LMFDB - Embedded newform 430.2.k.c.391.2

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			391.2
Root			$0.219976 + 0.275841i$ of defining polynomial
Character	$\chi$	$=$	430.391
Dual form			430.2.k.c.11.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.623490 + 0.781831i) q^{2} +(0.219976 + 0.275841i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(-0.900969 - 0.433884i) q^{5} -0.352814 q^{6} -0.963199 q^{7} +(0.900969 + 0.433884i) q^{8} +(0.639864 - 2.80343i) q^{9} +O(q^{10})$	\(q+(-0.623490 + 0.781831i) q^{2} +(0.219976 + 0.275841i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(-0.900969 - 0.433884i) q^{5} -0.352814 q^{6} -0.963199 q^{7} +(0.900969 + 0.433884i) q^{8} +(0.639864 - 2.80343i) q^{9} +(0.900969 - 0.433884i) q^{10} +(-1.02677 + 4.49857i) q^{11} +(0.219976 - 0.275841i) q^{12} +(6.19312 + 2.98245i) q^{13} +(0.600545 - 0.753059i) q^{14} +(-0.0785084 - 0.343968i) q^{15} +(-0.900969 + 0.433884i) q^{16} +(4.07951 - 1.96459i) q^{17} +(1.79286 + 2.24817i) q^{18} +(1.85931 + 8.14618i) q^{19} +(-0.222521 + 0.974928i) q^{20} +(-0.211880 - 0.265690i) q^{21} +(-2.87694 - 3.60757i) q^{22} +(0.716877 - 3.14084i) q^{23} +(0.0785084 + 0.343968i) q^{24} +(0.623490 + 0.781831i) q^{25} +(-6.19312 + 2.98245i) q^{26} +(1.86768 - 0.899426i) q^{27} +(0.214332 + 0.939050i) q^{28} +(-1.11711 + 1.40082i) q^{29} +(0.317874 + 0.153080i) q^{30} +(1.47981 - 1.85562i) q^{31} +(0.222521 - 0.974928i) q^{32} +(-1.46675 + 0.706351i) q^{33} +(-1.00756 + 4.41439i) q^{34} +(0.867812 + 0.417916i) q^{35} -2.87552 q^{36} +6.85973 q^{37} +(-7.52820 - 3.62539i) q^{38} +(0.539655 + 2.36438i) q^{39} +(-0.623490 - 0.781831i) q^{40} +(-0.155471 + 0.194955i) q^{41} +0.339830 q^{42} +(-1.13990 + 6.45760i) q^{43} +4.61426 q^{44} +(-1.79286 + 2.24817i) q^{45} +(2.00865 + 2.51876i) q^{46} +(-1.40678 - 6.16351i) q^{47} +(-0.317874 - 0.153080i) q^{48} -6.07225 q^{49} -1.00000 q^{50} +(1.43931 + 0.693134i) q^{51} +(1.52958 - 6.70151i) q^{52} +(-4.82042 + 2.32139i) q^{53} +(-0.461278 + 2.02099i) q^{54} +(2.87694 - 3.60757i) q^{55} +(-0.867812 - 0.417916i) q^{56} +(-1.83805 + 2.30484i) q^{57} +(-0.398693 - 1.74679i) q^{58} +(0.932316 - 0.448980i) q^{59} +(-0.317874 + 0.153080i) q^{60} +(2.49108 + 3.12371i) q^{61} +(0.528137 + 2.31392i) q^{62} +(-0.616316 + 2.70026i) q^{63} +(0.623490 + 0.781831i) q^{64} +(-4.28577 - 5.37419i) q^{65} +(0.362258 - 1.58716i) q^{66} +(-1.51072 - 6.61888i) q^{67} +(-2.82311 - 3.54007i) q^{68} +(1.02407 - 0.493166i) q^{69} +(-0.867812 + 0.417916i) q^{70} +(1.04558 + 4.58097i) q^{71} +(1.79286 - 2.24817i) q^{72} +(7.61275 + 3.66611i) q^{73} +(-4.27697 + 5.36315i) q^{74} +(-0.0785084 + 0.343968i) q^{75} +(7.52820 - 3.62539i) q^{76} +(0.988983 - 4.33302i) q^{77} +(-2.18502 - 1.05225i) q^{78} -3.07755 q^{79} +1.00000 q^{80} +(-7.11333 - 3.42560i) q^{81} +(-0.0554871 - 0.243105i) q^{82} +(2.23476 + 2.80229i) q^{83} +(-0.211880 + 0.265690i) q^{84} -4.52792 q^{85} +(-4.33804 - 4.91746i) q^{86} -0.632140 q^{87} +(-2.87694 + 3.60757i) q^{88} +(-6.19153 - 7.76393i) q^{89} +(-0.639864 - 2.80343i) q^{90} +(-5.96521 - 2.87269i) q^{91} -3.22162 q^{92} +0.837377 q^{93} +(5.69594 + 2.74302i) q^{94} +(1.85931 - 8.14618i) q^{95} +(0.317874 - 0.153080i) q^{96} +(1.88431 - 8.25568i) q^{97} +(3.78598 - 4.74747i) q^{98} +(11.9544 + 5.75694i) 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 $\left(\mathbb{Z}/430\mathbb{Z}\right)^\times$.

$n$	$87$	$261$
$\chi(n)$	$1$	$e\left(\frac{2}{7}\right)$

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 $

$2$	−0.623490	+	0.781831i	−0.440874	+	0.552838i
$2$	−0.623490	+	0.781831i	−0.440874	+	0.552838i
$3$	0.219976	+	0.275841i	0.127003	+	0.159257i	0.841267	−	0.540619i	$-0.181810\pi$
$3$	0.219976	+	0.275841i	0.127003	+	0.159257i	−0.714264	+	0.699876i	$0.753239\pi$
$4$	−0.222521	−	0.974928i	−0.111260	−	0.487464i
$5$	−0.900969	−	0.433884i	−0.402926	−	0.194039i
$5$	−0.900969	−	0.433884i	−0.402926	−	0.194039i
$6$	−0.352814			−0.144036
$7$	−0.963199			−0.364055			−0.182028	−	0.983293i	$-0.558266\pi$
$7$	−0.963199			−0.364055			−0.182028	+	0.983293i	$0.558266\pi$
$8$	0.900969	+	0.433884i	0.318541	+	0.153401i
$9$	0.639864	−	2.80343i	0.213288	−	0.934476i
$10$	0.900969	−	0.433884i	0.284911	−	0.137206i
$11$	−1.02677	+	4.49857i	−0.309583	+	1.35637i	0.545601	+	0.838045i	$0.316301\pi$
$11$	−1.02677	+	4.49857i	−0.309583	+	1.35637i	−0.855184	+	0.518325i	$0.826556\pi$
$12$	0.219976	−	0.275841i	0.0635015	−	0.0796284i
$13$	6.19312	+	2.98245i	1.71766	+	0.827183i	0.989970	+	0.141281i	$0.0451220\pi$
$13$	6.19312	+	2.98245i	1.71766	+	0.827183i	0.727694	+	0.685902i	$0.240592\pi$
$14$	0.600545	−	0.753059i	0.160502	−	0.201264i
$15$	−0.0785084	−	0.343968i	−0.0202708	−	0.0888121i
$16$	−0.900969	+	0.433884i	−0.225242	+	0.108471i
$17$	4.07951	−	1.96459i	0.989427	−	0.476483i	0.132090	−	0.991238i	$-0.457831\pi$
$17$	4.07951	−	1.96459i	0.989427	−	0.476483i	0.857338	+	0.514755i	$0.172117\pi$
$18$	1.79286	+	2.24817i	0.422581	+	0.529900i
$19$	1.85931	+	8.14618i	0.426555	+	1.86886i	0.491349	+	0.870963i	$0.336504\pi$
$19$	1.85931	+	8.14618i	0.426555	+	1.86886i	−0.0647931	+	0.997899i	$0.520639\pi$
$20$	−0.222521	+	0.974928i	−0.0497572	+	0.218001i
$21$	−0.211880	−	0.265690i	−0.0462361	−	0.0579782i
$22$	−2.87694	−	3.60757i	−0.613366	−	0.769137i
$23$	0.716877	−	3.14084i	0.149479	−	0.654911i	−0.843551	−	0.537049i	$-0.819539\pi$
$23$	0.716877	−	3.14084i	0.149479	−	0.654911i	0.993030	−	0.117862i	$-0.0376040\pi$
$24$	0.0785084	+	0.343968i	0.0160255	+	0.0702122i
$25$	0.623490	+	0.781831i	0.124698	+	0.156366i
$26$	−6.19312	+	2.98245i	−1.21457	+	0.584907i
$27$	1.86768	−	0.899426i	0.359435	−	0.173095i
$28$	0.214332	+	0.939050i	0.0405049	+	0.177464i
$29$	−1.11711	+	1.40082i	−0.207443	+	0.260125i	−0.874659	−	0.484739i	$-0.838914\pi$
$29$	−1.11711	+	1.40082i	−0.207443	+	0.260125i	0.667216	+	0.744864i	$0.267486\pi$
$30$	0.317874	+	0.153080i	0.0580356	+	0.0279485i
$31$	1.47981	−	1.85562i	0.265781	−	0.333279i	−0.630976	−	0.775802i	$-0.717345\pi$
$31$	1.47981	−	1.85562i	0.265781	−	0.333279i	0.896757	+	0.442524i	$0.145917\pi$
$32$	0.222521	−	0.974928i	0.0393365	−	0.172345i
$33$	−1.46675	+	0.706351i	−0.255329	+	0.122960i
$34$	−1.00756	+	4.41439i	−0.172795	+	0.757062i
$35$	0.867812	+	0.417916i	0.146687	+	0.0706408i
$36$	−2.87552			−0.479254
$37$	6.85973			1.12773			0.563866	−	0.825866i	$-0.309313\pi$
$37$	6.85973			1.12773			0.563866	+	0.825866i	$0.309313\pi$
$38$	−7.52820	−	3.62539i	−1.22124	−	0.588116i
$39$	0.539655	+	2.36438i	0.0864140	+	0.378604i
$40$	−0.623490	−	0.781831i	−0.0985824	−	0.123618i
$41$	−0.155471	+	0.194955i	−0.0242805	+	0.0304468i	−0.793824	−	0.608148i	$-0.791913\pi$
$41$	−0.155471	+	0.194955i	−0.0242805	+	0.0304468i	0.769543	+	0.638595i	$0.220484\pi$
$42$	0.339830			0.0524369
$43$	−1.13990	+	6.45760i	−0.173834	+	0.984775i
$43$	−1.13990	+	6.45760i	−0.173834	+	0.984775i
$44$	4.61426			0.695626
$45$	−1.79286	+	2.24817i	−0.267264	+	0.335138i
$46$	2.00865	+	2.51876i	0.296159	+	0.371371i
$47$	−1.40678	−	6.16351i	−0.205200	−	0.899040i	−0.967711	−	0.252064i	$-0.918891\pi$
$47$	−1.40678	−	6.16351i	−0.205200	−	0.899040i	0.762511	−	0.646976i	$-0.223967\pi$
$48$	−0.317874	−	0.153080i	−0.0458812	−	0.0220952i
$49$	−6.07225			−0.867464
$50$	−1.00000			−0.141421
$51$	1.43931	+	0.693134i	0.201543	+	0.0970582i
$52$	1.52958	−	6.70151i	0.212114	−	0.929332i
$53$	−4.82042	+	2.32139i	−0.662136	+	0.318868i	−0.734597	−	0.678503i	$-0.762629\pi$
$53$	−4.82042	+	2.32139i	−0.662136	+	0.318868i	0.0724613	+	0.997371i	$0.476915\pi$
$54$	−0.461278	+	2.02099i	−0.0627720	+	0.275022i
$55$	2.87694	−	3.60757i	0.387927	−	0.486445i
$56$	−0.867812	−	0.417916i	−0.115966	−	0.0558464i
$57$	−1.83805	+	2.30484i	−0.243455	+	0.305283i
$58$	−0.398693	−	1.74679i	−0.0523510	−	0.229365i
$59$	0.932316	−	0.448980i	0.121377	−	0.0584522i	−0.372210	−	0.928149i	$-0.621400\pi$
$59$	0.932316	−	0.448980i	0.121377	−	0.0584522i	0.493587	+	0.869697i	$0.335685\pi$
$60$	−0.317874	+	0.153080i	−0.0410374	+	0.0197626i
$61$	2.49108	+	3.12371i	0.318950	+	0.399950i	0.915299	−	0.402775i	$-0.131954\pi$
$61$	2.49108	+	3.12371i	0.318950	+	0.399950i	−0.596350	+	0.802725i	$0.703383\pi$
$62$	0.528137	+	2.31392i	0.0670734	+	0.293868i
$63$	−0.616316	+	2.70026i	−0.0776486	+	0.340201i
$64$	0.623490	+	0.781831i	0.0779362	+	0.0977289i
$65$	−4.28577	−	5.37419i	−0.531585	−	0.666586i
$66$	0.362258	−	1.58716i	0.0445909	−	0.195366i
$67$	−1.51072	−	6.61888i	−0.184563	−	0.808625i	−0.979421	−	0.201829i	$-0.935311\pi$
$67$	−1.51072	−	6.61888i	−0.184563	−	0.808625i	0.794857	−	0.606796i	$-0.207546\pi$
$68$	−2.82311	−	3.54007i	−0.342352	−	0.429296i
$69$	1.02407	−	0.493166i	0.123283	−	0.0593702i
$70$	−0.867812	+	0.417916i	−0.103723	+	0.0499506i
$71$	1.04558	+	4.58097i	0.124087	+	0.543661i	0.998309	+	0.0581340i	$0.0185151\pi$
$71$	1.04558	+	4.58097i	0.124087	+	0.543661i	−0.874222	+	0.485527i	$0.838628\pi$
$72$	1.79286	−	2.24817i	0.211290	−	0.264950i
$73$	7.61275	+	3.66611i	0.891005	+	0.429086i	0.822632	−	0.568574i	$-0.192505\pi$
$73$	7.61275	+	3.66611i	0.891005	+	0.429086i	0.0683734	+	0.997660i	$0.478219\pi$
$74$	−4.27697	+	5.36315i	−0.497188	+	0.623453i
$75$	−0.0785084	+	0.343968i	−0.00906537	+	0.0397180i
$76$	7.52820	−	3.62539i	0.863544	−	0.415861i
$77$	0.988983	−	4.33302i	0.112705	−	0.493793i
$78$	−2.18502	−	1.05225i	−0.247405	−	0.119144i
$79$	−3.07755			−0.346251			−0.173126	−	0.984900i	$-0.555387\pi$
$79$	−3.07755			−0.346251			−0.173126	+	0.984900i	$0.555387\pi$
$80$	1.00000			0.111803
$81$	−7.11333	−	3.42560i	−0.790370	−	0.380622i
$82$	−0.0554871	−	0.243105i	−0.00612752	−	0.0268464i
$83$	2.23476	+	2.80229i	0.245296	+	0.307592i	0.889204	−	0.457512i	$-0.151259\pi$
$83$	2.23476	+	2.80229i	0.245296	+	0.307592i	−0.643907	+	0.765103i	$0.722688\pi$
$84$	−0.211880	+	0.265690i	−0.0231181	+	0.0289891i
$85$	−4.52792			−0.491122
$86$	−4.33804	−	4.91746i	−0.467783	−	0.530263i
$87$	−0.632140			−0.0677725
$88$	−2.87694	+	3.60757i	−0.306683	+	0.384569i
$89$	−6.19153	−	7.76393i	−0.656301	−	0.822975i	0.336634	−	0.941636i	$-0.390712\pi$
$89$	−6.19153	−	7.76393i	−0.656301	−	0.822975i	−0.992935	+	0.118660i	$0.962140\pi$
$90$	−0.639864	−	2.80343i	−0.0674476	−	0.295507i
$91$	−5.96521	−	2.87269i	−0.625324	−	0.301140i
$92$	−3.22162			−0.335877
$93$	0.837377			0.0868319
$94$	5.69594	+	2.74302i	0.587491	+	0.282921i
$95$	1.85931	−	8.14618i	0.190761	−	0.835780i
$96$	0.317874	−	0.153080i	0.0324429	−	0.0156237i
$97$	1.88431	−	8.25568i	0.191322	−	0.838237i	−0.784580	−	0.620028i	$-0.787121\pi$
$97$	1.88431	−	8.25568i	0.191322	−	0.838237i	0.975902	−	0.218209i	$-0.0700216\pi$
$98$	3.78598	−	4.74747i	0.382442	−	0.479567i
$99$	11.9544	+	5.75694i	1.20146	+	0.578595i
$100$	0.623490	−	0.781831i	0.0623490	−	0.0781831i
$101$	1.42617	+	6.24848i	0.141910	+	0.621747i	0.994991	+	0.0999683i	$0.0318741\pi$
$101$	1.42617	+	6.24848i	0.141910	+	0.621747i	−0.853081	+	0.521779i	$0.825269\pi$
$102$	−1.43931	+	0.693134i	−0.142513	+	0.0686305i
$103$	8.21850	−	3.95782i	0.809793	−	0.389976i	0.0172952	−	0.999850i	$-0.494494\pi$
$103$	8.21850	−	3.95782i	0.809793	−	0.389976i	0.792498	+	0.609875i	$0.208780\pi$
$104$	4.28577	+	5.37419i	0.420255	+	0.526983i
$105$	0.0756193	+	0.331310i	0.00737968	+	0.0323325i
$106$	1.19055	−	5.21612i	0.115636	−	0.506635i
$107$	−8.73552	−	10.9540i	−0.844495	−	1.05896i	−0.997495	−	0.0707369i	$-0.977465\pi$
$107$	−8.73552	−	10.9540i	−0.844495	−	1.05896i	0.153000	−	0.988226i	$-0.451106\pi$
$108$	−1.29247	−	1.62071i	−0.124368	−	0.155953i
$109$	4.28238	−	18.7623i	0.410178	−	1.79711i	−0.173180	−	0.984890i	$-0.555404\pi$
$109$	4.28238	−	18.7623i	0.410178	−	1.79711i	0.583357	−	0.812216i	$-0.301739\pi$
$110$	1.02677	+	4.49857i	0.0978986	+	0.428922i
$111$	1.50897	+	1.89219i	0.143225	+	0.179599i
$112$	0.867812	−	0.417916i	0.0820006	−	0.0394894i
$113$	7.26371	−	3.49802i	0.683312	−	0.329066i	−0.0598211	−	0.998209i	$-0.519053\pi$
$113$	7.26371	−	3.49802i	0.683312	−	0.329066i	0.743133	+	0.669143i	$0.233339\pi$
$114$	−0.655991	−	2.87408i	−0.0614392	−	0.269183i
$115$	−2.00865	+	2.51876i	−0.187307	+	0.234876i
$116$	1.61428	+	0.777394i	0.149882	+	0.0721792i
$117$	12.3238	−	15.4536i	1.13934	−	1.42869i
$118$	−0.230263	+	1.00885i	−0.0211974	+	0.0928720i
$119$	−3.92938	+	1.89229i	−0.360206	+	0.173466i
$120$	0.0785084	−	0.343968i	0.00716681	−	0.0313998i
$121$	−9.27221	−	4.46526i	−0.842929	−	0.405933i
$122$	−3.99537			−0.361724
$123$	−0.0879765			−0.00793257
$124$	−2.13838	−	1.02979i	−0.192032	−	0.0924779i
$125$	−0.222521	−	0.974928i	−0.0199029	−	0.0872002i
$126$	−1.72688	−	2.16544i	−0.153843	−	0.192913i
$127$	−5.14730	+	6.45451i	−0.456749	+	0.572745i	−0.955871	−	0.293786i	$-0.905085\pi$
$127$	−5.14730	+	6.45451i	−0.456749	+	0.572745i	0.499122	+	0.866532i	$0.333656\pi$
$128$	−1.00000			−0.0883883
$129$	−2.03202	+	1.10608i	−0.178910	+	0.0973853i
$130$	6.87385			0.602876
$131$	−2.48646	+	3.11792i	−0.217243	+	0.272414i	−0.878497	−	0.477748i	$-0.841453\pi$
$131$	−2.48646	+	3.11792i	−0.217243	+	0.272414i	0.661254	+	0.750162i	$0.270025\pi$
$132$	1.01503	+	1.27280i	0.0883466	+	0.110783i
$133$	−1.79089	−	7.84639i	−0.155290	−	0.680368i
$134$	6.11677	+	2.94568i	0.528408	+	0.254468i
$135$	−2.07297			−0.178412
$136$	4.52792			0.388266
$137$	−18.8301	−	9.06808i	−1.60876	−	0.774738i	−0.608931	−	0.793223i	$-0.708402\pi$
$137$	−18.8301	−	9.06808i	−1.60876	−	0.774738i	−0.999829	+	0.0184846i	$0.994116\pi$
$138$	−0.252924	+	1.10813i	−0.0215303	+	0.0943305i
$139$	−11.7263	+	5.64709i	−0.994612	+	0.478980i	−0.859106	−	0.511797i	$-0.828980\pi$
$139$	−11.7263	+	5.64709i	−0.994612	+	0.478980i	−0.135505	+	0.990777i	$0.543266\pi$
$140$	0.214332	−	0.939050i	0.0181144	−	0.0793642i
$141$	1.39069	−	1.74387i	0.117117	−	0.146860i
$142$	−4.23345	−	2.03872i	−0.355263	−	0.171086i
$143$	−19.7757	+	24.7979i	−1.65372	+	2.07370i
$144$	0.639864	+	2.80343i	0.0533220	+	0.233619i
$145$	1.61428	−	0.777394i	0.134058	−	0.0645591i
$146$	−7.61275	+	3.66611i	−0.630036	+	0.303409i
$147$	−1.33575	−	1.67497i	−0.110171	−	0.138150i
$148$	−1.52643	−	6.68774i	−0.125472	−	0.549729i
$149$	−2.08433	+	9.13204i	−0.170755	+	0.748126i	0.814934	+	0.579553i	$0.196773\pi$
$149$	−2.08433	+	9.13204i	−0.170755	+	0.748126i	−0.985689	+	0.168573i	$0.946084\pi$
$150$	−0.219976	−	0.275841i	−0.0179609	−	0.0225223i
$151$	11.7131	+	14.6878i	0.953199	+	1.19527i	0.980673	+	0.195652i	$0.0626822\pi$
$151$	11.7131	+	14.6878i	0.953199	+	1.19527i	−0.0274741	+	0.999623i	$0.508746\pi$
$152$	−1.85931	+	8.14618i	−0.150810	+	0.660742i
$153$	−2.89725	−	12.6937i	−0.234229	−	1.02622i
$154$	2.77107	+	3.47481i	0.223299	+	0.280008i
$155$	−2.13838	+	1.02979i	−0.171759	+	0.0827147i
$156$	2.18502	−	1.05225i	0.174942	−	0.0842474i
$157$	−1.33740	−	5.85955i	−0.106736	−	0.467643i	−0.999842	−	0.0177949i	$-0.994335\pi$
$157$	−1.33740	−	5.85955i	−0.106736	−	0.467643i	0.893105	−	0.449848i	$-0.148522\pi$
$158$	1.91882	−	2.40612i	0.152653	−	0.191421i
$159$	−1.70071	−	0.819020i	−0.134875	−	0.0649525i
$160$	−0.623490	+	0.781831i	−0.0492912	+	0.0618092i
$161$	−0.690495	+	3.02526i	−0.0544187	+	0.238424i
$162$	7.11333	−	3.42560i	0.558876	−	0.269140i
$163$	0.704947	−	3.08857i	0.0552157	−	0.241916i	−0.939787	−	0.341760i	$-0.888977\pi$
$163$	0.704947	−	3.08857i	0.0552157	−	0.241916i	0.995003	+	0.0998438i	$0.0318343\pi$
$164$	0.224663	+	0.108192i	0.0175432	+	0.00844836i
$165$	1.62797			0.126738
$166$	−3.58427			−0.278193
$167$	23.1083	+	11.1284i	1.78818	+	0.861140i	0.947609	+	0.319434i	$0.103493\pi$
$167$	23.1083	+	11.1284i	1.78818	+	0.861140i	0.840568	+	0.541707i	$0.182222\pi$
$168$	−0.0756193	−	0.331310i	−0.00583415	−	0.0255611i
$169$	21.3544	+	26.7776i	1.64265	+	2.05981i
$170$	2.82311	−	3.54007i	0.216523	−	0.271511i
$171$	24.0269			1.83739
$172$	6.54935	−	0.325629i	0.499383	−	0.0248290i
$173$	−19.4307			−1.47729			−0.738646	−	0.674094i	$-0.764534\pi$
$173$	−19.4307			−1.47729			−0.738646	+	0.674094i	$0.764534\pi$
$174$	0.394133	−	0.494227i	0.0298791	−	0.0374673i
$175$	−0.600545	−	0.753059i	−0.0453969	−	0.0569259i
$176$	−1.02677	−	4.49857i	−0.0773956	−	0.339092i
$177$	0.328934	+	0.158406i	0.0247242	+	0.0119065i
$178$	9.93044			0.744318
$179$	−18.5968			−1.38999			−0.694994	−	0.719016i	$-0.744593\pi$
$179$	−18.5968			−1.38999			−0.694994	+	0.719016i	$0.744593\pi$
$180$	2.59076	+	1.24764i	0.193104	+	0.0929938i
$181$	1.41184	−	6.18568i	0.104941	−	0.459778i	−0.894966	−	0.446135i	$-0.852800\pi$
$181$	1.41184	−	6.18568i	0.104941	−	0.459778i	0.999907	−	0.0136428i	$-0.00434277\pi$
$182$	5.96521	−	2.87269i	0.442171	−	0.212938i
$183$	−0.313671	+	1.37428i	−0.0231872	+	0.101590i
$184$	2.00865	−	2.51876i	0.148079	−	0.185686i
$185$	−6.18040	−	2.97632i	−0.454392	−	0.218824i
$186$	−0.522096	+	0.654687i	−0.0382819	+	0.0480040i
$187$	4.64913	+	20.3692i	0.339978	+	1.48954i
$188$	−5.69594	+	2.74302i	−0.415419	+	0.200055i
$189$	−1.79894	+	0.866326i	−0.130854	+	0.0630159i
$190$	5.20968	+	6.53273i	0.377950	+	0.473934i
$191$	−4.79853	−	21.0238i	−0.347210	−	1.52123i	−0.783484	−	0.621412i	$-0.786559\pi$
$191$	−4.79853	−	21.0238i	−0.347210	−	1.52123i	0.436274	−	0.899814i	$-0.356298\pi$
$192$	−0.0785084	+	0.343968i	−0.00566586	+	0.0248237i
$193$	11.5253	+	14.4522i	0.829606	+	1.04029i	0.998505	+	0.0546593i	$0.0174073\pi$
$193$	11.5253	+	14.4522i	0.829606	+	1.04029i	−0.168899	+	0.985633i	$0.554021\pi$
$194$	5.27971	+	6.62054i	0.379061	+	0.475327i
$195$	0.539655	−	2.36438i	0.0386455	−	0.169317i
$196$	1.35120	+	5.92000i	0.0965144	+	0.422857i
$197$	−1.03144	−	1.29338i	−0.0734871	−	0.0921499i	0.743729	−	0.668481i	$-0.233055\pi$
$197$	−1.03144	−	1.29338i	−0.0734871	−	0.0921499i	−0.817216	+	0.576331i	$0.804484\pi$
$198$	−11.9544	+	5.75694i	−0.849564	+	0.409128i
$199$	−7.40770	+	3.56736i	−0.525118	+	0.252883i	−0.677610	−	0.735421i	$-0.736984\pi$
$199$	−7.40770	+	3.56736i	−0.525118	+	0.252883i	0.152493	+	0.988305i	$0.451270\pi$
$200$	0.222521	+	0.974928i	0.0157346	+	0.0689378i
$201$	1.49344	−	1.87271i	0.105339	−	0.132091i
$202$	−5.77446	−	2.78083i	−0.406290	−	0.195659i
$203$	1.07600	−	1.34926i	0.0755206	−	0.0946998i
$204$	0.355480	−	1.55746i	0.0248886	−	0.109044i
$205$	0.224663	−	0.108192i	0.0156911	−	0.00755644i
$206$	−2.02980	+	8.89315i	−0.141423	+	0.619615i
$207$	−8.34642	−	4.01943i	−0.580116	−	0.279369i
$208$	−6.87385			−0.476616
$209$	−38.5552			−2.66692
$210$	−0.306176	−	0.147447i	−0.0211282	−	0.0101748i
$211$	−0.452022	−	1.98044i	−0.0311185	−	0.136339i	0.956982	−	0.290146i	$-0.0937038\pi$
$211$	−0.452022	−	1.98044i	−0.0311185	−	0.136339i	−0.988101	+	0.153807i	$0.950847\pi$
$212$	3.33584	+	4.18301i	0.229106	+	0.287290i
$213$	−1.03362	+	1.29611i	−0.0708223	+	0.0888083i
$214$	14.0107			0.957751
$215$	3.82887	−	5.32351i	0.261126	−	0.363061i
$216$	2.07297			0.141047
$217$	−1.42535	+	1.78733i	−0.0967589	+	0.121332i
$218$	11.9990	+	15.0462i	0.812672	+	1.01906i
$219$	0.663358	+	2.90636i	0.0448256	+	0.196394i
$220$	−4.15730	−	2.00205i	−0.280285	−	0.134978i
$221$	31.1242			2.09364
$222$	−2.42021			−0.162434
$223$	7.54034	+	3.63124i	0.504938	+	0.243165i	0.668970	−	0.743290i	$-0.266736\pi$
$223$	7.54034	+	3.63124i	0.504938	+	0.243165i	−0.164031	+	0.986455i	$0.552450\pi$
$224$	−0.214332	+	0.939050i	−0.0143207	+	0.0627429i
$225$	2.59076	−	1.24764i	0.172717	−	0.0831762i
$226$	−1.79399	+	7.85998i	−0.119334	+	0.522838i
$227$	−4.37886	+	5.49092i	−0.290635	+	0.364445i	−0.905617	−	0.424096i	$-0.860592\pi$
$227$	−4.37886	+	5.49092i	−0.290635	+	0.364445i	0.614982	+	0.788541i	$0.289163\pi$
$228$	2.65605	+	1.27909i	0.175901	+	0.0847097i
$229$	18.3834	−	23.0521i	1.21481	−	1.52333i	0.430967	−	0.902368i	$-0.358173\pi$
$229$	18.3834	−	23.0521i	1.21481	−	1.52333i	0.783844	−	0.620957i	$-0.213256\pi$
$230$	−0.716877	−	3.14084i	−0.0472695	−	0.207101i
$231$	1.41278	−	0.680357i	0.0929538	−	0.0447642i
$232$	−1.61428	+	0.777394i	−0.105982	+	0.0510384i
$233$	10.8356	+	13.5875i	0.709867	+	0.890145i	0.997717	−	0.0675306i	$-0.0215120\pi$
$233$	10.8356	+	13.5875i	0.709867	+	0.890145i	−0.287850	+	0.957675i	$0.592941\pi$
$234$	4.39833	+	19.2703i	0.287528	+	1.25974i
$235$	−1.40678	+	6.16351i	−0.0917682	+	0.402063i
$236$	−0.645182	−	0.809033i	−0.0419978	−	0.0526636i
$237$	−0.676986	−	0.848914i	−0.0439750	−	0.0551429i
$238$	0.970477	−	4.25194i	0.0629067	−	0.275612i
$239$	−1.23096	−	5.39321i	−0.0796245	−	0.348858i	0.919385	−	0.393359i	$-0.128687\pi$
$239$	−1.23096	−	5.39321i	−0.0796245	−	0.348858i	−0.999009	+	0.0445017i	$0.985830\pi$
$240$	0.219976	+	0.275841i	0.0141994	+	0.0178055i
$241$	−18.9156	+	9.10929i	−1.21846	+	0.586781i	−0.928883	−	0.370373i	$-0.879230\pi$
$241$	−18.9156	+	9.10929i	−1.21846	+	0.586781i	−0.289580	+	0.957154i	$0.593516\pi$
$242$	9.27221	−	4.46526i	0.596040	−	0.287038i
$243$	−2.00367	−	8.77867i	−0.128536	−	0.563152i
$244$	2.49108	−	3.12371i	0.159475	−	0.199975i
$245$	5.47091	+	2.63465i	0.349523	+	0.168322i
$246$	0.0548524	−	0.0687828i	0.00349726	−	0.00438543i
$247$	−12.7806	+	55.9956i	−0.813212	+	3.56291i
$248$	2.13838	−	1.02979i	0.135787	−	0.0653917i
$249$	−0.281395	+	1.23287i	−0.0178327	+	0.0781302i
$250$	0.900969	+	0.433884i	0.0569823	+	0.0274412i
$251$	−7.62304			−0.481162			−0.240581	−	0.970629i	$-0.577338\pi$
$251$	−7.62304			−0.481162			−0.240581	+	0.970629i	$0.577338\pi$
$252$	2.76970			0.174475
$253$	13.3932	+	6.44984i	0.842026	+	0.405498i
$254$	−1.83705	−	8.04864i	−0.115267	−	0.505017i
$255$	−0.996032	−	1.24898i	−0.0623740	−	0.0782145i
$256$	0.623490	−	0.781831i	0.0389681	−	0.0488645i
$257$	−12.7651			−0.796263			−0.398131	−	0.917328i	$-0.630341\pi$
$257$	−12.7651			−0.796263			−0.398131	+	0.917328i	$0.630341\pi$
$258$	0.402173	−	2.27833i	0.0250382	−	0.141843i
$259$	−6.60728			−0.410556
$260$	−4.28577	+	5.37419i	−0.265792	+	0.333293i
$261$	3.21228	+	4.02808i	0.198835	+	0.249332i
$262$	−0.887408	−	3.88799i	−0.0548243	−	0.240201i
$263$	25.1582	+	12.1155i	1.55132	+	0.747076i	0.996396	−	0.0848263i	$-0.0270335\pi$
$263$	25.1582	+	12.1155i	1.55132	+	0.747076i	0.554923	+	0.831902i	$0.312748\pi$
$264$	−1.62797			−0.100195
$265$	5.35027			0.328664
$266$	7.25116	+	3.49197i	0.444597	+	0.214107i
$267$	0.779624	−	3.41575i	0.0477122	−	0.209041i
$268$	−6.11677	+	2.94568i	−0.373641	+	0.179936i
$269$	−2.13391	+	9.34928i	−0.130107	+	0.570036i	0.867282	+	0.497817i	$0.165865\pi$
$269$	−2.13391	+	9.34928i	−0.130107	+	0.570036i	−0.997389	+	0.0722183i	$0.976992\pi$
$270$	1.29247	−	1.62071i	0.0786574	−	0.0986332i
$271$	−13.8192	−	6.65496i	−0.839455	−	0.404260i	−0.0358023	−	0.999359i	$-0.511399\pi$
$271$	−13.8192	−	6.65496i	−0.839455	−	0.404260i	−0.803653	+	0.595099i	$0.797113\pi$
$272$	−2.82311	+	3.54007i	−0.171176	+	0.214648i
$273$	−0.519795	−	2.27737i	−0.0314594	−	0.137833i
$274$	18.8301	−	9.06808i	1.13757	−	0.547823i
$275$	−4.15730	+	2.00205i	−0.250695	+	0.120728i
$276$	−0.708678	−	0.888654i	−0.0426574	−	0.0534907i
$277$	−3.64553	−	15.9721i	−0.219039	−	0.959672i	−0.958190	−	0.286132i	$-0.907630\pi$
$277$	−3.64553	−	15.9721i	−0.219039	−	0.959672i	0.739151	−	0.673540i	$-0.235227\pi$
$278$	2.89616	−	12.6889i	0.173700	−	0.761029i
$279$	−4.25521	−	5.33587i	−0.254753	−	0.319450i
$280$	0.600545	+	0.753059i	0.0358894	+	0.0450039i
$281$	−1.56993	+	6.87831i	−0.0936542	+	0.410326i	−0.999923	−	0.0123751i	$-0.996061\pi$
$281$	−1.56993	+	6.87831i	−0.0936542	+	0.410326i	0.906269	+	0.422701i	$0.138918\pi$
$282$	0.496331	+	2.17457i	0.0295561	+	0.129494i
$283$	−13.1978	−	16.5495i	−0.784525	−	0.983764i	−0.999974	−	0.00724837i	$-0.997693\pi$
$283$	−13.1978	−	16.5495i	−0.784525	−	0.983764i	0.215448	−	0.976515i	$-0.430879\pi$
$284$	4.23345	−	2.03872i	0.251209	−	0.120976i
$285$	2.65605	−	1.27909i	0.157331	−	0.0757666i
$286$	−7.05785	−	30.9225i	−0.417340	−	1.82848i
$287$	0.149750	−	0.187780i	0.00883945	−	0.0110843i
$288$	−2.59076	−	1.24764i	−0.152662	−	0.0735180i
$289$	2.18349	−	2.73801i	0.128440	−	0.161059i
$290$	−0.398693	+	1.74679i	−0.0234121	+	0.102575i
$291$	2.69176	−	1.29628i	0.157794	−	0.0759894i
$292$	1.88019	−	8.23767i	0.110030	−	0.482073i
$293$	−17.0253	−	8.19893i	−0.994626	−	0.478987i	−0.135514	−	0.990775i	$-0.543269\pi$
$293$	−17.0253	−	8.19893i	−0.994626	−	0.478987i	−0.859111	+	0.511789i	$0.828983\pi$
$294$	2.14237			0.124946
$295$	−1.03479			−0.0602479
$296$	6.18040	+	2.97632i	0.359228	+	0.172995i
$297$	2.12846	+	9.32538i	0.123506	+	0.541113i
$298$	−5.84016	−	7.32333i	−0.338311	−	0.424229i
$299$	13.8071	−	17.3136i	0.798486	−	1.00127i
$300$	0.352814			0.0203697
$301$	1.09795	−	6.21996i	0.0632850	−	0.358512i
$302$	−18.7864			−1.08103
$303$	−1.40986	+	1.76791i	−0.0809945	+	0.101564i
$304$	−5.20968	−	6.53273i	−0.298795	−	0.374678i
$305$	−0.889055	−	3.89520i	−0.0509071	−	0.223039i
$306$	11.7307	+	5.64922i	0.670601	+	0.322945i
$307$	−2.42032			−0.138135			−0.0690674	−	0.997612i	$-0.522002\pi$
$307$	−2.42032			−0.138135			−0.0690674	+	0.997612i	$0.522002\pi$
$308$	−4.44445			−0.253246
$309$	2.89960	+	1.39637i	0.164953	+	0.0794369i
$310$	0.528137	−	2.31392i	0.0299961	−	0.131422i
$311$	19.0120	−	9.15568i	1.07807	−	0.519171i	0.191370	−	0.981518i	$-0.438707\pi$
$311$	19.0120	−	9.15568i	1.07807	−	0.519171i	0.886699	+	0.462347i	$0.152993\pi$
$312$	−0.539655	+	2.36438i	−0.0305520	+	0.133857i
$313$	3.96900	−	4.97697i	0.224341	−	0.281315i	−0.656904	−	0.753974i	$-0.728134\pi$
$313$	3.96900	−	4.97697i	0.224341	−	0.281315i	0.881245	+	0.472659i	$0.156706\pi$
$314$	5.41503	+	2.60774i	0.305588	+	0.147163i
$315$	1.72688	−	2.16544i	0.0972987	−	0.122009i
$316$	0.684819	+	3.00039i	0.0385241	+	0.168785i
$317$	10.4121	−	5.01420i	0.584802	−	0.281626i	−0.117997	−	0.993014i	$-0.537647\pi$
$317$	10.4121	−	5.01420i	0.584802	−	0.281626i	0.702799	+	0.711388i	$0.251933\pi$
$318$	1.70071	−	0.819020i	0.0953712	−	0.0459283i
$319$	−5.15465	−	6.46373i	−0.288605	−	0.361899i
$320$	−0.222521	−	0.974928i	−0.0124393	−	0.0545001i
$321$	1.09996	−	4.81923i	0.0613936	−	0.268983i
$322$	−1.93472	−	2.42607i	−0.107818	−	0.135199i
$323$	23.5890	+	29.5797i	1.31253	+	1.64586i
$324$	−1.75685	+	7.69725i	−0.0976026	+	0.427625i
$325$	1.52958	+	6.70151i	0.0848456	+	0.371733i
$326$	1.97522	+	2.47684i	0.109397	+	0.137180i
$327$	6.11744	−	2.94600i	0.338295	−	0.162914i
$328$	−0.224663	+	0.108192i	−0.0124049	+	0.00597389i
$329$	1.35501	+	5.93668i	0.0747041	+	0.327300i
$330$	−1.01503	+	1.27280i	−0.0558753	+	0.0700654i
$331$	−23.0627	−	11.1064i	−1.26764	−	0.610464i	−0.325457	−	0.945557i	$-0.605518\pi$
$331$	−23.0627	−	11.1064i	−1.26764	−	0.610464i	−0.942185	+	0.335093i	$0.891232\pi$
$332$	2.23476	−	2.80229i	0.122648	−	0.153796i
$333$	4.38929	−	19.2307i	0.240532	−	1.05384i
$334$	−23.1083	+	11.1284i	−1.26443	+	0.608918i
$335$	−1.51072	+	6.61888i	−0.0825393	+	0.361628i
$336$	0.306176	+	0.147447i	0.0167033	+	0.00804387i
$337$	−17.3789			−0.946690			−0.473345	−	0.880877i	$-0.656954\pi$
$337$	−17.3789			−0.946690			−0.473345	+	0.880877i	$0.656954\pi$
$338$	−34.2498			−1.86294
$339$	2.56274	+	1.23415i	0.139189	+	0.0670298i
$340$	1.00756	+	4.41439i	0.0546424	+	0.239404i
$341$	6.82821	+	8.56230i	0.369768	+	0.463675i
$342$	−14.9805	+	18.7850i	−0.810055	+	1.01578i
$343$	12.5912			0.679860
$344$	−3.82887	+	5.32351i	−0.206439	+	0.287025i
$345$	−1.13663			−0.0611941
$346$	12.1149	−	15.1916i	0.651299	−	0.816703i
$347$	7.89426	+	9.89909i	0.423786	+	0.531411i	0.947190	−	0.320674i	$-0.103909\pi$
$347$	7.89426	+	9.89909i	0.423786	+	0.531411i	−0.523404	+	0.852085i	$0.675338\pi$
$348$	0.140664	+	0.616291i	0.00754040	+	0.0330367i
$349$	−12.3613	−	5.95290i	−0.661687	−	0.318651i	0.0727288	−	0.997352i	$-0.476829\pi$
$349$	−12.3613	−	5.95290i	−0.661687	−	0.318651i	−0.734415	+	0.678700i	$0.762544\pi$
$350$	0.963199			0.0514852
$351$	14.2492			0.760569
$352$	4.15730	+	2.00205i	0.221585	+	0.106710i
$353$	1.04449	−	4.57621i	0.0555926	−	0.243567i	−0.939495	−	0.342562i	$-0.888705\pi$
$353$	1.04449	−	4.57621i	0.0555926	−	0.243567i	0.995088	+	0.0989945i	$0.0315626\pi$
$354$	−0.328934	+	0.158406i	−0.0174826	+	0.00841919i
$355$	1.04558	−	4.58097i	0.0554934	−	0.243133i
$356$	−6.19153	+	7.76393i	−0.328150	+	0.411488i
$357$	−1.38634	−	0.667626i	−0.0733729	−	0.0353345i
$358$	11.5949	−	14.5395i	0.612809	−	0.768439i
$359$	−6.07286	−	26.6070i	−0.320513	−	1.40426i	−0.836642	−	0.547750i	$-0.815484\pi$
$359$	−6.07286	−	26.6070i	−0.320513	−	1.40426i	0.516128	−	0.856511i	$-0.327373\pi$
$360$	−2.59076	+	1.24764i	−0.136545	+	0.0657565i
$361$	−45.7848	+	22.0488i	−2.40973	+	1.16046i
$362$	3.95589	+	4.96053i	0.207917	+	0.260720i
$363$	−0.807960	−	3.53991i	−0.0424069	−	0.185797i
$364$	−1.47329	+	6.45488i	−0.0772211	+	0.338328i
$365$	−5.26819	−	6.60610i	−0.275750	−	0.345779i
$366$	−0.878886	−	1.10209i	−0.0459401	−	0.0576070i
$367$	3.16429	−	13.8637i	0.165175	−	0.723677i	−0.822707	−	0.568466i	$-0.807537\pi$
$367$	3.16429	−	13.8637i	0.165175	−	0.723677i	0.987881	−	0.155211i	$-0.0496057\pi$
$368$	0.716877	+	3.14084i	0.0373698	+	0.163728i
$369$	0.447061	+	0.560597i	0.0232731	+	0.0291835i
$370$	6.18040	−	2.97632i	0.321304	−	0.154732i
$371$	4.64303	−	2.23596i	0.241054	−	0.116085i
$372$	−0.186334	−	0.816382i	−0.00966096	−	0.0423274i
$373$	1.69326	−	2.12328i	0.0876737	−	0.109939i	−0.736060	−	0.676916i	$-0.763316\pi$
$373$	1.69326	−	2.12328i	0.0876737	−	0.109939i	0.823734	+	0.566977i	$0.191887\pi$
$374$	−18.8239	−	9.06513i	−0.973362	−	0.468747i
$375$	0.219976	−	0.275841i	0.0113595	−	0.0142444i
$376$	1.40678	−	6.16351i	0.0725492	−	0.317859i
$377$	−11.0963	+	5.34369i	−0.571488	+	0.275214i
$378$	0.444303	−	1.94662i	0.0228525	−	0.100123i
$379$	10.3335	+	4.97635i	0.530796	+	0.255618i	0.680030	−	0.733184i	$-0.261967\pi$
$379$	10.3335	+	4.97635i	0.530796	+	0.255618i	−0.149234	+	0.988802i	$0.547681\pi$
$380$	−8.35567			−0.428637
$381$	−2.91270			−0.149222
$382$	19.4289	+	9.35645i	0.994068	+	0.478718i
$383$	−4.52175	−	19.8111i	−0.231051	−	1.01230i	−0.948770	−	0.315967i	$-0.897671\pi$
$383$	−4.52175	−	19.8111i	−0.231051	−	1.01230i	0.717719	−	0.696333i	$-0.245186\pi$
$384$	−0.219976	−	0.275841i	−0.0112256	−	0.0140764i
$385$	−2.77107	+	3.47481i	−0.141227	+	0.177093i
$386$	−18.4851			−0.940865
$387$	17.3740	+	7.32762i	0.883172	+	0.372484i
$388$	−8.46799			−0.429897
$389$	22.3407	−	28.0144i	1.13272	−	1.42039i	0.239426	−	0.970915i	$-0.423041\pi$
$389$	22.3407	−	28.0144i	1.13272	−	1.42039i	0.893294	−	0.449472i	$-0.148388\pi$
$390$	1.51208	+	1.89609i	0.0765671	+	0.0960122i
$391$	−3.24596	−	14.2215i	−0.164155	−	0.719211i
$392$	−5.47091	−	2.63465i	−0.276322	−	0.133070i
$393$	−1.40701			−0.0709744
$394$	1.65430			0.0833425
$395$	2.77277	+	1.33530i	0.139513	+	0.0671861i
$396$	2.95250	−	12.9357i	0.148369	−	0.650045i
$397$	15.4260	−	7.42876i	0.774207	−	0.372839i	−0.00469076	−	0.999989i	$-0.501493\pi$
$397$	15.4260	−	7.42876i	0.774207	−	0.372839i	0.778898	+	0.627150i	$0.215779\pi$
$398$	1.82955	−	8.01578i	0.0917070	−	0.401795i
$399$	1.77040	−	2.22002i	0.0886310	−	0.111140i
$400$	−0.900969	−	0.433884i	−0.0450484	−	0.0216942i
$401$	22.1184	−	27.7355i	1.10454	−	1.38505i	0.189403	−	0.981900i	$-0.439345\pi$
$401$	22.1184	−	27.7355i	1.10454	−	1.38505i	0.915135	−	0.403147i	$-0.132084\pi$
$402$	0.533002	+	2.33523i	0.0265837	+	0.116471i
$403$	14.6989	−	7.07862i	0.732205	−	0.352611i
$404$	5.77446	−	2.78083i	0.287290	−	0.138352i
$405$	4.92257	+	6.17271i	0.244605	+	0.306725i
$406$	0.384021	+	1.68250i	0.0190586	+	0.0835013i
$407$	−7.04335	+	30.8590i	−0.349126	+	1.52962i
$408$	0.996032	+	1.24898i	0.0493109	+	0.0618340i
$409$	−18.6859	−	23.4313i	−0.923956	−	1.15860i	−0.987020	−	0.160595i	$-0.948659\pi$
$409$	−18.6859	−	23.4313i	−0.923956	−	1.15860i	0.0630643	−	0.998009i	$-0.479913\pi$
$410$	−0.0554871	+	0.243105i	−0.00274031	+	0.0120061i
$411$	−1.64081	−	7.18886i	−0.0809352	−	0.354600i
$412$	−5.68738	−	7.13175i	−0.280197	−	0.351356i
$413$	−0.898005	+	0.432457i	−0.0441880	+	0.0212798i
$414$	8.34642	−	4.01943i	0.410204	−	0.197544i
$415$	−0.797575	−	3.49440i	−0.0391514	−	0.171534i
$416$	4.28577	−	5.37419i	0.210127	−	0.263491i
$417$	−4.13720	−	1.99237i	−0.202600	−	0.0975668i
$418$	24.0388	−	30.1437i	1.17578	−	1.47438i
$419$	−5.38043	+	23.5732i	−0.262851	+	1.15163i	0.655292	+	0.755376i	$0.272546\pi$
$419$	−5.38043	+	23.5732i	−0.262851	+	1.15163i	−0.918143	+	0.396250i	$0.870311\pi$
$420$	0.306176	−	0.147447i	0.0149399	−	0.00719466i
$421$	−3.38398	+	14.8262i	−0.164925	+	0.722583i	0.823050	+	0.567969i	$0.192271\pi$
$421$	−3.38398	+	14.8262i	−0.164925	+	0.722583i	−0.987975	+	0.154614i	$0.950586\pi$
$422$	1.83020	+	0.881378i	0.0890928	+	0.0429048i
$423$	−18.1791			−0.883898
$424$	−5.35027			−0.259832
$425$	4.07951	+	1.96459i	0.197885	+	0.0952966i
$426$	−0.368894	−	1.61623i	−0.0178730	−	0.0783065i
$427$	−2.39940	−	3.00875i	−0.116115	−	0.145604i
$428$	−8.73552	+	10.9540i	−0.422247	+	0.529482i
$429$	−11.1904			−0.540280
$430$	1.77483	+	6.31268i	0.0855900	+	0.304425i
$431$	−1.90741			−0.0918766			−0.0459383	−	0.998944i	$-0.514628\pi$
$431$	−1.90741			−0.0918766			−0.0459383	+	0.998944i	$0.514628\pi$
$432$	−1.29247	+	1.62071i	−0.0621841	+	0.0779764i
$433$	9.37073	+	11.7505i	0.450328	+	0.564694i	0.954233	−	0.299066i	$-0.0966750\pi$
$433$	9.37073	+	11.7505i	0.450328	+	0.564694i	−0.503904	+	0.863760i	$0.668104\pi$
$434$	−0.508701	−	2.22876i	−0.0244184	−	0.106984i
$435$	0.569538	+	0.274275i	0.0273073	+	0.0131505i
$436$	−19.2448			−0.921661
$437$	26.9188			1.28770
$438$	−2.68588	−	1.29345i	−0.128336	−	0.0618036i
$439$	6.20954	−	27.2058i	0.296365	−	1.29846i	−0.579131	−	0.815235i	$-0.696608\pi$
$439$	6.20954	−	27.2058i	0.296365	−	1.29846i	0.875496	−	0.483225i	$-0.160535\pi$
$440$	4.15730	−	2.00205i	0.198192	−	0.0954441i
$441$	−3.88541	+	17.0231i	−0.185020	+	0.810624i
$442$	−19.4056	+	24.3339i	−0.923032	+	1.15745i
$443$	−2.37081	−	1.14172i	−0.112641	−	0.0542448i	0.376715	−	0.926329i	$-0.377054\pi$
$443$	−2.37081	−	1.14172i	−0.112641	−	0.0542448i	−0.489355	+	0.872084i	$0.662768\pi$
$444$	1.50897	−	1.89219i	0.0716127	−	0.0897995i
$445$	2.20973	+	9.68147i	0.104751	+	0.458946i
$446$	−7.54034	+	3.63124i	−0.357045	+	0.171944i
$447$	−2.97749	+	1.43388i	−0.140831	+	0.0678204i
$448$	−0.600545	−	0.753059i	−0.0283731	−	0.0355787i
$449$	−4.34637	−	19.0427i	−0.205118	−	0.898680i	−0.967763	−	0.251863i	$-0.918957\pi$
$449$	−4.34637	−	19.0427i	−0.205118	−	0.898680i	0.762645	−	0.646817i	$-0.223900\pi$
$450$	−0.639864	+	2.80343i	−0.0301635	+	0.132155i
$451$	−0.717385	−	0.899572i	−0.0337803	−	0.0423592i
$452$	−5.02664	−	6.30321i	−0.236433	−	0.296478i
$453$	−1.47489	+	6.46191i	−0.0692963	+	0.303607i
$454$	−1.56280	−	6.84706i	−0.0733457	−	0.321349i
$455$	4.12805	+	5.17642i	0.193526	+	0.242674i
$456$	−2.65605	+	1.27909i	−0.124381	+	0.0598988i
$457$	13.2540	−	6.38277i	0.619994	−	0.298574i	−0.0973952	−	0.995246i	$-0.531051\pi$
$457$	13.2540	−	6.38277i	0.619994	−	0.298574i	0.717390	+	0.696672i	$0.245337\pi$
$458$	6.56097	+	28.7455i	0.306574	+	1.34319i
$459$	5.85221	−	7.33844i	0.273158	−	0.342529i
$460$	2.90258	+	1.39781i	0.135333	+	0.0651731i
$461$	−17.7508	+	22.2588i	−0.826737	+	1.03670i	0.171931	+	0.985109i	$0.444999\pi$
$461$	−17.7508	+	22.2588i	−0.826737	+	1.03670i	−0.998669	+	0.0515869i	$0.983572\pi$
$462$	−0.348927	+	1.52875i	−0.0162335	+	0.0711238i
$463$	−1.36810	+	0.658843i	−0.0635811	+	0.0306191i	−0.465404	−	0.885098i	$-0.654091\pi$
$463$	−1.36810	+	0.658843i	−0.0635811	+	0.0306191i	0.401823	+	0.915717i	$0.368377\pi$
$464$	0.398693	−	1.74679i	0.0185089	−	0.0810926i
$465$	−0.754450	−	0.363324i	−0.0349868	−	0.0168488i
$466$	−17.3790			−0.805068
$467$	−7.56673			−0.350147			−0.175073	−	0.984555i	$-0.556016\pi$
$467$	−7.56673			−0.350147			−0.175073	+	0.984555i	$0.556016\pi$
$468$	−17.8085	−	8.57610i	−0.823197	−	0.396431i
$469$	1.45512	+	6.37530i	0.0671912	+	0.294384i
$470$	−3.94171	−	4.94275i	−0.181818	−	0.227992i
$471$	1.32211	−	1.65787i	0.0609194	−	0.0763905i
$472$	1.03479			0.0476302
$473$	−27.8796	−	11.7584i	−1.28190	−	0.540652i
$474$	1.08580			0.0498725
$475$	−5.20968	+	6.53273i	−0.239036	+	0.299742i
$476$	2.71922	+	3.40979i	0.124635	+	0.156288i
$477$	3.42344	+	14.9991i	0.156749	+	0.686761i
$478$	4.98407	+	2.40020i	0.227966	+	0.109783i
$479$	9.19363			0.420068			0.210034	−	0.977694i	$-0.432643\pi$
$479$	9.19363			0.420068			0.210034	+	0.977694i	$0.432643\pi$
$480$	−0.352814			−0.0161037
$481$	42.4831	+	20.4588i	1.93706	+	0.932841i
$482$	4.67177	−	20.4684i	0.212794	−	0.932309i
$483$	−0.986382	+	0.475017i	−0.0448819	+	0.0216140i
$484$	−2.29005	+	10.0334i	−0.104093	+	0.456062i
$485$	−5.27971	+	6.62054i	−0.239739	+	0.300623i
$486$	8.11271	+	3.90688i	0.368000	+	0.177219i
$487$	7.66835	−	9.61581i	0.347486	−	0.435734i	−0.577119	−	0.816660i	$-0.695823\pi$
$487$	7.66835	−	9.61581i	0.347486	−	0.435734i	0.924606	+	0.380926i	$0.124395\pi$
$488$	0.889055	+	3.89520i	0.0402456	+	0.176328i
$489$	1.00703	−	0.484958i	0.0455393	−	0.0219306i
$490$	−5.47091	+	2.63465i	−0.247150	+	0.119021i
$491$	12.5873	+	15.7839i	0.568055	+	0.712319i	0.980024	−	0.198879i	$-0.0637302\pi$
$491$	12.5873	+	15.7839i	0.568055	+	0.712319i	−0.411969	+	0.911198i	$0.635159\pi$
$492$	0.0195766	+	0.0857707i	0.000882581	+	0.00386684i
$493$	−1.80525	+	7.90931i	−0.0813043	+	0.356218i
$494$	−35.8105	−	44.9050i	−1.61119	−	2.02037i
$495$	−8.27271	−	10.3737i	−0.371831	−	0.466261i
$496$	−0.528137	+	2.31392i	−0.0237140	+	0.103898i
$497$	−1.00710	−	4.41238i	−0.0451745	−	0.197922i
$498$	−0.788452	−	0.988688i	−0.0353314	−	0.0443042i
$499$	−10.1988	+	4.91149i	−0.456562	+	0.219868i	−0.648006	−	0.761635i	$-0.724397\pi$
$499$	−10.1988	+	4.91149i	−0.456562	+	0.219868i	0.191445	+	0.981503i	$0.438683\pi$
$500$	−0.900969	+	0.433884i	−0.0402926	+	0.0194039i
$501$	2.01361	+	8.82220i	0.0899614	+	0.394147i
$502$	4.75289	−	5.95994i	0.212132	−	0.266005i
$503$	−15.0363	−	7.24111i	−0.670436	−	0.322865i	0.0675160	−	0.997718i	$-0.478493\pi$
$503$	−15.0363	−	7.24111i	−0.670436	−	0.322865i	−0.737952	+	0.674853i	$0.764207\pi$
$504$	−1.72688	+	2.16544i	−0.0769213	+	0.0964563i
$505$	1.42617	−	6.24848i	0.0634639	−	0.278054i
$506$	−13.3932	+	6.44984i	−0.595402	+	0.286730i
$507$	−2.68890	+	11.7808i	−0.119418	+	0.523205i
$508$	7.43807	+	3.58198i	0.330011	+	0.158925i
$509$	−0.751797			−0.0333228			−0.0166614	−	0.999861i	$-0.505304\pi$
$509$	−0.751797			−0.0333228			−0.0166614	+	0.999861i	$0.505304\pi$
$510$	1.59751			0.0707390
$511$	−7.33260	−	3.53119i	−0.324375	−	0.156211i
$512$	0.222521	+	0.974928i	0.00983413	+	0.0430861i
$513$	10.7995	+	13.5421i	0.476809	+	0.597899i
$514$	7.95889	−	9.98013i	0.351051	−	0.440205i
$515$	−9.12185			−0.401957
$516$	1.53052	+	1.73495i	0.0673774	+	0.0763768i
$517$	29.1714			1.28296
$518$	4.11957	−	5.16578i	0.181004	−	0.226971i
$519$	−4.27429	−	5.35979i	−0.187621	−	0.235269i
$520$	−1.52958	−	6.70151i	−0.0670763	−	0.293880i
$521$	15.5349	+	7.48123i	0.680598	+	0.327759i	0.742044	−	0.670352i	$-0.233857\pi$
$521$	15.5349	+	7.48123i	0.680598	+	0.327759i	−0.0614455	+	0.998110i	$0.519571\pi$
$522$	−5.15210			−0.225501
$523$	−21.0388			−0.919960			−0.459980	−	0.887929i	$-0.652144\pi$
$523$	−21.0388			−0.919960			−0.459980	+	0.887929i	$0.652144\pi$
$524$	3.59304	+	1.73032i	0.156963	+	0.0755893i
$525$	0.0756193	−	0.331310i	0.00330029	−	0.0144595i
$526$	−25.1582	+	12.1155i	−1.09695	+	0.528262i
$527$	2.39136	−	10.4772i	0.104169	−	0.456395i
$528$	1.01503	−	1.27280i	0.0441733	−	0.0553916i
$529$	11.3713	+	5.47613i	0.494404	+	0.238093i
$530$	−3.33584	+	4.18301i	−0.144899	+	0.181698i
$531$	−0.662126	−	2.90096i	−0.0287338	−	0.125891i
$532$	−7.25116	+	3.49197i	−0.314377	+	0.151396i
$533$	−1.54430	+	0.743694i	−0.0668909	+	0.0322130i
$534$	2.18446	+	2.73922i	0.0945307	+	0.118538i
$535$	3.11767	+	13.6594i	0.134789	+	0.590548i
$536$	1.51072	−	6.61888i	0.0652530	−	0.285892i
$537$	−4.09084	−	5.12975i	−0.176533	−	0.221365i
$538$	−5.97909	−	7.49754i	−0.257777	−	0.323242i
$539$	6.23480	−	27.3164i	0.268552	−	1.17660i
$540$	0.461278	+	2.02099i	0.0198502	+	0.0869696i
$541$	9.34612	+	11.7197i	0.401821	+	0.503868i	0.941039	−	0.338299i	$-0.109851\pi$
$541$	9.34612	+	11.7197i	0.401821	+	0.503868i	−0.539218	+	0.842166i	$0.681280\pi$
$542$	13.8192	−	6.65496i	0.593584	−	0.285855i
$543$	2.01683	−	0.971256i	0.0865506	−	0.0416806i
$544$	−1.00756	−	4.41439i	−0.0431986	−	0.189266i
$545$	−11.9990	+	15.0462i	−0.513979	+	0.644509i
$546$	2.10461	+	1.01353i	0.0900689	+	0.0433749i
$547$	−11.0821	+	13.8965i	−0.473835	+	0.594170i	−0.960105	−	0.279638i	$-0.909785\pi$
$547$	−11.0821	+	13.8965i	−0.473835	+	0.594170i	0.486271	+	0.873808i	$0.338357\pi$
$548$	−4.65064	+	20.3758i	−0.198666	+	0.870411i
$549$	10.3510	−	4.98480i	0.441772	−	0.212746i
$550$	1.02677	−	4.49857i	0.0437816	−	0.191820i
$551$	−13.4884	−	6.49565i	−0.574623	−	0.276724i
$552$	1.13663			0.0483782
$553$	2.96429			0.126054
$554$	14.7605	+	7.10826i	0.627112	+	0.302001i
$555$	−0.538546	−	2.35953i	−0.0228600	−	0.100156i
$556$	8.11485	+	10.1757i	0.344146	+	0.431546i
$557$	−13.3503	+	16.7408i	−0.565672	+	0.709330i	−0.979595	−	0.200982i	$-0.935587\pi$
$557$	−13.3503	+	16.7408i	−0.565672	+	0.709330i	0.413923	+	0.910312i	$0.364158\pi$
$558$	6.82483			0.288918
$559$	−26.3190	+	36.5930i	−1.11318	+	1.54772i
$560$	−0.963199			−0.0407026
$561$	−4.59595	+	5.76314i	−0.194041	+	0.243320i
$562$	−4.39885	−	5.51598i	−0.185554	−	0.232678i
$563$	−8.75731	−	38.3683i	−0.369076	−	1.61703i	−0.729321	−	0.684172i	$-0.760164\pi$
$563$	−8.75731	−	38.3683i	−0.369076	−	1.61703i	0.360244	−	0.932858i	$-0.382693\pi$
$564$	−2.00960	−	0.967775i	−0.0846196	−	0.0407507i
$565$	−8.06211			−0.339175
$566$	21.1676			0.889739
$567$	6.85155	+	3.29953i	0.287738	+	0.138567i
$568$	−1.04558	+	4.58097i	−0.0438714	+	0.192213i
$569$	32.6305	−	15.7140i	1.36794	−	0.658767i	0.401550	−	0.915837i	$-0.368471\pi$
$569$	32.6305	−	15.7140i	1.36794	−	0.658767i	0.966393	+	0.257070i	$0.0827571\pi$
$570$	−0.655991	+	2.87408i	−0.0274764	+	0.120382i
$571$	27.2744	−	34.2010i	1.14140	−	1.43127i	0.255849	−	0.966717i	$-0.417645\pi$
$571$	27.2744	−	34.2010i	1.14140	−	1.43127i	0.885547	−	0.464549i	$-0.153784\pi$
$572$	28.5767	+	13.7618i	1.19485	+	0.575410i
$573$	4.74365	−	5.94835i	0.198169	−	0.248496i
$574$	0.0534451	+	0.234158i	0.00223076	+	0.00977358i
$575$	2.90258	−	1.39781i	0.121046	−	0.0582926i
$576$	2.59076	−	1.24764i	0.107948	−	0.0519851i
$577$	25.2577	+	31.6722i	1.05149	+	1.31853i	0.946021	+	0.324107i	$0.105064\pi$
$577$	25.2577	+	31.6722i	1.05149	+	1.31853i	0.105471	+	0.994422i	$0.466365\pi$
$578$	0.779278	+	3.41424i	0.0324137	+	0.142014i
$579$	−1.45123	+	6.35827i	−0.0603112	+	0.264241i
$580$	−1.11711	−	1.40082i	−0.0463856	−	0.0581657i
$581$	−2.15251	−	2.69917i	−0.0893013	−	0.111980i
$582$	−0.664809	+	2.91272i	−0.0275572	+	0.120736i
$583$	−5.49349	−	24.0685i	−0.227517	−	0.996817i
$584$	5.26819	+	6.60610i	0.217999	+	0.273362i
$585$	−17.8085	+	8.57610i	−0.736289	+	0.354578i
$586$	17.0253	−	8.19893i	0.703307	−	0.338695i
$587$	7.30043	+	31.9853i	0.301321	+	1.32017i	0.868135	+	0.496327i	$0.165318\pi$
$587$	7.30043	+	31.9853i	0.301321	+	1.32017i	−0.566815	+	0.823845i	$0.691824\pi$
$588$	−1.33575	+	1.67497i	−0.0550853	+	0.0690748i
$589$	17.8676	+	8.60459i	0.736222	+	0.354546i
$590$	0.645182	−	0.809033i	0.0265617	−	0.0333074i
$591$	0.129877	−	0.569027i	0.00534241	−	0.0234066i
$592$	−6.18040	+	2.97632i	−0.254013	+	0.122326i
$593$	2.43038	−	10.6482i	0.0998036	−	0.437268i	−0.900195	−	0.435487i	$-0.856576\pi$
$593$	2.43038	−	10.6482i	0.0998036	−	0.437268i	0.999998	−	0.00178079i	$-0.000566842\pi$
$594$	−8.61794	−	4.15018i	−0.353599	−	0.170284i
$595$	4.36129			0.178795
$596$	9.36689			0.383683
$597$	−2.61354	−	1.25861i	−0.106965	−	0.0515116i
$598$	4.92770	+	21.5897i	0.201509	+	0.882868i
$599$	23.0368	+	28.8873i	0.941259	+	1.18030i	0.983448	+	0.181192i	$0.0579954\pi$
$599$	23.0368	+	28.8873i	0.941259	+	1.18030i	−0.0421890	+	0.999110i	$0.513433\pi$
$600$	−0.219976	+	0.275841i	−0.00898047	+	0.0112612i
$601$	−25.0369			−1.02128			−0.510638	−	0.859796i	$-0.670591\pi$
$601$	−25.0369			−1.02128			−0.510638	+	0.859796i	$0.670591\pi$
$602$	4.17839	+	4.73649i	0.170299	+	0.193045i
$603$	−19.5222			−0.795006
$604$	11.7131	−	14.6878i	0.476600	−	0.597637i
$605$	6.41657	+	8.04613i	0.260871	+	0.327122i
$606$	−0.503174	−	2.20455i	−0.0204400	−	0.0895537i
$607$	−29.7549	−	14.3292i	−1.20771	−	0.581604i	−0.281848	−	0.959459i	$-0.590947\pi$
$607$	−29.7549	−	14.3292i	−1.20771	−	0.581604i	−0.925865	+	0.377855i	$0.876662\pi$
$608$	8.35567			0.338867
$609$	0.608877			0.0246729
$610$	3.59971	+	1.73353i	0.145748	+	0.0701885i
$611$	9.66999	−	42.3670i	0.391206	−	1.71399i
$612$	−11.7307	+	5.64922i	−0.474187	+	0.228356i
$613$	0.0895275	−	0.392245i	0.00361598	−	0.0158426i	−0.973088	−	0.230435i	$-0.925985\pi$
$613$	0.0895275	−	0.392245i	0.00361598	−	0.0158426i	0.976704	+	0.214592i	$0.0688423\pi$
$614$	1.50904	−	1.89228i	0.0609000	−	0.0763662i
$615$	0.0792640	+	0.0381716i	0.00319623	+	0.00153923i
$616$	2.77107	−	3.47481i	0.111650	−	0.140004i
$617$	7.56158	+	33.1294i	0.304418	+	1.33374i	0.863383	+	0.504550i	$0.168342\pi$
$617$	7.56158	+	33.1294i	0.304418	+	1.33374i	−0.558965	+	0.829191i	$0.688801\pi$
$618$	−2.89960	+	1.39637i	−0.116639	+	0.0561704i
$619$	−3.51884	+	1.69458i	−0.141434	+	0.0681110i	−0.503262	−	0.864134i	$-0.667867\pi$
$619$	−3.51884	+	1.69458i	−0.141434	+	0.0681110i	0.361828	+	0.932245i	$0.382153\pi$
$620$	1.47981	+	1.85562i	0.0594304	+	0.0745234i
$621$	−1.48606	−	6.51086i	−0.0596336	−	0.261272i
$622$	−4.69557	+	20.5726i	−0.188275	+	0.824887i
$623$	5.96368	+	7.47821i	0.238930	+	0.299608i
$624$	−1.51208	−	1.89609i	−0.0605316	−	0.0759043i
$625$	−0.222521	+	0.974928i	−0.00890084	+	0.0389971i
$626$	1.41652	+	6.20618i	0.0566155	+	0.248049i
$627$	−8.48122	−	10.6351i	−0.338707	−	0.424725i
$628$	−5.41503	+	2.60774i	−0.216083	+	0.104060i
$629$	27.9843	−	13.4765i	1.11581	−	0.537345i
$630$	0.616316	+	2.70026i	0.0245546	+	0.107581i
$631$	−16.1194	+	20.2130i	−0.641702	+	0.804668i	−0.991215	−	0.132263i	$-0.957776\pi$
$631$	−16.1194	+	20.2130i	−0.641702	+	0.804668i	0.349513	+	0.936932i	$0.386347\pi$
$632$	−2.77277	−	1.33530i	−0.110295	−	0.0531153i
$633$	0.446852	−	0.560335i	0.0177608	−	0.0222713i
$634$	−2.57158	+	11.2668i	−0.102130	+	0.447462i
$635$	7.43807	−	3.58198i	0.295171	−	0.142147i
$636$	−0.420041	+	1.84032i	−0.0166557	+	0.0729734i
$637$	−37.6062	−	18.1102i	−1.49001	−	0.717551i
$638$	8.26741			0.327310
$639$	13.5114			0.534504
$640$	0.900969	+	0.433884i	0.0356139	+	0.0171508i
$641$	−5.95406	−	26.0864i	−0.235171	−	1.03035i	−0.945280	−	0.326260i	$-0.894211\pi$
$641$	−5.95406	−	26.0864i	−0.235171	−	1.03035i	0.710109	−	0.704092i	$-0.248646\pi$
$642$	3.08201	+	3.86472i	0.121637	+	0.152528i
$643$	17.4356	−	21.8635i	0.687592	−	0.862214i	−0.308436	−	0.951245i	$-0.599806\pi$
$643$	17.4356	−	21.8635i	0.687592	−	0.862214i	0.996029	+	0.0890313i	$0.0283771\pi$
$644$	3.10306			0.122278
$645$	2.31070	−	0.114886i	0.0909837	−	0.00452364i
$646$	−37.8338			−1.48855
$647$	12.5292	−	15.7111i	0.492574	−	0.617668i	−0.471962	−	0.881619i	$-0.656454\pi$
$647$	12.5292	−	15.7111i	0.492574	−	0.617668i	0.964536	+	0.263951i	$0.0850256\pi$
$648$	−4.92257	−	6.17271i	−0.193377	−	0.242487i
$649$	1.06249	+	4.65508i	0.0417065	+	0.182728i
$650$	−6.19312	−	2.98245i	−0.242914	−	0.116981i
$651$	−0.806560			−0.0316116
$652$	−3.16800			−0.124069
$653$	16.5493	+	7.96973i	0.647625	+	0.311880i	0.728705	−	0.684828i	$-0.240123\pi$
$653$	16.5493	+	7.96973i	0.647625	+	0.311880i	−0.0810798	+	0.996708i	$0.525837\pi$
$654$	−1.51088	+	6.61961i	−0.0590802	+	0.258847i
$655$	3.59304	−	1.73032i	0.140392	−	0.0676091i
$656$	0.0554871	−	0.243105i	0.00216641	−	0.00949165i
$657$	15.1488	−	18.9960i	0.591011	−	0.741104i
$658$	−5.48632	−	2.64207i	−0.213879	−	0.102999i
$659$	−6.75108	+	8.46559i	−0.262985	+	0.329773i	−0.895739	−	0.444580i	$-0.853353\pi$
$659$	−6.75108	+	8.46559i	−0.262985	+	0.329773i	0.632754	+	0.774353i	$0.281924\pi$
$660$	−0.362258	−	1.58716i	−0.0141009	−	0.0617800i
$661$	−39.5257	+	19.0346i	−1.53737	+	0.740358i	−0.995009	−	0.0997870i	$-0.968184\pi$
$661$	−39.5257	+	19.0346i	−1.53737	+	0.740358i	−0.542361	+	0.840145i	$0.682470\pi$
$662$	23.0627	−	11.1064i	0.896358	−	0.431663i
$663$	6.84657	+	8.58533i	0.265899	+	0.333427i
$664$	0.797575	+	3.49440i	0.0309519	+	0.135609i
$665$	−1.79089	+	7.84639i	−0.0694476	+	0.304270i
$666$	12.2985	+	15.4219i	0.476558	+	0.597585i
$667$	3.59891	+	4.51289i	0.139350	+	0.174740i
$668$	5.70729	−	25.0053i	0.220822	−	0.967482i
$669$	0.657048	+	2.87872i	0.0254030	+	0.111298i
$670$	−4.23293	−	5.30793i	−0.163533	−	0.205063i
$671$	−16.6100	+	7.99895i	−0.641221	+	0.308796i
$672$	−0.306176	+	0.147447i	−0.0118110	+	0.00568788i
$673$	−7.05568	−	30.9130i	−0.271977	−	1.19161i	−0.907676	−	0.419671i	$-0.862146\pi$
$673$	−7.05568	−	30.9130i	−0.271977	−	1.19161i	0.635700	−	0.771936i	$-0.280712\pi$
$674$	10.8356	−	13.5874i	0.417371	−	0.523366i
$675$	1.86768	+	0.899426i	0.0718869	+	0.0346189i
$676$	21.3544	−	26.7776i	0.821323	−	1.02991i
$677$	−4.64665	+	20.3583i	−0.178585	+	0.782433i	0.803699	+	0.595036i	$0.202862\pi$
$677$	−4.64665	+	20.3583i	−0.178585	+	0.782433i	−0.982284	+	0.187397i	$0.939995\pi$
$678$	−2.56274	+	1.23415i	−0.0984213	+	0.0473972i
$679$	−1.81496	+	7.95186i	−0.0696518	+	0.305165i
$680$	−4.07951	−	1.96459i	−0.156442	−	0.0753386i
$681$	−2.47786			−0.0949519
$682$	−10.9516			−0.419358
$683$	34.6624	+	16.6925i	1.32632	+	0.638722i	0.956866	−	0.290528i	$-0.0938310\pi$
$683$	34.6624	+	16.6925i	1.32632	+	0.638722i	0.369452	+	0.929250i	$0.379545\pi$
$684$	−5.34649	−	23.4245i	−0.204428	−	0.895659i
$685$	13.0308	+	16.3401i	0.497881	+	0.624324i
$686$	−7.85047	+	9.84418i	−0.299732	+	0.375852i
$687$	10.4026			0.396885
$688$	−1.77483	−	6.31268i	−0.0676648	−	0.240669i
$689$	−36.7769			−1.40109
$690$	0.708678	−	0.888654i	0.0269789	−	0.0338305i
$691$	1.52161	+	1.90804i	0.0578848	+	0.0725852i	0.809931	−	0.586525i	$-0.199504\pi$
$691$	1.52161	+	1.90804i	0.0578848	+	0.0725852i	−0.752046	+	0.659110i	$0.770933\pi$
$692$	4.32374	+	18.9436i	0.164364	+	0.720126i
$693$	−11.5145	−	5.54508i	−0.437399	−	0.210640i
$694$	−12.6614			−0.480620
$695$	13.0152			0.493695
$696$	−0.569538	−	0.274275i	−0.0215883	−	0.0103964i
$697$	−0.251241	+	1.10076i	−0.00951643	+	0.0416942i
$698$	12.3613	−	5.95290i	0.467883	−	0.225321i
$699$	−1.36440	+	5.97783i	−0.0516064	+	0.226102i
$700$	−0.600545	+	0.753059i	−0.0226985	+	0.0284630i
$701$	11.3309	+	5.45668i	0.427963	+	0.206096i	0.635450	−	0.772142i	$-0.280814\pi$
$701$	11.3309	+	5.45668i	0.427963	+	0.206096i	−0.207488	+	0.978238i	$0.566529\pi$
$702$	−8.88426	+	11.1405i	−0.335315	+	0.420471i
$703$	12.7544	+	55.8806i	0.481040	+	2.10758i
$704$	−4.15730	+	2.00205i	−0.156684	+	0.0754552i
$705$	−2.00960	+	0.967775i	−0.0756861	+	0.0364485i
$706$	2.92660	+	3.66984i	0.110144	+	0.138116i
$707$	−1.37369	−	6.01853i	−0.0516629	−	0.226350i
$708$	0.0812399	−	0.355935i	0.00305318	−	0.0133769i
$709$	31.6021	+	39.6278i	1.18684	+	1.48825i	0.833286	+	0.552842i	$0.186457\pi$
$709$	31.6021	+	39.6278i	1.18684	+	1.48825i	0.353557	+	0.935413i	$0.384972\pi$
$710$	2.92964	+	3.67365i	0.109947	+	0.137870i
$711$	−1.96921	+	8.62768i	−0.0738512	+	0.323563i
$712$	−2.20973	−	9.68147i	−0.0828132	−	0.362828i
$713$	−4.76737	−	5.97809i	−0.178539	−	0.223881i
$714$	1.38634	−	0.667626i	0.0518825	−	0.0249853i
$715$	28.5767	−	13.7618i	1.06871	−	0.514662i
$716$	4.13817	+	18.1305i	0.154651	+	0.677569i
$717$	1.21688	−	1.52592i	0.0454454	−	0.0569867i
$718$	24.5885	+	11.8412i	0.917636	+	0.441910i
$719$	12.3691	−	15.5103i	0.461288	−	0.578437i	−0.495726	−	0.868479i	$-0.665098\pi$
$719$	12.3691	−	15.5103i	0.461288	−	0.578437i	0.957014	+	0.290042i	$0.0936692\pi$
$720$	0.639864	−	2.80343i	0.0238463	−	0.104478i
$721$	−7.91605	+	3.81217i	−0.294809	+	0.141973i
$722$	11.3079	−	49.5432i	0.420837	−	1.84381i
$723$	−6.67369	−	3.21388i	−0.248197	−	0.119526i
$724$	−6.34475			−0.235801
$725$	−1.79171			−0.0665425
$726$	3.27136	+	1.57541i	0.121412	+	0.0584688i
$727$	−5.52168	−	24.1921i	−0.204788	−	0.897234i	−0.967973	−	0.251054i	$-0.919223\pi$
$727$	−5.52168	−	24.1921i	−0.204788	−	0.897234i	0.763185	−	0.646180i	$-0.223634\pi$
$728$	−4.12805	−	5.17642i	−0.152996	−	0.191851i
$729$	−12.7870	+	16.0344i	−0.473591	+	0.593865i
$730$	8.44952			0.312731
$731$	8.03629	+	28.5833i	0.297233	+	1.05719i
$732$	1.40962			0.0521012
$733$	−13.4924	+	16.9189i	−0.498353	+	0.624915i	−0.965857	−	0.259076i	$-0.916582\pi$
$733$	−13.4924	+	16.9189i	−0.498353	+	0.624915i	0.467504	+	0.883991i	$0.345153\pi$
$734$	8.86614	+	11.1178i	0.327255	+	0.410365i
$735$	0.476723	+	2.08866i	0.0175842	+	0.0770413i
$736$	−2.90258	−	1.39781i	−0.106990	−	0.0515238i
$737$	31.3267			1.15393
$738$	−0.717031			−0.0263943
$739$	19.9529	+	9.60882i	0.733980	+	0.353466i	0.763248	−	0.646105i	$-0.223603\pi$
$739$	19.9529	+	9.60882i	0.733980	+	0.353466i	−0.0292680	+	0.999572i	$0.509318\pi$
$740$	−1.52643	+	6.68774i	−0.0561128	+	0.245846i
$741$	−18.2573	+	8.79225i	−0.670699	+	0.322992i
$742$	−1.14673	+	5.02417i	−0.0420979	+	0.184443i
$743$	27.4850	−	34.4652i	1.00833	−	1.26440i	0.0441849	−	0.999023i	$-0.485931\pi$
$743$	27.4850	−	34.4652i	1.00833	−	1.26440i	0.964144	−	0.265381i	$-0.0854976\pi$
$744$	0.754450	+	0.363324i	0.0276595	+	0.0133201i
$745$	5.84016	−	7.32333i	0.213967	−	0.268306i
$746$	0.604318	+	2.64769i	0.0221256	+	0.0969388i
$747$	9.28597	−	4.47189i	0.339756	−	0.163618i
$748$	18.8239	−	9.06513i	0.688271	−	0.331454i
$749$	8.41405	+	10.5509i	0.307443	+	0.385521i
$750$	0.0785084	+	0.343968i	0.00286672	+	0.0125599i
$751$	6.89770	−	30.2208i	0.251701	−	1.10277i	−0.678175	−	0.734900i	$-0.737229\pi$
$751$	6.89770	−	30.2208i	0.251701	−	1.10277i	0.929876	−	0.367873i	$-0.119914\pi$
$752$	3.94171	+	4.94275i	0.143739	+	0.180244i
$753$	−1.67688	−	2.10275i	−0.0611091	−	0.0766284i
$754$	2.74056	−	12.0072i	0.0998051	−	0.437275i
$755$	−4.18036	−	18.3154i	−0.152139	−	0.666564i
$756$	1.24491	+	1.56107i	0.0452769	+	0.0567754i
$757$	−5.25202	+	2.52924i	−0.190888	+	0.0919267i	−0.526886	−	0.849936i	$-0.676641\pi$
$757$	−5.25202	+	2.52924i	−0.190888	+	0.0919267i	0.335998	+	0.941863i	$0.390926\pi$
$758$	−10.3335	+	4.97635i	−0.375329	+	0.180749i
$759$	1.16706	+	5.11321i	0.0423615	+	0.185598i
$760$	5.20968	−	6.53273i	0.188975	−	0.236967i
$761$	−24.8569	−	11.9704i	−0.901061	−	0.433928i	−0.0747889	−	0.997199i	$-0.523828\pi$
$761$	−24.8569	−	11.9704i	−0.901061	−	0.433928i	−0.826272	+	0.563271i	$0.809543\pi$
$762$	1.81604	−	2.27724i	0.0657881	−	0.0824957i
$763$	−4.12478	+	18.0719i	−0.149327	+	0.654245i
$764$	−19.4289	+	9.35645i	−0.702912	+	0.338505i
$765$	−2.89725	+	12.6937i	−0.104750	+	0.458941i
$766$	18.3082	+	8.81677i	0.661502	+	0.318563i
$767$	7.11300			0.256836
$768$	0.352814			0.0127311
$769$	−45.8151	−	22.0634i	−1.65214	−	0.795626i	−0.999272	−	0.0381508i	$-0.987853\pi$
$769$	−45.8151	−	22.0634i	−1.65214	−	0.795626i	−0.652863	−	0.757476i	$-0.726432\pi$
$770$	−0.988983	−	4.33302i	−0.0356405	−	0.156151i
$771$	−2.80800	−	3.52113i	−0.101128	−	0.126810i
$772$	11.5253	−	14.4522i	0.414803	−	0.520146i
$773$	−1.75437			−0.0631002			−0.0315501	−	0.999502i	$-0.510044\pi$
$773$	−1.75437			−0.0631002			−0.0315501	+	0.999502i	$0.510044\pi$
$774$	−16.5615	+	9.01487i	−0.595291	+	0.324033i
$775$	2.37342			0.0852559
$776$	5.27971	−	6.62054i	0.189530	−	0.237664i
$777$	−1.45344	−	1.82256i	−0.0521419	−	0.0653839i
$778$	7.97332	+	34.9334i	0.285857	+	1.25242i
$779$	−1.87721	−	0.904015i	−0.0672579	−	0.0323897i
$780$	−2.42519			−0.0868357
$781$	−21.6814			−0.775820
$782$	13.1426	+	6.32916i	0.469979	+	0.226330i
$783$	−0.826477	+	3.62103i	−0.0295359	+	0.129405i
$784$	5.47091	−	2.63465i	0.195390	−	0.0940946i
$785$	−1.33740	+	5.85955i	−0.0477340	+	0.209136i
$786$	0.877258	−	1.10005i	0.0312908	−	0.0392374i
$787$	−37.5378	−	18.0773i	−1.33808	−	0.644385i	−0.378441	−	0.925625i	$-0.623540\pi$
$787$	−37.5378	−	18.0773i	−1.33808	−	0.644385i	−0.959637	+	0.281241i	$0.909254\pi$
$788$	−1.03144	+	1.29338i	−0.0367435	+	0.0460749i
$789$	2.19223	+	9.60477i	0.0780453	+	0.341939i
$790$	−2.77277	+	1.33530i	−0.0986509	+	0.0475078i
$791$	−6.99640	+	3.36929i	−0.248763	+	0.119798i
$792$	8.27271	+	10.3737i	0.293958	+	0.368612i
$793$	6.11123	+	26.7750i	0.217016	+	0.950809i
$794$	−3.80990	+	16.6923i	−0.135208	+	0.592386i
$795$	1.17693	+	1.47582i	0.0417414	+	0.0523420i
$796$	5.12628	+	6.42816i	0.181696	+	0.227840i
$797$	8.61560	−	37.7474i	0.305180	−	1.33708i	−0.557013	−	0.830504i	$-0.688053\pi$
$797$	8.61560	−	37.7474i	0.305180	−	1.33708i	0.862194	−	0.506579i	$-0.169090\pi$
$798$	0.631850	+	2.76831i	0.0223672	+	0.0979973i
$799$	−17.8477	−	22.3804i	−0.631408	−	0.791760i
$800$	0.900969	−	0.433884i	0.0318541	−	0.0153401i
$801$	−25.7274	+	12.3896i	−0.909032	+	0.437767i
$802$	7.89395	+	34.5856i	0.278745	+	1.22126i
$803$	−24.3088	+	30.4822i	−0.857838	+	1.07570i
$804$	−2.15808	−	1.03928i	−0.0761096	−	0.0366525i
$805$	1.93472	−	2.42607i	0.0681901	−	0.0855077i
$806$	−3.63033	+	15.9055i	−0.127873	+	0.560248i
$807$	−3.04832	+	1.46799i	−0.107306	+	0.0516759i
$808$	−1.42617	+	6.24848i	−0.0501726	+	0.219821i
$809$	−9.80099	−	4.71991i	−0.344585	−	0.165943i	0.253584	−	0.967313i	$-0.418390\pi$
$809$	−9.80099	−	4.71991i	−0.344585	−	0.165943i	−0.598169	+	0.801370i	$0.704105\pi$
$810$	−7.89520			−0.277409
$811$	24.4431			0.858314			0.429157	−	0.903230i	$-0.358811\pi$
$811$	24.4431			0.858314			0.429157	+	0.903230i	$0.358811\pi$
$812$	−1.55487	−	0.748785i	−0.0545652	−	0.0262772i
$813$	−1.20417	−	5.27582i	−0.0422322	−	0.185031i
$814$	−19.7350	−	24.7470i	−0.691713	−	0.867380i
$815$	−1.97522	+	2.47684i	−0.0691888	+	0.0867601i
$816$	−1.59751			−0.0559241
$817$	−54.7242	+	2.72085i	−1.91456	+	0.0951904i
$818$	29.9698			1.04787
$819$	−11.8703	+	14.8849i	−0.414782	+	0.520120i
$820$	−0.155471	−	0.194955i	−0.00542929	−	0.00680812i
$821$	−5.92714	−	25.9685i	−0.206858	−	0.906306i	−0.966642	−	0.256130i	$-0.917552\pi$
$821$	−5.92714	−	25.9685i	−0.206858	−	0.906306i	0.759784	−	0.650176i	$-0.225305\pi$
$822$	6.64350	+	3.19934i	0.231719	+	0.111590i
$823$	−45.8149			−1.59701			−0.798503	−	0.601991i	$-0.794374\pi$
$823$	−45.8149			−1.59701			−0.798503	+	0.601991i	$0.794374\pi$
$824$	9.12185			0.317775
$825$	−1.46675	−	0.706351i	−0.0510658	−	0.0245920i
$826$	0.221789	−	0.971721i	0.00771703	−	0.0338105i
$827$	−25.0085	+	12.0434i	−0.869629	+	0.418791i	−0.814826	−	0.579706i	$-0.803167\pi$
$827$	−25.0085	+	12.0434i	−0.869629	+	0.418791i	−0.0548034	+	0.998497i	$0.517453\pi$
$828$	−2.06140	+	9.03157i	−0.0716385	+	0.313869i
$829$	14.9984	−	18.8074i	0.520915	−	0.653207i	−0.449888	−	0.893085i	$-0.648536\pi$
$829$	14.9984	−	18.8074i	0.520915	−	0.653207i	0.970803	+	0.239878i	$0.0771075\pi$
$830$	3.22931	+	1.55516i	0.112091	+	0.0539803i
$831$	3.60384	−	4.51907i	0.125016	−	0.156765i
$832$	1.52958	+	6.70151i	0.0530285	+	0.232333i
$833$	−24.7718	+	11.9295i	−0.858292	+	0.413332i
$834$	4.13720	−	1.99237i	0.143259	−	0.0689901i
$835$	−15.9915	−	20.0527i	−0.553407	−	0.693951i
$836$	8.57935	+	37.5886i	0.296723	+	1.30003i
$837$	1.09481	−	4.79667i	0.0378421	−	0.165797i
$838$	−15.0756	−	18.9042i	−0.520779	−	0.653036i
$839$	1.46092	+	1.83193i	0.0504365	+	0.0632454i	0.806410	−	0.591357i	$-0.201408\pi$
$839$	1.46092	+	1.83193i	0.0504365	+	0.0632454i	−0.755973	+	0.654602i	$0.772836\pi$
$840$	−0.0756193	+	0.331310i	−0.00260911	+	0.0114313i
$841$	5.73876	+	25.1432i	0.197888	+	0.867006i
$842$	−9.48169	−	11.8897i	−0.326761	−	0.409745i
$843$	−2.24267	+	1.08001i	−0.0772415	+	0.0371976i
$844$	−1.83020	+	0.881378i	−0.0629981	+	0.0303383i
$845$	−7.62129	−	33.3911i	−0.262180	−	1.14869i
$846$	11.3345	−	14.2130i	0.389687	−	0.488653i
$847$	8.93099	+	4.30094i	0.306872	+	0.147782i
$848$	3.33584	−	4.18301i	0.114553	−	0.143645i
$849$	1.66183	−	7.28096i	0.0570339	−	0.249882i
$850$	−4.07951	+	1.96459i	−0.139926	+	0.0673849i
$851$	4.91758	−	21.5453i	0.168572	−	0.738564i
$852$	1.49362	+	0.719289i	0.0511706	+	0.0246424i
$853$	4.27052			0.146220			0.0731099	−	0.997324i	$-0.476708\pi$
$853$	4.27052			0.146220			0.0731099	+	0.997324i	$0.476708\pi$
$854$	3.84834			0.131688
$855$	−21.6475	−	10.4249i	−0.740329	−	0.356524i
$856$	−3.11767	−	13.6594i	−0.106560	−	0.466869i
$857$	14.5682	+	18.2679i	0.497640	+	0.624021i	0.965695	−	0.259678i	$-0.0836165\pi$
$857$	14.5682	+	18.2679i	0.497640	+	0.624021i	−0.468055	+	0.883699i	$0.655045\pi$
$858$	6.97713	−	8.74904i	0.238195	−	0.298687i
$859$	−18.4795			−0.630514			−0.315257	−	0.949006i	$-0.602091\pi$
$859$	−18.4795			−0.630514			−0.315257	+	0.949006i	$0.602091\pi$
$860$	−6.04204	−	2.54827i	−0.206032	−	0.0868954i
$861$	0.0847388			0.00288789
$862$	1.18925	−	1.49127i	0.0405060	−	0.0507929i
$863$	−26.4503	−	33.1677i	−0.900380	−	1.12904i	−0.991094	−	0.133164i	$-0.957486\pi$
$863$	−26.4503	−	33.1677i	−0.900380	−	1.12904i	0.0907137	−	0.995877i	$-0.471085\pi$
$864$	−0.461278	−	2.02099i	−0.0156930	−	0.0687555i
$865$	17.5065	+	8.43068i	0.595238	+	0.286652i
$866$	−15.0295			−0.510722
$867$	1.23557			0.0419621
$868$	2.05969	+	0.991893i	0.0699103	+	0.0336670i
$869$	3.15993	−	13.8446i	0.107193	−	0.469645i
$870$	−0.569538	+	0.274275i	−0.0193092	+	0.00929880i
$871$	10.3844	−	45.4972i	0.351863	−	1.54161i
$872$	11.9990	−	15.0462i	0.406336	−	0.509529i
$873$	−21.9385	−	10.5650i	−0.742506	−	0.357572i
$874$	−16.7836	+	21.0459i	−0.567713	+	0.711890i
$875$	0.214332	+	0.939050i	0.00724574	+	0.0317457i
$876$	2.68588	−	1.29345i	0.0907476	−	0.0437017i
$877$	−12.5976	+	6.06669i	−0.425391	+	0.204858i	−0.634316	−	0.773074i	$-0.718718\pi$
$877$	−12.5976	+	6.06669i	−0.425391	+	0.204858i	0.208924	+	0.977932i	$0.433004\pi$
$878$	17.3987	+	21.8173i	0.587179	+	0.736299i
$879$	−1.48354	−	6.49983i	−0.0500387	−	0.219234i
$880$	−1.02677	+	4.49857i	−0.0346124	+	0.151647i
$881$	24.6203	+	30.8729i	0.829479	+	1.04013i	0.998513	+	0.0545231i	$0.0173638\pi$
$881$	24.6203	+	30.8729i	0.829479	+	1.04013i	−0.169034	+	0.985610i	$0.554065\pi$
$882$	−10.8867	−	13.6515i	−0.366574	−	0.459669i
$883$	5.12173	−	22.4398i	0.172360	−	0.755158i	−0.812663	−	0.582734i	$-0.801983\pi$
$883$	5.12173	−	22.4398i	0.172360	−	0.755158i	0.985023	−	0.172424i	$-0.0551600\pi$
$884$	−6.92579	−	30.3439i	−0.232940	−	1.02057i
$885$	−0.227629	−	0.285438i	−0.00765167	−	0.00959489i
$886$	2.37081	−	1.14172i	0.0796489	−	0.0383569i
$887$	−21.6264	+	10.4147i	−0.726143	+	0.349692i	−0.760166	−	0.649729i	$-0.774882\pi$
$887$	−21.6264	+	10.4147i	−0.726143	+	0.349692i	0.0340229	+	0.999421i	$0.489168\pi$
$888$	0.538546	+	2.35953i	0.0180724	+	0.0791805i
$889$	4.95788	−	6.21698i	0.166282	−	0.208511i
$890$	−8.94702	−	4.30866i	−0.299905	−	0.144427i
$891$	22.7140	−	28.4825i	0.760949	−	0.954199i
$892$	1.86231	−	8.15931i	0.0623547	−	0.273194i
$893$	47.5934	−	22.9198i	1.59265	−	0.766981i
$894$	0.735380	−	3.22191i	0.0245948	−	0.107757i
$895$	16.7551	+	8.06884i	0.560062	+	0.269711i
$896$	0.963199			0.0321782
$897$	7.81303			0.260869
$898$	17.5981	+	8.47479i	0.587256	+	0.282808i
$899$	0.946268	+	4.14587i	0.0315598	+	0.138272i
$900$	−1.79286	−	2.24817i	−0.0597620	−	0.0749391i
$901$	−15.1044	+	18.9403i	−0.503200	+	0.630993i
$902$	1.15060			0.0383107
$903$	1.95724	−	1.06538i	0.0651329	−	0.0354536i
$904$	8.06211			0.268142
$905$	−3.95589	+	4.96053i	−0.131498	+	0.164894i
$906$	−4.13255	−	5.18205i	−0.137295	−	0.172162i
$907$	0.805579	+	3.52947i	0.0267488	+	0.117194i	0.986540	−	0.163522i	$-0.0522853\pi$
$907$	0.805579	+	3.52947i	0.0267488	+	0.117194i	−0.959791	+	0.280716i	$0.909428\pi$
$908$	6.32764	+	3.04723i	0.209990	+	0.101126i
$909$	18.4297			0.611275
$910$	−6.62088			−0.219480
$911$	37.1913	+	17.9104i	1.23220	+	0.593397i	0.932684	−	0.360693i	$-0.117460\pi$
$911$	37.1913	+	17.9104i	1.23220	+	0.593397i	0.299518	+	0.954091i	$0.403174\pi$
$912$	0.655991	−	2.87408i	0.0217220	−	0.0951704i
$913$	−14.9009	+	7.17589i	−0.493148	+	0.237487i
$914$	−3.27346	+	14.3420i	−0.108276	+	0.474390i
$915$	0.878886	−	1.10209i	0.0290551	−	0.0364339i
$916$	−26.5648	−	12.7929i	−0.877727	−	0.422691i
$917$	2.39496	−	3.00318i	0.0790885	−	0.0991738i
$918$	2.08863	+	9.15088i	0.0689350	+	0.302024i
$919$	−52.6136	+	25.3374i	−1.73556	+	0.835803i	−0.751104	+	0.660184i	$0.770478\pi$
$919$	−52.6136	+	25.3374i	−1.73556	+	0.835803i	−0.984458	+	0.175619i	$0.943807\pi$
$920$	−2.90258	+	1.39781i	−0.0956951	+	0.0460843i
$921$	−0.532411	−	0.667622i	−0.0175435	−	0.0219989i
$922$	−6.33519	−	27.7563i	−0.208638	−	0.914104i
$923$	−7.18713	+	31.4889i	−0.236567	+	1.03647i
$924$	−0.977671	−	1.22596i	−0.0321630	−	0.0403311i
$925$	4.27697	+	5.36315i	0.140626	+	0.176339i
$926$	0.337893	−	1.48041i	0.0111039	−	0.0486492i
$927$	−5.83674	−	25.5724i	−0.191704	−	0.839909i
$928$	1.11711	+	1.40082i	0.0366710	+	0.0459840i
$929$	−13.3278	+	6.41833i	−0.437271	+	0.210579i	−0.639550	−	0.768749i	$-0.720879\pi$
$929$	−13.3278	+	6.41833i	−0.437271	+	0.210579i	0.202279	+	0.979328i	$0.435165\pi$
$930$	0.754450	−	0.363324i	0.0247394	−	0.0119139i
$931$	−11.2902	−	49.4656i	−0.370022	−	1.62117i
$932$	10.8356	−	13.5875i	0.354933	−	0.445072i
$933$	6.70768	+	3.23025i	0.219600	+	0.105754i
$934$	4.71778	−	5.91591i	0.154371	−	0.193575i
$935$	4.64913	−	20.3692i	0.152043	−	0.666143i
$936$	17.8085	−	8.57610i	0.582088	−	0.280319i
$937$	8.88760	−	38.9391i	0.290345	−	1.27209i	−0.593701	−	0.804686i	$-0.702334\pi$
$937$	8.88760	−	38.9391i	0.290345	−	1.27209i	0.884046	−	0.467399i	$-0.154809\pi$
$938$	−5.89166	−	2.83728i	−0.192370	−	0.0926404i
$939$	2.24594			0.0732933
$940$	6.32201			0.206201
$941$	50.9332	+	24.5281i	1.66037	+	0.799594i	0.998762	+	0.0497475i	$0.0158417\pi$
$941$	50.9332	+	24.5281i	1.66037	+	0.799594i	0.661612	+	0.749846i	$0.269873\pi$
$942$	0.471854	+	2.06733i	0.0153738	+	0.0673572i
$943$	0.500869	+	0.628070i	0.0163105	+	0.0204528i
$944$	−0.645182	+	0.809033i	−0.0209989	+	0.0263318i
$945$	1.99668			0.0649519
$946$	26.5757	−	14.4659i	0.864051	−	0.470326i
$947$	−35.2726			−1.14620			−0.573102	−	0.819484i	$-0.694260\pi$
$947$	−35.2726			−1.14620			−0.573102	+	0.819484i	$0.694260\pi$
$948$	−0.676986	+	0.848914i	−0.0219875	+	0.0275714i
$949$	36.2127	+	45.4093i	1.17551	+	1.47405i
$950$	−1.85931	−	8.14618i	−0.0603241	−	0.264297i
$951$	3.67353	+	1.76908i	0.119122	+	0.0573663i
$952$	−4.36129			−0.141350
$953$	−38.5111			−1.24750			−0.623748	−	0.781626i	$-0.714391\pi$
$953$	−38.5111			−1.24750			−0.623748	+	0.781626i	$0.714391\pi$
$954$	−13.8612	−	6.67522i	−0.448774	−	0.216118i
$955$	−4.79853	+	21.0238i	−0.155277	+	0.680313i
$956$	−4.98407	+	2.40020i	−0.161196	+	0.0776281i
$957$	0.649062	−	2.84373i	0.0209812	−	0.0919246i
$958$	−5.73214	+	7.18787i	−0.185197	+	0.232230i
$959$	18.1371	+	8.73436i	0.585677	+	0.282047i
$960$	0.219976	−	0.275841i	0.00709969	−	0.00890273i
$961$	5.64466	+	24.7309i	0.182086	+	0.797770i
$962$	−42.4831	+	20.4588i	−1.36971	+	0.659618i
$963$	−36.2983	+	17.4803i	−1.16970	+	0.563296i
$964$	13.0900	+	16.4144i	0.421601	+	0.528671i
$965$	−4.11331	−	18.0216i	−0.132412	−	0.580136i
$966$	0.243616	−	1.06735i	0.00783822	−	0.0343415i
$967$	−1.56418	−	1.96142i	−0.0503007	−	0.0630751i	0.756045	−	0.654520i	$-0.227129\pi$
$967$	−1.56418	−	1.96142i	−0.0503007	−	0.0630751i	−0.806345	+	0.591445i	$0.798558\pi$
$968$	−6.41657	−	8.04613i	−0.206236	−	0.258612i
$969$	−2.97027	+	13.0136i	−0.0954189	+	0.418058i
$970$	−1.88431	−	8.25568i	−0.0605014	−	0.265074i
$971$	−36.6177	−	45.9171i	−1.17512	−	1.47355i	−0.849136	−	0.528174i	$-0.822877\pi$
$971$	−36.6177	−	45.9171i	−1.17512	−	1.47355i	−0.325981	−	0.945376i	$-0.605695\pi$
$972$	−8.11271	+	3.90688i	−0.260215	+	0.125313i
$973$	11.2948	−	5.43927i	0.362093	−	0.174375i
$974$	2.73680	+	11.9907i	0.0876928	+	0.384207i
$975$	−1.51208	+	1.89609i	−0.0484253	+	0.0607234i
$976$	−3.59971	−	1.73353i	−0.115224	−	0.0554889i
$977$	8.57340	−	10.7507i	0.274287	−	0.343945i	−0.625540	−	0.780192i	$-0.715121\pi$
$977$	8.57340	−	10.7507i	0.274287	−	0.343945i	0.899827	+	0.436247i	$0.143693\pi$
$978$	−0.248715	+	1.08969i	−0.00795303	+	0.0348445i
$979$	41.2839	−	19.8813i	1.31944	−	0.635408i
$980$	1.35120	−	5.92000i	0.0431626	−	0.189108i
$981$	−49.8587	−	24.0107i	−1.59187	−	0.766602i
$982$	−20.1884			−0.644238
$983$	−29.0847			−0.927658			−0.463829	−	0.885925i	$-0.653525\pi$
$983$	−29.0847			−0.927658			−0.463829	+	0.885925i	$0.653525\pi$
$984$	−0.0792640	−	0.0381716i	−0.00252685	−	0.00121686i
$985$	0.368117	+	1.61282i	0.0117292	+	0.0513889i
$986$	−5.05820	−	6.34278i	−0.161086	−	0.201995i
$987$	−1.33951	+	1.67969i	−0.0426371	+	0.0534652i
$988$	57.4356			1.82727
$989$	19.4651	+	8.20956i	0.618956	+	0.261049i
$990$	13.2684			0.421698
$991$	−18.5370	+	23.2446i	−0.588846	+	0.738389i	−0.983593	−	0.180400i	$-0.942261\pi$
$991$	−18.5370	+	23.2446i	−0.588846	+	0.738389i	0.394747	+	0.918790i	$0.370832\pi$
$992$	−1.47981	−	1.85562i	−0.0469839	−	0.0589159i
$993$	−2.00964	−	8.80479i	−0.0637738	−	0.279411i
$994$	4.07766	+	1.96370i	0.129335	+	0.0622846i
$995$	8.22192			0.260652
$996$	1.26458			0.0400697
$997$	12.8480	+	6.18729i	0.406901	+	0.195953i	0.626128	−	0.779721i	$-0.284639\pi$
$997$	12.8480	+	6.18729i	0.406901	+	0.195953i	−0.219226	+	0.975674i	$0.570353\pi$
$998$	2.51890	−	11.0360i	0.0797344	−	0.349339i
$999$	12.8118	−	6.16981i	0.405346	−	0.195204i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	430.2.k.c.391.2	yes	18
43.11	even	7	inner	430.2.k.c.11.2	✓	18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
430.2.k.c.11.2	✓	18	43.11	even	7	inner
430.2.k.c.391.2	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)

\(f(q)\)	\(=\)	\(q+(-0.623490 + 0.781831i) q^{2} +(0.219976 + 0.275841i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(-0.900969 - 0.433884i) q^{5} -0.352814 q^{6} -0.963199 q^{7} +(0.900969 + 0.433884i) q^{8} +(0.639864 - 2.80343i) q^{9} +O(q^{10})\)	\(q+(-0.623490 + 0.781831i) q^{2} +(0.219976 + 0.275841i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(-0.900969 - 0.433884i) q^{5} -0.352814 q^{6} -0.963199 q^{7} +(0.900969 + 0.433884i) q^{8} +(0.639864 - 2.80343i) q^{9} +(0.900969 - 0.433884i) q^{10} +(-1.02677 + 4.49857i) q^{11} +(0.219976 - 0.275841i) q^{12} +(6.19312 + 2.98245i) q^{13} +(0.600545 - 0.753059i) q^{14} +(-0.0785084 - 0.343968i) q^{15} +(-0.900969 + 0.433884i) q^{16} +(4.07951 - 1.96459i) q^{17} +(1.79286 + 2.24817i) q^{18} +(1.85931 + 8.14618i) q^{19} +(-0.222521 + 0.974928i) q^{20} +(-0.211880 - 0.265690i) q^{21} +(-2.87694 - 3.60757i) q^{22} +(0.716877 - 3.14084i) q^{23} +(0.0785084 + 0.343968i) q^{24} +(0.623490 + 0.781831i) q^{25} +(-6.19312 + 2.98245i) q^{26} +(1.86768 - 0.899426i) q^{27} +(0.214332 + 0.939050i) q^{28} +(-1.11711 + 1.40082i) q^{29} +(0.317874 + 0.153080i) q^{30} +(1.47981 - 1.85562i) q^{31} +(0.222521 - 0.974928i) q^{32} +(-1.46675 + 0.706351i) q^{33} +(-1.00756 + 4.41439i) q^{34} +(0.867812 + 0.417916i) q^{35} -2.87552 q^{36} +6.85973 q^{37} +(-7.52820 - 3.62539i) q^{38} +(0.539655 + 2.36438i) q^{39} +(-0.623490 - 0.781831i) q^{40} +(-0.155471 + 0.194955i) q^{41} +0.339830 q^{42} +(-1.13990 + 6.45760i) q^{43} +4.61426 q^{44} +(-1.79286 + 2.24817i) q^{45} +(2.00865 + 2.51876i) q^{46} +(-1.40678 - 6.16351i) q^{47} +(-0.317874 - 0.153080i) q^{48} -6.07225 q^{49} -1.00000 q^{50} +(1.43931 + 0.693134i) q^{51} +(1.52958 - 6.70151i) q^{52} +(-4.82042 + 2.32139i) q^{53} +(-0.461278 + 2.02099i) q^{54} +(2.87694 - 3.60757i) q^{55} +(-0.867812 - 0.417916i) q^{56} +(-1.83805 + 2.30484i) q^{57} +(-0.398693 - 1.74679i) q^{58} +(0.932316 - 0.448980i) q^{59} +(-0.317874 + 0.153080i) q^{60} +(2.49108 + 3.12371i) q^{61} +(0.528137 + 2.31392i) q^{62} +(-0.616316 + 2.70026i) q^{63} +(0.623490 + 0.781831i) q^{64} +(-4.28577 - 5.37419i) q^{65} +(0.362258 - 1.58716i) q^{66} +(-1.51072 - 6.61888i) q^{67} +(-2.82311 - 3.54007i) q^{68} +(1.02407 - 0.493166i) q^{69} +(-0.867812 + 0.417916i) q^{70} +(1.04558 + 4.58097i) q^{71} +(1.79286 - 2.24817i) q^{72} +(7.61275 + 3.66611i) q^{73} +(-4.27697 + 5.36315i) q^{74} +(-0.0785084 + 0.343968i) q^{75} +(7.52820 - 3.62539i) q^{76} +(0.988983 - 4.33302i) q^{77} +(-2.18502 - 1.05225i) q^{78} -3.07755 q^{79} +1.00000 q^{80} +(-7.11333 - 3.42560i) q^{81} +(-0.0554871 - 0.243105i) q^{82} +(2.23476 + 2.80229i) q^{83} +(-0.211880 + 0.265690i) q^{84} -4.52792 q^{85} +(-4.33804 - 4.91746i) q^{86} -0.632140 q^{87} +(-2.87694 + 3.60757i) q^{88} +(-6.19153 - 7.76393i) q^{89} +(-0.639864 - 2.80343i) q^{90} +(-5.96521 - 2.87269i) q^{91} -3.22162 q^{92} +0.837377 q^{93} +(5.69594 + 2.74302i) q^{94} +(1.85931 - 8.14618i) q^{95} +(0.317874 - 0.153080i) q^{96} +(1.88431 - 8.25568i) q^{97} +(3.78598 - 4.74747i) q^{98} +(11.9544 + 5.75694i) 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

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