LMFDB - Embedded newform 841.2.e.a.267.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [841,2,Mod(63,841)]

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([11]))

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

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

chi := DirichletCharacter("841.63");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 841 = 29^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	841.e (of order $14$, 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:	$12$
Relative dimension:	$2$ over $\Q(\zeta_{14})$
Coefficient field:	12.0.7877952219361.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} - 3x^{11} + 13x^{9} - 18x^{8} - 14x^{7} + 57x^{6} - 28x^{5} - 72x^{4} + 104x^{3} - 96x + 64 $ x^12 - 3x^11 + 13x^9 - 18x^8 - 14x^7 + 57x^6 - 28x^5 - 72x^4 + 104x^3 - 96*x + 64
Coefficient ring:	$\Z[a_1, \ldots, a_{4}]$
Coefficient ring index:	$ 1 $
Twist minimal:	no (minimal twist has level 29)
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			267.1
Root			$-1.25719 + 0.647667i$ of defining polynomial
Character	$\chi$	$=$	841.267
Dual form			841.2.e.a.63.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.03467 - 1.62259i) q^{2} +(0.428324 + 0.0977621i) q^{3} +(1.06202 + 4.65303i) q^{4} +(-1.60887 + 2.01746i) q^{5} +(-0.712869 - 0.893909i) q^{6} +(-0.0167182 + 0.0732474i) q^{7} +(3.13080 - 6.50118i) q^{8} +(-2.52900 - 1.21790i) q^{9} +O(q^{10})$	\(q+(-2.03467 - 1.62259i) q^{2} +(0.428324 + 0.0977621i) q^{3} +(1.06202 + 4.65303i) q^{4} +(-1.60887 + 2.01746i) q^{5} +(-0.712869 - 0.893909i) q^{6} +(-0.0167182 + 0.0732474i) q^{7} +(3.13080 - 6.50118i) q^{8} +(-2.52900 - 1.21790i) q^{9} +(6.54703 - 1.49432i) q^{10} +(-1.63937 - 3.40418i) q^{11} +2.09683i q^{12} +(0.793749 - 0.382250i) q^{13} +(0.152867 - 0.121907i) q^{14} +(-0.886347 + 0.706838i) q^{15} +(-8.31884 + 4.00614i) q^{16} +3.94108i q^{17} +(3.16952 + 6.58158i) q^{18} +(0.695725 - 0.158795i) q^{19} +(-11.0959 - 5.34353i) q^{20} +(-0.0143216 + 0.0297392i) q^{21} +(-2.18804 + 9.58641i) q^{22} +(0.734247 + 0.920717i) q^{23} +(1.97657 - 2.47854i) q^{24} +(-0.369070 - 1.61700i) q^{25} +(-2.23525 - 0.510182i) q^{26} +(-1.99463 - 1.59067i) q^{27} -0.358578 q^{28} +2.95033 q^{30} +(4.02711 + 3.21152i) q^{31} +(9.35673 + 2.13561i) q^{32} +(-0.369380 - 1.61836i) q^{33} +(6.39478 - 8.01881i) q^{34} +(-0.120876 - 0.151574i) q^{35} +(2.98108 - 13.0610i) q^{36} +(1.33962 - 2.78175i) q^{37} +(-1.67323 - 0.805785i) q^{38} +(0.377351 - 0.0861279i) q^{39} +(8.07880 + 16.7758i) q^{40} -6.67122i q^{41} +(0.0773944 - 0.0372712i) q^{42} +(6.49987 - 5.18347i) q^{43} +(14.0987 - 11.2434i) q^{44} +(6.52590 - 3.14271i) q^{45} -3.06474i q^{46} +(-4.59571 - 9.54310i) q^{47} +(-3.95480 + 0.902658i) q^{48} +(6.30170 + 3.03474i) q^{49} +(-1.87280 + 3.88891i) q^{50} +(-0.385289 + 1.68806i) q^{51} +(2.62160 + 3.28738i) q^{52} +(3.46416 - 4.34391i) q^{53} +(1.47741 + 6.47296i) q^{54} +(9.50531 + 2.16953i) q^{55} +(0.423853 + 0.338012i) q^{56} +0.313519 q^{57} +9.91885 q^{59} +(-4.23026 - 3.37352i) q^{60} +(-3.47790 - 0.793807i) q^{61} +(-2.98286 - 13.0687i) q^{62} +(0.131489 - 0.164882i) q^{63} +(-4.05898 - 5.08980i) q^{64} +(-0.505866 + 2.21634i) q^{65} +(-1.87437 + 3.89218i) q^{66} +(4.45039 + 2.14320i) q^{67} +(-18.3380 + 4.18553i) q^{68} +(0.224484 + 0.466146i) q^{69} +0.504535i q^{70} +(4.42088 - 2.12899i) q^{71} +(-15.8356 + 12.6285i) q^{72} +(-6.95998 + 5.55040i) q^{73} +(-7.23933 + 3.48628i) q^{74} -0.728681i q^{75} +(1.47775 + 3.06859i) q^{76} +(0.276755 - 0.0631675i) q^{77} +(-0.907535 - 0.437046i) q^{78} +(5.72272 - 11.8834i) q^{79} +(5.30170 - 23.2282i) q^{80} +(4.55153 + 5.70744i) q^{81} +(-10.8247 + 13.5737i) q^{82} +(-3.77983 - 16.5605i) q^{83} +(-0.153587 - 0.0350553i) q^{84} +(-7.95097 - 6.34068i) q^{85} -21.6357 q^{86} -27.2637 q^{88} +(5.31376 + 4.23758i) q^{89} +(-18.3774 - 4.19452i) q^{90} +(0.0147287 + 0.0645306i) q^{91} +(-3.50434 + 4.39430i) q^{92} +(1.41094 + 1.76927i) q^{93} +(-6.13382 + 26.8740i) q^{94} +(-0.798968 + 1.65907i) q^{95} +(3.79893 + 1.82947i) q^{96} +(11.1308 - 2.54054i) q^{97} +(-7.89772 - 16.3998i) q^{98} +10.6058i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q - 7 q^{2} - q^{4} + 6 q^{5} + 11 q^{6} - 4 q^{7} + 7 q^{8} - 10 q^{9}+O(q^{10}) $ 12 * q - 7 * q^2 - q^4 + 6 * q^5 + 11 * q^6 - 4 * q^7 + 7 * q^8 - 10 * q^9	$ 12 q - 7 q^{2} - q^{4} + 6 q^{5} + 11 q^{6} - 4 q^{7} + 7 q^{8} - 10 q^{9} + 14 q^{10} - 14 q^{11} + 2 q^{13} + 7 q^{14} + 14 q^{15} - 33 q^{16} - 14 q^{19} - 32 q^{20} + 42 q^{21} + 10 q^{22} + 2 q^{23} - 11 q^{24} + 6 q^{25} - 14 q^{26} + 21 q^{27} + 12 q^{28} + 2 q^{30} + 21 q^{32} + 18 q^{33} + 36 q^{34} + 12 q^{35} + 16 q^{36} + 14 q^{37} - 21 q^{38} + 14 q^{39} - 7 q^{40} - 27 q^{42} + 14 q^{43} + 49 q^{44} - 5 q^{45} - 35 q^{48} + 6 q^{49} + 7 q^{50} - 22 q^{51} - 6 q^{52} - 10 q^{53} + 11 q^{54} + 35 q^{55} - 21 q^{56} - 14 q^{57} + 44 q^{59} - 28 q^{60} + 28 q^{61} - 33 q^{62} - 6 q^{63} - 19 q^{64} - 27 q^{65} - 63 q^{66} + 26 q^{67} - 56 q^{68} + 7 q^{69} + 28 q^{71} - 63 q^{72} - 28 q^{73} - 7 q^{74} + 35 q^{76} + 28 q^{77} - 11 q^{78} - 14 q^{79} - 6 q^{80} + 22 q^{81} - 13 q^{82} - 16 q^{83} - 7 q^{84} - 21 q^{85} - 44 q^{86} - 66 q^{88} + 70 q^{89} - 42 q^{90} + 4 q^{91} + q^{92} - 2 q^{93} - 18 q^{94} + 7 q^{95} - 5 q^{96} + 56 q^{97} - 42 q^{98}+O(q^{100}) $ 12 * q - 7 * q^2 - q^4 + 6 * q^5 + 11 * q^6 - 4 * q^7 + 7 * q^8 - 10 * q^9 + 14 * q^10 - 14 * q^11 + 2 * q^13 + 7 * q^14 + 14 * q^15 - 33 * q^16 - 14 * q^19 - 32 * q^20 + 42 * q^21 + 10 * q^22 + 2 * q^23 - 11 * q^24 + 6 * q^25 - 14 * q^26 + 21 * q^27 + 12 * q^28 + 2 * q^30 + 21 * q^32 + 18 * q^33 + 36 * q^34 + 12 * q^35 + 16 * q^36 + 14 * q^37 - 21 * q^38 + 14 * q^39 - 7 * q^40 - 27 * q^42 + 14 * q^43 + 49 * q^44 - 5 * q^45 - 35 * q^48 + 6 * q^49 + 7 * q^50 - 22 * q^51 - 6 * q^52 - 10 * q^53 + 11 * q^54 + 35 * q^55 - 21 * q^56 - 14 * q^57 + 44 * q^59 - 28 * q^60 + 28 * q^61 - 33 * q^62 - 6 * q^63 - 19 * q^64 - 27 * q^65 - 63 * q^66 + 26 * q^67 - 56 * q^68 + 7 * q^69 + 28 * q^71 - 63 * q^72 - 28 * q^73 - 7 * q^74 + 35 * q^76 + 28 * q^77 - 11 * q^78 - 14 * q^79 - 6 * q^80 + 22 * q^81 - 13 * q^82 - 16 * q^83 - 7 * q^84 - 21 * q^85 - 44 * q^86 - 66 * q^88 + 70 * q^89 - 42 * q^90 + 4 * q^91 + q^92 - 2 * q^93 - 18 * q^94 + 7 * q^95 - 5 * q^96 + 56 * q^97 - 42 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$2$
$\chi(n)$	$e\left(\frac{3}{14}\right)$

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 $

$2$	−2.03467	−	1.62259i	−1.43873	−	1.14735i	−0.963573	−	0.267446i	$-0.913820\pi$
$2$	−2.03467	−	1.62259i	−1.43873	−	1.14735i	−0.475156	−	0.879902i	$-0.657608\pi$
$3$	0.428324	+	0.0977621i	0.247293	+	0.0564430i	0.344370	−	0.938834i	$-0.388092\pi$
$3$	0.428324	+	0.0977621i	0.247293	+	0.0564430i	−0.0970777	+	0.995277i	$0.530950\pi$
$4$	1.06202	+	4.65303i	0.531012	+	2.32652i
$5$	−1.60887	+	2.01746i	−0.719508	+	0.902234i	−0.998310	−	0.0581146i	$-0.981491\pi$
$5$	−1.60887	+	2.01746i	−0.719508	+	0.902234i	0.278802	+	0.960348i	$0.410063\pi$
$6$	−0.712869	−	0.893909i	−0.291027	−	0.364937i
$7$	−0.0167182	+	0.0732474i	−0.00631890	+	0.0276849i	−0.977989	−	0.208656i	$-0.933091\pi$
$7$	−0.0167182	+	0.0732474i	−0.00631890	+	0.0276849i	0.971670	+	0.236341i	$0.0759482\pi$
$8$	3.13080	−	6.50118i	1.10691	−	2.29852i
$9$	−2.52900	−	1.21790i	−0.843001	−	0.405968i
$10$	6.54703	−	1.49432i	2.07035	−	0.472544i
$11$	−1.63937	−	3.40418i	−0.494288	−	1.02640i	−0.987665	−	0.156584i	$-0.949952\pi$
$11$	−1.63937	−	3.40418i	−0.494288	−	1.02640i	0.493377	−	0.869816i	$-0.335762\pi$
$12$			2.09683i			0.605302i
$13$	0.793749	−	0.382250i	0.220146	−	0.106017i	−0.320560	−	0.947228i	$-0.603871\pi$
$13$	0.793749	−	0.382250i	0.220146	−	0.106017i	0.540707	+	0.841211i	$0.318157\pi$
$14$	0.152867	−	0.121907i	0.0408554	−	0.0325811i
$15$	−0.886347	+	0.706838i	−0.228854	+	0.182505i
$16$	−8.31884	+	4.00614i	−2.07971	+	1.00154i
$17$			3.94108i			0.955854i	0.878400	+	0.477927i	$0.158612\pi$
$17$			3.94108i			0.955854i	−0.878400	+	0.477927i	$0.841388\pi$
$18$	3.16952	+	6.58158i	0.747063	+	1.55129i
$19$	0.695725	−	0.158795i	0.159610	−	0.0364300i	−0.141969	−	0.989871i	$-0.545343\pi$
$19$	0.695725	−	0.158795i	0.159610	−	0.0364300i	0.301579	+	0.953441i	$0.402486\pi$
$20$	−11.0959	−	5.34353i	−2.48113	−	1.19485i
$21$	−0.0143216	+	0.0297392i	−0.00312524	+	0.00648962i
$22$	−2.18804	+	9.58641i	−0.466491	+	2.04383i
$23$	0.734247	+	0.920717i	0.153101	+	0.191983i	0.852467	−	0.522781i	$-0.175106\pi$
$23$	0.734247	+	0.920717i	0.153101	+	0.191983i	−0.699366	+	0.714764i	$0.746534\pi$
$24$	1.97657	−	2.47854i	0.403465	−	0.505929i
$25$	−0.369070	−	1.61700i	−0.0738140	−	0.323400i
$26$	−2.23525	−	0.510182i	−0.438369	−	0.100055i
$27$	−1.99463	−	1.59067i	−0.383867	−	0.306124i
$28$	−0.358578			−0.0677648
$29$		0			0
$29$		0			0
$30$	2.95033			0.538655
$31$	4.02711	+	3.21152i	0.723291	+	0.576805i	0.914423	−	0.404759i	$-0.132645\pi$
$31$	4.02711	+	3.21152i	0.723291	+	0.576805i	−0.191132	+	0.981564i	$0.561216\pi$
$32$	9.35673	+	2.13561i	1.65405	+	0.377526i
$33$	−0.369380	−	1.61836i	−0.0643008	−	0.281720i
$34$	6.39478	−	8.01881i	1.09670	−	1.37521i
$35$	−0.120876	−	0.151574i	−0.0204318	−	0.0256206i
$36$	2.98108	−	13.0610i	0.496847	−	2.17683i
$37$	1.33962	−	2.78175i	0.220232	−	0.457316i	−0.761354	−	0.648336i	$-0.775465\pi$
$37$	1.33962	−	2.78175i	0.220232	−	0.457316i	0.981586	+	0.191020i	$0.0611794\pi$
$38$	−1.67323	−	0.805785i	−0.271434	−	0.130716i
$39$	0.377351	−	0.0861279i	0.0604245	−	0.0137915i
$40$	8.07880	+	16.7758i	1.27737	+	2.65249i
$41$		−	6.67122i		−	1.04187i	−0.853596	−	0.520935i	$-0.825583\pi$
$41$		−	6.67122i		−	1.04187i	0.853596	−	0.520935i	$-0.174417\pi$
$42$	0.0773944	−	0.0372712i	0.0119422	−	0.00575107i
$43$	6.49987	−	5.18347i	0.991220	−	0.790472i	0.0133983	−	0.999910i	$-0.495735\pi$
$43$	6.49987	−	5.18347i	0.991220	−	0.790472i	0.977822	+	0.209439i	$0.0671636\pi$
$44$	14.0987	−	11.2434i	2.12546	−	1.69500i
$45$	6.52590	−	3.14271i	0.972823	−	0.468487i
$46$		−	3.06474i		−	0.451871i
$47$	−4.59571	−	9.54310i	−0.670354	−	1.39200i	−0.907301	−	0.420482i	$-0.861861\pi$
$47$	−4.59571	−	9.54310i	−0.670354	−	1.39200i	0.236947	−	0.971523i	$-0.423853\pi$
$48$	−3.95480	+	0.902658i	−0.570827	+	0.130288i
$49$	6.30170	+	3.03474i	0.900242	+	0.433534i
$50$	−1.87280	+	3.88891i	−0.264854	+	0.549975i
$51$	−0.385289	+	1.68806i	−0.0539512	+	0.236376i
$52$	2.62160	+	3.28738i	0.363551	+	0.455878i
$53$	3.46416	−	4.34391i	0.475838	−	0.596683i	−0.484751	−	0.874652i	$-0.661090\pi$
$53$	3.46416	−	4.34391i	0.475838	−	0.596683i	0.960590	+	0.277969i	$0.0896614\pi$
$54$	1.47741	+	6.47296i	0.201050	+	0.880859i
$55$	9.50531	+	2.16953i	1.28170	+	0.292539i
$56$	0.423853	+	0.338012i	0.0566398	+	0.0451687i
$57$	0.313519			0.0415267
$58$		0			0
$59$	9.91885			1.29132			0.645662	−	0.763623i	$-0.276582\pi$
$59$	9.91885			1.29132			0.645662	+	0.763623i	$0.276582\pi$
$60$	−4.23026	−	3.37352i	−0.546124	−	0.435520i
$61$	−3.47790	−	0.793807i	−0.445299	−	0.101637i	−0.00600904	−	0.999982i	$-0.501913\pi$
$61$	−3.47790	−	0.793807i	−0.445299	−	0.101637i	−0.439290	+	0.898345i	$0.644770\pi$
$62$	−2.98286	−	13.0687i	−0.378823	−	1.65973i
$63$	0.131489	−	0.164882i	0.0165660	−	0.0207731i
$64$	−4.05898	−	5.08980i	−0.507373	−	0.636226i
$65$	−0.505866	+	2.21634i	−0.0627449	+	0.274904i
$66$	−1.87437	+	3.89218i	−0.230720	+	0.479094i
$67$	4.45039	+	2.14320i	0.543702	+	0.261833i	0.685513	−	0.728061i	$-0.259578\pi$
$67$	4.45039	+	2.14320i	0.543702	+	0.261833i	−0.141811	+	0.989894i	$0.545292\pi$
$68$	−18.3380	+	4.18553i	−2.22381	+	0.507570i
$69$	0.224484	+	0.466146i	0.0270247	+	0.0561174i
$70$			0.504535i			0.0603035i
$71$	4.42088	−	2.12899i	0.524662	−	0.252664i	−0.152754	−	0.988264i	$-0.548814\pi$
$71$	4.42088	−	2.12899i	0.524662	−	0.252664i	0.677416	+	0.735600i	$0.263100\pi$
$72$	−15.8356	+	12.6285i	−1.86625	+	1.48828i
$73$	−6.95998	+	5.55040i	−0.814604	+	0.649625i	−0.939502	−	0.342544i	$-0.888711\pi$
$73$	−6.95998	+	5.55040i	−0.814604	+	0.649625i	0.124897	+	0.992170i	$0.460140\pi$
$74$	−7.23933	+	3.48628i	−0.841555	+	0.405272i
$75$		−	0.728681i		−	0.0841408i
$76$	1.47775	+	3.06859i	0.169510	+	0.351991i
$77$	0.276755	−	0.0631675i	0.0315391	−	0.00719860i
$78$	−0.907535	−	0.437046i	−0.102758	−	0.0494857i
$79$	5.72272	−	11.8834i	0.643856	−	1.33698i	−0.282112	−	0.959381i	$-0.591035\pi$
$79$	5.72272	−	11.8834i	0.643856	−	1.33698i	0.925969	−	0.377600i	$-0.123251\pi$
$80$	5.30170	−	23.2282i	0.592748	−	2.59700i
$81$	4.55153	+	5.70744i	0.505726	+	0.634160i
$82$	−10.8247	+	13.5737i	−1.19539	+	1.49897i
$83$	−3.77983	−	16.5605i	−0.414890	−	1.81775i	−0.560191	−	0.828364i	$-0.689272\pi$
$83$	−3.77983	−	16.5605i	−0.414890	−	1.81775i	0.145301	−	0.989387i	$-0.453585\pi$
$84$	−0.153587	−	0.0350553i	−0.0167577	−	0.00382485i
$85$	−7.95097	−	6.34068i	−0.862403	−	0.687744i
$86$	−21.6357			−2.33304
$87$		0			0
$88$	−27.2637			−2.90632
$89$	5.31376	+	4.23758i	0.563257	+	0.449183i	0.863263	−	0.504755i	$-0.168417\pi$
$89$	5.31376	+	4.23758i	0.563257	+	0.449183i	−0.300006	+	0.953937i	$0.596989\pi$
$90$	−18.3774	−	4.19452i	−1.93715	−	0.442141i
$91$	0.0147287	+	0.0645306i	0.00154399	+	0.00676465i
$92$	−3.50434	+	4.39430i	−0.365352	+	0.458137i
$93$	1.41094	+	1.76927i	0.146308	+	0.183464i
$94$	−6.13382	+	26.8740i	−0.632656	+	2.77185i
$95$	−0.798968	+	1.65907i	−0.0819724	+	0.170217i
$96$	3.79893	+	1.82947i	0.387726	+	0.186719i
$97$	11.1308	−	2.54054i	1.13017	−	0.257953i	0.383753	−	0.923436i	$-0.374631\pi$
$97$	11.1308	−	2.54054i	1.13017	−	0.257953i	0.746413	+	0.665483i	$0.231774\pi$
$98$	−7.89772	−	16.3998i	−0.797790	−	1.65663i
$99$			10.6058i			1.06592i
$100$	7.13200	−	3.43459i	0.713200	−	0.343459i
$101$	−7.37913	+	5.88466i	−0.734251	+	0.585546i	−0.917601	−	0.397502i	$-0.869877\pi$
$101$	−7.37913	+	5.88466i	−0.734251	+	0.585546i	0.183350	+	0.983048i	$0.441306\pi$
$102$	3.52297	−	2.80948i	0.348826	−	0.278180i
$103$	8.27375	−	3.98443i	0.815237	−	0.392597i	0.0206793	−	0.999786i	$-0.493417\pi$
$103$	8.27375	−	3.98443i	0.815237	−	0.392597i	0.794558	+	0.607189i	$0.207703\pi$
$104$		−	6.35706i		−	0.623361i
$105$	−0.0369559	−	0.0767397i	−0.00360652	−	0.00748903i
$106$	−14.0968	+	3.21751i	−1.36920	+	0.312512i
$107$	4.38610	+	2.11223i	0.424020	+	0.204197i	0.633710	−	0.773571i	$-0.281531\pi$
$107$	4.38610	+	2.11223i	0.424020	+	0.204197i	−0.209690	+	0.977768i	$0.567245\pi$
$108$	5.28308	−	10.9704i	0.508364	−	1.05563i
$109$	0.964457	−	4.22556i	0.0923782	−	0.404735i	−0.907505	−	0.420042i	$-0.862015\pi$
$109$	0.964457	−	4.22556i	0.0923782	−	0.404735i	0.999883	+	0.0153067i	$0.00487246\pi$
$110$	−15.8199	−	19.8375i	−1.50837	−	1.89143i
$111$	0.845740	−	1.06052i	0.0802741	−	0.100661i
$112$	−0.154363	−	0.676309i	−0.0145859	−	0.0639052i
$113$	4.40969	+	1.00648i	0.414828	+	0.0946819i	0.424841	−	0.905268i	$-0.360330\pi$
$113$	4.40969	+	1.00648i	0.414828	+	0.0946819i	−0.0100126	+	0.999950i	$0.503187\pi$
$114$	−0.637908	−	0.508715i	−0.0597456	−	0.0476455i
$115$	−3.03881			−0.283371
$116$		0			0
$117$	−2.47294			−0.228623
$118$	−20.1816	−	16.0943i	−1.85786	−	1.48160i
$119$	−0.288674	−	0.0658880i	−0.0264627	−	0.00603994i
$120$	1.82030	+	7.97527i	0.166170	+	0.728040i
$121$	−2.04254	+	2.56126i	−0.185685	+	0.232842i
$122$	5.78834	+	7.25835i	0.524052	+	0.657140i
$123$	0.652193	−	2.85744i	0.0588062	−	0.257647i
$124$	−10.6664	+	22.1490i	−0.957870	+	1.98904i
$125$	−7.76839	−	3.74106i	−0.694826	−	0.334611i
$126$	−0.535072	+	0.122127i	−0.0476680	+	0.0108799i
$127$	−2.53285	−	5.25952i	−0.224754	−	0.466707i	0.757848	−	0.652432i	$-0.226251\pi$
$127$	−2.53285	−	5.25952i	−0.224754	−	0.466707i	−0.982602	+	0.185725i	$0.940537\pi$
$128$		−	2.25255i		−	0.199099i
$129$	3.29079	−	1.58476i	0.289738	−	0.139531i
$130$	4.62550	−	3.68871i	0.405683	−	0.323521i
$131$	−5.17917	+	4.13025i	−0.452506	+	0.360862i	−0.823065	−	0.567947i	$-0.807738\pi$
$131$	−5.17917	+	4.13025i	−0.452506	+	0.360862i	0.370559	+	0.928809i	$0.379166\pi$
$132$	7.13799	−	3.43747i	0.621282	−	0.299194i
$133$			0.0536148i			0.00464899i
$134$	−5.57754	−	11.5819i	−0.481826	−	1.00052i
$135$	6.41820	−	1.46491i	0.552391	−	0.126080i
$136$	25.6217	+	12.3388i	2.19704	+	1.05804i
$137$	0.676341	−	1.40444i	0.0577837	−	0.119989i	−0.870077	−	0.492915i	$-0.835931\pi$
$137$	0.676341	−	1.40444i	0.0577837	−	0.119989i	0.927861	+	0.372926i	$0.121646\pi$
$138$	0.299615	−	1.31270i	0.0255049	−	0.111744i
$139$	6.63492	+	8.31992i	0.562766	+	0.705686i	0.979066	−	0.203541i	$-0.0652449\pi$
$139$	6.63492	+	8.31992i	0.562766	+	0.705686i	−0.416300	+	0.909227i	$0.636673\pi$
$140$	0.576904	−	0.723415i	0.0487573	−	0.0611397i
$141$	−1.03550	−	4.53682i	−0.0872048	−	0.382069i
$142$	−12.4495	−	2.84152i	−1.04474	−	0.238455i
$143$	−2.60249	−	2.07542i	−0.217631	−	0.173555i
$144$	25.9175			2.15979
$145$		0			0
$146$	23.1673			1.91734
$147$	2.40248	+	1.91592i	0.198153	+	0.158022i
$148$	14.3663	+	3.27901i	1.18090	+	0.269533i
$149$	1.20885	+	5.29632i	0.0990329	+	0.433892i	1.00000		4.09823e-6i	$1.30451e-6\pi$
$149$	1.20885	+	5.29632i	0.0990329	+	0.433892i	−0.900967	+	0.433887i	$0.857142\pi$
$150$	−1.18235	+	1.48262i	−0.0965388	+	0.121056i
$151$	−11.1242	−	13.9493i	−0.905271	−	1.13517i	−0.990321	−	0.138798i	$-0.955676\pi$
$151$	−11.1242	−	13.9493i	−0.905271	−	1.13517i	0.0850493	−	0.996377i	$-0.472895\pi$
$152$	1.14583	−	5.02019i	0.0929387	−	0.407191i
$153$	4.79986	−	9.96702i	0.388046	−	0.805785i
$154$	−0.665600	−	0.320536i	−0.0536355	−	0.0258295i
$155$	−12.9582	+	2.95762i	−1.04083	+	0.237562i
$156$	0.801512	+	1.66436i	0.0641723	+	0.133255i
$157$		−	9.46360i		−	0.755278i	−0.925953	−	0.377639i	$-0.876736\pi$
$157$		−	9.46360i		−	0.755278i	0.925953	−	0.377639i	$-0.123264\pi$
$158$	−30.9257	+	14.8930i	−2.46032	+	1.18483i
$159$	1.90845	−	1.52194i	0.151350	−	0.120698i
$160$	−19.3622	+	15.4409i	−1.53072	+	1.22071i
$161$	−0.0797154	+	0.0383889i	−0.00628245	+	0.00302547i
$162$		−	18.9980i		−	1.49263i
$163$	4.53746	+	9.42213i	0.355401	+	0.737998i	0.999640	−	0.0268262i	$-0.00854007\pi$
$163$	4.53746	+	9.42213i	0.355401	+	0.737998i	−0.644239	+	0.764824i	$0.722826\pi$
$164$	31.0414	−	7.08500i	2.42393	−	0.553246i
$165$	3.85925	+	1.85852i	0.300442	+	0.144685i
$166$	−19.1803	+	39.8283i	−1.48868	+	3.09127i
$167$	0.0379256	−	0.166163i	0.00293477	−	0.0128581i	−0.973439	−	0.228945i	$-0.926472\pi$
$167$	0.0379256	−	0.166163i	0.00293477	−	0.0128581i	0.976374	+	0.216087i	$0.0693295\pi$
$168$	0.148502	+	0.186215i	0.0114571	+	0.0143668i
$169$	−7.62144	+	9.55699i	−0.586265	+	0.735153i
$170$	5.88923	+	25.8024i	0.451683	+	1.97895i
$171$	−1.95289	−	0.445734i	−0.149341	−	0.0340861i
$172$	31.0219	+	24.7391i	2.36539	+	1.88634i
$173$	12.0694			0.917616			0.458808	−	0.888535i	$-0.348277\pi$
$173$	12.0694			0.917616			0.458808	+	0.888535i	$0.348277\pi$
$174$		0			0
$175$	0.124611			0.00941973
$176$	27.2753	+	21.7513i	2.05595	+	1.63957i
$177$	4.24848	+	0.969687i	0.319335	+	0.0728861i
$178$	−3.93586	−	17.2441i	−0.295005	−	1.29250i
$179$	1.04424	−	1.30943i	0.0780501	−	0.0978717i	−0.741273	−	0.671203i	$-0.765778\pi$
$179$	1.04424	−	1.30943i	0.0780501	−	0.0978717i	0.819324	+	0.573331i	$0.194349\pi$
$180$	21.5538	+	27.0276i	1.60652	+	2.01452i
$181$	3.41851	−	14.9775i	0.254096	−	1.11327i	−0.673354	−	0.739320i	$-0.735147\pi$
$181$	3.41851	−	14.9775i	0.254096	−	1.11327i	0.927450	−	0.373947i	$-0.121996\pi$
$182$	0.0747390	−	0.155197i	0.00554002	−	0.0115040i
$183$	−1.41206	−	0.680013i	−0.104383	−	0.0502680i
$184$	8.28453	−	1.89089i	0.610744	−	0.139398i
$185$	3.45678	+	7.17809i	0.254148	+	0.527743i
$186$		−	5.88926i		−	0.431822i
$187$	13.4162	−	6.46089i	0.981087	−	0.472467i
$188$	39.5236	−	31.5190i	2.88255	−	2.29876i
$189$	0.149859	−	0.119509i	0.0109006	−	0.00869297i
$190$	4.31764	−	2.07927i	0.313235	−	0.150846i
$191$			20.4783i			1.48176i	0.671640	+	0.740878i	$0.265590\pi$
$191$			20.4783i			1.48176i	−0.671640	+	0.740878i	$0.734410\pi$
$192$	−1.24097	−	2.57690i	−0.0895592	−	0.185972i
$193$	−3.05582	+	0.697471i	−0.219963	+	0.0502051i	−0.331082	−	0.943602i	$-0.607414\pi$
$193$	−3.05582	+	0.697471i	−0.219963	+	0.0502051i	0.111119	+	0.993807i	$0.464556\pi$
$194$	−26.7699	−	12.8917i	−1.92196	−	0.925569i
$195$	−0.433349	+	0.899858i	−0.0310327	+	0.0644402i
$196$	−7.42817	+	32.5450i	−0.530584	+	2.32464i
$197$	1.77096	+	2.22071i	0.126176	+	0.158219i	0.840907	−	0.541180i	$-0.182022\pi$
$197$	1.77096	+	2.22071i	0.126176	+	0.158219i	−0.714731	+	0.699399i	$0.753451\pi$
$198$	17.2089	−	21.5792i	1.22298	−	1.53357i
$199$	4.25436	+	18.6396i	0.301583	+	1.32132i	0.867737	+	0.497024i	$0.165574\pi$
$199$	4.25436	+	18.6396i	0.301583	+	1.32132i	−0.566154	+	0.824300i	$0.691569\pi$
$200$	−11.6679	−	2.66312i	−0.825045	−	0.188311i
$201$	1.69669	+	1.35306i	0.119675	+	0.0954376i
$202$	24.5625			1.72821
$203$		0			0
$204$	−8.26378			−0.578580
$205$	13.4589	+	10.7331i	0.940010	+	0.749633i
$206$	−23.2995	−	5.31795i	−1.62335	−	0.370519i
$207$	−0.735569	−	3.22274i	−0.0511256	−	0.223996i
$208$	−5.07173	+	6.35975i	−0.351661	+	0.440969i
$209$	−1.68111	−	2.10805i	−0.116285	−	0.145817i
$210$	−0.0493244	+	0.216104i	−0.00340371	+	0.0149126i
$211$	−7.76373	+	16.1215i	−0.534477	+	1.10985i	0.442551	+	0.896743i	$0.354074\pi$
$211$	−7.76373	+	16.1215i	−0.534477	+	1.10985i	−0.977028	+	0.213110i	$0.931641\pi$
$212$	23.8914	+	11.5055i	1.64087	+	0.790200i
$213$	2.10170	−	0.479700i	0.144006	−	0.0328685i
$214$	−5.49696	−	11.4146i	−0.375765	−	0.780283i
$215$			21.4527i			1.46306i
$216$	−16.5860	+	7.98741i	−1.12854	+	0.543474i
$217$	−0.302561	+	0.241285i	−0.0205392	+	0.0163795i
$218$	−8.81872	+	7.03270i	−0.597279	+	0.476314i
$219$	−3.52374	+	1.69695i	−0.238112	+	0.114669i
$220$			46.5326i			3.13723i
$221$	1.50648	+	3.12823i	0.101337	+	0.210428i
$222$	−3.44160	+	0.785523i	−0.230985	+	0.0527209i
$223$	−15.9749	−	7.69313i	−1.06976	−	0.515170i	−0.185731	−	0.982601i	$-0.559465\pi$
$223$	−15.9749	−	7.69313i	−1.06976	−	0.515170i	−0.884030	+	0.467431i	$0.845180\pi$
$224$	−0.312856	+	0.649652i	−0.0209036	+	0.0434067i
$225$	−1.03597	+	4.53889i	−0.0690648	+	0.302593i
$226$	−7.33914	−	9.20299i	−0.488192	−	0.612174i
$227$	13.8487	−	17.3658i	0.919172	−	1.15261i	−0.0687469	−	0.997634i	$-0.521900\pi$
$227$	13.8487	−	17.3658i	0.919172	−	1.15261i	0.987919	−	0.154971i	$-0.0495285\pi$
$228$	0.332965	+	1.45882i	0.0220512	+	0.0966125i
$229$	−9.71820	−	2.21812i	−0.642197	−	0.146577i	−0.110993	−	0.993821i	$-0.535403\pi$
$229$	−9.71820	−	2.21812i	−0.642197	−	0.146577i	−0.531204	+	0.847244i	$0.678260\pi$
$230$	6.18298	+	4.93076i	0.407693	+	0.325125i
$231$	0.124716			0.00820571
$232$		0			0
$233$	−20.0765			−1.31525			−0.657627	−	0.753344i	$-0.728440\pi$
$233$	−20.0765			−1.31525			−0.657627	+	0.753344i	$0.728440\pi$
$234$	5.03161	+	4.01258i	0.328927	+	0.262310i
$235$	26.6467	+	6.08193i	1.73824	+	0.396741i
$236$	10.5341	+	46.1527i	0.685709	+	3.00429i
$237$	3.61292	−	4.53045i	0.234684	−	0.294285i
$238$	0.480447	+	0.602462i	0.0311428	+	0.0390518i
$239$	0.262765	−	1.15125i	0.0169968	−	0.0744680i	−0.965718	−	0.259593i	$-0.916412\pi$
$239$	0.262765	−	1.15125i	0.0169968	−	0.0744680i	0.982715	+	0.185125i	$0.0592689\pi$
$240$	4.54168	−	9.43090i	0.293164	−	0.608762i
$241$	10.6595	+	5.13333i	0.686637	+	0.330667i	0.744467	−	0.667659i	$-0.232704\pi$
$241$	10.6595	+	5.13333i	0.686637	+	0.330667i	−0.0578295	+	0.998326i	$0.518418\pi$
$242$	8.31177	−	1.89711i	0.534301	−	0.121951i
$243$	4.71237	+	9.78534i	0.302299	+	0.627730i
$244$		−	17.0258i		−	1.08997i
$245$	−16.2610	+	7.83091i	−1.03888	+	0.500298i
$246$	−5.96347	+	4.75571i	−0.380217	+	0.303213i
$247$	0.491532	−	0.391984i	0.0312754	−	0.0249413i
$248$	33.4868	−	16.1264i	2.12641	−	1.02403i
$249$		−	7.46278i		−	0.472934i
$250$	9.73589	+	20.2168i	0.615751	+	1.27862i
$251$	−7.47279	+	1.70562i	−0.471679	+	0.107658i	−0.451751	−	0.892144i	$-0.649201\pi$
$251$	−7.47279	+	1.70562i	−0.471679	+	0.107658i	−0.0199272	+	0.999801i	$0.506343\pi$
$252$	0.906844	+	0.436713i	0.0571258	+	0.0275103i
$253$	1.93059	−	4.00890i	0.121375	−	0.252038i
$254$	−3.38055	+	14.8112i	−0.212115	+	0.929335i
$255$	−2.78571	−	3.49317i	−0.174448	−	0.218751i
$256$	−11.7729	+	14.7628i	−0.735809	+	0.922676i
$257$	−2.53068	−	11.0876i	−0.157860	−	0.691628i	−0.990465	−	0.137762i	$-0.956009\pi$
$257$	−2.53068	−	11.0876i	−0.157860	−	0.691628i	0.832606	−	0.553866i	$-0.186848\pi$
$258$	−9.26710	−	2.11516i	−0.576945	−	0.131684i
$259$	0.181360	+	0.144630i	0.0112691	+	0.00898684i
$260$	−10.8500			−0.672886
$261$		0			0
$262$	17.2396			1.06507
$263$	−13.0929	−	10.4412i	−0.807342	−	0.643834i	0.130285	−	0.991477i	$-0.458411\pi$
$263$	−13.0929	−	10.4412i	−0.807342	−	0.643834i	−0.937627	+	0.347642i	$0.886982\pi$
$264$	−11.6777	−	2.66536i	−0.718713	−	0.164042i
$265$	3.19029	+	13.9776i	0.195978	+	0.858635i
$266$	0.0869951	−	0.109088i	0.00533401	−	0.00668864i
$267$	1.86173	+	2.33454i	0.113936	+	0.142871i
$268$	−5.24594	+	22.9839i	−0.320447	+	1.40397i
$269$	9.51667	−	19.7616i	0.580241	−	1.20488i	−0.379811	−	0.925064i	$-0.624011\pi$
$269$	9.51667	−	19.7616i	0.580241	−	1.20488i	0.960053	−	0.279820i	$-0.0902747\pi$
$270$	−15.4359	−	7.43353i	−0.939398	−	0.452390i
$271$	6.38023	−	1.45625i	0.387572	−	0.0884607i	−0.0242950	−	0.999705i	$-0.507734\pi$
$271$	6.38023	−	1.45625i	0.387572	−	0.0884607i	0.411867	+	0.911244i	$0.364877\pi$
$272$	−15.7885	−	32.7853i	−0.957321	−	1.98790i
$273$			0.0290799i			0.00176000i
$274$	−3.65496	+	1.76014i	−0.220804	+	0.106334i
$275$	−4.89952	+	3.90724i	−0.295452	+	0.235615i
$276$	−1.93059	+	1.53959i	−0.116208	+	0.0926725i
$277$	−19.3957	+	9.34050i	−1.16538	+	0.561216i	−0.913618	−	0.406574i	$-0.866723\pi$
$277$	−19.3957	+	9.34050i	−1.16538	+	0.561216i	−0.251759	+	0.967790i	$0.581009\pi$
$278$		−	27.6941i		−	1.66098i
$279$	−6.27326	−	13.0266i	−0.375571	−	0.779880i
$280$	−1.36385	+	0.311289i	−0.0815055	+	0.0186031i
$281$	7.83586	+	3.77355i	0.467448	+	0.225111i	0.652754	−	0.757570i	$-0.273613\pi$
$281$	7.83586	+	3.77355i	0.467448	+	0.225111i	−0.185306	+	0.982681i	$0.559328\pi$
$282$	−5.25452	+	10.9111i	−0.312902	+	0.649748i
$283$	4.89294	−	21.4374i	0.290855	−	1.27432i	−0.592484	−	0.805583i	$-0.701853\pi$
$283$	4.89294	−	21.4374i	0.290855	−	1.27432i	0.883338	−	0.468736i	$-0.155290\pi$
$284$	14.6013	+	18.3095i	0.866429	+	1.08647i
$285$	−0.504411	+	0.632512i	−0.0298787	+	0.0374668i
$286$	1.92765	+	8.44558i	0.113984	+	0.499398i
$287$	0.488650	+	0.111531i	0.0288441	+	0.00658347i
$288$	−21.0622	−	16.7966i	−1.24110	−	0.989747i
$289$	1.46785			0.0863441
$290$		0			0
$291$	5.01597			0.294042
$292$	−33.2179	−	26.4904i	−1.94393	−	1.55023i
$293$	2.17028	+	0.495352i	0.126789	+	0.0289388i	0.285445	−	0.958395i	$-0.407859\pi$
$293$	2.17028	+	0.495352i	0.126789	+	0.0289388i	−0.158655	+	0.987334i	$0.550716\pi$
$294$	−1.77950	−	7.79651i	−0.103783	−	0.454702i
$295$	−15.9581	+	20.0108i	−0.929117	+	1.16508i
$296$	−13.8906	−	17.4182i	−0.807373	−	1.01241i
$297$	−2.14498	+	9.39778i	−0.124464	+	0.545315i
$298$	6.13417	−	12.7377i	0.355343	−	0.737877i
$299$	0.934752	+	0.450153i	0.0540581	+	0.0260330i
$300$	3.39057	−	0.773877i	0.195755	−	0.0446798i
$301$	0.271009	+	0.562757i	0.0156207	+	0.0324368i
$302$			46.4321i			2.67187i
$303$	−3.73595	+	1.79914i	−0.214625	+	0.103358i
$304$	−5.15147	+	4.10816i	−0.295457	+	0.235619i
$305$	7.19694	−	5.73937i	0.412096	−	0.328635i
$306$	−25.9386	+	12.4914i	−1.48281	+	0.714083i
$307$		−	13.8760i		−	0.791945i	−0.918262	−	0.395972i	$-0.870408\pi$
$307$		−	13.8760i		−	0.791945i	0.918262	−	0.395972i	$-0.129592\pi$
$308$	0.587840	+	1.22066i	0.0334953	+	0.0695537i
$309$	3.93337	−	0.897766i	0.223762	−	0.0510721i
$310$	31.1646	+	15.0081i	1.77003	+	0.852403i
$311$	−0.612717	+	1.27232i	−0.0347440	+	0.0721467i	−0.917618	−	0.397462i	$-0.869891\pi$
$311$	−0.612717	+	1.27232i	−0.0347440	+	0.0721467i	0.882874	+	0.469609i	$0.155605\pi$
$312$	0.621479	−	2.72288i	0.0351843	−	0.154153i
$313$	−17.9245	−	22.4766i	−1.01315	−	1.27046i	−0.962369	−	0.271746i	$-0.912399\pi$
$313$	−17.9245	−	22.4766i	−1.01315	−	1.27046i	−0.0507851	−	0.998710i	$-0.516172\pi$
$314$	−15.3556	+	19.2553i	−0.866566	+	1.08664i
$315$	0.121094	+	0.530546i	0.00682285	+	0.0298929i
$316$	61.3713	+	14.0076i	3.45240	+	0.787989i
$317$	17.4507	+	13.9165i	0.980128	+	0.781626i	0.975867	−	0.218365i	$-0.0700723\pi$
$317$	17.4507	+	13.9165i	0.980128	+	0.781626i	0.00426075	+	0.999991i	$0.498644\pi$
$318$	−6.35255			−0.356234
$319$		0			0
$320$	16.7988			0.939083
$321$	1.67217	+	1.33351i	0.0933316	+	0.0744295i
$322$	0.224484	+	0.0512370i	0.0125100	+	0.00285533i
$323$	0.625823	+	2.74191i	0.0348217	+	0.152564i
$324$	−21.7231	+	27.2399i	−1.20684	+	1.51333i
$325$	−0.911047	−	1.14242i	−0.0505358	−	0.0633699i
$326$	6.05607	−	26.5334i	0.335415	−	1.46955i
$327$	0.826199	−	1.71562i	0.0456889	−	0.0948740i
$328$	−43.3708	−	20.8863i	−2.39475	−	1.15325i
$329$	0.775839	−	0.177080i	0.0427734	−	0.00976275i
$330$	−4.83668	−	10.0435i	−0.266251	−	0.552875i
$331$		−	9.34951i		−	0.513895i	−0.966425	−	0.256948i	$-0.917283\pi$
$331$		−	9.34951i		−	0.513895i	0.966425	−	0.256948i	$-0.0827168\pi$
$332$	73.0423	−	35.1753i	4.00872	−	1.93050i
$333$	−6.77580	+	5.40352i	−0.371312	+	0.296111i
$334$	−0.346781	+	0.276549i	−0.0189750	+	0.0151321i
$335$	−11.4839	+	5.53035i	−0.627432	+	0.302156i
$336$		−	0.304770i		−	0.0166266i
$337$	−6.69528	−	13.9029i	−0.364715	−	0.757339i	0.635172	−	0.772371i	$-0.280929\pi$
$337$	−6.69528	−	13.9029i	−0.364715	−	0.757339i	−0.999887	+	0.0150318i	$0.995215\pi$
$338$	31.0142	−	7.07880i	1.68695	−	0.385036i
$339$	1.79038	+	0.862200i	0.0972399	+	0.0468283i
$340$	21.0593	−	43.7301i	1.14210	−	2.37160i
$341$	4.33066	−	18.9739i	0.234519	−	1.02749i
$342$	3.25023	+	4.07566i	0.175753	+	0.220387i
$343$	−0.655544	+	0.822026i	−0.0353961	+	0.0443853i
$344$	−13.3489	−	58.4852i	−0.719723	−	3.15331i
$345$	−1.30159	−	0.297081i	−0.0700755	−	0.0159943i
$346$	−24.5572	−	19.5837i	−1.32020	−	1.05282i
$347$	9.39939			0.504586			0.252293	−	0.967651i	$-0.418815\pi$
$347$	9.39939			0.504586			0.252293	+	0.967651i	$0.418815\pi$
$348$		0			0
$349$	−24.5072			−1.31184			−0.655921	−	0.754830i	$-0.727720\pi$
$349$	−24.5072			−1.31184			−0.655921	+	0.754830i	$0.727720\pi$
$350$	−0.253543	−	0.202194i	−0.0135524	−	0.0108077i
$351$	−2.19127	−	0.500143i	−0.116961	−	0.0266957i
$352$	−8.06910	−	35.3530i	−0.430085	−	1.88432i
$353$	15.0557	−	18.8793i	0.801336	−	1.00484i	−0.198358	−	0.980130i	$-0.563561\pi$
$353$	15.0557	−	18.8793i	0.801336	−	1.00484i	0.999695	−	0.0247144i	$-0.00786764\pi$
$354$	−7.07084	−	8.86655i	−0.375811	−	0.471252i
$355$	−2.81748	+	12.3442i	−0.149536	+	0.655162i
$356$	−14.0743	+	29.2255i	−0.745934	+	1.54895i
$357$	−0.117205	−	0.0564428i	−0.00620313	−	0.00298727i
$358$	−4.24936	+	0.969889i	−0.224586	+	0.0512602i
$359$	6.61463	+	13.7354i	0.349107	+	0.724928i	0.999396	−	0.0347593i	$-0.0110665\pi$
$359$	6.61463	+	13.7354i	0.349107	+	0.724928i	−0.650289	+	0.759687i	$0.725352\pi$
$360$		−	52.2653i		−	2.75462i
$361$	−16.6596	+	8.02284i	−0.876821	+	0.422255i
$362$	−31.2579	+	24.9273i	−1.64288	+	1.31015i
$363$	−1.12526	+	0.897365i	−0.0590608	+	0.0470994i
$364$	−0.284621	+	0.137066i	−0.0149182	+	0.00718422i
$365$		−	22.9713i		−	1.20237i
$366$	1.76969	+	3.67480i	0.0925033	+	0.192085i
$367$	−12.4811	+	2.84872i	−0.651506	+	0.148702i	−0.535485	−	0.844545i	$-0.679871\pi$
$367$	−12.4811	+	2.84872i	−0.651506	+	0.148702i	−0.116021	+	0.993247i	$0.537014\pi$
$368$	−9.79660	−	4.71780i	−0.510683	−	0.245932i
$369$	−8.12491	+	16.8715i	−0.422966	+	0.878297i
$370$	4.61371	−	20.2140i	0.239855	−	1.05088i
$371$	0.260266	+	0.326363i	0.0135123	+	0.0169439i
$372$	−6.73400	+	8.44417i	−0.349142	+	0.437810i
$373$	0.00435576	+	0.0190838i	0.000225533	+	0.000988124i	0.975041	−	0.222027i	$-0.0712673\pi$
$373$	0.00435576	+	0.0190838i	0.000225533	+	0.000988124i	−0.974815	+	0.223015i	$0.928410\pi$
$374$	−37.7809	−	8.62324i	−1.95360	−	0.445897i
$375$	−2.96165	−	2.36184i	−0.152939	−	0.121965i
$376$	−76.4297			−3.94156
$377$		0			0
$378$	−0.498827			−0.0256569
$379$	−4.09345	−	3.26442i	−0.210267	−	0.167682i	0.512694	−	0.858572i	$-0.328648\pi$
$379$	−4.09345	−	3.26442i	−0.210267	−	0.167682i	−0.722960	+	0.690890i	$0.757219\pi$
$380$	−8.56825	−	1.95565i	−0.439542	−	0.100323i
$381$	−0.570698	−	2.50039i	−0.0292378	−	0.128099i
$382$	33.2279	−	41.6665i	1.70009	−	2.13184i
$383$	0.171362	+	0.214881i	0.00875620	+	0.0109799i	0.786190	−	0.617984i	$-0.212051\pi$
$383$	0.171362	+	0.214881i	0.00875620	+	0.0109799i	−0.777434	+	0.628964i	$0.783479\pi$
$384$	0.220214	−	0.964821i	0.0112378	−	0.0492358i
$385$	−0.317824	+	0.659969i	−0.0161978	+	0.0336351i
$386$	7.34930	+	3.53924i	0.374069	+	0.180142i
$387$	−22.7511	+	5.19280i	−1.15651	+	0.263965i
$388$	23.6425	+	49.0941i	1.20026	+	2.49237i
$389$			7.53699i			0.382140i	0.981576	+	0.191070i	$0.0611958\pi$
$389$			7.53699i			0.382140i	−0.981576	+	0.191070i	$0.938804\pi$
$390$	2.34183	−	1.12776i	0.118583	−	0.0571065i
$391$	−3.62862	+	2.89373i	−0.183507	+	0.146342i
$392$	39.4588	−	31.4673i	1.99297	−	1.58934i
$393$	−2.62214	+	1.26276i	−0.132270	+	0.0636977i
$394$		−	7.39197i		−	0.372402i
$395$	14.7670	+	30.6641i	0.743010	+	1.54288i
$396$	−49.3490	+	11.2636i	−2.47988	+	0.566017i
$397$	−15.0772	−	7.26080i	−0.756703	−	0.364409i	0.0154209	−	0.999881i	$-0.495091\pi$
$397$	−15.0772	−	7.26080i	−0.756703	−	0.364409i	−0.772124	+	0.635472i	$0.780805\pi$
$398$	21.5882	−	44.8284i	1.08212	−	2.24705i
$399$	−0.00524149	+	0.0229645i	−0.000262403	+	0.00114966i
$400$	9.54817	+	11.9730i	0.477408	+	0.598651i
$401$	−5.02376	+	6.29959i	−0.250874	+	0.314587i	−0.891283	−	0.453448i	$-0.850194\pi$
$401$	−5.02376	+	6.29959i	−0.250874	+	0.314587i	0.640408	+	0.768035i	$0.278765\pi$
$402$	−1.25672	−	5.50607i	−0.0626797	−	0.274618i
$403$	4.42412	+	1.00978i	0.220381	+	0.0503005i
$404$	−35.2183	−	28.0857i	−1.75218	−	1.39731i
$405$	−18.8373			−0.936034
$406$		0			0
$407$	−11.6657			−0.578247
$408$	9.76812	+	7.78982i	0.483594	+	0.385653i
$409$	9.26533	+	2.11475i	0.458141	+	0.104568i	0.445362	−	0.895351i	$-0.353075\pi$
$409$	9.26533	+	2.11475i	0.458141	+	0.104568i	0.0127792	+	0.999918i	$0.495932\pi$
$410$	−9.96892	−	43.6767i	−0.492330	−	2.15704i
$411$	0.426994	−	0.535433i	0.0210620	−	0.0264110i
$412$	27.3266	+	34.2665i	1.34628	+	1.68819i
$413$	−0.165826	+	0.726530i	−0.00815975	+	0.0357502i
$414$	−3.73256	+	7.75073i	−0.183445	+	0.380928i
$415$	39.4913	+	19.0180i	1.93855	+	0.933558i
$416$	8.24323	−	1.88146i	0.404158	−	0.0922464i
$417$	2.02852	+	4.21226i	0.0993370	+	0.206275i
$418$			7.01695i			0.343210i
$419$	20.9457	−	10.0869i	1.02327	−	0.492779i	0.154496	−	0.987993i	$-0.450625\pi$
$419$	20.9457	−	10.0869i	1.02327	−	0.492779i	0.868771	+	0.495214i	$0.164911\pi$
$420$	0.317824	−	0.253456i	0.0155082	−	0.0123674i
$421$	13.6455	−	10.8819i	0.665040	−	0.530351i	−0.231769	−	0.972771i	$-0.574451\pi$
$421$	13.6455	−	10.8819i	0.665040	−	0.530351i	0.896808	+	0.442420i	$0.145880\pi$
$422$	41.9554	−	20.2046i	2.04236	−	0.983546i
$423$			29.7317i			1.44560i
$424$	−17.3950	−	36.1211i	−0.844775	−	1.75419i
$425$	6.37274	−	1.45454i	0.309123	−	0.0705553i
$426$	−5.05463	−	2.43418i	−0.244898	−	0.117936i
$427$	0.116289	−	0.241476i	0.00562760	−	0.0116858i
$428$	−5.17015	+	22.6519i	−0.249909	+	1.09492i
$429$	−0.911812	−	1.14338i	−0.0440227	−	0.0552027i
$430$	34.8091	−	43.6492i	1.67864	−	2.10495i
$431$	7.29534	+	31.9630i	0.351404	+	1.53960i	0.773942	+	0.633257i	$0.218282\pi$
$431$	7.29534	+	31.9630i	0.351404	+	1.53960i	−0.422537	+	0.906345i	$0.638861\pi$
$432$	22.9655	+	5.24172i	1.10493	+	0.252192i
$433$	3.92547	+	3.13046i	0.188646	+	0.150440i	0.713259	−	0.700901i	$-0.247218\pi$
$433$	3.92547	+	3.13046i	0.188646	+	0.150440i	−0.524613	+	0.851341i	$0.675790\pi$
$434$	1.00712			0.0483433
$435$		0			0
$436$	20.6859			0.990677
$437$	0.657039	+	0.523971i	0.0314304	+	0.0250649i
$438$	9.92311	+	2.26488i	0.474144	+	0.108220i
$439$	−4.75507	−	20.8333i	−0.226947	−	0.994320i	−0.952113	−	0.305746i	$-0.901094\pi$
$439$	−4.75507	−	20.8333i	−0.226947	−	0.994320i	0.725166	−	0.688574i	$-0.241763\pi$
$440$	43.8637	−	55.0034i	2.09112	−	2.62218i
$441$	−12.2410	−	15.3497i	−0.582904	−	0.730939i
$442$	2.01067	−	8.80932i	0.0956379	−	0.419017i
$443$	−17.2812	+	35.8848i	−0.821056	+	1.70494i	−0.118913	+	0.992905i	$0.537941\pi$
$443$	−17.2812	+	35.8848i	−0.821056	+	1.70494i	−0.702143	+	0.712036i	$0.747773\pi$
$444$	5.83285	+	2.80895i	0.276815	+	0.133307i
$445$	−17.0983	+	3.90257i	−0.810535	+	0.184999i
$446$	20.0209	+	41.5738i	0.948017	+	1.96858i
$447$			2.38672i			0.112888i
$448$	0.440674	−	0.212217i	0.0208199	−	0.0100263i
$449$	7.76093	−	6.18914i	0.366261	−	0.292084i	−0.423014	−	0.906123i	$-0.639028\pi$
$449$	7.76093	−	6.18914i	0.366261	−	0.292084i	0.789275	+	0.614040i	$0.210456\pi$
$450$	9.47264	−	7.55418i	0.446545	−	0.356107i
$451$	−22.7101	+	10.9366i	−1.06937	+	0.514984i
$452$			21.5873i			1.01538i
$453$	−3.40103	−	7.06232i	−0.159794	−	0.331817i
$454$	−56.3552	+	12.8627i	−2.64488	+	0.603676i
$455$	−0.153884	−	0.0741067i	−0.00721420	−	0.00347418i
$456$	0.981568	−	2.03825i	0.0459661	−	0.0954497i
$457$	3.25424	−	14.2578i	0.152227	−	0.666951i	−0.840008	−	0.542574i	$-0.817450\pi$
$457$	3.25424	−	14.2578i	0.152227	−	0.666951i	0.992235	−	0.124377i	$-0.0396931\pi$
$458$	16.1742	+	20.2818i	0.755772	+	0.947708i
$459$	6.26895	−	7.86102i	0.292610	−	0.366921i
$460$	−3.22729	−	14.1397i	−0.150473	−	0.659266i
$461$	−18.3796	−	4.19502i	−0.856023	−	0.195382i	−0.228081	−	0.973642i	$-0.573245\pi$
$461$	−18.3796	−	4.19502i	−0.856023	−	0.195382i	−0.627942	+	0.778260i	$0.716102\pi$
$462$	−0.253756	−	0.202363i	−0.0118058	−	0.00941480i
$463$	35.4987			1.64977			0.824883	−	0.565304i	$-0.191241\pi$
$463$	35.4987			1.64977			0.824883	+	0.565304i	$0.191241\pi$
$464$		0			0
$465$	−5.83944			−0.270798
$466$	40.8490	+	32.5760i	1.89229	+	1.50905i
$467$	5.91573	+	1.35023i	0.273747	+	0.0624810i	0.357191	−	0.934031i	$-0.383735\pi$
$467$	5.91573	+	1.35023i	0.273747	+	0.0624810i	−0.0834434	+	0.996513i	$0.526592\pi$
$468$	−2.62632	−	11.5067i	−0.121402	−	0.531895i
$469$	−0.231386	+	0.290149i	−0.0106844	+	0.0133978i
$470$	−44.3487	−	55.6115i	−2.04565	−	2.56517i
$471$	0.925181	−	4.05348i	0.0426301	−	0.186775i
$472$	31.0540	−	64.4842i	1.42937	−	2.96813i
$473$	−28.3011	−	13.6291i	−1.30129	−	0.626667i
$474$	−14.7022	+	3.35568i	−0.675294	+	0.154131i
$475$	−0.513542	−	1.06638i	−0.0235629	−	0.0489289i
$476$		−	1.41319i		−	0.0647732i
$477$	−14.0513	+	6.76676i	−0.643366	+	0.309829i
$478$	−2.40265	+	1.91605i	−0.109894	+	0.0876379i
$479$	−2.75134	+	2.19412i	−0.125712	+	0.100252i	−0.684328	−	0.729175i	$-0.739904\pi$
$479$	−2.75134	+	2.19412i	−0.125712	+	0.100252i	0.558616	+	0.829427i	$0.311333\pi$
$480$	−9.80284	+	4.72080i	−0.447436	+	0.215474i
$481$		−	2.72008i		−	0.124025i
$482$	−13.3592	−	27.7407i	−0.608495	−	1.26355i
$483$	−0.0378970	+	0.00864974i	−0.00172437	+	0.000393577i
$484$	−14.0868	−	6.78386i	−0.640311	−	0.308357i
$485$	−12.7826	+	26.5434i	−0.580429	+	1.20527i
$486$	6.28952	−	27.5562i	0.285299	−	1.24997i
$487$	4.91151	+	6.15884i	0.222562	+	0.279083i	0.880559	−	0.473937i	$-0.157168\pi$
$487$	4.91151	+	6.15884i	0.222562	+	0.279083i	−0.657997	+	0.753020i	$0.728596\pi$
$488$	−16.0493	+	20.1252i	−0.726517	+	0.911024i
$489$	1.02237	+	4.47931i	0.0462333	+	0.202561i
$490$	45.7922	+	10.4518i	2.06868	+	0.472163i
$491$	17.0676	+	13.6110i	0.770250	+	0.614254i	0.927723	−	0.373269i	$-0.121763\pi$
$491$	17.0676	+	13.6110i	0.770250	+	0.614254i	−0.157473	+	0.987523i	$0.550335\pi$
$492$	13.9884			0.630646
$493$		0			0
$494$	−1.63614			−0.0736132
$495$	−21.3967	−	17.0633i	−0.961710	−	0.766938i
$496$	−46.3667	−	10.5829i	−2.08193	−	0.475186i
$497$	0.0820332	+	0.359411i	0.00367969	+	0.0161218i
$498$	−12.1091	+	15.1843i	−0.542620	+	0.680424i
$499$	18.4625	+	23.1512i	0.826493	+	1.03639i	0.998682	+	0.0513255i	$0.0163446\pi$
$499$	18.4625	+	23.1512i	0.826493	+	1.03639i	−0.172189	+	0.985064i	$0.555084\pi$
$500$	9.15705	−	40.1197i	0.409516	−	1.79421i
$501$	0.0324889	−	0.0674639i	0.00145150	−	0.00301406i
$502$	17.9722	+	8.65495i	0.802138	+	0.386289i
$503$	−13.7228	+	3.13213i	−0.611868	+	0.139655i	−0.517215	−	0.855856i	$-0.673031\pi$
$503$	−13.7228	+	3.13213i	−0.611868	+	0.139655i	−0.0946528	+	0.995510i	$0.530174\pi$
$504$	−0.660260	−	1.37104i	−0.0294103	−	0.0610712i
$505$		−	24.3547i		−	1.08377i
$506$	−10.4329	+	5.02423i	−0.463800	+	0.223354i
$507$	−4.19876	+	3.34840i	−0.186473	+	0.148707i
$508$	21.7828	−	17.3712i	0.966454	−	0.770721i
$509$	25.3311	−	12.1988i	1.12278	−	0.540702i	0.222029	−	0.975040i	$-0.428732\pi$
$509$	25.3311	−	12.1988i	1.12278	−	0.540702i	0.900750	+	0.434338i	$0.143018\pi$
$510$			11.6275i			0.514875i
$511$	−0.290194	−	0.602593i	−0.0128374	−	0.0266572i
$512$	43.5160	−	9.93223i	1.92315	−	0.438947i
$513$	−1.64031	−	0.789929i	−0.0724213	−	0.0348762i
$514$	−12.8417	+	26.6660i	−0.566421	+	1.17619i
$515$	−5.27296	+	23.1024i	−0.232354	+	1.01801i
$516$	10.8689	+	13.6291i	0.478474	+	0.599988i
$517$	−24.9524	+	31.2893i	−1.09740	+	1.37610i
$518$	−0.134332	−	0.588547i	−0.00590221	−	0.0258593i
$519$	5.16959	+	1.17993i	0.226920	+	0.0517930i
$520$	12.8251	+	10.2277i	0.562417	+	0.448513i
$521$	−30.6374			−1.34225			−0.671125	−	0.741344i	$-0.734189\pi$
$521$	−30.6374			−1.34225			−0.671125	+	0.741344i	$0.734189\pi$
$522$		0			0
$523$	31.1728			1.36309			0.681546	−	0.731775i	$-0.261308\pi$
$523$	31.1728			1.36309			0.681546	+	0.731775i	$0.261308\pi$
$524$	−24.7186	−	19.7124i	−1.07984	−	0.861141i
$525$	0.0533740	+	0.0121823i	0.00232943	+	0.000531677i
$526$	9.69782	+	42.4889i	0.422845	+	1.85261i
$527$	−12.6569	+	15.8712i	−0.551341	+	0.691360i
$528$	9.55619	+	11.9831i	0.415880	+	0.521497i
$529$	4.80938	−	21.0713i	0.209104	−	0.916142i
$530$	16.1887	−	33.6163i	0.703194	−	1.46020i
$531$	−25.0848	−	12.0802i	−1.08859	−	0.524236i
$532$	−0.249471	+	0.0569402i	−0.0108160	+	0.00246867i
$533$	−2.55007	−	5.29528i	−0.110456	−	0.229364i
$534$		−	7.77085i		−	0.336278i
$535$	−11.3180	+	5.45046i	−0.489319	+	0.235644i
$536$	27.8666	−	22.2229i	1.20365	−	0.959883i
$537$	0.575285	−	0.458775i	0.0248254	−	0.0197976i
$538$	−51.4283	+	24.7666i	−2.21723	+	1.06776i
$539$		−	26.4272i		−	1.13830i
$540$	13.6326	+	28.3083i	0.586653	+	1.21820i
$541$	21.8159	−	4.97933i	0.937937	−	0.214078i	0.273883	−	0.961763i	$-0.411692\pi$
$541$	21.8159	−	4.97933i	0.937937	−	0.214078i	0.664054	+	0.747685i	$0.268835\pi$
$542$	−15.3446	−	7.38955i	−0.659106	−	0.317409i
$543$	2.92846	−	6.08100i	0.125672	−	0.260961i
$544$	−8.41663	+	36.8757i	−0.360860	+	1.58103i
$545$	6.97320	+	8.74412i	0.298699	+	0.374557i
$546$	0.0471849	−	0.0591680i	0.00201933	−	0.00253216i
$547$	2.73618	+	11.9880i	0.116991	+	0.512570i	0.999135	+	0.0415902i	$0.0132424\pi$
$547$	2.73618	+	11.9880i	0.116991	+	0.512570i	−0.882144	+	0.470980i	$0.843900\pi$
$548$	7.25318	+	1.65549i	0.309841	+	0.0707191i
$549$	7.82883	+	6.24328i	0.334126	+	0.266457i
$550$	16.3088			0.695408
$551$		0			0
$552$	3.73332			0.158901
$553$	0.774751	+	0.617843i	0.0329457	+	0.0262734i
$554$	54.6198	+	12.4666i	2.32057	+	0.529655i
$555$	0.778878	+	3.41249i	0.0330615	+	0.144852i
$556$	−31.6664	+	39.7084i	−1.34296	+	1.68401i
$557$	−3.74571	−	4.69697i	−0.158711	−	0.199017i	0.696118	−	0.717928i	$-0.254909\pi$
$557$	−3.74571	−	4.69697i	−0.158711	−	0.199017i	−0.854829	+	0.518911i	$0.826338\pi$
$558$	−8.37282	+	36.6837i	−0.354450	+	1.55295i
$559$	3.17788	−	6.59895i	0.134410	−	0.279106i
$560$	1.61277	+	0.776671i	0.0681521	+	0.0328203i
$561$	6.37809	−	1.45576i	0.269283	−	0.0614621i
$562$	−9.82044	−	20.3923i	−0.414250	−	0.860199i
$563$			28.0097i			1.18047i	0.807233	+	0.590233i	$0.200964\pi$
$563$			28.0097i			1.18047i	−0.807233	+	0.590233i	$0.799036\pi$
$564$	20.0103	−	9.63643i	0.842584	−	0.405767i
$565$	−9.12514	+	7.27705i	−0.383897	+	0.306148i
$566$	−44.7396	+	35.6787i	−1.88055	+	1.49969i
$567$	−0.494149	+	0.237969i	−0.0207523	+	0.00999378i
$568$		−	35.4064i		−	1.48562i
$569$	15.0455	+	31.2424i	0.630742	+	1.30975i	0.934148	+	0.356887i	$0.116162\pi$
$569$	15.0455	+	31.2424i	0.630742	+	1.30975i	−0.303406	+	0.952861i	$0.598124\pi$
$570$	2.05262	−	0.468497i	0.0859748	−	0.0196232i
$571$	−3.94460	−	1.89962i	−0.165077	−	0.0794967i	0.349521	−	0.936929i	$-0.386344\pi$
$571$	−3.94460	−	1.89962i	−0.165077	−	0.0794967i	−0.514597	+	0.857432i	$0.672059\pi$
$572$	6.89308	−	14.3136i	0.288214	−	0.598483i
$573$	−2.00200	+	8.77133i	−0.0836347	+	0.366427i
$574$	−0.813271	−	1.01981i	−0.0339453	−	0.0425660i
$575$	1.21781	−	1.52709i	0.0507862	−	0.0636839i
$576$	4.06629	+	17.8156i	0.169429	+	0.742316i
$577$	−43.7271	−	9.98044i	−1.82038	−	0.415491i	−0.830459	−	0.557079i	$-0.811922\pi$
$577$	−43.7271	−	9.98044i	−1.82038	−	0.415491i	−0.989926	+	0.141588i	$0.954779\pi$
$578$	−2.98659	−	2.38172i	−0.124226	−	0.0990667i
$579$	−1.37707			−0.0572289
$580$		0			0
$581$	1.27621			0.0529459
$582$	−10.2058	−	8.13889i	−0.423046	−	0.337368i
$583$	−20.4665	−	4.67134i	−0.847636	−	0.193467i
$584$	14.2938	+	62.6253i	0.591483	+	2.59145i
$585$	3.97863	−	4.98904i	0.164496	−	0.206272i
$586$	−3.61205	−	4.52936i	−0.149212	−	0.187106i
$587$	−1.42586	+	6.24712i	−0.0588517	+	0.257846i	−0.995792	−	0.0916436i	$-0.970788\pi$
$587$	−1.42586	+	6.24712i	−0.0588517	+	0.257846i	0.936940	+	0.349490i	$0.113645\pi$
$588$	−6.36333	+	13.2136i	−0.262419	+	0.544919i
$589$	3.31173	+	1.59485i	0.136458	+	0.0657145i
$590$	64.9390	−	14.8219i	2.67349	−	0.610208i
$591$	0.541443	+	1.12432i	0.0222720	+	0.0462482i
$592$			28.5076i			1.17166i
$593$	−1.27716	+	0.615047i	−0.0524466	+	0.0252570i	−0.459923	−	0.887959i	$-0.652123\pi$
$593$	−1.27716	+	0.615047i	−0.0524466	+	0.0252570i	0.407477	+	0.913216i	$0.366409\pi$
$594$	19.6131	−	15.6409i	0.804736	−	0.641756i
$595$	0.597365	−	0.476383i	0.0244896	−	0.0195298i
$596$	−23.3601	+	11.2496i	−0.956868	+	0.460803i
$597$			8.39968i			0.343776i
$598$	−1.17150	−	2.43263i	−0.0479060	−	0.0994778i
$599$	−36.3198	+	8.28976i	−1.48399	+	0.338710i	−0.886335	−	0.463045i	$-0.846757\pi$
$599$	−36.3198	+	8.28976i	−1.48399	+	0.338710i	−0.597652	+	0.801755i	$0.703900\pi$
$600$	−4.73729	−	2.28136i	−0.193399	−	0.0931360i
$601$	10.9848	−	22.8102i	0.448080	−	0.930448i	−0.547524	−	0.836790i	$-0.684430\pi$
$601$	10.9848	−	22.8102i	0.448080	−	0.930448i	0.995604	−	0.0936583i	$-0.0298561\pi$
$602$	0.361712	−	1.58476i	0.0147423	−	0.0645901i
$603$	−8.64485	−	10.8403i	−0.352046	−	0.441451i
$604$	53.0922	−	66.5755i	2.16029	−	2.70892i
$605$	−1.88106	−	8.24145i	−0.0764759	−	0.335063i
$606$	10.5207	+	2.40128i	0.427374	+	0.0975454i
$607$	−23.3200	−	18.5971i	−0.946529	−	0.754831i	0.0230188	−	0.999735i	$-0.492672\pi$
$607$	−23.3200	−	18.5971i	−0.946529	−	0.754831i	−0.969547	+	0.244904i	$0.921244\pi$
$608$	6.84883			0.277757
$609$		0			0
$610$	−23.9561			−0.969953
$611$	−7.29569	−	5.81812i	−0.295152	−	0.235376i
$612$	51.4744	+	11.7487i	2.08073	+	0.474913i
$613$	7.02909	+	30.7965i	0.283902	+	1.24386i	0.892743	+	0.450565i	$0.148778\pi$
$613$	7.02909	+	30.7965i	0.283902	+	1.24386i	−0.608841	+	0.793292i	$0.708365\pi$
$614$	−22.5151	+	28.2331i	−0.908636	+	1.13939i
$615$	4.71547	+	5.91302i	0.190146	+	0.238436i
$616$	0.455802	−	1.99700i	0.0183648	−	0.0804613i
$617$	8.36295	−	17.3659i	0.336680	−	0.699123i	−0.662053	−	0.749457i	$-0.730314\pi$
$617$	8.36295	−	17.3659i	0.336680	−	0.699123i	0.998732	+	0.0503345i	$0.0160288\pi$
$618$	−9.45982	−	4.55561i	−0.380530	−	0.183253i
$619$	43.7856	−	9.99377i	1.75989	−	0.401683i	0.784142	−	0.620581i	$-0.213103\pi$
$619$	43.7856	−	9.99377i	1.75989	−	0.401683i	0.975748	+	0.218898i	$0.0702461\pi$
$620$	−27.5238	−	57.1538i	−1.10538	−	2.29535i
$621$		−	3.00443i		−	0.120564i
$622$	3.31114	−	1.59456i	0.132765	−	0.0639360i
$623$	−0.399228	+	0.318374i	−0.0159947	+	0.0127554i
$624$	−2.79408	+	2.22821i	−0.111853	+	0.0891997i
$625$	27.5174	−	13.2517i	1.10070	−	0.530067i
$626$			74.8168i			2.99028i
$627$	−0.513974	−	1.06728i	−0.0205261	−	0.0426229i
$628$	44.0344	−	10.0506i	1.75717	−	0.401062i
$629$	10.9631	+	5.27955i	0.437128	+	0.210510i
$630$	0.614475	−	1.27597i	0.0244813	−	0.0508359i
$631$	−8.48287	+	37.1659i	−0.337698	+	1.47955i	0.466145	+	0.884708i	$0.345643\pi$
$631$	−8.48287	+	37.1659i	−0.337698	+	1.47955i	−0.803843	+	0.594842i	$0.797215\pi$
$632$	−59.3391	−	74.4089i	−2.36038	−	2.95983i
$633$	−4.90146	+	6.14624i	−0.194816	+	0.244291i
$634$	−12.9256	−	56.6308i	−0.513341	−	2.24910i
$635$	14.6859	+	3.35195i	0.582791	+	0.133018i
$636$	9.10845	+	7.26374i	0.361173	+	0.288026i
$637$	6.16199			0.244147
$638$		0			0
$639$	−13.7733			−0.544864
$640$	4.54442	+	3.62406i	0.179634	+	0.143253i
$641$	−36.0483	−	8.22778i	−1.42382	−	0.324978i	−0.559881	−	0.828573i	$-0.689153\pi$
$641$	−36.0483	−	8.22778i	−1.42382	−	0.324978i	−0.863940	+	0.503595i	$0.832010\pi$
$642$	−1.23857	−	5.42652i	−0.0488824	−	0.214168i
$643$	10.6531	−	13.3586i	0.420118	−	0.526811i	−0.526065	−	0.850444i	$-0.676333\pi$
$643$	10.6531	−	13.3586i	0.420118	−	0.526811i	0.946182	+	0.323634i	$0.104904\pi$
$644$	−0.263285	−	0.330148i	−0.0103749	−	0.0130097i
$645$	−2.09726	+	9.18870i	−0.0825796	+	0.361805i
$646$	3.17567	−	6.59434i	0.124945	−	0.259451i
$647$	5.58002	+	2.68719i	0.219373	+	0.105644i	0.540343	−	0.841445i	$-0.318295\pi$
$647$	5.58002	+	2.68719i	0.219373	+	0.105644i	−0.320970	+	0.947089i	$0.604009\pi$
$648$	51.3551	−	11.7215i	2.01742	−	0.460462i
$649$	−16.2606	−	33.7655i	−0.638286	−	1.32541i
$650$			3.80270i			0.149154i
$651$	−0.153183	+	0.0737689i	−0.00600370	+	0.00289123i
$652$	−39.0226	+	31.1195i	−1.52824	+	1.21873i
$653$	12.3205	−	9.82526i	0.482138	−	0.384492i	−0.352042	−	0.935984i	$-0.614513\pi$
$653$	12.3205	−	9.82526i	0.482138	−	0.384492i	0.834180	+	0.551492i	$0.185941\pi$
$654$	−4.46480	+	2.15013i	−0.174587	+	0.0840769i
$655$		−	17.0938i		−	0.667909i
$656$	26.7259	+	55.4968i	1.04347	+	2.16679i
$657$	24.3617	−	5.56039i	0.950439	−	0.216932i
$658$	−1.86591	−	0.898573i	−0.0727406	−	0.0350300i
$659$	−7.20709	+	14.9657i	−0.280749	+	0.582980i	−0.992887	−	0.119058i	$-0.962012\pi$
$659$	−7.20709	+	14.9657i	−0.280749	+	0.582980i	0.712139	+	0.702039i	$0.247727\pi$
$660$	−4.54912	+	19.9310i	−0.177074	+	0.775814i
$661$	−24.9646	−	31.3046i	−0.971011	−	1.21761i	−0.976033	−	0.217622i	$-0.930170\pi$
$661$	−24.9646	−	31.3046i	−0.971011	−	1.21761i	0.00502177	−	0.999987i	$-0.498402\pi$
$662$	−15.1705	+	19.0232i	−0.589617	+	0.739356i
$663$	0.339437	+	1.48717i	0.0131827	+	0.0577570i
$664$	−119.497	−	27.2743i	−4.63737	−	1.05845i
$665$	−0.108166	−	0.0862591i	−0.00419448	−	0.00334498i
$666$	22.5542			0.873959
$667$		0			0
$668$	0.813440			0.0314729
$669$	−6.09035	−	4.85689i	−0.235466	−	0.187778i
$670$	32.3395	+	7.38127i	1.24938	+	0.285163i
$671$	2.99929	+	13.1407i	0.115786	+	0.507292i
$672$	−0.197515	+	0.247676i	−0.00761931	+	0.00955431i
$673$	8.24529	+	10.3393i	0.317833	+	0.398550i	0.914926	−	0.403622i	$-0.132249\pi$
$673$	8.24529	+	10.3393i	0.317833	+	0.398550i	−0.597093	+	0.802172i	$0.703678\pi$
$674$	−8.93608	+	39.1515i	−0.344205	+	1.50806i
$675$	−1.83595	+	3.81239i	−0.0706658	+	0.146739i
$676$	−52.5631	−	25.3131i	−2.02166	−	0.973580i
$677$	23.2131	−	5.29824i	0.892152	−	0.203628i	0.248214	−	0.968705i	$-0.420157\pi$
$677$	23.2131	−	5.29824i	0.892152	−	0.203628i	0.643938	+	0.765077i	$0.277299\pi$
$678$	−2.24382	−	4.65935i	−0.0861735	−	0.178941i
$679$			0.857779i			0.0329185i
$680$	−66.1149	+	31.8392i	−2.53539	+	1.22098i
$681$	7.62945	−	6.08428i	0.292361	−	0.233150i
$682$	−39.5984	+	31.5787i	−1.51630	+	1.20921i
$683$	−25.9180	+	12.4814i	−0.991723	+	0.477589i	−0.858122	−	0.513446i	$-0.828368\pi$
$683$	−25.9180	+	12.4814i	−0.991723	+	0.477589i	−0.133601	+	0.991035i	$0.542654\pi$
$684$		−	9.56022i		−	0.365544i
$685$	1.74525	+	3.62404i	0.0666825	+	0.138468i
$686$	2.66763	−	0.608869i	0.101851	−	0.0232467i
$687$	−3.94569	−	1.90014i	−0.150537	−	0.0724949i
$688$	−33.3056	+	69.1598i	−1.26977	+	2.63669i
$689$	1.08921	−	4.77215i	0.0414957	−	0.181804i
$690$	2.16627	+	2.71642i	0.0824686	+	0.103412i
$691$	16.9038	−	21.1967i	0.643050	−	0.806360i	−0.348330	−	0.937372i	$-0.613251\pi$
$691$	16.9038	−	21.1967i	0.643050	−	0.806360i	0.991381	+	0.131012i	$0.0418227\pi$
$692$	12.8180	+	56.1591i	0.487265	+	2.13485i
$693$	−0.776845	−	0.177310i	−0.0295099	−	0.00673545i
$694$	−19.1246	−	15.2514i	−0.725962	−	0.578935i
$695$	−27.4598			−1.04161
$696$		0			0
$697$	26.2919			0.995875
$698$	49.8641	+	39.7653i	1.88738	+	1.50514i
$699$	−8.59923	−	1.96272i	−0.325253	−	0.0742368i
$700$	0.132340	+	0.579820i	0.00500199	+	0.0219151i
$701$	15.2827	−	19.1639i	0.577219	−	0.723810i	−0.404416	−	0.914575i	$-0.632525\pi$
$701$	15.2827	−	19.1639i	0.577219	−	0.723810i	0.981636	+	0.190765i	$0.0610968\pi$
$702$	3.64698	+	4.57317i	0.137646	+	0.172603i
$703$	0.490280	−	2.14806i	0.0184912	−	0.0810154i
$704$	−10.6725	+	22.1616i	−0.402233	+	0.835246i
$705$	10.8188	+	5.21007i	0.407460	+	0.196223i
$706$	−61.2669	+	13.9838i	−2.30581	+	0.526286i
$707$	−0.307670	−	0.638883i	−0.0115711	−	0.0240277i
$708$			20.7981i			0.781641i
$709$	14.9484	−	7.19875i	0.561397	−	0.270355i	−0.131590	−	0.991304i	$-0.542008\pi$
$709$	14.9484	−	7.19875i	0.561397	−	0.270355i	0.692988	+	0.720950i	$0.256294\pi$
$710$	25.7623	−	20.5447i	0.966841	−	0.771030i
$711$	−28.9456	+	23.0833i	−1.08554	+	0.865692i
$712$	44.1856	−	21.2787i	1.65593	−	0.797452i
$713$			6.06588i			0.227169i
$714$	0.146889	+	0.305018i	0.00549718	+	0.0114150i
$715$	8.37413	−	1.91134i	0.313175	−	0.0714801i
$716$	7.20184	+	3.46823i	0.269146	+	0.129614i
$717$	0.225097	−	0.467418i	0.00840638	−	0.0174560i
$718$	8.82843	−	38.6799i	0.329474	−	1.44352i
$719$	25.2525	+	31.6656i	0.941758	+	1.18093i	0.983337	+	0.181792i	$0.0581897\pi$
$719$	25.2525	+	31.6656i	0.941758	+	1.18093i	−0.0415791	+	0.999135i	$0.513239\pi$
$720$	−41.6978	+	52.2874i	−1.55398	+	1.94863i
$721$	0.153526	+	0.672643i	0.00571762	+	0.0250505i
$722$	46.9146	+	10.7079i	1.74598	+	0.398508i
$723$	4.06386	+	3.24082i	0.151137	+	0.120527i
$724$	73.3212			2.72496
$725$		0			0
$726$	3.74559			0.139012
$727$	−24.8074	−	19.7832i	−0.920054	−	0.733719i	0.0441095	−	0.999027i	$-0.485955\pi$
$727$	−24.8074	−	19.7832i	−0.920054	−	0.733719i	−0.964164	+	0.265308i	$0.914526\pi$
$728$	0.465638	+	0.106279i	0.0172577	+	0.00393896i
$729$	−3.81148	−	16.6992i	−0.141166	−	0.618489i
$730$	−37.2731	+	46.7390i	−1.37954	+	1.72989i
$731$	20.4285	+	25.6165i	0.755575	+	0.947461i
$732$	1.66448	−	7.29255i	0.0615209	−	0.269541i
$733$	−0.646221	+	1.34189i	−0.0238687	+	0.0495639i	−0.912562	−	0.408938i	$-0.865899\pi$
$733$	−0.646221	+	1.34189i	−0.0238687	+	0.0495639i	0.888694	+	0.458502i	$0.151614\pi$
$734$	30.0171	+	14.4555i	1.10795	+	0.533562i
$735$	−7.73056	+	1.76445i	−0.285146	+	0.0650827i
$736$	4.90386	+	10.1830i	0.180759	+	0.375349i
$737$		−	18.6634i		−	0.687476i
$738$	43.9072	−	21.1446i	1.61625	−	0.778343i
$739$	28.7125	−	22.8974i	1.05620	−	0.842295i	0.0683478	−	0.997662i	$-0.478227\pi$
$739$	28.7125	−	22.8974i	1.05620	−	0.842295i	0.987857	+	0.155366i	$0.0496558\pi$
$740$	−29.7287	+	23.7078i	−1.09285	+	0.871517i
$741$	0.248856	−	0.119843i	0.00914195	−	0.00440253i
$742$		−	1.08635i		−	0.0398810i
$743$	−13.5266	−	28.0883i	−0.496244	−	1.03046i	−0.987231	−	0.159294i	$-0.949078\pi$
$743$	−13.5266	−	28.0883i	−0.496244	−	1.03046i	0.490987	−	0.871167i	$-0.336636\pi$
$744$	15.9197	−	3.63357i	0.583645	−	0.133213i
$745$	−12.6300	−	6.08228i	−0.462727	−	0.222837i
$746$	0.0221028	−	0.0458969i	0.000809241	−	0.00168041i
$747$	−10.6099	+	46.4850i	−0.388196	+	1.70080i
$748$	44.3110	+	55.5642i	1.62017	+	2.03163i
$749$	−0.228043	+	0.285957i	−0.00833253	+	0.0104487i
$750$	2.19368	+	9.61112i	0.0801017	+	0.350949i
$751$	44.1642	+	10.0802i	1.61157	+	0.367831i	0.931049	−	0.364894i	$-0.118895\pi$
$751$	44.1642	+	10.0802i	1.61157	+	0.367831i	0.680525	+	0.732725i	$0.261752\pi$
$752$	76.4620	+	60.9764i	2.78828	+	2.22358i
$753$	−3.36752			−0.122719
$754$		0			0
$755$	46.0393			1.67554
$756$	0.715231	+	0.570378i	0.0260127	+	0.0207444i
$757$	−18.4128	−	4.20260i	−0.669225	−	0.152746i	−0.125608	−	0.992080i	$-0.540088\pi$
$757$	−18.4128	−	4.20260i	−0.669225	−	0.152746i	−0.543617	+	0.839334i	$0.682945\pi$
$758$	3.03199	+	13.2840i	0.110127	+	0.482498i
$759$	1.21883	−	1.52837i	0.0442409	−	0.0554763i
$760$	8.28453	+	10.3885i	0.300511	+	0.376829i
$761$	−3.87786	+	16.9900i	−0.140572	+	0.615888i	0.854730	+	0.519073i	$0.173723\pi$
$761$	−3.87786	+	16.9900i	−0.140572	+	0.615888i	−0.995302	+	0.0968150i	$0.969134\pi$
$762$	−2.89594	+	6.01348i	−0.104909	+	0.217846i
$763$	0.293387	+	0.141288i	0.0106213	+	0.00511497i
$764$	−95.2860	+	21.7484i	−3.44733	+	0.786830i
$765$	12.3857	+	25.7191i	0.447805	+	0.929877i
$766$		−	0.715264i		−	0.0258435i
$767$	7.87308	−	3.79147i	0.284280	−	0.136902i
$768$	−6.48587	+	5.17231i	−0.234039	+	0.186640i
$769$	21.3417	−	17.0194i	0.769602	−	0.613737i	−0.157943	−	0.987448i	$-0.550486\pi$
$769$	21.3417	−	17.0194i	0.769602	−	0.613737i	0.927545	+	0.373711i	$0.121915\pi$
$770$	1.71753	−	0.827118i	0.0618954	−	0.0298073i
$771$		−	4.99650i		−	0.179945i
$772$	−6.49071	−	13.4781i	−0.233606	−	0.485087i
$773$	−5.74991	+	1.31238i	−0.206810	+	0.0472030i	−0.324671	−	0.945827i	$-0.605253\pi$
$773$	−5.74991	+	1.31238i	−0.206810	+	0.0472030i	0.117861	+	0.993030i	$0.462396\pi$
$774$	54.7169	+	26.3503i	1.96676	+	0.947140i
$775$	3.70674	−	7.69712i	0.133150	−	0.276489i
$776$	18.3320	−	80.3176i	0.658079	−	2.88323i
$777$	0.0635414	+	0.0796783i	0.00227953	+	0.00285844i
$778$	12.2295	−	15.3353i	0.438448	−	0.549796i
$779$	−1.05935	−	4.64134i	−0.0379553	−	0.166293i
$780$	−4.64729	−	1.06071i	−0.166400	−	0.0379797i
$781$	−14.4949	−	11.5593i	−0.518668	−	0.413624i
$782$	12.0784			0.431923
$783$		0			0
$784$	−64.5804			−2.30644
$785$	19.0924	+	15.2257i	0.681437	+	0.543428i
$786$	7.38414	+	1.68538i	0.263383	+	0.0601156i
$787$	−9.74589	−	42.6995i	−0.347404	−	1.52207i	−0.783051	−	0.621957i	$-0.786338\pi$
$787$	−9.74589	−	42.6995i	−0.347404	−	1.52207i	0.435648	−	0.900117i	$-0.356519\pi$
$788$	−8.45225	+	10.5988i	−0.301099	+	0.377566i
$789$	−4.58724	−	5.75222i	−0.163310	−	0.204784i
$790$	19.7093	−	86.3522i	0.701226	−	3.07227i
$791$	−0.147444	+	0.306171i	−0.00524252	+	0.0108862i
$792$	68.9501	+	33.2046i	2.45003	+	1.17987i
$793$	−3.06401	+	0.699340i	−0.108806	+	0.0248343i
$794$	18.8958	+	39.2375i	0.670586	+	1.39249i
$795$			6.29881i			0.223396i
$796$	−82.2122	+	39.5913i	−2.91394	+	1.40328i
$797$	28.6687	−	22.8625i	1.01550	−	0.809832i	0.0336361	−	0.999434i	$-0.489291\pi$
$797$	28.6687	−	22.8625i	1.01550	−	0.809832i	0.981861	+	0.189602i	$0.0607199\pi$
$798$	0.0479268	−	0.0382203i	0.00169659	−	0.00135298i
$799$	37.6102	−	18.1121i	1.33055	−	0.640760i
$800$		−	15.9180i		−	0.562787i
$801$	−8.27754	−	17.1885i	−0.292473	−	0.607326i
$802$	20.4434	−	4.66607i	0.721880	−	0.164765i
$803$	30.3045	+	14.5939i	1.06942	+	0.515007i
$804$	−4.49392	+	9.33172i	−0.158488	+	0.329104i
$805$	0.0508036	−	0.222585i	0.00179059	−	0.00784509i
$806$	−7.36316	−	9.23311i	−0.259356	−	0.325223i
$807$	6.00814	−	7.53398i	0.211497	−	0.265208i
$808$	15.1546	+	66.3968i	0.533138	+	2.33583i
$809$	18.3019	+	4.17728i	0.643459	+	0.146865i	0.531785	−	0.846879i	$-0.321521\pi$
$809$	18.3019	+	4.17728i	0.643459	+	0.146865i	0.111674	+	0.993745i	$0.464379\pi$
$810$	38.3277	+	30.5653i	1.34670	+	1.07396i
$811$	33.9249			1.19127			0.595633	−	0.803257i	$-0.296901\pi$
$811$	33.9249			1.19127			0.595633	+	0.803257i	$0.296901\pi$
$812$		0			0
$813$	2.87517			0.100837
$814$	23.7358	+	18.9287i	0.831941	+	0.663451i
$815$	−26.3089	−	6.00483i	−0.921561	−	0.210340i
$816$	−3.55745	−	15.5862i	−0.124536	−	0.545627i
$817$	3.69901	−	4.63841i	0.129412	−	0.162277i
$818$	−15.4205	−	19.3367i	−0.539165	−	0.676092i
$819$	0.0413432	−	0.181136i	0.00144465	−	0.00632941i
$820$	−35.6479	+	74.0235i	−1.24488	+	2.58501i
$821$	−11.2785	−	5.43142i	−0.393621	−	0.189558i	0.226595	−	0.973989i	$-0.427241\pi$
$821$	−11.2785	−	5.43142i	−0.393621	−	0.189558i	−0.620216	+	0.784431i	$0.712955\pi$
$822$	−1.73758	+	0.396592i	−0.0606051	+	0.0138327i
$823$	−12.0105	−	24.9400i	−0.418659	−	0.869355i	−0.998507	−	0.0546298i	$-0.982602\pi$
$823$	−12.0105	−	24.9400i	−0.418659	−	0.869355i	0.579847	−	0.814725i	$-0.303112\pi$
$824$		−	66.2636i		−	2.30840i
$825$	−2.48056	+	1.19458i	−0.0863620	+	0.0415898i
$826$	1.51626	−	1.20918i	0.0527576	−	0.0420727i
$827$	23.1028	−	18.4239i	0.803364	−	0.640662i	−0.133227	−	0.991086i	$-0.542534\pi$
$827$	23.1028	−	18.4239i	0.803364	−	0.640662i	0.936591	+	0.350424i	$0.113962\pi$
$828$	14.2143	−	6.84525i	0.493981	−	0.237889i
$829$		−	1.28760i		−	0.0447203i	−0.999750	−	0.0223601i	$-0.992882\pi$
$829$		−	1.28760i		−	0.0447203i	0.999750	−	0.0223601i	$-0.00711805\pi$
$830$	−49.4933	−	102.774i	−1.71794	−	3.56733i
$831$	−9.22080	+	2.10459i	−0.319866	+	0.0730073i
$832$	−5.16739	−	2.48848i	−0.179147	−	0.0862727i
$833$	−11.9602	+	24.8355i	−0.414395	+	0.860500i
$834$	2.70743	−	11.8620i	0.0937506	−	0.410748i
$835$	0.274209	+	0.343848i	0.00948941	+	0.0118993i
$836$	8.02344	−	10.0611i	0.277497	−	0.347970i
$837$	−2.92416	−	12.8116i	−0.101074	−	0.442833i
$838$	−58.9847	−	13.4629i	−2.03759	−	0.465067i
$839$	12.7839	+	10.1948i	0.441348	+	0.351963i	0.818813	−	0.574061i	$-0.194633\pi$
$839$	12.7839	+	10.1948i	0.441348	+	0.351963i	−0.377465	+	0.926024i	$0.623204\pi$
$840$	−0.614600			−0.0212057
$841$		0			0
$842$	−45.4209			−1.56531
$843$	2.98737	+	2.38235i	0.102891	+	0.0820525i
$844$	−83.2594	−	19.0034i	−2.86591	−	0.654124i
$845$	−7.01891	−	30.7519i	−0.241458	−	1.05790i
$846$	48.2424	−	60.4941i	1.65861	−	2.07983i
$847$	−0.153458	−	0.192430i	−0.00527288	−	0.00661198i
$848$	−11.4154	+	50.0142i	−0.392007	+	1.71750i
$849$	4.19152	−	8.70378i	0.143853	−	0.298713i
$850$	−15.3265	−	7.38087i	−0.525696	−	0.253162i
$851$	3.54481	−	0.809080i	0.121515	−	0.0277349i
$852$	4.46412	+	9.26984i	0.152938	+	0.317579i
$853$		−	51.4321i		−	1.76100i	−0.474045	−	0.880501i	$-0.657207\pi$
$853$		−	51.4321i		−	1.76100i	0.474045	−	0.880501i	$-0.342793\pi$
$854$	−0.628426	+	0.302634i	−0.0215043	+	0.0103559i
$855$	4.04118	−	3.22274i	0.138206	−	0.110215i
$856$	27.4640	−	21.9018i	0.938701	−	0.748589i
$857$	17.5024	−	8.42873i	0.597872	−	0.287920i	−0.110369	−	0.993891i	$-0.535203\pi$
$857$	17.5024	−	8.42873i	0.597872	−	0.287920i	0.708241	+	0.705971i	$0.249489\pi$
$858$			3.80589i			0.129931i
$859$	10.3793	+	21.5528i	0.354137	+	0.735372i	0.999596	−	0.0284225i	$-0.00904837\pi$
$859$	10.3793	+	21.5528i	0.354137	+	0.735372i	−0.645459	+	0.763795i	$0.723334\pi$
$860$	−99.8202	+	22.7833i	−3.40384	+	0.776904i
$861$	0.198397	+	0.0955428i	0.00676134	+	0.00325609i
$862$	37.0194	−	76.8715i	1.26088	−	2.61825i
$863$	−6.32763	+	27.7232i	−0.215395	+	0.943708i	0.745437	+	0.666576i	$0.232241\pi$
$863$	−6.32763	+	27.7232i	−0.215395	+	0.943708i	−0.960832	+	0.277132i	$0.910616\pi$
$864$	−15.2662	−	19.1432i	−0.519367	−	0.651265i
$865$	−19.4180	+	24.3494i	−0.660232	+	0.827904i
$866$	−2.90757	−	12.7389i	−0.0988032	−	0.432885i
$867$	0.628714	+	0.143500i	0.0213523	+	0.00487351i
$868$	−1.44403	−	1.15158i	−0.0490137	−	0.0390871i
$869$	−49.8347			−1.69053
$870$		0			0
$871$	4.35173			0.147453
$872$	−24.4516	−	19.4995i	−0.828036	−	0.660337i
$873$	−31.2441	−	7.13126i	−1.05745	−	0.241356i
$874$	−0.486664	−	2.13222i	−0.0164617	−	0.0721232i
$875$	0.403897	−	0.506471i	0.0136542	−	0.0171218i
$876$	−11.6382	−	14.5939i	−0.393220	−	0.493082i
$877$	0.825788	−	3.61802i	0.0278849	−	0.122172i	−0.959070	−	0.283170i	$-0.908614\pi$
$877$	0.825788	−	3.61802i	0.0278849	−	0.122172i	0.986955	+	0.160998i	$0.0514712\pi$
$878$	−24.1291	+	50.1045i	−0.814316	+	1.69094i
$879$	0.881156	+	0.424342i	0.0297206	+	0.0143127i
$880$	−87.7646	+	20.0317i	−2.95854	+	0.675268i
$881$	−5.17448	−	10.7449i	−0.174333	−	0.362006i	0.795434	−	0.606041i	$-0.207243\pi$
$881$	−5.17448	−	10.7449i	−0.174333	−	0.362006i	−0.969766	+	0.244035i	$0.921529\pi$
$882$			51.0938i			1.72042i
$883$	5.31499	−	2.55957i	0.178864	−	0.0861363i	−0.342309	−	0.939587i	$-0.611209\pi$
$883$	5.31499	−	2.55957i	0.178864	−	0.0861363i	0.521173	+	0.853451i	$0.325495\pi$
$884$	−12.9559	+	10.3319i	−0.435753	+	0.347501i
$885$	−8.79154	+	7.01102i	−0.295524	+	0.235673i
$886$	93.3882	−	44.9734i	3.13744	−	1.51091i
$887$			24.5541i			0.824445i	0.911083	+	0.412223i	$0.135247\pi$
$887$			24.5541i			0.824445i	−0.911083	+	0.412223i	$0.864753\pi$
$888$	−4.24682	−	8.81860i	−0.142514	−	0.295933i
$889$	0.427591	−	0.0975948i	0.0143409	−	0.00327322i
$890$	41.1216	+	19.8031i	1.37840	+	0.663802i
$891$	11.9675	−	24.8508i	0.400927	−	0.832534i
$892$	18.8306	−	82.5022i	0.630495	−	2.76238i
$893$	−4.71275	−	5.90960i	−0.157706	−	0.197757i
$894$	3.87268	−	4.85618i	0.129522	−	0.162415i
$895$	0.961684	+	4.21341i	0.0321455	+	0.140839i
$896$	0.164994	+	0.0376587i	0.00551205	+	0.00125809i
$897$	0.356368	+	0.284194i	0.0118988	+	0.00948897i
$898$	−25.8334			−0.862072
$899$		0			0
$900$	−22.2198			−0.740661
$901$	17.1197	+	13.6525i	0.570341	+	0.454832i
$902$	63.9531	+	14.5969i	2.12940	+	0.486023i
$903$	0.0610634	+	0.267536i	0.00203206	+	0.00890305i
$904$	20.3492	−	25.5171i	0.676804	−	0.848685i
$905$	24.7165	+	30.9935i	0.821603	+	1.03026i
$906$	−4.53930	+	19.8880i	−0.150808	+	0.660734i
$907$	−17.4491	+	36.2334i	−0.579387	+	1.20311i	0.381035	+	0.924561i	$0.375568\pi$
$907$	−17.4491	+	36.2334i	−0.579387	+	1.20311i	−0.960422	+	0.278549i	$0.910147\pi$
$908$	95.5111	+	45.9957i	3.16965	+	1.52642i
$909$	25.8288	−	5.89525i	0.856687	−	0.195533i
$910$	0.192858	+	0.400474i	0.00639319	+	0.0132756i
$911$		−	13.5344i		−	0.448415i	−0.974541	−	0.224208i	$-0.928021\pi$
$911$		−	13.5344i		−	0.448415i	0.974541	−	0.224208i	$-0.0719794\pi$
$912$	−2.60812	+	1.25600i	−0.0863634	+	0.0415904i
$913$	−50.1784	+	40.0160i	−1.66066	+	1.32433i
$914$	−29.7559	+	23.7295i	−0.984238	+	0.784903i
$915$	3.64371	−	1.75472i	0.120457	−	0.0580093i
$916$		−	47.5748i		−	1.57191i
$917$	−0.215943	−	0.448411i	−0.00713108	−	0.0148078i
$918$	−25.5105	+	5.82261i	−0.841972	+	0.192175i
$919$	−49.6547	−	23.9124i	−1.63796	−	0.788798i	−0.999822	−	0.0188726i	$-0.993992\pi$
$919$	−49.6547	−	23.9124i	−1.63796	−	0.788798i	−0.638134	−	0.769925i	$-0.720293\pi$
$920$	−9.51393	+	19.7559i	−0.313665	+	0.651332i
$921$	1.35655	−	5.94342i	0.0446997	−	0.195842i
$922$	30.5896	+	38.3581i	1.00741	+	1.26326i
$923$	2.69527	−	3.37976i	0.0887159	−	0.111246i
$924$	0.132451	+	0.580307i	0.00435733	+	0.0190907i
$925$	−4.99250	−	1.13951i	−0.164152	−	0.0374667i
$926$	−72.2282	−	57.6000i	−2.37356	−	1.89285i
$927$	−25.7770			−0.846627
$928$		0			0
$929$	4.05714			0.133111			0.0665553	−	0.997783i	$-0.478799\pi$
$929$	4.05714			0.133111			0.0665553	+	0.997783i	$0.478799\pi$
$930$	11.8813	+	9.47504i	0.389604	+	0.310699i
$931$	4.86615	+	1.11067i	0.159482	+	0.0364006i
$932$	−21.3217	−	93.4165i	−0.698415	−	3.05996i
$933$	−0.386826	+	0.485064i	−0.0126641	+	0.0158803i
$934$	−9.84568	−	12.3461i	−0.322161	−	0.403977i
$935$	−8.55028	+	37.4612i	−0.279624	+	1.22511i
$936$	−7.74228	+	16.0770i	−0.253064	+	0.525494i
$937$	−27.1988	−	13.0983i	−0.888547	−	0.427902i	−0.0668080	−	0.997766i	$-0.521282\pi$
$937$	−27.1988	−	13.0983i	−0.888547	−	0.427902i	−0.821739	+	0.569864i	$0.806996\pi$
$938$	0.941589	−	0.214912i	0.0307440	−	0.00701711i
$939$	−5.48014	−	11.3796i	−0.178837	−	0.371360i
$940$			130.447i			4.25471i
$941$	−7.55014	+	3.63595i	−0.246127	+	0.118529i	−0.552881	−	0.833260i	$-0.686472\pi$
$941$	−7.55014	+	3.63595i	−0.246127	+	0.118529i	0.306753	+	0.951789i	$0.400757\pi$
$942$	−8.45960	+	6.74631i	−0.275629	+	0.219807i
$943$	6.14231	−	4.89833i	0.200021	−	0.159511i
$944$	−82.5133	+	39.7363i	−2.68558	+	1.29331i
$945$			0.494607i			0.0160896i
$946$	35.4689	+	73.6520i	1.15319	+	2.39463i
$947$	1.78009	−	0.406294i	0.0578452	−	0.0132028i	−0.193500	−	0.981100i	$-0.561984\pi$
$947$	1.78009	−	0.406294i	0.0578452	−	0.0132028i	0.251346	+	0.967897i	$0.419127\pi$
$948$	24.9174	+	11.9996i	0.809278	+	0.389728i
$949$	−3.40284	+	7.06608i	−0.110461	+	0.229375i
$950$	−0.685416	+	3.00300i	−0.0222378	+	0.0974303i
$951$	6.11404	+	7.66676i	0.198261	+	0.248612i
$952$	−1.33213	+	1.67044i	−0.0431747	+	0.0541393i
$953$	−10.4339	−	45.7137i	−0.337986	−	1.48081i	−0.803251	−	0.595641i	$-0.796898\pi$
$953$	−10.4339	−	45.7137i	−0.337986	−	1.48081i	0.465265	−	0.885171i	$-0.345959\pi$
$954$	39.5695	+	9.03149i	1.28111	+	0.292405i
$955$	−41.3140	−	32.9468i	−1.33689	−	1.06613i
$956$	5.63585			0.182276
$957$		0			0
$958$	9.15823			0.295889
$959$	0.0915641	+	0.0730200i	0.00295676	+	0.00235794i
$960$	7.19533	+	1.64229i	0.232228	+	0.0530046i
$961$	−0.994340	−	4.35649i	−0.0320755	−	0.140532i
$962$	−4.41359	+	5.53446i	−0.142300	+	0.178438i
$963$	−8.51996	−	10.6837i	−0.274552	−	0.344277i
$964$	−12.5649	+	55.0506i	−0.404690	+	1.77306i
$965$	3.50929	−	7.28712i	0.112968	−	0.234581i
$966$	0.0911428	+	0.0438921i	0.00293247	+	0.00141220i
$967$	−19.6526	+	4.48559i	−0.631986	+	0.144247i	−0.526501	−	0.850174i	$-0.676497\pi$
$967$	−19.6526	+	4.48559i	−0.631986	+	0.144247i	−0.105485	+	0.994421i	$0.533639\pi$
$968$	10.2564	+	21.2977i	0.329654	+	0.684534i
$969$			1.23561i			0.0396934i
$970$	69.0776	−	33.2660i	2.21795	−	1.06811i
$971$	13.2276	−	10.5487i	0.424495	−	0.338523i	−0.387828	−	0.921732i	$-0.626774\pi$
$971$	13.2276	−	10.5487i	0.424495	−	0.338523i	0.812322	+	0.583209i	$0.198203\pi$
$972$	−40.5269	+	32.3191i	−1.29990	+	1.03664i
$973$	−0.720337	+	0.346896i	−0.0230929	+	0.0111210i
$974$		−	20.5006i		−	0.656881i
$975$	−0.278538	−	0.578390i	−0.00892035	−	0.0185233i
$976$	32.1122	−	7.32939i	1.02789	−	0.234608i
$977$	0.933678	+	0.449636i	0.0298710	+	0.0143851i	0.448760	−	0.893653i	$-0.351866\pi$
$977$	0.933678	+	0.449636i	0.0298710	+	0.0143851i	−0.418889	+	0.908038i	$0.637580\pi$
$978$	5.18791	−	10.7728i	0.165891	−	0.344477i
$979$	5.71429	−	25.0359i	0.182629	−	0.800152i
$980$	−53.7071	−	67.3466i	−1.71561	−	2.15131i
$981$	−7.58544	+	9.51184i	−0.242184	+	0.303690i
$982$	−12.6419	−	55.3876i	−0.403418	−	1.76749i
$983$	−15.8237	−	3.61165i	−0.504697	−	0.115194i	−0.0374107	−	0.999300i	$-0.511911\pi$
$983$	−15.8237	−	3.61165i	−0.504697	−	0.115194i	−0.467286	+	0.884106i	$0.654768\pi$
$984$	−16.5349	−	13.1861i	−0.527112	−	0.420358i
$985$	−7.32943			−0.233535
$986$		0			0
$987$	0.349622			0.0111286
$988$	2.34593	+	1.87082i	0.0746340	+	0.0595186i
$989$	9.54501	+	2.17859i	0.303514	+	0.0692750i
$990$	15.8484	+	69.4363i	0.503695	+	2.20683i
$991$	−23.1578	+	29.0389i	−0.735631	+	0.922452i	−0.999109	−	0.0422134i	$-0.986559\pi$
$991$	−23.1578	+	29.0389i	−0.735631	+	0.922452i	0.263478	+	0.964666i	$0.415130\pi$
$992$	30.8221	+	38.6496i	0.978601	+	1.22713i
$993$	0.914027	−	4.00462i	0.0290058	−	0.127083i
$994$	0.416268	−	0.864389i	0.0132032	−	0.0274168i
$995$	−44.4492	−	21.4056i	−1.40913	−	0.678603i
$996$	34.7245	−	7.92565i	1.10029	−	0.251134i
$997$	−15.6793	−	32.5585i	−0.496569	−	1.03114i	−0.987158	−	0.159746i	$-0.948933\pi$
$997$	−15.6793	−	32.5585i	−0.496569	−	1.03114i	0.490589	−	0.871391i	$-0.336782\pi$
$998$		−	77.0621i		−	2.43936i
$999$	−7.09688	+	3.41768i	−0.224535	+	0.108131i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	841.2.e.a.267.1		12
29.2	odd	28		841.2.d.l.778.1		24
29.3	odd	28		841.2.d.k.605.4		24
29.4	even	14		29.2.e.a.9.1	✓	12
29.5	even	14	inner	841.2.e.a.63.1		12
29.6	even	14		841.2.e.i.651.2		12
29.7	even	7		841.2.e.f.236.2		12
29.8	odd	28		841.2.d.k.645.1		24
29.9	even	14		841.2.e.f.196.2		12
29.10	odd	28		841.2.d.m.571.1		24
29.11	odd	28		841.2.a.k.1.1		12
29.12	odd	4		841.2.d.l.574.4		24
29.13	even	14		841.2.b.e.840.12		12
29.14	odd	28		841.2.d.m.190.4		24
29.15	odd	28		841.2.d.m.190.1		24
29.16	even	7		841.2.b.e.840.1		12
29.17	odd	4		841.2.d.l.574.1		24
29.18	odd	28		841.2.a.k.1.12		12
29.19	odd	28		841.2.d.m.571.4		24
29.20	even	7		841.2.e.e.196.1		12
29.21	odd	28		841.2.d.k.645.4		24
29.22	even	14		841.2.e.e.236.1		12
29.23	even	7		29.2.e.a.13.1	yes	12
29.24	even	7		841.2.e.h.63.2		12
29.25	even	7		841.2.e.i.270.2		12
29.26	odd	28		841.2.d.k.605.1		24
29.27	odd	28		841.2.d.l.778.4		24
29.28	even	2		841.2.e.h.267.2		12
87.11	even	28		7569.2.a.bp.1.12		12
87.23	odd	14		261.2.o.a.100.2		12
87.47	even	28		7569.2.a.bp.1.1		12
87.62	odd	14		261.2.o.a.154.2		12
116.23	odd	14		464.2.y.d.129.1		12
116.91	odd	14		464.2.y.d.241.1		12
145.4	even	14		725.2.q.a.676.2		12
145.23	odd	28		725.2.p.a.274.4		24
145.33	odd	28		725.2.p.a.299.1		24
145.52	odd	28		725.2.p.a.274.1		24
145.62	odd	28		725.2.p.a.299.4		24
145.139	even	14		725.2.q.a.651.2		12

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
29.2.e.a.9.1	✓	12	29.4	even	14
29.2.e.a.13.1	yes	12	29.23	even	7
261.2.o.a.100.2		12	87.23	odd	14
261.2.o.a.154.2		12	87.62	odd	14
464.2.y.d.129.1		12	116.23	odd	14
464.2.y.d.241.1		12	116.91	odd	14
725.2.p.a.274.1		24	145.52	odd	28
725.2.p.a.274.4		24	145.23	odd	28
725.2.p.a.299.1		24	145.33	odd	28
725.2.p.a.299.4		24	145.62	odd	28
725.2.q.a.651.2		12	145.139	even	14
725.2.q.a.676.2		12	145.4	even	14
841.2.a.k.1.1		12	29.11	odd	28
841.2.a.k.1.12		12	29.18	odd	28
841.2.b.e.840.1		12	29.16	even	7
841.2.b.e.840.12		12	29.13	even	14
841.2.d.k.605.1		24	29.26	odd	28
841.2.d.k.605.4		24	29.3	odd	28
841.2.d.k.645.1		24	29.8	odd	28
841.2.d.k.645.4		24	29.21	odd	28
841.2.d.l.574.1		24	29.17	odd	4
841.2.d.l.574.4		24	29.12	odd	4
841.2.d.l.778.1		24	29.2	odd	28
841.2.d.l.778.4		24	29.27	odd	28
841.2.d.m.190.1		24	29.15	odd	28
841.2.d.m.190.4		24	29.14	odd	28
841.2.d.m.571.1		24	29.10	odd	28
841.2.d.m.571.4		24	29.19	odd	28
841.2.e.a.63.1		12	29.5	even	14	inner
841.2.e.a.267.1		12	1.1	even	1	trivial
841.2.e.e.196.1		12	29.20	even	7
841.2.e.e.236.1		12	29.22	even	14
841.2.e.f.196.2		12	29.9	even	14
841.2.e.f.236.2		12	29.7	even	7
841.2.e.h.63.2		12	29.24	even	7
841.2.e.h.267.2		12	29.28	even	2
841.2.e.i.270.2		12	29.25	even	7
841.2.e.i.651.2		12	29.6	even	14
7569.2.a.bp.1.1		12	87.47	even	28
7569.2.a.bp.1.12		12	87.11	even	28

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.e (of order \(14\), degree \(6\), not minimal)

\(f(q)\)	\(=\)	\(q+(-2.03467 - 1.62259i) q^{2} +(0.428324 + 0.0977621i) q^{3} +(1.06202 + 4.65303i) q^{4} +(-1.60887 + 2.01746i) q^{5} +(-0.712869 - 0.893909i) q^{6} +(-0.0167182 + 0.0732474i) q^{7} +(3.13080 - 6.50118i) q^{8} +(-2.52900 - 1.21790i) q^{9} +O(q^{10})\)	\(q+(-2.03467 - 1.62259i) q^{2} +(0.428324 + 0.0977621i) q^{3} +(1.06202 + 4.65303i) q^{4} +(-1.60887 + 2.01746i) q^{5} +(-0.712869 - 0.893909i) q^{6} +(-0.0167182 + 0.0732474i) q^{7} +(3.13080 - 6.50118i) q^{8} +(-2.52900 - 1.21790i) q^{9} +(6.54703 - 1.49432i) q^{10} +(-1.63937 - 3.40418i) q^{11} +2.09683i q^{12} +(0.793749 - 0.382250i) q^{13} +(0.152867 - 0.121907i) q^{14} +(-0.886347 + 0.706838i) q^{15} +(-8.31884 + 4.00614i) q^{16} +3.94108i q^{17} +(3.16952 + 6.58158i) q^{18} +(0.695725 - 0.158795i) q^{19} +(-11.0959 - 5.34353i) q^{20} +(-0.0143216 + 0.0297392i) q^{21} +(-2.18804 + 9.58641i) q^{22} +(0.734247 + 0.920717i) q^{23} +(1.97657 - 2.47854i) q^{24} +(-0.369070 - 1.61700i) q^{25} +(-2.23525 - 0.510182i) q^{26} +(-1.99463 - 1.59067i) q^{27} -0.358578 q^{28} +2.95033 q^{30} +(4.02711 + 3.21152i) q^{31} +(9.35673 + 2.13561i) q^{32} +(-0.369380 - 1.61836i) q^{33} +(6.39478 - 8.01881i) q^{34} +(-0.120876 - 0.151574i) q^{35} +(2.98108 - 13.0610i) q^{36} +(1.33962 - 2.78175i) q^{37} +(-1.67323 - 0.805785i) q^{38} +(0.377351 - 0.0861279i) q^{39} +(8.07880 + 16.7758i) q^{40} -6.67122i q^{41} +(0.0773944 - 0.0372712i) q^{42} +(6.49987 - 5.18347i) q^{43} +(14.0987 - 11.2434i) q^{44} +(6.52590 - 3.14271i) q^{45} -3.06474i q^{46} +(-4.59571 - 9.54310i) q^{47} +(-3.95480 + 0.902658i) q^{48} +(6.30170 + 3.03474i) q^{49} +(-1.87280 + 3.88891i) q^{50} +(-0.385289 + 1.68806i) q^{51} +(2.62160 + 3.28738i) q^{52} +(3.46416 - 4.34391i) q^{53} +(1.47741 + 6.47296i) q^{54} +(9.50531 + 2.16953i) q^{55} +(0.423853 + 0.338012i) q^{56} +0.313519 q^{57} +9.91885 q^{59} +(-4.23026 - 3.37352i) q^{60} +(-3.47790 - 0.793807i) q^{61} +(-2.98286 - 13.0687i) q^{62} +(0.131489 - 0.164882i) q^{63} +(-4.05898 - 5.08980i) q^{64} +(-0.505866 + 2.21634i) q^{65} +(-1.87437 + 3.89218i) q^{66} +(4.45039 + 2.14320i) q^{67} +(-18.3380 + 4.18553i) q^{68} +(0.224484 + 0.466146i) q^{69} +0.504535i q^{70} +(4.42088 - 2.12899i) q^{71} +(-15.8356 + 12.6285i) q^{72} +(-6.95998 + 5.55040i) q^{73} +(-7.23933 + 3.48628i) q^{74} -0.728681i q^{75} +(1.47775 + 3.06859i) q^{76} +(0.276755 - 0.0631675i) q^{77} +(-0.907535 - 0.437046i) q^{78} +(5.72272 - 11.8834i) q^{79} +(5.30170 - 23.2282i) q^{80} +(4.55153 + 5.70744i) q^{81} +(-10.8247 + 13.5737i) q^{82} +(-3.77983 - 16.5605i) q^{83} +(-0.153587 - 0.0350553i) q^{84} +(-7.95097 - 6.34068i) q^{85} -21.6357 q^{86} -27.2637 q^{88} +(5.31376 + 4.23758i) q^{89} +(-18.3774 - 4.19452i) q^{90} +(0.0147287 + 0.0645306i) q^{91} +(-3.50434 + 4.39430i) q^{92} +(1.41094 + 1.76927i) q^{93} +(-6.13382 + 26.8740i) q^{94} +(-0.798968 + 1.65907i) q^{95} +(3.79893 + 1.82947i) q^{96} +(11.1308 - 2.54054i) q^{97} +(-7.89772 - 16.3998i) q^{98} +10.6058i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q - 7 q^{2} - q^{4} + 6 q^{5} + 11 q^{6} - 4 q^{7} + 7 q^{8} - 10 q^{9}+O(q^{10}) \) 12 * q - 7 * q^2 - q^4 + 6 * q^5 + 11 * q^6 - 4 * q^7 + 7 * q^8 - 10 * q^9	\( 12 q - 7 q^{2} - q^{4} + 6 q^{5} + 11 q^{6} - 4 q^{7} + 7 q^{8} - 10 q^{9} + 14 q^{10} - 14 q^{11} + 2 q^{13} + 7 q^{14} + 14 q^{15} - 33 q^{16} - 14 q^{19} - 32 q^{20} + 42 q^{21} + 10 q^{22} + 2 q^{23} - 11 q^{24} + 6 q^{25} - 14 q^{26} + 21 q^{27} + 12 q^{28} + 2 q^{30} + 21 q^{32} + 18 q^{33} + 36 q^{34} + 12 q^{35} + 16 q^{36} + 14 q^{37} - 21 q^{38} + 14 q^{39} - 7 q^{40} - 27 q^{42} + 14 q^{43} + 49 q^{44} - 5 q^{45} - 35 q^{48} + 6 q^{49} + 7 q^{50} - 22 q^{51} - 6 q^{52} - 10 q^{53} + 11 q^{54} + 35 q^{55} - 21 q^{56} - 14 q^{57} + 44 q^{59} - 28 q^{60} + 28 q^{61} - 33 q^{62} - 6 q^{63} - 19 q^{64} - 27 q^{65} - 63 q^{66} + 26 q^{67} - 56 q^{68} + 7 q^{69} + 28 q^{71} - 63 q^{72} - 28 q^{73} - 7 q^{74} + 35 q^{76} + 28 q^{77} - 11 q^{78} - 14 q^{79} - 6 q^{80} + 22 q^{81} - 13 q^{82} - 16 q^{83} - 7 q^{84} - 21 q^{85} - 44 q^{86} - 66 q^{88} + 70 q^{89} - 42 q^{90} + 4 q^{91} + q^{92} - 2 q^{93} - 18 q^{94} + 7 q^{95} - 5 q^{96} + 56 q^{97} - 42 q^{98}+O(q^{100}) \) 12 * q - 7 * q^2 - q^4 + 6 * q^5 + 11 * q^6 - 4 * q^7 + 7 * q^8 - 10 * q^9 + 14 * q^10 - 14 * q^11 + 2 * q^13 + 7 * q^14 + 14 * q^15 - 33 * q^16 - 14 * q^19 - 32 * q^20 + 42 * q^21 + 10 * q^22 + 2 * q^23 - 11 * q^24 + 6 * q^25 - 14 * q^26 + 21 * q^27 + 12 * q^28 + 2 * q^30 + 21 * q^32 + 18 * q^33 + 36 * q^34 + 12 * q^35 + 16 * q^36 + 14 * q^37 - 21 * q^38 + 14 * q^39 - 7 * q^40 - 27 * q^42 + 14 * q^43 + 49 * q^44 - 5 * q^45 - 35 * q^48 + 6 * q^49 + 7 * q^50 - 22 * q^51 - 6 * q^52 - 10 * q^53 + 11 * q^54 + 35 * q^55 - 21 * q^56 - 14 * q^57 + 44 * q^59 - 28 * q^60 + 28 * q^61 - 33 * q^62 - 6 * q^63 - 19 * q^64 - 27 * q^65 - 63 * q^66 + 26 * q^67 - 56 * q^68 + 7 * q^69 + 28 * q^71 - 63 * q^72 - 28 * q^73 - 7 * q^74 + 35 * q^76 + 28 * q^77 - 11 * q^78 - 14 * q^79 - 6 * q^80 + 22 * q^81 - 13 * q^82 - 16 * q^83 - 7 * q^84 - 21 * q^85 - 44 * q^86 - 66 * q^88 + 70 * q^89 - 42 * q^90 + 4 * q^91 + q^92 - 2 * q^93 - 18 * q^94 + 7 * q^95 - 5 * q^96 + 56 * q^97 - 42 * q^98

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