LMFDB - Embedded newform 430.2.k.c.41.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [430,2,Mod(11,430)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(430, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 10]))

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

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

chi := DirichletCharacter("430.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 430 = 2 \cdot 5 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	430.k (of order $7$, 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:	$3.43356728692$
Analytic rank:	$0$
Dimension:	$18$
Relative dimension:	$3$ over $\Q(\zeta_{7})$
Coefficient field:	$\mathbb{Q}[x]/(x^{18} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{18} - 5 x^{17} + 20 x^{16} - 61 x^{15} + 142 x^{14} - 195 x^{13} + 244 x^{12} + 320 x^{11} + \cdots + 49 $ x^18 - 5x^17 + 20x^16 - 61x^15 + 142x^14 - 195x^13 + 244x^12 + 320x^11 + 64x^10 - 562x^9 + 4114x^8 - 1933x^7 + 2941x^6 - 2555x^5 + 2807x^4 - 2366x^3 + 1225x^2 - 343*x + 49
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			41.2
Root			$0.403095 + 0.194120i$ of defining polynomial
Character	$\chi$	$=$	430.41
Dual form			430.2.k.c.21.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.900969 - 0.433884i) q^{2} +(0.403095 + 0.194120i) q^{3} +(0.623490 - 0.781831i) q^{4} +(-0.222521 + 0.974928i) q^{5} +0.447401 q^{6} +2.78084 q^{7} +(0.222521 - 0.974928i) q^{8} +(-1.74567 - 2.18900i) q^{9} +O(q^{10})$	\(q+(0.900969 - 0.433884i) q^{2} +(0.403095 + 0.194120i) q^{3} +(0.623490 - 0.781831i) q^{4} +(-0.222521 + 0.974928i) q^{5} +0.447401 q^{6} +2.78084 q^{7} +(0.222521 - 0.974928i) q^{8} +(-1.74567 - 2.18900i) q^{9} +(0.222521 + 0.974928i) q^{10} +(3.02587 + 3.79432i) q^{11} +(0.403095 - 0.194120i) q^{12} +(0.482138 - 2.11238i) q^{13} +(2.50545 - 1.20656i) q^{14} +(-0.278950 + 0.349792i) q^{15} +(-0.222521 - 0.974928i) q^{16} +(0.129842 + 0.568875i) q^{17} +(-2.52256 - 1.21480i) q^{18} +(0.315686 - 0.395858i) q^{19} +(0.623490 + 0.781831i) q^{20} +(1.12094 + 0.539817i) q^{21} +(4.37250 + 2.10569i) q^{22} +(1.20724 + 1.51383i) q^{23} +(0.278950 - 0.349792i) q^{24} +(-0.900969 - 0.433884i) q^{25} +(-0.482138 - 2.11238i) q^{26} +(-0.577409 - 2.52979i) q^{27} +(1.73382 - 2.17415i) q^{28} +(2.41037 - 1.16077i) q^{29} +(-0.0995561 + 0.436184i) q^{30} +(-2.05904 + 0.991583i) q^{31} +(-0.623490 - 0.781831i) q^{32} +(0.483157 + 2.11685i) q^{33} +(0.363809 + 0.456202i) q^{34} +(-0.618795 + 2.71112i) q^{35} -2.79983 q^{36} -4.50515 q^{37} +(0.112667 - 0.493627i) q^{38} +(0.604403 - 0.757897i) q^{39} +(0.900969 + 0.433884i) q^{40} +(-3.01056 + 1.44981i) q^{41} +1.24415 q^{42} +(-3.73005 - 5.39321i) q^{43} +4.85311 q^{44} +(2.52256 - 1.21480i) q^{45} +(1.74451 + 0.840113i) q^{46} +(-3.13028 + 3.92525i) q^{47} +(0.0995561 - 0.436184i) q^{48} +0.733062 q^{49} -1.00000 q^{50} +(-0.0580915 + 0.254515i) q^{51} +(-1.35092 - 1.69400i) q^{52} +(1.64933 + 7.22619i) q^{53} +(-1.61786 - 2.02874i) q^{54} +(-4.37250 + 2.10569i) q^{55} +(0.618795 - 2.71112i) q^{56} +(0.204095 - 0.0982871i) q^{57} +(1.66803 - 2.09164i) q^{58} +(-2.67427 - 11.7167i) q^{59} +(0.0995561 + 0.436184i) q^{60} +(-7.37547 - 3.55184i) q^{61} +(-1.42490 + 1.78677i) q^{62} +(-4.85442 - 6.08725i) q^{63} +(-0.900969 - 0.433884i) q^{64} +(1.95214 + 0.940099i) q^{65} +(1.35378 + 1.69758i) q^{66} +(-4.32072 + 5.41801i) q^{67} +(0.525720 + 0.253173i) q^{68} +(0.192767 + 0.844567i) q^{69} +(0.618795 + 2.71112i) q^{70} +(-0.495228 + 0.620997i) q^{71} +(-2.52256 + 1.21480i) q^{72} +(-2.26798 + 9.93666i) q^{73} +(-4.05900 + 1.95471i) q^{74} +(-0.278950 - 0.349792i) q^{75} +(-0.112667 - 0.493627i) q^{76} +(8.41445 + 10.5514i) q^{77} +(0.215709 - 0.945083i) q^{78} -8.10477 q^{79} +1.00000 q^{80} +(-1.61073 + 7.05707i) q^{81} +(-2.08337 + 2.61246i) q^{82} +(2.29203 + 1.10378i) q^{83} +(1.12094 - 0.539817i) q^{84} -0.583505 q^{85} +(-5.70068 - 3.24071i) q^{86} +1.19693 q^{87} +(4.37250 - 2.10569i) q^{88} +(-1.65843 - 0.798657i) q^{89} +(1.74567 - 2.18900i) q^{90} +(1.34075 - 5.87419i) q^{91} +1.93626 q^{92} -1.02248 q^{93} +(-1.11718 + 4.89470i) q^{94} +(0.315686 + 0.395858i) q^{95} +(-0.0995561 - 0.436184i) q^{96} +(7.43806 + 9.32703i) q^{97} +(0.660466 - 0.318063i) q^{98} +(3.02359 - 13.2472i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 18 q + 3 q^{2} + 5 q^{3} - 3 q^{4} - 3 q^{5} + 2 q^{6} + 8 q^{7} + 3 q^{8} - 6 q^{9}+O(q^{10}) $ 18 * q + 3 * q^2 + 5 * q^3 - 3 * q^4 - 3 * q^5 + 2 * q^6 + 8 * q^7 + 3 * q^8 - 6 * q^9	\( 18 q + 3 q^{2} + 5 q^{3} - 3 q^{4} - 3 q^{5} + 2 q^{6} + 8 q^{7} + 3 q^{8} - 6 q^{9} + 3 q^{10} + 5 q^{11} + 5 q^{12} + 22 q^{13} - 8 q^{14} - 2 q^{15} - 3 q^{16} + q^{17} + 13 q^{18} - 7 q^{19} - 3 q^{20} + 10 q^{21} - 5 q^{22} + 8 q^{23} + 2 q^{24} - 3 q^{25} - 22 q^{26} + 20 q^{27} + q^{28} - 6 q^{29} + 2 q^{30} - 5 q^{31} + 3 q^{32} + 39 q^{33} - q^{34} - 13 q^{35} + 8 q^{36} - 18 q^{37} - 7 q^{39} + 3 q^{40} + 16 q^{41} + 4 q^{42} - 13 q^{43} - 2 q^{44} - 13 q^{45} - 8 q^{46} - 36 q^{47} - 2 q^{48} - 14 q^{49} - 18 q^{50} - 30 q^{51} - 20 q^{52} - 18 q^{53} + 29 q^{54} + 5 q^{55} + 13 q^{56} + 29 q^{57} - 8 q^{58} - 4 q^{59} - 2 q^{60} + 42 q^{61} - 2 q^{62} - 29 q^{63} - 3 q^{64} + 8 q^{65} + 24 q^{66} - 19 q^{67} + q^{68} - 51 q^{69} + 13 q^{70} - 27 q^{71} + 13 q^{72} + 28 q^{73} + 4 q^{74} - 2 q^{75} + 42 q^{77} - 35 q^{78} - 26 q^{79} + 18 q^{80} - 4 q^{81} + 19 q^{82} + 62 q^{83} + 10 q^{84} - 6 q^{85} - 15 q^{86} - 66 q^{87} - 5 q^{88} - 12 q^{89} + 6 q^{90} - 22 q^{91} - 20 q^{92} - 6 q^{93} - 6 q^{94} - 7 q^{95} + 2 q^{96} + 71 q^{97} - 28 q^{98} + 59 q^{99}+O(q^{100}) \) 18 * q + 3 * q^2 + 5 * q^3 - 3 * q^4 - 3 * q^5 + 2 * q^6 + 8 * q^7 + 3 * q^8 - 6 * q^9 + 3 * q^10 + 5 * q^11 + 5 * q^12 + 22 * q^13 - 8 * q^14 - 2 * q^15 - 3 * q^16 + q^17 + 13 * q^18 - 7 * q^19 - 3 * q^20 + 10 * q^21 - 5 * q^22 + 8 * q^23 + 2 * q^24 - 3 * q^25 - 22 * q^26 + 20 * q^27 + q^28 - 6 * q^29 + 2 * q^30 - 5 * q^31 + 3 * q^32 + 39 * q^33 - q^34 - 13 * q^35 + 8 * q^36 - 18 * q^37 - 7 * q^39 + 3 * q^40 + 16 * q^41 + 4 * q^42 - 13 * q^43 - 2 * q^44 - 13 * q^45 - 8 * q^46 - 36 * q^47 - 2 * q^48 - 14 * q^49 - 18 * q^50 - 30 * q^51 - 20 * q^52 - 18 * q^53 + 29 * q^54 + 5 * q^55 + 13 * q^56 + 29 * q^57 - 8 * q^58 - 4 * q^59 - 2 * q^60 + 42 * q^61 - 2 * q^62 - 29 * q^63 - 3 * q^64 + 8 * q^65 + 24 * q^66 - 19 * q^67 + q^68 - 51 * q^69 + 13 * q^70 - 27 * q^71 + 13 * q^72 + 28 * q^73 + 4 * q^74 - 2 * q^75 + 42 * q^77 - 35 * q^78 - 26 * q^79 + 18 * q^80 - 4 * q^81 + 19 * q^82 + 62 * q^83 + 10 * q^84 - 6 * q^85 - 15 * q^86 - 66 * q^87 - 5 * q^88 - 12 * q^89 + 6 * q^90 - 22 * q^91 - 20 * q^92 - 6 * q^93 - 6 * q^94 - 7 * q^95 + 2 * q^96 + 71 * q^97 - 28 * q^98 + 59 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/430\mathbb{Z}\right)^\times$.

$n$	$87$	$261$
$\chi(n)$	$1$	$e\left(\frac{1}{7}\right)$

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 $

$2$	0.900969	−	0.433884i	0.637081	−	0.306802i
$2$	0.900969	−	0.433884i	0.637081	−	0.306802i
$3$	0.403095	+	0.194120i	0.232727	+	0.112075i	0.546613	−	0.837385i	$-0.315917\pi$
$3$	0.403095	+	0.194120i	0.232727	+	0.112075i	−0.313886	+	0.949461i	$0.601631\pi$
$4$	0.623490	−	0.781831i	0.311745	−	0.390916i
$5$	−0.222521	+	0.974928i	−0.0995144	+	0.436001i
$5$	−0.222521	+	0.974928i	−0.0995144	+	0.436001i
$6$	0.447401			0.182651
$7$	2.78084			1.05106			0.525529	−	0.850776i	$-0.323867\pi$
$7$	2.78084			1.05106			0.525529	+	0.850776i	$0.323867\pi$
$8$	0.222521	−	0.974928i	0.0786730	−	0.344689i
$9$	−1.74567	−	2.18900i	−0.581889	−	0.729666i
$10$	0.222521	+	0.974928i	0.0703673	+	0.308299i
$11$	3.02587	+	3.79432i	0.912333	+	1.14403i	0.989139	+	0.146984i	$0.0469565\pi$
$11$	3.02587	+	3.79432i	0.912333	+	1.14403i	−0.0768057	+	0.997046i	$0.524472\pi$
$12$	0.403095	−	0.194120i	0.116363	−	0.0560377i
$13$	0.482138	−	2.11238i	0.133721	−	0.585870i	−0.863018	−	0.505173i	$-0.831429\pi$
$13$	0.482138	−	2.11238i	0.133721	−	0.585870i	0.996739	−	0.0806961i	$-0.0257143\pi$
$14$	2.50545	−	1.20656i	0.669609	−	0.322467i
$15$	−0.278950	+	0.349792i	−0.0720246	+	0.0903160i
$16$	−0.222521	−	0.974928i	−0.0556302	−	0.243732i
$17$	0.129842	+	0.568875i	0.0314913	+	0.137972i	0.988230	−	0.152977i	$-0.0488860\pi$
$17$	0.129842	+	0.568875i	0.0314913	+	0.137972i	−0.956738	+	0.290949i	$0.906029\pi$
$18$	−2.52256	−	1.21480i	−0.594573	−	0.286331i
$19$	0.315686	−	0.395858i	0.0724234	−	0.0908160i	−0.744300	−	0.667845i	$-0.767217\pi$
$19$	0.315686	−	0.395858i	0.0724234	−	0.0908160i	0.816723	+	0.577029i	$0.195788\pi$
$20$	0.623490	+	0.781831i	0.139417	+	0.174823i
$21$	1.12094	+	0.539817i	0.244609	+	0.117798i
$22$	4.37250	+	2.10569i	0.932221	+	0.448934i
$23$	1.20724	+	1.51383i	0.251727	+	0.315656i	0.891599	−	0.452826i	$-0.149584\pi$
$23$	1.20724	+	1.51383i	0.251727	+	0.315656i	−0.639872	+	0.768481i	$0.721013\pi$
$24$	0.278950	−	0.349792i	0.0569405	−	0.0714011i
$25$	−0.900969	−	0.433884i	−0.180194	−	0.0867767i
$26$	−0.482138	−	2.11238i	−0.0945550	−	0.414272i
$27$	−0.577409	−	2.52979i	−0.111122	−	0.486859i
$28$	1.73382	−	2.17415i	0.327662	−	0.410875i
$29$	2.41037	−	1.16077i	0.447594	−	0.215550i	−0.196488	−	0.980506i	$-0.562954\pi$
$29$	2.41037	−	1.16077i	0.447594	−	0.215550i	0.644082	+	0.764956i	$0.277240\pi$
$30$	−0.0995561	+	0.436184i	−0.0181764	+	0.0796359i
$31$	−2.05904	+	0.991583i	−0.369815	+	0.178094i	−0.609555	−	0.792743i	$-0.708652\pi$
$31$	−2.05904	+	0.991583i	−0.369815	+	0.178094i	0.239740	+	0.970837i	$0.422938\pi$
$32$	−0.623490	−	0.781831i	−0.110218	−	0.138210i
$33$	0.483157	+	2.11685i	0.0841069	+	0.368496i
$34$	0.363809	+	0.456202i	0.0623928	+	0.0782381i
$35$	−0.618795	+	2.71112i	−0.104595	+	0.458262i
$36$	−2.79983			−0.466639
$37$	−4.50515			−0.740643			−0.370321	−	0.928904i	$-0.620752\pi$
$37$	−4.50515			−0.740643			−0.370321	+	0.928904i	$0.620752\pi$
$38$	0.112667	−	0.493627i	0.0182770	−	0.0800768i
$39$	0.604403	−	0.757897i	0.0967819	−	0.121361i
$40$	0.900969	+	0.433884i	0.142456	+	0.0686030i
$41$	−3.01056	+	1.44981i	−0.470170	+	0.226422i	−0.653939	−	0.756548i	$-0.726885\pi$
$41$	−3.01056	+	1.44981i	−0.470170	+	0.226422i	0.183769	+	0.982970i	$0.441170\pi$
$42$	1.24415			0.191977
$43$	−3.73005	−	5.39321i	−0.568827	−	0.822457i
$43$	−3.73005	−	5.39321i	−0.568827	−	0.822457i
$44$	4.85311			0.731634
$45$	2.52256	−	1.21480i	0.376041	−	0.181092i
$46$	1.74451	+	0.840113i	0.257214	+	0.123868i
$47$	−3.13028	+	3.92525i	−0.456598	+	0.572556i	−0.955833	−	0.293911i	$-0.905043\pi$
$47$	−3.13028	+	3.92525i	−0.456598	+	0.572556i	0.499235	+	0.866467i	$0.333615\pi$
$48$	0.0995561	−	0.436184i	0.0143697	−	0.0629577i
$49$	0.733062			0.104723
$50$	−1.00000			−0.141421
$51$	−0.0580915	+	0.254515i	−0.00813444	+	0.0356393i
$52$	−1.35092	−	1.69400i	−0.187339	−	0.234915i
$53$	1.64933	+	7.22619i	0.226553	+	0.992594i	0.952427	+	0.304766i	$0.0985784\pi$
$53$	1.64933	+	7.22619i	0.226553	+	0.992594i	−0.725874	+	0.687828i	$0.758564\pi$
$54$	−1.61786	−	2.02874i	−0.220163	−	0.276076i
$55$	−4.37250	+	2.10569i	−0.589588	+	0.283931i
$56$	0.618795	−	2.71112i	0.0826899	−	0.362288i
$57$	0.204095	−	0.0982871i	0.0270331	−	0.0130184i
$58$	1.66803	−	2.09164i	0.219022	−	0.274645i
$59$	−2.67427	−	11.7167i	−0.348160	−	1.52539i	−0.781354	−	0.624088i	$-0.785471\pi$
$59$	−2.67427	−	11.7167i	−0.348160	−	1.52539i	0.433194	−	0.901301i	$-0.357386\pi$
$60$	0.0995561	+	0.436184i	0.0128526	+	0.0563111i
$61$	−7.37547	−	3.55184i	−0.944332	−	0.454766i	−0.102637	−	0.994719i	$-0.532728\pi$
$61$	−7.37547	−	3.55184i	−0.944332	−	0.454766i	−0.841695	+	0.539953i	$0.818442\pi$
$62$	−1.42490	+	1.78677i	−0.180963	+	0.226920i
$63$	−4.85442	−	6.08725i	−0.611599	−	0.766921i
$64$	−0.900969	−	0.433884i	−0.112621	−	0.0542355i
$65$	1.95214	+	0.940099i	0.242133	+	0.116605i
$66$	1.35378	+	1.69758i	0.166638	+	0.208958i
$67$	−4.32072	+	5.41801i	−0.527859	+	0.661915i	−0.972257	−	0.233915i	$-0.924846\pi$
$67$	−4.32072	+	5.41801i	−0.527859	+	0.661915i	0.444398	+	0.895830i	$0.353418\pi$
$68$	0.525720	+	0.253173i	0.0637529	+	0.0307018i
$69$	0.192767	+	0.844567i	0.0232064	+	0.101674i
$70$	0.618795	+	2.71112i	0.0739601	+	0.324040i
$71$	−0.495228	+	0.620997i	−0.0587728	+	0.0736987i	−0.810349	−	0.585948i	$-0.800722\pi$
$71$	−0.495228	+	0.620997i	−0.0587728	+	0.0736987i	0.751576	+	0.659646i	$0.229294\pi$
$72$	−2.52256	+	1.21480i	−0.297287	+	0.143166i
$73$	−2.26798	+	9.93666i	−0.265447	+	1.16300i	0.649800	+	0.760105i	$0.274852\pi$
$73$	−2.26798	+	9.93666i	−0.265447	+	1.16300i	−0.915247	+	0.402893i	$0.868005\pi$
$74$	−4.05900	+	1.95471i	−0.471849	+	0.227231i
$75$	−0.278950	−	0.349792i	−0.0322104	−	0.0403905i
$76$	−0.112667	−	0.493627i	−0.0129238	−	0.0566229i
$77$	8.41445	+	10.5514i	0.958915	+	1.20244i
$78$	0.215709	−	0.945083i	0.0244242	−	0.107010i
$79$	−8.10477			−0.911858			−0.455929	−	0.890016i	$-0.650693\pi$
$79$	−8.10477			−0.911858			−0.455929	+	0.890016i	$0.650693\pi$
$80$	1.00000			0.111803
$81$	−1.61073	+	7.05707i	−0.178970	+	0.784119i
$82$	−2.08337	+	2.61246i	−0.230070	+	0.288498i
$83$	2.29203	+	1.10378i	0.251583	+	0.121156i	0.555425	−	0.831566i	$-0.312555\pi$
$83$	2.29203	+	1.10378i	0.251583	+	0.121156i	−0.303843	+	0.952722i	$0.598270\pi$
$84$	1.12094	−	0.539817i	0.122305	−	0.0588988i
$85$	−0.583505			−0.0632900
$86$	−5.70068	−	3.24071i	−0.614721	−	0.349455i
$87$	1.19693			0.128325
$88$	4.37250	−	2.10569i	0.466111	−	0.224467i
$89$	−1.65843	−	0.798657i	−0.175793	−	0.0846575i	0.343917	−	0.939000i	$-0.388246\pi$
$89$	−1.65843	−	0.798657i	−0.175793	−	0.0846575i	−0.519711	+	0.854342i	$0.673960\pi$
$90$	1.74567	−	2.18900i	0.184009	−	0.230741i
$91$	1.34075	−	5.87419i	0.140548	−	0.615783i
$92$	1.93626			0.201869
$93$	−1.02248			−0.106026
$94$	−1.11718	+	4.89470i	−0.115229	+	0.504850i
$95$	0.315686	+	0.395858i	0.0323887	+	0.0406142i
$96$	−0.0995561	−	0.436184i	−0.0101609	−	0.0445178i
$97$	7.43806	+	9.32703i	0.755221	+	0.947017i	0.999744	−	0.0226267i	$-0.00720291\pi$
$97$	7.43806	+	9.32703i	0.755221	+	0.947017i	−0.244523	+	0.969643i	$0.578631\pi$
$98$	0.660466	−	0.318063i	0.0667171	−	0.0321293i
$99$	3.02359	−	13.2472i	0.303883	−	1.33140i
$100$	−0.900969	+	0.433884i	−0.0900969	+	0.0433884i
$101$	2.84025	−	3.56156i	0.282616	−	0.354389i	−0.620179	−	0.784460i	$-0.712940\pi$
$101$	2.84025	−	3.56156i	0.282616	−	0.354389i	0.902795	+	0.430071i	$0.141512\pi$
$102$	0.0580915	+	0.254515i	0.00575191	+	0.0252008i
$103$	−2.32648	−	10.1930i	−0.229235	−	1.00434i	−0.950266	−	0.311440i	$-0.899189\pi$
$103$	−2.32648	−	10.1930i	−0.229235	−	1.00434i	0.721031	−	0.692902i	$-0.243668\pi$
$104$	−1.95214	−	0.940099i	−0.191423	−	0.0921843i
$105$	−0.775715	+	0.972716i	−0.0757020	+	0.0949274i
$106$	4.62132	+	5.79496i	0.448863	+	0.562856i
$107$	8.08634	+	3.89418i	0.781736	+	0.376464i	0.781795	−	0.623536i	$-0.214304\pi$
$107$	8.08634	+	3.89418i	0.781736	+	0.376464i	−5.88313e−5		1.00000i	$0.500019\pi$
$108$	−2.33788	−	1.12586i	−0.224963	−	0.108336i
$109$	−1.85186	−	2.32216i	−0.177376	−	0.222423i	0.685193	−	0.728361i	$-0.259718\pi$
$109$	−1.85186	−	2.32216i	−0.177376	−	0.222423i	−0.862570	+	0.505938i	$0.831146\pi$
$110$	−3.02587	+	3.79432i	−0.288505	+	0.361774i
$111$	−1.81600	−	0.874541i	−0.172367	−	0.0830077i
$112$	−0.618795	−	2.71112i	−0.0584706	−	0.256176i
$113$	−1.29331	−	5.66636i	−0.121664	−	0.533046i	−0.998622	−	0.0524785i	$-0.983288\pi$
$113$	−1.29331	−	5.66636i	−0.121664	−	0.533046i	0.876958	−	0.480567i	$-0.159569\pi$
$114$	0.141238	−	0.177107i	0.0132282	−	0.0165876i
$115$	−1.74451	+	0.840113i	−0.162677	+	0.0783409i
$116$	0.595311	−	2.60823i	0.0552733	−	0.242168i
$117$	−5.46565	+	2.63212i	−0.505300	+	0.243339i
$118$	−7.49313	−	9.39609i	−0.689799	−	0.864980i
$119$	0.361070	+	1.58195i	0.0330992	+	0.145017i
$120$	0.278950	+	0.349792i	0.0254645	+	0.0319315i
$121$	−2.79324	+	12.2380i	−0.253931	+	1.11254i
$122$	−8.18615			−0.741140
$123$	−1.49498			−0.134797
$124$	−0.508542	+	2.22807i	−0.0456684	+	0.200086i
$125$	0.623490	−	0.781831i	0.0557666	−	0.0699291i
$126$	−7.01484	−	3.37817i	−0.624931	−	0.300951i
$127$	1.59717	−	0.769155i	0.141726	−	0.0682514i	−0.361677	−	0.932304i	$-0.617796\pi$
$127$	1.59717	−	0.769155i	0.141726	−	0.0682514i	0.503402	+	0.864052i	$0.332081\pi$
$128$	−1.00000			−0.0883883
$129$	−0.456631	−	2.89805i	−0.0402041	−	0.255159i
$130$	2.16671			0.190033
$131$	−5.81351	+	2.79964i	−0.507928	+	0.244605i	−0.670254	−	0.742132i	$-0.733815\pi$
$131$	−5.81351	+	2.79964i	−0.507928	+	0.244605i	0.162326	+	0.986737i	$0.448101\pi$
$132$	1.95626	+	0.942087i	0.170271	+	0.0819982i
$133$	0.877872	−	1.10082i	0.0761212	−	0.0954529i
$134$	−1.54205	+	6.75614i	−0.133212	+	0.583642i
$135$	2.59485			0.223329
$136$	0.583505			0.0500351
$137$	−2.58447	+	11.3233i	−0.220806	+	0.967413i	0.736068	+	0.676908i	$0.236681\pi$
$137$	−2.58447	+	11.3233i	−0.220806	+	0.967413i	−0.956873	+	0.290505i	$0.906177\pi$
$138$	0.540121	+	0.677290i	0.0459781	+	0.0576547i
$139$	−4.58815	−	20.1020i	−0.389162	−	1.70503i	−0.667553	−	0.744562i	$-0.732658\pi$
$139$	−4.58815	−	20.1020i	−0.389162	−	1.70503i	0.278391	−	0.960468i	$-0.410199\pi$
$140$	1.73382	+	2.17415i	0.146535	+	0.183749i
$141$	−2.02377	+	0.974595i	−0.170432	+	0.0820757i
$142$	−0.176745	+	0.774370i	−0.0148321	+	0.0649837i
$143$	9.47393	−	4.56241i	0.792250	−	0.381528i
$144$	−1.74567	+	2.18900i	−0.145472	+	0.182416i
$145$	0.595311	+	2.60823i	0.0494379	+	0.216602i
$146$	2.26798	+	9.93666i	0.187699	+	0.822364i
$147$	0.295493	+	0.142302i	0.0243719	+	0.0117369i
$148$	−2.80892	+	3.52227i	−0.230892	+	0.289529i
$149$	−11.6342	−	14.5889i	−0.953114	−	1.19517i	−0.980694	−	0.195548i	$-0.937352\pi$
$149$	−11.6342	−	14.5889i	−0.953114	−	1.19517i	0.0275802	−	0.999620i	$-0.491220\pi$
$150$	−0.403095	−	0.194120i	−0.0329125	−	0.0158498i
$151$	20.0372	+	9.64941i	1.63061	+	0.785258i	0.999958	+	0.00918857i	$0.00292485\pi$
$151$	20.0372	+	9.64941i	1.63061	+	0.785258i	0.630647	+	0.776069i	$0.282789\pi$
$152$	−0.315686	−	0.395858i	−0.0256055	−	0.0321083i
$153$	1.01861	−	1.27729i	0.0823493	−	0.103263i
$154$	12.1592	+	5.85558i	0.979819	+	0.471856i
$155$	−0.508542	−	2.22807i	−0.0408471	−	0.178963i
$156$	−0.215709	−	0.945083i	−0.0172705	−	0.0756672i
$157$	−7.25261	+	9.09448i	−0.578821	+	0.725818i	−0.981911	−	0.189342i	$-0.939365\pi$
$157$	−7.25261	+	9.09448i	−0.578821	+	0.725818i	0.403090	+	0.915160i	$0.367936\pi$
$158$	−7.30215	+	3.51653i	−0.580928	+	0.279760i
$159$	−0.737913	+	3.23301i	−0.0585203	+	0.256394i
$160$	0.900969	−	0.433884i	0.0712278	−	0.0343015i
$161$	3.35714	+	4.20972i	0.264580	+	0.331772i
$162$	1.61073	+	7.05707i	0.126551	+	0.554456i
$163$	8.48622	+	10.6414i	0.664692	+	0.833497i	0.993845	−	0.110779i	$-0.0353346\pi$
$163$	8.48622	+	10.6414i	0.664692	+	0.833497i	−0.329153	+	0.944277i	$0.606763\pi$
$164$	−0.743546	+	3.25769i	−0.0580612	+	0.254383i
$165$	−2.17129			−0.169035
$166$	2.54396			0.197450
$167$	2.37626	−	10.4111i	0.183881	−	0.805634i	−0.795879	−	0.605456i	$-0.792991\pi$
$167$	2.37626	−	10.4111i	0.183881	−	0.805634i	0.979760	−	0.200178i	$-0.0641520\pi$
$168$	0.775715	−	0.972716i	0.0598477	−	0.0750467i
$169$	7.48289	+	3.60357i	0.575607	+	0.277198i
$170$	−0.525720	+	0.253173i	−0.0403209	+	0.0194175i
$171$	−1.41761			−0.108408
$172$	−6.54223	−	0.446345i	−0.498840	−	0.0340335i
$173$	13.9154			1.05797			0.528984	−	0.848632i	$-0.322573\pi$
$173$	13.9154			1.05797			0.528984	+	0.848632i	$0.322573\pi$
$174$	1.07840	−	0.519330i	0.0817533	−	0.0393703i
$175$	−2.50545	−	1.20656i	−0.189394	−	0.0912074i
$176$	3.02587	−	3.79432i	0.228083	−	0.286007i
$177$	1.19647	−	5.24208i	0.0899322	−	0.394019i
$178$	−1.84072			−0.137968
$179$	6.65809			0.497649			0.248825	−	0.968549i	$-0.419956\pi$
$179$	6.65809			0.497649			0.248825	+	0.968549i	$0.419956\pi$
$180$	0.623021	−	2.72963i	0.0464373	−	0.203455i
$181$	−6.06296	−	7.60272i	−0.450657	−	0.565106i	0.503660	−	0.863902i	$-0.331986\pi$
$181$	−6.06296	−	7.60272i	−0.450657	−	0.565106i	−0.954317	+	0.298796i	$0.903415\pi$
$182$	−1.34075	−	5.87419i	−0.0993827	−	0.435424i
$183$	−2.28353	−	2.86345i	−0.168803	−	0.211673i
$184$	1.74451	−	0.840113i	0.128607	−	0.0619339i
$185$	1.00249	−	4.39220i	0.0737046	−	0.322921i
$186$	−0.921219	+	0.443636i	−0.0675470	+	0.0325289i
$187$	−1.76561	+	2.21400i	−0.129114	+	0.161904i
$188$	1.11718	+	4.89470i	0.0814790	+	0.356983i
$189$	−1.60568	−	7.03495i	−0.116796	−	0.511717i
$190$	0.456180	+	0.219685i	0.0330947	+	0.0159376i
$191$	9.96007	−	12.4895i	0.720686	−	0.903711i	−0.277691	−	0.960671i	$-0.589569\pi$
$191$	9.96007	−	12.4895i	0.720686	−	0.903711i	0.998377	+	0.0569592i	$0.0181405\pi$
$192$	−0.278950	−	0.349792i	−0.0201315	−	0.0252441i
$193$	3.27087	+	1.57517i	0.235443	+	0.113383i	0.547885	−	0.836553i	$-0.315433\pi$
$193$	3.27087	+	1.57517i	0.235443	+	0.113383i	−0.312443	+	0.949937i	$0.601147\pi$
$194$	10.7483	+	5.17611i	0.771684	+	0.371623i
$195$	0.604403	+	0.757897i	0.0432822	+	0.0542742i
$196$	0.457056	−	0.573131i	0.0326469	−	0.0409379i
$197$	4.29087	+	2.06638i	0.305712	+	0.147223i	0.580450	−	0.814296i	$-0.302877\pi$
$197$	4.29087	+	2.06638i	0.305712	+	0.147223i	−0.274738	+	0.961519i	$0.588591\pi$
$198$	−3.02359	−	13.2472i	−0.214877	−	0.941439i
$199$	−2.52855	−	11.0783i	−0.179244	−	0.785320i	−0.981980	−	0.188985i	$-0.939480\pi$
$199$	−2.52855	−	11.0783i	−0.179244	−	0.785320i	0.802736	−	0.596335i	$-0.203377\pi$
$200$	−0.623490	+	0.781831i	−0.0440874	+	0.0552838i
$201$	−2.79340	+	1.34523i	−0.197031	+	0.0948853i
$202$	1.01367	−	4.44120i	0.0713219	−	0.312481i
$203$	6.70284	−	3.22792i	0.470447	−	0.226555i
$204$	0.162769	+	0.204106i	0.0113961	+	0.0142902i
$205$	−0.743546	−	3.25769i	−0.0519315	−	0.227527i
$206$	−6.51864	−	8.17412i	−0.454175	−	0.569518i
$207$	1.20633	−	5.28529i	0.0838459	−	0.367353i
$208$	−2.16671			−0.150234
$209$	2.45723			0.169970
$210$	−0.276850	+	1.21296i	−0.0191044	+	0.0837020i
$211$	14.1492	−	17.7425i	0.974068	−	1.22144i	−0.00110503	−	0.999999i	$-0.500352\pi$
$211$	14.1492	−	17.7425i	0.974068	−	1.22144i	0.975173	−	0.221443i	$-0.0710768\pi$
$212$	6.67801	+	3.21596i	0.458647	+	0.220873i
$213$	−0.320172	+	0.154187i	−0.0219378	+	0.0105647i
$214$	8.97516			0.613529
$215$	6.08801	−	2.43642i	0.415199	−	0.166163i
$216$	−2.59485			−0.176557
$217$	−5.72587	+	2.75743i	−0.388697	+	0.187187i
$218$	−2.67602	−	1.28870i	−0.181243	−	0.0872819i
$219$	−2.84311	+	3.56515i	−0.192120	+	0.240911i
$220$	−1.07992	+	4.73144i	−0.0728082	+	0.318993i
$221$	1.26428			0.0850449
$222$	−2.01561			−0.135279
$223$	−4.47605	+	19.6108i	−0.299738	+	1.31324i	0.570780	+	0.821103i	$0.306641\pi$
$223$	−4.47605	+	19.6108i	−0.299738	+	1.31324i	−0.870518	+	0.492136i	$0.836216\pi$
$224$	−1.73382	−	2.17415i	−0.115846	−	0.145266i
$225$	0.623021	+	2.72963i	0.0415348	+	0.181976i
$226$	−3.62377	−	4.54406i	−0.241050	−	0.302267i
$227$	−10.7741	+	5.18851i	−0.715099	+	0.344374i	−0.755804	−	0.654798i	$-0.772754\pi$
$227$	−10.7741	+	5.18851i	−0.715099	+	0.344374i	0.0407050	+	0.999171i	$0.487040\pi$
$228$	0.0504074	−	0.220849i	0.00333831	−	0.0146261i
$229$	−1.58857	+	0.765017i	−0.104976	+	0.0505538i	−0.485635	−	0.874162i	$-0.661412\pi$
$229$	−1.58857	+	0.765017i	−0.104976	+	0.0505538i	0.380659	+	0.924716i	$0.375697\pi$
$230$	−1.20724	+	1.51383i	−0.0796030	+	0.0998191i
$231$	1.34358	+	5.88662i	0.0884012	+	0.387311i
$232$	−0.595311	−	2.60823i	−0.0390841	−	0.171239i
$233$	20.7861	+	10.0101i	1.36175	+	0.655782i	0.965025	−	0.262157i	$-0.0844340\pi$
$233$	20.7861	+	10.0101i	1.36175	+	0.655782i	0.396720	+	0.917939i	$0.370148\pi$
$234$	−3.78235	+	4.74291i	−0.247260	+	0.310054i
$235$	−3.13028	−	3.92525i	−0.204197	−	0.256055i
$236$	−10.8279	−	5.21444i	−0.704836	−	0.339431i
$237$	−3.26699	−	1.57330i	−0.212214	−	0.102197i
$238$	1.01169	+	1.26863i	0.0655784	+	0.0822328i
$239$	−6.87936	+	8.62645i	−0.444989	+	0.557999i	−0.952850	−	0.303440i	$-0.901865\pi$
$239$	−6.87936	+	8.62645i	−0.444989	+	0.557999i	0.507861	+	0.861439i	$0.330436\pi$
$240$	0.403095	+	0.194120i	0.0260196	+	0.0125304i
$241$	−5.28812	−	23.1688i	−0.340638	−	1.49243i	−0.797731	−	0.603013i	$-0.793967\pi$
$241$	−5.28812	−	23.1688i	−0.340638	−	1.49243i	0.457094	−	0.889419i	$-0.348890\pi$
$242$	2.79324	+	12.2380i	0.179556	+	0.786688i
$243$	−6.87279	+	8.61820i	−0.440890	+	0.552858i
$244$	−7.37547	+	3.55184i	−0.472166	+	0.227383i
$245$	−0.163122	+	0.714682i	−0.0104215	+	0.0456594i
$246$	−1.34693	+	0.648645i	−0.0858769	+	0.0413561i
$247$	−0.683999	−	0.857708i	−0.0435218	−	0.0545746i
$248$	0.508542	+	2.22807i	0.0322924	+	0.141482i
$249$	0.709638	+	0.889858i	0.0449715	+	0.0563924i
$250$	0.222521	−	0.974928i	0.0140735	−	0.0616599i
$251$	21.4008			1.35081			0.675403	−	0.737449i	$-0.263970\pi$
$251$	21.4008			1.35081			0.675403	+	0.737449i	$0.263970\pi$
$252$	−7.78588			−0.490464
$253$	−2.09101	+	9.16130i	−0.131461	+	0.575966i
$254$	1.10527	−	1.38597i	0.0693510	−	0.0869634i
$255$	−0.235208	−	0.113270i	−0.0147293	−	0.00709324i
$256$	−0.900969	+	0.433884i	−0.0563106	+	0.0271177i
$257$	28.1746			1.75748			0.878742	−	0.477297i	$-0.158384\pi$
$257$	28.1746			1.75748			0.878742	+	0.477297i	$0.158384\pi$
$258$	−1.66883	−	2.41293i	−0.103897	−	0.150222i
$259$	−12.5281			−0.778458
$260$	1.95214	−	0.940099i	0.121066	−	0.0583024i
$261$	−6.74862	−	3.24996i	−0.417729	−	0.201168i
$262$	−4.02307	+	5.04477i	−0.248546	+	0.311667i
$263$	3.13022	−	13.7144i	0.193018	−	0.845666i	−0.781954	−	0.623336i	$-0.785777\pi$
$263$	3.13022	−	13.7144i	0.193018	−	0.845666i	0.974972	−	0.222330i	$-0.0713661\pi$
$264$	2.17129			0.133634
$265$	−7.41203			−0.455317
$266$	0.313309	−	1.37270i	0.0192102	−	0.0841654i
$267$	−0.513468	−	0.643869i	−0.0314238	−	0.0394041i
$268$	1.54205	+	6.75614i	0.0941954	+	0.412697i
$269$	2.12075	+	2.65934i	0.129305	+	0.162143i	0.842269	−	0.539057i	$-0.181219\pi$
$269$	2.12075	+	2.65934i	0.129305	+	0.162143i	−0.712965	+	0.701200i	$0.752648\pi$
$270$	2.33788	−	1.12586i	0.142279	−	0.0685179i
$271$	4.50883	−	19.7545i	0.273892	−	1.20000i	−0.631484	−	0.775389i	$-0.717554\pi$
$271$	4.50883	−	19.7545i	0.273892	−	1.20000i	0.905376	−	0.424610i	$-0.139589\pi$
$272$	0.525720	−	0.253173i	0.0318764	−	0.0153509i
$273$	1.68075	−	2.10759i	0.101723	−	0.127557i
$274$	2.58447	+	11.3233i	0.156133	+	0.684064i
$275$	−1.07992	−	4.73144i	−0.0651216	−	0.285316i
$276$	0.780497	+	0.375868i	0.0469804	+	0.0226246i
$277$	17.2128	−	21.5842i	1.03422	−	1.29687i	0.0803084	−	0.996770i	$-0.474409\pi$
$277$	17.2128	−	21.5842i	1.03422	−	1.29687i	0.953909	−	0.300097i	$-0.0970191\pi$
$278$	−12.8557	−	16.1206i	−0.771035	−	0.966847i
$279$	5.76498	+	2.77627i	0.345140	+	0.166211i
$280$	2.50545	+	1.20656i	0.149729	+	0.0721058i
$281$	19.3893	+	24.3134i	1.15667	+	1.45041i	0.870456	+	0.492246i	$0.163824\pi$
$281$	19.3893	+	24.3134i	1.15667	+	1.45041i	0.286210	+	0.958167i	$0.407604\pi$
$282$	−1.40049	+	1.75616i	−0.0833980	+	0.104578i
$283$	−3.05915	−	1.47321i	−0.181848	−	0.0875732i	0.340745	−	0.940156i	$-0.389321\pi$
$283$	−3.05915	−	1.47321i	−0.181848	−	0.0875732i	−0.522592	+	0.852583i	$0.675035\pi$
$284$	0.176745	+	0.774370i	0.0104879	+	0.0459504i
$285$	0.0504074	+	0.220849i	0.00298588	+	0.0130820i
$286$	6.55617	−	8.22117i	0.387674	−	0.486128i
$287$	−8.37187	+	4.03168i	−0.494176	+	0.237982i
$288$	−0.623021	+	2.72963i	−0.0367119	+	0.160845i
$289$	15.0097	−	7.22830i	0.882924	−	0.425194i
$290$	1.66803	+	2.09164i	0.0979498	+	0.122825i
$291$	1.18768	+	5.20355i	0.0696229	+	0.305038i
$292$	6.35473	+	7.96858i	0.371883	+	0.466326i
$293$	1.79776	−	7.87649i	0.105026	−	0.460149i	−0.894878	−	0.446310i	$-0.852738\pi$
$293$	1.79776	−	7.87649i	0.105026	−	0.460149i	0.999904	−	0.0138387i	$-0.00440515\pi$
$294$	0.327973			0.0191278
$295$	12.0181			0.699718
$296$	−1.00249	+	4.39220i	−0.0582686	+	0.255291i
$297$	7.85168	−	9.84569i	0.455601	−	0.571305i
$298$	−16.8120	−	8.09621i	−0.973891	−	0.469001i
$299$	3.77985	−	1.82028i	0.218594	−	0.105269i
$300$	−0.447401			−0.0258307
$301$	−10.3727	−	14.9977i	−0.597870	−	0.864450i
$302$	22.2396			1.27975
$303$	1.83626	−	0.884297i	0.105490	−	0.0508015i
$304$	−0.456180	−	0.219685i	−0.0261637	−	0.0125998i
$305$	5.10398	−	6.40019i	0.292253	−	0.366474i
$306$	0.363536	−	1.59275i	0.0207820	−	0.0910517i
$307$	−28.9038			−1.64963			−0.824813	−	0.565405i	$-0.808720\pi$
$307$	−28.9038			−1.64963			−0.824813	+	0.565405i	$0.808720\pi$
$308$	13.4957			0.768990
$309$	1.04087	−	4.56034i	0.0592129	−	0.259429i
$310$	−1.42490	−	1.78677i	−0.0809290	−	0.101482i
$311$	−3.04147	−	13.3256i	−0.172466	−	0.755624i	−0.984978	−	0.172679i	$-0.944758\pi$
$311$	−3.04147	−	13.3256i	−0.172466	−	0.755624i	0.812512	−	0.582945i	$-0.198100\pi$
$312$	−0.604403	−	0.757897i	−0.0342176	−	0.0429075i
$313$	−21.4915	+	10.3498i	−1.21477	+	0.585004i	−0.927851	−	0.372950i	$-0.878346\pi$
$313$	−21.4915	+	10.3498i	−1.21477	+	0.585004i	−0.286922	+	0.957954i	$0.592632\pi$
$314$	−2.58842	+	11.3406i	−0.146073	+	0.639989i
$315$	7.01484	−	3.37817i	0.395241	−	0.190338i
$316$	−5.05324	+	6.33657i	−0.284267	+	0.356460i
$317$	6.04450	+	26.4827i	0.339493	+	1.48741i	0.800130	+	0.599826i	$0.204764\pi$
$317$	6.04450	+	26.4827i	0.339493	+	1.48741i	−0.460637	+	0.887588i	$0.652379\pi$
$318$	0.737913	+	3.23301i	0.0413801	+	0.181298i
$319$	11.6978	+	5.63335i	0.654950	+	0.315407i
$320$	0.623490	−	0.781831i	0.0348541	−	0.0437057i
$321$	2.50362	+	3.13944i	0.139739	+	0.175227i
$322$	4.85121	+	2.33622i	0.270347	+	0.130192i
$323$	0.266183	+	0.128187i	0.0148108	+	0.00713251i
$324$	4.51317	+	5.65933i	0.250731	+	0.314407i
$325$	−1.35092	+	1.69400i	−0.0749355	+	0.0939662i
$326$	12.2629	+	5.90552i	0.679182	+	0.327077i
$327$	−0.295697	−	1.29553i	−0.0163521	−	0.0716432i
$328$	0.743546	+	3.25769i	0.0410554	+	0.179876i
$329$	−8.70480	+	10.9155i	−0.479911	+	0.601790i
$330$	−1.95626	+	0.942087i	−0.107689	+	0.0518602i
$331$	−2.68698	+	11.7724i	−0.147690	+	0.647071i	0.845834	+	0.533446i	$0.179103\pi$
$331$	−2.68698	+	11.7724i	−0.147690	+	0.647071i	−0.993524	+	0.113625i	$0.963754\pi$
$332$	2.29203	−	1.10378i	0.125791	−	0.0605779i
$333$	7.86450	+	9.86177i	0.430972	+	0.540421i
$334$	−2.37626	−	10.4111i	−0.130023	−	0.569669i
$335$	−4.32072	−	5.41801i	−0.236066	−	0.296017i
$336$	0.276850	−	1.21296i	0.0151034	−	0.0661722i
$337$	10.2417			0.557902			0.278951	−	0.960305i	$-0.410013\pi$
$337$	10.2417			0.557902			0.278951	+	0.960305i	$0.410013\pi$
$338$	8.30538			0.451753
$339$	0.578628	−	2.53513i	0.0314268	−	0.137690i
$340$	−0.363809	+	0.456202i	−0.0197303	+	0.0247411i
$341$	−9.99277	−	4.81227i	−0.541139	−	0.260599i
$342$	−1.27723	+	0.615080i	−0.0690645	+	0.0332597i
$343$	−17.4273			−0.940988
$344$	−6.08801	+	2.43642i	−0.328243	+	0.131363i
$345$	−0.866286			−0.0466393
$346$	12.5373	−	6.03766i	0.674012	−	0.324587i
$347$	−5.85006	−	2.81724i	−0.314047	−	0.151237i	0.270220	−	0.962799i	$-0.412904\pi$
$347$	−5.85006	−	2.81724i	−0.314047	−	0.151237i	−0.584267	+	0.811561i	$0.698618\pi$
$348$	0.746276	−	0.935801i	0.0400046	−	0.0501642i
$349$	−7.03779	+	30.8346i	−0.376725	+	1.65054i	0.330690	+	0.943739i	$0.392718\pi$
$349$	−7.03779	+	30.8346i	−0.376725	+	1.65054i	−0.707415	+	0.706799i	$0.750139\pi$
$350$	−2.78084			−0.148642
$351$	−5.62228			−0.300095
$352$	1.07992	−	4.73144i	0.0575599	−	0.252186i
$353$	12.6286	+	15.8357i	0.672151	+	0.842851i	0.994605	−	0.103734i	$-0.0330791\pi$
$353$	12.6286	+	15.8357i	0.672151	+	0.842851i	−0.322454	+	0.946585i	$0.604508\pi$
$354$	−1.19647	−	5.24208i	−0.0635917	−	0.278613i
$355$	−0.495228	−	0.620997i	−0.0262840	−	0.0329591i
$356$	−1.65843	+	0.798657i	−0.0878966	+	0.0423288i
$357$	−0.161543	+	0.707766i	−0.00854976	+	0.0374590i
$358$	5.99874	−	2.88884i	0.317043	−	0.152680i
$359$	−19.9764	+	25.0497i	−1.05432	+	1.32207i	−0.109674	+	0.993968i	$0.534981\pi$
$359$	−19.9764	+	25.0497i	−1.05432	+	1.32207i	−0.944642	+	0.328103i	$0.893591\pi$
$360$	−0.623021	−	2.72963i	−0.0328361	−	0.143864i
$361$	4.17085	+	18.2737i	0.219519	+	0.961774i
$362$	−8.76124	−	4.21919i	−0.460480	−	0.221756i
$363$	−3.50158	+	4.39084i	−0.183785	+	0.230460i
$364$	−3.75669	−	4.71074i	−0.196904	−	0.246910i
$365$	−9.18285	−	4.42223i	−0.480652	−	0.231470i
$366$	−3.29979	−	1.58910i	−0.172483	−	0.0830634i
$367$	−15.6315	−	19.6013i	−0.815958	−	1.02318i	−0.999195	−	0.0401102i	$-0.987229\pi$
$367$	−15.6315	−	19.6013i	−0.815958	−	1.02318i	0.183237	−	0.983069i	$-0.441342\pi$
$368$	1.20724	−	1.51383i	0.0629317	−	0.0789139i
$369$	8.42905	+	4.05922i	0.438799	+	0.211314i
$370$	−1.00249	−	4.39220i	−0.0521170	−	0.228340i
$371$	4.58652	+	20.0949i	0.238120	+	1.04327i
$372$	−0.637503	+	0.799404i	−0.0330530	+	0.0414471i
$373$	−25.4741	+	12.2677i	−1.31900	+	0.635196i	−0.955111	−	0.296248i	$-0.904265\pi$
$373$	−25.4741	+	12.2677i	−1.31900	+	0.635196i	−0.363886	+	0.931443i	$0.618550\pi$
$374$	−0.630138	+	2.76082i	−0.0325837	+	0.142758i
$375$	0.403095	−	0.194120i	0.0208157	−	0.0100243i
$376$	3.13028	+	3.92525i	0.161432	+	0.202429i
$377$	−1.28986	−	5.65127i	−0.0664314	−	0.291055i
$378$	−4.49902	−	5.64159i	−0.231404	−	0.290172i
$379$	3.20855	−	14.0576i	0.164812	−	0.722089i	−0.823205	−	0.567744i	$-0.807816\pi$
$379$	3.20855	−	14.0576i	0.164812	−	0.722089i	0.988017	−	0.154345i	$-0.0493267\pi$
$380$	0.506321			0.0259737
$381$	0.793117			0.0406326
$382$	3.55471	−	15.5742i	0.181875	−	0.796845i
$383$	−8.19033	+	10.2703i	−0.418506	+	0.524790i	−0.945738	−	0.324932i	$-0.894659\pi$
$383$	−8.19033	+	10.2703i	−0.418506	+	0.524790i	0.527231	+	0.849722i	$0.323230\pi$
$384$	−0.403095	−	0.194120i	−0.0205703	−	0.00990615i
$385$	−12.1592	+	5.85558i	−0.619692	+	0.298428i
$386$	3.63039			0.184782
$387$	−5.29431	+	17.5798i	−0.269125	+	0.893632i
$388$	11.9297			0.605640
$389$	−20.3811	+	9.81501i	−1.03336	+	0.497641i	−0.872129	−	0.489276i	$-0.837261\pi$
$389$	−20.3811	+	9.81501i	−1.03336	+	0.497641i	−0.161232	+	0.986916i	$0.551547\pi$
$390$	0.873388	+	0.420601i	0.0442257	+	0.0212980i
$391$	−0.704430	+	0.883328i	−0.0356246	+	0.0446718i
$392$	0.163122	−	0.714682i	0.00823888	−	0.0360969i
$393$	−2.88686			−0.145623
$394$	4.76251			0.239932
$395$	1.80348	−	7.90157i	0.0907430	−	0.397571i
$396$	−8.47192	−	10.6235i	−0.425730	−	0.533849i
$397$	−6.61526	−	28.9833i	−0.332010	−	1.45463i	−0.815232	−	0.579134i	$-0.803391\pi$
$397$	−6.61526	−	28.9833i	−0.332010	−	1.45463i	0.483222	−	0.875498i	$-0.339466\pi$
$398$	−7.08484	−	8.88411i	−0.355131	−	0.445320i
$399$	0.567556	−	0.273321i	0.0284133	−	0.0136831i
$400$	−0.222521	+	0.974928i	−0.0111260	+	0.0487464i
$401$	−25.7416	+	12.3965i	−1.28547	+	0.619051i	−0.946791	−	0.321850i	$-0.895695\pi$
$401$	−25.7416	+	12.3965i	−1.28547	+	0.619051i	−0.338681	+	0.940901i	$0.609981\pi$
$402$	−1.93309	+	2.42402i	−0.0964139	+	0.120899i
$403$	1.10186	+	4.82757i	0.0548876	+	0.240478i
$404$	−1.01367	−	4.44120i	−0.0504322	−	0.220958i
$405$	−6.52171	−	3.14069i	−0.324067	−	0.156062i
$406$	4.63851	−	5.81651i	0.230205	−	0.288668i
$407$	−13.6320	−	17.0940i	−0.675713	−	0.847317i
$408$	0.235208	+	0.113270i	0.0116445	+	0.00560770i
$409$	18.2361	+	8.78203i	0.901716	+	0.434243i	0.826508	−	0.562925i	$-0.190324\pi$
$409$	18.2361	+	8.78203i	0.901716	+	0.434243i	0.0752073	+	0.997168i	$0.476038\pi$
$410$	−2.08337	−	2.61246i	−0.102890	−	0.129020i
$411$	−3.23986	+	4.06266i	−0.159811	+	0.200396i
$412$	−9.41971	−	4.53629i	−0.464076	−	0.223487i
$413$	−7.43671	−	32.5823i	−0.365936	−	1.60327i
$414$	−1.20633	−	5.28529i	−0.0592880	−	0.259758i
$415$	−1.58613	+	1.98895i	−0.0778602	+	0.0976336i
$416$	−1.95214	+	0.940099i	−0.0957113	+	0.0460921i
$417$	2.05275	−	8.99366i	0.100523	−	0.440422i
$418$	2.21389	−	1.06615i	0.108285	−	0.0521473i
$419$	23.7875	+	29.8286i	1.16210	+	1.45722i	0.864572	+	0.502508i	$0.167589\pi$
$419$	23.7875	+	29.8286i	1.16210	+	1.45722i	0.297524	+	0.954714i	$0.403839\pi$
$420$	0.276850	+	1.21296i	0.0135089	+	0.0591862i
$421$	−8.35144	−	10.4724i	−0.407024	−	0.510392i	0.535498	−	0.844537i	$-0.320124\pi$
$421$	−8.35144	−	10.4724i	−0.407024	−	0.510392i	−0.942522	+	0.334144i	$0.891553\pi$
$422$	5.04978	−	22.1245i	0.245819	−	1.07700i
$423$	14.0568			0.683464
$424$	7.41203			0.359960
$425$	0.129842	−	0.568875i	0.00629826	−	0.0275945i
$426$	−0.221566	+	0.277835i	−0.0107349	+	0.0134611i
$427$	−20.5100	−	9.87709i	−0.992548	−	0.477986i
$428$	8.08634	−	3.89418i	0.390868	−	0.188232i
$429$	4.70455			0.227138
$430$	4.42798	−	4.83663i	0.213536	−	0.233243i
$431$	−1.61919			−0.0779937			−0.0389969	−	0.999239i	$-0.512416\pi$
$431$	−1.61919			−0.0779937			−0.0389969	+	0.999239i	$0.512416\pi$
$432$	−2.33788	+	1.12586i	−0.112481	+	0.0541682i
$433$	−8.75619	−	4.21676i	−0.420796	−	0.202645i	0.211489	−	0.977380i	$-0.432169\pi$
$433$	−8.75619	−	4.21676i	−0.420796	−	0.202645i	−0.632285	+	0.774736i	$0.717883\pi$
$434$	−3.96242	+	4.96872i	−0.190202	+	0.238506i
$435$	−0.266343	+	1.16692i	−0.0127702	+	0.0559498i
$436$	−2.97016			−0.142245
$437$	0.980371			0.0468975
$438$	−1.01470	+	4.44567i	−0.0484840	+	0.212422i
$439$	−4.90625	−	6.15224i	−0.234162	−	0.293630i	0.650842	−	0.759213i	$-0.274416\pi$
$439$	−4.90625	−	6.15224i	−0.234162	−	0.293630i	−0.885004	+	0.465583i	$0.845845\pi$
$440$	1.07992	+	4.73144i	0.0514831	+	0.225562i
$441$	−1.27968	−	1.60467i	−0.0609372	−	0.0764128i
$442$	1.13908	−	0.548552i	0.0541805	−	0.0260920i
$443$	−3.85396	+	16.8853i	−0.183107	+	0.802245i	0.797032	+	0.603937i	$0.206402\pi$
$443$	−3.85396	+	16.8853i	−0.183107	+	0.802245i	−0.980140	+	0.198309i	$0.936455\pi$
$444$	−1.81600	+	0.874541i	−0.0861837	+	0.0415039i
$445$	1.14767	−	1.43913i	0.0544047	−	0.0682214i
$446$	4.47605	+	19.6108i	0.211947	+	0.928600i
$447$	−1.85770	−	8.13914i	−0.0878664	−	0.384968i
$448$	−2.50545	−	1.20656i	−0.118371	−	0.0570046i
$449$	4.67916	−	5.86748i	0.220823	−	0.276904i	−0.659063	−	0.752088i	$-0.729047\pi$
$449$	4.67916	−	5.86748i	0.220823	−	0.276904i	0.879886	+	0.475184i	$0.157618\pi$
$450$	1.74567	+	2.18900i	0.0822915	+	0.103190i
$451$	−14.6106	−	7.03608i	−0.687985	−	0.331316i
$452$	−5.23650	−	2.52177i	−0.246304	−	0.118614i
$453$	6.20375	+	7.77925i	0.291477	+	0.365501i
$454$	−7.45588	+	9.34938i	−0.349922	+	0.438788i
$455$	5.42857	+	2.61426i	0.254495	+	0.122559i
$456$	−0.0504074	−	0.220849i	−0.00236054	−	0.0103422i
$457$	−3.44351	−	15.0870i	−0.161081	−	0.705740i	−0.989368	−	0.145436i	$-0.953542\pi$
$457$	−3.44351	−	15.0870i	−0.161081	−	0.705740i	0.828287	−	0.560304i	$-0.189316\pi$
$458$	−1.09933	+	1.37851i	−0.0513682	+	0.0644137i
$459$	1.36416	−	0.656947i	0.0636738	−	0.0306637i
$460$	−0.430859	+	1.88772i	−0.0200889	+	0.0880152i
$461$	−34.0284	+	16.3872i	−1.58486	+	0.763228i	−0.998890	−	0.0471061i	$-0.985000\pi$
$461$	−34.0284	+	16.3872i	−1.58486	+	0.763228i	−0.585969	+	0.810334i	$0.699286\pi$
$462$	3.76463	+	4.72070i	0.175147	+	0.219627i
$463$	1.61913	+	7.09386i	0.0752472	+	0.329680i	0.998515	−	0.0544774i	$-0.0173493\pi$
$463$	1.61913	+	7.09386i	0.0752472	+	0.329680i	−0.923268	+	0.384157i	$0.874492\pi$
$464$	−1.66803	−	2.09164i	−0.0774361	−	0.0971018i
$465$	0.227522	−	0.996840i	0.0105511	−	0.0462274i
$466$	23.0709			1.06874
$467$	−21.9531			−1.01587			−0.507934	−	0.861396i	$-0.669591\pi$
$467$	−21.9531			−1.01587			−0.507934	+	0.861396i	$0.669591\pi$
$468$	−1.34990	+	5.91432i	−0.0623993	+	0.273389i
$469$	−12.0152	+	15.0666i	−0.554811	+	0.695711i
$470$	−4.52338	−	2.17835i	−0.208648	−	0.100480i
$471$	−4.68891	+	2.25806i	−0.216053	+	0.104046i
$472$	−12.0181			−0.553176
$473$	9.17694	−	30.4721i	0.421956	−	1.40111i
$474$	−3.62609			−0.166552
$475$	−0.456180	+	0.219685i	−0.0209310	+	0.0100798i
$476$	1.46194	+	0.704034i	0.0670080	+	0.0322693i
$477$	12.9389	−	16.2249i	0.592433	−	0.742888i
$478$	−2.45522	+	10.7570i	−0.112299	+	0.492014i
$479$	−31.2597			−1.42829			−0.714146	−	0.699997i	$-0.753185\pi$
$479$	−31.2597			−1.42829			−0.714146	+	0.699997i	$0.753185\pi$
$480$	0.447401			0.0204210
$481$	−2.17210	+	9.51661i	−0.0990394	+	0.433920i
$482$	−14.8170	−	18.5799i	−0.674895	−	0.846292i
$483$	0.536053	+	2.34860i	0.0243913	+	0.106865i
$484$	7.82649	+	9.81411i	0.355750	+	0.446096i
$485$	−10.7483	+	5.17611i	−0.488056	+	0.235035i
$486$	−2.45287	+	10.7467i	−0.111264	+	0.487481i
$487$	30.1075	−	14.4990i	1.36430	−	0.657012i	0.398709	−	0.917077i	$-0.369458\pi$
$487$	30.1075	−	14.4990i	1.36430	−	0.657012i	0.965591	+	0.260065i	$0.0837439\pi$
$488$	−5.10398	+	6.40019i	−0.231046	+	0.289723i
$489$	1.35504	+	5.93683i	0.0612771	+	0.268473i
$490$	0.163122	+	0.714682i	0.00736908	+	0.0322860i
$491$	22.0769	+	10.6317i	0.996316	+	0.479800i	0.859687	−	0.510822i	$-0.170659\pi$
$491$	22.0769	+	10.6317i	0.996316	+	0.479800i	0.136629	+	0.990622i	$0.456373\pi$
$492$	−0.932102	+	1.16882i	−0.0420224	+	0.0526944i
$493$	0.973301	+	1.22048i	0.0438353	+	0.0549677i
$494$	−0.988407	−	0.475992i	−0.0444705	−	0.0214159i
$495$	12.2423	+	5.89557i	0.550250	+	0.264986i
$496$	1.42490	+	1.78677i	0.0639800	+	0.0802284i
$497$	−1.37715	+	1.72689i	−0.0617736	+	0.0774617i
$498$	1.02546	+	0.493834i	0.0459518	+	0.0221292i
$499$	−3.20441	−	14.0394i	−0.143449	−	0.628491i	−0.994619	−	0.103601i	$-0.966964\pi$
$499$	−3.20441	−	14.0394i	−0.143449	−	0.628491i	0.851170	−	0.524890i	$-0.175894\pi$
$500$	−0.222521	−	0.974928i	−0.00995144	−	0.0436001i
$501$	2.97886	−	3.73537i	0.133086	−	0.166884i
$502$	19.2815	−	9.28546i	0.860573	−	0.414430i
$503$	−2.74518	+	12.0274i	−0.122402	+	0.536277i	0.876128	+	0.482078i	$0.160118\pi$
$503$	−2.74518	+	12.0274i	−0.122402	+	0.536277i	−0.998530	+	0.0541991i	$0.982739\pi$
$504$	−7.01484	+	3.37817i	−0.312466	+	0.150476i
$505$	2.84025	+	3.56156i	0.126390	+	0.158487i
$506$	2.09101	+	9.16130i	0.0929566	+	0.407270i
$507$	2.31679	+	2.90516i	0.102892	+	0.129023i
$508$	0.394467	−	1.72827i	0.0175017	−	0.0766798i
$509$	−18.7180			−0.829659			−0.414830	−	0.909899i	$-0.636159\pi$
$509$	−18.7180			−0.829659			−0.414830	+	0.909899i	$0.636159\pi$
$510$	−0.261061			−0.0115600
$511$	−6.30688	+	27.6322i	−0.279000	+	1.22238i
$512$	−0.623490	+	0.781831i	−0.0275546	+	0.0345524i
$513$	−1.18372	−	0.570049i	−0.0522625	−	0.0251683i
$514$	25.3844	−	12.2245i	1.11966	−	0.539200i
$515$	10.4551			0.460706
$516$	−2.55049	−	1.44990i	−0.112279	−	0.0638282i
$517$	−24.3654			−1.07159
$518$	−11.2874	+	5.43574i	−0.495941	+	0.238833i
$519$	5.60922	+	2.70126i	0.246217	+	0.118572i
$520$	1.35092	−	1.69400i	0.0592417	−	0.0742868i
$521$	−0.509095	+	2.23049i	−0.0223038	+	0.0977195i	−0.984855	−	0.173382i	$-0.944531\pi$
$521$	−0.509095	+	2.23049i	−0.0223038	+	0.0977195i	0.962551	+	0.271101i	$0.0873878\pi$
$522$	−7.49040			−0.327846
$523$	35.8007			1.56546			0.782729	−	0.622363i	$-0.213827\pi$
$523$	35.8007			1.56546			0.782729	+	0.622363i	$0.213827\pi$
$524$	−1.43582	+	6.29073i	−0.0627240	+	0.274812i
$525$	−0.775715	−	0.972716i	−0.0338550	−	0.0424528i
$526$	−3.13022	−	13.7144i	−0.136484	−	0.597976i
$527$	−0.831438	−	1.04259i	−0.0362180	−	0.0454159i
$528$	1.95626	−	0.942087i	0.0851355	−	0.0409991i
$529$	4.28373	−	18.7682i	0.186249	−	0.816010i
$530$	−6.67801	+	3.21596i	−0.290074	+	0.139692i
$531$	−20.9795	+	26.3075i	−0.910433	+	1.14165i
$532$	−0.313309	−	1.37270i	−0.0135837	−	0.0595139i
$533$	1.61105	+	7.05845i	0.0697821	+	0.305735i
$534$	−0.741983	−	0.357320i	−0.0321088	−	0.0154628i
$535$	−5.59592	+	7.01706i	−0.241933	+	0.303374i
$536$	4.32072	+	5.41801i	0.186626	+	0.234022i
$537$	2.68384	+	1.29247i	0.115816	+	0.0557742i
$538$	3.06458	+	1.47582i	0.132123	+	0.0636272i
$539$	2.21815	+	2.78147i	0.0955423	+	0.119806i
$540$	1.61786	−	2.02874i	0.0696218	−	0.0873029i
$541$	−18.3080	−	8.81667i	−0.787122	−	0.379058i	−0.00326150	−	0.999995i	$-0.501038\pi$
$541$	−18.3080	−	8.81667i	−0.787122	−	0.379058i	−0.783861	+	0.620937i	$0.786752\pi$
$542$	−4.50883	−	19.7545i	−0.193671	−	0.848527i
$543$	−0.968108	−	4.24156i	−0.0415455	−	0.182023i
$544$	0.363809	−	0.456202i	0.0155982	−	0.0195595i
$545$	2.67602	−	1.28870i	0.114628	−	0.0552019i
$546$	0.599852	−	2.62812i	0.0256713	−	0.112473i
$547$	26.4116	−	12.7192i	1.12928	−	0.543832i	0.226531	−	0.974004i	$-0.427261\pi$
$547$	26.4116	−	12.7192i	1.12928	−	0.543832i	0.902747	+	0.430172i	$0.141547\pi$
$548$	7.24151	+	9.08057i	0.309342	+	0.387903i
$549$	5.10015	+	22.3452i	0.217669	+	0.953670i
$550$	−3.02587	−	3.79432i	−0.129023	−	0.161790i
$551$	0.301419	−	1.32060i	0.0128409	−	0.0562595i
$552$	0.866286			0.0368716
$553$	−22.5381			−0.958416
$554$	6.14318	−	26.9150i	0.260999	−	1.14351i
$555$	1.25671	−	1.57587i	0.0533445	−	0.0668919i
$556$	−18.5771	−	8.94624i	−0.787843	−	0.379405i
$557$	30.6958	−	14.7823i	1.30062	−	0.626347i	0.350016	−	0.936744i	$-0.386176\pi$
$557$	30.6958	−	14.7823i	1.30062	−	0.626347i	0.950607	+	0.310396i	$0.100462\pi$
$558$	6.39864			0.270876
$559$	−13.1909	+	5.27902i	−0.557917	+	0.223279i
$560$	2.78084			0.117512
$561$	−1.14149	+	0.549712i	−0.0481937	+	0.0232089i
$562$	28.0183	+	13.4929i	1.18188	+	0.569163i
$563$	25.0247	−	31.3799i	1.05466	−	1.32251i	0.110194	−	0.993910i	$-0.464853\pi$
$563$	25.0247	−	31.3799i	1.05466	−	1.32251i	0.944470	−	0.328597i	$-0.106576\pi$
$564$	−0.499829	+	2.18990i	−0.0210466	+	0.0922112i
$565$	5.81208			0.244516
$566$	−3.39540			−0.142719
$567$	−4.47918	+	19.6246i	−0.188108	+	0.824155i
$568$	0.495228	+	0.620997i	0.0207793	+	0.0260564i
$569$	−1.76662	−	7.74007i	−0.0740606	−	0.324481i	0.924303	−	0.381659i	$-0.124647\pi$
$569$	−1.76662	−	7.74007i	−0.0740606	−	0.324481i	−0.998364	+	0.0571778i	$0.981790\pi$
$570$	0.141238	+	0.177107i	0.00591582	+	0.00741821i
$571$	28.1475	−	13.5551i	1.17794	−	0.567265i	0.260627	−	0.965439i	$-0.416071\pi$
$571$	28.1475	−	13.5551i	1.17794	−	0.567265i	0.917309	+	0.398175i	$0.130356\pi$
$572$	2.33987	−	10.2516i	0.0978348	−	0.428642i
$573$	6.43932	−	3.10101i	0.269007	−	0.129547i
$574$	−5.79351	+	7.26483i	−0.241817	+	0.303228i
$575$	−0.430859	−	1.88772i	−0.0179681	−	0.0787232i
$576$	0.623021	+	2.72963i	0.0259592	+	0.113735i
$577$	34.4670	+	16.5984i	1.43488	+	0.691001i	0.979898	−	0.199501i	$-0.0639320\pi$
$577$	34.4670	+	16.5984i	1.43488	+	0.691001i	0.454980	+	0.890501i	$0.349646\pi$
$578$	10.3870	−	13.0249i	0.432044	−	0.541766i
$579$	1.01270	+	1.26988i	0.0420863	+	0.0527746i
$580$	2.41037	+	1.16077i	0.100085	+	0.0481984i
$581$	6.37376	+	3.06944i	0.264428	+	0.127342i
$582$	3.32780	+	4.17293i	0.137942	+	0.172973i
$583$	−22.4278	+	28.1236i	−0.928865	+	1.16476i
$584$	9.18285	+	4.42223i	0.379989	+	0.182993i
$585$	−1.34990	−	5.91432i	−0.0558117	−	0.244527i
$586$	−1.79776	−	7.87649i	−0.0742646	−	0.325375i
$587$	−11.3348	+	14.2134i	−0.467838	+	0.586650i	−0.958640	−	0.284621i	$-0.908132\pi$
$587$	−11.3348	+	14.2134i	−0.467838	+	0.586650i	0.490803	+	0.871271i	$0.336704\pi$
$588$	0.295493	−	0.142302i	0.0121859	−	0.00586844i
$589$	−0.257485	+	1.12812i	−0.0106095	+	0.0464833i
$590$	10.8279	−	5.21444i	0.445777	−	0.214675i
$591$	1.32850	+	1.66589i	0.0546473	+	0.0685255i
$592$	1.00249	+	4.39220i	0.0412021	+	0.180518i
$593$	17.1393	+	21.4920i	0.703828	+	0.882572i	0.997303	−	0.0733947i	$-0.0233833\pi$
$593$	17.1393	+	21.4920i	0.703828	+	0.882572i	−0.293475	+	0.955967i	$0.594812\pi$
$594$	2.80223	−	12.2774i	0.114977	−	0.503747i
$595$	−1.62263			−0.0665215
$596$	−18.6599			−0.764338
$597$	1.13128	−	4.95645i	0.0463001	−	0.202854i
$598$	2.61573	−	3.28003i	0.106965	−	0.134130i
$599$	5.27794	+	2.54172i	0.215651	+	0.103852i	0.538591	−	0.842568i	$-0.318957\pi$
$599$	5.27794	+	2.54172i	0.215651	+	0.103852i	−0.322940	+	0.946419i	$0.604671\pi$
$600$	−0.403095	+	0.194120i	−0.0164563	+	0.00792492i
$601$	16.9149			0.689973			0.344986	−	0.938608i	$-0.387884\pi$
$601$	16.9149			0.689973			0.344986	+	0.938608i	$0.387884\pi$
$602$	−15.8527	−	9.01189i	−0.646107	−	0.367297i
$603$	19.4025			0.790132
$604$	20.0372	−	9.64941i	0.815303	−	0.392629i
$605$	−11.3096	−	5.44642i	−0.459801	−	0.221428i
$606$	1.27073	−	1.59345i	0.0516200	−	0.0647294i
$607$	−2.80468	+	12.2881i	−0.113839	+	0.498759i	0.885574	+	0.464498i	$0.153765\pi$
$607$	−2.80468	+	12.2881i	−0.113839	+	0.498759i	−0.999413	+	0.0342616i	$0.989092\pi$
$608$	−0.506321			−0.0205340
$609$	3.32848			0.134877
$610$	1.82159	−	7.98091i	0.0737540	−	0.323138i
$611$	6.78240	+	8.50486i	0.274386	+	0.344070i
$612$	−0.363536	−	1.59275i	−0.0146951	−	0.0643833i
$613$	−15.0944	−	18.9278i	−0.609657	−	0.764485i	0.377192	−	0.926135i	$-0.376890\pi$
$613$	−15.0944	−	18.9278i	−0.609657	−	0.764485i	−0.986848	+	0.161650i	$0.948318\pi$
$614$	−26.0414	+	12.5409i	−1.05095	+	0.506109i
$615$	0.332663	−	1.45749i	0.0134143	−	0.0587718i
$616$	12.1592	−	5.85558i	0.489909	−	0.235928i
$617$	2.17243	−	2.72414i	0.0874588	−	0.109670i	−0.736177	−	0.676789i	$-0.763371\pi$
$617$	2.17243	−	2.72414i	0.0874588	−	0.109670i	0.823636	+	0.567119i	$0.191942\pi$
$618$	−1.04087	−	4.56034i	−0.0418699	−	0.183444i
$619$	−0.640216	−	2.80497i	−0.0257324	−	0.112741i	0.960431	−	0.278519i	$-0.0898436\pi$
$619$	−0.640216	−	2.80497i	−0.0257324	−	0.112741i	−0.986163	+	0.165778i	$0.946986\pi$
$620$	−2.05904	−	0.991583i	−0.0826932	−	0.0398229i
$621$	3.13261	−	3.92817i	0.125707	−	0.157632i
$622$	−8.52202	−	10.6863i	−0.341702	−	0.428481i
$623$	−4.61182	−	2.22094i	−0.184769	−	0.0889800i
$624$	−0.873388	−	0.420601i	−0.0349635	−	0.0168375i
$625$	0.623490	+	0.781831i	0.0249396	+	0.0312733i
$626$	−14.8726	+	18.6496i	−0.594429	+	0.745390i
$627$	0.990498	+	0.476999i	0.0395567	+	0.0190495i
$628$	2.58842	+	11.3406i	0.103289	+	0.452540i
$629$	−0.584958	−	2.56287i	−0.0233238	−	0.102188i
$630$	4.85442	−	6.08725i	0.193405	−	0.242522i
$631$	3.04080	−	1.46437i	0.121053	−	0.0582958i	−0.372377	−	0.928081i	$-0.621457\pi$
$631$	3.04080	−	1.46437i	0.121053	−	0.0582958i	0.493430	+	0.869786i	$0.335743\pi$
$632$	−1.80348	+	7.90157i	−0.0717386	+	0.314308i
$633$	9.14762	−	4.40526i	0.363585	−	0.175093i
$634$	16.9363	+	21.2375i	0.672627	+	0.843447i
$635$	0.394467	+	1.72827i	0.0156540	+	0.0685845i
$636$	2.06759	+	2.59267i	0.0819851	+	0.102806i
$637$	0.353436	−	1.54851i	0.0140037	−	0.0613541i
$638$	12.9836			0.514024
$639$	2.22386			0.0879747
$640$	0.222521	−	0.974928i	0.00879591	−	0.0385374i
$641$	12.1411	−	15.2244i	0.479543	−	0.601328i	−0.481936	−	0.876206i	$-0.660066\pi$
$641$	12.1411	−	15.2244i	0.479543	−	0.601328i	0.961479	+	0.274879i	$0.0886377\pi$
$642$	3.61784	+	1.74226i	0.142785	+	0.0687615i
$643$	−17.3215	+	8.34157i	−0.683092	+	0.328960i	−0.743045	−	0.669242i	$-0.766619\pi$
$643$	−17.3215	+	8.34157i	−0.683092	+	0.328960i	0.0599533	+	0.998201i	$0.480905\pi$
$644$	5.38443			0.212176
$645$	2.92700	+	0.199695i	0.115251	+	0.00786300i
$646$	0.295441			0.0116240
$647$	−2.86553	+	1.37997i	−0.112656	+	0.0542521i	−0.489363	−	0.872080i	$-0.662771\pi$
$647$	−2.86553	+	1.37997i	−0.112656	+	0.0542521i	0.376707	+	0.926332i	$0.377056\pi$
$648$	6.52171	+	3.14069i	0.256197	+	0.123378i
$649$	36.3650	−	45.6003i	1.42745	−	1.78997i
$650$	−0.482138	+	2.11238i	−0.0189110	+	0.0828545i
$651$	−2.84334			−0.111439
$652$	13.6108			0.533042
$653$	8.73327	−	38.2630i	0.341759	−	1.49735i	−0.453599	−	0.891206i	$-0.649860\pi$
$653$	8.73327	−	38.2630i	0.341759	−	1.49735i	0.795358	−	0.606139i	$-0.207283\pi$
$654$	−0.828525	−	1.03894i	−0.0323979	−	0.0406257i
$655$	−1.43582	−	6.29073i	−0.0561020	−	0.245799i
$656$	2.08337	+	2.61246i	0.0813419	+	0.102000i
$657$	25.7104	−	12.3815i	1.00306	−	0.483048i
$658$	−3.10671	+	13.6114i	−0.121112	+	0.530627i
$659$	1.92975	−	0.929320i	0.0751725	−	0.0362012i	−0.395920	−	0.918285i	$-0.629574\pi$
$659$	1.92975	−	0.929320i	0.0751725	−	0.0362012i	0.471092	+	0.882084i	$0.343860\pi$
$660$	−1.35378	+	1.69758i	−0.0526957	+	0.0660783i
$661$	3.79648	+	16.6335i	0.147666	+	0.646966i	0.993530	+	0.113568i	$0.0362281\pi$
$661$	3.79648	+	16.6335i	0.147666	+	0.646966i	−0.845864	+	0.533398i	$0.820915\pi$
$662$	2.68698	+	11.7724i	0.104432	+	0.457548i
$663$	0.509626	+	0.245423i	0.0197922	+	0.00953144i
$664$	1.58613	−	1.98895i	0.0615539	−	0.0771861i
$665$	0.877872	+	1.10082i	0.0340424	+	0.0426878i
$666$	11.3645	+	5.47287i	0.440366	+	0.212069i
$667$	4.66710	+	2.24756i	0.180711	+	0.0870258i
$668$	−6.65814	−	8.34904i	−0.257611	−	0.323034i
$669$	−5.61113	+	7.03613i	−0.216939	+	0.272033i
$670$	−6.24361	−	3.00677i	−0.241212	−	0.116162i
$671$	−8.84039	−	38.7323i	−0.341279	−	1.49524i
$672$	−0.276850	−	1.21296i	−0.0106797	−	0.0467908i
$673$	−21.5371	+	27.0067i	−0.830196	+	1.04103i	0.168274	+	0.985740i	$0.446181\pi$
$673$	−21.5371	+	27.0067i	−0.830196	+	1.04103i	−0.998470	+	0.0552923i	$0.982391\pi$
$674$	9.22746	−	4.44371i	0.355429	−	0.171165i
$675$	−0.577409	+	2.52979i	−0.0222245	+	0.0973718i
$676$	7.48289	−	3.60357i	0.287804	−	0.138599i
$677$	−11.3299	−	14.2073i	−0.435445	−	0.546031i	0.514891	−	0.857255i	$-0.327832\pi$
$677$	−11.3299	−	14.2073i	−0.435445	−	0.546031i	−0.950336	+	0.311225i	$0.899261\pi$
$678$	−0.578628	−	2.53513i	−0.0222221	−	0.0973612i
$679$	20.6840	+	25.9370i	0.793781	+	0.995370i
$680$	−0.129842	+	0.568875i	−0.00497922	+	0.0218154i
$681$	−5.35016			−0.205019
$682$	−11.0911			−0.424702
$683$	2.99306	−	13.1135i	0.114526	−	0.501772i	−0.884831	−	0.465913i	$-0.845726\pi$
$683$	2.99306	−	13.1135i	0.114526	−	0.501772i	0.999357	−	0.0358594i	$-0.0114169\pi$
$684$	−0.883868	+	1.10834i	−0.0337955	+	0.0423783i
$685$	−10.4643	−	5.03933i	−0.399820	−	0.192543i
$686$	−15.7015	+	7.56144i	−0.599486	+	0.288697i
$687$	−0.788851			−0.0300965
$688$	−4.42798	+	4.83663i	−0.168815	+	0.184395i
$689$	16.0597			0.611826
$690$	−0.780497	+	0.375868i	−0.0297130	+	0.0143090i
$691$	28.3575	+	13.6563i	1.07877	+	0.519509i	0.886924	−	0.461916i	$-0.152838\pi$
$691$	28.3575	+	13.6563i	1.07877	+	0.519509i	0.191847	+	0.981425i	$0.438552\pi$
$692$	8.67611	−	10.8795i	0.329816	−	0.413576i
$693$	8.40812	−	36.8384i	0.319398	−	1.39937i
$694$	−6.49307			−0.246474
$695$	20.6190			0.782122
$696$	0.266343	−	1.16692i	0.0100957	−	0.0442322i
$697$	−1.21566	−	1.52438i	−0.0460463	−	0.0577402i
$698$	7.03779	+	30.8346i	0.266384	+	1.16711i
$699$	6.43562	+	8.07002i	0.243418	+	0.305236i
$700$	−2.50545	+	1.20656i	−0.0946971	+	0.0456037i
$701$	8.73100	−	38.2530i	0.329765	−	1.44480i	−0.489812	−	0.871828i	$-0.662935\pi$
$701$	8.73100	−	38.2530i	0.329765	−	1.44480i	0.819577	−	0.572969i	$-0.194208\pi$
$702$	−5.06550	+	2.43942i	−0.191185	+	0.0920699i
$703$	−1.42221	+	1.78340i	−0.0536398	+	0.0672622i
$704$	−1.07992	−	4.73144i	−0.0407010	−	0.178323i
$705$	−0.499829	−	2.18990i	−0.0188247	−	0.0824762i
$706$	18.2488	+	8.78817i	0.686803	+	0.330747i
$707$	7.89828	−	9.90413i	0.297045	−	0.372483i
$708$	−3.35244	−	4.20382i	−0.125992	−	0.157989i
$709$	−13.0162	−	6.26829i	−0.488835	−	0.235410i	0.173196	−	0.984887i	$-0.444591\pi$
$709$	−13.0162	−	6.26829i	−0.488835	−	0.235410i	−0.662030	+	0.749477i	$0.730305\pi$
$710$	−0.715626	−	0.344627i	−0.0268569	−	0.0129336i
$711$	14.1482	+	17.7413i	0.530600	+	0.665352i
$712$	−1.14767	+	1.43913i	−0.0430107	+	0.0539337i
$713$	−3.98685	−	1.91997i	−0.149309	−	0.0719033i
$714$	0.161543	+	0.707766i	0.00604560	+	0.0264875i
$715$	2.33987	+	10.2516i	0.0875061	+	0.383389i
$716$	4.15125	−	5.20551i	0.155140	−	0.194539i
$717$	−4.44760	+	2.14185i	−0.166099	+	0.0799889i
$718$	−7.12951	+	31.2364i	−0.266071	+	1.16573i
$719$	0.749972	−	0.361167i	0.0279692	−	0.0134693i	−0.419847	−	0.907595i	$-0.637916\pi$
$719$	0.749972	−	0.361167i	0.0279692	−	0.0134693i	0.447816	+	0.894126i	$0.352202\pi$
$720$	−1.74567	−	2.18900i	−0.0650572	−	0.0815791i
$721$	−6.46956	−	28.3450i	−0.240939	−	1.05562i
$722$	11.6865	+	14.6544i	0.434925	+	0.545379i
$723$	2.36591	−	10.3657i	0.0879892	−	0.385506i
$724$	−9.72424			−0.361399
$725$	−2.67530			−0.0993583
$726$	−1.24970	+	5.47529i	−0.0463807	+	0.203207i
$727$	20.6916	−	25.9465i	0.767409	−	0.962301i	−0.232538	−	0.972587i	$-0.574703\pi$
$727$	20.6916	−	25.9465i	0.767409	−	0.962301i	0.999947	+	0.0102865i	$0.00327434\pi$
$728$	−5.42857	−	2.61426i	−0.201196	−	0.0968910i
$729$	15.1218	−	7.28227i	0.560066	−	0.269714i
$730$	−10.1922			−0.377230
$731$	2.58375	−	2.82220i	0.0955634	−	0.104383i
$732$	−3.66250			−0.135370
$733$	−22.0375	+	10.6127i	−0.813974	+	0.391989i	−0.794080	−	0.607813i	$-0.792047\pi$
$733$	−22.0375	+	10.6127i	−0.813974	+	0.391989i	−0.0198937	+	0.999802i	$0.506333\pi$
$734$	−22.5882	−	10.8779i	−0.833745	−	0.401510i
$735$	−0.204488	+	0.256419i	−0.00754264	+	0.00945817i
$736$	0.430859	−	1.88772i	0.0158817	−	0.0695821i
$737$	−33.6315			−1.23883
$738$	9.35554			0.344382
$739$	−1.78388	+	7.81567i	−0.0656209	+	0.287504i	−0.997082	−	0.0763367i	$-0.975678\pi$
$739$	−1.78388	+	7.81567i	−0.0656209	+	0.287504i	0.931461	+	0.363841i	$0.118535\pi$
$740$	−2.80892	−	3.52227i	−0.103258	−	0.129481i
$741$	−0.109218	−	0.478515i	−0.00401222	−	0.0175787i
$742$	12.8512	+	16.1148i	0.471781	+	0.591594i
$743$	12.7388	−	6.13468i	0.467341	−	0.225060i	−0.185367	−	0.982669i	$-0.559347\pi$
$743$	12.7388	−	6.13468i	0.467341	−	0.225060i	0.652708	+	0.757610i	$0.273633\pi$
$744$	−0.227522	+	0.996840i	−0.00834137	+	0.0365459i
$745$	16.8120	−	8.09621i	0.615943	−	0.296622i
$746$	−17.6286	+	22.1056i	−0.645429	+	0.809342i
$747$	−1.58494	−	6.94408i	−0.0579900	−	0.254071i
$748$	0.630138	+	2.76082i	0.0230401	+	0.100945i
$749$	22.4868	+	10.8291i	0.821650	+	0.395686i
$750$	0.278950	−	0.349792i	0.0101858	−	0.0127726i
$751$	21.0783	+	26.4313i	0.769156	+	0.964492i	0.999964	−	0.00850789i	$-0.00270818\pi$
$751$	21.0783	+	26.4313i	0.769156	+	0.964492i	−0.230807	+	0.972999i	$0.574137\pi$
$752$	4.52338	+	2.17835i	0.164951	+	0.0794361i
$753$	8.62655	+	4.15433i	0.314369	+	0.151392i
$754$	−3.61412	−	4.53196i	−0.131619	−	0.165044i
$755$	−13.8662	+	17.3876i	−0.504642	+	0.632801i
$756$	−6.50127	−	3.13085i	−0.236449	−	0.113868i
$757$	−2.26908	−	9.94149i	−0.0824711	−	0.361330i	0.916807	−	0.399332i	$-0.130758\pi$
$757$	−2.26908	−	9.94149i	−0.0824711	−	0.361330i	−0.999278	+	0.0380021i	$0.987901\pi$
$758$	−3.20855	−	14.0576i	−0.116540	−	0.510594i
$759$	−2.62127	+	3.28696i	−0.0951460	+	0.119309i
$760$	0.456180	−	0.219685i	0.0165474	−	0.00796880i
$761$	3.85592	−	16.8939i	0.139777	−	0.612403i	−0.855706	−	0.517462i	$-0.826877\pi$
$761$	3.85592	−	16.8939i	0.139777	−	0.612403i	0.995483	−	0.0949406i	$-0.0302661\pi$
$762$	0.714574	−	0.344121i	0.0258863	−	0.0124662i
$763$	−5.14973	−	6.45756i	−0.186433	−	0.233779i
$764$	−3.55471	−	15.5742i	−0.128605	−	0.563455i
$765$	1.01861	+	1.27729i	0.0368277	+	0.0461805i
$766$	−2.92309	+	12.8069i	−0.105616	+	0.462733i
$767$	−26.0396			−0.940235
$768$	−0.447401			−0.0161442
$769$	−7.60941	+	33.3390i	−0.274402	+	1.20223i	0.630355	+	0.776307i	$0.282909\pi$
$769$	−7.60941	+	33.3390i	−0.274402	+	1.20223i	−0.904757	+	0.425928i	$0.859948\pi$
$770$	−8.41445	+	10.5514i	−0.303236	+	0.380245i
$771$	11.3570	+	5.46926i	0.409013	+	0.196971i
$772$	3.27087	−	1.57517i	0.117721	−	0.0566916i
$773$	25.3011			0.910019			0.455009	−	0.890487i	$-0.349636\pi$
$773$	25.3011			0.910019			0.455009	+	0.890487i	$0.349636\pi$
$774$	2.85759	+	18.1360i	0.102714	+	0.651884i
$775$	2.28537			0.0820928
$776$	10.7483	−	5.17611i	0.385842	−	0.185812i
$777$	−5.05001	−	2.43196i	−0.181168	−	0.0872460i
$778$	−14.1041	+	17.6860i	−0.505658	+	0.634075i
$779$	−0.376473	+	1.64944i	−0.0134885	+	0.0590972i
$780$	0.969387			0.0347096
$781$	−3.85475			−0.137934
$782$	−0.251408	+	1.10149i	−0.00899034	+	0.0393893i
$783$	−4.32828	−	5.42749i	−0.154680	−	0.193963i
$784$	−0.163122	−	0.714682i	−0.00582577	−	0.0255244i
$785$	−7.25261	−	9.09448i	−0.258857	−	0.324596i
$786$	−2.60097	+	1.25256i	−0.0927735	+	0.0446774i
$787$	1.63658	−	7.17034i	0.0583379	−	0.255595i	−0.937347	−	0.348398i	$-0.886726\pi$
$787$	1.63658	−	7.17034i	0.0583379	−	0.255595i	0.995684	+	0.0928033i	$0.0295828\pi$
$788$	4.29087	−	2.06638i	0.152856	−	0.0736116i
$789$	3.92402	−	4.92056i	0.139699	−	0.175177i
$790$	−1.80348	−	7.90157i	−0.0641650	−	0.281125i
$791$	−3.59648	−	15.7572i	−0.127876	−	0.560262i
$792$	−12.2423	−	5.89557i	−0.435010	−	0.209490i
$793$	−11.0588	+	13.8673i	−0.392711	+	0.492444i
$794$	−18.5355	−	23.2428i	−0.657802	−	0.824857i
$795$	−2.98775	−	1.43882i	−0.105965	−	0.0510298i
$796$	−10.2379	−	4.93031i	−0.362872	−	0.174750i
$797$	21.1063	+	26.4665i	0.747624	+	0.937490i	0.999542	−	0.0302580i	$-0.00963290\pi$
$797$	21.1063	+	26.4665i	0.747624	+	0.937490i	−0.251918	+	0.967748i	$0.581061\pi$
$798$	0.392761	−	0.492507i	0.0139036	−	0.0174345i
$799$	−2.63942	−	1.27108i	−0.0933759	−	0.0449674i
$800$	0.222521	+	0.974928i	0.00786730	+	0.0344689i
$801$	1.14681	+	5.02449i	0.0405204	+	0.177531i
$802$	−17.8137	+	22.3377i	−0.629024	+	0.788771i
$803$	−44.5654	+	21.4616i	−1.57268	+	0.757363i
$804$	−0.689913	+	3.02271i	−0.0243314	+	0.106603i
$805$	−4.85121	+	2.33622i	−0.170983	+	0.0823409i
$806$	3.08735	+	3.87141i	0.108747	+	0.136365i
$807$	0.338633	+	1.48365i	0.0119204	+	0.0522268i
$808$	−2.84025	−	3.56156i	−0.0999197	−	0.125295i
$809$	−9.20285	+	40.3203i	−0.323555	+	1.41759i	0.507623	+	0.861579i	$0.330524\pi$
$809$	−9.20285	+	40.3203i	−0.323555	+	1.41759i	−0.831178	+	0.556007i	$0.812333\pi$
$810$	−7.23856			−0.254337
$811$	−7.19603			−0.252687			−0.126343	−	0.991987i	$-0.540324\pi$
$811$	−7.19603			−0.252687			−0.126343	+	0.991987i	$0.540324\pi$
$812$	1.65546	−	7.25306i	0.0580954	−	0.254533i
$813$	5.65223	−	7.08767i	0.198232	−	0.248575i
$814$	−19.6988	−	9.48644i	−0.690443	−	0.332500i
$815$	−12.2629	+	5.90552i	−0.429552	+	0.206861i
$816$	0.261061			0.00913896
$817$	−3.31247	−	0.225994i	−0.115889	−	0.00790653i
$818$	20.2405			0.707693
$819$	−15.1991	+	7.31950i	−0.531099	+	0.255764i
$820$	−3.01056	−	1.44981i	−0.105133	−	0.0506295i
$821$	29.9152	−	37.5125i	1.04405	−	1.30920i	0.0945172	−	0.995523i	$-0.469869\pi$
$821$	29.9152	−	37.5125i	1.04405	−	1.30920i	0.949531	−	0.313672i	$-0.101559\pi$
$822$	−1.15629	+	5.06605i	−0.0403303	+	0.176699i
$823$	6.63835			0.231398			0.115699	−	0.993284i	$-0.463089\pi$
$823$	6.63835			0.231398			0.115699	+	0.993284i	$0.463089\pi$
$824$	−10.4551			−0.364220
$825$	0.483157	−	2.11685i	0.0168214	−	0.0736993i
$826$	−20.8372	−	26.1290i	−0.725018	−	0.909144i
$827$	1.16090	+	5.08624i	0.0403685	+	0.176866i	0.991093	−	0.133171i	$-0.0425158\pi$
$827$	1.16090	+	5.08624i	0.0403685	+	0.176866i	−0.950725	+	0.310037i	$0.899659\pi$
$828$	−3.38007	−	4.23847i	−0.117466	−	0.147297i
$829$	33.4057	−	16.0873i	1.16023	−	0.558736i	0.248138	−	0.968725i	$-0.420182\pi$
$829$	33.4057	−	16.0873i	1.16023	−	0.558736i	0.912091	+	0.409988i	$0.134467\pi$
$830$	−0.566084	+	2.48018i	−0.0196491	+	0.0860882i
$831$	11.1283	−	5.35911i	0.386037	−	0.185906i
$832$	−1.35092	+	1.69400i	−0.0468347	+	0.0587289i
$833$	0.0951822	+	0.417020i	0.00329787	+	0.0144489i
$834$	−2.05275	−	8.99366i	−0.0710808	−	0.311425i
$835$	9.62129	+	4.63337i	0.332958	+	0.160344i
$836$	1.53206	−	1.92114i	0.0529874	−	0.0664441i
$837$	3.69741	+	4.63641i	0.127801	+	0.160258i
$838$	34.3740	+	16.5536i	1.18743	+	0.571836i
$839$	9.33932	+	4.49758i	0.322429	+	0.155274i	0.588096	−	0.808791i	$-0.299878\pi$
$839$	9.33932	+	4.49758i	0.322429	+	0.155274i	−0.265667	+	0.964065i	$0.585592\pi$
$840$	0.775715	+	0.972716i	0.0267647	+	0.0335619i
$841$	−13.6187	+	17.0773i	−0.469611	+	0.588874i
$842$	−12.0682	−	5.81173i	−0.415897	−	0.200285i
$843$	3.09599	+	13.5644i	0.106632	+	0.467184i
$844$	−5.04978	−	22.1245i	−0.173820	−	0.761557i
$845$	−5.17832	+	6.49341i	−0.178140	+	0.223380i
$846$	12.6647	−	6.09901i	0.435422	−	0.209688i
$847$	−7.76755	+	34.0319i	−0.266896	+	1.16935i
$848$	6.67801	−	3.21596i	0.229324	−	0.110436i
$849$	−0.947148	−	1.18769i	−0.0325060	−	0.0407613i
$850$	−0.129842	−	0.568875i	−0.00445355	−	0.0195123i
$851$	−5.43880	−	6.82004i	−0.186440	−	0.233788i
$852$	−0.0790759	+	0.346454i	−0.00270910	+	0.0118693i
$853$	−42.5771			−1.45781			−0.728907	−	0.684613i	$-0.759971\pi$
$853$	−42.5771			−1.45781			−0.728907	+	0.684613i	$0.759971\pi$
$854$	−22.7644			−0.778981
$855$	0.315449	−	1.38207i	0.0107881	−	0.0472659i
$856$	5.59592	−	7.01706i	0.191265	−	0.239838i
$857$	−6.71051	−	3.23161i	−0.229227	−	0.110390i	0.315745	−	0.948844i	$-0.397745\pi$
$857$	−6.71051	−	3.23161i	−0.229227	−	0.110390i	−0.544972	+	0.838454i	$0.683460\pi$
$858$	4.23865	−	2.04123i	0.144705	−	0.0696863i
$859$	1.48996			0.0508367			0.0254183	−	0.999677i	$-0.491908\pi$
$859$	1.48996			0.0508367			0.0254183	+	0.999677i	$0.491908\pi$
$860$	1.89094	−	6.27888i	0.0644804	−	0.214108i
$861$	−4.15728			−0.141680
$862$	−1.45884	+	0.702541i	−0.0496883	+	0.0239286i
$863$	3.20968	+	1.54570i	0.109259	+	0.0526162i	0.487715	−	0.873003i	$-0.337831\pi$
$863$	3.20968	+	1.54570i	0.109259	+	0.0526162i	−0.378456	+	0.925619i	$0.623545\pi$
$864$	−1.61786	+	2.02874i	−0.0550408	+	0.0690190i
$865$	−3.09647	+	13.5665i	−0.105283	+	0.461275i
$866$	−9.71864			−0.330253
$867$	7.45349			0.253134
$868$	−1.41417	+	6.19589i	−0.0480001	+	0.210302i
$869$	−24.5240	−	30.7521i	−0.831919	−	1.04319i
$870$	0.266343	+	1.16692i	0.00902987	+	0.0395625i
$871$	9.36172	+	11.7392i	0.317210	+	0.397769i
$872$	−2.67602	+	1.28870i	−0.0906214	+	0.0436410i
$873$	7.43247	−	32.5638i	0.251551	−	1.10212i
$874$	0.883283	−	0.425367i	0.0298775	−	0.0143883i
$875$	1.73382	−	2.17415i	0.0586140	−	0.0734996i
$876$	1.01470	+	4.44567i	0.0342834	+	0.150205i
$877$	4.61590	+	20.2236i	0.155868	+	0.682901i	0.991113	+	0.133023i	$0.0424685\pi$
$877$	4.61590	+	20.2236i	0.155868	+	0.682901i	−0.835245	+	0.549878i	$0.814674\pi$
$878$	−7.08973	−	3.41424i	−0.239267	−	0.115225i
$879$	2.25365	−	2.82599i	0.0760137	−	0.0953182i
$880$	3.02587	+	3.79432i	0.102002	+	0.127906i
$881$	−50.4614	−	24.3009i	−1.70009	−	0.818719i	−0.993849	−	0.110747i	$-0.964676\pi$
$881$	−50.4614	−	24.3009i	−1.70009	−	0.818719i	−0.706240	−	0.707973i	$-0.749610\pi$
$882$	−1.84919	−	0.890524i	−0.0622656	−	0.0299855i
$883$	−12.1782	−	15.2710i	−0.409830	−	0.513910i	0.533485	−	0.845809i	$-0.320882\pi$
$883$	−12.1782	−	15.2710i	−0.409830	−	0.513910i	−0.943315	+	0.331899i	$0.892311\pi$
$884$	0.788268	−	0.988457i	0.0265123	−	0.0332454i
$885$	4.84441	+	2.33295i	0.162843	+	0.0784211i
$886$	3.85396	+	16.8853i	0.129476	+	0.567273i
$887$	−5.14683	−	22.5497i	−0.172814	−	0.757146i	−0.984831	−	0.173514i	$-0.944488\pi$
$887$	−5.14683	−	22.5497i	−0.172814	−	0.757146i	0.812018	−	0.583633i	$-0.198369\pi$
$888$	−1.25671	+	1.57587i	−0.0421725	+	0.0528827i
$889$	4.44146	−	2.13889i	0.148962	−	0.0717362i
$890$	0.409598	−	1.79457i	0.0137298	−	0.0601540i
$891$	−31.6506	+	15.2421i	−1.06034	+	0.510631i
$892$	12.5416	+	15.7267i	0.419924	+	0.526568i
$893$	0.565654	+	2.47829i	0.0189289	+	0.0829328i
$894$	−5.20517	−	6.52708i	−0.174087	−	0.218298i
$895$	−1.48157	+	6.49116i	−0.0495233	+	0.216976i
$896$	−2.78084			−0.0929013
$897$	1.87699			0.0626708
$898$	1.66997	−	7.31663i	0.0557277	−	0.244159i
$899$	−3.81205	+	4.78016i	−0.127139	+	0.159427i
$900$	2.52256	+	1.21480i	0.0840854	+	0.0404934i
$901$	−3.89665	+	1.87653i	−0.129816	+	0.0625162i
$902$	−16.2165			−0.539951
$903$	−1.26982	−	8.05901i	−0.0422568	−	0.268187i
$904$	−5.81208			−0.193307
$905$	8.76124	−	4.21919i	0.291233	−	0.140251i
$906$	8.96467	+	4.31716i	0.297831	+	0.143428i
$907$	9.87614	−	12.3843i	0.327932	−	0.411213i	−0.590346	−	0.807150i	$-0.701009\pi$
$907$	9.87614	−	12.3843i	0.327932	−	0.411213i	0.918278	+	0.395937i	$0.129580\pi$
$908$	−2.66097	+	11.6585i	−0.0883075	+	0.386900i
$909$	−12.7544			−0.423036
$910$	6.02526			0.199735
$911$	−8.99086	+	39.3915i	−0.297880	+	1.30510i	0.575396	+	0.817875i	$0.304848\pi$
$911$	−8.99086	+	39.3915i	−0.297880	+	1.30510i	−0.873277	+	0.487225i	$0.838009\pi$
$912$	−0.141238	−	0.177107i	−0.00467687	−	0.00586461i
$913$	2.74727	+	12.0366i	0.0909214	+	0.398353i
$914$	−9.64849	−	12.0988i	−0.319144	−	0.400194i
$915$	3.29979	−	1.58910i	0.109088	−	0.0525339i
$916$	−0.392346	+	1.71898i	−0.0129635	+	0.0567966i
$917$	−16.1664	+	7.78534i	−0.533862	+	0.257095i
$918$	0.944031	−	1.18378i	0.0311577	−	0.0390705i
$919$	−9.85350	−	43.1710i	−0.325037	−	1.42408i	−0.828464	−	0.560042i	$-0.810785\pi$
$919$	−9.85350	−	43.1710i	−0.325037	−	1.42408i	0.503427	−	0.864038i	$-0.332072\pi$
$920$	0.430859	+	1.88772i	0.0142050	+	0.0622362i
$921$	−11.6510	−	5.61081i	−0.383912	−	0.184882i
$922$	−23.5484	+	29.5287i	−0.775524	+	0.972476i
$923$	1.07301	+	1.34552i	0.0353187	+	0.0442882i
$924$	5.44005	+	2.61979i	0.178965	+	0.0861848i
$925$	4.05900	+	1.95471i	0.133459	+	0.0642706i
$926$	4.53669	+	5.68883i	0.149085	+	0.186947i
$927$	−18.2511	+	22.8862i	−0.599445	+	0.751680i
$928$	−2.41037	−	1.16077i	−0.0791241	−	0.0381042i
$929$	−3.33951	−	14.6313i	−0.109566	−	0.480038i	−0.999704	−	0.0243472i	$-0.992249\pi$
$929$	−3.33951	−	14.6313i	−0.109566	−	0.480038i	0.890138	−	0.455691i	$-0.150608\pi$
$930$	−0.227522	−	0.996840i	−0.00746075	−	0.0326877i
$931$	0.231417	−	0.290188i	0.00758440	−	0.00951053i
$932$	20.7861	−	10.0101i	0.680873	−	0.327891i
$933$	1.36076	−	5.96188i	0.0445493	−	0.195183i
$934$	−19.7791	+	9.52509i	−0.647190	+	0.311670i
$935$	−1.76561	−	2.21400i	−0.0577416	−	0.0724056i
$936$	1.34990	+	5.91432i	0.0441230	+	0.193315i
$937$	−0.0197776	−	0.0248004i	−0.000646107	−	0.000810192i	0.781508	−	0.623895i	$-0.214451\pi$
$937$	−0.0197776	−	0.0248004i	−0.000646107	−	0.000810192i	−0.782154	+	0.623085i	$0.785879\pi$
$938$	−4.28818	+	18.7877i	−0.140014	+	0.613441i
$939$	−10.6722			−0.348275
$940$	−5.02058			−0.163753
$941$	5.75630	−	25.2200i	0.187650	−	0.822148i	−0.790201	−	0.612847i	$-0.790024\pi$
$941$	5.75630	−	25.2200i	0.187650	−	0.822148i	0.977851	−	0.209301i	$-0.0671188\pi$
$942$	−3.24482	+	4.06888i	−0.105722	+	0.132571i
$943$	−5.82923	−	2.80721i	−0.189826	−	0.0914152i
$944$	−10.8279	+	5.21444i	−0.352418	+	0.169715i
$945$	7.21586			0.234732
$946$	−4.95323	−	31.4362i	−0.161043	−	1.02208i
$947$	−55.2280			−1.79467			−0.897334	−	0.441353i	$-0.854499\pi$
$947$	−55.2280			−1.79467			−0.897334	+	0.441353i	$0.854499\pi$
$948$	−3.26699	+	1.57330i	−0.106107	+	0.0510984i
$949$	19.8965	+	9.58167i	0.645869	+	0.311034i
$950$	−0.315686	+	0.395858i	−0.0102422	+	0.0128433i
$951$	−2.70432	+	11.8484i	−0.0876934	+	0.384210i
$952$	1.62263			0.0525898
$953$	−17.9593			−0.581758			−0.290879	−	0.956760i	$-0.593948\pi$
$953$	−17.9593			−0.581758			−0.290879	+	0.956760i	$0.593948\pi$
$954$	4.61785	−	20.2321i	0.149508	−	0.655039i
$955$	9.96007	+	12.4895i	0.322300	+	0.404152i
$956$	2.45522	+	10.7570i	0.0794074	+	0.347906i
$957$	3.62176	+	4.54155i	0.117075	+	0.146807i
$958$	−28.1640	+	13.5631i	−0.909938	+	0.438203i
$959$	−7.18698	+	31.4882i	−0.232080	+	1.01681i
$960$	0.403095	−	0.194120i	0.0130098	−	0.00626520i
$961$	−16.0718	+	20.1533i	−0.518444	+	0.650108i
$962$	2.17210	+	9.51661i	0.0700314	+	0.306828i
$963$	−5.59172	−	24.4989i	−0.180191	−	0.789466i
$964$	−21.4112	−	10.3111i	−0.689607	−	0.332097i
$965$	−2.26351	+	2.83836i	−0.0728651	+	0.0913699i
$966$	1.50199	+	1.88343i	0.0483257	+	0.0605985i
$967$	30.7687	+	14.8174i	0.989456	+	0.476497i	0.857347	−	0.514738i	$-0.172111\pi$
$967$	30.7687	+	14.8174i	0.989456	+	0.476497i	0.132109	+	0.991235i	$0.457825\pi$
$968$	11.3096	+	5.44642i	0.363504	+	0.175055i
$969$	0.0824133	+	0.103343i	0.00264750	+	0.00331985i
$970$	−7.43806	+	9.32703i	−0.238822	+	0.299473i
$971$	−51.3202	−	24.7145i	−1.64694	−	0.793126i	−0.999519	−	0.0309969i	$-0.990132\pi$
$971$	−51.3202	−	24.7145i	−1.64694	−	0.793126i	−0.647425	−	0.762130i	$-0.724154\pi$
$972$	2.45287	+	10.7467i	0.0786758	+	0.344701i
$973$	−12.7589	−	55.9004i	−0.409032	−	1.79209i
$974$	20.8350	−	26.1263i	0.667597	−	0.837141i
$975$	−0.873388	+	0.420601i	−0.0279708	+	0.0134700i
$976$	−1.82159	+	7.98091i	−0.0583077	+	0.255463i
$977$	−11.1638	+	5.37619i	−0.357161	+	0.171999i	−0.603856	−	0.797094i	$-0.706370\pi$
$977$	−11.1638	+	5.37619i	−0.357161	+	0.171999i	0.246695	+	0.969093i	$0.420655\pi$
$978$	3.79674	+	4.76097i	0.121407	+	0.152239i
$979$	−1.98783	−	8.70924i	−0.0635312	−	0.278348i
$980$	0.457056	+	0.573131i	0.0146001	+	0.0183080i
$981$	−1.85047	+	8.10744i	−0.0590810	+	0.258851i
$982$	24.5035			0.781938
$983$	−5.45184			−0.173887			−0.0869434	−	0.996213i	$-0.527710\pi$
$983$	−5.45184			−0.173887			−0.0869434	+	0.996213i	$0.527710\pi$
$984$	−0.332663	+	1.45749i	−0.0106049	+	0.0464632i
$985$	−2.96938	+	3.72348i	−0.0946122	+	0.118640i
$986$	1.40646	+	0.677316i	0.0447908	+	0.0215701i
$987$	−5.62777	+	2.71019i	−0.179134	+	0.0862664i
$988$	−1.09705			−0.0349018
$989$	3.66135	−	12.1576i	0.116424	−	0.386588i
$990$	13.5879			0.431852
$991$	38.0811	−	18.3389i	1.20968	−	0.582553i	0.283263	−	0.959042i	$-0.408583\pi$
$991$	38.0811	−	18.3389i	1.20968	−	0.582553i	0.926421	+	0.376489i	$0.122869\pi$
$992$	2.05904	+	0.991583i	0.0653747	+	0.0314828i
$993$	−3.36837	+	4.22380i	−0.106892	+	0.134038i
$994$	−0.491499	+	2.15340i	−0.0155894	+	0.0683016i
$995$	11.3632			0.360238
$996$	1.13817			0.0360643
$997$	−0.539373	+	2.36315i	−0.0170821	+	0.0748417i	−0.982751	−	0.184936i	$-0.940792\pi$
$997$	−0.539373	+	2.36315i	−0.0170821	+	0.0748417i	0.965668	+	0.259778i	$0.0836493\pi$
$998$	−8.97855	−	11.2587i	−0.284211	−	0.356389i
$999$	2.60132	+	11.3971i	0.0823020	+	0.360588i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	430.2.k.c.41.2	yes	18
43.21	even	7	inner	430.2.k.c.21.2	✓	18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
430.2.k.c.21.2	✓	18	43.21	even	7	inner
430.2.k.c.41.2	yes	18	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 430 = 2 \cdot 5 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	430.k (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.900969 - 0.433884i) q^{2} +(0.403095 + 0.194120i) q^{3} +(0.623490 - 0.781831i) q^{4} +(-0.222521 + 0.974928i) q^{5} +0.447401 q^{6} +2.78084 q^{7} +(0.222521 - 0.974928i) q^{8} +(-1.74567 - 2.18900i) q^{9} +O(q^{10})\)	\(q+(0.900969 - 0.433884i) q^{2} +(0.403095 + 0.194120i) q^{3} +(0.623490 - 0.781831i) q^{4} +(-0.222521 + 0.974928i) q^{5} +0.447401 q^{6} +2.78084 q^{7} +(0.222521 - 0.974928i) q^{8} +(-1.74567 - 2.18900i) q^{9} +(0.222521 + 0.974928i) q^{10} +(3.02587 + 3.79432i) q^{11} +(0.403095 - 0.194120i) q^{12} +(0.482138 - 2.11238i) q^{13} +(2.50545 - 1.20656i) q^{14} +(-0.278950 + 0.349792i) q^{15} +(-0.222521 - 0.974928i) q^{16} +(0.129842 + 0.568875i) q^{17} +(-2.52256 - 1.21480i) q^{18} +(0.315686 - 0.395858i) q^{19} +(0.623490 + 0.781831i) q^{20} +(1.12094 + 0.539817i) q^{21} +(4.37250 + 2.10569i) q^{22} +(1.20724 + 1.51383i) q^{23} +(0.278950 - 0.349792i) q^{24} +(-0.900969 - 0.433884i) q^{25} +(-0.482138 - 2.11238i) q^{26} +(-0.577409 - 2.52979i) q^{27} +(1.73382 - 2.17415i) q^{28} +(2.41037 - 1.16077i) q^{29} +(-0.0995561 + 0.436184i) q^{30} +(-2.05904 + 0.991583i) q^{31} +(-0.623490 - 0.781831i) q^{32} +(0.483157 + 2.11685i) q^{33} +(0.363809 + 0.456202i) q^{34} +(-0.618795 + 2.71112i) q^{35} -2.79983 q^{36} -4.50515 q^{37} +(0.112667 - 0.493627i) q^{38} +(0.604403 - 0.757897i) q^{39} +(0.900969 + 0.433884i) q^{40} +(-3.01056 + 1.44981i) q^{41} +1.24415 q^{42} +(-3.73005 - 5.39321i) q^{43} +4.85311 q^{44} +(2.52256 - 1.21480i) q^{45} +(1.74451 + 0.840113i) q^{46} +(-3.13028 + 3.92525i) q^{47} +(0.0995561 - 0.436184i) q^{48} +0.733062 q^{49} -1.00000 q^{50} +(-0.0580915 + 0.254515i) q^{51} +(-1.35092 - 1.69400i) q^{52} +(1.64933 + 7.22619i) q^{53} +(-1.61786 - 2.02874i) q^{54} +(-4.37250 + 2.10569i) q^{55} +(0.618795 - 2.71112i) q^{56} +(0.204095 - 0.0982871i) q^{57} +(1.66803 - 2.09164i) q^{58} +(-2.67427 - 11.7167i) q^{59} +(0.0995561 + 0.436184i) q^{60} +(-7.37547 - 3.55184i) q^{61} +(-1.42490 + 1.78677i) q^{62} +(-4.85442 - 6.08725i) q^{63} +(-0.900969 - 0.433884i) q^{64} +(1.95214 + 0.940099i) q^{65} +(1.35378 + 1.69758i) q^{66} +(-4.32072 + 5.41801i) q^{67} +(0.525720 + 0.253173i) q^{68} +(0.192767 + 0.844567i) q^{69} +(0.618795 + 2.71112i) q^{70} +(-0.495228 + 0.620997i) q^{71} +(-2.52256 + 1.21480i) q^{72} +(-2.26798 + 9.93666i) q^{73} +(-4.05900 + 1.95471i) q^{74} +(-0.278950 - 0.349792i) q^{75} +(-0.112667 - 0.493627i) q^{76} +(8.41445 + 10.5514i) q^{77} +(0.215709 - 0.945083i) q^{78} -8.10477 q^{79} +1.00000 q^{80} +(-1.61073 + 7.05707i) q^{81} +(-2.08337 + 2.61246i) q^{82} +(2.29203 + 1.10378i) q^{83} +(1.12094 - 0.539817i) q^{84} -0.583505 q^{85} +(-5.70068 - 3.24071i) q^{86} +1.19693 q^{87} +(4.37250 - 2.10569i) q^{88} +(-1.65843 - 0.798657i) q^{89} +(1.74567 - 2.18900i) q^{90} +(1.34075 - 5.87419i) q^{91} +1.93626 q^{92} -1.02248 q^{93} +(-1.11718 + 4.89470i) q^{94} +(0.315686 + 0.395858i) q^{95} +(-0.0995561 - 0.436184i) q^{96} +(7.43806 + 9.32703i) q^{97} +(0.660466 - 0.318063i) q^{98} +(3.02359 - 13.2472i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 18 q + 3 q^{2} + 5 q^{3} - 3 q^{4} - 3 q^{5} + 2 q^{6} + 8 q^{7} + 3 q^{8} - 6 q^{9}+O(q^{10}) \) 18 * q + 3 * q^2 + 5 * q^3 - 3 * q^4 - 3 * q^5 + 2 * q^6 + 8 * q^7 + 3 * q^8 - 6 * q^9	\( 18 q + 3 q^{2} + 5 q^{3} - 3 q^{4} - 3 q^{5} + 2 q^{6} + 8 q^{7} + 3 q^{8} - 6 q^{9} + 3 q^{10} + 5 q^{11} + 5 q^{12} + 22 q^{13} - 8 q^{14} - 2 q^{15} - 3 q^{16} + q^{17} + 13 q^{18} - 7 q^{19} - 3 q^{20} + 10 q^{21} - 5 q^{22} + 8 q^{23} + 2 q^{24} - 3 q^{25} - 22 q^{26} + 20 q^{27} + q^{28} - 6 q^{29} + 2 q^{30} - 5 q^{31} + 3 q^{32} + 39 q^{33} - q^{34} - 13 q^{35} + 8 q^{36} - 18 q^{37} - 7 q^{39} + 3 q^{40} + 16 q^{41} + 4 q^{42} - 13 q^{43} - 2 q^{44} - 13 q^{45} - 8 q^{46} - 36 q^{47} - 2 q^{48} - 14 q^{49} - 18 q^{50} - 30 q^{51} - 20 q^{52} - 18 q^{53} + 29 q^{54} + 5 q^{55} + 13 q^{56} + 29 q^{57} - 8 q^{58} - 4 q^{59} - 2 q^{60} + 42 q^{61} - 2 q^{62} - 29 q^{63} - 3 q^{64} + 8 q^{65} + 24 q^{66} - 19 q^{67} + q^{68} - 51 q^{69} + 13 q^{70} - 27 q^{71} + 13 q^{72} + 28 q^{73} + 4 q^{74} - 2 q^{75} + 42 q^{77} - 35 q^{78} - 26 q^{79} + 18 q^{80} - 4 q^{81} + 19 q^{82} + 62 q^{83} + 10 q^{84} - 6 q^{85} - 15 q^{86} - 66 q^{87} - 5 q^{88} - 12 q^{89} + 6 q^{90} - 22 q^{91} - 20 q^{92} - 6 q^{93} - 6 q^{94} - 7 q^{95} + 2 q^{96} + 71 q^{97} - 28 q^{98} + 59 q^{99}+O(q^{100}) \) 18 * q + 3 * q^2 + 5 * q^3 - 3 * q^4 - 3 * q^5 + 2 * q^6 + 8 * q^7 + 3 * q^8 - 6 * q^9 + 3 * q^10 + 5 * q^11 + 5 * q^12 + 22 * q^13 - 8 * q^14 - 2 * q^15 - 3 * q^16 + q^17 + 13 * q^18 - 7 * q^19 - 3 * q^20 + 10 * q^21 - 5 * q^22 + 8 * q^23 + 2 * q^24 - 3 * q^25 - 22 * q^26 + 20 * q^27 + q^28 - 6 * q^29 + 2 * q^30 - 5 * q^31 + 3 * q^32 + 39 * q^33 - q^34 - 13 * q^35 + 8 * q^36 - 18 * q^37 - 7 * q^39 + 3 * q^40 + 16 * q^41 + 4 * q^42 - 13 * q^43 - 2 * q^44 - 13 * q^45 - 8 * q^46 - 36 * q^47 - 2 * q^48 - 14 * q^49 - 18 * q^50 - 30 * q^51 - 20 * q^52 - 18 * q^53 + 29 * q^54 + 5 * q^55 + 13 * q^56 + 29 * q^57 - 8 * q^58 - 4 * q^59 - 2 * q^60 + 42 * q^61 - 2 * q^62 - 29 * q^63 - 3 * q^64 + 8 * q^65 + 24 * q^66 - 19 * q^67 + q^68 - 51 * q^69 + 13 * q^70 - 27 * q^71 + 13 * q^72 + 28 * q^73 + 4 * q^74 - 2 * q^75 + 42 * q^77 - 35 * q^78 - 26 * q^79 + 18 * q^80 - 4 * q^81 + 19 * q^82 + 62 * q^83 + 10 * q^84 - 6 * q^85 - 15 * q^86 - 66 * q^87 - 5 * q^88 - 12 * q^89 + 6 * q^90 - 22 * q^91 - 20 * q^92 - 6 * q^93 - 6 * q^94 - 7 * q^95 + 2 * q^96 + 71 * q^97 - 28 * q^98 + 59 * q^99

Introduction

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