LMFDB - Embedded newform 230.2.j.a.179.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [230,2,Mod(9,230)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(230, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 10]))

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

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

chi := DirichletCharacter("230.9");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 230 = 2 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	230.j (of order $22$, degree $10$, 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:	$1.83655924649$
Analytic rank:	$0$
Dimension:	$120$
Relative dimension:	$12$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			179.6
Character	$\chi$	$=$	230.179
Dual form			230.2.j.a.9.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.281733 + 0.959493i) q^{2} +(2.36951 + 2.05319i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(1.30136 - 1.81837i) q^{5} +(-2.63759 + 1.69508i) q^{6} +(-1.55660 + 0.710876i) q^{7} +(0.755750 - 0.654861i) q^{8} +(0.972037 + 6.76066i) q^{9} +O(q^{10})$	\(q+(-0.281733 + 0.959493i) q^{2} +(2.36951 + 2.05319i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(1.30136 - 1.81837i) q^{5} +(-2.63759 + 1.69508i) q^{6} +(-1.55660 + 0.710876i) q^{7} +(0.755750 - 0.654861i) q^{8} +(0.972037 + 6.76066i) q^{9} +(1.37808 + 1.76094i) q^{10} +(-0.297817 + 0.0874469i) q^{11} +(-0.883320 - 3.00831i) q^{12} +(2.61029 + 1.19208i) q^{13} +(-0.243535 - 1.69382i) q^{14} +(6.81705 - 1.63671i) q^{15} +(0.415415 + 0.909632i) q^{16} +(-2.98994 - 4.65244i) q^{17} +(-6.76066 - 0.972037i) q^{18} +(-3.72280 - 2.39250i) q^{19} +(-2.07786 + 0.826143i) q^{20} +(-5.14795 - 1.51157i) q^{21} -0.310390i q^{22} +(-0.555747 + 4.76352i) q^{23} +3.13531 q^{24} +(-1.61294 - 4.73270i) q^{25} +(-1.87919 + 2.16871i) q^{26} +(-6.49246 + 10.1025i) q^{27} +(1.69382 + 0.243535i) q^{28} +(7.45852 - 4.79330i) q^{29} +(-0.350174 + 7.00202i) q^{30} +(-5.47258 - 6.31570i) q^{31} +(-0.989821 + 0.142315i) q^{32} +(-0.885225 - 0.404269i) q^{33} +(5.30635 - 1.55809i) q^{34} +(-0.733060 + 3.75558i) q^{35} +(2.83736 - 6.21295i) q^{36} +(5.64261 - 0.811285i) q^{37} +(3.34442 - 2.89796i) q^{38} +(3.73754 + 8.18407i) q^{39} +(-0.207278 - 2.22644i) q^{40} +(-0.124980 + 0.869253i) q^{41} +(2.90069 - 4.51356i) q^{42} +(-3.72558 - 3.22823i) q^{43} +(0.297817 + 0.0874469i) q^{44} +(13.5584 + 7.03052i) q^{45} +(-4.41399 - 1.87528i) q^{46} +10.0105i q^{47} +(-0.883320 + 3.00831i) q^{48} +(-2.66636 + 3.07715i) q^{49} +(4.99541 - 0.214245i) q^{50} +(2.46766 - 17.1630i) q^{51} +(-1.55143 - 2.41407i) q^{52} +(3.19855 - 1.46073i) q^{53} +(-7.86411 - 9.07566i) q^{54} +(-0.228555 + 0.655340i) q^{55} +(-0.710876 + 1.55660i) q^{56} +(-3.90896 - 13.3127i) q^{57} +(2.49783 + 8.50682i) q^{58} +(2.22335 - 4.86845i) q^{59} +(-6.61973 - 2.30869i) q^{60} +(-3.37456 - 3.89445i) q^{61} +(7.60167 - 3.47157i) q^{62} +(-6.31907 - 9.83266i) q^{63} +(0.142315 - 0.989821i) q^{64} +(5.56456 - 3.19515i) q^{65} +(0.637290 - 0.735472i) q^{66} +(0.478081 - 1.62819i) q^{67} +5.53037i q^{68} +(-11.0973 + 10.1462i) q^{69} +(-3.39693 - 1.76144i) q^{70} +(7.87988 + 2.31374i) q^{71} +(5.16191 + 4.47282i) q^{72} +(-1.64086 + 2.55323i) q^{73} +(-0.811285 + 5.64261i) q^{74} +(5.89528 - 14.5259i) q^{75} +(1.83834 + 4.02540i) q^{76} +(0.401418 - 0.347831i) q^{77} +(-8.90555 + 1.28042i) q^{78} +(-3.42080 + 7.49052i) q^{79} +(2.19465 + 0.428379i) q^{80} +(-16.4657 + 4.83477i) q^{81} +(-0.798832 - 0.364814i) q^{82} +(0.701218 - 0.100820i) q^{83} +(3.51351 + 4.05481i) q^{84} +(-12.3508 - 0.617671i) q^{85} +(4.14709 - 2.66517i) q^{86} +(27.5146 + 3.95600i) q^{87} +(-0.167809 + 0.261116i) q^{88} +(6.06502 - 6.99941i) q^{89} +(-10.5656 + 11.0284i) q^{90} -4.91060 q^{91} +(3.04288 - 3.70687i) q^{92} -26.2014i q^{93} +(-9.60505 - 2.82030i) q^{94} +(-9.19515 + 3.65593i) q^{95} +(-2.63759 - 1.69508i) q^{96} +(-17.0747 - 2.45497i) q^{97} +(-2.20130 - 3.42529i) q^{98} +(-0.880687 - 1.92844i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) $ 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9	$ 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) $ 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9 + 8 * q^11 - 6 * q^15 - 12 * q^16 - 16 * q^19 - 22 * q^20 + 4 * q^24 - 52 * q^25 - 4 * q^26 - 8 * q^29 - 44 * q^30 + 12 * q^31 + 16 * q^35 - 8 * q^36 - 36 * q^39 - 28 * q^41 - 8 * q^44 + 16 * q^45 - 4 * q^46 - 58 * q^49 + 12 * q^50 - 24 * q^51 - 6 * q^54 - 36 * q^55 + 22 * q^56 - 102 * q^59 - 38 * q^60 + 72 * q^61 + 12 * q^64 - 138 * q^65 + 80 * q^66 - 212 * q^69 - 108 * q^70 + 176 * q^71 - 88 * q^74 - 100 * q^75 + 16 * q^76 - 104 * q^79 - 22 * q^80 - 28 * q^81 - 22 * q^84 + 2 * q^85 + 62 * q^86 + 48 * q^89 + 24 * q^90 - 56 * q^91 + 24 * q^94 + 18 * q^95 - 4 * q^96 + 188 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$-1$	$e\left(\frac{6}{11}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.281733	+	0.959493i	−0.199215	+	0.678464i
$2$	−0.281733	+	0.959493i	−0.199215	+	0.678464i
$3$	2.36951	+	2.05319i	1.36804	+	1.18541i	0.962483	+	0.271341i	$0.0874670\pi$
$3$	2.36951	+	2.05319i	1.36804	+	1.18541i	0.405554	+	0.914071i	$0.367078\pi$
$4$	−0.841254	−	0.540641i	−0.420627	−	0.270320i
$5$	1.30136	−	1.81837i	0.581985	−	0.813200i
$5$	1.30136	−	1.81837i	0.581985	−	0.813200i
$6$	−2.63759	+	1.69508i	−1.07679	+	0.692013i
$7$	−1.55660	+	0.710876i	−0.588340	+	0.268686i	−0.687262	−	0.726409i	$-0.741188\pi$
$7$	−1.55660	+	0.710876i	−0.588340	+	0.268686i	0.0989224	+	0.995095i	$0.468460\pi$
$8$	0.755750	−	0.654861i	0.267198	−	0.231528i
$9$	0.972037	+	6.76066i	0.324012	+	2.25355i
$10$	1.37808	+	1.76094i	0.435786	+	0.556857i
$11$	−0.297817	+	0.0874469i	−0.0897951	+	0.0263662i	−0.326321	−	0.945259i	$-0.605809\pi$
$11$	−0.297817	+	0.0874469i	−0.0897951	+	0.0263662i	0.236526	+	0.971625i	$0.423991\pi$
$12$	−0.883320	−	3.00831i	−0.254992	−	0.868424i
$13$	2.61029	+	1.19208i	0.723964	+	0.330623i	0.743088	−	0.669194i	$-0.233360\pi$
$13$	2.61029	+	1.19208i	0.723964	+	0.330623i	−0.0191239	+	0.999817i	$0.506088\pi$
$14$	−0.243535	−	1.69382i	−0.0650875	−	0.452694i
$15$	6.81705	−	1.63671i	1.76015	−	0.422596i
$16$	0.415415	+	0.909632i	0.103854	+	0.227408i
$17$	−2.98994	−	4.65244i	−0.725168	−	1.12838i	−0.986599	−	0.163161i	$-0.947831\pi$
$17$	−2.98994	−	4.65244i	−0.725168	−	1.12838i	0.261431	−	0.965222i	$-0.415805\pi$
$18$	−6.76066	−	0.972037i	−1.59350	−	0.229111i
$19$	−3.72280	−	2.39250i	−0.854070	−	0.548877i	0.0387719	−	0.999248i	$-0.487655\pi$
$19$	−3.72280	−	2.39250i	−0.854070	−	0.548877i	−0.892842	+	0.450371i	$0.851292\pi$
$20$	−2.07786	+	0.826143i	−0.464623	+	0.184731i
$21$	−5.14795	−	1.51157i	−1.12337	−	0.329853i
$22$		−	0.310390i		−	0.0661753i
$23$	−0.555747	+	4.76352i	−0.115881	+	0.993263i
$23$	−0.555747	+	4.76352i	−0.115881	+	0.993263i
$24$	3.13531			0.639993
$25$	−1.61294	−	4.73270i	−0.322587	−	0.946540i
$26$	−1.87919	+	2.16871i	−0.368540	+	0.425318i
$27$	−6.49246	+	10.1025i	−1.24947	+	1.94422i
$28$	1.69382	+	0.243535i	0.320103	+	0.0460238i
$29$	7.45852	−	4.79330i	1.38501	−	0.890093i	0.385543	−	0.922690i	$-0.374014\pi$
$29$	7.45852	−	4.79330i	1.38501	−	0.890093i	0.999469	+	0.0325968i	$0.0103777\pi$
$30$	−0.350174	+	7.00202i	−0.0639328	+	1.27839i
$31$	−5.47258	−	6.31570i	−0.982905	−	1.13433i	−0.990932	−	0.134365i	$-0.957100\pi$
$31$	−5.47258	−	6.31570i	−0.982905	−	1.13433i	0.00802676	−	0.999968i	$-0.497445\pi$
$32$	−0.989821	+	0.142315i	−0.174977	+	0.0251579i
$33$	−0.885225	−	0.404269i	−0.154098	−	0.0703742i
$34$	5.30635	−	1.55809i	0.910032	−	0.267209i
$35$	−0.733060	+	3.75558i	−0.123910	+	0.634809i
$36$	2.83736	−	6.21295i	0.472894	−	1.03549i
$37$	5.64261	−	0.811285i	0.927640	−	0.133374i	0.338097	−	0.941111i	$-0.390217\pi$
$37$	5.64261	−	0.811285i	0.927640	−	0.133374i	0.589543	+	0.807737i	$0.299308\pi$
$38$	3.34442	−	2.89796i	0.542537	−	0.470111i
$39$	3.73754	+	8.18407i	0.598485	+	1.31050i
$40$	−0.207278	−	2.22644i	−0.0327735	−	0.352031i
$41$	−0.124980	+	0.869253i	−0.0195186	+	0.135755i	−0.997251	−	0.0741025i	$-0.976391\pi$
$41$	−0.124980	+	0.869253i	−0.0195186	+	0.135755i	0.977732	+	0.209857i	$0.0672999\pi$
$42$	2.90069	−	4.51356i	0.447586	−	0.696458i
$43$	−3.72558	−	3.22823i	−0.568146	−	0.492301i	0.322765	−	0.946479i	$-0.395388\pi$
$43$	−3.72558	−	3.22823i	−0.568146	−	0.492301i	−0.890911	+	0.454178i	$0.849933\pi$
$44$	0.297817	+	0.0874469i	0.0448975	+	0.0131831i
$45$	13.5584	+	7.03052i	2.02116	+	1.04805i
$46$	−4.41399	−	1.87528i	−0.650808	−	0.276494i
$47$			10.0105i			1.46019i	0.683347	+	0.730094i	$0.260524\pi$
$47$			10.0105i			1.46019i	−0.683347	+	0.730094i	$0.739476\pi$
$48$	−0.883320	+	3.00831i	−0.127496	+	0.434212i
$49$	−2.66636	+	3.07715i	−0.380909	+	0.439592i
$50$	4.99541	−	0.214245i	0.706457	−	0.0302988i
$51$	2.46766	−	17.1630i	0.345541	−	2.40329i
$52$	−1.55143	−	2.41407i	−0.215144	−	0.334771i
$53$	3.19855	−	1.46073i	0.439355	−	0.200647i	−0.183441	−	0.983031i	$-0.558724\pi$
$53$	3.19855	−	1.46073i	0.439355	−	0.200647i	0.622796	+	0.782384i	$0.285997\pi$
$54$	−7.86411	−	9.07566i	−1.07017	−	1.23504i
$55$	−0.228555	+	0.655340i	−0.0308184	+	0.0883661i
$56$	−0.710876	+	1.55660i	−0.0949948	+	0.208010i
$57$	−3.90896	−	13.3127i	−0.517754	−	1.76331i
$58$	2.49783	+	8.50682i	0.327981	+	1.11700i
$59$	2.22335	−	4.86845i	0.289455	−	0.633819i	−0.707915	−	0.706298i	$-0.750364\pi$
$59$	2.22335	−	4.86845i	0.289455	−	0.633819i	0.997370	+	0.0724793i	$0.0230911\pi$
$60$	−6.61973	−	2.30869i	−0.854604	−	0.298050i
$61$	−3.37456	−	3.89445i	−0.432068	−	0.498633i	0.497407	−	0.867517i	$-0.334285\pi$
$61$	−3.37456	−	3.89445i	−0.432068	−	0.498633i	−0.929475	+	0.368884i	$0.879740\pi$
$62$	7.60167	−	3.47157i	0.965414	−	0.440890i
$63$	−6.31907	−	9.83266i	−0.796127	−	1.23880i
$64$	0.142315	−	0.989821i	0.0177894	−	0.123728i
$65$	5.56456	−	3.19515i	0.690199	−	0.396309i
$66$	0.637290	−	0.735472i	0.0784449	−	0.0905303i
$67$	0.478081	−	1.62819i	0.0584069	−	0.198916i	−0.925121	−	0.379673i	$-0.876037\pi$
$67$	0.478081	−	1.62819i	0.0584069	−	0.198916i	0.983528	+	0.180757i	$0.0578548\pi$
$68$			5.53037i			0.670656i
$69$	−11.0973	+	10.1462i	−1.33596	+	1.22145i
$70$	−3.39693	−	1.76144i	−0.406010	−	0.210532i
$71$	7.87988	+	2.31374i	0.935170	+	0.274591i	0.713600	−	0.700554i	$-0.247064\pi$
$71$	7.87988	+	2.31374i	0.935170	+	0.274591i	0.221570	+	0.975144i	$0.428882\pi$
$72$	5.16191	+	4.47282i	0.608337	+	0.527127i
$73$	−1.64086	+	2.55323i	−0.192048	+	0.298833i	−0.923902	−	0.382628i	$-0.875019\pi$
$73$	−1.64086	+	2.55323i	−0.192048	+	0.298833i	0.731854	+	0.681462i	$0.238655\pi$
$74$	−0.811285	+	5.64261i	−0.0943100	+	0.655940i
$75$	5.89528	−	14.5259i	0.680728	−	1.67730i
$76$	1.83834	+	4.02540i	0.210872	+	0.461745i
$77$	0.401418	−	0.347831i	0.0457458	−	0.0396390i
$78$	−8.90555	+	1.28042i	−1.00835	+	0.144980i
$79$	−3.42080	+	7.49052i	−0.384871	+	0.842749i	0.613712	+	0.789530i	$0.289675\pi$
$79$	−3.42080	+	7.49052i	−0.384871	+	0.842749i	−0.998583	+	0.0532193i	$0.983052\pi$
$80$	2.19465	+	0.428379i	0.245369	+	0.0478942i
$81$	−16.4657	+	4.83477i	−1.82953	+	0.537197i
$82$	−0.798832	−	0.364814i	−0.0882162	−	0.0402870i
$83$	0.701218	−	0.100820i	0.0769687	−	0.0110664i	−0.103723	−	0.994606i	$-0.533076\pi$
$83$	0.701218	−	0.100820i	0.0769687	−	0.0110664i	0.180692	+	0.983540i	$0.442166\pi$
$84$	3.51351	+	4.05481i	0.383356	+	0.442416i
$85$	−12.3508	−	0.617671i	−1.33964	−	0.0669959i
$86$	4.14709	−	2.66517i	0.447192	−	0.287393i
$87$	27.5146	+	3.95600i	2.94988	+	0.424128i
$88$	−0.167809	+	0.261116i	−0.0178885	+	0.0278351i
$89$	6.06502	−	6.99941i	0.642891	−	0.741936i	−0.336992	−	0.941507i	$-0.609410\pi$
$89$	6.06502	−	6.99941i	0.642891	−	0.741936i	0.979883	+	0.199572i	$0.0639551\pi$
$90$	−10.5656	+	11.0284i	−1.11371	+	1.16250i
$91$	−4.91060			−0.514771
$92$	3.04288	−	3.70687i	0.317242	−	0.386468i
$93$		−	26.2014i		−	2.71696i
$94$	−9.60505	−	2.82030i	−0.990685	−	0.290891i
$95$	−9.19515	+	3.65593i	−0.943403	+	0.375091i
$96$	−2.63759	−	1.69508i	−0.269198	−	0.173003i
$97$	−17.0747	−	2.45497i	−1.73367	−	0.249265i	−0.798132	−	0.602482i	$-0.794178\pi$
$97$	−17.0747	−	2.45497i	−1.73367	−	0.249265i	−0.935541	+	0.353218i	$0.885087\pi$
$98$	−2.20130	−	3.42529i	−0.222365	−	0.346006i
$99$	−0.880687	−	1.92844i	−0.0885124	−	0.193815i
$100$	−1.20180	+	4.85342i	−0.120180	+	0.485342i
$101$	1.14824	+	7.98619i	0.114254	+	0.794655i	0.963702	+	0.266982i	$0.0860264\pi$
$101$	1.14824	+	7.98619i	0.114254	+	0.794655i	−0.849447	+	0.527673i	$0.823064\pi$
$102$	15.7725	+	7.20306i	1.56171	+	0.713210i
$103$	3.94676	+	13.4414i	0.388886	+	1.32442i	0.888779	+	0.458336i	$0.151554\pi$
$103$	3.94676	+	13.4414i	0.388886	+	1.32442i	−0.499893	+	0.866087i	$0.666627\pi$
$104$	2.75337	−	0.808463i	0.269990	−	0.0792763i
$105$	−9.44792	+	7.39377i	−0.922023	+	0.721558i
$106$	0.500424	+	3.48052i	0.0486054	+	0.338058i
$107$	−1.03399	+	0.895959i	−0.0999598	+	0.0866156i	−0.703407	−	0.710787i	$-0.748339\pi$
$107$	−1.03399	+	0.895959i	−0.0999598	+	0.0866156i	0.603447	+	0.797403i	$0.293793\pi$
$108$	10.9236	−	4.98865i	1.05112	−	0.480033i
$109$	11.7161	−	7.52948i	1.12220	−	0.721193i	0.158281	−	0.987394i	$-0.449405\pi$
$109$	11.7161	−	7.52948i	1.12220	−	0.721193i	0.963918	+	0.266201i	$0.0857684\pi$
$110$	−0.564403	−	0.403928i	−0.0538137	−	0.0385130i
$111$	15.0360	+	9.66302i	1.42715	+	0.917174i
$112$	−1.29327	−	1.12063i	−0.122203	−	0.105889i
$113$	−5.33157	+	18.1577i	−0.501552	+	1.70813i	0.186489	+	0.982457i	$0.440289\pi$
$113$	−5.33157	+	18.1577i	−0.501552	+	1.70813i	−0.688041	+	0.725672i	$0.741529\pi$
$114$	13.8747			1.29949
$115$	7.93862	+	7.20960i	0.740280	+	0.672299i
$116$	−8.86596			−0.823183
$117$	−5.52195	+	18.8060i	−0.510504	+	1.73862i
$118$	4.04486	+	3.50489i	0.372359	+	0.322651i
$119$	7.96146	+	5.11652i	0.729826	+	0.469031i
$120$	4.08016	−	5.70116i	0.372466	−	0.520442i
$121$	−9.17274	+	5.89496i	−0.833886	+	0.535906i
$122$	4.68742	−	2.14067i	0.424379	−	0.193807i
$123$	−2.08089	+	1.80310i	−0.187627	+	0.162580i
$124$	1.18931	+	8.27181i	0.106803	+	0.742830i
$125$	−10.7048	−	3.22602i	−0.957467	−	0.288544i
$126$	11.2147	−	3.29292i	0.999081	−	0.293357i
$127$	−3.83108	−	13.0474i	−0.339953	−	1.15777i	−0.935167	−	0.354207i	$-0.884751\pi$
$127$	−3.83108	−	13.0474i	−0.339953	−	1.15777i	0.595214	−	0.803567i	$-0.297067\pi$
$128$	0.909632	+	0.415415i	0.0804009	+	0.0367178i
$129$	−2.19962	−	15.2987i	−0.193666	−	1.34697i
$130$	1.49800	+	6.23933i	0.131384	+	0.547226i
$131$	5.42795	+	11.8856i	0.474243	+	1.03845i	0.984007	+	0.178132i	$0.0570055\pi$
$131$	5.42795	+	11.8856i	0.474243	+	1.03845i	−0.509764	+	0.860314i	$0.670267\pi$
$132$	0.526135	+	0.818681i	0.0457941	+	0.0712571i
$133$	7.49569	+	1.07772i	0.649959	+	0.0934500i
$134$	1.42755	+	0.917431i	0.123322	+	0.0792539i
$135$	9.92100	+	24.9526i	0.853864	+	2.14758i
$136$	−5.30635	−	1.55809i	−0.455016	−	0.133605i
$137$			4.70220i			0.401736i	0.979618	+	0.200868i	$0.0643763\pi$
$137$			4.70220i			0.401736i	−0.979618	+	0.200868i	$0.935624\pi$
$138$	−6.60871	−	13.5063i	−0.562570	−	1.14973i
$139$	−18.1229			−1.53716			−0.768581	−	0.639752i	$-0.779037\pi$
$139$	−18.1229			−1.53716			−0.768581	+	0.639752i	$0.779037\pi$
$140$	2.64711	−	2.76307i	0.223722	−	0.233522i
$141$	−20.5536	+	23.7201i	−1.73092	+	1.99759i
$142$	−4.44004	+	6.90883i	−0.372600	+	0.579776i
$143$	−0.881631	−	0.126759i	−0.0737257	−	0.0106002i
$144$	−5.74592	+	3.69268i	−0.478826	+	0.307723i
$145$	0.990213	−	19.8001i	0.0822327	−	1.64431i
$146$	−1.98752	−	2.29372i	−0.164489	−	0.189830i
$147$	−12.6360	+	1.81678i	−1.04220	+	0.149845i
$148$	−5.18548	−	2.36813i	−0.426244	−	0.194659i
$149$	−6.35080	+	1.86476i	−0.520278	+	0.152767i	−0.531319	−	0.847172i	$-0.678304\pi$
$149$	−6.35080	+	1.86476i	−0.520278	+	0.152767i	0.0110414	+	0.999939i	$0.496485\pi$
$150$	12.2766	+	9.74888i	1.00238	+	0.795993i
$151$	6.28751	−	13.7677i	0.511671	−	1.12040i	−0.460827	−	0.887490i	$-0.652447\pi$
$151$	6.28751	−	13.7677i	0.511671	−	1.12040i	0.972498	−	0.232912i	$-0.0748255\pi$
$152$	−4.38026	+	0.629787i	−0.355286	+	0.0510824i
$153$	28.5473	−	24.7364i	2.30791	−	1.99982i
$154$	0.220648	+	0.483153i	0.0177804	+	0.0389336i
$155$	−18.6061	+	1.73220i	−1.49448	+	0.139133i
$156$	1.28042	−	8.90555i	0.102516	−	0.713014i
$157$	−11.3249	+	17.6219i	−0.903828	+	1.40638i	0.00985312	+	0.999951i	$0.496864\pi$
$157$	−11.3249	+	17.6219i	−0.903828	+	1.40638i	−0.913681	+	0.406432i	$0.866773\pi$
$158$	−6.22335	−	5.39256i	−0.495103	−	0.429009i
$159$	10.5782	+	3.10603i	0.838903	+	0.246324i
$160$	−1.02933	+	1.98506i	−0.0813758	+	0.156933i
$161$	−2.52120	−	7.80997i	−0.198698	−	0.615512i
$162$		−	17.1609i		−	1.34828i
$163$	−0.636868	+	2.16897i	−0.0498833	+	0.169887i	−0.980667	−	0.195683i	$-0.937308\pi$
$163$	−0.636868	+	2.16897i	−0.0498833	+	0.169887i	0.930784	+	0.365570i	$0.119126\pi$
$164$	0.575093	−	0.663693i	0.0449073	−	0.0518257i
$165$	−1.88710	+	1.08357i	−0.146911	+	0.0843557i
$166$	−0.100820	+	0.701218i	−0.00782514	+	0.0544251i
$167$	−4.53256	−	7.05281i	−0.350740	−	0.545763i	0.620396	−	0.784289i	$-0.286972\pi$
$167$	−4.53256	−	7.05281i	−0.350740	−	0.545763i	−0.971136	+	0.238526i	$0.923336\pi$
$168$	−4.88043	+	2.22882i	−0.376533	+	0.171957i
$169$	−3.12063	−	3.60140i	−0.240049	−	0.277031i
$170$	4.07229	−	11.6765i	0.312330	−	0.895549i
$171$	12.5562	−	27.4942i	0.960196	−	2.10254i
$172$	1.38884	+	4.72996i	0.105898	+	0.360656i
$173$	−1.67297	−	5.69761i	−0.127193	−	0.433181i	0.871131	−	0.491051i	$-0.163387\pi$
$173$	−1.67297	−	5.69761i	−0.127193	−	0.433181i	−0.998324	+	0.0578702i	$0.981569\pi$
$174$	−11.5475	+	25.2855i	−0.875415	+	1.91689i
$175$	5.87506	+	6.22033i	0.444113	+	0.470213i
$176$	−0.203262	−	0.234577i	−0.0153214	−	0.0176819i
$177$	15.2641	−	6.97089i	1.14732	−	0.523964i
$178$	5.00717	+	7.79131i	0.375303	+	0.583983i
$179$	0.668701	−	4.65092i	0.0499811	−	0.347626i	−0.949451	−	0.313916i	$-0.898359\pi$
$179$	0.668701	−	4.65092i	0.0499811	−	0.347626i	0.999432	−	0.0337095i	$-0.0107321\pi$
$180$	−7.60502	−	13.2446i	−0.566845	−	0.987198i
$181$	5.20359	−	6.00526i	0.386780	−	0.446368i	−0.528653	−	0.848838i	$-0.677303\pi$
$181$	5.20359	−	6.00526i	0.386780	−	0.446368i	0.915433	+	0.402470i	$0.131848\pi$
$182$	1.38348	−	4.71169i	0.102550	−	0.349253i
$183$		−	16.1566i		−	1.19433i
$184$	2.69944	+	3.96397i	0.199005	+	0.292228i
$185$	5.86784	−	11.3161i	0.431412	−	0.831978i
$186$	25.1400	+	7.38178i	1.84336	+	0.541259i
$187$	1.29730	+	1.12411i	0.0948677	+	0.0822034i
$188$	5.41211	−	8.42141i	0.394719	−	0.614194i
$189$	2.92457	−	20.3408i	0.212731	−	1.47958i
$190$	−0.917269	−	9.85268i	−0.0665457	−	0.714788i
$191$	5.35322	+	11.7219i	0.387345	+	0.848167i	0.998398	+	0.0565778i	$0.0180189\pi$
$191$	5.35322	+	11.7219i	0.387345	+	0.848167i	−0.611053	+	0.791590i	$0.709254\pi$
$192$	2.36951	−	2.05319i	0.171005	−	0.148176i
$193$	−8.50934	+	1.22346i	−0.612515	+	0.0880664i	−0.441589	−	0.897217i	$-0.645585\pi$
$193$	−8.50934	+	1.22346i	−0.612515	+	0.0880664i	−0.170926	+	0.985284i	$0.554676\pi$
$194$	7.16603	−	15.6914i	0.514491	−	1.12658i
$195$	19.7455	+	3.85418i	1.41401	+	0.276003i
$196$	3.90672	−	1.14712i	0.279051	−	0.0819369i
$197$	−7.48713	−	3.41926i	−0.533436	−	0.243612i	0.130438	−	0.991456i	$-0.458362\pi$
$197$	−7.48713	−	3.41926i	−0.533436	−	0.243612i	−0.663874	+	0.747844i	$0.731089\pi$
$198$	2.09844	−	0.301710i	0.149130	−	0.0214416i
$199$	4.88897	+	5.64217i	0.346570	+	0.399963i	0.902096	−	0.431536i	$-0.142028\pi$
$199$	4.88897	+	5.64217i	0.346570	+	0.399963i	−0.555525	+	0.831500i	$0.687483\pi$
$200$	−4.31823	−	2.52049i	−0.305345	−	0.178225i
$201$	4.47581	−	2.87643i	0.315700	−	0.202888i
$202$	−7.98619	−	1.14824i	−0.561906	−	0.0807899i
$203$	−8.20250	+	12.7633i	−0.575702	+	0.895810i
$204$	−11.3549	+	13.1043i	−0.795003	+	0.917483i
$205$	1.41798	+	1.35847i	0.0990360	+	0.0948796i
$206$	−14.0089			−0.976046
$207$	−32.7448	+	0.873097i	−2.27592	+	0.0606844i
$208$			2.86961i			0.198972i
$209$	1.31793	+	0.386979i	0.0911631	+	0.0267679i
$210$	−4.43249	−	11.1483i	−0.305871	−	0.769305i
$211$	10.9253	+	7.02125i	0.752128	+	0.483363i	0.859678	−	0.510837i	$-0.170664\pi$
$211$	10.9253	+	7.02125i	0.752128	+	0.483363i	−0.107550	+	0.994200i	$0.534301\pi$
$212$	−3.48052	−	0.500424i	−0.239043	−	0.0343692i
$213$	13.9209	+	21.6614i	0.953845	+	1.48421i
$214$	−0.568357	−	1.24453i	−0.0388521	−	0.0850742i
$215$	−10.7184	+	2.57339i	−0.730991	+	0.175504i
$216$	1.70903	+	11.8866i	0.116285	+	0.808780i
$217$	13.0083	+	5.94070i	0.883061	+	0.403281i
$218$	3.92368	+	13.3628i	0.265745	+	0.905044i
$219$	−9.13032	+	2.68090i	−0.616970	+	0.181159i
$220$	0.546577	−	0.427741i	0.0368502	−	0.0288383i
$221$	−2.25854	−	15.7085i	−0.151926	−	1.05667i
$222$	−13.5077	+	11.7045i	−0.906579	+	0.785555i
$223$	0.179227	−	0.0818505i	0.0120020	−	0.00548111i	−0.409405	−	0.912353i	$-0.634264\pi$
$223$	0.179227	−	0.0818505i	0.0120020	−	0.00548111i	0.421407	+	0.906872i	$0.361536\pi$
$224$	1.43959	−	0.925168i	0.0961866	−	0.0618154i
$225$	30.4284	−	15.5049i	2.02856	−	1.03366i
$226$	−15.9201	−	10.2312i	−1.05899	−	0.680570i
$227$	5.27296	+	4.56905i	0.349979	+	0.303258i	0.812054	−	0.583583i	$-0.198350\pi$
$227$	5.27296	+	4.56905i	0.349979	+	0.303258i	−0.462075	+	0.886841i	$0.652895\pi$
$228$	−3.90896	+	13.3127i	−0.258877	+	0.881655i
$229$	4.36872			0.288693			0.144347	−	0.989527i	$-0.453892\pi$
$229$	4.36872			0.288693			0.144347	+	0.989527i	$0.453892\pi$
$230$	−9.15413	+	5.58587i	−0.603605	+	0.368321i
$231$	1.66533			0.109570
$232$	2.49783	−	8.50682i	0.163990	−	0.558500i
$233$	9.11668	+	7.89965i	0.597254	+	0.517523i	0.900196	−	0.435486i	$-0.143423\pi$
$233$	9.11668	+	7.89965i	0.597254	+	0.517523i	−0.302942	+	0.953009i	$0.597969\pi$
$234$	−16.4885	−	10.5965i	−1.07789	−	0.692718i
$235$	18.2029	+	13.0273i	1.18742	+	0.849807i
$236$	−4.50249	+	2.89357i	−0.293087	+	0.188355i
$237$	−23.4851	+	10.7253i	−1.52552	+	0.696683i
$238$	−7.15227	+	6.19748i	−0.463613	+	0.401723i
$239$	−3.41207	−	23.7314i	−0.220708	−	1.53506i	−0.735370	−	0.677666i	$-0.762991\pi$
$239$	−3.41207	−	23.7314i	−0.220708	−	1.53506i	0.514661	−	0.857394i	$-0.327918\pi$
$240$	4.32070	+	5.52109i	0.278900	+	0.356385i
$241$	18.9449	−	5.56273i	1.22035	−	0.358327i	0.392750	−	0.919645i	$-0.371524\pi$
$241$	18.9449	−	5.56273i	1.22035	−	0.358327i	0.827600	+	0.561318i	$0.189706\pi$
$242$	−3.07192	−	10.4620i	−0.197470	−	0.672522i
$243$	−16.1716	−	7.38533i	−1.03741	−	0.473769i
$244$	0.733362	+	5.10064i	0.0469487	+	0.326535i
$245$	2.12550	+	8.85290i	0.135793	+	0.565591i
$246$	−1.14381	−	2.50459i	−0.0729264	−	0.159687i
$247$	−6.86554	−	10.6830i	−0.436844	−	0.679743i
$248$	−8.27181	−	1.18931i	−0.525260	−	0.0755210i
$249$	1.86855	+	1.20084i	0.118414	+	0.0761002i
$250$	6.11124	−	9.36231i	0.386509	−	0.592124i
$251$	22.0043	+	6.46105i	1.38890	+	0.407818i	0.888858	−	0.458182i	$-0.151499\pi$
$251$	22.0043	+	6.46105i	1.38890	+	0.407818i	0.500043	+	0.866001i	$0.333318\pi$
$252$			11.6881i			0.736281i
$253$	−0.251044	−	1.46725i	−0.0157830	−	0.0922455i
$254$	13.5983			0.853232
$255$	−27.9973	−	26.8223i	−1.75326	−	1.67967i
$256$	−0.654861	+	0.755750i	−0.0409288	+	0.0472343i
$257$	−0.962922	+	1.49834i	−0.0600654	+	0.0934636i	−0.869987	−	0.493074i	$-0.835873\pi$
$257$	−0.962922	+	1.49834i	−0.0600654	+	0.0934636i	0.809922	+	0.586538i	$0.199509\pi$
$258$	15.2987	+	2.19962i	0.952454	+	0.136942i
$259$	−8.20657	+	5.27405i	−0.509932	+	0.327713i
$260$	−6.40863	−	0.320499i	−0.397447	−	0.0198765i
$261$	39.6558	+	45.7653i	2.45463	+	2.83280i
$262$	−12.9333	+	1.85953i	−0.799025	+	0.114882i
$263$	4.55507	+	2.08023i	0.280878	+	0.128273i	0.550873	−	0.834589i	$-0.314295\pi$
$263$	4.55507	+	2.08023i	0.280878	+	0.128273i	−0.269995	+	0.962862i	$0.587022\pi$
$264$	−0.933748	+	0.274173i	−0.0574682	+	0.0168742i
$265$	1.50631	−	7.71708i	0.0925321	−	0.474056i
$266$	−3.14584	+	6.88843i	−0.192884	+	0.422357i
$267$	28.7423	−	4.13251i	1.75900	−	0.252906i
$268$	−1.28246	+	1.11125i	−0.0783384	+	0.0678806i
$269$	−4.11406	−	9.00853i	−0.250839	−	0.549260i	0.741765	−	0.670660i	$-0.233989\pi$
$269$	−4.11406	−	9.00853i	−0.250839	−	0.549260i	−0.992604	+	0.121400i	$0.961262\pi$
$270$	−26.7369	+	2.48917i	−1.62716	+	0.151486i
$271$	−2.86590	+	19.9327i	−0.174091	+	1.21083i	0.696039	+	0.718004i	$0.254944\pi$
$271$	−2.86590	+	19.9327i	−0.174091	+	1.21083i	−0.870129	+	0.492823i	$0.835965\pi$
$272$	2.98994	−	4.65244i	0.181292	−	0.282096i
$273$	−11.6357	−	10.0824i	−0.704226	−	0.610215i
$274$	−4.51173	−	1.32476i	−0.272564	−	0.0800319i
$275$	0.894219	+	1.26843i	0.0539234	+	0.0764892i
$276$	14.8211	−	2.53585i	0.892123	−	0.152640i
$277$		−	7.60380i		−	0.456868i	−0.973559	−	0.228434i	$-0.926640\pi$
$277$		−	7.60380i		−	0.456868i	0.973559	−	0.228434i	$-0.0733605\pi$
$278$	5.10580	−	17.3888i	0.306226	−	1.04291i
$279$	37.3788	−	43.1374i	2.23781	−	2.58257i
$280$	1.90537	+	3.31833i	0.113868	+	0.198308i
$281$	−4.11003	+	28.5859i	−0.245184	+	1.70529i	0.380143	+	0.924928i	$0.375875\pi$
$281$	−4.11003	+	28.5859i	−0.245184	+	1.70529i	−0.625327	+	0.780363i	$0.715034\pi$
$282$	−16.9687	−	26.4037i	−1.01047	−	1.57232i
$283$	2.82957	−	1.29222i	0.168200	−	0.0768145i	−0.329536	−	0.944143i	$-0.606892\pi$
$283$	2.82957	−	1.29222i	0.168200	−	0.0768145i	0.497736	+	0.867329i	$0.334165\pi$
$284$	−5.37807	−	6.20663i	−0.319130	−	0.368296i
$285$	−29.2943	−	10.2166i	−1.73525	−	0.605182i
$286$	0.370009	−	0.810207i	0.0218791	−	0.0479085i
$287$	−0.423388	−	1.44193i	−0.0249918	−	0.0851142i
$288$	−1.92429	−	6.55351i	−0.113390	−	0.386170i
$289$	−5.64341	+	12.3574i	−0.331966	+	0.726903i
$290$	18.7191	+	6.52845i	1.09922	+	0.383364i
$291$	−35.4182	−	40.8747i	−2.07625	−	2.39612i
$292$	2.76076	−	1.26080i	0.161561	−	0.0737826i
$293$	−5.33958	−	8.30854i	−0.311941	−	0.485390i	0.649515	−	0.760349i	$-0.274972\pi$
$293$	−5.33958	−	8.30854i	−0.311941	−	0.485390i	−0.961456	+	0.274959i	$0.911336\pi$
$294$	1.81678	−	12.6360i	0.105957	−	0.736944i
$295$	−5.95928	−	10.3785i	−0.346963	−	0.604258i
$296$	3.73312	−	4.30825i	0.216983	−	0.250412i
$297$	1.05013	−	3.57643i	0.0609350	−	0.207525i
$298$		−	6.61891i		−	0.383423i
$299$	−7.12916	+	11.7717i	−0.412290	+	0.680774i
$300$	−12.8127	+	9.03270i	−0.739741	+	0.521503i
$301$	8.09412	+	2.37665i	0.466537	+	0.136988i
$302$	11.4386	+	9.91164i	0.658220	+	0.570351i
$303$	−13.6764	+	21.2809i	−0.785690	+	1.22256i
$304$	0.629787	−	4.38026i	0.0361207	−	0.251225i
$305$	−11.4731	+	1.06812i	−0.656945	+	0.0611606i
$306$	15.6917	+	34.3599i	0.897032	+	1.96423i
$307$	4.63490	−	4.01616i	0.264527	−	0.229214i	−0.512490	−	0.858693i	$-0.671277\pi$
$307$	4.63490	−	4.01616i	0.264527	−	0.229214i	0.777018	+	0.629479i	$0.216732\pi$
$308$	−0.525746	+	0.0755908i	−0.0299571	+	0.00430719i
$309$	−18.2460	+	39.9531i	−1.03798	+	2.27285i
$310$	3.57990	−	18.3404i	0.203325	−	1.04166i
$311$	−21.3138	+	6.25829i	−1.20859	+	0.354875i	−0.823132	−	0.567849i	$-0.807776\pi$
$311$	−21.3138	+	6.25829i	−1.20859	+	0.354875i	−0.385461	+	0.922724i	$0.625957\pi$
$312$	8.18407	+	3.73754i	0.463332	+	0.211597i
$313$	2.67400	−	0.384463i	0.151143	−	0.0217311i	−0.0663278	−	0.997798i	$-0.521128\pi$
$313$	2.67400	−	0.384463i	0.151143	−	0.0217311i	0.217471	+	0.976067i	$0.430219\pi$
$314$	−13.7175	−	15.8309i	−0.774125	−	0.893387i
$315$	−26.1028	−	1.30541i	−1.47072	−	0.0735516i
$316$	6.92744	−	4.45200i	0.389699	−	0.250444i
$317$	22.4536	+	3.22835i	1.26112	+	0.181322i	0.740261	−	0.672320i	$-0.234702\pi$
$317$	22.4536	+	3.22835i	1.26112	+	0.181322i	0.520861	+	0.853642i	$0.325611\pi$
$318$	−5.96043	+	9.27460i	−0.334244	+	0.520094i
$319$	−1.80211	+	2.07975i	−0.100899	+	0.116444i
$320$	−1.61466	−	1.54689i	−0.0902622	−	0.0864739i
$321$	−4.28963			−0.239424
$322$	8.20392	−	0.218747i	0.457186	−	0.0121903i
$323$			24.4736i			1.36175i
$324$	16.4657	+	4.83477i	0.914763	+	0.268599i
$325$	1.43152	−	14.2765i	0.0794067	−	0.791915i
$326$	−1.90169	−	1.22214i	−0.105325	−	0.0676881i
$327$	43.2209	+	6.21423i	2.39012	+	0.343648i
$328$	0.474786	+	0.738782i	0.0262157	+	0.0407924i
$329$	−7.11626	−	15.5824i	−0.392332	−	0.859087i
$330$	−0.508017	−	2.11594i	−0.0279654	−	0.116479i
$331$	0.372121	+	2.58816i	0.0204536	+	0.142258i	0.997489	−	0.0708180i	$-0.0225609\pi$
$331$	0.372121	+	2.58816i	0.0204536	+	0.142258i	−0.977036	+	0.213076i	$0.931652\pi$
$332$	−0.644409	−	0.294292i	−0.0353666	−	0.0161514i
$333$	10.9697	+	37.3592i	0.601133	+	2.04727i
$334$	8.04409	−	2.36196i	0.440153	−	0.129241i
$335$	−2.33850	−	2.98819i	−0.127766	−	0.163262i
$336$	−0.763559	−	5.31067i	−0.0416556	−	0.289721i
$337$	3.35311	−	2.90549i	0.182656	−	0.158272i	−0.558734	−	0.829347i	$-0.688713\pi$
$337$	3.35311	−	2.90549i	0.182656	−	0.158272i	0.741389	+	0.671075i	$0.234167\pi$
$338$	4.33470	−	1.97959i	0.235777	−	0.107676i
$339$	−49.9144	+	32.0780i	−2.71098	+	1.74224i
$340$	10.0563	+	7.19699i	0.545377	+	0.390312i
$341$	2.18211	+	1.40236i	0.118168	+	0.0759420i
$342$	22.8430	+	19.7936i	1.23521	+	1.07031i
$343$	5.33778	−	18.1788i	0.288213	−	0.981564i
$344$	−4.92965			−0.265789
$345$	4.00794	+	33.3827i	0.215780	+	1.79727i
$346$	5.93814			0.319237
$347$	8.32057	−	28.3373i	0.446672	−	1.52122i	−0.361554	−	0.932351i	$-0.617754\pi$
$347$	8.32057	−	28.3373i	0.446672	−	1.52122i	0.808226	−	0.588873i	$-0.200428\pi$
$348$	−21.0080	−	18.2035i	−1.12615	−	0.975811i
$349$	22.9030	+	14.7189i	1.22597	+	0.787883i	0.983259	−	0.182215i	$-0.0583267\pi$
$349$	22.9030	+	14.7189i	1.22597	+	0.787883i	0.242712	+	0.970098i	$0.421963\pi$
$350$	−7.62356	+	3.88461i	−0.407496	+	0.207641i
$351$	−28.9901	+	18.6308i	−1.54738	+	0.994440i
$352$	0.282340	−	0.128941i	0.0150488	−	0.00687255i
$353$	17.2894	−	14.9814i	0.920222	−	0.797377i	−0.0593985	−	0.998234i	$-0.518918\pi$
$353$	17.2894	−	14.9814i	0.920222	−	0.797377i	0.979620	+	0.200857i	$0.0643728\pi$
$354$	2.38812	+	16.6097i	0.126927	+	0.882798i
$355$	14.4618	−	11.3175i	0.767552	−	0.600672i
$356$	−8.88639	+	2.60928i	−0.470978	+	0.138291i
$357$	8.35957	+	28.4701i	0.442435	+	1.50680i
$358$	4.27413	+	1.95193i	0.225895	+	0.103163i
$359$	−1.05822	−	7.36006i	−0.0558506	−	0.388449i	−0.998504	−	0.0546764i	$-0.982587\pi$
$359$	−1.05822	−	7.36006i	−0.0558506	−	0.388449i	0.942654	−	0.333773i	$-0.108322\pi$
$360$	14.8507	−	3.56552i	0.782702	−	0.187919i
$361$	0.242323	+	0.530613i	0.0127538	+	0.0279270i
$362$	4.29599	+	6.68469i	0.225792	+	0.351339i
$363$	−33.8384	−	4.86523i	−1.77606	−	0.255358i
$364$	4.13106	+	2.65487i	0.216526	+	0.139153i
$365$	2.50737	+	6.30636i	0.131242	+	0.330090i
$366$	15.5021	+	4.55183i	0.810308	+	0.237928i
$367$			11.8624i			0.619214i	0.950865	+	0.309607i	$0.100197\pi$
$367$			11.8624i			0.619214i	−0.950865	+	0.309607i	$0.899803\pi$
$368$	−4.56392	+	1.47331i	−0.237911	+	0.0768018i
$369$	−5.99821			−0.312255
$370$	9.20458	+	8.81828i	0.478524	+	0.458440i
$371$	−3.94047	+	4.54755i	−0.204579	+	0.236097i
$372$	−14.1655	+	22.0420i	−0.734449	+	1.14283i
$373$	14.6693	+	2.10912i	0.759545	+	0.109206i	0.511196	−	0.859464i	$-0.329203\pi$
$373$	14.6693	+	2.10912i	0.759545	+	0.109206i	0.248350	+	0.968670i	$0.420112\pi$
$374$	−1.44407	+	0.928048i	−0.0746711	+	0.0479882i
$375$	−18.7415	−	29.6231i	−0.967807	−	1.52973i
$376$	6.55551	+	7.56547i	0.338075	+	0.390159i
$377$	25.1829	−	3.62075i	1.29698	−	0.186478i
$378$	18.6929	+	8.53678i	0.961462	+	0.439085i
$379$	−16.2047	+	4.75814i	−0.832382	+	0.244409i	−0.670040	−	0.742325i	$-0.733723\pi$
$379$	−16.2047	+	4.75814i	−0.832382	+	0.244409i	−0.162342	+	0.986735i	$0.551905\pi$
$380$	9.71200	+	1.89571i	0.498215	+	0.0972477i
$381$	17.7112	−	38.7820i	0.907370	−	1.98686i
$382$	−12.7553	+	1.83393i	−0.652616	+	0.0938320i
$383$	3.28913	−	2.85005i	0.168067	−	0.145631i	−0.566767	−	0.823878i	$-0.691806\pi$
$383$	3.28913	−	2.85005i	0.168067	−	0.145631i	0.734833	+	0.678248i	$0.237260\pi$
$384$	1.30246	+	2.85198i	0.0664657	+	0.145540i
$385$	−0.110096	−	1.18258i	−0.00561102	−	0.0602698i
$386$	1.22346	−	8.50934i	0.0622724	−	0.433114i
$387$	18.2036	−	28.3254i	0.925341	−	1.43986i
$388$	13.0369	+	11.2965i	0.661848	+	0.573495i
$389$	7.24671	+	2.12783i	0.367423	+	0.107885i	0.460232	−	0.887799i	$-0.347766\pi$
$389$	7.24671	+	2.12783i	0.367423	+	0.107885i	−0.0928089	+	0.995684i	$0.529585\pi$
$390$	−9.26102	+	17.8599i	−0.468950	+	0.904369i
$391$	23.8237	−	11.6571i	1.20482	−	0.589524i
$392$			4.07165i			0.205649i
$393$	−11.5418	+	39.3076i	−0.582205	+	1.98281i
$394$	5.39012	−	6.22053i	0.271551	−	0.313386i
$395$	9.16884	+	15.9681i	0.461334	+	0.803444i
$396$	−0.301710	+	2.09844i	−0.0151615	+	0.105451i
$397$	4.68475	+	7.28961i	0.235121	+	0.365855i	0.938685	−	0.344777i	$-0.112045\pi$
$397$	4.68475	+	7.28961i	0.235121	+	0.365855i	−0.703564	+	0.710632i	$0.748409\pi$
$398$	−6.79101	+	3.10135i	−0.340403	+	0.155457i
$399$	15.5484	+	17.9438i	0.778392	+	0.898312i
$400$	3.63498	−	3.43321i	0.181749	−	0.171661i
$401$	13.0882	−	28.6591i	0.653591	−	1.43117i	−0.234784	−	0.972048i	$-0.575438\pi$
$401$	13.0882	−	28.6591i	0.653591	−	1.43117i	0.888375	−	0.459118i	$-0.151834\pi$
$402$	1.49893	+	5.10490i	0.0747600	+	0.254609i
$403$	−6.75621	−	23.0096i	−0.336551	−	1.14619i
$404$	3.35170	−	7.33920i	0.166753	−	0.365139i
$405$	−12.6364	+	36.2326i	−0.627908	+	1.80041i
$406$	−9.93542	−	11.4661i	−0.493086	−	0.569052i
$407$	−1.60952	+	0.735043i	−0.0797809	+	0.0364347i
$408$	−9.37441	−	14.5869i	−0.464102	−	0.722157i
$409$	−2.35111	+	16.3523i	−0.116255	+	0.808571i	0.845365	+	0.534188i	$0.179383\pi$
$409$	−2.35111	+	16.3523i	−0.116255	+	0.808571i	−0.961620	+	0.274383i	$0.911526\pi$
$410$	−1.70293	+	0.977817i	−0.0841019	+	0.0482909i
$411$	−9.65453	+	11.1419i	−0.476223	+	0.549591i
$412$	3.94676	−	13.4414i	0.194443	−	0.662212i
$413$			9.15877i			0.450673i
$414$	8.38754	−	31.6644i	0.412225	−	1.55622i
$415$	0.729207	−	1.40628i	0.0357954	−	0.0690314i
$416$	−2.75337	−	0.808463i	−0.134995	−	0.0396381i
$417$	−42.9424	−	37.2098i	−2.10290	−	1.82217i
$418$	−0.742607	+	1.15552i	−0.0363221	+	0.0565183i
$419$	−3.93987	+	27.4024i	−0.192475	+	1.33869i	0.632954	+	0.774189i	$0.281842\pi$
$419$	−3.93987	+	27.4024i	−0.192475	+	1.33869i	−0.825430	+	0.564505i	$0.809067\pi$
$420$	11.9455	−	1.11211i	0.582880	−	0.0542652i
$421$	0.893209	+	1.95586i	0.0435324	+	0.0953226i	0.930149	−	0.367183i	$-0.119678\pi$
$421$	0.893209	+	1.95586i	0.0435324	+	0.0953226i	−0.886616	+	0.462506i	$0.846950\pi$
$422$	−9.81485	+	8.50462i	−0.477779	+	0.413998i
$423$	−67.6779	+	9.73062i	−3.29061	+	0.473119i
$424$	1.46073	−	3.19855i	0.0709393	−	0.155335i
$425$	−17.1960	+	21.6546i	−0.834130	+	1.05040i
$426$	−24.7059	+	7.25430i	−1.19700	+	0.351472i
$427$	8.02131	+	3.66321i	0.388179	+	0.177275i
$428$	1.35424	−	0.194710i	0.0654597	−	0.00941169i
$429$	−1.82877	−	2.11052i	−0.0882940	−	0.101897i
$430$	0.550579	−	11.0093i	0.0265513	−	0.530914i
$431$	21.5740	−	13.8648i	1.03918	−	0.667843i	0.0943993	−	0.995534i	$-0.469907\pi$
$431$	21.5740	−	13.8648i	1.03918	−	0.667843i	0.944785	+	0.327691i	$0.106271\pi$
$432$	−11.8866	−	1.70903i	−0.571894	−	0.0822259i
$433$	4.89885	−	7.62275i	0.235424	−	0.366326i	−0.703360	−	0.710834i	$-0.748318\pi$
$433$	4.89885	−	7.62275i	0.235424	−	0.366326i	0.938784	+	0.344508i	$0.111954\pi$
$434$	−9.36492	+	10.8077i	−0.449531	+	0.518786i
$435$	42.9998	−	44.8835i	2.06168	−	2.15200i
$436$	−13.9270			−0.666980
$437$	13.4657	−	16.4040i	0.644150	−	0.784711i
$438$		−	9.51578i		−	0.454681i
$439$	−5.31634	−	1.56102i	−0.253735	−	0.0745033i	0.152392	−	0.988320i	$-0.451303\pi$
$439$	−5.31634	−	1.56102i	−0.253735	−	0.0745033i	−0.406126	+	0.913817i	$0.633121\pi$
$440$	0.256426	+	0.644945i	0.0122246	+	0.0307466i
$441$	−23.3954	−	15.0353i	−1.11406	−	0.715966i
$442$	15.7085	+	2.25854i	0.747176	+	0.107428i
$443$	−1.53783	−	2.39291i	−0.0730644	−	0.113690i	0.802799	−	0.596250i	$-0.203343\pi$
$443$	−1.53783	−	2.39291i	−0.0730644	−	0.113690i	−0.875863	+	0.482560i	$0.839707\pi$
$444$	−7.42483	−	16.2581i	−0.352367	−	0.771576i
$445$	−4.83475	−	20.1372i	−0.229189	−	0.954594i
$446$	0.0280407	+	0.195027i	0.00132777	+	0.00923482i
$447$	−18.8770	−	8.62084i	−0.892852	−	0.407752i
$448$	0.482113	+	1.64193i	0.0227777	+	0.0775737i
$449$	27.7520	−	8.14873i	1.30970	−	0.384562i	0.448934	−	0.893565i	$-0.351804\pi$
$449$	27.7520	−	8.14873i	1.30970	−	0.384562i	0.860765	+	0.509003i	$0.169986\pi$
$450$	6.30416	+	33.5640i	0.297181	+	1.58222i
$451$	−0.0387924	−	0.269807i	−0.00182666	−	0.0127047i
$452$	14.3020	−	12.3927i	0.672708	−	0.582905i
$453$	43.1661	−	19.7133i	2.02812	−	0.926213i
$454$	−5.86953	+	3.77212i	−0.275471	+	0.177034i
$455$	−6.39045	+	8.92928i	−0.299589	+	0.418611i
$456$	−11.6722	−	7.50124i	−0.546599	−	0.351278i
$457$	−20.6860	−	17.9245i	−0.967648	−	0.838472i	0.0192500	−	0.999815i	$-0.493872\pi$
$457$	−20.6860	−	17.9245i	−0.967648	−	0.838472i	−0.986898	+	0.161343i	$0.948418\pi$
$458$	−1.23081	+	4.19176i	−0.0575120	+	0.195868i
$459$	66.4133			3.09991
$460$	−2.78059	−	10.3570i	−0.129645	−	0.482900i
$461$	−13.1665			−0.613227			−0.306613	−	0.951834i	$-0.599196\pi$
$461$	−13.1665			−0.613227			−0.306613	+	0.951834i	$0.599196\pi$
$462$	−0.469177	+	1.59787i	−0.0218281	+	0.0743396i
$463$	9.94827	+	8.62022i	0.462335	+	0.400616i	0.854641	−	0.519219i	$-0.173777\pi$
$463$	9.94827	+	8.62022i	0.462335	+	0.400616i	−0.392306	+	0.919835i	$0.628323\pi$
$464$	7.45852	+	4.79330i	0.346253	+	0.222523i
$465$	−47.6438	−	34.0974i	−2.20943	−	1.58123i
$466$	−10.1481	+	6.52180i	−0.470103	+	0.302117i
$467$	−34.6549	+	15.8264i	−1.60364	+	0.732356i	−0.997990	−	0.0633773i	$-0.979813\pi$
$467$	−34.6549	+	15.8264i	−1.60364	+	0.732356i	−0.605647	+	0.795734i	$0.707086\pi$
$468$	14.8127	−	12.8352i	0.684716	−	0.593310i
$469$	0.413263	+	2.87430i	0.0190827	+	0.132723i
$470$	−17.6279	+	13.7953i	−0.813117	+	0.636330i
$471$	−63.0158	+	18.5031i	−2.90361	+	0.852578i
$472$	−1.50786	−	5.13532i	−0.0694051	−	0.236372i
$473$	1.39184	+	0.635632i	0.0639968	+	0.0292264i
$474$	−3.67432	−	25.5555i	−0.168767	−	1.17380i
$475$	−5.31834	+	21.4779i	−0.244022	+	0.985472i
$476$	−3.93141	−	8.60858i	−0.180196	−	0.394574i
$477$	12.9846	+	20.2044i	0.594524	+	0.925098i
$478$	23.7314	+	3.41207i	1.08545	+	0.156064i
$479$	−18.6979	−	12.0164i	−0.854328	−	0.549043i	0.0385938	−	0.999255i	$-0.487712\pi$
$479$	−18.6979	−	12.0164i	−0.854328	−	0.549043i	−0.892922	+	0.450212i	$0.851349\pi$
$480$	−6.51473	+	2.59022i	−0.297355	+	0.118227i
$481$	15.6960	+	4.60875i	0.715675	+	0.210141i
$482$			19.7447i			0.899347i
$483$	10.0614	−	23.6823i	0.457808	−	1.07758i
$484$	10.9037			0.495621
$485$	−26.6843	+	27.8533i	−1.21167	+	1.26475i
$486$	11.6422	−	13.4359i	0.528103	−	0.609463i
$487$	11.0194	−	17.1466i	0.499338	−	0.776984i	−0.496509	−	0.868032i	$-0.665385\pi$
$487$	11.0194	−	17.1466i	0.499338	−	0.776984i	0.995847	+	0.0910472i	$0.0290214\pi$
$488$	−5.10064	−	0.733362i	−0.230895	−	0.0331977i
$489$	−5.96239	+	3.83179i	−0.269628	+	0.173280i
$490$	−9.09312	−	0.454751i	−0.410785	−	0.0205435i
$491$	5.40287	+	6.23524i	0.243828	+	0.281392i	0.864451	−	0.502716i	$-0.167666\pi$
$491$	5.40287	+	6.23524i	0.243828	+	0.281392i	−0.620624	+	0.784109i	$0.713120\pi$
$492$	2.72538	−	0.391851i	0.122870	−	0.0176660i
$493$	−44.6011	−	20.3686i	−2.00873	−	0.917357i
$494$	12.1845	−	3.57769i	0.548207	−	0.160968i
$495$	−4.65270	−	0.908171i	−0.209123	−	0.0408192i
$496$	3.47157	−	7.60167i	0.155878	−	0.341325i
$497$	−13.9106	+	2.00004i	−0.623976	+	0.0897142i
$498$	−1.67863	+	1.45454i	−0.0752212	+	0.0651795i
$499$	2.26859	+	4.96751i	0.101556	+	0.222376i	0.953589	−	0.301112i	$-0.0973577\pi$
$499$	2.26859	+	4.96751i	0.101556	+	0.222376i	−0.852033	+	0.523488i	$0.824630\pi$
$500$	7.26133	+	8.50136i	0.324737	+	0.380192i
$501$	3.74081	−	26.0179i	0.167127	−	1.16240i
$502$	−12.3987	+	19.2927i	−0.553380	+	0.861076i
$503$	−20.8418	−	18.0595i	−0.929291	−	0.805235i	0.0518251	−	0.998656i	$-0.483496\pi$
$503$	−20.8418	−	18.0595i	−0.929291	−	0.805235i	−0.981116	+	0.193421i	$0.938042\pi$
$504$	−11.2147	−	3.29292i	−0.499540	−	0.146678i
$505$	16.0161	+	8.30496i	0.712708	+	0.369566i
$506$	1.47855	+	0.172498i	0.0657295	+	0.00766848i
$507$		−	14.9408i		−	0.663545i
$508$	−3.83108	+	13.0474i	−0.169977	+	0.578887i
$509$	7.56688	−	8.73264i	0.335396	−	0.387068i	−0.562851	−	0.826558i	$-0.690296\pi$
$509$	7.56688	−	8.73264i	0.335396	−	0.387068i	0.898247	+	0.439491i	$0.144841\pi$
$510$	33.6235	−	19.3065i	1.48887	−	0.854906i
$511$	0.739137	−	5.14081i	0.0326975	−	0.227416i
$512$	−0.540641	−	0.841254i	−0.0238932	−	0.0371785i
$513$	48.3403	−	22.0763i	2.13428	−	0.974692i
$514$	−1.16636	−	1.34605i	−0.0514458	−	0.0593716i
$515$	29.5776	+	10.3154i	1.30335	+	0.454553i
$516$	−6.42065	+	14.0593i	−0.282653	+	0.618925i
$517$	−0.875391	−	2.98131i	−0.0384996	−	0.131118i
$518$	−2.74835	−	9.36002i	−0.120756	−	0.411256i
$519$	7.73417	−	16.9355i	0.339492	−	0.743385i
$520$	2.11304	−	6.05874i	0.0926628	−	0.265694i
$521$	−20.4164	−	23.5618i	−0.894460	−	1.03226i	−0.999286	−	0.0377712i	$-0.987974\pi$
$521$	−20.4164	−	23.5618i	−0.894460	−	1.03226i	0.104827	−	0.994491i	$-0.466571\pi$
$522$	−55.0838	+	25.1559i	−2.41095	+	1.10104i
$523$	−0.176307	−	0.274339i	−0.00770937	−	0.0119960i	0.837377	−	0.546625i	$-0.184088\pi$
$523$	−0.176307	−	0.274339i	−0.00770937	−	0.0119960i	−0.845087	+	0.534629i	$0.820451\pi$
$524$	1.85953	−	12.9333i	0.0812341	−	0.564996i
$525$	1.14948	+	26.8018i	0.0501675	+	1.16972i
$526$	−3.27928	+	3.78449i	−0.142983	+	0.165012i
$527$	−13.0207	+	44.3445i	−0.567191	+	1.93168i
$528$		−	0.973168i		−	0.0423517i
$529$	−22.3823	−	5.29463i	−0.973143	−	0.230201i
$530$	6.98011	+	3.61945i	0.303196	+	0.157219i
$531$	35.0752	+	10.2990i	1.52213	+	0.446938i
$532$	−5.72312	−	4.95911i	−0.248129	−	0.215005i
$533$	−1.36245	+	2.12002i	−0.0590143	+	0.0918281i
$534$	−4.13251	+	28.7423i	−0.178831	+	1.24380i
$535$	0.283591	+	3.04614i	0.0122607	+	0.131696i
$536$	−0.704931	−	1.54358i	−0.0304484	−	0.0666726i
$537$	11.1337	−	9.64743i	0.480456	−	0.416317i
$538$	9.80269	−	1.40941i	0.422624	−	0.0607641i
$539$	0.525000	−	1.14959i	0.0226134	−	0.0495164i
$540$	5.14433	−	26.3552i	0.221377	−	1.13415i
$541$	28.1698	−	8.27140i	1.21111	−	0.355615i	0.387022	−	0.922070i	$-0.373504\pi$
$541$	28.1698	−	8.27140i	1.21111	−	0.355615i	0.824093	+	0.566455i	$0.191686\pi$
$542$	−18.3179	−	8.36551i	−0.786822	−	0.359329i
$543$	24.6599	−	3.54556i	1.05826	−	0.152155i
$544$	3.62162	+	4.17958i	0.155276	+	0.179198i
$545$	1.55546	−	31.1027i	0.0666287	−	1.33230i
$546$	12.9522	−	8.32385i	0.554301	−	0.356228i
$547$	−4.78079	−	0.687374i	−0.204412	−	0.0293900i	0.0393482	−	0.999226i	$-0.487472\pi$
$547$	−4.78079	−	0.687374i	−0.204412	−	0.0293900i	−0.243760	+	0.969836i	$0.578381\pi$
$548$	2.54220	−	3.95575i	0.108598	−	0.168981i
$549$	23.0489	−	26.5998i	0.983702	−	1.13525i
$550$	−1.46898	+	0.500638i	−0.0626375	+	0.0213473i
$551$	−39.2346			−1.67145
$552$	−1.74244	+	14.9351i	−0.0741632	+	0.635681i
$553$		−	14.0915i		−	0.599232i
$554$	7.29579	+	2.14224i	0.309968	+	0.0910149i
$555$	37.1381	−	14.7659i	1.57643	−	0.626777i
$556$	15.2459	+	9.79797i	0.646572	+	0.415526i
$557$	−4.32690	−	0.622114i	−0.183337	−	0.0263598i	0.0500349	−	0.998747i	$-0.484067\pi$
$557$	−4.32690	−	0.622114i	−0.183337	−	0.0263598i	−0.233372	+	0.972388i	$0.574976\pi$
$558$	30.8592	+	48.0179i	1.30637	+	2.03276i
$559$	−5.87653	−	12.8678i	−0.248551	−	0.544250i
$560$	−3.72072	+	0.893309i	−0.157229	+	0.0377492i
$561$	0.765936	+	5.32720i	0.0323378	+	0.224915i
$562$	−26.2700	−	11.9971i	−1.10813	−	0.506068i
$563$	−1.99325	−	6.78837i	−0.0840053	−	0.286096i	0.906767	−	0.421632i	$-0.138543\pi$
$563$	−1.99325	−	6.78837i	−0.0840053	−	0.286096i	−0.990772	+	0.135536i	$0.956724\pi$
$564$	30.1148	−	8.84251i	1.26806	−	0.372337i
$565$	26.0791	+	33.3244i	1.09715	+	1.40197i
$566$	0.442695	+	3.07901i	0.0186078	+	0.129420i
$567$	22.1936	−	19.2309i	0.932046	−	0.807622i
$568$	7.47039	−	3.41161i	0.313451	−	0.143148i
$569$	5.25212	−	3.37534i	0.220181	−	0.141501i	−0.425901	−	0.904770i	$-0.640043\pi$
$569$	5.25212	−	3.37534i	0.220181	−	0.141501i	0.646082	+	0.763268i	$0.276407\pi$
$570$	18.0560	−	25.2294i	0.756281	−	1.05674i
$571$	12.9792	+	8.34125i	0.543164	+	0.349070i	0.783275	−	0.621675i	$-0.213548\pi$
$571$	12.9792	+	8.34125i	0.543164	+	0.349070i	−0.240111	+	0.970745i	$0.577184\pi$
$572$	0.673144	+	0.583283i	0.0281456	+	0.0243883i
$573$	−11.3828	+	38.7664i	−0.475525	+	1.61949i
$574$	1.50280			0.0627256
$575$	23.4407	−	5.05307i	0.977545	−	0.210727i
$576$	6.83018			0.284591
$577$	2.02733	−	6.90445i	0.0843988	−	0.287436i	−0.906469	−	0.422272i	$-0.861233\pi$
$577$	2.02733	−	6.90445i	0.0843988	−	0.287436i	0.990868	+	0.134836i	$0.0430508\pi$
$578$	−10.2669	−	8.89628i	−0.427045	−	0.370037i
$579$	−22.6750	−	14.5723i	−0.942339	−	0.605605i
$580$	−11.5378	+	16.1216i	−0.479080	+	0.669412i
$581$	−1.01985	+	0.655415i	−0.0423103	+	0.0271912i
$582$	49.1975	−	22.4677i	2.03930	−	0.931318i
$583$	−0.824846	+	0.714733i	−0.0341616	+	0.0296012i
$584$	0.431930	+	3.00414i	0.0178734	+	0.124312i
$585$	27.0103	+	34.5143i	1.11674	+	1.42699i
$586$	9.47632	−	2.78250i	0.391463	−	0.114944i
$587$	8.68032	+	29.5624i	0.358275	+	1.22017i	0.919692	+	0.392640i	$0.128438\pi$
$587$	8.68032	+	29.5624i	0.358275	+	1.22017i	−0.561417	+	0.827533i	$0.689744\pi$
$588$	11.6123	+	5.30314i	0.478882	+	0.218698i
$589$	5.26304	+	36.6053i	0.216860	+	1.50829i
$590$	11.6370	−	2.79393i	0.479087	−	0.115024i
$591$	−10.7204	−	23.4745i	−0.440980	−	0.965612i
$592$	3.08200	+	4.79568i	0.126669	+	0.197101i
$593$	−1.27477	−	0.183285i	−0.0523487	−	0.00752661i	0.116091	−	0.993239i	$-0.462964\pi$
$593$	−1.27477	−	0.183285i	−0.0523487	−	0.00752661i	−0.168439	+	0.985712i	$0.553873\pi$
$594$	3.13570	+	2.01519i	0.128659	+	0.0826843i
$595$	19.6644	−	7.81845i	0.806163	−	0.320525i
$596$	6.35080	+	1.86476i	0.260139	+	0.0763837i
$597$			23.4072i			0.957993i
$598$	−9.28632	−	10.1568i	−0.379746	−	0.415344i
$599$	31.1765			1.27384			0.636918	−	0.770931i	$-0.280209\pi$
$599$	31.1765			1.27384			0.636918	+	0.770931i	$0.280209\pi$
$600$	−5.05706	−	14.8385i	−0.206453	−	0.605779i
$601$	−30.5586	+	35.2665i	−1.24651	+	1.43855i	−0.391303	+	0.920262i	$0.627976\pi$
$601$	−30.5586	+	35.2665i	−1.24651	+	1.43855i	−0.855207	+	0.518287i	$0.826570\pi$
$602$	−4.56075	+	7.09667i	−0.185882	+	0.289239i
$603$	11.4724	+	1.64948i	0.467192	+	0.0671720i
$604$	−12.7328	+	8.18287i	−0.518090	+	0.332956i
$605$	−1.21780	+	24.3509i	−0.0495106	+	0.990004i
$606$	−16.5658	−	19.1180i	−0.672940	−	0.776614i
$607$	−13.1523	+	1.89101i	−0.533834	+	0.0767538i	−0.403960	−	0.914777i	$-0.632366\pi$
$607$	−13.1523	+	1.89101i	−0.533834	+	0.0767538i	−0.129874	+	0.991530i	$0.541457\pi$
$608$	4.02540	+	1.83834i	0.163251	+	0.0745545i
$609$	−45.6415	+	13.4015i	−1.84949	+	0.543058i
$610$	2.20748	−	11.3092i	0.0893781	−	0.457898i
$611$	−11.9334	+	26.1304i	−0.482772	+	1.05712i
$612$	−37.3890	+	5.37572i	−1.51136	+	0.217301i
$613$	−28.5393	+	24.7294i	−1.15269	+	0.998813i	−0.152747	+	0.988265i	$0.548812\pi$
$613$	−28.5393	+	24.7294i	−1.15269	+	0.998813i	−0.999944	+	0.0105473i	$0.996643\pi$
$614$	2.54768	+	5.57863i	0.102816	+	0.225135i
$615$	0.570721	+	6.13029i	0.0230137	+	0.247197i
$616$	0.0755908	−	0.525746i	0.00304564	−	0.0211829i
$617$	−5.74990	+	8.94702i	−0.231482	+	0.360193i	−0.937491	−	0.348010i	$-0.886858\pi$
$617$	−5.74990	+	8.94702i	−0.231482	+	0.360193i	0.706009	+	0.708203i	$0.250494\pi$
$618$	−33.1942	−	28.7630i	−1.33527	−	1.15702i
$619$	−15.7414	−	4.62210i	−0.632701	−	0.185778i	−0.0503714	−	0.998731i	$-0.516041\pi$
$619$	−15.7414	−	4.62210i	−0.632701	−	0.185778i	−0.582330	+	0.812953i	$0.697859\pi$
$620$	16.5889	+	8.60198i	0.666227	+	0.345464i
$621$	−44.5152	−	36.5414i	−1.78633	−	1.46636i
$622$		−	22.2136i		−	0.890683i
$623$	−4.46511	+	15.2068i	−0.178891	+	0.609246i
$624$	−5.89186	+	6.79957i	−0.235863	+	0.272201i
$625$	−19.7969	+	15.2671i	−0.791875	+	0.610683i
$626$	−0.384463	+	2.67400i	−0.0153662	+	0.106874i
$627$	2.32831	+	3.62291i	0.0929836	+	0.144685i
$628$	19.0543	−	8.70180i	0.760348	−	0.347239i
$629$	−20.6456	−	23.8262i	−0.823192	−	0.950015i
$630$	8.60653	−	24.6776i	0.342892	−	0.983181i
$631$	12.3285	−	26.9957i	0.490791	−	1.07468i	−0.488563	−	0.872529i	$-0.662479\pi$
$631$	12.3285	−	26.9957i	0.490791	−	1.07468i	0.979354	−	0.202154i	$-0.0647941\pi$
$632$	2.31997	+	7.90111i	0.0922836	+	0.314289i
$633$	11.4716	+	39.0687i	0.455955	+	1.55284i
$634$	−9.42350	+	20.6346i	−0.374255	+	0.819504i
$635$	−28.7107	−	10.0131i	−1.13935	−	0.397357i
$636$	−7.21967	−	8.33194i	−0.286279	−	0.330383i
$637$	−10.6282	+	4.85373i	−0.421104	+	0.192312i
$638$	−1.48779	−	2.31505i	−0.0589022	−	0.0916536i
$639$	−7.98289	+	55.5223i	−0.315798	+	2.19643i
$640$	1.93913	−	1.11344i	0.0766510	−	0.0440127i
$641$	20.3803	−	23.5201i	0.804973	−	0.928988i	−0.193670	−	0.981067i	$-0.562039\pi$
$641$	20.3803	−	23.5201i	0.804973	−	0.928988i	0.998643	+	0.0520783i	$0.0165846\pi$
$642$	1.20853	−	4.11587i	0.0476968	−	0.162440i
$643$		−	33.3763i		−	1.31623i	−0.752915	−	0.658117i	$-0.771353\pi$
$643$		−	33.3763i		−	1.31623i	0.752915	−	0.658117i	$-0.228647\pi$
$644$	−2.10142	+	7.93323i	−0.0828077	+	0.312613i
$645$	−30.6811	−	15.9093i	−1.20807	−	0.626429i
$646$	−23.4822	−	6.89500i	−0.923896	−	0.271280i
$647$	−8.42598	−	7.30115i	−0.331259	−	0.287038i	0.473311	−	0.880896i	$-0.343059\pi$
$647$	−8.42598	−	7.30115i	−0.331259	−	0.287038i	−0.804570	+	0.593858i	$0.797604\pi$
$648$	−9.27786	+	14.4366i	−0.364469	+	0.567125i
$649$	−0.236419	+	1.64433i	−0.00928027	+	0.0645457i
$650$	13.2949	+	5.39568i	0.521467	+	0.211636i
$651$	18.6259	+	40.7851i	0.730008	+	1.59849i
$652$	1.70840	−	1.48034i	0.0669062	−	0.0579746i
$653$	21.6793	−	3.11701i	0.848377	−	0.121978i	0.295604	−	0.955310i	$-0.404479\pi$
$653$	21.6793	−	3.11701i	0.848377	−	0.121978i	0.552772	+	0.833332i	$0.313570\pi$
$654$	−18.1392	+	39.7194i	−0.709300	+	1.55315i
$655$	28.6761	+	5.59734i	1.12047	+	0.218706i
$656$	−0.842619	+	0.247415i	−0.0328987	+	0.00965994i
$657$	−18.8565	−	8.61148i	−0.735663	−	0.335966i
$658$	16.9561	−	2.43792i	0.661018	−	0.0950400i
$659$	−22.0321	−	25.4265i	−0.858251	−	0.990474i	−1.00000		0.000571471i	$-0.999818\pi$
$659$	−22.0321	−	25.4265i	−0.858251	−	0.990474i	0.141749	−	0.989903i	$-0.454727\pi$
$660$	2.17335	+	0.108690i	0.0845977	+	0.00423077i
$661$	−7.41002	+	4.76213i	−0.288216	+	0.185225i	−0.676758	−	0.736206i	$-0.736615\pi$
$661$	−7.41002	+	4.76213i	−0.288216	+	0.185225i	0.388541	+	0.921431i	$0.372979\pi$
$662$	−2.58816	−	0.372121i	−0.100592	−	0.0144629i
$663$	26.9009	−	41.8586i	1.04474	−	1.62565i
$664$	0.463922	−	0.535395i	0.0180037	−	0.0207773i
$665$	11.7143	−	12.2274i	0.454260	−	0.474160i
$666$	−38.9364			−1.50876
$667$	18.6879	+	38.1927i	0.723599	+	1.47883i
$668$			8.38369i			0.324375i
$669$	0.592736	+	0.174043i	0.0229165	+	0.00672889i
$670$	3.52598	−	1.40191i	0.136221	−	0.0541604i
$671$	1.34556	+	0.864737i	0.0519447	+	0.0333828i
$672$	5.31067	+	0.763559i	0.204864	+	0.0294549i
$673$	−17.3056	−	26.9280i	−0.667082	−	1.03800i	−0.995618	−	0.0935085i	$-0.970192\pi$
$673$	−17.3056	−	26.9280i	−0.667082	−	1.03800i	0.328537	−	0.944491i	$-0.393445\pi$
$674$	1.84312	+	4.03586i	0.0709942	+	0.155456i
$675$	58.2839	+	14.4322i	2.24335	+	0.555497i
$676$	0.678178	+	4.71683i	0.0260838	+	0.181417i
$677$	−16.3642	−	7.47329i	−0.628928	−	0.287222i	0.0753378	−	0.997158i	$-0.475996\pi$
$677$	−16.3642	−	7.47329i	−0.628928	−	0.287222i	−0.704266	+	0.709936i	$0.748724\pi$
$678$	−16.7161	−	56.9299i	−0.641980	−	2.18638i
$679$	28.3237	−	8.31658i	1.08696	−	0.319161i
$680$	−9.73864	+	7.62128i	−0.373460	+	0.292263i
$681$	3.11320	+	21.6528i	0.119298	+	0.829738i
$682$	−1.96033	+	1.69863i	−0.0750648	+	0.0650440i
$683$	−0.485409	+	0.221679i	−0.0185737	+	0.00848231i	−0.424680	−	0.905343i	$-0.639613\pi$
$683$	−0.485409	+	0.221679i	−0.0185737	+	0.00848231i	0.406107	+	0.913826i	$0.366886\pi$
$684$	−25.4274	+	16.3412i	−0.972242	+	0.624822i
$685$	8.55034	+	6.11925i	0.326692	+	0.233805i
$686$	15.9386	+	10.2431i	0.608539	+	0.391085i
$687$	10.3517	+	8.96982i	0.394943	+	0.342220i
$688$	1.38884	−	4.72996i	0.0529491	−	0.180328i
$689$	10.0904			0.384416
$690$	−33.1597	−	5.55942i	−1.26237	−	0.211643i
$691$	−21.7415			−0.827084			−0.413542	−	0.910485i	$-0.635709\pi$
$691$	−21.7415			−0.827084			−0.413542	+	0.910485i	$0.635709\pi$
$692$	−1.67297	+	5.69761i	−0.0635967	+	0.216590i
$693$	2.74176	+	2.37575i	0.104151	+	0.0902472i
$694$	24.8452	+	15.9671i	0.943112	+	0.606101i
$695$	−23.5843	+	32.9541i	−0.894605	+	1.25002i
$696$	23.3848	−	15.0285i	0.886398	−	0.569653i
$697$	4.41783	−	2.01756i	0.167337	−	0.0764204i
$698$	−20.5752	+	17.8285i	−0.778782	+	0.674819i
$699$	5.38257	+	37.4366i	0.203588	+	1.41598i
$700$	−1.57945	−	8.40917i	−0.0596976	−	0.317837i
$701$	13.8025	−	4.05279i	0.521315	−	0.153072i	−0.0104800	−	0.999945i	$-0.503336\pi$
$701$	13.8025	−	4.05279i	0.521315	−	0.153072i	0.531795	+	0.846873i	$0.321518\pi$
$702$	−9.70869	−	33.0647i	−0.366431	−	1.24795i
$703$	−22.9473	−	10.4797i	−0.865475	−	0.395249i
$704$	0.0441730	+	0.307230i	0.00166483	+	0.0115792i
$705$	16.3843	+	68.2423i	0.617070	+	2.57016i
$706$	9.50351	+	20.8098i	0.357669	+	0.783187i
$707$	−7.46454	−	11.6151i	−0.280733	−	0.436829i
$708$	−16.6097	−	2.38812i	−0.624233	−	0.0897511i
$709$	5.81078	+	3.73436i	0.218229	+	0.140247i	0.645188	−	0.764024i	$-0.276779\pi$
$709$	5.81078	+	3.73436i	0.218229	+	0.140247i	−0.426960	+	0.904271i	$0.640415\pi$
$710$	6.78473	+	17.0645i	0.254627	+	0.640419i
$711$	−53.9660	−	15.8458i	−2.02388	−	0.594266i
$712$		−	9.26154i		−	0.347091i
$713$	33.1263	−	22.5588i	1.24059	−	0.844835i
$714$	−29.6720			−1.11045
$715$	−1.37781	+	1.43817i	−0.0515273	+	0.0537846i
$716$	−3.07702	+	3.55107i	−0.114994	+	0.132710i
$717$	40.6403	−	63.2376i	1.51774	−	2.36165i
$718$	7.36006	+	1.05822i	0.274675	+	0.0394923i
$719$	41.3227	−	26.5565i	1.54108	−	0.990390i	0.553572	−	0.832802i	$-0.313265\pi$
$719$	41.3227	−	26.5565i	1.54108	−	0.990390i	0.987505	−	0.157588i	$-0.0503719\pi$
$720$	−0.762844	+	15.2537i	−0.0284295	+	0.568472i
$721$	−15.6987	−	18.1173i	−0.584651	−	0.674723i
$722$	−0.577389	+	0.0830160i	−0.0214882	+	0.00308954i
$723$	56.3116	+	25.7166i	2.09425	+	0.956412i
$724$	−7.62423	+	2.23868i	−0.283352	+	0.0831997i
$725$	−34.7153	−	27.5676i	−1.28930	−	1.02384i
$726$	14.2015	−	31.0970i	0.527068	−	1.15412i
$727$	36.9982	−	5.31953i	1.37219	−	0.197291i	0.583513	−	0.812104i	$-0.301678\pi$
$727$	36.9982	−	5.31953i	1.37219	−	0.197291i	0.788673	+	0.614813i	$0.210769\pi$
$728$	−3.71118	+	3.21576i	−0.137546	+	0.119184i
$729$	−1.76868	−	3.87286i	−0.0655066	−	0.143439i
$730$	−6.75732	+	0.629096i	−0.250100	+	0.0232839i
$731$	−3.87990	+	26.9853i	−0.143503	+	0.998087i
$732$	−8.73490	+	13.5918i	−0.322851	+	0.502366i
$733$	−9.14567	−	7.92477i	−0.337803	−	0.292708i	0.469396	−	0.882988i	$-0.344472\pi$
$733$	−9.14567	−	7.92477i	−0.337803	−	0.292708i	−0.807199	+	0.590280i	$0.799017\pi$
$734$	−11.3819	−	3.34203i	−0.420114	−	0.123357i
$735$	−13.1403	+	25.3411i	−0.484688	+	0.934721i
$736$	−0.127829	−	4.79413i	−0.00471185	−	0.176714i
$737$			0.526710i			0.0194016i
$738$	1.68989	−	5.75524i	0.0622058	−	0.211853i
$739$	1.02872	−	1.18720i	0.0378420	−	0.0436720i	−0.736513	−	0.676423i	$-0.763529\pi$
$739$	1.02872	−	1.18720i	0.0378420	−	0.0436720i	0.774355	+	0.632751i	$0.218074\pi$
$740$	−11.0543	+	6.34734i	−0.406364	+	0.233333i
$741$	5.66627	−	39.4098i	0.208156	−	1.44775i
$742$	−3.25318	−	5.06205i	−0.119428	−	0.185834i
$743$	−24.8085	+	11.3296i	−0.910134	+	0.415644i	−0.814761	−	0.579797i	$-0.803132\pi$
$743$	−24.8085	+	11.3296i	−0.910134	+	0.415644i	−0.0953731	+	0.995442i	$0.530404\pi$
$744$	−17.1583	−	19.8017i	−0.629052	−	0.725965i
$745$	−4.87383	+	13.9748i	−0.178563	+	0.511998i
$746$	−6.15649	+	13.4808i	−0.225405	+	0.493569i
$747$	1.36322	+	4.64270i	0.0498776	+	0.169867i
$748$	−0.483614	−	1.64704i	−0.0176827	−	0.0602216i
$749$	0.972597	−	2.12969i	0.0355379	−	0.0778172i
$750$	33.7033	−	9.63654i	1.23067	−	0.351877i
$751$	11.9351	+	13.7738i	0.435518	+	0.502615i	0.930502	−	0.366288i	$-0.119371\pi$
$751$	11.9351	+	13.7738i	0.435518	+	0.502615i	−0.494984	+	0.868902i	$0.664826\pi$
$752$	−9.10591	+	4.15853i	−0.332058	+	0.151646i
$753$	38.8737	+	60.4887i	1.41664	+	2.20433i
$754$	−3.62075	+	25.1829i	−0.131860	+	0.917106i
$755$	−16.8525	−	29.3498i	−0.613326	−	1.06815i
$756$	−13.4574	+	15.5307i	−0.489441	+	0.564845i
$757$	−6.92289	+	23.5772i	−0.251617	+	0.856928i	0.732705	+	0.680546i	$0.238258\pi$
$757$	−6.92289	+	23.5772i	−0.251617	+	0.856928i	−0.984322	+	0.176382i	$0.943561\pi$
$758$		−	16.8889i		−	0.613431i
$759$	2.41770	−	3.99212i	0.0877571	−	0.144905i
$760$	−4.55510	+	8.78451i	−0.165231	+	0.318648i
$761$	−14.8972	−	4.37422i	−0.540024	−	0.158565i	0.000335081	−	1.00000i	$-0.499893\pi$
$761$	−14.8972	−	4.37422i	−0.540024	−	0.158565i	−0.540359	+	0.841435i	$0.681712\pi$
$762$	32.2213	+	27.9199i	1.16725	+	1.01143i
$763$	−12.8848	+	20.0491i	−0.466460	+	0.725826i
$764$	1.83393	−	12.7553i	0.0663493	−	0.461469i
$765$	−7.82961	−	84.1003i	−0.283080	−	3.04065i
$766$	1.80795	+	3.95885i	0.0653237	+	0.143039i
$767$	11.6072	−	10.0577i	0.419110	−	0.363161i
$768$	−3.10340	+	0.446201i	−0.111984	+	0.0161009i
$769$	21.4392	−	46.9453i	0.773117	−	1.69289i	0.0534500	−	0.998571i	$-0.482978\pi$
$769$	21.4392	−	46.9453i	0.773117	−	1.69289i	0.719667	−	0.694319i	$-0.244294\pi$
$770$	1.16569	+	0.227534i	0.0420087	+	0.00819976i
$771$	−5.35803	+	1.57326i	−0.192965	+	0.0566595i
$772$	7.81996	+	3.57126i	0.281447	+	0.128532i
$773$	−28.1584	+	4.04856i	−1.01279	+	0.145617i	−0.628674	−	0.777669i	$-0.716402\pi$
$773$	−28.1584	+	4.04856i	−1.01279	+	0.145617i	−0.384113	+	0.923286i	$0.625493\pi$
$774$	22.0494	+	25.4464i	0.792551	+	0.914652i
$775$	−21.0634	+	36.0869i	−0.756619	+	1.29628i
$776$	−14.5119	+	9.32621i	−0.520946	+	0.334791i
$777$	−30.2742	−	4.35277i	−1.08608	−	0.156155i
$778$	−4.08327	+	6.35369i	−0.146392	+	0.227791i
$779$	2.54496	−	2.93705i	0.0911828	−	0.105231i
$780$	−14.5273	−	13.9176i	−0.520160	−	0.498330i
$781$	−2.54909			−0.0912136
$782$	4.47298	+	26.1428i	0.159954	+	0.934866i
$783$			106.470i			3.80492i
$784$	−3.90672	−	1.14712i	−0.139526	−	0.0409684i
$785$	17.3054	+	43.5254i	0.617656	+	1.55349i
$786$	−34.4637	−	22.1485i	−1.22928	−	0.790010i
$787$	9.64084	+	1.38614i	0.343659	+	0.0494107i	0.311983	−	0.950088i	$-0.399007\pi$
$787$	9.64084	+	1.38614i	0.343659	+	0.0494107i	0.0316754	+	0.999498i	$0.489916\pi$
$788$	4.44999	+	6.92431i	0.158524	+	0.246668i
$789$	6.52217	+	14.2816i	0.232196	+	0.508437i
$790$	−17.9045	+	4.29869i	−0.637012	+	0.152941i
$791$	−4.60872	−	32.0543i	−0.163867	−	1.13972i
$792$	−1.92844	−	0.880687i	−0.0685240	−	0.0312939i
$793$	−4.16609	−	14.1884i	−0.147942	−	0.503844i
$794$	−8.31417	+	2.44126i	−0.295059	+	0.0866371i
$795$	19.4139	−	15.1930i	0.688540	−	0.538839i
$796$	−1.06248	−	7.38968i	−0.0376584	−	0.261920i
$797$	20.4809	−	17.7468i	0.725470	−	0.628623i	−0.211766	−	0.977320i	$-0.567921\pi$
$797$	20.4809	−	17.7468i	0.725470	−	0.628623i	0.937235	+	0.348697i	$0.113376\pi$
$798$	−21.5974	+	9.86320i	−0.764540	+	0.349153i
$799$	46.5735	−	29.9310i	1.64765	−	1.05888i
$800$	2.27005	+	4.45498i	0.0802584	+	0.157507i
$801$	53.2161	+	34.1999i	1.88030	+	1.20839i
$802$	23.8108	+	20.6322i	0.840789	+	0.728548i
$803$	0.265404	−	0.903883i	0.00936591	−	0.0318974i
$804$	−5.32041			−0.187636
$805$	−17.4824	−	5.57910i	−0.616173	−	0.196637i
$806$	23.9810			0.844693
$807$	8.74795	−	29.7928i	0.307942	−	1.04876i
$808$	6.09762	+	5.28362i	0.214514	+	0.185877i
$809$	22.9016	+	14.7179i	0.805176	+	0.517455i	0.877301	−	0.479940i	$-0.159342\pi$
$809$	22.9016	+	14.7179i	0.805176	+	0.517455i	−0.0721248	+	0.997396i	$0.522978\pi$
$810$	−31.2048	−	22.3324i	−1.09642	−	0.784681i
$811$	−31.4787	+	20.2302i	−1.10537	+	0.710377i	−0.960279	−	0.279042i	$-0.909983\pi$
$811$	−31.4787	+	20.2302i	−1.10537	+	0.710377i	−0.145089	+	0.989419i	$0.546347\pi$
$812$	13.8008	−	6.30259i	0.484312	−	0.221178i
$813$	−47.7165	+	41.3466i	−1.67349	+	1.45009i
$814$	−0.251815	−	1.75141i	−0.00882609	−	0.0613868i
$815$	3.11520	+	3.98067i	0.109121	+	0.139437i
$816$	16.6371	−	4.88509i	0.582414	−	0.171012i
$817$	6.14605	+	20.9315i	0.215023	+	0.732302i
$818$	−15.0276	−	6.86286i	−0.525427	−	0.239954i
$819$	−4.77328	−	33.1989i	−0.166792	−	1.16006i
$820$	−0.458437	−	1.90943i	−0.0160093	−	0.0666804i
$821$	22.8751	+	50.0896i	0.798348	+	1.74814i	0.651035	+	0.759048i	$0.274335\pi$
$821$	22.8751	+	50.0896i	0.798348	+	1.74814i	0.147313	+	0.989090i	$0.452937\pi$
$822$	−7.97060	−	12.4025i	−0.278007	−	0.432587i
$823$	−6.23935	−	0.897083i	−0.217490	−	0.0312704i	0.0327083	−	0.999465i	$-0.489587\pi$
$823$	−6.23935	−	0.897083i	−0.217490	−	0.0312704i	−0.250198	+	0.968195i	$0.580496\pi$
$824$	11.7850	+	7.57378i	0.410551	+	0.263845i
$825$	−0.485472	+	4.84156i	−0.0169020	+	0.168562i
$826$	−8.78777	−	2.58032i	−0.305766	−	0.0897809i
$827$		−	5.83142i		−	0.202778i	−0.994847	−	0.101389i	$-0.967671\pi$
$827$		−	5.83142i		−	0.202778i	0.994847	−	0.101389i	$-0.0323287\pi$
$828$	28.0187	+	16.9687i	0.973717	+	0.589702i
$829$	−4.91689			−0.170771			−0.0853854	−	0.996348i	$-0.527212\pi$
$829$	−4.91689			−0.170771			−0.0853854	+	0.996348i	$0.527212\pi$
$830$	1.14387	+	1.09586i	0.0397043	+	0.0380380i
$831$	15.6121	−	18.0173i	0.541576	−	0.625013i
$832$	1.55143	−	2.41407i	0.0537861	−	0.0836928i
$833$	22.2885	+	3.20461i	0.772252	+	0.111033i
$834$	47.8008	−	30.7197i	1.65520	−	1.06374i
$835$	−18.7231	−	0.936350i	−0.647940	−	0.0324037i
$836$	−0.899496	−	1.03807i	−0.0311097	−	0.0359025i
$837$	99.3347	−	14.2822i	3.43351	−	0.493664i
$838$	−25.1824	−	11.5004i	−0.869912	−	0.397275i
$839$	19.7865	−	5.80984i	0.683105	−	0.200578i	0.0782746	−	0.996932i	$-0.475059\pi$
$839$	19.7865	−	5.80984i	0.683105	−	0.200578i	0.604831	+	0.796354i	$0.293241\pi$
$840$	−2.29837	+	11.7749i	−0.0793014	+	0.406273i
$841$	20.6067	−	45.1225i	0.710577	−	1.55595i
$842$	−2.12828	+	0.306000i	−0.0733452	+	0.0105455i
$843$	−68.4311	+	59.2959i	−2.35689	+	2.04226i
$844$	−5.39496	−	11.8133i	−0.185702	−	0.406631i
$845$	−10.6097	+	0.987750i	−0.364986	+	0.0339796i
$846$	9.73062	−	67.6779i	0.334545	−	2.32681i
$847$	10.0877	−	15.6968i	0.346618	−	0.539348i
$848$	2.65745	+	2.30270i	0.0912573	+	0.0790749i
$849$	9.35786	+	2.74772i	0.321161	+	0.0943014i
$850$	−15.9328	−	22.6003i	−0.546489	−	0.775183i
$851$	0.728708	+	27.3296i	0.0249798	+	0.936846i
$852$		−	25.7489i		−	0.882143i
$853$	3.53359	−	12.0343i	0.120988	−	0.412047i	−0.876619	−	0.481185i	$-0.840207\pi$
$853$	3.53359	−	12.0343i	0.120988	−	0.412047i	0.997607	+	0.0691378i	$0.0220248\pi$
$854$	−5.77469	+	6.66435i	−0.197606	+	0.228049i
$855$	−33.6546	−	58.6116i	−1.15096	−	2.00447i
$856$	−0.194710	+	1.35424i	−0.00665507	+	0.0462870i
$857$	3.42244	+	5.32543i	0.116908	+	0.181913i	0.894776	−	0.446515i	$-0.147335\pi$
$857$	3.42244	+	5.32543i	0.116908	+	0.181913i	−0.777868	+	0.628428i	$0.783699\pi$
$858$	2.54025	−	1.16009i	0.0867227	−	0.0396049i
$859$	−20.7048	−	23.8947i	−0.706440	−	0.815275i	0.283168	−	0.959070i	$-0.408615\pi$
$859$	−20.7048	−	23.8947i	−0.706440	−	0.815275i	−0.989607	+	0.143795i	$0.954069\pi$
$860$	10.4082	+	3.62995i	0.354917	+	0.123780i
$861$	1.95733	−	4.28596i	0.0667056	−	0.146065i
$862$	7.22506	+	24.6063i	0.246086	+	0.838093i
$863$	−12.5462	−	42.7283i	−0.427077	−	1.45449i	−0.839431	−	0.543466i	$-0.817112\pi$
$863$	−12.5462	−	42.7283i	−0.427077	−	1.45449i	0.412354	−	0.911023i	$-0.364707\pi$
$864$	4.98865	−	10.9236i	0.169717	−	0.371629i
$865$	−12.5375	−	4.37255i	−0.426287	−	0.148671i
$866$	5.93381	+	6.84799i	0.201639	+	0.232704i
$867$	−38.7442	+	17.6939i	−1.31582	+	0.600915i
$868$	−7.73150	−	12.0305i	−0.262424	−	0.408340i
$869$	0.363750	−	2.52994i	0.0123394	−	0.0858223i
$870$	30.9510	+	53.9032i	1.04934	+	1.82749i
$871$	3.18887	−	3.68015i	0.108051	−	0.124697i
$872$	3.92368	−	13.3628i	0.132872	−	0.452522i
$873$		−	117.823i		−	3.98769i
$874$	11.9458	+	17.5418i	0.404074	+	0.593359i
$875$	18.9564	−	2.58815i	0.640844	−	0.0874956i
$876$	9.13032	+	2.68090i	0.308485	+	0.0905794i
$877$	31.2414	+	27.0708i	1.05495	+	0.914116i	0.996451	−	0.0841717i	$-0.0268244\pi$
$877$	31.2414	+	27.0708i	1.05495	+	0.914116i	0.0584948	+	0.998288i	$0.481370\pi$
$878$	2.99557	−	4.66120i	0.101096	−	0.157308i
$879$	4.40686	−	30.6504i	0.148640	−	1.03381i
$880$	−0.691064	+	0.0643370i	−0.0232958	+	0.00216880i
$881$	−10.3120	−	22.5801i	−0.347420	−	0.760744i	−0.999995	−	0.00302018i	$-0.999039\pi$
$881$	−10.3120	−	22.5801i	−0.347420	−	0.760744i	0.652575	−	0.757724i	$-0.273689\pi$
$882$	21.0175	−	18.2117i	0.707695	−	0.613221i
$883$	11.8504	−	1.70383i	0.398797	−	0.0573383i	0.0600011	−	0.998198i	$-0.480890\pi$
$883$	11.8504	−	1.70383i	0.398797	−	0.0573383i	0.338796	+	0.940860i	$0.389980\pi$
$884$	−6.59264	+	14.4359i	−0.221734	+	0.485531i
$885$	7.18843	−	36.8274i	0.241637	−	1.23794i
$886$	2.72923	−	0.801375i	0.0916904	−	0.0269227i
$887$	6.75953	+	3.08697i	0.226963	+	0.103650i	0.525651	−	0.850700i	$-0.323822\pi$
$887$	6.75953	+	3.08697i	0.226963	+	0.103650i	−0.298688	+	0.954351i	$0.596549\pi$
$888$	17.6914	−	2.54363i	0.593683	−	0.0853587i
$889$	15.2386	+	17.5863i	0.511085	+	0.589824i
$890$	20.6836	+	1.03440i	0.693316	+	0.0346730i
$891$	4.48098	−	2.87975i	0.150119	−	0.0964753i
$892$	−0.195027	−	0.0280407i	−0.00653000	−	0.000938873i
$893$	23.9502	−	37.2673i	0.801464	−	1.24710i
$894$	13.5899	−	15.6836i	0.454514	−	0.524538i
$895$	−7.58687	−	7.26845i	−0.253601	−	0.242958i
$896$	−1.71124			−0.0571686
$897$	−41.0621	+	13.2556i	−1.37102	+	0.442591i
$898$			28.9236i			0.965194i
$899$	−71.0904	−	20.8740i	−2.37100	−	0.696188i
$900$	−33.9805	−	3.40728i	−1.13268	−	0.113576i
$901$	−16.3595	−	10.5136i	−0.545012	−	0.350258i
$902$	0.269807	+	0.0387924i	0.00898360	+	0.00129165i
$903$	14.2994	+	22.2503i	0.475854	+	0.740443i
$904$	7.86141	+	17.2141i	0.261467	+	0.572532i
$905$	−4.14805	−	17.2770i	−0.137886	−	0.574308i
$906$	6.75348	+	46.9715i	0.224369	+	1.56052i
$907$	19.9778	+	9.12357i	0.663353	+	0.302943i	0.718492	−	0.695535i	$-0.244833\pi$
$907$	19.9778	+	9.12357i	0.663353	+	0.302943i	−0.0551386	+	0.998479i	$0.517560\pi$
$908$	−1.96568	−	6.69450i	−0.0652335	−	0.222165i
$909$	−52.8758	+	15.5257i	−1.75378	+	0.514956i
$910$	−6.76719	−	8.64726i	−0.224330	−	0.286654i
$911$	2.28261	+	15.8759i	0.0756262	+	0.525992i	0.992056	+	0.125796i	$0.0401486\pi$
$911$	2.28261	+	15.8759i	0.0756262	+	0.525992i	−0.916430	+	0.400195i	$0.868942\pi$
$912$	10.4858	−	9.08601i	0.347220	−	0.300868i
$913$	−0.200018	+	0.0913451i	−0.00661963	+	0.00302308i
$914$	23.0263	−	14.7981i	0.761643	−	0.489478i
$915$	−29.3786	−	21.0255i	−0.971227	−	0.695081i
$916$	−3.67520	−	2.36191i	−0.121432	−	0.0780396i
$917$	−16.8983	−	14.6425i	−0.558032	−	0.483537i
$918$	−18.7108	+	63.7231i	−0.617548	+	2.10317i
$919$	−39.4548			−1.30149			−0.650746	−	0.759295i	$-0.725544\pi$
$919$	−39.4548			−1.30149			−0.650746	+	0.759295i	$0.725544\pi$
$920$	10.7209	+	0.249964i	0.353457	+	0.00824108i
$921$	19.2284			0.633597
$922$	3.70944	−	12.6332i	0.122164	−	0.416052i
$923$	17.8106	+	15.4330i	0.586243	+	0.507983i
$924$	−1.40096	−	0.900344i	−0.0460883	−	0.0296191i
$925$	−12.9407	−	25.3962i	−0.425489	−	0.835023i
$926$	−11.0738	+	7.11670i	−0.363908	+	0.233869i
$927$	−87.0366	+	39.7483i	−2.85866	+	1.30550i
$928$	−6.70044	+	5.80597i	−0.219953	+	0.190590i
$929$	2.96126	+	20.5960i	0.0971557	+	0.675733i	0.978950	+	0.204099i	$0.0654265\pi$
$929$	2.96126	+	20.5960i	0.0971557	+	0.675733i	−0.881794	+	0.471634i	$0.843664\pi$
$930$	46.1390	−	36.1076i	1.51296	−	1.18401i
$931$	17.2884	−	5.07634i	0.566605	−	0.166370i
$932$	−3.39857	−	11.5745i	−0.111324	−	0.379134i
$933$	−63.3527	−	28.9322i	−2.07407	−	0.947198i
$934$	−5.42187	−	37.7099i	−0.177409	−	1.23391i
$935$	3.73230	−	0.896090i	0.122059	−	0.0293053i
$936$	8.14212	+	17.8288i	0.266134	+	0.582751i
$937$	5.72819	+	8.91324i	0.187132	+	0.291183i	0.922125	−	0.386891i	$-0.126451\pi$
$937$	5.72819	+	8.91324i	0.187132	+	0.291183i	−0.734993	+	0.678074i	$0.762815\pi$
$938$	−2.87430	−	0.413263i	−0.0938494	−	0.0134935i
$939$	7.12545	+	4.57925i	0.232530	+	0.149438i
$940$	−8.27014	−	20.8005i	−0.269742	−	0.678437i
$941$	−21.8735	−	6.42263i	−0.713055	−	0.209372i	−0.0949668	−	0.995480i	$-0.530274\pi$
$941$	−21.8735	−	6.42263i	−0.713055	−	0.209372i	−0.618088	+	0.786109i	$0.712093\pi$
$942$		−	65.6761i		−	2.13984i
$943$	−4.07125	−	1.07843i	−0.132578	−	0.0351185i
$944$	5.35211			0.174196
$945$	−33.1813	−	31.7887i	−1.07939	−	1.03409i
$946$	−1.00201	+	1.15638i	−0.0325782	+	0.0375972i
$947$	30.2766	−	47.1113i	0.983858	−	1.53091i	0.142952	−	0.989730i	$-0.454340\pi$
$947$	30.2766	−	47.1113i	0.983858	−	1.53091i	0.840905	−	0.541183i	$-0.182023\pi$
$948$	25.5555	+	3.67432i	0.830003	+	0.119336i
$949$	−7.32678	+	4.70864i	−0.237837	+	0.152849i
$950$	−19.1095	−	11.1539i	−0.619994	−	0.361881i
$951$	46.5757	+	53.7512i	1.51032	+	1.74300i
$952$	9.36748	−	1.34684i	0.303602	−	0.0436513i
$953$	17.4059	+	7.94902i	0.563833	+	0.257494i	0.676877	−	0.736096i	$-0.263333\pi$
$953$	17.4059	+	7.94902i	0.563833	+	0.257494i	−0.113044	+	0.993590i	$0.536060\pi$
$954$	−23.0442	+	6.76639i	−0.746084	+	0.219070i
$955$	28.2812	+	5.52027i	0.915158	+	0.178632i
$956$	−9.95978	+	21.8089i	−0.322122	+	0.705349i
$957$	−8.54025	+	1.22790i	−0.276067	+	0.0396924i
$958$	16.7975	−	14.5551i	0.542701	−	0.470253i
$959$	−3.34268	−	7.31946i	−0.107941	−	0.236358i
$960$	−0.649882	−	6.98059i	−0.0209748	−	0.225297i
$961$	−5.52711	+	38.4419i	−0.178294	+	1.24006i
$962$	−8.84413	+	13.7617i	−0.285146	+	0.443696i
$963$	−7.06235	−	6.11956i	−0.227581	−	0.197200i
$964$	−18.9449	−	5.56273i	−0.610175	−	0.179164i
$965$	−8.84899	+	17.0653i	−0.284859	+	0.549351i
$966$	19.8884	+	16.3259i	0.639899	+	0.525277i
$967$		−	11.5442i		−	0.371237i	−0.982622	−	0.185618i	$-0.940571\pi$
$967$		−	11.5442i		−	0.371237i	0.982622	−	0.185618i	$-0.0594288\pi$
$968$	−3.07192	+	10.4620i	−0.0987351	+	0.336261i
$969$	−50.2490	+	57.9904i	−1.61423	+	1.86292i
$970$	−19.2072	−	33.4506i	−0.616707	−	1.07403i
$971$	7.79067	−	54.1853i	0.250014	−	1.73889i	−0.348082	−	0.937464i	$-0.613167\pi$
$971$	7.79067	−	54.1853i	0.250014	−	1.73889i	0.598096	−	0.801424i	$-0.295924\pi$
$972$	9.61162	+	14.9560i	0.308293	+	0.479713i
$973$	28.2101	−	12.8831i	0.904374	−	0.413014i
$974$	13.3475	+	15.4038i	0.427680	+	0.493569i
$975$	32.7043	−	30.8890i	1.04738	−	0.989241i
$976$	2.14067	−	4.68742i	0.0685213	−	0.150041i
$977$	−2.80740	−	9.56112i	−0.0898166	−	0.305887i	0.902317	−	0.431074i	$-0.141865\pi$
$977$	−2.80740	−	9.56112i	−0.0898166	−	0.305887i	−0.992133	+	0.125187i	$0.960047\pi$
$978$	−1.99678	−	6.80041i	−0.0638500	−	0.217453i
$979$	−1.19419	+	2.61491i	−0.0381664	+	0.0835728i
$980$	2.99816	−	8.59667i	0.0957726	−	0.274610i
$981$	62.2927	+	71.8897i	1.98885	+	2.29526i
$982$	−7.50483	+	3.42734i	−0.239489	+	0.109371i
$983$	−14.6004	−	22.7186i	−0.465679	−	0.724611i	0.526398	−	0.850238i	$-0.323542\pi$
$983$	−14.6004	−	22.7186i	−0.465679	−	0.724611i	−0.992078	+	0.125627i	$0.959906\pi$
$984$	−0.391851	+	2.72538i	−0.0124917	+	0.0868820i
$985$	−15.9609	+	9.16469i	−0.508557	+	0.292011i
$986$	32.1091	−	37.0559i	1.02256	−	1.18010i
$987$	15.1317	−	51.5338i	0.481647	−	1.64034i
$988$			12.6989i			0.404006i
$989$	17.4482	−	15.9528i	0.554822	−	0.507270i
$990$	2.18220	−	4.20837i	0.0693549	−	0.133751i
$991$	−33.0254	−	9.69714i	−1.04909	−	0.308040i	−0.288639	−	0.957438i	$-0.593203\pi$
$991$	−33.0254	−	9.69714i	−1.04909	−	0.308040i	−0.760448	+	0.649398i	$0.775021\pi$
$992$	6.31570	+	5.47258i	0.200524	+	0.173755i
$993$	−4.43224	+	6.89670i	−0.140653	+	0.218860i
$994$	2.00004	−	13.9106i	0.0634375	−	0.441218i
$995$	16.6219	−	1.54747i	0.526948	−	0.0490581i
$996$	−0.922697	−	2.02042i	−0.0292368	−	0.0640196i
$997$	−38.8804	+	33.6900i	−1.23135	+	1.06697i	−0.235895	+	0.971779i	$0.575802\pi$
$997$	−38.8804	+	33.6900i	−1.23135	+	1.06697i	−0.995459	+	0.0951954i	$0.969652\pi$
$998$	−5.40543	+	0.777183i	−0.171106	+	0.0246013i
$999$	−28.4385	+	62.2715i	−0.899753	+	1.97018i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.j.a.179.6	yes	120
5.4	even	2	inner	230.2.j.a.179.7	yes	120
23.9	even	11	inner	230.2.j.a.9.7	yes	120
115.9	even	22	inner	230.2.j.a.9.6	✓	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.j.a.9.6	✓	120	115.9	even	22	inner
230.2.j.a.9.7	yes	120	23.9	even	11	inner
230.2.j.a.179.6	yes	120	1.1	even	1	trivial
230.2.j.a.179.7	yes	120	5.4	even	2	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:	\( N \)	\(=\)	\( 230 = 2 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	230.j (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.281733 + 0.959493i) q^{2} +(2.36951 + 2.05319i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(1.30136 - 1.81837i) q^{5} +(-2.63759 + 1.69508i) q^{6} +(-1.55660 + 0.710876i) q^{7} +(0.755750 - 0.654861i) q^{8} +(0.972037 + 6.76066i) q^{9} +O(q^{10})\)	\(q+(-0.281733 + 0.959493i) q^{2} +(2.36951 + 2.05319i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(1.30136 - 1.81837i) q^{5} +(-2.63759 + 1.69508i) q^{6} +(-1.55660 + 0.710876i) q^{7} +(0.755750 - 0.654861i) q^{8} +(0.972037 + 6.76066i) q^{9} +(1.37808 + 1.76094i) q^{10} +(-0.297817 + 0.0874469i) q^{11} +(-0.883320 - 3.00831i) q^{12} +(2.61029 + 1.19208i) q^{13} +(-0.243535 - 1.69382i) q^{14} +(6.81705 - 1.63671i) q^{15} +(0.415415 + 0.909632i) q^{16} +(-2.98994 - 4.65244i) q^{17} +(-6.76066 - 0.972037i) q^{18} +(-3.72280 - 2.39250i) q^{19} +(-2.07786 + 0.826143i) q^{20} +(-5.14795 - 1.51157i) q^{21} -0.310390i q^{22} +(-0.555747 + 4.76352i) q^{23} +3.13531 q^{24} +(-1.61294 - 4.73270i) q^{25} +(-1.87919 + 2.16871i) q^{26} +(-6.49246 + 10.1025i) q^{27} +(1.69382 + 0.243535i) q^{28} +(7.45852 - 4.79330i) q^{29} +(-0.350174 + 7.00202i) q^{30} +(-5.47258 - 6.31570i) q^{31} +(-0.989821 + 0.142315i) q^{32} +(-0.885225 - 0.404269i) q^{33} +(5.30635 - 1.55809i) q^{34} +(-0.733060 + 3.75558i) q^{35} +(2.83736 - 6.21295i) q^{36} +(5.64261 - 0.811285i) q^{37} +(3.34442 - 2.89796i) q^{38} +(3.73754 + 8.18407i) q^{39} +(-0.207278 - 2.22644i) q^{40} +(-0.124980 + 0.869253i) q^{41} +(2.90069 - 4.51356i) q^{42} +(-3.72558 - 3.22823i) q^{43} +(0.297817 + 0.0874469i) q^{44} +(13.5584 + 7.03052i) q^{45} +(-4.41399 - 1.87528i) q^{46} +10.0105i q^{47} +(-0.883320 + 3.00831i) q^{48} +(-2.66636 + 3.07715i) q^{49} +(4.99541 - 0.214245i) q^{50} +(2.46766 - 17.1630i) q^{51} +(-1.55143 - 2.41407i) q^{52} +(3.19855 - 1.46073i) q^{53} +(-7.86411 - 9.07566i) q^{54} +(-0.228555 + 0.655340i) q^{55} +(-0.710876 + 1.55660i) q^{56} +(-3.90896 - 13.3127i) q^{57} +(2.49783 + 8.50682i) q^{58} +(2.22335 - 4.86845i) q^{59} +(-6.61973 - 2.30869i) q^{60} +(-3.37456 - 3.89445i) q^{61} +(7.60167 - 3.47157i) q^{62} +(-6.31907 - 9.83266i) q^{63} +(0.142315 - 0.989821i) q^{64} +(5.56456 - 3.19515i) q^{65} +(0.637290 - 0.735472i) q^{66} +(0.478081 - 1.62819i) q^{67} +5.53037i q^{68} +(-11.0973 + 10.1462i) q^{69} +(-3.39693 - 1.76144i) q^{70} +(7.87988 + 2.31374i) q^{71} +(5.16191 + 4.47282i) q^{72} +(-1.64086 + 2.55323i) q^{73} +(-0.811285 + 5.64261i) q^{74} +(5.89528 - 14.5259i) q^{75} +(1.83834 + 4.02540i) q^{76} +(0.401418 - 0.347831i) q^{77} +(-8.90555 + 1.28042i) q^{78} +(-3.42080 + 7.49052i) q^{79} +(2.19465 + 0.428379i) q^{80} +(-16.4657 + 4.83477i) q^{81} +(-0.798832 - 0.364814i) q^{82} +(0.701218 - 0.100820i) q^{83} +(3.51351 + 4.05481i) q^{84} +(-12.3508 - 0.617671i) q^{85} +(4.14709 - 2.66517i) q^{86} +(27.5146 + 3.95600i) q^{87} +(-0.167809 + 0.261116i) q^{88} +(6.06502 - 6.99941i) q^{89} +(-10.5656 + 11.0284i) q^{90} -4.91060 q^{91} +(3.04288 - 3.70687i) q^{92} -26.2014i q^{93} +(-9.60505 - 2.82030i) q^{94} +(-9.19515 + 3.65593i) q^{95} +(-2.63759 - 1.69508i) q^{96} +(-17.0747 - 2.45497i) q^{97} +(-2.20130 - 3.42529i) q^{98} +(-0.880687 - 1.92844i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) \) 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9	\( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) \) 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9 + 8 * q^11 - 6 * q^15 - 12 * q^16 - 16 * q^19 - 22 * q^20 + 4 * q^24 - 52 * q^25 - 4 * q^26 - 8 * q^29 - 44 * q^30 + 12 * q^31 + 16 * q^35 - 8 * q^36 - 36 * q^39 - 28 * q^41 - 8 * q^44 + 16 * q^45 - 4 * q^46 - 58 * q^49 + 12 * q^50 - 24 * q^51 - 6 * q^54 - 36 * q^55 + 22 * q^56 - 102 * q^59 - 38 * q^60 + 72 * q^61 + 12 * q^64 - 138 * q^65 + 80 * q^66 - 212 * q^69 - 108 * q^70 + 176 * q^71 - 88 * q^74 - 100 * q^75 + 16 * q^76 - 104 * q^79 - 22 * q^80 - 28 * q^81 - 22 * q^84 + 2 * q^85 + 62 * q^86 + 48 * q^89 + 24 * q^90 - 56 * q^91 + 24 * q^94 + 18 * q^95 - 4 * q^96 + 188 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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