LMFDB - Embedded newform 798.2.ca.b.451.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [798,2,Mod(325,798)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(798, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 3, 1]))

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

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

chi := DirichletCharacter("798.325");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 798 = 2 \cdot 3 \cdot 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	798.ca (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:	$6.37206208130$
Analytic rank:	$0$
Dimension:	$84$
Relative dimension:	$14$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			451.6
Character	$\chi$	$=$	798.451
Dual form			798.2.ca.b.775.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.642788 + 0.766044i) q^{2} +(0.766044 + 0.642788i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(3.06986 + 0.541299i) q^{5} +(-0.984808 + 0.173648i) q^{6} +(-2.21871 + 1.44129i) q^{7} +(0.866025 + 0.500000i) q^{8} +(0.173648 + 0.984808i) q^{9} +O(q^{10})$	\(q+(-0.642788 + 0.766044i) q^{2} +(0.766044 + 0.642788i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(3.06986 + 0.541299i) q^{5} +(-0.984808 + 0.173648i) q^{6} +(-2.21871 + 1.44129i) q^{7} +(0.866025 + 0.500000i) q^{8} +(0.173648 + 0.984808i) q^{9} +(-2.38793 + 2.00371i) q^{10} +(0.530744 + 0.919276i) q^{11} +(0.500000 - 0.866025i) q^{12} +(0.238458 + 1.35236i) q^{13} +(0.322064 - 2.62608i) q^{14} +(2.00371 + 2.38793i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(1.62657 + 0.286808i) q^{17} +(-0.866025 - 0.500000i) q^{18} +(-2.55011 + 3.53510i) q^{19} -3.11722i q^{20} +(-2.62608 - 0.322064i) q^{21} +(-1.04536 - 0.184326i) q^{22} +(-2.45697 - 0.894264i) q^{23} +(0.342020 + 0.939693i) q^{24} +(4.43257 + 1.61332i) q^{25} +(-1.18925 - 0.686613i) q^{26} +(-0.500000 + 0.866025i) q^{27} +(1.80467 + 1.93472i) q^{28} +(-1.87981 + 5.16473i) q^{29} -3.11722 q^{30} +3.79699 q^{31} +(0.342020 - 0.939693i) q^{32} +(-0.184326 + 1.04536i) q^{33} +(-1.26525 + 1.06167i) q^{34} +(-7.59130 + 3.22358i) q^{35} +(0.939693 - 0.342020i) q^{36} +(8.65986 - 4.99977i) q^{37} +(-1.06887 - 4.22582i) q^{38} +(-0.686613 + 1.18925i) q^{39} +(2.38793 + 2.00371i) q^{40} +(0.0856906 - 0.485976i) q^{41} +(1.93472 - 1.80467i) q^{42} +(4.87867 + 4.09369i) q^{43} +(0.813148 - 0.682312i) q^{44} +3.11722i q^{45} +(2.26436 - 1.30733i) q^{46} +(-2.92693 + 0.516097i) q^{47} +(-0.939693 - 0.342020i) q^{48} +(2.84534 - 6.39562i) q^{49} +(-4.08508 + 2.35852i) q^{50} +(1.06167 + 1.26525i) q^{51} +(1.29041 - 0.469671i) q^{52} +(1.88881 - 0.333048i) q^{53} +(-0.342020 - 0.939693i) q^{54} +(1.13171 + 3.10934i) q^{55} +(-2.64211 + 0.138842i) q^{56} +(-4.22582 + 1.06887i) q^{57} +(-2.74810 - 4.75984i) q^{58} +(0.397758 - 2.25580i) q^{59} +(2.00371 - 2.38793i) q^{60} +(-2.19739 + 6.03729i) q^{61} +(-2.44066 + 2.90866i) q^{62} +(-1.80467 - 1.93472i) q^{63} +(0.500000 + 0.866025i) q^{64} +4.28064i q^{65} +(-0.682312 - 0.813148i) q^{66} +(-3.14016 - 3.74230i) q^{67} -1.65166i q^{68} +(-1.30733 - 2.26436i) q^{69} +(2.41018 - 7.88735i) q^{70} +(1.15621 - 1.37792i) q^{71} +(-0.342020 + 0.939693i) q^{72} +(-0.855444 + 1.01948i) q^{73} +(-1.73640 + 9.84763i) q^{74} +(2.35852 + 4.08508i) q^{75} +(3.92422 + 1.89750i) q^{76} +(-2.50252 - 1.27465i) q^{77} +(-0.469671 - 1.29041i) q^{78} +(1.01884 + 2.79925i) q^{79} +(-3.06986 + 0.541299i) q^{80} +(-0.939693 + 0.342020i) q^{81} +(0.317198 + 0.378022i) q^{82} +(-14.4038 + 8.31606i) q^{83} +(0.138842 + 2.64211i) q^{84} +(4.83810 + 1.76092i) q^{85} +(-6.27190 + 1.10590i) q^{86} +(-4.75984 + 2.74810i) q^{87} +1.06149i q^{88} +(-2.12994 + 1.78724i) q^{89} +(-2.38793 - 2.00371i) q^{90} +(-2.47822 - 2.65681i) q^{91} +(-0.454030 + 2.57493i) q^{92} +(2.90866 + 2.44066i) q^{93} +(1.48604 - 2.57390i) q^{94} +(-9.74202 + 9.47191i) q^{95} +(0.866025 - 0.500000i) q^{96} +(11.0949 - 4.03822i) q^{97} +(3.07038 + 6.29069i) q^{98} +(-0.813148 + 0.682312i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q - 6 q^{7}+O(q^{10}) $ 84 * q - 6 * q^7	$ 84 q - 6 q^{7} - 6 q^{10} + 6 q^{11} + 42 q^{12} - 24 q^{13} + 18 q^{17} - 6 q^{19} - 6 q^{21} + 12 q^{22} + 30 q^{23} + 24 q^{25} + 18 q^{26} - 42 q^{27} - 6 q^{28} + 12 q^{31} + 6 q^{33} + 30 q^{34} + 12 q^{35} + 18 q^{37} + 24 q^{38} + 6 q^{40} - 36 q^{41} - 6 q^{42} + 12 q^{43} - 6 q^{44} + 18 q^{46} + 18 q^{47} + 12 q^{49} - 30 q^{52} - 12 q^{53} + 30 q^{55} + 18 q^{56} + 6 q^{57} + 6 q^{59} + 36 q^{61} + 12 q^{62} + 6 q^{63} + 42 q^{64} + 6 q^{66} - 12 q^{67} - 6 q^{69} - 18 q^{70} + 42 q^{71} - 6 q^{73} + 48 q^{75} - 18 q^{76} - 96 q^{77} - 12 q^{78} - 6 q^{79} - 12 q^{82} - 54 q^{83} + 6 q^{84} - 24 q^{85} - 30 q^{86} + 24 q^{89} - 6 q^{90} + 42 q^{91} + 42 q^{92} + 36 q^{93} - 18 q^{94} + 24 q^{95} + 78 q^{97} + 12 q^{98} + 6 q^{99}+O(q^{100}) $ 84 * q - 6 * q^7 - 6 * q^10 + 6 * q^11 + 42 * q^12 - 24 * q^13 + 18 * q^17 - 6 * q^19 - 6 * q^21 + 12 * q^22 + 30 * q^23 + 24 * q^25 + 18 * q^26 - 42 * q^27 - 6 * q^28 + 12 * q^31 + 6 * q^33 + 30 * q^34 + 12 * q^35 + 18 * q^37 + 24 * q^38 + 6 * q^40 - 36 * q^41 - 6 * q^42 + 12 * q^43 - 6 * q^44 + 18 * q^46 + 18 * q^47 + 12 * q^49 - 30 * q^52 - 12 * q^53 + 30 * q^55 + 18 * q^56 + 6 * q^57 + 6 * q^59 + 36 * q^61 + 12 * q^62 + 6 * q^63 + 42 * q^64 + 6 * q^66 - 12 * q^67 - 6 * q^69 - 18 * q^70 + 42 * q^71 - 6 * q^73 + 48 * q^75 - 18 * q^76 - 96 * q^77 - 12 * q^78 - 6 * q^79 - 12 * q^82 - 54 * q^83 + 6 * q^84 - 24 * q^85 - 30 * q^86 + 24 * q^89 - 6 * q^90 + 42 * q^91 + 42 * q^92 + 36 * q^93 - 18 * q^94 + 24 * q^95 + 78 * q^97 + 12 * q^98 + 6 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/798\mathbb{Z}\right)^\times$.

$n$	$115$	$211$	$533$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{7}{18}\right)$	$1$

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 $

$2$	−0.642788	+	0.766044i	−0.454519	+	0.541675i
$2$	−0.642788	+	0.766044i	−0.454519	+	0.541675i
$3$	0.766044	+	0.642788i	0.442276	+	0.371114i
$3$	0.766044	+	0.642788i	0.442276	+	0.371114i
$4$	−0.173648	−	0.984808i	−0.0868241	−	0.492404i
$5$	3.06986	+	0.541299i	1.37288	+	0.242076i	0.810954	−	0.585109i	$-0.198948\pi$
$5$	3.06986	+	0.541299i	1.37288	+	0.242076i	0.561929	+	0.827186i	$0.310060\pi$
$6$	−0.984808	+	0.173648i	−0.402046	+	0.0708916i
$7$	−2.21871	+	1.44129i	−0.838593	+	0.544758i
$7$	−2.21871	+	1.44129i	−0.838593	+	0.544758i
$8$	0.866025	+	0.500000i	0.306186	+	0.176777i
$9$	0.173648	+	0.984808i	0.0578827	+	0.328269i
$10$	−2.38793	+	2.00371i	−0.755129	+	0.633628i
$11$	0.530744	+	0.919276i	0.160025	+	0.277172i	0.934878	−	0.354970i	$-0.115509\pi$
$11$	0.530744	+	0.919276i	0.160025	+	0.277172i	−0.774852	+	0.632143i	$0.782176\pi$
$12$	0.500000	−	0.866025i	0.144338	−	0.250000i
$13$	0.238458	+	1.35236i	0.0661364	+	0.375078i	0.999854	+	0.0170686i	$0.00543338\pi$
$13$	0.238458	+	1.35236i	0.0661364	+	0.375078i	−0.933718	+	0.358010i	$0.883456\pi$
$14$	0.322064	−	2.62608i	0.0860752	−	0.701848i
$15$	2.00371	+	2.38793i	0.517355	+	0.616560i
$16$	−0.939693	+	0.342020i	−0.234923	+	0.0855050i
$17$	1.62657	+	0.286808i	0.394501	+	0.0695613i	0.367380	−	0.930071i	$-0.380255\pi$
$17$	1.62657	+	0.286808i	0.394501	+	0.0695613i	0.0271214	+	0.999632i	$0.491366\pi$
$18$	−0.866025	−	0.500000i	−0.204124	−	0.117851i
$19$	−2.55011	+	3.53510i	−0.585034	+	0.811009i
$19$	−2.55011	+	3.53510i	−0.585034	+	0.811009i
$20$		−	3.11722i		−	0.697031i
$21$	−2.62608	−	0.322064i	−0.573057	−	0.0702801i
$22$	−1.04536	−	0.184326i	−0.222872	−	0.0392984i
$23$	−2.45697	−	0.894264i	−0.512314	−	0.186467i	0.0729104	−	0.997338i	$-0.476771\pi$
$23$	−2.45697	−	0.894264i	−0.512314	−	0.186467i	−0.585224	+	0.810872i	$0.698994\pi$
$24$	0.342020	+	0.939693i	0.0698146	+	0.191814i
$25$	4.43257	+	1.61332i	0.886515	+	0.322665i
$26$	−1.18925	−	0.686613i	−0.233231	−	0.134656i
$27$	−0.500000	+	0.866025i	−0.0962250	+	0.166667i
$28$	1.80467	+	1.93472i	0.341051	+	0.365629i
$29$	−1.87981	+	5.16473i	−0.349072	+	0.959066i	0.633592	+	0.773668i	$0.281580\pi$
$29$	−1.87981	+	5.16473i	−0.349072	+	0.959066i	−0.982663	+	0.185399i	$0.940642\pi$
$30$	−3.11722			−0.569123
$31$	3.79699			0.681960			0.340980	−	0.940071i	$-0.389241\pi$
$31$	3.79699			0.681960			0.340980	+	0.940071i	$0.389241\pi$
$32$	0.342020	−	0.939693i	0.0604612	−	0.166116i
$33$	−0.184326	+	1.04536i	−0.0320870	+	0.181974i
$34$	−1.26525	+	1.06167i	−0.216988	+	0.182075i
$35$	−7.59130	+	3.22358i	−1.28316	+	0.544885i
$36$	0.939693	−	0.342020i	0.156615	−	0.0570034i
$37$	8.65986	−	4.99977i	1.42367	−	0.821958i	0.427062	−	0.904222i	$-0.359549\pi$
$37$	8.65986	−	4.99977i	1.42367	−	0.821958i	0.996611	+	0.0822649i	$0.0262153\pi$
$38$	−1.06887	−	4.22582i	−0.173394	−	0.685518i
$39$	−0.686613	+	1.18925i	−0.109946	+	0.190432i
$40$	2.38793	+	2.00371i	0.377564	+	0.316814i
$41$	0.0856906	−	0.485976i	0.0133826	−	0.0758967i	−0.977385	−	0.211468i	$-0.932176\pi$
$41$	0.0856906	−	0.485976i	0.0133826	−	0.0758967i	0.990768	+	0.135571i	$0.0432868\pi$
$42$	1.93472	−	1.80467i	0.298534	−	0.278467i
$43$	4.87867	+	4.09369i	0.743990	+	0.624282i	0.933906	−	0.357518i	$-0.116377\pi$
$43$	4.87867	+	4.09369i	0.743990	+	0.624282i	−0.189916	+	0.981800i	$0.560821\pi$
$44$	0.813148	−	0.682312i	0.122587	−	0.102862i
$45$			3.11722i			0.464687i
$46$	2.26436	−	1.30733i	0.333861	−	0.192755i
$47$	−2.92693	+	0.516097i	−0.426937	+	0.0752805i	−0.382988	−	0.923753i	$-0.625105\pi$
$47$	−2.92693	+	0.516097i	−0.426937	+	0.0752805i	−0.0439488	+	0.999034i	$0.513994\pi$
$48$	−0.939693	−	0.342020i	−0.135633	−	0.0493664i
$49$	2.84534	−	6.39562i	0.406478	−	0.913661i
$50$	−4.08508	+	2.35852i	−0.577718	+	0.333545i
$51$	1.06167	+	1.26525i	0.148663	+	0.177170i
$52$	1.29041	−	0.469671i	0.178948	−	0.0651316i
$53$	1.88881	−	0.333048i	0.259448	−	0.0457476i	−0.0424112	−	0.999100i	$-0.513504\pi$
$53$	1.88881	−	0.333048i	0.259448	−	0.0457476i	0.301859	+	0.953353i	$0.402393\pi$
$54$	−0.342020	−	0.939693i	−0.0465430	−	0.127876i
$55$	1.13171	+	3.10934i	0.152599	+	0.419264i
$56$	−2.64211	+	0.138842i	−0.353066	+	0.0185536i
$57$	−4.22582	+	1.06887i	−0.559723	+	0.141575i
$58$	−2.74810	−	4.75984i	−0.360843	−	0.624998i
$59$	0.397758	−	2.25580i	0.0517837	−	0.293680i	−0.947907	−	0.318547i	$-0.896805\pi$
$59$	0.397758	−	2.25580i	0.0517837	−	0.293680i	0.999691	+	0.0248672i	$0.00791628\pi$
$60$	2.00371	−	2.38793i	0.258678	−	0.308280i
$61$	−2.19739	+	6.03729i	−0.281348	+	0.772996i	0.715855	+	0.698249i	$0.246037\pi$
$61$	−2.19739	+	6.03729i	−0.281348	+	0.772996i	−0.997203	+	0.0747470i	$0.976185\pi$
$62$	−2.44066	+	2.90866i	−0.309964	+	0.369401i
$63$	−1.80467	−	1.93472i	−0.227367	−	0.243752i
$64$	0.500000	+	0.866025i	0.0625000	+	0.108253i
$65$			4.28064i			0.530949i
$66$	−0.682312	−	0.813148i	−0.0839868	−	0.100092i
$67$	−3.14016	−	3.74230i	−0.383631	−	0.457194i	0.539325	−	0.842097i	$-0.318679\pi$
$67$	−3.14016	−	3.74230i	−0.383631	−	0.457194i	−0.922957	+	0.384903i	$0.874235\pi$
$68$		−	1.65166i		−	0.200294i
$69$	−1.30733	−	2.26436i	−0.157384	−	0.272596i
$70$	2.41018	−	7.88735i	0.288072	−	0.942719i
$71$	1.15621	−	1.37792i	0.137217	−	0.163529i	−0.693060	−	0.720880i	$-0.743738\pi$
$71$	1.15621	−	1.37792i	0.137217	−	0.163529i	0.830277	+	0.557351i	$0.188182\pi$
$72$	−0.342020	+	0.939693i	−0.0403075	+	0.110744i
$73$	−0.855444	+	1.01948i	−0.100122	+	0.119321i	−0.813779	−	0.581175i	$-0.802593\pi$
$73$	−0.855444	+	1.01948i	−0.100122	+	0.119321i	0.713657	+	0.700496i	$0.247038\pi$
$74$	−1.73640	+	9.84763i	−0.201853	+	1.14476i
$75$	2.35852	+	4.08508i	0.272339	+	0.471705i
$76$	3.92422	+	1.89750i	0.450139	+	0.217658i
$77$	−2.50252	−	1.27465i	−0.285188	−	0.145260i
$78$	−0.469671	−	1.29041i	−0.0531798	−	0.146110i
$79$	1.01884	+	2.79925i	0.114629	+	0.314940i	0.983719	−	0.179714i	$-0.0575171\pi$
$79$	1.01884	+	2.79925i	0.114629	+	0.314940i	−0.869090	+	0.494654i	$0.835295\pi$
$80$	−3.06986	+	0.541299i	−0.343221	+	0.0605191i
$81$	−0.939693	+	0.342020i	−0.104410	+	0.0380022i
$82$	0.317198	+	0.378022i	0.0350287	+	0.0417456i
$83$	−14.4038	+	8.31606i	−1.58103	+	0.912806i	−0.586316	+	0.810082i	$0.699422\pi$
$83$	−14.4038	+	8.31606i	−1.58103	+	0.912806i	−0.994710	+	0.102723i	$0.967244\pi$
$84$	0.138842	+	2.64211i	0.0151489	+	0.288277i
$85$	4.83810	+	1.76092i	0.524765	+	0.190999i
$86$	−6.27190	+	1.10590i	−0.676316	+	0.119253i
$87$	−4.75984	+	2.74810i	−0.510309	+	0.294627i
$88$			1.06149i			0.113155i
$89$	−2.12994	+	1.78724i	−0.225774	+	0.189447i	−0.748657	−	0.662958i	$-0.769301\pi$
$89$	−2.12994	+	1.78724i	−0.225774	+	0.189447i	0.522883	+	0.852404i	$0.324856\pi$
$90$	−2.38793	−	2.00371i	−0.251710	−	0.211209i
$91$	−2.47822	−	2.65681i	−0.259788	−	0.278510i
$92$	−0.454030	+	2.57493i	−0.0473359	+	0.268455i
$93$	2.90866	+	2.44066i	0.301614	+	0.253085i
$94$	1.48604	−	2.57390i	0.153274	−	0.265478i
$95$	−9.74202	+	9.47191i	−0.999510	+	0.971797i
$96$	0.866025	−	0.500000i	0.0883883	−	0.0510310i
$97$	11.0949	−	4.03822i	1.12652	−	0.410019i	0.289492	−	0.957181i	$-0.406514\pi$
$97$	11.0949	−	4.03822i	1.12652	−	0.410019i	0.837027	+	0.547161i	$0.184292\pi$
$98$	3.07038	+	6.29069i	0.310155	+	0.635456i
$99$	−0.813148	+	0.682312i	−0.0817244	+	0.0685749i
$100$	0.819106	−	4.64538i	0.0819106	−	0.464538i
$101$	4.13650	−	11.3649i	0.411597	−	1.13085i	−0.544745	−	0.838602i	$-0.683373\pi$
$101$	4.13650	−	11.3649i	0.411597	−	1.13085i	0.956342	−	0.292251i	$-0.0944043\pi$
$102$	−1.65166			−0.163539
$103$	−13.8286			−1.36257			−0.681284	−	0.732019i	$-0.738578\pi$
$103$	−13.8286			−1.36257			−0.681284	+	0.732019i	$0.738578\pi$
$104$	−0.469671	+	1.29041i	−0.0460550	+	0.126535i
$105$	−7.88735	−	2.41018i	−0.769727	−	0.235210i
$106$	−0.958973	+	1.66099i	−0.0931437	+	0.161330i
$107$	−6.91026	−	3.98964i	−0.668040	−	0.385693i	0.127294	−	0.991865i	$-0.459371\pi$
$107$	−6.91026	−	3.98964i	−0.668040	−	0.385693i	−0.795334	+	0.606172i	$0.792704\pi$
$108$	0.939693	+	0.342020i	0.0904220	+	0.0329109i
$109$	1.25945	+	3.46032i	0.120634	+	0.331439i	0.985281	−	0.170940i	$-0.0546805\pi$
$109$	1.25945	+	3.46032i	0.120634	+	0.331439i	−0.864648	+	0.502379i	$0.832458\pi$
$110$	−3.10934	−	1.13171i	−0.296464	−	0.107904i
$111$	9.84763	+	1.73640i	0.934696	+	0.164812i
$112$	1.59195	−	2.11322i	0.150425	−	0.199680i
$113$		−	5.99903i		−	0.564341i	−0.959364	−	0.282171i	$-0.908946\pi$
$113$		−	5.99903i		−	0.564341i	0.959364	−	0.282171i	$-0.0910544\pi$
$114$	1.89750	−	3.92422i	0.177717	−	0.367537i
$115$	−7.05849	−	4.07522i	−0.658208	−	0.380016i
$116$	5.41269	+	0.954404i	0.502556	+	0.0886142i
$117$	−1.29041	+	0.469671i	−0.119298	+	0.0434211i
$118$	1.47237	+	1.75470i	0.135542	+	0.161533i
$119$	−4.02226	+	1.70802i	−0.368720	+	0.156574i
$120$	0.541299	+	3.06986i	0.0494136	+	0.280239i
$121$	4.93662	−	8.55048i	0.448784	−	0.777316i
$122$	−3.21238	−	5.56400i	−0.290835	−	0.503741i
$123$	0.378022	−	0.317198i	0.0340851	−	0.0286008i
$124$	−0.659341	−	3.73931i	−0.0592105	−	0.335800i
$125$	−0.763861	−	0.441016i	−0.0683218	−	0.0394456i
$126$	2.64211	−	0.138842i	0.235377	−	0.0123690i
$127$	20.5132	−	3.61703i	1.82025	−	0.320960i	0.843795	−	0.536665i	$-0.180316\pi$
$127$	20.5132	−	3.61703i	1.82025	−	0.320960i	0.976458	+	0.215705i	$0.0692051\pi$
$128$	−0.984808	−	0.173648i	−0.0870455	−	0.0153485i
$129$	1.10590	+	6.27190i	0.0973695	+	0.552210i
$130$	−3.27916	−	2.75155i	−0.287602	−	0.241326i
$131$	3.31774	−	3.95393i	0.289872	−	0.345456i	−0.601381	−	0.798962i	$-0.705383\pi$
$131$	3.31774	−	3.95393i	0.289872	−	0.345456i	0.891253	+	0.453506i	$0.149827\pi$
$132$	1.06149			0.0923908
$133$	0.562819	−	11.5188i	0.0488026	−	0.998808i
$134$	4.88522			0.422019
$135$	−2.00371	+	2.38793i	−0.172452	+	0.205520i
$136$	1.26525	+	1.06167i	0.108494	+	0.0910374i
$137$	−0.204025	−	1.15709i	−0.0174311	−	0.0988565i	0.974851	−	0.222858i	$-0.0715385\pi$
$137$	−0.204025	−	1.15709i	−0.0174311	−	0.0988565i	−0.992282	+	0.124001i	$0.960427\pi$
$138$	2.57493	+	0.454030i	0.219193	+	0.0386496i
$139$	21.8018	−	3.84425i	1.84921	−	0.326065i	0.864821	−	0.502081i	$-0.167432\pi$
$139$	21.8018	−	3.84425i	1.84921	−	0.326065i	0.984387	+	0.176015i	$0.0563209\pi$
$140$	4.49283	+	6.91620i	0.379713	+	0.584526i
$141$	−2.57390	−	1.48604i	−0.216762	−	0.125147i
$142$	0.312348	+	1.77141i	0.0262117	+	0.148654i
$143$	−1.11664	+	0.936969i	−0.0933778	+	0.0783533i
$144$	−0.500000	−	0.866025i	−0.0416667	−	0.0721688i
$145$	−8.56641	+	14.8375i	−0.711402	+	1.23218i
$146$	−0.231097	−	1.31062i	−0.0191257	−	0.108467i
$147$	6.29069	−	3.07038i	0.518847	−	0.253241i
$148$	−6.42758	−	7.66010i	−0.528344	−	0.629656i
$149$	−1.34374	+	0.489082i	−0.110084	+	0.0400672i	−0.396475	−	0.918046i	$-0.629767\pi$
$149$	−1.34374	+	0.489082i	−0.110084	+	0.0400672i	0.286391	+	0.958113i	$0.407544\pi$
$150$	−4.64538	−	0.819106i	−0.379294	−	0.0668798i
$151$	9.47207	+	5.46870i	0.770827	+	0.445037i	0.833169	−	0.553018i	$-0.186524\pi$
$151$	9.47207	+	5.46870i	0.770827	+	0.445037i	−0.0623429	+	0.998055i	$0.519857\pi$
$152$	−3.97601	+	1.78644i	−0.322497	+	0.144899i
$153$			1.65166i			0.133529i
$154$	2.58502	−	1.09771i	0.208307	−	0.0884560i
$155$	11.6562	+	2.05531i	0.936251	+	0.165086i
$156$	1.29041	+	0.469671i	0.103316	+	0.0376038i
$157$	−4.23165	−	11.6264i	−0.337723	−	0.927885i	−0.986039	−	0.166514i	$-0.946749\pi$
$157$	−4.23165	−	11.6264i	−0.337723	−	0.927885i	0.648316	−	0.761371i	$-0.275473\pi$
$158$	−2.79925	−	1.01884i	−0.222696	−	0.0810549i
$159$	1.66099	+	0.958973i	0.131725	+	0.0760515i
$160$	1.55861	−	2.69959i	0.123219	−	0.213421i
$161$	6.74020	−	1.55710i	0.531202	−	0.122717i
$162$	0.342020	−	0.939693i	0.0268716	−	0.0738292i
$163$	−22.9612			−1.79846			−0.899231	−	0.437475i	$-0.855873\pi$
$163$	−22.9612			−1.79846			−0.899231	+	0.437475i	$0.855873\pi$
$164$	−0.493473			−0.0385337
$165$	−1.13171	+	3.10934i	−0.0881033	+	0.242062i
$166$	2.88814	−	16.3794i	0.224163	−	1.27129i
$167$	15.5882	−	13.0800i	1.20625	−	1.01216i	0.206821	−	0.978379i	$-0.433688\pi$
$167$	15.5882	−	13.0800i	1.20625	−	1.01216i	0.999429	−	0.0337855i	$-0.0107563\pi$
$168$	−2.11322	−	1.59195i	−0.163038	−	0.122822i
$169$	10.4440	−	3.80130i	0.803383	−	0.292407i
$170$	−4.45881	+	2.57430i	−0.341975	+	0.197440i
$171$	−3.92422	−	1.89750i	−0.300093	−	0.145105i
$172$	3.18433	−	5.51542i	0.242803	−	0.420546i
$173$	−0.824033	−	0.691446i	−0.0626501	−	0.0525697i	0.610925	−	0.791689i	$-0.290798\pi$
$173$	−0.824033	−	0.691446i	−0.0626501	−	0.0525697i	−0.673575	+	0.739119i	$0.735242\pi$
$174$	0.954404	−	5.41269i	0.0723532	−	0.410335i
$175$	−12.1599	+	2.80914i	−0.919199	+	0.212351i
$176$	−0.813148	−	0.682312i	−0.0612933	−	0.0514312i
$177$	1.75470	−	1.47237i	0.131891	−	0.110670i
$178$		−	2.78044i		−	0.208403i
$179$	10.6183	−	6.13045i	0.793645	−	0.458211i	−0.0475990	−	0.998867i	$-0.515157\pi$
$179$	10.6183	−	6.13045i	0.793645	−	0.458211i	0.841244	+	0.540655i	$0.181824\pi$
$180$	3.06986	−	0.541299i	0.228814	−	0.0403461i
$181$	11.5773	+	4.21380i	0.860535	+	0.313209i	0.734328	−	0.678795i	$-0.237497\pi$
$181$	11.5773	+	4.21380i	0.860535	+	0.313209i	0.126207	+	0.992004i	$0.459720\pi$
$182$	3.62821	−	0.190662i	0.268941	−	0.0141328i
$183$	−5.56400	+	3.21238i	−0.411303	+	0.237466i
$184$	−1.68067	−	2.00294i	−0.123900	−	0.147659i
$185$	29.2909	−	10.6610i	2.15351	−	0.783814i
$186$	−3.73931	+	0.659341i	−0.274179	+	0.0483452i
$187$	0.599638	+	1.64749i	0.0438498	+	0.120476i
$188$	1.01651	+	2.79285i	0.0741368	+	0.203689i
$189$	−0.138842	−	2.64211i	−0.0100993	−	0.192185i
$190$	−0.993854	−	13.5512i	−0.0721018	−	0.983110i
$191$	−7.72729	−	13.3841i	−0.559127	−	0.968437i	−0.997570	−	0.0696775i	$-0.977803\pi$
$191$	−7.72729	−	13.3841i	−0.559127	−	0.968437i	0.438442	−	0.898759i	$-0.355530\pi$
$192$	−0.173648	+	0.984808i	−0.0125320	+	0.0710724i
$193$	−0.630669	+	0.751602i	−0.0453965	+	0.0541015i	−0.788265	−	0.615336i	$-0.789020\pi$
$193$	−0.630669	+	0.751602i	−0.0453965	+	0.0541015i	0.742868	+	0.669437i	$0.233465\pi$
$194$	−4.03822	+	11.0949i	−0.289927	+	0.796569i
$195$	−2.75155	+	3.27916i	−0.197042	+	0.234826i
$196$	−6.79255	−	1.69153i	−0.485182	−	0.120823i
$197$	3.30149	+	5.71835i	0.235222	+	0.407416i	0.959337	−	0.282263i	$-0.0910851\pi$
$197$	3.30149	+	5.71835i	0.235222	+	0.407416i	−0.724115	+	0.689679i	$0.757752\pi$
$198$		−	1.06149i		−	0.0754367i
$199$	10.3675	+	12.3555i	0.734935	+	0.875862i	0.995990	−	0.0894623i	$-0.0285149\pi$
$199$	10.3675	+	12.3555i	0.734935	+	0.875862i	−0.261055	+	0.965324i	$0.584070\pi$
$200$	3.03206	+	3.61347i	0.214399	+	0.255511i
$201$		−	4.88522i		−	0.344577i
$202$	6.04716	+	10.4740i	0.425476	+	0.736947i
$203$	−3.27315	−	14.1684i	−0.229730	−	0.994426i
$204$	1.06167	−	1.26525i	0.0743317	−	0.0885851i
$205$	0.526117	−	1.44549i	0.0367456	−	0.100958i
$206$	8.88882	−	10.5933i	0.619314	−	0.738069i
$207$	0.454030	−	2.57493i	0.0315573	−	0.178970i
$208$	−0.686613	−	1.18925i	−0.0476081	−	0.0824596i
$209$	−4.60319	−	0.468014i	−0.318409	−	0.0323732i
$210$	6.91620	−	4.49283i	0.477263	−	0.310034i
$211$	−8.64081	−	23.7404i	−0.594858	−	1.63436i	−0.761368	−	0.648319i	$-0.775472\pi$
$211$	−8.64081	−	23.7404i	−0.594858	−	1.63436i	0.166510	−	0.986040i	$-0.446750\pi$
$212$	−0.655976	−	1.80228i	−0.0450526	−	0.123781i
$213$	1.77141	−	0.312348i	0.121375	−	0.0214017i
$214$	7.49807	−	2.72907i	0.512558	−	0.186556i
$215$	12.7609	+	15.2079i	0.870288	+	1.03717i
$216$	−0.866025	+	0.500000i	−0.0589256	+	0.0340207i
$217$	−8.42442	+	5.47258i	−0.571887	+	0.371503i
$218$	−3.46032	−	1.25945i	−0.234362	−	0.0853010i
$219$	−1.31062	+	0.231097i	−0.0885632	+	0.0156161i
$220$	2.86558	−	1.65445i	0.193198	−	0.111543i
$221$			2.26811i			0.152569i
$222$	−7.66010	+	6.42758i	−0.514112	+	0.431391i
$223$	5.17423	+	4.34169i	0.346492	+	0.290741i	0.799380	−	0.600826i	$-0.205162\pi$
$223$	5.17423	+	4.34169i	0.346492	+	0.290741i	−0.452888	+	0.891568i	$0.649606\pi$
$224$	0.595530	+	2.57786i	0.0397905	+	0.172240i
$225$	−0.819106	+	4.64538i	−0.0546071	+	0.309692i
$226$	4.59552	+	3.85610i	0.305690	+	0.256504i
$227$	7.32438	−	12.6862i	0.486136	−	0.842012i	−0.513737	−	0.857948i	$-0.671739\pi$
$227$	7.32438	−	12.6862i	0.486136	−	0.842012i	0.999873	+	0.0159354i	$0.00507262\pi$
$228$	1.78644	+	3.97601i	0.118310	+	0.263318i
$229$	−14.5331	+	8.39069i	−0.960375	+	0.554473i	−0.896288	−	0.443472i	$-0.853747\pi$
$229$	−14.5331	+	8.39069i	−0.960375	+	0.554473i	−0.0640864	+	0.997944i	$0.520413\pi$
$230$	7.65891	−	2.78762i	0.505014	−	0.183810i
$231$	−1.09771	−	2.58502i	−0.0722240	−	0.170082i
$232$	−4.21033	+	3.53288i	−0.276422	+	0.231945i
$233$	−2.60146	+	14.7536i	−0.170428	+	0.966543i	0.772863	+	0.634573i	$0.218824\pi$
$233$	−2.60146	+	14.7536i	−0.170428	+	0.966543i	−0.943290	+	0.331969i	$0.892287\pi$
$234$	0.469671	−	1.29041i	0.0307034	−	0.0843568i
$235$	−9.26463			−0.604358
$236$	−2.29060			−0.149105
$237$	−1.01884	+	2.79925i	−0.0661810	+	0.181831i
$238$	1.27704	−	4.17913i	0.0827782	−	0.270893i
$239$	5.61815	−	9.73092i	0.363408	−	0.629441i	−0.625111	−	0.780536i	$-0.714946\pi$
$239$	5.61815	−	9.73092i	0.363408	−	0.629441i	0.988519	+	0.151095i	$0.0482798\pi$
$240$	−2.69959	−	1.55861i	−0.174258	−	0.100608i
$241$	25.2521	+	9.19101i	1.62663	+	0.592045i	0.984629	−	0.174659i	$-0.0558823\pi$
$241$	25.2521	+	9.19101i	1.62663	+	0.592045i	0.642001	+	0.766704i	$0.278105\pi$
$242$	3.37685	+	9.27781i	0.217072	+	0.596400i
$243$	−0.939693	−	0.342020i	−0.0602813	−	0.0219406i
$244$	6.32714	+	1.11565i	0.405054	+	0.0714219i
$245$	12.1968	−	18.0935i	0.779222	−	1.15595i
$246$			0.493473i			0.0314627i
$247$	−5.38884	−	2.60570i	−0.342884	−	0.165796i
$248$	3.28829	+	1.89850i	0.208807	+	0.120555i
$249$	−16.3794	−	2.88814i	−1.03800	−	0.183028i
$250$	0.828838	−	0.301672i	0.0524203	−	0.0190794i
$251$	−5.56567	−	6.63291i	−0.351302	−	0.418665i	0.561237	−	0.827655i	$-0.310326\pi$
$251$	−5.56567	−	6.63291i	−0.351302	−	0.418665i	−0.912539	+	0.408990i	$0.865881\pi$
$252$	−1.59195	+	2.11322i	−0.100284	+	0.133120i
$253$	−0.481948	−	2.73326i	−0.0302998	−	0.171839i
$254$	−10.4148	+	18.0390i	−0.653485	+	1.13187i
$255$	2.57430	+	4.45881i	0.161209	+	0.279222i
$256$	0.766044	−	0.642788i	0.0478778	−	0.0401742i
$257$	−3.10058	−	17.5843i	−0.193409	−	1.09688i	−0.914666	−	0.404210i	$-0.867546\pi$
$257$	−3.10058	−	17.5843i	−0.193409	−	1.09688i	0.721257	−	0.692668i	$-0.243565\pi$
$258$	−5.51542	−	3.18433i	−0.343375	−	0.198247i
$259$	−12.0076	+	23.5744i	−0.746114	+	1.46484i
$260$	4.21561	−	0.743326i	0.261441	−	0.0460991i
$261$	−5.41269	−	0.954404i	−0.335037	−	0.0590761i
$262$	0.896282	+	5.08307i	0.0553725	+	0.314033i
$263$	−14.0466	−	11.7865i	−0.866151	−	0.726787i	0.0971330	−	0.995271i	$-0.469033\pi$
$263$	−14.0466	−	11.7865i	−0.866151	−	0.726787i	−0.963284	+	0.268484i	$0.913477\pi$
$264$	−0.682312	+	0.813148i	−0.0419934	+	0.0500458i
$265$	5.97865			0.367266
$266$	8.46216	+	7.83530i	0.518848	+	0.480413i
$267$	−2.78044			−0.170160
$268$	−3.14016	+	3.74230i	−0.191816	+	0.228597i
$269$	5.96187	+	5.00260i	0.363502	+	0.305014i	0.806185	−	0.591664i	$-0.201529\pi$
$269$	5.96187	+	5.00260i	0.363502	+	0.305014i	−0.442683	+	0.896678i	$0.645973\pi$
$270$	−0.541299	−	3.06986i	−0.0329424	−	0.186826i
$271$	14.8335	+	2.61554i	0.901070	+	0.158883i	0.604946	−	0.796267i	$-0.293195\pi$
$271$	14.8335	+	2.61554i	0.901070	+	0.158883i	0.296124	+	0.955150i	$0.404306\pi$
$272$	−1.62657	+	0.286808i	−0.0986254	+	0.0173903i
$273$	−0.190662	−	3.62821i	−0.0115394	−	0.219589i
$274$	1.01752	+	0.587468i	0.0614709	+	0.0354902i
$275$	0.869472	+	4.93102i	0.0524312	+	0.297352i
$276$	−2.00294	+	1.68067i	−0.120563	+	0.101164i
$277$	−5.33817	−	9.24599i	−0.320740	−	0.555538i	0.659901	−	0.751352i	$-0.270598\pi$
$277$	−5.33817	−	9.24599i	−0.320740	−	0.555538i	−0.980641	+	0.195815i	$0.937265\pi$
$278$	−11.0691	+	19.1722i	−0.663880	+	1.14987i
$279$	0.659341	+	3.73931i	0.0394737	+	0.223866i
$280$	−8.18605	−	1.00394i	−0.489210	−	0.0599971i
$281$	2.84151	+	3.38637i	0.169510	+	0.202014i	0.844111	−	0.536168i	$-0.180129\pi$
$281$	2.84151	+	3.38637i	0.169510	+	0.202014i	−0.674601	+	0.738182i	$0.735684\pi$
$282$	2.79285	−	1.01651i	0.166312	−	0.0605325i
$283$	−10.2440	−	1.80629i	−0.608942	−	0.107373i	−0.139330	−	0.990246i	$-0.544495\pi$
$283$	−10.2440	−	1.80629i	−0.608942	−	0.107373i	−0.469612	+	0.882873i	$0.655606\pi$
$284$	−1.55776	−	0.899371i	−0.0924358	−	0.0533678i
$285$	−13.5512	+	0.993854i	−0.802706	+	0.0588708i
$286$		−	1.45766i		−	0.0861935i
$287$	0.510311	+	1.20174i	0.0301227	+	0.0709367i
$288$	0.984808	+	0.173648i	0.0580304	+	0.0102323i
$289$	−13.4113	−	4.88131i	−0.788900	−	0.287136i
$290$	−5.85977	−	16.0996i	−0.344098	−	0.945401i
$291$	11.0949	+	4.03822i	0.650396	+	0.236725i
$292$	1.15254	+	0.665417i	0.0674471	+	0.0389406i
$293$	6.08466	−	10.5389i	0.355470	−	0.615691i	−0.631729	−	0.775190i	$-0.717654\pi$
$293$	6.08466	−	10.5389i	0.355470	−	0.615691i	0.987198	+	0.159498i	$0.0509876\pi$
$294$	−1.69153	+	6.79255i	−0.0986520	+	0.396150i
$295$	2.44212	−	6.70967i	0.142186	−	0.390652i
$296$	9.99955			0.581212
$297$	−1.06149			−0.0615938
$298$	0.489082	−	1.34374i	0.0283318	−	0.0778409i
$299$	0.623486	−	3.53596i	0.0360571	−	0.204490i
$300$	3.61347	−	3.03206i	0.208624	−	0.175056i
$301$	−16.7246	−	2.05111i	−0.963988	−	0.118224i
$302$	−10.2778	+	3.74081i	−0.591421	+	0.215260i
$303$	10.4740	−	6.04716i	0.601714	−	0.347400i
$304$	1.18724	−	4.19410i	0.0680928	−	0.240548i
$305$	−10.0137	+	17.3442i	−0.573381	+	0.993126i
$306$	−1.26525	−	1.06167i	−0.0723294	−	0.0606916i
$307$	2.39969	−	13.6093i	0.136957	−	0.776724i	−0.836519	−	0.547938i	$-0.815413\pi$
$307$	2.39969	−	13.6093i	0.136957	−	0.776724i	0.973477	−	0.228787i	$-0.0734758\pi$
$308$	−0.820727	+	2.68584i	−0.0467652	+	0.153040i
$309$	−10.5933	−	8.88882i	−0.602631	−	0.505668i
$310$	−9.06694	+	7.60806i	−0.514968	+	0.432109i
$311$			29.5146i			1.67362i	0.547492	+	0.836811i	$0.315583\pi$
$311$			29.5146i			1.67362i	−0.547492	+	0.836811i	$0.684417\pi$
$312$	−1.18925	+	0.686613i	−0.0673280	+	0.0388718i
$313$	8.99853	−	1.58668i	0.508627	−	0.0896847i	0.0865553	−	0.996247i	$-0.472414\pi$
$313$	8.99853	−	1.58668i	0.508627	−	0.0896847i	0.422072	+	0.906562i	$0.361303\pi$
$314$	11.6264	+	4.23165i	0.656114	+	0.238806i
$315$	−4.49283	−	6.91620i	−0.253142	−	0.389684i
$316$	2.57980	−	1.48945i	0.145125	−	0.0837881i
$317$	−18.8753	−	22.4947i	−1.06014	−	1.26343i	−0.963386	−	0.268119i	$-0.913598\pi$
$317$	−18.8753	−	22.4947i	−1.06014	−	1.26343i	−0.0967559	−	0.995308i	$-0.530847\pi$
$318$	−1.80228	+	0.655976i	−0.101067	+	0.0367853i
$319$	−5.74551	+	1.01309i	−0.321687	+	0.0567221i
$320$	1.06615	+	2.92923i	0.0595997	+	0.163749i
$321$	−2.72907	−	7.49807i	−0.152322	−	0.418501i
$322$	−3.13971	+	6.16418i	−0.174969	+	0.343516i
$323$	−5.16183	+	5.01871i	−0.287212	+	0.279248i
$324$	0.500000	+	0.866025i	0.0277778	+	0.0481125i
$325$	−1.12482	+	6.37916i	−0.0623937	+	0.353852i
$326$	14.7592	−	17.5893i	0.817436	−	0.974182i
$327$	−1.25945	+	3.46032i	−0.0696479	+	0.191356i
$328$	0.317198	−	0.378022i	0.0175143	−	0.0208728i
$329$	5.75016	−	5.36364i	0.317017	−	0.295707i
$330$	−1.65445	−	2.86558i	−0.0910743	−	0.157745i
$331$			5.84508i			0.321274i	0.987014	+	0.160637i	$0.0513549\pi$
$331$			5.84508i			0.321274i	−0.987014	+	0.160637i	$0.948645\pi$
$332$	10.6909	+	12.7409i	0.586740	+	0.699250i
$333$	6.42758	+	7.66010i	0.352229	+	0.419771i
$334$			20.3489i			1.11344i
$335$	−7.61415	−	13.1881i	−0.416005	−	0.720542i
$336$	2.57786	−	0.595530i	0.140634	−	0.0324888i
$337$	−8.09765	+	9.65041i	−0.441107	+	0.525691i	−0.940093	−	0.340919i	$-0.889262\pi$
$337$	−8.09765	+	9.65041i	−0.441107	+	0.525691i	0.498985	+	0.866610i	$0.333706\pi$
$338$	−3.80130	+	10.4440i	−0.206763	+	0.568078i
$339$	3.85610	−	4.59552i	0.209435	−	0.249594i
$340$	0.894044	−	5.07038i	0.0484864	−	0.274980i
$341$	2.01523	+	3.49048i	0.109131	+	0.189020i
$342$	3.97601	−	1.78644i	0.214998	−	0.0965995i
$343$	2.90498	+	18.2910i	0.156854	+	0.987622i
$344$	2.17821	+	5.98458i	0.117441	+	0.322667i
$345$	−2.78762	−	7.65891i	−0.150080	−	0.412342i
$346$	1.05936	−	0.186793i	0.0569514	−	0.0100421i
$347$	−20.8237	+	7.57920i	−1.11787	+	0.406873i	−0.833876	−	0.551952i	$-0.813883\pi$
$347$	−20.8237	+	7.57920i	−1.11787	+	0.406873i	−0.283998	+	0.958825i	$0.591661\pi$
$348$	3.53288	+	4.21033i	0.189382	+	0.225697i
$349$	10.0469	−	5.80057i	0.537797	−	0.310497i	−0.206389	−	0.978470i	$-0.566171\pi$
$349$	10.0469	−	5.80057i	0.537797	−	0.310497i	0.744186	+	0.667973i	$0.232838\pi$
$350$	5.66428	−	11.1207i	0.302769	−	0.594425i
$351$	−1.29041	−	0.469671i	−0.0688770	−	0.0250692i
$352$	1.04536	−	0.184326i	0.0557180	−	0.00982459i
$353$	26.7418	−	15.4394i	1.42332	−	0.821757i	0.426743	−	0.904373i	$-0.359661\pi$
$353$	26.7418	−	15.4394i	1.42332	−	0.821757i	0.996581	+	0.0826163i	$0.0263276\pi$
$354$			2.29060i			0.121744i
$355$	4.29526	−	3.60415i	0.227969	−	0.191289i
$356$	2.12994	+	1.78724i	0.112887	+	0.0947233i
$357$	−4.17913	−	1.27704i	−0.221183	−	0.0675882i
$358$	−2.12908	+	12.0746i	−0.112526	+	0.638164i
$359$	−23.5293	−	19.7434i	−1.24183	−	1.04202i	−0.997379	−	0.0723572i	$-0.976948\pi$
$359$	−23.5293	−	19.7434i	−1.24183	−	1.04202i	−0.244451	−	0.969662i	$-0.578608\pi$
$360$	−1.55861	+	2.69959i	−0.0821459	+	0.142281i
$361$	−5.99393	−	18.0298i	−0.315470	−	0.948936i
$362$	−10.6697	+	6.16016i	−0.560787	+	0.323771i
$363$	9.27781	−	3.37685i	0.486959	−	0.177239i
$364$	−2.18611	+	2.90192i	−0.114583	+	0.152102i
$365$	−3.17794	+	2.66660i	−0.166341	+	0.139576i
$366$	1.11565	−	6.32714i	0.0583158	−	0.330725i
$367$	−8.81609	+	24.2220i	−0.460196	+	1.26438i	0.465142	+	0.885236i	$0.346003\pi$
$367$	−8.81609	+	24.2220i	−0.460196	+	1.26438i	−0.925338	+	0.379143i	$0.876219\pi$
$368$	2.61465			0.136298
$369$	0.493473			0.0256892
$370$	−10.6610	+	29.2909i	−0.554240	+	1.52276i
$371$	−3.71070	+	3.46126i	−0.192650	+	0.179700i
$372$	1.89850	−	3.28829i	0.0984324	−	0.170490i
$373$	−20.1356	−	11.6253i	−1.04258	−	0.601934i	−0.122017	−	0.992528i	$-0.538936\pi$
$373$	−20.1356	−	11.6253i	−1.04258	−	0.601934i	−0.920563	+	0.390594i	$0.872270\pi$
$374$	−1.64749	−	0.599638i	−0.0851897	−	0.0310065i
$375$	−0.301672	−	0.828838i	−0.0155783	−	0.0428010i
$376$	−2.79285	−	1.01651i	−0.144030	−	0.0524226i
$377$	−7.43285	−	1.31061i	−0.382811	−	0.0675000i
$378$	2.11322	+	1.59195i	0.108692	+	0.0818813i
$379$		−	8.28058i		−	0.425345i	−0.977124	−	0.212672i	$-0.931783\pi$
$379$		−	8.28058i		−	0.425345i	0.977124	−	0.212672i	$-0.0682167\pi$
$380$	11.0197	+	7.94923i	0.565298	+	0.407787i
$381$	18.0390	+	10.4148i	0.924167	+	0.533568i
$382$	15.2198	+	2.68366i	0.778713	+	0.137308i
$383$	24.7409	−	9.00493i	1.26420	−	0.460131i	0.379023	−	0.925387i	$-0.376260\pi$
$383$	24.7409	−	9.00493i	1.26420	−	0.460131i	0.885176	+	0.465257i	$0.154038\pi$
$384$	−0.642788	−	0.766044i	−0.0328021	−	0.0390920i
$385$	−6.99241	−	5.26760i	−0.356366	−	0.268462i
$386$	−0.170374	−	0.966241i	−0.00867182	−	0.0491803i
$387$	−3.18433	+	5.51542i	−0.161868	+	0.280364i
$388$	−5.90349	−	10.2251i	−0.299704	−	0.519103i
$389$	−7.77010	+	6.51989i	−0.393960	+	0.330571i	−0.818153	−	0.575000i	$-0.805002\pi$
$389$	−7.77010	+	6.51989i	−0.393960	+	0.330571i	0.424194	+	0.905571i	$0.360558\pi$
$390$	−0.743326	−	4.21561i	−0.0376398	−	0.213466i
$391$	−3.73996	−	2.15926i	−0.189138	−	0.109199i
$392$	5.66195	−	4.11610i	0.285972	−	0.207895i
$393$	5.08307	−	0.896282i	0.256407	−	0.0452115i
$394$	−6.50267	−	1.14660i	−0.327600	−	0.0577647i
$395$	1.61248	+	9.14481i	0.0811325	+	0.460125i
$396$	0.813148	+	0.682312i	0.0408622	+	0.0342875i
$397$	−4.49415	+	5.35592i	−0.225555	+	0.268806i	−0.866939	−	0.498414i	$-0.833916\pi$
$397$	−4.49415	+	5.35592i	−0.225555	+	0.268806i	0.641384	+	0.767220i	$0.278360\pi$
$398$	−16.1290			−0.808475
$399$	7.83530	−	8.46216i	0.392256	−	0.423638i
$400$	−4.71705			−0.235852
$401$	5.07456	−	6.04762i	0.253411	−	0.302004i	−0.624309	−	0.781178i	$-0.714619\pi$
$401$	5.07456	−	6.04762i	0.253411	−	0.302004i	0.877720	+	0.479174i	$0.159064\pi$
$402$	3.74230	+	3.14016i	0.186649	+	0.156617i
$403$	0.905424	+	5.13491i	0.0451024	+	0.255788i
$404$	−11.9106	−	2.10015i	−0.592573	−	0.104487i
$405$	−3.06986	+	0.541299i	−0.152543	+	0.0268974i
$406$	12.9576	+	6.59989i	0.643073	+	0.327547i
$407$	9.19235	+	5.30720i	0.455648	+	0.263068i
$408$	0.286808	+	1.62657i	0.0141991	+	0.0805273i
$409$	5.02827	−	4.21922i	0.248632	−	0.208627i	−0.509951	−	0.860204i	$-0.670336\pi$
$409$	5.02827	−	4.21922i	0.248632	−	0.208627i	0.758583	+	0.651576i	$0.225892\pi$
$410$	0.769131	+	1.33217i	0.0379847	+	0.0657914i
$411$	0.587468	−	1.01752i	0.0289776	−	0.0501907i
$412$	2.40130	+	13.6185i	0.118304	+	0.670934i
$413$	2.36876	+	5.57824i	0.116559	+	0.274487i
$414$	1.68067	+	2.00294i	0.0826003	+	0.0984392i
$415$	−48.7192	+	17.7323i	−2.39153	+	0.870447i
$416$	1.35236	+	0.238458i	0.0663051	+	0.0116914i
$417$	19.1722	+	11.0691i	0.938868	+	0.542055i
$418$	3.31739	−	3.22542i	0.162259	−	0.157760i
$419$			31.6466i			1.54604i	0.634382	+	0.773020i	$0.281255\pi$
$419$			31.6466i			1.54604i	−0.634382	+	0.773020i	$0.718745\pi$
$420$	−1.00394	+	8.18605i	−0.0489874	+	0.399438i
$421$	34.3050	+	6.04891i	1.67193	+	0.294806i	0.927757	−	0.373186i	$-0.121735\pi$
$421$	34.3050	+	6.04891i	1.67193	+	0.294806i	0.744169	+	0.667991i	$0.232846\pi$
$422$	23.7404	+	8.64081i	1.15567	+	0.420628i
$423$	−1.01651	−	2.79285i	−0.0494245	−	0.135793i
$424$	1.80228	+	0.655976i	0.0875264	+	0.0318570i
$425$	6.74718	+	3.89549i	0.327286	+	0.188959i
$426$	−0.899371	+	1.55776i	−0.0435747	+	0.0754735i
$427$	−3.82613	−	16.5621i	−0.185159	−	0.801496i
$428$	−2.72907	+	7.49807i	−0.131915	+	0.362433i
$429$	−1.45766			−0.0703767
$430$	−19.8525			−0.957371
$431$	−0.476487	+	1.30914i	−0.0229516	+	0.0630589i	−0.950639	−	0.310298i	$-0.899571\pi$
$431$	−0.476487	+	1.30914i	−0.0229516	+	0.0630589i	0.927688	+	0.373357i	$0.121793\pi$
$432$	0.173648	−	0.984808i	0.00835465	−	0.0473816i
$433$	−29.9559	+	25.1360i	−1.43959	+	1.20796i	−0.499829	+	0.866124i	$0.666604\pi$
$433$	−29.9559	+	25.1360i	−1.43959	+	1.20796i	−0.939760	+	0.341834i	$0.888952\pi$
$434$	1.22287	−	9.97119i	0.0586998	−	0.478632i
$435$	−16.0996	+	5.85977i	−0.771916	+	0.280955i
$436$	3.18905	−	1.84120i	0.152728	−	0.0881774i
$437$	9.42685	−	6.40518i	0.450947	−	0.306401i
$438$	0.665417	−	1.15254i	0.0317949	−	0.0550703i
$439$	16.0159	+	13.4390i	0.764399	+	0.641407i	0.939268	−	0.343185i	$-0.111506\pi$
$439$	16.0159	+	13.4390i	0.764399	+	0.641407i	−0.174869	+	0.984592i	$0.555950\pi$
$440$	−0.574583	+	3.25862i	−0.0273922	+	0.155349i
$441$	6.79255	+	1.69153i	0.323455	+	0.0805490i
$442$	−1.73747	−	1.45791i	−0.0826431	−	0.0693458i
$443$	−31.7992	+	26.6827i	−1.51082	+	1.26773i	−0.648691	+	0.761052i	$0.724683\pi$
$443$	−31.7992	+	26.6827i	−1.51082	+	1.26773i	−0.862134	+	0.506681i	$0.830872\pi$
$444$		−	9.99955i		−	0.474557i
$445$	−7.50606	+	4.33363i	−0.355821	+	0.205434i
$446$	−6.65186	+	1.17290i	−0.314975	+	0.0555386i
$447$	−1.34374	−	0.489082i	−0.0635569	−	0.0231328i
$448$	−2.35755	−	1.20081i	−0.111384	−	0.0567330i
$449$	−26.7305	+	15.4329i	−1.26149	+	0.728323i	−0.973363	−	0.229269i	$-0.926366\pi$
$449$	−26.7305	+	15.4329i	−1.26149	+	0.728323i	−0.288129	+	0.957592i	$0.593033\pi$
$450$	−3.03206	−	3.61347i	−0.142933	−	0.170340i
$451$	0.492226	−	0.179156i	0.0231780	−	0.00843611i
$452$	−5.90789	+	1.04172i	−0.277884	+	0.0489984i
$453$	3.74081	+	10.2778i	0.175759	+	0.482893i
$454$	5.01017	+	13.7653i	0.235139	+	0.646039i
$455$	−6.16967	−	9.49751i	−0.289238	−	0.445250i
$456$	−4.19410	−	1.18724i	−0.196407	−	0.0555975i
$457$	−9.28979	−	16.0904i	−0.434558	−	0.752677i	0.562701	−	0.826660i	$-0.309762\pi$
$457$	−9.28979	−	16.0904i	−0.434558	−	0.752677i	−0.997259	+	0.0739835i	$0.976429\pi$
$458$	2.91406	−	16.5264i	0.136165	−	0.772230i
$459$	−1.06167	+	1.26525i	−0.0495545	+	0.0590567i
$460$	−2.78762	+	7.65891i	−0.129973	+	0.357099i
$461$	−6.98564	+	8.32517i	−0.325354	+	0.387742i	−0.903783	−	0.427991i	$-0.859221\pi$
$461$	−6.98564	+	8.32517i	−0.325354	+	0.387742i	0.578429	+	0.815733i	$0.303666\pi$
$462$	2.68584	+	0.820727i	0.124956	+	0.0381837i
$463$	4.55488	+	7.88929i	0.211683	+	0.366646i	0.952241	−	0.305346i	$-0.0987721\pi$
$463$	4.55488	+	7.88929i	0.211683	+	0.366646i	−0.740558	+	0.671992i	$0.765439\pi$
$464$		−	5.49619i		−	0.255154i
$465$	7.60806	+	9.06694i	0.352816	+	0.420469i
$466$	−9.62975	−	11.4763i	−0.446090	−	0.531629i
$467$			24.8909i			1.15181i	0.817516	+	0.575906i	$0.195350\pi$
$467$			24.8909i			1.15181i	−0.817516	+	0.575906i	$0.804650\pi$
$468$	0.686613	+	1.18925i	0.0317387	+	0.0549730i
$469$	12.3608	+	3.77718i	0.570771	+	0.174414i
$470$	5.95519	−	7.09712i	0.274693	−	0.327366i
$471$	4.23165	−	11.6264i	0.194984	−	0.535715i
$472$	1.47237	−	1.75470i	0.0677712	−	0.0807665i
$473$	−1.17391	+	6.65755i	−0.0539763	+	0.306115i
$474$	−1.48945	−	2.57980i	−0.0684127	−	0.118494i
$475$	−17.0068	+	11.5555i	−0.780325	+	0.530201i
$476$	2.38053	+	3.66456i	0.109112	+	0.167965i
$477$	0.655976	+	1.80228i	0.0300351	+	0.0825207i
$478$	3.84304	+	10.5587i	0.175777	+	0.482942i
$479$	−22.1881	+	3.91236i	−1.01380	+	0.178760i	−0.655779	−	0.754953i	$-0.727659\pi$
$479$	−22.1881	+	3.91236i	−1.01380	+	0.178760i	−0.358021	+	0.933714i	$0.616548\pi$
$480$	2.92923	−	1.06615i	0.133700	−	0.0486629i
$481$	8.82653	+	10.5190i	0.402455	+	0.479627i
$482$	−23.2724	+	13.4364i	−1.06003	+	0.612009i
$483$	6.16418	+	3.13971i	0.280480	+	0.142862i
$484$	−9.27781	−	3.37685i	−0.421719	−	0.153493i
$485$	36.2457	−	6.39110i	1.64583	−	0.290205i
$486$	0.866025	−	0.500000i	0.0392837	−	0.0226805i
$487$			27.3211i			1.23804i	0.785377	+	0.619018i	$0.212469\pi$
$487$			27.3211i			1.23804i	−0.785377	+	0.619018i	$0.787531\pi$
$488$	−4.92164	+	4.12975i	−0.222792	+	0.186945i
$489$	−17.5893	−	14.7592i	−0.795416	−	0.667433i
$490$	6.02049	+	20.9735i	0.271978	+	0.947487i
$491$	−6.88963	+	39.0730i	−0.310925	+	1.76334i	0.283290	+	0.959034i	$0.408574\pi$
$491$	−6.88963	+	39.0730i	−0.310925	+	1.76334i	−0.594215	+	0.804307i	$0.702537\pi$
$492$	−0.378022	−	0.317198i	−0.0170426	−	0.0143004i
$493$	−4.53893	+	7.86166i	−0.204423	+	0.354071i
$494$	5.45996	−	2.45318i	0.245655	−	0.110374i
$495$	−2.86558	+	1.65445i	−0.128798	+	0.0743618i
$496$	−3.56800	+	1.29865i	−0.160208	+	0.0583110i
$497$	−0.579310	+	4.72363i	−0.0259856	+	0.211884i
$498$	12.7409	−	10.6909i	0.570935	−	0.479071i
$499$	−3.08469	+	17.4941i	−0.138090	+	0.783145i	0.834569	+	0.550904i	$0.185717\pi$
$499$	−3.08469	+	17.4941i	−0.138090	+	0.783145i	−0.972658	+	0.232241i	$0.925394\pi$
$500$	−0.301672	+	0.828838i	−0.0134912	+	0.0370668i
$501$	20.3489			0.909123
$502$	8.65865			0.386454
$503$	2.64361	−	7.26326i	0.117873	−	0.323853i	−0.866700	−	0.498830i	$-0.833763\pi$
$503$	2.64361	−	7.26326i	0.117873	−	0.323853i	0.984572	+	0.174978i	$0.0559853\pi$
$504$	−0.595530	−	2.57786i	−0.0265270	−	0.114827i
$505$	18.8503	−	32.6497i	0.838827	−	1.45289i
$506$	2.40359	+	1.38771i	0.106853	+	0.0616914i
$507$	10.4440	+	3.80130i	0.463833	+	0.168822i
$508$	−7.12417	−	19.5735i	−0.316084	−	0.868433i
$509$	32.1008	+	11.6837i	1.42284	+	0.517873i	0.934872	−	0.354986i	$-0.115514\pi$
$509$	32.1008	+	11.6837i	1.42284	+	0.517873i	0.487973	+	0.872859i	$0.337737\pi$
$510$	−5.07038	−	0.894044i	−0.224520	−	0.0395889i
$511$	0.428614	−	3.49487i	0.0189608	−	0.154604i
$512$			1.00000i			0.0441942i
$513$	−1.78644	−	3.97601i	−0.0788731	−	0.175545i
$514$	15.4634	+	8.92778i	0.682060	+	0.393787i
$515$	−42.4517	−	7.48539i	−1.87065	−	0.329846i
$516$	5.98458	−	2.17821i	0.263456	−	0.0958902i
$517$	−2.02789	−	2.41674i	−0.0891865	−	0.106288i
$518$	−10.3408	−	24.3517i	−0.454347	−	1.06995i
$519$	−0.186793	−	1.05936i	−0.00819931	−	0.0465006i
$520$	−2.14032	+	3.70715i	−0.0938593	+	0.162569i
$521$	−8.91026	−	15.4330i	−0.390365	−	0.676133i	0.602132	−	0.798396i	$-0.294318\pi$
$521$	−8.91026	−	15.4330i	−0.390365	−	0.676133i	−0.992498	+	0.122264i	$0.960985\pi$
$522$	4.21033	−	3.53288i	0.184281	−	0.154630i
$523$	−2.36188	−	13.3949i	−0.103278	−	0.585718i	−0.991894	−	0.127067i	$-0.959444\pi$
$523$	−2.36188	−	13.3949i	−0.103278	−	0.585718i	0.888616	−	0.458651i	$-0.151667\pi$
$524$	−4.46998	−	2.58074i	−0.195272	−	0.112740i
$525$	−11.1207	−	5.66428i	−0.485346	−	0.247210i
$526$	18.0580	−	3.18411i	0.787365	−	0.138834i
$527$	6.17608	+	1.08901i	0.269034	+	0.0474380i
$528$	−0.184326	−	1.04536i	−0.00802174	−	0.0454936i
$529$	−12.3820	−	10.3898i	−0.538349	−	0.451728i
$530$	−3.84300	+	4.57991i	−0.166929	+	0.198939i
$531$	2.29060			0.0994034
$532$	−11.4416	+	1.44595i	−0.496054	+	0.0626900i
$533$	0.677650			0.0293523
$534$	1.78724	−	2.12994i	0.0773412	−	0.0921717i
$535$	−19.0539	−	15.9882i	−0.823774	−	0.691228i
$536$	−0.848309	−	4.81100i	−0.0366414	−	0.207804i
$537$	12.0746	+	2.12908i	0.521059	+	0.0918767i
$538$	−7.66443	+	1.35145i	−0.330437	+	0.0582650i
$539$	7.38950	−	0.778784i	0.318288	−	0.0335446i
$540$	2.69959	+	1.55861i	0.116172	+	0.0670718i
$541$	1.99114	+	11.2923i	0.0856057	+	0.485494i	0.997224	+	0.0744567i	$0.0237222\pi$
$541$	1.99114	+	11.2923i	0.0856057	+	0.485494i	−0.911619	+	0.411037i	$0.865167\pi$
$542$	−11.5384	+	9.68187i	−0.495617	+	0.415872i
$543$	6.16016	+	10.6697i	0.264358	+	0.457881i
$544$	0.825832	−	1.43038i	0.0354072	−	0.0613272i
$545$	1.99328	+	11.3044i	0.0853826	+	0.484229i
$546$	2.90192	+	2.18611i	0.124191	+	0.0935570i
$547$	2.69842	+	3.21586i	0.115376	+	0.137500i	0.820641	−	0.571444i	$-0.193616\pi$
$547$	2.69842	+	3.21586i	0.115376	+	0.137500i	−0.705265	+	0.708944i	$0.749172\pi$
$548$	−1.10408	+	0.401852i	−0.0471639	+	0.0171662i
$549$	−6.32714	−	1.11565i	−0.270036	−	0.0476146i
$550$	−4.33627	−	2.50355i	−0.184899	−	0.106752i
$551$	−13.4642	−	19.8159i	−0.573592	−	0.844187i
$552$		−	2.61465i		−	0.111287i
$553$	−6.29506	−	4.74227i	−0.267693	−	0.201662i
$554$	10.5141	+	1.85393i	0.446703	+	0.0787659i
$555$	29.2909	+	10.6610i	1.24333	+	0.452535i
$556$	−7.57170	−	20.8031i	−0.321112	−	0.882247i
$557$	34.6822	+	12.6233i	1.46953	+	0.534866i	0.947974	−	0.318348i	$-0.103128\pi$
$557$	34.6822	+	12.6233i	1.46953	+	0.534866i	0.521560	+	0.853215i	$0.325350\pi$
$558$	−3.28829	−	1.89850i	−0.139204	−	0.0803697i
$559$	−4.37280	+	7.57391i	−0.184950	+	0.320342i
$560$	6.03096	−	5.62556i	0.254854	−	0.237723i
$561$	−0.599638	+	1.64749i	−0.0253167	+	0.0695571i
$562$	−4.42060			−0.186472
$563$	−4.87775			−0.205573			−0.102786	−	0.994703i	$-0.532776\pi$
$563$	−4.87775			−0.205573			−0.102786	+	0.994703i	$0.532776\pi$
$564$	−1.01651	+	2.79285i	−0.0428029	+	0.117600i
$565$	3.24727	−	18.4162i	0.136614	−	0.774774i
$566$	7.96841	−	6.68629i	0.334937	−	0.281046i
$567$	1.59195	−	2.11322i	0.0668558	−	0.0887468i
$568$	1.69026	−	0.615206i	0.0709219	−	0.0258135i
$569$	21.3942	−	12.3519i	0.896890	−	0.517819i	0.0206998	−	0.999786i	$-0.493411\pi$
$569$	21.3942	−	12.3519i	0.896890	−	0.517819i	0.876190	+	0.481966i	$0.160077\pi$
$570$	7.94923	−	11.0197i	0.332957	−	0.461564i
$571$	10.0252	−	17.3641i	0.419541	−	0.726666i	−0.576353	−	0.817201i	$-0.695525\pi$
$571$	10.0252	−	17.3641i	0.419541	−	0.726666i	0.995893	+	0.0905354i	$0.0288578\pi$
$572$	1.11664	+	0.936969i	0.0466889	+	0.0391766i
$573$	2.68366	−	15.2198i	0.112112	−	0.635816i
$574$	−1.24861	−	0.381545i	−0.0521160	−	0.0159254i
$575$	−9.44796	−	7.92778i	−0.394007	−	0.330611i
$576$	−0.766044	+	0.642788i	−0.0319185	+	0.0267828i
$577$		−	1.15436i		−	0.0480567i	−0.999711	−	0.0240283i	$-0.992351\pi$
$577$		−	1.15436i		−	0.0480567i	0.999711	−	0.0240283i	$-0.00764919\pi$
$578$	12.3599	−	7.13600i	0.514105	−	0.296819i
$579$	−0.966241	+	0.170374i	−0.0401556	+	0.00708051i
$580$	16.0996	+	5.85977i	0.668499	+	0.243314i
$581$	19.9720	−	39.2111i	0.828580	−	1.62675i
$582$	−10.2251	+	5.90349i	−0.423846	+	0.244707i
$583$	1.30864	+	1.55957i	0.0541982	+	0.0645909i
$584$	−1.25058	+	0.455172i	−0.0517492	+	0.0188352i
$585$	−4.21561	+	0.743326i	−0.174294	+	0.0307328i
$586$	4.16215	+	11.4354i	0.171937	+	0.472393i
$587$	−16.1899	−	44.4813i	−0.668228	−	1.83594i	−0.534994	−	0.844856i	$-0.679686\pi$
$587$	−16.1899	−	44.4813i	−0.668228	−	1.83594i	−0.133234	−	0.991085i	$-0.542536\pi$
$588$	−4.11610	−	5.66195i	−0.169745	−	0.233495i
$589$	−9.68273	+	13.4228i	−0.398970	+	0.553075i
$590$	3.57014	+	6.18367i	0.146980	+	0.254578i
$591$	−1.14660	+	6.50267i	−0.0471647	+	0.267484i
$592$	−6.42758	+	7.66010i	−0.264172	+	0.314828i
$593$	−4.17913	+	11.4821i	−0.171616	+	0.471511i	−0.995446	−	0.0953255i	$-0.969611\pi$
$593$	−4.17913	+	11.4821i	−0.171616	+	0.471511i	0.823830	+	0.566837i	$0.191833\pi$
$594$	0.682312	−	0.813148i	0.0279956	−	0.0333639i
$595$	−13.2723	+	3.06614i	−0.544113	+	0.125700i
$596$	0.714991	+	1.23840i	0.0292872	+	0.0507268i
$597$			16.1290i			0.660117i
$598$	2.30794	+	2.75049i	0.0943785	+	0.112476i
$599$	10.7341	+	12.7924i	0.438583	+	0.522682i	0.939378	−	0.342883i	$-0.111404\pi$
$599$	10.7341	+	12.7924i	0.438583	+	0.522682i	−0.500795	+	0.865566i	$0.666959\pi$
$600$			4.71705i			0.192573i
$601$	−9.45316	−	16.3734i	−0.385602	−	0.667883i	0.606250	−	0.795274i	$-0.292673\pi$
$601$	−9.45316	−	16.3734i	−0.385602	−	0.667883i	−0.991853	+	0.127391i	$0.959340\pi$
$602$	12.3216	−	11.4933i	0.502190	−	0.468433i
$603$	3.14016	−	3.74230i	0.127877	−	0.152398i
$604$	3.74081	−	10.2778i	0.152212	−	0.418198i
$605$	19.7831	−	23.5766i	0.804297	−	0.958524i
$606$	−2.10015	+	11.9106i	−0.0853130	+	0.483834i
$607$	−18.3799	−	31.8349i	−0.746017	−	1.29214i	−0.949718	−	0.313106i	$-0.898630\pi$
$607$	−18.3799	−	31.8349i	−0.746017	−	1.29214i	0.203701	−	0.979033i	$-0.434703\pi$
$608$	2.44972	+	3.60539i	0.0993494	+	0.146218i
$609$	6.59989	−	12.9576i	0.267441	−	0.525067i
$610$	−6.84976	−	18.8196i	−0.277339	−	0.761981i
$611$	−1.39590	−	3.83521i	−0.0564721	−	0.155156i
$612$	1.62657	−	0.286808i	0.0657502	−	0.0115935i
$613$	2.11716	−	0.770582i	0.0855112	−	0.0311235i	−0.298910	−	0.954281i	$-0.596623\pi$
$613$	2.11716	−	0.770582i	0.0855112	−	0.0311235i	0.384422	+	0.923158i	$0.374401\pi$
$614$	8.88284	+	10.5862i	0.358482	+	0.427223i
$615$	1.33217	−	0.769131i	0.0537184	−	0.0310144i
$616$	−1.52992	−	2.35514i	−0.0616421	−	0.0948911i
$617$	−27.0912	−	9.86038i	−1.09065	−	0.396964i	−0.266788	−	0.963755i	$-0.585962\pi$
$617$	−27.0912	−	9.86038i	−1.09065	−	0.396964i	−0.823861	+	0.566791i	$0.808185\pi$
$618$	13.6185	−	2.40130i	0.547815	−	0.0965946i
$619$	21.4240	−	12.3692i	0.861105	−	0.497159i	−0.00327732	−	0.999995i	$-0.501043\pi$
$619$	21.4240	−	12.3692i	0.861105	−	0.497159i	0.864382	+	0.502836i	$0.167710\pi$
$620$		−	11.8360i		−	0.475347i
$621$	2.00294	−	1.68067i	0.0803752	−	0.0674428i
$622$	−22.6095	−	18.9716i	−0.906560	−	0.760694i
$623$	2.14980	−	7.03523i	0.0861298	−	0.281861i
$624$	0.238458	−	1.35236i	0.00954597	−	0.0541379i
$625$	−20.1736	−	16.9276i	−0.806942	−	0.677105i
$626$	−4.56868	+	7.91318i	−0.182601	+	0.316274i
$627$	−3.22542	−	3.31739i	−0.128811	−	0.132484i
$628$	−10.7149	+	6.18626i	−0.427572	+	0.246859i
$629$	15.5199	−	5.64877i	0.618817	−	0.225231i
$630$	8.18605	+	1.00394i	0.326140	+	0.0399981i
$631$	35.5283	−	29.8117i	1.41436	−	1.18679i	0.460075	−	0.887880i	$-0.347822\pi$
$631$	35.5283	−	29.8117i	1.41436	−	1.18679i	0.954282	−	0.298907i	$-0.0966220\pi$
$632$	−0.517281	+	2.93364i	−0.0205763	+	0.116694i
$633$	8.64081	−	23.7404i	0.343441	−	0.943598i
$634$	29.3647			1.16622
$635$	64.9306			2.57669
$636$	0.655976	−	1.80228i	0.0260111	−	0.0714650i
$637$	9.32771	+	2.32285i	0.369577	+	0.0920347i
$638$	2.91707	−	5.05252i	0.115488	−	0.200031i
$639$	1.55776	+	0.899371i	0.0616239	+	0.0355786i
$640$	−2.92923	−	1.06615i	−0.115788	−	0.0421433i
$641$	−9.62846	−	26.4540i	−0.380301	−	1.04487i	−0.971230	−	0.238145i	$-0.923461\pi$
$641$	−9.62846	−	26.4540i	−0.380301	−	1.04487i	0.590928	−	0.806724i	$-0.298762\pi$
$642$	7.49807	+	2.72907i	0.295925	+	0.107708i
$643$	14.2389	+	2.51071i	0.561528	+	0.0990126i	0.447206	−	0.894431i	$-0.352419\pi$
$643$	14.2389	+	2.51071i	0.561528	+	0.0990126i	0.114322	+	0.993444i	$0.463530\pi$
$644$	−2.70387	−	6.36741i	−0.106547	−	0.250911i
$645$			19.8525i			0.781690i
$646$	−0.526596	−	7.18015i	−0.0207186	−	0.282499i
$647$	−22.2768	−	12.8615i	−0.875793	−	0.505639i	−0.00652392	−	0.999979i	$-0.502077\pi$
$647$	−22.2768	−	12.8615i	−0.875793	−	0.505639i	−0.869269	+	0.494339i	$0.835410\pi$
$648$	−0.984808	−	0.173648i	−0.0386869	−	0.00682154i
$649$	2.28481	−	0.831602i	0.0896866	−	0.0326432i
$650$	−4.16370	−	4.96211i	−0.163314	−	0.194630i
$651$	−9.97119	−	1.22287i	−0.390802	−	0.0479282i
$652$	3.98717	+	22.6124i	0.156150	+	0.885569i
$653$	17.4264	−	30.1833i	0.681946	−	1.18116i	−0.292440	−	0.956284i	$-0.594467\pi$
$653$	17.4264	−	30.1833i	0.681946	−	1.18116i	0.974386	−	0.224881i	$-0.0721994\pi$
$654$	−1.84120	−	3.18905i	−0.0719965	−	0.124702i
$655$	12.3252	−	10.3421i	0.481587	−	0.404100i
$656$	0.0856906	+	0.485976i	0.00334566	+	0.0189742i
$657$	−1.15254	−	0.665417i	−0.0449647	−	0.0259604i
$658$	0.412651	+	7.85256i	0.0160868	+	0.306125i
$659$	−13.4789	+	2.37670i	−0.525064	+	0.0925830i	−0.429896	−	0.902878i	$-0.641450\pi$
$659$	−13.4789	+	2.37670i	−0.525064	+	0.0925830i	−0.0951679	+	0.995461i	$0.530339\pi$
$660$	3.25862	+	0.574583i	0.126842	+	0.0223656i
$661$	8.57627	+	48.6384i	0.333578	+	1.89182i	0.440840	+	0.897585i	$0.354680\pi$
$661$	8.57627	+	48.6384i	0.333578	+	1.89182i	−0.107262	+	0.994231i	$0.534208\pi$
$662$	−4.47759	−	3.75714i	−0.174026	−	0.146026i
$663$	−1.45791	+	1.73747i	−0.0566206	+	0.0674778i
$664$	−16.6321			−0.645451
$665$	7.96290	−	35.0565i	0.308788	−	1.35943i
$666$	−9.99955			−0.387475
$667$	9.23727	−	11.0085i	0.357668	−	0.426253i
$668$	−15.5882	−	13.0800i	−0.603125	−	0.506082i
$669$	1.17290	+	6.65186i	0.0453470	+	0.257176i
$670$	14.9969	+	2.64437i	0.579382	+	0.102161i
$671$	−6.71619	+	1.18425i	−0.259276	+	0.0457173i
$672$	−1.20081	+	2.35755i	−0.0463223	+	0.0909445i
$673$	−22.0065	−	12.7054i	−0.848287	−	0.489759i	0.0117855	−	0.999931i	$-0.496248\pi$
$673$	−22.0065	−	12.7054i	−0.848287	−	0.489759i	−0.860072	+	0.510172i	$0.829582\pi$
$674$	−2.18757	−	12.4063i	−0.0842620	−	0.477874i
$675$	−3.61347	+	3.03206i	−0.139082	+	0.116704i
$676$	−5.55712	−	9.62522i	−0.213736	−	0.370201i
$677$	−23.5487	+	40.7875i	−0.905050	+	1.56759i	−0.0841988	+	0.996449i	$0.526833\pi$
$677$	−23.5487	+	40.7875i	−0.905050	+	1.56759i	−0.820851	+	0.571143i	$0.806500\pi$
$678$	1.04172	+	5.90789i	0.0400070	+	0.226891i
$679$	−18.7961	+	24.9507i	−0.721330	+	0.957519i
$680$	3.30945	+	3.94405i	0.126912	+	0.151248i
$681$	13.7653	−	5.01017i	0.527488	−	0.191990i
$682$	−3.96923	−	0.699883i	−0.151990	−	0.0267999i
$683$	−32.2114	−	18.5973i	−1.23254	−	0.711605i	−0.264978	−	0.964255i	$-0.585365\pi$
$683$	−32.2114	−	18.5973i	−1.23254	−	0.711605i	−0.967558	+	0.252650i	$0.918698\pi$
$684$	−1.18724	+	4.19410i	−0.0453952	+	0.160365i
$685$		−	3.66253i		−	0.139938i
$686$	−15.8790	−	9.53189i	−0.606264	−	0.363929i
$687$	−16.5264	−	2.91406i	−0.630523	−	0.111178i
$688$	−5.98458	−	2.17821i	−0.228160	−	0.0830434i
$689$	0.900803	+	2.47494i	0.0343179	+	0.0942876i
$690$	7.65891	+	2.78762i	0.291570	+	0.106123i
$691$	−17.2359	−	9.95115i	−0.655684	−	0.378560i	0.134946	−	0.990853i	$-0.456914\pi$
$691$	−17.2359	−	9.95115i	−0.655684	−	0.378560i	−0.790631	+	0.612293i	$0.790247\pi$
$692$	−0.537849	+	0.931583i	−0.0204460	+	0.0354135i
$693$	0.820727	−	2.68584i	0.0311768	−	0.102027i
$694$	7.57920	−	20.8237i	0.287703	−	0.790456i
$695$	69.0095			2.61768
$696$	−5.49619			−0.208333
$697$	0.278764	−	0.765897i	0.0105589	−	0.0290104i
$698$	−2.01452	+	11.4249i	−0.0762506	+	0.432439i
$699$	−11.4763	+	9.62975i	−0.434073	+	0.364231i
$700$	4.87800	+	11.4873i	0.184371	+	0.434180i
$701$	−27.5834	+	10.0395i	−1.04181	+	0.379188i	−0.805567	−	0.592505i	$-0.798139\pi$
$701$	−27.5834	+	10.0395i	−1.04181	+	0.379188i	−0.236245	+	0.971694i	$0.575917\pi$
$702$	1.18925	−	0.686613i	0.0448853	−	0.0259145i
$703$	−4.40884	+	43.3635i	−0.166282	+	1.63548i
$704$	−0.530744	+	0.919276i	−0.0200032	+	0.0346465i
$705$	−7.09712	−	5.95519i	−0.267293	−	0.224286i
$706$	−5.36205	+	30.4097i	−0.201803	+	1.14448i
$707$	7.20252	+	31.1774i	0.270879	+	1.17255i
$708$	−1.75470	−	1.47237i	−0.0659456	−	0.0553349i
$709$	−24.8914	+	20.8863i	−0.934815	+	0.784403i	−0.976675	−	0.214721i	$-0.931116\pi$
$709$	−24.8914	+	20.8863i	−0.934815	+	0.784403i	0.0418608	+	0.999123i	$0.486671\pi$
$710$			5.60707i			0.210430i
$711$	−2.57980	+	1.48945i	−0.0967502	+	0.0558587i
$712$	−2.73820	+	0.482819i	−0.102619	+	0.0180944i
$713$	−9.32910	−	3.39551i	−0.349377	−	0.127163i
$714$	3.66456	−	2.38053i	0.137143	−	0.0890892i
$715$	−3.93510	+	2.27193i	−0.147164	+	0.0849653i
$716$	−7.88115	−	9.39239i	−0.294533	−	0.351010i
$717$	10.5587	−	3.84304i	0.394321	−	0.143521i
$718$	30.2487	−	5.33366i	1.12887	−	0.199051i
$719$	−4.71607	−	12.9573i	−0.175880	−	0.483225i	0.820160	−	0.572134i	$-0.193884\pi$
$719$	−4.71607	−	12.9573i	−0.175880	−	0.483225i	−0.996040	+	0.0889088i	$0.971662\pi$
$720$	−1.06615	−	2.92923i	−0.0397331	−	0.109166i
$721$	30.6816	−	19.9310i	1.14264	−	0.742270i
$722$	17.6644	+	6.99770i	0.657402	+	0.260428i
$723$	13.4364	+	23.2724i	0.499703	+	0.865512i
$724$	2.13940	−	12.1331i	0.0795102	−	0.450925i
$725$	−16.6648	+	19.8603i	−0.618914	+	0.737593i
$726$	−3.37685	+	9.27781i	−0.125327	+	0.344332i
$727$	−1.66523	+	1.98455i	−0.0617600	+	0.0736028i	−0.796040	−	0.605244i	$-0.793076\pi$
$727$	−1.66523	+	1.98455i	−0.0617600	+	0.0736028i	0.734280	+	0.678847i	$0.237520\pi$
$728$	−0.817797	−	3.53998i	−0.0303096	−	0.131200i
$729$	−0.500000	−	0.866025i	−0.0185185	−	0.0320750i
$730$		−	4.14850i		−	0.153543i
$731$	6.76140	+	8.05792i	0.250079	+	0.298033i
$732$	4.12975	+	4.92164i	0.152640	+	0.181909i
$733$		−	7.89814i		−	0.291724i	−0.989305	−	0.145862i	$-0.953404\pi$
$733$		−	7.89814i		−	0.291724i	0.989305	−	0.145862i	$-0.0465956\pi$
$734$	−12.8883	−	22.3231i	−0.475715	−	0.823962i
$735$	20.9735	−	6.02049i	0.773620	−	0.222069i
$736$	−1.68067	+	2.00294i	−0.0619502	+	0.0738294i
$737$	1.77358	−	4.87288i	0.0653307	−	0.179495i
$738$	−0.317198	+	0.378022i	−0.0116762	+	0.0139152i
$739$	−6.65478	+	37.7411i	−0.244800	+	1.38833i	0.576156	+	0.817339i	$0.304552\pi$
$739$	−6.65478	+	37.7411i	−0.244800	+	1.38833i	−0.820957	+	0.570991i	$0.806559\pi$
$740$	−15.5854	−	26.9947i	−0.572930	−	0.992344i
$741$	−2.45318	−	5.45996i	−0.0901199	−	0.200577i
$742$	−0.266292	−	5.06741i	−0.00977588	−	0.186031i
$743$	−0.801846	−	2.20306i	−0.0294169	−	0.0808223i	0.924115	−	0.382115i	$-0.124804\pi$
$743$	−0.801846	−	2.20306i	−0.0294169	−	0.0808223i	−0.953532	+	0.301293i	$0.902582\pi$
$744$	1.29865	+	3.56800i	0.0476107	+	0.130809i
$745$	−4.38984	+	0.774048i	−0.160831	+	0.0283589i
$746$	21.8484	−	7.95216i	0.799926	−	0.291149i
$747$	−10.6909	−	12.7409i	−0.391160	−	0.466167i
$748$	1.51834	−	0.876611i	0.0555158	−	0.0320521i
$749$	21.0821	−	1.10786i	0.770323	−	0.0404804i
$750$	0.828838	+	0.301672i	0.0302649	+	0.0110155i
$751$	36.6239	−	6.45778i	1.33643	−	0.235648i	0.540654	−	0.841245i	$-0.318177\pi$
$751$	36.6239	−	6.45778i	1.33643	−	0.235648i	0.795771	+	0.605597i	$0.207066\pi$
$752$	2.57390	−	1.48604i	0.0938605	−	0.0541904i
$753$		−	8.65865i		−	0.315539i
$754$	5.78173	−	4.85145i	0.210558	−	0.176679i
$755$	26.1177	+	21.9154i	0.950522	+	0.797583i
$756$	−2.57786	+	0.595530i	−0.0937557	+	0.0216592i
$757$	−0.934240	+	5.29834i	−0.0339555	+	0.192571i	−0.997067	−	0.0765306i	$-0.975616\pi$
$757$	−0.934240	+	5.29834i	−0.0339555	+	0.192571i	0.963112	+	0.269102i	$0.0867268\pi$
$758$	6.34329	+	5.32266i	0.230399	+	0.193328i
$759$	1.38771	−	2.40359i	0.0503708	−	0.0872448i
$760$	−13.1728	+	3.33190i	−0.477827	+	0.120861i
$761$	−15.4977	+	8.94759i	−0.561790	+	0.324350i	−0.753864	−	0.657031i	$-0.771812\pi$
$761$	−15.4977	+	8.94759i	−0.561790	+	0.324350i	0.192073	+	0.981381i	$0.438479\pi$
$762$	−19.5735	+	7.12417i	−0.709073	+	0.258081i
$763$	−7.78170	−	5.86220i	−0.281716	−	0.212226i
$764$	−11.8389	+	9.93402i	−0.428316	+	0.359400i
$765$	−0.894044	+	5.07038i	−0.0323242	+	0.183320i
$766$	−9.00493	+	24.7409i	−0.325362	+	0.893923i
$767$	3.14551			0.113578
$768$	1.00000			0.0360844
$769$	−8.35364	+	22.9514i	−0.301240	+	0.827650i	0.693045	+	0.720894i	$0.256269\pi$
$769$	−8.35364	+	22.9514i	−0.301240	+	0.827650i	−0.994285	+	0.106756i	$0.965954\pi$
$770$	8.52985	−	1.97054i	0.307394	−	0.0710135i
$771$	8.92778	−	15.4634i	0.321526	−	0.556899i
$772$	0.849698	+	0.490573i	0.0305813	+	0.0176561i
$773$	45.2229	+	16.4598i	1.62656	+	0.592018i	0.984615	−	0.174736i	$-0.0559072\pi$
$773$	45.2229	+	16.4598i	1.62656	+	0.592018i	0.641941	+	0.766754i	$0.278129\pi$
$774$	−2.17821	−	5.98458i	−0.0782941	−	0.215111i
$775$	16.8304	+	6.12578i	0.604567	+	0.220044i
$776$	11.6276	+	2.05026i	0.417406	+	0.0736000i
$777$	−24.3517	+	10.3408i	−0.873612	+	0.370972i
$778$		−	10.1431i		−	0.363649i
$779$	1.49945	+	1.54221i	0.0537235	+	0.0552556i
$780$	3.70715	+	2.14032i	0.132737	+	0.0766358i
$781$	1.88034	+	0.331554i	0.0672837	+	0.0118639i
$782$	4.05809	−	1.47702i	0.145117	−	0.0528183i
$783$	−3.53288	−	4.21033i	−0.126255	−	0.150465i
$784$	−0.486317	+	6.98309i	−0.0173685	+	0.249396i
$785$	−6.69724	−	37.9819i	−0.239035	−	1.35563i
$786$	−2.58074	+	4.46998i	−0.0920520	+	0.159439i
$787$	−1.04087	−	1.80284i	−0.0371030	−	0.0642644i	0.846878	−	0.531788i	$-0.178480\pi$
$787$	−1.04087	−	1.80284i	−0.0371030	−	0.0642644i	−0.883981	+	0.467524i	$0.845146\pi$
$788$	5.05818	−	4.24432i	0.180190	−	0.151198i
$789$	−3.18411	−	18.0580i	−0.113357	−	0.642881i
$790$	−8.04181	−	4.64294i	−0.286115	−	0.165188i
$791$	8.64636	+	13.3101i	0.307429	+	0.473253i
$792$	−1.04536	+	0.184326i	−0.0371453	+	0.00654973i
$793$	−8.68860	−	1.53203i	−0.308541	−	0.0544041i
$794$	−1.21409	−	6.88543i	−0.0430863	−	0.244355i
$795$	4.57991	+	3.84300i	0.162433	+	0.136297i
$796$	10.3675	−	12.3555i	0.367468	−	0.437931i
$797$	10.3981			0.368318			0.184159	−	0.982896i	$-0.441044\pi$
$797$	10.3981			0.368318			0.184159	+	0.982896i	$0.441044\pi$
$798$	1.44595	+	11.4416i	0.0511862	+	0.405027i
$799$	−4.90888			−0.173664
$800$	3.03206	−	3.61347i	0.107199	−	0.127755i
$801$	−2.12994	−	1.78724i	−0.0752579	−	0.0631489i
$802$	1.37088	+	7.77467i	0.0484076	+	0.274533i
$803$	−1.39120	−	0.245307i	−0.0490945	−	0.00865669i
$804$	−4.81100	+	0.848309i	−0.169671	+	0.0299176i
$805$	21.5343	−	1.13163i	0.758986	−	0.0398846i
$806$	−4.51557	−	2.60706i	−0.159054	−	0.0918299i
$807$	1.35145	+	7.66443i	0.0475732	+	0.269801i
$808$	9.26478	−	7.77407i	0.325934	−	0.273491i
$809$	17.4198	+	30.1720i	0.612449	+	1.06079i	0.990826	+	0.135141i	$0.0431488\pi$
$809$	17.4198	+	30.1720i	0.612449	+	1.06079i	−0.378377	+	0.925651i	$0.623518\pi$
$810$	1.55861	−	2.69959i	0.0547639	−	0.0948539i
$811$	−0.192927	−	1.09414i	−0.00677458	−	0.0384205i	0.981233	−	0.192825i	$-0.0617651\pi$
$811$	−0.192927	−	1.09414i	−0.00677458	−	0.0384205i	−0.988008	+	0.154405i	$0.950654\pi$
$812$	−13.3848	+	5.68374i	−0.469713	+	0.199460i
$813$	9.68187	+	11.5384i	0.339558	+	0.404669i
$814$	−9.97428	+	3.63034i	−0.349598	+	0.127243i
$815$	−70.4877	−	12.4289i	−2.46908	−	0.435365i
$816$	−1.43038	−	0.825832i	−0.0500734	−	0.0289099i
$817$	−26.9127	+	6.80727i	−0.941558	+	0.238156i
$818$			6.56395i			0.229503i
$819$	2.18611	−	2.90192i	0.0763889	−	0.101401i
$820$	−1.51489	−	0.267116i	−0.0529023	−	0.00932811i
$821$	−7.80388	−	2.84038i	−0.272357	−	0.0991300i	0.202231	−	0.979338i	$-0.435181\pi$
$821$	−7.80388	−	2.84038i	−0.272357	−	0.0991300i	−0.474588	+	0.880208i	$0.657403\pi$
$822$	0.401852	+	1.10408i	0.0140162	+	0.0385091i
$823$	40.9971	+	14.9217i	1.42907	+	0.520139i	0.936665	−	0.350228i	$-0.113896\pi$
$823$	40.9971	+	14.9217i	1.42907	+	0.520139i	0.492405	+	0.870366i	$0.336118\pi$
$824$	−11.9759	−	6.91428i	−0.417200	−	0.240870i
$825$	−2.50355	+	4.33627i	−0.0871623	+	0.150969i
$826$	−5.79579	−	1.77105i	−0.201661	−	0.0616228i
$827$	−7.53704	+	20.7078i	−0.262088	+	0.720082i	0.736938	+	0.675961i	$0.236271\pi$
$827$	−7.53704	+	20.7078i	−0.262088	+	0.720082i	−0.999026	+	0.0441214i	$0.985951\pi$
$828$	−2.61465			−0.0908655
$829$	−23.3382			−0.810570			−0.405285	−	0.914190i	$-0.632828\pi$
$829$	−23.3382			−0.810570			−0.405285	+	0.914190i	$0.632828\pi$
$830$	17.7323	−	48.7192i	0.615499	−	1.69107i
$831$	1.85393	−	10.5141i	0.0643121	−	0.364732i
$832$	−1.05195	+	0.882693i	−0.0364699	+	0.0306019i
$833$	6.46247	−	9.58687i	0.223911	−	0.332165i
$834$	−20.8031	+	7.57170i	−0.720352	+	0.262187i
$835$	54.9338	−	31.7160i	1.90106	−	1.09758i
$836$	0.338432	+	4.61453i	0.0117049	+	0.159597i
$837$	−1.89850	+	3.28829i	−0.0656216	+	0.113660i
$838$	−24.2427	−	20.3421i	−0.837451	−	0.702705i
$839$	−1.09886	+	6.23193i	−0.0379368	+	0.215150i	−0.997883	−	0.0650340i	$-0.979284\pi$
$839$	−1.09886	+	6.23193i	−0.0379368	+	0.215150i	0.959946	+	0.280184i	$0.0903955\pi$
$840$	−5.62556	−	6.03096i	−0.194100	−	0.208088i
$841$	−0.925479	−	0.776569i	−0.0319131	−	0.0267782i
$842$	−26.6846	+	22.3910i	−0.919612	+	0.771646i
$843$			4.42060i			0.152253i
$844$	−21.8793	+	12.6320i	−0.753117	+	0.434812i
$845$	34.1192	−	6.01613i	1.17374	−	0.206961i
$846$	2.79285	+	1.01651i	0.0960200	+	0.0349484i
$847$	1.37082	+	26.0861i	0.0471020	+	0.896331i
$848$	−1.66099	+	0.958973i	−0.0570386	+	0.0329313i
$849$	−6.68629	−	7.96841i	−0.229473	−	0.273475i
$850$	−7.32112	+	2.66467i	−0.251112	+	0.0913974i
$851$	−25.7481	+	4.54009i	−0.882635	+	0.155632i
$852$	−0.615206	−	1.69026i	−0.0210766	−	0.0579075i
$853$	15.9256	+	43.7552i	0.545281	+	1.49815i	0.840012	+	0.542568i	$0.182548\pi$
$853$	15.9256	+	43.7552i	0.545281	+	1.49815i	−0.294731	+	0.955580i	$0.595230\pi$
$854$	15.1467	+	7.71492i	0.518309	+	0.263999i
$855$	−11.0197	−	7.94923i	−0.376865	−	0.271858i
$856$	−3.98964	−	6.91026i	−0.136363	−	0.236188i
$857$	−5.81280	+	32.9660i	−0.198562	+	1.12610i	0.708693	+	0.705517i	$0.249285\pi$
$857$	−5.81280	+	32.9660i	−0.198562	+	1.12610i	−0.907255	+	0.420582i	$0.861826\pi$
$858$	0.936969	−	1.11664i	0.0319876	−	0.0381213i
$859$	19.1279	−	52.5535i	0.652636	−	1.79310i	0.0448632	−	0.998993i	$-0.485715\pi$
$859$	19.1279	−	52.5535i	0.652636	−	1.79310i	0.607773	−	0.794111i	$-0.292063\pi$
$860$	12.7609	−	15.2079i	0.435144	−	0.518584i
$861$	−0.381545	+	1.24861i	−0.0130030	+	0.0425526i
$862$	−0.696577	−	1.20651i	−0.0237255	−	0.0410938i
$863$			25.6570i			0.873373i	0.899614	+	0.436686i	$0.143848\pi$
$863$			25.6570i			0.873373i	−0.899614	+	0.436686i	$0.856152\pi$
$864$	0.642788	+	0.766044i	0.0218681	+	0.0260614i
$865$	−2.15539	−	2.56869i	−0.0732854	−	0.0873381i
$866$		−	39.1047i		−	1.32883i
$867$	−7.13600	−	12.3599i	−0.242351	−	0.419765i
$868$	6.85232	+	7.34613i	0.232583	+	0.249344i
$869$	−2.03254	+	2.42229i	−0.0689492	+	0.0821704i
$870$	5.85977	−	16.0996i	0.198665	−	0.545827i
$871$	4.31215	−	5.13902i	0.146112	−	0.174129i
$872$	−0.639441	+	3.62645i	−0.0216542	+	0.122807i
$873$	5.90349	+	10.2251i	0.199803	+	0.346068i
$874$	−1.15281	+	11.3386i	−0.0389944	+	0.383532i
$875$	2.33042	−	0.122463i	0.0787826	−	0.00414001i
$876$	0.455172	+	1.25058i	0.0153788	+	0.0422530i
$877$	−3.99019	−	10.9629i	−0.134739	−	0.370192i	0.853913	−	0.520416i	$-0.174223\pi$
$877$	−3.99019	−	10.9629i	−0.134739	−	0.370192i	−0.988652	+	0.150223i	$0.952001\pi$
$878$	−20.5897	+	3.63052i	−0.694868	+	0.122524i
$879$	11.4354	−	4.16215i	0.385707	−	0.140386i
$880$	−2.12691	−	2.53476i	−0.0716983	−	0.0854467i
$881$	33.1707	−	19.1511i	1.11755	−	0.645218i	0.176775	−	0.984251i	$-0.443433\pi$
$881$	33.1707	−	19.1511i	1.11755	−	0.645218i	0.940774	+	0.339034i	$0.110100\pi$
$882$	−5.66195	+	4.11610i	−0.190648	+	0.138596i
$883$	5.30607	+	1.93125i	0.178563	+	0.0649918i	0.429755	−	0.902946i	$-0.358600\pi$
$883$	5.30607	+	1.93125i	0.178563	+	0.0649918i	−0.251191	+	0.967938i	$0.580822\pi$
$884$	2.23365	−	0.393853i	0.0751258	−	0.0132467i
$885$	6.18367	−	3.57014i	0.207862	−	0.120009i
$886$		−	41.5109i		−	1.39459i
$887$	−20.2646	+	17.0040i	−0.680417	+	0.570938i	−0.916128	−	0.400885i	$-0.868703\pi$
$887$	−20.2646	+	17.0040i	−0.680417	+	0.570938i	0.235711	+	0.971823i	$0.424258\pi$
$888$	7.66010	+	6.42758i	0.257056	+	0.215696i
$889$	−40.2997	+	37.5907i	−1.35161	+	1.26075i
$890$	1.50505	−	8.53558i	0.0504495	−	0.286113i
$891$	−0.813148	−	0.682312i	−0.0272415	−	0.0228583i
$892$	3.37724	−	5.84955i	0.113078	−	0.195857i
$893$	5.63953	−	11.6631i	0.188720	−	0.390291i
$894$	1.23840	−	0.714991i	0.0414183	−	0.0239129i
$895$	35.9149	−	13.0720i	1.20050	−	0.436948i
$896$	2.43528	−	1.03412i	0.0813570	−	0.0345476i
$897$	2.75049	−	2.30794i	0.0918362	−	0.0770597i
$898$	5.35978	−	30.3968i	0.178858	−	1.01436i
$899$	−7.13762	+	19.6104i	−0.238053	+	0.654045i
$900$	4.71705			0.157235
$901$	3.16780			0.105535
$902$	−0.179156	+	0.492226i	−0.00596523	+	0.0163893i
$903$	−11.4933	−	12.3216i	−0.382474	−	0.410037i
$904$	2.99951	−	5.19531i	0.0997623	−	0.172793i
$905$	33.2598	+	19.2026i	1.10559	+	0.638314i
$906$	−10.2778	−	3.74081i	−0.341457	−	0.124280i
$907$	3.48232	+	9.56758i	0.115628	+	0.317686i	0.983984	−	0.178255i	$-0.0570452\pi$
$907$	3.48232	+	9.56758i	0.115628	+	0.317686i	−0.868356	+	0.495942i	$0.834823\pi$
$908$	−13.7653	−	5.01017i	−0.456818	−	0.166268i
$909$	11.9106	+	2.10015i	0.395049	+	0.0696577i
$910$	11.2413	+	1.37864i	0.372645	+	0.0457015i
$911$		−	59.1178i		−	1.95866i	−0.202267	−	0.979330i	$-0.564831\pi$
$911$		−	59.1178i		−	1.95866i	0.202267	−	0.979330i	$-0.435169\pi$
$912$	3.60539	−	2.44972i	0.119386	−	0.0811185i
$913$	−15.2895	−	8.82740i	−0.506009	−	0.292144i
$914$	18.2973	+	3.22631i	0.605221	+	0.106717i
$915$	−18.8196	+	6.84976i	−0.622155	+	0.226446i
$916$	10.7869	+	12.8553i	0.356408	+	0.424751i
$917$	−1.66233	+	13.5545i	−0.0548949	+	0.447607i
$918$	−0.286808	−	1.62657i	−0.00946609	−	0.0536848i
$919$	−7.82846	+	13.5593i	−0.258237	+	0.447280i	−0.965770	−	0.259401i	$-0.916475\pi$
$919$	−7.82846	+	13.5593i	−0.258237	+	0.447280i	0.707533	+	0.706681i	$0.249808\pi$
$920$	−4.07522	−	7.05849i	−0.134356	−	0.232712i
$921$	10.5862	−	8.88284i	0.348826	−	0.292700i
$922$	−1.88716	−	10.7026i	−0.0621504	−	0.352472i
$923$	2.13915	+	1.23504i	0.0704110	+	0.0406518i
$924$	−2.35514	+	1.52992i	−0.0774783	+	0.0503306i
$925$	46.4517	−	8.19069i	1.52732	−	0.269308i
$926$	−8.97137	−	1.58189i	−0.294818	−	0.0519843i
$927$	−2.40130	−	13.6185i	−0.0788692	−	0.447289i
$928$	4.21033	+	3.53288i	0.138211	+	0.115973i
$929$	−22.1099	+	26.3496i	−0.725403	+	0.864502i	−0.995144	−	0.0984311i	$-0.968618\pi$
$929$	−22.1099	+	26.3496i	−0.725403	+	0.864502i	0.269741	+	0.962933i	$0.413062\pi$
$930$	−11.8360			−0.388119
$931$	15.3533	+	26.3681i	0.503183	+	0.864180i
$932$	14.9812			0.490727
$933$	−18.9716	+	22.6095i	−0.621104	+	0.740203i
$934$	−19.0675	−	15.9995i	−0.623908	−	0.523521i
$935$	0.949018	+	5.38215i	0.0310362	+	0.176015i
$936$	−1.35236	−	0.238458i	−0.0442034	−	0.00779425i
$937$	30.0696	−	5.30209i	0.982332	−	0.173212i	0.340656	−	0.940188i	$-0.389351\pi$
$937$	30.0696	−	5.30209i	0.982332	−	0.173212i	0.641676	+	0.766976i	$0.278240\pi$
$938$	−10.8389	+	7.04104i	−0.353902	+	0.229898i
$939$	7.91318	+	4.56868i	0.258237	+	0.149093i
$940$	1.60879	+	9.12388i	0.0524728	+	0.297588i
$941$	−21.6738	+	18.1865i	−0.706545	+	0.592862i	−0.923627	−	0.383292i	$-0.874790\pi$
$941$	−21.6738	+	18.1865i	−0.706545	+	0.592862i	0.217082	+	0.976153i	$0.430346\pi$
$942$	6.18626	+	10.7149i	0.201559	+	0.349111i
$943$	−0.645130	+	1.11740i	−0.0210083	+	0.0363875i
$944$	0.397758	+	2.25580i	0.0129459	+	0.0734199i
$945$	1.00394	−	8.18605i	0.0326583	−	0.266292i
$946$	−4.34541	−	5.17866i	−0.141281	−	0.168373i
$947$	−1.23313	+	0.448823i	−0.0400714	+	0.0145848i	−0.361978	−	0.932187i	$-0.617898\pi$
$947$	−1.23313	+	0.448823i	−0.0400714	+	0.0145848i	0.321907	+	0.946771i	$0.395676\pi$
$948$	2.93364	+	0.517281i	0.0952803	+	0.0168005i
$949$	−1.58269	−	0.913768i	−0.0513764	−	0.0296622i
$950$	2.07976	−	20.4557i	0.0674764	−	0.663670i
$951$		−	29.3647i		−	0.952217i
$952$	−4.33739	−	0.531941i	−0.140576	−	0.0172403i
$953$	−25.5872	−	4.51171i	−0.828850	−	0.146149i	−0.256901	−	0.966438i	$-0.582701\pi$
$953$	−25.5872	−	4.51171i	−0.828850	−	0.146149i	−0.571949	+	0.820289i	$0.693812\pi$
$954$	−1.80228	−	0.655976i	−0.0583509	−	0.0212380i
$955$	−16.4769	−	45.2700i	−0.533181	−	1.46490i
$956$	−10.5587	−	3.84304i	−0.341492	−	0.124293i
$957$	−5.05252	−	2.91707i	−0.163325	−	0.0942956i
$958$	11.2652	−	19.5119i	0.363962	−	0.630400i
$959$	2.12037	+	2.27318i	0.0684704	+	0.0734047i
$960$	−1.06615	+	2.92923i	−0.0344099	+	0.0945404i
$961$	−16.5829			−0.534931
$962$	−13.7316			−0.442726
$963$	2.72907	−	7.49807i	0.0879432	−	0.241622i
$964$	4.66640	−	26.4645i	0.150295	−	0.852363i
$965$	−2.34291	+	1.96593i	−0.0754208	+	0.0632856i
$966$	−6.36741	+	2.70387i	−0.204868	+	0.0869956i
$967$	−12.5655	+	4.57347i	−0.404079	+	0.147073i	−0.536061	−	0.844179i	$-0.680088\pi$
$967$	−12.5655	+	4.57347i	−0.404079	+	0.147073i	0.131982	+	0.991252i	$0.457866\pi$
$968$	8.55048	−	4.93662i	0.274823	−	0.158669i
$969$	−7.18015	+	0.526596i	−0.230660	+	0.0169167i
$970$	−18.4024	+	31.8740i	−0.590867	+	1.02341i
$971$	20.7498	+	17.4111i	0.665892	+	0.558750i	0.911846	−	0.410532i	$-0.134657\pi$
$971$	20.7498	+	17.4111i	0.665892	+	0.558750i	−0.245954	+	0.969281i	$0.579101\pi$
$972$	−0.173648	+	0.984808i	−0.00556977	+	0.0315877i
$973$	−42.8313	+	39.9521i	−1.37311	+	1.28081i
$974$	−20.9292	−	17.5617i	−0.670614	−	0.562712i
$975$	−4.96211	+	4.16370i	−0.158915	+	0.133345i
$976$		−	6.42475i		−	0.205651i
$977$	−38.6111	+	22.2922i	−1.23528	+	0.713189i	−0.968126	−	0.250465i	$-0.919417\pi$
$977$	−38.6111	+	22.2922i	−1.23528	+	0.713189i	−0.267154	+	0.963654i	$0.586083\pi$
$978$	22.6124	−	3.98717i	0.723064	−	0.127496i
$979$	−2.77342	−	1.00944i	−0.0886389	−	0.0322619i
$980$	−19.9366	−	8.86956i	−0.636850	−	0.283328i
$981$	−3.18905	+	1.84120i	−0.101818	+	0.0587849i
$982$	−25.5031	−	30.3934i	−0.813837	−	0.969893i
$983$	−3.70681	+	1.34917i	−0.118229	+	0.0430317i	−0.400457	−	0.916316i	$-0.631149\pi$
$983$	−3.70681	+	1.34917i	−0.118229	+	0.0430317i	0.282228	+	0.959347i	$0.408926\pi$
$984$	0.485976	−	0.0856906i	0.0154923	−	0.00273172i
$985$	7.03978	+	19.3416i	0.224306	+	0.616276i
$986$	−3.10481	−	8.53040i	−0.0988773	−	0.271663i
$987$	7.85256	−	0.412651i	0.249950	−	0.0131348i
$988$	−1.63035	+	5.75945i	−0.0518682	+	0.183232i
$989$	−8.32591	−	14.4209i	−0.264749	−	0.458558i
$990$	0.574583	−	3.25862i	0.0182614	−	0.103566i
$991$	17.8407	−	21.2617i	0.566729	−	0.675401i	−0.404227	−	0.914659i	$-0.632460\pi$
$991$	17.8407	−	21.2617i	0.566729	−	0.675401i	0.970956	+	0.239257i	$0.0769040\pi$
$992$	1.29865	−	3.56800i	0.0412321	−	0.113284i
$993$	−3.75714	+	4.47759i	−0.119229	+	0.142092i
$994$	−3.24614	−	3.48007i	−0.102961	−	0.110381i
$995$	25.1388	+	43.5417i	0.796955	+	1.38037i
$996$			16.6321i			0.527009i
$997$	−0.469407	−	0.559418i	−0.0148663	−	0.0177169i	0.758560	−	0.651603i	$-0.225903\pi$
$997$	−0.469407	−	0.559418i	−0.0148663	−	0.0177169i	−0.773426	+	0.633886i	$0.781459\pi$
$998$	−11.4185	−	13.6080i	−0.361446	−	0.430755i
$999$			9.99955i			0.316372i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	798.2.ca.b.451.6	✓	84
7.5	odd	6		798.2.cj.b.565.13	yes	84
19.15	odd	18		798.2.cj.b.661.13	yes	84
133.110	even	18	inner	798.2.ca.b.775.6	yes	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
798.2.ca.b.451.6	✓	84	1.1	even	1	trivial
798.2.ca.b.775.6	yes	84	133.110	even	18	inner
798.2.cj.b.565.13	yes	84	7.5	odd	6
798.2.cj.b.661.13	yes	84	19.15	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:	\( N \)	\(=\)	\( 798 = 2 \cdot 3 \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	798.ca (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.642788 + 0.766044i) q^{2} +(0.766044 + 0.642788i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(3.06986 + 0.541299i) q^{5} +(-0.984808 + 0.173648i) q^{6} +(-2.21871 + 1.44129i) q^{7} +(0.866025 + 0.500000i) q^{8} +(0.173648 + 0.984808i) q^{9} +O(q^{10})\)	\(q+(-0.642788 + 0.766044i) q^{2} +(0.766044 + 0.642788i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(3.06986 + 0.541299i) q^{5} +(-0.984808 + 0.173648i) q^{6} +(-2.21871 + 1.44129i) q^{7} +(0.866025 + 0.500000i) q^{8} +(0.173648 + 0.984808i) q^{9} +(-2.38793 + 2.00371i) q^{10} +(0.530744 + 0.919276i) q^{11} +(0.500000 - 0.866025i) q^{12} +(0.238458 + 1.35236i) q^{13} +(0.322064 - 2.62608i) q^{14} +(2.00371 + 2.38793i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(1.62657 + 0.286808i) q^{17} +(-0.866025 - 0.500000i) q^{18} +(-2.55011 + 3.53510i) q^{19} -3.11722i q^{20} +(-2.62608 - 0.322064i) q^{21} +(-1.04536 - 0.184326i) q^{22} +(-2.45697 - 0.894264i) q^{23} +(0.342020 + 0.939693i) q^{24} +(4.43257 + 1.61332i) q^{25} +(-1.18925 - 0.686613i) q^{26} +(-0.500000 + 0.866025i) q^{27} +(1.80467 + 1.93472i) q^{28} +(-1.87981 + 5.16473i) q^{29} -3.11722 q^{30} +3.79699 q^{31} +(0.342020 - 0.939693i) q^{32} +(-0.184326 + 1.04536i) q^{33} +(-1.26525 + 1.06167i) q^{34} +(-7.59130 + 3.22358i) q^{35} +(0.939693 - 0.342020i) q^{36} +(8.65986 - 4.99977i) q^{37} +(-1.06887 - 4.22582i) q^{38} +(-0.686613 + 1.18925i) q^{39} +(2.38793 + 2.00371i) q^{40} +(0.0856906 - 0.485976i) q^{41} +(1.93472 - 1.80467i) q^{42} +(4.87867 + 4.09369i) q^{43} +(0.813148 - 0.682312i) q^{44} +3.11722i q^{45} +(2.26436 - 1.30733i) q^{46} +(-2.92693 + 0.516097i) q^{47} +(-0.939693 - 0.342020i) q^{48} +(2.84534 - 6.39562i) q^{49} +(-4.08508 + 2.35852i) q^{50} +(1.06167 + 1.26525i) q^{51} +(1.29041 - 0.469671i) q^{52} +(1.88881 - 0.333048i) q^{53} +(-0.342020 - 0.939693i) q^{54} +(1.13171 + 3.10934i) q^{55} +(-2.64211 + 0.138842i) q^{56} +(-4.22582 + 1.06887i) q^{57} +(-2.74810 - 4.75984i) q^{58} +(0.397758 - 2.25580i) q^{59} +(2.00371 - 2.38793i) q^{60} +(-2.19739 + 6.03729i) q^{61} +(-2.44066 + 2.90866i) q^{62} +(-1.80467 - 1.93472i) q^{63} +(0.500000 + 0.866025i) q^{64} +4.28064i q^{65} +(-0.682312 - 0.813148i) q^{66} +(-3.14016 - 3.74230i) q^{67} -1.65166i q^{68} +(-1.30733 - 2.26436i) q^{69} +(2.41018 - 7.88735i) q^{70} +(1.15621 - 1.37792i) q^{71} +(-0.342020 + 0.939693i) q^{72} +(-0.855444 + 1.01948i) q^{73} +(-1.73640 + 9.84763i) q^{74} +(2.35852 + 4.08508i) q^{75} +(3.92422 + 1.89750i) q^{76} +(-2.50252 - 1.27465i) q^{77} +(-0.469671 - 1.29041i) q^{78} +(1.01884 + 2.79925i) q^{79} +(-3.06986 + 0.541299i) q^{80} +(-0.939693 + 0.342020i) q^{81} +(0.317198 + 0.378022i) q^{82} +(-14.4038 + 8.31606i) q^{83} +(0.138842 + 2.64211i) q^{84} +(4.83810 + 1.76092i) q^{85} +(-6.27190 + 1.10590i) q^{86} +(-4.75984 + 2.74810i) q^{87} +1.06149i q^{88} +(-2.12994 + 1.78724i) q^{89} +(-2.38793 - 2.00371i) q^{90} +(-2.47822 - 2.65681i) q^{91} +(-0.454030 + 2.57493i) q^{92} +(2.90866 + 2.44066i) q^{93} +(1.48604 - 2.57390i) q^{94} +(-9.74202 + 9.47191i) q^{95} +(0.866025 - 0.500000i) q^{96} +(11.0949 - 4.03822i) q^{97} +(3.07038 + 6.29069i) q^{98} +(-0.813148 + 0.682312i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q - 6 q^{7}+O(q^{10}) \) 84 * q - 6 * q^7	\( 84 q - 6 q^{7} - 6 q^{10} + 6 q^{11} + 42 q^{12} - 24 q^{13} + 18 q^{17} - 6 q^{19} - 6 q^{21} + 12 q^{22} + 30 q^{23} + 24 q^{25} + 18 q^{26} - 42 q^{27} - 6 q^{28} + 12 q^{31} + 6 q^{33} + 30 q^{34} + 12 q^{35} + 18 q^{37} + 24 q^{38} + 6 q^{40} - 36 q^{41} - 6 q^{42} + 12 q^{43} - 6 q^{44} + 18 q^{46} + 18 q^{47} + 12 q^{49} - 30 q^{52} - 12 q^{53} + 30 q^{55} + 18 q^{56} + 6 q^{57} + 6 q^{59} + 36 q^{61} + 12 q^{62} + 6 q^{63} + 42 q^{64} + 6 q^{66} - 12 q^{67} - 6 q^{69} - 18 q^{70} + 42 q^{71} - 6 q^{73} + 48 q^{75} - 18 q^{76} - 96 q^{77} - 12 q^{78} - 6 q^{79} - 12 q^{82} - 54 q^{83} + 6 q^{84} - 24 q^{85} - 30 q^{86} + 24 q^{89} - 6 q^{90} + 42 q^{91} + 42 q^{92} + 36 q^{93} - 18 q^{94} + 24 q^{95} + 78 q^{97} + 12 q^{98} + 6 q^{99}+O(q^{100}) \) 84 * q - 6 * q^7 - 6 * q^10 + 6 * q^11 + 42 * q^12 - 24 * q^13 + 18 * q^17 - 6 * q^19 - 6 * q^21 + 12 * q^22 + 30 * q^23 + 24 * q^25 + 18 * q^26 - 42 * q^27 - 6 * q^28 + 12 * q^31 + 6 * q^33 + 30 * q^34 + 12 * q^35 + 18 * q^37 + 24 * q^38 + 6 * q^40 - 36 * q^41 - 6 * q^42 + 12 * q^43 - 6 * q^44 + 18 * q^46 + 18 * q^47 + 12 * q^49 - 30 * q^52 - 12 * q^53 + 30 * q^55 + 18 * q^56 + 6 * q^57 + 6 * q^59 + 36 * q^61 + 12 * q^62 + 6 * q^63 + 42 * q^64 + 6 * q^66 - 12 * q^67 - 6 * q^69 - 18 * q^70 + 42 * q^71 - 6 * q^73 + 48 * q^75 - 18 * q^76 - 96 * q^77 - 12 * q^78 - 6 * q^79 - 12 * q^82 - 54 * q^83 + 6 * q^84 - 24 * q^85 - 30 * q^86 + 24 * q^89 - 6 * q^90 + 42 * q^91 + 42 * q^92 + 36 * q^93 - 18 * q^94 + 24 * q^95 + 78 * q^97 + 12 * q^98 + 6 * q^99

Introduction

L-functions

Modular forms

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