1.08844i	0.0507229	+	0.139360i	0.962467	−	0.271399i	$-0.0874862\pi$
$61$	0.396158	+	1.08844i	0.0507229	+	0.139360i	−0.911744	+	0.410759i	$0.865264\pi$
$62$	0.923494	−	1.59954i	0.117284	−	0.203141i
$63$	5.84633	−	5.36847i	0.736568	−	0.676364i
$64$	0.500000	+	0.866025i	0.0625000	+	0.108253i
$65$	1.29149	−	1.53913i	0.160189	−	0.190906i
$66$	−0.543237	−	1.36331i	−0.0668679	−	0.167812i
$67$	1.33215	+	7.55501i	0.162748	+	0.922991i	0.951356	+	0.308094i	$0.0996912\pi$
$67$	1.33215	+	7.55501i	0.162748	+	0.922991i	−0.788608	+	0.614897i	$0.789198\pi$
$68$	−4.18225	+	3.50932i	−0.507172	+	0.425568i
$69$	3.25072	−	1.29531i	0.391341	−	0.155937i
$70$	7.48114	+	1.43946i	0.894167	+	0.172049i
$71$	−10.1727	+	5.87322i	−1.20728	+	0.697023i	−0.962164	−	0.272471i	$-0.912159\pi$
$71$	−10.1727	+	5.87322i	−1.20728	+	0.697023i	−0.245115	+	0.969494i	$0.578826\pi$
$72$	−2.98043	−	0.342136i	−0.351247	−	0.0403211i
$73$			5.01018i			0.586397i	0.956052	+	0.293199i	$0.0947198\pi$
$73$			5.01018i			0.586397i	−0.956052	+	0.293199i	$0.905280\pi$
$74$	8.16352	+	1.43945i	0.948990	+	0.167333i
$75$	−5.02064	−	2.70043i	−0.579734	−	0.311819i
$76$	−6.21533	+	1.09593i	−0.712947	+	0.125712i
$77$	−1.41407	−	1.73947i	−0.161148	−	0.198232i
$78$	−0.378966	+	1.14761i	−0.0429094	+	0.129942i
$79$	1.54145	−	8.74199i	0.173426	−	0.983550i	−0.766518	−	0.642223i	$-0.778012\pi$
$79$	1.54145	−	8.74199i	0.173426	−	0.983550i	0.939944	−	0.341328i	$-0.110877\pi$
$80$	−1.43974	−	2.49370i	−0.160967	−	0.278804i
$81$	6.14914	−	6.57177i	0.683237	−	0.730196i
$82$	−8.82961	−	5.09778i	−0.975068	−	0.562956i
$83$	2.72190	−	0.990692i	0.298768	−	0.108743i	−0.188287	−	0.982114i	$-0.560293\pi$
$83$	2.72190	−	0.990692i	0.298768	−	0.108743i	0.487055	+	0.873372i	$0.338071\pi$
$84$	−4.50089	+	0.861393i	−0.491087	+	0.0939857i
$85$	12.0427	−	10.1050i	1.30621	−	1.09604i
$86$	2.40525	−	6.60836i	0.259364	−	0.712598i
$87$	−3.25078	−	5.25818i	−0.348520	−	0.563737i
$88$	−0.147131	+	0.834423i	−0.0156843	+	0.0889498i
$89$	0.0671038	+	0.116227i	0.00711299	+	0.0123201i	0.869560	−	0.493827i	$-0.164403\pi$
$89$	0.0671038	+	0.116227i	0.00711299	+	0.0123201i	−0.862447	+	0.506147i	$0.831069\pi$
$90$	8.58206	+	0.985172i	0.904628	+	0.103846i
$91$	−0.0287171	+	1.84589i	−0.00301037	+	0.193502i
$92$	−1.98962	−	0.350824i	−0.207432	−	0.0365759i
$93$	0.460386	−	3.16577i	0.0477398	−	0.328276i
$94$	8.31176	−	1.46559i	0.857292	−	0.151164i
$95$	17.8969	−	3.15570i	1.83618	−	0.323768i
$96$	1.35975	+	1.07288i	0.138779	+	0.109500i
$97$	−11.1785	−	1.97107i	−1.13500	−	0.200132i	−0.425585	−	0.904919i	$-0.639932\pi$
$97$	−11.1785	−	1.97107i	−1.13500	−	0.200132i	−0.709419	+	0.704787i	$0.751043\pi$
$98$	−6.16812	+	3.30973i	−0.623074	+	0.334333i
$99$	−1.74816	−	1.84530i	−0.175696	−	0.185460i
$100$	1.64568	+	2.85040i	0.164568	+	0.285040i
$101$	3.37530	−	19.1423i	0.335855	−	1.90473i	−0.0827741	−	0.996568i	$-0.526378\pi$
$101$	3.37530	−	19.1423i	0.335855	−	1.90473i	0.418629	−	0.908158i	$-0.362511\pi$
$102$	−4.47933	+	8.32798i	−0.443520	+	0.824593i
$103$	1.54668	−	4.24947i	0.152399	−	0.418713i	−0.839875	−	0.542780i	$-0.817372\pi$
$103$	1.54668	−	4.24947i	0.152399	−	0.418713i	0.992274	+	0.124067i	$0.0395939\pi$
$104$	0.534520	−	0.448515i	0.0524140	−	0.0439805i
$105$	12.9602	−	2.48036i	1.26478	−	0.242058i
$106$	−5.16128	+	1.87855i	−0.501308	+	0.182461i
$107$	−15.3170	−	8.84326i	−1.48075	−	0.854910i	−0.480986	−	0.876728i	$-0.659721\pi$
$107$	−15.3170	−	8.84326i	−1.48075	−	0.854910i	−0.999762	+	0.0218180i	$0.993055\pi$
$108$	−5.01492	+	1.36037i	−0.482561	+	0.130902i
$109$	3.43719	+	5.95338i	0.329223	+	0.570230i	0.982358	−	0.187011i	$-0.0598800\pi$
$109$	3.43719	+	5.95338i	0.329223	+	0.570230i	−0.653135	+	0.757241i	$0.726547\pi$
$110$	0.423661	−	2.40270i	0.0403945	−	0.229088i
$111$	14.0581	−	2.91788i	1.33434	−	0.276953i
$112$	2.47182	+	0.943465i	0.233565	+	0.0891490i
$113$	1.10879	−	0.195509i	0.104306	−	0.0183920i	−0.121251	−	0.992622i	$-0.538691\pi$
$113$	1.10879	−	0.195509i	0.104306	−	0.0183920i	0.225558	+	0.974230i	$0.427580\pi$
$114$	−9.29793	+	5.74828i	−0.870831	+	0.538376i
$115$	5.72906	+	1.01019i	0.534238	+	0.0942005i
$116$			3.56913i			0.331385i
$117$	0.126022	+	2.08950i	0.0116507	+	0.193174i
$118$	2.58265	−	1.49110i	0.237753	−	0.137267i
$119$	−2.72925	+	14.1844i	−0.250190	+	1.30028i
$120$	−3.91537	−	3.08932i	−0.357423	−	0.282015i
$121$	7.87654	−	6.60920i	0.716049	−	0.600836i
$122$	−0.201135	−	1.14069i	−0.0182099	−	0.103273i
$123$	−17.4754	−	2.54138i	−1.57570	−	0.229148i
$124$	−1.18722	+	1.41487i	−0.106616	+	0.127059i
$125$	2.45999	+	4.26083i	0.220028	+	0.381100i
$126$	−6.68973	+	4.27171i	−0.595969	+	0.380554i
$127$	−8.54505	+	14.8005i	−0.758250	+	1.31333i	0.185492	+	0.982646i	$0.440612\pi$
$127$	−8.54505	+	14.8005i	−0.758250	+	1.31333i	−0.943742	+	0.330682i	$0.892721\pi$
$128$	−0.342020	−	0.939693i	−0.0302306	−	0.0830579i
$129$	−0.366817	−	12.1751i	−0.0322964	−	1.07195i
$130$	−1.53913	+	1.29149i	−0.134991	+	0.113271i
$131$	2.91454	+	16.5292i	0.254645	+	1.44416i	0.796982	+	0.604003i	$0.206428\pi$
$131$	2.91454	+	16.5292i	0.254645	+	1.44416i	−0.542337	+	0.840161i	$0.682461\pi$
$132$	0.298247	+	1.43693i	0.0259591	+	0.125069i
$133$	−10.9309	+	12.6228i	−0.947827	+	1.09454i
$134$		−	7.67155i		−	0.662721i
$135$	14.4403	−	3.91716i	1.24282	−	0.337136i
$136$	4.72810	−	2.72977i	0.405431	−	0.234076i
$137$	−2.42809	+	2.89368i	−0.207446	+	0.247224i	−0.859728	−	0.510752i	$-0.829367\pi$
$137$	−2.42809	+	2.89368i	−0.207446	+	0.247224i	0.652283	+	0.757976i	$0.273812\pi$
$138$	−3.42626	+	0.711149i	−0.291663	+	0.0605370i
$139$	−14.8502	−	17.6977i	−1.25957	−	1.50110i	−0.783076	−	0.621926i	$-0.786351\pi$
$139$	−14.8502	−	17.6977i	−1.25957	−	1.50110i	−0.476497	−	0.879176i	$-0.658094\pi$
$140$	−7.11753	−	2.71668i	−0.601541	−	0.229601i
$141$	12.4341	−	7.68717i	1.04714	−	0.647377i
$142$	11.0380	−	4.01752i	0.926292	−	0.337143i
$143$	0.591214			0.0494398
$144$	2.87574	+	0.854484i	0.239645	+	0.0712070i
$145$		−	10.2772i		−	0.853476i
$146$	0.870009	−	4.93407i	0.0720025	−	0.408346i
$147$	−7.80260	+	9.28005i	−0.643548	+	0.765406i
$148$	−7.78954	−	2.83516i	−0.640296	−	0.233049i
$149$	12.7701	+	15.2188i	1.04617	+	1.24678i	0.968294	+	0.249812i	$0.0803689\pi$
$149$	12.7701	+	15.2188i	1.04617	+	1.24678i	0.0778744	+	0.996963i	$0.475187\pi$
$150$	4.47544	+	3.53123i	0.365418	+	0.288324i
$151$	6.72842	−	2.44895i	0.547551	−	0.199292i	−0.0534069	−	0.998573i	$-0.517008\pi$
$151$	6.72842	−	2.44895i	0.547551	−	0.199292i	0.600958	+	0.799280i	$0.294786\pi$
$152$	6.31121			0.511907
$153$	−1.86791	+	16.2718i	−0.151011	+	1.31549i
$154$	1.09053	+	1.95860i	0.0878776	+	0.157828i
$155$	3.41857	−	4.07409i	0.274586	−	0.327239i
$156$	0.572489	−	1.06437i	0.0458358	−	0.0852180i
$157$	−14.3593	−	17.1127i	−1.14600	−	1.36575i	−0.920142	−	0.391585i	$-0.871927\pi$
$157$	−14.3593	−	17.1127i	−1.14600	−	1.36575i	−0.225855	−	0.974161i	$-0.572517\pi$
$158$	−3.03606	+	8.34151i	−0.241536	+	0.663615i
$159$	−7.10017	+	6.33174i	−0.563080	+	0.502140i
$160$	0.984837	+	2.70582i	0.0778582	+	0.213914i
$161$	−4.67014	+	2.60029i	−0.368058	+	0.204932i
$162$	−7.19689	+	5.40414i	−0.565441	+	0.424589i
$163$	−11.0905	+	19.2093i	−0.868675	+	1.50459i	−0.00532420	+	0.999986i	$0.501695\pi$
$163$	−11.0905	+	19.2093i	−0.868675	+	1.50459i	−0.863351	+	0.504604i	$0.831639\pi$
$164$	7.81025	+	6.55358i	0.609878	+	0.511749i
$165$	−0.858795	−	4.13761i	−0.0668571	−	0.322113i
$166$	−2.85258	+	0.502987i	−0.221403	+	0.0390394i
$167$	0.343086	+	1.94574i	0.0265488	+	0.150566i	0.995200	−	0.0978573i	$-0.0311989\pi$
$167$	0.343086	+	1.94574i	0.0265488	+	0.150566i	−0.968652	+	0.248423i	$0.920088\pi$
$168$	4.58209	−	0.0667353i	0.353516	−	0.00514874i
$169$	9.58561	+	8.04328i	0.737354	+	0.618714i
$170$	−13.6144	+	7.86029i	−1.04418	+	0.602857i
$171$	−11.2751	+	15.2104i	−0.862225	+	1.16317i
$172$	−3.51623	+	6.09030i	−0.268110	+	0.464381i
$173$	5.20044	+	4.36369i	0.395382	+	0.331765i	0.818706	−	0.574214i	$-0.194692\pi$
$173$	5.20044	+	4.36369i	0.395382	+	0.331765i	−0.423323	+	0.905979i	$0.639137\pi$
$174$	2.28832	+	5.74279i	0.173477	+	0.435360i
$175$	8.13564	+	3.10528i	0.614996	+	0.234737i
$176$	0.289792	−	0.796198i	0.0218439	−	0.0600156i
$177$	3.19953	−	4.05505i	0.240491	−	0.304796i
$178$	−0.0459017	−	0.126114i	−0.00344048	−	0.00945264i
$179$	−17.6160	−	10.1706i	−1.31668	−	0.760185i	−0.333486	−	0.942755i	$-0.608225\pi$
$179$	−17.6160	−	10.1706i	−1.31668	−	0.760185i	−0.983193	+	0.182570i	$0.941558\pi$
$180$	−8.28060	−	2.46046i	−0.617200	−	0.183392i
$181$	1.84746	+	1.06663i	0.137321	+	0.0792822i	0.567086	−	0.823658i	$-0.308071\pi$
$181$	1.84746	+	1.06663i	0.137321	+	0.0792822i	−0.429766	+	0.902940i	$0.641404\pi$
$182$	0.348817	−	1.81286i	0.0258560	−	0.134378i
$183$	−1.05498	−	1.70644i	−0.0779860	−	0.126143i
$184$	1.89848	+	0.690989i	0.139957	+	0.0509404i
$185$	22.4298	+	8.16377i	1.64907	+	0.600212i
$186$	−1.00312	+	3.03773i	−0.0735525	+	0.222737i
$187$	4.55557	+	0.803269i	0.333136	+	0.0587409i
$188$	−8.43998			−0.615549
$189$	−8.02512	+	11.1623i	−0.583742	+	0.811939i
$190$	−18.1730			−1.31841
$191$	6.94799	+	1.22512i	0.502739	+	0.0886465i	0.419266	−	0.907864i	$-0.362288\pi$
$191$	6.94799	+	1.22512i	0.502739	+	0.0886465i	0.0834733	+	0.996510i	$0.473399\pi$
$192$	−1.15279	−	1.29270i	−0.0831957	−	0.0932924i
$193$	−6.76320	−	2.46160i	−0.486826	−	0.177190i	0.0869336	−	0.996214i	$-0.472293\pi$
$193$	−6.76320	−	2.46160i	−0.486826	−	0.177190i	−0.573759	+	0.819024i	$0.694515\pi$
$194$	10.6664	+	3.88225i	0.765802	+	0.278729i
$195$	−1.64847	+	3.06483i	−0.118049	+	0.219477i
$196$	6.64914	−	2.18836i	0.474939	−	0.156312i
$197$	11.3468	+	6.55106i	0.808424	+	0.466744i	0.846408	−	0.532534i	$-0.178760\pi$
$197$	11.3468	+	6.55106i	0.808424	+	0.466744i	−0.0379841	+	0.999278i	$0.512094\pi$
$198$	1.40116	+	2.12083i	0.0995764	+	0.150721i
$199$	−8.51252	−	4.91471i	−0.603436	−	0.348394i	0.166956	−	0.985964i	$-0.446606\pi$
$199$	−8.51252	−	4.91471i	−0.603436	−	0.348394i	−0.770392	+	0.637570i	$0.779940\pi$
$200$	−1.12571	−	3.09287i	−0.0795998	−	0.218699i
$201$	−4.91856	−	12.3437i	−0.346928	−	0.870655i
$202$	−6.64804	+	18.2653i	−0.467754	+	1.28514i
$203$	5.95661	+	7.32733i	0.418072	+	0.514278i
$204$	5.85742	−	7.42363i	0.410101	−	0.519758i
$205$	−22.4894	−	18.8708i	−1.57073	−	1.31800i
$206$	−2.26110	+	3.91633i	−0.157538	+	0.272864i
$207$	−5.05697	+	3.34097i	−0.351484	+	0.232214i
$208$	−0.604283	+	0.348883i	−0.0418995	+	0.0241907i
$209$	4.09640	+	3.43728i	0.283354	+	0.237762i
$210$	−13.1940	+	0.192162i	−0.910472	+	0.0132605i
$211$	0.782150	+	4.43579i	0.0538454	+	0.305372i	0.999822	−	0.0188622i	$-0.00600438\pi$
$211$	0.782150	+	4.43579i	0.0538454	+	0.305372i	−0.945977	+	0.324235i	$0.894893\pi$
$212$	5.40908	−	0.953766i	0.371497	−	0.0655049i
$213$	15.1846	−	13.5412i	1.04043	−	0.927829i
$214$	13.5487	+	11.3687i	0.926167	+	0.777147i
$215$	10.1249	−	17.5368i	0.690512	−	1.19600i
$216$	5.17495	−	0.468877i	0.352111	−	0.0319030i
$217$	−0.0760143	+	4.88608i	−0.00516018	+	0.331689i
$218$	−2.35117	−	6.45980i	−0.159242	−	0.437513i
$219$	−1.76358	−	8.49680i	−0.119172	−	0.574160i
$220$	−0.834449	+	2.29263i	−0.0562585	+	0.154569i
$221$	−2.44869	−	2.91823i	−0.164716	−	0.196301i
$222$	−14.3513	+	0.432382i	−0.963193	+	0.0290196i
$223$	10.9462	−	13.0452i	0.733011	−	0.873568i	−0.262815	−	0.964846i	$-0.584651\pi$
$223$	10.9462	−	13.0452i	0.733011	−	0.873568i	0.995825	+	0.0912780i	$0.0290952\pi$
$224$	−2.27043	−	1.35836i	−0.151700	−	0.0907591i
$225$	9.46508	+	2.81241i	0.631005	+	0.187494i
$226$	−1.12589			−0.0748934
$227$	20.7410	−	7.54911i	1.37663	−	0.501052i	0.455474	−	0.890249i	$-0.349470\pi$
$227$	20.7410	−	7.54911i	1.37663	−	0.501052i	0.921154	+	0.389197i	$0.127248\pi$
$228$	10.1549	−	4.04639i	0.672521	−	0.267978i
$229$	−17.6191	−	20.9976i	−1.16430	−	1.38756i	−0.906948	−	0.421244i	$-0.861594\pi$
$229$	−17.6191	−	20.9976i	−1.16430	−	1.38756i	−0.257354	−	0.966317i	$-0.582851\pi$
$230$	−5.46661	−	1.98968i	−0.360457	−	0.131196i
$231$	3.01043	+	2.45223i	0.198071	+	0.161345i
$232$	0.619773	−	3.51491i	0.0406901	−	0.230765i
$233$		−	8.35770i		−	0.547531i	−0.961796	−	0.273766i	$-0.911731\pi$
$233$		−	8.35770i		−	0.547531i	0.961796	−	0.273766i	$-0.0882693\pi$
$234$	0.238731	−	2.07964i	0.0156063	−	0.135950i
$235$	24.3027			1.58533
$236$	−2.80234	+	1.01997i	−0.182417	+	0.0663944i
$237$	0.463020	+	15.3682i	0.0300764	+	0.998270i
$238$	5.15088	−	13.4950i	0.333882	−	0.874749i
$239$	−11.2220	−	13.3739i	−0.725893	−	0.865086i	0.269296	−	0.963058i	$-0.413209\pi$
$239$	−11.2220	−	13.3739i	−0.725893	−	0.865086i	−0.995189	+	0.0979714i	$0.968765\pi$
$240$	3.31944	+	3.72229i	0.214269	+	0.240273i
$241$	−15.0156	+	17.8949i	−0.967238	+	1.15271i	0.0209990	+	0.999779i	$0.493315\pi$
$241$	−15.0156	+	17.8949i	−0.967238	+	1.15271i	−0.988237	+	0.152930i	$0.951129\pi$
$242$	−8.90455	+	5.14104i	−0.572406	+	0.330479i
$243$	−8.11510	+	13.3096i	−0.520584	+	0.853811i
$244$			1.15829i			0.0741519i
$245$	−19.1460	+	6.30133i	−1.22319	+	0.402578i
$246$	16.7686	+	5.53734i	1.06913	+	0.353048i
$247$	−0.764703	−	4.33685i	−0.0486569	−	0.275947i
$248$	1.41487	−	1.18722i	0.0898446	−	0.0753886i
$249$	−4.26737	+	2.63823i	−0.270433	+	0.167191i
$250$	−1.68273	−	4.62327i	−0.106425	−	0.292401i
$251$	12.6891	−	21.9781i	0.800927	−	1.38725i	−0.118079	−	0.993004i	$-0.537674\pi$
$251$	12.6891	−	21.9781i	0.800927	−	1.38725i	0.919006	−	0.394243i	$-0.128993\pi$
$252$	7.32987	−	3.04515i	0.461739	−	0.191826i
$253$	0.855902	+	1.48247i	0.0538101	+	0.0932019i
$254$	10.9853	−	13.0918i	0.689279	−	0.821451i
$255$	−16.8663	+	21.3761i	−1.05621	+	1.33863i
$256$	0.173648	+	0.984808i	0.0108530	+	0.0615505i
$257$	−18.6846	+	15.6782i	−1.16551	+	0.977981i	−0.999966	−	0.00822098i	$-0.997383\pi$
$257$	−18.6846	+	15.6782i	−1.16551	+	0.977981i	−0.165546	+	0.986202i	$0.552939\pi$
$258$	−1.75293	+	12.0538i	−0.109133	+	0.750437i
$259$	−20.7234	+	7.17964i	−1.28769	+	0.446121i
$260$	1.74002	−	1.00460i	0.107911	−	0.0623026i
$261$	7.36390	+	7.77311i	0.455814	+	0.481144i
$262$		−	16.7842i		−	1.03693i
$263$	−5.70534	−	1.00601i	−0.351806	−	0.0620329i	−0.00504743	−	0.999987i	$-0.501607\pi$
$263$	−5.70534	−	1.00601i	−0.351806	−	0.0620329i	−0.346759	+	0.937954i	$0.612718\pi$
$264$	−0.0441953	−	1.46689i	−0.00272004	−	0.0902811i
$265$	−15.5753	+	2.74634i	−0.956782	+	0.168707i
$266$	12.9567	−	10.5329i	0.794429	−	0.645815i
$267$	−0.154714	−	0.173490i	−0.00946832	−	0.0106174i
$268$	−1.33215	+	7.55501i	−0.0813741	+	0.461495i
$269$	8.30029	+	14.3765i	0.506077	+	0.876552i	0.999975	+	0.00703187i	$0.00223833\pi$
$269$	8.30029	+	14.3765i	0.506077	+	0.876552i	−0.493898	+	0.869520i	$0.664428\pi$
$270$	−14.9011	+	1.35012i	−0.906854	+	0.0821655i
$271$	12.4540	+	7.19030i	0.756524	+	0.436780i	0.828046	−	0.560659i	$-0.189452\pi$
$271$	12.4540	+	7.19030i	0.756524	+	0.436780i	−0.0715221	+	0.997439i	$0.522786\pi$
$272$	−5.13029	+	1.86727i	−0.311069	+	0.113220i
$273$	−0.601051	−	3.14057i	−0.0363772	−	0.190076i
$274$	2.89368	−	2.42809i	0.174814	−	0.146686i
$275$	0.953810	−	2.62057i	0.0575169	−	0.158026i
$276$	3.49770	−	0.105381i	0.210537	−	0.00634317i
$277$	4.74693	−	26.9212i	0.285216	−	1.61754i	−0.419298	−	0.907848i	$-0.637724\pi$
$277$	4.74693	−	26.9212i	0.285216	−	1.61754i	0.704514	−	0.709690i	$-0.251165\pi$
$278$	11.5514	+	20.0076i	0.692805	+	1.19997i
$279$	0.333579	+	5.53091i	0.0199709	+	0.331127i
$280$	6.53765	+	3.91135i	0.390699	+	0.233748i
$281$	0.0327715	+	0.00577851i	0.00195499	+	0.000344717i	0.174626	−	0.984635i	$-0.444128\pi$
$281$	0.0327715	+	0.00577851i	0.00195499	+	0.000344717i	−0.172671	+	0.984980i	$0.555240\pi$
$282$	−13.5801	+	5.41123i	−0.808681	+	0.322234i
$283$	−2.33098	+	0.411015i	−0.138563	+	0.0244323i	−0.242499	−	0.970152i	$-0.577967\pi$
$283$	−2.33098	+	0.411015i	−0.138563	+	0.0244323i	0.103937	+	0.994584i	$0.466856\pi$
$284$	−11.5680	+	2.03975i	−0.686433	+	0.121037i
$285$	−29.2406	+	11.6515i	−1.73206	+	0.690173i
$286$	−0.582232	−	0.102663i	−0.0344281	−	0.00607061i
$287$	26.9717	+	0.419607i	1.59209	+	0.0247686i
$288$	−2.68367	−	1.34087i	−0.158137	−	0.0790115i
$289$	−6.40327	−	11.0908i	−0.376663	−	0.652400i
$290$	−1.78462	+	10.1211i	−0.104796	+	0.594330i
$291$	19.6515	−	0.592070i	1.15199	−	0.0347078i
$292$	−1.71358	+	4.70803i	−0.100280	+	0.275517i
$293$	−2.84093	+	2.38382i	−0.165969	+	0.139264i	−0.721989	−	0.691904i	$-0.756772\pi$
$293$	−2.84093	+	2.38382i	−0.165969	+	0.139264i	0.556020	+	0.831169i	$0.312328\pi$
$294$	9.29553	−	7.78416i	0.542126	−	0.453982i
$295$	8.06927	−	2.93698i	0.469811	−	0.170997i
$296$	7.17888	+	4.14473i	0.417264	+	0.240907i
$297$	3.61425	+	2.51411i	0.209720	+	0.145883i
$298$	−9.93339	−	17.2051i	−0.575426	−	0.996666i
$299$	0.244793	−	1.38829i	0.0141568	−	0.0802869i
$300$	−3.79426	−	4.25473i	−0.219062	−	0.245647i
$301$	2.94551	+	18.3715i	0.169776	+	1.05892i
$302$	−7.05146	+	1.24336i	−0.405766	+	0.0715475i
$303$	1.01387	+	33.6516i	0.0582454	+	1.93323i
$304$	−6.21533	−	1.09593i	−0.356474	−	0.0628559i
$305$		−	3.33526i		−	0.190976i
$306$	4.66509	−	15.7002i	0.266685	−	0.897520i
$307$	−4.76660	+	2.75200i	−0.272044	+	0.157065i	−0.629816	−	0.776744i	$-0.716870\pi$
$307$	−4.76660	+	2.75200i	−0.272044	+	0.157065i	0.357772	+	0.933809i	$0.383537\pi$
$308$	−0.733857	−	2.11821i	−0.0418154	−	0.120696i
$309$	−1.12722	+	7.75113i	−0.0641250	+	0.440947i
$310$	−4.07409	+	3.41857i	−0.231393	+	0.194162i
$311$	−1.69407	−	9.60754i	−0.0960618	−	0.544794i	−0.994417	−	0.105523i	$-0.966348\pi$
$311$	−1.69407	−	9.60754i	−0.0960618	−	0.544794i	0.898355	−	0.439270i	$-0.144763\pi$
$312$	−0.748618	+	0.948790i	−0.0423822	+	0.0537147i
$313$	8.98723	−	10.7106i	0.507988	−	0.605397i	−0.449709	−	0.893175i	$-0.648472\pi$
$313$	8.98723	−	10.7106i	0.507988	−	0.605397i	0.957697	+	0.287778i	$0.0929167\pi$
$314$	11.1696	+	19.3462i	0.630334	+	1.09177i
$315$	−21.1062	+	8.76843i	−1.18920	+	0.494045i
$316$	4.43842	−	7.68757i	0.249681	−	0.432460i
$317$	−2.49509	−	6.85520i	−0.140138	−	0.385026i	0.849692	−	0.527279i	$-0.176788\pi$
$317$	−2.49509	−	6.85520i	−0.140138	−	0.385026i	−0.989830	+	0.142253i	$0.954565\pi$
$318$	8.09180	−	5.00262i	0.453766	−	0.280533i
$319$	2.31660	−	1.94386i	0.129705	−	0.108835i
$320$	−0.500015	−	2.83573i	−0.0279517	−	0.158522i
$321$	29.0890	+	9.60578i	1.62359	+	0.536142i
$322$	5.05072	−	1.74983i	0.281466	−	0.0975142i
$323$		−	34.4563i		−	1.91720i
$324$	8.02597	−	4.07231i	0.445887	−	0.226240i
$325$	−1.98891	+	1.14830i	−0.110325	+	0.0636962i
$326$	14.2577	−	16.9916i	0.789660	−	0.941080i
$327$	−7.92473	−	8.88649i	−0.438238	−	0.491424i
$328$	−6.55358	−	7.81025i	−0.361861	−	0.431249i
$329$	−17.3270	+	14.0857i	−0.955271	+	0.776569i
$330$	0.127259	+	4.22388i	0.00700539	+	0.232517i
$331$	26.5385	−	9.65922i	1.45869	−	0.530918i	0.513683	−	0.857980i	$-0.328281\pi$
$331$	26.5385	−	9.65922i	1.45869	−	0.530918i	0.945003	+	0.327061i	$0.106058\pi$
$332$	2.89659			0.158971
$333$	−22.8142	+	9.89691i	−1.25021	+	0.542347i
$334$		−	1.97575i		−	0.108108i
$335$	3.83589	−	21.7544i	0.209577	−	1.18857i
$336$	−4.52407	−	0.729950i	−0.246808	−	0.0398220i
$337$	−0.277261	−	0.100915i	−0.0151034	−	0.00549717i	0.334457	−	0.942411i	$-0.391447\pi$
$337$	−0.277261	−	0.100915i	−0.0151034	−	0.00549717i	−0.349561	+	0.936914i	$0.613669\pi$
$338$	−8.04328	−	9.58561i	−0.437497	−	0.521388i
$339$	−1.81158	+	0.721858i	−0.0983917	+	0.0392060i
$340$	14.7725	−	5.37676i	0.801152	−	0.291596i
$341$	1.56494			0.0847465
$342$	13.7450	−	13.0214i	0.743246	−	0.704117i
$343$	9.99829	−	15.5896i	0.539857	−	0.841757i
$344$	4.52038	−	5.38718i	0.243723	−	0.290457i
$345$	−10.0715	+	0.303440i	−0.542233	+	0.0163367i
$346$	−4.36369	−	5.20044i	−0.234593	−	0.279578i
$347$	−1.77022	+	4.86364i	−0.0950303	+	0.261094i	−0.978095	−	0.208157i	$-0.933254\pi$
$347$	−1.77022	+	4.86364i	−0.0950303	+	0.261094i	0.883065	+	0.469250i	$0.155476\pi$
$348$	−1.25633	−	6.05291i	−0.0673464	−	0.324470i
$349$	6.05907	+	16.6472i	0.324335	+	0.891102i	0.989516	+	0.144420i	$0.0461318\pi$
$349$	6.05907	+	16.6472i	0.324335	+	0.891102i	−0.665182	+	0.746681i	$0.731646\pi$
$350$	−7.47281	−	4.47084i	−0.399439	−	0.238977i
$351$	−0.949223	−	3.49924i	−0.0506658	−	0.186775i
$352$	−0.423648	+	0.733780i	−0.0225805	+	0.0391106i
$353$	−18.9814	−	15.9273i	−1.01028	−	0.847723i	−0.0219024	−	0.999760i	$-0.506972\pi$
$353$	−18.9814	−	15.9273i	−1.01028	−	0.847723i	−0.988375	+	0.152037i	$0.951417\pi$
$354$	−3.85508	+	3.43785i	−0.204895	+	0.182720i
$355$	33.3097	−	5.87340i	1.76789	−	0.311727i
$356$	0.0233049	+	0.132169i	0.00123516	+	0.00700493i
$357$	−0.364344	−	25.0161i	−0.0192831	−	1.32399i
$358$	15.5822	+	13.0750i	0.823547	+	0.691038i
$359$	−5.06999	+	2.92716i	−0.267584	+	0.154489i	−0.627789	−	0.778384i	$-0.716040\pi$
$359$	−5.06999	+	2.92716i	−0.267584	+	0.154489i	0.360205	+	0.932873i	$0.382707\pi$
$360$	7.72755	+	3.86099i	0.407277	+	0.203492i
$361$	10.4157	−	18.0405i	0.548195	−	0.949502i
$362$	−1.63418	−	1.37124i	−0.0858904	−	0.0720706i
$363$	−11.0314	+	13.9811i	−0.579000	+	0.733818i
$364$	−0.658317	+	1.72475i	−0.0345052	+	0.0904014i
$365$	4.93421	−	13.5566i	0.258269	−	0.709587i
$366$	0.742628	+	1.86371i	0.0388178	+	0.0974175i
$367$	−4.83823	−	13.2929i	−0.252554	−	0.693886i	−0.999577	−	0.0290876i	$-0.990740\pi$
$367$	−4.83823	−	13.2929i	−0.252554	−	0.693886i	0.747023	−	0.664798i	$-0.231482\pi$
$368$	−1.74964	−	1.01016i	−0.0912065	−	0.0526581i
$369$	30.5312	−	1.84139i	1.58939	−	0.0958590i
$370$	−20.6714	−	11.9346i	−1.07465	−	0.620452i
$371$	9.51292	−	10.9854i	0.493886	−	0.570333i
$372$	1.51538	−	2.81739i	0.0785688	−	0.146075i
$373$	28.3411	+	10.3153i	1.46744	+	0.534106i	0.947405	−	0.320037i	$-0.103695\pi$
$373$	28.3411	+	10.3153i	1.46744	+	0.534106i	0.520039	+	0.854143i	$0.325917\pi$
$374$	−4.34687	−	1.58213i	−0.224771	−	0.0818101i
$375$	−5.67172	−	6.36005i	−0.292886	−	0.328432i
$376$	8.31176	+	1.46559i	0.428646	+	0.0755819i
$377$	−2.49042			−0.128263
$378$	9.84152	−	9.59919i	0.506193	−	0.493729i
$379$	−19.8014			−1.01713			−0.508566	−	0.861023i	$-0.669824\pi$
$379$	−19.8014			−1.01713			−0.508566	+	0.861023i	$0.669824\pi$
$380$	17.8969	+	3.15570i	0.918090	+	0.161884i
$381$	9.28185	−	28.1080i	0.475524	−	1.44002i
$382$	−6.62970	−	2.41301i	−0.339205	−	0.123460i
$383$	16.5580	+	6.02663i	0.846076	+	0.307946i	0.728439	−	0.685110i	$-0.240246\pi$
$383$	16.5580	+	6.02663i	0.846076	+	0.307946i	0.117636	+	0.993057i	$0.462468\pi$
$384$	0.910805	+	1.47324i	0.0464793	+	0.0751809i
$385$	2.11312	+	6.09933i	0.107695	+	0.310851i
$386$	6.23300	+	3.59862i	0.317251	+	0.183165i
$387$	4.90770	+	20.5186i	0.249472	+	1.04302i
$388$	−9.83020	−	5.67547i	−0.499053	−	0.288128i
$389$	0.316930	+	0.870758i	0.0160690	+	0.0441492i	0.947468	−	0.319851i	$-0.103633\pi$
$389$	0.316930	+	0.870758i	0.0160690	+	0.0441492i	−0.931399	+	0.364000i	$0.881411\pi$
$390$	2.15563	−	2.73202i	0.109154	−	0.138341i
$391$	3.77248	−	10.3648i	0.190782	−	0.524170i
$392$	−6.92813	+	1.00051i	−0.349923	+	0.0505333i
$393$	−10.7611	−	27.0061i	−0.542824	−	1.36228i
$394$	−10.0368	−	8.42189i	−0.505647	−	0.424288i
$395$	−12.7803	+	22.1362i	−0.643047	+	1.11379i
$396$	−1.01160	−	2.33192i	−0.0508348	−	0.117183i
$397$	22.7448	−	13.1317i	1.14153	−	0.659062i	0.194720	−	0.980859i	$-0.437620\pi$
$397$	22.7448	−	13.1317i	1.14153	−	0.659062i	0.946809	+	0.321797i	$0.104287\pi$
$398$	7.52977	+	6.31822i	0.377433	+	0.316704i
$399$	14.0945	−	25.2548i	0.705609	−	1.26432i
$400$	0.571539	+	3.24136i	0.0285769	+	0.162068i
$401$	0.105221	−	0.0185533i	0.00525447	−	0.000926506i	−0.171020	−	0.985268i	$-0.554706\pi$
$401$	0.105221	−	0.0185533i	0.00525447	−	0.000926506i	0.176275	+	0.984341i	$0.443595\pi$
$402$	2.70038	+	13.0102i	0.134683	+	0.648892i
$403$	−0.987251	−	0.828402i	−0.0491785	−	0.0412656i
$404$	9.71878	−	16.8334i	0.483527	−	0.837494i
$405$	−23.1106	+	11.7261i	−1.14837	+	0.582675i
$406$	−4.59373	−	8.25036i	−0.227983	−	0.409459i
$407$	2.40222	+	6.60005i	0.119074	+	0.327152i
$408$	−7.05753	+	6.29372i	−0.349400	+	0.311585i
$409$	−10.7348	+	29.4937i	−0.530803	+	1.45837i	0.327314	+	0.944916i	$0.393857\pi$
$409$	−10.7348	+	29.4937i	−0.530803	+	1.45837i	−0.858117	+	0.513454i	$0.828366\pi$
$410$	18.8708	+	22.4894i	0.931965	+	1.11067i
$411$	3.09924	−	5.76210i	0.152874	−	0.284223i
$412$	2.90681	−	3.46420i	0.143208	−	0.170669i
$413$	−4.05088	+	6.77087i	−0.199331	+	0.333173i
$414$	5.56030	−	2.41208i	0.273274	−	0.118547i
$415$	−8.34065			−0.409426
$416$	0.655686	−	0.238650i	0.0321476	−	0.0117008i
$417$	31.4140	+	24.7864i	1.53835	+	1.21380i
$418$	−3.43728	−	4.09640i	−0.168123	−	0.200361i
$419$	−28.2118	−	10.2683i	−1.37824	−	0.501638i	−0.456594	−	0.889675i	$-0.650931\pi$
$419$	−28.2118	−	10.2683i	−1.37824	−	0.501638i	−0.921644	+	0.388037i	$0.873153\pi$
$420$	13.0269	+	2.10187i	0.635649	+	0.102561i
$421$	−3.63038	+	20.5889i	−0.176934	+	1.00344i	0.758954	+	0.651144i	$0.225711\pi$
$421$	−3.63038	+	20.5889i	−0.176934	+	1.00344i	−0.935888	+	0.352298i	$0.885400\pi$
$422$		−	4.50422i		−	0.219262i
$423$	−18.3812	+	17.4135i	−0.893725	+	0.846674i
$424$	−5.49252			−0.266740
$425$	−16.8856	+	6.14586i	−0.819073	+	0.298118i
$426$	−17.3053	+	10.6987i	−0.838445	+	0.518354i
$427$	1.93310	+	2.37794i	0.0935490	+	0.115076i
$428$	−11.3687	−	13.5487i	−0.549526	−	0.654899i
$429$	−1.00264	+	0.208107i	−0.0484081	+	0.0100475i
$430$	−13.0163	+	15.5122i	−0.627703	+	0.748067i
$431$	−11.1402	+	6.43177i	−0.536602	+	0.309808i	−0.743701	−	0.668513i	$-0.766931\pi$
$431$	−11.1402	+	6.43177i	−0.536602	+	0.309808i	0.207098	+	0.978320i	$0.433598\pi$
$432$	−5.17775	−	0.436868i	−0.249115	−	0.0210188i
$433$		−	9.32591i		−	0.448174i	−0.974569	−	0.224087i	$-0.928060\pi$
$433$		−	9.32591i		−	0.448174i	0.974569	−	0.224087i	$-0.0719401\pi$
$434$	0.923318	−	4.79865i	0.0443207	−	0.230342i
$435$	3.61757	+	17.4292i	0.173449	+	0.835666i
$436$	1.19372	+	6.76993i	0.0571689	+	0.324221i
$437$	9.76756	−	8.19595i	0.467246	−	0.392066i
$438$	0.261333	+	8.67395i	0.0124870	+	0.414458i
$439$	10.0084	+	27.4980i	0.477677	+	1.31241i	0.911460	+	0.411390i	$0.134956\pi$
$439$	10.0084	+	27.4980i	0.477677	+	1.31241i	−0.433782	+	0.901018i	$0.642821\pi$
$440$	1.21988	−	2.11290i	0.0581556	−	0.100728i
$441$	9.96591	−	18.4846i	0.474567	−	0.880219i
$442$	1.90474	+	3.29911i	0.0905992	+	0.156922i
$443$	−9.79057	+	11.6680i	−0.465164	+	0.554361i	−0.946721	−	0.322054i	$-0.895627\pi$
$443$	−9.79057	+	11.6680i	−0.465164	+	0.554361i	0.481557	+	0.876415i	$0.340071\pi$
$444$	14.2083	+	2.06626i	0.674296	+	0.0980601i
$445$	−0.0671059	−	0.380576i	−0.00318112	−	0.0180410i
$446$	−13.0452	+	10.9462i	−0.617706	+	0.518317i
$447$	−27.0139	−	21.3146i	−1.27772	−	1.00815i
$448$	2.00006	+	1.73198i	0.0944941	+	0.0818282i
$449$	−10.2062	+	5.89254i	−0.481659	+	0.278086i	−0.721108	−	0.692823i	$-0.756367\pi$
$449$	−10.2062	+	5.89254i	−0.481659	+	0.278086i	0.239449	+	0.970909i	$0.423033\pi$
$450$	−8.83292	−	4.41328i	−0.416388	−	0.208044i
$451$		−	8.63865i		−	0.406778i
$452$	1.10879	+	0.195509i	0.0521531	+	0.00919599i
$453$	−10.5487	+	6.52158i	−0.495623	+	0.306411i
$454$	−21.7368	+	3.83278i	−1.02016	+	0.179881i
$455$	1.89561	−	4.96637i	0.0888674	−	0.232827i
$456$	−10.7032	+	2.22154i	−0.501224	+	0.104033i
$457$	0.549471	−	3.11621i	0.0257032	−	0.145770i	−0.969255	−	0.246057i	$-0.920865\pi$
$457$	0.549471	−	3.11621i	0.0257032	−	0.145770i	0.994959	+	0.100287i	$0.0319761\pi$
$458$	13.7052	+	23.7381i	0.640403	+	1.10921i
$459$	−2.55985	−	28.2529i	−0.119484	−	1.31873i
$460$	5.03805	+	2.90872i	0.234900	+	0.135620i
$461$	4.76981	−	1.73607i	0.222152	−	0.0808567i	−0.228546	−	0.973533i	$-0.573397\pi$
$461$	4.76981	−	1.73607i	0.222152	−	0.0808567i	0.450698	+	0.892676i	$0.351175\pi$
$462$	−2.53886	−	2.93773i	−0.118119	−	0.136676i
$463$	−18.4339	+	15.4679i	−0.856696	+	0.718853i	−0.961254	−	0.275666i	$-0.911102\pi$
$463$	−18.4339	+	15.4679i	−0.856696	+	0.718853i	0.104558	+	0.994519i	$0.466657\pi$
$464$	−1.22071	+	3.35389i	−0.0566703	+	0.155700i
$465$	−4.36349	+	8.11261i	−0.202352	+	0.376213i
$466$	−1.45130	+	8.23073i	−0.0672302	+	0.381281i
$467$	12.0620	+	20.8920i	0.558164	+	0.966768i	0.997650	+	0.0685187i	$0.0218273\pi$
$467$	12.0620	+	20.8920i	0.558164	+	0.966768i	−0.439486	+	0.898249i	$0.644839\pi$
$468$	−0.596230	+	2.00659i	−0.0275607	+	0.0927547i
$469$	9.87386	+	17.7335i	0.455932	+	0.818856i
$470$	−23.9335	−	4.22012i	−1.10397	−	0.194659i
$471$	30.3757	+	23.9671i	1.39964	+	1.10435i
$472$	2.93689	−	0.517852i	0.135181	−	0.0238361i
$473$	5.86806	−	1.03470i	0.269814	−	0.0475754i
$474$	2.21267	−	15.2151i	0.101631	−	0.698853i
$475$	−20.4569	−	3.60710i	−0.938627	−	0.165505i
$476$	−7.41600	+	12.3955i	−0.339912	+	0.568147i
$477$	9.81246	−	13.2373i	0.449282	−	0.606094i
$478$	8.72920	+	15.1194i	0.399264	+	0.691546i
$479$	−1.43324	+	8.12828i	−0.0654862	+	0.371391i	0.934399	+	0.356229i	$0.115938\pi$
$479$	−1.43324	+	8.12828i	−0.0654862	+	0.371391i	−0.999885	+	0.0151622i	$0.995174\pi$
$480$	−2.62264	−	4.24215i	−0.119706	−	0.193627i
$481$	1.97828	−	5.43528i	0.0902018	−	0.247827i
$482$	17.8949	−	15.0156i	0.815089	−	0.683941i
$483$	7.00481	−	6.05374i	0.318730	−	0.275455i
$484$	9.66200	−	3.51668i	0.439182	−	0.159849i
$485$	28.3058	+	16.3424i	1.28530	+	0.742068i
$486$	10.3030	−	11.6982i	0.467354	−	0.530642i
$487$	4.98163	+	8.62844i	0.225739	+	0.390992i	0.956541	−	0.291598i	$-0.0941869\pi$
$487$	4.98163	+	8.62844i	0.225739	+	0.390992i	−0.730802	+	0.682590i	$0.760854\pi$
$488$	0.201135	−	1.14069i	0.00910494	−	0.0516367i
$489$	12.0468	−	36.4810i	0.544775	−	1.64973i
$490$	19.9494	−	2.88093i	0.901220	−	0.130147i
$491$	−23.6973	+	4.17848i	−1.06945	+	0.188572i	−0.680544	−	0.732707i	$-0.738257\pi$
$491$	−23.6973	+	4.17848i	−1.06945	+	0.188572i	−0.388902	+	0.921279i	$0.627145\pi$
$492$	−15.5523	−	8.36505i	−0.701152	−	0.377126i
$493$	−19.1898	−	3.38367i	−0.864264	−	0.152393i
$494$			4.40375i			0.198134i
$495$	2.91287	+	6.71470i	0.130924	+	0.301803i
$496$	−1.59954	+	0.923494i	−0.0718214	+	0.0414661i
$497$	−20.3446	+	23.4936i	−0.912578	+	1.05383i
$498$	4.66066	−	1.85713i	0.208849	−	0.0832198i
$499$	−10.0881	+	8.46491i	−0.451605	+	0.378941i	−0.840031	−	0.542538i	$-0.817463\pi$
$499$	−10.0881	+	8.46491i	−0.451605	+	0.378941i	0.388426	+	0.921480i	$0.373019\pi$
$500$	0.854346	+	4.84524i	0.0382075	+	0.216686i
$501$	−1.26674	−	3.17902i	−0.0565937	−	0.142028i
$502$	−16.3128	+	19.4408i	−0.728074	+	0.867685i
$503$	−11.4535	−	19.8381i	−0.510688	−	0.884538i	−0.999923	−	0.0123861i	$-0.996057\pi$
$503$	−11.4535	−	19.8381i	−0.510688	−	0.884538i	0.489235	−	0.872152i	$-0.337276\pi$
$504$	−7.74730	+	1.72607i	−0.345092	+	0.0768852i
$505$	−27.9850	+	48.4714i	−1.24531	+	2.15695i
$506$	−0.585472	−	1.60857i	−0.0260274	−	0.0715097i
$507$	−19.0875	−	10.2665i	−0.847706	−	0.455952i
$508$	−13.0918	+	10.9853i	−0.580853	+	0.487394i
$509$	2.48516	+	14.0940i	0.110153	+	0.624706i	0.989037	+	0.147671i	$0.0471776\pi$
$509$	2.48516	+	14.0940i	0.110153	+	0.624706i	−0.878884	+	0.477036i	$0.841711\pi$
$510$	20.3220	−	18.1226i	0.899872	−	0.802481i
$511$	4.33940	+	12.5253i	0.191964	+	0.554086i
$512$		−	1.00000i		−	0.0441942i
$513$	13.7674	−	29.7642i	0.607845	−	1.31412i
$514$	21.1232	−	12.1955i	0.931705	−	0.537920i
$515$	−8.37008	+	9.97507i	−0.368830	+	0.439554i
$516$	3.81942	−	11.5663i	0.168141	−	0.509177i
$517$	4.59668	+	5.47811i	0.202162	+	0.240927i
$518$	21.6553	−	3.47199i	0.951478	−	0.152550i
$519$	−10.3555	−	5.56986i	−0.454555	−	0.244490i
$520$	−1.88803	+	0.687186i	−0.0827955	+	0.0301351i
$521$	5.01279			0.219614			0.109807	−	0.993953i	$-0.464977\pi$
$521$	5.01279			0.219614			0.109807	+	0.993953i	$0.464977\pi$
$522$	−5.90224	−	8.93375i	−0.258334	−	0.391020i
$523$		−	8.15575i		−	0.356626i	−0.983974	−	0.178313i	$-0.942936\pi$
$523$		−	8.15575i		−	0.356626i	0.983974	−	0.178313i	$-0.0570639\pi$
$524$	−2.91454	+	16.5292i	−0.127322	+	0.722082i
$525$	−14.8903	−	2.40253i	−0.649867	−	0.104855i
$526$	5.44397	+	1.98144i	0.237368	+	0.0863950i
$527$	−6.48167	−	7.72456i	−0.282346	−	0.336487i
$528$	−0.211199	+	1.45228i	−0.00919128	+	0.0632025i
$529$	−17.7774	+	6.47045i	−0.772931	+	0.281324i
$530$	15.8156			0.686984
$531$	−3.99873	+	8.00321i	−0.173530	+	0.347310i
$532$	−14.5889	+	8.12300i	−0.632510	+	0.352177i
$533$	−4.57286	+	5.44973i	−0.198073	+	0.236054i
$534$	0.122237	+	0.197720i	0.00528971	+	0.00855618i
$535$	32.7358	+	39.0130i	1.41529	+	1.68668i
$536$	2.62383	−	7.20890i	0.113332	−	0.311377i
$537$	33.4550	+	11.0475i	1.44369	+	0.476737i
$538$	−5.67773	−	15.5994i	−0.244784	−	0.672539i
$539$	−5.04172	−	3.12388i	−0.217162	−	0.134555i
$540$	14.9092	+	1.25795i	0.641590	+	0.0541335i
$541$	−1.98352	+	3.43557i	−0.0852784	+	0.147707i	−0.905510	−	0.424325i	$-0.860511\pi$
$541$	−1.98352	+	3.43557i	−0.0852784	+	0.147707i	0.820231	+	0.572032i	$0.193845\pi$
$542$	−11.0162	−	9.24367i	−0.473185	−	0.397050i
$543$	−3.50858	−	1.15860i	−0.150567	−	0.0497204i
$544$	5.37659	−	0.948039i	0.230520	−	0.0406468i
$545$	−3.43729	−	19.4938i	−0.147237	−	0.835024i
$546$	0.0465656	+	3.19723i	0.00199282	+	0.136829i
$547$	19.8622	+	16.6664i	0.849247	+	0.712603i	0.959624	−	0.281287i	$-0.0907613\pi$
$547$	19.8622	+	16.6664i	0.849247	+	0.712603i	−0.110377	+	0.993890i	$0.535206\pi$
$548$	−3.27135	+	1.88872i	−0.139745	+	0.0806820i
$549$	2.38980	+	2.52261i	0.101994	+	0.107662i
$550$	−1.39438	+	2.41513i	−0.0594565	+	0.102982i
$551$	−17.2556	−	14.4791i	−0.735112	−	0.616832i
$552$	−3.46286	−	0.503590i	−0.147389	−	0.0214342i
$553$	−3.71801	−	23.1898i	−0.158106	−	0.986129i
$554$	−9.34964	+	25.6879i	−0.397228	+	1.09137i
$555$	−40.9124	−	5.94973i	−1.73664	−	0.252552i
$556$	−7.90160	−	21.7095i	−0.335103	−	0.920687i
$557$	−24.2080	−	13.9765i	−1.02572	−	0.592202i	−0.109968	−	0.993935i	$-0.535075\pi$
$557$	−24.2080	−	13.9765i	−1.02572	−	0.592202i	−0.915757	+	0.401733i	$0.868408\pi$
$558$	0.631921	−	5.50481i	0.0267514	−	0.233037i
$559$	−4.24960	−	2.45351i	−0.179739	−	0.103772i
$560$	−5.75913	−	4.98718i	−0.243368	−	0.210747i
$561$	−8.00856	+	0.241286i	−0.338122	+	0.0101871i
$562$	−0.0312702	−	0.0113814i	−0.00131906	−	0.000480097i
$563$	22.2270	+	8.08998i	0.936758	+	0.340952i	0.764885	−	0.644167i	$-0.222796\pi$
$563$	22.2270	+	8.08998i	0.936758	+	0.340952i	0.171873	+	0.985119i	$0.445018\pi$
$564$	14.3134	−	2.97086i	0.602703	−	0.125096i
$565$	−3.19273	−	0.562964i	−0.134319	−	0.0236841i
$566$	2.36694			0.0994900
$567$	9.68073	−	21.7551i	0.406552	−	0.913628i
$568$	11.7464			0.492870
$569$	1.95815	+	0.345275i	0.0820901	+	0.0144747i	0.214542	−	0.976715i	$-0.431174\pi$
$569$	1.95815	+	0.345275i	0.0820901	+	0.0144747i	−0.132452	+	0.991189i	$0.542285\pi$
$570$	30.8196	−	6.39687i	1.29089	−	0.267935i
$571$	−12.5349	−	4.56233i	−0.524569	−	0.190927i	0.0661428	−	0.997810i	$-0.478931\pi$
$571$	−12.5349	−	4.56233i	−0.524569	−	0.190927i	−0.590712	+	0.806883i	$0.701153\pi$
$572$	0.555560	+	0.202207i	0.0232291	+	0.00845471i
$573$	−12.2144	+	0.368001i	−0.510263	+	0.0153735i
$574$	−26.4890	−	5.09681i	−1.10563	−	0.212737i
$575$	−5.75871	−	3.32479i	−0.240155	−	0.138653i
$576$	2.41006	+	1.78651i	0.100419	+	0.0744380i
$577$	22.6787	+	13.0936i	0.944128	+	0.545093i	0.891252	−	0.453509i	$-0.149828\pi$
$577$	22.6787	+	13.0936i	0.944128	+	0.545093i	0.0528760	+	0.998601i	$0.483161\pi$
$578$	4.38010	+	12.0342i	0.182188	+	0.500558i
$579$	12.3362	+	1.79401i	0.512676	+	0.0745564i
$580$	3.51501	−	9.65742i	0.145953	−	0.401003i
$581$	5.94662	−	4.83418i	0.246707	−	0.200556i
$582$	−19.4557	−	2.82937i	−0.806467	−	0.117281i
$583$	−3.56501	−	2.99140i	−0.147648	−	0.123891i
$584$	2.50509	−	4.33894i	0.103661	−	0.179547i
$585$	1.71683	−	5.77792i	0.0709821	−	0.238888i
$586$	3.21172	−	1.85429i	0.132675	−	0.0765998i
$587$	8.84295	+	7.42011i	0.364988	+	0.306261i	0.806775	−	0.590859i	$-0.201211\pi$
$587$	8.84295	+	7.42011i	0.364988	+	0.306261i	−0.441787	+	0.897120i	$0.645655\pi$
$588$	−10.5060	+	6.05175i	−0.433261	+	0.249570i
$589$	−2.02417	−	11.4796i	−0.0834045	−	0.473010i
$590$	−8.45668	+	1.49114i	−0.348156	+	0.0613893i
$591$	−21.5490	−	7.11593i	−0.886409	−	0.292710i
$592$	−6.35009	−	5.32836i	−0.260987	−	0.218994i
$593$	−16.8475	+	29.1808i	−0.691845	+	1.19831i	0.279387	+	0.960178i	$0.409869\pi$
$593$	−16.8475	+	29.1808i	−0.691845	+	1.19831i	−0.971233	+	0.238133i	$0.923465\pi$
$594$	−3.12277	−	3.10352i	−0.128129	−	0.127339i
$595$	21.3542	−	35.6925i	0.875436	−	1.46325i
$596$	6.79484	+	18.6687i	0.278327	+	0.764698i
$597$	16.1664	+	5.33848i	0.661647	+	0.218489i
$598$	−0.482148	+	1.32469i	−0.0197165	+	0.0541707i
$599$	6.12301	+	7.29712i	0.250179	+	0.298152i	0.876489	−	0.481422i	$-0.159880\pi$
$599$	6.12301	+	7.29712i	0.250179	+	0.298152i	−0.626309	+	0.779575i	$0.715435\pi$
$600$	2.99779	+	4.84896i	0.122384	+	0.197958i
$601$	−14.6784	+	17.4931i	−0.598746	+	0.713557i	−0.977262	−	0.212037i	$-0.931990\pi$
$601$	−14.6784	+	17.4931i	−0.598746	+	0.713557i	0.378516	+	0.925595i	$0.376435\pi$
$602$	0.289427	−	18.6039i	0.0117962	−	0.758239i
$603$	12.6864	+	19.2024i	0.516629	+	0.781981i
$604$	7.16024			0.291346
$605$	−27.8215	+	10.1262i	−1.13110	+	0.411688i
$606$	4.84506	−	33.3164i	0.196817	−	1.35339i
$607$	4.45201	+	5.30570i	0.180702	+	0.215352i	0.848790	−	0.528730i	$-0.177332\pi$
$607$	4.45201	+	5.30570i	0.180702	+	0.215352i	−0.668088	+	0.744082i	$0.732887\pi$
$608$	5.93060	+	2.15856i	0.240518	+	0.0875413i
$609$	−12.6811	−	10.3297i	−0.513862	−	0.418582i
$610$	−0.579162	+	3.28459i	−0.0234496	+	0.132989i
$611$		−	5.88913i		−	0.238249i
$612$	−7.32052	+	14.6516i	−0.295915	+	0.592255i
$613$	7.85514			0.317266			0.158633	−	0.987338i	$-0.449291\pi$
$613$	7.85514			0.317266			0.158633	+	0.987338i	$0.449291\pi$
$614$	5.17207	−	1.88248i	0.208728	−	0.0759706i
$615$	44.7824	+	24.0869i	1.80580	+	0.971279i
$616$	0.354885	+	2.21347i	0.0142987	+	0.0891830i
$617$	−16.2850	−	19.4077i	−0.655609	−	0.781325i	0.331139	−	0.943582i	$-0.392567\pi$
$617$	−16.2850	−	19.4077i	−0.655609	−	0.781325i	−0.986749	+	0.162257i	$0.948123\pi$
$618$	2.45606	−	7.43764i	0.0987973	−	0.299186i
$619$	6.44483	−	7.68065i	0.259040	−	0.308712i	−0.620812	−	0.783959i	$-0.713197\pi$
$619$	6.44483	−	7.68065i	0.259040	−	0.308712i	0.879852	+	0.475248i	$0.157642\pi$
$620$	4.60582	−	2.65917i	0.184974	−	0.106795i
$621$	7.40013	−	7.44603i	0.296957	−	0.298799i
$622$			9.75575i			0.391170i
$623$	0.268424	+	0.232445i	0.0107542	+	0.00931270i
$624$	0.902001	−	0.804380i	0.0361089	−	0.0322010i
$625$	−5.31776	−	30.1585i	−0.212710	−	1.20634i
$626$	−10.7106	+	8.98723i	−0.428080	+	0.359202i
$627$	−8.15702	−	4.38738i	−0.325760	−	0.175215i
$628$	−7.64042	−	20.9919i	−0.304886	−	0.837668i
$629$	22.6283	−	39.1934i	0.902250	−	1.56274i
$630$	22.3081	−	4.97017i	0.888778	−	0.198016i
$631$	11.4911	+	19.9031i	0.457453	+	0.792331i	0.998826	−	0.0484514i	$-0.0154286\pi$
$631$	11.4911	+	19.9031i	0.457453	+	0.792331i	−0.541373	+	0.840783i	$0.682095\pi$
$632$	−5.70593	+	6.80006i	−0.226970	+	0.270492i
$633$	−2.88785	−	7.24737i	−0.114782	−	0.288057i
$634$	1.26679	+	7.18432i	0.0503107	+	0.285326i
$635$	37.6974	−	31.6319i	1.49598	−	1.25527i
$636$	−8.83756	+	3.52149i	−0.350432	+	0.139636i
$637$	1.52697	+	4.63954i	0.0605006	+	0.183825i
$638$	−2.61896	+	1.51205i	−0.103685	+	0.0598628i
$639$	−20.9852	+	28.3096i	−0.830160	+	1.11991i
$640$			2.87947i			0.113821i
$641$	−1.81559	−	0.320138i	−0.0717116	−	0.0126447i	0.137677	−	0.990477i	$-0.456036\pi$
$641$	−1.81559	−	0.320138i	−0.0717116	−	0.0126447i	−0.209389	+	0.977832i	$0.567147\pi$
$642$	−26.9790	−	14.5111i	−1.06478	−	0.572707i
$643$	23.9616	−	4.22507i	0.944952	−	0.166621i	0.320118	−	0.947378i	$-0.396278\pi$
$643$	23.9616	−	4.22507i	0.944952	−	0.166621i	0.624835	+	0.780757i	$0.285166\pi$
$644$	−5.27785	+	0.846196i	−0.207976	+	0.0333448i
$645$	−10.9979	+	33.3048i	−0.433043	+	1.31137i
$646$	−5.98327	+	33.9328i	−0.235409	+	1.33507i
$647$	−3.90792	−	6.76872i	−0.153636	−	0.266106i	0.778925	−	0.627117i	$-0.215765\pi$
$647$	−3.90792	−	6.76872i	−0.153636	−	0.266106i	−0.932562	+	0.361011i	$0.882432\pi$
$648$	−8.61119	+	2.61675i	−0.338280	+	0.102796i
$649$	2.18827	+	1.26340i	0.0858972	+	0.0495928i
$650$	2.15810	−	0.785483i	0.0846475	−	0.0308092i
$651$	−1.59098	−	8.31308i	−0.0623555	−	0.325815i
$652$	−16.9916	+	14.2577i	−0.665444	+	0.558374i
$653$	−15.4205	+	42.3676i	−0.603452	+	1.65797i	0.140772	+	0.990042i	$0.455041\pi$
$653$	−15.4205	+	42.3676i	−0.603452	+	1.65797i	−0.744225	+	0.667929i	$0.767181\pi$
$654$	6.26121	+	10.1276i	0.244833	+	0.396020i
$655$	8.39235	−	47.5954i	0.327916	−	1.85971i
$656$	5.09778	+	8.82961i	0.199035	+	0.344738i
$657$	5.98173	+	13.7890i	0.233369	+	0.537960i
$658$	19.5098	−	10.8629i	0.760570	−	0.423479i
$659$	3.07698	+	0.542555i	0.119862	+	0.0211349i	0.233257	−	0.972415i	$-0.425062\pi$
$659$	3.07698	+	0.542555i	0.119862	+	0.0211349i	−0.113395	+	0.993550i	$0.536173\pi$
$660$	0.608143	−	4.18181i	0.0236719	−	0.162777i
$661$	41.4322	−	7.30561i	1.61152	−	0.284155i	0.705924	−	0.708288i	$-0.250532\pi$
$661$	41.4322	−	7.30561i	1.61152	−	0.284155i	0.905600	+	0.424133i	$0.139421\pi$
$662$	−27.8126	+	4.90411i	−1.08097	+	0.190604i
$663$	5.17996	+	4.08711i	0.201173	+	0.158730i
$664$	−2.85258	−	0.502987i	−0.110702	−	0.0195197i
$665$	42.0084	−	23.3899i	1.62902	−	0.907023i
$666$	24.1862	−	5.78491i	0.937195	−	0.224161i
$667$	−3.60539	−	6.24471i	−0.139601	−	0.241796i
$668$	−0.343086	+	1.94574i	−0.0132744	+	0.0752828i
$669$	−13.9718	+	25.9764i	−0.540182	+	1.00431i
$670$	−7.55523	+	20.7578i	−0.291884	+	0.801945i
$671$	0.751806	−	0.630840i	0.0290232	−	0.0243533i
$672$	4.32858	+	1.50446i	0.166979	+	0.0580357i
$673$	−20.9025	+	7.60789i	−0.805733	+	0.293263i	−0.711860	−	0.702322i	$-0.752147\pi$
$673$	−20.9025	+	7.60789i	−0.805733	+	0.293263i	−0.0938727	+	0.995584i	$0.529925\pi$
$674$	0.255525	+	0.147527i	0.00984246	+	0.00568254i
$675$	−17.0419	−	1.43789i	−0.655941	−	0.0553444i
$676$	6.25656	+	10.8367i	0.240637	+	0.416795i
$677$	1.24402	−	7.05518i	0.0478115	−	0.271153i	−0.951525	−	0.307571i	$-0.900484\pi$
$677$	1.24402	−	7.05518i	0.0478115	−	0.271153i	0.999337	+	0.0364185i	$0.0115949\pi$
$678$	1.90941	−	0.396314i	0.0733305	−	0.0152203i
$679$	−29.6530	+	4.75427i	−1.13798	+	0.182452i
$680$	−15.4818	+	2.72985i	−0.593698	+	0.104685i
$681$	−32.5175	+	20.1034i	−1.24607	+	0.770364i
$682$	−1.54117	−	0.271750i	−0.0590144	−	0.0104058i
$683$			9.45860i			0.361923i	0.983490	+	0.180962i	$0.0579210\pi$
$683$			9.45860i			0.361923i	−0.983490	+	0.180962i	$0.942079\pi$
$684$	−15.7973	+	10.4368i	−0.604027	+	0.399061i
$685$	9.41977	−	5.43851i	0.359911	−	0.207795i
$686$	−12.5535	+	13.6165i	−0.479294	+	0.519882i
$687$	37.2714	+	29.4081i	1.42199	+	1.12199i
$688$	−5.38718	+	4.52038i	−0.205384	+	0.172338i
$689$	0.665506	+	3.77427i	0.0253538	+	0.143788i
$690$	9.97122	+	1.45007i	0.379598	+	0.0552033i
$691$	−0.0110617	+	0.0131828i	−0.000420806	+	0.000501497i	−0.766255	−	0.642537i	$-0.777882\pi$
$691$	−0.0110617	+	0.0131828i	−0.000420806	+	0.000501497i	0.765834	+	0.643038i	$0.222326\pi$
$692$	3.39435	+	5.87918i	0.129034	+	0.223493i
$693$	−5.96858	−	3.09909i	−0.226728	−	0.117725i
$694$	2.58789	−	4.48235i	0.0982349	−	0.170148i
$695$	22.7524	+	62.5118i	0.863049	+	2.37121i
$696$	0.186168	+	6.17911i	0.00705666	+	0.234219i
$697$	−42.6404	+	35.7795i	−1.61512	+	1.35525i
$698$	−3.07627	−	17.4464i	−0.116439	−	0.660356i
$699$	2.94190	+	14.1739i	0.111273	+	0.536105i
$700$	6.58293	+	5.70056i	0.248811	+	0.215461i
$701$		−	18.0981i		−	0.683556i	−0.939781	−	0.341778i	$-0.888971\pi$
$701$		−	18.0981i		−	0.683556i	0.939781	−	0.341778i	$-0.111029\pi$
$702$	0.327166	+	3.61091i	0.0123481	+	0.136285i
$703$	45.3075	−	26.1583i	1.70880	−	0.986578i
$704$	0.544631	−	0.649066i	0.0205266	−	0.0244626i
$705$	−41.2151	+	8.55452i	−1.55225	+	0.322182i
$706$	15.9273	+	18.9814i	0.599431	+	0.714374i
$707$	−8.14130	−	50.7784i	−0.306185	−	1.90972i
$708$	4.39348	−	2.71620i	0.165117	−	0.102081i
$709$	−13.4049	+	4.87897i	−0.503430	+	0.183234i	−0.581236	−	0.813735i	$-0.697431\pi$
$709$	−13.4049	+	4.87897i	−0.503430	+	0.183234i	0.0778061	+	0.996969i	$0.475209\pi$
$710$	−33.8235			−1.26937
$711$	−6.19482	−	25.9000i	−0.232324	−	0.971326i
$712$		−	0.134208i		−	0.00502965i
$713$	0.647968	−	3.67481i	0.0242666	−	0.137623i
$714$	−3.98519	+	24.6993i	−0.149142	+	0.924348i
$715$	−1.59972	−	0.582250i	−0.0598261	−	0.0217749i
$716$	−13.0750	−	15.5822i	−0.488637	−	0.582335i
$717$	23.7391	+	18.7307i	0.886554	+	0.699512i
$718$	5.50126	−	2.00229i	0.205305	−	0.0747249i
$719$	17.8311			0.664987			0.332493	−	0.943106i	$-0.392110\pi$
$719$	17.8311			0.664987			0.332493	+	0.943106i	$0.392110\pi$
$720$	−6.93969	−	5.14421i	−0.258627	−	0.191713i
$721$	0.186115	−	11.9632i	0.00693127	−	0.445531i
$722$	−13.3902	+	15.9578i	−0.498331	+	0.593887i
$723$	19.1660	−	35.6335i	0.712792	−	1.32522i
$724$	1.37124	+	1.63418i	0.0509616	+	0.0607337i
$725$	−4.01781	+	11.0388i	−0.149218	+	0.409972i
$726$	13.2916	−	11.8531i	0.493299	−	0.439911i
$727$	11.8350	+	32.5165i	0.438937	+	1.20597i	0.940184	+	0.340666i	$0.110652\pi$
$727$	11.8350	+	32.5165i	0.438937	+	1.20597i	−0.501247	+	0.865304i	$0.667125\pi$
$728$	0.947816	−	1.58423i	0.0351284	−	0.0587155i
$729$	9.07748	−	25.4283i	0.336203	−	0.941790i
$730$	−7.21334	+	12.4939i	−0.266978	+	0.462419i
$731$	−29.4115	−	24.6792i	−1.08782	−	0.912793i
$732$	−0.407717	−	1.96435i	−0.0150696	−	0.0726044i
$733$	52.0934	−	9.18548i	1.92411	−	0.339273i	0.924948	−	0.380094i	$-0.124108\pi$
$733$	52.0934	−	9.18548i	1.92411	−	0.339273i	0.999167	+	0.0408202i	$0.0129971\pi$
$734$	2.45644	+	13.9311i	0.0906687	+	0.514208i
$735$	30.2518	−	17.4258i	1.11585	−	0.642762i
$736$	1.54765	+	1.29863i	0.0570472	+	0.0478683i
$737$	5.62923	−	3.25004i	0.207355	−	0.119717i
$738$	−30.3871	−	3.48827i	−1.11857	−	0.128405i
$739$	−17.1824	+	29.7608i	−0.632065	+	1.09477i	0.355064	+	0.934842i	$0.384459\pi$
$739$	−17.1824	+	29.7608i	−0.632065	+	1.09477i	−0.987129	+	0.159926i	$0.948874\pi$
$740$	18.2849	+	15.3429i	0.672167	+	0.564015i
$741$	2.82343	+	7.08571i	0.103721	+	0.260300i
$742$	−11.2760	+	9.16660i	−0.413955	+	0.336516i
$743$	17.7261	−	48.7022i	0.650309	−	1.78671i	0.0337120	−	0.999432i	$-0.489267\pi$
$743$	17.7261	−	48.7022i	0.650309	−	1.78671i	0.616597	−	0.787279i	$-0.288511\pi$
$744$	−1.98159	+	2.51145i	−0.0726487	+	0.0920742i
$745$	−19.5655	−	53.7559i	−0.716826	−	1.96946i
$746$	−26.1193	−	15.0800i	−0.956294	−	0.552117i
$747$	6.30840	−	5.97629i	0.230812	−	0.218661i
$748$	4.00610	+	2.31292i	0.146477	+	0.0845688i
$749$	−45.9513	−	8.84158i	−1.67902	−	0.323064i
$750$	4.48114	+	7.24831i	0.163628	+	0.264671i
$751$	22.4630	+	8.17588i	0.819688	+	0.298342i	0.717620	−	0.696435i	$-0.245232\pi$
$751$	22.4630	+	8.17588i	0.819688	+	0.298342i	0.102068	+	0.994777i	$0.467454\pi$
$752$	−7.93099	−	2.88664i	−0.289213	−	0.105265i
$753$	−13.7832	+	41.7394i	−0.502288	+	1.52107i
$754$	2.45258	+	0.432457i	0.0893178	+	0.0157491i
$755$	−20.6177			−0.750355
$756$	−11.3589	+	7.74440i	−0.413119	+	0.281661i
$757$	15.6345			0.568244			0.284122	−	0.958788i	$-0.408298\pi$
$757$	15.6345			0.568244			0.284122	+	0.958788i	$0.408298\pi$
$758$	19.5006	+	3.43849i	0.708294	+	0.124891i
$759$	−1.97336	−	2.21285i	−0.0716283	−	0.0803212i
$760$	−17.0770	−	6.21552i	−0.619448	−	0.225461i
$761$	−42.3451	−	15.4124i	−1.53501	−	0.558698i	−0.570167	−	0.821529i	$-0.693122\pi$
$761$	−42.3451	−	15.4124i	−1.53501	−	0.558698i	−0.964842	+	0.262831i	$0.915344\pi$
$762$	−14.0217	+	26.0692i	−0.507954	+	0.944389i
$763$	13.7492	+	11.9063i	0.497754	+	0.431035i
$764$	6.10996	+	3.52759i	0.221051	+	0.127624i
$765$	21.0792	−	42.1888i	0.762122	−	1.52534i
$766$	−15.2600	−	8.81034i	−0.551365	−	0.318331i
$767$	−0.711700	−	1.95538i	−0.0256980	−	0.0706047i
$768$	−0.641142	−	1.60902i	−0.0231352	−	0.0580604i
$769$	5.42624	−	14.9085i	0.195675	−	0.537613i	−0.802588	−	0.596534i	$-0.796544\pi$
$769$	5.42624	−	14.9085i	0.195675	−	0.537613i	0.998263	+	0.0589215i	$0.0187662\pi$
$770$	−1.02188	−	6.37361i	−0.0368260	−	0.229689i
$771$	26.1686	−	33.1658i	0.942438	−	1.19444i
$772$	−5.51341	−	4.62630i	−0.198432	−	0.166504i
$773$	11.0507	−	19.1404i	0.397468	−	0.688434i	−0.595945	−	0.803025i	$-0.703222\pi$
$773$	11.0507	−	19.1404i	0.397468	−	0.688434i	0.993413	+	0.114591i	$0.0365558\pi$
$774$	−1.27011	−	21.0591i	−0.0456533	−	0.756955i
$775$	−5.26465	+	3.03955i	−0.189112	+	0.109184i
$776$	8.69532	+	7.29624i	0.312144	+	0.261920i
$777$	32.6177	−	19.4706i	1.17015	−	0.698504i
$778$	−0.160910	−	0.912563i	−0.00576889	−	0.0327170i
$779$	−63.3688	+	11.1736i	−2.27042	+	0.400337i
$780$	−2.59729	+	2.31619i	−0.0929978	+	0.0829329i
$781$	7.62422	+	6.39748i	0.272816	+	0.228920i
$782$	−5.51499	+	9.55225i	−0.197216	+	0.341588i
$783$	−15.2246	−	10.5904i	−0.544083	−	0.378469i
$784$	6.99661	+	0.217750i	0.249879	+	0.00777678i
$785$	22.0004	+	60.4456i	0.785227	+	2.15739i
$786$	5.90802	+	28.4644i	0.210732	+	1.01529i
$787$	−13.2634	+	36.4410i	−0.472790	+	1.29898i	0.442711	+	0.896664i	$0.354017\pi$
$787$	−13.2634	+	36.4410i	−0.472790	+	1.29898i	−0.915501	+	0.402316i	$0.868205\pi$
$788$	8.42189	+	10.0368i	0.300017	+	0.357547i
$789$	10.0298	−	0.302184i	0.357071	−	0.0107580i
$790$	16.4301	−	19.5806i	0.584555	−	0.696646i
$791$	2.60260	−	1.44911i	0.0925379	−	0.0515244i
$792$	0.591296	+	2.47216i	0.0210108	+	0.0878443i
$793$	−0.808215			−0.0287005
$794$	−24.6795	+	8.98262i	−0.875844	+	0.318781i
$795$	25.4475	−	10.1400i	0.902530	−	0.359630i
$796$	−6.31822	−	7.52977i	−0.223943	−	0.266885i
$797$	33.0538	+	12.0306i	1.17082	+	0.426145i	0.852952	−	0.521989i	$-0.174810\pi$
$797$	33.0538	+	12.0306i	1.17082	+	0.426145i	0.317872	+	0.948134i	$0.397032\pi$
$798$	−18.2658	+	22.4236i	−0.646604	+	0.793788i
$799$	8.00143	−	45.3783i	0.283070	−	1.60537i
$800$		−	3.29136i		−	0.116367i
$801$	0.323448	+	0.239764i	0.0114285	+	0.00847163i
$802$	−0.106844			−0.00377279
$803$	3.98909	−	1.45191i	0.140772	−	0.0512369i
$804$	−0.400152	−	13.2815i	−0.0141123	−	0.468402i
$805$	15.1974	−	2.43660i	0.535638	−	0.0858788i
$806$	0.828402	+	0.987251i	0.0291792	+	0.0347744i
$807$	−19.1370	−	21.4595i	−0.673655	−	0.755411i
$808$	−12.4942	+	14.8900i	−0.439545	+	0.523830i
$809$	−17.9127	+	10.3419i	−0.629778	+	0.363602i	−0.780666	−	0.624948i	$-0.785120\pi$
$809$	−17.9127	+	10.3419i	−0.629778	+	0.363602i	0.150888	+	0.988551i	$0.451787\pi$
$810$	24.7957	−	7.53486i	0.871232	−	0.264748i
$811$			11.0037i			0.386391i	0.981160	+	0.193196i	$0.0618852\pi$
$811$			11.0037i			0.386391i	−0.981160	+	0.193196i	$0.938115\pi$
$812$	3.09128	+	8.92271i	0.108483	+	0.313126i
$813$	−23.6517	−	7.81029i	−0.829502	−	0.273919i
$814$	−1.21964	−	6.91692i	−0.0427483	−	0.242438i
$815$	48.9269	−	41.0546i	1.71384	−	1.43808i
$816$	8.04321	−	4.97257i	0.281569	−	0.174075i
$817$	−15.1800	−	41.7068i	−0.531082	−	1.45913i
$818$	15.6933	−	27.1815i	0.548702	−	0.950380i
$819$	2.12480	+	5.11454i	0.0742466	+	0.178716i
$820$	−14.6789	−	25.4246i	−0.512610	−	0.887866i
$821$	19.3675	−	23.0812i	0.675929	−	0.805541i	−0.313649	−	0.949539i	$-0.601551\pi$
$821$	19.3675	−	23.0812i	0.675929	−	0.805541i	0.989578	+	0.143998i	$0.0459959\pi$
$822$	−4.05273	+	5.13638i	−0.141355	+	0.179152i
$823$	1.71294	+	9.71456i	0.0597093	+	0.338628i	0.999998	−	0.00174834i	$-0.000556513\pi$
$823$	1.71294	+	9.71456i	0.0597093	+	0.338628i	−0.940289	+	0.340377i	$0.889445\pi$
$824$	−3.46420	+	2.90681i	−0.120681	+	0.101264i
$825$	−0.695134	+	4.77999i	−0.0242014	+	0.166418i
$826$	5.16509	−	5.96458i	0.179717	−	0.207534i
$827$	−28.6798	+	16.5583i	−0.997295	+	0.575788i	−0.907447	−	0.420167i	$-0.861971\pi$
$827$	−28.6798	+	16.5583i	−0.997295	+	0.575788i	−0.0898479	+	0.995956i	$0.528638\pi$
$828$	−5.89468	+	1.40990i	−0.204854	+	0.0489975i
$829$			13.7139i			0.476304i	0.971228	+	0.238152i	$0.0765417\pi$
$829$			13.7139i			0.476304i	−0.971228	+	0.238152i	$0.923458\pi$
$830$	8.21393	+	1.44834i	0.285110	+	0.0502725i
$831$	1.42588	+	47.3267i	0.0494634	+	1.64175i
$832$	−0.687165	+	0.121166i	−0.0238232	+	0.00420067i
$833$	5.46231	+	37.8244i	0.189258	+	1.31054i
$834$	−26.6327	−	29.8649i	−0.922214	−	1.03414i
$835$	0.987906	−	5.60269i	0.0341879	−	0.193889i
$836$	2.67373	+	4.63104i	0.0924730	+	0.160168i
$837$	−2.51259	−	9.26248i	−0.0868480	−	0.320158i
$838$	26.0002	+	15.0112i	0.898161	+	0.518553i
$839$	−11.3561	+	4.13327i	−0.392055	+	0.142696i	−0.530523	−	0.847671i	$-0.678004\pi$
$839$	−11.3561	+	4.13327i	−0.392055	+	0.142696i	0.138468	+	0.990367i	$0.455782\pi$
$840$	−12.4640	−	4.33204i	−0.430050	−	0.149470i
$841$	12.4569	−	10.4526i	0.429548	−	0.360433i
$842$	7.15045	−	19.6457i	0.246421	−	0.677036i
$843$	−0.0576115	+	0.00173575i	−0.00198424	+	5.97824e-5i
$844$	−0.782150	+	4.43579i	−0.0269227	+	0.152686i
$845$	−18.0156	−	31.2039i	−0.619755	−	1.07345i
$846$	21.1258	−	13.9571i	0.726319	−	0.479855i
$847$	13.9668	−	23.3448i	0.479903	−	0.802137i
$848$	5.40908	+	0.953766i	0.185749	+	0.0327525i
$849$	3.80845	−	1.51755i	0.130706	−	0.0520821i
$850$	17.6963	−	3.12034i	0.606978	−	0.107027i
$851$	16.4929	−	2.90814i	0.565369	−	0.0996898i
$852$	18.9002	−	7.53114i	0.647511	−	0.258013i
$853$	−5.06495	−	0.893087i	−0.173421	−	0.0305787i	0.0862635	−	0.996272i	$-0.472507\pi$
$853$	−5.06495	−	0.893087i	−0.173421	−	0.0305787i	−0.259684	+	0.965694i	$0.583618\pi$
$854$	−1.49080	−	2.67749i	−0.0510142	−	0.0916217i
$855$	45.4880	−	30.0524i	1.55566	−	1.02777i
$856$	8.84326	+	15.3170i	0.302256	+	0.523523i
$857$	1.87820	−	10.6518i	0.0641582	−	0.363859i	−0.935778	−	0.352589i	$-0.885301\pi$
$857$	1.87820	−	10.6518i	0.0641582	−	0.363859i	0.999936	−	0.0112702i	$-0.00358749\pi$
$858$	1.02355	−	0.0308380i	0.0349434	−	0.00105279i
$859$	17.5658	−	48.2616i	0.599337	−	1.64666i	−0.153262	−	0.988186i	$-0.548978\pi$
$859$	17.5658	−	48.2616i	0.599337	−	1.64666i	0.752599	−	0.658479i	$-0.228800\pi$
$860$	15.5122	−	13.0163i	0.528963	−	0.443853i
$861$	−45.8891	+	8.78238i	−1.56390	+	0.299303i
$862$	12.0878	−	4.39959i	0.411711	−	0.149851i
$863$	49.3380	+	28.4853i	1.67949	+	0.969651i	0.961989	+	0.273090i	$0.0880456\pi$
$863$	49.3380	+	28.4853i	1.67949	+	0.969651i	0.717497	+	0.696562i	$0.245288\pi$
$864$	5.02323	+	1.32934i	0.170894	+	0.0452250i
$865$	−9.77393	−	16.9289i	−0.332324	−	0.575601i
$866$	−1.61943	+	9.18423i	−0.0550304	+	0.312093i
$867$	14.7633	+	16.5550i	0.501388	+	0.562237i
$868$	−1.74257	+	4.56541i	−0.0591466	+	0.154960i
$869$	−7.40705	+	1.30606i	−0.251267	+	0.0443051i
$870$	−0.536064	−	17.7926i	−0.0181743	−	0.603225i
$871$	−5.27163	−	0.929530i	−0.178622	−	0.0314959i
$872$		−	6.87437i		−	0.232796i
$873$	−33.1187	+	7.92140i	−1.12090	+	0.268099i
$874$	−11.0424	+	6.37532i	−0.373514	+	0.215648i
$875$	9.84027	+	8.52130i	0.332662	+	0.288072i
$876$	1.24885	−	8.58756i	0.0421948	−	0.290147i
$877$	−33.6858	+	28.2657i	−1.13749	+	0.954466i	−0.999354	−	0.0359479i	$-0.988555\pi$
$877$	−33.6858	+	28.2657i	−1.13749	+	0.954466i	−0.138134	+	0.990414i	$0.544111\pi$
$878$	−5.08142	−	28.8182i	−0.171490	−	0.972566i
$879$	3.97885	−	5.04275i	0.134203	−	0.170088i
$880$	−1.56825	+	1.86897i	−0.0528657	+	0.0630029i
$881$	5.52087	+	9.56242i	0.186003	+	0.322166i	0.943914	−	0.330192i	$-0.107113\pi$
$881$	5.52087	+	9.56242i	0.186003	+	0.322166i	−0.757911	+	0.652358i	$0.773780\pi$
$882$	−13.0243	+	16.4732i	−0.438552	+	0.554682i
$883$	12.7525	−	22.0880i	0.429156	−	0.743320i	−0.567643	−	0.823275i	$-0.692144\pi$
$883$	12.7525	−	22.0880i	0.429156	−	0.743320i	0.996798	+	0.0799555i	$0.0254778\pi$
$884$	−1.30292	−	3.57974i	−0.0438219	−	0.120400i
$885$	−12.6509	+	7.82121i	−0.425256	+	0.262907i
$886$	11.6680	−	9.79057i	0.391993	−	0.328921i
$887$	−6.10649	−	34.6316i	−0.205036	−	1.16282i	−0.897383	−	0.441252i	$-0.854534\pi$
$887$	−6.10649	−	34.6316i	−0.205036	−	1.16282i	0.692347	−	0.721565i	$-0.256577\pi$
$888$	−13.6336	−	4.50211i	−0.457515	−	0.151081i
$889$	−8.54342	+	44.4017i	−0.286537	+	1.48918i
$890$			0.386447i			0.0129537i
$891$	−7.01440	−	2.99148i	−0.234991	−	0.100218i
$892$	14.7478	−	8.51462i	0.493791	−	0.285091i
$893$	34.2391	−	40.8045i	1.14577	−	1.36547i
$894$	22.9023	+	25.6817i	0.765967	+	0.858926i
$895$	37.6492	+	44.8686i	1.25848	+	1.49979i
$896$	−1.66892	−	2.05297i	−0.0557548	−	0.0685850i
$897$	0.0735310	+	2.44058i	0.00245513	+	0.0814885i
$898$	11.0743	−	4.03073i	0.369556	−	0.134507i
$899$	−6.59214			−0.219860
$900$	7.93237	+	5.88005i	0.264412	+	0.196002i
$901$			29.9866i			0.998999i
$902$	−1.50009	+	8.50741i	−0.0499474	+	0.283266i
$903$	−11.4621	−	30.1196i	−0.381434	−	1.00232i
$904$	−1.05799	−	0.385078i	−0.0351884	−	0.0128075i
$905$	−3.94844	−	4.70556i	−0.131251	−	0.156418i
$906$	11.5209	−	4.59073i	0.382758	−	0.152517i
$907$	−22.8839	+	8.32905i	−0.759846	+	0.276561i	−0.692743	−	0.721185i	$-0.743598\pi$
$907$	−22.8839	+	8.32905i	−0.759846	+	0.276561i	−0.0671034	+	0.997746i	$0.521376\pi$
$908$	22.0721			0.732489
$909$	−13.5648	−	56.7130i	−0.449914	−	1.88105i
$910$	−2.72921	+	4.56175i	−0.0904724	+	0.151220i
$911$	−7.04092	+	8.39104i	−0.233276	+	0.278008i	−0.869965	−	0.493113i	$-0.835859\pi$
$911$	−7.04092	+	8.39104i	−0.233276	+	0.278008i	0.636689	+	0.771120i	$0.280303\pi$
$912$	10.9264	−	0.329196i	0.361809	−	0.0109008i
$913$	−1.57757	−	1.88008i	−0.0522100	−	0.0622215i
$914$	−1.08225	+	2.97345i	−0.0357975	+	0.0983529i
$915$	1.17401	+	5.65629i	0.0388115	+	0.186991i
$916$	−9.37492	−	25.7574i	−0.309756	−	0.851048i
$917$	21.6025	+	38.7982i	0.713377	+	1.28123i
$918$	−2.38510	+	28.2681i	−0.0787200	+	0.932988i
$919$	−4.78929	+	8.29529i	−0.157984	+	0.273637i	−0.934142	−	0.356903i	$-0.883833\pi$
$919$	−4.78929	+	8.29529i	−0.157984	+	0.273637i	0.776157	+	0.630539i	$0.217166\pi$
$920$	−4.45642	−	3.73938i	−0.146924	−	0.123284i
$921$	7.11501	−	6.34497i	0.234447	−	0.209074i
$922$	−4.99881	+	0.881425i	−0.164627	+	0.0290282i
$923$	−1.42327	−	8.07174i	−0.0468474	−	0.265685i
$924$	1.99016	+	3.33397i	0.0654715	+	0.109680i
$925$	−20.9004	−	17.5376i	−0.687202	−	0.576631i
$926$	20.8398	−	12.0319i	0.684839	−	0.395392i
$927$	−0.816741	−	13.5420i	−0.0268253	−	0.444777i
$928$	1.78457	−	3.09096i	0.0585812	−	0.101466i
$929$	9.03995	+	7.58542i	0.296591	+	0.248870i	0.778924	−	0.627119i	$-0.215766\pi$
$929$	9.03995	+	7.58542i	0.296591	+	0.248870i	−0.482333	+	0.875988i	$0.660210\pi$
$930$	5.70594	−	7.23165i	0.187105	−	0.237135i
$931$	−16.3940	+	41.0241i	−0.537292	+	1.34451i
$932$	2.85850	−	7.85367i	0.0936334	−	0.257256i
$933$	6.25483	+	15.6972i	0.204774	+	0.513902i
$934$	−8.25091	−	22.6692i	−0.269978	−	0.741759i
$935$	−11.5354	−	6.65999i	−0.377249	−	0.217805i
$936$	0.935613	−	1.87257i	0.0305815	−	0.0612069i
$937$	7.70004	+	4.44562i	0.251549	+	0.145232i	0.620473	−	0.784227i	$-0.286940\pi$
$937$	7.70004	+	4.44562i	0.251549	+	0.145232i	−0.368924	+	0.929459i	$0.620274\pi$
$938$	−6.64446	−	19.1786i	−0.216949	−	0.626205i
$939$	−11.4714	+	21.3276i	−0.374355	+	0.696000i
$940$	22.8371	+	8.31201i	0.744863	+	0.271108i
$941$	−21.6726	−	7.88818i	−0.706507	−	0.257147i	−0.0363203	−	0.999340i	$-0.511564\pi$
$941$	−21.6726	−	7.88818i	−0.706507	−	0.257147i	−0.670186	+	0.742193i	$0.733786\pi$
$942$	−25.7524	−	28.8777i	−0.839057	−	0.940887i
$943$	−20.2853	−	3.57685i	−0.660581	−	0.116478i
$944$	−2.98219			−0.0970621
$945$	32.7076	−	22.2998i	1.06398	−	0.725412i
$946$	−5.95858			−0.193730
$947$	−15.5938	−	2.74960i	−0.506730	−	0.0893501i	−0.0855619	−	0.996333i	$-0.527269\pi$
$947$	−15.5938	−	2.74960i	−0.506730	−	0.0893501i	−0.421168	+	0.906983i	$0.638380\pi$
$948$	−4.82113	+	14.5997i	−0.156583	+	0.474177i
$949$	−3.28510	−	1.19568i	−0.106639	−	0.0388134i
$950$	19.5197	+	7.10460i	0.633304	+	0.230504i
$951$	6.64446	+	10.7475i	0.215461	+	0.348512i
$952$	9.45580	−	10.9194i	0.306464	−	0.353900i
$953$	33.6913	+	19.4517i	1.09137	+	0.630101i	0.933940	−	0.357429i	$-0.116347\pi$
$953$	33.6913	+	19.4517i	1.09137	+	0.630101i	0.157427	+	0.987531i	$0.449680\pi$
$954$	−11.9620	+	11.3323i	−0.387285	+	0.366896i
$955$	−17.5935	−	10.1576i	−0.569311	−	0.328692i
$956$	−5.97112	−	16.4055i	−0.193120	−	0.530593i
$957$	−3.24450	+	4.11205i	−0.104880	+	0.132924i
$958$	2.82292	−	7.75592i	0.0912045	−	0.250582i
$959$	−3.56388	+	9.33712i	−0.115084	+	0.301511i
$960$	1.84615	+	4.63312i	0.0595843	+	0.149533i
$961$	21.1341	+	17.7336i	0.681746	+	0.572053i
$962$	−2.89205	+	5.00918i	−0.0932435	+	0.161502i
$963$	−52.7134	−	6.05120i	−1.69866	−	0.194997i
$964$	−20.2304	+	11.6800i	−0.651578	+	0.376189i
$965$	15.8757	+	13.3213i	0.511057	+	0.428828i
$966$	−7.94961	+	4.74540i	−0.255775	+	0.152681i
$967$	−4.38055	−	24.8433i	−0.140869	−	0.798908i	−0.970592	−	0.240732i	$-0.922613\pi$
$967$	−4.38055	−	24.8433i	−0.140869	−	0.798908i	0.829723	−	0.558176i	$-0.188499\pi$
$968$	−10.1259	+	1.78547i	−0.325458	+	0.0573871i
$969$	12.1286	+	58.4346i	0.389626	+	1.87719i
$970$	−25.0379	−	21.0093i	−0.803920	−	0.674569i
$971$	−3.39219	+	5.87545i	−0.108861	+	0.188552i	−0.915309	−	0.402752i	$-0.868054\pi$
$971$	−3.39219	+	5.87545i	−0.108861	+	0.188552i	0.806448	+	0.591305i	$0.201387\pi$
$972$	−12.1778	+	9.73140i	−0.390605	+	0.312135i
$973$	−52.4532	−	31.3818i	−1.68157	−	1.00605i
$974$	−3.40764	−	9.36241i	−0.109188	−	0.299991i
$975$	2.96881	−	2.64750i	0.0950780	−	0.0847880i
$976$	−0.396158	+	1.08844i	−0.0126807	+	0.0348400i
$977$	27.1292	+	32.3313i	0.867940	+	1.03437i	0.999075	+	0.0430064i	$0.0136936\pi$
$977$	27.1292	+	32.3313i	0.867940	+	1.03437i	−0.131134	+	0.991365i	$0.541862\pi$
$978$	−18.1986	+	33.8349i	−0.581928	+	1.08192i
$979$	0.0730937	−	0.0871097i	0.00233608	−	0.00278404i
$980$	−20.1466	−	0.627004i	−0.643558	−	0.0200289i
$981$	16.5676	+	12.2811i	0.528964	+	0.392107i
$982$	24.0629			0.767878
$983$	3.67787	−	1.33864i	0.117306	−	0.0426958i	−0.282700	−	0.959208i	$-0.591230\pi$
$983$	3.67787	−	1.33864i	0.117306	−	0.0426958i	0.400006	+	0.916512i	$0.369008\pi$
$984$	13.8635	+	10.9386i	0.441951	+	0.348710i
$985$	−24.2506	−	28.9007i	−0.772688	−	0.920854i
$986$	18.3107	+	6.66454i	0.583130	+	0.212242i
$987$	24.4269	−	29.9871i	0.777516	−	0.954499i
$988$	0.764703	−	4.33685i	0.0243284	−	0.137973i
$989$		−	14.2078i		−	0.451782i
$990$	−1.70262	−	7.11851i	−0.0541129	−	0.226241i
$991$	9.66859			0.307133			0.153567	−	0.988138i	$-0.450924\pi$
$991$	9.66859			0.307133			0.153567	+	0.988138i	$0.450924\pi$
$992$	1.73560	−	0.631707i	0.0551054	−	0.0200567i
$993$	−41.6067	+	25.7226i	−1.32035	+	0.816283i
$994$	24.1151	−	19.6039i	0.764885	−	0.621798i
$995$	18.1931	+	21.6817i	0.576762	+	0.687358i
$996$	−4.91234	+	1.01960i	−0.155654	+	0.0323072i
$997$	4.44799	−	5.30091i	0.140869	−	0.167882i	−0.690997	−	0.722858i	$-0.742828\pi$
$997$	4.44799	−	5.30091i	0.140869	−	0.167882i	0.831866	+	0.554976i	$0.187273\pi$
$998$	11.4047	−	6.58453i	0.361011	−	0.208430i
$999$	35.2070	−	24.8148i	1.11390	−	0.785105i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	378.2.ba.a.47.1	✓	144
7.3	odd	6		378.2.bf.a.101.16	yes	144
27.23	odd	18		378.2.bf.a.131.16	yes	144
189.185	even	18	inner	378.2.ba.a.185.1	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
378.2.ba.a.47.1	✓	144	1.1	even	1	trivial
378.2.ba.a.185.1	yes	144	189.185	even	18	inner
378.2.bf.a.101.16	yes	144	7.3	odd	6
378.2.bf.a.131.16	yes	144	27.23	odd	18

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:	\( N \)	\(=\)	\( 378 = 2 \cdot 3^{3} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	378.ba (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.984808 - 0.173648i) q^{2} +(-1.69591 + 0.351999i) q^{3} +(0.939693 + 0.342020i) q^{4} +(-2.70582 - 0.984837i) q^{5} +(1.73127 - 0.0521605i) q^{6} +(2.49997 - 0.866117i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(2.75219 - 1.19391i) q^{9} +O(q^{10})\)	\(q+(-0.984808 - 0.173648i) q^{2} +(-1.69591 + 0.351999i) q^{3} +(0.939693 + 0.342020i) q^{4} +(-2.70582 - 0.984837i) q^{5} +(1.73127 - 0.0521605i) q^{6} +(2.49997 - 0.866117i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(2.75219 - 1.19391i) q^{9} +(2.49370 + 1.43974i) q^{10} +(-0.289792 - 0.796198i) q^{11} +(-1.71402 - 0.249263i) q^{12} +(-0.238650 + 0.655686i) q^{13} +(-2.61239 + 0.418844i) q^{14} +(4.93548 + 0.717746i) q^{15} +(0.766044 + 0.642788i) q^{16} +(-2.72977 + 4.72810i) q^{17} +(-2.91770 + 0.697863i) q^{18} +(-5.46567 + 3.15561i) q^{19} +(-2.20580 - 1.85089i) q^{20} +(-3.93484 + 2.34884i) q^{21} +(0.147131 + 0.834423i) q^{22} +(-1.98962 + 0.350824i) q^{23} +(1.64470 + 0.543113i) q^{24} +(2.52133 + 2.11565i) q^{25} +(0.348883 - 0.604283i) q^{26} +(-4.24720 + 2.99354i) q^{27} +(2.64543 + 0.0411558i) q^{28} +(1.22071 + 3.35389i) q^{29} +(-4.73586 - 1.56388i) q^{30} +(-0.631707 + 1.73560i) q^{31} +(-0.642788 - 0.766044i) q^{32} +(0.771721 + 1.24827i) q^{33} +(3.50932 - 4.18225i) q^{34} +(-7.61745 - 0.118507i) q^{35} +(2.99456 - 0.180607i) q^{36} -8.28946 q^{37} +(5.93060 - 2.15856i) q^{38} +(0.173927 - 1.19599i) q^{39} +(1.85089 + 2.20580i) q^{40} +(9.58069 + 3.48709i) q^{41} +(4.28293 - 1.62988i) q^{42} +(-1.22118 + 6.92563i) q^{43} -0.847296i q^{44} +(-8.62275 + 0.520053i) q^{45} +2.02032 q^{46} +(-7.93099 + 2.88664i) q^{47} +(-1.52540 - 0.820460i) q^{48} +(5.49968 - 4.33053i) q^{49} +(-2.11565 - 2.52133i) q^{50} +(2.96514 - 8.97929i) q^{51} +(-0.448515 + 0.534520i) q^{52} +(4.75666 - 2.74626i) q^{53} +(4.70250 - 2.21054i) q^{54} +2.43976i q^{55} +(-2.59809 - 0.499905i) q^{56} +(8.15849 - 7.27552i) q^{57} +(-0.619773 - 3.51491i) q^{58} +(-2.28449 + 1.91692i) q^{59} +(4.39235 + 2.36249i) q^{60} +(0.396158 + 1.08844i) q^{61} +(0.923494 - 1.59954i) q^{62} +(5.84633 - 5.36847i) q^{63} +(0.500000 + 0.866025i) q^{64} +(1.29149 - 1.53913i) q^{65} +(-0.543237 - 1.36331i) q^{66} +(1.33215 + 7.55501i) q^{67} +(-4.18225 + 3.50932i) q^{68} +(3.25072 - 1.29531i) q^{69} +(7.48114 + 1.43946i) q^{70} +(-10.1727 + 5.87322i) q^{71} +(-2.98043 - 0.342136i) q^{72} +5.01018i q^{73} +(8.16352 + 1.43945i) q^{74} +(-5.02064 - 2.70043i) q^{75} +(-6.21533 + 1.09593i) q^{76} +(-1.41407 - 1.73947i) q^{77} +(-0.378966 + 1.14761i) q^{78} +(1.54145 - 8.74199i) q^{79} +(-1.43974 - 2.49370i) q^{80} +(6.14914 - 6.57177i) q^{81} +(-8.82961 - 5.09778i) q^{82} +(2.72190 - 0.990692i) q^{83} +(-4.50089 + 0.861393i) q^{84} +(12.0427 - 10.1050i) q^{85} +(2.40525 - 6.60836i) q^{86} +(-3.25078 - 5.25818i) q^{87} +(-0.147131 + 0.834423i) q^{88} +(0.0671038 + 0.116227i) q^{89} +(8.58206 + 0.985172i) q^{90} +(-0.0287171 + 1.84589i) q^{91} +(-1.98962 - 0.350824i) q^{92} +(0.460386 - 3.16577i) q^{93} +(8.31176 - 1.46559i) q^{94} +(17.8969 - 3.15570i) q^{95} +(1.35975 + 1.07288i) q^{96} +(-11.1785 - 1.97107i) q^{97} +(-6.16812 + 3.30973i) q^{98} +(-1.74816 - 1.84530i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 144 q - 18 q^{6} + 24 q^{9}+O(q^{10}) \) 144 * q - 18 * q^6 + 24 * q^9	\( 144 q - 18 q^{6} + 24 q^{9} - 24 q^{11} + 6 q^{14} + 12 q^{15} - 30 q^{21} - 42 q^{23} - 6 q^{29} - 18 q^{30} + 6 q^{36} + 48 q^{39} - 48 q^{42} + 18 q^{45} - 54 q^{47} - 36 q^{49} + 12 q^{50} - 36 q^{51} - 90 q^{53} + 6 q^{56} - 6 q^{57} + 18 q^{60} + 54 q^{61} - 24 q^{63} + 72 q^{64} + 78 q^{65} - 72 q^{66} - 54 q^{68} + 36 q^{69} - 18 q^{70} - 72 q^{71} + 12 q^{72} - 36 q^{74} - 6 q^{77} - 60 q^{78} + 36 q^{79} - 6 q^{84} - 72 q^{85} + 24 q^{86} + 36 q^{91} - 42 q^{92} + 96 q^{93} - 66 q^{95} - 108 q^{99}+O(q^{100}) \) 144 * q - 18 * q^6 + 24 * q^9 - 24 * q^11 + 6 * q^14 + 12 * q^15 - 30 * q^21 - 42 * q^23 - 6 * q^29 - 18 * q^30 + 6 * q^36 + 48 * q^39 - 48 * q^42 + 18 * q^45 - 54 * q^47 - 36 * q^49 + 12 * q^50 - 36 * q^51 - 90 * q^53 + 6 * q^56 - 6 * q^57 + 18 * q^60 + 54 * q^61 - 24 * q^63 + 72 * q^64 + 78 * q^65 - 72 * q^66 - 54 * q^68 + 36 * q^69 - 18 * q^70 - 72 * q^71 + 12 * q^72 - 36 * q^74 - 6 * q^77 - 60 * q^78 + 36 * q^79 - 6 * q^84 - 72 * q^85 + 24 * q^86 + 36 * q^91 - 42 * q^92 + 96 * q^93 - 66 * q^95 - 108 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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