LMFDB - Embedded newform 841.2.d.b.574.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [841,2,Mod(190,841)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(841, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([2]))

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

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

chi := DirichletCharacter("841.190");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 841 = 29^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	841.d (of order $7$, degree $6$, not 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:	$6.71541880999$
Analytic rank:	$0$
Dimension:	$6$
Coefficient field:	$\Q(\zeta_{14})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 $ x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	no (minimal twist has level 29)
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			574.1
Root			$0.222521 + 0.974928i$ of defining polynomial
Character	$\chi$	$=$	841.574
Dual form			841.2.d.b.778.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.277479 + 0.347948i) q^{2} +(0.277479 - 1.21572i) q^{3} +(0.400969 + 1.75676i) q^{4} +(0.431468 - 0.541044i) q^{5} +(0.346011 + 0.433884i) q^{6} +(-0.0794168 + 0.347948i) q^{7} +(-1.52446 - 0.734141i) q^{8} +(1.30194 + 0.626980i) q^{9} +O(q^{10})$	\(q+(-0.277479 + 0.347948i) q^{2} +(0.277479 - 1.21572i) q^{3} +(0.400969 + 1.75676i) q^{4} +(0.431468 - 0.541044i) q^{5} +(0.346011 + 0.433884i) q^{6} +(-0.0794168 + 0.347948i) q^{7} +(-1.52446 - 0.734141i) q^{8} +(1.30194 + 0.626980i) q^{9} +(0.0685317 + 0.300257i) q^{10} +(-4.44989 + 2.14295i) q^{11} +2.24698 q^{12} +(5.09299 - 2.45265i) q^{13} +(-0.0990311 - 0.124181i) q^{14} +(-0.538032 - 0.674671i) q^{15} +(-2.56853 + 1.23694i) q^{16} +4.49396 q^{17} +(-0.579417 + 0.279032i) q^{18} +(0.524459 + 2.29780i) q^{19} +(1.12349 + 0.541044i) q^{20} +(0.400969 + 0.193096i) q^{21} +(0.489115 - 2.14295i) q^{22} +(1.43147 + 1.79500i) q^{23} +(-1.31551 + 1.64960i) q^{24} +(1.00604 + 4.40775i) q^{25} +(-0.559802 + 2.45265i) q^{26} +(3.45593 - 4.33360i) q^{27} -0.643104 q^{28} +0.384043 q^{30} +(-4.17241 + 5.23203i) q^{31} +(1.03534 - 4.53614i) q^{32} +(1.37047 + 6.00442i) q^{33} +(-1.24698 + 1.56366i) q^{34} +(0.153989 + 0.193096i) q^{35} +(-0.579417 + 2.53859i) q^{36} +(4.44989 + 2.14295i) q^{37} +(-0.945042 - 0.455108i) q^{38} +(-1.56853 - 6.87219i) q^{39} +(-1.05496 + 0.508041i) q^{40} +3.10992 q^{41} +(-0.178448 + 0.0859360i) q^{42} +(-2.12349 - 2.66277i) q^{43} +(-5.54892 - 6.95812i) q^{44} +(0.900969 - 0.433884i) q^{45} -1.02177 q^{46} +(5.80678 - 2.79640i) q^{47} +(0.791053 + 3.46583i) q^{48} +(6.19202 + 2.98192i) q^{49} +(-1.81282 - 0.873009i) q^{50} +(1.24698 - 5.46337i) q^{51} +(6.35086 + 7.96372i) q^{52} +(-2.92543 + 3.66837i) q^{53} +(0.548917 + 2.40496i) q^{54} +(-0.760553 + 3.33220i) q^{55} +(0.376510 - 0.472129i) q^{56} +2.93900 q^{57} -12.4940 q^{59} +(0.969501 - 1.21572i) q^{60} +(0.365625 - 1.60191i) q^{61} +(-0.662718 - 2.90356i) q^{62} +(-0.321552 + 0.403214i) q^{63} +(-2.26391 - 2.83885i) q^{64} +(0.870469 - 3.81378i) q^{65} +(-2.46950 - 1.18925i) q^{66} +(2.09299 + 1.00793i) q^{67} +(1.80194 + 7.89481i) q^{68} +(2.57942 - 1.24218i) q^{69} -0.109916 q^{70} +(6.60872 - 3.18259i) q^{71} +(-1.52446 - 1.91161i) q^{72} +(3.50753 + 4.39831i) q^{73} +(-1.98039 + 0.953703i) q^{74} +5.63773 q^{75} +(-3.82640 + 1.84270i) q^{76} +(-0.392240 - 1.71851i) q^{77} +(2.82640 + 1.36112i) q^{78} +(4.20291 + 2.02401i) q^{79} +(-0.439001 + 1.92339i) q^{80} +(-1.60656 - 2.01457i) q^{81} +(-0.862937 + 1.08209i) q^{82} +(-0.991271 - 4.34304i) q^{83} +(-0.178448 + 0.781831i) q^{84} +(1.93900 - 2.43143i) q^{85} +1.51573 q^{86} +8.35690 q^{88} +(-3.54138 + 4.44076i) q^{89} +(-0.0990311 + 0.433884i) q^{90} +(0.448927 + 1.96688i) q^{91} +(-2.57942 + 3.23449i) q^{92} +(5.20291 + 6.52424i) q^{93} +(-0.638260 + 2.79640i) q^{94} +(1.46950 + 0.707674i) q^{95} +(-5.22737 - 2.51737i) q^{96} +(0.0401881 + 0.176076i) q^{97} +(-2.75571 + 1.32708i) q^{98} -7.13706 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 6 q - 2 q^{2} + 2 q^{3} - 2 q^{4} + 8 q^{5} - 3 q^{6} + 8 q^{7} - q^{9}+O(q^{10}) $ 6 * q - 2 * q^2 + 2 * q^3 - 2 * q^4 + 8 * q^5 - 3 * q^6 + 8 * q^7 - q^9	\( 6 q - 2 q^{2} + 2 q^{3} - 2 q^{4} + 8 q^{5} - 3 q^{6} + 8 q^{7} - q^{9} - 5 q^{10} - 4 q^{11} + 4 q^{12} + 16 q^{13} - 5 q^{14} + 12 q^{15} - 10 q^{16} + 8 q^{17} + 5 q^{18} - 6 q^{19} + 2 q^{20} - 2 q^{21} + 6 q^{22} + 14 q^{23} + 7 q^{24} + 25 q^{25} + 18 q^{26} + 17 q^{27} - 12 q^{28} - 18 q^{30} - 2 q^{31} - 6 q^{32} - 6 q^{33} + 2 q^{34} + 6 q^{35} + 5 q^{36} + 4 q^{37} - 5 q^{38} - 4 q^{39} - 7 q^{40} + 20 q^{41} + 3 q^{42} - 8 q^{43} - 15 q^{44} + q^{45} + 4 q^{47} - q^{48} + 27 q^{49} + q^{50} - 2 q^{51} + 11 q^{52} - 4 q^{53} - 15 q^{54} + 11 q^{55} + 7 q^{56} - 2 q^{57} - 56 q^{59} - 4 q^{60} + 10 q^{61} - 25 q^{62} - 6 q^{63} - 20 q^{64} - 9 q^{65} - 5 q^{66} - 2 q^{67} + 2 q^{68} + 7 q^{69} - 2 q^{70} - 4 q^{73} + q^{74} + 48 q^{75} - 5 q^{76} + 18 q^{77} - q^{78} + 12 q^{79} + 17 q^{80} + 11 q^{81} - 16 q^{82} + 10 q^{83} + 3 q^{84} - 8 q^{85} - 16 q^{86} + 42 q^{88} - 28 q^{89} - 5 q^{90} + 40 q^{91} - 7 q^{92} + 18 q^{93} - 34 q^{94} - q^{95} - 9 q^{96} - 34 q^{97} - 23 q^{98} - 32 q^{99}+O(q^{100}) \) 6 * q - 2 * q^2 + 2 * q^3 - 2 * q^4 + 8 * q^5 - 3 * q^6 + 8 * q^7 - q^9 - 5 * q^10 - 4 * q^11 + 4 * q^12 + 16 * q^13 - 5 * q^14 + 12 * q^15 - 10 * q^16 + 8 * q^17 + 5 * q^18 - 6 * q^19 + 2 * q^20 - 2 * q^21 + 6 * q^22 + 14 * q^23 + 7 * q^24 + 25 * q^25 + 18 * q^26 + 17 * q^27 - 12 * q^28 - 18 * q^30 - 2 * q^31 - 6 * q^32 - 6 * q^33 + 2 * q^34 + 6 * q^35 + 5 * q^36 + 4 * q^37 - 5 * q^38 - 4 * q^39 - 7 * q^40 + 20 * q^41 + 3 * q^42 - 8 * q^43 - 15 * q^44 + q^45 + 4 * q^47 - q^48 + 27 * q^49 + q^50 - 2 * q^51 + 11 * q^52 - 4 * q^53 - 15 * q^54 + 11 * q^55 + 7 * q^56 - 2 * q^57 - 56 * q^59 - 4 * q^60 + 10 * q^61 - 25 * q^62 - 6 * q^63 - 20 * q^64 - 9 * q^65 - 5 * q^66 - 2 * q^67 + 2 * q^68 + 7 * q^69 - 2 * q^70 - 4 * q^73 + q^74 + 48 * q^75 - 5 * q^76 + 18 * q^77 - q^78 + 12 * q^79 + 17 * q^80 + 11 * q^81 - 16 * q^82 + 10 * q^83 + 3 * q^84 - 8 * q^85 - 16 * q^86 + 42 * q^88 - 28 * q^89 - 5 * q^90 + 40 * q^91 - 7 * q^92 + 18 * q^93 - 34 * q^94 - q^95 - 9 * q^96 - 34 * q^97 - 23 * q^98 - 32 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/841\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{5}{7}\right)$

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 $

$2$	−0.277479	+	0.347948i	−0.196207	+	0.246036i	−0.870196	−	0.492705i	$-0.836008\pi$
$2$	−0.277479	+	0.347948i	−0.196207	+	0.246036i	0.673989	+	0.738741i	$0.264580\pi$
$3$	0.277479	−	1.21572i	0.160203	−	0.701894i	−0.829470	−	0.558551i	$-0.811358\pi$
$3$	0.277479	−	1.21572i	0.160203	−	0.701894i	0.989673	−	0.143343i	$-0.0457852\pi$
$4$	0.400969	+	1.75676i	0.200484	+	0.878380i
$5$	0.431468	−	0.541044i	0.192959	−	0.241962i	−0.675935	−	0.736961i	$-0.736260\pi$
$5$	0.431468	−	0.541044i	0.192959	−	0.241962i	0.868894	+	0.494999i	$0.164832\pi$
$6$	0.346011	+	0.433884i	0.141258	+	0.177132i
$7$	−0.0794168	+	0.347948i	−0.0300167	+	0.131512i	−0.987716	−	0.156258i	$-0.950057\pi$
$7$	−0.0794168	+	0.347948i	−0.0300167	+	0.131512i	0.957699	+	0.287770i	$0.0929139\pi$
$8$	−1.52446	−	0.734141i	−0.538978	−	0.259558i
$9$	1.30194	+	0.626980i	0.433979	+	0.208993i
$10$	0.0685317	+	0.300257i	0.0216716	+	0.0949496i
$11$	−4.44989	+	2.14295i	−1.34169	+	0.646124i	−0.960476	−	0.278362i	$-0.910209\pi$
$11$	−4.44989	+	2.14295i	−1.34169	+	0.646124i	−0.381215	+	0.924486i	$0.624494\pi$
$12$	2.24698			0.648647
$13$	5.09299	−	2.45265i	1.41254	−	0.680244i	0.436879	−	0.899520i	$-0.356084\pi$
$13$	5.09299	−	2.45265i	1.41254	−	0.680244i	0.975663	+	0.219276i	$0.0703696\pi$
$14$	−0.0990311	−	0.124181i	−0.0264672	−	0.0331888i
$15$	−0.538032	−	0.674671i	−0.138919	−	0.174199i
$16$	−2.56853	+	1.23694i	−0.642133	+	0.309235i
$17$	4.49396			1.08995			0.544973	−	0.838454i	$-0.316540\pi$
$17$	4.49396			1.08995			0.544973	+	0.838454i	$0.316540\pi$
$18$	−0.579417	+	0.279032i	−0.136570	+	0.0657686i
$19$	0.524459	+	2.29780i	0.120319	+	0.527152i	0.998782	+	0.0493417i	$0.0157123\pi$
$19$	0.524459	+	2.29780i	0.120319	+	0.527152i	−0.878463	+	0.477811i	$0.841431\pi$
$20$	1.12349	+	0.541044i	0.251220	+	0.120981i
$21$	0.400969	+	0.193096i	0.0874986	+	0.0421371i
$22$	0.489115	−	2.14295i	0.104280	−	0.456879i
$23$	1.43147	+	1.79500i	0.298482	+	0.374284i	0.908344	−	0.418223i	$-0.137347\pi$
$23$	1.43147	+	1.79500i	0.298482	+	0.374284i	−0.609863	+	0.792507i	$0.708775\pi$
$24$	−1.31551	+	1.64960i	−0.268528	+	0.336723i
$25$	1.00604	+	4.40775i	0.201208	+	0.881551i
$26$	−0.559802	+	2.45265i	−0.109786	+	0.481005i
$27$	3.45593	−	4.33360i	0.665093	−	0.834001i
$28$	−0.643104			−0.121535
$29$		0			0
$29$		0			0
$30$	0.384043			0.0701163
$31$	−4.17241	+	5.23203i	−0.749386	+	0.939701i	−0.999594	−	0.0284913i	$-0.990930\pi$
$31$	−4.17241	+	5.23203i	−0.749386	+	0.939701i	0.250208	+	0.968192i	$0.419501\pi$
$32$	1.03534	−	4.53614i	0.183025	−	0.801883i
$33$	1.37047	+	6.00442i	0.238568	+	1.04524i
$34$	−1.24698	+	1.56366i	−0.213855	+	0.268166i
$35$	0.153989	+	0.193096i	0.0260289	+	0.0326393i
$36$	−0.579417	+	2.53859i	−0.0965695	+	0.423098i
$37$	4.44989	+	2.14295i	0.731557	+	0.352299i	0.762296	−	0.647228i	$-0.224072\pi$
$37$	4.44989	+	2.14295i	0.731557	+	0.352299i	−0.0307395	+	0.999527i	$0.509786\pi$
$38$	−0.945042	−	0.455108i	−0.153306	−	0.0738283i
$39$	−1.56853	−	6.87219i	−0.251166	−	1.10043i
$40$	−1.05496	+	0.508041i	−0.166804	+	0.0803283i
$41$	3.10992			0.485687			0.242844	−	0.970065i	$-0.421920\pi$
$41$	3.10992			0.485687			0.242844	+	0.970065i	$0.421920\pi$
$42$	−0.178448	+	0.0859360i	−0.0275351	+	0.0132602i
$43$	−2.12349	−	2.66277i	−0.323829	−	0.406069i	0.593094	−	0.805133i	$-0.297906\pi$
$43$	−2.12349	−	2.66277i	−0.323829	−	0.406069i	−0.916923	+	0.399065i	$0.869335\pi$
$44$	−5.54892	−	6.95812i	−0.836531	−	1.04898i
$45$	0.900969	−	0.433884i	0.134309	−	0.0646796i
$46$	−1.02177			−0.150652
$47$	5.80678	−	2.79640i	0.847006	−	0.407897i	0.0405407	−	0.999178i	$-0.487092\pi$
$47$	5.80678	−	2.79640i	0.847006	−	0.407897i	0.806465	+	0.591281i	$0.201378\pi$
$48$	0.791053	+	3.46583i	0.114179	+	0.500249i
$49$	6.19202	+	2.98192i	0.884574	+	0.425989i
$50$	−1.81282	−	0.873009i	−0.256372	−	0.123462i
$51$	1.24698	−	5.46337i	0.174612	−	0.765025i
$52$	6.35086	+	7.96372i	0.880705	+	1.10437i
$53$	−2.92543	+	3.66837i	−0.401838	+	0.503889i	−0.941044	−	0.338285i	$-0.890153\pi$
$53$	−2.92543	+	3.66837i	−0.401838	+	0.503889i	0.539205	+	0.842174i	$0.318725\pi$
$54$	0.548917	+	2.40496i	0.0746982	+	0.327274i
$55$	−0.760553	+	3.33220i	−0.102553	+	0.449314i
$56$	0.376510	−	0.472129i	0.0503133	−	0.0630909i
$57$	2.93900			0.389280
$58$		0			0
$59$	−12.4940			−1.62657			−0.813287	−	0.581862i	$-0.802324\pi$
$59$	−12.4940			−1.62657			−0.813287	+	0.581862i	$0.802324\pi$
$60$	0.969501	−	1.21572i	0.125162	−	0.156948i
$61$	0.365625	−	1.60191i	0.0468135	−	0.205103i	−0.946113	−	0.323838i	$-0.895027\pi$
$61$	0.365625	−	1.60191i	0.0468135	−	0.205103i	0.992926	+	0.118735i	$0.0378838\pi$
$62$	−0.662718	−	2.90356i	−0.0841653	−	0.368752i
$63$	−0.321552	+	0.403214i	−0.0405118	+	0.0508001i
$64$	−2.26391	−	2.83885i	−0.282988	−	0.354856i
$65$	0.870469	−	3.81378i	0.107968	−	0.473041i
$66$	−2.46950	−	1.18925i	−0.303975	−	0.146386i
$67$	2.09299	+	1.00793i	0.255699	+	0.123138i	0.557343	−	0.830282i	$-0.311821\pi$
$67$	2.09299	+	1.00793i	0.255699	+	0.123138i	−0.301643	+	0.953421i	$0.597535\pi$
$68$	1.80194	+	7.89481i	0.218517	+	0.957386i
$69$	2.57942	−	1.24218i	0.310525	−	0.149541i
$70$	−0.109916			−0.0131375
$71$	6.60872	−	3.18259i	0.784311	−	0.377704i	0.00152768	−	0.999999i	$-0.499514\pi$
$71$	6.60872	−	3.18259i	0.784311	−	0.377704i	0.782783	+	0.622295i	$0.213799\pi$
$72$	−1.52446	−	1.91161i	−0.179659	−	0.225285i
$73$	3.50753	+	4.39831i	0.410526	+	0.514783i	0.943511	−	0.331342i	$-0.107501\pi$
$73$	3.50753	+	4.39831i	0.410526	+	0.514783i	−0.532985	+	0.846125i	$0.678930\pi$
$74$	−1.98039	+	0.953703i	−0.230215	+	0.110866i
$75$	5.63773			0.650989
$76$	−3.82640	+	1.84270i	−0.438918	+	0.211372i
$77$	−0.392240	−	1.71851i	−0.0446999	−	0.195843i
$78$	2.82640	+	1.36112i	0.320026	+	0.154117i
$79$	4.20291	+	2.02401i	0.472864	+	0.227719i	0.655110	−	0.755534i	$-0.272622\pi$
$79$	4.20291	+	2.02401i	0.472864	+	0.227719i	−0.182246	+	0.983253i	$0.558337\pi$
$80$	−0.439001	+	1.92339i	−0.0490818	+	0.215041i
$81$	−1.60656	−	2.01457i	−0.178507	−	0.223841i
$82$	−0.862937	+	1.08209i	−0.0952954	+	0.119497i
$83$	−0.991271	−	4.34304i	−0.108806	−	0.476711i	−0.999745	−	0.0225872i	$-0.992810\pi$
$83$	−0.991271	−	4.34304i	−0.108806	−	0.476711i	0.890939	−	0.454123i	$-0.150047\pi$
$84$	−0.178448	+	0.781831i	−0.0194703	+	0.0853048i
$85$	1.93900	−	2.43143i	0.210314	−	0.263726i
$86$	1.51573			0.163445
$87$		0			0
$88$	8.35690			0.890848
$89$	−3.54138	+	4.44076i	−0.375386	+	0.470719i	−0.933257	−	0.359208i	$-0.883047\pi$
$89$	−3.54138	+	4.44076i	−0.375386	+	0.470719i	0.557871	+	0.829927i	$0.311618\pi$
$90$	−0.0990311	+	0.433884i	−0.0104388	+	0.0457354i
$91$	0.448927	+	1.96688i	0.0470603	+	0.206185i
$92$	−2.57942	+	3.23449i	−0.268923	+	0.337219i
$93$	5.20291	+	6.52424i	0.539516	+	0.676532i
$94$	−0.638260	+	2.79640i	−0.0658315	+	0.288427i
$95$	1.46950	+	0.707674i	0.150768	+	0.0726058i
$96$	−5.22737	−	2.51737i	−0.533516	−	0.256928i
$97$	0.0401881	+	0.176076i	0.00408049	+	0.0178778i	0.976927	−	0.213573i	$-0.0685100\pi$
$97$	0.0401881	+	0.176076i	0.00408049	+	0.0178778i	−0.972847	+	0.231450i	$0.925653\pi$
$98$	−2.75571	+	1.32708i	−0.278369	+	0.134055i
$99$	−7.13706			−0.717302
$100$	−7.33997	+	3.53474i	−0.733997	+	0.353474i
$101$	2.01357	+	2.52494i	0.200358	+	0.251241i	0.871853	−	0.489769i	$-0.162919\pi$
$101$	2.01357	+	2.52494i	0.200358	+	0.251241i	−0.671494	+	0.741010i	$0.734347\pi$
$102$	1.55496	+	1.94986i	0.153964	+	0.193064i
$103$	12.3007	−	5.92372i	1.21203	−	0.583682i	0.284947	−	0.958543i	$-0.408024\pi$
$103$	12.3007	−	5.92372i	1.21203	−	0.583682i	0.927081	+	0.374861i	$0.122310\pi$
$104$	−9.56465			−0.937891
$105$	0.277479	−	0.133627i	0.0270792	−	0.0130406i
$106$	−0.464656	−	2.03579i	−0.0451314	−	0.197734i
$107$	−14.6359	−	7.04826i	−1.41490	−	0.681381i	−0.438779	−	0.898595i	$-0.644589\pi$
$107$	−14.6359	−	7.04826i	−1.41490	−	0.681381i	−0.976124	+	0.217214i	$0.930303\pi$
$108$	8.99880	+	4.33360i	0.865910	+	0.417000i
$109$	−1.21648	+	5.32975i	−0.116518	+	0.510497i	0.882662	+	0.470008i	$0.155749\pi$
$109$	−1.21648	+	5.32975i	−0.116518	+	0.510497i	−0.999180	+	0.0404895i	$0.987108\pi$
$110$	−0.948394	−	1.18925i	−0.0904258	−	0.113390i
$111$	3.83997	−	4.81517i	0.364474	−	0.457036i
$112$	−0.226406	−	0.991949i	−0.0213933	−	0.0937303i
$113$	2.37531	−	10.4069i	0.223451	−	0.979002i	−0.731408	−	0.681940i	$-0.761136\pi$
$113$	2.37531	−	10.4069i	0.223451	−	0.979002i	0.954858	−	0.297061i	$-0.0960065\pi$
$114$	−0.815511	+	1.02262i	−0.0763796	+	0.0957770i
$115$	1.58881			0.148157
$116$		0			0
$117$	8.16852			0.755180
$118$	3.46681	−	4.34724i	0.319146	−	0.400196i
$119$	−0.356896	+	1.56366i	−0.0327166	+	0.143341i
$120$	0.324904	+	1.42350i	0.0296596	+	0.129947i
$121$	8.35086	−	10.4716i	0.759169	−	0.951967i
$122$	0.455927	+	0.571714i	0.0412777	+	0.0517606i
$123$	0.862937	−	3.78077i	0.0778084	−	0.340901i
$124$	−10.8644	−	5.23203i	−0.975654	−	0.469850i
$125$	5.93631	+	2.85878i	0.530960	+	0.255697i
$126$	−0.0510733	−	0.223767i	−0.00454997	−	0.0199347i
$127$	0.934157	−	0.449866i	0.0828930	−	0.0399192i	−0.391978	−	0.919975i	$-0.628209\pi$
$127$	0.934157	−	0.449866i	0.0828930	−	0.0399192i	0.474871	+	0.880055i	$0.342495\pi$
$128$	10.9215			0.965337
$129$	−3.82640	+	1.84270i	−0.336895	+	0.162240i
$130$	1.08546	+	1.36112i	0.0952009	+	0.119378i
$131$	5.00149	+	6.27167i	0.436982	+	0.547959i	0.950745	−	0.309974i	$-0.100320\pi$
$131$	5.00149	+	6.27167i	0.436982	+	0.547959i	−0.513763	+	0.857932i	$0.671749\pi$
$132$	−9.99880	+	4.81517i	−0.870284	+	0.419107i
$133$	−0.841166			−0.0729384
$134$	−0.931468	+	0.448572i	−0.0804666	+	0.0387507i
$135$	−0.853543	−	3.73962i	−0.0734613	−	0.321855i
$136$	−6.85086	−	3.29920i	−0.587456	−	0.282904i
$137$	−15.5260	−	7.47690i	−1.32647	−	0.638795i	−0.369569	−	0.929203i	$-0.620495\pi$
$137$	−15.5260	−	7.47690i	−1.32647	−	0.638795i	−0.956903	+	0.290408i	$0.906209\pi$
$138$	−0.283520	+	1.24218i	−0.0241348	+	0.105742i
$139$	−10.3922	−	13.0315i	−0.881458	−	1.10531i	−0.993749	−	0.111638i	$-0.964390\pi$
$139$	−10.3922	−	13.0315i	−0.881458	−	1.10531i	0.112291	−	0.993675i	$-0.464181\pi$
$140$	−0.277479	+	0.347948i	−0.0234513	+	0.0294070i
$141$	−1.78836	−	7.83534i	−0.150607	−	0.659854i
$142$	−0.726406	+	3.18259i	−0.0609586	+	0.267077i
$143$	−17.4073	+	21.8281i	−1.45567	+	1.82535i
$144$	−4.11960			−0.343300
$145$		0			0
$146$	−2.50365			−0.207203
$147$	5.34332	−	6.70031i	0.440710	−	0.552633i
$148$	−1.98039	+	8.67664i	−0.162787	+	0.713215i
$149$	−4.14042	−	18.1403i	−0.339196	−	1.48612i	−0.800748	−	0.599002i	$-0.795564\pi$
$149$	−4.14042	−	18.1403i	−0.339196	−	1.48612i	0.461552	−	0.887113i	$-0.347293\pi$
$150$	−1.56435	+	1.96163i	−0.127729	+	0.160167i
$151$	−4.69351	−	5.88548i	−0.381953	−	0.478954i	0.553276	−	0.832998i	$-0.313378\pi$
$151$	−4.69351	−	5.88548i	−0.381953	−	0.478954i	−0.935229	+	0.354045i	$0.884806\pi$
$152$	0.887395	−	3.88793i	0.0719773	−	0.315353i
$153$	5.85086	+	2.81762i	0.473014	+	0.227791i
$154$	0.706791	+	0.340373i	0.0569549	+	0.0274280i
$155$	1.03050	+	4.51491i	0.0827717	+	0.362647i
$156$	11.4438	−	5.51107i	0.916241	−	0.441238i
$157$	−18.2392			−1.45565			−0.727824	−	0.685764i	$-0.759468\pi$
$157$	−18.2392			−1.45565			−0.727824	+	0.685764i	$0.759468\pi$
$158$	−1.87047	+	0.900771i	−0.148807	+	0.0716615i
$159$	3.64795	+	4.57438i	0.289301	+	0.362772i
$160$	−2.00753	−	2.51737i	−0.158709	−	0.199015i
$161$	−0.738250	+	0.355523i	−0.0581823	+	0.0280191i
$162$	1.14675			0.0900973
$163$	−11.3889	+	5.48460i	−0.892046	+	0.429587i	−0.823010	−	0.568027i	$-0.807707\pi$
$163$	−11.3889	+	5.48460i	−0.892046	+	0.429587i	−0.0690367	+	0.997614i	$0.521993\pi$
$164$	1.24698	+	5.46337i	0.0973727	+	0.426618i
$165$	3.83997	+	1.84923i	0.298941	+	0.143963i
$166$	1.78621	+	0.860193i	0.138637	+	0.0667639i
$167$	0.177251	−	0.776589i	0.0137161	−	0.0600943i	−0.967607	−	0.252462i	$-0.918760\pi$
$167$	0.177251	−	0.776589i	0.0137161	−	0.0600943i	0.981323	+	0.192368i	$0.0616167\pi$
$168$	−0.469501	−	0.588735i	−0.0362228	−	0.0454219i
$169$	11.8177	−	14.8189i	0.909051	−	1.13991i
$170$	0.307979	+	1.34934i	0.0236209	+	0.103490i
$171$	−0.757865	+	3.32042i	−0.0579554	+	0.253919i
$172$	3.82640	−	4.79815i	0.291760	−	0.365855i
$173$	−9.15346			−0.695924			−0.347962	−	0.937509i	$-0.613126\pi$
$173$	−9.15346			−0.695924			−0.347962	+	0.937509i	$0.613126\pi$
$174$		0			0
$175$	−1.61356			−0.121974
$176$	8.77897	−	11.0085i	0.661740	−	0.829796i
$177$	−3.46681	+	15.1891i	−0.260582	+	1.14168i
$178$	−0.562491	−	2.46443i	−0.0421605	−	0.184717i
$179$	2.12349	−	2.66277i	0.158717	−	0.199025i	−0.696114	−	0.717931i	$-0.745089\pi$
$179$	2.12349	−	2.66277i	0.158717	−	0.199025i	0.854831	+	0.518906i	$0.173661\pi$
$180$	1.12349	+	1.40881i	0.0837400	+	0.105007i
$181$	−2.82036	+	12.3568i	−0.209635	+	0.918473i	0.755174	+	0.655524i	$0.227552\pi$
$181$	−2.82036	+	12.3568i	−0.209635	+	0.918473i	−0.964810	+	0.262949i	$0.915305\pi$
$182$	−0.808938	−	0.389564i	−0.0599625	−	0.0288764i
$183$	−1.84601	−	0.888992i	−0.136461	−	0.0657162i
$184$	−0.864429	−	3.78731i	−0.0637265	−	0.279204i
$185$	3.07942	−	1.48297i	0.226403	−	0.109030i
$186$	−3.71379			−0.272308
$187$	−19.9976	+	9.63034i	−1.46237	+	0.704240i
$188$	7.24094	+	9.07985i	0.528100	+	0.662216i
$189$	1.23341	+	1.54664i	0.0897171	+	0.112502i
$190$	−0.653989	+	0.314945i	−0.0474454	+	0.0228485i
$191$	−10.6703			−0.772072			−0.386036	−	0.922484i	$-0.626156\pi$
$191$	−10.6703			−0.772072			−0.386036	+	0.922484i	$0.626156\pi$
$192$	−4.07942	+	1.96454i	−0.294407	+	0.141779i
$193$	−5.05765	−	22.1590i	−0.364057	−	1.59504i	−0.742784	−	0.669531i	$-0.766495\pi$
$193$	−5.05765	−	22.1590i	−0.364057	−	1.59504i	0.378727	−	0.925509i	$-0.376362\pi$
$194$	−0.0724165	−	0.0348740i	−0.00519920	−	0.00250380i
$195$	−4.39493	−	2.11649i	−0.314727	−	0.151565i
$196$	−2.75571	+	12.0735i	−0.196836	+	0.862396i
$197$	−12.1942	−	15.2910i	−0.868799	−	1.08944i	−0.995239	−	0.0974654i	$-0.968926\pi$
$197$	−12.1942	−	15.2910i	−0.868799	−	1.08944i	0.126440	−	0.991974i	$-0.459645\pi$
$198$	1.98039	−	2.48333i	0.140740	−	0.176482i
$199$	0.194710	+	0.853080i	0.0138026	+	0.0604732i	0.981360	−	0.192177i	$-0.0615549\pi$
$199$	0.194710	+	0.853080i	0.0138026	+	0.0604732i	−0.967558	+	0.252650i	$0.918698\pi$
$200$	1.70224	−	7.45801i	0.120367	−	0.527361i
$201$	1.80612	−	2.26480i	0.127394	−	0.159747i
$202$	−1.43727			−0.101126
$203$		0			0
$204$	10.0978			0.706990
$205$	1.34183	−	1.68260i	0.0937175	−	0.117518i
$206$	−1.35205	+	5.92372i	−0.0942019	+	0.412725i
$207$	0.738250	+	3.23449i	0.0513120	+	0.224812i
$208$	−10.0477	+	12.5994i	−0.696684	+	0.873614i
$209$	−7.25786	−	9.10107i	−0.502037	−	0.629534i
$210$	−0.0304995	+	0.133627i	−0.00210466	+	0.00922113i
$211$	16.4596	+	7.92651i	1.13312	+	0.545684i	0.903923	−	0.427695i	$-0.140674\pi$
$211$	16.4596	+	7.92651i	1.13312	+	0.545684i	0.229201	+	0.973379i	$0.426389\pi$
$212$	−7.61745	−	3.66837i	−0.523169	−	0.251945i
$213$	−2.03534	−	8.91742i	−0.139459	−	0.611012i
$214$	6.51357	−	3.13677i	0.445259	−	0.214425i
$215$	−2.35690			−0.160739
$216$	−8.44989	+	4.06925i	−0.574942	+	0.276877i
$217$	−1.48911	−	1.86729i	−0.101088	−	0.126760i
$218$	−1.51693	−	1.90216i	−0.102739	−	0.128831i
$219$	6.32036	−	3.04372i	0.427090	−	0.205676i
$220$	−6.15883			−0.415228
$221$	22.8877	−	11.0221i	1.53959	−	0.741429i
$222$	0.609916	+	2.67222i	0.0409349	+	0.179348i
$223$	1.63826	+	0.788944i	0.109706	+	0.0528316i	0.487932	−	0.872882i	$-0.337751\pi$
$223$	1.63826	+	0.788944i	0.109706	+	0.0528316i	−0.378226	+	0.925713i	$0.623466\pi$
$224$	1.49612	+	0.720491i	0.0999634	+	0.0481398i
$225$	−1.45377	+	6.36939i	−0.0969181	+	0.424626i
$226$	2.96197	+	3.71419i	0.197027	+	0.247064i
$227$	−8.63922	+	10.8332i	−0.573405	+	0.719027i	−0.980972	−	0.194148i	$-0.937806\pi$
$227$	−8.63922	+	10.8332i	−0.573405	+	0.719027i	0.407567	+	0.913175i	$0.366377\pi$
$228$	1.17845	+	5.16312i	0.0780446	+	0.341936i
$229$	2.84213	−	12.4522i	0.187813	−	0.822862i	−0.789954	−	0.613166i	$-0.789895\pi$
$229$	2.84213	−	12.4522i	0.187813	−	0.822862i	0.977767	−	0.209696i	$-0.0672474\pi$
$230$	−0.440862	+	0.552823i	−0.0290695	+	0.0364521i
$231$	−2.19806			−0.144622
$232$		0			0
$233$	−8.86592			−0.580826			−0.290413	−	0.956901i	$-0.593793\pi$
$233$	−8.86592			−0.580826			−0.290413	+	0.956901i	$0.593793\pi$
$234$	−2.26659	+	2.84222i	−0.148172	+	0.185802i
$235$	0.992467	−	4.34828i	0.0647414	−	0.283651i
$236$	−5.00969	−	21.9489i	−0.326103	−	1.42875i
$237$	3.62684	−	4.54792i	0.235589	−	0.295419i
$238$	−0.445042	−	0.558065i	−0.0288478	−	0.0361740i
$239$	5.68867	−	24.9237i	0.367969	−	1.61218i	−0.364380	−	0.931250i	$-0.618719\pi$
$239$	5.68867	−	24.9237i	0.367969	−	1.61218i	0.732349	−	0.680929i	$-0.238424\pi$
$240$	2.21648	+	1.06740i	0.143073	+	0.0689004i
$241$	−8.76755	−	4.22223i	−0.564768	−	0.271978i	0.129638	−	0.991561i	$-0.458618\pi$
$241$	−8.76755	−	4.22223i	−0.564768	−	0.271978i	−0.694406	+	0.719584i	$0.744333\pi$
$242$	1.32640	+	5.81132i	0.0852640	+	0.373566i
$243$	12.0869	−	5.82077i	0.775378	−	0.373402i
$244$	2.96077			0.189544
$245$	4.28501	−	2.06355i	0.273759	−	0.131836i
$246$	1.07606	+	1.34934i	0.0686074	+	0.0860309i
$247$	8.30678	+	10.4164i	0.528548	+	0.662778i
$248$	10.2017	−	4.91288i	0.647809	−	0.311968i
$249$	−5.55496			−0.352031
$250$	−2.64191	+	1.27228i	−0.167089	+	0.0804658i
$251$	2.17187	+	9.51560i	0.137088	+	0.600620i	0.996067	+	0.0886088i	$0.0282421\pi$
$251$	2.17187	+	9.51560i	0.137088	+	0.600620i	−0.858979	+	0.512011i	$0.828901\pi$
$252$	−0.837282	−	0.403214i	−0.0527438	−	0.0254001i
$253$	−10.2165	−	4.92000i	−0.642305	−	0.309318i
$254$	−0.102679	+	0.449866i	−0.00644265	+	0.0282271i
$255$	−2.41789	−	3.03194i	−0.151414	−	0.189868i
$256$	1.49731	−	1.87757i	0.0935820	−	0.117348i
$257$	−3.63975	−	15.9468i	−0.227041	−	0.994734i	−0.952038	−	0.305981i	$-0.901016\pi$
$257$	−3.63975	−	15.9468i	−0.227041	−	0.994734i	0.724996	−	0.688753i	$-0.241841\pi$
$258$	0.420583	−	1.84270i	0.0261844	−	0.114721i
$259$	−1.09903	+	1.37814i	−0.0682905	+	0.0856335i
$260$	7.04892			0.437155
$261$		0			0
$262$	−3.57002			−0.220557
$263$	14.7913	−	18.5478i	0.912074	−	1.14370i	−0.0771102	−	0.997023i	$-0.524569\pi$
$263$	14.7913	−	18.5478i	0.912074	−	1.14370i	0.989184	−	0.146682i	$-0.0468593\pi$
$264$	2.31886	−	10.1596i	0.142716	−	0.625280i
$265$	0.722521	+	3.16557i	0.0443841	+	0.194459i
$266$	0.233406	−	0.292682i	0.0143110	−	0.0179455i
$267$	4.41603	+	5.53753i	0.270257	+	0.338891i
$268$	−0.931468	+	4.08103i	−0.0568985	+	0.249289i
$269$	−22.8436	−	11.0009i	−1.39280	−	0.670737i	−0.421113	−	0.907008i	$-0.638360\pi$
$269$	−22.8436	−	11.0009i	−1.39280	−	0.670737i	−0.971687	+	0.236271i	$0.924075\pi$
$270$	1.53803	+	0.740677i	0.0936017	+	0.0450762i
$271$	0.267790	+	1.17327i	0.0162671	+	0.0712709i	0.982410	−	0.186737i	$-0.0597912\pi$
$271$	0.267790	+	1.17327i	0.0162671	+	0.0712709i	−0.966143	+	0.258008i	$0.916934\pi$
$272$	−11.5429	+	5.55876i	−0.699890	+	0.337049i
$273$	2.51573			0.152259
$274$	6.90970	−	3.32754i	0.417430	−	0.201024i
$275$	−13.9224	−	17.4581i	−0.839551	−	1.05276i
$276$	3.21648	+	4.03334i	0.193609	+	0.242778i
$277$	−9.60872	+	4.62732i	−0.577332	+	0.278028i	−0.699677	−	0.714459i	$-0.746673\pi$
$277$	−9.60872	+	4.62732i	−0.577332	+	0.278028i	0.122345	+	0.992488i	$0.460959\pi$
$278$	7.41789			0.444896
$279$	−8.71260	+	4.19576i	−0.521609	+	0.251194i
$280$	−0.0929903	−	0.407417i	−0.00555724	−	0.0243478i
$281$	14.6673	+	7.06341i	0.874979	+	0.421368i	0.816788	−	0.576938i	$-0.195752\pi$
$281$	14.6673	+	7.06341i	0.874979	+	0.421368i	0.0581911	+	0.998305i	$0.481467\pi$
$282$	3.22252	+	1.55188i	0.191898	+	0.0924134i
$283$	1.16756	−	5.11543i	0.0694044	−	0.304081i	−0.928297	−	0.371839i	$-0.878727\pi$
$283$	1.16756	−	5.11543i	0.0694044	−	0.304081i	0.997702	+	0.0677581i	$0.0215846\pi$
$284$	8.24094	+	10.3338i	0.489010	+	0.613199i
$285$	1.26809	−	1.59013i	0.0751149	−	0.0941911i
$286$	−2.76487	−	12.1137i	−0.163490	−	0.716296i
$287$	−0.246980	+	1.08209i	−0.0145787	+	0.0638737i
$288$	4.19202	−	5.25663i	0.247017	−	0.309750i
$289$	3.19567			0.187981
$290$		0			0
$291$	0.225209			0.0132020
$292$	−6.32036	+	7.92548i	−0.369871	+	0.463803i
$293$	−1.50508	+	6.59419i	−0.0879278	+	0.385237i	−0.999674	−	0.0255163i	$-0.991877\pi$
$293$	−1.50508	+	6.59419i	−0.0879278	+	0.385237i	0.911747	+	0.410753i	$0.134734\pi$
$294$	0.848699	+	3.71839i	0.0494971	+	0.216861i
$295$	−5.39075	+	6.75978i	−0.313861	+	0.393570i
$296$	−5.21044	−	6.53368i	−0.302851	−	0.379763i
$297$	−6.09179	+	26.6899i	−0.353482	+	1.54870i
$298$	7.46077	+	3.59292i	0.432191	+	0.208132i
$299$	11.6930	+	5.63104i	0.676223	+	0.325652i
$300$	2.26055	+	9.90413i	0.130513	+	0.571815i
$301$	1.09515	−	0.527395i	0.0631232	−	0.0303985i
$302$	3.35019			0.192782
$303$	3.62833	−	1.74731i	0.208442	−	0.100381i
$304$	−4.18933	−	5.25326i	−0.240275	−	0.301295i
$305$	−0.708947	−	0.888992i	−0.0405942	−	0.0509035i
$306$	−2.60388	+	1.25396i	−0.148854	+	0.0716841i
$307$	4.51812			0.257863			0.128931	−	0.991654i	$-0.458845\pi$
$307$	4.51812			0.257863			0.128931	+	0.991654i	$0.458845\pi$
$308$	2.86174	−	1.37814i	0.163063	−	0.0785269i
$309$	−3.78836	−	16.5979i	−0.215513	−	0.944222i
$310$	−1.85690	−	0.894234i	−0.105465	−	0.0507891i
$311$	11.3671	+	5.47412i	0.644570	+	0.310409i	0.727460	−	0.686150i	$-0.240701\pi$
$311$	11.3671	+	5.47412i	0.644570	+	0.310409i	−0.0828899	+	0.996559i	$0.526415\pi$
$312$	−2.65399	+	11.6279i	−0.150253	+	0.658299i
$313$	11.9961	+	15.0427i	0.678061	+	0.850261i	0.995174	−	0.0981266i	$-0.0312850\pi$
$313$	11.9961	+	15.0427i	0.678061	+	0.850261i	−0.317113	+	0.948388i	$0.602714\pi$
$314$	5.06100	−	6.34629i	0.285609	−	0.358142i
$315$	0.0794168	+	0.347948i	0.00447463	+	0.0196046i
$316$	−1.87047	+	8.19506i	−0.105222	+	0.461008i
$317$	1.78836	−	2.24254i	0.100445	−	0.125953i	−0.729069	−	0.684441i	$-0.760047\pi$
$317$	1.78836	−	2.24254i	0.100445	−	0.125953i	0.829513	+	0.558487i	$0.188618\pi$
$318$	−2.60388			−0.146018
$319$		0			0
$320$	−2.51275			−0.140467
$321$	−12.6298	+	15.8373i	−0.704928	+	0.883952i
$322$	0.0811457	−	0.355523i	0.00452207	−	0.0198125i
$323$	2.35690	+	10.3262i	0.131141	+	0.574567i
$324$	2.89493	−	3.63012i	0.160829	−	0.201674i
$325$	15.9345	+	19.9812i	0.883884	+	1.10836i
$326$	1.25182	−	5.48460i	0.0693321	−	0.303764i
$327$	6.14191	+	2.95779i	0.339648	+	0.163566i
$328$	−4.74094	−	2.28312i	−0.261775	−	0.126064i
$329$	0.511845	+	2.24254i	0.0282189	+	0.123635i
$330$	−1.70895	+	0.822986i	−0.0940745	+	0.0453039i
$331$	3.13408			0.172265			0.0861323	−	0.996284i	$-0.472549\pi$
$331$	3.13408			0.172265			0.0861323	+	0.996284i	$0.472549\pi$
$332$	7.23221	−	3.48285i	0.396919	−	0.191146i
$333$	4.44989	+	5.57998i	0.243852	+	0.305781i
$334$	0.221029	+	0.277162i	0.0120942	+	0.0151656i
$335$	1.44839	−	0.697510i	0.0791342	−	0.0381090i
$336$	−1.26875			−0.0692160
$337$	−4.48911	+	2.16184i	−0.244538	+	0.117763i	−0.552139	−	0.833752i	$-0.686188\pi$
$337$	−4.48911	+	2.16184i	−0.244538	+	0.117763i	0.307601	+	0.951515i	$0.400474\pi$
$338$	1.87704	+	8.22386i	0.102098	+	0.447319i
$339$	−11.9928	−	5.77541i	−0.651357	−	0.313677i
$340$	5.04892	+	2.43143i	0.273816	+	0.131863i
$341$	7.35474	−	32.2232i	0.398281	−	1.74499i
$342$	−0.945042	−	1.18505i	−0.0511020	−	0.0640799i
$343$	−3.08695	+	3.87091i	−0.166680	+	0.209010i
$344$	1.28232	+	5.61823i	0.0691382	+	0.302914i
$345$	0.440862	−	1.93154i	0.0237352	−	0.103991i
$346$	2.53989	−	3.18492i	0.136545	−	0.171223i
$347$	20.1172			1.07995			0.539974	−	0.841682i	$-0.318434\pi$
$347$	20.1172			1.07995			0.539974	+	0.841682i	$0.318434\pi$
$348$		0			0
$349$	20.4892			1.09676			0.548380	−	0.836229i	$-0.315245\pi$
$349$	20.4892			1.09676			0.548380	+	0.836229i	$0.315245\pi$
$350$	0.447730	−	0.561436i	0.0239322	−	0.0300100i
$351$	6.97219	−	30.5472i	0.372148	−	1.63049i
$352$	5.11356	+	22.4040i	0.272554	+	1.19414i
$353$	11.2213	−	14.0711i	0.597251	−	0.748929i	−0.387696	−	0.921787i	$-0.626729\pi$
$353$	11.2213	−	14.0711i	0.597251	−	0.748929i	0.984947	+	0.172859i	$0.0553003\pi$
$354$	−4.32304	−	5.42093i	−0.229767	−	0.288119i
$355$	1.12953	−	4.94880i	0.0599493	−	0.262655i
$356$	−9.22132	−	4.44076i	−0.488729	−	0.235360i
$357$	1.80194	+	0.867767i	0.0953687	+	0.0459271i
$358$	0.337282	+	1.47773i	0.0178259	+	0.0781003i
$359$	−21.2887	+	10.2521i	−1.12357	+	0.541084i	−0.900994	−	0.433831i	$-0.857162\pi$
$359$	−21.2887	+	10.2521i	−1.12357	+	0.541084i	−0.222578	+	0.974915i	$0.571447\pi$
$360$	−1.69202			−0.0891774
$361$	12.1136	−	5.83359i	0.637556	−	0.307031i
$362$	−3.51693	−	4.41009i	−0.184846	−	0.231789i
$363$	−10.4133	−	13.0579i	−0.546559	−	0.685363i
$364$	−3.27532	+	1.57731i	−0.171674	+	0.0826736i
$365$	3.89307			0.203772
$366$	0.821552	−	0.395639i	0.0429432	−	0.0206804i
$367$	6.59621	+	28.8999i	0.344319	+	1.50856i	0.789853	+	0.613297i	$0.210157\pi$
$367$	6.59621	+	28.8999i	0.344319	+	1.50856i	−0.445533	+	0.895265i	$0.646986\pi$
$368$	−5.89708	−	2.83989i	−0.307407	−	0.148039i
$369$	4.04892	+	1.94986i	0.210778	+	0.101505i
$370$	−0.338478	+	1.48297i	−0.0175966	+	0.0770959i
$371$	−1.04407	−	1.30923i	−0.0542056	−	0.0679716i
$372$	−9.37531	+	11.7563i	−0.486087	+	0.609534i
$373$	5.60483	+	24.5564i	0.290207	+	1.27148i	0.884237	+	0.467038i	$0.154679\pi$
$373$	5.60483	+	24.5564i	0.290207	+	1.27148i	−0.594030	+	0.804443i	$0.702464\pi$
$374$	2.19806	−	9.63034i	0.113659	−	0.497973i
$375$	5.12266	−	6.42361i	0.264533	−	0.331714i
$376$	−10.9051			−0.562390
$377$		0			0
$378$	−0.880395			−0.0452826
$379$	−16.7763	+	21.0368i	−0.861740	+	1.08059i	0.134235	+	0.990950i	$0.457142\pi$
$379$	−16.7763	+	21.0368i	−0.861740	+	1.08059i	−0.995974	+	0.0896379i	$0.971429\pi$
$380$	−0.653989	+	2.86531i	−0.0335489	+	0.146988i
$381$	−0.287700	−	1.26050i	−0.0147393	−	0.0645772i
$382$	2.96077	−	3.71269i	0.151486	−	0.189958i
$383$	−12.2635	−	15.3780i	−0.626637	−	0.785779i	0.362624	−	0.931936i	$-0.381881\pi$
$383$	−12.2635	−	15.3780i	−0.626637	−	0.785779i	−0.989261	+	0.146157i	$0.953310\pi$
$384$	3.03050	−	13.2775i	0.154650	−	0.677564i
$385$	−1.09903	−	0.529265i	−0.0560118	−	0.0269739i
$386$	9.11356	+	4.38886i	0.463868	+	0.223387i
$387$	−1.09515	−	4.79815i	−0.0556694	−	0.243904i
$388$	−0.293209	+	0.141202i	−0.0148854	+	0.00716843i
$389$	24.8552			1.26021			0.630103	−	0.776511i	$-0.283012\pi$
$389$	24.8552			1.26021			0.630103	+	0.776511i	$0.283012\pi$
$390$	1.95593	−	0.941925i	0.0990422	−	0.0476962i
$391$	6.43296	+	8.06668i	0.325329	+	0.407949i
$392$	−7.25033	−	9.09163i	−0.366197	−	0.459197i
$393$	9.01238	−	4.34013i	0.454614	−	0.218931i
$394$	8.70410			0.438506
$395$	2.90850	−	1.40066i	0.146343	−	0.0704749i
$396$	−2.86174	−	12.5381i	−0.143808	−	0.630063i
$397$	3.59903	+	1.73320i	0.180630	+	0.0869869i	0.522013	−	0.852937i	$-0.325181\pi$
$397$	3.59903	+	1.73320i	0.180630	+	0.0869869i	−0.341383	+	0.939924i	$0.610895\pi$
$398$	−0.350855	−	0.168963i	−0.0175868	−	0.00846934i
$399$	−0.233406	+	1.02262i	−0.0116849	+	0.0511950i
$400$	−8.03617	−	10.0770i	−0.401809	−	0.503852i
$401$	−15.5293	+	19.4731i	−0.775496	+	0.972442i	−0.999998	−	0.00203202i	$-0.999353\pi$
$401$	−15.5293	+	19.4731i	−0.775496	+	0.972442i	0.224502	+	0.974474i	$0.427925\pi$
$402$	0.286872	+	1.25687i	0.0143079	+	0.0626869i
$403$	−8.41766	+	36.8802i	−0.419313	+	1.83713i
$404$	−3.62833	+	4.54979i	−0.180516	+	0.226360i
$405$	−1.78315			−0.0886055
$406$		0			0
$407$	−24.3937			−1.20915
$408$	−5.91185	+	7.41323i	−0.292680	+	0.367010i
$409$	−0.0630233	+	0.276123i	−0.00311630	+	0.0136534i	−0.976462	−	0.215689i	$-0.930800\pi$
$409$	−0.0630233	+	0.276123i	−0.00311630	+	0.0136534i	0.973346	+	0.229342i	$0.0736575\pi$
$410$	0.213128	+	0.933774i	0.0105256	+	0.0461158i
$411$	−13.3979	+	16.8005i	−0.660870	+	0.828705i
$412$	15.3388	+	19.2342i	0.755687	+	0.947602i
$413$	0.992230	−	4.34724i	0.0488245	−	0.213914i
$414$	−1.33028	−	0.640630i	−0.0653798	−	0.0314852i
$415$	−2.77748	−	1.33756i	−0.136341	−	0.0656584i
$416$	−5.85258	−	25.6418i	−0.286947	−	1.25719i
$417$	−18.7262	+	9.01805i	−0.917024	+	0.441616i
$418$	5.18060			0.253392
$419$	23.8654	−	11.4930i	1.16590	−	0.561468i	0.252128	−	0.967694i	$-0.418870\pi$
$419$	23.8654	−	11.4930i	1.16590	−	0.561468i	0.913773	+	0.406226i	$0.133155\pi$
$420$	0.346011	+	0.433884i	0.0168836	+	0.0211714i
$421$	−10.9623	−	13.7462i	−0.534268	−	0.669951i	0.439302	−	0.898339i	$-0.355226\pi$
$421$	−10.9623	−	13.7462i	−0.534268	−	0.669951i	−0.973570	+	0.228389i	$0.926654\pi$
$422$	−7.32520	+	3.52763i	−0.356585	+	0.171722i
$423$	9.31336			0.452831
$424$	7.15279	−	3.44460i	0.347370	−	0.167285i
$425$	4.52111	+	19.8083i	0.219306	+	0.960842i
$426$	3.66756	+	1.76621i	0.177694	+	0.0855729i
$427$	0.528344	+	0.254437i	0.0255683	+	0.0123131i
$428$	6.51357	−	28.5378i	0.314845	−	1.37943i
$429$	21.7066	+	27.2192i	1.04800	+	1.31415i
$430$	0.653989	−	0.820077i	0.0315382	−	0.0395476i
$431$	6.18502	+	27.0983i	0.297922	+	1.30528i	0.873215	+	0.487334i	$0.162031\pi$
$431$	6.18502	+	27.0983i	0.297922	+	1.30528i	−0.575293	+	0.817947i	$0.695112\pi$
$432$	−3.51626	+	15.4058i	−0.169176	+	0.741210i
$433$	3.66338	−	4.59374i	0.176051	−	0.220761i	−0.685975	−	0.727625i	$-0.740624\pi$
$433$	3.66338	−	4.59374i	0.176051	−	0.220761i	0.862026	+	0.506864i	$0.169195\pi$
$434$	1.06292			0.0510217
$435$		0			0
$436$	−9.85086			−0.471770
$437$	−3.37382	+	4.23064i	−0.161392	+	0.202379i
$438$	−0.694710	+	3.04372i	−0.0331945	+	0.145435i
$439$	3.50269	+	15.3463i	0.167174	+	0.732438i	0.987118	+	0.159994i	$0.0511475\pi$
$439$	3.50269	+	15.3463i	0.167174	+	0.732438i	−0.819944	+	0.572444i	$0.805995\pi$
$440$	3.60574	−	4.52145i	0.171897	−	0.215552i
$441$	6.19202	+	7.76455i	0.294858	+	0.369740i
$442$	−2.51573	+	11.0221i	−0.119661	+	0.524269i
$443$	−6.07122	−	2.92375i	−0.288452	−	0.138911i	0.284062	−	0.958806i	$-0.408318\pi$
$443$	−6.07122	−	2.92375i	−0.288452	−	0.138911i	−0.572515	+	0.819894i	$0.694032\pi$
$444$	9.99880	+	4.81517i	0.474522	+	0.228518i
$445$	0.874650	+	3.83209i	0.0414624	+	0.181659i
$446$	−0.729094	+	0.351113i	−0.0345236	+	0.0166257i
$447$	−23.2024			−1.09743
$448$	1.16756	−	0.562269i	0.0551622	−	0.0265647i
$449$	7.68143	+	9.63221i	0.362509	+	0.454572i	0.929320	−	0.369276i	$-0.120394\pi$
$449$	7.68143	+	9.63221i	0.362509	+	0.454572i	−0.566811	+	0.823848i	$0.691823\pi$
$450$	−1.81282	−	2.27321i	−0.0854573	−	0.107160i
$451$	−13.8388	+	6.66440i	−0.651642	+	0.313814i
$452$	19.2349			0.904733
$453$	−8.45742	+	4.07288i	−0.397364	+	0.191361i
$454$	−1.37220	−	6.01199i	−0.0644005	−	0.282157i
$455$	1.25786	+	0.605756i	0.0589696	+	0.0283983i
$456$	−4.48039	−	2.15764i	−0.209813	−	0.101041i
$457$	−3.04019	+	13.3199i	−0.142214	+	0.623080i	0.852704	+	0.522394i	$0.174961\pi$
$457$	−3.04019	+	13.3199i	−0.142214	+	0.623080i	−0.994918	+	0.100686i	$0.967896\pi$
$458$	3.54407	+	4.44413i	0.165604	+	0.207660i
$459$	15.5308	−	19.4750i	0.724915	−	0.909015i
$460$	0.637063	+	2.79116i	0.0297032	+	0.130138i
$461$	−2.58306	+	11.3171i	−0.120305	+	0.527092i	0.878478	+	0.477782i	$0.158559\pi$
$461$	−2.58306	+	11.3171i	−0.120305	+	0.527092i	−0.998784	+	0.0493096i	$0.984298\pi$
$462$	0.609916	−	0.764811i	0.0283759	−	0.0355822i
$463$	−7.24267			−0.336595			−0.168298	−	0.985736i	$-0.553827\pi$
$463$	−7.24267			−0.336595			−0.168298	+	0.985736i	$0.553827\pi$
$464$		0			0
$465$	5.77479			0.267800
$466$	2.46011	−	3.08488i	0.113962	−	0.142904i
$467$	0.459148	−	2.01166i	0.0212468	−	0.0930884i	−0.963193	−	0.268811i	$-0.913369\pi$
$467$	0.459148	−	2.01166i	0.0212468	−	0.0930884i	0.984440	+	0.175723i	$0.0562263\pi$
$468$	3.27532	+	14.3501i	0.151402	+	0.663335i
$469$	−0.516926	+	0.648205i	−0.0238694	+	0.0299313i
$470$	1.23759	+	1.55188i	0.0570856	+	0.0715831i
$471$	−5.06100	+	22.1737i	−0.233199	+	1.02171i
$472$	19.0465	+	9.17232i	0.876687	+	0.422190i
$473$	15.1555	+	7.29850i	0.696850	+	0.335585i
$474$	0.576064	+	2.52390i	0.0264595	+	0.115927i
$475$	−9.60052	+	4.62337i	−0.440502	+	0.212135i
$476$	−2.89008			−0.132467
$477$	−6.10872	+	2.94180i	−0.279699	+	0.134696i
$478$	7.09365	+	8.89516i	0.324456	+	0.406855i
$479$	−2.42476	−	3.04056i	−0.110790	−	0.138927i	0.723344	−	0.690487i	$-0.242604\pi$
$479$	−2.42476	−	3.04056i	−0.110790	−	0.138927i	−0.834135	+	0.551561i	$0.814032\pi$
$480$	−3.61745	+	1.74207i	−0.165113	+	0.0795143i
$481$	27.9191			1.27300
$482$	3.90193	−	1.87907i	0.177728	−	0.0855893i
$483$	0.227365	+	0.996152i	0.0103455	+	0.0453265i
$484$	21.7446	+	10.4716i	0.988390	+	0.475984i
$485$	0.112605	+	0.0542276i	0.00511311	+	0.00246235i
$486$	−1.32855	+	5.82077i	−0.0602644	+	0.264035i
$487$	6.13856	+	7.69750i	0.278164	+	0.348807i	0.901213	−	0.433376i	$-0.142678\pi$
$487$	6.13856	+	7.69750i	0.278164	+	0.348807i	−0.623049	+	0.782183i	$0.714106\pi$
$488$	−1.73341	+	2.17362i	−0.0784676	+	0.0983953i
$489$	3.50753	+	15.3675i	0.158616	+	0.694943i
$490$	−0.470992	+	2.06355i	−0.0212773	+	0.0932218i
$491$	4.85772	−	6.09139i	0.219226	−	0.274901i	−0.660041	−	0.751229i	$-0.729461\pi$
$491$	4.85772	−	6.09139i	0.219226	−	0.274901i	0.879267	+	0.476329i	$0.158033\pi$
$492$	6.98792			0.315040
$493$		0			0
$494$	−5.92931			−0.266772
$495$	−3.07942	+	3.86147i	−0.138409	+	0.173560i
$496$	4.24525	−	18.5997i	0.190617	−	0.835149i
$497$	0.582532	+	2.55224i	0.0261301	+	0.114484i
$498$	1.54138	−	1.93284i	0.0690711	−	0.0866124i
$499$	−12.8222	−	16.0786i	−0.574001	−	0.719775i	0.407075	−	0.913395i	$-0.366549\pi$
$499$	−12.8222	−	16.0786i	−0.574001	−	0.719775i	−0.981077	+	0.193620i	$0.937977\pi$
$500$	−2.64191	+	11.5750i	−0.118150	+	0.517648i
$501$	−0.894928	−	0.430975i	−0.0399824	−	0.0192545i
$502$	−3.91358	−	1.88468i	−0.174672	−	0.0841175i
$503$	−1.83244	−	8.02843i	−0.0817043	−	0.357970i	0.917505	−	0.397724i	$-0.130200\pi$
$503$	−1.83244	−	8.02843i	−0.0817043	−	0.357970i	−0.999210	+	0.0397538i	$0.987343\pi$
$504$	0.786208	−	0.378618i	0.0350205	−	0.0168650i
$505$	2.23490			0.0994517
$506$	4.54676	−	2.18960i	0.202128	−	0.0973398i
$507$	−14.7364	−	18.4788i	−0.654466	−	0.820674i
$508$	1.16487	+	1.46071i	0.0516829	+	0.0648084i
$509$	−7.13222	+	3.43470i	−0.316130	+	0.152240i	−0.585219	−	0.810875i	$-0.698992\pi$
$509$	−7.13222	+	3.43470i	−0.316130	+	0.152240i	0.269089	+	0.963115i	$0.413277\pi$
$510$	1.72587			0.0764230
$511$	−1.80894	+	0.871139i	−0.0800227	+	0.0385369i
$512$	5.09837	+	22.3374i	0.225318	+	0.987183i
$513$	11.7702	+	5.66825i	0.519669	+	0.250259i
$514$	6.55861	+	3.15846i	0.289288	+	0.139314i
$515$	2.10238	−	9.21114i	0.0926421	−	0.405892i
$516$	−4.77144	−	5.98319i	−0.210051	−	0.263395i
$517$	−19.8470	+	24.8873i	−0.872869	+	1.09454i
$518$	−0.174563	−	0.764811i	−0.00766986	−	0.0336039i
$519$	−2.53989	+	11.1280i	−0.111489	+	0.488465i
$520$	−4.12684	+	5.17490i	−0.180974	+	0.226934i
$521$	−3.52542			−0.154451			−0.0772257	−	0.997014i	$-0.524606\pi$
$521$	−3.52542			−0.154451			−0.0772257	+	0.997014i	$0.524606\pi$
$522$		0			0
$523$	10.0301			0.438587			0.219294	−	0.975659i	$-0.429625\pi$
$523$	10.0301			0.438587			0.219294	+	0.975659i	$0.429625\pi$
$524$	−9.01238	+	11.3012i	−0.393708	+	0.493694i
$525$	−0.447730	+	1.96163i	−0.0195406	+	0.0856127i
$526$	2.34936	+	10.2932i	0.102437	+	0.448806i
$527$	−18.7506	+	23.5125i	−0.816790	+	1.02422i
$528$	−10.9472	−	13.7274i	−0.476416	−	0.597406i
$529$	3.94504	−	17.2844i	0.171524	−	0.751494i
$530$	−1.30194	−	0.626980i	−0.0565526	−	0.0272343i
$531$	−16.2664	−	7.83346i	−0.705900	−	0.339943i
$532$	−0.337282	−	1.47773i	−0.0146230	−	0.0640676i
$533$	15.8388	−	7.62755i	0.686053	−	0.330386i
$534$	−3.15213			−0.136406
$535$	−10.1283	+	4.87755i	−0.437886	+	0.210875i
$536$	−2.45071	−	3.07310i	−0.105855	−	0.132738i
$537$	−2.64795	−	3.32042i	−0.114267	−	0.143287i
$538$	10.1664	−	4.89586i	0.438303	−	0.211076i
$539$	−33.9439			−1.46207
$540$	6.22737	−	2.99894i	0.267983	−	0.129054i
$541$	−1.83004	−	8.01795i	−0.0786797	−	0.344719i	0.920231	−	0.391375i	$-0.128000\pi$
$541$	−1.83004	−	8.01795i	−0.0786797	−	0.344719i	−0.998911	+	0.0466566i	$0.985143\pi$
$542$	−0.482542	−	0.232380i	−0.0207269	−	0.00998157i
$543$	14.2397	+	6.85750i	0.611086	+	0.294283i
$544$	4.65279	−	20.3852i	0.199487	−	0.874009i
$545$	2.35876	+	2.95779i	0.101038	+	0.126698i
$546$	−0.698062	+	0.875342i	−0.0298743	+	0.0374612i
$547$	−5.75504	−	25.2145i	−0.246068	−	1.07809i	−0.935384	−	0.353633i	$-0.884946\pi$
$547$	−5.75504	−	25.2145i	−0.246068	−	1.07809i	0.689316	−	0.724461i	$-0.257911\pi$
$548$	6.90970	−	30.2734i	0.295168	−	1.29321i
$549$	1.48039	−	1.85634i	0.0631813	−	0.0792269i
$550$	9.93767			0.423744
$551$		0			0
$552$	−4.84415			−0.206181
$553$	−1.03803	+	1.30165i	−0.0441416	+	0.0553518i
$554$	1.05615	−	4.62732i	0.0448717	−	0.196596i
$555$	−0.948394	−	4.15519i	−0.0402571	−	0.176378i
$556$	18.7262	−	23.4819i	0.794166	−	0.995853i
$557$	14.3463	+	17.9897i	0.607873	+	0.762248i	0.986582	−	0.163268i	$-0.0522034\pi$
$557$	14.3463	+	17.9897i	0.607873	+	0.762248i	−0.378709	+	0.925516i	$0.623632\pi$
$558$	0.957656	−	4.19576i	0.0405408	−	0.177621i
$559$	−17.3458	−	8.35328i	−0.733648	−	0.353306i
$560$	−0.634375	−	0.305499i	−0.0268072	−	0.0129097i
$561$	6.15883	+	26.9836i	0.260026	+	1.13925i
$562$	−6.52757	+	3.14351i	−0.275349	+	0.132601i
$563$	43.1159			1.81712			0.908559	−	0.417757i	$-0.137184\pi$
$563$	43.1159			1.81712			0.908559	+	0.417757i	$0.137184\pi$
$564$	13.0477	−	6.28345i	0.549408	−	0.264581i
$565$	−4.60574	−	5.77541i	−0.193765	−	0.242973i
$566$	1.45593	+	1.82567i	0.0611972	+	0.0767388i
$567$	0.828552	−	0.399010i	0.0347959	−	0.0167568i
$568$	−12.4112			−0.520762
$569$	21.9046	−	10.5487i	0.918289	−	0.442225i	0.0858292	−	0.996310i	$-0.472646\pi$
$569$	21.9046	−	10.5487i	0.918289	−	0.442225i	0.832460	+	0.554085i	$0.186932\pi$
$570$	0.201415	+	0.882455i	0.00843633	+	0.0369620i
$571$	−16.6576	−	8.02190i	−0.697100	−	0.335706i	0.0515504	−	0.998670i	$-0.483584\pi$
$571$	−16.6576	−	8.02190i	−0.697100	−	0.335706i	−0.748651	+	0.662965i	$0.769298\pi$
$572$	−45.3265	−	21.8281i	−1.89519	−	0.912677i
$573$	−2.96077	+	12.9720i	−0.123688	+	0.541913i
$574$	−0.307979	−	0.386193i	−0.0128548	−	0.0161194i
$575$	−6.47182	+	8.11541i	−0.269894	+	0.338436i
$576$	−1.16756	−	5.11543i	−0.0486485	−	0.213143i
$577$	8.42423	−	36.9090i	0.350705	−	1.53654i	−0.424852	−	0.905263i	$-0.639674\pi$
$577$	8.42423	−	36.9090i	0.350705	−	1.53654i	0.775557	−	0.631277i	$-0.217469\pi$
$578$	−0.886731	+	1.11193i	−0.0368832	+	0.0462500i
$579$	−28.3424			−1.17787
$580$		0			0
$581$	1.58987			0.0659591
$582$	−0.0624909	+	0.0783611i	−0.00259033	+	0.00324817i
$583$	5.15668	−	22.5929i	0.213568	−	0.935702i
$584$	−2.11811	−	9.28006i	−0.0876481	−	0.384012i
$585$	3.52446	−	4.41953i	0.145718	−	0.182725i
$586$	−1.87681	−	2.35344i	−0.0775301	−	0.0972197i
$587$	3.21217	−	14.0734i	0.132580	−	0.580873i	−0.864372	−	0.502854i	$-0.832283\pi$
$587$	3.21217	−	14.0734i	0.132580	−	0.580873i	0.996952	−	0.0780188i	$-0.0248594\pi$
$588$	13.9133	+	6.70031i	0.573777	+	0.276316i
$589$	−14.2104	−	6.84339i	−0.585531	−	0.281977i
$590$	−0.856232	−	3.75140i	−0.0352505	−	0.154443i
$591$	−21.9731	+	10.5817i	−0.903855	+	0.435273i
$592$	−14.0804			−0.578700
$593$	11.7143	−	5.64132i	0.481050	−	0.231661i	−0.177612	−	0.984101i	$-0.556837\pi$
$593$	11.7143	−	5.64132i	0.481050	−	0.231661i	0.658662	+	0.752439i	$0.271123\pi$
$594$	−7.59634	−	9.52551i	−0.311682	−	0.390837i
$595$	0.692021	+	0.867767i	0.0283701	+	0.0355750i
$596$	30.2080	−	14.5474i	1.23737	−	0.595886i
$597$	1.09113			0.0446570
$598$	−5.20387	+	2.50605i	−0.212802	+	0.102480i
$599$	−2.69106	−	11.7903i	−0.109954	−	0.481739i	−0.999681	−	0.0252470i	$-0.991963\pi$
$599$	−2.69106	−	11.7903i	−0.109954	−	0.481739i	0.889727	−	0.456492i	$-0.150894\pi$
$600$	−8.59448	−	4.13888i	−0.350868	−	0.168969i
$601$	20.1341	+	9.69609i	0.821289	+	0.395512i	0.796841	−	0.604189i	$-0.206503\pi$
$601$	20.1341	+	9.69609i	0.821289	+	0.395512i	0.0244478	+	0.999701i	$0.492217\pi$
$602$	−0.120374	+	0.527395i	−0.00490609	+	0.0214950i
$603$	2.09299	+	2.62453i	0.0852332	+	0.106879i
$604$	8.45742	−	10.6053i	0.344127	−	0.431522i
$605$	−2.06249	−	9.03636i	−0.0838522	−	0.367380i
$606$	−0.398813	+	1.74731i	−0.0162007	+	0.0709798i
$607$	25.8553	−	32.4216i	1.04944	−	1.31595i	0.102428	−	0.994740i	$-0.467339\pi$
$607$	25.8553	−	32.4216i	1.04944	−	1.31595i	0.947008	−	0.321210i	$-0.104090\pi$
$608$	10.9661			0.444736
$609$		0			0
$610$	0.506041			0.0204890
$611$	22.7153	−	28.4841i	0.918962	−	1.15234i
$612$	−2.60388	+	11.4083i	−0.105255	+	0.461154i
$613$	−5.73759	−	25.1380i	−0.231739	−	1.01531i	−0.948197	−	0.317684i	$-0.897095\pi$
$613$	−5.73759	−	25.1380i	−0.231739	−	1.01531i	0.716458	−	0.697631i	$-0.245762\pi$
$614$	−1.25368	+	1.57207i	−0.0505946	+	0.0634436i
$615$	−1.67324	−	2.09817i	−0.0674714	−	0.0846064i
$616$	−0.663678	+	2.90776i	−0.0267403	+	0.117157i
$617$	−7.98739	−	3.84652i	−0.321560	−	0.154855i	0.266139	−	0.963935i	$-0.414252\pi$
$617$	−7.98739	−	3.84652i	−0.321560	−	0.154855i	−0.587699	+	0.809079i	$0.699966\pi$
$618$	6.82640	+	3.28742i	0.274598	+	0.132239i
$619$	−6.55352	−	28.7129i	−0.263408	−	1.15407i	−0.917526	−	0.397675i	$-0.869817\pi$
$619$	−6.55352	−	28.7129i	−0.263408	−	1.15407i	0.654118	−	0.756393i	$-0.273040\pi$
$620$	−7.51842	+	3.62068i	−0.301947	+	0.145410i
$621$	12.7259			0.510672
$622$	−5.05884	+	2.43621i	−0.202841	+	0.0976831i
$623$	−1.26391	−	1.58489i	−0.0506373	−	0.0634972i
$624$	12.5293	+	15.7112i	0.501574	+	0.628953i
$625$	−16.2588	+	7.82984i	−0.650353	+	0.313193i
$626$	−8.56273			−0.342235
$627$	−13.0782	+	6.29814i	−0.522294	+	0.251523i
$628$	−7.31336	−	32.0419i	−0.291835	−	1.27861i
$629$	19.9976	+	9.63034i	0.797357	+	0.383987i
$630$	−0.143104	−	0.0689153i	−0.00570141	−	0.00274565i
$631$	−5.28956	+	23.1751i	−0.210574	+	0.922585i	0.753604	+	0.657329i	$0.228314\pi$
$631$	−5.28956	+	23.1751i	−0.210574	+	0.922585i	−0.964178	+	0.265256i	$0.914543\pi$
$632$	−4.92125	−	6.17105i	−0.195757	−	0.245471i
$633$	14.2036	−	17.8107i	0.564541	−	0.707912i
$634$	0.284052	+	1.24451i	0.0112812	+	0.0494260i
$635$	0.159662	−	0.699523i	0.00633598	−	0.0277597i
$636$	−6.57338	+	8.24275i	−0.260651	+	0.326846i
$637$	38.8495			1.53927
$638$		0			0
$639$	10.5996			0.419312
$640$	4.71230	−	5.90904i	0.186270	−	0.233575i
$641$	−6.33417	+	27.7518i	−0.250185	+	1.09613i	0.681201	+	0.732096i	$0.261458\pi$
$641$	−6.33417	+	27.7518i	−0.250185	+	1.09613i	−0.931386	+	0.364034i	$0.881399\pi$
$642$	−2.00604	−	8.78904i	−0.0791721	−	0.346876i
$643$	−12.0625	+	15.1259i	−0.475698	+	0.596507i	−0.960556	−	0.278086i	$-0.910300\pi$
$643$	−12.0625	+	15.1259i	−0.475698	+	0.596507i	0.484858	+	0.874593i	$0.338871\pi$
$644$	−0.920583	−	1.15437i	−0.0362761	−	0.0454887i
$645$	−0.653989	+	2.86531i	−0.0257508	+	0.112822i
$646$	−4.24698	−	2.04524i	−0.167095	−	0.0804688i
$647$	−20.4650	−	9.85540i	−0.804560	−	0.387456i	−0.0140475	−	0.999901i	$-0.504472\pi$
$647$	−20.4650	−	9.85540i	−0.804560	−	0.387456i	−0.790513	+	0.612446i	$0.790186\pi$
$648$	0.970165	+	4.25057i	0.0381117	+	0.166978i
$649$	55.5967	−	26.7740i	2.18236	−	1.05097i
$650$	−11.3739			−0.446120
$651$	−2.68329	+	1.29221i	−0.105167	+	0.0506455i
$652$	−14.2017	−	17.8084i	−0.556182	−	0.697430i
$653$	14.2974	+	17.9284i	0.559500	+	0.701591i	0.978465	−	0.206411i	$-0.0661785\pi$
$653$	14.2974	+	17.9284i	0.559500	+	0.701591i	−0.418965	+	0.908002i	$0.637607\pi$
$654$	−2.73341	+	1.31634i	−0.106885	+	0.0514729i
$655$	5.55124			0.216905
$656$	−7.98792	+	3.84678i	−0.311876	+	0.150191i
$657$	1.80894	+	7.92548i	0.0705734	+	0.309202i
$658$	−0.922312	−	0.444162i	−0.0359555	−	0.0173152i
$659$	17.2790	+	8.32111i	0.673093	+	0.324145i	0.739023	−	0.673680i	$-0.235287\pi$
$659$	17.2790	+	8.32111i	0.673093	+	0.324145i	−0.0659303	+	0.997824i	$0.521002\pi$
$660$	−1.70895	+	7.48739i	−0.0665207	+	0.291446i
$661$	−2.11141	−	2.64762i	−0.0821243	−	0.102981i	0.739072	−	0.673626i	$-0.235264\pi$
$661$	−2.11141	−	2.64762i	−0.0821243	−	0.102981i	−0.821196	+	0.570646i	$0.806693\pi$
$662$	−0.869641	+	1.09050i	−0.0337996	+	0.0423833i
$663$	−7.04892	−	30.8833i	−0.273757	−	1.19941i
$664$	−1.67725	+	7.34852i	−0.0650900	+	0.285178i
$665$	−0.362937	+	0.455108i	−0.0140741	+	0.0176483i
$666$	−3.17629			−0.123079
$667$		0			0
$668$	1.43535			0.0555355
$669$	1.41371	−	1.77274i	0.0546574	−	0.0685382i
$670$	−0.159202	+	0.697510i	−0.00615051	+	0.0269472i
$671$	1.80582	+	7.91183i	0.0697130	+	0.305433i
$672$	1.29105	−	1.61893i	0.0498034	−	0.0624515i
$673$	2.97434	+	3.72971i	0.114653	+	0.143770i	0.835846	−	0.548964i	$-0.184978\pi$
$673$	2.97434	+	3.72971i	0.114653	+	0.143770i	−0.721193	+	0.692734i	$0.756406\pi$
$674$	0.493427	−	2.16184i	0.0190061	−	0.0832711i
$675$	22.5782	+	10.8731i	0.869036	+	0.418506i
$676$	30.7717	+	14.8189i	1.18353	+	0.569957i
$677$	9.58844	+	42.0097i	0.368514	+	1.61456i	0.730865	+	0.682522i	$0.239117\pi$
$677$	9.58844	+	42.0097i	0.368514	+	1.61456i	−0.362351	+	0.932042i	$0.618026\pi$
$678$	5.33728	−	2.57030i	0.204977	−	0.0987118i
$679$	−0.0644568			−0.00247362
$680$	−4.74094	+	2.28312i	−0.181807	+	0.0875535i
$681$	10.7729	+	13.5088i	0.412820	+	0.517659i
$682$	9.17121	+	11.5003i	0.351184	+	0.440371i
$683$	−21.1124	+	10.1672i	−0.807842	+	0.389036i	−0.791758	−	0.610834i	$-0.790834\pi$
$683$	−21.1124	+	10.1672i	−0.807842	+	0.389036i	−0.0160838	+	0.999871i	$0.505120\pi$
$684$	−6.13706			−0.234656
$685$	−10.7443	+	5.17418i	−0.410518	+	0.197695i
$686$	−0.490311	−	2.14819i	−0.0187202	−	0.0820184i
$687$	−14.3497	−	6.91043i	−0.547474	−	0.263649i
$688$	8.74794	+	4.21279i	0.333512	+	0.160611i
$689$	−5.90193	+	25.8580i	−0.224846	+	0.985113i
$690$	0.549745	+	0.689359i	0.0209284	+	0.0262434i
$691$	26.8959	−	33.7264i	1.02317	−	1.28301i	0.0646716	−	0.997907i	$-0.479400\pi$
$691$	26.8959	−	33.7264i	1.02317	−	1.28301i	0.958496	−	0.285105i	$-0.0920285\pi$
$692$	−3.67025	−	16.0804i	−0.139522	−	0.611286i
$693$	0.566803	−	2.48333i	0.0215311	−	0.0943337i
$694$	−5.58211	+	6.99974i	−0.211894	+	0.265706i
$695$	−11.5345			−0.437529
$696$		0			0
$697$	13.9758			0.529373
$698$	−5.68532	+	7.12916i	−0.215192	+	0.269843i
$699$	−2.46011	+	10.7784i	−0.0930498	+	0.407678i
$700$	−0.646989	−	2.83464i	−0.0244539	−	0.107139i
$701$	2.63789	−	3.30781i	0.0996318	−	0.124934i	−0.729516	−	0.683964i	$-0.760255\pi$
$701$	2.63789	−	3.30781i	0.0996318	−	0.124934i	0.829148	+	0.559029i	$0.188826\pi$
$702$	8.69418	+	10.9022i	0.328141	+	0.411475i
$703$	−2.59030	+	11.3489i	−0.0976951	+	0.428030i
$704$	16.1576	+	7.78111i	0.608964	+	0.293262i
$705$	−5.01089	−	2.41312i	−0.188721	−	0.0908832i
$706$	1.78232	+	7.80887i	0.0670786	+	0.293891i
$707$	−1.03846	+	0.500096i	−0.0390553	+	0.0188080i
$708$	−28.0737			−1.05507
$709$	−12.8872	+	6.20613i	−0.483987	+	0.233076i	−0.659934	−	0.751324i	$-0.729416\pi$
$709$	−12.8872	+	6.20613i	−0.483987	+	0.233076i	0.175946	+	0.984400i	$0.443701\pi$
$710$	1.40850	+	1.76621i	0.0528601	+	0.0662845i
$711$	4.20291	+	5.27028i	0.157621	+	0.197651i
$712$	8.65883	−	4.16987i	0.324504	−	0.156273i
$713$	−15.3642			−0.575393
$714$	−0.801938	+	0.386193i	−0.0300118	+	0.0144529i
$715$	4.29925	+	18.8362i	0.160783	+	0.704436i
$716$	5.52930	+	2.66277i	0.206640	+	0.0995125i
$717$	−28.7216	−	13.8316i	−1.07263	−	0.516551i
$718$	2.33997	−	10.2521i	0.0873269	−	0.382604i
$719$	−14.6151	−	18.3267i	−0.545050	−	0.683471i	0.430666	−	0.902511i	$-0.358279\pi$
$719$	−14.6151	−	18.3267i	−0.545050	−	0.683471i	−0.975716	+	0.219041i	$0.929707\pi$
$720$	−1.77748	+	2.22889i	−0.0662427	+	0.0830658i
$721$	1.08426	+	4.75046i	0.0403800	+	0.176916i
$722$	−1.33148	+	5.83359i	−0.0495525	+	0.217104i
$723$	−7.56584	+	9.48727i	−0.281377	+	0.352835i
$724$	−22.8388			−0.848796
$725$		0			0
$726$	7.43296			0.275863
$727$	32.4200	−	40.6534i	1.20239	−	1.50775i	0.393992	−	0.919114i	$-0.371094\pi$
$727$	32.4200	−	40.6534i	1.20239	−	1.50775i	0.808398	−	0.588636i	$-0.200335\pi$
$728$	0.759594	−	3.32800i	0.0281524	−	0.123344i
$729$	−5.44265	−	23.8458i	−0.201580	−	0.883178i
$730$	−1.08024	+	1.35458i	−0.0399817	+	0.0501354i
$731$	−9.54288	−	11.9664i	−0.352956	−	0.442593i
$732$	0.821552	−	3.59945i	0.0303654	−	0.133040i
$733$	−30.8044	−	14.8346i	−1.13779	−	0.547929i	−0.232443	−	0.972610i	$-0.574672\pi$
$733$	−30.8044	−	14.8346i	−1.13779	−	0.547929i	−0.905343	+	0.424681i	$0.860386\pi$
$734$	−11.8860	−	5.72398i	−0.438719	−	0.211276i
$735$	−1.31969	−	5.78195i	−0.0486776	−	0.213270i
$736$	9.62445	−	4.63489i	0.354762	−	0.170844i
$737$	−11.4735			−0.422632
$738$	−1.80194	+	0.867767i	−0.0663302	+	0.0319430i
$739$	24.7981	+	31.0958i	0.912211	+	1.14388i	0.989160	+	0.146842i	$0.0469107\pi$
$739$	24.7981	+	31.0958i	0.912211	+	1.14388i	−0.0769489	+	0.997035i	$0.524518\pi$
$740$	3.83997	+	4.81517i	0.141160	+	0.177009i
$741$	14.9683	−	7.20836i	0.549874	−	0.264806i
$742$	0.745251			0.0273590
$743$	−6.46734	+	3.11451i	−0.237264	+	0.114260i	−0.548738	−	0.835994i	$-0.684892\pi$
$743$	−6.46734	+	3.11451i	−0.237264	+	0.114260i	0.311474	+	0.950255i	$0.399177\pi$
$744$	−3.14191	−	13.7656i	−0.115188	−	0.504671i
$745$	−11.6012	−	5.58684i	−0.425035	−	0.204686i
$746$	−10.0996	−	4.86369i	−0.369771	−	0.178072i
$747$	1.43243	−	6.27588i	0.0524098	−	0.229622i
$748$	−24.9366	−	31.2695i	−0.911773	−	1.14333i
$749$	3.61476	−	4.53277i	0.132080	−	0.165624i
$750$	0.813651	+	3.56484i	0.0297103	+	0.130169i
$751$	6.04556	−	26.4874i	0.220606	−	0.966537i	−0.736418	−	0.676527i	$-0.763484\pi$
$751$	6.04556	−	26.4874i	0.220606	−	0.966537i	0.957024	−	0.290010i	$-0.0936587\pi$
$752$	−11.4559	+	14.3653i	−0.417755	+	0.523848i
$753$	12.1709			0.443533
$754$		0			0
$755$	−5.20941			−0.189590
$756$	−2.22252	+	2.78695i	−0.0808323	+	0.101361i
$757$	−5.27210	+	23.0986i	−0.191618	+	0.839533i	0.784123	+	0.620605i	$0.213113\pi$
$757$	−5.27210	+	23.0986i	−0.191618	+	0.839533i	−0.975741	+	0.218927i	$0.929744\pi$
$758$	−2.66464	−	11.6745i	−0.0967840	−	0.424038i
$759$	−8.81618	+	11.0551i	−0.320007	+	0.401276i
$760$	−1.72066	−	2.15764i	−0.0624149	−	0.0782658i
$761$	3.17187	−	13.8969i	0.114980	−	0.503762i	−0.884338	−	0.466847i	$-0.845390\pi$
$761$	3.17187	−	13.8969i	0.114980	−	0.503762i	0.999318	−	0.0369148i	$-0.0117530\pi$
$762$	0.518418	+	0.249657i	0.0187803	+	0.00904411i
$763$	−1.75786	−	0.846543i	−0.0636390	−	0.0306469i
$764$	−4.27844	−	18.7451i	−0.154788	−	0.678173i
$765$	4.04892	−	1.94986i	0.146389	−	0.0704972i
$766$	8.75361			0.316281
$767$	−63.6316	+	30.6434i	−2.29760	+	1.10647i
$768$	−1.86712	−	2.34129i	−0.0673738	−	0.0844841i
$769$	−27.8741	−	34.9530i	−1.00517	−	1.26044i	−0.965275	−	0.261235i	$-0.915870\pi$
$769$	−27.8741	−	34.9530i	−1.00517	−	1.26044i	−0.0398911	−	0.999204i	$-0.512701\pi$
$770$	0.489115	−	0.235545i	0.0176265	−	0.00848846i
$771$	−20.3967			−0.734570
$772$	36.9001	−	17.7701i	1.32806	−	0.639561i
$773$	−5.10656	−	22.3733i	−0.183670	−	0.804712i	−0.979863	−	0.199670i	$-0.936013\pi$
$773$	−5.10656	−	22.3733i	−0.183670	−	0.804712i	0.796193	−	0.605043i	$-0.206844\pi$
$774$	1.97339	+	0.950332i	0.0709319	+	0.0341590i
$775$	−27.2591	−	13.1273i	−0.979176	−	0.471547i
$776$	0.0679992	−	0.297924i	0.00244103	−	0.0106948i
$777$	1.37047	+	1.71851i	0.0491653	+	0.0616514i
$778$	−6.89679	+	8.64830i	−0.247262	+	0.310057i
$779$	1.63102	+	7.14598i	0.0584374	+	0.256031i
$780$	1.95593	−	8.56948i	0.0700334	−	0.306836i
$781$	−22.5879	+	28.3243i	−0.808259	+	1.01352i
$782$	−4.59179			−0.164202
$783$		0			0
$784$	−19.5929			−0.699745
$785$	−7.86964	+	9.86822i	−0.280880	+	0.352212i
$786$	−0.990607	+	4.34013i	−0.0353338	+	0.154807i
$787$	−3.18933	−	13.9734i	−0.113687	−	0.498097i	−0.999425	−	0.0339106i	$-0.989204\pi$
$787$	−3.18933	−	13.9734i	−0.113687	−	0.498097i	0.885737	−	0.464187i	$-0.153653\pi$
$788$	21.9731	−	27.5535i	0.782761	−	0.981551i
$789$	−18.4445	−	23.1287i	−0.656642	−	0.823403i
$790$	−0.319692	+	1.40066i	−0.0113741	+	0.0498333i
$791$	3.43243	+	1.65297i	0.122043	+	0.0587729i
$792$	10.8802	+	5.23961i	0.386610	+	0.186181i
$793$	−2.06680	−	9.05525i	−0.0733943	−	0.321562i
$794$	−1.60172	+	0.771347i	−0.0568429	+	0.0273741i
$795$	4.04892			0.143600
$796$	−1.42058	+	0.684117i	−0.0503512	+	0.0242479i
$797$	6.35540	+	7.96942i	0.225120	+	0.282291i	0.881545	−	0.472100i	$-0.156504\pi$
$797$	6.35540	+	7.96942i	0.225120	+	0.282291i	−0.656425	+	0.754391i	$0.727932\pi$
$798$	−0.291053	−	0.364968i	−0.0103032	−	0.0129197i
$799$	26.0954	−	12.5669i	0.923190	−	0.444585i
$800$	21.0358			0.743727
$801$	−7.39493	+	3.56121i	−0.261287	+	0.125829i
$802$	−2.46658	−	10.8068i	−0.0870978	−	0.381600i
$803$	−25.0335	−	12.0555i	−0.883412	−	0.425429i
$804$	4.70291	+	2.26480i	0.165859	+	0.0798734i
$805$	−0.126178	+	0.552823i	−0.00444720	+	0.0194844i
$806$	−10.4966	−	13.1624i	−0.369729	−	0.463625i
$807$	−19.7126	+	24.7188i	−0.693916	+	0.870143i
$808$	−1.21595	−	5.32741i	−0.0427769	−	0.187418i
$809$	−1.99665	+	8.74788i	−0.0701984	+	0.307559i	−0.997823	−	0.0659557i	$-0.978990\pi$
$809$	−1.99665	+	8.74788i	−0.0701984	+	0.307559i	0.927624	+	0.373515i	$0.121848\pi$
$810$	0.494787	−	0.620443i	0.0173850	−	0.0218002i
$811$	−28.5628			−1.00298			−0.501489	−	0.865164i	$-0.667214\pi$
$811$	−28.5628			−1.00298			−0.501489	+	0.865164i	$0.667214\pi$
$812$		0			0
$813$	1.50066			0.0526306
$814$	6.76875	−	8.48774i	0.237245	−	0.297495i
$815$	−1.94653	+	8.52832i	−0.0681841	+	0.298734i
$816$	3.55496	+	15.5753i	0.124448	+	0.545244i
$817$	5.00484	−	6.27588i	0.175097	−	0.219565i
$818$	−0.0785888	−	0.0985473i	−0.00274779	−	0.00344562i
$819$	−0.648718	+	2.84222i	−0.0226680	+	0.0993152i
$820$	3.49396	+	1.68260i	0.122014	+	0.0587590i
$821$	−10.2126	−	4.91813i	−0.356422	−	0.171644i	0.247100	−	0.968990i	$-0.420522\pi$
$821$	−10.2126	−	4.91813i	−0.356422	−	0.171644i	−0.603522	+	0.797346i	$0.706237\pi$
$822$	−2.12804	−	9.32355i	−0.0742239	−	0.325196i
$823$	−5.11045	+	2.46106i	−0.178139	+	0.0857872i	−0.520828	−	0.853662i	$-0.674377\pi$
$823$	−5.11045	+	2.46106i	−0.178139	+	0.0857872i	0.342689	+	0.939449i	$0.388662\pi$
$824$	−23.1008			−0.804755
$825$	−25.0872	+	12.0814i	−0.873426	+	0.420620i
$826$	1.23729	+	1.55151i	0.0430509	+	0.0539841i
$827$	−1.81013	−	2.26984i	−0.0629445	−	0.0789300i	0.749363	−	0.662160i	$-0.230360\pi$
$827$	−1.81013	−	2.26984i	−0.0629445	−	0.0789300i	−0.812307	+	0.583230i	$0.801789\pi$
$828$	−5.38620	+	2.59386i	−0.187183	+	0.0901428i
$829$	−45.2137			−1.57034			−0.785169	−	0.619282i	$-0.787424\pi$
$829$	−45.2137			−1.57034			−0.785169	+	0.619282i	$0.787424\pi$
$830$	1.23609	−	0.595272i	0.0429055	−	0.0206622i
$831$	2.95928	+	12.9655i	0.102656	+	0.449766i
$832$	−18.4928	−	8.90565i	−0.641121	−	0.308748i
$833$	27.8267	+	13.4006i	0.964138	+	0.464304i
$834$	2.05831	−	9.01805i	0.0712735	−	0.312269i
$835$	−0.343691	−	0.430975i	−0.0118939	−	0.0149145i
$836$	13.0782	−	16.3996i	0.452320	−	0.567191i
$837$	8.25398	+	36.1630i	0.285299	+	1.24998i
$838$	−2.62319	+	11.4930i	−0.0906167	+	0.397018i
$839$	−28.4471	+	35.6716i	−0.982104	+	1.23152i	−0.00928374	+	0.999957i	$0.502955\pi$
$839$	−28.4471	+	35.6716i	−0.982104	+	1.23152i	−0.972820	+	0.231562i	$0.925616\pi$
$840$	−0.521106			−0.0179799
$841$		0			0
$842$	7.82477			0.269659
$843$	12.6570	−	15.8713i	0.435929	−	0.546638i
$844$	−7.32520	+	32.0938i	−0.252144	+	1.10471i
$845$	−2.91872	−	12.7878i	−0.100407	−	0.439912i
$846$	−2.58426	+	3.24056i	−0.0888487	+	0.111413i
$847$	2.98039	+	3.73729i	0.102407	+	0.128415i
$848$	2.97650	−	13.0409i	0.102213	−	0.447826i
$849$	−5.89493	−	2.83885i	−0.202313	−	0.0974290i
$850$	−8.14675	−	3.92327i	−0.279431	−	0.134567i
$851$	2.52326	+	11.0551i	0.0864963	+	0.378965i
$852$	14.8497	−	7.15122i	0.508741	−	0.244997i
$853$	−36.9288			−1.26442			−0.632210	−	0.774797i	$-0.717852\pi$
$853$	−36.9288			−1.26442			−0.632210	+	0.774797i	$0.717852\pi$
$854$	−0.235135	+	0.113235i	−0.00804615	+	0.00387482i
$855$	1.46950	+	1.84270i	0.0502559	+	0.0630189i
$856$	17.1374	+	21.4896i	0.585743	+	0.734498i
$857$	−32.0296	+	15.4246i	−1.09411	+	0.526896i	−0.891802	−	0.452426i	$-0.850559\pi$
$857$	−32.0296	+	15.4246i	−1.09411	+	0.526896i	−0.202308	+	0.979322i	$0.564844\pi$
$858$	−15.4940			−0.528955
$859$	−38.1841	+	18.3885i	−1.30283	+	0.627408i	−0.951154	−	0.308716i	$-0.900101\pi$
$859$	−38.1841	+	18.3885i	−1.30283	+	0.627408i	−0.351671	+	0.936124i	$0.614386\pi$
$860$	−0.945042	−	4.14050i	−0.0322257	−	0.141190i
$861$	1.24698	+	0.600514i	0.0424970	+	0.0204655i
$862$	−11.1450	−	5.36716i	−0.379601	−	0.182806i
$863$	−11.0770	+	48.5316i	−0.377066	+	1.65204i	0.329327	+	0.944216i	$0.393178\pi$
$863$	−11.0770	+	48.5316i	−0.377066	+	1.65204i	−0.706393	+	0.707819i	$0.749679\pi$
$864$	−16.0797	−	20.1633i	−0.547043	−	0.685970i
$865$	−3.94943	+	4.95242i	−0.134285	+	0.168387i
$866$	0.581868	+	2.54933i	0.0197727	+	0.0866298i
$867$	0.886731	−	3.88502i	0.0301150	−	0.131942i
$868$	2.68329	−	3.36474i	0.0910769	−	0.114207i
$869$	−23.0398			−0.781572
$870$		0			0
$871$	13.1317			0.444950
$872$	5.76726	−	7.23191i	0.195304	−	0.244903i
$873$	−0.0580735	+	0.254437i	−0.00196549	+	0.00861138i
$874$	−0.535876	−	2.34783i	−0.0181263	−	0.0794164i
$875$	−1.46615	+	1.83849i	−0.0495649	+	0.0621524i
$876$	7.88135	+	9.88291i	0.266286	+	0.333912i
$877$	−4.87167	+	21.3442i	−0.164504	+	0.720741i	0.823627	+	0.567132i	$0.191947\pi$
$877$	−4.87167	+	21.3442i	−0.164504	+	0.720741i	−0.988132	+	0.153610i	$0.950910\pi$
$878$	−6.31163	−	3.03952i	−0.213007	−	0.102579i
$879$	7.59903	+	3.65950i	0.256309	+	0.123432i
$880$	−2.16823	−	9.49962i	−0.0730909	−	0.320232i
$881$	30.2102	−	14.5485i	1.01781	−	0.490150i	0.150863	−	0.988555i	$-0.451795\pi$
$881$	30.2102	−	14.5485i	1.01781	−	0.490150i	0.866945	+	0.498404i	$0.166081\pi$
$882$	−4.41981			−0.148823
$883$	14.5303	−	6.99741i	0.488982	−	0.235481i	−0.173112	−	0.984902i	$-0.555382\pi$
$883$	14.5303	−	6.99741i	0.488982	−	0.235481i	0.662094	+	0.749421i	$0.269668\pi$
$884$	28.5405	+	35.7886i	0.959920	+	1.20370i
$885$	6.72215	+	8.42931i	0.225963	+	0.283348i
$886$	2.70195	−	1.30119i	0.0907737	−	0.0437143i
$887$	52.7391			1.77081			0.885403	−	0.464823i	$-0.153882\pi$
$887$	52.7391			1.77081			0.885403	+	0.464823i	$0.153882\pi$
$888$	−9.38889	+	4.52145i	−0.315070	+	0.151730i
$889$	0.0823422	+	0.360765i	0.00276167	+	0.0120997i
$890$	−1.57606	−	0.758993i	−0.0528298	−	0.0254415i
$891$	11.4661	+	5.52181i	0.384130	+	0.184987i
$892$	−0.729094	+	3.19437i	−0.0244119	+	0.106955i
$893$	9.47099	+	11.8762i	0.316935	+	0.397424i
$894$	6.43817	−	8.07321i	0.215325	−	0.270009i
$895$	−0.524459	−	2.29780i	−0.0175307	−	0.0768071i
$896$	−0.867354	+	3.80013i	−0.0289763	+	0.126953i
$897$	10.0903	−	12.6528i	0.336905	−	0.422466i
$898$	−5.48294			−0.182968
$899$		0			0
$900$	−11.7724			−0.392413
$901$	−13.1468	+	16.4855i	−0.437982	+	0.549212i
$902$	1.52111	−	6.66440i	0.0506473	−	0.221900i
$903$	−0.337282	−	1.47773i	−0.0112240	−	0.0491757i
$904$	−11.2612	+	14.1211i	−0.374543	+	0.469661i
$905$	5.46867	+	6.85750i	0.181785	+	0.227951i
$906$	0.929608	−	4.07288i	0.0308842	−	0.135312i
$907$	26.8882	+	12.9487i	0.892809	+	0.429954i	0.823286	−	0.567626i	$-0.192138\pi$
$907$	26.8882	+	12.9487i	0.892809	+	0.429954i	0.0695225	+	0.997580i	$0.477852\pi$
$908$	−22.4955	−	10.8332i	−0.746538	−	0.359514i
$909$	1.03846	+	4.54979i	0.0344435	+	0.150907i
$910$	−0.559802	+	0.269587i	−0.0185573	+	0.00893671i
$911$	−9.34050			−0.309465			−0.154732	−	0.987956i	$-0.549452\pi$
$911$	−9.34050			−0.309465			−0.154732	+	0.987956i	$0.549452\pi$
$912$	−7.54892	+	3.63537i	−0.249970	+	0.120379i
$913$	13.7180	+	17.2018i	0.453999	+	0.569296i
$914$	−3.79105	−	4.75383i	−0.125397	−	0.157243i
$915$	−1.27748	+	0.615201i	−0.0422322	+	0.0203379i
$916$	23.0151			0.760439
$917$	−2.57942	+	1.24218i	−0.0851798	+	0.0410205i
$918$	2.46681	+	10.8078i	0.0814169	+	0.356711i
$919$	16.5966	+	7.99252i	0.547473	+	0.263649i	0.687110	−	0.726554i	$-0.258879\pi$
$919$	16.5966	+	7.99252i	0.547473	+	0.263649i	−0.139637	+	0.990203i	$0.544594\pi$
$920$	−2.42208	−	1.16641i	−0.0798535	−	0.0384554i
$921$	1.25368	−	5.49275i	0.0413103	−	0.180992i
$922$	−3.22103	−	4.03904i	−0.106079	−	0.133019i
$923$	25.8523	−	32.4178i	0.850940	−	1.06705i
$924$	−0.881355	−	3.86147i	−0.0289944	−	0.127033i
$925$	−4.96884	+	21.7699i	−0.163374	+	0.715790i
$926$	2.00969	−	2.52007i	0.0660425	−	0.0828146i
$927$	19.7289			0.647981
$928$		0			0
$929$	−4.84654			−0.159010			−0.0795050	−	0.996834i	$-0.525334\pi$
$929$	−4.84654			−0.159010			−0.0795050	+	0.996834i	$0.525334\pi$
$930$	−1.60238	+	2.00933i	−0.0525442	+	0.0658884i
$931$	−3.60441	+	15.7919i	−0.118130	+	0.517560i
$932$	−3.55496	−	15.5753i	−0.116447	−	0.510186i
$933$	9.80910	−	12.3002i	0.321136	−	0.402691i
$934$	0.572548	+	0.717953i	0.0187343	+	0.0234921i
$935$	−3.41789	+	14.9748i	−0.111777	+	0.489728i
$936$	−12.4526	−	5.99684i	−0.407025	−	0.196013i
$937$	40.2863	+	19.4008i	1.31609	+	0.633798i	0.954409	−	0.298502i	$-0.0964870\pi$
$937$	40.2863	+	19.4008i	1.31609	+	0.633798i	0.361686	+	0.932300i	$0.382201\pi$
$938$	−0.0821052	−	0.359726i	−0.00268083	−	0.0117455i
$939$	21.6163	−	10.4098i	0.705420	−	0.339712i
$940$	8.03684			0.262133
$941$	−12.2397	+	5.89435i	−0.399004	+	0.192150i	−0.622615	−	0.782528i	$-0.713930\pi$
$941$	−12.2397	+	5.89435i	−0.399004	+	0.192150i	0.223611	+	0.974678i	$0.428215\pi$
$942$	−6.31096	−	7.91370i	−0.205622	−	0.257842i
$943$	4.45175	+	5.58231i	0.144969	+	0.181785i
$944$	32.0911	−	15.4543i	1.04448	−	0.502994i
$945$	1.36898			0.0445328
$946$	−6.74482	+	3.24814i	−0.219293	+	0.105606i
$947$	−3.34040	−	14.6352i	−0.108548	−	0.475581i	−0.999758	−	0.0219901i	$-0.993000\pi$
$947$	−3.34040	−	14.6352i	−0.108548	−	0.475581i	0.891210	−	0.453591i	$-0.149857\pi$
$948$	9.44385	+	4.54792i	0.306722	+	0.147709i
$949$	28.6514	+	13.7978i	0.930062	+	0.447894i
$950$	1.05525	−	4.62337i	0.0342369	−	0.150002i
$951$	−2.23005	−	2.79640i	−0.0723144	−	0.0906794i
$952$	1.69202	−	2.12173i	0.0548387	−	0.0687656i
$953$	−11.5365	−	50.5449i	−0.373705	−	1.63731i	−0.716276	−	0.697817i	$-0.754155\pi$
$953$	−11.5365	−	50.5449i	−0.373705	−	1.63731i	0.342571	−	0.939492i	$-0.388702\pi$
$954$	0.671448	−	2.94180i	0.0217389	−	0.0952444i
$955$	−4.60388	+	5.77308i	−0.148978	+	0.186812i
$956$	46.0659			1.48988
$957$		0			0
$958$	1.73078			0.0559188
$959$	3.83459	−	4.80843i	0.123825	−	0.155272i
$960$	−0.697234	+	3.05478i	−0.0225031	+	0.0985927i
$961$	−3.06704	−	13.4376i	−0.0989368	−	0.433470i
$962$	−7.74698	+	9.71441i	−0.249773	+	0.313205i
$963$	−14.6359	−	18.3528i	−0.471634	−	0.591411i
$964$	3.90193	−	17.0955i	0.125673	−	0.550608i
$965$	−14.1712	−	6.82450i	−0.456187	−	0.219688i
$966$	−0.409698	−	0.197300i	−0.0131818	−	0.00634803i
$967$	9.26241	+	40.5813i	0.297859	+	1.30501i	0.873308	+	0.487168i	$0.161970\pi$
$967$	9.26241	+	40.5813i	0.297859	+	1.30501i	−0.575449	+	0.817838i	$0.695173\pi$
$968$	−20.4182	+	9.83288i	−0.656265	+	0.316041i
$969$	13.2078			0.424294
$970$	−0.0501138	+	0.0241335i	−0.00160906	+	0.000774881i
$971$	−34.7739	−	43.6051i	−1.11595	−	1.39935i	−0.906847	−	0.421459i	$-0.861518\pi$
$971$	−34.7739	−	43.6051i	−1.11595	−	1.39935i	−0.209100	−	0.977894i	$-0.567053\pi$
$972$	15.0722	+	18.8999i	0.483440	+	0.606215i
$973$	5.35958	−	2.58104i	0.171820	−	0.0827443i
$974$	−4.38165			−0.140397
$975$	28.7129	−	13.8274i	0.919548	−	0.442831i
$976$	1.04234	+	4.56681i	0.0333646	+	0.146180i
$977$	−44.1100	−	21.2422i	−1.41120	−	0.679600i	−0.435803	−	0.900042i	$-0.643536\pi$
$977$	−44.1100	−	21.2422i	−1.41120	−	0.679600i	−0.975400	+	0.220442i	$0.929250\pi$
$978$	−6.32036	−	3.04372i	−0.202103	−	0.0973275i
$979$	6.24243	−	27.3499i	0.199509	−	0.874106i
$980$	5.34332	+	6.70031i	0.170686	+	0.214034i
$981$	−4.92543	+	6.17629i	−0.157257	+	0.197194i
$982$	0.771570	+	3.38047i	0.0246218	+	0.107875i
$983$	−1.15117	+	5.04360i	−0.0367166	+	0.160866i	−0.989963	−	0.141329i	$-0.954862\pi$
$983$	−1.15117	+	5.04360i	−0.0367166	+	0.160866i	0.953246	+	0.302195i	$0.0977195\pi$
$984$	−4.09113	+	5.13011i	−0.130420	+	0.163542i
$985$	−13.5345			−0.431246
$986$		0			0
$987$	2.86831			0.0912994
$988$	−14.9683	+	18.7697i	−0.476205	+	0.597142i
$989$	1.73998	−	7.62335i	0.0553281	−	0.242408i
$990$	−0.489115	−	2.14295i	−0.0155451	−	0.0681075i
$991$	−10.5075	+	13.1760i	−0.333783	+	0.418550i	−0.920194	−	0.391463i	$-0.871969\pi$
$991$	−10.5075	+	13.1760i	−0.333783	+	0.418550i	0.586411	+	0.810014i	$0.300540\pi$
$992$	19.4133	+	24.3436i	0.616374	+	0.772909i
$993$	0.869641	−	3.81015i	0.0275972	−	0.120911i
$994$	−1.04969	−	0.505503i	−0.0332940	−	0.0160336i
$995$	0.545565	+	0.262730i	0.0172956	+	0.00832911i
$996$	−2.22737	−	9.75872i	−0.0705768	−	0.309217i
$997$	−34.4257	+	16.5786i	−1.09027	+	0.525048i	−0.890588	−	0.454812i	$-0.849707\pi$
$997$	−34.4257	+	16.5786i	−1.09027	+	0.525048i	−0.199686	+	0.979860i	$0.563992\pi$
$998$	9.15239			0.289714
$999$	24.6652	−	11.8781i	0.780371	−	0.375807i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	841.2.d.b.574.1		6
29.2	odd	28		841.2.e.c.63.1		12
29.3	odd	28		841.2.e.b.236.1		12
29.4	even	14		841.2.d.d.571.1		6
29.5	even	14		841.2.d.c.778.1		6
29.6	even	14		841.2.d.d.190.1		6
29.7	even	7		841.2.d.e.605.1		6
29.8	odd	28		841.2.e.b.196.1		12
29.9	even	14		841.2.d.a.645.1		6
29.10	odd	28		841.2.e.d.270.2		12
29.11	odd	28		841.2.b.c.840.4		6
29.12	odd	4		841.2.e.c.267.1		12
29.13	even	14		841.2.a.f.1.2		3
29.14	odd	28		841.2.e.d.651.2		12
29.15	odd	28		841.2.e.d.651.1		12
29.16	even	7		841.2.a.e.1.2		3
29.17	odd	4		841.2.e.c.267.2		12
29.18	odd	28		841.2.b.c.840.3		6
29.19	odd	28		841.2.e.d.270.1		12
29.20	even	7		841.2.d.e.645.1		6
29.21	odd	28		841.2.e.b.196.2		12
29.22	even	14		841.2.d.a.605.1		6
29.23	even	7		29.2.d.a.16.1	✓	6
29.24	even	7	inner	841.2.d.b.778.1		6
29.25	even	7		29.2.d.a.20.1	yes	6
29.26	odd	28		841.2.e.b.236.2		12
29.27	odd	28		841.2.e.c.63.2		12
29.28	even	2		841.2.d.c.574.1		6
87.23	odd	14		261.2.k.a.190.1		6
87.71	odd	14		7569.2.a.p.1.2		3
87.74	odd	14		7569.2.a.r.1.2		3
87.83	odd	14		261.2.k.a.136.1		6
116.23	odd	14		464.2.u.f.161.1		6
116.83	odd	14		464.2.u.f.49.1		6
145.23	odd	28		725.2.r.b.74.2		12
145.52	odd	28		725.2.r.b.74.1		12
145.54	even	14		725.2.l.b.426.1		6
145.83	odd	28		725.2.r.b.49.1		12
145.112	odd	28		725.2.r.b.49.2		12
145.139	even	14		725.2.l.b.451.1		6

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
29.2.d.a.16.1	✓	6	29.23	even	7
29.2.d.a.20.1	yes	6	29.25	even	7
261.2.k.a.136.1		6	87.83	odd	14
261.2.k.a.190.1		6	87.23	odd	14
464.2.u.f.49.1		6	116.83	odd	14
464.2.u.f.161.1		6	116.23	odd	14
725.2.l.b.426.1		6	145.54	even	14
725.2.l.b.451.1		6	145.139	even	14
725.2.r.b.49.1		12	145.83	odd	28
725.2.r.b.49.2		12	145.112	odd	28
725.2.r.b.74.1		12	145.52	odd	28
725.2.r.b.74.2		12	145.23	odd	28
841.2.a.e.1.2		3	29.16	even	7
841.2.a.f.1.2		3	29.13	even	14
841.2.b.c.840.3		6	29.18	odd	28
841.2.b.c.840.4		6	29.11	odd	28
841.2.d.a.605.1		6	29.22	even	14
841.2.d.a.645.1		6	29.9	even	14
841.2.d.b.574.1		6	1.1	even	1	trivial
841.2.d.b.778.1		6	29.24	even	7	inner
841.2.d.c.574.1		6	29.28	even	2
841.2.d.c.778.1		6	29.5	even	14
841.2.d.d.190.1		6	29.6	even	14
841.2.d.d.571.1		6	29.4	even	14
841.2.d.e.605.1		6	29.7	even	7
841.2.d.e.645.1		6	29.20	even	7
841.2.e.b.196.1		12	29.8	odd	28
841.2.e.b.196.2		12	29.21	odd	28
841.2.e.b.236.1		12	29.3	odd	28
841.2.e.b.236.2		12	29.26	odd	28
841.2.e.c.63.1		12	29.2	odd	28
841.2.e.c.63.2		12	29.27	odd	28
841.2.e.c.267.1		12	29.12	odd	4
841.2.e.c.267.2		12	29.17	odd	4
841.2.e.d.270.1		12	29.19	odd	28
841.2.e.d.270.2		12	29.10	odd	28
841.2.e.d.651.1		12	29.15	odd	28
841.2.e.d.651.2		12	29.14	odd	28
7569.2.a.p.1.2		3	87.71	odd	14
7569.2.a.r.1.2		3	87.74	odd	14

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:	\( N \)	\(=\)	\( 841 = 29^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	841.d (of order \(7\), degree \(6\), not minimal)

\(f(q)\)	\(=\)	\(q+(-0.277479 + 0.347948i) q^{2} +(0.277479 - 1.21572i) q^{3} +(0.400969 + 1.75676i) q^{4} +(0.431468 - 0.541044i) q^{5} +(0.346011 + 0.433884i) q^{6} +(-0.0794168 + 0.347948i) q^{7} +(-1.52446 - 0.734141i) q^{8} +(1.30194 + 0.626980i) q^{9} +O(q^{10})\)	\(q+(-0.277479 + 0.347948i) q^{2} +(0.277479 - 1.21572i) q^{3} +(0.400969 + 1.75676i) q^{4} +(0.431468 - 0.541044i) q^{5} +(0.346011 + 0.433884i) q^{6} +(-0.0794168 + 0.347948i) q^{7} +(-1.52446 - 0.734141i) q^{8} +(1.30194 + 0.626980i) q^{9} +(0.0685317 + 0.300257i) q^{10} +(-4.44989 + 2.14295i) q^{11} +2.24698 q^{12} +(5.09299 - 2.45265i) q^{13} +(-0.0990311 - 0.124181i) q^{14} +(-0.538032 - 0.674671i) q^{15} +(-2.56853 + 1.23694i) q^{16} +4.49396 q^{17} +(-0.579417 + 0.279032i) q^{18} +(0.524459 + 2.29780i) q^{19} +(1.12349 + 0.541044i) q^{20} +(0.400969 + 0.193096i) q^{21} +(0.489115 - 2.14295i) q^{22} +(1.43147 + 1.79500i) q^{23} +(-1.31551 + 1.64960i) q^{24} +(1.00604 + 4.40775i) q^{25} +(-0.559802 + 2.45265i) q^{26} +(3.45593 - 4.33360i) q^{27} -0.643104 q^{28} +0.384043 q^{30} +(-4.17241 + 5.23203i) q^{31} +(1.03534 - 4.53614i) q^{32} +(1.37047 + 6.00442i) q^{33} +(-1.24698 + 1.56366i) q^{34} +(0.153989 + 0.193096i) q^{35} +(-0.579417 + 2.53859i) q^{36} +(4.44989 + 2.14295i) q^{37} +(-0.945042 - 0.455108i) q^{38} +(-1.56853 - 6.87219i) q^{39} +(-1.05496 + 0.508041i) q^{40} +3.10992 q^{41} +(-0.178448 + 0.0859360i) q^{42} +(-2.12349 - 2.66277i) q^{43} +(-5.54892 - 6.95812i) q^{44} +(0.900969 - 0.433884i) q^{45} -1.02177 q^{46} +(5.80678 - 2.79640i) q^{47} +(0.791053 + 3.46583i) q^{48} +(6.19202 + 2.98192i) q^{49} +(-1.81282 - 0.873009i) q^{50} +(1.24698 - 5.46337i) q^{51} +(6.35086 + 7.96372i) q^{52} +(-2.92543 + 3.66837i) q^{53} +(0.548917 + 2.40496i) q^{54} +(-0.760553 + 3.33220i) q^{55} +(0.376510 - 0.472129i) q^{56} +2.93900 q^{57} -12.4940 q^{59} +(0.969501 - 1.21572i) q^{60} +(0.365625 - 1.60191i) q^{61} +(-0.662718 - 2.90356i) q^{62} +(-0.321552 + 0.403214i) q^{63} +(-2.26391 - 2.83885i) q^{64} +(0.870469 - 3.81378i) q^{65} +(-2.46950 - 1.18925i) q^{66} +(2.09299 + 1.00793i) q^{67} +(1.80194 + 7.89481i) q^{68} +(2.57942 - 1.24218i) q^{69} -0.109916 q^{70} +(6.60872 - 3.18259i) q^{71} +(-1.52446 - 1.91161i) q^{72} +(3.50753 + 4.39831i) q^{73} +(-1.98039 + 0.953703i) q^{74} +5.63773 q^{75} +(-3.82640 + 1.84270i) q^{76} +(-0.392240 - 1.71851i) q^{77} +(2.82640 + 1.36112i) q^{78} +(4.20291 + 2.02401i) q^{79} +(-0.439001 + 1.92339i) q^{80} +(-1.60656 - 2.01457i) q^{81} +(-0.862937 + 1.08209i) q^{82} +(-0.991271 - 4.34304i) q^{83} +(-0.178448 + 0.781831i) q^{84} +(1.93900 - 2.43143i) q^{85} +1.51573 q^{86} +8.35690 q^{88} +(-3.54138 + 4.44076i) q^{89} +(-0.0990311 + 0.433884i) q^{90} +(0.448927 + 1.96688i) q^{91} +(-2.57942 + 3.23449i) q^{92} +(5.20291 + 6.52424i) q^{93} +(-0.638260 + 2.79640i) q^{94} +(1.46950 + 0.707674i) q^{95} +(-5.22737 - 2.51737i) q^{96} +(0.0401881 + 0.176076i) q^{97} +(-2.75571 + 1.32708i) q^{98} -7.13706 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 6 q - 2 q^{2} + 2 q^{3} - 2 q^{4} + 8 q^{5} - 3 q^{6} + 8 q^{7} - q^{9}+O(q^{10}) \) 6 * q - 2 * q^2 + 2 * q^3 - 2 * q^4 + 8 * q^5 - 3 * q^6 + 8 * q^7 - q^9	\( 6 q - 2 q^{2} + 2 q^{3} - 2 q^{4} + 8 q^{5} - 3 q^{6} + 8 q^{7} - q^{9} - 5 q^{10} - 4 q^{11} + 4 q^{12} + 16 q^{13} - 5 q^{14} + 12 q^{15} - 10 q^{16} + 8 q^{17} + 5 q^{18} - 6 q^{19} + 2 q^{20} - 2 q^{21} + 6 q^{22} + 14 q^{23} + 7 q^{24} + 25 q^{25} + 18 q^{26} + 17 q^{27} - 12 q^{28} - 18 q^{30} - 2 q^{31} - 6 q^{32} - 6 q^{33} + 2 q^{34} + 6 q^{35} + 5 q^{36} + 4 q^{37} - 5 q^{38} - 4 q^{39} - 7 q^{40} + 20 q^{41} + 3 q^{42} - 8 q^{43} - 15 q^{44} + q^{45} + 4 q^{47} - q^{48} + 27 q^{49} + q^{50} - 2 q^{51} + 11 q^{52} - 4 q^{53} - 15 q^{54} + 11 q^{55} + 7 q^{56} - 2 q^{57} - 56 q^{59} - 4 q^{60} + 10 q^{61} - 25 q^{62} - 6 q^{63} - 20 q^{64} - 9 q^{65} - 5 q^{66} - 2 q^{67} + 2 q^{68} + 7 q^{69} - 2 q^{70} - 4 q^{73} + q^{74} + 48 q^{75} - 5 q^{76} + 18 q^{77} - q^{78} + 12 q^{79} + 17 q^{80} + 11 q^{81} - 16 q^{82} + 10 q^{83} + 3 q^{84} - 8 q^{85} - 16 q^{86} + 42 q^{88} - 28 q^{89} - 5 q^{90} + 40 q^{91} - 7 q^{92} + 18 q^{93} - 34 q^{94} - q^{95} - 9 q^{96} - 34 q^{97} - 23 q^{98} - 32 q^{99}+O(q^{100}) \) 6 * q - 2 * q^2 + 2 * q^3 - 2 * q^4 + 8 * q^5 - 3 * q^6 + 8 * q^7 - q^9 - 5 * q^10 - 4 * q^11 + 4 * q^12 + 16 * q^13 - 5 * q^14 + 12 * q^15 - 10 * q^16 + 8 * q^17 + 5 * q^18 - 6 * q^19 + 2 * q^20 - 2 * q^21 + 6 * q^22 + 14 * q^23 + 7 * q^24 + 25 * q^25 + 18 * q^26 + 17 * q^27 - 12 * q^28 - 18 * q^30 - 2 * q^31 - 6 * q^32 - 6 * q^33 + 2 * q^34 + 6 * q^35 + 5 * q^36 + 4 * q^37 - 5 * q^38 - 4 * q^39 - 7 * q^40 + 20 * q^41 + 3 * q^42 - 8 * q^43 - 15 * q^44 + q^45 + 4 * q^47 - q^48 + 27 * q^49 + q^50 - 2 * q^51 + 11 * q^52 - 4 * q^53 - 15 * q^54 + 11 * q^55 + 7 * q^56 - 2 * q^57 - 56 * q^59 - 4 * q^60 + 10 * q^61 - 25 * q^62 - 6 * q^63 - 20 * q^64 - 9 * q^65 - 5 * q^66 - 2 * q^67 + 2 * q^68 + 7 * q^69 - 2 * q^70 - 4 * q^73 + q^74 + 48 * q^75 - 5 * q^76 + 18 * q^77 - q^78 + 12 * q^79 + 17 * q^80 + 11 * q^81 - 16 * q^82 + 10 * q^83 + 3 * q^84 - 8 * q^85 - 16 * q^86 + 42 * q^88 - 28 * q^89 - 5 * q^90 + 40 * q^91 - 7 * q^92 + 18 * q^93 - 34 * q^94 - q^95 - 9 * q^96 - 34 * q^97 - 23 * q^98 - 32 * q^99

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