LMFDB - Embedded newform 266.2.u.b.43.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [266,2,Mod(43,266)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(266, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 16]))

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

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

chi := DirichletCharacter("266.43");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 266 = 2 \cdot 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	266.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:	$2.12402069377$
Analytic rank:	$0$
Dimension:	$12$
Relative dimension:	$2$ over $\Q(\zeta_{9})$
Coefficient field:	$\mathbb{Q}[x]/(x^{12} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} - 3 x^{11} + 12 x^{10} - 16 x^{9} - 6 x^{8} + 27 x^{7} + 5 x^{6} - 27 x^{5} - 6 x^{4} + 16 x^{3} + \cdots + 1 $ x^12 - 3x^11 + 12x^10 - 16x^9 - 6x^8 + 27x^7 + 5x^6 - 27x^5 - 6x^4 + 16x^3 + 12x^2 + 3*x + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			43.2
Root			$-0.555806 + 0.466377i$ of defining polynomial
Character	$\chi$	$=$	266.43
Dual form			266.2.u.b.99.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.939693 - 0.342020i) q^{2} +(0.366678 - 2.07953i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-2.75031 - 2.30779i) q^{5} +(-0.366678 - 2.07953i) q^{6} +(0.500000 + 0.866025i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-1.37093 - 0.498976i) q^{9} +O(q^{10})$	\(q+(0.939693 - 0.342020i) q^{2} +(0.366678 - 2.07953i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-2.75031 - 2.30779i) q^{5} +(-0.366678 - 2.07953i) q^{6} +(0.500000 + 0.866025i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-1.37093 - 0.498976i) q^{9} +(-3.37376 - 1.22795i) q^{10} +(-1.62149 + 2.80850i) q^{11} +(-1.05581 - 1.82871i) q^{12} +(0.106610 + 0.604614i) q^{13} +(0.766044 + 0.642788i) q^{14} +(-5.80759 + 4.87315i) q^{15} +(0.173648 - 0.984808i) q^{16} +(4.41386 - 1.60651i) q^{17} -1.45891 q^{18} +(1.63007 - 4.04263i) q^{19} -3.59028 q^{20} +(1.98427 - 0.722214i) q^{21} +(-0.563138 + 3.19371i) q^{22} +(3.47086 - 2.91240i) q^{23} +(-1.61759 - 1.35732i) q^{24} +(1.37010 + 7.77022i) q^{25} +(0.306970 + 0.531688i) q^{26} +(1.62709 - 2.81821i) q^{27} +(0.939693 + 0.342020i) q^{28} +(-4.18185 - 1.52207i) q^{29} +(-3.79064 + 6.56558i) q^{30} +(3.24468 + 5.61996i) q^{31} +(-0.173648 - 0.984808i) q^{32} +(5.24581 + 4.40176i) q^{33} +(3.59821 - 3.01925i) q^{34} +(0.623445 - 3.53573i) q^{35} +(-1.37093 + 0.498976i) q^{36} +5.34592 q^{37} +(0.149109 - 4.35635i) q^{38} +1.29641 q^{39} +(-3.37376 + 1.22795i) q^{40} +(-0.188693 + 1.07013i) q^{41} +(1.61759 - 1.35732i) q^{42} +(4.16807 + 3.49743i) q^{43} +(0.563138 + 3.19371i) q^{44} +(2.61894 + 4.53614i) q^{45} +(2.26544 - 3.92386i) q^{46} +(-10.9019 - 3.96798i) q^{47} +(-1.98427 - 0.722214i) q^{48} +(-0.500000 + 0.866025i) q^{49} +(3.94504 + 6.83302i) q^{50} +(-1.72233 - 9.76783i) q^{51} +(0.470306 + 0.394634i) q^{52} +(-4.69308 + 3.93796i) q^{53} +(0.565084 - 3.20475i) q^{54} +(10.9410 - 3.98221i) q^{55} +1.00000 q^{56} +(-7.80907 - 4.87214i) q^{57} -4.45024 q^{58} +(2.71738 - 0.989045i) q^{59} +(-1.31647 + 7.46610i) q^{60} +(-10.1324 + 8.50207i) q^{61} +(4.97114 + 4.17128i) q^{62} +(-0.253337 - 1.43675i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(1.10211 - 1.90891i) q^{65} +(6.43494 + 2.34213i) q^{66} +(6.02492 + 2.19289i) q^{67} +(2.34856 - 4.06783i) q^{68} +(-4.78374 - 8.28568i) q^{69} +(-0.623445 - 3.53573i) q^{70} +(8.87023 + 7.44301i) q^{71} +(-1.11759 + 0.937769i) q^{72} +(-2.83400 + 16.0724i) q^{73} +(5.02352 - 1.82841i) q^{74} +16.6608 q^{75} +(-1.34984 - 4.14463i) q^{76} -3.24298 q^{77} +(1.21822 - 0.443397i) q^{78} +(-1.11712 + 6.33551i) q^{79} +(-2.75031 + 2.30779i) q^{80} +(-8.61671 - 7.23028i) q^{81} +(0.188693 + 1.07013i) q^{82} +(4.26038 + 7.37919i) q^{83} +(1.05581 - 1.82871i) q^{84} +(-15.8470 - 5.76782i) q^{85} +(5.11290 + 1.86094i) q^{86} +(-4.69859 + 8.13819i) q^{87} +(1.62149 + 2.80850i) q^{88} +(0.259235 + 1.47019i) q^{89} +(4.01246 + 3.36685i) q^{90} +(-0.470306 + 0.394634i) q^{91} +(0.786781 - 4.46205i) q^{92} +(12.8766 - 4.68671i) q^{93} -11.6016 q^{94} +(-13.8127 + 7.35663i) q^{95} -2.11161 q^{96} +(-1.57667 + 0.573862i) q^{97} +(-0.173648 + 0.984808i) q^{98} +(3.62432 - 3.04117i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q + 6 q^{7} + 6 q^{8} - 6 q^{9}+O(q^{10}) $ 12 * q + 6 * q^7 + 6 * q^8 - 6 * q^9	$ 12 q + 6 q^{7} + 6 q^{8} - 6 q^{9} - 9 q^{10} - 3 q^{11} - 3 q^{12} + 6 q^{13} - 6 q^{15} + 3 q^{17} + 6 q^{18} + 6 q^{19} - 6 q^{20} + 3 q^{22} + 18 q^{23} - 24 q^{25} + 6 q^{26} - 3 q^{27} - 9 q^{29} - 6 q^{30} - 3 q^{31} + 9 q^{33} + 24 q^{34} + 9 q^{35} - 6 q^{36} - 6 q^{37} - 3 q^{38} - 18 q^{39} - 9 q^{40} + 9 q^{41} + 6 q^{43} - 3 q^{44} + 12 q^{45} - 45 q^{47} - 6 q^{49} + 3 q^{50} - 3 q^{51} - 3 q^{52} + 15 q^{53} - 18 q^{54} + 3 q^{55} + 12 q^{56} - 9 q^{57} - 12 q^{58} + 6 q^{59} - 15 q^{60} - 18 q^{61} + 15 q^{62} - 12 q^{63} - 6 q^{64} - 3 q^{65} + 18 q^{66} + 18 q^{67} + 9 q^{68} - 24 q^{69} - 9 q^{70} + 15 q^{71} + 6 q^{72} + 39 q^{73} + 6 q^{74} + 66 q^{75} - 15 q^{76} - 6 q^{77} - 24 q^{79} + 12 q^{81} - 9 q^{82} + 33 q^{83} + 3 q^{84} - 78 q^{85} - 6 q^{86} - 15 q^{87} + 3 q^{88} + 30 q^{89} + 3 q^{90} + 3 q^{91} + 33 q^{93} - 18 q^{94} - 75 q^{95} - 6 q^{96} - 21 q^{97} + 6 q^{99}+O(q^{100}) $ 12 * q + 6 * q^7 + 6 * q^8 - 6 * q^9 - 9 * q^10 - 3 * q^11 - 3 * q^12 + 6 * q^13 - 6 * q^15 + 3 * q^17 + 6 * q^18 + 6 * q^19 - 6 * q^20 + 3 * q^22 + 18 * q^23 - 24 * q^25 + 6 * q^26 - 3 * q^27 - 9 * q^29 - 6 * q^30 - 3 * q^31 + 9 * q^33 + 24 * q^34 + 9 * q^35 - 6 * q^36 - 6 * q^37 - 3 * q^38 - 18 * q^39 - 9 * q^40 + 9 * q^41 + 6 * q^43 - 3 * q^44 + 12 * q^45 - 45 * q^47 - 6 * q^49 + 3 * q^50 - 3 * q^51 - 3 * q^52 + 15 * q^53 - 18 * q^54 + 3 * q^55 + 12 * q^56 - 9 * q^57 - 12 * q^58 + 6 * q^59 - 15 * q^60 - 18 * q^61 + 15 * q^62 - 12 * q^63 - 6 * q^64 - 3 * q^65 + 18 * q^66 + 18 * q^67 + 9 * q^68 - 24 * q^69 - 9 * q^70 + 15 * q^71 + 6 * q^72 + 39 * q^73 + 6 * q^74 + 66 * q^75 - 15 * q^76 - 6 * q^77 - 24 * q^79 + 12 * q^81 - 9 * q^82 + 33 * q^83 + 3 * q^84 - 78 * q^85 - 6 * q^86 - 15 * q^87 + 3 * q^88 + 30 * q^89 + 3 * q^90 + 3 * q^91 + 33 * q^93 - 18 * q^94 - 75 * q^95 - 6 * q^96 - 21 * q^97 + 6 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/266\mathbb{Z}\right)^\times$.

$n$	$115$	$211$
$\chi(n)$	$1$	$e\left(\frac{8}{9}\right)$

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 $

$2$	0.939693	−	0.342020i	0.664463	−	0.241845i
$2$	0.939693	−	0.342020i	0.664463	−	0.241845i
$3$	0.366678	−	2.07953i	0.211701	−	1.20062i	−0.674838	−	0.737966i	$-0.735787\pi$
$3$	0.366678	−	2.07953i	0.211701	−	1.20062i	0.886539	−	0.462653i	$-0.153102\pi$
$4$	0.766044	−	0.642788i	0.383022	−	0.321394i
$5$	−2.75031	−	2.30779i	−1.22998	−	1.03207i	−0.998241	−	0.0592943i	$-0.981115\pi$
$5$	−2.75031	−	2.30779i	−1.22998	−	1.03207i	−0.231736	−	0.972779i	$-0.574441\pi$
$6$	−0.366678	−	2.07953i	−0.149696	−	0.848966i
$7$	0.500000	+	0.866025i	0.188982	+	0.327327i
$7$	0.500000	+	0.866025i	0.188982	+	0.327327i
$8$	0.500000	−	0.866025i	0.176777	−	0.306186i
$9$	−1.37093	−	0.498976i	−0.456975	−	0.166325i
$10$	−3.37376	−	1.22795i	−1.06688	−	0.388311i
$11$	−1.62149	+	2.80850i	−0.488898	+	0.846796i	−0.999918	−	0.0127727i	$-0.995934\pi$
$11$	−1.62149	+	2.80850i	−0.488898	+	0.846796i	0.511021	+	0.859568i	$0.329268\pi$
$12$	−1.05581	−	1.82871i	−0.304785	−	0.527903i
$13$	0.106610	+	0.604614i	0.0295682	+	0.167690i	0.996016	−	0.0891728i	$-0.0284224\pi$
$13$	0.106610	+	0.604614i	0.0295682	+	0.167690i	−0.966448	+	0.256863i	$0.917311\pi$
$14$	0.766044	+	0.642788i	0.204734	+	0.171792i
$15$	−5.80759	+	4.87315i	−1.49951	+	1.25824i
$16$	0.173648	−	0.984808i	0.0434120	−	0.246202i
$17$	4.41386	−	1.60651i	1.07052	−	0.389636i	0.254147	−	0.967166i	$-0.418205\pi$
$17$	4.41386	−	1.60651i	1.07052	−	0.389636i	0.816370	+	0.577529i	$0.195983\pi$
$18$	−1.45891			−0.343868
$19$	1.63007	−	4.04263i	0.373965	−	0.927443i
$19$	1.63007	−	4.04263i	0.373965	−	0.927443i
$20$	−3.59028			−0.802810
$21$	1.98427	−	0.722214i	0.433003	−	0.157600i
$22$	−0.563138	+	3.19371i	−0.120061	+	0.680902i
$23$	3.47086	−	2.91240i	0.723725	−	0.607277i	−0.204688	−	0.978827i	$-0.565618\pi$
$23$	3.47086	−	2.91240i	0.723725	−	0.607277i	0.928413	+	0.371550i	$0.121174\pi$
$24$	−1.61759	−	1.35732i	−0.330189	−	0.277062i
$25$	1.37010	+	7.77022i	0.274020	+	1.55404i
$26$	0.306970	+	0.531688i	0.0602019	+	0.104273i
$27$	1.62709	−	2.81821i	0.313134	−	0.542365i
$28$	0.939693	+	0.342020i	0.177585	+	0.0646357i
$29$	−4.18185	−	1.52207i	−0.776551	−	0.282641i	−0.0768172	−	0.997045i	$-0.524476\pi$
$29$	−4.18185	−	1.52207i	−0.776551	−	0.282641i	−0.699734	+	0.714404i	$0.746698\pi$
$30$	−3.79064	+	6.56558i	−0.692073	+	1.19870i
$31$	3.24468	+	5.61996i	0.582762	+	1.00937i	0.995150	+	0.0983656i	$0.0313614\pi$
$31$	3.24468	+	5.61996i	0.582762	+	1.00937i	−0.412388	+	0.911008i	$0.635305\pi$
$32$	−0.173648	−	0.984808i	−0.0306970	−	0.174091i
$33$	5.24581	+	4.40176i	0.913178	+	0.766248i
$34$	3.59821	−	3.01925i	0.617088	−	0.517798i
$35$	0.623445	−	3.53573i	0.105381	−	0.597648i
$36$	−1.37093	+	0.498976i	−0.228488	+	0.0831627i
$37$	5.34592			0.878864			0.439432	−	0.898276i	$-0.355180\pi$
$37$	5.34592			0.878864			0.439432	+	0.898276i	$0.355180\pi$
$38$	0.149109	−	4.35635i	0.0241886	−	0.706693i
$39$	1.29641			0.207591
$40$	−3.37376	+	1.22795i	−0.533438	+	0.194155i
$41$	−0.188693	+	1.07013i	−0.0294690	+	0.167127i	−0.995991	−	0.0894586i	$-0.971486\pi$
$41$	−0.188693	+	1.07013i	−0.0294690	+	0.167127i	0.966522	+	0.256585i	$0.0825975\pi$
$42$	1.61759	−	1.35732i	0.249599	−	0.209439i
$43$	4.16807	+	3.49743i	0.635625	+	0.533353i	0.902671	−	0.430331i	$-0.141603\pi$
$43$	4.16807	+	3.49743i	0.635625	+	0.533353i	−0.267046	+	0.963684i	$0.586048\pi$
$44$	0.563138	+	3.19371i	0.0848962	+	0.481470i
$45$	2.61894	+	4.53614i	0.390409	+	0.676208i
$46$	2.26544	−	3.92386i	0.334022	−	0.578542i
$47$	−10.9019	−	3.96798i	−1.59021	−	0.578789i	−0.612819	−	0.790224i	$-0.709964\pi$
$47$	−10.9019	−	3.96798i	−1.59021	−	0.578789i	−0.977392	+	0.211434i	$0.932187\pi$
$48$	−1.98427	−	0.722214i	−0.286404	−	0.104243i
$49$	−0.500000	+	0.866025i	−0.0714286	+	0.123718i
$50$	3.94504	+	6.83302i	0.557913	+	0.966334i
$51$	−1.72233	−	9.76783i	−0.241175	−	1.36777i
$52$	0.470306	+	0.394634i	0.0652197	+	0.0547258i
$53$	−4.69308	+	3.93796i	−0.644644	+	0.540921i	−0.905441	−	0.424473i	$-0.860459\pi$
$53$	−4.69308	+	3.93796i	−0.644644	+	0.540921i	0.260796	+	0.965394i	$0.416015\pi$
$54$	0.565084	−	3.20475i	0.0768981	−	0.436111i
$55$	10.9410	−	3.98221i	1.47529	−	0.536961i
$56$	1.00000			0.133631
$57$	−7.80907	−	4.87214i	−1.03434	−	0.645330i
$58$	−4.45024			−0.584345
$59$	2.71738	−	0.989045i	0.353773	−	0.128763i	−0.159020	−	0.987275i	$-0.550833\pi$
$59$	2.71738	−	0.989045i	0.353773	−	0.128763i	0.512792	+	0.858513i	$0.328611\pi$
$60$	−1.31647	+	7.46610i	−0.169956	+	0.963869i
$61$	−10.1324	+	8.50207i	−1.29732	+	1.08858i	−0.306715	+	0.951801i	$0.599230\pi$
$61$	−10.1324	+	8.50207i	−1.29732	+	1.08858i	−0.990602	+	0.136777i	$0.956326\pi$
$62$	4.97114	+	4.17128i	0.631336	+	0.529754i
$63$	−0.253337	−	1.43675i	−0.0319175	−	0.181013i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	1.10211	−	1.90891i	0.136700	−	0.236771i
$66$	6.43494	+	2.34213i	0.792086	+	0.288296i
$67$	6.02492	+	2.19289i	0.736061	+	0.267904i	0.682728	−	0.730673i	$-0.260793\pi$
$67$	6.02492	+	2.19289i	0.736061	+	0.267904i	0.0533326	+	0.998577i	$0.483016\pi$
$68$	2.34856	−	4.06783i	0.284805	−	0.493297i
$69$	−4.78374	−	8.28568i	−0.575895	−	0.997479i
$70$	−0.623445	−	3.53573i	−0.0745159	−	0.422601i
$71$	8.87023	+	7.44301i	1.05270	+	0.883322i	0.993375	−	0.114916i	$-0.0366600\pi$
$71$	8.87023	+	7.44301i	1.05270	+	0.883322i	0.0593273	+	0.998239i	$0.481104\pi$
$72$	−1.11759	+	0.937769i	−0.131709	+	0.110517i
$73$	−2.83400	+	16.0724i	−0.331695	+	1.88113i	0.126007	+	0.992029i	$0.459784\pi$
$73$	−2.83400	+	16.0724i	−0.331695	+	1.88113i	−0.457702	+	0.889106i	$0.651327\pi$
$74$	5.02352	−	1.82841i	0.583973	−	0.212549i
$75$	16.6608			1.92382
$76$	−1.34984	−	4.14463i	−0.154838	−	0.475421i
$77$	−3.24298			−0.369572
$78$	1.21822	−	0.443397i	0.137937	−	0.0502048i
$79$	−1.11712	+	6.33551i	−0.125686	+	0.712800i	0.855212	+	0.518278i	$0.173427\pi$
$79$	−1.11712	+	6.33551i	−0.125686	+	0.712800i	−0.980898	+	0.194522i	$0.937684\pi$
$80$	−2.75031	+	2.30779i	−0.307494	+	0.258018i
$81$	−8.61671	−	7.23028i	−0.957412	−	0.803364i
$82$	0.188693	+	1.07013i	0.0208377	+	0.118176i
$83$	4.26038	+	7.37919i	0.467637	+	0.809971i	0.999316	−	0.0369746i	$-0.0117721\pi$
$83$	4.26038	+	7.37919i	0.467637	+	0.809971i	−0.531679	+	0.846946i	$0.678439\pi$
$84$	1.05581	−	1.82871i	0.115198	−	0.199529i
$85$	−15.8470	−	5.76782i	−1.71884	−	0.625608i
$86$	5.11290	+	1.86094i	0.551338	+	0.200671i
$87$	−4.69859	+	8.13819i	−0.503742	+	0.872506i
$88$	1.62149	+	2.80850i	0.172851	+	0.299387i
$89$	0.259235	+	1.47019i	0.0274788	+	0.155840i	0.995460	−	0.0951838i	$-0.0303439\pi$
$89$	0.259235	+	1.47019i	0.0274788	+	0.155840i	−0.967981	+	0.251024i	$0.919233\pi$
$90$	4.01246	+	3.36685i	0.422950	+	0.354897i
$91$	−0.470306	+	0.394634i	−0.0493015	+	0.0413688i
$92$	0.786781	−	4.46205i	0.0820275	−	0.465201i
$93$	12.8766	−	4.68671i	1.33524	−	0.485989i
$94$	−11.6016			−1.19661
$95$	−13.8127	+	7.35663i	−1.41716	+	0.754774i
$96$	−2.11161			−0.215516
$97$	−1.57667	+	0.573862i	−0.160087	+	0.0582668i	−0.420820	−	0.907144i	$-0.638258\pi$
$97$	−1.57667	+	0.573862i	−0.160087	+	0.0582668i	0.260734	+	0.965411i	$0.416036\pi$
$98$	−0.173648	+	0.984808i	−0.0175411	+	0.0994806i
$99$	3.62432	−	3.04117i	0.364258	−	0.305649i
$100$	6.04416	+	5.07165i	0.604416	+	0.507165i
$101$	0.324469	+	1.84016i	0.0322859	+	0.183102i	0.996686	−	0.0813449i	$-0.0259215\pi$
$101$	0.324469	+	1.84016i	0.0322859	+	0.183102i	−0.964400	+	0.264447i	$0.914810\pi$
$102$	−4.95926	−	8.58969i	−0.491040	−	0.850506i
$103$	10.0631	−	17.4299i	0.991550	−	1.71741i	0.383428	−	0.923571i	$-0.374744\pi$
$103$	10.0631	−	17.4299i	0.991550	−	1.71741i	0.608122	−	0.793843i	$-0.291923\pi$
$104$	0.576916	+	0.209980i	0.0565712	+	0.0205902i
$105$	−7.12407	−	2.59295i	−0.695238	−	0.253046i
$106$	−3.06319	+	5.30560i	−0.297523	+	0.515326i
$107$	−4.68707	−	8.11825i	−0.453116	−	0.784820i	0.545461	−	0.838136i	$-0.316354\pi$
$107$	−4.68707	−	8.11825i	−0.453116	−	0.784820i	−0.998578	+	0.0533155i	$0.983021\pi$
$108$	−0.565084	−	3.20475i	−0.0543752	−	0.308377i
$109$	−7.10951	−	5.96558i	−0.680967	−	0.571399i	0.235322	−	0.971918i	$-0.424386\pi$
$109$	−7.10951	−	5.96558i	−0.680967	−	0.571399i	−0.916289	+	0.400518i	$0.868830\pi$
$110$	8.91921	−	7.48410i	0.850413	−	0.713581i
$111$	1.96023	−	11.1170i	0.186057	−	1.05518i
$112$	0.939693	−	0.342020i	0.0887926	−	0.0323179i
$113$	−8.67289			−0.815877			−0.407938	−	0.913009i	$-0.633752\pi$
$113$	−8.67289			−0.815877			−0.407938	+	0.913009i	$0.633752\pi$
$114$	−9.00449	−	1.90745i	−0.843348	−	0.178649i
$115$	−16.2671			−1.51692
$116$	−4.18185	+	1.52207i	−0.388275	+	0.141321i
$117$	0.155534	−	0.882077i	0.0143791	−	0.0815480i
$118$	2.21523	−	1.85880i	0.203928	−	0.171116i
$119$	3.59821	+	3.01925i	0.329847	+	0.276775i
$120$	1.31647	+	7.46610i	0.120177	+	0.681558i
$121$	0.241539	+	0.418358i	0.0219581	+	0.0380325i
$122$	−6.61344	+	11.4548i	−0.598752	+	1.03707i
$123$	2.15619	+	0.784788i	0.194417	+	0.0707620i
$124$	6.09801	+	2.21949i	0.547617	+	0.199316i
$125$	5.18811	−	8.98606i	0.464038	−	0.803738i
$126$	−0.729455	−	1.26345i	−0.0649850	−	0.112557i
$127$	3.17242	+	17.9917i	0.281507	+	1.59651i	0.717502	+	0.696557i	$0.245286\pi$
$127$	3.17242	+	17.9917i	0.281507	+	1.59651i	−0.435995	+	0.899949i	$0.643603\pi$
$128$	−0.766044	−	0.642788i	−0.0677094	−	0.0568149i
$129$	8.80136	−	7.38522i	0.774916	−	0.650232i
$130$	0.382758	−	2.17073i	0.0335701	−	0.190386i
$131$	7.60352	−	2.76745i	0.664322	−	0.241794i	0.0122209	−	0.999925i	$-0.496110\pi$
$131$	7.60352	−	2.76745i	0.664322	−	0.241794i	0.652101	+	0.758132i	$0.273888\pi$
$132$	6.84792			0.596035
$133$	4.31606	−	0.609629i	0.374250	−	0.0528615i
$134$	6.41158			0.553876
$135$	−10.9788	+	3.99597i	−0.944908	+	0.343918i
$136$	0.815648	−	4.62577i	0.0699412	−	0.396656i
$137$	3.48920	−	2.92778i	0.298102	−	0.250137i	−0.481452	−	0.876473i	$-0.659890\pi$
$137$	3.48920	−	2.92778i	0.298102	−	0.250137i	0.779554	+	0.626335i	$0.215446\pi$
$138$	−7.32912	−	6.14986i	−0.623896	−	0.523511i
$139$	−3.76721	−	21.3649i	−0.319530	−	1.81215i	−0.545612	−	0.838038i	$-0.683703\pi$
$139$	−3.76721	−	21.3649i	−0.319530	−	1.81215i	0.226082	−	0.974108i	$-0.427408\pi$
$140$	−1.79514	−	3.10927i	−0.151717	−	0.262781i
$141$	−12.2490	+	21.2160i	−1.03156	+	1.78671i
$142$	10.8809	+	3.96034i	0.913109	+	0.332344i
$143$	−1.87093	−	0.680961i	−0.156455	−	0.0569449i
$144$	−0.729455	+	1.26345i	−0.0607879	+	0.105288i
$145$	7.98879	+	13.8370i	0.663433	+	1.14910i
$146$	2.83400	+	16.0724i	0.234544	+	1.33016i
$147$	1.61759	+	1.35732i	0.133417	+	0.111950i
$148$	4.09521	−	3.43629i	0.336624	−	0.282461i
$149$	3.71732	−	21.0820i	0.304535	−	1.72710i	−0.321150	−	0.947028i	$-0.604070\pi$
$149$	3.71732	−	21.0820i	0.304535	−	1.72710i	0.625685	−	0.780076i	$-0.284819\pi$
$150$	15.6560	−	5.69833i	1.27831	−	0.465267i
$151$	5.52022			0.449229			0.224615	−	0.974448i	$-0.427888\pi$
$151$	5.52022			0.449229			0.224615	+	0.974448i	$0.427888\pi$
$152$	−2.68598	−	3.43300i	−0.217862	−	0.278453i
$153$	−6.85268			−0.554007
$154$	−3.04740	+	1.10916i	−0.245567	+	0.0893790i
$155$	4.04576	−	22.9447i	0.324963	−	1.84296i
$156$	0.993104	−	0.833313i	0.0795120	−	0.0667185i
$157$	−10.4058	−	8.73148i	−0.830471	−	0.696848i	0.124928	−	0.992166i	$-0.460130\pi$
$157$	−10.4058	−	8.73148i	−0.830471	−	0.696848i	−0.955399	+	0.295318i	$0.904574\pi$
$158$	1.11712	+	6.33551i	0.0888734	+	0.504026i
$159$	6.46827	+	11.2034i	0.512968	+	0.888486i
$160$	−1.79514	+	3.10927i	−0.141918	+	0.245809i
$161$	4.25764	+	1.54966i	0.335549	+	0.122130i
$162$	−10.5700	−	3.84715i	−0.830454	−	0.302261i
$163$	3.16111	−	5.47521i	0.247598	−	0.428852i	−0.715261	−	0.698857i	$-0.753692\pi$
$163$	3.16111	−	5.47521i	0.247598	−	0.428852i	0.962859	+	0.270006i	$0.0870256\pi$
$164$	0.543321	+	0.941059i	0.0424262	+	0.0734844i
$165$	−4.26930	−	24.2124i	−0.332365	−	1.88493i
$166$	6.52728	+	5.47704i	0.506615	+	0.425100i
$167$	−10.8770	+	9.12689i	−0.841688	+	0.706260i	−0.957943	−	0.286959i	$-0.907356\pi$
$167$	−10.8770	+	9.12689i	−0.841688	+	0.706260i	0.116255	+	0.993219i	$0.462911\pi$
$168$	0.366678	−	2.07953i	0.0282898	−	0.160439i
$169$	11.8618	−	4.31735i	0.912447	−	0.332104i
$170$	−16.8640			−1.29341
$171$	−4.25189	+	4.72878i	−0.325150	+	0.361619i
$172$	5.44103			0.414875
$173$	−6.94065	+	2.52619i	−0.527688	+	0.192063i	−0.592106	−	0.805860i	$-0.701703\pi$
$173$	−6.94065	+	2.52619i	−0.527688	+	0.192063i	0.0644178	+	0.997923i	$0.479481\pi$
$174$	−1.63180	+	9.25441i	−0.123707	+	0.701575i
$175$	−6.04416	+	5.07165i	−0.456895	+	0.383381i
$176$	2.48427	+	2.08455i	0.187259	+	0.157129i
$177$	−1.06035	−	6.01354i	−0.0797007	−	0.452005i
$178$	0.746436	+	1.29287i	0.0559477	+	0.0969043i
$179$	3.18943	−	5.52425i	0.238389	−	0.412902i	−0.721863	−	0.692036i	$-0.756714\pi$
$179$	3.18943	−	5.52425i	0.238389	−	0.412902i	0.960252	+	0.279134i	$0.0900473\pi$
$180$	4.92200	+	1.79146i	0.366865	+	0.133528i
$181$	−20.9299	−	7.61785i	−1.55571	−	0.566231i	−0.585959	−	0.810341i	$-0.699282\pi$
$181$	−20.9299	−	7.61785i	−1.55571	−	0.566231i	−0.969747	+	0.244110i	$0.921504\pi$
$182$	−0.306970	+	0.531688i	−0.0227542	+	0.0394114i
$183$	13.9650	+	24.1881i	1.03232	+	1.78804i
$184$	−0.786781	−	4.46205i	−0.0580022	−	0.328947i
$185$	−14.7029	−	12.3372i	−1.08098	−	0.907052i
$186$	10.4971	−	8.80814i	0.769687	−	0.645844i
$187$	−2.64513	+	15.0013i	−0.193431	+	1.09700i
$188$	−10.9019	+	3.96798i	−0.795105	+	0.289395i
$189$	3.25419			0.236707
$190$	−10.4636	+	11.6372i	−0.759110	+	0.844251i
$191$	−23.4129			−1.69410			−0.847048	−	0.531516i	$-0.821623\pi$
$191$	−23.4129			−1.69410			−0.847048	+	0.531516i	$0.821623\pi$
$192$	−1.98427	+	0.722214i	−0.143202	+	0.0521213i
$193$	−2.63210	+	14.9274i	−0.189463	+	1.07450i	0.730623	+	0.682781i	$0.239230\pi$
$193$	−2.63210	+	14.9274i	−0.189463	+	1.07450i	−0.920086	+	0.391717i	$0.871881\pi$
$194$	−1.28531	+	1.07851i	−0.0922802	+	0.0774323i
$195$	−3.56552	−	2.99183i	−0.255332	−	0.214249i
$196$	0.173648	+	0.984808i	0.0124034	+	0.0703434i
$197$	7.28645	+	12.6205i	0.519138	+	0.899173i	0.999753	+	0.0222413i	$0.00708022\pi$
$197$	7.28645	+	12.6205i	0.519138	+	0.899173i	−0.480615	+	0.876932i	$0.659586\pi$
$198$	2.36561	−	4.09735i	0.168116	−	0.291186i
$199$	−6.63328	−	2.41432i	−0.470221	−	0.171146i	0.0960317	−	0.995378i	$-0.469385\pi$
$199$	−6.63328	−	2.41432i	−0.470221	−	0.171146i	−0.566252	+	0.824232i	$0.691607\pi$
$200$	7.41426	+	2.69857i	0.524267	+	0.190818i
$201$	6.76939	−	11.7249i	0.477476	−	0.827012i
$202$	0.934272	+	1.61821i	0.0657352	+	0.113857i
$203$	−0.772776	−	4.38263i	−0.0542382	−	0.307600i
$204$	−7.59802	−	6.37550i	−0.531968	−	0.446374i
$205$	2.98860	−	2.50774i	0.208733	−	0.175148i
$206$	3.49489	−	19.8205i	0.243500	−	1.38096i
$207$	−6.21151	+	2.26081i	−0.431730	+	0.157137i
$208$	0.613941			0.0425691
$209$	8.71059	+	11.1332i	0.602524	+	0.770096i
$210$	−7.58127			−0.523158
$211$	5.35209	−	1.94800i	0.368453	−	0.134106i	−0.151156	−	0.988510i	$-0.548300\pi$
$211$	5.35209	−	1.94800i	0.368453	−	0.134106i	0.519609	+	0.854404i	$0.326077\pi$
$212$	−1.06384	+	6.03331i	−0.0730645	+	0.414369i
$213$	18.7305	−	15.7167i	1.28339	−	1.07689i
$214$	−7.18101	−	6.02558i	−0.490884	−	0.411900i
$215$	−3.39218	−	19.2380i	−0.231345	−	1.31202i
$216$	−1.62709	−	2.81821i	−0.110710	−	0.191755i
$217$	−3.24468	+	5.61996i	−0.220263	+	0.381507i
$218$	−8.72110	−	3.17422i	−0.590668	−	0.214985i
$219$	32.3840	+	11.7868i	2.18831	+	0.796478i
$220$	5.82160	−	10.0833i	0.392492	−	0.679816i
$221$	1.44188	+	2.49741i	0.0969913	+	0.167994i
$222$	−1.96023	−	11.1170i	−0.131562	−	0.746125i
$223$	14.2359	+	11.9453i	0.953306	+	0.799918i	0.979851	−	0.199729i	$-0.0640062\pi$
$223$	14.2359	+	11.9453i	0.953306	+	0.799918i	−0.0265455	+	0.999648i	$0.508451\pi$
$224$	0.766044	−	0.642788i	0.0511835	−	0.0429481i
$225$	1.99885	−	11.3360i	0.133257	−	0.755736i
$226$	−8.14985	+	2.96630i	−0.542120	+	0.197315i
$227$	0.527433			0.0350070			0.0175035	−	0.999847i	$-0.494428\pi$
$227$	0.527433			0.0350070			0.0175035	+	0.999847i	$0.494428\pi$
$228$	−9.11384	+	1.28730i	−0.603579	+	0.0852535i
$229$	−11.9310			−0.788426			−0.394213	−	0.919019i	$-0.628983\pi$
$229$	−11.9310			−0.788426			−0.394213	+	0.919019i	$0.628983\pi$
$230$	−15.2861	+	5.56369i	−1.00794	+	0.366859i
$231$	−1.18913	+	6.74388i	−0.0782389	+	0.443715i
$232$	−3.40908	+	2.86056i	−0.223817	+	0.187805i
$233$	−4.59770	−	3.85792i	−0.301205	−	0.252741i	0.479641	−	0.877465i	$-0.340767\pi$
$233$	−4.59770	−	3.85792i	−0.301205	−	0.252741i	−0.780846	+	0.624724i	$0.785211\pi$
$234$	−0.155534	−	0.882077i	−0.0101676	−	0.0576632i
$235$	20.8265	+	36.0725i	1.35857	+	2.35311i
$236$	1.44589	−	2.50435i	0.0941192	−	0.163019i
$237$	12.7653	+	4.64618i	0.829194	+	0.301802i
$238$	4.41386	+	1.60651i	0.286108	+	0.104135i
$239$	11.1218	−	19.2635i	0.719408	−	1.24605i	−0.241827	−	0.970319i	$-0.577747\pi$
$239$	11.1218	−	19.2635i	0.719408	−	1.24605i	0.961235	−	0.275731i	$-0.0889200\pi$
$240$	3.79064	+	6.56558i	0.244685	+	0.423806i
$241$	3.43940	+	19.5058i	0.221551	+	1.25648i	0.869169	+	0.494515i	$0.164654\pi$
$241$	3.43940	+	19.5058i	0.221551	+	1.25648i	−0.647618	+	0.761965i	$0.724235\pi$
$242$	0.370059	+	0.310517i	0.0237883	+	0.0199608i
$243$	−10.7166	+	8.99229i	−0.687470	+	0.576856i
$244$	−2.29682	+	13.0259i	−0.147039	+	0.833899i
$245$	3.37376	−	1.22795i	0.215541	−	0.0784507i
$246$	2.29457			0.146296
$247$	2.61801	+	0.554582i	0.166580	+	0.0352872i
$248$	6.48937			0.412075
$249$	16.9075	−	6.15381i	1.07147	−	0.389982i
$250$	1.80181	−	10.2186i	0.113957	−	0.646279i
$251$	4.81051	−	4.03650i	0.303637	−	0.254782i	−0.478219	−	0.878240i	$-0.658718\pi$
$251$	4.81051	−	4.03650i	0.303637	−	0.254782i	0.781856	+	0.623459i	$0.214273\pi$
$252$	−1.11759	−	0.937769i	−0.0704015	−	0.0590739i
$253$	2.55151	+	14.4704i	0.160412	+	0.909743i
$254$	9.13463	+	15.8216i	0.573158	+	0.992738i
$255$	−17.8051	+	30.8393i	−1.11500	+	1.93123i
$256$	−0.939693	−	0.342020i	−0.0587308	−	0.0213763i
$257$	10.8026	+	3.93184i	0.673850	+	0.245261i	0.656205	−	0.754583i	$-0.272161\pi$
$257$	10.8026	+	3.93184i	0.673850	+	0.245261i	0.0176454	+	0.999844i	$0.494383\pi$
$258$	5.74468	−	9.95007i	0.357648	−	0.619465i
$259$	2.67296	+	4.62970i	0.166090	+	0.287676i
$260$	−0.382758	−	2.17073i	−0.0237377	−	0.134623i
$261$	4.97354	+	4.17329i	0.307854	+	0.258320i
$262$	6.19844	−	5.20111i	0.382941	−	0.321326i
$263$	0.702031	−	3.98142i	0.0432891	−	0.245505i	−0.955483	−	0.295046i	$-0.904665\pi$
$263$	0.702031	−	3.98142i	0.0432891	−	0.245505i	0.998772	+	0.0495416i	$0.0157760\pi$
$264$	6.43494	−	2.34213i	0.396043	−	0.144148i
$265$	21.9954			1.35117
$266$	3.84726	−	2.04904i	0.235891	−	0.125635i
$267$	3.15237			0.192922
$268$	6.02492	−	2.19289i	0.368030	−	0.133952i
$269$	−2.64818	+	15.0186i	−0.161463	+	0.915700i	0.791175	+	0.611590i	$0.209470\pi$
$269$	−2.64818	+	15.0186i	−0.161463	+	0.915700i	−0.952637	+	0.304109i	$0.901641\pi$
$270$	−8.95003	+	7.50997i	−0.544681	+	0.457042i
$271$	−13.7312	−	11.5219i	−0.834114	−	0.699904i	0.122118	−	0.992516i	$-0.461031\pi$
$271$	−13.7312	−	11.5219i	−0.834114	−	0.699904i	−0.956232	+	0.292611i	$0.905476\pi$
$272$	−0.815648	−	4.62577i	−0.0494559	−	0.280478i
$273$	0.648203	+	1.12272i	0.0392310	+	0.0679501i
$274$	2.27741	−	3.94459i	0.137583	−	0.238301i
$275$	−24.0443	−	8.75141i	−1.44993	−	0.527730i
$276$	−8.99049	−	3.27227i	−0.541164	−	0.196968i
$277$	1.79084	−	3.10183i	0.107601	−	0.186371i	−0.807197	−	0.590282i	$-0.799016\pi$
$277$	1.79084	−	3.10183i	0.107601	−	0.186371i	0.914798	+	0.403912i	$0.132350\pi$
$278$	−10.8472	−	18.7880i	−0.650574	−	1.12683i
$279$	−1.64400	−	9.32357i	−0.0984235	−	0.558187i
$280$	−2.75031	−	2.30779i	−0.164363	−	0.137917i
$281$	−5.43247	+	4.55838i	−0.324074	+	0.271930i	−0.790280	−	0.612746i	$-0.790065\pi$
$281$	−5.43247	+	4.55838i	−0.324074	+	0.271930i	0.466206	+	0.884676i	$0.345621\pi$
$282$	−4.25405	+	24.1259i	−0.253325	+	1.43668i
$283$	13.2317	−	4.81594i	0.786542	−	0.286278i	0.0826445	−	0.996579i	$-0.473663\pi$
$283$	13.2317	−	4.81594i	0.786542	−	0.286278i	0.703898	+	0.710301i	$0.251441\pi$
$284$	11.5793			0.687103
$285$	10.2335	+	31.4216i	0.606182	+	1.86125i
$286$	−1.99100			−0.117730
$287$	−1.02111	+	0.371653i	−0.0602742	+	0.0219380i
$288$	−0.253337	+	1.43675i	−0.0149280	+	0.0846610i
$289$	3.87848	−	3.25443i	0.228146	−	0.191437i
$290$	12.2395	+	10.2702i	0.718730	+	0.603086i
$291$	0.615234	+	3.48916i	0.0360656	+	0.204538i
$292$	8.16018	+	14.1339i	0.477539	+	0.827121i
$293$	−11.4480	+	19.8285i	−0.668798	+	1.15839i	0.309442	+	0.950918i	$0.399858\pi$
$293$	−11.4480	+	19.8285i	−0.668798	+	1.15839i	−0.978241	+	0.207474i	$0.933476\pi$
$294$	1.98427	+	0.722214i	0.115725	+	0.0421204i
$295$	−9.75614	−	3.55095i	−0.568025	−	0.206744i
$296$	2.67296	−	4.62970i	0.155363	−	0.269096i
$297$	5.27663	+	9.13940i	0.306181	+	0.530322i
$298$	−3.71732	−	21.0820i	−0.215339	−	1.22125i
$299$	2.13090	+	1.78804i	0.123233	+	0.103405i
$300$	12.7629	−	10.7094i	0.736868	−	0.618305i
$301$	−0.944825	+	5.35837i	−0.0544588	+	0.308851i
$302$	5.18731	−	1.88803i	0.298496	−	0.108644i
$303$	3.94564			0.226671
$304$	−3.69815	−	2.30731i	−0.212104	−	0.132333i
$305$	47.4881			2.71916
$306$	−6.43941	+	2.34376i	−0.368117	+	0.133984i
$307$	−5.69665	+	32.3073i	−0.325125	+	1.84388i	0.183668	+	0.982988i	$0.441203\pi$
$307$	−5.69665	+	32.3073i	−0.325125	+	1.84388i	−0.508793	+	0.860889i	$0.669908\pi$
$308$	−2.48427	+	2.08455i	−0.141554	+	0.118778i
$309$	−32.5560	−	27.3177i	−1.85205	−	1.55405i
$310$	−4.04576	−	22.9447i	−0.229784	−	1.30317i
$311$	−6.84837	−	11.8617i	−0.388336	−	0.672617i	0.603890	−	0.797068i	$-0.293617\pi$
$311$	−6.84837	−	11.8617i	−0.388336	−	0.672617i	−0.992226	+	0.124450i	$0.960283\pi$
$312$	0.648203	−	1.12272i	0.0366973	−	0.0635615i
$313$	−7.41273	−	2.69801i	−0.418993	−	0.152501i	0.123916	−	0.992293i	$-0.460455\pi$
$313$	−7.41273	−	2.69801i	−0.418993	−	0.152501i	−0.542908	+	0.839792i	$0.682677\pi$
$314$	−12.7646	−	4.64592i	−0.720346	−	0.262185i
$315$	−2.61894	+	4.53614i	−0.147561	+	0.255583i
$316$	3.21662	+	5.57135i	0.180949	+	0.313413i
$317$	4.86500	+	27.5908i	0.273246	+	1.54965i	0.744480	+	0.667645i	$0.232698\pi$
$317$	4.86500	+	27.5908i	0.273246	+	1.54965i	−0.471234	+	0.882008i	$0.656191\pi$
$318$	9.90997	+	8.31545i	0.555724	+	0.466307i
$319$	11.0556	−	9.27673i	0.618993	−	0.519397i
$320$	−0.623445	+	3.53573i	−0.0348516	+	0.197653i
$321$	−18.6008	+	6.77014i	−1.03820	+	0.377872i
$322$	4.53089			0.252497
$323$	0.700382	−	20.4623i	0.0389703	−	1.13855i
$324$	−11.2483			−0.624906
$325$	−4.55192	+	1.65676i	−0.252495	+	0.0919006i
$326$	1.09784	−	6.22618i	0.0608039	−	0.344836i
$327$	−15.0125	+	12.5970i	−0.830195	+	0.696616i
$328$	0.832416	+	0.698480i	0.0459625	+	0.0385671i
$329$	−2.01460	−	11.4253i	−0.111068	−	0.629900i
$330$	−12.2930	−	21.2920i	−0.676705	−	1.17209i
$331$	6.82505	−	11.8213i	0.375139	−	0.649760i	−0.615209	−	0.788364i	$-0.710928\pi$
$331$	6.82505	−	11.8213i	0.375139	−	0.649760i	0.990348	+	0.138605i	$0.0442617\pi$
$332$	8.00689	+	2.91427i	0.439435	+	0.159941i
$333$	−7.32886	−	2.66749i	−0.401619	−	0.146177i
$334$	−7.09946	+	12.2966i	−0.388465	+	0.672842i
$335$	−11.5097	−	19.9353i	−0.628841	−	1.08918i
$336$	−0.366678	−	2.07953i	−0.0200039	−	0.113448i
$337$	−13.2235	−	11.0958i	−0.720330	−	0.604429i	0.207146	−	0.978310i	$-0.433582\pi$
$337$	−13.2235	−	11.0958i	−0.720330	−	0.604429i	−0.927477	+	0.373881i	$0.878027\pi$
$338$	9.66984	−	8.11396i	0.525970	−	0.441341i
$339$	−3.18015	+	18.0356i	−0.172722	+	0.979557i
$340$	−15.8470	+	5.76782i	−0.859422	+	0.312804i
$341$	−21.0449			−1.13964
$342$	−2.37813	+	5.89783i	−0.128595	+	0.318918i
$343$	−1.00000			−0.0539949
$344$	5.11290	−	1.86094i	0.275669	−	0.100335i
$345$	−5.96480	+	33.8281i	−0.321134	+	1.82124i
$346$	−5.65807	+	4.74768i	−0.304180	+	0.255237i
$347$	−2.06390	−	1.73182i	−0.110796	−	0.0929689i	0.585707	−	0.810523i	$-0.300817\pi$
$347$	−2.06390	−	1.73182i	−0.110796	−	0.0929689i	−0.696503	+	0.717554i	$0.745262\pi$
$348$	1.63180	+	9.25441i	0.0874738	+	0.496089i
$349$	2.53271	+	4.38678i	0.135573	+	0.234819i	0.925816	−	0.377974i	$-0.123379\pi$
$349$	2.53271	+	4.38678i	0.135573	+	0.234819i	−0.790243	+	0.612793i	$0.790046\pi$
$350$	−3.94504	+	6.83302i	−0.210871	+	0.365240i
$351$	1.87739	+	0.683315i	0.100208	+	0.0364726i
$352$	3.04740	+	1.10916i	0.162427	+	0.0591187i
$353$	10.8540	−	18.7997i	0.577701	−	1.00061i	−0.418042	−	0.908428i	$-0.637283\pi$
$353$	10.8540	−	18.7997i	0.577701	−	1.00061i	0.995742	−	0.0921791i	$-0.0293832\pi$
$354$	−3.05315	−	5.28822i	−0.162273	−	0.281066i
$355$	−7.21903	−	40.9412i	−0.383146	−	2.17293i
$356$	1.14361	+	0.959600i	0.0606110	+	0.0508587i
$357$	7.59802	−	6.37550i	0.402130	−	0.337427i
$358$	1.10768	−	6.28195i	0.0585425	−	0.332011i
$359$	−4.71804	+	1.71722i	−0.249008	+	0.0906316i	−0.463509	−	0.886092i	$-0.653410\pi$
$359$	−4.71804	+	1.71722i	−0.249008	+	0.0906316i	0.214501	+	0.976724i	$0.431188\pi$
$360$	5.23789			0.276061
$361$	−13.6857	−	13.1796i	−0.720301	−	0.693662i
$362$	−22.2731			−1.17065
$363$	0.958556	−	0.348886i	0.0503111	−	0.0183118i
$364$	−0.106610	+	0.604614i	−0.00558787	+	0.0316904i
$365$	44.8861	−	37.6639i	2.34945	−	1.97142i
$366$	21.3956	+	17.9531i	1.11837	+	0.938423i
$367$	−1.30509	−	7.40152i	−0.0681250	−	0.386356i	−0.999738	−	0.0229036i	$-0.992709\pi$
$367$	−1.30509	−	7.40152i	−0.0681250	−	0.386356i	0.931613	−	0.363453i	$-0.118402\pi$
$368$	−2.26544	−	3.92386i	−0.118094	−	0.204546i
$369$	0.792656	−	1.37292i	0.0412640	−	0.0714714i
$370$	−18.0358	−	6.56451i	−0.937638	−	0.341272i
$371$	−5.75692	−	2.09535i	−0.298884	−	0.108785i
$372$	6.85151	−	11.8672i	0.355234	−	0.615284i
$373$	−7.04099	−	12.1954i	−0.364569	−	0.631451i	0.624138	−	0.781314i	$-0.285450\pi$
$373$	−7.04099	−	12.1954i	−0.364569	−	0.631451i	−0.988707	+	0.149863i	$0.952117\pi$
$374$	2.64513	+	15.0013i	0.136776	+	0.775697i
$375$	−16.7845	−	14.0838i	−0.866745	−	0.727286i
$376$	−8.88734	+	7.45736i	−0.458330	+	0.384584i
$377$	0.474438	−	2.69067i	0.0244348	−	0.138577i
$378$	3.05794	−	1.11300i	0.157283	−	0.0572464i
$379$	6.46372			0.332019			0.166010	−	0.986124i	$-0.446912\pi$
$379$	6.46372			0.332019			0.166010	+	0.986124i	$0.446912\pi$
$380$	−5.85242	+	14.5142i	−0.300223	+	0.744561i
$381$	38.5776			1.97639
$382$	−22.0009	+	8.00768i	−1.12566	+	0.409708i
$383$	−3.21563	+	18.2367i	−0.164311	+	0.931854i	0.785461	+	0.618911i	$0.212426\pi$
$383$	−3.21563	+	18.2367i	−0.164311	+	0.931854i	−0.949772	+	0.312943i	$0.898685\pi$
$384$	−1.61759	+	1.35732i	−0.0825473	+	0.0692654i
$385$	8.91921	+	7.48410i	0.454565	+	0.381425i
$386$	2.63210	+	14.9274i	0.133971	+	0.759785i
$387$	−3.96899	−	6.87449i	−0.201755	−	0.349450i
$388$	−0.838930	+	1.45307i	−0.0425902	+	0.0737684i
$389$	34.9631	+	12.7255i	1.77270	+	0.645210i	0.999945	+	0.0105070i	$0.00334453\pi$
$389$	34.9631	+	12.7255i	1.77270	+	0.645210i	0.772756	+	0.634703i	$0.218878\pi$
$390$	−4.37376	−	1.59192i	−0.221474	−	0.0806099i
$391$	10.6411	−	18.4309i	0.538143	−	0.932090i
$392$	0.500000	+	0.866025i	0.0252538	+	0.0437409i
$393$	−2.96697	−	16.8265i	−0.149664	−	0.848786i
$394$	11.1635	+	9.36728i	0.562408	+	0.471917i
$395$	17.6934	−	14.8465i	0.890253	−	0.747011i
$396$	0.821567	−	4.65934i	0.0412853	−	0.234140i
$397$	−32.3119	+	11.7606i	−1.62169	+	0.590245i	−0.983702	−	0.179805i	$-0.942453\pi$
$397$	−32.3119	+	11.7606i	−1.62169	+	0.590245i	−0.637983	+	0.770050i	$0.720231\pi$
$398$	−7.05899			−0.353835
$399$	0.314860	−	9.19892i	0.0157627	−	0.460522i
$400$	7.89009			0.394504
$401$	−23.2681	+	8.46890i	−1.16195	+	0.422917i	−0.849795	−	0.527113i	$-0.823275\pi$
$401$	−23.2681	+	8.46890i	−1.16195	+	0.422917i	−0.312159	+	0.950030i	$0.601052\pi$
$402$	2.35098	−	13.3331i	0.117256	−	0.664994i
$403$	−3.05199	+	2.56092i	−0.152030	+	0.127569i
$404$	1.43139	+	1.20108i	0.0712142	+	0.0597558i
$405$	7.01270	+	39.7710i	0.348464	+	1.97624i
$406$	−2.22512	−	3.85402i	−0.110431	−	0.191272i
$407$	−8.66836	+	15.0140i	−0.429675	+	0.744218i
$408$	−9.32035	−	3.39233i	−0.461426	−	0.167945i
$409$	−7.95403	−	2.89503i	−0.393302	−	0.143150i	0.137796	−	0.990461i	$-0.455998\pi$
$409$	−7.95403	−	2.89503i	−0.393302	−	0.143150i	−0.531098	+	0.847311i	$0.678220\pi$
$410$	1.95067	−	3.37866i	0.0963368	−	0.166860i
$411$	−4.80901	−	8.32945i	−0.237211	−	0.410861i
$412$	−3.49489	−	19.8205i	−0.172181	−	0.976486i
$413$	2.21523	+	1.85880i	0.109004	+	0.0914654i
$414$	−5.06367	+	4.24893i	−0.248866	+	0.208823i
$415$	5.31222	−	30.1271i	0.260767	−	1.47888i
$416$	0.576916	−	0.209980i	0.0282856	−	0.0102951i
$417$	−45.8103			−2.24334
$418$	11.9930	+	7.48255i	0.586599	+	0.365983i
$419$	−10.9702			−0.535929			−0.267964	−	0.963429i	$-0.586351\pi$
$419$	−10.9702			−0.535929			−0.267964	+	0.963429i	$0.586351\pi$
$420$	−7.12407	+	2.59295i	−0.347619	+	0.126523i
$421$	5.57817	−	31.6354i	0.271864	−	1.54182i	−0.476888	−	0.878964i	$-0.658235\pi$
$421$	5.57817	−	31.6354i	0.271864	−	1.54182i	0.748751	−	0.662851i	$-0.230654\pi$
$422$	4.36306	−	3.66104i	0.212391	−	0.178217i
$423$	12.9658	+	10.8796i	0.630420	+	0.528985i
$424$	1.06384	+	6.03331i	0.0516644	+	0.293003i
$425$	18.5304	+	32.0955i	0.898855	+	1.55686i
$426$	12.2255	−	21.1751i	0.592325	−	1.02594i
$427$	−12.4292	−	4.52386i	−0.601491	−	0.218925i
$428$	−8.80881	−	3.20615i	−0.425790	−	0.154975i
$429$	−2.10211	+	3.64096i	−0.101491	+	0.175787i
$430$	−9.76741	−	16.9176i	−0.471026	−	0.815841i
$431$	−1.26164	−	7.15509i	−0.0607709	−	0.344649i	−0.999999	−	0.00135534i	$-0.999569\pi$
$431$	−1.26164	−	7.15509i	−0.0607709	−	0.344649i	0.939228	−	0.343293i	$-0.111543\pi$
$432$	−2.49285	−	2.09175i	−0.119937	−	0.100639i
$433$	13.9655	−	11.7185i	0.671140	−	0.563153i	−0.242263	−	0.970211i	$-0.577890\pi$
$433$	13.9655	−	11.7185i	0.671140	−	0.563153i	0.913403	+	0.407057i	$0.133445\pi$
$434$	−1.12687	+	6.39078i	−0.0540913	+	0.306767i
$435$	31.7038	−	11.5392i	1.52008	−	0.553264i
$436$	−9.28080			−0.444470
$437$	−6.11599	−	18.7788i	−0.292567	−	0.898314i
$438$	34.4623			1.64667
$439$	30.5782	−	11.1295i	1.45942	−	0.531184i	0.514212	−	0.857663i	$-0.328085\pi$
$439$	30.5782	−	11.1295i	1.45942	−	0.531184i	0.945204	+	0.326479i	$0.105862\pi$
$440$	2.02182	−	11.4663i	0.0963865	−	0.546635i
$441$	1.11759	−	0.937769i	0.0532185	−	0.0446557i
$442$	2.20909	+	1.85364i	0.105076	+	0.0881689i
$443$	−0.00328509	−	0.0186307i	−0.000156079	−	0.000885169i	0.984730	−	0.174091i	$-0.0556986\pi$
$443$	−0.00328509	−	0.0186307i	−0.000156079	−	0.000885169i	−0.984886	+	0.173206i	$0.944587\pi$
$444$	−5.64426	−	9.77614i	−0.267865	−	0.463955i
$445$	2.67991	−	4.64174i	0.127040	−	0.220040i
$446$	17.4629	+	6.35598i	0.826892	+	0.300964i
$447$	−42.4776	−	15.4606i	−2.00912	−	0.731261i
$448$	0.500000	−	0.866025i	0.0236228	−	0.0409159i
$449$	−2.42842	−	4.20615i	−0.114604	−	0.198500i	0.803017	−	0.595956i	$-0.203227\pi$
$449$	−2.42842	−	4.20615i	−0.114604	−	0.198500i	−0.917622	+	0.397455i	$0.869893\pi$
$450$	−1.99885	−	11.3360i	−0.0942267	−	0.534386i
$451$	−2.69951	−	2.26516i	−0.127115	−	0.106662i
$452$	−6.64382	+	5.57482i	−0.312499	+	0.262218i
$453$	2.02414	−	11.4795i	0.0951025	−	0.539353i
$454$	0.495625	−	0.180393i	0.0232608	−	0.00846625i
$455$	2.20422			0.103335
$456$	−8.12393	+	4.32678i	−0.380438	+	0.202620i
$457$	30.2842			1.41663			0.708317	−	0.705895i	$-0.249455\pi$
$457$	30.2842			1.41663			0.708317	+	0.705895i	$0.249455\pi$
$458$	−11.2115	+	4.08066i	−0.523880	+	0.190677i
$459$	2.65427	−	15.0531i	0.123891	−	0.702619i
$460$	−12.4614	+	10.4563i	−0.581014	+	0.487528i
$461$	15.8133	+	13.2689i	0.736499	+	0.617996i	0.931895	−	0.362728i	$-0.118155\pi$
$461$	15.8133	+	13.2689i	0.736499	+	0.617996i	−0.195396	+	0.980725i	$0.562599\pi$
$462$	1.18913	+	6.74388i	0.0553233	+	0.313754i
$463$	−10.8567	−	18.8044i	−0.504554	−	0.873913i	−0.999986	−	0.00526639i	$-0.998324\pi$
$463$	−10.8567	−	18.8044i	−0.504554	−	0.873913i	0.495432	−	0.868647i	$-0.335010\pi$
$464$	−2.22512	+	3.85402i	−0.103299	+	0.178918i
$465$	−46.2307	−	16.8266i	−2.14390	−	0.780315i
$466$	−5.63991	−	2.05276i	−0.261264	−	0.0950922i
$467$	−9.47555	+	16.4121i	−0.438476	+	0.759463i	−0.997572	−	0.0696400i	$-0.977815\pi$
$467$	−9.47555	+	16.4121i	−0.438476	+	0.759463i	0.559096	+	0.829103i	$0.311148\pi$
$468$	−0.447842	−	0.775685i	−0.0207015	−	0.0358561i
$469$	1.11336	+	6.31417i	0.0514102	+	0.291562i
$470$	31.9080	+	26.7740i	1.47181	+	1.23499i
$471$	−21.9730	+	18.4375i	−1.01246	+	0.849555i
$472$	0.502151	−	2.84784i	0.0231134	−	0.131083i
$473$	−16.5810	+	6.03500i	−0.762397	+	0.277490i
$474$	13.5845			0.623958
$475$	33.6455	+	7.12724i	1.54376	+	0.327020i
$476$	4.69713			0.215292
$477$	8.39882	−	3.05692i	0.384555	−	0.139967i
$478$	3.86255	−	21.9056i	0.176669	−	1.00194i
$479$	15.5869	−	13.0790i	0.712184	−	0.597593i	−0.213027	−	0.977046i	$-0.568332\pi$
$479$	15.5869	−	13.0790i	0.712184	−	0.597593i	0.925211	+	0.379453i	$0.123888\pi$
$480$	5.80759	+	4.87315i	0.265079	+	0.222428i
$481$	0.569927	+	3.23222i	0.0259864	+	0.147376i
$482$	9.90336	+	17.1531i	0.451086	+	0.781303i
$483$	4.78374	−	8.28568i	0.217668	−	0.377012i
$484$	0.453945	+	0.165222i	0.0206339	+	0.00751011i
$485$	5.66069	+	2.06032i	0.257039	+	0.0935544i
$486$	−6.99476	+	12.1153i	−0.317289	+	0.549560i
$487$	−0.291070	−	0.504148i	−0.0131896	−	0.0228451i	0.859355	−	0.511379i	$-0.170865\pi$
$487$	−0.291070	−	0.504148i	−0.0131896	−	0.0228451i	−0.872545	+	0.488534i	$0.837532\pi$
$488$	2.29682	+	13.0259i	0.103972	+	0.589656i
$489$	−10.2268	−	8.58128i	−0.462471	−	0.388059i
$490$	2.75031	−	2.30779i	0.124246	−	0.104255i
$491$	−5.82789	+	33.0516i	−0.263009	+	1.49160i	0.511637	+	0.859202i	$0.329039\pi$
$491$	−5.82789	+	33.0516i	−0.263009	+	1.49160i	−0.774646	+	0.632396i	$0.782072\pi$
$492$	2.15619	−	0.784788i	0.0972084	−	0.0353810i
$493$	−20.9033			−0.941439
$494$	2.64980	−	0.374276i	0.119220	−	0.0168395i
$495$	−16.9864			−0.763481
$496$	6.09801	−	2.21949i	0.273809	−	0.0996582i
$497$	−2.01072	+	11.4033i	−0.0901930	+	0.511510i
$498$	13.7831	−	11.5654i	0.617635	−	0.518257i
$499$	−5.91007	−	4.95914i	−0.264571	−	0.222002i	0.500845	−	0.865537i	$-0.333023\pi$
$499$	−5.91007	−	4.95914i	−0.264571	−	0.222002i	−0.765416	+	0.643535i	$0.777467\pi$
$500$	−1.80181	−	10.2186i	−0.0805794	−	0.456989i
$501$	14.9913	+	25.9657i	0.669763	+	1.16006i
$502$	3.13984	−	5.43836i	0.140138	−	0.242726i
$503$	−16.1214	−	5.86771i	−0.718817	−	0.261628i	−0.0433937	−	0.999058i	$-0.513817\pi$
$503$	−16.1214	−	5.86771i	−0.718817	−	0.261628i	−0.675424	+	0.737430i	$0.736039\pi$
$504$	−1.37093	−	0.498976i	−0.0610659	−	0.0222262i
$505$	3.35430	−	5.80981i	0.149264	−	0.258533i
$506$	7.34679	+	12.7250i	0.326605	+	0.565696i
$507$	−4.62860	−	26.2501i	−0.205563	−	1.16581i
$508$	13.9951	+	11.7433i	0.620931	+	0.521023i
$509$	−19.8795	+	16.6809i	−0.881144	+	0.739368i	−0.966414	−	0.256990i	$-0.917269\pi$
$509$	−19.8795	+	16.6809i	−0.881144	+	0.739368i	0.0852701	+	0.996358i	$0.472825\pi$
$510$	−6.18365	+	35.0692i	−0.273817	+	1.55289i
$511$	−15.3361	+	5.58189i	−0.678430	+	0.246928i
$512$	−1.00000			−0.0441942
$513$	−8.74069	−	11.1716i	−0.385911	−	0.493239i
$514$	11.4959			0.507064
$515$	−67.9011	+	24.7140i	−2.99208	+	1.08903i
$516$	1.99511	−	11.3148i	0.0878296	−	0.498107i
$517$	28.8215	−	24.1841i	1.26757	−	1.06361i
$518$	4.09521	+	3.43629i	0.179933	+	0.150982i
$519$	2.70831	+	15.3596i	0.118882	+	0.674212i
$520$	−1.10211	−	1.90891i	−0.0483307	−	0.0837112i
$521$	9.98577	−	17.2959i	0.437485	−	0.757746i	−0.560010	−	0.828486i	$-0.689203\pi$
$521$	9.98577	−	17.2959i	0.437485	−	0.757746i	0.997495	+	0.0707401i	$0.0225361\pi$
$522$	6.10095	+	2.22056i	0.267031	+	0.0971914i
$523$	−7.93272	−	2.88727i	−0.346874	−	0.126252i	0.162707	−	0.986674i	$-0.447977\pi$
$523$	−7.93272	−	2.88727i	−0.346874	−	0.126252i	−0.509581	+	0.860423i	$0.670200\pi$
$524$	4.04575	−	7.00744i	0.176739	−	0.306121i
$525$	8.33041	+	14.4287i	0.363569	+	0.629719i
$526$	−0.702031	−	3.98142i	−0.0306100	−	0.173598i
$527$	23.3501	+	19.5931i	1.01715	+	0.853487i
$528$	5.24581	−	4.40176i	0.228295	−	0.191562i
$529$	−0.429093	+	2.43351i	−0.0186562	+	0.105805i
$530$	20.6689	−	7.52287i	0.897801	−	0.326773i
$531$	−4.21884			−0.183082
$532$	2.91443	−	3.24131i	0.126357	−	0.140529i
$533$	−0.667134			−0.0288968
$534$	2.96226	−	1.07817i	0.128189	−	0.0466571i
$535$	−5.84426	+	33.1445i	−0.252670	+	1.43296i
$536$	4.91156	−	4.12128i	0.212147	−	0.178012i
$537$	−10.3184	−	8.65814i	−0.445271	−	0.373626i
$538$	2.64818	+	15.0186i	0.114171	+	0.647497i
$539$	−1.62149	−	2.80850i	−0.0698425	−	0.120971i
$540$	−5.84172	+	10.1181i	−0.251387	+	0.435416i
$541$	36.9531	+	13.4498i	1.58874	+	0.578253i	0.977080	−	0.212871i	$-0.0682813\pi$
$541$	36.9531	+	13.4498i	1.58874	+	0.578253i	0.611656	+	0.791124i	$0.290504\pi$
$542$	−16.8439	−	6.13066i	−0.723506	−	0.263335i
$543$	−23.5161	+	40.7311i	−1.00917	+	1.74794i
$544$	−2.34856	−	4.06783i	−0.100694	−	0.174407i
$545$	5.78607	+	32.8144i	0.247848	+	1.40562i
$546$	0.993104	+	0.833313i	0.0425009	+	0.0356625i
$547$	−15.8782	+	13.3234i	−0.678903	+	0.569667i	−0.915686	−	0.401896i	$-0.868351\pi$
$547$	−15.8782	+	13.3234i	−0.678903	+	0.569667i	0.236783	+	0.971563i	$0.423907\pi$
$548$	0.790936	−	4.48562i	0.0337871	−	0.191616i
$549$	18.1331	−	6.59990i	0.773900	−	0.281677i
$550$	−25.5874			−1.09105
$551$	−12.9699	+	14.4246i	−0.552537	+	0.614509i
$552$	−9.56748			−0.407219
$553$	−6.04527	+	2.20030i	−0.257071	+	0.0935662i
$554$	0.621952	−	3.52727i	0.0264242	−	0.149859i
$555$	−31.0469	+	26.0515i	−1.31787	+	1.10582i
$556$	−16.6189	−	13.9449i	−0.704800	−	0.591397i
$557$	−5.32059	−	30.1746i	−0.225441	−	1.27854i	−0.861841	−	0.507178i	$-0.830689\pi$
$557$	−5.32059	−	30.1746i	−0.225441	−	1.27854i	0.636401	−	0.771359i	$-0.280423\pi$
$558$	−4.73370	−	8.19901i	−0.200393	−	0.347092i
$559$	−1.67024	+	2.89293i	−0.0706435	+	0.122358i
$560$	−3.37376	−	1.22795i	−0.142567	−	0.0518902i
$561$	30.2257	+	11.0013i	1.27613	+	0.464474i
$562$	−3.54579	+	6.14149i	−0.149570	+	0.259063i
$563$	9.66523	+	16.7407i	0.407341	+	0.705535i	0.994591	−	0.103870i	$-0.0331227\pi$
$563$	9.66523	+	16.7407i	0.407341	+	0.705535i	−0.587250	+	0.809406i	$0.699789\pi$
$564$	4.25405	+	24.1259i	0.179128	+	1.01588i
$565$	23.8531	+	20.0152i	1.00351	+	0.842044i
$566$	10.7866	−	9.05101i	0.453394	−	0.380442i
$567$	1.95325	−	11.0774i	0.0820287	−	0.465208i
$568$	10.8809	−	3.96034i	0.456554	−	0.166172i
$569$	−18.0853			−0.758174			−0.379087	−	0.925361i	$-0.623762\pi$
$569$	−18.0853			−0.758174			−0.379087	+	0.925361i	$0.623762\pi$
$570$	20.3632	+	26.0265i	0.852919	+	1.09013i
$571$	1.49157			0.0624203			0.0312102	−	0.999513i	$-0.490064\pi$
$571$	1.49157			0.0624203			0.0312102	+	0.999513i	$0.490064\pi$
$572$	−1.87093	+	0.680961i	−0.0782274	+	0.0284724i
$573$	−8.58498	+	48.6879i	−0.358643	+	2.03396i
$574$	−0.832416	+	0.698480i	−0.0347444	+	0.0291540i
$575$	27.3854	+	22.9791i	1.14205	+	0.958294i
$576$	0.253337	+	1.43675i	0.0105557	+	0.0598644i
$577$	−13.1370	−	22.7539i	−0.546900	−	0.947258i	−0.998485	−	0.0550301i	$-0.982475\pi$
$577$	−13.1370	−	22.7539i	−0.546900	−	0.947258i	0.451585	−	0.892228i	$-0.350859\pi$
$578$	2.53150	−	4.38469i	0.105297	−	0.182379i
$579$	30.0769	+	10.9471i	1.24995	+	0.454946i
$580$	15.0140	+	5.46465i	0.623423	+	0.226907i
$581$	−4.26038	+	7.37919i	−0.176750	+	0.306140i
$582$	1.77149	+	3.06832i	0.0734308	+	0.127186i
$583$	−3.45000	−	19.5659i	−0.142884	−	0.810337i
$584$	12.5021	+	10.4905i	0.517342	+	0.434101i
$585$	−2.46341	+	2.06705i	−0.101849	+	0.0854619i
$586$	−3.97584	+	22.5481i	−0.164241	+	0.931454i
$587$	−13.3963	+	4.87584i	−0.552923	+	0.201247i	−0.603345	−	0.797481i	$-0.706166\pi$
$587$	−13.3963	+	4.87584i	−0.552923	+	0.201247i	0.0504220	+	0.998728i	$0.483943\pi$
$588$	2.11161			0.0870815
$589$	28.0085	−	3.95610i	1.15407	−	0.163008i
$590$	−10.3823			−0.427431
$591$	28.9165	−	10.5248i	1.18947	−	0.432930i
$592$	0.928309	−	5.26470i	0.0381533	−	0.216378i
$593$	19.9327	−	16.7255i	0.818537	−	0.686834i	−0.134092	−	0.990969i	$-0.542812\pi$
$593$	19.9327	−	16.7255i	0.818537	−	0.686834i	0.952629	+	0.304135i	$0.0983673\pi$
$594$	8.08427	+	6.78351i	0.331702	+	0.278331i
$595$	−2.92840	−	16.6078i	−0.120053	−	0.680853i
$596$	−10.7036	−	18.5392i	−0.438437	−	0.759395i
$597$	−7.45292	+	12.9088i	−0.305028	+	0.528324i
$598$	2.61394	+	0.951397i	0.106892	+	0.0389055i
$599$	24.4818	+	8.91064i	1.00030	+	0.364079i	0.789700	−	0.613493i	$-0.210236\pi$
$599$	24.4818	+	8.91064i	1.00030	+	0.364079i	0.210599	+	0.977573i	$0.432459\pi$
$600$	8.33041	−	14.4287i	0.340087	−	0.589049i
$601$	−13.2899	−	23.0188i	−0.542106	−	0.938955i	−0.998783	−	0.0493225i	$-0.984294\pi$
$601$	−13.2899	−	23.0188i	−0.542106	−	0.938955i	0.456677	−	0.889633i	$-0.349040\pi$
$602$	0.944825	+	5.35837i	0.0385082	+	0.218391i
$603$	−7.16551	−	6.01258i	−0.291802	−	0.244851i
$604$	4.22873	−	3.54833i	0.172065	−	0.144379i
$605$	0.301173	−	1.70803i	0.0122444	−	0.0694415i
$606$	3.70769	−	1.34949i	0.150615	−	0.0548193i
$607$	10.3567			0.420367			0.210184	−	0.977662i	$-0.432594\pi$
$607$	10.3567			0.420367			0.210184	+	0.977662i	$0.432594\pi$
$608$	−4.26427	−	0.903315i	−0.172939	−	0.0366343i
$609$	−9.39718			−0.380793
$610$	44.6242	−	16.2419i	1.80678	−	0.657615i
$611$	1.23684	−	7.01449i	0.0500373	−	0.283776i
$612$	−5.24946	+	4.40482i	−0.212197	+	0.178054i
$613$	−10.0884	−	8.46514i	−0.407465	−	0.341904i	0.415906	−	0.909408i	$-0.363465\pi$
$613$	−10.0884	−	8.46514i	−0.407465	−	0.341904i	−0.823371	+	0.567504i	$0.807909\pi$
$614$	5.69665	+	32.3073i	0.229898	+	1.30382i
$615$	−4.11906	−	7.13443i	−0.166097	−	0.287688i
$616$	−1.62149	+	2.80850i	−0.0653317	+	0.113158i
$617$	−5.90362	−	2.14874i	−0.237671	−	0.0865050i	0.220439	−	0.975401i	$-0.429251\pi$
$617$	−5.90362	−	2.14874i	−0.237671	−	0.0865050i	−0.458110	+	0.888896i	$0.651473\pi$
$618$	−39.9359	−	14.5355i	−1.60646	−	0.584702i
$619$	3.43197	−	5.94434i	0.137942	−	0.238923i	−0.788775	−	0.614682i	$-0.789284\pi$
$619$	3.43197	−	5.94434i	0.137942	−	0.238923i	0.926718	+	0.375759i	$0.122618\pi$
$620$	−11.6493	−	20.1772i	−0.467848	−	0.810336i
$621$	−2.56033	−	14.5204i	−0.102743	−	0.582682i
$622$	−10.4923	−	8.80410i	−0.420704	−	0.353012i
$623$	−1.14361	+	0.959600i	−0.0458176	+	0.0384456i
$624$	0.225118	−	1.27671i	0.00901195	−	0.0511093i
$625$	2.06447	−	0.751404i	0.0825787	−	0.0300562i
$626$	−7.88847			−0.315287
$627$	26.3457	−	14.0317i	1.05215	−	0.560371i
$628$	−13.5838			−0.542052
$629$	23.5961	−	8.58829i	0.940839	−	0.342437i
$630$	−0.909550	+	5.15831i	−0.0362373	+	0.205512i
$631$	−26.5423	+	22.2717i	−1.05663	+	0.886621i	−0.993776	−	0.111401i	$-0.964466\pi$
$631$	−26.5423	+	22.2717i	−1.05663	+	0.886621i	−0.0628585	+	0.998022i	$0.520022\pi$
$632$	4.92815	+	4.13521i	0.196031	+	0.164490i
$633$	−2.08844	−	11.8441i	−0.0830080	−	0.470762i
$634$	14.0082	+	24.2629i	0.556337	+	0.963604i
$635$	32.7959	−	56.8041i	1.30146	−	2.25420i
$636$	12.1564	+	4.42456i	0.482032	+	0.175445i
$637$	−0.576916	−	0.209980i	−0.0228582	−	0.00831972i
$638$	7.21602	−	12.4985i	0.285685	−	0.494821i
$639$	−8.44655	−	14.6298i	−0.334140	−	0.578748i
$640$	0.623445	+	3.53573i	0.0246438	+	0.139762i
$641$	−1.78715	−	1.49960i	−0.0705882	−	0.0592305i	0.606811	−	0.794846i	$-0.292449\pi$
$641$	−1.78715	−	1.49960i	−0.0705882	−	0.0592305i	−0.677399	+	0.735616i	$0.736893\pi$
$642$	−15.1635	+	12.7237i	−0.598456	+	0.502164i
$643$	−7.31435	+	41.4818i	−0.288450	+	1.63588i	0.404245	+	0.914651i	$0.367534\pi$
$643$	−7.31435	+	41.4818i	−0.288450	+	1.63588i	−0.692695	+	0.721230i	$0.743577\pi$
$644$	4.25764	−	1.54966i	0.167775	−	0.0610650i
$645$	−41.2500			−1.62422
$646$	−6.34038	−	19.4678i	−0.249459	−	0.765952i
$647$	18.7499			0.737133			0.368566	−	0.929601i	$-0.379849\pi$
$647$	18.7499			0.737133			0.368566	+	0.929601i	$0.379849\pi$
$648$	−10.5700	+	3.84715i	−0.415227	+	0.151130i
$649$	−1.62847	+	9.23550i	−0.0639229	+	0.362525i
$650$	−3.71076	+	3.11369i	−0.145548	+	0.122129i
$651$	10.4971	+	8.80814i	0.411415	+	0.345218i
$652$	−1.09784	−	6.22618i	−0.0429949	−	0.243836i
$653$	−6.44685	−	11.1663i	−0.252285	−	0.436970i	0.711870	−	0.702311i	$-0.247849\pi$
$653$	−6.44685	−	11.1663i	−0.252285	−	0.436970i	−0.964154	+	0.265342i	$0.914515\pi$
$654$	−9.79873	+	16.9719i	−0.383161	+	0.663654i
$655$	−27.2987	−	9.93592i	−1.06665	−	0.388229i
$656$	1.02111	+	0.371653i	0.0398676	+	0.0145106i
$657$	11.9050	−	20.6200i	0.464457	−	0.804463i
$658$	−5.80080	−	10.0473i	−0.226139	−	0.391684i
$659$	3.24664	+	18.4126i	0.126471	+	0.717253i	0.980423	+	0.196902i	$0.0630879\pi$
$659$	3.24664	+	18.4126i	0.126471	+	0.717253i	−0.853952	+	0.520351i	$0.825801\pi$
$660$	−18.8339	−	15.8035i	−0.733109	−	0.615152i
$661$	26.6112	−	22.3294i	1.03505	−	0.868514i	0.0436105	−	0.999049i	$-0.486114\pi$
$661$	26.6112	−	22.3294i	1.03505	−	0.868514i	0.991444	+	0.130535i	$0.0416695\pi$
$662$	2.37032	−	13.4427i	0.0921250	−	0.522467i
$663$	5.72215	−	2.08269i	0.222230	−	0.0808850i
$664$	8.52076			0.330669
$665$	−13.2774	−	8.28387i	−0.514875	−	0.321235i
$666$	−7.79921			−0.302213
$667$	−18.9475	+	6.89633i	−0.733651	+	0.267027i
$668$	−2.46562	+	13.9832i	−0.0953976	+	0.541027i
$669$	30.0607	−	25.2239i	1.16221	−	0.975213i
$670$	−17.6338	−	14.7966i	−0.681255	−	0.571641i
$671$	−7.44855	−	42.2428i	−0.287548	−	1.63077i
$672$	−1.05581	−	1.82871i	−0.0407286	−	0.0705440i
$673$	16.1114	−	27.9058i	0.621049	−	1.07569i	−0.368241	−	0.929730i	$-0.620040\pi$
$673$	16.1114	−	27.9058i	0.621049	−	1.07569i	0.989291	−	0.145959i	$-0.0466267\pi$
$674$	−16.2210	−	5.90397i	−0.624811	−	0.227412i
$675$	24.1274	+	8.78165i	0.928663	+	0.338006i
$676$	6.31154	−	10.9319i	0.242751	−	0.420458i
$677$	12.8219	+	22.2082i	0.492785	+	0.853529i	0.999965	−	0.00831110i	$-0.00264553\pi$
$677$	12.8219	+	22.2082i	0.492785	+	0.853529i	−0.507180	+	0.861840i	$0.669312\pi$
$678$	3.18015	+	18.0356i	0.122133	+	0.692651i
$679$	−1.28531	−	1.07851i	−0.0493259	−	0.0413893i
$680$	−12.9186	+	10.8400i	−0.495404	+	0.415694i
$681$	0.193398	−	1.09681i	0.00741103	−	0.0420300i
$682$	−19.7757	+	7.19778i	−0.757252	+	0.275617i
$683$	−3.96087			−0.151558			−0.0757792	−	0.997125i	$-0.524144\pi$
$683$	−3.96087			−0.151558			−0.0757792	+	0.997125i	$0.524144\pi$
$684$	−0.217536	+	6.35552i	−0.00831770	+	0.243009i
$685$	−16.3531			−0.624819
$686$	−0.939693	+	0.342020i	−0.0358776	+	0.0130584i
$687$	−4.37485	+	24.8110i	−0.166911	+	0.946599i
$688$	4.16807	−	3.49743i	0.158906	−	0.133338i
$689$	−2.88127	−	2.41768i	−0.109768	−	0.0921061i
$690$	5.96480	+	33.8281i	0.227076	+	1.28781i
$691$	−8.46189	−	14.6564i	−0.321905	−	0.557557i	0.658976	−	0.752164i	$-0.270990\pi$
$691$	−8.46189	−	14.6564i	−0.321905	−	0.557557i	−0.980881	+	0.194608i	$0.937657\pi$
$692$	−3.69304	+	6.39654i	−0.140388	+	0.243160i
$693$	4.44589	+	1.61817i	0.168885	+	0.0614692i
$694$	−2.53175	−	0.921482i	−0.0961039	−	0.0349790i
$695$	−38.9446	+	67.4540i	−1.47725	+	2.55868i
$696$	4.69859	+	8.13819i	0.178100	+	0.308477i
$697$	0.886317	+	5.02655i	0.0335716	+	0.190394i
$698$	3.88033	+	3.25599i	0.146873	+	0.123241i
$699$	−9.70855	+	8.14644i	−0.367211	+	0.308127i
$700$	−1.37010	+	7.77022i	−0.0517849	+	0.293687i
$701$	−15.8276	+	5.76078i	−0.597801	+	0.217582i	−0.623157	−	0.782097i	$-0.714150\pi$
$701$	−15.8276	+	5.76078i	−0.597801	+	0.217582i	0.0253562	+	0.999678i	$0.491928\pi$
$702$	1.99788			0.0754051
$703$	8.71425	−	21.6116i	0.328664	−	0.815096i
$704$	3.24298			0.122224
$705$	82.6506	−	30.0823i	3.11280	−	1.13297i
$706$	3.76956	−	21.3782i	0.141869	−	0.804580i
$707$	−1.43139	+	1.20108i	−0.0538329	+	0.0451712i
$708$	−4.67770	−	3.92506i	−0.175799	−	0.147513i
$709$	−4.98833	−	28.2902i	−0.187341	−	1.06246i	−0.922911	−	0.385014i	$-0.874197\pi$
$709$	−4.98833	−	28.2902i	−0.187341	−	1.06246i	0.735570	−	0.677449i	$-0.236914\pi$
$710$	−20.7864	−	36.0031i	−0.780099	−	1.35117i
$711$	4.69276	−	8.12810i	0.175992	−	0.304827i
$712$	1.40284	+	0.510592i	0.0525737	+	0.0191353i
$713$	27.6294	+	10.0563i	1.03473	+	0.376611i
$714$	4.95926	−	8.58969i	0.185596	−	0.321461i
$715$	3.57412	+	6.19055i	0.133664	+	0.231514i
$716$	−1.10768	−	6.28195i	−0.0413958	−	0.234767i
$717$	−35.9809	−	30.1916i	−1.34373	−	1.12753i
$718$	−3.84618	+	3.22733i	−0.143538	+	0.120443i
$719$	−5.60384	+	31.7810i	−0.208988	+	1.18523i	0.682052	+	0.731304i	$0.261088\pi$
$719$	−5.60384	+	31.7810i	−0.208988	+	1.18523i	−0.891040	+	0.453926i	$0.850023\pi$
$720$	4.92200	−	1.79146i	0.183432	−	0.0667639i
$721$	20.1263			0.749541
$722$	−17.3680	−	7.70396i	−0.646372	−	0.286712i
$723$	41.8241			1.55546
$724$	−20.9299	+	7.61785i	−0.777853	+	0.283115i
$725$	6.09727	−	34.5793i	0.226447	−	1.28424i
$726$	0.781422	−	0.655691i	0.0290013	−	0.0243350i
$727$	4.96962	+	4.17001i	0.184313	+	0.154657i	0.730276	−	0.683152i	$-0.239392\pi$
$727$	4.96962	+	4.17001i	0.184313	+	0.154657i	−0.545963	+	0.837809i	$0.683836\pi$
$728$	0.106610	+	0.604614i	0.00395122	+	0.0224085i
$729$	−2.10224	−	3.64119i	−0.0778608	−	0.134859i
$730$	29.2973	−	50.7444i	1.08434	−	1.87814i
$731$	24.0159	+	8.74108i	0.888261	+	0.323301i
$732$	26.2456	+	9.55263i	0.970067	+	0.353076i
$733$	7.53683	−	13.0542i	0.278379	−	0.482167i	−0.692603	−	0.721319i	$-0.743536\pi$
$733$	7.53683	−	13.0542i	0.278379	−	0.482167i	0.970982	+	0.239152i	$0.0768695\pi$
$734$	−3.75785	−	6.50879i	−0.138705	−	0.240244i
$735$	−1.31647	−	7.46610i	−0.0485589	−	0.275391i
$736$	−3.47086	−	2.91240i	−0.127938	−	0.107352i
$737$	−15.9281	+	13.3652i	−0.586718	+	0.492315i
$738$	0.275286	−	1.56123i	0.0101334	−	0.0574696i
$739$	20.5324	−	7.47320i	0.755298	−	0.274906i	0.0644647	−	0.997920i	$-0.479466\pi$
$739$	20.5324	−	7.47320i	0.755298	−	0.274906i	0.690833	+	0.723014i	$0.257244\pi$
$740$	−19.1933			−0.705561
$741$	2.11324	−	5.24089i	0.0776317	−	0.192529i
$742$	−6.12638			−0.224907
$743$	−39.1855	+	14.2624i	−1.43758	+	0.523235i	−0.939093	−	0.343663i	$-0.888332\pi$
$743$	−39.1855	+	14.2624i	−1.43758	+	0.523235i	−0.498484	+	0.866899i	$0.666110\pi$
$744$	2.37951	−	13.4948i	0.0872369	−	0.494745i
$745$	−58.8765	+	49.4032i	−2.15707	+	1.81000i
$746$	−10.7874	−	9.05172i	−0.394956	−	0.331407i
$747$	−2.15862	−	12.2422i	−0.0789799	−	0.447917i
$748$	7.61635	+	13.1919i	0.278481	+	0.482344i
$749$	4.68707	−	8.11825i	0.171262	−	0.296634i
$750$	−20.5892	−	7.49385i	−0.751811	−	0.273637i
$751$	34.2093	+	12.4512i	1.24832	+	0.454350i	0.879832	−	0.475285i	$-0.157655\pi$
$751$	34.2093	+	12.4512i	1.24832	+	0.454350i	0.368483	+	0.929634i	$0.379877\pi$
$752$	−5.80080	+	10.0473i	−0.211533	+	0.366387i
$753$	−6.63013	−	11.4837i	−0.241615	−	0.418490i
$754$	−0.474438	−	2.69067i	−0.0172780	−	0.0979886i
$755$	−15.1823	−	12.7395i	−0.552541	−	0.463637i
$756$	2.49285	−	2.09175i	0.0906641	−	0.0760763i
$757$	0.865174	−	4.90664i	0.0314453	−	0.178335i	−0.965040	−	0.262102i	$-0.915584\pi$
$757$	0.865174	−	4.90664i	0.0314453	−	0.178335i	0.996485	+	0.0837674i	$0.0266953\pi$
$758$	6.07391	−	2.21072i	0.220614	−	0.0802971i
$759$	31.0272			1.12621
$760$	−0.535341	+	15.6405i	−0.0194189	+	0.567340i
$761$	16.1769			0.586412			0.293206	−	0.956049i	$-0.405278\pi$
$761$	16.1769			0.586412			0.293206	+	0.956049i	$0.405278\pi$
$762$	36.2511	−	13.1943i	1.31324	−	0.477980i
$763$	1.61159	−	9.13981i	0.0583436	−	0.330883i
$764$	−17.9353	+	15.0495i	−0.648877	+	0.544472i
$765$	18.8470	+	15.8145i	0.681415	+	0.571775i
$766$	3.21563	+	18.2367i	0.116185	+	0.658920i
$767$	0.887689	+	1.53752i	0.0320526	+	0.0555167i
$768$	−1.05581	+	1.82871i	−0.0380981	+	0.0659879i
$769$	−27.8501	−	10.1366i	−1.00430	−	0.365536i	−0.213059	−	0.977039i	$-0.568343\pi$
$769$	−27.8501	−	10.1366i	−1.00430	−	0.365536i	−0.791242	+	0.611503i	$0.790565\pi$
$770$	10.9410	+	3.98221i	0.394287	+	0.143509i
$771$	12.1375	−	21.0227i	0.437120	−	0.757115i
$772$	7.57884	+	13.1269i	0.272768	+	0.472449i
$773$	6.12767	+	34.7518i	0.220397	+	1.24993i	0.871292	+	0.490766i	$0.163283\pi$
$773$	6.12767	+	34.7518i	0.220397	+	1.24993i	−0.650894	+	0.759168i	$0.725606\pi$
$774$	−6.08084	−	5.10243i	−0.218571	−	0.183403i
$775$	−39.2227	+	32.9118i	−1.40892	+	1.18223i
$776$	−0.291357	+	1.65237i	−0.0104591	+	0.0593166i
$777$	10.6077	−	3.86090i	0.380550	−	0.138509i
$778$	37.2070			1.33393
$779$	4.01857	+	2.50721i	0.143980	+	0.0898303i
$780$	−4.65445			−0.166656
$781$	−35.2867	+	12.8433i	−1.26266	+	0.459570i
$782$	3.69561	−	20.9588i	0.132155	−	0.749486i
$783$	−11.0938	+	9.30879i	−0.396459	+	0.332669i
$784$	0.766044	+	0.642788i	0.0273587	+	0.0229567i
$785$	8.46874	+	48.0286i	0.302262	+	1.71421i
$786$	−8.54305	−	14.7970i	−0.304721	−	0.527791i
$787$	−24.0934	+	41.7310i	−0.858836	+	1.48755i	0.0142031	+	0.999899i	$0.495479\pi$
$787$	−24.0934	+	41.7310i	−0.858836	+	1.48755i	−0.873040	+	0.487649i	$0.837854\pi$
$788$	13.6940	+	4.98422i	0.487830	+	0.177556i
$789$	−8.02207	−	2.91979i	−0.285593	−	0.103947i
$790$	11.5486	−	20.0027i	0.410879	−	0.711664i
$791$	−4.33644	−	7.51094i	−0.154186	−	0.267058i
$792$	−0.821567	−	4.65934i	−0.0291931	−	0.165562i
$793$	−6.22068	−	5.21977i	−0.220903	−	0.185359i
$794$	−26.3409	+	22.1026i	−0.934802	+	0.784392i
$795$	8.06523	−	45.7402i	0.286044	−	1.62224i
$796$	−6.63328	+	2.41432i	−0.235110	+	0.0855732i
$797$	10.0767			0.356934			0.178467	−	0.983946i	$-0.442886\pi$
$797$	10.0767			0.356934			0.178467	+	0.983946i	$0.442886\pi$
$798$	−2.85034	−	8.75185i	−0.100901	−	0.309812i
$799$	−54.4942			−1.92787
$800$	7.41426	−	2.69857i	0.262134	−	0.0954088i
$801$	0.378200	−	2.14488i	0.0133630	−	0.0757855i
$802$	−18.9683	+	15.9163i	−0.669796	+	0.562025i
$803$	−40.5442	−	34.0206i	−1.43077	−	1.20056i
$804$	−2.35098	−	13.3331i	−0.0829128	−	0.470222i
$805$	−8.13357	−	14.0878i	−0.286671	−	0.496528i
$806$	−1.99204	+	3.45032i	−0.0701667	+	0.121532i
$807$	30.2606	+	11.0140i	1.06522	+	0.387710i
$808$	1.75586	+	0.639080i	0.0617709	+	0.0224828i
$809$	−18.8076	+	32.5757i	−0.661240	+	1.14530i	0.319050	+	0.947738i	$0.396636\pi$
$809$	−18.8076	+	32.5757i	−0.661240	+	1.14530i	−0.980290	+	0.197564i	$0.936697\pi$
$810$	20.1923	+	34.9740i	0.709484	+	1.22886i
$811$	−0.178679	−	1.01334i	−0.00627428	−	0.0355832i	0.981510	−	0.191411i	$-0.0613065\pi$
$811$	−0.178679	−	1.01334i	−0.00627428	−	0.0355832i	−0.987784	+	0.155828i	$0.950195\pi$
$812$	−3.40908	−	2.86056i	−0.119635	−	0.100386i
$813$	−28.9951	+	24.3298i	−1.01690	+	0.853282i
$814$	−3.01049	+	17.0733i	−0.105518	+	0.598420i
$815$	−21.3297	+	7.76336i	−0.747146	+	0.271939i
$816$	−9.91851			−0.347217
$817$	20.9331	−	11.1489i	0.732356	−	0.390051i
$818$	−8.46451			−0.295954
$819$	0.841668	−	0.306342i	0.0294102	−	0.0107045i
$820$	0.677461	−	3.84207i	0.0236580	−	0.134171i
$821$	−22.6874	+	19.0370i	−0.791797	+	0.664397i	−0.946190	−	0.323613i	$-0.895103\pi$
$821$	−22.6874	+	19.0370i	−0.791797	+	0.664397i	0.154392	+	0.988010i	$0.450658\pi$
$822$	−7.36783	−	6.18234i	−0.256983	−	0.215634i
$823$	−5.14938	−	29.2036i	−0.179496	−	1.01797i	−0.932825	−	0.360330i	$-0.882664\pi$
$823$	−5.14938	−	29.2036i	−0.179496	−	1.01797i	0.753329	−	0.657644i	$-0.228447\pi$
$824$	−10.0631	−	17.4299i	−0.350566	−	0.607198i
$825$	−27.0153	+	46.7919i	−0.940553	+	1.62909i
$826$	2.71738	+	0.989045i	0.0945497	+	0.0344133i
$827$	−5.62521	−	2.04741i	−0.195608	−	0.0711953i	0.242359	−	0.970187i	$-0.422079\pi$
$827$	−5.62521	−	2.04741i	−0.195608	−	0.0711953i	−0.437966	+	0.898991i	$0.644301\pi$
$828$	−3.30508	+	5.72456i	−0.114859	+	0.198942i
$829$	−1.98660	−	3.44090i	−0.0689976	−	0.119507i	0.829463	−	0.558562i	$-0.188647\pi$
$829$	−1.98660	−	3.44090i	−0.0689976	−	0.119507i	−0.898460	+	0.439055i	$0.855313\pi$
$830$	−5.31222	−	30.1271i	−0.184390	−	1.04573i
$831$	−5.79369	−	4.86148i	−0.200981	−	0.168643i
$832$	0.470306	−	0.394634i	0.0163049	−	0.0136815i
$833$	−0.815648	+	4.62577i	−0.0282605	+	0.160273i
$834$	−43.0476	+	15.6681i	−1.49062	+	0.542540i
$835$	50.9781			1.76417
$836$	13.8290	+	2.92943i	0.478284	+	0.101317i
$837$	21.1176			0.729931
$838$	−10.3086	+	3.75203i	−0.356105	+	0.129612i
$839$	7.66351	−	43.4619i	0.264574	−	1.50047i	−0.505672	−	0.862726i	$-0.668755\pi$
$839$	7.66351	−	43.4619i	0.264574	−	1.50047i	0.770246	−	0.637747i	$-0.220133\pi$
$840$	−5.80759	+	4.87315i	−0.200381	+	0.168140i
$841$	−7.04408	−	5.91068i	−0.242899	−	0.203817i
$842$	−5.57817	−	31.6354i	−0.192237	−	1.09023i
$843$	7.48734	+	12.9685i	0.257878	+	0.446657i
$844$	2.84779	−	4.93251i	0.0980249	−	0.169784i
$845$	−42.5872	−	15.5005i	−1.46504	−	0.533232i
$846$	15.9049	+	5.78892i	0.546823	+	0.199027i
$847$	−0.241539	+	0.418358i	−0.00829938	+	0.0143749i
$848$	3.06319	+	5.30560i	0.105190	+	0.182195i
$849$	−5.16314	−	29.2816i	−0.177199	−	1.00494i
$850$	28.3902	+	23.8222i	0.973775	+	0.817094i
$851$	18.5550	−	15.5695i	0.636056	−	0.533714i
$852$	4.24586	−	24.0795i	0.145461	−	0.824948i
$853$	−1.65977	+	0.604108i	−0.0568295	+	0.0206843i	−0.370279	−	0.928921i	$-0.620738\pi$
$853$	−1.65977	+	0.604108i	−0.0568295	+	0.0206843i	0.313449	+	0.949605i	$0.398516\pi$
$854$	−13.2269			−0.452614
$855$	22.6070	−	3.19317i	0.773144	−	0.109204i
$856$	−9.37414			−0.320402
$857$	40.2981	−	14.6673i	1.37656	−	0.501026i	0.455425	−	0.890274i	$-0.349487\pi$
$857$	40.2981	−	14.6673i	1.37656	−	0.501026i	0.921133	+	0.389248i	$0.127265\pi$
$858$	−0.730055	+	4.14035i	−0.0249237	+	0.141349i
$859$	2.96350	−	2.48667i	0.101113	−	0.0848442i	−0.590830	−	0.806796i	$-0.701199\pi$
$859$	2.96350	−	2.48667i	0.101113	−	0.0848442i	0.691943	+	0.721952i	$0.256755\pi$
$860$	−14.9645	−	12.5567i	−0.510286	−	0.428181i
$861$	0.398447	+	2.25971i	0.0135790	+	0.0770106i
$862$	−3.63274	−	6.29208i	−0.123732	−	0.214309i
$863$	−16.3629	+	28.3414i	−0.557001	+	0.964754i	0.440744	+	0.897633i	$0.354715\pi$
$863$	−16.3629	+	28.3414i	−0.557001	+	0.964754i	−0.997745	+	0.0671211i	$0.978619\pi$
$864$	−3.05794	−	1.11300i	−0.104033	−	0.0378649i
$865$	24.9189	+	9.06972i	0.847266	+	0.308380i
$866$	9.11535	−	15.7882i	0.309752	−	0.536506i
$867$	−5.34555	−	9.25876i	−0.181544	−	0.314444i
$868$	1.12687	+	6.39078i	0.0382483	+	0.216917i
$869$	−15.9819	−	13.4104i	−0.542149	−	0.454917i
$870$	25.8452	−	21.6867i	0.876233	−	0.735247i
$871$	−0.683537	+	3.87653i	−0.0231608	+	0.131351i
$872$	−8.72110	+	3.17422i	−0.295334	+	0.107493i
$873$	2.44784			0.0828470
$874$	−12.1699	−	15.5545i	−0.411653	−	0.526140i
$875$	10.3762			0.350780
$876$	32.3840	−	11.7868i	1.09415	−	0.398239i
$877$	−2.02386	+	11.4779i	−0.0683407	+	0.387580i	0.931382	+	0.364043i	$0.118604\pi$
$877$	−2.02386	+	11.4779i	−0.0683407	+	0.387580i	−0.999723	+	0.0235368i	$0.992507\pi$
$878$	24.9275	−	20.9167i	0.841264	−	0.705904i
$879$	37.0363	+	31.0771i	1.24920	+	1.04821i
$880$	−2.02182	−	11.4663i	−0.0681555	−	0.386529i
$881$	−26.4775	−	45.8604i	−0.892050	−	1.54508i	−0.837414	−	0.546569i	$-0.815933\pi$
$881$	−26.4775	−	45.8604i	−0.892050	−	1.54508i	−0.0546360	−	0.998506i	$-0.517400\pi$
$882$	0.729455	−	1.26345i	0.0245620	−	0.0425427i
$883$	0.788117	+	0.286851i	0.0265222	+	0.00965330i	0.355247	−	0.934772i	$-0.384397\pi$
$883$	0.788117	+	0.286851i	0.0265222	+	0.00965330i	−0.328725	+	0.944426i	$0.606619\pi$
$884$	2.70985	+	0.986303i	0.0911420	+	0.0331730i
$885$	−10.9617	+	18.9862i	−0.368472	+	0.638213i
$886$	−0.00945904	−	0.0163835i	−0.000317783	−	0.000550415i
$887$	8.38809	+	47.5712i	0.281645	+	1.59729i	0.717031	+	0.697042i	$0.245501\pi$
$887$	8.38809	+	47.5712i	0.281645	+	1.59729i	−0.435386	+	0.900244i	$0.643388\pi$
$888$	−8.64750	−	7.25612i	−0.290191	−	0.243499i
$889$	−13.9951	+	11.7433i	−0.469379	+	0.393856i
$890$	0.930724	−	5.27840i	0.0311979	−	0.176932i
$891$	34.2782	−	12.4762i	1.14836	−	0.417969i
$892$	18.5836			0.622226
$893$	−33.8120	+	37.6044i	−1.13148	+	1.25838i
$894$	−45.2037			−1.51184
$895$	−21.5207	+	7.83290i	−0.719358	+	0.261825i
$896$	0.173648	−	0.984808i	0.00580118	−	0.0329001i
$897$	4.49964	−	3.77565i	0.150239	−	0.126065i
$898$	−3.72056	−	3.12192i	−0.124157	−	0.104180i
$899$	−5.01482	−	28.4405i	−0.167254	−	0.948543i
$900$	−5.75546	−	9.96875i	−0.191849	−	0.332292i
$901$	−14.3882	+	24.9211i	−0.479340	+	0.830242i
$902$	−3.31144	−	1.20526i	−0.110259	−	0.0401309i
$903$	10.7965	+	3.92959i	0.359284	+	0.130769i
$904$	−4.33644	+	7.51094i	−0.144228	+	0.249810i
$905$	39.9833	+	69.2532i	1.32909	+	2.30205i
$906$	−2.02414	−	11.4795i	−0.0672476	−	0.381380i
$907$	−30.5235	−	25.6123i	−1.01352	−	0.850442i	−0.0247179	−	0.999694i	$-0.507869\pi$
$907$	−30.5235	−	25.6123i	−1.01352	−	0.850442i	−0.988799	+	0.149253i	$0.952313\pi$
$908$	0.404037	−	0.339027i	0.0134084	−	0.0112510i
$909$	0.473371	−	2.68462i	0.0157007	−	0.0890433i
$910$	2.07129	−	0.753887i	0.0686625	−	0.0249911i
$911$	33.9742			1.12562			0.562808	−	0.826587i	$-0.309721\pi$
$911$	33.9742			1.12562			0.562808	+	0.826587i	$0.309721\pi$
$912$	−6.15415	+	6.84439i	−0.203784	+	0.226641i
$913$	−27.6326			−0.914507
$914$	28.4578	−	10.3578i	0.941300	−	0.342605i
$915$	17.4128	−	98.7531i	0.575651	−	3.26468i
$916$	−9.13971	+	7.66913i	−0.301985	+	0.253395i
$917$	6.19844	+	5.20111i	0.204691	+	0.171756i
$918$	−2.65427	−	15.0531i	−0.0876040	−	0.496827i
$919$	−11.8965	−	20.6053i	−0.392429	−	0.679707i	0.600340	−	0.799745i	$-0.295032\pi$
$919$	−11.8965	−	20.6053i	−0.392429	−	0.679707i	−0.992769	+	0.120038i	$0.961698\pi$
$920$	−8.13357	+	14.0878i	−0.268156	+	0.464460i
$921$	65.0953	+	23.6928i	2.14496	+	0.780703i
$922$	19.3979	+	7.06026i	0.638836	+	0.232517i
$923$	−3.55449	+	6.15656i	−0.116997	+	0.202646i
$924$	3.42396	+	5.93047i	0.112640	+	0.195098i
$925$	7.32444	+	41.5390i	0.240826	+	1.36579i
$926$	−16.6334	−	13.9571i	−0.546609	−	0.458659i
$927$	−22.4929	+	18.8738i	−0.738764	+	0.619896i
$928$	−0.772776	+	4.38263i	−0.0253676	+	0.143867i
$929$	6.48943	−	2.36196i	0.212911	−	0.0774934i	−0.233363	−	0.972390i	$-0.574973\pi$
$929$	6.48943	−	2.36196i	0.212911	−	0.0774934i	0.446274	+	0.894896i	$0.352751\pi$
$930$	−49.1977			−1.61326
$931$	2.68598	+	3.43300i	0.0880295	+	0.112512i
$932$	−6.00187			−0.196598
$933$	−27.1780	+	9.89198i	−0.889768	+	0.323849i
$934$	−3.29082	+	18.6632i	−0.107679	+	0.610678i
$935$	41.8946	−	35.1538i	1.37010	−	1.14965i
$936$	−0.686134	−	0.575735i	−0.0224270	−	0.0188185i
$937$	0.115264	+	0.653694i	0.00376551	+	0.0213553i	0.986633	−	0.162960i	$-0.0521043\pi$
$937$	0.115264	+	0.653694i	0.00376551	+	0.0213553i	−0.982867	+	0.184316i	$0.940993\pi$
$938$	3.20579	+	5.55259i	0.104673	+	0.181299i
$939$	−8.32870	+	14.4257i	−0.271797	+	0.470766i
$940$	39.1410	+	14.2461i	1.27664	+	0.464658i
$941$	−1.85734	−	0.676017i	−0.0605476	−	0.0220375i	0.311569	−	0.950224i	$-0.399146\pi$
$941$	−1.85734	−	0.676017i	−0.0605476	−	0.0220375i	−0.372116	+	0.928186i	$0.621368\pi$
$942$	−14.3418	+	24.8408i	−0.467282	+	0.809357i
$943$	2.46173	+	4.26384i	0.0801648	+	0.138850i
$944$	−0.502151	−	2.84784i	−0.0163436	−	0.0926894i
$945$	−8.95003	−	7.50997i	−0.291144	−	0.244299i
$946$	−13.5170	+	11.3421i	−0.439475	+	0.368763i
$947$	7.31550	−	41.4883i	0.237722	−	1.34819i	−0.599083	−	0.800687i	$-0.704468\pi$
$947$	7.31550	−	41.4883i	0.237722	−	1.34819i	0.836805	−	0.547501i	$-0.184421\pi$
$948$	12.7653	−	4.64618i	0.414597	−	0.150901i
$949$	−10.0197			−0.325255
$950$	34.0541	−	4.81002i	1.10486	−	0.156058i
$951$	59.1599			1.91839
$952$	4.41386	−	1.60651i	0.143054	−	0.0520674i
$953$	8.77404	−	49.7600i	0.284219	−	1.61189i	−0.423843	−	0.905736i	$-0.639319\pi$
$953$	8.77404	−	49.7600i	0.284219	−	1.61189i	0.708062	−	0.706150i	$-0.249570\pi$
$954$	6.84678	−	5.74513i	0.221673	−	0.186005i
$955$	64.3927	+	54.0319i	2.08370	+	1.74843i
$956$	−3.86255	−	21.9056i	−0.124924	−	0.708478i
$957$	−15.2374	−	26.3920i	−0.492556	−	0.853132i
$958$	10.1736	−	17.6212i	0.328695	−	0.569317i
$959$	4.28013	+	1.55784i	0.138213	+	0.0503053i
$960$	7.12407	+	2.59295i	0.229928	+	0.0836871i
$961$	−5.55593	+	9.62316i	−0.179224	+	0.310425i
$962$	1.64104	+	2.84236i	0.0529092	+	0.0916415i
$963$	2.37482	+	13.4683i	0.0765274	+	0.434008i
$964$	15.1728	+	12.7315i	0.488684	+	0.410054i
$965$	41.6883	−	34.9807i	1.34200	−	1.12607i
$966$	1.66138	−	9.42213i	0.0534539	−	0.303152i
$967$	36.4784	−	13.2771i	1.17307	−	0.426962i	0.319319	−	0.947647i	$-0.396546\pi$
$967$	36.4784	−	13.2771i	1.17307	−	0.426962i	0.853749	+	0.520686i	$0.174324\pi$
$968$	0.483078			0.0155267
$969$	−42.2952	−	8.95954i	−1.35872	−	0.287822i
$970$	6.02398			0.193418
$971$	−1.70183	+	0.619416i	−0.0546143	+	0.0198780i	−0.369183	−	0.929357i	$-0.620362\pi$
$971$	−1.70183	+	0.619416i	−0.0546143	+	0.0198780i	0.314569	+	0.949235i	$0.398140\pi$
$972$	−2.42925	+	13.7770i	−0.0779184	+	0.441897i
$973$	16.6189	−	13.9449i	0.532778	−	0.447054i
$974$	−0.445945	−	0.374192i	−0.0142890	−	0.0119899i
$975$	1.77620	+	10.0734i	0.0568841	+	0.322606i
$976$	6.61344	+	11.4548i	0.211691	+	0.366659i
$977$	9.59698	−	16.6225i	0.307035	−	0.531799i	−0.670678	−	0.741749i	$-0.733997\pi$
$977$	9.59698	−	16.6225i	0.307035	−	0.531799i	0.977712	+	0.209950i	$0.0673300\pi$
$978$	−12.5450	−	4.56600i	−0.401145	−	0.146005i
$979$	−4.54939	−	1.65584i	−0.145399	−	0.0529209i
$980$	1.79514	−	3.10927i	0.0573436	−	0.0993220i
$981$	6.76992	+	11.7259i	0.216147	+	0.374378i
$982$	5.82789	+	33.0516i	0.185975	+	1.05472i
$983$	3.21683	+	2.69924i	0.102601	+	0.0860924i	0.692645	−	0.721279i	$-0.256445\pi$
$983$	3.21683	+	2.69924i	0.102601	+	0.0860924i	−0.590044	+	0.807371i	$0.700890\pi$
$984$	1.75774	−	1.47492i	0.0560347	−	0.0470187i
$985$	9.08540	−	51.5259i	0.289485	−	1.64175i
$986$	−19.6427	+	7.14936i	−0.625551	+	0.227682i
$987$	−24.4981			−0.779783
$988$	2.36199	−	1.25799i	0.0751450	−	0.0400220i
$989$	24.6527			0.783911
$990$	−15.9620	+	5.80968i	−0.507305	+	0.184644i
$991$	1.58591	−	8.99417i	0.0503782	−	0.285709i	−0.949202	−	0.314666i	$-0.898107\pi$
$991$	1.58591	−	8.99417i	0.0503782	−	0.285709i	0.999581	+	0.0289570i	$0.00921858\pi$
$992$	4.97114	−	4.17128i	0.157834	−	0.132438i
$993$	−22.0803	−	18.5275i	−0.700696	−	0.587954i
$994$	2.01072	+	11.4033i	0.0637761	+	0.361692i
$995$	12.6719	+	21.9483i	0.401725	+	0.695808i
$996$	8.99627	−	15.5820i	0.285058	−	0.493734i
$997$	21.8819	+	7.96436i	0.693007	+	0.252234i	0.664422	−	0.747358i	$-0.268678\pi$
$997$	21.8819	+	7.96436i	0.693007	+	0.252234i	0.0285847	+	0.999591i	$0.490900\pi$
$998$	−7.24978	−	2.63870i	−0.229488	−	0.0835267i
$999$	8.69831	−	15.0659i	0.275202	−	0.476665i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	266.2.u.b.43.2	✓	12
19.2	odd	18		5054.2.a.bc.1.2		6
19.4	even	9	inner	266.2.u.b.99.2	yes	12
19.17	even	9		5054.2.a.bb.1.5		6

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
266.2.u.b.43.2	✓	12	1.1	even	1	trivial
266.2.u.b.99.2	yes	12	19.4	even	9	inner
5054.2.a.bb.1.5		6	19.17	even	9
5054.2.a.bc.1.2		6	19.2	odd	18

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 266 = 2 \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	266.u (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.939693 - 0.342020i) q^{2} +(0.366678 - 2.07953i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-2.75031 - 2.30779i) q^{5} +(-0.366678 - 2.07953i) q^{6} +(0.500000 + 0.866025i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-1.37093 - 0.498976i) q^{9} +O(q^{10})\)	\(q+(0.939693 - 0.342020i) q^{2} +(0.366678 - 2.07953i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-2.75031 - 2.30779i) q^{5} +(-0.366678 - 2.07953i) q^{6} +(0.500000 + 0.866025i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-1.37093 - 0.498976i) q^{9} +(-3.37376 - 1.22795i) q^{10} +(-1.62149 + 2.80850i) q^{11} +(-1.05581 - 1.82871i) q^{12} +(0.106610 + 0.604614i) q^{13} +(0.766044 + 0.642788i) q^{14} +(-5.80759 + 4.87315i) q^{15} +(0.173648 - 0.984808i) q^{16} +(4.41386 - 1.60651i) q^{17} -1.45891 q^{18} +(1.63007 - 4.04263i) q^{19} -3.59028 q^{20} +(1.98427 - 0.722214i) q^{21} +(-0.563138 + 3.19371i) q^{22} +(3.47086 - 2.91240i) q^{23} +(-1.61759 - 1.35732i) q^{24} +(1.37010 + 7.77022i) q^{25} +(0.306970 + 0.531688i) q^{26} +(1.62709 - 2.81821i) q^{27} +(0.939693 + 0.342020i) q^{28} +(-4.18185 - 1.52207i) q^{29} +(-3.79064 + 6.56558i) q^{30} +(3.24468 + 5.61996i) q^{31} +(-0.173648 - 0.984808i) q^{32} +(5.24581 + 4.40176i) q^{33} +(3.59821 - 3.01925i) q^{34} +(0.623445 - 3.53573i) q^{35} +(-1.37093 + 0.498976i) q^{36} +5.34592 q^{37} +(0.149109 - 4.35635i) q^{38} +1.29641 q^{39} +(-3.37376 + 1.22795i) q^{40} +(-0.188693 + 1.07013i) q^{41} +(1.61759 - 1.35732i) q^{42} +(4.16807 + 3.49743i) q^{43} +(0.563138 + 3.19371i) q^{44} +(2.61894 + 4.53614i) q^{45} +(2.26544 - 3.92386i) q^{46} +(-10.9019 - 3.96798i) q^{47} +(-1.98427 - 0.722214i) q^{48} +(-0.500000 + 0.866025i) q^{49} +(3.94504 + 6.83302i) q^{50} +(-1.72233 - 9.76783i) q^{51} +(0.470306 + 0.394634i) q^{52} +(-4.69308 + 3.93796i) q^{53} +(0.565084 - 3.20475i) q^{54} +(10.9410 - 3.98221i) q^{55} +1.00000 q^{56} +(-7.80907 - 4.87214i) q^{57} -4.45024 q^{58} +(2.71738 - 0.989045i) q^{59} +(-1.31647 + 7.46610i) q^{60} +(-10.1324 + 8.50207i) q^{61} +(4.97114 + 4.17128i) q^{62} +(-0.253337 - 1.43675i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(1.10211 - 1.90891i) q^{65} +(6.43494 + 2.34213i) q^{66} +(6.02492 + 2.19289i) q^{67} +(2.34856 - 4.06783i) q^{68} +(-4.78374 - 8.28568i) q^{69} +(-0.623445 - 3.53573i) q^{70} +(8.87023 + 7.44301i) q^{71} +(-1.11759 + 0.937769i) q^{72} +(-2.83400 + 16.0724i) q^{73} +(5.02352 - 1.82841i) q^{74} +16.6608 q^{75} +(-1.34984 - 4.14463i) q^{76} -3.24298 q^{77} +(1.21822 - 0.443397i) q^{78} +(-1.11712 + 6.33551i) q^{79} +(-2.75031 + 2.30779i) q^{80} +(-8.61671 - 7.23028i) q^{81} +(0.188693 + 1.07013i) q^{82} +(4.26038 + 7.37919i) q^{83} +(1.05581 - 1.82871i) q^{84} +(-15.8470 - 5.76782i) q^{85} +(5.11290 + 1.86094i) q^{86} +(-4.69859 + 8.13819i) q^{87} +(1.62149 + 2.80850i) q^{88} +(0.259235 + 1.47019i) q^{89} +(4.01246 + 3.36685i) q^{90} +(-0.470306 + 0.394634i) q^{91} +(0.786781 - 4.46205i) q^{92} +(12.8766 - 4.68671i) q^{93} -11.6016 q^{94} +(-13.8127 + 7.35663i) q^{95} -2.11161 q^{96} +(-1.57667 + 0.573862i) q^{97} +(-0.173648 + 0.984808i) q^{98} +(3.62432 - 3.04117i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q + 6 q^{7} + 6 q^{8} - 6 q^{9}+O(q^{10}) \) 12 * q + 6 * q^7 + 6 * q^8 - 6 * q^9	\( 12 q + 6 q^{7} + 6 q^{8} - 6 q^{9} - 9 q^{10} - 3 q^{11} - 3 q^{12} + 6 q^{13} - 6 q^{15} + 3 q^{17} + 6 q^{18} + 6 q^{19} - 6 q^{20} + 3 q^{22} + 18 q^{23} - 24 q^{25} + 6 q^{26} - 3 q^{27} - 9 q^{29} - 6 q^{30} - 3 q^{31} + 9 q^{33} + 24 q^{34} + 9 q^{35} - 6 q^{36} - 6 q^{37} - 3 q^{38} - 18 q^{39} - 9 q^{40} + 9 q^{41} + 6 q^{43} - 3 q^{44} + 12 q^{45} - 45 q^{47} - 6 q^{49} + 3 q^{50} - 3 q^{51} - 3 q^{52} + 15 q^{53} - 18 q^{54} + 3 q^{55} + 12 q^{56} - 9 q^{57} - 12 q^{58} + 6 q^{59} - 15 q^{60} - 18 q^{61} + 15 q^{62} - 12 q^{63} - 6 q^{64} - 3 q^{65} + 18 q^{66} + 18 q^{67} + 9 q^{68} - 24 q^{69} - 9 q^{70} + 15 q^{71} + 6 q^{72} + 39 q^{73} + 6 q^{74} + 66 q^{75} - 15 q^{76} - 6 q^{77} - 24 q^{79} + 12 q^{81} - 9 q^{82} + 33 q^{83} + 3 q^{84} - 78 q^{85} - 6 q^{86} - 15 q^{87} + 3 q^{88} + 30 q^{89} + 3 q^{90} + 3 q^{91} + 33 q^{93} - 18 q^{94} - 75 q^{95} - 6 q^{96} - 21 q^{97} + 6 q^{99}+O(q^{100}) \) 12 * q + 6 * q^7 + 6 * q^8 - 6 * q^9 - 9 * q^10 - 3 * q^11 - 3 * q^12 + 6 * q^13 - 6 * q^15 + 3 * q^17 + 6 * q^18 + 6 * q^19 - 6 * q^20 + 3 * q^22 + 18 * q^23 - 24 * q^25 + 6 * q^26 - 3 * q^27 - 9 * q^29 - 6 * q^30 - 3 * q^31 + 9 * q^33 + 24 * q^34 + 9 * q^35 - 6 * q^36 - 6 * q^37 - 3 * q^38 - 18 * q^39 - 9 * q^40 + 9 * q^41 + 6 * q^43 - 3 * q^44 + 12 * q^45 - 45 * q^47 - 6 * q^49 + 3 * q^50 - 3 * q^51 - 3 * q^52 + 15 * q^53 - 18 * q^54 + 3 * q^55 + 12 * q^56 - 9 * q^57 - 12 * q^58 + 6 * q^59 - 15 * q^60 - 18 * q^61 + 15 * q^62 - 12 * q^63 - 6 * q^64 - 3 * q^65 + 18 * q^66 + 18 * q^67 + 9 * q^68 - 24 * q^69 - 9 * q^70 + 15 * q^71 + 6 * q^72 + 39 * q^73 + 6 * q^74 + 66 * q^75 - 15 * q^76 - 6 * q^77 - 24 * q^79 + 12 * q^81 - 9 * q^82 + 33 * q^83 + 3 * q^84 - 78 * q^85 - 6 * q^86 - 15 * q^87 + 3 * q^88 + 30 * q^89 + 3 * q^90 + 3 * q^91 + 33 * q^93 - 18 * q^94 - 75 * q^95 - 6 * q^96 - 21 * q^97 + 6 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more