LMFDB - Embedded newform 430.2.q.d.101.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [430,2,Mod(31,430)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(430, base_ring=CyclotomicField(42))

chi = DirichletCharacter(H, H._module([0, 34]))

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

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

chi := DirichletCharacter("430.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 430 = 2 \cdot 5 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	430.q (of order $21$, degree $12$, 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:	$60$
Relative dimension:	$5$ over $\Q(\zeta_{21})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label			101.1
Character	$\chi$	$=$	430.101
Dual form			430.2.q.d.281.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.623490 + 0.781831i) q^{2} +(-1.04669 + 2.66692i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(-0.0747301 - 0.997204i) q^{5} +(-1.43248 - 2.48113i) q^{6} +(1.27853 - 2.21448i) q^{7} +(0.900969 + 0.433884i) q^{8} +(-3.81773 - 3.54234i) q^{9} +O(q^{10})$	\(q+(-0.623490 + 0.781831i) q^{2} +(-1.04669 + 2.66692i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(-0.0747301 - 0.997204i) q^{5} +(-1.43248 - 2.48113i) q^{6} +(1.27853 - 2.21448i) q^{7} +(0.900969 + 0.433884i) q^{8} +(-3.81773 - 3.54234i) q^{9} +(0.826239 + 0.563320i) q^{10} +(1.02259 - 4.48025i) q^{11} +(2.83296 + 0.427000i) q^{12} +(4.46440 - 3.04377i) q^{13} +(0.934199 + 2.38030i) q^{14} +(2.73768 + 0.844462i) q^{15} +(-0.900969 + 0.433884i) q^{16} +(0.392406 - 5.23629i) q^{17} +(5.14983 - 0.776212i) q^{18} +(-5.47629 + 5.08126i) q^{19} +(-0.955573 + 0.294755i) q^{20} +(4.56761 + 5.72760i) q^{21} +(2.86523 + 3.59288i) q^{22} +(0.971077 - 0.299538i) q^{23} +(-2.10016 + 1.94867i) q^{24} +(-0.988831 + 0.149042i) q^{25} +(-0.403787 + 5.38817i) q^{26} +(5.69937 - 2.74467i) q^{27} +(-2.44346 - 0.753707i) q^{28} +(-1.90951 - 4.86536i) q^{29} +(-2.36714 + 1.61389i) q^{30} +(-7.09766 - 1.06980i) q^{31} +(0.222521 - 0.974928i) q^{32} +(10.8781 + 7.41658i) q^{33} +(3.84924 + 3.57157i) q^{34} +(-2.30383 - 1.10947i) q^{35} +(-2.60400 + 4.51026i) q^{36} +(1.94157 + 3.36291i) q^{37} +(-0.558274 - 7.44965i) q^{38} +(3.44466 + 15.0920i) q^{39} +(0.365341 - 0.930874i) q^{40} +(4.30664 - 5.40036i) q^{41} -7.32588 q^{42} +(6.36567 + 1.57426i) q^{43} -4.59547 q^{44} +(-3.24713 + 4.07178i) q^{45} +(-0.371269 + 0.945977i) q^{46} +(1.17994 + 5.16966i) q^{47} +(-0.214099 - 2.85695i) q^{48} +(0.230722 + 0.399623i) q^{49} +(0.500000 - 0.866025i) q^{50} +(13.5540 + 6.52727i) q^{51} +(-3.96088 - 3.67516i) q^{52} +(0.458903 + 0.312875i) q^{53} +(-1.40763 + 6.16723i) q^{54} +(-4.54414 - 0.684919i) q^{55} +(2.11274 - 1.44044i) q^{56} +(-7.81932 - 19.9233i) q^{57} +(4.99446 + 1.54059i) q^{58} +(10.3482 - 4.98341i) q^{59} +(0.214099 - 2.85695i) q^{60} +(-5.05025 + 0.761202i) q^{61} +(5.26172 - 4.88216i) q^{62} +(-12.7255 + 3.92530i) q^{63} +(0.623490 + 0.781831i) q^{64} +(-3.36889 - 4.22445i) q^{65} +(-12.5809 + 3.88070i) q^{66} +(9.58076 - 8.88964i) q^{67} +(-5.19232 + 0.782617i) q^{68} +(-0.217573 + 2.90330i) q^{69} +(2.30383 - 1.10947i) q^{70} +(-7.66612 - 2.36468i) q^{71} +(-1.90270 - 4.84799i) q^{72} +(-10.2249 + 6.97119i) q^{73} +(-3.83978 - 0.578753i) q^{74} +(0.637514 - 2.79313i) q^{75} +(6.17245 + 4.20830i) q^{76} +(-8.61401 - 7.99264i) q^{77} +(-13.9472 - 6.71659i) q^{78} +(-0.221024 + 0.382825i) q^{79} +(0.500000 + 0.866025i) q^{80} +(0.186769 + 2.49226i) q^{81} +(1.53702 + 6.73414i) q^{82} +(-1.57221 + 4.00592i) q^{83} +(4.56761 - 5.72760i) q^{84} -5.25097 q^{85} +(-5.19974 + 3.99534i) q^{86} +14.9742 q^{87} +(2.86523 - 3.59288i) q^{88} +(4.92024 - 12.5366i) q^{89} +(-1.15889 - 5.07742i) q^{90} +(-1.03251 - 13.7779i) q^{91} +(-0.508113 - 0.880077i) q^{92} +(10.2821 - 17.8091i) q^{93} +(-4.77748 - 2.30071i) q^{94} +(5.47629 + 5.08126i) q^{95} +(2.36714 + 1.61389i) q^{96} +(1.85445 - 8.12486i) q^{97} +(-0.456291 - 0.0687748i) q^{98} +(-19.7745 + 13.4820i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 60 q + 10 q^{2} - q^{3} - 10 q^{4} - 5 q^{5} - 6 q^{6} + q^{7} + 10 q^{8} + 8 q^{9}+O(q^{10}) $ 60 * q + 10 * q^2 - q^3 - 10 * q^4 - 5 * q^5 - 6 * q^6 + q^7 + 10 * q^8 + 8 * q^9	\( 60 q + 10 q^{2} - q^{3} - 10 q^{4} - 5 q^{5} - 6 q^{6} + q^{7} + 10 q^{8} + 8 q^{9} + 5 q^{10} + 3 q^{11} - q^{12} + 13 q^{13} - 15 q^{14} + q^{15} - 10 q^{16} + 38 q^{17} + 6 q^{18} + 17 q^{19} - 5 q^{20} + 4 q^{21} + 11 q^{22} - 8 q^{23} + q^{24} + 5 q^{25} + 29 q^{26} - 16 q^{27} - 6 q^{28} - 41 q^{29} - q^{30} + 15 q^{31} + 10 q^{32} + 63 q^{33} - 10 q^{34} + 2 q^{35} - 48 q^{36} + 7 q^{37} + 25 q^{38} - 64 q^{39} + 5 q^{40} - 22 q^{41} - 60 q^{42} + 6 q^{43} - 4 q^{44} + 30 q^{45} - 20 q^{46} - 13 q^{47} - q^{48} - 93 q^{49} + 30 q^{50} + 18 q^{51} - 15 q^{52} + 71 q^{53} - 5 q^{54} - 16 q^{55} - q^{56} - 94 q^{57} - 22 q^{58} + 20 q^{59} + q^{60} + 91 q^{61} + 69 q^{62} - 50 q^{63} - 10 q^{64} + 5 q^{65} + 14 q^{66} - 26 q^{67} - 18 q^{68} - 94 q^{69} - 2 q^{70} + 20 q^{71} - 36 q^{72} - 56 q^{73} - 7 q^{74} + 2 q^{75} + 38 q^{76} + 41 q^{77} - 13 q^{78} - 46 q^{79} + 30 q^{80} + 39 q^{81} + 8 q^{82} - 115 q^{83} + 4 q^{84} + 6 q^{85} + 29 q^{86} + 20 q^{87} + 11 q^{88} + 30 q^{89} - 16 q^{90} - 53 q^{91} - 8 q^{92} + 16 q^{93} + 41 q^{94} - 17 q^{95} + q^{96} + 113 q^{97} + 2 q^{98} + 139 q^{99}+O(q^{100}) \) 60 * q + 10 * q^2 - q^3 - 10 * q^4 - 5 * q^5 - 6 * q^6 + q^7 + 10 * q^8 + 8 * q^9 + 5 * q^10 + 3 * q^11 - q^12 + 13 * q^13 - 15 * q^14 + q^15 - 10 * q^16 + 38 * q^17 + 6 * q^18 + 17 * q^19 - 5 * q^20 + 4 * q^21 + 11 * q^22 - 8 * q^23 + q^24 + 5 * q^25 + 29 * q^26 - 16 * q^27 - 6 * q^28 - 41 * q^29 - q^30 + 15 * q^31 + 10 * q^32 + 63 * q^33 - 10 * q^34 + 2 * q^35 - 48 * q^36 + 7 * q^37 + 25 * q^38 - 64 * q^39 + 5 * q^40 - 22 * q^41 - 60 * q^42 + 6 * q^43 - 4 * q^44 + 30 * q^45 - 20 * q^46 - 13 * q^47 - q^48 - 93 * q^49 + 30 * q^50 + 18 * q^51 - 15 * q^52 + 71 * q^53 - 5 * q^54 - 16 * q^55 - q^56 - 94 * q^57 - 22 * q^58 + 20 * q^59 + q^60 + 91 * q^61 + 69 * q^62 - 50 * q^63 - 10 * q^64 + 5 * q^65 + 14 * q^66 - 26 * q^67 - 18 * q^68 - 94 * q^69 - 2 * q^70 + 20 * q^71 - 36 * q^72 - 56 * q^73 - 7 * q^74 + 2 * q^75 + 38 * q^76 + 41 * q^77 - 13 * q^78 - 46 * q^79 + 30 * q^80 + 39 * q^81 + 8 * q^82 - 115 * q^83 + 4 * q^84 + 6 * q^85 + 29 * q^86 + 20 * q^87 + 11 * q^88 + 30 * q^89 - 16 * q^90 - 53 * q^91 - 8 * q^92 + 16 * q^93 + 41 * q^94 - 17 * q^95 + q^96 + 113 * q^97 + 2 * q^98 + 139 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$87$	$261$
$\chi(n)$	$1$	$e\left(\frac{13}{21}\right)$

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
$3$	−1.04669	+	2.66692i	−0.604305	+	1.53974i	0.221128	+	0.975245i	$0.429026\pi$
$3$	−1.04669	+	2.66692i	−0.604305	+	1.53974i	−0.825433	+	0.564500i	$0.809069\pi$
$4$	−0.222521	−	0.974928i	−0.111260	−	0.487464i
$5$	−0.0747301	−	0.997204i	−0.0334203	−	0.445963i
$5$	−0.0747301	−	0.997204i	−0.0334203	−	0.445963i
$6$	−1.43248	−	2.48113i	−0.584808	−	1.01292i
$7$	1.27853	−	2.21448i	0.483239	−	0.836994i	−0.516576	−	0.856241i	$-0.672794\pi$
$7$	1.27853	−	2.21448i	0.483239	−	0.836994i	0.999815	+	0.0192471i	$0.00612692\pi$
$8$	0.900969	+	0.433884i	0.318541	+	0.153401i
$9$	−3.81773	−	3.54234i	−1.27258	−	1.18078i
$10$	0.826239	+	0.563320i	0.261280	+	0.178137i
$11$	1.02259	−	4.48025i	0.308322	−	1.35085i	−0.548895	−	0.835891i	$-0.684951\pi$
$11$	1.02259	−	4.48025i	0.308322	−	1.35085i	0.857217	−	0.514955i	$-0.172192\pi$
$12$	2.83296	+	0.427000i	0.817805	+	0.123264i
$13$	4.46440	−	3.04377i	1.23820	−	0.844191i	0.246052	−	0.969257i	$-0.420867\pi$
$13$	4.46440	−	3.04377i	1.23820	−	0.844191i	0.992148	+	0.125066i	$0.0399142\pi$
$14$	0.934199	+	2.38030i	0.249675	+	0.636162i
$15$	2.73768	+	0.844462i	0.706865	+	0.218039i
$16$	−0.900969	+	0.433884i	−0.225242	+	0.108471i
$17$	0.392406	−	5.23629i	0.0951724	−	1.26999i	−0.721308	−	0.692614i	$-0.756459\pi$
$17$	0.392406	−	5.23629i	0.0951724	−	1.26999i	0.816481	−	0.577373i	$-0.195922\pi$
$18$	5.14983	−	0.776212i	1.21383	−	0.182955i
$19$	−5.47629	+	5.08126i	−1.25635	+	1.16572i	−0.277590	+	0.960700i	$0.589536\pi$
$19$	−5.47629	+	5.08126i	−1.25635	+	1.16572i	−0.978758	+	0.205020i	$0.934274\pi$
$20$	−0.955573	+	0.294755i	−0.213673	+	0.0659093i
$21$	4.56761	+	5.72760i	0.996734	+	1.24986i
$22$	2.86523	+	3.59288i	0.610869	+	0.766005i
$23$	0.971077	−	0.299538i	0.202484	−	0.0624579i	−0.191854	−	0.981423i	$-0.561450\pi$
$23$	0.971077	−	0.299538i	0.202484	−	0.0624579i	0.394338	+	0.918965i	$0.370974\pi$
$24$	−2.10016	+	1.94867i	−0.428694	+	0.397770i
$25$	−0.988831	+	0.149042i	−0.197766	+	0.0298085i
$26$	−0.403787	+	5.38817i	−0.0791892	+	1.05671i
$27$	5.69937	−	2.74467i	1.09684	−	0.528213i
$28$	−2.44346	−	0.753707i	−0.461770	−	0.142437i
$29$	−1.90951	−	4.86536i	−0.354588	−	0.903475i	−0.991210	−	0.132299i	$-0.957764\pi$
$29$	−1.90951	−	4.86536i	−0.354588	−	0.903475i	0.636622	−	0.771176i	$-0.280331\pi$
$30$	−2.36714	+	1.61389i	−0.432179	+	0.294655i
$31$	−7.09766	−	1.06980i	−1.27478	−	0.192142i	−0.523441	−	0.852062i	$-0.675352\pi$
$31$	−7.09766	−	1.06980i	−1.27478	−	0.192142i	−0.751336	+	0.659920i	$0.770590\pi$
$32$	0.222521	−	0.974928i	0.0393365	−	0.172345i
$33$	10.8781	+	7.41658i	1.89364	+	1.29106i
$34$	3.84924	+	3.57157i	0.660139	+	0.612519i
$35$	−2.30383	−	1.10947i	−0.389419	−	0.187534i
$36$	−2.60400	+	4.51026i	−0.434000	+	0.751710i
$37$	1.94157	+	3.36291i	0.319193	+	0.552858i	0.980320	−	0.197416i	$-0.0632549\pi$
$37$	1.94157	+	3.36291i	0.319193	+	0.552858i	−0.661127	+	0.750274i	$0.729922\pi$
$38$	−0.558274	−	7.44965i	−0.0905640	−	1.20849i
$39$	3.44466	+	15.0920i	0.551587	+	2.41666i
$40$	0.365341	−	0.930874i	0.0577655	−	0.147184i
$41$	4.30664	−	5.40036i	0.672585	−	0.843395i	−0.322063	−	0.946718i	$-0.604376\pi$
$41$	4.30664	−	5.40036i	0.672585	−	0.843395i	0.994648	+	0.103324i	$0.0329477\pi$
$42$	−7.32588			−1.13041
$43$	6.36567	+	1.57426i	0.970755	+	0.240073i
$43$	6.36567	+	1.57426i	0.970755	+	0.240073i
$44$	−4.59547			−0.692793
$45$	−3.24713	+	4.07178i	−0.484054	+	0.606985i
$46$	−0.371269	+	0.945977i	−0.0547406	+	0.139477i
$47$	1.17994	+	5.16966i	0.172112	+	0.754072i	0.985127	+	0.171829i	$0.0549677\pi$
$47$	1.17994	+	5.16966i	0.172112	+	0.754072i	−0.813015	+	0.582243i	$0.802175\pi$
$48$	−0.214099	−	2.85695i	−0.0309025	−	0.412365i
$49$	0.230722	+	0.399623i	0.0329603	+	0.0570890i
$50$	0.500000	−	0.866025i	0.0707107	−	0.122474i
$51$	13.5540	+	6.52727i	1.89794	+	0.914001i
$52$	−3.96088	−	3.67516i	−0.549275	−	0.509653i
$53$	0.458903	+	0.312875i	0.0630352	+	0.0429767i	0.594428	−	0.804149i	$-0.297379\pi$
$53$	0.458903	+	0.312875i	0.0630352	+	0.0429767i	−0.531392	+	0.847126i	$0.678331\pi$
$54$	−1.40763	+	6.16723i	−0.191554	+	0.839253i
$55$	−4.54414	−	0.684919i	−0.612732	−	0.0923545i
$56$	2.11274	−	1.44044i	0.282327	−	0.192487i
$57$	−7.81932	−	19.9233i	−1.03569	−	2.63891i
$58$	4.99446	+	1.54059i	0.655804	+	0.202289i
$59$	10.3482	−	4.98341i	1.34722	−	0.648785i	0.385468	−	0.922721i	$-0.374040\pi$
$59$	10.3482	−	4.98341i	1.34722	−	0.648785i	0.961748	+	0.273937i	$0.0883259\pi$
$60$	0.214099	−	2.85695i	0.0276400	−	0.368831i
$61$	−5.05025	+	0.761202i	−0.646618	+	0.0974620i	−0.464160	−	0.885752i	$-0.653644\pi$
$61$	−5.05025	+	0.761202i	−0.646618	+	0.0974620i	−0.182458	+	0.983214i	$0.558405\pi$
$62$	5.26172	−	4.88216i	0.668239	−	0.620035i
$63$	−12.7255	+	3.92530i	−1.60326	+	0.494542i
$64$	0.623490	+	0.781831i	0.0779362	+	0.0977289i
$65$	−3.36889	−	4.22445i	−0.417859	−	0.523979i
$66$	−12.5809	+	3.88070i	−1.54860	+	0.477681i
$67$	9.58076	−	8.88964i	1.17048	−	1.08604i	0.175649	−	0.984453i	$-0.443797\pi$
$67$	9.58076	−	8.88964i	1.17048	−	1.08604i	0.994826	−	0.101590i	$-0.0323930\pi$
$68$	−5.19232	+	0.782617i	−0.629662	+	0.0949063i
$69$	−0.217573	+	2.90330i	−0.0261927	+	0.349517i
$70$	2.30383	−	1.10947i	0.275361	−	0.132607i
$71$	−7.66612	−	2.36468i	−0.909801	−	0.280636i	−0.195687	−	0.980666i	$-0.562694\pi$
$71$	−7.66612	−	2.36468i	−0.909801	−	0.280636i	−0.714113	+	0.700030i	$0.753170\pi$
$72$	−1.90270	−	4.84799i	−0.224235	−	0.571341i
$73$	−10.2249	+	6.97119i	−1.19673	+	0.815916i	−0.986823	−	0.161806i	$-0.948268\pi$
$73$	−10.2249	+	6.97119i	−1.19673	+	0.815916i	−0.209906	+	0.977722i	$0.567316\pi$
$74$	−3.83978	−	0.578753i	−0.446365	−	0.0672787i
$75$	0.637514	−	2.79313i	0.0736137	−	0.322523i
$76$	6.17245	+	4.20830i	0.708028	+	0.482726i
$77$	−8.61401	−	7.99264i	−0.981658	−	0.910845i
$78$	−13.9472	−	6.71659i	−1.57920	−	0.760504i
$79$	−0.221024	+	0.382825i	−0.0248672	+	0.0430712i	−0.878191	−	0.478310i	$-0.841250\pi$
$79$	−0.221024	+	0.382825i	−0.0248672	+	0.0430712i	0.853324	+	0.521381i	$0.174583\pi$
$80$	0.500000	+	0.866025i	0.0559017	+	0.0968246i
$81$	0.186769	+	2.49226i	0.0207521	+	0.276918i
$82$	1.53702	+	6.73414i	0.169736	+	0.743661i
$83$	−1.57221	+	4.00592i	−0.172572	+	0.439706i	−0.990825	−	0.135152i	$-0.956848\pi$
$83$	−1.57221	+	4.00592i	−0.172572	+	0.439706i	0.818253	+	0.574859i	$0.194943\pi$
$84$	4.56761	−	5.72760i	0.498367	−	0.624932i
$85$	−5.25097			−0.569548
$86$	−5.19974	+	3.99534i	−0.560702	+	0.430829i
$87$	14.9742			1.60540
$88$	2.86523	−	3.59288i	0.305434	−	0.383003i
$89$	4.92024	−	12.5366i	0.521544	−	1.32887i	−0.391186	−	0.920311i	$-0.627935\pi$
$89$	4.92024	−	12.5366i	0.521544	−	1.32887i	0.912731	−	0.408562i	$-0.133970\pi$
$90$	−1.15889	−	5.07742i	−0.122158	−	0.535207i
$91$	−1.03251	−	13.7779i	−0.108236	−	1.44431i
$92$	−0.508113	−	0.880077i	−0.0529744	−	0.0917543i
$93$	10.2821	−	17.8091i	1.06620	−	1.84672i
$94$	−4.77748	−	2.30071i	−0.492760	−	0.237301i
$95$	5.47629	+	5.08126i	0.561856	+	0.521326i
$96$	2.36714	+	1.61389i	0.241595	+	0.164717i
$97$	1.85445	−	8.12486i	0.188290	−	0.824954i	−0.789227	−	0.614101i	$-0.789519\pi$
$97$	1.85445	−	8.12486i	0.188290	−	0.824954i	0.977518	−	0.210853i	$-0.0676242\pi$
$98$	−0.456291	−	0.0687748i	−0.0460923	−	0.00694730i
$99$	−19.7745	+	13.4820i	−1.98742	+	1.35500i
$100$	0.365341	+	0.930874i	0.0365341	+	0.0930874i
$101$	0.186268	+	0.0574561i	0.0185344	+	0.00571710i	0.304009	−	0.952669i	$-0.401675\pi$
$101$	0.186268	+	0.0574561i	0.0185344	+	0.00571710i	−0.285474	+	0.958386i	$0.592151\pi$
$102$	−13.5540	+	6.52727i	−1.34205	+	0.646296i
$103$	−1.05736	+	14.1095i	−0.104185	+	1.39025i	0.662901	+	0.748707i	$0.269325\pi$
$103$	−1.05736	+	14.1095i	−0.104185	+	1.39025i	−0.767086	+	0.641544i	$0.778294\pi$
$104$	5.34293	−	0.805316i	0.523917	−	0.0789678i
$105$	5.37025	−	4.98286i	0.524082	−	0.486277i
$106$	−0.530737	+	0.163711i	−0.0515497	+	0.0159010i
$107$	8.57372	+	10.7511i	0.828853	+	1.03935i	0.998549	+	0.0538520i	$0.0171499\pi$
$107$	8.57372	+	10.7511i	0.828853	+	1.03935i	−0.169696	+	0.985496i	$0.554279\pi$
$108$	−3.94409	−	4.94573i	−0.379520	−	0.475903i
$109$	0.741644	−	0.228767i	0.0710366	−	0.0219119i	−0.259033	−	0.965868i	$-0.583404\pi$
$109$	0.741644	−	0.228767i	0.0710366	−	0.0219119i	0.330070	+	0.943957i	$0.392928\pi$
$110$	3.36872	−	3.12571i	0.321195	−	0.298025i
$111$	−11.0008	+	1.65811i	−1.04415	+	0.157380i
$112$	−0.191089	+	2.54991i	−0.0180562	+	0.240944i
$113$	−4.31245	+	2.07677i	−0.405682	+	0.195366i	−0.625586	−	0.780156i	$-0.715140\pi$
$113$	−4.31245	+	2.07677i	−0.405682	+	0.195366i	0.219904	+	0.975522i	$0.429426\pi$
$114$	20.4519	+	6.30858i	1.91550	+	0.590853i
$115$	−0.371269	−	0.945977i	−0.0346210	−	0.0882128i
$116$	−4.31847	+	2.94428i	−0.400960	+	0.273370i
$117$	−27.8259	−	4.19409i	−2.57251	−	0.387743i
$118$	−2.55578	+	11.1976i	−0.235279	+	1.03082i
$119$	−11.0940	−	7.56373i	−1.01698	−	0.693366i
$120$	2.10016	+	1.94867i	0.191718	+	0.177888i
$121$	−9.11631	−	4.39018i	−0.828755	−	0.399108i
$122$	2.55365	−	4.42304i	0.231196	−	0.400444i
$123$	9.89460	+	17.1380i	0.892166	+	1.54528i
$124$	0.536400	+	7.15776i	0.0481701	+	0.642785i
$125$	0.222521	+	0.974928i	0.0199029	+	0.0872002i
$126$	4.86531	−	12.3966i	0.433436	−	1.10438i
$127$	4.94810	−	6.20472i	0.439073	−	0.550580i	−0.512226	−	0.858851i	$-0.671179\pi$
$127$	4.94810	−	6.20472i	0.439073	−	0.550580i	0.951299	+	0.308271i	$0.0997504\pi$
$128$	−1.00000			−0.0883883
$129$	−10.8613	+	15.3289i	−0.956283	+	1.34964i
$130$	5.40328			0.473899
$131$	−8.76984	+	10.9970i	−0.766224	+	0.960815i	−0.999934	−	0.0114917i	$-0.996342\pi$
$131$	−8.76984	+	10.9970i	−0.766224	+	0.960815i	0.233710	+	0.972306i	$0.424913\pi$
$132$	4.81002	−	12.2557i	0.418659	−	1.06672i
$133$	4.25073	+	18.6237i	0.368585	+	1.61488i
$134$	0.976699	+	13.0331i	0.0843739	+	1.12589i
$135$	−3.16291	−	5.47833i	−0.272220	−	0.471499i
$136$	2.62549	−	4.54748i	0.225134	−	0.389943i
$137$	−8.73342	−	4.20580i	−0.746147	−	0.359325i	0.0218651	−	0.999761i	$-0.493040\pi$
$137$	−8.73342	−	4.20580i	−0.746147	−	0.359325i	−0.768012	+	0.640436i	$0.778754\pi$
$138$	−2.13424	−	1.98029i	−0.181679	−	0.168573i
$139$	4.64905	+	3.16967i	0.394327	+	0.268848i	0.744210	−	0.667946i	$-0.232826\pi$
$139$	4.64905	+	3.16967i	0.394327	+	0.268848i	−0.349883	+	0.936793i	$0.613779\pi$
$140$	−0.568999	+	2.49295i	−0.0480892	+	0.210693i
$141$	−15.0221	−	2.26421i	−1.26509	−	0.190681i
$142$	6.62853	−	4.51926i	0.556254	−	0.379248i
$143$	−9.07163	−	23.1141i	−0.758608	−	1.93290i
$144$	4.97662	+	1.53508i	0.414718	+	0.127924i
$145$	−4.70906	+	2.26776i	−0.391066	+	0.188328i
$146$	0.924798	−	12.3406i	0.0765368	−	1.02131i
$147$	−1.30725	+	0.197037i	−0.107821	+	0.0162513i
$148$	2.84655	−	2.64121i	0.233985	−	0.217106i
$149$	16.2979	−	5.02725i	1.33518	−	0.411849i	0.456697	−	0.889622i	$-0.349032\pi$
$149$	16.2979	−	5.02725i	1.33518	−	0.411849i	0.878483	+	0.477774i	$0.158556\pi$
$150$	1.78627	+	2.23992i	0.145849	+	0.182888i
$151$	11.0112	+	13.8076i	0.896078	+	1.12365i	0.991744	+	0.128233i	$0.0409306\pi$
$151$	11.0112	+	13.8076i	0.896078	+	1.12365i	−0.0956657	+	0.995414i	$0.530498\pi$
$152$	−7.13864	+	2.20198i	−0.579020	+	0.178604i
$153$	−20.0468	+	18.6007i	−1.62069	+	1.50378i
$154$	11.6196	−	1.75138i	0.936338	−	0.141130i
$155$	−0.536400	+	7.15776i	−0.0430847	+	0.574925i
$156$	13.9472	−	6.71659i	1.11667	−	0.537758i
$157$	14.7552	+	4.55139i	1.17760	+	0.363240i	0.820950	−	0.571000i	$-0.193444\pi$
$157$	14.7552	+	4.55139i	1.17760	+	0.363240i	0.356645	+	0.934240i	$0.383920\pi$
$158$	−0.161498	−	0.411491i	−0.0128481	−	0.0327365i
$159$	−1.31474	+	0.896374i	−0.104266	+	0.0710871i
$160$	−0.988831	−	0.149042i	−0.0781739	−	0.0117828i
$161$	0.578231	−	2.53340i	0.0455710	−	0.199660i
$162$	−2.06498	−	1.40788i	−0.162240	−	0.110613i
$163$	1.79987	+	1.67004i	0.140977	+	0.130808i	0.747509	−	0.664251i	$-0.231249\pi$
$163$	1.79987	+	1.67004i	0.140977	+	0.130808i	−0.606532	+	0.795059i	$0.707440\pi$
$164$	−6.22328	−	2.99697i	−0.485957	−	0.234024i
$165$	6.58292	−	11.4020i	0.512480	−	0.887641i
$166$	−2.15170	−	3.72685i	−0.167004	−	0.289259i
$167$	−0.0673196	−	0.898317i	−0.00520934	−	0.0695139i	0.993993	−	0.109442i	$-0.0349063\pi$
$167$	−0.0673196	−	0.898317i	−0.00520934	−	0.0695139i	−0.999203	+	0.0399277i	$0.987287\pi$
$168$	1.63016	+	7.14220i	0.125770	+	0.551033i
$169$	5.91684	−	15.0759i	0.455141	−	1.15968i
$170$	3.27393	−	4.10538i	0.251099	−	0.314868i
$171$	38.9065			2.97526
$172$	0.118299	−	6.55637i	0.00902021	−	0.499919i
$173$	−22.9331			−1.74357			−0.871786	−	0.489887i	$-0.837038\pi$
$173$	−22.9331			−1.74357			−0.871786	+	0.489887i	$0.837038\pi$
$174$	−9.33625	+	11.7073i	−0.707779	+	0.887527i
$175$	−0.934199	+	2.38030i	−0.0706188	+	0.179934i
$176$	1.02259	+	4.48025i	0.0770805	+	0.337712i
$177$	2.45905	+	32.8137i	0.184834	+	2.46643i
$178$	6.73376	+	11.6632i	0.504717	+	0.874195i
$179$	8.91124	−	15.4347i	0.666057	−	1.15364i	−0.312940	−	0.949773i	$-0.601314\pi$
$179$	8.91124	−	15.4347i	0.666057	−	1.15364i	0.978998	−	0.203872i	$-0.0653527\pi$
$180$	4.69224	+	2.25967i	0.349739	+	0.168426i
$181$	2.58775	+	2.40108i	0.192346	+	0.178471i	0.770467	−	0.637480i	$-0.220023\pi$
$181$	2.58775	+	2.40108i	0.192346	+	0.178471i	−0.578121	+	0.815951i	$0.696214\pi$
$182$	11.4157	+	7.78311i	0.846190	+	0.576923i
$183$	3.25597	−	14.2653i	0.240688	−	1.05452i
$184$	1.00487	+	0.151460i	0.0740803	+	0.0111658i
$185$	3.20841	−	2.18746i	0.235887	−	0.160825i
$186$	7.51294	+	19.1427i	0.550876	+	1.40361i
$187$	−23.0586	−	7.11265i	−1.68621	−	0.520128i
$188$	4.77748	−	2.30071i	0.348434	−	0.167797i
$189$	1.20880	−	16.1303i	0.0879271	−	1.17331i
$190$	−7.38710	+	1.11343i	−0.535916	+	0.0807764i
$191$	−1.24448	+	1.15471i	−0.0900474	+	0.0835518i	−0.723912	−	0.689892i	$-0.757658\pi$
$191$	−1.24448	+	1.15471i	−0.0900474	+	0.0835518i	0.633865	+	0.773444i	$0.281468\pi$
$192$	−2.73768	+	0.844462i	−0.197575	+	0.0609438i
$193$	10.6695	+	13.3792i	0.768010	+	0.963054i	0.999953	−	0.00967559i	$-0.00307988\pi$
$193$	10.6695	+	13.3792i	0.768010	+	0.963054i	−0.231944	+	0.972729i	$0.574508\pi$
$194$	5.19604	+	6.51563i	0.373054	+	0.467795i
$195$	14.7924	−	4.56286i	1.05931	−	0.326753i
$196$	0.338263	−	0.313862i	0.0241616	−	0.0224187i
$197$	1.46695	−	0.221108i	0.104516	−	0.0157533i	−0.0965759	−	0.995326i	$-0.530789\pi$
$197$	1.46695	−	0.221108i	0.104516	−	0.0157533i	0.201092	+	0.979572i	$0.435551\pi$
$198$	1.78853	−	23.8663i	0.127105	−	1.69610i
$199$	−8.31414	+	4.00388i	−0.589374	+	0.283827i	−0.704706	−	0.709500i	$-0.748921\pi$
$199$	−8.31414	+	4.00388i	−0.589374	+	0.283827i	0.115332	+	0.993327i	$0.463207\pi$
$200$	−0.955573	−	0.294755i	−0.0675692	−	0.0208423i
$201$	13.6799	+	34.8558i	0.964904	+	2.45854i
$202$	−0.161057	+	0.109807i	−0.0113320	+	0.00772600i
$203$	−13.2156	−	1.99193i	−0.927554	−	0.139806i
$204$	3.34757	−	14.6667i	0.234377	−	1.02687i
$205$	−5.70710	−	3.89103i	−0.398601	−	0.271762i
$206$	−10.3720	−	9.62381i	−0.722652	−	0.670523i
$207$	−4.76838	−	2.29633i	−0.331425	−	0.159606i
$208$	−2.70164	+	4.67937i	−0.187325	+	0.324456i
$209$	17.1653	+	29.7312i	1.18735	+	2.05655i
$210$	0.547463	+	7.30539i	0.0377786	+	0.504120i
$211$	−2.55601	−	11.1986i	−0.175963	−	0.770945i	−0.983468	−	0.181083i	$-0.942040\pi$
$211$	−2.55601	−	11.1986i	−0.175963	−	0.770945i	0.807505	−	0.589861i	$-0.200818\pi$
$212$	0.202915	−	0.517019i	0.0139363	−	0.0355090i
$213$	14.3304	−	17.9698i	0.981906	−	1.23127i
$214$	−13.7512			−0.940011
$215$	1.09415	−	6.46551i	0.0746207	−	0.440944i
$216$	6.32583			0.430418
$217$	−11.4436	+	14.3498i	−0.776843	+	0.974130i
$218$	−0.283550	+	0.722475i	−0.0192045	+	0.0489321i
$219$	−7.88934	−	34.5655i	−0.533112	−	2.33572i
$220$	0.343420	+	4.58262i	0.0231534	+	0.308960i
$221$	−14.1862	−	24.5713i	−0.954269	−	1.65284i
$222$	5.56254	−	9.63459i	0.373333	−	0.646632i
$223$	−9.91227	−	4.77350i	−0.663775	−	0.319657i	0.0714857	−	0.997442i	$-0.477226\pi$
$223$	−9.91227	−	4.77350i	−0.663775	−	0.319657i	−0.735261	+	0.677784i	$0.762940\pi$
$224$	−1.87446	−	1.73924i	−0.125242	−	0.116208i
$225$	4.30305	+	2.93377i	0.286870	+	0.195585i
$226$	1.06509	−	4.66646i	0.0708486	−	0.310408i
$227$	17.4348	+	2.62787i	1.15719	+	0.174418i	0.699457	−	0.714674i	$-0.253425\pi$
$227$	17.4348	+	2.62787i	1.15719	+	0.174418i	0.457729	+	0.889092i	$0.348663\pi$
$228$	−17.6838	+	12.0566i	−1.17114	+	0.798469i
$229$	3.43152	+	8.74336i	0.226761	+	0.577777i	0.998292	−	0.0584136i	$-0.0186042\pi$
$229$	3.43152	+	8.74336i	0.226761	+	0.577777i	−0.771532	+	0.636191i	$0.780509\pi$
$230$	0.971077	+	0.299538i	0.0640309	+	0.0197509i
$231$	30.3319	−	14.6071i	1.99569	−	0.961074i
$232$	0.390589	−	5.21205i	0.0256434	−	0.342188i
$233$	2.75521	−	0.415281i	0.180500	−	0.0272060i	−0.0581703	−	0.998307i	$-0.518527\pi$
$233$	2.75521	−	0.415281i	0.180500	−	0.0272060i	0.238670	+	0.971101i	$0.423289\pi$
$234$	20.6283	−	19.1402i	1.34851	−	1.25124i
$235$	5.06703	−	1.56297i	0.330536	−	0.101957i
$236$	−7.16115	−	8.97979i	−0.466151	−	0.584535i
$237$	−0.789619	−	0.990152i	−0.0512913	−	0.0643173i
$238$	12.8305	−	3.95769i	0.831680	−	0.256539i
$239$	−21.1590	+	19.6327i	−1.36866	+	1.26994i	−0.440506	+	0.897749i	$0.645201\pi$
$239$	−21.1590	+	19.6327i	−1.36866	+	1.26994i	−0.928158	+	0.372186i	$0.878608\pi$
$240$	−2.83296	+	0.427000i	−0.182867	+	0.0275627i
$241$	−0.672402	+	8.97258i	−0.0433132	+	0.577975i	0.932755	+	0.360511i	$0.117398\pi$
$241$	−0.672402	+	8.97258i	−0.0433132	+	0.577975i	−0.976068	+	0.217464i	$0.930222\pi$
$242$	9.11631	−	4.39018i	0.586019	−	0.282212i
$243$	11.2922	+	3.48319i	0.724396	+	0.223447i
$244$	1.86590	+	4.75424i	0.119452	+	0.304359i
$245$	0.381263	−	0.259941i	0.0243580	−	0.0166070i
$246$	−19.5682	−	2.94943i	−1.24762	−	0.188049i
$247$	−8.98214	+	39.3533i	−0.571520	+	2.50399i
$248$	−5.93060	−	4.04341i	−0.376593	−	0.256757i
$249$	−9.03783	−	8.38588i	−0.572749	−	0.531434i
$250$	−0.900969	−	0.433884i	−0.0569823	−	0.0274412i
$251$	−2.26031	+	3.91497i	−0.142669	+	0.247111i	−0.928501	−	0.371330i	$-0.878902\pi$
$251$	−2.26031	+	3.91497i	−0.142669	+	0.247111i	0.785832	+	0.618441i	$0.212235\pi$
$252$	6.65858	+	11.5330i	0.419451	+	0.726511i
$253$	−0.348992	−	4.65697i	−0.0219409	−	0.292781i
$254$	1.76596	+	7.73716i	0.110806	+	0.485472i
$255$	5.49613	−	14.0039i	0.344181	−	0.876959i
$256$	0.623490	−	0.781831i	0.0389681	−	0.0488645i
$257$	−14.6147			−0.911640			−0.455820	−	0.890072i	$-0.650654\pi$
$257$	−14.6147			−0.911640			−0.455820	+	0.890072i	$0.650654\pi$
$258$	−5.21274	−	18.0491i	−0.324531	−	1.12369i
$259$	9.92945			0.616986
$260$	−3.36889	+	4.22445i	−0.208930	+	0.261989i
$261$	−9.94475	+	25.3388i	−0.615564	+	1.56843i
$262$	−3.12992	−	13.7131i	−0.193367	−	0.847196i
$263$	−1.38072	−	18.4245i	−0.0851390	−	1.13610i	−0.862163	−	0.506630i	$-0.830891\pi$
$263$	−1.38072	−	18.4245i	−0.0851390	−	1.13610i	0.777025	−	0.629470i	$-0.216728\pi$
$264$	6.58292	+	11.4020i	0.405151	+	0.701742i
$265$	0.277706	−	0.481001i	0.0170594	−	0.0295477i
$266$	−17.2109	−	8.28831i	−1.05527	−	0.508189i
$267$	28.2840	+	26.2437i	1.73095	+	1.60609i
$268$	−10.7987	−	7.36242i	−0.659634	−	0.449731i
$269$	−0.307415	+	1.34687i	−0.0187434	+	0.0821202i	−0.983435	−	0.181263i	$-0.941981\pi$
$269$	−0.307415	+	1.34687i	−0.0187434	+	0.0821202i	0.964691	+	0.263384i	$0.0848385\pi$
$270$	6.25517	+	0.942816i	0.380678	+	0.0573779i
$271$	2.67413	−	1.82319i	0.162442	−	0.110751i	−0.479371	−	0.877613i	$-0.659135\pi$
$271$	2.67413	−	1.82319i	0.162442	−	0.110751i	0.641813	+	0.766861i	$0.278183\pi$
$272$	1.91840	+	4.88799i	0.116320	+	0.296378i
$273$	37.8251	+	11.6675i	2.28928	+	0.706150i
$274$	8.73342	−	4.20580i	0.527605	−	0.254081i
$275$	−0.343420	+	4.58262i	−0.0207090	+	0.276342i
$276$	2.87893	−	0.433928i	0.173291	−	0.0261194i
$277$	19.8118	−	18.3827i	1.19038	−	1.10451i	0.198137	−	0.980174i	$-0.436511\pi$
$277$	19.8118	−	18.3827i	1.19038	−	1.10451i	0.992240	−	0.124334i	$-0.0396795\pi$
$278$	−5.37678	+	1.65852i	−0.322478	+	0.0994712i
$279$	23.3074	+	29.2265i	1.39538	+	1.74975i
$280$	−1.59430	−	1.99919i	−0.0952777	−	0.119474i
$281$	2.62857	−	0.810807i	0.156808	−	0.0483687i	−0.215358	−	0.976535i	$-0.569092\pi$
$281$	2.62857	−	0.810807i	0.156808	−	0.0483687i	0.372165	+	0.928167i	$0.378616\pi$
$282$	11.1363	−	10.3330i	0.663160	−	0.615322i
$283$	−6.45212	+	0.972500i	−0.383539	+	0.0578091i	−0.337982	−	0.941153i	$-0.609744\pi$
$283$	−6.45212	+	0.972500i	−0.383539	+	0.0578091i	−0.0455567	+	0.998962i	$0.514506\pi$
$284$	−0.599525	+	8.00010i	−0.0355753	+	0.474719i
$285$	−19.2833	+	9.28632i	−1.14224	+	0.550074i
$286$	23.7274	+	7.31894i	1.40303	+	0.432778i
$287$	−6.45281	−	16.4415i	−0.380897	−	0.970511i
$288$	−4.30305	+	2.93377i	−0.253560	+	0.172874i
$289$	−10.4546	−	1.57578i	−0.614979	−	0.0926931i
$290$	1.16304	−	5.09562i	0.0682962	−	0.299225i
$291$	19.7273	+	13.4498i	1.15643	+	0.788443i
$292$	9.07165	+	8.41726i	0.530878	+	0.492583i
$293$	18.2436	+	8.78565i	1.06580	+	0.513263i	0.882751	−	0.469841i	$-0.155689\pi$
$293$	18.2436	+	8.78565i	1.06580	+	0.513263i	0.183050	+	0.983104i	$0.441403\pi$
$294$	0.661010	−	1.14490i	0.0385509	−	0.0667721i
$295$	−5.74279	−	9.94681i	−0.334358	−	0.579126i
$296$	0.290188	+	3.87229i	0.0168668	+	0.225072i
$297$	−6.46872	−	28.3413i	−0.375353	−	1.64453i
$298$	−6.23114	+	15.8767i	−0.360960	+	0.919712i
$299$	3.42355	−	4.29299i	0.197989	−	0.248270i
$300$	−2.86496			−0.165409
$301$	11.6249	−	12.0839i	0.670046	−	0.696504i
$302$	−17.6606			−1.01625
$303$	−0.348195	+	0.436623i	−0.0200033	+	0.0250833i
$304$	2.72929	−	6.95413i	0.156536	−	0.398847i
$305$	1.13648	+	4.97924i	0.0650746	+	0.285111i
$306$	−2.04365	−	27.2706i	−0.116828	−	1.55896i
$307$	−8.19961	−	14.2021i	−0.467976	−	0.810559i	0.531354	−	0.847150i	$-0.321683\pi$
$307$	−8.19961	−	14.2021i	−0.467976	−	0.810559i	−0.999330	+	0.0365911i	$0.988350\pi$
$308$	−5.87545	+	10.1766i	−0.334785	+	0.579864i
$309$	−36.5221	−	17.5881i	−2.07767	−	1.00055i
$310$	−5.26172	−	4.88216i	−0.298846	−	0.277288i
$311$	−17.6888	−	12.0601i	−1.00304	−	0.683863i	−0.0538468	−	0.998549i	$-0.517148\pi$
$311$	−17.6888	−	12.0601i	−1.00304	−	0.683863i	−0.949196	+	0.314686i	$0.898101\pi$
$312$	−3.44466	+	15.0920i	−0.195016	+	0.854419i
$313$	8.11146	+	1.22261i	0.458487	+	0.0691058i	0.374225	−	0.927338i	$-0.377909\pi$
$313$	8.11146	+	1.22261i	0.458487	+	0.0691058i	0.0842617	+	0.996444i	$0.473147\pi$
$314$	−12.7582	+	8.69836i	−0.719984	+	0.490877i
$315$	4.86531	+	12.3966i	0.274129	+	0.698469i
$316$	0.422409	+	0.130296i	0.0237624	+	0.00732973i
$317$	8.28063	−	3.98774i	0.465087	−	0.223974i	−0.186639	−	0.982429i	$-0.559760\pi$
$317$	8.28063	−	3.98774i	0.465087	−	0.223974i	0.651726	+	0.758455i	$0.274045\pi$
$318$	0.118913	−	1.58679i	0.00666832	−	0.0889825i
$319$	−23.7507	+	3.57984i	−1.32978	+	0.200433i
$320$	0.733052	−	0.680173i	0.0409788	−	0.0380228i
$321$	−37.6463	+	11.6123i	−2.10121	+	0.648138i
$322$	1.62017	+	2.03163i	0.0902885	+	0.113218i
$323$	24.4580	+	30.6694i	1.36088	+	1.70649i
$324$	2.38821	−	0.736667i	0.132679	−	0.0409259i
$325$	−3.96088	+	3.67516i	−0.219710	+	0.203861i
$326$	−2.42789	+	0.365946i	−0.134468	+	0.0202679i
$327$	−0.166167	+	2.21735i	−0.00918908	+	0.122620i
$328$	6.22328	−	2.99697i	0.343623	−	0.165480i
$329$	12.9567	+	3.99661i	0.714325	+	0.220340i
$330$	4.81002	+	12.2557i	0.264783	+	0.674656i
$331$	−10.5163	+	7.16990i	−0.578029	+	0.394093i	−0.816747	−	0.576996i	$-0.804225\pi$
$331$	−10.5163	+	7.16990i	−0.578029	+	0.394093i	0.238719	+	0.971089i	$0.423273\pi$
$332$	4.25533	+	0.641387i	0.233541	+	0.0352007i
$333$	4.50014	−	19.7164i	0.246606	−	1.08045i
$334$	0.744306	+	0.507459i	0.0407266	+	0.0277669i
$335$	−9.58076	−	8.88964i	−0.523453	−	0.485693i
$336$	−6.60039	−	3.17858i	−0.360081	−	0.173406i
$337$	−16.7549	+	29.0203i	−0.912697	+	1.58084i	−0.102458	+	0.994737i	$0.532671\pi$
$337$	−16.7549	+	29.0203i	−0.912697	+	1.58084i	−0.810239	+	0.586099i	$0.800663\pi$
$338$	8.09769	+	14.0256i	0.440456	+	0.762893i
$339$	−1.02478	−	13.6747i	−0.0556582	−	0.742707i
$340$	1.16845	+	5.11932i	0.0633682	+	0.277634i
$341$	−12.0509	+	30.7053i	−0.652595	+	1.66279i
$342$	−24.2578	+	30.4184i	−1.31171	+	1.64484i
$343$	19.0794			1.03019
$344$	5.05222	+	4.18032i	0.272397	+	0.225388i
$345$	2.91144			0.156747
$346$	14.2986	−	17.9298i	0.768695	−	0.963914i
$347$	−8.92916	+	22.7511i	−0.479343	+	1.22135i	0.462899	+	0.886411i	$0.346809\pi$
$347$	−8.92916	+	22.7511i	−0.479343	+	1.22135i	−0.942242	+	0.334934i	$0.891286\pi$
$348$	−3.33207	−	14.5987i	−0.178618	−	0.782575i
$349$	0.808061	+	10.7828i	0.0432545	+	0.577191i	0.976158	+	0.217063i	$0.0696478\pi$
$349$	0.808061	+	10.7828i	0.0432545	+	0.577191i	−0.932903	+	0.360128i	$0.882733\pi$
$350$	−1.27853	−	2.21448i	−0.0683403	−	0.118369i
$351$	17.0901	−	29.6009i	0.912202	−	1.57998i
$352$	−4.14037	−	1.99390i	−0.220683	−	0.106275i
$353$	15.4614	+	14.3461i	0.822926	+	0.763564i	0.974382	−	0.224900i	$-0.0722055\pi$
$353$	15.4614	+	14.3461i	0.822926	+	0.763564i	−0.151455	+	0.988464i	$0.548396\pi$
$354$	−27.1880	−	18.5365i	−1.44503	−	0.985202i
$355$	−1.78518	+	7.82140i	−0.0947476	+	0.415117i
$356$	−13.3171	−	2.00723i	−0.705805	−	0.106383i
$357$	31.7837	−	21.6698i	1.68217	−	1.14689i
$358$	6.51128	+	16.5905i	0.344132	+	0.876834i
$359$	−23.8223	−	7.34821i	−1.25729	−	0.387824i	−0.406658	−	0.913580i	$-0.633306\pi$
$359$	−23.8223	−	7.34821i	−1.25729	−	0.387824i	−0.850635	+	0.525757i	$0.823782\pi$
$360$	−4.69224	+	2.25967i	−0.247303	+	0.119095i
$361$	2.75074	−	36.7060i	0.144776	−	1.93190i
$362$	−3.49068	+	0.526136i	−0.183466	+	0.0276531i
$363$	21.2502	−	19.7173i	1.11535	−	1.03489i
$364$	−13.2027	+	4.07248i	−0.692008	+	0.213456i
$365$	7.71580	+	9.67530i	0.403863	+	0.506429i
$366$	9.12302	+	11.4399i	0.476868	+	0.597973i
$367$	−13.1754	+	4.06407i	−0.687750	+	0.212143i	−0.618883	−	0.785483i	$-0.712415\pi$
$367$	−13.1754	+	4.06407i	−0.687750	+	0.212143i	−0.0688670	+	0.997626i	$0.521938\pi$
$368$	−0.744946	+	0.691209i	−0.0388330	+	0.0360317i
$369$	−35.5715	+	5.36154i	−1.85178	+	0.279111i
$370$	−0.290188	+	3.87229i	−0.0150862	+	0.201311i
$371$	1.27958	−	0.616212i	0.0664323	−	0.0319921i
$372$	−19.6506	−	6.06140i	−1.01883	−	0.314269i
$373$	−10.4977	−	26.7477i	−0.543550	−	1.38494i	−0.893876	−	0.448315i	$-0.852024\pi$
$373$	−10.4977	−	26.7477i	−0.543550	−	1.38494i	0.350325	−	0.936628i	$-0.386071\pi$
$374$	19.9377	−	13.5933i	1.03095	−	0.702893i
$375$	−2.83296	−	0.427000i	−0.146293	−	0.0220502i
$376$	−1.17994	+	5.16966i	−0.0608508	+	0.266605i
$377$	−23.3339	−	15.9088i	−1.20176	−	0.819344i
$378$	11.8575	+	11.0021i	0.609884	+	0.565889i
$379$	−11.3653	−	5.47325i	−0.583797	−	0.281142i	0.118583	−	0.992944i	$-0.462165\pi$
$379$	−11.3653	−	5.47325i	−0.583797	−	0.281142i	−0.702380	+	0.711802i	$0.747879\pi$
$380$	3.73527	−	6.46968i	0.191615	−	0.331887i
$381$	11.3684	+	19.6906i	0.582418	+	1.00878i
$382$	−0.126867	−	1.69292i	−0.00649108	−	0.0866175i
$383$	3.46914	+	15.1993i	0.177265	+	0.776649i	0.982886	+	0.184217i	$0.0589749\pi$
$383$	3.46914	+	15.1993i	0.177265	+	0.776649i	−0.805621	+	0.592432i	$0.798168\pi$
$384$	1.04669	−	2.66692i	0.0534136	−	0.136096i
$385$	−7.32656	+	9.18722i	−0.373396	+	0.468224i
$386$	−17.1126			−0.871008
$387$	−18.7258	−	28.5595i	−0.951888	−	1.45176i
$388$	−8.33380			−0.423085
$389$	7.97046	−	9.99464i	0.404118	−	0.506748i	−0.537577	−	0.843214i	$-0.680660\pi$
$389$	7.97046	−	9.99464i	0.404118	−	0.506748i	0.941696	+	0.336466i	$0.109232\pi$
$390$	−5.65554	+	14.4101i	−0.286379	+	0.729683i
$391$	−1.18741	−	5.20238i	−0.0600499	−	0.263096i
$392$	0.0344838	+	0.460154i	0.00174170	+	0.0232413i
$393$	−20.1489	−	34.8989i	−1.01638	−	1.76042i
$394$	−0.741762	+	1.28477i	−0.0373694	+	0.0647257i
$395$	0.398272	+	0.191798i	0.0200392	+	0.00965039i
$396$	17.5443	+	16.2787i	0.881633	+	0.818036i
$397$	2.42749	+	1.65504i	0.121832	+	0.0830640i	0.622703	−	0.782458i	$-0.286034\pi$
$397$	2.42749	+	1.65504i	0.121832	+	0.0830640i	−0.500871	+	0.865522i	$0.666987\pi$
$398$	2.05342	−	8.99663i	0.102929	−	0.450960i
$399$	−54.1170	−	8.15682i	−2.70924	−	0.408352i
$400$	0.826239	−	0.563320i	0.0413119	−	0.0281660i
$401$	−3.30593	−	8.42338i	−0.165090	−	0.420643i	0.824257	−	0.566215i	$-0.191593\pi$
$401$	−3.30593	−	8.42338i	−0.165090	−	0.420643i	−0.989348	+	0.145572i	$0.953498\pi$
$402$	−35.7806	−	11.0369i	−1.78457	−	0.550468i
$403$	−34.9430	+	16.8276i	−1.74063	+	0.838245i
$404$	0.0145670	−	0.194383i	0.000724736	−	0.00967093i
$405$	2.47134	−	0.372494i	0.122802	−	0.0185094i
$406$	9.79716	−	9.09043i	0.486225	−	0.451151i
$407$	17.0521	−	5.25988i	0.845241	−	0.260722i
$408$	9.37968	+	11.7617i	0.464363	+	0.582293i
$409$	13.5310	+	16.9674i	0.669066	+	0.838982i	0.994296	−	0.106652i	$-0.0340132\pi$
$409$	13.5310	+	16.9674i	0.669066	+	0.838982i	−0.325230	+	0.945635i	$0.605442\pi$
$410$	6.60045	−	2.03597i	0.325973	−	0.100549i
$411$	20.3577	−	18.8892i	1.00417	−	0.931733i
$412$	13.9910	−	2.10881i	0.689289	−	0.103894i
$413$	2.19477	−	29.2872i	0.107998	−	1.44113i
$414$	4.76838	−	2.29633i	0.234353	−	0.112858i
$415$	4.11221	+	1.26845i	0.201860	+	0.0622656i
$416$	−1.97404	−	5.02977i	−0.0967852	−	0.246605i
$417$	−13.3193	+	9.08097i	−0.652251	+	0.444697i
$418$	−33.9472	−	5.11671i	−1.66041	−	0.250267i
$419$	6.87899	−	30.1388i	0.336061	−	1.47238i	−0.471117	−	0.882071i	$-0.656149\pi$
$419$	6.87899	−	30.1388i	0.336061	−	1.47238i	0.807178	−	0.590308i	$-0.200994\pi$
$420$	−6.05292	−	4.12681i	−0.295352	−	0.201368i
$421$	9.63669	+	8.94154i	0.469663	+	0.435784i	0.879159	−	0.476528i	$-0.158105\pi$
$421$	9.63669	+	8.94154i	0.469663	+	0.435784i	−0.409496	+	0.912312i	$0.634295\pi$
$422$	10.3491	+	4.98385i	0.503785	+	0.242610i
$423$	13.8080	−	23.9161i	0.671367	−	1.16284i
$424$	0.277706	+	0.481001i	0.0134866	+	0.0233595i
$425$	0.392406	+	5.23629i	0.0190345	+	0.253997i
$426$	5.11448	+	22.4080i	0.247797	+	1.08567i
$427$	−4.77123	+	12.1569i	−0.230896	+	0.588313i
$428$	8.57372	−	10.7511i	0.414426	−	0.519674i
$429$	71.1386			3.43461
$430$	4.37275	+	4.88662i	0.210873	+	0.235654i
$431$	8.44400			0.406733			0.203367	−	0.979103i	$-0.434812\pi$
$431$	8.44400			0.406733			0.203367	+	0.979103i	$0.434812\pi$
$432$	−3.94409	+	4.94573i	−0.189760	+	0.237952i
$433$	13.4613	−	34.2989i	0.646910	−	1.64830i	−0.109331	−	0.994005i	$-0.534871\pi$
$433$	13.4613	−	34.2989i	0.646910	−	1.64830i	0.756241	−	0.654293i	$-0.227034\pi$
$434$	−4.08418	−	17.8940i	−0.196047	−	0.858937i
$435$	−1.11902	−	14.9323i	−0.0536530	−	0.715950i
$436$	−0.388063	−	0.672144i	−0.0185848	−	0.0321899i
$437$	−3.79587	+	6.57465i	−0.181581	+	0.314508i
$438$	31.9433	+	15.3831i	1.52631	+	0.735032i
$439$	10.7457	+	9.97059i	0.512866	+	0.475870i	0.893632	−	0.448801i	$-0.148149\pi$
$439$	10.7457	+	9.97059i	0.512866	+	0.475870i	−0.380765	+	0.924672i	$0.624339\pi$
$440$	−3.79696	−	2.58872i	−0.181013	−	0.123412i
$441$	0.534763	−	2.34295i	0.0254649	−	0.111569i
$442$	28.0556	+	4.22870i	1.33447	+	0.201139i
$443$	17.1172	−	11.6703i	0.813261	−	0.554472i	−0.0837465	−	0.996487i	$-0.526689\pi$
$443$	17.1172	−	11.6703i	0.813261	−	0.554472i	0.897008	+	0.442015i	$0.145736\pi$
$444$	4.06444	+	10.3560i	0.192890	+	0.491476i
$445$	−12.8692	−	3.96962i	−0.610059	−	0.188178i
$446$	9.91227	−	4.77350i	0.469360	−	0.226032i
$447$	−3.65160	+	48.7272i	−0.172715	+	2.30472i
$448$	2.52850	−	0.381110i	0.119460	−	0.0180058i
$449$	−8.46039	+	7.85010i	−0.399271	+	0.370469i	−0.854099	−	0.520110i	$-0.825891\pi$
$449$	−8.46039	+	7.85010i	−0.399271	+	0.370469i	0.454829	+	0.890579i	$0.349700\pi$
$450$	−4.97662	+	1.53508i	−0.234600	+	0.0723646i
$451$	−19.7911	−	24.8172i	−0.931924	−	1.16860i
$452$	2.98431	+	3.74221i	0.140370	+	0.176019i
$453$	−48.3490	+	14.9137i	−2.27163	+	0.700706i
$454$	−12.9249	+	11.9926i	−0.606598	+	0.562841i
$455$	−13.6622	+	2.05924i	−0.640493	+	0.0965388i
$456$	1.59943	−	21.3429i	0.0749003	−	0.999475i
$457$	8.20445	−	3.95106i	0.383788	−	0.184823i	−0.232034	−	0.972708i	$-0.574538\pi$
$457$	8.20445	−	3.95106i	0.383788	−	0.184823i	0.615822	+	0.787885i	$0.288824\pi$
$458$	−8.97535	−	2.76853i	−0.419390	−	0.129365i
$459$	−12.1354	−	30.9206i	−0.566434	−	1.44325i
$460$	−0.839645	+	0.572460i	−0.0391486	+	0.0266911i
$461$	−15.8488	−	2.38882i	−0.738152	−	0.111259i	−0.230805	−	0.973000i	$-0.574136\pi$
$461$	−15.8488	−	2.38882i	−0.738152	−	0.111259i	−0.507348	+	0.861742i	$0.669374\pi$
$462$	−7.49135	+	32.8218i	−0.348529	+	1.52701i
$463$	1.87834	+	1.28063i	0.0872937	+	0.0595158i	0.606180	−	0.795327i	$-0.292701\pi$
$463$	1.87834	+	1.28063i	0.0872937	+	0.0595158i	−0.518887	+	0.854843i	$0.673653\pi$
$464$	3.83142	+	3.55503i	0.177869	+	0.165038i
$465$	−18.5277	−	8.92247i	−0.859201	−	0.413769i
$466$	−1.39317	+	2.41303i	−0.0645371	+	0.111782i
$467$	10.2900	+	17.8228i	0.476165	+	0.824743i	0.999627	−	0.0273065i	$-0.00869301\pi$
$467$	10.2900	+	17.8228i	0.476165	+	0.824743i	−0.523462	+	0.852049i	$0.675360\pi$
$468$	2.10292	+	28.0616i	0.0972077	+	1.29715i
$469$	−7.43664	−	32.5821i	−0.343392	−	1.50450i
$470$	−1.93726	+	4.93606i	−0.0893591	+	0.227683i
$471$	−27.5823	+	34.5871i	−1.27092	+	1.59369i
$472$	11.4856			0.528667
$473$	13.5625	−	26.9100i	0.623607	−	1.23732i
$474$	1.26645			0.0581700
$475$	4.65780	−	5.84070i	0.213715	−	0.267990i
$476$	−4.90545	+	12.4989i	−0.224841	+	0.572886i
$477$	−0.643661	−	2.82006i	−0.0294712	−	0.129122i
$478$	−2.15703	−	28.7836i	−0.0986604	−	1.31653i
$479$	20.8653	+	36.1397i	0.953359	+	1.65127i	0.738081	+	0.674713i	$0.235732\pi$
$479$	20.8653	+	36.1397i	0.953359	+	1.65127i	0.215278	+	0.976553i	$0.430934\pi$
$480$	1.43248	−	2.48113i	0.0653835	−	0.113248i
$481$	18.9039	+	9.10363i	0.861943	+	0.415090i
$482$	−6.59581	−	6.12002i	−0.300431	−	0.278759i
$483$	6.15113	+	4.19377i	0.279886	+	0.190823i
$484$	−2.25154	+	9.86465i	−0.102343	+	0.448393i
$485$	−8.24072	−	1.24209i	−0.374192	−	0.0564003i
$486$	−9.76385	+	6.65688i	−0.442897	+	0.301962i
$487$	−5.91966	−	15.0830i	−0.268245	−	0.683478i	−0.999998	−	0.00190794i	$-0.999393\pi$
$487$	−5.91966	−	15.0830i	−0.268245	−	0.683478i	0.731753	−	0.681570i	$-0.238703\pi$
$488$	−4.88039	−	1.50540i	−0.220925	−	0.0681463i
$489$	−6.33776	+	3.05210i	−0.286603	+	0.138021i
$490$	−0.0344838	+	0.460154i	−0.00155782	+	0.0207877i
$491$	−21.7164	+	3.27322i	−0.980048	+	0.147718i	−0.619478	−	0.785014i	$-0.712656\pi$
$491$	−21.7164	+	3.27322i	−0.980048	+	0.147718i	−0.360570	+	0.932732i	$0.617418\pi$
$492$	14.5065	−	13.4601i	0.654004	−	0.606827i
$493$	−26.2258	+	8.08958i	−1.18115	+	0.364336i
$494$	−25.1674	−	31.5589i	−1.13233	−	1.41990i
$495$	14.9221	+	18.7117i	0.670699	+	0.841030i
$496$	6.85894	−	2.11570i	0.307975	−	0.0949978i
$497$	−15.0379	+	13.9531i	−0.674542	+	0.625884i
$498$	12.1913	−	1.83755i	0.546307	−	0.0823426i
$499$	1.53834	−	20.5277i	0.0688656	−	0.918948i	−0.850609	−	0.525799i	$-0.823767\pi$
$499$	1.53834	−	20.5277i	0.0688656	−	0.918948i	0.919475	−	0.393149i	$-0.128614\pi$
$500$	0.900969	−	0.433884i	0.0402926	−	0.0194039i
$501$	2.46620	+	0.760722i	0.110182	+	0.0339865i
$502$	−1.65157	−	4.20812i	−0.0737130	−	0.187818i
$503$	−7.76532	+	5.29431i	−0.346239	+	0.236061i	−0.723935	−	0.689868i	$-0.757669\pi$
$503$	−7.76532	+	5.29431i	−0.346239	+	0.236061i	0.377697	+	0.925929i	$0.376716\pi$
$504$	−13.1684	−	1.98482i	−0.586568	−	0.0884109i
$505$	0.0433756	−	0.190041i	0.00193019	−	0.00845672i
$506$	3.85856	+	2.63072i	0.171534	+	0.116950i
$507$	34.0130	+	31.5594i	1.51057	+	1.40160i
$508$	−7.15021	−	3.44336i	−0.317239	−	0.152774i
$509$	−4.74404	+	8.21692i	−0.210276	+	0.364209i	−0.951801	−	0.306717i	$-0.900770\pi$
$509$	−4.74404	+	8.21692i	−0.210276	+	0.364209i	0.741525	+	0.670925i	$0.234103\pi$
$510$	7.52192	+	13.0283i	0.333076	+	0.576905i
$511$	2.36476	+	31.5556i	0.104611	+	1.39594i
$512$	0.222521	+	0.974928i	0.00983413	+	0.0430861i
$513$	−17.2650	+	43.9906i	−0.762270	+	1.94223i
$514$	9.11212	−	11.4262i	0.401918	−	0.503990i
$515$	14.1491			0.623482
$516$	17.3615	+	7.17797i	0.764296	+	0.315992i
$517$	24.3680			1.07170
$518$	−6.19091	+	7.76315i	−0.272013	+	0.341093i
$519$	24.0038	−	61.1607i	1.05365	−	2.68466i
$520$	−1.20234	−	5.26780i	−0.0527262	−	0.231008i
$521$	1.83692	+	24.5120i	0.0804770	+	1.07389i	0.880539	+	0.473973i	$0.157181\pi$
$521$	1.83692	+	24.5120i	0.0804770	+	1.07389i	−0.800062	+	0.599917i	$0.795200\pi$
$522$	−13.6102	−	23.5736i	−0.595703	−	1.03179i
$523$	−3.98055	+	6.89451i	−0.174057	+	0.301476i	−0.939835	−	0.341630i	$-0.889021\pi$
$523$	−3.98055	+	6.89451i	−0.174057	+	0.301476i	0.765777	+	0.643106i	$0.222354\pi$
$524$	12.6728	+	6.10289i	0.553613	+	0.266606i
$525$	−5.37025	−	4.98286i	−0.234377	−	0.217470i
$526$	15.2657	+	10.4080i	0.665615	+	0.453809i
$527$	−8.38694	+	36.7456i	−0.365341	+	1.60066i
$528$	−13.0188	−	1.96227i	−0.566570	−	0.0853967i
$529$	−18.1502	+	12.3746i	−0.789140	+	0.538027i
$530$	0.202915	+	0.517019i	0.00881406	+	0.0224579i
$531$	−57.1594	−	17.6313i	−2.48051	−	0.765135i
$532$	17.2109	−	8.28831i	0.746185	−	0.359344i
$533$	2.78909	−	37.2178i	0.120809	−	1.61208i
$534$	−38.1530	+	5.75064i	−1.65104	+	0.248854i
$535$	10.0803	−	9.35318i	0.435811	−	0.404373i
$536$	12.4890	−	3.85236i	0.539444	−	0.166396i
$537$	31.8358	+	39.9209i	1.37382	+	1.72271i
$538$	−0.861357	−	1.08011i	−0.0371357	−	0.0465667i
$539$	2.02634	−	0.625045i	0.0872808	−	0.0269226i
$540$	−4.63716	+	4.30266i	−0.199552	+	0.185157i
$541$	12.4405	−	1.87511i	0.534860	−	0.0806172i	0.123942	−	0.992289i	$-0.460446\pi$
$541$	12.4405	−	1.87511i	0.534860	−	0.0806172i	0.410918	+	0.911672i	$0.365208\pi$
$542$	−0.241865	+	3.22746i	−0.0103890	+	0.138631i
$543$	−9.11206	+	4.38814i	−0.391036	+	0.188313i
$544$	−5.01769	−	1.54775i	−0.215132	−	0.0663593i
$545$	−0.283550	−	0.722475i	−0.0121460	−	0.0309474i
$546$	−32.7056	+	22.2983i	−1.39967	+	0.954279i
$547$	23.3604	+	3.52101i	0.998818	+	0.150548i	0.628046	−	0.778176i	$-0.283855\pi$
$547$	23.3604	+	3.52101i	0.998818	+	0.150548i	0.370772	+	0.928724i	$0.379093\pi$
$548$	−2.15698	+	9.45034i	−0.0921415	+	0.403698i
$549$	21.9769	+	14.9836i	0.937953	+	0.639485i
$550$	−3.36872	−	3.12571i	−0.143643	−	0.133281i
$551$	35.1792	+	16.9414i	1.49869	+	0.721729i
$552$	−1.45572	+	2.52138i	−0.0619597	+	0.107317i
$553$	0.565172	+	0.978907i	0.0240336	+	0.0416274i
$554$	2.01969	+	26.9509i	0.0858085	+	1.14504i
$555$	2.47556	+	10.8461i	0.105082	+	0.460393i
$556$	2.05569	−	5.23780i	0.0871805	−	0.222132i
$557$	18.0620	−	22.6491i	0.765313	−	0.959672i	−0.234610	−	0.972090i	$-0.575381\pi$
$557$	18.0620	−	22.6491i	0.765313	−	0.959672i	0.999923	+	0.0124172i	$0.00395262\pi$
$558$	−37.3821			−1.58251
$559$	33.2105	−	12.3475i	1.40466	−	0.522244i
$560$	2.55706			0.108056
$561$	43.1040	−	54.0507i	1.81985	−	2.28202i
$562$	−1.00497	+	2.56063i	−0.0423923	+	0.108014i
$563$	4.00310	+	17.5387i	0.168710	+	0.739169i	0.986515	+	0.163672i	$0.0523340\pi$
$563$	4.00310	+	17.5387i	0.168710	+	0.739169i	−0.817804	+	0.575496i	$0.804809\pi$
$564$	1.13528	+	15.1493i	0.0478040	+	0.637900i
$565$	2.39323	+	4.14520i	0.100684	+	0.174390i
$566$	3.26250	−	5.65081i	0.137133	−	0.237521i
$567$	5.75785	+	2.77283i	0.241807	+	0.116448i
$568$	−5.88094	−	5.45671i	−0.246759	−	0.228959i
$569$	13.9677	+	9.52300i	0.585555	+	0.399225i	0.819546	−	0.573014i	$-0.194226\pi$
$569$	13.9677	+	9.52300i	0.585555	+	0.399225i	−0.233990	+	0.972239i	$0.575178\pi$
$570$	4.76257	−	20.8662i	0.199482	−	0.873988i
$571$	−24.8977	−	3.75272i	−1.04194	−	0.157047i	−0.394289	−	0.918987i	$-0.629009\pi$
$571$	−24.8977	−	3.75272i	−1.04194	−	0.157047i	−0.647648	+	0.761940i	$0.724247\pi$
$572$	−20.5160	+	13.9876i	−0.857817	+	0.584850i
$573$	−1.77693	−	4.52754i	−0.0742323	−	0.189141i
$574$	16.8777	+	5.20609i	0.704463	+	0.217298i
$575$	−0.915587	+	0.440924i	−0.0381826	+	0.0183878i
$576$	0.389194	−	5.19344i	0.0162164	−	0.216393i
$577$	33.8948	−	5.10882i	1.41106	−	0.212683i	0.601103	−	0.799172i	$-0.294728\pi$
$577$	33.8948	−	5.10882i	1.41106	−	0.212683i	0.809958	+	0.586488i	$0.199490\pi$
$578$	7.75036	−	7.19128i	0.322372	−	0.299118i
$579$	−46.8488	+	14.4509i	−1.94697	+	0.600561i
$580$	3.25877	+	4.08637i	0.135313	+	0.169677i
$581$	6.86090	+	8.60330i	0.284638	+	0.356925i
$582$	−22.8153	+	7.03758i	−0.945723	+	0.291717i
$583$	1.87103	−	1.73606i	0.0774900	−	0.0719003i
$584$	−12.2370	+	1.84442i	−0.506369	+	0.0763228i
$585$	−2.10292	+	28.0616i	−0.0869452	+	1.16020i
$586$	−18.2436	+	8.78565i	−0.753635	+	0.362932i
$587$	35.5101	+	10.9534i	1.46566	+	0.452096i	0.921993	−	0.387205i	$-0.126560\pi$
$587$	35.5101	+	10.9534i	1.46566	+	0.452096i	0.543666	+	0.839302i	$0.317036\pi$
$588$	0.482988	+	1.23063i	0.0199181	+	0.0507505i
$589$	44.3048	−	30.2065i	1.82555	−	1.24464i
$590$	11.3573	+	1.71184i	0.467573	+	0.0704753i
$591$	−0.945766	+	4.14367i	−0.0389036	+	0.170448i
$592$	−3.20841	−	2.18746i	−0.131865	−	0.0899039i
$593$	5.16790	+	4.79511i	0.212220	+	0.196912i	0.779119	−	0.626876i	$-0.215667\pi$
$593$	5.16790	+	4.79511i	0.212220	+	0.196912i	−0.566899	+	0.823787i	$0.691857\pi$
$594$	26.1913	+	12.6131i	1.07464	+	0.517520i
$595$	−6.71353	+	11.6282i	−0.275228	+	0.476709i
$596$	−8.52784	−	14.7707i	−0.349314	−	0.605030i
$597$	−1.97570	−	26.3639i	−0.0808601	−	1.07900i
$598$	1.22185	+	5.35327i	0.0499652	+	0.218912i
$599$	4.15911	−	10.5972i	0.169936	−	0.432991i	−0.820380	−	0.571819i	$-0.806238\pi$
$599$	4.15911	−	10.5972i	0.169936	−	0.432991i	0.990317	+	0.138828i	$0.0443334\pi$
$600$	1.78627	−	2.23992i	0.0729243	−	0.0914442i
$601$	2.86557			0.116889			0.0584444	−	0.998291i	$-0.481386\pi$
$601$	2.86557			0.116889			0.0584444	+	0.998291i	$0.481386\pi$
$602$	2.19958	+	16.6229i	0.0896482	+	0.677498i
$603$	−68.0669			−2.77190
$604$	11.0112	−	13.8076i	0.448039	−	0.561823i
$605$	−3.69664	+	9.41890i	−0.150290	+	0.382933i
$606$	−0.124269	−	0.544460i	−0.00504810	−	0.0221172i
$607$	−2.27802	−	30.3981i	−0.0924620	−	1.23382i	−0.829709	−	0.558196i	$-0.811494\pi$
$607$	−2.27802	−	30.3981i	−0.0924620	−	1.23382i	0.737247	−	0.675623i	$-0.236125\pi$
$608$	3.73527	+	6.46968i	0.151485	+	0.262380i
$609$	19.1449	−	33.1600i	0.775792	−	1.34371i
$610$	−4.60151	−	2.21597i	−0.186310	−	0.0897220i
$611$	21.0030	+	19.4879i	0.849690	+	0.788397i
$612$	22.5952	+	15.4051i	0.913357	+	0.622716i
$613$	1.97479	−	8.65213i	0.0797611	−	0.349456i	−0.919262	−	0.393646i	$-0.871214\pi$
$613$	1.97479	−	8.65213i	0.0797611	−	0.349456i	0.999023	+	0.0441900i	$0.0140707\pi$
$614$	16.2160	+	2.44418i	0.654427	+	0.0986389i
$615$	16.3506	−	11.1477i	0.659320	−	0.449517i
$616$	−4.29308	−	10.9386i	−0.172973	−	0.440729i
$617$	6.26107	+	1.93128i	0.252061	+	0.0777506i	0.418211	−	0.908350i	$-0.362657\pi$
$617$	6.26107	+	1.93128i	0.252061	+	0.0777506i	−0.166150	+	0.986101i	$0.553134\pi$
$618$	36.5221	−	17.5881i	1.46914	−	0.707499i
$619$	−3.26288	+	43.5401i	−0.131146	+	1.75003i	0.412724	+	0.910856i	$0.364577\pi$
$619$	−3.26288	+	43.5401i	−0.131146	+	1.75003i	−0.543870	+	0.839169i	$0.683042\pi$
$620$	7.09766	−	1.06980i	0.285049	−	0.0429642i
$621$	4.71240	−	4.37247i	0.189102	−	0.175461i
$622$	20.4577	−	6.31038i	0.820281	−	0.253023i
$623$	−21.4713	−	26.9241i	−0.860229	−	1.07869i
$624$	−9.65173	−	12.1029i	−0.386378	−	0.484503i
$625$	0.955573	−	0.294755i	0.0382229	−	0.0117902i
$626$	−6.01328	+	5.57951i	−0.240339	+	0.223002i
$627$	−97.2573	+	14.6592i	−3.88408	+	0.585431i
$628$	1.15393	−	15.3981i	0.0460466	−	0.614450i
$629$	18.3710	−	8.84703i	0.732501	−	0.352754i
$630$	−12.7255	−	3.92530i	−0.506997	−	0.156388i
$631$	−9.10003	−	23.1865i	−0.362266	−	0.923040i	−0.989542	−	0.144243i	$-0.953925\pi$
$631$	−9.10003	−	23.1865i	−0.362266	−	0.923040i	0.627276	−	0.778797i	$-0.284170\pi$
$632$	−0.365238	+	0.249015i	−0.0145284	+	0.00990528i
$633$	32.5411	+	4.90479i	1.29339	+	0.194948i
$634$	−2.04515	+	8.96038i	−0.0812232	+	0.355862i
$635$	−6.55714	−	4.47058i	−0.260212	−	0.177410i
$636$	1.16646	+	1.08231i	0.0462530	+	0.0429166i
$637$	2.24640	+	1.08181i	0.0890055	+	0.0428628i
$638$	12.0095	−	20.8010i	0.475460	−	0.823521i
$639$	20.8907	+	36.1837i	0.826422	+	1.43141i
$640$	0.0747301	+	0.997204i	0.00295397	+	0.0394179i
$641$	5.68381	+	24.9024i	0.224497	+	0.983586i	0.954047	+	0.299658i	$0.0968725\pi$
$641$	5.68381	+	24.9024i	0.224497	+	0.983586i	−0.729550	+	0.683928i	$0.760270\pi$
$642$	14.3932	−	36.6732i	0.568054	−	1.44738i
$643$	−13.7305	+	17.2175i	−0.541477	+	0.678991i	−0.975014	−	0.222145i	$-0.928694\pi$
$643$	−13.7305	+	17.2175i	−0.541477	+	0.678991i	0.433536	+	0.901136i	$0.357266\pi$
$644$	−2.59855			−0.102397
$645$	16.0977	+	9.68539i	0.633848	+	0.381362i
$646$	−39.2276			−1.54339
$647$	−5.39829	+	6.76924i	−0.212229	+	0.266126i	−0.876539	−	0.481330i	$-0.840154\pi$
$647$	−5.39829	+	6.76924i	−0.212229	+	0.266126i	0.664311	+	0.747457i	$0.268725\pi$
$648$	−0.913078	+	2.32649i	−0.0358691	+	0.0913930i
$649$	−11.7450	−	51.4583i	−0.461033	−	2.01992i
$650$	−0.403787	−	5.38817i	−0.0158378	−	0.211341i
$651$	−26.2919	−	45.5390i	−1.03046	−	1.78481i
$652$	1.22766	−	2.12637i	0.0480788	−	0.0832749i
$653$	7.18740	+	3.46127i	0.281265	+	0.135450i	0.569198	−	0.822201i	$-0.307254\pi$
$653$	7.18740	+	3.46127i	0.281265	+	0.135450i	−0.287933	+	0.957651i	$0.592968\pi$
$654$	−1.62999	−	1.51241i	−0.0637377	−	0.0591399i
$655$	11.6216	+	7.92351i	0.454095	+	0.309597i
$656$	−1.53702	+	6.73414i	−0.0600107	+	0.262924i
$657$	63.7300	+	9.60576i	2.48635	+	0.374756i
$658$	−11.2030	+	7.63810i	−0.436740	+	0.297764i
$659$	−11.0913	−	28.2601i	−0.432055	−	1.10086i	−0.966730	−	0.255801i	$-0.917661\pi$
$659$	−11.0913	−	28.2601i	−0.432055	−	1.10086i	0.534674	−	0.845058i	$-0.320434\pi$
$660$	−12.5809	−	3.88070i	−0.489712	−	0.151056i
$661$	15.7513	−	7.58544i	0.612655	−	0.295039i	−0.101708	−	0.994814i	$-0.532431\pi$
$661$	15.7513	−	7.58544i	0.612655	−	0.295039i	0.714363	+	0.699775i	$0.246716\pi$
$662$	0.951159	−	12.6923i	0.0369679	−	0.493302i
$663$	80.3781	−	12.1150i	3.12163	−	0.470509i
$664$	−3.15461	+	2.92705i	−0.122423	+	0.113592i
$665$	18.2539	−	5.63059i	0.707857	−	0.218345i
$666$	12.6091	+	15.8113i	0.488593	+	0.612676i
$667$	−3.31164	−	4.15267i	−0.128227	−	0.160792i
$668$	−0.860815	+	0.265526i	−0.0333059	+	0.0102735i
$669$	23.1056	−	21.4388i	0.893313	−	0.828874i
$670$	12.9237	−	1.94794i	0.499286	−	0.0752553i
$671$	−1.75395	+	23.4048i	−0.0677103	+	0.903531i
$672$	6.60039	−	3.17858i	0.254615	−	0.122616i
$673$	−0.0421969	−	0.0130160i	−0.00162657	−	0.000501731i	0.293942	−	0.955823i	$-0.405033\pi$
$673$	−0.0421969	−	0.0130160i	−0.00162657	−	0.000501731i	−0.295568	+	0.955322i	$0.595509\pi$
$674$	−12.2425	−	31.1934i	−0.471563	−	1.20152i
$675$	−5.22664	+	3.56347i	−0.201174	+	0.137158i
$676$	−16.0145	−	2.41380i	−0.615942	−	0.0928383i
$677$	−6.94967	+	30.4485i	−0.267097	+	1.17023i	0.646275	+	0.763105i	$0.276326\pi$
$677$	−6.94967	+	30.4485i	−0.267097	+	1.17023i	−0.913372	+	0.407125i	$0.866531\pi$
$678$	11.3302	+	7.72482i	0.435135	+	0.296670i
$679$	−15.6214	−	14.4945i	−0.599493	−	0.556248i
$680$	−4.73096	−	2.27831i	−0.181424	−	0.0873693i
$681$	−25.2571	+	43.7465i	−0.967852	+	1.67637i
$682$	−16.4927	−	28.5663i	−0.631540	−	1.09386i
$683$	2.20072	+	29.3666i	0.0842082	+	1.12368i	0.865968	+	0.500100i	$0.166703\pi$
$683$	2.20072	+	29.3666i	0.0842082	+	1.12368i	−0.781759	+	0.623580i	$0.785677\pi$
$684$	−8.65752	−	37.9311i	−0.331029	−	1.45033i
$685$	−3.54139	+	9.02330i	−0.135309	+	0.344763i
$686$	−11.8958	+	14.9168i	−0.454183	+	0.569528i
$687$	−26.9095			−1.02666
$688$	−6.41831	+	1.34360i	−0.244696	+	0.0512242i
$689$	3.00105			0.114331
$690$	−1.81526	+	2.27626i	−0.0691056	+	0.0866557i
$691$	12.1091	−	30.8534i	0.460651	−	1.17372i	−0.492254	−	0.870451i	$-0.663827\pi$
$691$	12.1091	−	30.8534i	0.460651	−	1.17372i	0.952905	−	0.303268i	$-0.0980777\pi$
$692$	5.10310	+	22.3581i	0.193991	+	0.849929i
$693$	4.57338	+	61.0275i	0.173728	+	2.31824i
$694$	−12.2203	−	21.1662i	−0.463877	−	0.803458i
$695$	2.81338	−	4.87292i	0.106718	−	0.184840i
$696$	13.4913	+	6.49705i	0.511385	+	0.246270i
$697$	−26.5879	−	24.6700i	−1.00709	−	0.934442i
$698$	−8.93416	−	6.09121i	−0.338163	−	0.230556i
$699$	−1.77632	+	7.78258i	−0.0671867	+	0.294364i
$700$	2.52850	+	0.381110i	0.0955683	+	0.0144046i
$701$	−12.6363	+	8.61530i	−0.477267	+	0.325395i	−0.777947	−	0.628330i	$-0.783739\pi$
$701$	−12.6363	+	8.61530i	−0.477267	+	0.325395i	0.300680	+	0.953725i	$0.402786\pi$
$702$	12.4874	+	31.8174i	0.471307	+	1.20087i
$703$	−27.7204	−	8.55062i	−1.04550	−	0.322493i
$704$	4.14037	−	1.99390i	0.156046	−	0.0751479i
$705$	−1.13528	+	15.1493i	−0.0427572	+	0.570555i
$706$	−20.8562	+	3.14357i	−0.784934	+	0.118310i
$707$	0.365385	−	0.339028i	0.0137417	−	0.0127504i
$708$	31.4438	−	9.69914i	1.18173	−	0.364516i
$709$	6.87903	+	8.62603i	0.258347	+	0.323957i	0.894042	−	0.447983i	$-0.147858\pi$
$709$	6.87903	+	8.62603i	0.258347	+	0.323957i	−0.635695	+	0.771941i	$0.719286\pi$
$710$	−5.00197	−	6.27227i	−0.187721	−	0.235394i
$711$	2.19991	−	0.678582i	0.0825030	−	0.0254488i
$712$	9.87239	−	9.16024i	0.369984	−	0.343295i
$713$	−7.21281	+	1.08716i	−0.270122	+	0.0407143i
$714$	−2.87472	+	38.3604i	−0.107584	+	1.43560i
$715$	−22.3716	+	10.7736i	−0.836650	+	0.402909i
$716$	−17.0307	−	5.25327i	−0.636466	−	0.196324i
$717$	−30.2119	−	76.9787i	−1.12828	−	2.87482i
$718$	20.5980	−	14.0435i	0.768711	−	0.524098i
$719$	27.8571	+	4.19879i	1.03890	+	0.156588i	0.646269	−	0.763110i	$-0.276328\pi$
$719$	27.8571	+	4.19879i	1.03890	+	0.156588i	0.392627	+	0.919698i	$0.371566\pi$
$720$	1.15889	−	5.07742i	0.0431892	−	0.189224i
$721$	29.8933	+	20.3809i	1.11329	+	0.759025i
$722$	26.9829	+	25.0364i	1.00420	+	0.931760i
$723$	−23.2253	−	11.1847i	−0.863759	−	0.415964i
$724$	1.76505	−	3.05716i	0.0655977	−	0.113619i
$725$	2.61333	+	4.52642i	0.0970567	+	0.168107i
$726$	2.16632	+	28.9076i	0.0803998	+	1.07286i
$727$	−8.88446	−	38.9254i	−0.329506	−	1.44366i	−0.820073	−	0.572258i	$-0.806068\pi$
$727$	−8.88446	−	38.9254i	−0.329506	−	1.44366i	0.490567	−	0.871403i	$-0.336790\pi$
$728$	5.04773	−	12.8614i	0.187081	−	0.476676i
$729$	−25.7836	+	32.3316i	−0.954947	+	1.19747i
$730$	−12.3752			−0.458026
$731$	10.7412	−	32.7147i	0.397278	−	1.21000i
$732$	−14.6322			−0.540821
$733$	−25.9799	+	32.5778i	−0.959589	+	1.20329i	0.0194902	+	0.999810i	$0.493796\pi$
$733$	−25.9799	+	32.5778i	−0.959589	+	1.20329i	−0.979080	+	0.203477i	$0.934776\pi$
$734$	5.03731	−	12.8348i	0.185930	−	0.473743i
$735$	0.294177	+	1.28887i	0.0108509	+	0.0475409i
$736$	−0.0759426	−	1.01338i	−0.00279928	−	0.0373538i
$737$	−30.0307	−	52.0146i	−1.10619	−	1.91598i
$738$	17.9867	−	31.1538i	0.662098	−	1.14679i
$739$	42.6583	+	20.5431i	1.56921	+	0.755691i	0.997883	−	0.0650319i	$-0.0207149\pi$
$739$	42.6583	+	20.5431i	1.56921	+	0.755691i	0.571326	+	0.820723i	$0.306429\pi$
$740$	−2.84655	−	2.64121i	−0.104641	−	0.0970929i
$741$	−95.5505	−	65.1453i	−3.51014	−	2.39317i
$742$	−0.316029	+	1.38461i	−0.0116018	+	0.0508308i
$743$	−13.4634	−	2.02928i	−0.493925	−	0.0744472i	−0.102643	−	0.994718i	$-0.532730\pi$
$743$	−13.4634	−	2.02928i	−0.493925	−	0.0744472i	−0.391282	+	0.920271i	$0.627968\pi$
$744$	16.9909	−	11.5842i	0.622918	−	0.424698i
$745$	−6.23114	−	15.8767i	−0.228291	−	0.581677i
$746$	27.4574	+	8.46949i	1.00529	+	0.310090i
$747$	20.1926	−	9.72423i	0.738808	−	0.355791i
$748$	−1.80329	+	24.0632i	−0.0659348	+	0.879838i
$749$	34.7698	−	5.24071i	1.27046	−	0.191491i
$750$	2.10016	−	1.94867i	0.0766872	−	0.0711553i
$751$	−5.40969	+	1.66867i	−0.197402	+	0.0608906i	−0.391880	−	0.920016i	$-0.628175\pi$
$751$	−5.40969	+	1.66867i	−0.197402	+	0.0608906i	0.194477	+	0.980907i	$0.437699\pi$
$752$	−3.30612	−	4.14574i	−0.120562	−	0.151180i
$753$	−8.07506	−	10.1258i	−0.294271	−	0.369005i
$754$	26.9864	−	8.32421i	0.982788	−	0.303150i
$755$	12.9461	−	12.0122i	0.471158	−	0.437171i
$756$	−15.9949	+	2.41084i	−0.581727	+	0.0876813i
$757$	−3.07578	+	41.0434i	−0.111791	+	1.49175i	0.605985	+	0.795476i	$0.292779\pi$
$757$	−3.07578	+	41.0434i	−0.111791	+	1.49175i	−0.717776	+	0.696274i	$0.754840\pi$
$758$	11.3653	−	5.47325i	0.412807	−	0.198797i
$759$	12.7850	+	3.94366i	0.464068	+	0.143146i
$760$	2.72929	+	6.95413i	0.0990019	+	0.252253i
$761$	18.4883	−	12.6051i	0.670201	−	0.456936i	−0.179809	−	0.983702i	$-0.557548\pi$
$761$	18.4883	−	12.6051i	0.670201	−	0.456936i	0.850010	+	0.526766i	$0.176596\pi$
$762$	−22.4828	−	3.38873i	−0.814464	−	0.122761i
$763$	0.441615	−	1.93484i	0.0159875	−	0.0700459i
$764$	1.40268	+	0.956332i	0.0507472	+	0.0345989i
$765$	20.0468	+	18.6007i	0.724794	+	0.672511i
$766$	−14.0463	−	6.76433i	−0.507513	−	0.244405i
$767$	31.0299	−	53.7454i	1.12042	−	1.94063i
$768$	1.43248	+	2.48113i	0.0516902	+	0.0895300i
$769$	1.36067	+	18.1569i	0.0490670	+	0.654753i	0.966468	+	0.256788i	$0.0826643\pi$
$769$	1.36067	+	18.1569i	0.0490670	+	0.654753i	−0.917401	+	0.397965i	$0.869717\pi$
$770$	−2.61482	−	11.4563i	−0.0942315	−	0.412855i
$771$	15.2970	−	38.9762i	0.550909	−	1.40369i
$772$	10.6695	−	13.3792i	0.384005	−	0.481527i
$773$	7.46171			0.268379			0.134190	−	0.990956i	$-0.457157\pi$
$773$	7.46171			0.268379			0.134190	+	0.990956i	$0.457157\pi$
$774$	34.0041	+	3.16608i	1.22225	+	0.113802i
$775$	7.17783			0.257835
$776$	5.19604	−	6.51563i	0.186527	−	0.233897i
$777$	−10.3930	+	26.4810i	−0.372848	+	0.950001i
$778$	2.84462	+	12.4631i	0.101985	+	0.446824i
$779$	3.85618	+	51.4571i	0.138162	+	1.84364i
$780$	−7.74008	−	13.4062i	−0.277139	−	0.480020i
$781$	−18.4337	+	31.9280i	−0.659608	+	1.14248i
$782$	4.80772	+	2.31528i	0.171924	+	0.0827942i
$783$	−24.2369	−	22.4885i	−0.866155	−	0.803674i
$784$	−0.381263	−	0.259941i	−0.0136166	−	0.00928361i
$785$	3.43600	−	15.0541i	0.122636	−	0.537304i
$786$	39.8477	+	6.00607i	1.42132	+	0.214229i
$787$	−26.7289	+	18.2235i	−0.952784	+	0.649597i	−0.936648	−	0.350273i	$-0.886089\pi$
$787$	−26.7289	+	18.2235i	−0.952784	+	0.649597i	−0.0161360	+	0.999870i	$0.505136\pi$
$788$	−0.541992	−	1.38097i	−0.0193077	−	0.0491951i
$789$	50.5817	+	15.6024i	1.80075	+	0.555459i
$790$	−0.398272	+	0.191798i	−0.0141699	+	0.00682385i
$791$	−0.914642	+	12.2051i	−0.0325209	+	0.433962i
$792$	−23.6659	+	3.56706i	−0.840930	+	0.126750i
$793$	−20.2294	+	18.7701i	−0.718366	+	0.666546i
$794$	−2.80748	+	0.865992i	−0.0996337	+	0.0307329i
$795$	0.992119	+	1.24408i	0.0351868	+	0.0441229i
$796$	5.75356	+	7.21474i	0.203930	+	0.255720i
$797$	24.3863	−	7.52216i	0.863805	−	0.266449i	0.168973	−	0.985621i	$-0.445955\pi$
$797$	24.3863	−	7.52216i	0.863805	−	0.266449i	0.694832	+	0.719172i	$0.255479\pi$
$798$	40.1186	−	37.2246i	1.42018	−	1.31774i
$799$	27.5329	−	4.14991i	0.974042	−	0.146813i
$800$	−0.0747301	+	0.997204i	−0.00264211	+	0.0352565i
$801$	−63.1929	+	30.4321i	−2.23281	+	1.07527i
$802$	8.64688	+	2.66721i	0.305332	+	0.0941824i
$803$	20.7769	+	52.9386i	0.733199	+	1.86816i
$804$	30.9378	−	21.0930i	1.09109	−	0.743894i
$805$	−2.56952	−	0.387294i	−0.0905638	−	0.0136503i
$806$	8.63020	−	37.8114i	0.303986	−	1.33185i
$807$	−3.27023	−	2.22960i	−0.115117	−	0.0784857i
$808$	0.142893	+	0.132585i	0.00502694	+	0.00466432i
$809$	−15.1411	−	7.29155i	−0.532332	−	0.256357i	0.148352	−	0.988935i	$-0.452603\pi$
$809$	−15.1411	−	7.29155i	−0.532332	−	0.256357i	−0.680684	+	0.732577i	$0.738317\pi$
$810$	−1.24962	+	2.16441i	−0.0439073	+	0.0760497i
$811$	−26.9883	−	46.7450i	−0.947686	−	1.64144i	−0.750282	−	0.661118i	$-0.770082\pi$
$811$	−26.9883	−	46.7450i	−0.947686	−	1.64144i	−0.197404	−	0.980322i	$-0.563251\pi$
$812$	0.998760	+	13.3275i	0.0350496	+	0.467704i
$813$	2.06332	+	9.04000i	0.0723638	+	0.317047i
$814$	−6.51947	+	16.6113i	−0.228507	+	0.582227i
$815$	1.53086	−	1.91964i	0.0536238	−	0.0672422i
$816$	−15.0438			−0.526639
$817$	−42.8595	+	23.7245i	−1.49946	+	0.830014i
$818$	−21.7021			−0.758795
$819$	−44.8640	+	56.2577i	−1.56768	+	1.96580i
$820$	−2.52353	+	6.42984i	−0.0881254	+	0.224540i
$821$	−5.78342	−	25.3388i	−0.201843	−	0.884331i	−0.969814	−	0.243847i	$-0.921591\pi$
$821$	−5.78342	−	25.3388i	−0.201843	−	0.884331i	0.767971	−	0.640485i	$-0.221266\pi$
$822$	2.07534	+	27.6935i	0.0723857	+	0.965921i
$823$	10.8357	+	18.7679i	0.377707	+	0.654208i	0.990728	−	0.135858i	$-0.0433792\pi$
$823$	10.8357	+	18.7679i	0.377707	+	0.654208i	−0.613021	+	0.790067i	$0.710046\pi$
$824$	−7.07453	+	12.2535i	−0.246453	+	0.426869i
$825$	−11.8620	−	5.71244i	−0.412982	−	0.198882i
$826$	21.5292	+	19.9762i	0.749098	+	0.695062i
$827$	−13.8437	−	9.43847i	−0.481392	−	0.328208i	0.298191	−	0.954506i	$-0.403617\pi$
$827$	−13.8437	−	9.43847i	−0.481392	−	0.328208i	−0.779583	+	0.626298i	$0.784569\pi$
$828$	−1.17769	+	5.15980i	−0.0409276	+	0.179316i
$829$	−49.2768	−	7.42728i	−1.71145	−	0.257960i	−0.781042	−	0.624478i	$-0.785312\pi$
$829$	−49.2768	−	7.42728i	−1.71145	−	0.257960i	−0.930411	+	0.366518i	$0.880550\pi$
$830$	−3.55563	+	2.42419i	−0.123418	+	0.0841448i
$831$	28.2883	+	72.0774i	0.981310	+	2.50034i
$832$	5.16322	+	1.59264i	0.179003	+	0.0552150i
$833$	2.18308	−	1.05132i	0.0756392	−	0.0364259i
$834$	1.20468	−	16.0754i	0.0417147	−	0.556644i
$835$	−0.890775	+	0.134263i	−0.0308265	+	0.00464635i
$836$	25.1661	−	23.3508i	0.870389	−	0.807603i
$837$	−43.3884	+	13.3836i	−1.49972	+	0.462604i
$838$	19.2745	+	24.1695i	0.665827	+	0.834921i
$839$	−3.93240	−	4.93108i	−0.135762	−	0.170240i	0.709303	−	0.704903i	$-0.249010\pi$
$839$	−3.93240	−	4.93108i	−0.135762	−	0.170240i	−0.845065	+	0.534664i	$0.820438\pi$
$840$	7.00041	−	2.15934i	0.241537	−	0.0745043i
$841$	1.23299	−	1.14404i	0.0425168	−	0.0394498i
$842$	−12.9992	+	1.95931i	−0.447980	+	0.0675222i
$843$	−0.588939	+	7.85885i	−0.0202841	+	0.270673i
$844$	−10.3491	+	4.98385i	−0.356230	+	0.171551i
$845$	−15.4759	−	4.77367i	−0.532386	−	0.164219i
$846$	10.0892	+	25.7070i	0.346875	+	0.883824i
$847$	−21.3774	+	14.5749i	−0.734538	+	0.500799i
$848$	−0.549209	−	0.0827799i	−0.0188599	−	0.00284267i
$849$	4.15977	−	18.2252i	0.142763	−	0.625486i
$850$	−4.33856	−	2.95798i	−0.148811	−	0.101458i
$851$	2.89274	+	2.68407i	0.0991617	+	0.0920086i
$852$	−20.7081	−	9.97249i	−0.709448	−	0.341652i
$853$	−20.8945	+	36.1903i	−0.715414	+	1.23913i	0.247386	+	0.968917i	$0.420428\pi$
$853$	−20.8945	+	36.1903i	−0.715414	+	1.23913i	−0.962800	+	0.270216i	$0.912905\pi$
$854$	−6.52983	−	11.3100i	−0.223446	−	0.387020i
$855$	−2.90749	−	38.7978i	−0.0994341	−	1.32686i
$856$	3.05992	+	13.4064i	0.104586	+	0.458222i
$857$	4.44643	−	11.3293i	0.151887	−	0.387002i	−0.834597	−	0.550862i	$-0.814299\pi$
$857$	4.44643	−	11.3293i	0.151887	−	0.387002i	0.986484	+	0.163860i	$0.0523944\pi$
$858$	−44.3542	+	55.6184i	−1.51423	+	1.89878i
$859$	41.3005			1.40915			0.704577	−	0.709627i	$-0.251137\pi$
$859$	41.3005			1.40915			0.704577	+	0.709627i	$0.251137\pi$
$860$	−6.54688	+	0.371990i	−0.223247	+	0.0126848i
$861$	50.6022			1.72452
$862$	−5.26475	+	6.60178i	−0.179318	+	0.224858i
$863$	9.34856	−	23.8197i	0.318229	−	0.810834i	−0.678837	−	0.734289i	$-0.737516\pi$
$863$	9.34856	−	23.8197i	0.318229	−	0.810834i	0.997066	−	0.0765450i	$-0.0243889\pi$
$864$	−1.40763	−	6.16723i	−0.0478885	−	0.209813i
$865$	1.71379	+	22.8690i	0.0582707	+	0.777569i
$866$	18.4229	+	31.9095i	0.626037	+	1.08433i
$867$	15.1452	−	26.2323i	0.514359	−	0.890895i
$868$	16.5365	+	7.96356i	0.561285	+	0.270301i
$869$	1.48914	+	1.38172i	0.0505155	+	0.0468715i
$870$	12.3723	+	8.43526i	0.419459	+	0.285982i
$871$	15.7142	−	68.8485i	0.532456	−	2.33284i
$872$	0.767456	+	0.115675i	0.0259894	+	0.00391727i
$873$	−35.8608	+	24.4495i	−1.21370	+	0.827489i
$874$	−2.77358	−	7.06696i	−0.0938176	−	0.239043i
$875$	2.44346	+	0.753707i	0.0826039	+	0.0254799i
$876$	−31.9433	+	15.3831i	−1.07926	+	0.519746i
$877$	−2.50761	+	33.4617i	−0.0846758	+	1.12992i	0.779389	+	0.626540i	$0.215530\pi$
$877$	−2.50761	+	33.4617i	−0.0846758	+	1.12992i	−0.864065	+	0.503380i	$0.832089\pi$
$878$	−14.4952	+	2.18480i	−0.489189	+	0.0737334i
$879$	−42.5259	+	39.4583i	−1.43436	+	1.33089i
$880$	4.39131	−	1.35454i	0.148031	−	0.0456615i
$881$	36.0648	+	45.2239i	1.21505	+	1.52363i	0.783306	+	0.621636i	$0.213532\pi$
$881$	36.0648	+	45.2239i	1.21505	+	1.52363i	0.431748	+	0.901994i	$0.357897\pi$
$882$	1.49837	+	1.87890i	0.0504528	+	0.0632658i
$883$	−6.80233	+	2.09824i	−0.228916	+	0.0706114i	−0.407091	−	0.913387i	$-0.633457\pi$
$883$	−6.80233	+	2.09824i	−0.228916	+	0.0706114i	0.178175	+	0.983999i	$0.442981\pi$
$884$	−20.7985	+	19.2982i	−0.699529	+	0.649068i
$885$	32.5382	−	4.90435i	1.09376	−	0.164858i
$886$	−1.54818	+	20.6590i	−0.0520122	+	0.694054i
$887$	−39.9701	+	19.2486i	−1.34207	+	0.646305i	−0.960563	−	0.278063i	$-0.910308\pi$
$887$	−39.9701	+	19.2486i	−1.34207	+	0.646305i	−0.381503	+	0.924368i	$0.624593\pi$
$888$	−10.6308	−	3.27917i	−0.356747	−	0.110042i
$889$	−7.41393	−	18.8904i	−0.248655	−	0.633563i
$890$	11.1274	−	7.58653i	0.372991	−	0.254301i
$891$	11.3569	+	1.71178i	0.380472	+	0.0573469i
$892$	−2.44813	+	10.7260i	−0.0819694	+	0.359132i
$893$	−32.7301	−	22.3150i	−1.09527	−	0.746742i
$894$	−35.8197	−	33.2359i	−1.19799	−	1.11157i
$895$	−16.0575	−	7.73288i	−0.536743	−	0.258482i
$896$	−1.27853	+	2.21448i	−0.0427127	+	0.0739805i
$897$	7.86567	+	13.6237i	0.262627	+	0.454883i
$898$	−0.862484	−	11.5091i	−0.0287815	−	0.384062i
$899$	8.34811	+	36.5755i	0.278425	+	1.21986i
$900$	1.90270	−	4.84799i	0.0634232	−	0.161600i
$901$	1.81838	−	2.28018i	0.0605790	−	0.0759637i
$902$	31.7424			1.05691
$903$	20.0591	+	43.6506i	0.667526	+	1.45260i
$904$	−4.78646			−0.159195
$905$	2.20099	−	2.75995i	0.0731633	−	0.0917439i
$906$	18.4851	−	47.0993i	0.614127	−	1.56477i
$907$	−2.96079	−	12.9721i	−0.0983114	−	0.430730i	0.901687	−	0.432389i	$-0.142329\pi$
$907$	−2.96079	−	12.9721i	−0.0983114	−	0.430730i	−0.999999	+	0.00165846i	$0.999472\pi$
$908$	−1.31762	−	17.5824i	−0.0437267	−	0.583492i
$909$	−0.507593	−	0.879177i	−0.0168358	−	0.0291605i
$910$	6.90825	−	11.9654i	0.229006	−	0.396650i
$911$	−28.3311	−	13.6436i	−0.938652	−	0.452031i	−0.0989585	−	0.995092i	$-0.531551\pi$
$911$	−28.3311	−	13.6436i	−0.938652	−	0.452031i	−0.839694	+	0.543061i	$0.817265\pi$
$912$	15.6894	+	14.5576i	0.519527	+	0.482050i
$913$	16.3398	+	11.1403i	0.540768	+	0.368689i
$914$	−2.02633	+	8.87794i	−0.0670251	+	0.293656i
$915$	−14.4688	−	2.18081i	−0.478322	−	0.0720955i
$916$	7.76056	−	5.29106i	0.256416	−	0.174822i
$917$	13.1402	+	33.4806i	0.433927	+	1.10563i
$918$	31.7410	+	9.79081i	1.04761	+	0.323145i
$919$	−34.0679	+	16.4063i	−1.12380	+	0.541193i	−0.901064	−	0.433687i	$-0.857212\pi$
$919$	−34.0679	+	16.4063i	−1.12380	+	0.541193i	−0.222734	+	0.974879i	$0.571498\pi$
$920$	0.0759426	−	1.01338i	0.00250375	−	0.0334103i
$921$	46.4583	−	7.00247i	1.53085	−	0.230739i
$922$	11.7492	−	10.9017i	0.386940	−	0.359028i
$923$	−41.4221	+	12.7770i	−1.36343	+	0.420561i
$924$	−20.9903	−	26.3210i	−0.690530	−	0.865898i
$925$	−2.42110	−	3.03597i	−0.0796054	−	0.0998220i
$926$	−2.17236	+	0.670084i	−0.0713881	+	0.0220203i
$927$	54.0174	−	50.1208i	1.77416	−	1.64618i
$928$	−5.16829	+	0.778994i	−0.169657	+	0.0255717i
$929$	3.07127	−	40.9832i	0.100765	−	1.34462i	−0.686107	−	0.727501i	$-0.740682\pi$
$929$	3.07127	−	40.9832i	0.100765	−	1.34462i	0.786872	−	0.617116i	$-0.211699\pi$
$930$	18.5277	−	8.92247i	0.607547	−	0.292579i
$931$	−3.29409	−	1.01609i	−0.107959	−	0.0333011i
$932$	−1.01796	−	2.59372i	−0.0333444	−	0.0849602i
$933$	50.6778	−	34.5516i	1.65912	−	1.13117i
$934$	−20.3502	−	3.06730i	−0.665878	−	0.100365i
$935$	−5.36958	+	23.5257i	−0.175604	+	0.769372i
$936$	−23.2506	−	15.8520i	−0.759968	−	0.518138i
$937$	6.66259	+	6.18198i	0.217657	+	0.201957i	0.781464	−	0.623950i	$-0.214473\pi$
$937$	6.66259	+	6.18198i	0.217657	+	0.201957i	−0.563807	+	0.825907i	$0.690664\pi$
$938$	30.1103	+	14.5004i	0.983138	+	0.473454i
$939$	−11.7507	+	20.3529i	−0.383471	+	0.664192i
$940$	−2.65130	−	4.59219i	−0.0864760	−	0.149781i
$941$	1.46826	+	19.5926i	0.0478639	+	0.638699i	0.968618	+	0.248555i	$0.0799558\pi$
$941$	1.46826	+	19.5926i	0.0478639	+	0.638699i	−0.920754	+	0.390144i	$0.872425\pi$
$942$	−9.84400	−	43.1294i	−0.320735	−	1.40523i
$943$	2.56447	−	6.53417i	0.0835107	−	0.212782i
$944$	−7.16115	+	8.97979i	−0.233075	+	0.292267i
$945$	−16.1755			−0.526190
$946$	12.5829	+	27.3817i	0.409107	+	0.890256i
$947$	−19.1810			−0.623299			−0.311649	−	0.950197i	$-0.600881\pi$
$947$	−19.1810			−0.623299			−0.311649	+	0.950197i	$0.600881\pi$
$948$	−0.789619	+	0.990152i	−0.0256456	+	0.0321586i
$949$	−24.4291	+	62.2443i	−0.793001	+	2.02053i
$950$	1.66235	+	7.28324i	0.0539338	+	0.236299i
$951$	1.96774	+	26.2577i	0.0638084	+	0.851464i
$952$	−6.71353	−	11.6282i	−0.217587	−	0.376871i
$953$	12.5252	−	21.6943i	0.405731	−	0.702747i	−0.588675	−	0.808370i	$-0.700350\pi$
$953$	12.5252	−	21.6943i	0.405731	−	0.702747i	0.994406	+	0.105623i	$0.0336836\pi$
$954$	2.60613	+	1.25505i	0.0843766	+	0.0406336i
$955$	1.24448	+	1.15471i	0.0402704	+	0.0373655i
$956$	23.8488	+	16.2598i	0.771326	+	0.525881i
$957$	15.3124	−	67.0881i	0.494980	−	2.16865i
$958$	−41.2644	−	6.21961i	−1.33319	−	0.200947i
$959$	−20.4796	+	13.9627i	−0.661320	+	0.450881i
$960$	1.04669	+	2.66692i	0.0337817	+	0.0860744i
$961$	19.6095	+	6.04872i	0.632564	+	0.195120i
$962$	−18.9039	+	9.10363i	−0.609486	+	0.293513i
$963$	5.35188	−	71.4159i	0.172462	−	2.30134i
$964$	8.89724	−	1.34104i	0.286561	−	0.0431921i
$965$	12.5444	−	11.6395i	0.403819	−	0.374690i
$966$	−7.11399	+	2.19437i	−0.228889	+	0.0706029i
$967$	24.1502	+	30.2834i	0.776619	+	0.973849i	1.00000		0.000882255i	$-0.000280831\pi$
$967$	24.1502	+	30.2834i	0.776619	+	0.973849i	−0.223381	+	0.974731i	$0.571709\pi$
$968$	−6.30868	−	7.91084i	−0.202769	−	0.254264i
$969$	−107.393	+	33.1262i	−3.44995	+	1.06417i
$970$	6.10911	−	5.66843i	0.196152	−	0.182002i
$971$	43.1730	−	6.50729i	1.38549	−	0.208829i	0.586390	−	0.810029i	$-0.300549\pi$
$971$	43.1730	−	6.50729i	1.38549	−	0.208829i	0.799098	+	0.601200i	$0.205311\pi$
$972$	0.883103	−	11.7842i	0.0283255	−	0.377978i
$973$	12.9631	−	6.24270i	0.415578	−	0.200132i
$974$	15.4832	+	4.77595i	0.496115	+	0.153031i
$975$	−5.65554	−	14.4101i	−0.181122	−	0.461492i
$976$	4.21984	−	2.87704i	0.135074	−	0.0920918i
$977$	15.2496	+	2.29850i	0.487877	+	0.0735356i	0.388374	−	0.921502i	$-0.373037\pi$
$977$	15.2496	+	2.29850i	0.487877	+	0.0735356i	0.0995024	+	0.995037i	$0.468275\pi$
$978$	1.56530	−	6.85802i	0.0500527	−	0.219295i
$979$	−51.1356	−	34.8637i	−1.63430	−	1.11425i
$980$	−0.338263	−	0.313862i	−0.0108054	−	0.0100260i
$981$	−3.64177	−	1.75378i	−0.116273	−	0.0559940i
$982$	10.9809	−	19.0194i	0.350413	−	0.606933i
$983$	−19.3545	−	33.5230i	−0.617312	−	1.06922i	−0.989974	−	0.141249i	$-0.954888\pi$
$983$	−19.3545	−	33.5230i	−0.617312	−	1.06922i	0.372662	−	0.927967i	$-0.378445\pi$
$984$	1.47885	+	19.7339i	0.0471440	+	0.629093i
$985$	−0.330115	−	1.44633i	−0.0105183	−	0.0460839i
$986$	10.0268	−	25.5479i	0.319319	−	0.813611i
$987$	−24.2202	+	30.3712i	−0.770938	+	0.966726i
$988$	40.3654			1.28419
$989$	6.65310	−	0.378026i	0.211556	−	0.0120205i
$990$	−23.9332			−0.760647
$991$	26.9076	−	33.7411i	0.854750	−	1.07182i	−0.141888	−	0.989883i	$-0.545317\pi$
$991$	26.9076	−	33.7411i	0.854750	−	1.07182i	0.996637	−	0.0819393i	$-0.0261114\pi$
$992$	−2.62235	+	6.68165i	−0.0832598	+	0.212143i
$993$	−8.11423	−	35.5508i	−0.257497	−	1.12817i
$994$	−1.53302	−	20.4567i	−0.0486245	−	0.648849i
$995$	4.61400	+	7.99168i	0.146274	+	0.253353i
$996$	−6.16453	+	10.6773i	−0.195330	+	0.338322i
$997$	4.45463	+	2.14523i	0.141079	+	0.0679403i	0.503092	−	0.864233i	$-0.332196\pi$
$997$	4.45463	+	2.14523i	0.141079	+	0.0679403i	−0.362012	+	0.932173i	$0.617910\pi$
$998$	15.0901	+	14.0016i	0.477669	+	0.443212i
$999$	20.2958	+	13.8375i	0.642132	+	0.437798i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	430.2.q.d.101.1	✓	60
43.23	even	21	inner	430.2.q.d.281.1	yes	60

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
430.2.q.d.101.1	✓	60	1.1	even	1	trivial
430.2.q.d.281.1	yes	60	43.23	even	21	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 430 = 2 \cdot 5 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	430.q (of order \(21\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.623490 + 0.781831i) q^{2} +(-1.04669 + 2.66692i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(-0.0747301 - 0.997204i) q^{5} +(-1.43248 - 2.48113i) q^{6} +(1.27853 - 2.21448i) q^{7} +(0.900969 + 0.433884i) q^{8} +(-3.81773 - 3.54234i) q^{9} +O(q^{10})\)	\(q+(-0.623490 + 0.781831i) q^{2} +(-1.04669 + 2.66692i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(-0.0747301 - 0.997204i) q^{5} +(-1.43248 - 2.48113i) q^{6} +(1.27853 - 2.21448i) q^{7} +(0.900969 + 0.433884i) q^{8} +(-3.81773 - 3.54234i) q^{9} +(0.826239 + 0.563320i) q^{10} +(1.02259 - 4.48025i) q^{11} +(2.83296 + 0.427000i) q^{12} +(4.46440 - 3.04377i) q^{13} +(0.934199 + 2.38030i) q^{14} +(2.73768 + 0.844462i) q^{15} +(-0.900969 + 0.433884i) q^{16} +(0.392406 - 5.23629i) q^{17} +(5.14983 - 0.776212i) q^{18} +(-5.47629 + 5.08126i) q^{19} +(-0.955573 + 0.294755i) q^{20} +(4.56761 + 5.72760i) q^{21} +(2.86523 + 3.59288i) q^{22} +(0.971077 - 0.299538i) q^{23} +(-2.10016 + 1.94867i) q^{24} +(-0.988831 + 0.149042i) q^{25} +(-0.403787 + 5.38817i) q^{26} +(5.69937 - 2.74467i) q^{27} +(-2.44346 - 0.753707i) q^{28} +(-1.90951 - 4.86536i) q^{29} +(-2.36714 + 1.61389i) q^{30} +(-7.09766 - 1.06980i) q^{31} +(0.222521 - 0.974928i) q^{32} +(10.8781 + 7.41658i) q^{33} +(3.84924 + 3.57157i) q^{34} +(-2.30383 - 1.10947i) q^{35} +(-2.60400 + 4.51026i) q^{36} +(1.94157 + 3.36291i) q^{37} +(-0.558274 - 7.44965i) q^{38} +(3.44466 + 15.0920i) q^{39} +(0.365341 - 0.930874i) q^{40} +(4.30664 - 5.40036i) q^{41} -7.32588 q^{42} +(6.36567 + 1.57426i) q^{43} -4.59547 q^{44} +(-3.24713 + 4.07178i) q^{45} +(-0.371269 + 0.945977i) q^{46} +(1.17994 + 5.16966i) q^{47} +(-0.214099 - 2.85695i) q^{48} +(0.230722 + 0.399623i) q^{49} +(0.500000 - 0.866025i) q^{50} +(13.5540 + 6.52727i) q^{51} +(-3.96088 - 3.67516i) q^{52} +(0.458903 + 0.312875i) q^{53} +(-1.40763 + 6.16723i) q^{54} +(-4.54414 - 0.684919i) q^{55} +(2.11274 - 1.44044i) q^{56} +(-7.81932 - 19.9233i) q^{57} +(4.99446 + 1.54059i) q^{58} +(10.3482 - 4.98341i) q^{59} +(0.214099 - 2.85695i) q^{60} +(-5.05025 + 0.761202i) q^{61} +(5.26172 - 4.88216i) q^{62} +(-12.7255 + 3.92530i) q^{63} +(0.623490 + 0.781831i) q^{64} +(-3.36889 - 4.22445i) q^{65} +(-12.5809 + 3.88070i) q^{66} +(9.58076 - 8.88964i) q^{67} +(-5.19232 + 0.782617i) q^{68} +(-0.217573 + 2.90330i) q^{69} +(2.30383 - 1.10947i) q^{70} +(-7.66612 - 2.36468i) q^{71} +(-1.90270 - 4.84799i) q^{72} +(-10.2249 + 6.97119i) q^{73} +(-3.83978 - 0.578753i) q^{74} +(0.637514 - 2.79313i) q^{75} +(6.17245 + 4.20830i) q^{76} +(-8.61401 - 7.99264i) q^{77} +(-13.9472 - 6.71659i) q^{78} +(-0.221024 + 0.382825i) q^{79} +(0.500000 + 0.866025i) q^{80} +(0.186769 + 2.49226i) q^{81} +(1.53702 + 6.73414i) q^{82} +(-1.57221 + 4.00592i) q^{83} +(4.56761 - 5.72760i) q^{84} -5.25097 q^{85} +(-5.19974 + 3.99534i) q^{86} +14.9742 q^{87} +(2.86523 - 3.59288i) q^{88} +(4.92024 - 12.5366i) q^{89} +(-1.15889 - 5.07742i) q^{90} +(-1.03251 - 13.7779i) q^{91} +(-0.508113 - 0.880077i) q^{92} +(10.2821 - 17.8091i) q^{93} +(-4.77748 - 2.30071i) q^{94} +(5.47629 + 5.08126i) q^{95} +(2.36714 + 1.61389i) q^{96} +(1.85445 - 8.12486i) q^{97} +(-0.456291 - 0.0687748i) q^{98} +(-19.7745 + 13.4820i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 60 q + 10 q^{2} - q^{3} - 10 q^{4} - 5 q^{5} - 6 q^{6} + q^{7} + 10 q^{8} + 8 q^{9}+O(q^{10}) \) 60 * q + 10 * q^2 - q^3 - 10 * q^4 - 5 * q^5 - 6 * q^6 + q^7 + 10 * q^8 + 8 * q^9	\( 60 q + 10 q^{2} - q^{3} - 10 q^{4} - 5 q^{5} - 6 q^{6} + q^{7} + 10 q^{8} + 8 q^{9} + 5 q^{10} + 3 q^{11} - q^{12} + 13 q^{13} - 15 q^{14} + q^{15} - 10 q^{16} + 38 q^{17} + 6 q^{18} + 17 q^{19} - 5 q^{20} + 4 q^{21} + 11 q^{22} - 8 q^{23} + q^{24} + 5 q^{25} + 29 q^{26} - 16 q^{27} - 6 q^{28} - 41 q^{29} - q^{30} + 15 q^{31} + 10 q^{32} + 63 q^{33} - 10 q^{34} + 2 q^{35} - 48 q^{36} + 7 q^{37} + 25 q^{38} - 64 q^{39} + 5 q^{40} - 22 q^{41} - 60 q^{42} + 6 q^{43} - 4 q^{44} + 30 q^{45} - 20 q^{46} - 13 q^{47} - q^{48} - 93 q^{49} + 30 q^{50} + 18 q^{51} - 15 q^{52} + 71 q^{53} - 5 q^{54} - 16 q^{55} - q^{56} - 94 q^{57} - 22 q^{58} + 20 q^{59} + q^{60} + 91 q^{61} + 69 q^{62} - 50 q^{63} - 10 q^{64} + 5 q^{65} + 14 q^{66} - 26 q^{67} - 18 q^{68} - 94 q^{69} - 2 q^{70} + 20 q^{71} - 36 q^{72} - 56 q^{73} - 7 q^{74} + 2 q^{75} + 38 q^{76} + 41 q^{77} - 13 q^{78} - 46 q^{79} + 30 q^{80} + 39 q^{81} + 8 q^{82} - 115 q^{83} + 4 q^{84} + 6 q^{85} + 29 q^{86} + 20 q^{87} + 11 q^{88} + 30 q^{89} - 16 q^{90} - 53 q^{91} - 8 q^{92} + 16 q^{93} + 41 q^{94} - 17 q^{95} + q^{96} + 113 q^{97} + 2 q^{98} + 139 q^{99}+O(q^{100}) \) 60 * q + 10 * q^2 - q^3 - 10 * q^4 - 5 * q^5 - 6 * q^6 + q^7 + 10 * q^8 + 8 * q^9 + 5 * q^10 + 3 * q^11 - q^12 + 13 * q^13 - 15 * q^14 + q^15 - 10 * q^16 + 38 * q^17 + 6 * q^18 + 17 * q^19 - 5 * q^20 + 4 * q^21 + 11 * q^22 - 8 * q^23 + q^24 + 5 * q^25 + 29 * q^26 - 16 * q^27 - 6 * q^28 - 41 * q^29 - q^30 + 15 * q^31 + 10 * q^32 + 63 * q^33 - 10 * q^34 + 2 * q^35 - 48 * q^36 + 7 * q^37 + 25 * q^38 - 64 * q^39 + 5 * q^40 - 22 * q^41 - 60 * q^42 + 6 * q^43 - 4 * q^44 + 30 * q^45 - 20 * q^46 - 13 * q^47 - q^48 - 93 * q^49 + 30 * q^50 + 18 * q^51 - 15 * q^52 + 71 * q^53 - 5 * q^54 - 16 * q^55 - q^56 - 94 * q^57 - 22 * q^58 + 20 * q^59 + q^60 + 91 * q^61 + 69 * q^62 - 50 * q^63 - 10 * q^64 + 5 * q^65 + 14 * q^66 - 26 * q^67 - 18 * q^68 - 94 * q^69 - 2 * q^70 + 20 * q^71 - 36 * q^72 - 56 * q^73 - 7 * q^74 + 2 * q^75 + 38 * q^76 + 41 * q^77 - 13 * q^78 - 46 * q^79 + 30 * q^80 + 39 * q^81 + 8 * q^82 - 115 * q^83 + 4 * q^84 + 6 * q^85 + 29 * q^86 + 20 * q^87 + 11 * q^88 + 30 * q^89 - 16 * q^90 - 53 * q^91 - 8 * q^92 + 16 * q^93 + 41 * q^94 - 17 * q^95 + q^96 + 113 * q^97 + 2 * q^98 + 139 * q^99

Introduction

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