LMFDB - Embedded newform 637.2.w.a.92.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [637,2,Mod(92,637)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(637, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([2, 0]))

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

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

chi := DirichletCharacter("637.92");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 637 = 7^{2} \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	637.w (of order $7$, degree $6$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$5.08647060876$
Analytic rank:	$0$
Dimension:	$162$
Relative dimension:	$27$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			92.2
Character	$\chi$	$=$	637.92
Dual form			637.2.w.a.547.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.60516 + 2.01281i) q^{2} +(-2.57103 - 1.23814i) q^{3} +(-1.02981 - 4.51189i) q^{4} +(-1.31474 - 0.633146i) q^{5} +(6.61905 - 3.18757i) q^{6} +(-0.0925892 + 2.64413i) q^{7} +(6.09552 + 2.93545i) q^{8} +(3.20673 + 4.02111i) q^{9} +O(q^{10})$	\(q+(-1.60516 + 2.01281i) q^{2} +(-2.57103 - 1.23814i) q^{3} +(-1.02981 - 4.51189i) q^{4} +(-1.31474 - 0.633146i) q^{5} +(6.61905 - 3.18757i) q^{6} +(-0.0925892 + 2.64413i) q^{7} +(6.09552 + 2.93545i) q^{8} +(3.20673 + 4.02111i) q^{9} +(3.38477 - 1.63002i) q^{10} +(1.54075 - 1.93204i) q^{11} +(-2.93869 + 12.8752i) q^{12} +(-0.623490 + 0.781831i) q^{13} +(-5.17350 - 4.43061i) q^{14} +(2.59631 + 3.25567i) q^{15} +(-7.35353 + 3.54127i) q^{16} +(-1.13842 + 4.98776i) q^{17} -13.2410 q^{18} -4.00354 q^{19} +(-1.50275 + 6.58399i) q^{20} +(3.51186 - 6.68350i) q^{21} +(1.41567 + 6.20246i) q^{22} +(1.68113 + 7.36553i) q^{23} +(-12.0373 - 15.0942i) q^{24} +(-1.78978 - 2.24431i) q^{25} +(-0.572875 - 2.50993i) q^{26} +(-1.36091 - 5.96253i) q^{27} +(12.0254 - 2.30520i) q^{28} +(0.222654 - 0.975511i) q^{29} -10.7205 q^{30} +7.12467 q^{31} +(1.66475 - 7.29376i) q^{32} +(-6.35346 + 3.05966i) q^{33} +(-8.21204 - 10.2976i) q^{34} +(1.79585 - 3.41773i) q^{35} +(14.8405 - 18.6094i) q^{36} +(2.09381 - 9.17359i) q^{37} +(6.42631 - 8.05834i) q^{38} +(2.57103 - 1.23814i) q^{39} +(-6.15546 - 7.71870i) q^{40} +(-0.980644 - 0.472253i) q^{41} +(7.81549 + 17.7968i) q^{42} +(2.34329 - 1.12847i) q^{43} +(-10.3038 - 4.96206i) q^{44} +(-1.67007 - 7.31704i) q^{45} +(-17.5239 - 8.43904i) q^{46} +(3.91585 - 4.91032i) q^{47} +23.2907 q^{48} +(-6.98285 - 0.489636i) q^{49} +7.39024 q^{50} +(9.10247 - 11.4141i) q^{51} +(4.16961 + 2.00798i) q^{52} +(0.366140 + 1.60417i) q^{53} +(14.1859 + 6.83156i) q^{54} +(-3.24895 + 1.56461i) q^{55} +(-8.32608 + 15.8456i) q^{56} +(10.2932 + 4.95695i) q^{57} +(1.60612 + 2.01401i) q^{58} +(-13.7142 + 6.60441i) q^{59} +(12.0155 - 15.0670i) q^{60} +(2.25000 - 9.85790i) q^{61} +(-11.4362 + 14.3406i) q^{62} +(-10.9292 + 8.10669i) q^{63} +(1.83112 + 2.29615i) q^{64} +(1.31474 - 0.633146i) q^{65} +(4.03980 - 17.6995i) q^{66} -4.33895 q^{67} +23.6766 q^{68} +(4.79733 - 21.0185i) q^{69} +(3.99659 + 9.10069i) q^{70} +(2.16425 + 9.48218i) q^{71} +(7.74291 + 33.9239i) q^{72} +(-8.83424 - 11.0778i) q^{73} +(15.1038 + 18.9395i) q^{74} +(1.82280 + 7.98619i) q^{75} +(4.12288 + 18.0635i) q^{76} +(4.96591 + 4.25283i) q^{77} +(-1.63477 + 7.16240i) q^{78} -1.52504 q^{79} +11.9101 q^{80} +(-0.450123 + 1.97212i) q^{81} +(2.52464 - 1.21580i) q^{82} +(-7.06139 - 8.85471i) q^{83} +(-33.7717 - 8.96239i) q^{84} +(4.65471 - 5.83682i) q^{85} +(-1.48997 + 6.52796i) q^{86} +(-1.78027 + 2.23239i) q^{87} +(15.0631 - 7.25400i) q^{88} +(-4.51349 - 5.65974i) q^{89} +(17.4085 + 8.38349i) q^{90} +(-2.00954 - 1.72098i) q^{91} +(31.5012 - 15.1702i) q^{92} +(-18.3177 - 8.82135i) q^{93} +(3.59796 + 15.7637i) q^{94} +(5.26361 + 2.53482i) q^{95} +(-13.3108 + 16.6913i) q^{96} -17.0599 q^{97} +(12.1941 - 13.2692i) q^{98} +12.7097 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9}+O(q^{10}) $ 162 * q + 3 * q^2 - 25 * q^4 - 4 * q^5 + 18 * q^6 - 15 * q^7 + 3 * q^8 - 5 * q^9	\( 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9} - 10 q^{10} + 15 q^{11} + 25 q^{12} + 27 q^{13} + 33 q^{14} + 18 q^{15} - 5 q^{16} + 3 q^{17} - 64 q^{18} + 24 q^{19} - 47 q^{20} + 24 q^{22} + 27 q^{23} - 8 q^{24} - 35 q^{25} - 3 q^{26} + 15 q^{27} + 2 q^{28} + 46 q^{29} - 30 q^{30} + 46 q^{31} + 16 q^{32} - 18 q^{33} - 62 q^{34} - 51 q^{35} + 39 q^{36} + 16 q^{37} - 54 q^{38} + 74 q^{40} - 2 q^{41} + 88 q^{42} + 14 q^{43} - 95 q^{44} + 83 q^{45} + 56 q^{46} - 4 q^{47} - 20 q^{48} - 3 q^{49} - 216 q^{50} - 56 q^{51} + 25 q^{52} + 38 q^{53} - 6 q^{54} + 73 q^{55} - 35 q^{56} + 41 q^{57} + 72 q^{58} - 44 q^{59} + 24 q^{60} - 6 q^{61} - 36 q^{62} - q^{63} - 11 q^{64} + 4 q^{65} + 95 q^{66} - 126 q^{67} - 382 q^{68} - 108 q^{69} - 47 q^{70} + 51 q^{71} + 130 q^{72} + 14 q^{73} - 26 q^{74} + 3 q^{75} + 75 q^{76} - 6 q^{77} + 31 q^{78} - 58 q^{79} + 110 q^{80} - 5 q^{81} - 90 q^{82} - 35 q^{83} + 21 q^{84} + 18 q^{85} + 76 q^{86} - 100 q^{87} + 6 q^{88} + 32 q^{89} + 13 q^{90} + q^{91} + 46 q^{92} + 19 q^{93} + 72 q^{94} + 38 q^{95} + 95 q^{96} + 6 q^{97} - 299 q^{98} - 334 q^{99}+O(q^{100}) \) 162 * q + 3 * q^2 - 25 * q^4 - 4 * q^5 + 18 * q^6 - 15 * q^7 + 3 * q^8 - 5 * q^9 - 10 * q^10 + 15 * q^11 + 25 * q^12 + 27 * q^13 + 33 * q^14 + 18 * q^15 - 5 * q^16 + 3 * q^17 - 64 * q^18 + 24 * q^19 - 47 * q^20 + 24 * q^22 + 27 * q^23 - 8 * q^24 - 35 * q^25 - 3 * q^26 + 15 * q^27 + 2 * q^28 + 46 * q^29 - 30 * q^30 + 46 * q^31 + 16 * q^32 - 18 * q^33 - 62 * q^34 - 51 * q^35 + 39 * q^36 + 16 * q^37 - 54 * q^38 + 74 * q^40 - 2 * q^41 + 88 * q^42 + 14 * q^43 - 95 * q^44 + 83 * q^45 + 56 * q^46 - 4 * q^47 - 20 * q^48 - 3 * q^49 - 216 * q^50 - 56 * q^51 + 25 * q^52 + 38 * q^53 - 6 * q^54 + 73 * q^55 - 35 * q^56 + 41 * q^57 + 72 * q^58 - 44 * q^59 + 24 * q^60 - 6 * q^61 - 36 * q^62 - q^63 - 11 * q^64 + 4 * q^65 + 95 * q^66 - 126 * q^67 - 382 * q^68 - 108 * q^69 - 47 * q^70 + 51 * q^71 + 130 * q^72 + 14 * q^73 - 26 * q^74 + 3 * q^75 + 75 * q^76 - 6 * q^77 + 31 * q^78 - 58 * q^79 + 110 * q^80 - 5 * q^81 - 90 * q^82 - 35 * q^83 + 21 * q^84 + 18 * q^85 + 76 * q^86 - 100 * q^87 + 6 * q^88 + 32 * q^89 + 13 * q^90 + q^91 + 46 * q^92 + 19 * q^93 + 72 * q^94 + 38 * q^95 + 95 * q^96 + 6 * q^97 - 299 * q^98 - 334 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/637\mathbb{Z}\right)^\times$.

$n$	$197$	$248$
$\chi(n)$	$1$	$e\left(\frac{1}{7}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.60516	+	2.01281i	−1.13502	+	1.42327i	−0.243723	+	0.969845i	$0.578369\pi$
$2$	−1.60516	+	2.01281i	−1.13502	+	1.42327i	−0.891295	+	0.453424i	$0.850203\pi$
$3$	−2.57103	−	1.23814i	−1.48438	−	0.714842i	−0.496214	−	0.868200i	$-0.665277\pi$
$3$	−2.57103	−	1.23814i	−1.48438	−	0.714842i	−0.988171	+	0.153358i	$0.950991\pi$
$4$	−1.02981	−	4.51189i	−0.514905	−	2.25594i
$5$	−1.31474	−	0.633146i	−0.587970	−	0.283152i	0.116151	−	0.993232i	$-0.462944\pi$
$5$	−1.31474	−	0.633146i	−0.587970	−	0.283152i	−0.704121	+	0.710080i	$0.748659\pi$
$6$	6.61905	−	3.18757i	2.70222	−	1.30132i
$7$	−0.0925892	+	2.64413i	−0.0349954	+	0.999387i
$7$	−0.0925892	+	2.64413i	−0.0349954	+	0.999387i
$8$	6.09552	+	2.93545i	2.15509	+	1.03784i
$9$	3.20673	+	4.02111i	1.06891	+	1.34037i
$10$	3.38477	−	1.63002i	1.07036	−	0.515457i
$11$	1.54075	−	1.93204i	0.464554	−	0.582532i	−0.493274	−	0.869874i	$-0.664200\pi$
$11$	1.54075	−	1.93204i	0.464554	−	0.582532i	0.957828	+	0.287342i	$0.0927715\pi$
$12$	−2.93869	+	12.8752i	−0.848327	+	3.71676i
$13$	−0.623490	+	0.781831i	−0.172925	+	0.216841i
$13$	−0.623490	+	0.781831i	−0.172925	+	0.216841i
$14$	−5.17350	−	4.43061i	−1.38268	−	1.18413i
$15$	2.59631	+	3.25567i	0.670365	+	0.840611i
$16$	−7.35353	+	3.54127i	−1.83838	+	0.885318i
$17$	−1.13842	+	4.98776i	−0.276108	+	1.20971i	0.626561	+	0.779373i	$0.284462\pi$
$17$	−1.13842	+	4.98776i	−0.276108	+	1.20971i	−0.902669	+	0.430336i	$0.858395\pi$
$18$	−13.2410			−3.12094
$19$	−4.00354			−0.918474			−0.459237	−	0.888314i	$-0.651877\pi$
$19$	−4.00354			−0.918474			−0.459237	+	0.888314i	$0.651877\pi$
$20$	−1.50275	+	6.58399i	−0.336025	+	1.47222i
$21$	3.51186	−	6.68350i	0.766351	−	1.45846i
$22$	1.41567	+	6.20246i	0.301822	+	1.32237i
$23$	1.68113	+	7.36553i	0.350540	+	1.53582i	0.775937	+	0.630811i	$0.217278\pi$
$23$	1.68113	+	7.36553i	0.350540	+	1.53582i	−0.425396	+	0.905007i	$0.639865\pi$
$24$	−12.0373	−	15.0942i	−2.45709	−	3.08110i
$25$	−1.78978	−	2.24431i	−0.357956	−	0.448862i
$26$	−0.572875	−	2.50993i	−0.112350	−	0.492237i
$27$	−1.36091	−	5.96253i	−0.261907	−	1.14749i
$28$	12.0254	−	2.30520i	2.27258	−	0.435641i
$29$	0.222654	−	0.975511i	0.0413458	−	0.181148i	−0.950039	−	0.312133i	$-0.898957\pi$
$29$	0.222654	−	0.975511i	0.0413458	−	0.181148i	0.991384	+	0.130985i	$0.0418138\pi$
$30$	−10.7205			−1.95729
$31$	7.12467			1.27963			0.639814	−	0.768530i	$-0.279011\pi$
$31$	7.12467			1.27963			0.639814	+	0.768530i	$0.279011\pi$
$32$	1.66475	−	7.29376i	0.294289	−	1.28937i
$33$	−6.35346	+	3.05966i	−1.10600	+	0.532619i
$34$	−8.21204	−	10.2976i	−1.40835	−	1.76602i
$35$	1.79585	−	3.41773i	0.303554	−	0.577701i
$36$	14.8405	−	18.6094i	2.47341	−	3.10156i
$37$	2.09381	−	9.17359i	0.344221	−	1.50813i	−0.445847	−	0.895109i	$-0.647097\pi$
$37$	2.09381	−	9.17359i	0.344221	−	1.50813i	0.790068	−	0.613020i	$-0.210045\pi$
$38$	6.42631	−	8.05834i	1.04249	−	1.30724i
$39$	2.57103	−	1.23814i	0.411694	−	0.198261i
$40$	−6.15546	−	7.71870i	−0.973264	−	1.22043i
$41$	−0.980644	−	0.472253i	−0.153151	−	0.0737536i	0.355738	−	0.934586i	$-0.384229\pi$
$41$	−0.980644	−	0.472253i	−0.153151	−	0.0737536i	−0.508889	+	0.860832i	$0.669944\pi$
$42$	7.81549	+	17.7968i	1.20596	+	2.74610i
$43$	2.34329	−	1.12847i	0.357349	−	0.172090i	−0.246592	−	0.969119i	$-0.579311\pi$
$43$	2.34329	−	1.12847i	0.357349	−	0.172090i	0.603941	+	0.797029i	$0.293596\pi$
$44$	−10.3038	−	4.96206i	−1.55336	−	0.748059i
$45$	−1.67007	−	7.31704i	−0.248959	−	1.09076i
$46$	−17.5239	−	8.43904i	−2.58375	−	1.24427i
$47$	3.91585	−	4.91032i	0.571185	−	0.716244i	−0.409396	−	0.912357i	$-0.634261\pi$
$47$	3.91585	−	4.91032i	0.571185	−	0.716244i	0.980581	+	0.196113i	$0.0628320\pi$
$48$	23.2907			3.36173
$49$	−6.98285	−	0.489636i	−0.997551	−	0.0699480i
$50$	7.39024			1.04514
$51$	9.10247	−	11.4141i	1.27460	−	1.59830i
$52$	4.16961	+	2.00798i	0.578221	+	0.278457i
$53$	0.366140	+	1.60417i	0.0502932	+	0.220349i	0.993829	−	0.110921i	$-0.0353800\pi$
$53$	0.366140	+	1.60417i	0.0502932	+	0.220349i	−0.943536	+	0.331270i	$0.892523\pi$
$54$	14.1859	+	6.83156i	1.93045	+	0.929658i
$55$	−3.24895	+	1.56461i	−0.438089	+	0.210972i
$56$	−8.32608	+	15.8456i	−1.11262	+	2.11745i
$57$	10.2932	+	4.95695i	1.36337	+	0.656564i
$58$	1.60612	+	2.01401i	0.210894	+	0.264452i
$59$	−13.7142	+	6.60441i	−1.78544	+	0.859822i	−0.834137	+	0.551557i	$0.814034\pi$
$59$	−13.7142	+	6.60441i	−1.78544	+	0.859822i	−0.951301	+	0.308264i	$0.900252\pi$
$60$	12.0155	−	15.0670i	1.55120	−	1.94514i
$61$	2.25000	−	9.85790i	0.288083	−	1.26217i	−0.599069	−	0.800697i	$-0.704462\pi$
$61$	2.25000	−	9.85790i	0.288083	−	1.26217i	0.887152	−	0.461477i	$-0.152680\pi$
$62$	−11.4362	+	14.3406i	−1.45240	+	1.82125i
$63$	−10.9292	+	8.10669i	−1.37696	+	1.02135i
$64$	1.83112	+	2.29615i	0.228890	+	0.287019i
$65$	1.31474	−	0.633146i	0.163074	−	0.0785321i
$66$	4.03980	−	17.6995i	0.497265	−	2.17866i
$67$	−4.33895			−0.530087			−0.265044	−	0.964236i	$-0.585386\pi$
$67$	−4.33895			−0.530087			−0.265044	+	0.964236i	$0.585386\pi$
$68$	23.6766			2.87121
$69$	4.79733	−	21.0185i	0.577530	−	2.53033i
$70$	3.99659	+	9.10069i	0.477684	+	1.08774i
$71$	2.16425	+	9.48218i	0.256849	+	1.12533i	0.924599	+	0.380942i	$0.124400\pi$
$71$	2.16425	+	9.48218i	0.256849	+	1.12533i	−0.667750	+	0.744385i	$0.732743\pi$
$72$	7.74291	+	33.9239i	0.912511	+	3.99797i
$73$	−8.83424	−	11.0778i	−1.03397	−	1.29656i	−0.954015	−	0.299759i	$-0.903094\pi$
$73$	−8.83424	−	11.0778i	−1.03397	−	1.29656i	−0.0799552	−	0.996798i	$-0.525478\pi$
$74$	15.1038	+	18.9395i	1.75578	+	2.20167i
$75$	1.82280	+	7.98619i	0.210478	+	0.922166i
$76$	4.12288	+	18.0635i	0.472927	+	2.07203i
$77$	4.96591	+	4.25283i	0.565918	+	0.484655i
$78$	−1.63477	+	7.16240i	−0.185101	+	0.810982i
$79$	−1.52504			−0.171580			−0.0857900	−	0.996313i	$-0.527341\pi$
$79$	−1.52504			−0.171580			−0.0857900	+	0.996313i	$0.527341\pi$
$80$	11.9101			1.33159
$81$	−0.450123	+	1.97212i	−0.0500136	+	0.219124i
$82$	2.52464	−	1.21580i	0.278800	−	0.134263i
$83$	−7.06139	−	8.85471i	−0.775089	−	0.971930i	0.224908	−	0.974380i	$-0.427792\pi$
$83$	−7.06139	−	8.85471i	−0.775089	−	0.971930i	−0.999997	+	0.00244956i	$0.999220\pi$
$84$	−33.7717	−	8.96239i	−3.68480	−	0.977877i
$85$	4.65471	−	5.83682i	0.504874	−	0.633092i
$86$	−1.48997	+	6.52796i	−0.160667	+	0.703929i
$87$	−1.78027	+	2.23239i	−0.190865	+	0.239337i
$88$	15.0631	−	7.25400i	1.60573	−	0.773279i
$89$	−4.51349	−	5.65974i	−0.478429	−	0.599931i	0.482783	−	0.875740i	$-0.339626\pi$
$89$	−4.51349	−	5.65974i	−0.478429	−	0.599931i	−0.961213	+	0.275808i	$0.911054\pi$
$90$	17.4085	+	8.38349i	1.83502	+	0.883698i
$91$	−2.00954	−	1.72098i	−0.210657	−	0.180407i
$92$	31.5012	−	15.1702i	3.28423	−	1.58160i
$93$	−18.3177	−	8.82135i	−1.89946	−	0.914732i
$94$	3.59796	+	15.7637i	0.371101	+	1.62590i
$95$	5.26361	+	2.53482i	0.540035	+	0.260067i
$96$	−13.3108	+	16.6913i	−1.35853	+	1.70354i
$97$	−17.0599			−1.73217			−0.866087	−	0.499893i	$-0.833373\pi$
$97$	−17.0599			−1.73217			−0.866087	+	0.499893i	$0.833373\pi$
$98$	12.1941	−	13.2692i	1.23179	−	1.34039i
$99$	12.7097			1.27737
$100$	−8.28295	+	10.3865i	−0.828295	+	1.03865i
$101$	−4.17026	−	2.00829i	−0.414956	−	0.199832i	0.214744	−	0.976670i	$-0.431108\pi$
$101$	−4.17026	−	2.00829i	−0.414956	−	0.199832i	−0.629701	+	0.776838i	$0.716822\pi$
$102$	8.36353	+	36.6430i	0.828113	+	3.62820i
$103$	3.34422	+	1.61049i	0.329515	+	0.158686i	0.591325	−	0.806433i	$-0.298605\pi$
$103$	3.34422	+	1.61049i	0.329515	+	0.158686i	−0.261810	+	0.965120i	$0.584319\pi$
$104$	−6.09552	+	2.93545i	−0.597715	+	0.287844i
$105$	−8.84882	+	6.56355i	−0.863556	+	0.640537i
$106$	−3.81659	−	1.83797i	−0.370700	−	0.178520i
$107$	−1.25470	−	1.57335i	−0.121297	−	0.152101i	0.717476	−	0.696584i	$-0.245298\pi$
$107$	−1.25470	−	1.57335i	−0.121297	−	0.152101i	−0.838772	+	0.544482i	$0.816726\pi$
$108$	−25.5008	+	12.2805i	−2.45381	+	1.18169i
$109$	2.42264	−	3.03789i	0.232047	−	0.290977i	−0.652152	−	0.758088i	$-0.726134\pi$
$109$	2.42264	−	3.03789i	0.232047	−	0.290977i	0.884199	+	0.467111i	$0.154705\pi$
$110$	2.06582	−	9.05096i	0.196969	−	0.862975i
$111$	−16.7415	+	20.9931i	−1.58903	+	1.99258i
$112$	−8.68273	−	19.7716i	−0.820441	−	1.86824i
$113$	0.592223	+	0.742624i	0.0557116	+	0.0698602i	0.808907	−	0.587937i	$-0.200060\pi$
$113$	0.592223	+	0.742624i	0.0557116	+	0.0698602i	−0.753195	+	0.657797i	$0.771488\pi$
$114$	−26.4996	+	12.7615i	−2.48192	+	1.19523i
$115$	2.45320	−	10.7482i	0.228762	−	1.00227i
$116$	−4.63069			−0.429949
$117$	−5.14319			−0.475488
$118$	8.72008	−	38.2052i	0.802748	−	3.51707i
$119$	−13.0829	−	3.47195i	−1.19931	−	0.318273i
$120$	6.26902	+	27.4664i	0.572280	+	2.50732i
$121$	1.08886	+	4.77062i	0.0989875	+	0.433693i
$122$	16.2304	+	20.3523i	1.46943	+	1.84261i
$123$	1.93655	+	2.42836i	0.174613	+	0.218957i
$124$	−7.33705	−	32.1457i	−0.658886	−	2.88677i
$125$	2.55569	+	11.1972i	0.228588	+	1.00151i
$126$	1.22598	−	35.0110i	0.109219	−	3.11902i
$127$	2.64735	−	11.5988i	0.234915	−	1.02923i	−0.710587	−	0.703610i	$-0.751570\pi$
$127$	2.64735	−	11.5988i	0.234915	−	1.02923i	0.945501	−	0.325619i	$-0.105573\pi$
$128$	7.40172			0.654226
$129$	−7.42188			−0.653460
$130$	−0.835969	+	3.66262i	−0.0733193	+	0.321233i
$131$	5.34316	−	2.57313i	0.466834	−	0.224815i	−0.185653	−	0.982615i	$-0.559440\pi$
$131$	5.34316	−	2.57313i	0.466834	−	0.224815i	0.652487	+	0.757800i	$0.273726\pi$
$132$	20.3477	+	25.5152i	1.77104	+	2.22082i
$133$	0.370684	−	10.5859i	0.0321424	−	0.917912i
$134$	6.96470	−	8.73346i	0.601659	−	0.754456i
$135$	−1.98591	+	8.70084i	−0.170920	+	0.748849i
$136$	−21.5806	+	27.0612i	−1.85052	+	2.32048i
$137$	10.3256	−	4.97255i	0.882176	−	0.424834i	0.0627573	−	0.998029i	$-0.480011\pi$
$137$	10.3256	−	4.97255i	0.882176	−	0.424834i	0.819419	+	0.573195i	$0.194296\pi$
$138$	34.6056	+	43.3941i	2.94583	+	3.69395i
$139$	1.81788	+	0.875443i	0.154190	+	0.0742541i	0.509388	−	0.860537i	$-0.329872\pi$
$139$	1.81788	+	0.875443i	0.154190	+	0.0742541i	−0.355197	+	0.934791i	$0.615586\pi$
$140$	−17.2698	−	4.58308i	−1.45956	−	0.387341i
$141$	−16.1474	+	7.77620i	−1.35986	+	0.654874i
$142$	−22.5597	−	10.8642i	−1.89317	−	0.911703i
$143$	0.549888	+	2.40922i	0.0459839	+	0.201469i
$144$	−37.8206	−	18.2134i	−3.15172	−	1.51779i
$145$	−0.910374	+	1.14157i	−0.0756024	+	0.0948024i
$146$	36.4778			3.01892
$147$	17.3469	+	9.90464i	1.43075	+	0.816921i
$148$	−43.5464			−3.57950
$149$	11.8105	−	14.8099i	0.967551	−	1.21327i	−0.00943269	−	0.999956i	$-0.503003\pi$
$149$	11.8105	−	14.8099i	0.967551	−	1.21327i	0.976984	−	0.213315i	$-0.0684260\pi$
$150$	−19.0005	−	9.15017i	−1.55139	−	0.747108i
$151$	−4.56690	−	20.0089i	−0.371649	−	1.62830i	−0.722147	−	0.691739i	$-0.756845\pi$
$151$	−4.56690	−	20.0089i	−0.371649	−	1.62830i	0.350498	−	0.936563i	$-0.386012\pi$
$152$	−24.4036	−	11.7522i	−1.97940	−	0.953226i
$153$	−23.7069	+	11.4167i	−1.91659	+	0.922982i
$154$	−16.5312	+	3.16894i	−1.33212	+	0.255361i
$155$	−9.36710	−	4.51096i	−0.752383	−	0.362329i
$156$	−8.23403	−	10.3251i	−0.659250	−	0.826673i
$157$	−1.75635	+	0.845816i	−0.140172	+	0.0675035i	−0.502655	−	0.864487i	$-0.667643\pi$
$157$	−1.75635	+	0.845816i	−0.140172	+	0.0675035i	0.362483	+	0.931990i	$0.381929\pi$
$158$	2.44792	−	3.06960i	0.194746	−	0.244204i
$159$	1.04483	−	4.57769i	0.0828603	−	0.363035i
$160$	−6.80673	+	8.53537i	−0.538119	+	0.674780i
$161$	−19.6311	+	3.76317i	−1.54714	+	0.296579i
$162$	−3.24697	−	4.07157i	−0.255106	−	0.319893i
$163$	−8.94580	+	4.30807i	−0.700689	+	0.337434i	−0.750082	−	0.661345i	$-0.769986\pi$
$163$	−8.94580	+	4.30807i	−0.700689	+	0.337434i	0.0493922	+	0.998779i	$0.484272\pi$
$164$	−1.12088	+	4.91089i	−0.0875259	+	0.383476i
$165$	10.2904			0.801104
$166$	29.1575			2.26306
$167$	−0.633436	+	2.77526i	−0.0490167	+	0.214756i	−0.993505	−	0.113789i	$-0.963701\pi$
$167$	−0.633436	+	2.77526i	−0.0490167	+	0.214756i	0.944488	+	0.328545i	$0.106558\pi$
$168$	41.0257	−	30.4305i	3.16520	−	2.34776i
$169$	−0.222521	−	0.974928i	−0.0171170	−	0.0749945i
$170$	4.27684	+	18.7381i	0.328019	+	1.43714i
$171$	−12.8382	−	16.0987i	−0.981765	−	1.23109i
$172$	−7.50467	−	9.41056i	−0.572226	−	0.717549i
$173$	1.84061	+	8.06425i	0.139939	+	0.613113i	0.995446	+	0.0953226i	$0.0303883\pi$
$173$	1.84061	+	8.06425i	0.139939	+	0.613113i	−0.855507	+	0.517791i	$0.826755\pi$
$174$	−1.63575	−	7.16668i	−0.124006	−	0.543305i
$175$	6.09997	−	4.52461i	0.461114	−	0.342028i
$176$	−4.48808	+	19.6635i	−0.338301	+	1.48220i
$177$	43.4368			3.26491
$178$	18.6368			1.39689
$179$	−0.257959	+	1.13019i	−0.0192808	+	0.0844745i	−0.983653	−	0.180075i	$-0.942366\pi$
$179$	−0.257959	+	1.13019i	−0.0192808	+	0.0844745i	0.964372	+	0.264549i	$0.0852232\pi$
$180$	−31.2938	+	15.0703i	−2.33250	+	1.12327i
$181$	−11.1872	−	14.0283i	−0.831536	−	1.04271i	−0.998389	−	0.0567313i	$-0.981932\pi$
$181$	−11.1872	−	14.0283i	−0.831536	−	1.04271i	0.166854	−	0.985982i	$-0.446639\pi$
$182$	6.68962	−	1.28236i	0.495867	−	0.0950551i
$183$	−17.9903	+	22.5591i	−1.32988	+	1.66762i
$184$	−11.3737	+	49.8316i	−0.838482	+	3.67363i
$185$	−8.56104	+	10.7352i	−0.629420	+	0.789268i
$186$	47.1585	−	22.7104i	3.45783	−	1.66520i
$187$	7.88252	+	9.88437i	0.576427	+	0.722817i
$188$	−26.1874	−	12.6112i	−1.90991	−	0.919765i
$189$	15.8917	−	3.04635i	1.15595	−	0.221590i
$190$	−13.5510	+	6.52584i	−0.983096	+	0.473434i
$191$	8.40142	+	4.04591i	0.607906	+	0.292752i	0.712400	−	0.701774i	$-0.247608\pi$
$191$	8.40142	+	4.04591i	0.607906	+	0.292752i	−0.104494	+	0.994525i	$0.533322\pi$
$192$	−1.86490	−	8.17065i	−0.134587	−	0.589666i
$193$	12.4117	+	5.97714i	0.893411	+	0.430244i	0.823505	−	0.567310i	$-0.192016\pi$
$193$	12.4117	+	5.97714i	0.893411	+	0.430244i	0.0699062	+	0.997554i	$0.477730\pi$
$194$	27.3839	−	34.3383i	1.96605	−	2.46535i
$195$	−4.16416			−0.298202
$196$	4.98182	+	32.0101i	0.355845	+	2.28644i
$197$	−11.6932			−0.833104			−0.416552	−	0.909112i	$-0.636762\pi$
$197$	−11.6932			−0.833104			−0.416552	+	0.909112i	$0.636762\pi$
$198$	−20.4011	+	25.5822i	−1.44984	+	1.81805i
$199$	12.1567	+	5.85438i	0.861768	+	0.415006i	0.811932	−	0.583752i	$-0.198416\pi$
$199$	12.1567	+	5.85438i	0.861768	+	0.415006i	0.0498359	+	0.998757i	$0.484130\pi$
$200$	−4.32157	−	18.9340i	−0.305581	−	1.33884i
$201$	11.1556	+	5.37224i	0.786853	+	0.378929i
$202$	10.7362	−	5.17029i	0.755398	−	0.363780i
$203$	2.55876	+	0.679048i	0.179590	+	0.0476599i
$204$	−60.8731	−	29.3150i	−4.26197	−	2.05246i
$205$	0.990288	+	1.24178i	0.0691647	+	0.0867298i
$206$	−8.60960	+	4.14616i	−0.599859	+	0.288877i
$207$	−24.2266	+	30.3792i	−1.68387	+	2.11150i
$208$	1.81617	−	7.95717i	0.125929	−	0.551730i
$209$	−6.16845	+	7.73500i	−0.426681	+	0.535041i
$210$	0.992606	−	28.3465i	0.0684963	−	1.95609i
$211$	8.96891	+	11.2467i	0.617445	+	0.774252i	0.987982	−	0.154566i	$-0.0493979\pi$
$211$	8.96891	+	11.2467i	0.617445	+	0.774252i	−0.370537	+	0.928818i	$0.620826\pi$
$212$	6.86076	−	3.30397i	0.471199	−	0.226918i
$213$	6.17595	−	27.0586i	0.423169	−	1.85402i
$214$	5.18084			0.354155
$215$	−3.79531			−0.258838
$216$	9.20724	−	40.3396i	0.626473	−	2.74476i
$217$	−0.659667	+	18.8386i	−0.0447811	+	1.27884i
$218$	2.22597	+	9.75260i	0.150761	+	0.660529i
$219$	8.99722	+	39.4194i	0.607976	+	2.66372i
$220$	10.4052	+	13.0477i	0.701516	+	0.879673i
$221$	−3.18979	−	3.99987i	−0.214569	−	0.269060i
$222$	−15.3824	−	67.3946i	−1.03240	−	4.52323i
$223$	4.79357	+	21.0020i	0.321001	+	1.40640i	0.835775	+	0.549072i	$0.185019\pi$
$223$	4.79357	+	21.0020i	0.321001	+	1.40640i	−0.514774	+	0.857326i	$0.672124\pi$
$224$	19.1315	+	5.07715i	1.27828	+	0.339231i
$225$	3.28529	−	14.3938i	0.219019	−	0.959586i
$226$	−2.44537			−0.162663
$227$	−9.15715			−0.607781			−0.303891	−	0.952707i	$-0.598286\pi$
$227$	−9.15715			−0.607781			−0.303891	+	0.952707i	$0.598286\pi$
$228$	11.7652	−	51.5465i	0.779167	−	3.41375i
$229$	2.55232	−	1.22913i	0.168662	−	0.0812233i	−0.347648	−	0.937625i	$-0.613020\pi$
$229$	2.55232	−	1.22913i	0.168662	−	0.0812233i	0.516310	+	0.856402i	$0.327305\pi$
$230$	17.6962	+	22.1903i	1.16685	+	1.46319i
$231$	−7.50189	−	17.0827i	−0.493588	−	1.12396i
$232$	4.22075	−	5.29266i	0.277106	−	0.347480i
$233$	4.80072	−	21.0333i	0.314506	−	1.37794i	−0.532534	−	0.846409i	$-0.678760\pi$
$233$	4.80072	−	21.0333i	0.314506	−	1.37794i	0.847039	−	0.531530i	$-0.178383\pi$
$234$	8.25564	−	10.3522i	0.539688	−	0.676747i
$235$	−8.25728	+	3.97650i	−0.538645	+	0.259398i
$236$	43.9214	+	55.0757i	2.85904	+	3.58512i
$237$	3.92091	+	1.88821i	0.254691	+	0.122653i
$238$	27.9885	−	20.7603i	1.81422	−	1.34569i
$239$	−24.8424	+	11.9635i	−1.60692	+	0.773853i	−0.999785	−	0.0207433i	$-0.993397\pi$
$239$	−24.8424	+	11.9635i	−1.60692	+	0.773853i	−0.607138	+	0.794597i	$0.707682\pi$
$240$	−30.6213	−	14.7464i	−1.97660	−	0.951879i
$241$	−6.04766	−	26.4965i	−0.389564	−	1.70679i	−0.666163	−	0.745806i	$-0.732065\pi$
$241$	−6.04766	−	26.4965i	−0.389564	−	1.70679i	0.276599	−	0.960985i	$-0.410793\pi$
$242$	−11.3501	−	5.46593i	−0.729614	−	0.351363i
$243$	−7.84050	+	9.83168i	−0.502968	+	0.630702i
$244$	−46.7948			−2.99573
$245$	8.87064	+	5.06491i	0.566724	+	0.323585i
$246$	−7.99627			−0.509824
$247$	2.49616	−	3.13009i	0.158827	−	0.199163i
$248$	43.4285	+	20.9141i	2.75771	+	1.32805i
$249$	7.19166	+	31.5087i	0.455753	+	1.99678i
$250$	−26.6401	−	12.8292i	−1.68487	−	0.811389i
$251$	10.0187	−	4.82474i	0.632373	−	0.304535i	−0.0901014	−	0.995933i	$-0.528719\pi$
$251$	10.0187	−	4.82474i	0.632373	−	0.304535i	0.722474	+	0.691398i	$0.243005\pi$
$252$	47.8315	+	40.9632i	3.01310	+	2.58044i
$253$	16.8207	+	8.10042i	1.05751	+	0.509269i
$254$	19.0967	+	23.9465i	1.19824	+	1.50254i
$255$	−19.1942	+	9.24345i	−1.20199	+	0.578847i
$256$	−15.5432	+	19.4905i	−0.971448	+	1.21816i
$257$	4.30996	−	18.8832i	0.268848	−	1.17790i	−0.642508	−	0.766279i	$-0.722106\pi$
$257$	4.30996	−	18.8832i	0.268848	−	1.17790i	0.911356	−	0.411620i	$-0.135037\pi$
$258$	11.9133	−	14.9388i	0.741689	−	0.930049i
$259$	24.0623	+	6.38569i	1.49516	+	0.396787i
$260$	−4.21062	−	5.27995i	−0.261131	−	0.327448i
$261$	4.63663	−	2.23288i	0.287000	−	0.138212i
$262$	−3.39741	+	14.8850i	−0.209893	+	0.919600i
$263$	−25.9890			−1.60255			−0.801275	−	0.598296i	$-0.795845\pi$
$263$	−25.9890			−1.60255			−0.801275	+	0.598296i	$0.795845\pi$
$264$	−47.7091			−2.93629
$265$	0.534291	−	2.34088i	0.0328213	−	0.143799i
$266$	20.7123	+	17.7381i	1.26995	+	1.08759i
$267$	4.59676	+	20.1397i	0.281317	+	1.23253i
$268$	4.46829	+	19.5769i	0.272944	+	1.19585i
$269$	−9.06267	−	11.3642i	−0.552561	−	0.692889i	0.424602	−	0.905380i	$-0.360414\pi$
$269$	−9.06267	−	11.3642i	−0.552561	−	0.692889i	−0.977163	+	0.212491i	$0.931842\pi$
$270$	−14.3254	−	17.9635i	−0.871815	−	1.09322i
$271$	−2.63080	−	11.5263i	−0.159810	−	0.700172i	−0.989808	−	0.142406i	$-0.954516\pi$
$271$	−2.63080	−	11.5263i	−0.159810	−	0.700172i	0.829999	−	0.557765i	$-0.188341\pi$
$272$	−9.29159	−	40.7091i	−0.563385	−	2.46835i
$273$	3.03576	+	6.91278i	0.183733	+	0.418380i
$274$	−6.56546	+	28.7652i	−0.396634	+	1.73777i
$275$	−7.09370			−0.427766
$276$	−99.7733			−6.00565
$277$	−5.16883	+	22.6461i	−0.310565	+	1.36067i	0.543020	+	0.839720i	$0.317281\pi$
$277$	−5.16883	+	22.6461i	−0.310565	+	1.36067i	−0.853585	+	0.520954i	$0.825576\pi$
$278$	−4.68008	+	2.25381i	−0.280692	+	0.135174i
$279$	22.8469	+	28.6491i	1.36781	+	1.71517i
$280$	20.9792	−	15.5612i	1.25375	−	0.929958i
$281$	14.9656	−	18.7663i	0.892775	−	1.11950i	−0.0994491	−	0.995043i	$-0.531708\pi$
$281$	14.9656	−	18.7663i	0.892775	−	1.11950i	0.992224	−	0.124462i	$-0.0397205\pi$
$282$	10.2672	−	44.9837i	0.611405	−	2.67874i
$283$	18.2632	−	22.9013i	1.08563	−	1.36134i	0.158177	−	0.987411i	$-0.449438\pi$
$283$	18.2632	−	22.9013i	1.08563	−	1.36134i	0.927457	−	0.373930i	$-0.121990\pi$
$284$	40.5538	−	19.5297i	2.40642	−	1.15887i
$285$	−10.3944	−	13.0342i	−0.615713	−	0.772080i
$286$	−5.73194	−	2.76036i	−0.338937	−	0.163223i
$287$	1.33950	−	2.54923i	0.0790680	−	0.150476i
$288$	34.6674	−	16.6949i	2.04280	−	0.983758i
$289$	−8.26525	−	3.98033i	−0.486191	−	0.234137i
$290$	−0.836469	−	3.66481i	−0.0491191	−	0.215205i
$291$	43.8616	+	21.1226i	2.57121	+	1.23823i
$292$	−40.8842	+	51.2671i	−2.39257	+	3.00018i
$293$	−11.5201			−0.673009			−0.336504	−	0.941682i	$-0.609245\pi$
$293$	−11.5201			−0.673009			−0.336504	+	0.941682i	$0.609245\pi$
$294$	−47.7806	+	19.0174i	−2.78662	+	1.10912i
$295$	22.2122			1.29324
$296$	39.6914	−	49.7715i	2.30702	−	2.89291i
$297$	−13.6167	−	6.55744i	−0.790119	−	0.380501i
$298$	10.8517	+	47.5443i	0.628621	+	2.75417i
$299$	−6.80677	−	3.27797i	−0.393646	−	0.189570i
$300$	34.1557	−	16.4485i	1.97198	−	0.949655i
$301$	2.76686	+	6.30045i	0.159479	+	0.363152i
$302$	47.6047	+	22.9252i	2.73934	+	1.31920i
$303$	8.23530	+	10.3267i	0.473106	+	0.593256i
$304$	29.4401	−	14.1776i	1.68851	−	0.813142i
$305$	−9.19966	+	11.5360i	−0.526771	+	0.660550i
$306$	15.0739	−	66.0430i	0.861716	−	3.77542i
$307$	0.784913	−	0.984250i	0.0447974	−	0.0561741i	−0.758928	−	0.651174i	$-0.774277\pi$
$307$	0.784913	−	0.984250i	0.0447974	−	0.0561741i	0.803725	+	0.595000i	$0.202848\pi$
$308$	14.0744	−	26.7852i	0.801962	−	1.52623i
$309$	−6.60406	−	8.28123i	−0.375692	−	0.471103i
$310$	24.1153	−	11.6133i	1.36966	−	0.659593i
$311$	0.929302	−	4.07154i	0.0526959	−	0.230876i	−0.941722	−	0.336393i	$-0.890793\pi$
$311$	0.929302	−	4.07154i	0.0526959	−	0.230876i	0.994417	+	0.105518i	$0.0336500\pi$
$312$	19.3063			1.09300
$313$	21.0323			1.18882			0.594408	−	0.804164i	$-0.297386\pi$
$313$	21.0323			1.18882			0.594408	+	0.804164i	$0.297386\pi$
$314$	1.11677	−	4.89287i	0.0630227	−	0.276121i
$315$	19.5018	−	3.73840i	1.09880	−	0.210635i
$316$	1.57050	+	6.88079i	0.0883473	+	0.387075i
$317$	−4.08888	−	17.9146i	−0.229655	−	1.00618i	−0.949922	−	0.312486i	$-0.898838\pi$
$317$	−4.08888	−	17.9146i	−0.229655	−	1.00618i	0.720268	−	0.693696i	$-0.244019\pi$
$318$	7.53689	+	9.45096i	0.422648	+	0.529983i
$319$	−1.54167	−	1.93320i	−0.0863171	−	0.108238i
$320$	−0.953649	−	4.17821i	−0.0533106	−	0.233569i
$321$	1.27785	+	5.59862i	0.0713226	+	0.312485i
$322$	23.9365	−	45.5540i	1.33393	−	2.53863i
$323$	4.55772	−	19.9687i	0.253598	−	1.11109i
$324$	9.36151			0.520084
$325$	2.87058			0.159231
$326$	5.68812	−	24.9213i	0.315036	−	1.38026i
$327$	−9.99002	+	4.81094i	−0.552449	+	0.266046i
$328$	−4.59126	−	5.75726i	−0.253510	−	0.317891i
$329$	12.6210	+	10.8087i	0.695816	+	0.595901i
$330$	−16.5177	+	20.7125i	−0.909268	+	1.14019i
$331$	1.80215	−	7.89574i	0.0990552	−	0.433989i	−0.900945	−	0.433934i	$-0.857125\pi$
$331$	1.80215	−	7.89574i	0.0990552	−	0.433989i	1.00000		5.55578e-5i	$-1.76846e-5\pi$
$332$	−32.6796	+	40.9789i	−1.79352	+	2.24901i
$333$	43.6023	−	20.9977i	2.38939	−	1.15067i
$334$	−4.56930	−	5.72972i	−0.250021	−	0.313516i
$335$	5.70460	+	2.74719i	0.311675	+	0.150095i
$336$	−2.15647	+	61.5838i	−0.117645	+	3.35967i
$337$	−30.4525	+	14.6652i	−1.65885	+	0.798862i	−0.659987	+	0.751277i	$0.729438\pi$
$337$	−30.4525	+	14.6652i	−1.65885	+	0.798862i	−0.998867	+	0.0475855i	$0.984847\pi$
$338$	2.31952	+	1.11702i	0.126165	+	0.0607580i
$339$	−0.603148	−	2.64256i	−0.0327585	−	0.143524i
$340$	−31.1286	−	14.9907i	−1.68818	−	0.812986i
$341$	10.9773	−	13.7651i	0.594456	−	0.745425i
$342$	53.0109			2.86650
$343$	1.94120	−	18.4182i	0.104815	−	0.994492i
$344$	17.5961			0.948720
$345$	−19.6150	+	24.5964i	−1.05604	+	1.32423i
$346$	−19.1862	−	9.23960i	−1.03146	−	0.496724i
$347$	−5.02810	−	22.0295i	−0.269922	−	1.18261i	−0.910103	−	0.414383i	$-0.863997\pi$
$347$	−5.02810	−	22.0295i	−0.269922	−	1.18261i	0.640180	−	0.768225i	$-0.278860\pi$
$348$	11.9056	+	5.73345i	0.638209	+	0.307345i
$349$	10.8224	−	5.21178i	0.579308	−	0.278980i	−0.121196	−	0.992629i	$-0.538673\pi$
$349$	10.8224	−	5.21178i	0.579308	−	0.278980i	0.700504	+	0.713649i	$0.252959\pi$
$350$	−0.684257	+	19.5408i	−0.0365751	+	1.04450i
$351$	5.51020	+	2.65357i	0.294113	+	0.141637i
$352$	−11.5269	−	14.4542i	−0.614384	−	0.770413i
$353$	−2.82975	+	1.36274i	−0.150613	+	0.0725312i	−0.507672	−	0.861551i	$-0.669494\pi$
$353$	−2.82975	+	1.36274i	−0.150613	+	0.0725312i	0.357059	+	0.934082i	$0.383779\pi$
$354$	−69.7230	+	87.4299i	−3.70574	+	4.64685i
$355$	3.15818	−	13.8369i	0.167619	−	0.734386i
$356$	−20.8881	+	26.1928i	−1.10707	+	1.38822i
$357$	29.3377	+	25.1250i	1.55272	+	1.32975i
$358$	−1.86079	−	2.33336i	−0.0983459	−	0.123322i
$359$	2.57069	−	1.23798i	0.135676	−	0.0653380i	−0.364814	−	0.931080i	$-0.618868\pi$
$359$	2.57069	−	1.23798i	0.135676	−	0.0653380i	0.500490	+	0.865742i	$0.333153\pi$
$360$	11.2989	−	49.5035i	0.595502	−	2.60907i
$361$	−2.97170			−0.156405
$362$	46.1934			2.42787
$363$	3.10721	−	13.6136i	0.163086	−	0.714527i
$364$	−5.69542	+	10.8391i	−0.298521	+	0.568122i
$365$	4.60089	+	20.1578i	0.240821	+	1.05511i
$366$	−16.5298	−	72.4220i	−0.864029	−	3.78556i
$367$	12.0898	+	15.1601i	0.631082	+	0.791352i	0.989856	−	0.142073i	$-0.0453766\pi$
$367$	12.0898	+	15.1601i	0.631082	+	0.791352i	−0.358774	+	0.933424i	$0.616805\pi$
$368$	−38.4456	−	48.2093i	−2.00412	−	2.51308i
$369$	−1.24568	−	5.45766i	−0.0648473	−	0.284115i
$370$	−7.86605	−	34.4634i	−0.408937	−	1.79167i
$371$	−4.27552	+	0.819595i	−0.221974	+	0.0425512i
$372$	−20.9372	+	91.7319i	−1.08554	+	4.75608i
$373$	−13.3071			−0.689015			−0.344508	−	0.938784i	$-0.611954\pi$
$373$	−13.3071			−0.689015			−0.344508	+	0.938784i	$0.611954\pi$
$374$	−32.5480			−1.68302
$375$	7.29299	−	31.9527i	0.376608	−	1.65003i
$376$	38.2831	−	18.4362i	1.97430	−	0.950773i
$377$	0.623863	+	0.782299i	0.0321306	+	0.0402905i
$378$	−19.3770	+	36.8768i	−0.996645	+	1.89674i
$379$	11.2769	−	14.1407i	0.579254	−	0.726361i	−0.402732	−	0.915318i	$-0.631939\pi$
$379$	11.2769	−	14.1407i	0.579254	−	0.726361i	0.981985	+	0.188957i	$0.0605106\pi$
$380$	6.01632	−	26.3592i	0.308631	−	1.35220i
$381$	−21.1674	+	26.5431i	−1.08444	+	1.35984i
$382$	−21.6293	+	10.4161i	−1.10665	+	0.532934i
$383$	5.85646	+	7.34376i	0.299251	+	0.375249i	0.908610	−	0.417646i	$-0.137145\pi$
$383$	5.85646	+	7.34376i	0.299251	+	0.375249i	−0.609359	+	0.792894i	$0.708573\pi$
$384$	−19.0300	−	9.16439i	−0.971123	−	0.467668i
$385$	−3.83622	−	8.73552i	−0.195512	−	0.445203i
$386$	−31.9535	+	15.3880i	−1.62639	+	0.783228i
$387$	12.0520	+	5.80394i	0.612637	+	0.295031i
$388$	17.5685	+	76.9725i	0.891904	+	3.90769i
$389$	−16.2529	−	7.82701i	−0.824057	−	0.396845i	−0.0261742	−	0.999657i	$-0.508332\pi$
$389$	−16.2529	−	7.82701i	−0.824057	−	0.396845i	−0.797883	+	0.602812i	$0.794047\pi$
$390$	6.68414	−	8.38165i	0.338465	−	0.424421i
$391$	−38.6513			−1.95468
$392$	−41.1268	−	23.4824i	−2.07722	−	1.18604i
$393$	−16.9233			−0.853669
$394$	18.7694	−	23.5361i	0.945589	−	1.18573i
$395$	2.00503	+	0.965570i	0.100884	+	0.0485831i
$396$	−13.0886	−	57.3448i	−0.657726	−	2.88168i
$397$	−11.8499	−	5.70662i	−0.594730	−	0.286407i	0.112205	−	0.993685i	$-0.464209\pi$
$397$	−11.8499	−	5.70662i	−0.594730	−	0.286407i	−0.706935	+	0.707278i	$0.749923\pi$
$398$	−31.2972	+	15.0719i	−1.56879	+	0.755488i
$399$	−14.0599	+	26.7576i	−0.703873	+	1.33956i
$400$	21.1089	+	10.1655i	1.05545	+	0.508276i
$401$	−23.3073	−	29.2264i	−1.16391	−	1.45950i	−0.862541	−	0.505988i	$-0.831128\pi$
$401$	−23.3073	−	29.2264i	−1.16391	−	1.45950i	−0.301369	−	0.953508i	$-0.597443\pi$
$402$	−28.7197	+	13.8307i	−1.43241	+	0.689812i
$403$	−4.44216	+	5.57029i	−0.221280	+	0.277476i
$404$	−4.76661	+	20.8839i	−0.237148	+	1.03901i
$405$	1.84043	−	2.30783i	0.0914518	−	0.114677i
$406$	−5.47401	+	4.06031i	−0.271671	+	0.201510i
$407$	−14.4977	−	18.1795i	−0.718625	−	0.901127i
$408$	88.9899	−	42.8553i	4.40566	−	2.12165i
$409$	7.74939	−	33.9523i	0.383183	−	1.67883i	−0.304256	−	0.952590i	$-0.598408\pi$
$409$	7.74939	−	33.9523i	0.383183	−	1.67883i	0.687439	−	0.726243i	$-0.258735\pi$
$410$	−4.08904			−0.201943
$411$	−32.7042			−1.61318
$412$	3.82244	−	16.7472i	0.188318	−	0.825077i
$413$	−16.1931	−	36.8737i	−0.796813	−	1.81443i
$414$	−22.2599	−	97.5270i	−1.09401	−	4.79319i
$415$	3.67758	+	16.1125i	0.180525	+	0.790934i
$416$	4.66453	+	5.84914i	0.228698	+	0.286778i
$417$	−3.58989	−	4.50158i	−0.175798	−	0.220443i
$418$	−5.66769	−	24.8318i	−0.277216	−	1.21456i
$419$	5.77867	+	25.3180i	0.282306	+	1.23686i	0.894828	+	0.446411i	$0.147298\pi$
$419$	5.77867	+	25.3180i	0.282306	+	1.23686i	−0.612522	+	0.790454i	$0.709845\pi$
$420$	38.7266	+	33.1657i	1.88967	+	1.61832i
$421$	−1.43395	+	6.28255i	−0.0698865	+	0.306193i	−0.997775	−	0.0666638i	$-0.978764\pi$
$421$	−1.43395	+	6.28255i	−0.0698865	+	0.306193i	0.927889	+	0.372857i	$0.121622\pi$
$422$	−37.0338			−1.80278
$423$	32.3020			1.57058
$424$	−2.47713	+	10.8530i	−0.120300	+	0.527069i
$425$	13.2316	−	6.37200i	0.641827	−	0.309088i
$426$	44.5503	+	55.8643i	2.15847	+	2.70664i
$427$	25.8572	+	6.86203i	1.25132	+	0.332077i
$428$	−5.80666	+	7.28133i	−0.280676	+	0.351956i
$429$	1.56917	−	6.87500i	0.0757605	−	0.331928i
$430$	6.09207	−	7.63922i	0.293786	−	0.368396i
$431$	−9.50609	+	4.57789i	−0.457892	+	0.220509i	−0.648588	−	0.761140i	$-0.724640\pi$
$431$	−9.50609	+	4.57789i	−0.457892	+	0.220509i	0.190696	+	0.981649i	$0.438926\pi$
$432$	31.1224	+	39.0263i	1.49738	+	1.87765i
$433$	8.98539	+	4.32714i	0.431810	+	0.207949i	0.637147	−	0.770743i	$-0.280115\pi$
$433$	8.98539	+	4.32714i	0.431810	+	0.207949i	−0.205336	+	0.978691i	$0.565829\pi$
$434$	−36.8595	−	31.5667i	−1.76931	−	1.51525i
$435$	3.75403	−	1.80784i	0.179992	−	0.0866795i
$436$	−16.2015	−	7.80222i	−0.775910	−	0.373659i
$437$	−6.73048	−	29.4881i	−0.321962	−	1.41061i
$438$	−93.7855	−	45.1647i	−4.48125	−	2.15805i
$439$	−9.09441	+	11.4040i	−0.434053	+	0.544285i	−0.949965	−	0.312357i	$-0.898882\pi$
$439$	−9.09441	+	11.4040i	−0.434053	+	0.544285i	0.515912	+	0.856641i	$0.327453\pi$
$440$	−24.3969			−1.16308
$441$	−20.4232	−	29.6489i	−0.972535	−	1.41185i
$442$	13.1711			0.626484
$443$	−11.7633	+	14.7507i	−0.558892	+	0.700829i	−0.978353	−	0.206945i	$-0.933648\pi$
$443$	−11.7633	+	14.7507i	−0.558892	+	0.700829i	0.419460	+	0.907774i	$0.362219\pi$
$444$	111.959	+	53.9167i	5.31335	+	2.55877i
$445$	2.35063	+	10.2988i	0.111431	+	0.488210i
$446$	−49.9674	−	24.0630i	−2.36602	−	1.13942i
$447$	−48.7018	+	23.4535i	−2.30351	+	1.10931i
$448$	−6.24086	+	4.62912i	−0.294853	+	0.218705i
$449$	19.2439	+	9.26737i	0.908175	+	0.437354i	0.828835	−	0.559493i	$-0.189004\pi$
$449$	19.2439	+	9.26737i	0.908175	+	0.437354i	0.0793404	+	0.996848i	$0.474719\pi$
$450$	23.6985	+	29.7169i	1.11716	+	1.40087i
$451$	−2.42334	+	1.16702i	−0.114111	+	0.0549528i
$452$	2.74076	−	3.43680i	0.128914	−	0.161654i
$453$	−13.0322	+	57.0980i	−0.612308	+	2.68270i
$454$	14.6987	−	18.4316i	0.689843	−	0.865036i
$455$	1.55239	+	3.53497i	0.0727772	+	0.165722i
$456$	48.1916	+	60.4303i	2.25678	+	2.82991i
$457$	25.7479	−	12.3995i	1.20443	−	0.580025i	0.279498	−	0.960146i	$-0.409832\pi$
$457$	25.7479	−	12.3995i	1.20443	−	0.580025i	0.924937	+	0.380121i	$0.124118\pi$
$458$	−1.62287	+	7.11027i	−0.0758319	+	0.332241i
$459$	31.2889			1.46044
$460$	−51.0208			−2.37886
$461$	−7.58996	+	33.2538i	−0.353500	+	1.54878i	0.415536	+	0.909577i	$0.363594\pi$
$461$	−7.58996	+	33.2538i	−0.353500	+	1.54878i	−0.769035	+	0.639206i	$0.779263\pi$
$462$	46.4258	+	12.3205i	2.15992	+	0.573204i
$463$	−4.70906	−	20.6318i	−0.218849	−	0.958839i	−0.958330	−	0.285662i	$-0.907786\pi$
$463$	−4.70906	−	20.6318i	−0.218849	−	0.958839i	0.739482	−	0.673177i	$-0.235071\pi$
$464$	1.81726	+	7.96193i	0.0843641	+	0.369623i
$465$	18.4979	+	23.1956i	0.857818	+	1.07567i
$466$	34.6301	+	43.4247i	1.60421	+	2.01161i
$467$	3.76948	+	16.5152i	0.174431	+	0.764230i	0.984139	+	0.177398i	$0.0567680\pi$
$467$	3.76948	+	16.5152i	0.174431	+	0.764230i	−0.809709	+	0.586832i	$0.800375\pi$
$468$	5.29650	+	23.2055i	0.244831	+	1.07267i
$469$	0.401740	−	11.4728i	0.0185506	−	0.529762i
$470$	5.25033	−	23.0032i	0.242180	−	1.06106i
$471$	5.56288			0.256324
$472$	−102.982			−4.74014
$473$	1.43018	−	6.26603i	0.0657597	−	0.288112i
$474$	−10.0943	+	4.86115i	−0.463646	+	0.223280i
$475$	7.16544	+	8.98518i	0.328773	+	0.412268i
$476$	−2.19219	+	62.6039i	−0.100479	+	2.86945i
$477$	−5.27641	+	6.61641i	−0.241590	+	0.302945i
$478$	15.7959	−	69.2062i	0.722486	−	3.16542i
$479$	16.1255	−	20.2208i	0.736794	−	0.923910i	−0.262363	−	0.964969i	$-0.584502\pi$
$479$	16.1255	−	20.2208i	0.736794	−	0.923910i	0.999157	+	0.0410590i	$0.0130732\pi$
$480$	28.0683	−	13.5170i	1.28114	−	0.616963i
$481$	5.86673	+	7.35665i	0.267500	+	0.335434i
$482$	63.0398	+	30.3584i	2.87138	+	1.38279i
$483$	55.1314	+	14.6308i	2.50857	+	0.665727i
$484$	20.4032	−	9.82565i	0.927417	−	0.446621i
$485$	22.4294	+	10.8014i	1.01847	+	0.490468i
$486$	−7.20400	−	31.5628i	−0.326780	−	1.43172i
$487$	−22.1687	−	10.6759i	−1.00456	−	0.483770i	−0.142075	−	0.989856i	$-0.545378\pi$
$487$	−22.1687	−	10.6759i	−1.00456	−	0.483770i	−0.862483	+	0.506086i	$0.831092\pi$
$488$	42.6523	−	53.4842i	1.93078	−	2.42112i
$489$	28.3339			1.28130
$490$	−24.4335	+	9.72488i	−1.10379	+	0.439325i
$491$	15.6640			0.706906			0.353453	−	0.935452i	$-0.385007\pi$
$491$	15.6640			0.706906			0.353453	+	0.935452i	$0.385007\pi$
$492$	8.96219	−	11.2382i	0.404047	−	0.506659i
$493$	4.61214	+	2.22109i	0.207720	+	0.100033i
$494$	2.29352	+	10.0486i	0.103191	+	0.452107i
$495$	−16.7100	−	8.04710i	−0.751058	−	0.361690i
$496$	−52.3915	+	25.2304i	−2.35245	+	1.13288i
$497$	−25.2725	+	4.84460i	−1.13363	+	0.217310i
$498$	−74.9647	−	36.1011i	−3.35925	−	1.61773i
$499$	20.0882	+	25.1898i	0.899272	+	1.12765i	0.991264	+	0.131891i	$0.0421050\pi$
$499$	20.0882	+	25.1898i	0.899272	+	1.12765i	−0.0919924	+	0.995760i	$0.529324\pi$
$500$	47.8887	−	23.0620i	2.14165	−	1.03136i
$501$	5.06476	−	6.35100i	0.226277	−	0.283742i
$502$	−6.37030	+	27.9101i	−0.284320	+	1.24569i
$503$	16.9597	−	21.2668i	0.756194	−	0.948238i	−0.243571	−	0.969883i	$-0.578319\pi$
$503$	16.9597	−	21.2668i	0.756194	−	0.948238i	0.999766	+	0.0216453i	$0.00689044\pi$
$504$	−90.4161	+	17.3323i	−4.02746	+	0.772041i
$505$	4.21127	+	5.28076i	0.187399	+	0.234991i
$506$	−43.3045	+	20.8543i	−1.92512	+	0.927088i
$507$	−0.634992	+	2.78208i	−0.0282010	+	0.123557i
$508$	−55.0588			−2.44284
$509$	6.55011			0.290328			0.145164	−	0.989408i	$-0.453629\pi$
$509$	6.55011			0.290328			0.145164	+	0.989408i	$0.453629\pi$
$510$	12.2045	−	53.4714i	0.540425	−	2.36775i
$511$	30.1091	−	22.3332i	1.33195	−	0.987963i
$512$	−10.9873	−	48.1385i	−0.485574	−	2.12744i
$513$	5.44845	+	23.8712i	0.240555	+	1.05394i
$514$	31.0899	+	38.9856i	1.37132	+	1.71958i
$515$	−3.37710	−	4.23475i	−0.148813	−	0.186606i
$516$	7.64312	+	33.4867i	0.336470	+	1.47417i
$517$	−3.45359	−	15.1312i	−0.151889	−	0.665468i
$518$	−51.4770	+	38.1827i	−2.26177	+	1.67765i
$519$	5.25242	−	23.0124i	0.230556	−	1.01013i
$520$	9.87259			0.432942
$521$	−2.48984			−0.109082			−0.0545409	−	0.998512i	$-0.517370\pi$
$521$	−2.48984			−0.109082			−0.0545409	+	0.998512i	$0.517370\pi$
$522$	−2.94817	+	12.9168i	−0.129038	+	0.565351i
$523$	−1.67498	+	0.806629i	−0.0732418	+	0.0352714i	−0.470146	−	0.882589i	$-0.655799\pi$
$523$	−1.67498	+	0.806629i	−0.0732418	+	0.0352714i	0.396904	+	0.917860i	$0.370084\pi$
$524$	−17.1121	−	21.4579i	−0.747546	−	0.937393i
$525$	−21.2853	+	4.08028i	−0.928967	+	0.178078i
$526$	41.7165	−	52.3108i	1.81892	−	2.28086i
$527$	−8.11089	+	35.5361i	−0.353316	+	1.54798i
$528$	35.8852	−	44.9987i	1.56170	−	1.95832i
$529$	−30.7025	+	14.7855i	−1.33489	+	0.642849i
$530$	3.85412	+	4.83291i	0.167412	+	0.209928i
$531$	−70.5348	−	33.9678i	−3.06095	−	1.47408i
$532$	−48.1440	+	9.22894i	−2.08731	+	0.400125i
$533$	0.980644	−	0.472253i	0.0424764	−	0.0204556i
$534$	−47.9158	−	23.0751i	−2.07352	−	0.998555i
$535$	0.653451	+	2.86296i	0.0282511	+	0.123776i
$536$	−26.4481	−	12.7368i	−1.14239	−	0.550144i
$537$	2.06256	−	2.58637i	0.0890060	−	0.111610i
$538$	37.4210			1.61333
$539$	−11.7048	+	12.7368i	−0.504163	+	0.548611i
$540$	41.3023			1.77737
$541$	−6.57787	+	8.24839i	−0.282805	+	0.354626i	−0.902862	−	0.429931i	$-0.858538\pi$
$541$	−6.57787	+	8.24839i	−0.282805	+	0.354626i	0.620057	+	0.784557i	$0.287109\pi$
$542$	27.4230	+	13.2062i	1.17792	+	0.567256i
$543$	11.3935	+	49.9184i	0.488944	+	2.14220i
$544$	34.4843	+	16.6068i	1.47850	+	0.712009i
$545$	−5.10857	+	2.46016i	−0.218827	+	0.105382i
$546$	−18.7870	−	4.98571i	−0.804007	−	0.213369i
$547$	−2.59775	−	1.25101i	−0.111072	−	0.0534893i	0.377523	−	0.926000i	$-0.376776\pi$
$547$	−2.59775	−	1.25101i	−0.111072	−	0.0534893i	−0.488595	+	0.872511i	$0.662490\pi$
$548$	−33.0690	−	41.4672i	−1.41264	−	1.77139i
$549$	46.8548	−	22.5641i	1.99971	−	0.963012i
$550$	11.3865	−	14.2782i	0.485523	−	0.608826i
$551$	−0.891404	+	3.90550i	−0.0379751	+	0.166380i
$552$	90.9408	−	114.036i	3.87070	−	4.85370i
$553$	0.141202	−	4.03239i	0.00600452	−	0.171475i
$554$	−37.2854	−	46.7545i	−1.58411	−	1.98641i
$555$	35.3024	−	17.0007i	1.49850	−	0.721641i
$556$	2.07784	−	9.10360i	0.0881199	−	0.386079i
$557$	−27.2658			−1.15529			−0.577645	−	0.816288i	$-0.696028\pi$
$557$	−27.2658			−1.15529			−0.577645	+	0.816288i	$0.696028\pi$
$558$	−94.3378			−3.99364
$559$	−0.578745	+	2.53565i	−0.0244783	+	0.107247i
$560$	−1.10275	+	31.4919i	−0.0465997	+	1.33078i
$561$	−8.02794	−	35.1727i	−0.338940	−	1.48499i
$562$	13.7507	+	60.2458i	0.580039	+	2.54132i
$563$	3.77131	+	4.72907i	0.158942	+	0.199307i	0.854925	−	0.518751i	$-0.173603\pi$
$563$	3.77131	+	4.72907i	0.158942	+	0.199307i	−0.695984	+	0.718058i	$0.745031\pi$
$564$	51.7141	+	64.8474i	2.17756	+	2.73057i
$565$	−0.308430	−	1.35132i	−0.0129758	−	0.0568505i
$566$	16.7806	+	73.5205i	0.705340	+	3.09030i
$567$	−5.17286	−	1.37278i	−0.217240	−	0.0576513i
$568$	−14.6422	+	64.1518i	−0.614374	+	2.69175i
$569$	−28.4201			−1.19143			−0.595716	−	0.803195i	$-0.703132\pi$
$569$	−28.4201			−1.19143			−0.595716	+	0.803195i	$0.703132\pi$
$570$	42.9200			1.79772
$571$	−2.51219	+	11.0066i	−0.105132	+	0.460612i	0.894769	+	0.446529i	$0.147340\pi$
$571$	−2.51219	+	11.0066i	−0.105132	+	0.460612i	−0.999901	+	0.0140831i	$0.995517\pi$
$572$	10.3038	−	4.96206i	0.430825	−	0.207474i
$573$	−16.5909	−	20.8043i	−0.693094	−	0.869113i
$574$	2.98099	+	6.78806i	0.124424	+	0.283328i
$575$	13.5217	−	16.9556i	0.563893	−	0.707099i
$576$	−3.36117	+	14.7262i	−0.140049	+	0.613594i
$577$	−20.4659	+	25.6634i	−0.852006	+	1.06838i	0.144874	+	0.989450i	$0.453722\pi$
$577$	−20.4659	+	25.6634i	−0.852006	+	1.06838i	−0.996880	+	0.0789315i	$0.974849\pi$
$578$	21.2787	−	10.2473i	0.885076	−	0.426230i
$579$	−24.5102	−	30.7348i	−1.01861	−	1.27729i
$580$	6.08816	+	2.93190i	0.252797	+	0.121741i
$581$	24.0668	−	17.8514i	0.998460	−	0.740601i
$582$	−112.921	+	54.3797i	−4.68071	+	2.25411i
$583$	3.66345	+	1.76422i	0.151724	+	0.0730666i
$584$	−21.3310	−	93.4573i	−0.882684	−	3.86729i
$585$	6.76196	+	3.25639i	0.279573	+	0.134635i
$586$	18.4915	−	23.1876i	0.763877	−	0.957872i
$587$	7.44279			0.307197			0.153598	−	0.988133i	$-0.450914\pi$
$587$	7.44279			0.307197			0.153598	+	0.988133i	$0.450914\pi$
$588$	26.8246	−	88.4671i	1.10623	−	3.64832i
$589$	−28.5239			−1.17531
$590$	−35.6541	+	44.7088i	−1.46786	+	1.84063i
$591$	30.0635	+	14.4778i	1.23665	+	0.595538i
$592$	17.0893	+	74.8730i	0.702365	+	3.07726i
$593$	19.3518	+	9.31932i	0.794682	+	0.382699i	0.786751	−	0.617270i	$-0.211761\pi$
$593$	19.3518	+	9.31932i	0.794682	+	0.382699i	0.00793029	+	0.999969i	$0.497476\pi$
$594$	35.0558	−	16.8820i	1.43836	−	0.692676i
$595$	15.0023	+	12.8481i	0.615036	+	0.526720i
$596$	−78.9829	−	38.0362i	−3.23527	−	1.55802i
$597$	−24.0068	−	30.1035i	−0.982532	−	1.23206i
$598$	17.5239	−	8.43904i	0.716604	−	0.345098i
$599$	14.8657	−	18.6409i	0.607394	−	0.761648i	−0.379116	−	0.925349i	$-0.623772\pi$
$599$	14.8657	−	18.6409i	0.607394	−	0.761648i	0.986510	+	0.163701i	$0.0523433\pi$
$600$	−12.3321	+	54.0307i	−0.503458	+	2.20579i
$601$	3.54299	−	4.44277i	0.144522	−	0.181224i	−0.704302	−	0.709900i	$-0.748740\pi$
$601$	3.54299	−	4.44277i	0.144522	−	0.181224i	0.848824	+	0.528676i	$0.177311\pi$
$602$	−17.1228	−	4.54408i	−0.697875	−	0.185203i
$603$	−13.9138	−	17.4474i	−0.566615	−	0.710513i
$604$	−85.5750	+	41.2107i	−3.48200	+	1.67684i
$605$	1.58893	−	6.96154i	0.0645990	−	0.283027i
$606$	−34.0047			−1.38135
$607$	−20.7290			−0.841362			−0.420681	−	0.907209i	$-0.638209\pi$
$607$	−20.7290			−0.841362			−0.420681	+	0.907209i	$0.638209\pi$
$608$	−6.66490	+	29.2008i	−0.270297	+	1.18425i
$609$	−5.73790	−	4.91397i	−0.232511	−	0.199124i
$610$	−8.45283	−	37.0342i	−0.342245	−	1.49947i
$611$	1.39755	+	6.12307i	0.0565388	+	0.247713i
$612$	75.9243	+	95.2060i	3.06906	+	3.84848i
$613$	0.852174	+	1.06859i	0.0344190	+	0.0431600i	0.798743	−	0.601672i	$-0.205499\pi$
$613$	0.852174	+	1.06859i	0.0344190	+	0.0431600i	−0.764324	+	0.644832i	$0.776927\pi$
$614$	0.721193	+	3.15975i	0.0291050	+	0.127517i
$615$	−1.00856	−	4.41878i	−0.0406689	−	0.178182i
$616$	17.7858	+	40.5004i	0.716612	+	1.63181i
$617$	0.539879	−	2.36536i	0.0217347	−	0.0952259i	−0.962897	−	0.269868i	$-0.913020\pi$
$617$	0.539879	−	2.36536i	0.0217347	−	0.0952259i	0.984632	+	0.174642i	$0.0558770\pi$
$618$	27.2691			1.09692
$619$	25.9072			1.04130			0.520648	−	0.853771i	$-0.325690\pi$
$619$	25.9072			1.04130			0.520648	+	0.853771i	$0.325690\pi$
$620$	−10.7066	+	46.9087i	−0.429988	+	1.88390i
$621$	41.6293	−	20.0476i	1.67053	−	0.804483i
$622$	6.70353	+	8.40597i	0.268787	+	0.337048i
$623$	15.3830	−	11.4102i	0.616307	−	0.457141i
$624$	−14.5215	+	18.2094i	−0.581327	+	0.728961i
$625$	0.535576	−	2.34651i	0.0214230	−	0.0938604i
$626$	−33.7602	+	42.3339i	−1.34933	+	1.69200i
$627$	25.4363	−	12.2495i	1.01583	−	0.489197i
$628$	5.62494	+	7.05345i	0.224459	+	0.281463i
$629$	43.3720	+	20.8869i	1.72935	+	0.832813i
$630$	−23.7789	+	45.2541i	−0.947374	+	1.80297i
$631$	2.50151	−	1.20466i	0.0995835	−	0.0479569i	−0.383429	−	0.923570i	$-0.625257\pi$
$631$	2.50151	−	1.20466i	0.0995835	−	0.0479569i	0.483012	+	0.875614i	$0.339543\pi$
$632$	−9.29588	−	4.47666i	−0.369770	−	0.178072i
$633$	−9.13436	−	40.0203i	−0.363058	−	1.59066i
$634$	42.6219	+	20.5256i	1.69273	+	0.815176i
$635$	−10.8243	+	13.5733i	−0.429550	+	0.538639i
$636$	−21.7300			−0.861651
$637$	4.73655	−	5.15413i	0.187669	−	0.204214i
$638$	6.36578			0.252024
$639$	−31.1887	+	39.1094i	−1.23381	+	1.54714i
$640$	−9.73135	−	4.68637i	−0.384665	−	0.185245i
$641$	1.77510	+	7.77720i	0.0701120	+	0.307181i	0.997810	−	0.0661518i	$-0.0210721\pi$
$641$	1.77510	+	7.77720i	0.0701120	+	0.307181i	−0.927698	+	0.373333i	$0.878215\pi$
$642$	−13.3201	−	6.41462i	−0.525702	−	0.253165i
$643$	21.2040	−	10.2113i	0.836204	−	0.402695i	0.0337659	−	0.999430i	$-0.489250\pi$
$643$	21.2040	−	10.2113i	0.836204	−	0.402695i	0.802438	+	0.596735i	$0.203536\pi$
$644$	37.1952	+	84.6978i	1.46570	+	3.33756i
$645$	9.75785	+	4.69913i	0.384215	+	0.185028i
$646$	32.8772	+	41.2267i	1.29354	+	1.62204i
$647$	5.77598	−	2.78157i	0.227077	−	0.109355i	−0.316886	−	0.948464i	$-0.602637\pi$
$647$	5.77598	−	2.78157i	0.227077	−	0.109355i	0.543963	+	0.839109i	$0.316923\pi$
$648$	−8.53277	+	10.6998i	−0.335199	+	0.420326i
$649$	−8.37018	+	36.6722i	−0.328558	+	1.43951i
$650$	−4.60774	+	5.77792i	−0.180730	+	0.226629i
$651$	25.0208	−	47.6177i	0.980644	−	1.86629i
$652$	28.6500	+	35.9260i	1.12202	+	1.40697i
$653$	24.4304	−	11.7651i	0.956036	−	0.460403i	0.110237	−	0.993905i	$-0.464839\pi$
$653$	24.4304	−	11.7651i	0.956036	−	0.460403i	0.845798	+	0.533503i	$0.179125\pi$
$654$	6.35208	−	27.8303i	0.248386	−	1.08825i
$655$	−8.65404			−0.338141
$656$	8.88358			0.346845
$657$	16.2160	−	71.0469i	0.632646	−	2.77180i
$658$	−42.0144	+	8.05392i	−1.63789	+	0.313975i
$659$	−0.0227297	−	0.0995853i	−0.000885423	−	0.00387929i	0.974483	−	0.224460i	$-0.0720619\pi$
$659$	−0.0227297	−	0.0995853i	−0.000885423	−	0.00387929i	−0.975369	+	0.220581i	$0.929205\pi$
$660$	−10.5971	−	46.4290i	−0.412492	−	1.80725i
$661$	−2.33732	−	2.93091i	−0.0909112	−	0.113999i	0.734295	−	0.678830i	$-0.237513\pi$
$661$	−2.33732	−	2.93091i	−0.0909112	−	0.113999i	−0.825207	+	0.564831i	$0.808941\pi$
$662$	12.9999	+	16.3013i	0.505254	+	0.633568i
$663$	3.24864	+	14.2332i	0.126167	+	0.552772i
$664$	−17.0503	−	74.7024i	−0.661681	−	2.89901i
$665$	−7.18976	+	13.6830i	−0.278807	+	0.530603i
$666$	−27.7242	+	121.468i	−1.07429	+	4.70677i
$667$	7.55946			0.292704
$668$	13.1740			0.509717
$669$	13.6791	−	59.9319i	0.528863	−	2.31710i
$670$	−14.6863	+	7.07257i	−0.567383	+	0.273237i
$671$	−15.5792	−	19.5357i	−0.601427	−	0.754166i
$672$	−42.9014	−	36.7410i	−1.65496	−	1.41732i
$673$	−21.2776	+	26.6813i	−0.820192	+	1.02849i	0.178813	+	0.983883i	$0.442774\pi$
$673$	−21.2776	+	26.6813i	−0.820192	+	1.02849i	−0.999005	+	0.0446052i	$0.985797\pi$
$674$	19.3630	−	84.8349i	0.745835	−	3.26772i
$675$	−10.9460	+	13.7259i	−0.421313	+	0.528310i
$676$	−4.16961	+	2.00798i	−0.160370	+	0.0772300i
$677$	7.35712	+	9.22553i	0.282757	+	0.354566i	0.902845	−	0.429966i	$-0.141475\pi$
$677$	7.35712	+	9.22553i	0.282757	+	0.354566i	−0.620088	+	0.784532i	$0.712903\pi$
$678$	6.28711	+	3.02771i	0.241455	+	0.116279i
$679$	1.57957	−	45.1087i	0.0606182	−	1.73111i
$680$	45.5065	−	21.9148i	1.74510	−	0.840394i
$681$	23.5433	+	11.3379i	0.902181	+	0.434468i
$682$	10.0862	+	44.1905i	0.386220	+	1.69214i
$683$	−31.3085	−	15.0774i	−1.19799	−	0.576921i	−0.274886	−	0.961477i	$-0.588640\pi$
$683$	−31.3085	−	15.0774i	−1.19799	−	0.576921i	−0.923102	+	0.384556i	$0.874355\pi$
$684$	−59.4144	+	74.5033i	−2.27177	+	2.84870i
$685$	−16.7239			−0.638986
$686$	33.9564	+	33.4715i	1.29646	+	1.27795i
$687$	−8.08393			−0.308421
$688$	−13.2352	+	16.5965i	−0.504589	+	0.632735i
$689$	−1.48247	−	0.713921i	−0.0564777	−	0.0271982i
$690$	−18.0226	−	78.9624i	−0.686110	−	3.00605i
$691$	−17.1960	−	8.28113i	−0.654165	−	0.315029i	0.0771999	−	0.997016i	$-0.475402\pi$
$691$	−17.1960	−	8.28113i	−0.654165	−	0.315029i	−0.731365	+	0.681986i	$0.761116\pi$
$692$	34.4895	−	16.6093i	1.31109	−	0.631390i
$693$	−1.17678	+	33.6061i	−0.0447023	+	1.27659i
$694$	52.4121	+	25.2403i	1.98953	+	0.958110i
$695$	−1.83575	−	2.30196i	−0.0696341	−	0.0873184i
$696$	−17.4047	+	8.38168i	−0.659725	+	0.317707i
$697$	3.47187	−	4.35359i	0.131507	−	0.164904i
$698$	−6.88132	+	30.1490i	−0.260462	+	1.14116i
$699$	−38.3850	+	48.1333i	−1.45186	+	1.82057i
$700$	−26.6963	−	22.8629i	−1.00903	−	0.864136i
$701$	25.2864	+	31.7082i	0.955055	+	1.19760i	0.980219	+	0.197917i	$0.0634178\pi$
$701$	25.2864	+	31.7082i	0.955055	+	1.19760i	−0.0251640	+	0.999683i	$0.508011\pi$
$702$	−14.1859	+	6.83156i	−0.535412	+	0.257841i
$703$	−8.38265	+	36.7268i	−0.316158	+	1.38518i
$704$	7.25755			0.273529
$705$	26.1532			0.984985
$706$	1.79928	−	7.88316i	0.0677168	−	0.296686i
$707$	5.69630	−	10.8408i	0.214231	−	0.407709i
$708$	−44.7317	−	195.982i	−1.68112	−	7.36546i
$709$	−9.58154	−	41.9795i	−0.359842	−	1.57657i	−0.753584	−	0.657351i	$-0.771677\pi$
$709$	−9.58154	−	41.9795i	−0.359842	−	1.57657i	0.393742	−	0.919221i	$-0.371180\pi$
$710$	22.7816	+	28.5672i	0.854978	+	1.07211i
$711$	−4.89037	−	6.13233i	−0.183403	−	0.229980i
$712$	−10.8982	−	47.7482i	−0.408428	−	1.78944i
$713$	11.9775	+	52.4769i	0.448561	+	1.96528i
$714$	−97.6633	+	18.7215i	−3.65496	+	0.700635i
$715$	0.802425	−	3.51565i	0.0300090	−	0.131478i
$716$	5.36495			0.200497
$717$	78.6831			2.93847
$718$	−1.63455	+	7.16144i	−0.0610010	+	0.267263i
$719$	7.18394	−	3.45960i	0.267916	−	0.129021i	−0.295103	−	0.955465i	$-0.595354\pi$
$719$	7.18394	−	3.45960i	0.267916	−	0.129021i	0.563019	+	0.826444i	$0.309640\pi$
$720$	38.1925	+	47.8919i	1.42335	+	1.78483i
$721$	−4.56798	+	8.69343i	−0.170121	+	0.323760i
$722$	4.77005	−	5.98145i	0.177523	−	0.222606i
$723$	−17.2578	+	75.6112i	−0.641823	+	2.81201i
$724$	−51.7733	+	64.9217i	−1.92414	+	2.41280i
$725$	−2.58785	+	1.24624i	−0.0961104	+	0.0462843i
$726$	22.4139	+	28.1061i	0.831858	+	1.04312i
$727$	13.8364	+	6.66328i	0.513165	+	0.247127i	0.672500	−	0.740097i	$-0.265221\pi$
$727$	13.8364	+	6.66328i	0.513165	+	0.247127i	−0.159335	+	0.987225i	$0.550935\pi$
$728$	−7.19732	−	16.3891i	−0.266751	−	0.607422i
$729$	37.7987	−	18.2029i	1.39995	−	0.674181i
$730$	−47.9589	−	23.0958i	−1.77504	−	0.854813i
$731$	2.96088	+	12.9724i	0.109512	+	0.479803i
$732$	120.311	+	57.9387i	4.44682	+	2.14147i
$733$	8.44084	−	10.5845i	0.311770	−	0.390947i	−0.601116	−	0.799162i	$-0.705277\pi$
$733$	8.44084	−	10.5845i	0.311770	−	0.390947i	0.912886	+	0.408215i	$0.133849\pi$
$734$	−49.9204			−1.84260
$735$	−16.5356	−	24.0051i	−0.609924	−	0.885443i
$736$	56.5210			2.08339
$737$	−6.68524	+	8.38303i	−0.246254	+	0.308793i
$738$	12.9847	+	6.25311i	0.477974	+	0.230180i
$739$	0.719372	+	3.15178i	0.0264625	+	0.115940i	0.986434	−	0.164157i	$-0.0524904\pi$
$739$	0.719372	+	3.15178i	0.0264625	+	0.115940i	−0.959972	+	0.280097i	$0.909633\pi$
$740$	57.2523	+	27.5713i	2.10464	+	1.01354i
$741$	−10.2932	+	4.95695i	−0.378131	+	0.182098i
$742$	5.21321	−	9.92138i	0.191383	−	0.364225i
$743$	−29.8760	−	14.3875i	−1.09604	−	0.527826i	−0.203631	−	0.979048i	$-0.565274\pi$
$743$	−29.8760	−	14.3875i	−1.09604	−	0.527826i	−0.892412	+	0.451221i	$0.850989\pi$
$744$	−85.7614	−	107.541i	−3.14417	−	3.94266i
$745$	−24.9045	+	11.9934i	−0.912430	+	0.439403i
$746$	21.3600	−	26.7846i	0.782045	−	0.980653i
$747$	12.9618	−	56.7892i	0.474247	−	2.07781i
$748$	36.4797	−	45.7441i	1.33383	−	1.67257i
$749$	4.27631	−	3.17192i	0.156253	−	0.115900i
$750$	52.6081	+	65.9685i	1.92098	+	2.40883i
$751$	−19.4344	+	9.35910i	−0.709170	+	0.341518i	−0.753454	−	0.657501i	$-0.771614\pi$
$751$	−19.4344	+	9.35910i	−0.709170	+	0.341518i	0.0442837	+	0.999019i	$0.485899\pi$
$752$	−11.4065	+	49.9753i	−0.415953	+	1.82241i
$753$	−31.7320			−1.15638
$754$	−2.57602			−0.0938129
$755$	−6.66427	+	29.1981i	−0.242538	+	1.06263i
$756$	−30.1102	−	68.5645i	−1.09510	−	2.49367i
$757$	−4.03013	−	17.6572i	−0.146478	−	0.641760i	−0.993847	−	0.110757i	$-0.964672\pi$
$757$	−4.03013	−	17.6572i	−0.146478	−	0.641760i	0.847370	−	0.531003i	$-0.178185\pi$
$758$	10.3614	+	45.3963i	0.376343	+	1.64887i
$759$	−33.2170	−	41.6529i	−1.20570	−	1.51190i
$760$	24.6436	+	30.9021i	0.893918	+	1.12094i
$761$	5.28826	+	23.1694i	0.191699	+	0.839889i	0.975697	+	0.219125i	$0.0703204\pi$
$761$	5.28826	+	23.1694i	0.191699	+	0.839889i	−0.783997	+	0.620764i	$0.786823\pi$
$762$	−19.4490	−	85.2118i	−0.704564	−	3.08690i
$763$	7.80827	+	6.68705i	0.282678	+	0.242087i
$764$	9.60284	−	42.0728i	0.347419	−	1.52214i
$765$	38.3969			1.38824
$766$	−24.1821			−0.873735
$767$	3.38713	−	14.8400i	0.122302	−	0.535841i
$768$	64.0940	−	30.8660i	2.31279	−	1.11378i
$769$	15.8013	+	19.8141i	0.569808	+	0.714516i	0.980337	−	0.197331i	$-0.0632274\pi$
$769$	15.8013	+	19.8141i	0.569808	+	0.714516i	−0.410529	+	0.911848i	$0.634656\pi$
$770$	23.7407	+	6.30033i	0.855554	+	0.227048i
$771$	−34.4611	+	43.2128i	−1.24108	+	1.55627i
$772$	14.1865	−	62.1553i	0.510585	−	2.23702i
$773$	−6.67182	+	8.36619i	−0.239969	+	0.300911i	−0.887202	−	0.461380i	$-0.847354\pi$
$773$	−6.67182	+	8.36619i	−0.239969	+	0.300911i	0.647234	+	0.762292i	$0.275926\pi$
$774$	−31.0276	+	14.9421i	−1.11526	+	0.537082i
$775$	−12.7516	−	15.9900i	−0.458050	−	0.574377i
$776$	−103.989	−	50.0785i	−3.73299	−	1.79771i
$777$	−53.9585	−	46.2104i	−1.93575	−	1.65779i
$778$	41.8428	−	20.1504i	1.50014	−	0.722428i
$779$	3.92605	+	1.89068i	0.140665	+	0.0677408i
$780$	4.28829	+	18.7882i	0.153546	+	0.672727i
$781$	21.6545	+	10.4283i	0.774860	+	0.373153i
$782$	62.0415	−	77.7975i	2.21860	−	2.78203i
$783$	−6.11953			−0.218694
$784$	53.0826	−	21.1276i	1.89581	−	0.754559i
$785$	2.84468			0.101531
$786$	27.1646	−	34.0634i	0.968930	−	1.21500i
$787$	−47.1575	−	22.7099i	−1.68098	−	0.809520i	−0.996776	−	0.0802332i	$-0.974433\pi$
$787$	−47.1575	−	22.7099i	−1.68098	−	0.809520i	−0.684209	−	0.729286i	$-0.739852\pi$
$788$	12.0417	+	52.7583i	0.428969	+	1.87944i
$789$	66.8185	+	32.1781i	2.37880	+	1.14557i
$790$	−5.16189	+	2.48584i	−0.183652	+	0.0884421i
$791$	−2.01843	+	1.49715i	−0.0717670	+	0.0532327i
$792$	77.4723	+	37.3087i	2.75286	+	1.32571i
$793$	6.30436	+	7.90542i	0.223875	+	0.280730i
$794$	30.5073	−	14.6915i	1.08266	−	0.521383i
$795$	−4.27203	+	5.35695i	−0.151513	+	0.189991i
$796$	13.8952	−	60.8787i	0.492501	−	2.15779i
$797$	26.1516	−	32.7930i	0.926336	−	1.16159i	−0.0602233	−	0.998185i	$-0.519181\pi$
$797$	26.1516	−	32.7930i	0.926336	−	1.16159i	0.986559	−	0.163404i	$-0.0522473\pi$
$798$	−31.2896	−	71.2500i	−1.10764	−	2.52222i
$799$	20.0336	+	25.1213i	0.708737	+	0.888729i
$800$	−19.3490	+	9.31798i	−0.684090	+	0.329441i
$801$	8.28489	−	36.2985i	0.292732	−	1.28254i
$802$	96.2389			3.39831
$803$	−35.0141			−1.23562
$804$	12.7508	−	55.8651i	0.449687	−	1.97021i
$805$	28.1924	+	7.48174i	0.993652	+	0.263697i
$806$	−4.08154	−	17.8824i	−0.143766	−	0.629881i
$807$	9.22985	+	40.4386i	0.324906	+	1.42351i
$808$	−19.5246	−	24.4831i	−0.686875	−	0.861314i
$809$	−8.05559	−	10.1014i	−0.283219	−	0.355146i	0.619789	−	0.784768i	$-0.287218\pi$
$809$	−8.05559	−	10.1014i	−0.283219	−	0.355146i	−0.903009	+	0.429622i	$0.858647\pi$
$810$	1.69102	+	7.40886i	0.0594165	+	0.260321i
$811$	−7.45176	−	32.6483i	−0.261667	−	1.14644i	−0.919443	−	0.393223i	$-0.871360\pi$
$811$	−7.45176	−	32.6483i	−0.261667	−	1.14644i	0.657776	−	0.753213i	$-0.271497\pi$
$812$	0.428752	−	12.2441i	0.0150462	−	0.429685i
$813$	−7.50732	+	32.8917i	−0.263293	+	1.15356i
$814$	59.8630			2.09820
$815$	14.4891			0.507530
$816$	−26.5147	+	116.169i	−0.928201	+	4.06671i
$817$	−9.38146	+	4.51787i	−0.328216	+	0.158060i
$818$	55.9004	+	70.0968i	1.95451	+	2.45088i
$819$	0.476204	−	13.5993i	0.0166399	−	0.475197i
$820$	4.58298	−	5.74687i	0.160044	−	0.200689i
$821$	−1.80771	+	7.92008i	−0.0630894	+	0.276413i	−0.996627	−	0.0820674i	$-0.973848\pi$
$821$	−1.80771	+	7.92008i	−0.0630894	+	0.276413i	0.933537	+	0.358480i	$0.116705\pi$
$822$	52.4954	−	65.8271i	1.83099	−	2.29598i
$823$	17.5567	−	8.45485i	0.611987	−	0.294717i	−0.102100	−	0.994774i	$-0.532556\pi$
$823$	17.5567	−	8.45485i	0.611987	−	0.294717i	0.714087	+	0.700057i	$0.246842\pi$
$824$	15.6572	+	19.6335i	0.545445	+	0.683966i
$825$	18.2381	+	8.78302i	0.634970	+	0.305785i
$826$	100.212	+	26.5944i	3.48682	+	0.925338i
$827$	−32.5549	+	15.6776i	−1.13205	+	0.545164i	−0.903594	−	0.428391i	$-0.859081\pi$
$827$	−32.5549	+	15.6776i	−1.13205	+	0.545164i	−0.228452	+	0.973555i	$0.573366\pi$
$828$	162.017	+	78.0231i	5.63046	+	2.71149i
$829$	5.46939	+	23.9630i	0.189960	+	0.832268i	0.976636	+	0.214902i	$0.0689432\pi$
$829$	5.46939	+	23.9630i	0.189960	+	0.832268i	−0.786676	+	0.617366i	$0.788200\pi$
$830$	−38.3345	−	18.4609i	−1.33061	−	0.640788i
$831$	41.3283	−	51.8241i	1.43366	−	1.79776i
$832$	−2.93689			−0.101818
$833$	10.3916	−	34.2714i	0.360049	−	1.18743i
$834$	14.8232			0.513284
$835$	2.58995	−	3.24770i	0.0896290	−	0.112391i
$836$	41.2518	+	19.8658i	1.42672	+	0.687073i
$837$	−9.69602	−	42.4810i	−0.335143	−	1.46836i
$838$	−60.2359	−	29.0081i	−2.08081	−	1.00207i
$839$	−34.7995	+	16.7585i	−1.20141	+	0.578569i	−0.924078	−	0.382205i	$-0.875165\pi$
$839$	−34.7995	+	16.7585i	−1.20141	+	0.578569i	−0.277333	+	0.960774i	$0.589451\pi$
$840$	−73.2051	+	14.0330i	−2.52582	+	0.484185i
$841$	25.2260	+	12.1482i	0.869864	+	0.418904i
$842$	−10.3438	−	12.9708i	−0.356472	−	0.447002i
$843$	−61.7125	+	29.7192i	−2.12549	+	1.02358i
$844$	41.5074	−	52.0486i	1.42874	−	1.79159i
$845$	−0.324714	+	1.42267i	−0.0111705	+	0.0489412i
$846$	−51.8498	+	65.0176i	−1.78263	+	2.23535i
$847$	−12.7150	+	2.43739i	−0.436891	+	0.0837496i
$848$	−8.37321	−	10.4997i	−0.287537	−	0.360560i
$849$	−75.3103	+	36.2675i	−2.58464	+	1.24470i
$850$	−8.41322	+	36.8607i	−0.288571	+	1.26431i
$851$	71.0883			2.43688
$852$	−128.445			−4.40047
$853$	0.970252	−	4.25095i	0.0332208	−	0.145550i	−0.955598	−	0.294675i	$-0.904789\pi$
$853$	0.970252	−	4.25095i	0.0332208	−	0.145550i	0.988818	+	0.149125i	$0.0476458\pi$
$854$	−55.3169	+	41.0310i	−1.89291	+	1.40405i
$855$	6.68617	+	29.2940i	0.228662	+	1.00184i
$856$	−3.02959	−	13.2735i	−0.103549	−	0.453678i
$857$	−20.7067	−	25.9654i	−0.707328	−	0.886962i	0.290219	−	0.956960i	$-0.406272\pi$
$857$	−20.7067	−	25.9654i	−0.707328	−	0.886962i	−0.997547	+	0.0699988i	$0.977700\pi$
$858$	11.3193	+	14.1939i	0.386433	+	0.484572i
$859$	5.90565	+	25.8743i	0.201498	+	0.882821i	0.970025	+	0.243004i	$0.0781327\pi$
$859$	5.90565	+	25.8743i	0.201498	+	0.882821i	−0.768527	+	0.639817i	$0.779010\pi$
$860$	3.90844	+	17.1240i	0.133277	+	0.583924i
$861$	−6.60019	+	4.89565i	−0.224934	+	0.166843i
$862$	6.04438	−	26.4821i	0.205872	−	0.901985i
$863$	−53.2556			−1.81284			−0.906421	−	0.422376i	$-0.861196\pi$
$863$	−53.2556			−1.81284			−0.906421	+	0.422376i	$0.861196\pi$
$864$	−45.7548			−1.55661
$865$	2.68592	−	11.7678i	0.0913239	−	0.400116i
$866$	−23.1327	+	11.1401i	−0.786080	+	0.378556i
$867$	16.3220	+	20.4671i	0.554323	+	0.695100i
$868$	85.6768	−	16.4238i	2.90806	−	0.557459i
$869$	−2.34970	+	2.94643i	−0.0797081	+	0.0999508i
$870$	−2.38697	+	10.4580i	−0.0809259	+	0.354559i
$871$	2.70529	−	3.39233i	0.0916653	−	0.114945i
$872$	23.6848	−	11.4060i	0.802068	−	0.386256i
$873$	−54.7065	−	68.5998i	−1.85154	−	2.32175i
$874$	70.1574	+	33.7860i	2.37311	+	1.14283i
$875$	−29.8435	+	5.72084i	−1.00890	+	0.193400i
$876$	168.590	−	81.1889i	5.69614	−	2.74312i
$877$	−42.6868	−	20.5569i	−1.44143	−	0.694156i	−0.460346	−	0.887740i	$-0.652275\pi$
$877$	−42.6868	−	20.5569i	−1.44143	−	0.694156i	−0.981084	+	0.193584i	$0.937989\pi$
$878$	−8.35612	−	36.6106i	−0.282005	−	1.23555i
$879$	29.6184	+	14.2635i	0.999004	+	0.481095i
$880$	18.3506	−	23.0109i	0.618597	−	0.775696i
$881$	22.4773			0.757279			0.378640	−	0.925544i	$-0.376392\pi$
$881$	22.4773			0.757279			0.378640	+	0.925544i	$0.376392\pi$
$882$	92.4601	+	6.48328i	3.11329	+	0.218303i
$883$	−13.8664			−0.466643			−0.233322	−	0.972400i	$-0.574959\pi$
$883$	−13.8664			−0.466643			−0.233322	+	0.972400i	$0.574959\pi$
$884$	−14.7621	+	18.5111i	−0.496503	+	0.622595i
$885$	−57.1082	−	27.5019i	−1.91967	−	0.924465i
$886$	−10.8084	−	47.3545i	−0.363114	−	1.59091i
$887$	10.9428	+	5.26980i	0.367425	+	0.176942i	0.608480	−	0.793569i	$-0.291779\pi$
$887$	10.9428	+	5.26980i	0.367425	+	0.176942i	−0.241056	+	0.970511i	$0.577494\pi$
$888$	−163.672	+	78.8203i	−5.49248	+	2.64504i
$889$	30.4237	+	8.07387i	1.02038	+	0.270789i
$890$	−24.5026	−	11.7998i	−0.821329	−	0.395531i
$891$	3.11668	+	3.90819i	0.104413	+	0.130929i
$892$	89.8222	−	43.2561i	3.00747	−	1.44832i
$893$	−15.6772	+	19.6586i	−0.524619	+	0.657851i
$894$	30.9667	−	135.674i	1.03568	−	4.53761i
$895$	1.05473	−	1.32258i	0.0352556	−	0.0442091i
$896$	−0.685320	+	19.5711i	−0.0228949	+	0.653825i
$897$	13.4418	+	16.8555i	0.448809	+	0.562789i
$898$	−49.5429	+	23.8586i	−1.65327	+	0.796172i
$899$	1.58634	−	6.95019i	0.0529073	−	0.231802i
$900$	−68.3264			−2.27755
$901$	−8.41801			−0.280445
$902$	1.54086	−	6.75097i	0.0513052	−	0.224783i
$903$	0.687186	−	19.6244i	0.0228681	−	0.653060i
$904$	1.42997	+	6.26511i	0.0475601	+	0.208375i
$905$	5.82629	+	25.5267i	0.193673	+	0.848535i
$906$	−94.0083	−	117.883i	−3.12322	−	3.91639i
$907$	−2.99256	−	3.75255i	−0.0993663	−	0.124601i	0.729662	−	0.683808i	$-0.239677\pi$
$907$	−2.99256	−	3.75255i	−0.0993663	−	0.124601i	−0.829028	+	0.559206i	$0.811106\pi$
$908$	9.43012	+	41.3160i	0.312949	+	1.37112i
$909$	−5.29732	−	23.2091i	−0.175701	−	0.769797i
$910$	−9.60704	−	2.54953i	−0.318470	−	0.0845161i
$911$	11.9961	−	52.5583i	0.397448	−	1.74134i	−0.239935	−	0.970789i	$-0.577126\pi$
$911$	11.9961	−	52.5583i	0.397448	−	1.74134i	0.637384	−	0.770546i	$-0.280017\pi$
$912$	−93.2453			−3.08766
$913$	−27.9875			−0.926251
$914$	−16.3716	+	71.7287i	−0.541524	+	2.37257i
$915$	37.9358	−	18.2689i	1.25412	−	0.603952i
$916$	−8.17411	−	10.2500i	−0.270080	−	0.338670i
$917$	6.30897	+	14.3663i	0.208341	+	0.474416i
$918$	−50.2237	+	62.9785i	−1.65763	+	2.07860i
$919$	11.5176	−	50.4621i	0.379932	−	1.66459i	−0.317744	−	0.948177i	$-0.602925\pi$
$919$	11.5176	−	50.4621i	0.379932	−	1.66459i	0.697676	−	0.716414i	$-0.254218\pi$
$920$	46.5042	−	58.3144i	1.53320	−	1.92257i
$921$	−3.23668	+	1.55870i	−0.106652	+	0.0513610i
$922$	−54.7503	−	68.6547i	−1.80311	−	2.26102i
$923$	−8.76285	−	4.21997i	−0.288433	−	0.138902i
$924$	−69.3496	+	51.4396i	−2.28143	+	1.69224i
$925$	−24.3358	+	11.7195i	−0.800158	+	0.385336i
$926$	49.0865	+	23.6388i	1.61308	+	0.776820i
$927$	4.24803	+	18.6119i	0.139524	+	0.611293i
$928$	−6.74448	−	3.24797i	−0.221398	−	0.106620i
$929$	−24.3208	+	30.4973i	−0.797940	+	1.00059i	0.201836	+	0.979419i	$0.435309\pi$
$929$	−24.3208	+	30.4973i	−0.797940	+	1.00059i	−0.999776	+	0.0211658i	$0.993262\pi$
$930$	−76.3802			−2.50461
$931$	27.9561	+	1.96028i	0.916225	+	0.0642454i
$932$	−99.8438			−3.27049
$933$	−7.43040	+	9.31743i	−0.243261	+	0.305039i
$934$	−39.2924	−	18.9222i	−1.28569	−	0.619154i
$935$	−4.10523	−	17.9862i	−0.134255	−	0.588211i
$936$	−31.3504	−	15.0976i	−1.02472	−	0.493479i
$937$	−33.2848	+	16.0291i	−1.08737	+	0.523648i	−0.889665	−	0.456614i	$-0.849062\pi$
$937$	−33.2848	+	16.0291i	−1.08737	+	0.523648i	−0.197702	+	0.980262i	$0.563348\pi$
$938$	22.4476	+	19.2242i	0.732939	+	0.627693i
$939$	−54.0747	−	26.0410i	−1.76466	−	0.849815i
$940$	26.4449	+	33.1609i	0.862538	+	1.08159i
$941$	−23.8047	+	11.4637i	−0.776011	+	0.373707i	−0.779593	−	0.626286i	$-0.784574\pi$
$941$	−23.8047	+	11.4637i	−0.776011	+	0.373707i	0.00358196	+	0.999994i	$0.498860\pi$
$942$	−8.92931	+	11.1970i	−0.290933	+	0.364818i
$943$	1.82980	−	8.01688i	0.0595865	−	0.261066i
$944$	77.4598	−	97.1315i	2.52110	−	3.16136i
$945$	−22.8223	−	6.05661i	−0.742409	−	0.197021i
$946$	10.3166	+	12.9366i	0.335423	+	0.420607i
$947$	−5.13545	+	2.47310i	−0.166880	+	0.0803651i	−0.515459	−	0.856914i	$-0.672379\pi$
$947$	−5.13545	+	2.47310i	−0.166880	+	0.0803651i	0.348579	+	0.937279i	$0.386664\pi$
$948$	4.48161	−	19.6352i	0.145556	−	0.637722i
$949$	14.1690			0.459946
$950$	−29.5871			−0.959932
$951$	−11.6682	+	51.1215i	−0.378366	+	1.65773i
$952$	−69.5552	−	59.5674i	−2.25430	−	1.93059i
$953$	−3.48093	−	15.2509i	−0.112758	−	0.494026i	−0.999496	−	0.0317529i	$-0.989891\pi$
$953$	−3.48093	−	15.2509i	−0.112758	−	0.494026i	0.886737	−	0.462273i	$-0.152966\pi$
$954$	−4.84807	−	21.2408i	−0.156962	−	0.687696i
$955$	−8.48405	−	10.6387i	−0.274537	−	0.344259i
$956$	79.5608	+	99.7661i	2.57318	+	3.22667i
$957$	1.57011	+	6.87912i	0.0507546	+	0.222370i
$958$	14.8164	+	64.9151i	0.478698	+	2.09731i
$959$	12.1920	+	27.7627i	0.393701	+	0.896503i
$960$	−2.72136	+	11.9230i	−0.0878314	+	0.384815i
$961$	19.7609			0.637448
$962$	−24.2245			−0.781030
$963$	2.30311	−	10.0906i	0.0742167	−	0.325165i
$964$	−113.321	+	54.5727i	−3.64984	+	1.75767i
$965$	−12.5337	−	15.7168i	−0.403475	−	0.505941i
$966$	−117.944	+	87.4839i	−3.79478	+	2.81475i
$967$	−9.69450	+	12.1565i	−0.311754	+	0.390927i	−0.912881	−	0.408227i	$-0.866147\pi$
$967$	−9.69450	+	12.1565i	−0.311754	+	0.390927i	0.601126	+	0.799154i	$0.294719\pi$
$968$	−7.36671	+	32.2757i	−0.236775	+	1.03738i
$969$	−36.4421	+	45.6969i	−1.17069	+	1.46800i
$970$	−57.7439	+	27.8080i	−1.85405	+	0.892861i
$971$	−7.00546	−	8.78457i	−0.224816	−	0.281910i	0.656612	−	0.754228i	$-0.271989\pi$
$971$	−7.00546	−	8.78457i	−0.224816	−	0.281910i	−0.881428	+	0.472318i	$0.843417\pi$
$972$	52.4336	+	25.2507i	1.68181	+	0.809917i
$973$	−2.48310	+	4.72565i	−0.0796046	+	0.151497i
$974$	57.0727	−	27.4848i	1.82873	−	0.880668i
$975$	−7.38035	−	3.55419i	−0.236360	−	0.113825i
$976$	18.3641	+	80.4582i	0.587819	+	2.57541i
$977$	−11.0111	−	5.30268i	−0.352277	−	0.169648i	0.249373	−	0.968408i	$-0.419775\pi$
$977$	−11.0111	−	5.30268i	−0.352277	−	0.169648i	−0.601650	+	0.798760i	$0.705490\pi$
$978$	−45.4805	+	57.0307i	−1.45430	+	1.82364i
$979$	−17.8890			−0.571736
$980$	13.7173	−	45.2392i	0.438182	−	1.44511i
$981$	19.9844			0.638054
$982$	−25.1432	+	31.5286i	−0.802352	+	1.00612i
$983$	−34.2900	−	16.5132i	−1.09368	−	0.526689i	−0.202015	−	0.979382i	$-0.564749\pi$
$983$	−34.2900	−	16.5132i	−1.09368	−	0.526689i	−0.891666	+	0.452693i	$0.850463\pi$
$984$	4.67596	+	20.4867i	0.149064	+	0.653093i
$985$	15.3735	+	7.40349i	0.489840	+	0.235895i
$986$	−11.8738	+	5.71814i	−0.378140	+	0.182103i
$987$	−19.0662	−	43.4159i	−0.606884	−	1.38194i
$988$	−16.6932	−	8.03902i	−0.531081	−	0.255755i
$989$	12.2512	+	15.3625i	0.389564	+	0.488498i
$990$	43.0194	−	20.7171i	1.36725	−	0.658432i
$991$	−10.7733	+	13.5092i	−0.342224	+	0.429135i	−0.922924	−	0.384982i	$-0.874208\pi$
$991$	−10.7733	+	13.5092i	−0.342224	+	0.429135i	0.580700	+	0.814118i	$0.302779\pi$
$992$	11.8608	−	51.9656i	0.376581	−	1.64991i
$993$	−14.4094	+	18.0689i	−0.457270	+	0.573398i
$994$	30.8151	−	58.6450i	0.977397	−	1.86011i
$995$	−12.2763	−	15.3940i	−0.389184	−	0.488022i
$996$	134.758	−	64.8959i	4.26996	−	2.05631i
$997$	7.49725	−	32.8476i	0.237440	−	1.04029i	−0.705860	−	0.708352i	$-0.749439\pi$
$997$	7.49725	−	32.8476i	0.237440	−	1.04029i	0.943300	−	0.331942i	$-0.107704\pi$
$998$	−82.9470			−2.62564
$999$	−57.5473			−1.82072

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	637.2.w.a.92.2	✓	162
49.8	even	7	inner	637.2.w.a.547.2	yes	162

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
637.2.w.a.92.2	✓	162	1.1	even	1	trivial
637.2.w.a.547.2	yes	162	49.8	even	7	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:	\( N \)	\(=\)	\( 637 = 7^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	637.w (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.60516 + 2.01281i) q^{2} +(-2.57103 - 1.23814i) q^{3} +(-1.02981 - 4.51189i) q^{4} +(-1.31474 - 0.633146i) q^{5} +(6.61905 - 3.18757i) q^{6} +(-0.0925892 + 2.64413i) q^{7} +(6.09552 + 2.93545i) q^{8} +(3.20673 + 4.02111i) q^{9} +O(q^{10})\)	\(q+(-1.60516 + 2.01281i) q^{2} +(-2.57103 - 1.23814i) q^{3} +(-1.02981 - 4.51189i) q^{4} +(-1.31474 - 0.633146i) q^{5} +(6.61905 - 3.18757i) q^{6} +(-0.0925892 + 2.64413i) q^{7} +(6.09552 + 2.93545i) q^{8} +(3.20673 + 4.02111i) q^{9} +(3.38477 - 1.63002i) q^{10} +(1.54075 - 1.93204i) q^{11} +(-2.93869 + 12.8752i) q^{12} +(-0.623490 + 0.781831i) q^{13} +(-5.17350 - 4.43061i) q^{14} +(2.59631 + 3.25567i) q^{15} +(-7.35353 + 3.54127i) q^{16} +(-1.13842 + 4.98776i) q^{17} -13.2410 q^{18} -4.00354 q^{19} +(-1.50275 + 6.58399i) q^{20} +(3.51186 - 6.68350i) q^{21} +(1.41567 + 6.20246i) q^{22} +(1.68113 + 7.36553i) q^{23} +(-12.0373 - 15.0942i) q^{24} +(-1.78978 - 2.24431i) q^{25} +(-0.572875 - 2.50993i) q^{26} +(-1.36091 - 5.96253i) q^{27} +(12.0254 - 2.30520i) q^{28} +(0.222654 - 0.975511i) q^{29} -10.7205 q^{30} +7.12467 q^{31} +(1.66475 - 7.29376i) q^{32} +(-6.35346 + 3.05966i) q^{33} +(-8.21204 - 10.2976i) q^{34} +(1.79585 - 3.41773i) q^{35} +(14.8405 - 18.6094i) q^{36} +(2.09381 - 9.17359i) q^{37} +(6.42631 - 8.05834i) q^{38} +(2.57103 - 1.23814i) q^{39} +(-6.15546 - 7.71870i) q^{40} +(-0.980644 - 0.472253i) q^{41} +(7.81549 + 17.7968i) q^{42} +(2.34329 - 1.12847i) q^{43} +(-10.3038 - 4.96206i) q^{44} +(-1.67007 - 7.31704i) q^{45} +(-17.5239 - 8.43904i) q^{46} +(3.91585 - 4.91032i) q^{47} +23.2907 q^{48} +(-6.98285 - 0.489636i) q^{49} +7.39024 q^{50} +(9.10247 - 11.4141i) q^{51} +(4.16961 + 2.00798i) q^{52} +(0.366140 + 1.60417i) q^{53} +(14.1859 + 6.83156i) q^{54} +(-3.24895 + 1.56461i) q^{55} +(-8.32608 + 15.8456i) q^{56} +(10.2932 + 4.95695i) q^{57} +(1.60612 + 2.01401i) q^{58} +(-13.7142 + 6.60441i) q^{59} +(12.0155 - 15.0670i) q^{60} +(2.25000 - 9.85790i) q^{61} +(-11.4362 + 14.3406i) q^{62} +(-10.9292 + 8.10669i) q^{63} +(1.83112 + 2.29615i) q^{64} +(1.31474 - 0.633146i) q^{65} +(4.03980 - 17.6995i) q^{66} -4.33895 q^{67} +23.6766 q^{68} +(4.79733 - 21.0185i) q^{69} +(3.99659 + 9.10069i) q^{70} +(2.16425 + 9.48218i) q^{71} +(7.74291 + 33.9239i) q^{72} +(-8.83424 - 11.0778i) q^{73} +(15.1038 + 18.9395i) q^{74} +(1.82280 + 7.98619i) q^{75} +(4.12288 + 18.0635i) q^{76} +(4.96591 + 4.25283i) q^{77} +(-1.63477 + 7.16240i) q^{78} -1.52504 q^{79} +11.9101 q^{80} +(-0.450123 + 1.97212i) q^{81} +(2.52464 - 1.21580i) q^{82} +(-7.06139 - 8.85471i) q^{83} +(-33.7717 - 8.96239i) q^{84} +(4.65471 - 5.83682i) q^{85} +(-1.48997 + 6.52796i) q^{86} +(-1.78027 + 2.23239i) q^{87} +(15.0631 - 7.25400i) q^{88} +(-4.51349 - 5.65974i) q^{89} +(17.4085 + 8.38349i) q^{90} +(-2.00954 - 1.72098i) q^{91} +(31.5012 - 15.1702i) q^{92} +(-18.3177 - 8.82135i) q^{93} +(3.59796 + 15.7637i) q^{94} +(5.26361 + 2.53482i) q^{95} +(-13.3108 + 16.6913i) q^{96} -17.0599 q^{97} +(12.1941 - 13.2692i) q^{98} +12.7097 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9}+O(q^{10}) \) 162 * q + 3 * q^2 - 25 * q^4 - 4 * q^5 + 18 * q^6 - 15 * q^7 + 3 * q^8 - 5 * q^9	\( 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9} - 10 q^{10} + 15 q^{11} + 25 q^{12} + 27 q^{13} + 33 q^{14} + 18 q^{15} - 5 q^{16} + 3 q^{17} - 64 q^{18} + 24 q^{19} - 47 q^{20} + 24 q^{22} + 27 q^{23} - 8 q^{24} - 35 q^{25} - 3 q^{26} + 15 q^{27} + 2 q^{28} + 46 q^{29} - 30 q^{30} + 46 q^{31} + 16 q^{32} - 18 q^{33} - 62 q^{34} - 51 q^{35} + 39 q^{36} + 16 q^{37} - 54 q^{38} + 74 q^{40} - 2 q^{41} + 88 q^{42} + 14 q^{43} - 95 q^{44} + 83 q^{45} + 56 q^{46} - 4 q^{47} - 20 q^{48} - 3 q^{49} - 216 q^{50} - 56 q^{51} + 25 q^{52} + 38 q^{53} - 6 q^{54} + 73 q^{55} - 35 q^{56} + 41 q^{57} + 72 q^{58} - 44 q^{59} + 24 q^{60} - 6 q^{61} - 36 q^{62} - q^{63} - 11 q^{64} + 4 q^{65} + 95 q^{66} - 126 q^{67} - 382 q^{68} - 108 q^{69} - 47 q^{70} + 51 q^{71} + 130 q^{72} + 14 q^{73} - 26 q^{74} + 3 q^{75} + 75 q^{76} - 6 q^{77} + 31 q^{78} - 58 q^{79} + 110 q^{80} - 5 q^{81} - 90 q^{82} - 35 q^{83} + 21 q^{84} + 18 q^{85} + 76 q^{86} - 100 q^{87} + 6 q^{88} + 32 q^{89} + 13 q^{90} + q^{91} + 46 q^{92} + 19 q^{93} + 72 q^{94} + 38 q^{95} + 95 q^{96} + 6 q^{97} - 299 q^{98} - 334 q^{99}+O(q^{100}) \) 162 * q + 3 * q^2 - 25 * q^4 - 4 * q^5 + 18 * q^6 - 15 * q^7 + 3 * q^8 - 5 * q^9 - 10 * q^10 + 15 * q^11 + 25 * q^12 + 27 * q^13 + 33 * q^14 + 18 * q^15 - 5 * q^16 + 3 * q^17 - 64 * q^18 + 24 * q^19 - 47 * q^20 + 24 * q^22 + 27 * q^23 - 8 * q^24 - 35 * q^25 - 3 * q^26 + 15 * q^27 + 2 * q^28 + 46 * q^29 - 30 * q^30 + 46 * q^31 + 16 * q^32 - 18 * q^33 - 62 * q^34 - 51 * q^35 + 39 * q^36 + 16 * q^37 - 54 * q^38 + 74 * q^40 - 2 * q^41 + 88 * q^42 + 14 * q^43 - 95 * q^44 + 83 * q^45 + 56 * q^46 - 4 * q^47 - 20 * q^48 - 3 * q^49 - 216 * q^50 - 56 * q^51 + 25 * q^52 + 38 * q^53 - 6 * q^54 + 73 * q^55 - 35 * q^56 + 41 * q^57 + 72 * q^58 - 44 * q^59 + 24 * q^60 - 6 * q^61 - 36 * q^62 - q^63 - 11 * q^64 + 4 * q^65 + 95 * q^66 - 126 * q^67 - 382 * q^68 - 108 * q^69 - 47 * q^70 + 51 * q^71 + 130 * q^72 + 14 * q^73 - 26 * q^74 + 3 * q^75 + 75 * q^76 - 6 * q^77 + 31 * q^78 - 58 * q^79 + 110 * q^80 - 5 * q^81 - 90 * q^82 - 35 * q^83 + 21 * q^84 + 18 * q^85 + 76 * q^86 - 100 * q^87 + 6 * q^88 + 32 * q^89 + 13 * q^90 + q^91 + 46 * q^92 + 19 * q^93 + 72 * q^94 + 38 * q^95 + 95 * q^96 + 6 * q^97 - 299 * q^98 - 334 * q^99

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