LMFDB - Embedded newform 570.2.u.a.301.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [570,2,Mod(61,570)]

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([0, 0, 2]))

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

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

chi := DirichletCharacter("570.61");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 570 = 2 \cdot 3 \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	570.u (of order $9$, degree $6$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$4.55147291521$
Analytic rank:	$0$
Dimension:	$6$
Coefficient field:	$\Q(\zeta_{18})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{6} - x^{3} + 1 $ x^6 - x^3 + 1
Coefficient ring:	$\Z[a_1, a_2]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			301.1
Root			$0.939693 - 0.342020i$ of defining polynomial
Character	$\chi$	$=$	570.301
Dual form			570.2.u.a.481.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.766044 - 0.642788i) q^{2} +(0.939693 - 0.342020i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.173648 + 0.984808i) q^{5} +(-0.939693 - 0.342020i) q^{6} +(-2.35844 - 4.08494i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.766044 - 0.642788i) q^{9} +O(q^{10})$	\(q+(-0.766044 - 0.642788i) q^{2} +(0.939693 - 0.342020i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.173648 + 0.984808i) q^{5} +(-0.939693 - 0.342020i) q^{6} +(-2.35844 - 4.08494i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.766044 - 0.642788i) q^{9} +(0.766044 - 0.642788i) q^{10} +(0.766044 - 1.32683i) q^{11} +(0.500000 + 0.866025i) q^{12} +(-2.24510 - 0.817150i) q^{13} +(-0.819078 + 4.64522i) q^{14} +(0.173648 + 0.984808i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-0.184793 - 0.155059i) q^{17} -1.00000 q^{18} +(-2.23396 + 3.74292i) q^{19} -1.00000 q^{20} +(-3.61334 - 3.03195i) q^{21} +(-1.43969 + 0.524005i) q^{22} +(-1.16385 - 6.60051i) q^{23} +(0.173648 - 0.984808i) q^{24} +(-0.939693 - 0.342020i) q^{25} +(1.19459 + 2.06910i) q^{26} +(0.500000 - 0.866025i) q^{27} +(3.61334 - 3.03195i) q^{28} +(1.34730 - 1.13052i) q^{29} +(0.500000 - 0.866025i) q^{30} +(-3.41147 - 5.90885i) q^{31} +(0.939693 + 0.342020i) q^{32} +(0.266044 - 1.50881i) q^{33} +(0.0418891 + 0.237565i) q^{34} +(4.43242 - 1.61327i) q^{35} +(0.766044 + 0.642788i) q^{36} -9.39693 q^{37} +(4.11721 - 1.43128i) q^{38} -2.38919 q^{39} +(0.766044 + 0.642788i) q^{40} +(11.2626 - 4.09927i) q^{41} +(0.819078 + 4.64522i) q^{42} +(1.29086 - 7.32083i) q^{43} +(1.43969 + 0.524005i) q^{44} +(0.500000 + 0.866025i) q^{45} +(-3.35117 + 5.80439i) q^{46} +(4.17752 - 3.50535i) q^{47} +(-0.766044 + 0.642788i) q^{48} +(-7.62449 + 13.2060i) q^{49} +(0.500000 + 0.866025i) q^{50} +(-0.226682 - 0.0825054i) q^{51} +(0.414878 - 2.35289i) q^{52} +(1.04576 + 5.93080i) q^{53} +(-0.939693 + 0.342020i) q^{54} +(1.17365 + 0.984808i) q^{55} -4.71688 q^{56} +(-0.819078 + 4.28125i) q^{57} -1.75877 q^{58} +(-7.24170 - 6.07650i) q^{59} +(-0.939693 + 0.342020i) q^{60} +(0.453363 + 2.57115i) q^{61} +(-1.18479 + 6.71929i) q^{62} +(-4.43242 - 1.61327i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(1.19459 - 2.06910i) q^{65} +(-1.17365 + 0.984808i) q^{66} +(-3.16250 + 2.65366i) q^{67} +(0.120615 - 0.208911i) q^{68} +(-3.35117 - 5.80439i) q^{69} +(-4.43242 - 1.61327i) q^{70} +(-1.26857 + 7.19442i) q^{71} +(-0.173648 - 0.984808i) q^{72} +(4.10607 - 1.49449i) q^{73} +(7.19846 + 6.04023i) q^{74} -1.00000 q^{75} +(-4.07398 - 1.55007i) q^{76} -7.22668 q^{77} +(1.83022 + 1.53574i) q^{78} +(9.06418 - 3.29909i) q^{79} +(-0.173648 - 0.984808i) q^{80} +(0.173648 - 0.984808i) q^{81} +(-11.2626 - 4.09927i) q^{82} +(4.94356 + 8.56250i) q^{83} +(2.35844 - 4.08494i) q^{84} +(0.184793 - 0.155059i) q^{85} +(-5.69459 + 4.77833i) q^{86} +(0.879385 - 1.52314i) q^{87} +(-0.766044 - 1.32683i) q^{88} +(4.75150 + 1.72940i) q^{89} +(0.173648 - 0.984808i) q^{90} +(1.95693 + 11.0983i) q^{91} +(6.29813 - 2.29233i) q^{92} +(-5.22668 - 4.38571i) q^{93} -5.45336 q^{94} +(-3.29813 - 2.84997i) q^{95} +1.00000 q^{96} +(-4.41147 - 3.70167i) q^{97} +(14.3293 - 5.21546i) q^{98} +(-0.266044 - 1.50881i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 6 q - 6 q^{7} + 3 q^{8}+O(q^{10}) $ 6 * q - 6 * q^7 + 3 * q^8	$ 6 q - 6 q^{7} + 3 q^{8} + 3 q^{12} - 12 q^{13} + 12 q^{14} + 6 q^{17} - 6 q^{18} - 18 q^{19} - 6 q^{20} - 15 q^{21} - 3 q^{22} - 3 q^{23} + 3 q^{26} + 3 q^{27} + 15 q^{28} + 6 q^{29} + 3 q^{30} - 3 q^{33} - 6 q^{34} + 3 q^{35} - 6 q^{38} - 6 q^{39} + 21 q^{41} - 12 q^{42} - 24 q^{43} + 3 q^{44} + 3 q^{45} + 6 q^{46} - 33 q^{49} + 3 q^{50} + 12 q^{51} + 24 q^{52} - 24 q^{53} + 6 q^{55} - 12 q^{56} + 12 q^{57} + 12 q^{58} - 24 q^{61} - 3 q^{63} - 3 q^{64} + 3 q^{65} - 6 q^{66} - 24 q^{67} + 12 q^{68} + 6 q^{69} - 3 q^{70} + 12 q^{71} + 15 q^{74} - 6 q^{75} - 9 q^{76} - 30 q^{77} - 12 q^{78} + 36 q^{79} - 21 q^{82} + 6 q^{84} - 6 q^{85} - 30 q^{86} - 6 q^{87} - 12 q^{89} + 24 q^{91} + 24 q^{92} - 18 q^{93} - 6 q^{94} - 6 q^{95} + 6 q^{96} - 6 q^{97} + 6 q^{98} + 3 q^{99}+O(q^{100}) $ 6 * q - 6 * q^7 + 3 * q^8 + 3 * q^12 - 12 * q^13 + 12 * q^14 + 6 * q^17 - 6 * q^18 - 18 * q^19 - 6 * q^20 - 15 * q^21 - 3 * q^22 - 3 * q^23 + 3 * q^26 + 3 * q^27 + 15 * q^28 + 6 * q^29 + 3 * q^30 - 3 * q^33 - 6 * q^34 + 3 * q^35 - 6 * q^38 - 6 * q^39 + 21 * q^41 - 12 * q^42 - 24 * q^43 + 3 * q^44 + 3 * q^45 + 6 * q^46 - 33 * q^49 + 3 * q^50 + 12 * q^51 + 24 * q^52 - 24 * q^53 + 6 * q^55 - 12 * q^56 + 12 * q^57 + 12 * q^58 - 24 * q^61 - 3 * q^63 - 3 * q^64 + 3 * q^65 - 6 * q^66 - 24 * q^67 + 12 * q^68 + 6 * q^69 - 3 * q^70 + 12 * q^71 + 15 * q^74 - 6 * q^75 - 9 * q^76 - 30 * q^77 - 12 * q^78 + 36 * q^79 - 21 * q^82 + 6 * q^84 - 6 * q^85 - 30 * q^86 - 6 * q^87 - 12 * q^89 + 24 * q^91 + 24 * q^92 - 18 * q^93 - 6 * q^94 - 6 * q^95 + 6 * q^96 - 6 * q^97 + 6 * q^98 + 3 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$191$	$211$	$457$
$\chi(n)$	$1$	$e\left(\frac{2}{9}\right)$	$1$

Coefficient data

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

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

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

$2$	−0.766044	−	0.642788i	−0.541675	−	0.454519i
$2$	−0.766044	−	0.642788i	−0.541675	−	0.454519i
$3$	0.939693	−	0.342020i	0.542532	−	0.197465i
$3$	0.939693	−	0.342020i	0.542532	−	0.197465i
$4$	0.173648	+	0.984808i	0.0868241	+	0.492404i
$5$	−0.173648	+	0.984808i	−0.0776578	+	0.440419i
$5$	−0.173648	+	0.984808i	−0.0776578	+	0.440419i
$6$	−0.939693	−	0.342020i	−0.383628	−	0.139629i
$7$	−2.35844	−	4.08494i	−0.891407	−	1.54396i	−0.838190	−	0.545379i	$-0.816386\pi$
$7$	−2.35844	−	4.08494i	−0.891407	−	1.54396i	−0.0532172	−	0.998583i	$-0.516948\pi$
$8$	0.500000	−	0.866025i	0.176777	−	0.306186i
$9$	0.766044	−	0.642788i	0.255348	−	0.214263i
$10$	0.766044	−	0.642788i	0.242245	−	0.203267i
$11$	0.766044	−	1.32683i	0.230971	−	0.400054i	−0.727123	−	0.686507i	$-0.759143\pi$
$11$	0.766044	−	1.32683i	0.230971	−	0.400054i	0.958094	+	0.286453i	$0.0924764\pi$
$12$	0.500000	+	0.866025i	0.144338	+	0.250000i
$13$	−2.24510	−	0.817150i	−0.622679	−	0.226637i	0.0113629	−	0.999935i	$-0.496383\pi$
$13$	−2.24510	−	0.817150i	−0.622679	−	0.226637i	−0.634042	+	0.773299i	$0.718605\pi$
$14$	−0.819078	+	4.64522i	−0.218908	+	1.24149i
$15$	0.173648	+	0.984808i	0.0448358	+	0.254276i
$16$	−0.939693	+	0.342020i	−0.234923	+	0.0855050i
$17$	−0.184793	−	0.155059i	−0.0448188	−	0.0376074i	0.620103	−	0.784520i	$-0.287091\pi$
$17$	−0.184793	−	0.155059i	−0.0448188	−	0.0376074i	−0.664922	+	0.746913i	$0.731535\pi$
$18$	−1.00000			−0.235702
$19$	−2.23396	+	3.74292i	−0.512505	+	0.858685i
$19$	−2.23396	+	3.74292i	−0.512505	+	0.858685i
$20$	−1.00000			−0.223607
$21$	−3.61334	−	3.03195i	−0.788496	−	0.661626i
$22$	−1.43969	+	0.524005i	−0.306943	+	0.111718i
$23$	−1.16385	−	6.60051i	−0.242679	−	1.37630i	−0.825822	−	0.563932i	$-0.809288\pi$
$23$	−1.16385	−	6.60051i	−0.242679	−	1.37630i	0.583142	−	0.812370i	$-0.301823\pi$
$24$	0.173648	−	0.984808i	0.0354458	−	0.201023i
$25$	−0.939693	−	0.342020i	−0.187939	−	0.0684040i
$26$	1.19459	+	2.06910i	0.234279	+	0.405783i
$27$	0.500000	−	0.866025i	0.0962250	−	0.166667i
$28$	3.61334	−	3.03195i	0.682857	−	0.572985i
$29$	1.34730	−	1.13052i	0.250187	−	0.209932i	−0.509066	−	0.860727i	$-0.670009\pi$
$29$	1.34730	−	1.13052i	0.250187	−	0.209932i	0.759253	+	0.650796i	$0.225565\pi$
$30$	0.500000	−	0.866025i	0.0912871	−	0.158114i
$31$	−3.41147	−	5.90885i	−0.612719	−	1.06126i	−0.990780	−	0.135480i	$-0.956742\pi$
$31$	−3.41147	−	5.90885i	−0.612719	−	1.06126i	0.378061	−	0.925781i	$-0.376591\pi$
$32$	0.939693	+	0.342020i	0.166116	+	0.0604612i
$33$	0.266044	−	1.50881i	0.0463124	−	0.262651i
$34$	0.0418891	+	0.237565i	0.00718392	+	0.0407420i
$35$	4.43242	−	1.61327i	0.749215	−	0.272692i
$36$	0.766044	+	0.642788i	0.127674	+	0.107131i
$37$	−9.39693			−1.54485			−0.772423	−	0.635109i	$-0.780955\pi$
$37$	−9.39693			−1.54485			−0.772423	+	0.635109i	$0.780955\pi$
$38$	4.11721	−	1.43128i	0.667900	−	0.232185i
$39$	−2.38919			−0.382576
$40$	0.766044	+	0.642788i	0.121122	+	0.101634i
$41$	11.2626	−	4.09927i	1.75893	−	0.640198i	0.758988	−	0.651104i	$-0.225694\pi$
$41$	11.2626	−	4.09927i	1.75893	−	0.640198i	0.999941	+	0.0109063i	$0.00347164\pi$
$42$	0.819078	+	4.64522i	0.126386	+	0.716773i
$43$	1.29086	−	7.32083i	0.196854	−	1.11642i	−0.712899	−	0.701267i	$-0.752618\pi$
$43$	1.29086	−	7.32083i	0.196854	−	1.11642i	0.909753	−	0.415149i	$-0.136271\pi$
$44$	1.43969	+	0.524005i	0.217042	+	0.0789968i
$45$	0.500000	+	0.866025i	0.0745356	+	0.129099i
$46$	−3.35117	+	5.80439i	−0.494103	+	0.855811i
$47$	4.17752	−	3.50535i	0.609354	−	0.511308i	−0.285083	−	0.958503i	$-0.592021\pi$
$47$	4.17752	−	3.50535i	0.609354	−	0.511308i	0.894437	+	0.447194i	$0.147577\pi$
$48$	−0.766044	+	0.642788i	−0.110569	+	0.0927784i
$49$	−7.62449	+	13.2060i	−1.08921	+	1.88657i
$50$	0.500000	+	0.866025i	0.0707107	+	0.122474i
$51$	−0.226682	−	0.0825054i	−0.0317418	−	0.0115531i
$52$	0.414878	−	2.35289i	0.0575332	−	0.326287i
$53$	1.04576	+	5.93080i	0.143646	+	0.814658i	0.968444	+	0.249230i	$0.0801776\pi$
$53$	1.04576	+	5.93080i	0.143646	+	0.814658i	−0.824798	+	0.565427i	$0.808711\pi$
$54$	−0.939693	+	0.342020i	−0.127876	+	0.0465430i
$55$	1.17365	+	0.984808i	0.158255	+	0.132791i
$56$	−4.71688			−0.630320
$57$	−0.819078	+	4.28125i	−0.108490	+	0.567066i
$58$	−1.75877			−0.230938
$59$	−7.24170	−	6.07650i	−0.942789	−	0.791094i	0.0352798	−	0.999377i	$-0.488768\pi$
$59$	−7.24170	−	6.07650i	−0.942789	−	0.791094i	−0.978068	+	0.208284i	$0.933212\pi$
$60$	−0.939693	+	0.342020i	−0.121314	+	0.0441546i
$61$	0.453363	+	2.57115i	0.0580472	+	0.329202i	0.999978	−	0.00660445i	$-0.00210228\pi$
$61$	0.453363	+	2.57115i	0.0580472	+	0.329202i	−0.941931	+	0.335807i	$0.890991\pi$
$62$	−1.18479	+	6.71929i	−0.150469	+	0.853351i
$63$	−4.43242	−	1.61327i	−0.558432	−	0.203253i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	1.19459	−	2.06910i	0.148171	−	0.256640i
$66$	−1.17365	+	0.984808i	−0.144466	+	0.121221i
$67$	−3.16250	+	2.65366i	−0.386361	+	0.324196i	−0.815194	−	0.579188i	$-0.803370\pi$
$67$	−3.16250	+	2.65366i	−0.386361	+	0.324196i	0.428832	+	0.903384i	$0.358925\pi$
$68$	0.120615	−	0.208911i	0.0146267	−	0.0253342i
$69$	−3.35117	−	5.80439i	−0.403433	−	0.698767i
$70$	−4.43242	−	1.61327i	−0.529775	−	0.192822i
$71$	−1.26857	+	7.19442i	−0.150552	+	0.853821i	0.812189	+	0.583394i	$0.198276\pi$
$71$	−1.26857	+	7.19442i	−0.150552	+	0.853821i	−0.962741	+	0.270426i	$0.912835\pi$
$72$	−0.173648	−	0.984808i	−0.0204646	−	0.116061i
$73$	4.10607	−	1.49449i	0.480579	−	0.174916i	−0.0903597	−	0.995909i	$-0.528802\pi$
$73$	4.10607	−	1.49449i	0.480579	−	0.174916i	0.570939	+	0.820993i	$0.306579\pi$
$74$	7.19846	+	6.04023i	0.836804	+	0.702162i
$75$	−1.00000			−0.115470
$76$	−4.07398	−	1.55007i	−0.467317	−	0.177805i
$77$	−7.22668			−0.823557
$78$	1.83022	+	1.53574i	0.207232	+	0.173888i
$79$	9.06418	−	3.29909i	1.01980	−	0.371177i	0.222611	−	0.974907i	$-0.428542\pi$
$79$	9.06418	−	3.29909i	1.01980	−	0.371177i	0.797188	+	0.603731i	$0.206320\pi$
$80$	−0.173648	−	0.984808i	−0.0194145	−	0.110105i
$81$	0.173648	−	0.984808i	0.0192942	−	0.109423i
$82$	−11.2626	−	4.09927i	−1.24375	−	0.452688i
$83$	4.94356	+	8.56250i	0.542627	+	0.939857i	0.998752	+	0.0499413i	$0.0159034\pi$
$83$	4.94356	+	8.56250i	0.542627	+	0.939857i	−0.456126	+	0.889915i	$0.650763\pi$
$84$	2.35844	−	4.08494i	0.257327	−	0.445703i
$85$	0.184793	−	0.155059i	0.0200436	−	0.0168185i
$86$	−5.69459	+	4.77833i	−0.614064	+	0.515261i
$87$	0.879385	−	1.52314i	0.0942800	−	0.163298i
$88$	−0.766044	−	1.32683i	−0.0816606	−	0.141440i
$89$	4.75150	+	1.72940i	0.503658	+	0.183316i	0.581338	−	0.813662i	$-0.302529\pi$
$89$	4.75150	+	1.72940i	0.503658	+	0.183316i	−0.0776808	+	0.996978i	$0.524751\pi$
$90$	0.173648	−	0.984808i	0.0183041	−	0.103808i
$91$	1.95693	+	11.0983i	0.205142	+	1.16342i
$92$	6.29813	−	2.29233i	0.656626	−	0.238992i
$93$	−5.22668	−	4.38571i	−0.541982	−	0.454777i
$94$	−5.45336			−0.562471
$95$	−3.29813	−	2.84997i	−0.338381	−	0.292401i
$96$	1.00000			0.102062
$97$	−4.41147	−	3.70167i	−0.447917	−	0.375847i	0.390745	−	0.920499i	$-0.372217\pi$
$97$	−4.41147	−	3.70167i	−0.447917	−	0.375847i	−0.838662	+	0.544652i	$0.816662\pi$
$98$	14.3293	−	5.21546i	1.44748	−	0.526841i
$99$	−0.266044	−	1.50881i	−0.0267385	−	0.151641i
$100$	0.173648	−	0.984808i	0.0173648	−	0.0984808i
$101$	−9.74422	−	3.54661i	−0.969586	−	0.352901i	−0.191803	−	0.981433i	$-0.561434\pi$
$101$	−9.74422	−	3.54661i	−0.969586	−	0.352901i	−0.777783	+	0.628533i	$0.783656\pi$
$102$	0.120615	+	0.208911i	0.0119426	+	0.0206853i
$103$	7.40033	−	12.8177i	0.729176	−	1.26297i	−0.228056	−	0.973648i	$-0.573237\pi$
$103$	7.40033	−	12.8177i	0.729176	−	1.26297i	0.957232	−	0.289322i	$-0.0934298\pi$
$104$	−1.83022	+	1.53574i	−0.179468	+	0.150592i
$105$	3.61334	−	3.03195i	0.352626	−	0.295888i
$106$	3.01114	−	5.21546i	0.292468	−	0.506570i
$107$	5.51754	+	9.55666i	0.533401	+	0.923877i	0.999239	+	0.0390074i	$0.0124196\pi$
$107$	5.51754	+	9.55666i	0.533401	+	0.923877i	−0.465838	+	0.884870i	$0.654247\pi$
$108$	0.939693	+	0.342020i	0.0904220	+	0.0329109i
$109$	−1.87939	+	10.6585i	−0.180012	+	1.02090i	0.752185	+	0.658952i	$0.229000\pi$
$109$	−1.87939	+	10.6585i	−0.180012	+	1.02090i	−0.932198	+	0.361950i	$0.882111\pi$
$110$	−0.266044	−	1.50881i	−0.0253663	−	0.143860i
$111$	−8.83022	+	3.21394i	−0.838128	+	0.305053i
$112$	3.61334	+	3.03195i	0.341429	+	0.286493i
$113$	11.7588			1.10617			0.553086	−	0.833124i	$-0.313450\pi$
$113$	11.7588			1.10617			0.553086	+	0.833124i	$0.313450\pi$
$114$	3.37939	−	2.75314i	0.316508	−	0.257855i
$115$	6.70233			0.624996
$116$	1.34730	+	1.13052i	0.125093	+	0.104966i
$117$	−2.24510	+	0.817150i	−0.207560	+	0.0755455i
$118$	1.64156	+	9.30975i	0.151118	+	0.857032i
$119$	−0.197586	+	1.12056i	−0.0181127	+	0.102722i
$120$	0.939693	+	0.342020i	0.0857818	+	0.0312220i
$121$	4.32635	+	7.49346i	0.393305	+	0.681224i
$122$	1.30541	−	2.26103i	0.118186	−	0.204704i
$123$	9.18139	−	7.70410i	0.827858	−	0.694655i
$124$	5.22668	−	4.38571i	0.469370	−	0.393848i
$125$	0.500000	−	0.866025i	0.0447214	−	0.0774597i
$126$	2.35844	+	4.08494i	0.210107	+	0.363915i
$127$	20.5744	+	7.48849i	1.82569	+	0.664496i	0.994017	+	0.109225i	$0.0348369\pi$
$127$	20.5744	+	7.48849i	1.82569	+	0.664496i	0.831670	+	0.555271i	$0.187385\pi$
$128$	−0.173648	+	0.984808i	−0.0153485	+	0.0870455i
$129$	−1.29086	−	7.32083i	−0.113654	−	0.644563i
$130$	−2.24510	+	0.817150i	−0.196908	+	0.0716688i
$131$	8.19846	+	6.87933i	0.716303	+	0.601050i	0.926360	−	0.376640i	$-0.122920\pi$
$131$	8.19846	+	6.87933i	0.716303	+	0.601050i	−0.210057	+	0.977689i	$0.567365\pi$
$132$	1.53209			0.133351
$133$	20.5582	+	0.298120i	1.78263	+	0.0258503i
$134$	4.12836			0.356636
$135$	0.766044	+	0.642788i	0.0659306	+	0.0553223i
$136$	−0.226682	+	0.0825054i	−0.0194378	+	0.00707478i
$137$	−0.248970	−	1.41198i	−0.0212710	−	0.120634i	0.972323	−	0.233639i	$-0.0750634\pi$
$137$	−0.248970	−	1.41198i	−0.0212710	−	0.120634i	−0.993594	+	0.113005i	$0.963952\pi$
$138$	−1.16385	+	6.60051i	−0.0990733	+	0.561873i
$139$	−14.1468	−	5.14900i	−1.19991	−	0.436733i	−0.336720	−	0.941605i	$-0.609317\pi$
$139$	−14.1468	−	5.14900i	−1.19991	−	0.436733i	−0.863194	+	0.504872i	$0.831540\pi$
$140$	2.35844	+	4.08494i	0.199325	+	0.345240i
$141$	2.72668	−	4.72275i	0.229628	−	0.397727i
$142$	5.59627	−	4.69583i	0.469628	−	0.394065i
$143$	−2.80406	+	2.35289i	−0.234488	+	0.196758i
$144$	−0.500000	+	0.866025i	−0.0416667	+	0.0721688i
$145$	0.879385	+	1.52314i	0.0730290	+	0.126490i
$146$	−4.10607	−	1.49449i	−0.339821	−	0.123685i
$147$	−2.64796	+	15.0173i	−0.218400	+	1.23861i
$148$	−1.63176	−	9.25417i	−0.134130	−	0.760688i
$149$	12.0915	−	4.40095i	0.990576	−	0.360540i	0.204633	−	0.978839i	$-0.434400\pi$
$149$	12.0915	−	4.40095i	0.990576	−	0.360540i	0.785943	+	0.618299i	$0.212178\pi$
$150$	0.766044	+	0.642788i	0.0625473	+	0.0524834i
$151$	−0.241230			−0.0196310			−0.00981549	−	0.999952i	$-0.503124\pi$
$151$	−0.241230			−0.0196310			−0.00981549	+	0.999952i	$0.503124\pi$
$152$	2.12449	+	3.80612i	0.172319	+	0.308717i
$153$	−0.241230			−0.0195023
$154$	5.53596	+	4.64522i	0.446100	+	0.374323i
$155$	6.41147	−	2.33359i	0.514982	−	0.187438i
$156$	−0.414878	−	2.35289i	−0.0332168	−	0.188382i
$157$	−0.0432332	+	0.245188i	−0.00345039	+	0.0195681i	−0.986484	−	0.163856i	$-0.947607\pi$
$157$	−0.0432332	+	0.245188i	−0.00345039	+	0.0195681i	0.983034	+	0.183424i	$0.0587180\pi$
$158$	−9.06418	−	3.29909i	−0.721107	−	0.262462i
$159$	3.01114	+	5.21546i	0.238799	+	0.413612i
$160$	−0.500000	+	0.866025i	−0.0395285	+	0.0684653i
$161$	−24.2178	+	20.3212i	−1.90863	+	1.60153i
$162$	−0.766044	+	0.642788i	−0.0601861	+	0.0505022i
$163$	2.82295	−	4.88949i	0.221110	−	0.382974i	−0.734035	−	0.679112i	$-0.762365\pi$
$163$	2.82295	−	4.88949i	0.221110	−	0.382974i	0.955145	+	0.296137i	$0.0956986\pi$
$164$	5.99273	+	10.3797i	0.467953	+	0.810519i
$165$	1.43969	+	0.524005i	0.112080	+	0.0407938i
$166$	1.71688	−	9.73692i	0.133256	−	0.755731i
$167$	2.23190	+	12.6577i	0.172709	+	0.979483i	0.940755	+	0.339088i	$0.110118\pi$
$167$	2.23190	+	12.6577i	0.172709	+	0.979483i	−0.768045	+	0.640395i	$0.778771\pi$
$168$	−4.43242	+	1.61327i	−0.341969	+	0.124466i
$169$	−5.58584	−	4.68707i	−0.429680	−	0.360544i
$170$	−0.241230			−0.0185015
$171$	0.694593	+	4.30320i	0.0531168	+	0.329074i
$172$	7.43376			0.566819
$173$	−9.55097	−	8.01422i	−0.726147	−	0.609310i	0.202931	−	0.979193i	$-0.434953\pi$
$173$	−9.55097	−	8.01422i	−0.726147	−	0.609310i	−0.929078	+	0.369883i	$0.879398\pi$
$174$	−1.65270	+	0.601535i	−0.125291	+	0.0456022i
$175$	0.819078	+	4.64522i	0.0619165	+	0.351146i
$176$	−0.266044	+	1.50881i	−0.0200539	+	0.113731i
$177$	−8.88326	−	3.23324i	−0.667706	−	0.243025i
$178$	−2.52822	−	4.37900i	−0.189498	−	0.328220i
$179$	−5.55556	+	9.62251i	−0.415242	+	0.719220i	−0.995454	−	0.0952453i	$-0.969636\pi$
$179$	−5.55556	+	9.62251i	−0.415242	+	0.719220i	0.580212	+	0.814466i	$0.302970\pi$
$180$	−0.766044	+	0.642788i	−0.0570976	+	0.0479106i
$181$	6.79292	−	5.69994i	0.504914	−	0.423673i	−0.354421	−	0.935086i	$-0.615322\pi$
$181$	6.79292	−	5.69994i	0.504914	−	0.423673i	0.859335	+	0.511413i	$0.170878\pi$
$182$	5.63475	−	9.75968i	0.417676	−	0.723435i
$183$	1.30541	+	2.26103i	0.0964985	+	0.167140i
$184$	−6.29813	−	2.29233i	−0.464305	−	0.168993i
$185$	1.63176	−	9.25417i	0.119969	−	0.680380i
$186$	1.18479	+	6.71929i	0.0868732	+	0.492682i
$187$	−0.347296	+	0.126406i	−0.0253968	+	0.00924369i
$188$	4.17752	+	3.50535i	0.304677	+	0.255654i
$189$	−4.71688			−0.343103
$190$	0.694593	+	4.30320i	0.0503911	+	0.312187i
$191$	11.9709			0.866184			0.433092	−	0.901350i	$-0.357422\pi$
$191$	11.9709			0.866184			0.433092	+	0.901350i	$0.357422\pi$
$192$	−0.766044	−	0.642788i	−0.0552845	−	0.0463892i
$193$	8.21213	−	2.98897i	0.591122	−	0.215151i	−0.0291007	−	0.999576i	$-0.509264\pi$
$193$	8.21213	−	2.98897i	0.591122	−	0.215151i	0.620223	+	0.784426i	$0.287042\pi$
$194$	1.00000	+	5.67128i	0.0717958	+	0.407174i
$195$	0.414878	−	2.35289i	0.0297100	−	0.168494i
$196$	−14.3293	−	5.21546i	−1.02352	−	0.372533i
$197$	−9.38191	−	16.2499i	−0.668434	−	1.15776i	−0.978342	−	0.206994i	$-0.933632\pi$
$197$	−9.38191	−	16.2499i	−0.668434	−	1.15776i	0.309909	−	0.950766i	$-0.399702\pi$
$198$	−0.766044	+	1.32683i	−0.0544404	+	0.0942936i
$199$	−5.09833	+	4.27800i	−0.361411	+	0.303260i	−0.805353	−	0.592796i	$-0.798024\pi$
$199$	−5.09833	+	4.27800i	−0.361411	+	0.303260i	0.443942	+	0.896056i	$0.353580\pi$
$200$	−0.766044	+	0.642788i	−0.0541675	+	0.0454519i
$201$	−2.06418	+	3.57526i	−0.145596	+	0.252179i
$202$	5.18479	+	8.98032i	0.364801	+	0.631853i
$203$	−7.79561	−	2.83737i	−0.547144	−	0.199144i
$204$	0.0418891	−	0.237565i	0.00293282	−	0.0166329i
$205$	2.08125	+	11.8034i	0.145361	+	0.824383i
$206$	−13.9081	+	5.06212i	−0.969021	+	0.352695i
$207$	−5.13429	−	4.30818i	−0.356857	−	0.299439i
$208$	2.38919			0.165660
$209$	3.25490	+	5.83132i	0.225146	+	0.403361i
$210$	−4.71688			−0.325496
$211$	12.4422	+	10.4403i	0.856558	+	0.718737i	0.961224	−	0.275770i	$-0.0889329\pi$
$211$	12.4422	+	10.4403i	0.856558	+	0.718737i	−0.104666	+	0.994507i	$0.533377\pi$
$212$	−5.65910	+	2.05974i	−0.388669	+	0.141464i
$213$	1.26857	+	7.19442i	0.0869210	+	0.492954i
$214$	1.91622	−	10.8674i	0.130990	−	0.742883i
$215$	6.98545	+	2.54250i	0.476404	+	0.173397i
$216$	−0.500000	−	0.866025i	−0.0340207	−	0.0589256i
$217$	−16.0915	+	27.8713i	−1.09236	+	1.89203i
$218$	8.29086	−	6.95686i	0.561528	−	0.471178i
$219$	3.34730	−	2.80872i	0.226189	−	0.189795i
$220$	−0.766044	+	1.32683i	−0.0516467	+	0.0894547i
$221$	0.288171	+	0.499127i	0.0193845	+	0.0335749i
$222$	8.83022	+	3.21394i	0.592646	+	0.215705i
$223$	4.77079	−	27.0565i	0.319476	−	1.81184i	−0.226471	−	0.974018i	$-0.572719\pi$
$223$	4.77079	−	27.0565i	0.319476	−	1.81184i	0.545947	−	0.837820i	$-0.316170\pi$
$224$	−0.819078	−	4.64522i	−0.0547269	−	0.310372i
$225$	−0.939693	+	0.342020i	−0.0626462	+	0.0228013i
$226$	−9.00774	−	7.55839i	−0.599186	−	0.502777i
$227$	0.0290958			0.00193116			0.000965579	−	1.00000i	$-0.499693\pi$
$227$	0.0290958			0.00193116			0.000965579		1.00000i	$0.499693\pi$
$228$	−4.35844	−	0.0632028i	−0.288645	−	0.00418571i
$229$	−20.5371			−1.35713			−0.678566	−	0.734539i	$-0.737398\pi$
$229$	−20.5371			−1.35713			−0.678566	+	0.734539i	$0.737398\pi$
$230$	−5.13429	−	4.30818i	−0.338545	−	0.284073i
$231$	−6.79086	+	2.47167i	−0.446806	+	0.162624i
$232$	−0.305407	−	1.73205i	−0.0200510	−	0.113715i
$233$	−1.14796	+	6.51038i	−0.0752051	+	0.426509i	0.923838	+	0.382783i	$0.125034\pi$
$233$	−1.14796	+	6.51038i	−0.0752051	+	0.426509i	−0.999044	+	0.0437266i	$0.986077\pi$
$234$	2.24510	+	0.817150i	0.146767	+	0.0534187i
$235$	2.72668	+	4.72275i	0.177869	+	0.308078i
$236$	4.72668	−	8.18685i	0.307681	−	0.532919i
$237$	7.38919	−	6.20026i	0.479979	−	0.402750i
$238$	0.871644	−	0.731397i	0.0565003	−	0.0474094i
$239$	7.92127	−	13.7200i	0.512385	−	0.887476i	−0.487512	−	0.873116i	$-0.662096\pi$
$239$	7.92127	−	13.7200i	0.512385	−	0.887476i	0.999897	−	0.0143601i	$-0.00457111\pi$
$240$	−0.500000	−	0.866025i	−0.0322749	−	0.0559017i
$241$	6.24510	+	2.27303i	0.402282	+	0.146419i	0.535234	−	0.844704i	$-0.320223\pi$
$241$	6.24510	+	2.27303i	0.402282	+	0.146419i	−0.132952	+	0.991122i	$0.542446\pi$
$242$	1.50253	−	8.52125i	0.0965860	−	0.547767i
$243$	−0.173648	−	0.984808i	−0.0111395	−	0.0631754i
$244$	−2.45336	+	0.892951i	−0.157060	+	0.0571653i
$245$	−11.6814	−	9.80185i	−0.746297	−	0.626217i
$246$	−11.9855			−0.764165
$247$	8.07398	−	6.57775i	0.513735	−	0.418532i
$248$	−6.82295			−0.433258
$249$	7.57398	+	6.35532i	0.479981	+	0.402752i
$250$	−0.939693	+	0.342020i	−0.0594314	+	0.0216313i
$251$	−5.03074	−	28.5308i	−0.317538	−	1.80085i	−0.557623	−	0.830094i	$-0.688286\pi$
$251$	−5.03074	−	28.5308i	−0.317538	−	1.80085i	0.240085	−	0.970752i	$-0.422825\pi$
$252$	0.819078	−	4.64522i	0.0515971	−	0.292621i
$253$	−9.64930	−	3.51206i	−0.606646	−	0.220801i
$254$	−10.9474	−	18.9615i	−0.686903	−	1.18975i
$255$	0.120615	−	0.208911i	0.00755319	−	0.0130825i
$256$	0.766044	−	0.642788i	0.0478778	−	0.0401742i
$257$	9.98545	−	8.37879i	0.622875	−	0.522655i	−0.275831	−	0.961206i	$-0.588953\pi$
$257$	9.98545	−	8.37879i	0.622875	−	0.522655i	0.898706	+	0.438552i	$0.144508\pi$
$258$	−3.71688	+	6.43783i	−0.231403	+	0.400802i
$259$	22.1621	+	38.3859i	1.37709	+	2.38518i
$260$	2.24510	+	0.817150i	0.139235	+	0.0506775i
$261$	0.305407	−	1.73205i	0.0189042	−	0.107211i
$262$	−1.85844	−	10.5397i	−0.114815	−	0.651147i
$263$	1.89306	−	0.689016i	0.116731	−	0.0424865i	−0.282994	−	0.959122i	$-0.591328\pi$
$263$	1.89306	−	0.689016i	0.116731	−	0.0424865i	0.399725	+	0.916635i	$0.369106\pi$
$264$	−1.17365	−	0.984808i	−0.0722331	−	0.0606107i
$265$	−6.02229			−0.369946
$266$	−15.5569	−	13.4430i	−0.953855	−	0.824241i
$267$	5.05644			0.309449
$268$	−3.16250	−	2.65366i	−0.193181	−	0.162098i
$269$	19.5253	−	7.10662i	1.19048	−	0.433298i	0.330586	−	0.943776i	$-0.392754\pi$
$269$	19.5253	−	7.10662i	1.19048	−	0.433298i	0.859891	+	0.510477i	$0.170531\pi$
$270$	−0.173648	−	0.984808i	−0.0105679	−	0.0599335i
$271$	4.04694	−	22.9513i	0.245834	−	1.39419i	−0.572713	−	0.819756i	$-0.694109\pi$
$271$	4.04694	−	22.9513i	0.245834	−	1.39419i	0.818547	−	0.574439i	$-0.194780\pi$
$272$	0.226682	+	0.0825054i	0.0137446	+	0.00500262i
$273$	5.63475	+	9.75968i	0.341031	+	0.590683i
$274$	−0.716881	+	1.24168i	−0.0433084	+	0.0750123i
$275$	−1.17365	+	0.984808i	−0.0707736	+	0.0593861i
$276$	5.13429	−	4.30818i	0.309048	−	0.259322i
$277$	−10.3229	+	17.8799i	−0.620246	+	1.07430i	0.369194	+	0.929352i	$0.379634\pi$
$277$	−10.3229	+	17.8799i	−0.620246	+	1.07430i	−0.989440	+	0.144945i	$0.953700\pi$
$278$	7.52734	+	13.0377i	0.451460	+	0.781952i
$279$	−6.41147	−	2.33359i	−0.383845	−	0.139708i
$280$	0.819078	−	4.64522i	0.0489493	−	0.277605i
$281$	2.75759	+	15.6391i	0.164504	+	0.932948i	0.949574	+	0.313542i	$0.101516\pi$
$281$	2.75759	+	15.6391i	0.164504	+	0.932948i	−0.785070	+	0.619406i	$0.787373\pi$
$282$	−5.12449	+	1.86516i	−0.305159	+	0.111069i
$283$	−11.6040	−	9.73692i	−0.689787	−	0.578800i	0.229061	−	0.973412i	$-0.426434\pi$
$283$	−11.6040	−	9.73692i	−0.689787	−	0.578800i	−0.918848	+	0.394612i	$0.870879\pi$
$284$	−7.30541			−0.433496
$285$	−4.07398	−	1.55007i	−0.241322	−	0.0918180i
$286$	3.66044			0.216447
$287$	−43.3075	−	36.3393i	−2.55636	−	2.14504i
$288$	0.939693	−	0.342020i	0.0553719	−	0.0201537i
$289$	−2.94191	−	16.6844i	−0.173054	−	0.981437i
$290$	0.305407	−	1.73205i	0.0179341	−	0.101710i
$291$	−5.41147	−	1.96962i	−0.317226	−	0.115461i
$292$	2.18479	+	3.78417i	0.127855	+	0.221452i
$293$	−13.8564	+	24.0000i	−0.809498	+	1.40209i	0.103713	+	0.994607i	$0.466928\pi$
$293$	−13.8564	+	24.0000i	−0.809498	+	1.40209i	−0.913212	+	0.407485i	$0.866406\pi$
$294$	11.6814	−	9.80185i	0.681272	−	0.571655i
$295$	7.24170	−	6.07650i	0.421628	−	0.353788i
$296$	−4.69846	+	8.13798i	−0.273093	+	0.473010i
$297$	−0.766044	−	1.32683i	−0.0444504	−	0.0769904i
$298$	−12.0915	−	4.40095i	−0.700443	−	0.254940i
$299$	−2.78065	+	15.7698i	−0.160809	+	0.911994i
$300$	−0.173648	−	0.984808i	−0.0100256	−	0.0568579i
$301$	−32.9495	+	11.9927i	−1.89918	+	0.691245i
$302$	0.184793	+	0.155059i	0.0106336	+	0.00892266i
$303$	−10.3696			−0.595717
$304$	0.819078	−	4.28125i	0.0469773	−	0.245547i
$305$	−2.61081			−0.149495
$306$	0.184793	+	0.155059i	0.0105639	+	0.00886415i
$307$	−3.34224	+	1.21648i	−0.190752	+	0.0694280i	−0.435630	−	0.900126i	$-0.643474\pi$
$307$	−3.34224	+	1.21648i	−0.190752	+	0.0694280i	0.244878	+	0.969554i	$0.421252\pi$
$308$	−1.25490	−	7.11689i	−0.0715046	−	0.405523i
$309$	2.57011	−	14.5758i	0.146208	−	0.829189i
$310$	−6.41147	−	2.33359i	−0.364147	−	0.132539i
$311$	14.8452	+	25.7127i	0.841796	+	1.45803i	0.888375	+	0.459119i	$0.151835\pi$
$311$	14.8452	+	25.7127i	0.841796	+	1.45803i	−0.0465786	+	0.998915i	$0.514832\pi$
$312$	−1.19459	+	2.06910i	−0.0676305	+	0.117139i
$313$	−21.6536	+	18.1696i	−1.22394	+	1.02700i	−0.225327	+	0.974283i	$0.572345\pi$
$313$	−21.6536	+	18.1696i	−1.22394	+	1.02700i	−0.998609	+	0.0527209i	$0.983211\pi$
$314$	0.190722	−	0.160035i	0.0107631	−	0.00903130i
$315$	2.35844	−	4.08494i	0.132883	−	0.230160i
$316$	4.82295	+	8.35359i	0.271312	+	0.469926i
$317$	−25.2062	−	9.17431i	−1.41572	−	0.515280i	−0.482918	−	0.875666i	$-0.660423\pi$
$317$	−25.2062	−	9.17431i	−1.41572	−	0.515280i	−0.932804	+	0.360385i	$0.882645\pi$
$318$	1.04576	−	5.93080i	0.0586433	−	0.332583i
$319$	−0.467911	−	2.65366i	−0.0261980	−	0.148576i
$320$	0.939693	−	0.342020i	0.0525304	−	0.0191195i
$321$	8.45336	+	7.09321i	0.471821	+	0.395905i
$322$	31.6141			1.76179
$323$	0.993193	−	0.345268i	0.0552627	−	0.0192112i
$324$	1.00000			0.0555556
$325$	1.83022	+	1.53574i	0.101522	+	0.0851875i
$326$	−5.30541	+	1.93101i	−0.293839	+	0.106949i
$327$	1.87939	+	10.6585i	0.103930	+	0.589418i
$328$	2.08125	−	11.8034i	0.114918	−	0.651732i
$329$	−24.1716	−	8.79774i	−1.33262	−	0.485035i
$330$	−0.766044	−	1.32683i	−0.0421694	−	0.0730395i
$331$	−3.66385	+	6.34597i	−0.201383	+	0.348806i	−0.948974	−	0.315353i	$-0.897877\pi$
$331$	−3.66385	+	6.34597i	−0.201383	+	0.348806i	0.747591	+	0.664159i	$0.231210\pi$
$332$	−7.57398	+	6.35532i	−0.415676	+	0.348794i
$333$	−7.19846	+	6.04023i	−0.394473	+	0.331002i
$334$	6.42649	−	11.1310i	0.351642	−	0.609062i
$335$	−2.06418	−	3.57526i	−0.112778	−	0.195337i
$336$	4.43242	+	1.61327i	0.241808	+	0.0880110i
$337$	−0.0814140	+	0.461722i	−0.00443491	+	0.0251516i	−0.986945	−	0.161058i	$-0.948509\pi$
$337$	−0.0814140	+	0.461722i	−0.00443491	+	0.0251516i	0.982510	+	0.186210i	$0.0596204\pi$
$338$	1.26621	+	7.18101i	0.0688726	+	0.390596i
$339$	11.0496	−	4.02174i	0.600134	−	0.218431i
$340$	0.184793	+	0.155059i	0.0100218	+	0.00840927i
$341$	−10.4534			−0.566081
$342$	2.23396	−	3.74292i	0.120798	−	0.202394i
$343$	38.9094			2.10091
$344$	−5.69459	−	4.77833i	−0.307032	−	0.257630i
$345$	6.29813	−	2.29233i	0.339080	−	0.123415i
$346$	2.16503	+	12.2785i	0.116393	+	0.660096i
$347$	2.32770	−	13.2010i	0.124957	−	0.708668i	−0.856376	−	0.516353i	$-0.827289\pi$
$347$	2.32770	−	13.2010i	0.124957	−	0.708668i	0.981333	−	0.192315i	$-0.0615996\pi$
$348$	1.65270	+	0.601535i	0.0885942	+	0.0322457i
$349$	−14.5672	−	25.2311i	−0.779763	−	1.35059i	−0.932078	−	0.362257i	$-0.882006\pi$
$349$	−14.5672	−	25.2311i	−0.779763	−	1.35059i	0.152316	−	0.988332i	$-0.451327\pi$
$350$	2.35844	−	4.08494i	0.126064	−	0.218349i
$351$	−1.83022	+	1.53574i	−0.0976900	+	0.0819717i
$352$	1.17365	−	0.984808i	0.0625557	−	0.0524904i
$353$	−0.822948	+	1.42539i	−0.0438011	+	0.0758658i	−0.887095	−	0.461587i	$-0.847280\pi$
$353$	−0.822948	+	1.42539i	−0.0438011	+	0.0758658i	0.843294	+	0.537453i	$0.180613\pi$
$354$	4.72668	+	8.18685i	0.251220	+	0.435126i
$355$	−6.86484	−	2.49860i	−0.364348	−	0.132612i
$356$	−0.878041	+	4.97962i	−0.0465361	+	0.263919i
$357$	0.197586	+	1.12056i	0.0104573	+	0.0593066i
$358$	10.4410	−	3.80023i	0.551826	−	0.200848i
$359$	−23.7743	−	19.9490i	−1.25476	−	1.05287i	−0.996220	−	0.0868648i	$-0.972315\pi$
$359$	−23.7743	−	19.9490i	−1.25476	−	1.05287i	−0.258537	−	0.966001i	$-0.583240\pi$
$360$	1.00000			0.0527046
$361$	−9.01889	−	16.7230i	−0.474678	−	0.880159i
$362$	−8.86753			−0.466067
$363$	6.62836	+	5.56185i	0.347898	+	0.291921i
$364$	−10.5899	+	3.85440i	−0.555060	+	0.202025i
$365$	0.758770	+	4.30320i	0.0397159	+	0.225240i
$366$	0.453363	−	2.57115i	0.0236977	−	0.134396i
$367$	18.9329	+	6.89101i	0.988289	+	0.359708i	0.785057	−	0.619423i	$-0.212633\pi$
$367$	18.9329	+	6.89101i	0.988289	+	0.359708i	0.203231	+	0.979131i	$0.434856\pi$
$368$	3.35117	+	5.80439i	0.174692	+	0.302575i
$369$	5.99273	−	10.3797i	0.311969	−	0.540346i
$370$	−7.19846	+	6.04023i	−0.374230	+	0.314016i
$371$	21.7606	−	18.2593i	1.12975	−	0.947975i
$372$	3.41147	−	5.90885i	0.176877	−	0.306359i
$373$	9.56283	+	16.5633i	0.495145	+	0.857616i	0.999984	−	0.00559731i	$-0.00178169\pi$
$373$	9.56283	+	16.5633i	0.495145	+	0.857616i	−0.504840	+	0.863213i	$0.668448\pi$
$374$	0.347296	+	0.126406i	0.0179583	+	0.00653627i
$375$	0.173648	−	0.984808i	0.00896715	−	0.0508553i
$376$	−0.946967	−	5.37051i	−0.0488361	−	0.276963i
$377$	−3.94862	+	1.43718i	−0.203364	+	0.0740185i
$378$	3.61334	+	3.03195i	0.185850	+	0.155947i
$379$	3.66550			0.188284			0.0941420	−	0.995559i	$-0.469989\pi$
$379$	3.66550			0.188284			0.0941420	+	0.995559i	$0.469989\pi$
$380$	2.23396	−	3.74292i	0.114600	−	0.192008i
$381$	21.8949			1.12171
$382$	−9.17024	−	7.69475i	−0.469191	−	0.393698i
$383$	−29.6771	+	10.8016i	−1.51643	+	0.551935i	−0.960253	−	0.279129i	$-0.909954\pi$
$383$	−29.6771	+	10.8016i	−1.51643	+	0.551935i	−0.556176	+	0.831065i	$0.687732\pi$
$384$	0.173648	+	0.984808i	0.00886145	+	0.0502558i
$385$	1.25490	−	7.11689i	0.0639556	−	0.362710i
$386$	−8.21213	−	2.98897i	−0.417987	−	0.152135i
$387$	−3.71688	−	6.43783i	−0.188940	−	0.327253i
$388$	2.87939	−	4.98724i	0.146179	−	0.253189i
$389$	−4.07604	+	3.42020i	−0.206663	+	0.173411i	−0.740245	−	0.672338i	$-0.765290\pi$
$389$	−4.07604	+	3.42020i	−0.206663	+	0.173411i	0.533581	+	0.845749i	$0.320846\pi$
$390$	−1.83022	+	1.53574i	−0.0926769	+	0.0777652i
$391$	−0.808400	+	1.40019i	−0.0408826	+	0.0708107i
$392$	7.62449	+	13.2060i	0.385095	+	0.667004i
$393$	10.0569	+	3.66041i	0.507304	+	0.184643i
$394$	−3.25830	+	18.4788i	−0.164151	+	0.930946i
$395$	1.67499	+	9.49935i	0.0842780	+	0.477964i
$396$	1.43969	−	0.524005i	0.0723473	−	0.0263323i
$397$	1.37030	+	1.14982i	0.0687734	+	0.0577077i	0.676526	−	0.736418i	$-0.263484\pi$
$397$	1.37030	+	1.14982i	0.0687734	+	0.0577077i	−0.607753	+	0.794126i	$0.707929\pi$
$398$	6.65539			0.333605
$399$	19.4204	−	6.75119i	0.972236	−	0.337982i
$400$	1.00000			0.0500000
$401$	8.39961	+	7.04811i	0.419457	+	0.351966i	0.827956	−	0.560792i	$-0.189503\pi$
$401$	8.39961	+	7.04811i	0.419457	+	0.351966i	−0.408500	+	0.912758i	$0.633948\pi$
$402$	3.87939	−	1.41198i	0.193486	−	0.0704232i
$403$	2.83069	+	16.0536i	0.141007	+	0.799689i
$404$	1.80066	−	10.2120i	0.0895862	−	0.508068i
$405$	0.939693	+	0.342020i	0.0466937	+	0.0169951i
$406$	4.14796	+	7.18447i	0.205860	+	0.356559i
$407$	−7.19846	+	12.4681i	−0.356815	+	0.618021i
$408$	−0.184793	+	0.155059i	−0.00914859	+	0.00767658i
$409$	−7.45858	+	6.25849i	−0.368803	+	0.309462i	−0.808288	−	0.588788i	$-0.799605\pi$
$409$	−7.45858	+	6.25849i	−0.368803	+	0.309462i	0.439485	+	0.898250i	$0.355161\pi$
$410$	5.99273	−	10.3797i	0.295960	−	0.512617i
$411$	−0.716881	−	1.24168i	−0.0353612	−	0.0612473i
$412$	13.9081	+	5.06212i	0.685201	+	0.249393i
$413$	−7.74304	+	43.9130i	−0.381010	+	2.16082i
$414$	1.16385	+	6.60051i	0.0572000	+	0.324397i
$415$	−9.29086	+	3.38160i	−0.456070	+	0.165996i
$416$	−1.83022	−	1.53574i	−0.0897340	−	0.0752958i
$417$	−15.0547			−0.737231
$418$	1.25490	−	6.55926i	0.0613792	−	0.320824i
$419$	17.3824			0.849185			0.424592	−	0.905385i	$-0.360417\pi$
$419$	17.3824			0.849185			0.424592	+	0.905385i	$0.360417\pi$
$420$	3.61334	+	3.03195i	0.176313	+	0.147944i
$421$	36.5749	−	13.3122i	1.78255	−	0.648796i	0.782908	−	0.622138i	$-0.213736\pi$
$421$	36.5749	−	13.3122i	1.78255	−	0.648796i	0.999645	−	0.0266578i	$-0.00848644\pi$
$422$	−2.82042	−	15.9954i	−0.137296	−	0.778644i
$423$	0.946967	−	5.37051i	0.0460431	−	0.261123i
$424$	5.65910	+	2.05974i	0.274830	+	0.100030i
$425$	0.120615	+	0.208911i	0.00585068	+	0.0101337i
$426$	3.65270	−	6.32667i	0.176974	−	0.306528i
$427$	9.43376	−	7.91587i	0.456532	−	0.383076i
$428$	−8.45336	+	7.09321i	−0.408609	+	0.342863i
$429$	−1.83022	+	3.17004i	−0.0883640	+	0.153051i
$430$	−3.71688	−	6.43783i	−0.179244	−	0.310460i
$431$	12.2344	+	4.45297i	0.589311	+	0.214492i	0.619427	−	0.785055i	$-0.287365\pi$
$431$	12.2344	+	4.45297i	0.589311	+	0.214492i	−0.0301151	+	0.999546i	$0.509587\pi$
$432$	−0.173648	+	0.984808i	−0.00835465	+	0.0473816i
$433$	0.361844	+	2.05212i	0.0173891	+	0.0986186i	0.992267	−	0.124121i	$-0.0396111\pi$
$433$	0.361844	+	2.05212i	0.0173891	+	0.0986186i	−0.974878	+	0.222740i	$0.928500\pi$
$434$	30.2422	−	11.0072i	1.45167	−	0.528365i
$435$	1.34730	+	1.13052i	0.0645979	+	0.0542041i
$436$	−10.8229			−0.518325
$437$	27.3052	+	10.3891i	1.30618	+	0.496976i
$438$	−4.36959			−0.208787
$439$	10.8229	+	9.08153i	0.516551	+	0.433438i	0.863427	−	0.504473i	$-0.168313\pi$
$439$	10.8229	+	9.08153i	0.516551	+	0.433438i	−0.346876	+	0.937911i	$0.612758\pi$
$440$	1.43969	−	0.524005i	0.0686347	−	0.0249810i
$441$	2.64796	+	15.0173i	0.126093	+	0.715110i
$442$	0.100081	−	0.567586i	0.00476036	−	0.0269973i
$443$	−13.5398	−	4.92809i	−0.643297	−	0.234141i	−0.000288293	−	1.00000i	$-0.500092\pi$
$443$	−13.5398	−	4.92809i	−0.643297	−	0.234141i	−0.643008	+	0.765859i	$0.722314\pi$
$444$	−4.69846	−	8.13798i	−0.222979	−	0.386211i
$445$	−2.52822	+	4.37900i	−0.119849	+	0.207585i
$446$	−21.0462	+	17.6599i	−0.996568	+	0.836220i
$447$	9.85710	−	8.27109i	0.466225	−	0.391209i
$448$	−2.35844	+	4.08494i	−0.111426	+	0.192995i
$449$	−3.75150	−	6.49778i	−0.177044	−	0.306649i	0.763823	−	0.645426i	$-0.223320\pi$
$449$	−3.75150	−	6.49778i	−0.177044	−	0.306649i	−0.940867	+	0.338777i	$0.889987\pi$
$450$	0.939693	+	0.342020i	0.0442975	+	0.0161230i
$451$	3.18866	−	18.0838i	0.150148	−	0.851533i
$452$	2.04189	+	11.5801i	0.0960424	+	0.544683i
$453$	−0.226682	+	0.0825054i	−0.0106504	+	0.00387644i
$454$	−0.0222887	−	0.0187024i	−0.00104606	−	0.000877749i
$455$	−11.2695			−0.528323
$456$	3.29813	+	2.84997i	0.154449	+	0.133462i
$457$	−12.0101			−0.561809			−0.280905	−	0.959736i	$-0.590634\pi$
$457$	−12.0101			−0.561809			−0.280905	+	0.959736i	$0.590634\pi$
$458$	15.7324	+	13.2010i	0.735125	+	0.616843i
$459$	−0.226682	+	0.0825054i	−0.0105806	+	0.00385102i
$460$	1.16385	+	6.60051i	0.0542647	+	0.307750i
$461$	5.95636	−	33.7802i	0.277415	−	1.57330i	−0.453769	−	0.891119i	$-0.649921\pi$
$461$	5.95636	−	33.7802i	0.277415	−	1.57330i	0.731184	−	0.682180i	$-0.238968\pi$
$462$	6.79086	+	2.47167i	0.315939	+	0.114993i
$463$	5.29813	+	9.17664i	0.246225	+	0.426474i	0.962475	−	0.271369i	$-0.0874764\pi$
$463$	5.29813	+	9.17664i	0.246225	+	0.426474i	−0.716250	+	0.697844i	$0.754143\pi$
$464$	−0.879385	+	1.52314i	−0.0408244	+	0.0707100i
$465$	5.22668	−	4.38571i	0.242382	−	0.203382i
$466$	5.06418	−	4.24935i	0.234594	−	0.196847i
$467$	−7.77332	+	13.4638i	−0.359706	+	0.623030i	−0.987912	−	0.155018i	$-0.950456\pi$
$467$	−7.77332	+	13.4638i	−0.359706	+	0.623030i	0.628205	+	0.778048i	$0.283790\pi$
$468$	−1.19459	−	2.06910i	−0.0552201	−	0.0956440i
$469$	18.2986	+	6.66015i	0.844951	+	0.307537i
$470$	0.946967	−	5.37051i	0.0436803	−	0.247723i
$471$	0.0432332	+	0.245188i	0.00199208	+	0.0112977i
$472$	−8.88326	+	3.23324i	−0.408885	+	0.148822i
$473$	−8.72462	−	7.32083i	−0.401159	−	0.336612i
$474$	−9.64590			−0.443051
$475$	3.37939	−	2.75314i	0.155057	−	0.126323i
$476$	−1.13785			−0.0521533
$477$	4.61334	+	3.87105i	0.211230	+	0.177243i
$478$	−14.8871	+	5.41847i	−0.680921	+	0.247835i
$479$	−3.12567	−	17.7265i	−0.142815	−	0.809946i	−0.969095	−	0.246687i	$-0.920658\pi$
$479$	−3.12567	−	17.7265i	−0.142815	−	0.809946i	0.826280	−	0.563260i	$-0.190453\pi$
$480$	−0.173648	+	0.984808i	−0.00792592	+	0.0449501i
$481$	21.0970	+	7.67869i	0.961942	+	0.350118i
$482$	−3.32295	−	5.75552i	−0.151356	−	0.262157i
$483$	−15.8071	+	27.3786i	−0.719246	+	1.24577i
$484$	−6.62836	+	5.56185i	−0.301289	+	0.252811i
$485$	4.41147	−	3.70167i	0.200315	−	0.168084i
$486$	−0.500000	+	0.866025i	−0.0226805	+	0.0392837i
$487$	−2.31386	−	4.00773i	−0.104851	−	0.181608i	0.808826	−	0.588048i	$-0.200103\pi$
$487$	−2.31386	−	4.00773i	−0.104851	−	0.181608i	−0.913677	+	0.406440i	$0.866770\pi$
$488$	2.45336	+	0.892951i	0.111059	+	0.0404220i
$489$	0.980400	−	5.56012i	0.0443352	−	0.251437i
$490$	2.64796	+	15.0173i	0.119622	+	0.678413i
$491$	32.6095	−	11.8689i	1.47165	−	0.535636i	0.523100	−	0.852271i	$-0.324775\pi$
$491$	32.6095	−	11.8689i	1.47165	−	0.535636i	0.948547	+	0.316635i	$0.102553\pi$
$492$	9.18139	+	7.70410i	0.413929	+	0.347328i
$493$	−0.424267			−0.0191080
$494$	−10.4131	−	0.151003i	−0.468509	−	0.00679395i
$495$	1.53209			0.0688623
$496$	5.22668	+	4.38571i	0.234685	+	0.196924i
$497$	32.3806	−	11.7856i	1.45247	−	0.528656i
$498$	−1.71688	−	9.73692i	−0.0769353	−	0.436322i
$499$	−4.96105	+	28.1355i	−0.222087	+	1.25952i	0.646089	+	0.763262i	$0.276403\pi$
$499$	−4.96105	+	28.1355i	−0.222087	+	1.25952i	−0.868176	+	0.496256i	$0.834708\pi$
$500$	0.939693	+	0.342020i	0.0420243	+	0.0152956i
$501$	6.42649	+	11.1310i	0.287114	+	0.497297i
$502$	−14.4855	+	25.0895i	−0.646517	+	1.11980i
$503$	6.14724	−	5.15815i	0.274092	−	0.229990i	−0.495372	−	0.868681i	$-0.664968\pi$
$503$	6.14724	−	5.15815i	0.274092	−	0.229990i	0.769464	+	0.638691i	$0.220524\pi$
$504$	−3.61334	+	3.03195i	−0.160951	+	0.135054i
$505$	5.18479	−	8.98032i	0.230720	−	0.399619i
$506$	5.13429	+	8.89284i	0.228247	+	0.395335i
$507$	−6.85204	−	2.49394i	−0.304310	−	0.110760i
$508$	−3.80200	+	21.5622i	−0.168687	+	0.956669i
$509$	1.18748	+	6.73454i	0.0526342	+	0.298503i	0.999749	−	0.0223908i	$-0.00712780\pi$
$509$	1.18748	+	6.73454i	0.0526342	+	0.298503i	−0.947115	+	0.320894i	$0.896017\pi$
$510$	−0.226682	+	0.0825054i	−0.0100376	+	0.00365340i
$511$	−15.7888	−	13.2484i	−0.698455	−	0.586074i
$512$	−1.00000			−0.0441942
$513$	2.12449	+	3.80612i	0.0937983	+	0.168044i
$514$	−13.0351			−0.574953
$515$	11.3380	+	9.51368i	0.499610	+	0.419223i
$516$	6.98545	−	2.54250i	0.307517	−	0.111927i
$517$	−1.45084	−	8.22811i	−0.0638077	−	0.361872i
$518$	7.69681	−	43.6508i	0.338179	−	1.91791i
$519$	−11.7160	−	4.26428i	−0.514275	−	0.187181i
$520$	−1.19459	−	2.06910i	−0.0523864	−	0.0907358i
$521$	−0.147956	+	0.256267i	−0.00648207	+	0.0112273i	−0.869248	−	0.494376i	$-0.835397\pi$
$521$	−0.147956	+	0.256267i	−0.00648207	+	0.0112273i	0.862766	+	0.505603i	$0.168730\pi$
$522$	−1.34730	+	1.13052i	−0.0589696	+	0.0494813i
$523$	21.3628	−	17.9255i	0.934129	−	0.783827i	−0.0424250	−	0.999100i	$-0.513508\pi$
$523$	21.3628	−	17.9255i	0.934129	−	0.783827i	0.976554	+	0.215272i	$0.0690639\pi$
$524$	−5.35117	+	9.26849i	−0.233767	+	0.404896i
$525$	2.35844	+	4.08494i	0.102931	+	0.178281i
$526$	−1.89306	−	0.689016i	−0.0825412	−	0.0300425i
$527$	−0.285807	+	1.62089i	−0.0124499	+	0.0706071i
$528$	0.266044	+	1.50881i	0.0115781	+	0.0656627i
$529$	−20.5993	+	7.49752i	−0.895620	+	0.325979i
$530$	4.61334	+	3.87105i	0.200391	+	0.168148i
$531$	−9.45336			−0.410241
$532$	3.27631	+	20.2977i	0.142046	+	0.880016i
$533$	−28.6355			−1.24034
$534$	−3.87346	−	3.25022i	−0.167621	−	0.140651i
$535$	−10.3696	+	3.77422i	−0.448316	+	0.163174i
$536$	0.716881	+	4.06564i	0.0309646	+	0.175609i
$537$	−1.92943	+	10.9423i	−0.0832609	+	0.472196i
$538$	−19.5253	−	7.10662i	−0.841795	−	0.306388i
$539$	11.6814	+	20.2328i	0.503153	+	0.871487i
$540$	−0.500000	+	0.866025i	−0.0215166	+	0.0372678i
$541$	12.9813	−	10.8926i	0.558111	−	0.468311i	−0.319565	−	0.947564i	$-0.603537\pi$
$541$	12.9813	−	10.8926i	0.558111	−	0.468311i	0.877677	+	0.479253i	$0.159092\pi$
$542$	−17.8530	+	14.9804i	−0.766851	+	0.643464i
$543$	4.43376	−	7.67950i	0.190271	−	0.329559i
$544$	−0.120615	−	0.208911i	−0.00517132	−	0.00895698i
$545$	−10.1702	−	3.70167i	−0.435645	−	0.158562i
$546$	1.95693	−	11.0983i	0.0837488	−	0.474963i
$547$	−5.22399	−	29.6267i	−0.223362	−	1.26675i	−0.865792	−	0.500404i	$-0.833185\pi$
$547$	−5.22399	−	29.6267i	−0.223362	−	1.26675i	0.642430	−	0.766344i	$-0.277926\pi$
$548$	1.34730	−	0.490376i	0.0575536	−	0.0209478i
$549$	2.00000	+	1.67820i	0.0853579	+	0.0716238i
$550$	1.53209			0.0653285
$551$	1.22163	+	7.56834i	0.0520432	+	0.322422i
$552$	−6.70233			−0.285270
$553$	−34.8539	−	29.2459i	−1.48214	−	1.24366i
$554$	19.4008	−	7.06131i	0.824261	−	0.300006i
$555$	−1.63176	−	9.25417i	−0.0692643	−	0.392817i
$556$	2.61422	−	14.8260i	0.110868	−	0.628761i
$557$	24.1570	+	8.79244i	1.02357	+	0.372548i	0.798628	−	0.601825i	$-0.205560\pi$
$557$	24.1570	+	8.79244i	1.02357	+	0.372548i	0.224939	+	0.974373i	$0.427782\pi$
$558$	3.41147	+	5.90885i	0.144419	+	0.250141i
$559$	−8.88032	+	15.3812i	−0.375597	+	0.650554i
$560$	−3.61334	+	3.03195i	−0.152692	+	0.128123i
$561$	−0.283119	+	0.237565i	−0.0119533	+	0.0100300i
$562$	7.94016	−	13.7528i	0.334935	−	0.580125i
$563$	−6.56717	−	11.3747i	−0.276773	−	0.479385i	0.693808	−	0.720160i	$-0.255932\pi$
$563$	−6.56717	−	11.3747i	−0.276773	−	0.479385i	−0.970581	+	0.240775i	$0.922598\pi$
$564$	5.12449	+	1.86516i	0.215780	+	0.0785374i
$565$	−2.04189	+	11.5801i	−0.0859029	+	0.487180i
$566$	2.63041	+	14.9178i	0.110565	+	0.627043i
$567$	−4.43242	+	1.61327i	−0.186144	+	0.0677509i
$568$	5.59627	+	4.69583i	0.234814	+	0.197032i
$569$	14.4020			0.603762			0.301881	−	0.953346i	$-0.402385\pi$
$569$	14.4020			0.603762			0.301881	+	0.953346i	$0.402385\pi$
$570$	2.12449	+	3.80612i	0.0889849	+	0.159421i
$571$	12.5722			0.526131			0.263066	−	0.964778i	$-0.415266\pi$
$571$	12.5722			0.526131			0.263066	+	0.964778i	$0.415266\pi$
$572$	−2.80406	−	2.35289i	−0.117244	−	0.0983792i
$573$	11.2490	−	4.09429i	0.469932	−	0.171041i
$574$	9.81702	+	55.6751i	0.409754	+	2.32383i
$575$	−1.16385	+	6.60051i	−0.0485358	+	0.275260i
$576$	−0.939693	−	0.342020i	−0.0391539	−	0.0142508i
$577$	−13.9067	−	24.0872i	−0.578945	−	1.00276i	−0.995601	−	0.0936973i	$-0.970131\pi$
$577$	−13.9067	−	24.0872i	−0.578945	−	1.00276i	0.416656	−	0.909064i	$-0.363202\pi$
$578$	−8.47090	+	14.6720i	−0.352343	+	0.610276i
$579$	6.69459	−	5.61743i	0.278218	−	0.233452i
$580$	−1.34730	+	1.13052i	−0.0559434	+	0.0469421i
$581$	23.3182	−	40.3883i	0.967402	−	1.67559i
$582$	2.87939	+	4.98724i	0.119354	+	0.206728i
$583$	8.67024	+	3.15571i	0.359085	+	0.130696i
$584$	0.758770	−	4.30320i	0.0313981	−	0.178068i
$585$	−0.414878	−	2.35289i	−0.0171531	−	0.0972800i
$586$	26.0415	−	9.47832i	1.07576	−	0.391546i
$587$	10.4875	+	8.80007i	0.432866	+	0.363218i	0.833032	−	0.553225i	$-0.186603\pi$
$587$	10.4875	+	8.80007i	0.432866	+	0.363218i	−0.400166	+	0.916443i	$0.631047\pi$
$588$	−15.2490			−0.628857
$589$	29.7374	+	0.431229i	1.22531	+	0.0177685i
$590$	−9.45336			−0.389189
$591$	−14.3739	−	12.0612i	−0.591264	−	0.496130i
$592$	8.83022	−	3.21394i	0.362920	−	0.132092i
$593$	−4.68180	−	26.5518i	−0.192258	−	1.09035i	−0.916269	−	0.400563i	$-0.868815\pi$
$593$	−4.68180	−	26.5518i	−0.192258	−	1.09035i	0.724011	−	0.689789i	$-0.242297\pi$
$594$	−0.266044	+	1.50881i	−0.0109159	+	0.0619073i
$595$	−1.06923	−	0.389168i	−0.0438342	−	0.0159543i
$596$	6.43376	+	11.1436i	0.263537	+	0.456460i
$597$	−3.32770	+	5.76374i	−0.136194	+	0.235894i
$598$	12.2668	−	10.2930i	0.501625	−	0.420913i
$599$	−19.0496	+	15.9845i	−0.778347	+	0.653110i	−0.942832	−	0.333269i	$-0.891848\pi$
$599$	−19.0496	+	15.9845i	−0.778347	+	0.653110i	0.164485	+	0.986380i	$0.447404\pi$
$600$	−0.500000	+	0.866025i	−0.0204124	+	0.0353553i
$601$	17.1356	+	29.6798i	0.698977	+	1.21066i	0.968822	+	0.247760i	$0.0796943\pi$
$601$	17.1356	+	29.6798i	0.698977	+	1.21066i	−0.269845	+	0.962904i	$0.586972\pi$
$602$	32.9495	+	11.9927i	1.34292	+	0.488784i
$603$	−0.716881	+	4.06564i	−0.0291937	+	0.165566i
$604$	−0.0418891	−	0.237565i	−0.00170444	−	0.00966637i
$605$	−8.13088	+	2.95940i	−0.330567	+	0.120317i
$606$	7.94356	+	6.66544i	0.322685	+	0.270765i
$607$	−42.3492			−1.71890			−0.859450	−	0.511220i	$-0.829194\pi$
$607$	−42.3492			−1.71890			−0.859450	+	0.511220i	$0.829194\pi$
$608$	−3.37939	+	2.75314i	−0.137052	+	0.111654i
$609$	−8.29591			−0.336167
$610$	2.00000	+	1.67820i	0.0809776	+	0.0679483i
$611$	−12.2433	+	4.45621i	−0.495313	+	0.180279i
$612$	−0.0418891	−	0.237565i	−0.00169327	−	0.00960298i
$613$	−2.02987	+	11.5119i	−0.0819856	+	0.464963i	0.915981	+	0.401222i	$0.131414\pi$
$613$	−2.02987	+	11.5119i	−0.0819856	+	0.464963i	−0.997966	+	0.0637414i	$0.979697\pi$
$614$	3.34224	+	1.21648i	0.134882	+	0.0490930i
$615$	5.99273	+	10.3797i	0.241650	+	0.418550i
$616$	−3.61334	+	6.25849i	−0.145586	+	0.252162i
$617$	19.0155	−	15.9559i	0.765534	−	0.642360i	−0.174027	−	0.984741i	$-0.555678\pi$
$617$	19.0155	−	15.9559i	0.765534	−	0.642360i	0.939561	+	0.342381i	$0.111233\pi$
$618$	−11.3380	+	9.51368i	−0.456080	+	0.382696i
$619$	2.05572	−	3.56061i	0.0826264	−	0.143113i	−0.821751	−	0.569847i	$-0.807003\pi$
$619$	2.05572	−	3.56061i	0.0826264	−	0.143113i	0.904377	+	0.426734i	$0.140336\pi$
$620$	3.41147	+	5.90885i	0.137008	+	0.237305i
$621$	−6.29813	−	2.29233i	−0.252735	−	0.0919882i
$622$	5.15570	−	29.2394i	0.206725	−	1.17239i
$623$	−4.14162	−	23.4883i	−0.165930	−	0.941038i
$624$	2.24510	−	0.817150i	0.0898759	−	0.0327122i
$625$	0.766044	+	0.642788i	0.0306418	+	0.0257115i
$626$	28.2668			1.12977
$627$	5.05303	+	4.36640i	0.201799	+	0.174377i
$628$	−0.248970			−0.00993500
$629$	1.73648	+	1.45708i	0.0692381	+	0.0580976i
$630$	−4.43242	+	1.61327i	−0.176592	+	0.0642742i
$631$	−8.61587	−	48.8630i	−0.342992	−	1.94521i	−0.326060	−	0.945349i	$-0.605721\pi$
$631$	−8.61587	−	48.8630i	−0.342992	−	1.94521i	−0.0169322	−	0.999857i	$-0.505390\pi$
$632$	1.67499	−	9.49935i	0.0666276	−	0.377864i
$633$	15.2626	+	5.55515i	0.606636	+	0.220797i
$634$	13.4119	+	23.2302i	0.532656	+	0.922588i
$635$	−10.9474	+	18.9615i	−0.434436	+	0.752465i
$636$	−4.61334	+	3.87105i	−0.182931	+	0.153497i
$637$	27.9090	−	23.4184i	1.10580	−	0.927872i
$638$	−1.34730	+	2.33359i	−0.0533400	+	0.0923875i
$639$	3.65270	+	6.32667i	0.144499	+	0.250279i
$640$	−0.939693	−	0.342020i	−0.0371446	−	0.0135195i
$641$	5.16179	−	29.2740i	0.203878	−	1.15625i	−0.695317	−	0.718704i	$-0.744736\pi$
$641$	5.16179	−	29.2740i	0.203878	−	1.15625i	0.899195	−	0.437548i	$-0.144153\pi$
$642$	−1.91622	−	10.8674i	−0.0756272	−	0.428903i
$643$	−46.0506	+	16.7610i	−1.81606	+	0.660991i	−0.819991	+	0.572377i	$0.806022\pi$
$643$	−46.0506	+	16.7610i	−1.81606	+	0.660991i	−0.996066	+	0.0886141i	$0.971756\pi$
$644$	−24.2178	−	20.3212i	−0.954316	−	0.800766i
$645$	7.43376			0.292704
$646$	−0.982764	−	0.373922i	−0.0386663	−	0.0147117i
$647$	−42.9590			−1.68889			−0.844447	−	0.535639i	$-0.820071\pi$
$647$	−42.9590			−1.68889			−0.844447	+	0.535639i	$0.820071\pi$
$648$	−0.766044	−	0.642788i	−0.0300931	−	0.0252511i
$649$	−13.6099	+	4.95361i	−0.534237	+	0.194446i
$650$	−0.414878	−	2.35289i	−0.0162728	−	0.0922879i
$651$	−5.58853	+	31.6941i	−0.219032	+	1.24219i
$652$	5.30541	+	1.93101i	0.207776	+	0.0756242i
$653$	5.12402	+	8.87506i	0.200518	+	0.347308i	0.948696	−	0.316191i	$-0.102404\pi$
$653$	5.12402	+	8.87506i	0.200518	+	0.347308i	−0.748177	+	0.663499i	$0.769071\pi$
$654$	5.41147	−	9.37295i	0.211605	−	0.366511i
$655$	−8.19846	+	6.87933i	−0.320340	+	0.268798i
$656$	−9.18139	+	7.70410i	−0.358473	+	0.300795i
$657$	2.18479	−	3.78417i	0.0852369	−	0.147635i
$658$	12.8614	+	22.2767i	0.501391	+	0.868434i
$659$	10.9572	+	3.98811i	0.426833	+	0.155355i	0.546499	−	0.837460i	$-0.315960\pi$
$659$	10.9572	+	3.98811i	0.426833	+	0.155355i	−0.119666	+	0.992814i	$0.538182\pi$
$660$	−0.266044	+	1.50881i	−0.0103558	+	0.0587305i
$661$	−6.39693	−	36.2788i	−0.248812	−	1.41108i	−0.811471	−	0.584392i	$-0.801333\pi$
$661$	−6.39693	−	36.2788i	−0.248812	−	1.41108i	0.562660	−	0.826689i	$-0.309778\pi$
$662$	6.88578	−	2.50622i	0.267624	−	0.0974070i
$663$	0.441504	+	0.370466i	0.0171466	+	0.0143877i
$664$	9.88713			0.383695
$665$	−3.86349	+	20.1942i	−0.149820	+	0.783096i
$666$	9.39693			0.364123
$667$	−9.03003	−	7.57709i	−0.349644	−	0.293386i
$668$	−12.0778	+	4.39598i	−0.467306	+	0.170085i
$669$	−4.77079	−	27.0565i	−0.184449	−	1.04606i
$670$	−0.716881	+	4.06564i	−0.0276955	+	0.157069i
$671$	3.75877	+	1.36808i	0.145106	+	0.0528142i
$672$	−2.35844	−	4.08494i	−0.0909788	−	0.157580i
$673$	5.39187	−	9.33900i	0.207841	−	0.359992i	−0.743193	−	0.669077i	$-0.766690\pi$
$673$	5.39187	−	9.33900i	0.207841	−	0.359992i	0.951034	+	0.309085i	$0.100023\pi$
$674$	0.359156	−	0.301368i	0.0138342	−	0.0116082i
$675$	−0.766044	+	0.642788i	−0.0294851	+	0.0247409i
$676$	3.64590	−	6.31488i	0.140227	−	0.242880i
$677$	6.28699	+	10.8894i	0.241629	+	0.418513i	0.961178	−	0.275928i	$-0.0889851\pi$
$677$	6.28699	+	10.8894i	0.241629	+	0.418513i	−0.719550	+	0.694441i	$0.755652\pi$
$678$	−11.0496	−	4.02174i	−0.424358	−	0.154454i
$679$	−4.71688	+	26.7508i	−0.181017	+	1.02660i
$680$	−0.0418891	−	0.237565i	−0.00160637	−	0.00911019i
$681$	0.0273411	−	0.00995136i	0.00104771	−	0.000381337i
$682$	8.00774	+	6.71929i	0.306632	+	0.257295i
$683$	−14.5217			−0.555656			−0.277828	−	0.960631i	$-0.589615\pi$
$683$	−14.5217			−0.555656			−0.277828	+	0.960631i	$0.589615\pi$
$684$	−4.11721	+	1.43128i	−0.157426	+	0.0547265i
$685$	1.43376			0.0547813
$686$	−29.8063	−	25.0105i	−1.13801	−	0.954905i
$687$	−19.2986	+	7.02412i	−0.736288	+	0.267987i
$688$	1.29086	+	7.32083i	0.0492136	+	0.279104i
$689$	2.49851	−	14.1698i	0.0951858	−	0.539825i
$690$	−6.29813	−	2.29233i	−0.239766	−	0.0872676i
$691$	17.4085	+	30.1525i	0.662252	+	1.14705i	0.980023	+	0.198886i	$0.0637325\pi$
$691$	17.4085	+	30.1525i	0.662252	+	1.14705i	−0.317771	+	0.948168i	$0.602934\pi$
$692$	6.23396	−	10.7975i	0.236979	−	0.410460i
$693$	−5.53596	+	4.64522i	−0.210294	+	0.176457i
$694$	−10.2686	+	8.61635i	−0.389790	+	0.327072i
$695$	7.52734	−	13.0377i	0.285528	−	0.494550i
$696$	−0.879385	−	1.52314i	−0.0333330	−	0.0577345i
$697$	−2.71688	−	0.988864i	−0.102909	−	0.0374559i
$698$	−5.05913	+	28.6917i	−0.191491	+	1.08600i
$699$	1.14796	+	6.51038i	0.0434197	+	0.246245i
$700$	−4.43242	+	1.61327i	−0.167530	+	0.0609758i
$701$	16.7365	+	14.0436i	0.632128	+	0.530419i	0.901589	−	0.432593i	$-0.142401\pi$
$701$	16.7365	+	14.0436i	0.632128	+	0.530419i	−0.269461	+	0.963011i	$0.586846\pi$
$702$	2.38919			0.0901740
$703$	20.9923	−	35.1719i	0.791740	−	1.32653i
$704$	−1.53209			−0.0577428
$705$	4.17752	+	3.50535i	0.157334	+	0.132019i
$706$	1.54664	−	0.562930i	0.0582084	−	0.0211861i
$707$	8.49350	+	48.1690i	0.319431	+	1.81158i
$708$	1.64156	−	9.30975i	0.0616936	−	0.349882i
$709$	−3.35679	−	1.22177i	−0.126067	−	0.0458846i	0.278216	−	0.960518i	$-0.410257\pi$
$709$	−3.35679	−	1.22177i	−0.126067	−	0.0458846i	−0.404283	+	0.914634i	$0.632479\pi$
$710$	3.65270	+	6.32667i	0.137084	+	0.237436i
$711$	4.82295	−	8.35359i	0.180875	−	0.313284i
$712$	3.87346	−	3.25022i	0.145164	−	0.121807i
$713$	−35.0310	+	29.3945i	−1.31192	+	1.10083i
$714$	0.568926	−	0.985408i	0.0212915	−	0.0368780i
$715$	−1.83022	−	3.17004i	−0.0684464	−	0.118553i
$716$	−10.4410	−	3.80023i	−0.390200	−	0.142021i
$717$	2.75103	−	15.6019i	0.102739	−	0.582662i
$718$	5.38919	+	30.5636i	0.201123	+	1.14062i
$719$	−6.59627	+	2.40084i	−0.245999	+	0.0895364i	−0.462077	−	0.886840i	$-0.652896\pi$
$719$	−6.59627	+	2.40084i	−0.245999	+	0.0895364i	0.216078	+	0.976376i	$0.430673\pi$
$720$	−0.766044	−	0.642788i	−0.0285488	−	0.0239553i
$721$	−69.8130			−2.59997
$722$	−3.84049	+	18.6078i	−0.142928	+	0.692511i
$723$	6.64590			0.247164
$724$	6.79292	+	5.69994i	0.252457	+	0.211836i
$725$	−1.65270	+	0.601535i	−0.0613799	+	0.0223404i
$726$	−1.50253	−	8.52125i	−0.0557640	−	0.316253i
$727$	6.85204	−	38.8599i	0.254128	−	1.44123i	−0.544172	−	0.838974i	$-0.683156\pi$
$727$	6.85204	−	38.8599i	0.254128	−	1.44123i	0.798300	−	0.602259i	$-0.205733\pi$
$728$	10.5899	+	3.85440i	0.392487	+	0.142853i
$729$	−0.500000	−	0.866025i	−0.0185185	−	0.0320750i
$730$	2.18479	−	3.78417i	0.0808628	−	0.140058i
$731$	−1.37370	+	1.15267i	−0.0508083	+	0.0426332i
$732$	−2.00000	+	1.67820i	−0.0739221	+	0.0620280i
$733$	−8.73989	+	15.1379i	−0.322815	+	0.559132i	−0.981068	−	0.193665i	$-0.937963\pi$
$733$	−8.73989	+	15.1379i	−0.322815	+	0.559132i	0.658253	+	0.752797i	$0.271296\pi$
$734$	−10.0740	−	17.4486i	−0.371837	−	0.644041i
$735$	−14.3293	−	5.21546i	−0.528546	−	0.192375i
$736$	1.16385	−	6.60051i	0.0429000	−	0.243298i
$737$	1.09833	+	6.22892i	0.0404574	+	0.229445i
$738$	−11.2626	+	4.09927i	−0.414584	+	0.150896i
$739$	−4.17886	−	3.50648i	−0.153722	−	0.128988i	0.562683	−	0.826673i	$-0.309769\pi$
$739$	−4.17886	−	3.50648i	−0.153722	−	0.128988i	−0.716405	+	0.697685i	$0.754214\pi$
$740$	9.39693			0.345438
$741$	5.33733	−	8.94253i	0.196072	−	0.328512i
$742$	−28.4064			−1.04283
$743$	−11.4440	−	9.60268i	−0.419841	−	0.352288i	0.408262	−	0.912865i	$-0.366135\pi$
$743$	−11.4440	−	9.60268i	−0.419841	−	0.352288i	−0.828103	+	0.560577i	$0.810580\pi$
$744$	−6.41147	+	2.33359i	−0.235056	+	0.0855534i
$745$	2.23442	+	12.6720i	0.0818629	+	0.464268i
$746$	3.32114	−	18.8351i	0.121595	−	0.689602i
$747$	9.29086	+	3.38160i	0.339935	+	0.123726i
$748$	−0.184793	−	0.320070i	−0.00675668	−	0.0117029i
$749$	26.0256	−	45.0776i	0.950954	−	1.64710i
$750$	−0.766044	+	0.642788i	−0.0279720	+	0.0234713i
$751$	−1.25671	+	1.05451i	−0.0458580	+	0.0384795i	−0.665429	−	0.746461i	$-0.731751\pi$
$751$	−1.25671	+	1.05451i	−0.0458580	+	0.0384795i	0.619571	+	0.784941i	$0.287307\pi$
$752$	−2.72668	+	4.72275i	−0.0994318	+	0.172221i
$753$	−14.4855	−	25.0895i	−0.527879	−	0.914314i
$754$	3.94862	+	1.43718i	0.143800	+	0.0523390i
$755$	0.0418891	−	0.237565i	0.00152450	−	0.00864586i
$756$	−0.819078	−	4.64522i	−0.0297896	−	0.168945i
$757$	7.14203	−	2.59948i	0.259581	−	0.0944799i	−0.208951	−	0.977926i	$-0.567005\pi$
$757$	7.14203	−	2.59948i	0.259581	−	0.0944799i	0.468533	+	0.883446i	$0.344783\pi$
$758$	−2.80793	−	2.35614i	−0.101989	−	0.0855787i
$759$	−10.2686			−0.372726
$760$	−4.11721	+	1.43128i	−0.149347	+	0.0519181i
$761$	−12.0145			−0.435527			−0.217764	−	0.976002i	$-0.569876\pi$
$761$	−12.0145			−0.435527			−0.217764	+	0.976002i	$0.569876\pi$
$762$	−16.7724	−	14.0737i	−0.607601	−	0.509838i
$763$	47.9718	−	17.4603i	1.73670	−	0.632106i
$764$	2.07873	+	11.7890i	0.0752057	+	0.426512i
$765$	0.0418891	−	0.237565i	0.00151450	−	0.00858917i
$766$	29.6771	+	10.8016i	1.07228	+	0.390277i
$767$	11.2929	+	19.5599i	0.407764	+	0.706267i
$768$	0.500000	−	0.866025i	0.0180422	−	0.0312500i
$769$	−18.7815	+	15.7596i	−0.677279	+	0.568305i	−0.915210	−	0.402977i	$-0.867975\pi$
$769$	−18.7815	+	15.7596i	−0.677279	+	0.568305i	0.237931	+	0.971282i	$0.423531\pi$
$770$	−5.53596	+	4.64522i	−0.199502	+	0.167402i
$771$	6.51754	−	11.2887i	0.234724	−	0.406553i
$772$	4.36959	+	7.56834i	0.157265	+	0.272391i
$773$	35.7720	+	13.0200i	1.28663	+	0.468295i	0.892620	−	0.450811i	$-0.148865\pi$
$773$	35.7720	+	13.0200i	1.28663	+	0.468295i	0.394011	+	0.919106i	$0.371087\pi$
$774$	−1.29086	+	7.32083i	−0.0463990	+	0.263142i
$775$	1.18479	+	6.71929i	0.0425590	+	0.241364i
$776$	−5.41147	+	1.96962i	−0.194261	+	0.0707051i
$777$	33.9543	+	28.4910i	1.21810	+	1.02211i
$778$	5.32089			0.190763
$779$	−9.81702	+	51.3127i	−0.351731	+	1.83847i
$780$	2.38919			0.0855466
$781$	8.57398	+	7.19442i	0.306801	+	0.257437i
$782$	1.51930	−	0.552978i	0.0543299	−	0.0197745i
$783$	−0.305407	−	1.73205i	−0.0109144	−	0.0618984i
$784$	2.64796	−	15.0173i	0.0945699	−	0.536332i
$785$	−0.233956	−	0.0851529i	−0.00835023	−	0.00303924i
$786$	−5.35117	−	9.26849i	−0.190870	−	0.330596i
$787$	−17.9094	+	31.0200i	−0.638402	+	1.10574i	0.347382	+	0.937724i	$0.387071\pi$
$787$	−17.9094	+	31.0200i	−0.638402	+	1.10574i	−0.985784	+	0.168020i	$0.946263\pi$
$788$	14.3739	−	12.0612i	0.512050	−	0.429661i
$789$	1.54323	−	1.29493i	0.0549406	−	0.0461006i
$790$	4.82295	−	8.35359i	0.171593	−	0.297207i
$791$	−27.7324	−	48.0339i	−0.986049	−	1.70789i
$792$	−1.43969	−	0.524005i	−0.0511572	−	0.0186197i
$793$	1.08317	−	6.14296i	0.0384644	−	0.218143i
$794$	−0.310622	−	1.76162i	−0.0110236	−	0.0625177i
$795$	−5.65910	+	2.05974i	−0.200708	+	0.0730516i
$796$	−5.09833	−	4.27800i	−0.180705	−	0.151630i
$797$	−0.300355			−0.0106391			−0.00531956	−	0.999986i	$-0.501693\pi$
$797$	−0.300355			−0.0106391			−0.00531956	+	0.999986i	$0.501693\pi$
$798$	−19.2165	−	7.31148i	−0.680256	−	0.258823i
$799$	−1.31551			−0.0465395
$800$	−0.766044	−	0.642788i	−0.0270838	−	0.0227260i
$801$	4.75150	−	1.72940i	0.167886	−	0.0611055i
$802$	−1.90404	−	10.7983i	−0.0672339	−	0.381303i
$803$	1.16250	−	6.59289i	0.0410239	−	0.232658i
$804$	−3.87939	−	1.41198i	−0.136815	−	0.0497967i
$805$	−15.8071	−	27.3786i	−0.557126	−	0.964970i
$806$	8.15064	−	14.1173i	0.287094	−	0.497262i
$807$	15.9172	−	13.3561i	0.560310	−	0.470156i
$808$	−7.94356	+	6.66544i	−0.279454	+	0.234489i
$809$	4.91147	−	8.50692i	0.172678	−	0.299087i	−0.766677	−	0.642033i	$-0.778091\pi$
$809$	4.91147	−	8.50692i	0.172678	−	0.299087i	0.939355	+	0.342945i	$0.111425\pi$
$810$	−0.500000	−	0.866025i	−0.0175682	−	0.0304290i
$811$	0.558086	+	0.203127i	0.0195970	+	0.00713274i	0.351800	−	0.936075i	$-0.385570\pi$
$811$	0.558086	+	0.203127i	0.0195970	+	0.00713274i	−0.332203	+	0.943208i	$0.607792\pi$
$812$	1.44057	−	8.16988i	0.0505541	−	0.286707i
$813$	−4.04694	−	22.9513i	−0.141932	−	0.804939i
$814$	13.5287	−	4.92404i	0.474180	−	0.172587i
$815$	4.32501	+	3.62911i	0.151498	+	0.127122i
$816$	0.241230			0.00844472
$817$	24.5175	+	21.1860i	0.857760	+	0.741204i
$818$	9.73648			0.340428
$819$	8.63294	+	7.24390i	0.301659	+	0.253122i
$820$	−11.2626	+	4.09927i	−0.393308	+	0.143153i
$821$	1.90404	+	10.7983i	0.0664514	+	0.376865i	0.999838	+	0.0179924i	$0.00572747\pi$
$821$	1.90404	+	10.7983i	0.0664514	+	0.376865i	−0.933387	+	0.358872i	$0.883161\pi$
$822$	−0.248970	+	1.41198i	−0.00868384	+	0.0492485i
$823$	−46.5899	−	16.9573i	−1.62402	−	0.591096i	−0.639880	−	0.768475i	$-0.721016\pi$
$823$	−46.5899	−	16.9573i	−1.62402	−	0.591096i	−0.984143	+	0.177379i	$0.943238\pi$
$824$	−7.40033	−	12.8177i	−0.257803	−	0.446527i
$825$	−0.766044	+	1.32683i	−0.0266702	+	0.0461942i
$826$	34.1582	−	28.6622i	1.18852	−	0.997284i
$827$	26.9368	−	22.6026i	0.936683	−	0.785970i	−0.0403222	−	0.999187i	$-0.512838\pi$
$827$	26.9368	−	22.6026i	0.936683	−	0.785970i	0.977005	+	0.213217i	$0.0683940\pi$
$828$	3.35117	−	5.80439i	0.116461	−	0.201717i
$829$	0.958111	+	1.65950i	0.0332766	+	0.0576367i	0.882184	−	0.470905i	$-0.156072\pi$
$829$	0.958111	+	1.65950i	0.0332766	+	0.0576367i	−0.848907	+	0.528541i	$0.822739\pi$
$830$	9.29086	+	3.38160i	0.322490	+	0.117377i
$831$	−3.58512	+	20.3322i	−0.124367	+	0.705318i
$832$	0.414878	+	2.35289i	0.0143833	+	0.0815717i
$833$	3.45666	−	1.25812i	0.119766	−	0.0435913i
$834$	11.5326	+	9.67696i	0.399340	+	0.335086i
$835$	−12.8530			−0.444796
$836$	−5.17752	+	4.21805i	−0.179068	+	0.145884i
$837$	−6.82295			−0.235836
$838$	−13.3157	−	11.1732i	−0.459982	−	0.385971i
$839$	48.3046	−	17.5814i	1.66766	−	0.606978i	0.676121	−	0.736791i	$-0.263660\pi$
$839$	48.3046	−	17.5814i	1.66766	−	0.606978i	0.991539	+	0.129812i	$0.0414375\pi$
$840$	−0.819078	−	4.64522i	−0.0282609	−	0.160275i
$841$	−4.49866	+	25.5131i	−0.155126	+	0.879764i
$842$	−36.5749	−	13.3122i	−1.26045	−	0.458768i
$843$	7.94016	+	13.7528i	0.273474	+	0.473670i
$844$	−8.12108	+	14.0661i	−0.279539	+	0.484176i
$845$	5.58584	−	4.68707i	0.192159	−	0.161240i
$846$	−4.17752	+	3.50535i	−0.143626	+	0.120517i
$847$	20.4069	−	35.3458i	0.701189	−	1.21449i
$848$	−3.01114	−	5.21546i	−0.103403	−	0.179099i
$849$	−14.2344	−	5.18091i	−0.488524	−	0.177808i
$850$	0.0418891	−	0.237565i	0.00143678	−	0.00814840i
$851$	10.9366	+	62.0245i	0.374902	+	2.12617i
$852$	−6.86484	+	2.49860i	−0.235185	+	0.0856005i
$853$	18.9244	+	15.8795i	0.647960	+	0.543703i	0.906451	−	0.422311i	$-0.138781\pi$
$853$	18.9244	+	15.8795i	0.647960	+	0.543703i	−0.258491	+	0.966014i	$0.583225\pi$
$854$	−12.3149			−0.421407
$855$	−4.35844	−	0.0632028i	−0.149056	−	0.00216149i
$856$	11.0351			0.377171
$857$	25.3405	+	21.2632i	0.865615	+	0.726337i	0.963170	−	0.268893i	$-0.0866579\pi$
$857$	25.3405	+	21.2632i	0.865615	+	0.726337i	−0.0975554	+	0.995230i	$0.531102\pi$
$858$	3.43969	−	1.25195i	0.117429	−	0.0427407i
$859$	−6.90049	−	39.1346i	−0.235442	−	1.33526i	−0.841681	−	0.539974i	$-0.818434\pi$
$859$	−6.90049	−	39.1346i	−0.235442	−	1.33526i	0.606240	−	0.795282i	$-0.292677\pi$
$860$	−1.29086	+	7.32083i	−0.0440179	+	0.249638i
$861$	−53.1245	−	19.3358i	−1.81048	−	0.658961i
$862$	−6.50980	−	11.2753i	−0.221725	−	0.384038i
$863$	−11.2194	+	19.4326i	−0.381913	+	0.661493i	−0.991336	−	0.131353i	$-0.958068\pi$
$863$	−11.2194	+	19.4326i	−0.381913	+	0.661493i	0.609423	+	0.792846i	$0.291401\pi$
$864$	0.766044	−	0.642788i	0.0260614	−	0.0218681i
$865$	9.55097	−	8.01422i	0.324743	−	0.272492i
$866$	1.04189	−	1.80460i	0.0354048	−	0.0613230i
$867$	−8.47090	−	14.6720i	−0.287687	−	0.498288i
$868$	−30.2422	−	11.0072i	−1.02649	−	0.373610i
$869$	2.56624	−	14.5539i	0.0870536	−	0.493706i
$870$	−0.305407	−	1.73205i	−0.0103543	−	0.0587220i
$871$	9.26857	−	3.37348i	0.314054	−	0.114306i
$872$	8.29086	+	6.95686i	0.280764	+	0.235589i
$873$	−5.75877			−0.194905
$874$	−14.2390	−	25.5099i	−0.481642	−	0.862885i
$875$	−4.71688			−0.159460
$876$	3.34730	+	2.80872i	0.113095	+	0.0948977i
$877$	−17.6155	+	6.41150i	−0.594832	+	0.216501i	−0.621853	−	0.783134i	$-0.713620\pi$
$877$	−17.6155	+	6.41150i	−0.594832	+	0.216501i	0.0270215	+	0.999635i	$0.491398\pi$
$878$	−2.45336	−	13.9137i	−0.0827970	−	0.469565i
$879$	−4.81227	+	27.2917i	−0.162314	+	0.920528i
$880$	−1.43969	−	0.524005i	−0.0485320	−	0.0176642i
$881$	22.4003	+	38.7985i	0.754686	+	1.30715i	0.945530	+	0.325535i	$0.105544\pi$
$881$	22.4003	+	38.7985i	0.754686	+	1.30715i	−0.190844	+	0.981620i	$0.561122\pi$
$882$	7.62449	−	13.2060i	0.256730	−	0.444669i
$883$	−6.48751	+	5.44367i	−0.218322	+	0.183194i	−0.745389	−	0.666630i	$-0.767736\pi$
$883$	−6.48751	+	5.44367i	−0.218322	+	0.183194i	0.527067	+	0.849824i	$0.323292\pi$
$884$	−0.441504	+	0.370466i	−0.0148494	+	0.0124601i
$885$	4.72668	−	8.18685i	0.158886	−	0.275198i
$886$	7.20439	+	12.4784i	0.242036	+	0.419219i
$887$	31.7139	+	11.5429i	1.06485	+	0.387574i	0.814248	−	0.580517i	$-0.197149\pi$
$887$	31.7139	+	11.5429i	1.06485	+	0.387574i	0.250602	+	0.968090i	$0.419372\pi$
$888$	−1.63176	+	9.25417i	−0.0547583	+	0.310549i
$889$	−17.9336	−	101.707i	−0.601474	−	3.41113i
$890$	4.75150	−	1.72940i	0.159271	−	0.0579697i
$891$	−1.17365	−	0.984808i	−0.0393187	−	0.0329923i
$892$	27.4739			0.919894
$893$	3.78787	+	23.4669i	0.126756	+	0.785291i
$894$	−12.8675			−0.430354
$895$	−8.51161	−	7.14209i	−0.284512	−	0.238734i
$896$	4.43242	−	1.61327i	0.148077	−	0.0538955i
$897$	2.78065	+	15.7698i	0.0928432	+	0.526540i
$898$	−1.30288	+	7.38901i	−0.0434777	+	0.246574i
$899$	−11.2763	−	4.10424i	−0.376086	−	0.136884i
$900$	−0.500000	−	0.866025i	−0.0166667	−	0.0288675i
$901$	0.726377	−	1.25812i	0.0241991	−	0.0419141i
$902$	−14.0667	+	11.8034i	−0.468370	+	0.393009i
$903$	−26.8607	+	22.5388i	−0.893869	+	0.750045i
$904$	5.87939	−	10.1834i	0.195545	−	0.338695i
$905$	4.43376	+	7.67950i	0.147383	+	0.255275i
$906$	0.226682	+	0.0825054i	0.00753099	+	0.00274106i
$907$	5.27725	−	29.9287i	0.175228	−	0.993768i	−0.762652	−	0.646809i	$-0.776103\pi$
$907$	5.27725	−	29.9287i	0.175228	−	0.993768i	0.937880	−	0.346959i	$-0.112786\pi$
$908$	0.00505244	+	0.0286538i	0.000167671	+	0.000950910i
$909$	−9.74422	+	3.54661i	−0.323195	+	0.117634i
$910$	8.63294	+	7.24390i	0.286179	+	0.240133i
$911$	−7.71957			−0.255761			−0.127880	−	0.991790i	$-0.540817\pi$
$911$	−7.71957			−0.255761			−0.127880	+	0.991790i	$0.540817\pi$
$912$	−0.694593	−	4.30320i	−0.0230003	−	0.142493i
$913$	15.1480			0.501324
$914$	9.20027	+	7.71995i	0.304318	+	0.255353i
$915$	−2.45336	+	0.892951i	−0.0811057	+	0.0295201i
$916$	−3.56624	−	20.2251i	−0.117832	−	0.668257i
$917$	8.76604	−	49.7147i	0.289480	−	1.64172i
$918$	0.226682	+	0.0825054i	0.00748161	+	0.00272308i
$919$	21.0770	+	36.5064i	0.695265	+	1.20423i	0.970091	+	0.242741i	$0.0780464\pi$
$919$	21.0770	+	36.5064i	0.695265	+	1.20423i	−0.274826	+	0.961494i	$0.588620\pi$
$920$	3.35117	−	5.80439i	0.110485	−	0.191365i
$921$	−2.72462	+	2.28623i	−0.0897794	+	0.0753338i
$922$	−26.2763	+	22.0484i	−0.865364	+	0.726127i
$923$	8.72699	−	15.1156i	0.287252	−	0.497535i
$924$	−3.61334	−	6.25849i	−0.118870	−	0.205889i
$925$	8.83022	+	3.21394i	0.290336	+	0.105674i
$926$	1.84002	−	10.4353i	0.0604669	−	0.342925i
$927$	−2.57011	−	14.5758i	−0.0844134	−	0.478732i
$928$	1.65270	−	0.601535i	0.0542527	−	0.0197464i
$929$	−21.4363	−	17.9872i	−0.703302	−	0.590140i	0.219409	−	0.975633i	$-0.429587\pi$
$929$	−21.4363	−	17.9872i	−0.703302	−	0.590140i	−0.922711	+	0.385493i	$0.874032\pi$
$930$	−6.82295			−0.223733
$931$	−32.3962	−	58.0394i	−1.06174	−	1.90217i
$932$	−6.61081			−0.216544
$933$	22.7442	+	19.0847i	0.744612	+	0.624804i
$934$	14.6091	−	5.31726i	0.478023	−	0.173986i
$935$	−0.0641778	−	0.363970i	−0.00209884	−	0.0119031i
$936$	−0.414878	+	2.35289i	−0.0135607	+	0.0769066i
$937$	37.1762	+	13.5310i	1.21449	+	0.442040i	0.868261	−	0.496108i	$-0.165238\pi$
$937$	37.1762	+	13.5310i	1.21449	+	0.442040i	0.346234	+	0.938148i	$0.387460\pi$
$938$	−9.73648	−	16.8641i	−0.317907	−	0.550632i
$939$	−14.1334	+	24.4798i	−0.461226	+	0.798867i
$940$	−4.17752	+	3.50535i	−0.136256	+	0.114332i
$941$	6.38919	−	5.36116i	0.208281	−	0.174769i	−0.532679	−	0.846317i	$-0.678815\pi$
$941$	6.38919	−	5.36116i	0.208281	−	0.174769i	0.740961	+	0.671548i	$0.234370\pi$
$942$	0.124485	−	0.215615i	0.00405595	−	0.00702510i
$943$	−40.1652	−	69.5683i	−1.30796	−	2.26545i
$944$	8.88326	+	3.23324i	0.289125	+	0.105233i
$945$	0.819078	−	4.64522i	0.0266446	−	0.151109i
$946$	1.97771	+	11.2162i	0.0643009	+	0.364669i
$947$	−33.9513	+	12.3573i	−1.10327	+	0.401557i	−0.828520	−	0.559959i	$-0.810817\pi$
$947$	−33.9513	+	12.3573i	−1.10327	+	0.401557i	−0.274749	+	0.961516i	$0.588595\pi$
$948$	7.38919	+	6.20026i	0.239990	+	0.201375i
$949$	−10.4397			−0.338889
$950$	−4.35844	−	0.0632028i	−0.141406	−	0.00205057i
$951$	−26.8239			−0.869824
$952$	0.871644	+	0.731397i	0.0282502	+	0.0237047i
$953$	42.6536	−	15.5247i	1.38169	−	0.502893i	0.458998	−	0.888437i	$-0.348209\pi$
$953$	42.6536	−	15.5247i	1.38169	−	0.502893i	0.922689	+	0.385545i	$0.125986\pi$
$954$	−1.04576	−	5.93080i	−0.0338577	−	0.192017i
$955$	−2.07873	+	11.7890i	−0.0672660	+	0.381484i
$956$	14.8871	+	5.41847i	0.481484	+	0.175246i
$957$	−1.34730	−	2.33359i	−0.0435519	−	0.0754341i
$958$	−9.00000	+	15.5885i	−0.290777	+	0.503640i
$959$	−5.18067	+	4.34710i	−0.167293	+	0.140375i
$960$	0.766044	−	0.642788i	0.0247240	−	0.0207459i
$961$	−7.77631	+	13.4690i	−0.250849	+	0.434483i
$962$	−11.2255	−	19.4431i	−0.361925	−	0.626872i
$963$	10.3696	+	3.77422i	0.334155	+	0.121623i
$964$	−1.15405	+	6.54493i	−0.0371694	+	0.210798i
$965$	1.51754	+	8.60640i	0.0488514	+	0.277050i
$966$	29.7075	−	10.8127i	0.955825	−	0.347892i
$967$	14.4088	+	12.0904i	0.463355	+	0.388801i	0.844364	−	0.535770i	$-0.179979\pi$
$967$	14.4088	+	12.0904i	0.463355	+	0.388801i	−0.381008	+	0.924572i	$0.624423\pi$
$968$	8.65270			0.278108
$969$	0.815207	−	0.664138i	0.0261882	−	0.0213352i
$970$	−5.75877			−0.184903
$971$	−22.9559	−	19.2623i	−0.736690	−	0.618156i	0.195257	−	0.980752i	$-0.437446\pi$
$971$	−22.9559	−	19.2623i	−0.736690	−	0.618156i	−0.931946	+	0.362596i	$0.881890\pi$
$972$	0.939693	−	0.342020i	0.0301407	−	0.0109703i
$973$	12.3310	+	69.9323i	0.395312	+	2.24193i
$974$	−0.803596	+	4.55742i	−0.0257489	+	0.146029i
$975$	2.24510	+	0.817150i	0.0719007	+	0.0261697i
$976$	−1.30541	−	2.26103i	−0.0417851	−	0.0723739i
$977$	10.8280	−	18.7546i	0.346418	−	0.600014i	−0.639192	−	0.769047i	$-0.720731\pi$
$977$	10.8280	−	18.7546i	0.346418	−	0.600014i	0.985610	+	0.169033i	$0.0540644\pi$
$978$	−4.32501	+	3.62911i	−0.138298	+	0.116046i
$979$	5.93448	−	4.97962i	0.189667	−	0.159149i
$980$	7.62449	−	13.2060i	0.243555	−	0.421850i
$981$	5.41147	+	9.37295i	0.172775	+	0.299255i
$982$	−32.6095	−	11.8689i	−1.04061	−	0.378752i
$983$	−6.38548	+	36.2138i	−0.203665	+	1.15504i	0.695861	+	0.718176i	$0.255023\pi$
$983$	−6.38548	+	36.2138i	−0.203665	+	1.15504i	−0.899527	+	0.436866i	$0.856088\pi$
$984$	−2.08125	−	11.8034i	−0.0663479	−	0.376278i
$985$	17.6322	−	6.41761i	0.561809	−	0.204482i
$986$	0.325008	+	0.272714i	0.0103504	+	0.00868498i
$987$	−25.7229			−0.818768
$988$	7.87985	+	6.80910i	0.250691	+	0.216626i
$989$	−49.8236			−1.58430
$990$	−1.17365	−	0.984808i	−0.0373010	−	0.0312992i
$991$	−54.1147	+	19.6962i	−1.71901	+	0.625669i	−0.997753	−	0.0669973i	$-0.978658\pi$
$991$	−54.1147	+	19.6962i	−1.71901	+	0.625669i	−0.721258	+	0.692666i	$0.756436\pi$
$992$	−1.18479	−	6.71929i	−0.0376172	−	0.213338i
$993$	−1.27244	+	7.21637i	−0.0403797	+	0.229005i
$994$	−32.3806	−	11.7856i	−1.02705	−	0.373816i
$995$	−3.32770	−	5.76374i	−0.105495	−	0.182723i
$996$	−4.94356	+	8.56250i	−0.156643	+	0.271313i
$997$	−3.08197	+	2.58608i	−0.0976069	+	0.0819019i	−0.690285	−	0.723537i	$-0.742515\pi$
$997$	−3.08197	+	2.58608i	−0.0976069	+	0.0819019i	0.592678	+	0.805439i	$0.298071\pi$
$998$	21.8855	−	18.3641i	0.692774	−	0.581307i
$999$	−4.69846	+	8.13798i	−0.148653	+	0.257474i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	570.2.u.a.301.1	✓	6
19.6	even	9	inner	570.2.u.a.481.1	yes	6

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
570.2.u.a.301.1	✓	6	1.1	even	1	trivial
570.2.u.a.481.1	yes	6	19.6	even	9	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.u (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.766044 - 0.642788i) q^{2} +(0.939693 - 0.342020i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.173648 + 0.984808i) q^{5} +(-0.939693 - 0.342020i) q^{6} +(-2.35844 - 4.08494i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.766044 - 0.642788i) q^{9} +O(q^{10})\)	\(q+(-0.766044 - 0.642788i) q^{2} +(0.939693 - 0.342020i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.173648 + 0.984808i) q^{5} +(-0.939693 - 0.342020i) q^{6} +(-2.35844 - 4.08494i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.766044 - 0.642788i) q^{9} +(0.766044 - 0.642788i) q^{10} +(0.766044 - 1.32683i) q^{11} +(0.500000 + 0.866025i) q^{12} +(-2.24510 - 0.817150i) q^{13} +(-0.819078 + 4.64522i) q^{14} +(0.173648 + 0.984808i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-0.184793 - 0.155059i) q^{17} -1.00000 q^{18} +(-2.23396 + 3.74292i) q^{19} -1.00000 q^{20} +(-3.61334 - 3.03195i) q^{21} +(-1.43969 + 0.524005i) q^{22} +(-1.16385 - 6.60051i) q^{23} +(0.173648 - 0.984808i) q^{24} +(-0.939693 - 0.342020i) q^{25} +(1.19459 + 2.06910i) q^{26} +(0.500000 - 0.866025i) q^{27} +(3.61334 - 3.03195i) q^{28} +(1.34730 - 1.13052i) q^{29} +(0.500000 - 0.866025i) q^{30} +(-3.41147 - 5.90885i) q^{31} +(0.939693 + 0.342020i) q^{32} +(0.266044 - 1.50881i) q^{33} +(0.0418891 + 0.237565i) q^{34} +(4.43242 - 1.61327i) q^{35} +(0.766044 + 0.642788i) q^{36} -9.39693 q^{37} +(4.11721 - 1.43128i) q^{38} -2.38919 q^{39} +(0.766044 + 0.642788i) q^{40} +(11.2626 - 4.09927i) q^{41} +(0.819078 + 4.64522i) q^{42} +(1.29086 - 7.32083i) q^{43} +(1.43969 + 0.524005i) q^{44} +(0.500000 + 0.866025i) q^{45} +(-3.35117 + 5.80439i) q^{46} +(4.17752 - 3.50535i) q^{47} +(-0.766044 + 0.642788i) q^{48} +(-7.62449 + 13.2060i) q^{49} +(0.500000 + 0.866025i) q^{50} +(-0.226682 - 0.0825054i) q^{51} +(0.414878 - 2.35289i) q^{52} +(1.04576 + 5.93080i) q^{53} +(-0.939693 + 0.342020i) q^{54} +(1.17365 + 0.984808i) q^{55} -4.71688 q^{56} +(-0.819078 + 4.28125i) q^{57} -1.75877 q^{58} +(-7.24170 - 6.07650i) q^{59} +(-0.939693 + 0.342020i) q^{60} +(0.453363 + 2.57115i) q^{61} +(-1.18479 + 6.71929i) q^{62} +(-4.43242 - 1.61327i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(1.19459 - 2.06910i) q^{65} +(-1.17365 + 0.984808i) q^{66} +(-3.16250 + 2.65366i) q^{67} +(0.120615 - 0.208911i) q^{68} +(-3.35117 - 5.80439i) q^{69} +(-4.43242 - 1.61327i) q^{70} +(-1.26857 + 7.19442i) q^{71} +(-0.173648 - 0.984808i) q^{72} +(4.10607 - 1.49449i) q^{73} +(7.19846 + 6.04023i) q^{74} -1.00000 q^{75} +(-4.07398 - 1.55007i) q^{76} -7.22668 q^{77} +(1.83022 + 1.53574i) q^{78} +(9.06418 - 3.29909i) q^{79} +(-0.173648 - 0.984808i) q^{80} +(0.173648 - 0.984808i) q^{81} +(-11.2626 - 4.09927i) q^{82} +(4.94356 + 8.56250i) q^{83} +(2.35844 - 4.08494i) q^{84} +(0.184793 - 0.155059i) q^{85} +(-5.69459 + 4.77833i) q^{86} +(0.879385 - 1.52314i) q^{87} +(-0.766044 - 1.32683i) q^{88} +(4.75150 + 1.72940i) q^{89} +(0.173648 - 0.984808i) q^{90} +(1.95693 + 11.0983i) q^{91} +(6.29813 - 2.29233i) q^{92} +(-5.22668 - 4.38571i) q^{93} -5.45336 q^{94} +(-3.29813 - 2.84997i) q^{95} +1.00000 q^{96} +(-4.41147 - 3.70167i) q^{97} +(14.3293 - 5.21546i) q^{98} +(-0.266044 - 1.50881i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 6 q - 6 q^{7} + 3 q^{8}+O(q^{10}) \) 6 * q - 6 * q^7 + 3 * q^8	\( 6 q - 6 q^{7} + 3 q^{8} + 3 q^{12} - 12 q^{13} + 12 q^{14} + 6 q^{17} - 6 q^{18} - 18 q^{19} - 6 q^{20} - 15 q^{21} - 3 q^{22} - 3 q^{23} + 3 q^{26} + 3 q^{27} + 15 q^{28} + 6 q^{29} + 3 q^{30} - 3 q^{33} - 6 q^{34} + 3 q^{35} - 6 q^{38} - 6 q^{39} + 21 q^{41} - 12 q^{42} - 24 q^{43} + 3 q^{44} + 3 q^{45} + 6 q^{46} - 33 q^{49} + 3 q^{50} + 12 q^{51} + 24 q^{52} - 24 q^{53} + 6 q^{55} - 12 q^{56} + 12 q^{57} + 12 q^{58} - 24 q^{61} - 3 q^{63} - 3 q^{64} + 3 q^{65} - 6 q^{66} - 24 q^{67} + 12 q^{68} + 6 q^{69} - 3 q^{70} + 12 q^{71} + 15 q^{74} - 6 q^{75} - 9 q^{76} - 30 q^{77} - 12 q^{78} + 36 q^{79} - 21 q^{82} + 6 q^{84} - 6 q^{85} - 30 q^{86} - 6 q^{87} - 12 q^{89} + 24 q^{91} + 24 q^{92} - 18 q^{93} - 6 q^{94} - 6 q^{95} + 6 q^{96} - 6 q^{97} + 6 q^{98} + 3 q^{99}+O(q^{100}) \) 6 * q - 6 * q^7 + 3 * q^8 + 3 * q^12 - 12 * q^13 + 12 * q^14 + 6 * q^17 - 6 * q^18 - 18 * q^19 - 6 * q^20 - 15 * q^21 - 3 * q^22 - 3 * q^23 + 3 * q^26 + 3 * q^27 + 15 * q^28 + 6 * q^29 + 3 * q^30 - 3 * q^33 - 6 * q^34 + 3 * q^35 - 6 * q^38 - 6 * q^39 + 21 * q^41 - 12 * q^42 - 24 * q^43 + 3 * q^44 + 3 * q^45 + 6 * q^46 - 33 * q^49 + 3 * q^50 + 12 * q^51 + 24 * q^52 - 24 * q^53 + 6 * q^55 - 12 * q^56 + 12 * q^57 + 12 * q^58 - 24 * q^61 - 3 * q^63 - 3 * q^64 + 3 * q^65 - 6 * q^66 - 24 * q^67 + 12 * q^68 + 6 * q^69 - 3 * q^70 + 12 * q^71 + 15 * q^74 - 6 * q^75 - 9 * q^76 - 30 * q^77 - 12 * q^78 + 36 * q^79 - 21 * q^82 + 6 * q^84 - 6 * q^85 - 30 * q^86 - 6 * q^87 - 12 * q^89 + 24 * q^91 + 24 * q^92 - 18 * q^93 - 6 * q^94 - 6 * q^95 + 6 * q^96 - 6 * q^97 + 6 * q^98 + 3 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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