LMFDB - Embedded newform 570.2.bb.b.41.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [570,2,Mod(41,570)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(570, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 0, 13]))

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

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

chi := DirichletCharacter("570.41");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 570 = 2 \cdot 3 \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	570.bb (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:	$4.55147291521$
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			41.8
Character	$\chi$	$=$	570.41
Dual form			570.2.bb.b.431.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.766044 - 0.642788i) q^{2} +(0.446223 + 1.67358i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.984808 - 0.173648i) q^{5} +(0.733933 - 1.56887i) q^{6} +(2.13041 + 3.68998i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-2.60177 + 1.49358i) q^{9} +O(q^{10})$	\(q+(-0.766044 - 0.642788i) q^{2} +(0.446223 + 1.67358i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.984808 - 0.173648i) q^{5} +(0.733933 - 1.56887i) q^{6} +(2.13041 + 3.68998i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-2.60177 + 1.49358i) q^{9} +(0.642788 + 0.766044i) q^{10} +(2.21861 + 1.28091i) q^{11} +(-1.57067 + 0.730059i) q^{12} +(1.88212 - 5.17108i) q^{13} +(0.739884 - 4.19609i) q^{14} +(-0.148829 - 1.72564i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-4.48427 + 5.34414i) q^{17} +(2.95313 + 0.528234i) q^{18} +(-3.80863 + 2.11998i) q^{19} -1.00000i q^{20} +(-5.22485 + 5.21198i) q^{21} +(-0.876197 - 2.40733i) q^{22} +(4.17568 - 0.736286i) q^{23} +(1.67248 + 0.450352i) q^{24} +(0.939693 + 0.342020i) q^{25} +(-4.76570 + 2.75148i) q^{26} +(-3.66061 - 3.68781i) q^{27} +(-3.26398 + 2.73880i) q^{28} +(-2.00816 + 1.68504i) q^{29} +(-0.995214 + 1.41759i) q^{30} +(1.39339 - 0.804474i) q^{31} +(0.939693 + 0.342020i) q^{32} +(-1.15372 + 4.28460i) q^{33} +(6.87030 - 1.21142i) q^{34} +(-1.45729 - 4.00386i) q^{35} +(-1.92269 - 2.30289i) q^{36} +3.07414i q^{37} +(4.28028 + 0.824146i) q^{38} +(9.49409 + 0.842431i) q^{39} +(-0.642788 + 0.766044i) q^{40} +(-10.0827 + 3.66979i) q^{41} +(7.35266 - 0.634133i) q^{42} +(-0.476610 + 2.70299i) q^{43} +(-0.876197 + 2.40733i) q^{44} +(2.82160 - 1.01910i) q^{45} +(-3.67203 - 2.12005i) q^{46} +(4.48817 + 5.34880i) q^{47} +(-0.991712 - 1.42004i) q^{48} +(-5.57730 + 9.66016i) q^{49} +(-0.500000 - 0.866025i) q^{50} +(-10.9449 - 5.12012i) q^{51} +(5.41935 + 0.955577i) q^{52} +(-2.04716 - 11.6100i) q^{53} +(0.433709 + 5.17802i) q^{54} +(-1.96247 - 1.64671i) q^{55} +4.26082 q^{56} +(-5.24746 - 5.42809i) q^{57} +2.62146 q^{58} +(5.58989 + 4.69047i) q^{59} +(1.67358 - 0.446223i) q^{60} +(0.759936 + 4.30981i) q^{61} +(-1.58450 - 0.279391i) q^{62} +(-11.0541 - 6.41853i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-2.75148 + 4.76570i) q^{65} +(3.63789 - 2.54060i) q^{66} +(-4.13500 - 4.92790i) q^{67} +(-6.04164 - 3.48814i) q^{68} +(3.09552 + 6.65981i) q^{69} +(-1.45729 + 4.00386i) q^{70} +(-0.896292 + 5.08313i) q^{71} +(-0.00740362 + 2.99999i) q^{72} +(8.95079 - 3.25782i) q^{73} +(1.97602 - 2.35493i) q^{74} +(-0.153087 + 1.72527i) q^{75} +(-2.74913 - 3.38264i) q^{76} +10.9155i q^{77} +(-6.73139 - 6.74802i) q^{78} +(3.15737 + 8.67481i) q^{79} +(0.984808 - 0.173648i) q^{80} +(4.53842 - 7.77192i) q^{81} +(10.0827 + 3.66979i) q^{82} +(4.91579 - 2.83813i) q^{83} +(-6.04008 - 4.24043i) q^{84} +(5.34414 - 4.48427i) q^{85} +(2.10255 - 1.76425i) q^{86} +(-3.71615 - 2.60892i) q^{87} +(2.21861 - 1.28091i) q^{88} +(11.1585 + 4.06137i) q^{89} +(-2.81654 - 1.03301i) q^{90} +(23.0909 - 4.07154i) q^{91} +(1.45020 + 3.98439i) q^{92} +(1.96812 + 1.97298i) q^{93} -6.98236i q^{94} +(4.11890 - 1.42641i) q^{95} +(-0.153087 + 1.72527i) q^{96} +(10.3273 - 12.3076i) q^{97} +(10.4819 - 3.81510i) q^{98} +(-7.68546 - 0.0189668i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q - 6 q^{6} + 42 q^{8}+O(q^{10}) $ 84 * q - 6 * q^6 + 42 * q^8	$ 84 q - 6 q^{6} + 42 q^{8} + 24 q^{13} - 24 q^{14} + 12 q^{17} - 12 q^{19} + 36 q^{22} + 24 q^{27} - 12 q^{28} - 12 q^{29} + 36 q^{33} + 12 q^{34} + 6 q^{36} + 18 q^{38} + 12 q^{39} + 6 q^{41} + 24 q^{43} + 36 q^{44} + 12 q^{47} - 12 q^{48} - 54 q^{49} - 42 q^{50} + 96 q^{51} + 12 q^{52} - 60 q^{53} - 18 q^{54} - 96 q^{57} - 24 q^{58} - 18 q^{59} - 48 q^{61} - 12 q^{62} - 114 q^{63} - 42 q^{64} - 24 q^{66} + 6 q^{67} - 54 q^{68} - 48 q^{69} + 48 q^{71} + 84 q^{73} + 24 q^{74} - 12 q^{79} - 36 q^{81} - 6 q^{82} + 36 q^{83} + 18 q^{84} + 12 q^{86} + 6 q^{87} - 12 q^{89} - 24 q^{90} + 24 q^{91} - 6 q^{93} - 12 q^{95} - 42 q^{97} + 36 q^{98} - 6 q^{99}+O(q^{100}) $ 84 * q - 6 * q^6 + 42 * q^8 + 24 * q^13 - 24 * q^14 + 12 * q^17 - 12 * q^19 + 36 * q^22 + 24 * q^27 - 12 * q^28 - 12 * q^29 + 36 * q^33 + 12 * q^34 + 6 * q^36 + 18 * q^38 + 12 * q^39 + 6 * q^41 + 24 * q^43 + 36 * q^44 + 12 * q^47 - 12 * q^48 - 54 * q^49 - 42 * q^50 + 96 * q^51 + 12 * q^52 - 60 * q^53 - 18 * q^54 - 96 * q^57 - 24 * q^58 - 18 * q^59 - 48 * q^61 - 12 * q^62 - 114 * q^63 - 42 * q^64 - 24 * q^66 + 6 * q^67 - 54 * q^68 - 48 * q^69 + 48 * q^71 + 84 * q^73 + 24 * q^74 - 12 * q^79 - 36 * q^81 - 6 * q^82 + 36 * q^83 + 18 * q^84 + 12 * q^86 + 6 * q^87 - 12 * q^89 - 24 * q^90 + 24 * q^91 - 6 * q^93 - 12 * q^95 - 42 * q^97 + 36 * q^98 - 6 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/570\mathbb{Z}\right)^\times$.

$n$	$191$	$211$	$457$
$\chi(n)$	$-1$	$e\left(\frac{13}{18}\right)$	$1$

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 $

$2$	−0.766044	−	0.642788i	−0.541675	−	0.454519i
$2$	−0.766044	−	0.642788i	−0.541675	−	0.454519i
$3$	0.446223	+	1.67358i	0.257627	+	0.966244i
$3$	0.446223	+	1.67358i	0.257627	+	0.966244i
$4$	0.173648	+	0.984808i	0.0868241	+	0.492404i
$5$	−0.984808	−	0.173648i	−0.440419	−	0.0776578i
$5$	−0.984808	−	0.173648i	−0.440419	−	0.0776578i
$6$	0.733933	−	1.56887i	0.299627	−	0.640487i
$7$	2.13041	+	3.68998i	0.805219	+	1.39468i	0.916143	+	0.400852i	$0.131286\pi$
$7$	2.13041	+	3.68998i	0.805219	+	1.39468i	−0.110923	+	0.993829i	$0.535381\pi$
$8$	0.500000	−	0.866025i	0.176777	−	0.306186i
$9$	−2.60177	+	1.49358i	−0.867257	+	0.497861i
$10$	0.642788	+	0.766044i	0.203267	+	0.242245i
$11$	2.21861	+	1.28091i	0.668936	+	0.386210i	0.795673	−	0.605726i	$-0.207117\pi$
$11$	2.21861	+	1.28091i	0.668936	+	0.386210i	−0.126738	+	0.991936i	$0.540451\pi$
$12$	−1.57067	+	0.730059i	−0.453414	+	0.210750i
$13$	1.88212	−	5.17108i	0.522006	−	1.43420i	−0.346277	−	0.938132i	$-0.612554\pi$
$13$	1.88212	−	5.17108i	0.522006	−	1.43420i	0.868284	−	0.496068i	$-0.165223\pi$
$14$	0.739884	−	4.19609i	0.197742	−	1.12145i
$15$	−0.148829	−	1.72564i	−0.0384275	−	0.445560i
$16$	−0.939693	+	0.342020i	−0.234923	+	0.0855050i
$17$	−4.48427	+	5.34414i	−1.08759	+	1.29615i	−0.135354	+	0.990797i	$0.543217\pi$
$17$	−4.48427	+	5.34414i	−1.08759	+	1.29615i	−0.952241	+	0.305348i	$0.901227\pi$
$18$	2.95313	+	0.528234i	0.696059	+	0.124506i
$19$	−3.80863	+	2.11998i	−0.873761	+	0.486356i
$19$	−3.80863	+	2.11998i	−0.873761	+	0.486356i
$20$		−	1.00000i		−	0.223607i
$21$	−5.22485	+	5.21198i	−1.14016	+	1.13735i
$22$	−0.876197	−	2.40733i	−0.186806	−	0.513245i
$23$	4.17568	−	0.736286i	0.870690	−	0.153526i	0.279585	−	0.960121i	$-0.409803\pi$
$23$	4.17568	−	0.736286i	0.870690	−	0.153526i	0.591105	+	0.806595i	$0.298692\pi$
$24$	1.67248	+	0.450352i	0.341393	+	0.0919277i
$25$	0.939693	+	0.342020i	0.187939	+	0.0684040i
$26$	−4.76570	+	2.75148i	−0.934630	+	0.539609i
$27$	−3.66061	−	3.68781i	−0.704484	−	0.709720i
$28$	−3.26398	+	2.73880i	−0.616834	+	0.517585i
$29$	−2.00816	+	1.68504i	−0.372906	+	0.312905i	−0.809910	−	0.586555i	$-0.800484\pi$
$29$	−2.00816	+	1.68504i	−0.372906	+	0.312905i	0.437004	+	0.899459i	$0.356040\pi$
$30$	−0.995214	+	1.41759i	−0.181700	+	0.258815i
$31$	1.39339	−	0.804474i	0.250260	−	0.144488i	−0.369623	−	0.929182i	$-0.620513\pi$
$31$	1.39339	−	0.804474i	0.250260	−	0.144488i	0.619883	+	0.784694i	$0.287180\pi$
$32$	0.939693	+	0.342020i	0.166116	+	0.0604612i
$33$	−1.15372	+	4.28460i	−0.200838	+	0.745853i
$34$	6.87030	−	1.21142i	1.17825	−	0.207757i
$35$	−1.45729	−	4.00386i	−0.246326	−	0.676776i
$36$	−1.92269	−	2.30289i	−0.320448	−	0.383814i
$37$			3.07414i			0.505385i	0.967547	+	0.252693i	$0.0813161\pi$
$37$			3.07414i			0.505385i	−0.967547	+	0.252693i	$0.918684\pi$
$38$	4.28028	+	0.824146i	0.694353	+	0.133694i
$39$	9.49409	+	0.842431i	1.52027	+	0.134897i
$40$	−0.642788	+	0.766044i	−0.101634	+	0.121122i
$41$	−10.0827	+	3.66979i	−1.57465	+	0.573125i	−0.974032	−	0.226412i	$-0.927301\pi$
$41$	−10.0827	+	3.66979i	−1.57465	+	0.573125i	−0.600617	+	0.799537i	$0.705078\pi$
$42$	7.35266	−	0.634133i	1.13454	−	0.0978489i
$43$	−0.476610	+	2.70299i	−0.0726823	+	0.412202i	0.926659	+	0.375904i	$0.122668\pi$
$43$	−0.476610	+	2.70299i	−0.0726823	+	0.412202i	−0.999341	+	0.0362981i	$0.988443\pi$
$44$	−0.876197	+	2.40733i	−0.132092	+	0.362919i
$45$	2.82160	−	1.01910i	0.420620	−	0.151918i
$46$	−3.67203	−	2.12005i	−0.541412	−	0.312584i
$47$	4.48817	+	5.34880i	0.654667	+	0.780202i	0.986610	−	0.163097i	$-0.0521485\pi$
$47$	4.48817	+	5.34880i	0.654667	+	0.780202i	−0.331943	+	0.943300i	$0.607704\pi$
$48$	−0.991712	−	1.42004i	−0.143141	−	0.204965i
$49$	−5.57730	+	9.66016i	−0.796757	+	1.38002i
$50$	−0.500000	−	0.866025i	−0.0707107	−	0.122474i
$51$	−10.9449	−	5.12012i	−1.53259	−	0.716961i
$52$	5.41935	+	0.955577i	0.751528	+	0.132515i
$53$	−2.04716	−	11.6100i	−0.281199	−	1.59476i	−0.718556	−	0.695469i	$-0.755197\pi$
$53$	−2.04716	−	11.6100i	−0.281199	−	1.59476i	0.437358	−	0.899288i	$-0.355914\pi$
$54$	0.433709	+	5.17802i	0.0590204	+	0.704639i
$55$	−1.96247	−	1.64671i	−0.264620	−	0.222043i
$56$	4.26082			0.569376
$57$	−5.24746	−	5.42809i	−0.695043	−	0.718968i
$58$	2.62146			0.344215
$59$	5.58989	+	4.69047i	0.727741	+	0.610648i	0.929515	−	0.368785i	$-0.120226\pi$
$59$	5.58989	+	4.69047i	0.727741	+	0.610648i	−0.201773	+	0.979432i	$0.564670\pi$
$60$	1.67358	−	0.446223i	0.216059	−	0.0576071i
$61$	0.759936	+	4.30981i	0.0972998	+	0.551815i	0.994018	+	0.109213i	$0.0348332\pi$
$61$	0.759936	+	4.30981i	0.0972998	+	0.551815i	−0.896719	+	0.442601i	$0.854056\pi$
$62$	−1.58450	−	0.279391i	−0.201232	−	0.0354827i
$63$	−11.0541	−	6.41853i	−1.39269	−	0.808659i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	−2.75148	+	4.76570i	−0.341279	+	0.591112i
$66$	3.63789	−	2.54060i	0.447794	−	0.312726i
$67$	−4.13500	−	4.92790i	−0.505171	−	0.602039i	0.451837	−	0.892100i	$-0.350769\pi$
$67$	−4.13500	−	4.92790i	−0.505171	−	0.602039i	−0.957008	+	0.290061i	$0.906324\pi$
$68$	−6.04164	−	3.48814i	−0.732656	−	0.422999i
$69$	3.09552	+	6.65981i	0.372657	+	0.801747i
$70$	−1.45729	+	4.00386i	−0.174179	+	0.478553i
$71$	−0.896292	+	5.08313i	−0.106370	+	0.603256i	0.884294	+	0.466931i	$0.154640\pi$
$71$	−0.896292	+	5.08313i	−0.106370	+	0.603256i	−0.990664	+	0.136325i	$0.956471\pi$
$72$	−0.00740362	+	2.99999i	−0.000872525	+	0.353552i
$73$	8.95079	−	3.25782i	1.04761	−	0.381299i	0.239851	−	0.970810i	$-0.422902\pi$
$73$	8.95079	−	3.25782i	1.04761	−	0.381299i	0.807761	+	0.589511i	$0.200679\pi$
$74$	1.97602	−	2.35493i	0.229707	−	0.273755i
$75$	−0.153087	+	1.72527i	−0.0176770	+	0.199217i
$76$	−2.74913	−	3.38264i	−0.315347	−	0.388016i
$77$			10.9155i			1.24394i
$78$	−6.73139	−	6.74802i	−0.762180	−	0.764063i
$79$	3.15737	+	8.67481i	0.355232	+	0.975992i	0.980662	+	0.195711i	$0.0627016\pi$
$79$	3.15737	+	8.67481i	0.355232	+	0.975992i	−0.625429	+	0.780281i	$0.715076\pi$
$80$	0.984808	−	0.173648i	0.110105	−	0.0194145i
$81$	4.53842	−	7.77192i	0.504268	−	0.863547i
$82$	10.0827	+	3.66979i	1.11344	+	0.405261i
$83$	4.91579	−	2.83813i	0.539578	−	0.311526i	−0.205330	−	0.978693i	$-0.565827\pi$
$83$	4.91579	−	2.83813i	0.539578	−	0.311526i	0.744908	+	0.667167i	$0.232493\pi$
$84$	−6.04008	−	4.24043i	−0.659027	−	0.462668i
$85$	5.34414	−	4.48427i	0.579654	−	0.486387i
$86$	2.10255	−	1.76425i	0.226724	−	0.190244i
$87$	−3.71615	−	2.60892i	−0.398413	−	0.279705i
$88$	2.21861	−	1.28091i	0.236504	−	0.136546i
$89$	11.1585	+	4.06137i	1.18280	+	0.430504i	0.857190	−	0.515000i	$-0.172208\pi$
$89$	11.1585	+	4.06137i	1.18280	+	0.430504i	0.325610	+	0.945504i	$0.394430\pi$
$90$	−2.81654	−	1.03301i	−0.296889	−	0.108889i
$91$	23.0909	−	4.07154i	2.42058	−	0.426814i
$92$	1.45020	+	3.98439i	0.151194	+	0.415401i
$93$	1.96812	+	1.97298i	0.204084	+	0.204589i
$94$		−	6.98236i		−	0.720175i
$95$	4.11890	−	1.42641i	0.422591	−	0.146346i
$96$	−0.153087	+	1.72527i	−0.0156244	+	0.176085i
$97$	10.3273	−	12.3076i	1.04858	−	1.24965i	0.0811025	−	0.996706i	$-0.474156\pi$
$97$	10.3273	−	12.3076i	1.04858	−	1.24965i	0.967480	−	0.252947i	$-0.0813997\pi$
$98$	10.4819	−	3.81510i	1.05883	−	0.385383i
$99$	−7.68546	−	0.0189668i	−0.772418	−	0.00190624i
$100$	−0.173648	+	0.984808i	−0.0173648	+	0.0984808i
$101$	−0.347404	+	0.954485i	−0.0345680	+	0.0949748i	−0.955776	−	0.294096i	$-0.904982\pi$
$101$	−0.347404	+	0.954485i	−0.0345680	+	0.0949748i	0.921208	+	0.389071i	$0.127204\pi$
$102$	5.09310	+	10.9575i	0.504292	+	1.08495i
$103$	−2.98306	−	1.72227i	−0.293929	−	0.169700i	0.345783	−	0.938314i	$-0.387613\pi$
$103$	−2.98306	−	1.72227i	−0.293929	−	0.169700i	−0.639712	+	0.768614i	$0.720947\pi$
$104$	−3.53723	−	4.21551i	−0.346854	−	0.413364i
$105$	6.05053	−	4.22551i	0.590471	−	0.412367i
$106$	−5.89455	+	10.2097i	−0.572529	+	0.991650i
$107$	−7.29065	−	12.6278i	−0.704813	−	1.22077i	−0.966759	−	0.255690i	$-0.917697\pi$
$107$	−7.29065	−	12.6278i	−0.704813	−	1.22077i	0.261946	−	0.965083i	$-0.415636\pi$
$108$	2.99613	−	4.24538i	0.288302	−	0.408512i
$109$	5.29471	+	0.933600i	0.507141	+	0.0894226i	0.421364	−	0.906892i	$-0.361552\pi$
$109$	5.29471	+	0.933600i	0.507141	+	0.0894226i	0.0857771	+	0.996314i	$0.472663\pi$
$110$	0.444857	+	2.52291i	0.0424154	+	0.240550i
$111$	−5.14483	+	1.37175i	−0.488326	+	0.130201i
$112$	−3.26398	−	2.73880i	−0.308417	−	0.258793i
$113$	5.76164			0.542009			0.271005	−	0.962578i	$-0.412644\pi$
$113$	5.76164			0.542009			0.271005	+	0.962578i	$0.412644\pi$
$114$	0.530680	+	7.53116i	0.0497028	+	0.705358i
$115$	−4.24010			−0.395391
$116$	−2.00816	−	1.68504i	−0.186453	−	0.156452i
$117$	2.82660	+	16.2651i	0.261319	+	1.50371i
$118$	−1.26712	−	7.18622i	−0.116648	−	0.661545i
$119$	−29.2731	−	5.16164i	−2.68346	−	0.473167i
$120$	−1.56887	−	0.733933i	−0.143217	−	0.0669986i
$121$	−2.21852	−	3.84259i	−0.201684	−	0.349326i
$122$	2.18815	−	3.78998i	0.198106	−	0.343129i
$123$	−10.6408	−	15.2367i	−0.959451	−	1.37384i
$124$	1.03421	+	1.23253i	0.0928750	+	0.110684i
$125$	−0.866025	−	0.500000i	−0.0774597	−	0.0447214i
$126$	4.34220	+	12.0223i	0.386834	+	1.07104i
$127$	2.12175	−	5.82946i	0.188275	−	0.517281i	−0.809260	−	0.587450i	$-0.800132\pi$
$127$	2.12175	−	5.82946i	0.188275	−	0.517281i	0.997535	+	0.0701693i	$0.0223540\pi$
$128$	−0.173648	+	0.984808i	−0.0153485	+	0.0870455i
$129$	−4.73635	+	0.408489i	−0.417013	+	0.0359654i
$130$	5.17108	−	1.88212i	0.453534	−	0.165073i
$131$	−4.14458	+	4.93932i	−0.362114	+	0.431550i	−0.916084	−	0.400986i	$-0.868668\pi$
$131$	−4.14458	+	4.93932i	−0.362114	+	0.431550i	0.553971	+	0.832536i	$0.313112\pi$
$132$	−4.41985	−	0.392183i	−0.384699	−	0.0341351i
$133$	−15.9366	−	9.53736i	−1.38188	−	0.826994i
$134$			6.43292i			0.555720i
$135$	2.96461	+	4.26744i	0.255153	+	0.367283i
$136$	2.38603	+	6.55556i	0.204600	+	0.562135i
$137$	−0.570387	+	0.100575i	−0.0487314	+	0.00859267i	−0.197961	−	0.980210i	$-0.563432\pi$
$137$	−0.570387	+	0.100575i	−0.0487314	+	0.00859267i	0.149229	+	0.988803i	$0.452321\pi$
$138$	1.90954	−	7.09147i	0.162551	−	0.603666i
$139$	10.2753	+	3.73992i	0.871543	+	0.317216i	0.738792	−	0.673934i	$-0.235397\pi$
$139$	10.2753	+	3.73992i	0.871543	+	0.317216i	0.132751	+	0.991149i	$0.457619\pi$
$140$	3.68998	−	2.13041i	0.311860	−	0.180053i
$141$	−6.94894	+	9.89809i	−0.585206	+	0.833570i
$142$	3.95397	−	3.31777i	0.331810	−	0.278421i
$143$	10.7994	−	9.06177i	0.903091	−	0.757783i
$144$	1.93403	−	2.29337i	0.161169	−	0.191114i
$145$	2.27025	−	1.31073i	0.188534	−	0.108850i
$146$	−8.95079	−	3.25782i	−0.740773	−	0.269619i
$147$	−18.6558	−	5.02349i	−1.53871	−	0.414331i
$148$	−3.02743	+	0.533818i	−0.248854	+	0.0438796i
$149$	−2.37163	−	6.51600i	−0.194291	−	0.533811i	0.803845	−	0.594839i	$-0.202784\pi$
$149$	−2.37163	−	6.51600i	−0.194291	−	0.533811i	−0.998136	+	0.0610280i	$0.980562\pi$
$150$	1.22626	−	1.22323i	0.100123	−	0.0998765i
$151$		−	14.2124i		−	1.15659i	−0.815829	−	0.578294i	$-0.803719\pi$
$151$		−	14.2124i		−	1.15659i	0.815829	−	0.578294i	$-0.196281\pi$
$152$	−0.0683630	+	4.35836i	−0.00554497	+	0.353510i
$153$	3.68511	−	20.6019i	0.297924	−	1.66556i
$154$	7.01634	−	8.36175i	0.565393	−	0.673809i
$155$	−1.51192	+	0.550293i	−0.121440	+	0.0442006i
$156$	0.818998	+	9.49614i	0.0655724	+	0.760300i
$157$	2.10511	−	11.9387i	0.168006	−	0.952810i	−0.777905	−	0.628382i	$-0.783717\pi$
$157$	2.10511	−	11.9387i	0.168006	−	0.952810i	0.945911	−	0.324427i	$-0.105172\pi$
$158$	3.15737	−	8.67481i	0.251187	−	0.690131i
$159$	18.5168	−	8.60674i	1.46848	−	0.682559i
$160$	−0.866025	−	0.500000i	−0.0684653	−	0.0395285i
$161$	11.6128	+	13.8396i	0.915217	+	1.09071i
$162$	−8.47232	+	3.03640i	−0.665649	+	0.238562i
$163$	−3.08856	+	5.34954i	−0.241915	+	0.419009i	−0.961260	−	0.275644i	$-0.911109\pi$
$163$	−3.08856	+	5.34954i	−0.241915	+	0.419009i	0.719345	+	0.694653i	$0.244442\pi$
$164$	−5.36488	−	9.29224i	−0.418927	−	0.725602i
$165$	1.88021	−	4.01917i	0.146374	−	0.312892i
$166$	−5.59003	−	0.985674i	−0.433871	−	0.0765031i
$167$	0.981937	+	5.56884i	0.0759846	+	0.430930i	0.998940	+	0.0460238i	$0.0146550\pi$
$167$	0.981937	+	5.56884i	0.0759846	+	0.430930i	−0.922956	+	0.384906i	$0.874234\pi$
$168$	1.90128	+	7.13084i	0.146687	+	0.550157i
$169$	−13.2391	−	11.1090i	−1.01840	−	0.854535i
$170$	−6.97628			−0.535057
$171$	6.74283	−	11.2042i	0.515637	−	0.856807i
$172$	−2.74469			−0.209280
$173$	14.2693	+	11.9734i	1.08487	+	0.910318i	0.996316	−	0.0857530i	$-0.0273296\pi$
$173$	14.2693	+	11.9734i	1.08487	+	0.910318i	0.0885583	+	0.996071i	$0.471774\pi$
$174$	1.16976	+	4.38724i	0.0886791	+	0.332596i
$175$	0.739884	+	4.19609i	0.0559300	+	0.317195i
$176$	−2.52291	−	0.444857i	−0.190171	−	0.0335323i
$177$	−5.35557	+	11.4481i	−0.402549	+	0.860495i
$178$	−5.93732	−	10.2837i	−0.445021	−	0.770799i
$179$	7.95839	−	13.7843i	0.594838	−	1.03029i	−0.398732	−	0.917067i	$-0.630550\pi$
$179$	7.95839	−	13.7843i	0.594838	−	1.03029i	0.993570	−	0.113222i	$-0.0361170\pi$
$180$	1.49358	+	2.60177i	0.111325	+	0.193924i
$181$	10.7340	+	12.7923i	0.797852	+	0.950843i	0.999591	−	0.0285963i	$-0.00910374\pi$
$181$	10.7340	+	12.7923i	0.797852	+	0.950843i	−0.201739	+	0.979439i	$0.564659\pi$
$182$	−20.3058	−	11.7235i	−1.50516	−	0.869007i
$183$	−6.87373	+	3.19495i	−0.508121	+	0.236178i
$184$	1.45020	−	3.98439i	0.106910	−	0.293733i
$185$	0.533818	−	3.02743i	0.0392471	−	0.222581i
$186$	−0.239458	−	2.77647i	−0.0175579	−	0.203581i
$187$	−16.7942	+	6.11260i	−1.22812	+	0.446997i
$188$	−4.48817	+	5.34880i	−0.327334	+	0.390101i
$189$	5.80935	−	21.3641i	0.422568	−	1.55401i
$190$	−4.07214	−	1.55489i	−0.295424	−	0.112803i
$191$		−	7.60804i		−	0.550498i	−0.961373	−	0.275249i	$-0.911240\pi$
$191$		−	7.60804i		−	0.550498i	0.961373	−	0.275249i	$-0.0887604\pi$
$192$	1.22626	−	1.22323i	0.0884973	−	0.0882792i
$193$	7.16645	+	19.6897i	0.515852	+	1.41729i	0.875051	+	0.484032i	$0.160828\pi$
$193$	7.16645	+	19.6897i	0.515852	+	1.41729i	−0.359198	+	0.933261i	$0.616950\pi$
$194$	−15.8224	+	2.78992i	−1.13598	+	0.200304i
$195$	−9.20357	−	2.47826i	−0.659081	−	0.177472i
$196$	−10.4819	−	3.81510i	−0.748706	−	0.272507i
$197$	18.0292	−	10.4092i	1.28453	−	0.741622i	0.306855	−	0.951756i	$-0.400723\pi$
$197$	18.0292	−	10.4092i	1.28453	−	0.741622i	0.977673	+	0.210134i	$0.0673899\pi$
$198$	5.87521	+	4.95465i	0.417533	+	0.352112i
$199$	−1.58953	+	1.33377i	−0.112679	+	0.0945488i	−0.697386	−	0.716695i	$-0.745654\pi$
$199$	−1.58953	+	1.33377i	−0.112679	+	0.0945488i	0.584707	+	0.811244i	$0.301209\pi$
$200$	0.766044	−	0.642788i	0.0541675	−	0.0454519i
$201$	6.40213	−	9.11922i	0.451571	−	0.643220i
$202$	0.879658	−	0.507871i	0.0618925	−	0.0357337i
$203$	−10.4960	−	3.82022i	−0.736673	−	0.268127i
$204$	3.14178	−	11.6677i	0.219969	−	0.816901i
$205$	10.5667	−	1.86320i	0.738014	−	0.130132i
$206$	1.17810	+	3.23680i	0.0820822	+	0.225519i
$207$	−9.76446	+	8.15238i	−0.678677	+	0.566629i
$208$			5.50295i			0.381561i
$209$	−11.1654	−	0.175134i	−0.772325	−	0.0121143i
$210$	−7.35108	−	0.652277i	−0.507272	−	0.0450114i
$211$	9.84134	−	11.7285i	0.677506	−	0.807420i	−0.312279	−	0.949990i	$-0.601092\pi$
$211$	9.84134	−	11.7285i	0.677506	−	0.807420i	0.989785	+	0.142571i	$0.0455368\pi$
$212$	11.0781	−	4.03211i	0.760849	−	0.276927i
$213$	−8.90699	+	0.768187i	−0.610297	+	0.0526353i
$214$	−2.53201	+	14.3598i	−0.173085	+	0.981614i
$215$	0.938738	−	2.57916i	0.0640214	−	0.175897i
$216$	−5.02404	+	1.32627i	−0.341843	+	0.0902415i
$217$	5.93699	+	3.42772i	0.403029	+	0.232689i
$218$	−3.45587	−	4.11855i	−0.234061	−	0.278943i
$219$	9.44629	+	13.5262i	0.638321	+	0.914016i
$220$	1.28091	−	2.21861i	0.0863592	−	0.149579i
$221$	19.1951	+	33.2468i	1.29120	+	2.23642i
$222$	4.82291	+	2.25621i	0.323693	+	0.151427i
$223$	−2.79176	−	0.492263i	−0.186950	−	0.0329643i	0.0793891	−	0.996844i	$-0.474703\pi$
$223$	−2.79176	−	0.492263i	−0.186950	−	0.0329643i	−0.266339	+	0.963879i	$0.585814\pi$
$224$	0.739884	+	4.19609i	0.0494356	+	0.280363i
$225$	−2.95570	+	0.513652i	−0.197047	+	0.0342435i
$226$	−4.41367	−	3.70351i	−0.293593	−	0.246354i
$227$	6.72650			0.446453			0.223227	−	0.974767i	$-0.428341\pi$
$227$	6.72650			0.446453			0.223227	+	0.974767i	$0.428341\pi$
$228$	4.43441	−	6.11032i	0.293676	−	0.404666i
$229$	−24.5763			−1.62405			−0.812024	−	0.583624i	$-0.801634\pi$
$229$	−24.5763			−1.62405			−0.812024	+	0.583624i	$0.801634\pi$
$230$	3.24810	+	2.72548i	0.214174	+	0.179713i
$231$	−18.2680	+	4.87074i	−1.20195	+	0.320471i
$232$	0.455212	+	2.58164i	0.0298862	+	0.169493i
$233$	25.5236	+	4.50050i	1.67211	+	0.294837i	0.927821	−	0.373025i	$-0.121679\pi$
$233$	25.5236	+	4.50050i	1.67211	+	0.294837i	0.744285	+	0.667862i	$0.232790\pi$
$234$	8.28968	−	14.2767i	0.541914	−	0.933295i
$235$	−3.49118	−	6.04690i	−0.227739	−	0.394456i
$236$	−3.64854	+	6.31946i	−0.237500	+	0.411362i
$237$	−13.1091	+	9.15503i	−0.851530	+	0.594683i
$238$	19.1067	+	22.7704i	1.23850	+	1.47599i
$239$	1.24961	+	0.721462i	0.0808305	+	0.0466675i	0.539870	−	0.841748i	$-0.318473\pi$
$239$	1.24961	+	0.721462i	0.0808305	+	0.0466675i	−0.459040	+	0.888416i	$0.651807\pi$
$240$	0.730059	+	1.57067i	0.0471251	+	0.101387i
$241$	−10.4069	+	28.5928i	−0.670369	+	1.84182i	−0.148250	+	0.988950i	$0.547364\pi$
$241$	−10.4069	+	28.5928i	−0.670369	+	1.84182i	−0.522119	+	0.852873i	$0.674858\pi$
$242$	−0.770483	+	4.36963i	−0.0495286	+	0.280890i
$243$	15.0321	+	4.12741i	0.964311	+	0.264774i
$244$	−4.11237	+	1.49678i	−0.263268	+	0.0958216i
$245$	7.17004	−	8.54492i	0.458077	−	0.545915i
$246$	−1.64259	+	18.5117i	−0.104728	+	1.18027i
$247$	3.79427	+	23.6848i	0.241424	+	1.50703i
$248$		−	1.60895i		−	0.102168i
$249$	6.94340	+	6.96055i	0.440020	+	0.441107i
$250$	0.342020	+	0.939693i	0.0216313	+	0.0594314i
$251$	23.0296	−	4.06075i	1.45362	−	0.256312i	0.609635	−	0.792682i	$-0.291316\pi$
$251$	23.0296	−	4.06075i	1.45362	−	0.256312i	0.843983	+	0.536370i	$0.180205\pi$
$252$	4.40149	−	12.0008i	0.277268	−	0.755977i
$253$	10.2073	+	3.71516i	0.641729	+	0.233570i
$254$	−5.37246	+	3.10179i	−0.337098	+	0.194624i
$255$	9.88948	+	6.94289i	0.619303	+	0.434781i
$256$	0.766044	−	0.642788i	0.0478778	−	0.0401742i
$257$	2.37912	−	1.99632i	0.148405	−	0.124527i	−0.565562	−	0.824706i	$-0.691341\pi$
$257$	2.37912	−	1.99632i	0.148405	−	0.124527i	0.713968	+	0.700179i	$0.246896\pi$
$258$	3.89083	+	2.73155i	0.242232	+	0.170059i
$259$	−11.3435	+	6.54918i	−0.704851	+	0.406946i
$260$	−5.17108	−	1.88212i	−0.320697	−	0.116724i
$261$	2.70801	−	7.38345i	0.167622	−	0.457024i
$262$	6.34986	−	1.11965i	0.392296	−	0.0691724i
$263$	9.80070	+	26.9272i	0.604337	+	1.66040i	0.742383	+	0.669976i	$0.233696\pi$
$263$	9.80070	+	26.9272i	0.604337	+	1.66040i	−0.138046	+	0.990426i	$0.544082\pi$
$264$	3.13371	+	3.14145i	0.192867	+	0.193343i
$265$			11.7891i			0.724199i
$266$	6.07767	+	17.5499i	0.372646	+	1.07605i
$267$	−1.81786	+	20.4870i	−0.111251	+	1.25378i
$268$	4.13500	−	4.92790i	0.252585	−	0.301020i
$269$	−18.5768	+	6.76139i	−1.13264	+	0.412249i	−0.839252	−	0.543743i	$-0.817007\pi$
$269$	−18.5768	+	6.76139i	−1.13264	+	0.412249i	−0.293393	+	0.955992i	$0.594784\pi$
$270$	0.472033	−	5.17467i	0.0287270	−	0.314920i
$271$	2.04269	−	11.5847i	0.124085	−	0.703719i	−0.857763	−	0.514046i	$-0.828146\pi$
$271$	2.04269	−	11.5847i	0.124085	−	0.703719i	0.981847	−	0.189673i	$-0.0607428\pi$
$272$	2.38603	−	6.55556i	0.144674	−	0.397489i
$273$	17.1178	+	36.8277i	1.03601	+	2.22891i
$274$	0.501590	+	0.289593i	0.0303022	+	0.0174950i
$275$	1.64671	+	1.96247i	0.0993004	+	0.118342i
$276$	−6.02110	+	4.20496i	−0.362428	+	0.253109i
$277$	−3.12839	+	5.41853i	−0.187967	+	0.325568i	−0.944572	−	0.328304i	$-0.893523\pi$
$277$	−3.12839	+	5.41853i	−0.187967	+	0.325568i	0.756606	+	0.653872i	$0.226856\pi$
$278$	−5.46739	−	9.46980i	−0.327912	−	0.567961i
$279$	−2.42373	+	4.17420i	−0.145105	+	0.249903i
$280$	−4.19609	−	0.739884i	−0.250764	−	0.0442165i
$281$	−2.67007	−	15.1427i	−0.159283	−	0.903339i	−0.954765	−	0.297361i	$-0.903893\pi$
$281$	−2.67007	−	15.1427i	−0.159283	−	0.903339i	0.795482	−	0.605977i	$-0.207218\pi$
$282$	11.6856	−	3.11569i	0.695865	−	0.185537i
$283$	−11.7046	−	9.82136i	−0.695769	−	0.583819i	0.224798	−	0.974405i	$-0.427828\pi$
$283$	−11.7046	−	9.82136i	−0.695769	−	0.583819i	−0.920566	+	0.390586i	$0.872272\pi$
$284$	−5.16154			−0.306281
$285$	4.22516	+	6.25684i	0.250277	+	0.370623i
$286$	−14.0976			−0.833609
$287$	−35.0217	−	29.3867i	−2.06726	−	1.73464i
$288$	−2.95570	+	0.513652i	−0.174166	+	0.0302672i
$289$	−5.49918	−	31.1874i	−0.323481	−	1.83455i
$290$	−2.58164	−	0.455212i	−0.151599	−	0.0267310i
$291$	25.2062	+	11.7917i	1.47761	+	0.691243i
$292$	4.76262	+	8.24910i	0.278711	+	0.482742i
$293$	7.85745	−	13.6095i	0.459037	−	0.795076i	−0.539873	−	0.841747i	$-0.681528\pi$
$293$	7.85745	−	13.6095i	0.459037	−	0.795076i	0.998910	+	0.0466704i	$0.0148611\pi$
$294$	11.0621	+	15.8399i	0.645157	+	0.923804i
$295$	−4.69047	−	5.58989i	−0.273090	−	0.325456i
$296$	2.66228	+	1.53707i	0.154742	+	0.0893403i
$297$	−3.39769	−	12.8707i	−0.197154	−	0.746836i
$298$	−2.37163	+	6.51600i	−0.137385	+	0.377462i
$299$	4.05174	−	22.9786i	0.234318	−	1.32889i
$300$	−1.72564	+	0.148829i	−0.0996301	+	0.00859264i
$301$	−10.9893	+	3.99980i	−0.633415	+	0.230544i
$302$	−9.13554	+	10.8873i	−0.525691	+	0.626495i
$303$	−1.75243	−	0.155497i	−0.100675	−	0.00893307i
$304$	2.85387	−	3.29476i	0.163681	−	0.188967i
$305$		−	4.37630i		−	0.250586i
$306$	−16.0656	+	13.4132i	−0.918408	+	0.766782i
$307$	3.74629	+	10.2928i	0.213812	+	0.587443i	0.999514	−	0.0311611i	$-0.00992051\pi$
$307$	3.74629	+	10.2928i	0.213812	+	0.587443i	−0.785702	+	0.618605i	$0.787698\pi$
$308$	−10.7497	+	1.89545i	−0.612519	+	0.108004i
$309$	1.55125	−	5.76091i	0.0882477	−	0.327727i
$310$	1.51192	+	0.550293i	0.0858711	+	0.0312545i
$311$	−23.7512	+	13.7128i	−1.34681	+	0.777580i	−0.987796	−	0.155753i	$-0.950220\pi$
$311$	−23.7512	+	13.7128i	−1.34681	+	0.777580i	−0.359012	+	0.933333i	$0.616886\pi$
$312$	5.47661	−	7.80091i	0.310052	−	0.441639i
$313$	−17.1126	+	14.3592i	−0.967260	+	0.811628i	−0.982119	−	0.188262i	$-0.939715\pi$
$313$	−17.1126	+	14.3592i	−0.967260	+	0.811628i	0.0148587	+	0.999890i	$0.495270\pi$
$314$	−9.28664	+	7.79241i	−0.524075	+	0.439751i
$315$	9.77163	+	8.24055i	0.550569	+	0.464302i
$316$	−7.99475	+	4.61577i	−0.449740	+	0.259657i
$317$	27.7171	+	10.0882i	1.55675	+	0.566609i	0.969988	−	0.243154i	$-0.0781820\pi$
$317$	27.7171	+	10.0882i	1.55675	+	0.566609i	0.586757	+	0.809763i	$0.300404\pi$
$318$	−19.7170	−	5.30924i	−1.10568	−	0.297728i
$319$	−6.61371	+	1.16618i	−0.370297	+	0.0652933i
$320$	0.342020	+	0.939693i	0.0191195	+	0.0525304i
$321$	17.8804	−	17.8363i	0.997986	−	0.995526i
$322$		−	18.0663i		−	1.00680i
$323$	5.74948	−	29.8604i	0.319910	−	1.66148i
$324$	8.44194	+	3.11989i	0.468997	+	0.173327i
$325$	3.53723	−	4.21551i	0.196210	−	0.233834i
$326$	5.80460	−	2.11270i	0.321487	−	0.117012i
$327$	0.800162	+	9.27773i	0.0442490	+	0.513060i
$328$	−1.86320	+	10.5667i	−0.102878	+	0.583451i
$329$	−10.1753	+	27.9564i	−0.560982	+	1.54129i
$330$	−4.02379	+	1.87028i	−0.221503	+	0.102956i
$331$	5.90257	+	3.40785i	0.324434	+	0.187312i	0.653367	−	0.757041i	$-0.273356\pi$
$331$	5.90257	+	3.40785i	0.324434	+	0.187312i	−0.328933	+	0.944353i	$0.606689\pi$
$332$	3.64863	+	4.34827i	0.200245	+	0.238643i
$333$	−4.59148	−	7.99820i	−0.251612	−	0.438299i
$334$	2.82737	−	4.89716i	0.154707	−	0.267960i
$335$	3.21646	+	5.57107i	0.175734	+	0.304380i
$336$	3.12716	−	6.68466i	0.170600	−	0.364678i
$337$	−23.7795	−	4.19297i	−1.29535	−	0.228406i	−0.516867	−	0.856066i	$-0.672902\pi$
$337$	−23.7795	−	4.19297i	−1.29535	−	0.228406i	−0.778487	+	0.627660i	$0.784013\pi$
$338$	3.00107	+	17.0199i	0.163237	+	0.925761i
$339$	2.57097	+	9.64258i	0.139636	+	0.523713i
$340$	5.34414	+	4.48427i	0.289827	+	0.243194i
$341$	4.12185			0.223211
$342$	−12.3672	+	4.24872i	−0.668743	+	0.229744i
$343$	−17.7020			−0.955817
$344$	2.10255	+	1.76425i	0.113362	+	0.0951220i
$345$	−1.89203	−	7.09616i	−0.101863	−	0.382045i
$346$	−3.23459	−	18.3443i	−0.173892	−	0.986193i
$347$	24.2960	+	4.28404i	1.30428	+	0.229979i	0.782258	−	0.622954i	$-0.214068\pi$
$347$	24.2960	+	4.28404i	1.30428	+	0.229979i	0.522020	+	0.852933i	$0.325179\pi$
$348$	1.92398	−	4.11273i	0.103136	−	0.220465i
$349$	0.0642918	+	0.111357i	0.00344146	+	0.00596079i	0.867741	−	0.497017i	$-0.165571\pi$
$349$	0.0642918	+	0.111357i	0.00344146	+	0.00596079i	−0.864300	+	0.502977i	$0.832238\pi$
$350$	2.13041	−	3.68998i	0.113875	−	0.197238i
$351$	−25.9597	+	11.9884i	−1.38563	+	0.639894i
$352$	1.64671	+	1.96247i	0.0877700	+	0.104600i
$353$	−10.0088	−	5.77857i	−0.532713	−	0.307562i	0.209408	−	0.977828i	$-0.432846\pi$
$353$	−10.0088	−	5.77857i	−0.532713	−	0.307562i	−0.742121	+	0.670266i	$0.766180\pi$
$354$	11.4613	−	5.32730i	0.609163	−	0.283143i
$355$	1.76535	−	4.85026i	0.0936951	−	0.257425i
$356$	−2.06201	+	11.6942i	−0.109286	+	0.619794i
$357$	−4.42390	−	51.2943i	−0.234137	−	2.71478i
$358$	−14.9569	+	5.44386i	−0.790495	+	0.287717i
$359$	−19.0660	+	22.7220i	−1.00626	+	1.19922i	−0.0263801	+	0.999652i	$0.508398\pi$
$359$	−19.0660	+	22.7220i	−1.00626	+	1.19922i	−0.979884	+	0.199567i	$0.936046\pi$
$360$	0.528234	−	2.95313i	0.0278404	−	0.155644i
$361$	10.0114	−	16.1484i	0.526915	−	0.849918i
$362$		−	16.6991i		−	0.877687i
$363$	5.44094	−	5.42753i	0.285575	−	0.284871i
$364$	8.01938	+	22.0331i	0.420330	+	1.15485i
$365$	−9.38053	+	1.65404i	−0.490999	+	0.0865764i
$366$	7.31926	+	1.97087i	0.382584	+	0.103019i
$367$	16.1911	+	5.89307i	0.845167	+	0.307616i	0.728068	−	0.685505i	$-0.240418\pi$
$367$	16.1911	+	5.89307i	0.845167	+	0.307616i	0.117099	+	0.993120i	$0.462641\pi$
$368$	−3.67203	+	2.12005i	−0.191418	+	0.110515i
$369$	20.7517	−	24.6073i	1.08029	−	1.28100i
$370$	−2.35493	+	1.97602i	−0.122427	+	0.102728i
$371$	38.4794	−	32.2880i	1.99775	−	1.67631i
$372$	−1.60125	+	2.28082i	−0.0830208	+	0.118255i
$373$	9.14463	−	5.27965i	0.473491	−	0.273370i	−0.244209	−	0.969723i	$-0.578528\pi$
$373$	9.14463	−	5.27965i	0.473491	−	0.273370i	0.717700	+	0.696353i	$0.245195\pi$
$374$	16.7942	+	6.11260i	0.868409	+	0.316075i
$375$	0.450352	−	1.67248i	0.0232561	−	0.0863664i
$376$	6.87628	−	1.21247i	0.354617	−	0.0625286i
$377$	4.93391	+	13.5558i	0.254109	+	0.698160i
$378$	−18.1828	+	12.6317i	−0.935223	+	0.649704i
$379$			6.14900i			0.315853i	0.987451	+	0.157926i	$0.0504809\pi$
$379$			6.14900i			0.315853i	−0.987451	+	0.157926i	$0.949519\pi$
$380$	2.11998	+	3.80863i	0.108753	+	0.195379i
$381$	10.7029	+	0.949689i	0.548325	+	0.0486540i
$382$	−4.89035	+	5.82810i	−0.250212	+	0.298191i
$383$	−12.2544	+	4.46022i	−0.626169	+	0.227907i	−0.635563	−	0.772049i	$-0.719232\pi$
$383$	−12.2544	+	4.46022i	−0.626169	+	0.227907i	0.00939418	+	0.999956i	$0.497010\pi$
$384$	−1.72564	+	0.148829i	−0.0880614	+	0.00759490i
$385$	1.89545	−	10.7497i	0.0966013	−	0.547853i
$386$	7.16645	−	19.6897i	0.364763	−	1.00218i
$387$	−2.79711	−	7.74441i	−0.142185	−	0.393671i
$388$	13.9140	+	8.03325i	0.706376	+	0.407826i
$389$	16.2440	+	19.3589i	0.823604	+	0.981534i	0.999996	−	0.00278647i	$-0.000886963\pi$
$389$	16.2440	+	19.3589i	0.823604	+	0.981534i	−0.176392	+	0.984320i	$0.556443\pi$
$390$	5.45734	+	7.81440i	0.276343	+	0.395697i
$391$	−14.7901	+	25.6172i	−0.747966	+	1.29552i
$392$	5.57730	+	9.66016i	0.281696	+	0.487912i
$393$	−10.1158	−	4.73227i	−0.510273	−	0.238711i
$394$	−20.5021	−	3.61507i	−1.03288	−	0.182124i
$395$	−1.60304	−	9.09129i	−0.0806577	−	0.457432i
$396$	−1.31589	−	7.57199i	−0.0661258	−	0.380507i
$397$	−1.05392	−	0.884341i	−0.0528946	−	0.0443838i	0.615957	−	0.787780i	$-0.288769\pi$
$397$	−1.05392	−	0.884341i	−0.0528946	−	0.0443838i	−0.668852	+	0.743396i	$0.733214\pi$
$398$	2.07499			0.104010
$399$	8.85029	−	30.9271i	0.443069	−	1.54829i
$400$	−1.00000			−0.0500000
$401$	−25.2461	−	21.1840i	−1.26073	−	1.05788i	−0.995604	−	0.0936651i	$-0.970142\pi$
$401$	−25.2461	−	21.1840i	−1.26073	−	1.05788i	−0.265127	−	0.964214i	$-0.585414\pi$
$402$	−10.7660	+	2.87052i	−0.536961	+	0.143168i
$403$	−1.53747	−	8.71945i	−0.0765871	−	0.434347i
$404$	−1.00031	−	0.176382i	−0.0497673	−	0.00877532i
$405$	−5.81905	+	6.86576i	−0.289151	+	0.341162i
$406$	5.58479	+	9.67315i	0.277169	+	0.480070i
$407$	−3.93771	+	6.82031i	−0.195185	+	0.338070i
$408$	−9.90659	+	6.91847i	−0.490449	+	0.342515i
$409$	10.6152	+	12.6508i	0.524890	+	0.625540i	0.961730	−	0.274000i	$-0.0883467\pi$
$409$	10.6152	+	12.6508i	0.524890	+	0.625540i	−0.436840	+	0.899539i	$0.643902\pi$
$410$	−9.29224	−	5.36488i	−0.458911	−	0.264952i
$411$	−0.422840	−	0.909712i	−0.0208572	−	0.0448728i
$412$	1.17810	−	3.23680i	0.0580408	−	0.159466i
$413$	−5.39899	+	30.6192i	−0.265667	+	1.50667i
$414$	12.7203	+	0.0313921i	0.625167	+	0.00154284i
$415$	−5.33395	+	1.94140i	−0.261833	+	0.0952995i
$416$	3.53723	−	4.21551i	0.173427	−	0.206682i
$417$	−1.67398	+	18.8655i	−0.0819749	+	0.923847i
$418$	8.44060	+	7.31113i	0.412843	+	0.357599i
$419$		−	3.48456i		−	0.170232i	−0.996371	−	0.0851160i	$-0.972874\pi$
$419$		−	3.48456i		−	0.170232i	0.996371	−	0.0851160i	$-0.0271261\pi$
$420$	5.21198	+	5.22485i	0.254318	+	0.254947i
$421$	5.77077	+	15.8551i	0.281250	+	0.772728i	0.997214	+	0.0745910i	$0.0237651\pi$
$421$	5.77077	+	15.8551i	0.281250	+	0.772728i	−0.715964	+	0.698137i	$0.754013\pi$
$422$	−15.0778	+	2.65862i	−0.733976	+	0.129420i
$423$	−19.6661	−	7.21288i	−0.956197	−	0.350702i
$424$	−11.0781	−	4.03211i	−0.538002	−	0.195817i
$425$	−6.04164	+	3.48814i	−0.293063	+	0.169200i
$426$	7.31693	+	5.13684i	0.354506	+	0.248880i
$427$	−14.2841	+	11.9858i	−0.691258	+	0.580034i
$428$	11.1699	−	9.37267i	0.539918	−	0.453045i
$429$	19.9846	+	14.0301i	0.964865	+	0.677381i
$430$	−2.37697	+	1.37234i	−0.114628	+	0.0661803i
$431$	−31.1425	−	11.3350i	−1.50008	−	0.545985i	−0.544000	−	0.839085i	$-0.683091\pi$
$431$	−31.1425	−	11.3350i	−1.50008	−	0.545985i	−0.956082	+	0.293100i	$0.905313\pi$
$432$	4.70115	+	2.21341i	0.226184	+	0.106493i
$433$	13.6339	−	2.40403i	0.655204	−	0.115530i	0.163843	−	0.986486i	$-0.447611\pi$
$433$	13.6339	−	2.40403i	0.655204	−	0.115530i	0.491360	+	0.870956i	$0.336500\pi$
$434$	−2.34470	−	6.44201i	−0.112549	−	0.309226i
$435$	3.20666	+	3.21458i	0.153748	+	0.154128i
$436$			5.37639i			0.257482i
$437$	−14.3427	+	11.6566i	−0.686106	+	0.557611i
$438$	1.45819	−	16.4336i	0.0696751	−	0.785229i
$439$	−1.41513	+	1.68649i	−0.0675406	+	0.0804917i	−0.798757	−	0.601654i	$-0.794509\pi$
$439$	−1.41513	+	1.68649i	−0.0675406	+	0.0804917i	0.731216	+	0.682146i	$0.238953\pi$
$440$	−2.40733	+	0.876197i	−0.114765	+	0.0417710i
$441$	0.0825844	−	33.4637i	0.00393259	−	1.59351i
$442$	6.66638	−	37.8069i	0.317087	−	1.79829i
$443$	4.73384	−	13.0061i	0.224911	−	0.617939i	−0.774990	−	0.631973i	$-0.782245\pi$
$443$	4.73384	−	13.0061i	0.224911	−	0.617939i	0.999902	+	0.0140344i	$0.00446742\pi$
$444$	−2.24430	−	4.82847i	−0.106510	−	0.229149i
$445$	−10.2837	−	5.93732i	−0.487496	−	0.281456i
$446$	1.82219	+	2.17160i	0.0862833	+	0.102828i
$447$	9.84680	−	6.87671i	0.465738	−	0.325257i
$448$	2.13041	−	3.68998i	0.100652	−	0.174335i
$449$	−7.56024	−	13.0947i	−0.356790	−	0.617978i	0.630633	−	0.776081i	$-0.282795\pi$
$449$	−7.56024	−	13.0947i	−0.356790	−	0.617978i	−0.987423	+	0.158103i	$0.949462\pi$
$450$	2.59437	+	1.50641i	0.122300	+	0.0710127i
$451$	−27.0702	−	4.77320i	−1.27469	−	0.224761i
$452$	1.00050	+	5.67410i	0.0470594	+	0.266887i
$453$	23.7856	−	6.34189i	1.11755	−	0.297968i
$454$	−5.15279	−	4.32371i	−0.241833	−	0.202922i
$455$	−23.4471			−1.09922
$456$	−7.32459	+	1.83039i	−0.343006	+	0.0857159i
$457$	−32.4808			−1.51939			−0.759695	−	0.650280i	$-0.774652\pi$
$457$	−32.4808			−1.51939			−0.759695	+	0.650280i	$0.774652\pi$
$458$	18.8265	+	15.7973i	0.879706	+	0.738161i
$459$	36.1233	−	3.02568i	1.68609	−	0.141227i
$460$	−0.736286	−	4.17568i	−0.0343295	−	0.194692i
$461$	−9.91246	−	1.74783i	−0.461670	−	0.0814048i	−0.0620242	−	0.998075i	$-0.519756\pi$
$461$	−9.91246	−	1.74783i	−0.461670	−	0.0814048i	−0.399645	+	0.916670i	$0.630867\pi$
$462$	17.1249	+	8.01124i	0.796725	+	0.372716i
$463$	−12.6165	−	21.8523i	−0.586336	−	1.01556i	−0.994707	−	0.102748i	$-0.967236\pi$
$463$	−12.6165	−	21.8523i	−0.586336	−	1.01556i	0.408371	−	0.912816i	$-0.366097\pi$
$464$	1.31073	−	2.27025i	0.0608492	−	0.105394i
$465$	−1.59561	−	2.28477i	−0.0739948	−	0.105954i
$466$	−16.6593	−	19.8538i	−0.771729	−	0.919711i
$467$	−8.79622	−	5.07850i	−0.407041	−	0.235005i	0.282477	−	0.959274i	$-0.408844\pi$
$467$	−8.79622	−	5.07850i	−0.407041	−	0.235005i	−0.689517	+	0.724269i	$0.742177\pi$
$468$	−15.5271	+	5.60806i	−0.717742	+	0.259233i
$469$	9.37461	−	25.7565i	0.432879	−	1.18933i
$470$	−1.21247	+	6.87628i	−0.0559273	+	0.317179i
$471$	20.9197	−	1.80423i	0.963930	−	0.0831345i
$472$	6.85701	−	2.49575i	0.315620	−	0.114876i
$473$	−4.51971	+	5.38638i	−0.207816	+	0.247666i
$474$	15.9269	+	1.41323i	0.731548	+	0.0649118i
$475$	−4.30402	+	0.689497i	−0.197482	+	0.0316363i
$476$		−	29.7247i		−	1.36243i
$477$	22.6667	+	27.1490i	1.03784	+	1.24307i
$478$	−0.493509	−	1.35591i	−0.0225726	−	0.0620177i
$479$	7.93877	−	1.39982i	0.362732	−	0.0639594i	0.0106877	−	0.999943i	$-0.496598\pi$
$479$	7.93877	−	1.39982i	0.362732	−	0.0639594i	0.352044	+	0.935984i	$0.385487\pi$
$480$	0.450352	−	1.67248i	0.0205557	−	0.0763378i
$481$	15.8966	+	5.78590i	0.724823	+	0.263814i
$482$	26.3512	−	15.2139i	1.20027	−	0.692974i
$483$	−17.9798	+	25.6105i	−0.818111	+	1.16532i
$484$	3.39897	−	2.85207i	0.154499	−	0.129640i
$485$	−12.3076	+	10.3273i	−0.558861	+	0.468940i
$486$	−8.86222	−	12.8242i	−0.401998	−	0.581719i
$487$	20.1814	−	11.6517i	0.914506	−	0.527990i	0.0326280	−	0.999468i	$-0.489612\pi$
$487$	20.1814	−	11.6517i	0.914506	−	0.527990i	0.881878	+	0.471477i	$0.156279\pi$
$488$	4.11237	+	1.49678i	0.186158	+	0.0677561i
$489$	−10.3311	−	2.78188i	−0.467189	−	0.125801i
$490$	−10.9851	+	1.93698i	−0.496258	+	0.0875036i
$491$	−5.33075	−	14.6461i	−0.240573	−	0.660969i	−0.999947	−	0.0103146i	$-0.996717\pi$
$491$	−5.33075	−	14.6461i	−0.240573	−	0.660969i	0.759374	−	0.650655i	$-0.225506\pi$
$492$	13.1574	−	13.1250i	0.593182	−	0.591720i
$493$		−	18.2881i		−	0.823654i
$494$	12.3177	−	20.5825i	0.554201	−	0.926052i
$495$	7.56541	+	1.35324i	0.340040	+	0.0608238i
$496$	−1.03421	+	1.23253i	−0.0464375	+	0.0553421i
$497$	−20.6661	+	7.52184i	−0.927001	+	0.337401i
$498$	−0.844793	−	9.79522i	−0.0378561	−	0.438934i
$499$	2.00174	−	11.3525i	0.0896104	−	0.508206i	−0.906656	−	0.421871i	$-0.861373\pi$
$499$	2.00174	−	11.3525i	0.0896104	−	0.508206i	0.996266	−	0.0863347i	$-0.0275154\pi$
$500$	0.342020	−	0.939693i	0.0152956	−	0.0420243i
$501$	−8.88176	+	4.12830i	−0.396808	+	0.184439i
$502$	−20.2519	−	11.6925i	−0.903888	−	0.521860i
$503$	−11.7860	−	14.0461i	−0.525514	−	0.626283i	0.436361	−	0.899771i	$-0.356267\pi$
$503$	−11.7860	−	14.0461i	−0.525514	−	0.626283i	−0.961875	+	0.273488i	$0.911822\pi$
$504$	−11.0857	+	6.36389i	−0.493795	+	0.283470i
$505$	0.507871	−	0.879658i	0.0226000	−	0.0391443i
$506$	−5.43120	−	9.40712i	−0.241446	−	0.418197i
$507$	12.6842	−	27.1139i	0.563324	−	1.20417i
$508$	6.10934	+	1.07724i	0.271058	+	0.0477948i
$509$	−3.28138	−	18.6096i	−0.145445	−	0.824857i	−0.967009	−	0.254742i	$-0.918010\pi$
$509$	−3.28138	−	18.6096i	−0.145445	−	0.824857i	0.821564	−	0.570116i	$-0.193102\pi$
$510$	−3.11298	−	11.6754i	−0.137845	−	0.516995i
$511$	31.0902	+	26.0877i	1.37535	+	1.15405i
$512$	−1.00000			−0.0441942
$513$	21.7600	+	6.28512i	0.960727	+	0.277495i
$514$	−3.10572			−0.136987
$515$	2.63867	+	2.21410i	0.116274	+	0.0975651i
$516$	−1.22474	−	4.59347i	−0.0539163	−	0.202216i
$517$	3.10615	+	17.6158i	0.136608	+	0.774744i
$518$	12.8994	+	2.27450i	0.566765	+	0.0999360i
$519$	−13.6711	+	29.2237i	−0.600097	+	1.28278i
$520$	2.75148	+	4.76570i	0.120660	+	0.208990i
$521$	0.848712	−	1.47001i	0.0371828	−	0.0644024i	−0.846835	−	0.531855i	$-0.821495\pi$
$521$	0.848712	−	1.47001i	0.0371828	−	0.0644024i	0.884018	+	0.467453i	$0.154828\pi$
$522$	−6.82045	+	3.91538i	−0.298523	+	0.171371i
$523$	−16.6503	−	19.8431i	−0.728067	−	0.867676i	0.267321	−	0.963607i	$-0.413862\pi$
$523$	−16.6503	−	19.8431i	−0.728067	−	0.867676i	−0.995388	+	0.0959314i	$0.969417\pi$
$524$	−5.58398	−	3.22391i	−0.243937	−	0.140837i
$525$	−6.69236	+	3.11065i	−0.292078	+	0.135760i
$526$	9.80070	−	26.9272i	0.427331	−	1.17408i
$527$	−1.94911	+	11.0540i	−0.0849046	+	0.481518i
$528$	−0.381274	−	4.42081i	−0.0165928	−	0.192391i
$529$	−4.71872	+	1.71747i	−0.205162	+	0.0746728i
$530$	7.57789	−	9.03098i	0.329163	−	0.392281i
$531$	−21.5492	−	3.85457i	−0.935156	−	0.167274i
$532$	6.62510	−	17.3507i	0.287235	−	0.752246i
$533$			59.0453i			2.55754i
$534$	14.5614	−	14.5255i	0.630131	−	0.628578i
$535$	4.98710	+	13.7019i	0.215611	+	0.592386i
$536$	−6.33519	+	1.11706i	−0.273638	+	0.0482498i
$537$	26.6205	+	7.16815i	1.14876	+	0.309328i
$538$	18.5768	+	6.76139i	0.800901	+	0.291504i
$539$	−24.7477	+	14.2881i	−1.06596	+	0.615431i
$540$	−3.68781	+	3.66061i	−0.158698	+	0.157527i
$541$	29.0175	−	24.3486i	1.24756	−	1.04683i	0.250666	−	0.968074i	$-0.419350\pi$
$541$	29.0175	−	24.3486i	1.24756	−	1.04683i	0.996894	−	0.0787534i	$-0.0250940\pi$
$542$	−9.01128	+	7.56136i	−0.387067	+	0.324788i
$543$	−16.6192	+	23.6725i	−0.713199	+	1.01588i
$544$	−6.04164	+	3.48814i	−0.259033	+	0.149553i
$545$	−5.05215	−	1.83883i	−0.216410	−	0.0787669i
$546$	10.5594	−	39.2147i	0.451902	−	1.67824i
$547$	−6.69830	+	1.18109i	−0.286399	+	0.0504998i	−0.315002	−	0.949091i	$-0.602005\pi$
$547$	−6.69830	+	1.18109i	−0.286399	+	0.0504998i	0.0286032	+	0.999591i	$0.490894\pi$
$548$	−0.198093	−	0.544257i	−0.00846213	−	0.0232495i
$549$	−8.41424	−	10.0781i	−0.359111	−	0.430123i
$550$		−	2.56183i		−	0.109237i
$551$	4.07608	−	10.6750i	0.173647	−	0.454769i
$552$	7.31533	+	0.649105i	0.311361	+	0.0276277i
$553$	−25.2834	+	30.1315i	−1.07516	+	1.28132i
$554$	5.87945	−	2.13994i	0.249794	−	0.0909175i
$555$	5.30487	−	0.457521i	0.225179	−	0.0194207i
$556$	−1.89881	+	10.7687i	−0.0805273	+	0.456693i
$557$	−3.53731	+	9.71867i	−0.149881	+	0.411793i	−0.991798	−	0.127812i	$-0.959204\pi$
$557$	−3.53731	+	9.71867i	−0.149881	+	0.411793i	0.841918	+	0.539606i	$0.181427\pi$
$558$	4.53981	−	1.63968i	0.192186	−	0.0694132i
$559$	13.0803	+	7.55194i	0.553239	+	0.319413i
$560$	2.73880	+	3.26398i	0.115736	+	0.137928i
$561$	−17.7239	−	25.3790i	−0.748304	−	1.07150i
$562$	−7.68816	+	13.3163i	−0.324305	+	0.561713i
$563$	11.1135	+	19.2491i	0.468377	+	0.811254i	0.999347	−	0.0361375i	$-0.0115054\pi$
$563$	11.1135	+	19.2491i	0.468377	+	0.811254i	−0.530969	+	0.847391i	$0.678172\pi$
$564$	−10.9544	−	5.12458i	−0.461263	−	0.215784i
$565$	−5.67410	−	1.00050i	−0.238711	−	0.0420912i
$566$	2.65323	+	15.0472i	0.111523	+	0.632481i
$567$	38.3469	+	0.189272i	1.61042	+	0.00794870i
$568$	3.95397	+	3.31777i	0.165905	+	0.139211i
$569$	−10.2839			−0.431124			−0.215562	−	0.976490i	$-0.569158\pi$
$569$	−10.2839			−0.431124			−0.215562	+	0.976490i	$0.569158\pi$
$570$	0.785154	−	7.50890i	0.0328865	−	0.314513i
$571$	0.772141			0.0323131			0.0161566	−	0.999869i	$-0.494857\pi$
$571$	0.772141			0.0323131			0.0161566	+	0.999869i	$0.494857\pi$
$572$	10.7994	+	9.06177i	0.451546	+	0.378892i
$573$	12.7327	−	3.39488i	0.531916	−	0.141823i
$574$	7.93877	+	45.0230i	0.331358	+	1.87922i
$575$	4.17568	+	0.736286i	0.174138	+	0.0307052i
$576$	2.59437	+	1.50641i	0.108099	+	0.0627670i
$577$	−9.56103	−	16.5602i	−0.398031	−	0.689410i	0.595452	−	0.803391i	$-0.296973\pi$
$577$	−9.56103	−	16.5602i	−0.398031	−	0.689410i	−0.993483	+	0.113981i	$0.963640\pi$
$578$	−15.8343	+	27.4258i	−0.658619	+	1.14076i
$579$	−29.7545	+	20.7796i	−1.23655	+	0.863572i
$580$	1.68504	+	2.00816i	0.0699677	+	0.0833842i
$581$	20.9453	+	12.0928i	0.868958	+	0.501693i
$582$	−11.7295	−	25.2352i	−0.486203	−	1.04603i
$583$	10.3296	−	28.3803i	0.427807	−	1.17539i
$584$	1.65404	−	9.38053i	0.0684447	−	0.388169i
$585$	0.0407418	−	16.5088i	0.00168446	−	0.682555i
$586$	−14.7672	+	5.37482i	−0.610027	+	0.222032i
$587$	24.8432	−	29.6069i	1.02539	−	1.22201i	0.0506359	−	0.998717i	$-0.483875\pi$
$587$	24.8432	−	29.6069i	1.02539	−	1.22201i	0.974752	−	0.223292i	$-0.0716804\pi$
$588$	1.70763	−	19.2447i	0.0704213	−	0.793639i
$589$	−3.60145	+	6.01790i	−0.148395	+	0.247963i
$590$			7.29708i			0.300416i
$591$	25.4657	+	25.5286i	1.04752	+	1.05011i
$592$	−1.05142	−	2.88874i	−0.0432130	−	0.118727i
$593$	−13.7036	+	2.41632i	−0.562740	+	0.0992263i	−0.447780	−	0.894144i	$-0.647785\pi$
$593$	−13.7036	+	2.41632i	−0.562740	+	0.0992263i	−0.114960	+	0.993370i	$0.536674\pi$
$594$	−5.67037	+	12.0435i	−0.232658	+	0.494153i
$595$	27.9321	+	10.1664i	1.14510	+	0.416784i
$596$	6.00518	−	3.46709i	0.245982	−	0.142018i
$597$	−2.94147	−	2.06505i	−0.120386	−	0.0845170i
$598$	−17.8742	+	14.9982i	−0.730929	+	0.613322i
$599$	14.9746	−	12.5652i	0.611847	−	0.513400i	−0.283382	−	0.959007i	$-0.591457\pi$
$599$	14.9746	−	12.5652i	0.611847	−	0.513400i	0.895229	+	0.445607i	$0.147012\pi$
$600$	1.41759	+	0.995214i	0.0578727	+	0.0406294i
$601$	−7.44843	+	4.30035i	−0.303828	+	0.175415i	−0.644161	−	0.764890i	$-0.722793\pi$
$601$	−7.44843	+	4.30035i	−0.303828	+	0.175415i	0.340333	+	0.940305i	$0.389460\pi$
$602$	10.9893	+	3.99980i	0.447892	+	0.163019i
$603$	18.1186	+	6.64530i	0.737845	+	0.270617i
$604$	13.9965	−	2.46795i	0.569508	−	0.100420i
$605$	1.51756	+	4.16945i	0.0616974	+	0.169512i
$606$	1.24249	+	1.24556i	0.0504726	+	0.0505974i
$607$		−	20.2882i		−	0.823475i	−0.911303	−	0.411737i	$-0.864922\pi$
$607$		−	20.2882i		−	0.823475i	0.911303	−	0.411737i	$-0.135078\pi$
$608$	−4.30402	+	0.689497i	−0.174551	+	0.0279628i
$609$	1.70992	−	19.2706i	0.0692895	−	0.780883i
$610$	−2.81303	+	3.35244i	−0.113896	+	0.135736i
$611$	36.1064	−	13.1416i	1.46071	−	0.531654i
$612$	20.9288	+	0.0516498i	0.845996	+	0.00208782i
$613$	3.08534	−	17.4978i	0.124616	−	0.706730i	−0.856920	−	0.515449i	$-0.827625\pi$
$613$	3.08534	−	17.4978i	0.124616	−	0.706730i	0.981535	−	0.191280i	$-0.0612639\pi$
$614$	3.74629	−	10.2928i	0.151188	−	0.415385i
$615$	7.83335	+	16.8529i	0.315871	+	0.679576i
$616$	9.45309	+	5.45775i	0.380876	+	0.219899i
$617$	−9.94206	−	11.8485i	−0.400252	−	0.477002i	0.527845	−	0.849341i	$-0.323000\pi$
$617$	−9.94206	−	11.8485i	−0.400252	−	0.477002i	−0.928097	+	0.372339i	$0.878556\pi$
$618$	−4.89137	+	3.41599i	−0.196760	+	0.137411i
$619$	16.5092	−	28.5947i	0.663560	−	1.14932i	−0.316114	−	0.948721i	$-0.602378\pi$
$619$	16.5092	−	28.5947i	0.663560	−	1.14932i	0.979674	−	0.200598i	$-0.0642885\pi$
$620$	−0.804474	−	1.39339i	−0.0323085	−	0.0559599i
$621$	−18.0008	−	12.7039i	−0.722348	−	0.509789i
$622$	27.0089	+	4.76240i	1.08296	+	0.190955i
$623$	8.78586	+	49.8271i	0.351998	+	1.99628i
$624$	−9.20965	+	2.45554i	−0.368681	+	0.0983004i
$625$	0.766044	+	0.642788i	0.0306418	+	0.0257115i
$626$	22.3389			0.892841
$627$	−4.68915	−	18.7643i	−0.187266	−	0.749376i
$628$	12.1228			0.483754
$629$	−16.4286	−	13.7853i	−0.655053	−	0.549654i
$630$	−2.18858	−	12.5937i	−0.0871950	−	0.501745i
$631$	−7.06912	−	40.0910i	−0.281417	−	1.59600i	−0.717810	−	0.696239i	$-0.754855\pi$
$631$	−7.06912	−	40.0910i	−0.281417	−	1.59600i	0.436393	−	0.899756i	$-0.356256\pi$
$632$	9.09129	+	1.60304i	0.361632	+	0.0637655i
$633$	24.0200	+	11.2368i	0.954709	+	0.446623i
$634$	−14.7479	−	25.5442i	−0.585715	−	1.01449i
$635$	−3.10179	+	5.37246i	−0.123091	+	0.213200i
$636$	11.6914	+	16.7410i	0.463594	+	0.663823i
$637$	39.4564	+	47.0223i	1.56332	+	1.86309i
$638$	5.81600	+	3.35787i	0.230258	+	0.132939i
$639$	−5.26013	−	14.5638i	−0.208087	−	0.576136i
$640$	0.342020	−	0.939693i	0.0135195	−	0.0371446i
$641$	5.05647	−	28.6767i	0.199719	−	1.13266i	−0.705818	−	0.708393i	$-0.749420\pi$
$641$	5.05647	−	28.6767i	0.199719	−	1.13266i	0.905537	−	0.424268i	$-0.139468\pi$
$642$	−25.1621	+	2.17012i	−0.993070	+	0.0856477i
$643$	−18.9370	+	6.89251i	−0.746803	+	0.271814i	−0.687260	−	0.726412i	$-0.741187\pi$
$643$	−18.9370	+	6.89251i	−0.746803	+	0.271814i	−0.0595430	+	0.998226i	$0.518964\pi$
$644$	−11.6128	+	13.8396i	−0.457608	+	0.545356i
$645$	4.73533	+	0.420176i	0.186454	+	0.0165444i
$646$	−23.5983	+	19.1787i	−0.928462	+	0.754577i
$647$			20.4635i			0.804505i	0.915529	+	0.402253i	$0.131773\pi$
$647$			20.4635i			0.804505i	−0.915529	+	0.402253i	$0.868227\pi$
$648$	−4.46147	−	7.81634i	−0.175263	−	0.307055i
$649$	6.39368	+	17.5665i	0.250974	+	0.689545i
$650$	−5.41935	+	0.955577i	−0.212564	+	0.0374808i
$651$	−3.08736	+	11.4656i	−0.121003	+	0.449371i
$652$	−5.80460	−	2.11270i	−0.227326	−	0.0827397i
$653$	13.9615	−	8.06067i	0.546355	−	0.315438i	−0.201295	−	0.979531i	$-0.564515\pi$
$653$	13.9615	−	8.06067i	0.546355	−	0.315438i	0.747651	+	0.664092i	$0.231182\pi$
$654$	5.35065	−	7.62149i	0.209227	−	0.298024i
$655$	4.93932	−	4.14458i	0.192995	−	0.161942i
$656$	8.21947	−	6.89695i	0.320916	−	0.269281i
$657$	−18.4221	+	21.8449i	−0.718714	+	0.852249i
$658$	25.7648	−	14.8753i	1.00441	−	0.579899i
$659$	−25.3324	−	9.22023i	−0.986809	−	0.359169i	−0.202325	−	0.979318i	$-0.564850\pi$
$659$	−25.3324	−	9.22023i	−0.986809	−	0.359169i	−0.784484	+	0.620149i	$0.787072\pi$
$660$	4.28460	+	1.15372i	0.166778	+	0.0449086i
$661$	−30.7098	+	5.41497i	−1.19447	+	0.210618i	−0.735308	−	0.677733i	$-0.762962\pi$
$661$	−30.7098	+	5.41497i	−1.19447	+	0.210618i	−0.459165	+	0.888351i	$0.651851\pi$
$662$	−2.33111	−	6.40466i	−0.0906010	−	0.248924i
$663$	−47.0761	+	46.9601i	−1.82829	+	1.82378i
$664$		−	5.67627i		−	0.220282i
$665$	14.0384	+	12.1598i	0.544385	+	0.471538i
$666$	−1.62386	+	9.07832i	−0.0629235	+	0.351778i
$667$	−7.14476	+	8.51479i	−0.276646	+	0.329694i
$668$	−5.31373	+	1.93404i	−0.205594	+	0.0748302i
$669$	−0.421904	−	4.89191i	−0.0163118	−	0.189132i
$670$	1.11706	−	6.33519i	0.0431560	−	0.244750i
$671$	−3.83450	+	10.5352i	−0.148029	+	0.406707i
$672$	−6.69236	+	3.11065i	−0.258163	+	0.119996i
$673$	−3.60063	−	2.07882i	−0.138794	−	0.0801328i	0.428995	−	0.903307i	$-0.358868\pi$
$673$	−3.60063	−	2.07882i	−0.138794	−	0.0801328i	−0.567789	+	0.823174i	$0.692201\pi$
$674$	15.5210	+	18.4972i	0.597846	+	0.712485i
$675$	−2.17854	−	4.71741i	−0.0838521	−	0.181573i
$676$	8.64124	−	14.9671i	0.332355	−	0.575656i
$677$	10.9125	+	18.9010i	0.419402	+	0.726425i	0.995879	−	0.0906878i	$-0.0289065\pi$
$677$	10.9125	+	18.9010i	0.419402	+	0.726425i	−0.576478	+	0.817113i	$0.695573\pi$
$678$	4.22865	−	9.03924i	0.162400	−	0.347150i
$679$	67.4164	+	11.8873i	2.58721	+	0.456194i
$680$	−1.21142	−	6.87030i	−0.0464558	−	0.263464i
$681$	3.00152	+	11.2574i	0.115018	+	0.431383i
$682$	−3.15752	−	2.64947i	−0.120908	−	0.101454i
$683$	−32.2878			−1.23546			−0.617729	−	0.786391i	$-0.711947\pi$
$683$	−32.2878			−1.23546			−0.617729	+	0.786391i	$0.711947\pi$
$684$	12.2049	+	4.69480i	0.466665	+	0.179510i
$685$	0.579186			0.0221296
$686$	13.5605	+	11.3786i	0.517743	+	0.434438i
$687$	−10.9665	−	41.1305i	−0.418398	−	1.56923i
$688$	−0.476610	−	2.70299i	−0.0181706	−	0.103050i
$689$	−63.8893	−	11.2654i	−2.43399	−	0.429178i
$690$	−3.11195	+	6.65215i	−0.118470	+	0.253243i
$691$	2.18316	+	3.78134i	0.0830512	+	0.143849i	0.904559	−	0.426348i	$-0.140200\pi$
$691$	2.18316	+	3.78134i	0.0830512	+	0.143849i	−0.821508	+	0.570197i	$0.806867\pi$
$692$	−9.31362	+	16.1317i	−0.354051	+	0.613234i
$693$	−16.3032	−	28.3996i	−0.619307	−	1.07881i
$694$	−15.8581	−	18.8989i	−0.601965	−	0.717394i
$695$	−9.46980	−	5.46739i	−0.359210	−	0.207390i
$696$	−4.11746	+	1.91382i	−0.156072	+	0.0725433i
$697$	25.6015	−	70.3396i	0.969726	−	2.66430i
$698$	0.0223283	−	0.126630i	0.000845139	−	0.00479302i
$699$	3.85725	+	44.7241i	0.145895	+	1.69162i
$700$	−4.00386	+	1.45729i	−0.151332	+	0.0550803i
$701$	11.9709	−	14.2664i	0.452136	−	0.538835i	−0.491036	−	0.871139i	$-0.663382\pi$
$701$	11.9709	−	14.2664i	0.452136	−	0.538835i	0.943172	+	0.332304i	$0.107826\pi$
$702$	27.5923	+	7.50291i	1.04140	+	0.283179i
$703$	−6.51710	−	11.7083i	−0.245797	−	0.441586i
$704$		−	2.56183i		−	0.0965525i
$705$	8.56215	−	8.54105i	0.322469	−	0.321675i
$706$	3.95277	+	10.8602i	0.148765	+	0.408727i
$707$	−4.26214	+	0.751531i	−0.160294	+	0.0282642i
$708$	−12.2042	−	3.28625i	−0.458662	−	0.123505i
$709$	−0.642844	−	0.233976i	−0.0241425	−	0.00878716i	0.329921	−	0.944009i	$-0.392978\pi$
$709$	−0.642844	−	0.233976i	−0.0241425	−	0.00878716i	−0.354063	+	0.935222i	$0.615200\pi$
$710$	−4.47003	+	2.58077i	−0.167757	+	0.0968546i
$711$	−21.1713	−	17.8541i	−0.793986	−	0.669579i
$712$	9.09651	−	7.63288i	0.340906	−	0.286054i
$713$	5.22603	−	4.38516i	0.195716	−	0.164226i
$714$	−29.5824	+	42.1373i	−1.10709	+	1.57695i
$715$	−12.2089	+	7.04881i	−0.456587	+	0.263610i
$716$	14.9569	+	5.44386i	0.558965	+	0.203446i
$717$	−0.649823	+	2.41326i	−0.0242681	+	0.0901248i
$718$	29.2108	−	5.15065i	1.09014	−	0.192221i
$719$	8.64970	+	23.7648i	0.322579	+	0.886279i	0.989933	+	0.141538i	$0.0452048\pi$
$719$	8.64970	+	23.7648i	0.322579	+	0.886279i	−0.667354	+	0.744741i	$0.732573\pi$
$720$	−2.30289	+	1.92269i	−0.0858235	+	0.0716543i
$721$		−	14.6765i		−	0.546583i
$722$	−18.0492	+	5.93522i	−0.671721	+	0.220886i
$723$	−52.4962	−	4.65811i	−1.95236	−	0.173237i
$724$	−10.7340	+	12.7923i	−0.398926	+	0.475421i
$725$	−2.46337	+	0.896594i	−0.0914873	+	0.0332986i
$726$	−7.65675	+	0.660360i	−0.284169	+	0.0245082i
$727$	−6.43701	+	36.5061i	−0.238735	+	1.35394i	0.595867	+	0.803083i	$0.296808\pi$
$727$	−6.43701	+	36.5061i	−0.238735	+	1.35394i	−0.834603	+	0.550853i	$0.814303\pi$
$728$	8.01938	−	22.0331i	0.297218	−	0.816599i
$729$	−0.199896	+	26.9993i	−0.00740356	+	0.999973i
$730$	8.24910	+	4.76262i	0.305313	+	0.176272i
$731$	−12.3079	−	14.6680i	−0.455225	−	0.542516i
$732$	−4.34003	−	6.21451i	−0.160412	−	0.229695i
$733$	−0.877075	+	1.51914i	−0.0323955	+	0.0561106i	−0.881769	−	0.471682i	$-0.843647\pi$
$733$	−0.877075	+	1.51914i	−0.0323955	+	0.0561106i	0.849373	+	0.527793i	$0.176980\pi$
$734$	−8.61509	−	14.9218i	−0.317989	−	0.550773i
$735$	17.5001	+	8.18672i	0.645500	+	0.301972i
$736$	4.17568	+	0.736286i	0.153918	+	0.0271398i
$737$	−2.86173	−	16.2297i	−0.105413	−	0.597827i
$738$	−31.7139	+	5.51136i	−1.16741	+	0.202876i
$739$	5.82184	+	4.88511i	0.214160	+	0.179702i	0.743557	−	0.668673i	$-0.233137\pi$
$739$	5.82184	+	4.88511i	0.214160	+	0.179702i	−0.529397	+	0.848374i	$0.677582\pi$
$740$	3.07414			0.113008
$741$	−37.9454	+	16.9187i	−1.39396	+	0.621525i
$742$	−50.2313			−1.84405
$743$	3.39843	+	2.85162i	0.124676	+	0.104616i	0.702994	−	0.711196i	$-0.251846\pi$
$743$	3.39843	+	2.85162i	0.124676	+	0.104616i	−0.578318	+	0.815812i	$0.696291\pi$
$744$	2.69271	−	0.717950i	0.0987196	−	0.0263213i
$745$	1.20411	+	6.82883i	0.0441151	+	0.250189i
$746$	−10.3989	−	1.83360i	−0.380730	−	0.0671330i
$747$	−8.55077	+	14.7263i	−0.312856	+	0.538808i
$748$	−8.93602	−	15.4776i	−0.326733	−	0.565919i
$749$	31.0641	−	53.8047i	1.13506	−	1.96598i
$750$	−1.42004	+	0.991712i	−0.0518524	+	0.0362122i
$751$	−2.63150	−	3.13610i	−0.0960247	−	0.114438i	0.715892	−	0.698211i	$-0.246020\pi$
$751$	−2.63150	−	3.13610i	−0.0960247	−	0.114438i	−0.811917	+	0.583773i	$0.801576\pi$
$752$	−6.04690	−	3.49118i	−0.220508	−	0.127310i
$753$	17.0724	+	36.7301i	0.622151	+	1.33852i
$754$	4.93391	−	13.5558i	0.179682	−	0.493673i
$755$	−2.46795	+	13.9965i	−0.0898180	+	0.509383i
$756$	22.0483	+	2.01125i	0.801890	+	0.0731484i
$757$	−47.0468	+	17.1237i	−1.70995	+	0.622370i	−0.996895	−	0.0787420i	$-0.974910\pi$
$757$	−47.0468	+	17.1237i	−1.70995	+	0.622370i	−0.713052	+	0.701112i	$0.752687\pi$
$758$	3.95250	−	4.71041i	0.143561	−	0.171090i
$759$	−1.66289	+	18.7406i	−0.0603593	+	0.680241i
$760$	0.824146	−	4.28028i	0.0298949	−	0.155262i
$761$		−	10.2961i		−	0.373233i	−0.982433	−	0.186616i	$-0.940248\pi$
$761$		−	10.2961i		−	0.373233i	0.982433	−	0.186616i	$-0.0597521\pi$
$762$	−7.58843	−	7.60718i	−0.274900	−	0.275579i
$763$	7.83493	+	21.5263i	0.283644	+	0.779305i
$764$	7.49246	−	1.32112i	0.271068	−	0.0477965i
$765$	−7.20660	+	19.6490i	−0.260555	+	0.710410i
$766$	12.2544	+	4.46022i	0.442768	+	0.161154i
$767$	34.7757	−	20.0777i	1.25568	−	0.724965i
$768$	1.41759	+	0.995214i	0.0511527	+	0.0359117i
$769$	3.77879	−	3.17078i	0.136267	−	0.114341i	−0.572107	−	0.820179i	$-0.693874\pi$
$769$	3.77879	−	3.17078i	0.136267	−	0.114341i	0.708373	+	0.705838i	$0.249429\pi$
$770$	−8.36175	+	7.01634i	−0.301337	+	0.252851i
$771$	4.40262	+	3.09085i	0.158557	+	0.111314i
$772$	−18.1461	+	10.4766i	−0.653092	+	0.377063i
$773$	−12.8199	−	4.66606i	−0.461100	−	0.167827i	0.101016	−	0.994885i	$-0.467791\pi$
$773$	−12.8199	−	4.66606i	−0.461100	−	0.167827i	−0.562116	+	0.827058i	$0.690013\pi$
$774$	−2.83530	+	7.73051i	−0.101913	+	0.277868i
$775$	1.58450	−	0.279391i	0.0569171	−	0.0100360i
$776$	−5.49506	−	15.0976i	−0.197261	−	0.541971i
$777$	−16.0223	−	16.0619i	−0.574798	−	0.576218i
$778$		−	25.2712i		−	0.906017i
$779$	30.6213	−	35.3519i	1.09712	−	1.26661i
$780$	0.842431	−	9.49409i	0.0301639	−	0.339943i
$781$	−8.49957	+	10.1294i	−0.304138	+	0.362458i
$782$	27.7962	−	10.1170i	0.993991	−	0.361783i
$783$	13.5652	+	1.23742i	0.484781	+	0.0442217i
$784$	1.93698	−	10.9851i	0.0691777	−	0.392326i
$785$	−4.14626	+	11.3917i	−0.147986	+	0.406589i
$786$	4.70729	+	10.1274i	0.167903	+	0.361233i
$787$	35.6473	+	20.5810i	1.27069	+	0.733632i	0.975117	−	0.221689i	$-0.0711569\pi$
$787$	35.6473	+	20.5810i	1.27069	+	0.733632i	0.295571	+	0.955321i	$0.404490\pi$
$788$	13.3818	+	15.9478i	0.476706	+	0.568116i
$789$	−40.6916	+	28.4178i	−1.44866	+	1.01170i
$790$	−4.61577	+	7.99475i	−0.164222	+	0.284440i
$791$	12.2746	+	21.2603i	0.436436	+	0.755930i
$792$	−3.85916	+	6.64632i	−0.137129	+	0.236167i
$793$	23.7167	+	4.18189i	0.842204	+	0.148503i
$794$	0.238904	+	1.35489i	0.00847837	+	0.0480832i
$795$	−19.7301	+	5.26057i	−0.699753	+	0.186573i
$796$	−1.58953	−	1.33377i	−0.0563394	−	0.0472744i
$797$	−34.5489			−1.22378			−0.611892	−	0.790941i	$-0.709591\pi$
$797$	−34.5489			−1.22378			−0.611892	+	0.790941i	$0.709591\pi$
$798$	−26.6593	+	18.0027i	−0.943728	+	0.637287i
$799$	−48.7109			−1.72327
$800$	0.766044	+	0.642788i	0.0270838	+	0.0227260i
$801$	−35.0979	+	6.09943i	−1.24012	+	0.215513i
$802$	5.72283	+	32.4558i	0.202080	+	1.14605i
$803$	24.0313	+	4.23737i	0.848046	+	0.149533i
$804$	10.0924	+	4.72133i	0.355931	+	0.166508i
$805$	−9.03315	−	15.6459i	−0.318377	−	0.551445i
$806$	−4.42698	+	7.66776i	−0.155934	+	0.270085i
$807$	−19.6051	−	28.0727i	−0.690133	−	0.988205i
$808$	0.652906	+	0.778103i	0.0229692	+	0.0273736i
$809$	45.2665	+	26.1346i	1.59148	+	0.918844i	0.993053	+	0.117669i	$0.0375423\pi$
$809$	45.2665	+	26.1346i	1.59148	+	0.918844i	0.598431	+	0.801174i	$0.295791\pi$
$810$	8.87088	−	1.51907i	0.311691	−	0.0533746i
$811$	8.28850	−	22.7725i	0.291049	−	0.799650i	−0.704865	−	0.709341i	$-0.748993\pi$
$811$	8.28850	−	22.7725i	0.291049	−	0.799650i	0.995914	−	0.0903084i	$-0.0287853\pi$
$812$	1.93958	−	10.9999i	0.0680659	−	0.386021i
$813$	20.2994	−	1.75073i	0.711932	−	0.0614009i
$814$	7.40047	−	2.69355i	0.259386	−	0.0944089i
$815$	3.97058	−	4.73195i	0.139083	−	0.165753i
$816$	12.0360	+	1.06798i	0.421344	+	0.0373868i
$817$	−3.91504	−	11.3051i	−0.136970	−	0.395515i
$818$		−	16.5144i		−	0.577412i
$819$	−53.9960	+	45.0814i	−1.88677	+	1.57527i
$820$	3.66979	+	10.0827i	0.128155	+	0.352102i
$821$	−19.1769	+	3.38141i	−0.669279	+	0.118012i	−0.497955	−	0.867203i	$-0.665916\pi$
$821$	−19.1769	+	3.38141i	−0.669279	+	0.118012i	−0.171324	+	0.985215i	$0.554804\pi$
$822$	−0.260838	+	0.968676i	−0.00909775	+	0.0337865i
$823$	11.7445	+	4.27464i	0.409387	+	0.149005i	0.538501	−	0.842625i	$-0.318991\pi$
$823$	11.7445	+	4.27464i	0.409387	+	0.149005i	−0.129114	+	0.991630i	$0.541213\pi$
$824$	−2.98306	+	1.72227i	−0.103920	+	0.0599980i
$825$	−2.54957	+	3.63161i	−0.0887645	+	0.126436i
$826$	23.8175	−	19.9853i	0.828717	−	0.695376i
$827$	11.4304	−	9.59121i	0.397472	−	0.333519i	−0.422043	−	0.906576i	$-0.638687\pi$
$827$	11.4304	−	9.59121i	0.397472	−	0.333519i	0.819516	+	0.573057i	$0.194243\pi$
$828$	−9.72411	−	8.20047i	−0.337936	−	0.284986i
$829$	−27.3276	+	15.7776i	−0.949127	+	0.547979i	−0.892810	−	0.450434i	$-0.851269\pi$
$829$	−27.3276	+	15.7776i	−0.949127	+	0.547979i	−0.0563172	+	0.998413i	$0.517936\pi$
$830$	5.33395	+	1.94140i	0.185144	+	0.0673869i
$831$	−10.4643	−	2.81775i	−0.363003	−	0.0977467i
$832$	−5.41935	+	0.955577i	−0.187882	+	0.0331287i
$833$	−26.6152	−	73.1246i	−0.922162	−	2.53362i
$834$	13.4088	−	13.3758i	0.464310	−	0.463166i
$835$		−	5.65475i		−	0.195691i
$836$	−1.76637	−	11.0262i	−0.0610913	−	0.381348i
$837$	−8.06740	−	2.19369i	−0.278850	−	0.0758252i
$838$	−2.23983	+	2.66933i	−0.0773737	+	0.0922104i
$839$	5.70922	−	2.07798i	0.197104	−	0.0717400i	−0.241582	−	0.970380i	$-0.577666\pi$
$839$	5.70922	−	2.07798i	0.197104	−	0.0717400i	0.438686	+	0.898640i	$0.355444\pi$
$840$	−0.634133	−	7.35266i	−0.0218797	−	0.253691i
$841$	−3.84247	+	21.7918i	−0.132499	+	0.751440i
$842$	5.77077	−	15.8551i	0.198874	−	0.546401i
$843$	24.1512	−	11.2256i	0.831810	−	0.386631i
$844$	13.2592	+	7.65520i	0.456401	+	0.263503i
$845$	11.1090	+	13.2391i	0.382160	+	0.455440i
$846$	10.4287	+	18.1665i	0.358547	+	0.624577i
$847$	9.45271	−	16.3726i	0.324799	−	0.562568i
$848$	5.89455	+	10.2097i	0.202420	+	0.350601i
$849$	11.2140	−	23.9712i	0.384863	−	0.822690i
$850$	6.87030	+	1.21142i	0.235649	+	0.0415513i
$851$	2.26344	+	12.8366i	0.0775898	+	0.440034i
$852$	−2.30320	−	8.63828i	−0.0789063	−	0.295942i
$853$	14.2109	+	11.9244i	0.486572	+	0.408282i	0.852796	−	0.522245i	$-0.174905\pi$
$853$	14.2109	+	11.9244i	0.486572	+	0.408282i	−0.366224	+	0.930527i	$0.619350\pi$
$854$	18.6466			0.638074
$855$	−8.58598	+	9.86311i	−0.293634	+	0.337311i
$856$	−14.5813			−0.498378
$857$	−33.3641	−	27.9958i	−1.13970	−	0.956319i	−0.140268	−	0.990114i	$-0.544796\pi$
$857$	−33.3641	−	27.9958i	−1.13970	−	0.956319i	−0.999429	+	0.0337947i	$0.989241\pi$
$858$	−6.29068	−	23.5935i	−0.214760	−	0.805470i
$859$	9.73352	+	55.2016i	0.332104	+	1.88345i	0.454145	+	0.890928i	$0.349945\pi$
$859$	9.73352	+	55.2016i	0.332104	+	1.88345i	−0.122041	+	0.992525i	$0.538944\pi$
$860$	2.70299	+	0.476610i	0.0921712	+	0.0162523i
$861$	33.5536	−	71.7248i	1.14350	−	2.44437i
$862$	16.5706	+	28.7011i	0.564396	+	0.977563i
$863$	3.45661	−	5.98702i	0.117664	−	0.203801i	−0.801177	−	0.598427i	$-0.795793\pi$
$863$	3.45661	−	5.98702i	0.117664	−	0.203801i	0.918842	+	0.394626i	$0.129126\pi$
$864$	−2.17854	−	4.71741i	−0.0741155	−	0.160490i
$865$	−11.9734	−	14.2693i	−0.407107	−	0.485171i
$866$	−11.9895	−	6.92212i	−0.407418	−	0.235223i
$867$	49.7409	−	23.1199i	1.68929	−	0.785193i
$868$	−2.34470	+	6.44201i	−0.0795843	+	0.218656i
$869$	−4.10671	+	23.2903i	−0.139311	+	0.790070i
$870$	−0.390150	−	4.52372i	−0.0132273	−	0.153368i
$871$	−33.2652	+	12.1075i	−1.12715	+	0.410248i
$872$	3.45587	−	4.11855i	0.117031	−	0.139472i
$873$	−8.48687	+	47.4464i	−0.287237	+	1.60582i
$874$	18.4799	+	0.289866i	0.625092	+	0.00980487i
$875$		−	4.26082i		−	0.144042i
$876$	−11.6804	+	11.6516i	−0.394643	+	0.393670i
$877$	18.0409	+	49.5671i	0.609199	+	1.67376i	0.731979	+	0.681327i	$0.238597\pi$
$877$	18.0409	+	49.5671i	0.609199	+	1.67376i	−0.122780	+	0.992434i	$0.539181\pi$
$878$	2.16811	−	0.382296i	0.0731701	−	0.0129019i
$879$	26.2828	+	7.07724i	0.886498	+	0.238709i
$880$	2.40733	+	0.876197i	0.0811511	+	0.0295366i
$881$	0.480859	−	0.277624i	0.0162005	−	0.00935339i	−0.491878	−	0.870664i	$-0.663689\pi$
$881$	0.480859	−	0.277624i	0.0162005	−	0.00935339i	0.508078	+	0.861311i	$0.330356\pi$
$882$	−21.5733	+	25.5816i	−0.726411	+	0.861377i
$883$	35.9742	−	30.1859i	1.21063	−	1.01584i	0.211367	−	0.977407i	$-0.432208\pi$
$883$	35.9742	−	30.1859i	1.21063	−	1.01584i	0.999261	−	0.0384310i	$-0.0122360\pi$
$884$	−29.4086	+	24.6767i	−0.989117	+	0.829968i
$885$	7.26215	−	10.3442i	0.244115	−	0.347718i
$886$	−11.9865	+	6.92041i	−0.402694	+	0.232496i
$887$	7.08771	+	2.57971i	0.237982	+	0.0866183i	0.458258	−	0.888819i	$-0.348474\pi$
$887$	7.08771	+	2.57971i	0.237982	+	0.0866183i	−0.220276	+	0.975438i	$0.570696\pi$
$888$	−1.38444	+	5.14143i	−0.0464589	+	0.172535i
$889$	26.0308	−	4.58993i	0.873045	−	0.153941i
$890$	4.06137	+	11.1585i	0.136137	+	0.374034i
$891$	20.0241	−	11.4295i	0.670834	−	0.382904i
$892$		−	2.83483i		−	0.0949170i
$893$	−28.4331	−	10.8568i	−0.951479	−	0.363309i
$894$	−11.9633	−	1.06153i	−0.400114	−	0.0355030i
$895$	−10.2311	+	12.1930i	−0.341988	+	0.407566i
$896$	−4.00386	+	1.45729i	−0.133760	+	0.0486845i
$897$	40.2646	−	3.47263i	1.34439	−	0.115948i
$898$	−2.62564	+	14.8908i	−0.0876189	+	0.496911i
$899$	−1.44257	+	3.96344i	−0.0481125	+	0.132188i
$900$	−1.01910	−	2.82160i	−0.0339700	−	0.0940534i
$901$	71.2255	+	41.1221i	2.37287	+	1.36997i
$902$	17.6688	+	21.0569i	0.588307	+	0.701117i
$903$	−11.5977	−	16.6068i	−0.385947	−	0.552640i
$904$	2.88082	−	4.98972i	0.0958146	−	0.165956i
$905$	−8.34957	−	14.4619i	−0.277549	−	0.480729i
$906$	−22.2973	−	10.4309i	−0.740779	−	0.346545i
$907$	−17.7007	−	3.12112i	−0.587744	−	0.103635i	−0.128135	−	0.991757i	$-0.540899\pi$
$907$	−17.7007	−	3.12112i	−0.587744	−	0.103635i	−0.459608	+	0.888122i	$0.652010\pi$
$908$	1.16804	+	6.62431i	0.0387629	+	0.219835i
$909$	−0.521738	−	3.00223i	−0.0173049	−	0.0995776i
$910$	17.9615	+	15.0715i	0.595418	+	0.499615i
$911$	42.6597			1.41338			0.706690	−	0.707524i	$-0.250188\pi$
$911$	42.6597			1.41338			0.706690	+	0.707524i	$0.250188\pi$
$912$	6.78752	+	3.30600i	0.224757	+	0.109473i
$913$	14.5416			0.481257
$914$	24.8818	+	20.8783i	0.823015	+	0.690592i
$915$	7.32410	−	1.95280i	0.242127	−	0.0645577i
$916$	−4.26763	−	24.2029i	−0.141006	−	0.799687i
$917$	−27.0556	−	4.77064i	−0.893456	−	0.157540i
$918$	−29.6170	−	20.9018i	−0.977505	−	0.689863i
$919$	24.9464	+	43.2085i	0.822907	+	1.42532i	0.903509	+	0.428570i	$0.140982\pi$
$919$	24.9464	+	43.2085i	0.822907	+	1.42532i	−0.0806022	+	0.996746i	$0.525684\pi$
$920$	−2.12005	+	3.67203i	−0.0698960	+	0.121063i
$921$	−15.5543	+	10.8626i	−0.512530	+	0.357936i
$922$	6.46990	+	7.71053i	0.213075	+	0.253933i
$923$	24.5983	+	14.2019i	0.809664	+	0.467460i
$924$	−7.96895	−	17.1447i	−0.262159	−	0.564018i
$925$	−1.05142	+	2.88874i	−0.0345704	+	0.0949813i
$926$	−4.38165	+	24.8496i	−0.143990	+	0.816607i
$927$	10.3336	+	0.0255020i	0.339399	+	0.000837597i
$928$	−2.46337	+	0.896594i	−0.0808641	+	0.0294321i
$929$	22.0914	−	26.3275i	0.724794	−	0.863776i	−0.270293	−	0.962778i	$-0.587121\pi$
$929$	22.0914	−	26.3275i	0.724794	−	0.863776i	0.995087	+	0.0990020i	$0.0315650\pi$
$930$	−0.246309	+	2.77587i	−0.00807680	+	0.0910245i
$931$	0.762562	−	48.6158i	0.0249920	−	1.59332i
$932$			25.9173i			0.848951i
$933$	−33.5478	−	33.6307i	−1.09831	−	1.10102i
$934$	3.47390	+	9.54446i	0.113669	+	0.312304i
$935$	17.6005	−	3.10345i	0.575599	−	0.101494i
$936$	15.4993	+	5.68463i	0.506609	+	0.185808i
$937$	−20.4847	−	7.45583i	−0.669207	−	0.243571i	−0.0150004	−	0.999887i	$-0.504775\pi$
$937$	−20.4847	−	7.45583i	−0.669207	−	0.243571i	−0.654206	+	0.756316i	$0.726997\pi$
$938$	−23.7373	+	13.7048i	−0.775052	+	0.447476i
$939$	−31.6673	−	22.2320i	−1.03342	−	0.725513i
$940$	5.34880	−	4.48817i	0.174459	−	0.146388i
$941$	−23.3770	+	19.6156i	−0.762068	+	0.639451i	−0.938664	−	0.344833i	$-0.887936\pi$
$941$	−23.3770	+	19.6156i	−0.762068	+	0.639451i	0.176597	+	0.984283i	$0.443491\pi$
$942$	−17.1852	−	12.0648i	−0.559923	−	0.393093i
$943$	−39.4000	+	22.7476i	−1.28304	+	0.740764i
$944$	−6.85701	−	2.49575i	−0.223177	−	0.0812297i
$945$	−9.43093	+	20.0308i	−0.306788	+	0.651601i
$946$	6.92459	−	1.22099i	0.225138	−	0.0396979i
$947$	−18.2627	−	50.1765i	−0.593459	−	1.63052i	−0.764038	−	0.645172i	$-0.776786\pi$
$947$	−18.2627	−	50.1765i	−0.593459	−	1.63052i	0.170578	−	0.985344i	$-0.445436\pi$
$948$	−11.2923	−	11.3202i	−0.366757	−	0.367664i
$949$		−	52.4169i		−	1.70152i
$950$	3.74027	+	2.23839i	0.121350	+	0.0726228i
$951$	−4.51544	+	50.8884i	−0.146423	+	1.65017i
$952$	−19.1067	+	22.7704i	−0.619251	+	0.737994i
$953$	−50.0016	+	18.1991i	−1.61971	+	0.589527i	−0.983327	−	0.181845i	$-0.941793\pi$
$953$	−50.0016	+	18.1991i	−1.61971	+	0.589527i	−0.636385	+	0.771372i	$0.719571\pi$
$954$	0.0872821	−	35.3672i	0.00282586	−	1.14506i
$955$	−1.32112	+	7.49246i	−0.0427505	+	0.242450i
$956$	−0.493509	+	1.35591i	−0.0159612	+	0.0438531i
$957$	−4.90288	−	10.5482i	−0.158488	−	0.340976i
$958$	−6.98123	−	4.03062i	−0.225553	−	0.130223i
$959$	−1.58628	−	1.89045i	−0.0512235	−	0.0610458i
$960$	−1.42004	+	0.991712i	−0.0458315	+	0.0320074i
$961$	−14.2056	+	24.6049i	−0.458247	+	0.793706i
$962$	−8.45841	−	14.6504i	−0.272710	−	0.472348i
$963$	37.8292	+	21.9654i	1.21903	+	0.707824i
$964$	−29.9655	−	5.28373i	−0.965125	−	0.170178i
$965$	−3.63850	−	20.6350i	−0.117128	−	0.664263i
$966$	30.2355	−	8.06160i	0.972811	−	0.259378i
$967$	−37.4785	−	31.4482i	−1.20523	−	1.01131i	−0.999465	−	0.0327052i	$-0.989588\pi$
$967$	−37.4785	−	31.4482i	−1.20523	−	1.01131i	−0.205764	−	0.978602i	$-0.565968\pi$
$968$	−4.43704			−0.142612
$969$	52.5395	−	3.70218i	1.68781	−	0.118931i
$970$	16.0665			0.515864
$971$	−22.7886	−	19.1219i	−0.731321	−	0.613651i	0.199171	−	0.979965i	$-0.436175\pi$
$971$	−22.7886	−	19.1219i	−0.731321	−	0.613651i	−0.930491	+	0.366314i	$0.880620\pi$
$972$	−1.45441	+	15.5205i	−0.0466501	+	0.497819i
$973$	8.09047	+	45.8833i	0.259369	+	1.47095i
$974$	−22.9494	−	4.04660i	−0.735347	−	0.129662i
$975$	8.63340	+	4.03880i	0.276490	+	0.129345i
$976$	−2.18815	−	3.78998i	−0.0700409	−	0.121314i
$977$	0.722036	−	1.25060i	0.0231000	−	0.0400103i	−0.854244	−	0.519872i	$-0.825980\pi$
$977$	0.722036	−	1.25060i	0.0231000	−	0.0400103i	0.877344	+	0.479861i	$0.159313\pi$
$978$	6.12593	+	8.77175i	0.195886	+	0.280490i
$979$	19.5541	+	23.3037i	0.624952	+	0.744789i
$980$	9.66016	+	5.57730i	0.308583	+	0.178160i
$981$	−15.1700	+	5.47908i	−0.484341	+	0.174933i
$982$	−5.33075	+	14.6461i	−0.170111	+	0.467376i
$983$	3.65006	−	20.7005i	0.116419	−	0.660245i	−0.869619	−	0.493724i	$-0.835635\pi$
$983$	3.65006	−	20.7005i	0.116419	−	0.660245i	0.986038	−	0.166521i	$-0.0532534\pi$
$984$	−18.5157	+	1.59690i	−0.590260	+	0.0509073i
$985$	−19.5628	+	7.12029i	−0.623324	+	0.226871i
$986$	−11.7553	+	14.0095i	−0.374367	+	0.446153i
$987$	−51.3279	−	4.55443i	−1.63378	−	0.144969i
$988$	−22.6661	+	7.84945i	−0.721105	+	0.249724i
$989$			11.6377i			0.370059i
$990$	−4.92559	−	5.89960i	−0.156546	−	0.187501i
$991$	1.78199	+	4.89598i	0.0566068	+	0.155526i	0.964773	−	0.263084i	$-0.0847397\pi$
$991$	1.78199	+	4.89598i	0.0566068	+	0.155526i	−0.908166	+	0.418610i	$0.862517\pi$
$992$	1.58450	−	0.279391i	0.0503081	−	0.00887067i
$993$	−3.06946	+	11.3991i	−0.0974064	+	0.361740i
$994$	20.6661	+	7.52184i	0.655489	+	0.238578i
$995$	1.79699	−	1.03749i	0.0569684	−	0.0328907i
$996$	−5.64910	+	8.04660i	−0.178999	+	0.254966i
$997$	−2.65801	+	2.23034i	−0.0841800	+	0.0706354i	−0.683907	−	0.729570i	$-0.739720\pi$
$997$	−2.65801	+	2.23034i	−0.0841800	+	0.0706354i	0.599727	+	0.800205i	$0.295276\pi$
$998$	−8.83065	+	7.40979i	−0.279529	+	0.234553i
$999$	11.3368	−	11.2532i	0.358682	−	0.356036i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	570.2.bb.b.41.8	yes	84
3.2	odd	2		570.2.bb.a.41.10	✓	84
19.13	odd	18		570.2.bb.a.431.10	yes	84
57.32	even	18	inner	570.2.bb.b.431.8	yes	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
570.2.bb.a.41.10	✓	84	3.2	odd	2
570.2.bb.a.431.10	yes	84	19.13	odd	18
570.2.bb.b.41.8	yes	84	1.1	even	1	trivial
570.2.bb.b.431.8	yes	84	57.32	even	18	inner

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:	\( N \)	\(=\)	\( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	570.bb (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.766044 - 0.642788i) q^{2} +(0.446223 + 1.67358i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.984808 - 0.173648i) q^{5} +(0.733933 - 1.56887i) q^{6} +(2.13041 + 3.68998i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-2.60177 + 1.49358i) q^{9} +O(q^{10})\)	\(q+(-0.766044 - 0.642788i) q^{2} +(0.446223 + 1.67358i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.984808 - 0.173648i) q^{5} +(0.733933 - 1.56887i) q^{6} +(2.13041 + 3.68998i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-2.60177 + 1.49358i) q^{9} +(0.642788 + 0.766044i) q^{10} +(2.21861 + 1.28091i) q^{11} +(-1.57067 + 0.730059i) q^{12} +(1.88212 - 5.17108i) q^{13} +(0.739884 - 4.19609i) q^{14} +(-0.148829 - 1.72564i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-4.48427 + 5.34414i) q^{17} +(2.95313 + 0.528234i) q^{18} +(-3.80863 + 2.11998i) q^{19} -1.00000i q^{20} +(-5.22485 + 5.21198i) q^{21} +(-0.876197 - 2.40733i) q^{22} +(4.17568 - 0.736286i) q^{23} +(1.67248 + 0.450352i) q^{24} +(0.939693 + 0.342020i) q^{25} +(-4.76570 + 2.75148i) q^{26} +(-3.66061 - 3.68781i) q^{27} +(-3.26398 + 2.73880i) q^{28} +(-2.00816 + 1.68504i) q^{29} +(-0.995214 + 1.41759i) q^{30} +(1.39339 - 0.804474i) q^{31} +(0.939693 + 0.342020i) q^{32} +(-1.15372 + 4.28460i) q^{33} +(6.87030 - 1.21142i) q^{34} +(-1.45729 - 4.00386i) q^{35} +(-1.92269 - 2.30289i) q^{36} +3.07414i q^{37} +(4.28028 + 0.824146i) q^{38} +(9.49409 + 0.842431i) q^{39} +(-0.642788 + 0.766044i) q^{40} +(-10.0827 + 3.66979i) q^{41} +(7.35266 - 0.634133i) q^{42} +(-0.476610 + 2.70299i) q^{43} +(-0.876197 + 2.40733i) q^{44} +(2.82160 - 1.01910i) q^{45} +(-3.67203 - 2.12005i) q^{46} +(4.48817 + 5.34880i) q^{47} +(-0.991712 - 1.42004i) q^{48} +(-5.57730 + 9.66016i) q^{49} +(-0.500000 - 0.866025i) q^{50} +(-10.9449 - 5.12012i) q^{51} +(5.41935 + 0.955577i) q^{52} +(-2.04716 - 11.6100i) q^{53} +(0.433709 + 5.17802i) q^{54} +(-1.96247 - 1.64671i) q^{55} +4.26082 q^{56} +(-5.24746 - 5.42809i) q^{57} +2.62146 q^{58} +(5.58989 + 4.69047i) q^{59} +(1.67358 - 0.446223i) q^{60} +(0.759936 + 4.30981i) q^{61} +(-1.58450 - 0.279391i) q^{62} +(-11.0541 - 6.41853i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-2.75148 + 4.76570i) q^{65} +(3.63789 - 2.54060i) q^{66} +(-4.13500 - 4.92790i) q^{67} +(-6.04164 - 3.48814i) q^{68} +(3.09552 + 6.65981i) q^{69} +(-1.45729 + 4.00386i) q^{70} +(-0.896292 + 5.08313i) q^{71} +(-0.00740362 + 2.99999i) q^{72} +(8.95079 - 3.25782i) q^{73} +(1.97602 - 2.35493i) q^{74} +(-0.153087 + 1.72527i) q^{75} +(-2.74913 - 3.38264i) q^{76} +10.9155i q^{77} +(-6.73139 - 6.74802i) q^{78} +(3.15737 + 8.67481i) q^{79} +(0.984808 - 0.173648i) q^{80} +(4.53842 - 7.77192i) q^{81} +(10.0827 + 3.66979i) q^{82} +(4.91579 - 2.83813i) q^{83} +(-6.04008 - 4.24043i) q^{84} +(5.34414 - 4.48427i) q^{85} +(2.10255 - 1.76425i) q^{86} +(-3.71615 - 2.60892i) q^{87} +(2.21861 - 1.28091i) q^{88} +(11.1585 + 4.06137i) q^{89} +(-2.81654 - 1.03301i) q^{90} +(23.0909 - 4.07154i) q^{91} +(1.45020 + 3.98439i) q^{92} +(1.96812 + 1.97298i) q^{93} -6.98236i q^{94} +(4.11890 - 1.42641i) q^{95} +(-0.153087 + 1.72527i) q^{96} +(10.3273 - 12.3076i) q^{97} +(10.4819 - 3.81510i) q^{98} +(-7.68546 - 0.0189668i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q - 6 q^{6} + 42 q^{8}+O(q^{10}) \) 84 * q - 6 * q^6 + 42 * q^8	\( 84 q - 6 q^{6} + 42 q^{8} + 24 q^{13} - 24 q^{14} + 12 q^{17} - 12 q^{19} + 36 q^{22} + 24 q^{27} - 12 q^{28} - 12 q^{29} + 36 q^{33} + 12 q^{34} + 6 q^{36} + 18 q^{38} + 12 q^{39} + 6 q^{41} + 24 q^{43} + 36 q^{44} + 12 q^{47} - 12 q^{48} - 54 q^{49} - 42 q^{50} + 96 q^{51} + 12 q^{52} - 60 q^{53} - 18 q^{54} - 96 q^{57} - 24 q^{58} - 18 q^{59} - 48 q^{61} - 12 q^{62} - 114 q^{63} - 42 q^{64} - 24 q^{66} + 6 q^{67} - 54 q^{68} - 48 q^{69} + 48 q^{71} + 84 q^{73} + 24 q^{74} - 12 q^{79} - 36 q^{81} - 6 q^{82} + 36 q^{83} + 18 q^{84} + 12 q^{86} + 6 q^{87} - 12 q^{89} - 24 q^{90} + 24 q^{91} - 6 q^{93} - 12 q^{95} - 42 q^{97} + 36 q^{98} - 6 q^{99}+O(q^{100}) \) 84 * q - 6 * q^6 + 42 * q^8 + 24 * q^13 - 24 * q^14 + 12 * q^17 - 12 * q^19 + 36 * q^22 + 24 * q^27 - 12 * q^28 - 12 * q^29 + 36 * q^33 + 12 * q^34 + 6 * q^36 + 18 * q^38 + 12 * q^39 + 6 * q^41 + 24 * q^43 + 36 * q^44 + 12 * q^47 - 12 * q^48 - 54 * q^49 - 42 * q^50 + 96 * q^51 + 12 * q^52 - 60 * q^53 - 18 * q^54 - 96 * q^57 - 24 * q^58 - 18 * q^59 - 48 * q^61 - 12 * q^62 - 114 * q^63 - 42 * q^64 - 24 * q^66 + 6 * q^67 - 54 * q^68 - 48 * q^69 + 48 * q^71 + 84 * q^73 + 24 * q^74 - 12 * q^79 - 36 * q^81 - 6 * q^82 + 36 * q^83 + 18 * q^84 + 12 * q^86 + 6 * q^87 - 12 * q^89 - 24 * q^90 + 24 * q^91 - 6 * q^93 - 12 * q^95 - 42 * q^97 + 36 * q^98 - 6 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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