LMFDB - Embedded newform 529.2.c.n.255.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [529,2,Mod(118,529)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(529, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([16]))

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

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

chi := DirichletCharacter("529.118");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 529 = 23^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	529.c (of order $11$, degree $10$, 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:	$4.22408626693$
Analytic rank:	$0$
Dimension:	$20$
Relative dimension:	$2$ over $\Q(\zeta_{11})$
Coefficient field:	20.0.54296067514572573056640625.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{20} - x^{19} + 2 x^{18} - 3 x^{17} + 5 x^{16} - 8 x^{15} + 13 x^{14} - 21 x^{13} + 34 x^{12} + \cdots + 1 $ x^20 - x^19 + 2x^18 - 3x^17 + 5x^16 - 8x^15 + 13x^14 - 21x^13 + 34x^12 - 55x^11 + 89x^10 + 55x^9 + 34x^8 + 21x^7 + 13x^6 + 8x^5 + 5x^4 + 3x^3 + 2*x^2 + x + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	no (minimal twist has level 23)
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			255.1
Root			$1.05959 + 1.22283i$ of defining polynomial
Character	$\chi$	$=$	529.255
Dual form			529.2.c.n.334.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.36118 - 0.874775i) q^{2} +(-0.318226 - 2.21331i) q^{3} +(0.256741 + 0.562183i) q^{4} +(-3.10498 - 0.911706i) q^{5} +(-1.50299 + 3.29108i) q^{6} +(-0.809452 + 0.934158i) q^{7} +(-0.318226 + 2.21331i) q^{8} +(-1.91899 + 0.563465i) q^{9} +O(q^{10})$	\(q+(-1.36118 - 0.874775i) q^{2} +(-0.318226 - 2.21331i) q^{3} +(0.256741 + 0.562183i) q^{4} +(-3.10498 - 0.911706i) q^{5} +(-1.50299 + 3.29108i) q^{6} +(-0.809452 + 0.934158i) q^{7} +(-0.318226 + 2.21331i) q^{8} +(-1.91899 + 0.563465i) q^{9} +(3.42890 + 3.95716i) q^{10} +(0.642661 - 0.413013i) q^{11} +(1.16258 - 0.747147i) q^{12} +(-1.96458 - 2.26725i) q^{13} +(1.91899 - 0.563465i) q^{14} +(-1.02980 + 7.16242i) q^{15} +(3.17876 - 3.66849i) q^{16} +(-2.17514 + 4.76289i) q^{17} +(3.10498 + 0.911706i) q^{18} +(0.830830 + 1.81926i) q^{19} +(-0.284630 - 1.97964i) q^{20} +(2.32517 + 1.49429i) q^{21} -1.23607 q^{22} +5.00000 q^{24} +(4.60345 + 2.95846i) q^{25} +(0.690811 + 4.80469i) q^{26} +(-0.928896 - 2.03400i) q^{27} +(-0.732987 - 0.215225i) q^{28} +(-1.24625 + 2.72890i) q^{29} +(7.66724 - 8.84847i) q^{30} +(0.954677 - 6.63992i) q^{31} +(-3.24497 + 0.952810i) q^{32} +(-1.11864 - 1.29097i) q^{33} +(7.12721 - 4.58038i) q^{34} +(3.36501 - 2.16256i) q^{35} +(-0.809452 - 0.934158i) q^{36} +(3.10498 - 0.911706i) q^{37} +(0.460540 - 3.20313i) q^{38} +(-4.39294 + 5.06972i) q^{39} +(3.00597 - 6.58216i) q^{40} +(-5.25048 - 1.54168i) q^{41} +(-1.85779 - 4.06800i) q^{42} +(0.397186 + 0.255256i) q^{44} +6.47214 q^{45} +2.23607 q^{47} +(-9.13105 - 5.86817i) q^{48} +(0.778766 + 5.41644i) q^{49} +(-3.67813 - 8.05397i) q^{50} +(11.2339 + 3.29858i) q^{51} +(0.770222 - 1.68655i) q^{52} +(-5.54807 + 6.40281i) q^{53} +(-0.514900 + 3.58121i) q^{54} +(-2.37200 + 0.696481i) q^{55} +(-1.80999 - 2.08884i) q^{56} +(3.76220 - 2.41782i) q^{57} +(4.08353 - 2.62433i) q^{58} +(1.61890 + 1.86832i) q^{59} +(-4.29098 + 1.25995i) q^{60} +(1.55753 - 10.8329i) q^{61} +(-7.10793 + 8.20298i) q^{62} +(1.02696 - 2.24873i) q^{63} +(-4.06448 - 1.19344i) q^{64} +(4.03293 + 8.83089i) q^{65} +(0.393349 + 2.73580i) q^{66} +(6.08737 + 3.91211i) q^{67} -3.23607 q^{68} -6.47214 q^{70} +(6.53144 + 4.19750i) q^{71} +(-0.636451 - 4.42662i) q^{72} +(6.42736 + 14.0739i) q^{73} +(-5.02397 - 1.47517i) q^{74} +(5.08305 - 11.1303i) q^{75} +(-0.809452 + 0.934158i) q^{76} +(-0.134384 + 0.934661i) q^{77} +(10.4144 - 3.05795i) q^{78} +(4.54753 + 5.24813i) q^{79} +(-13.2146 + 8.49250i) q^{80} +(-9.25379 + 5.94705i) q^{81} +(5.79820 + 6.69148i) q^{82} +(-12.6999 + 3.72903i) q^{83} +(-0.243103 + 1.69082i) q^{84} +(11.0961 - 12.8056i) q^{85} +(6.43647 + 1.88992i) q^{87} +(0.709614 + 1.55384i) q^{88} +(-0.217438 - 1.51231i) q^{89} +(-8.80972 - 5.66166i) q^{90} +3.70820 q^{91} -15.0000 q^{93} +(-3.04368 - 1.95606i) q^{94} +(-0.921081 - 6.40626i) q^{95} +(3.14150 + 6.87892i) q^{96} +(4.11795 + 1.20914i) q^{97} +(3.67813 - 8.05397i) q^{98} +(-1.00054 + 1.15468i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 20 q + q^{2} + q^{4} - 2 q^{5} + 5 q^{6} + 2 q^{7} - 4 q^{9}+O(q^{10}) $ 20 * q + q^2 + q^4 - 2 * q^5 + 5 * q^6 + 2 * q^7 - 4 * q^9	$ 20 q + q^{2} + q^{4} - 2 q^{5} + 5 q^{6} + 2 q^{7} - 4 q^{9} + 6 q^{10} - 6 q^{11} - 5 q^{12} - 6 q^{13} + 4 q^{14} - 10 q^{15} + 3 q^{16} + 6 q^{17} + 2 q^{18} - 4 q^{19} - 4 q^{20} - 10 q^{21} + 20 q^{22} + 100 q^{24} - 2 q^{25} + 3 q^{26} - 6 q^{28} + 6 q^{29} + 10 q^{30} - 9 q^{32} + 10 q^{33} - 8 q^{34} - 8 q^{35} + 2 q^{36} + 2 q^{37} + 2 q^{38} - 10 q^{40} - 2 q^{41} + 8 q^{44} + 40 q^{45} + 15 q^{48} + 2 q^{49} + 11 q^{50} + 10 q^{51} + 3 q^{52} - 8 q^{53} - 5 q^{54} + 4 q^{55} - 10 q^{56} - 3 q^{58} - 4 q^{59} + 4 q^{61} - 15 q^{62} + 4 q^{63} - 4 q^{64} - 6 q^{65} + 10 q^{66} - 10 q^{67} - 20 q^{68} - 40 q^{70} - 20 q^{71} - 22 q^{73} - 6 q^{74} - 20 q^{75} + 2 q^{76} + 16 q^{77} + 15 q^{78} - 4 q^{79} + 18 q^{80} + 22 q^{81} + 11 q^{82} - 22 q^{83} + 10 q^{84} + 16 q^{85} + 10 q^{88} - 12 q^{89} + 12 q^{90} - 60 q^{91} - 300 q^{93} + 5 q^{94} - 4 q^{95} + 5 q^{96} + 22 q^{97} - 11 q^{98} - 12 q^{99}+O(q^{100}) $ 20 * q + q^2 + q^4 - 2 * q^5 + 5 * q^6 + 2 * q^7 - 4 * q^9 + 6 * q^10 - 6 * q^11 - 5 * q^12 - 6 * q^13 + 4 * q^14 - 10 * q^15 + 3 * q^16 + 6 * q^17 + 2 * q^18 - 4 * q^19 - 4 * q^20 - 10 * q^21 + 20 * q^22 + 100 * q^24 - 2 * q^25 + 3 * q^26 - 6 * q^28 + 6 * q^29 + 10 * q^30 - 9 * q^32 + 10 * q^33 - 8 * q^34 - 8 * q^35 + 2 * q^36 + 2 * q^37 + 2 * q^38 - 10 * q^40 - 2 * q^41 + 8 * q^44 + 40 * q^45 + 15 * q^48 + 2 * q^49 + 11 * q^50 + 10 * q^51 + 3 * q^52 - 8 * q^53 - 5 * q^54 + 4 * q^55 - 10 * q^56 - 3 * q^58 - 4 * q^59 + 4 * q^61 - 15 * q^62 + 4 * q^63 - 4 * q^64 - 6 * q^65 + 10 * q^66 - 10 * q^67 - 20 * q^68 - 40 * q^70 - 20 * q^71 - 22 * q^73 - 6 * q^74 - 20 * q^75 + 2 * q^76 + 16 * q^77 + 15 * q^78 - 4 * q^79 + 18 * q^80 + 22 * q^81 + 11 * q^82 - 22 * q^83 + 10 * q^84 + 16 * q^85 + 10 * q^88 - 12 * q^89 + 12 * q^90 - 60 * q^91 - 300 * q^93 + 5 * q^94 - 4 * q^95 + 5 * q^96 + 22 * q^97 - 11 * q^98 - 12 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/529\mathbb{Z}\right)^\times$.

$n$	$5$
$\chi(n)$	$e\left(\frac{1}{11}\right)$

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 $

$2$	−1.36118	−	0.874775i	−0.962497	−	0.618559i	−0.0378092	−	0.999285i	$-0.512038\pi$
$2$	−1.36118	−	0.874775i	−0.962497	−	0.618559i	−0.924688	+	0.380725i	$0.875674\pi$
$3$	−0.318226	−	2.21331i	−0.183728	−	1.27785i	−0.847852	−	0.530232i	$-0.822105\pi$
$3$	−0.318226	−	2.21331i	−0.183728	−	1.27785i	0.664125	−	0.747622i	$-0.268804\pi$
$4$	0.256741	+	0.562183i	0.128370	+	0.281092i
$5$	−3.10498	−	0.911706i	−1.38859	−	0.407727i	−0.499840	−	0.866118i	$-0.666608\pi$
$5$	−3.10498	−	0.911706i	−1.38859	−	0.407727i	−0.888751	+	0.458390i	$0.848426\pi$
$6$	−1.50299	+	3.29108i	−0.613591	+	1.34358i
$7$	−0.809452	+	0.934158i	−0.305944	+	0.353078i	−0.887813	−	0.460204i	$-0.847776\pi$
$7$	−0.809452	+	0.934158i	−0.305944	+	0.353078i	0.581869	+	0.813283i	$0.302322\pi$
$8$	−0.318226	+	2.21331i	−0.112510	+	0.782523i
$9$	−1.91899	+	0.563465i	−0.639662	+	0.187822i
$10$	3.42890	+	3.95716i	1.08431	+	1.25136i
$11$	0.642661	−	0.413013i	0.193769	−	0.124528i	−0.440159	−	0.897920i	$-0.645078\pi$
$11$	0.642661	−	0.413013i	0.193769	−	0.124528i	0.633928	+	0.773392i	$0.281441\pi$
$12$	1.16258	−	0.747147i	0.335609	−	0.215683i
$13$	−1.96458	−	2.26725i	−0.544877	−	0.628822i	0.414805	−	0.909910i	$-0.363850\pi$
$13$	−1.96458	−	2.26725i	−0.544877	−	0.628822i	−0.959682	+	0.281089i	$0.909304\pi$
$14$	1.91899	−	0.563465i	0.512871	−	0.150592i
$15$	−1.02980	+	7.16242i	−0.265893	+	1.84933i
$16$	3.17876	−	3.66849i	0.794690	−	0.917121i
$17$	−2.17514	+	4.76289i	−0.527549	+	1.15517i	0.438952	+	0.898510i	$0.355350\pi$
$17$	−2.17514	+	4.76289i	−0.527549	+	1.15517i	−0.966501	+	0.256661i	$0.917378\pi$
$18$	3.10498	+	0.911706i	0.731852	+	0.214891i
$19$	0.830830	+	1.81926i	0.190605	+	0.417368i	0.980674	−	0.195651i	$-0.0626821\pi$
$19$	0.830830	+	1.81926i	0.190605	+	0.417368i	−0.790068	+	0.613019i	$0.789955\pi$
$20$	−0.284630	−	1.97964i	−0.0636451	−	0.442662i
$21$	2.32517	+	1.49429i	0.507393	+	0.326082i
$22$	−1.23607			−0.263531
$23$		0			0
$23$		0			0
$24$	5.00000			1.02062
$25$	4.60345	+	2.95846i	0.920691	+	0.591692i
$26$	0.690811	+	4.80469i	0.135479	+	0.942278i
$27$	−0.928896	−	2.03400i	−0.178766	−	0.391443i
$28$	−0.732987	−	0.215225i	−0.138522	−	0.0406736i
$29$	−1.24625	+	2.72890i	−0.231422	+	0.506743i	−0.989343	−	0.145603i	$-0.953488\pi$
$29$	−1.24625	+	2.72890i	−0.231422	+	0.506743i	0.757921	+	0.652346i	$0.226215\pi$
$30$	7.66724	−	8.84847i	1.39984	−	1.61550i
$31$	0.954677	−	6.63992i	0.171465	−	1.19257i	−0.704327	−	0.709876i	$-0.748751\pi$
$31$	0.954677	−	6.63992i	0.171465	−	1.19257i	0.875792	−	0.482689i	$-0.160340\pi$
$32$	−3.24497	+	0.952810i	−0.573636	+	0.168435i
$33$	−1.11864	−	1.29097i	−0.194729	−	0.224730i
$34$	7.12721	−	4.58038i	1.22231	−	0.785529i
$35$	3.36501	−	2.16256i	0.568791	−	0.365540i
$36$	−0.809452	−	0.934158i	−0.134909	−	0.155693i
$37$	3.10498	−	0.911706i	0.510456	−	0.149883i	−0.0163542	−	0.999866i	$-0.505206\pi$
$37$	3.10498	−	0.911706i	0.510456	−	0.149883i	0.526810	+	0.849983i	$0.323388\pi$
$38$	0.460540	−	3.20313i	0.0747095	−	0.519616i
$39$	−4.39294	+	5.06972i	−0.703433	+	0.811805i
$40$	3.00597	−	6.58216i	0.475286	−	1.04073i
$41$	−5.25048	−	1.54168i	−0.819987	−	0.240770i	−0.155276	−	0.987871i	$-0.549627\pi$
$41$	−5.25048	−	1.54168i	−0.819987	−	0.240770i	−0.664710	+	0.747101i	$0.731445\pi$
$42$	−1.85779	−	4.06800i	−0.286664	−	0.627706i
$43$		0			0		0.989821	−	0.142315i	$-0.0454545\pi$
$43$		0			0		−0.989821	+	0.142315i	$0.954545\pi$
$44$	0.397186	+	0.255256i	0.0598780	+	0.0384813i
$45$	6.47214			0.964809
$46$		0			0
$47$	2.23607			0.326164			0.163082	−	0.986613i	$-0.447856\pi$
$47$	2.23607			0.326164			0.163082	+	0.986613i	$0.447856\pi$
$48$	−9.13105	−	5.86817i	−1.31795	−	0.846997i
$49$	0.778766	+	5.41644i	0.111252	+	0.773777i
$50$	−3.67813	−	8.05397i	−0.520166	−	1.13900i
$51$	11.2339	+	3.29858i	1.57307	+	0.461894i
$52$	0.770222	−	1.68655i	0.106811	−	0.233882i
$53$	−5.54807	+	6.40281i	−0.762086	+	0.879494i	−0.995681	−	0.0928399i	$-0.970406\pi$
$53$	−5.54807	+	6.40281i	−0.762086	+	0.879494i	0.233595	+	0.972334i	$0.424951\pi$
$54$	−0.514900	+	3.58121i	−0.0700690	+	0.487341i
$55$	−2.37200	+	0.696481i	−0.319840	+	0.0939135i
$56$	−1.80999	−	2.08884i	−0.241870	−	0.279133i
$57$	3.76220	−	2.41782i	0.498316	−	0.320248i
$58$	4.08353	−	2.62433i	0.536194	−	0.344591i
$59$	1.61890	+	1.86832i	0.210763	+	0.243234i	0.851282	−	0.524709i	$-0.175826\pi$
$59$	1.61890	+	1.86832i	0.210763	+	0.243234i	−0.640518	+	0.767943i	$0.721280\pi$
$60$	−4.29098	+	1.25995i	−0.553964	+	0.162658i
$61$	1.55753	−	10.8329i	0.199422	−	1.38701i	−0.606546	−	0.795048i	$-0.707446\pi$
$61$	1.55753	−	10.8329i	0.199422	−	1.38701i	0.805968	−	0.591959i	$-0.201645\pi$
$62$	−7.10793	+	8.20298i	−0.902707	+	1.04178i
$63$	1.02696	−	2.24873i	0.129385	−	0.283314i
$64$	−4.06448	−	1.19344i	−0.508060	−	0.149180i
$65$	4.03293	+	8.83089i	0.500224	+	1.09534i
$66$	0.393349	+	2.73580i	0.0484179	+	0.336754i
$67$	6.08737	+	3.91211i	0.743690	+	0.477941i	0.856805	−	0.515641i	$-0.172446\pi$
$67$	6.08737	+	3.91211i	0.743690	+	0.477941i	−0.113114	+	0.993582i	$0.536083\pi$
$68$	−3.23607			−0.392431
$69$		0			0
$70$	−6.47214			−0.773568
$71$	6.53144	+	4.19750i	0.775139	+	0.498151i	0.867417	−	0.497582i	$-0.165779\pi$
$71$	6.53144	+	4.19750i	0.775139	+	0.498151i	−0.0922783	+	0.995733i	$0.529415\pi$
$72$	−0.636451	−	4.42662i	−0.0750065	−	0.521682i
$73$	6.42736	+	14.0739i	0.752265	+	1.64723i	0.762251	+	0.647281i	$0.224094\pi$
$73$	6.42736	+	14.0739i	0.752265	+	1.64723i	−0.00998608	+	0.999950i	$0.503179\pi$
$74$	−5.02397	−	1.47517i	−0.584025	−	0.171485i
$75$	5.08305	−	11.1303i	0.586940	−	1.28522i
$76$	−0.809452	+	0.934158i	−0.0928506	+	0.107155i
$77$	−0.134384	+	0.934661i	−0.0153145	+	0.106514i
$78$	10.4144	−	3.05795i	1.17920	−	0.346245i
$79$	4.54753	+	5.24813i	0.511637	+	0.590461i	0.951517	−	0.307596i	$-0.0995245\pi$
$79$	4.54753	+	5.24813i	0.511637	+	0.590461i	−0.439880	+	0.898057i	$0.644979\pi$
$80$	−13.2146	+	8.49250i	−1.47744	+	0.949490i
$81$	−9.25379	+	5.94705i	−1.02820	+	0.660783i
$82$	5.79820	+	6.69148i	0.640304	+	0.738951i
$83$	−12.6999	+	3.72903i	−1.39400	+	0.409314i	−0.890618	−	0.454752i	$-0.849728\pi$
$83$	−12.6999	+	3.72903i	−1.39400	+	0.409314i	−0.503378	+	0.864066i	$0.667910\pi$
$84$	−0.243103	+	1.69082i	−0.0265247	+	0.184483i
$85$	11.0961	−	12.8056i	1.20355	−	1.38897i
$86$		0			0
$87$	6.43647	+	1.88992i	0.690063	+	0.202621i
$88$	0.709614	+	1.55384i	0.0756451	+	0.165640i
$89$	−0.217438	−	1.51231i	−0.0230484	−	0.160305i	0.975047	−	0.222000i	$-0.0712585\pi$
$89$	−0.217438	−	1.51231i	−0.0230484	−	0.160305i	−0.998095	+	0.0616951i	$0.980349\pi$
$90$	−8.80972	−	5.66166i	−0.928626	−	0.596792i
$91$	3.70820			0.388725
$92$		0			0
$93$	−15.0000			−1.55543
$94$	−3.04368	−	1.95606i	−0.313932	−	0.201752i
$95$	−0.921081	−	6.40626i	−0.0945009	−	0.657268i
$96$	3.14150	+	6.87892i	0.320628	+	0.702076i
$97$	4.11795	+	1.20914i	0.418114	+	0.122769i	0.484021	−	0.875056i	$-0.339176\pi$
$97$	4.11795	+	1.20914i	0.418114	+	0.122769i	−0.0659068	+	0.997826i	$0.520994\pi$
$98$	3.67813	−	8.05397i	0.371547	−	0.813574i
$99$	−1.00054	+	1.15468i	−0.100558	+	0.116050i
$100$	−0.481304	+	3.34754i	−0.0481304	+	0.334754i
$101$	4.29098	−	1.25995i	0.426969	−	0.125369i	−0.0611861	−	0.998126i	$-0.519488\pi$
$101$	4.29098	−	1.25995i	0.426969	−	0.125369i	0.488155	+	0.872757i	$0.337670\pi$
$102$	−12.4059	−	14.3171i	−1.22836	−	1.41761i
$103$	−15.2943	+	9.82903i	−1.50699	+	0.968483i	−0.513073	+	0.858345i	$0.671493\pi$
$103$	−15.2943	+	9.82903i	−1.50699	+	0.968483i	−0.993916	+	0.110139i	$0.964870\pi$
$104$	5.64330	−	3.62673i	0.553371	−	0.355630i
$105$	−5.85725	−	6.75963i	−0.571609	−	0.659672i
$106$	13.1529	−	3.86205i	1.27753	−	0.375115i
$107$	−1.90935	+	13.2798i	−0.184584	+	1.28381i	0.661169	+	0.750237i	$0.270061\pi$
$107$	−1.90935	+	13.2798i	−0.184584	+	1.28381i	−0.845753	+	0.533574i	$0.820848\pi$
$108$	0.904995	−	1.04442i	0.0870832	−	0.100499i
$109$		0			0		−0.909632	−	0.415415i	$-0.863636\pi$
$109$		0			0		0.909632	+	0.415415i	$0.136364\pi$
$110$	3.83797	+	1.12693i	0.365936	+	0.107449i
$111$	−3.00597	−	6.58216i	−0.285314	−	0.624751i
$112$	0.853889	+	5.93893i	0.0806849	+	0.561176i
$113$	−11.1349	−	7.15596i	−1.04748	−	0.673176i	−0.100656	−	0.994921i	$-0.532094\pi$
$113$	−11.1349	−	7.15596i	−1.04748	−	0.673176i	−0.946826	+	0.321745i	$0.895731\pi$
$114$	−7.23607			−0.677720
$115$		0			0
$116$	−1.85410			−0.172149
$117$	5.04752	+	3.24384i	0.466643	+	0.299894i
$118$	−0.569259	−	3.95929i	−0.0524046	−	0.364482i
$119$	−2.68862	−	5.88726i	−0.246466	−	0.539684i
$120$	−15.5249	−	4.55853i	−1.41723	−	0.416135i
$121$	−4.32713	+	9.47510i	−0.393376	+	0.861373i
$122$	−11.5964	+	13.3830i	−1.04989	+	1.21164i
$123$	−1.74137	+	12.1115i	−0.157014	+	1.09206i
$124$	3.97796	−	1.16803i	0.357231	−	0.104893i
$125$	−1.00054	−	1.15468i	−0.0894909	−	0.103278i
$126$	−3.36501	+	2.16256i	−0.299779	+	0.192656i
$127$	−17.4208	+	11.1957i	−1.54585	+	0.993458i	−0.559494	+	0.828834i	$0.689004\pi$
$127$	−17.4208	+	11.1957i	−1.54585	+	0.993458i	−0.986357	+	0.164623i	$0.947359\pi$
$128$	8.91792	+	10.2918i	0.788240	+	0.909677i
$129$		0			0
$130$	2.23551	−	15.5483i	0.196067	−	1.36368i
$131$	−3.46539	+	3.99927i	−0.302772	+	0.349418i	−0.886665	−	0.462413i	$-0.846984\pi$
$131$	−3.46539	+	3.99927i	−0.302772	+	0.349418i	0.583892	+	0.811831i	$0.301529\pi$
$132$	0.438565	−	0.960324i	0.0381722	−	0.0835855i
$133$	−2.37200	−	0.696481i	−0.205678	−	0.0603926i
$134$	−4.86376	−	10.6502i	−0.420165	−	0.920033i
$135$	1.02980	+	7.16242i	0.0886311	+	0.616443i
$136$	−9.84957	−	6.32993i	−0.844593	−	0.542787i
$137$	−13.8885			−1.18658			−0.593289	−	0.804989i	$-0.702171\pi$
$137$	−13.8885			−1.18658			−0.593289	+	0.804989i	$0.702171\pi$
$138$		0			0
$139$	2.70820			0.229707			0.114853	−	0.993382i	$-0.463360\pi$
$139$	2.70820			0.229707			0.114853	+	0.993382i	$0.463360\pi$
$140$	2.07969	+	1.33654i	0.175766	+	0.112958i
$141$	−0.711574	−	4.94911i	−0.0599254	−	0.416790i
$142$	−5.21857	−	11.4271i	−0.437933	−	0.958939i
$143$	−2.19896	−	0.645674i	−0.183886	−	0.0539939i
$144$	−4.03293	+	8.83089i	−0.336078	+	0.735908i
$145$	6.35752	−	7.33697i	0.527963	−	0.609302i
$146$	3.56277	−	24.7796i	0.294857	−	2.05078i
$147$	11.7404	−	3.44730i	0.968334	−	0.284328i
$148$	1.30972	+	1.51150i	0.107658	+	0.124244i
$149$	10.0013	−	6.42743i	0.819337	−	0.526556i	−0.0625363	−	0.998043i	$-0.519919\pi$
$149$	10.0013	−	6.42743i	0.819337	−	0.526556i	0.881873	+	0.471487i	$0.156283\pi$
$150$	−16.6555	+	10.7038i	−1.35991	+	0.873962i
$151$	0.154592	+	0.178408i	0.0125805	+	0.0145187i	0.762005	−	0.647571i	$-0.224215\pi$
$151$	0.154592	+	0.178408i	0.0125805	+	0.0145187i	−0.749424	+	0.662090i	$0.769670\pi$
$152$	−4.29098	+	1.25995i	−0.348045	+	0.102195i
$153$	1.49034	−	10.3655i	0.120487	−	0.838005i
$154$	1.00054	−	1.15468i	0.0806257	−	0.0930470i
$155$	−9.01791	+	19.7465i	−0.724336	+	1.58608i
$156$	−3.97796	−	1.16803i	−0.318492	−	0.0935176i
$157$	−6.40421	−	14.0233i	−0.511111	−	1.11918i	−0.972696	−	0.232082i	$-0.925446\pi$
$157$	−6.40421	−	14.0233i	−0.511111	−	1.11918i	0.461585	−	0.887096i	$-0.347281\pi$
$158$	−1.59906	−	11.1217i	−0.127214	−	0.884795i
$159$	15.9369	+	10.2420i	1.26388	+	0.812247i
$160$	10.9443			0.865221
$161$		0			0
$162$	17.7984			1.39837
$163$	−8.61113	−	5.53404i	−0.674476	−	0.433459i	0.158061	−	0.987429i	$-0.449476\pi$
$163$	−8.61113	−	5.53404i	−0.674476	−	0.433459i	−0.832536	+	0.553970i	$0.813112\pi$
$164$	−0.481304	−	3.34754i	−0.0375835	−	0.261399i
$165$	2.29636	+	5.02832i	0.178771	+	0.391454i
$166$	20.5489	+	6.03370i	1.59490	+	0.468306i
$167$	4.35028	−	9.52579i	0.336635	−	0.737128i	−0.663302	−	0.748352i	$-0.730846\pi$
$167$	4.35028	−	9.52579i	0.336635	−	0.737128i	0.999937	+	0.0112240i	$0.00357280\pi$
$168$	−4.04726	+	4.67079i	−0.312253	+	0.360359i
$169$	0.569259	−	3.95929i	0.0437892	−	0.304560i
$170$	−26.3059	+	7.72409i	−2.01757	+	0.592411i
$171$	−2.61944	−	3.02300i	−0.200314	−	0.231174i
$172$		0			0
$173$	4.25315	−	2.73333i	0.323361	−	0.207811i	−0.368882	−	0.929476i	$-0.620259\pi$
$173$	4.25315	−	2.73333i	0.323361	−	0.207811i	0.692243	+	0.721665i	$0.256623\pi$
$174$	−7.10793	−	8.20298i	−0.538850	−	0.621867i
$175$	−6.48995	+	1.90562i	−0.490594	+	0.144051i
$176$	0.527732	−	3.67046i	0.0397793	−	0.276671i
$177$	3.61998	−	4.17768i	0.272094	−	0.314014i
$178$	−1.02696	+	2.24873i	−0.0769741	+	0.168550i
$179$	12.1934	+	3.58031i	0.911380	+	0.267605i	0.703622	−	0.710575i	$-0.251565\pi$
$179$	12.1934	+	3.58031i	0.911380	+	0.267605i	0.207758	+	0.978180i	$0.433383\pi$
$180$	1.66166	+	3.63853i	0.123853	+	0.271200i
$181$	−2.08526	−	14.5033i	−0.154997	−	1.07802i	−0.907686	−	0.419649i	$-0.862153\pi$
$181$	−2.08526	−	14.5033i	−0.154997	−	1.07802i	0.752690	−	0.658375i	$-0.228756\pi$
$182$	−5.04752	−	3.24384i	−0.374147	−	0.240450i
$183$	−24.4721			−1.80903
$184$		0			0
$185$	−10.4721			−0.769927
$186$	20.4177	+	13.1216i	1.49709	+	0.962124i
$187$	0.569259	+	3.95929i	0.0416284	+	0.289532i
$188$	0.574089	+	1.25708i	0.0418698	+	0.0916820i
$189$	2.65197	+	0.778690i	0.192903	+	0.0566413i
$190$	−4.35028	+	9.52579i	−0.315603	+	0.691073i
$191$	−2.50135	+	2.88671i	−0.180991	+	0.208875i	−0.838994	−	0.544140i	$-0.816856\pi$
$191$	−2.50135	+	2.88671i	−0.180991	+	0.208875i	0.658003	+	0.753015i	$0.271401\pi$
$192$	−1.34803	+	9.37572i	−0.0972854	+	0.676635i
$193$	7.62247	−	2.23816i	0.548678	−	0.161106i	0.00436765	−	0.999990i	$-0.498610\pi$
$193$	7.62247	−	2.23816i	0.548678	−	0.161106i	0.544310	+	0.838884i	$0.316792\pi$
$194$	−4.54753	−	5.24813i	−0.326494	−	0.376794i
$195$	18.2621	−	11.7363i	1.30778	−	0.840457i
$196$	−2.84509	+	1.82843i	−0.203221	+	0.130602i
$197$	−4.89321	−	5.64706i	−0.348627	−	0.402337i	0.554171	−	0.832403i	$-0.313036\pi$
$197$	−4.89321	−	5.64706i	−0.348627	−	0.402337i	−0.902797	+	0.430067i	$0.858490\pi$
$198$	2.37200	−	0.696481i	0.168570	−	0.0494968i
$199$	−3.65866	+	25.4465i	−0.259355	+	1.80386i	0.278086	+	0.960556i	$0.410300\pi$
$199$	−3.65866	+	25.4465i	−0.259355	+	1.80386i	−0.537442	+	0.843301i	$0.680609\pi$
$200$	−8.01292	+	9.24740i	−0.566599	+	0.653890i
$201$	6.72156	−	14.7182i	0.474102	−	1.03814i
$202$	−6.94296	−	2.03864i	−0.488505	−	0.143438i
$203$	−1.54044	−	3.37310i	−0.108118	−	0.236745i
$204$	1.02980	+	7.16242i	0.0721004	+	0.501469i
$205$	14.8971	+	9.57378i	1.04046	+	0.668662i
$206$	29.4164			2.04954
$207$		0			0
$208$	−14.5623			−1.00971
$209$	1.28532	+	0.826026i	0.0889075	+	0.0571374i
$210$	2.05960	+	14.3248i	0.142126	+	0.988507i
$211$	1.41923	+	3.10767i	0.0977036	+	0.213941i	0.952172	−	0.305562i	$-0.0988443\pi$
$211$	1.41923	+	3.10767i	0.0977036	+	0.213941i	−0.854469	+	0.519503i	$0.826117\pi$
$212$	−5.02397	−	1.47517i	−0.345048	−	0.101315i
$213$	7.21189	−	15.7918i	0.494150	−	1.08204i
$214$	14.2159	−	16.4060i	0.971776	−	1.12149i
$215$		0			0
$216$	4.79746	−	1.40866i	0.326426	−	0.0958474i
$217$	5.42997	+	6.26652i	0.368610	+	0.425399i
$218$		0			0
$219$	29.1046	−	18.7044i	1.96671	−	1.26393i
$220$	−1.00054	−	1.15468i	−0.0674563	−	0.0778487i
$221$	15.0719	−	4.42551i	1.01385	−	0.297692i
$222$	−1.66625	+	11.5890i	−0.111831	+	0.777805i
$223$	−2.61944	+	3.02300i	−0.175411	+	0.202435i	−0.836646	−	0.547743i	$-0.815487\pi$
$223$	−2.61944	+	3.02300i	−0.175411	+	0.202435i	0.661235	+	0.750178i	$0.270032\pi$
$224$	1.73658	−	3.80257i	0.116030	−	0.254070i
$225$	−10.5010	−	3.08336i	−0.700063	−	0.205557i
$226$	8.89670	+	19.4810i	0.591800	+	1.29586i
$227$	1.44881	+	10.0767i	0.0961611	+	0.668815i	0.979702	+	0.200461i	$0.0642439\pi$
$227$	1.44881	+	10.0767i	0.0961611	+	0.668815i	−0.883541	+	0.468355i	$0.844847\pi$
$228$	2.32517	+	1.49429i	0.153988	+	0.0989621i
$229$	12.0000			0.792982			0.396491	−	0.918039i	$-0.370228\pi$
$229$	12.0000			0.792982			0.396491	+	0.918039i	$0.370228\pi$
$230$		0			0
$231$	2.11146			0.138924
$232$	−5.64330	−	3.62673i	−0.370501	−	0.238106i
$233$	2.20191	+	15.3147i	0.144252	+	1.00330i	0.925411	+	0.378964i	$0.123720\pi$
$233$	2.20191	+	15.3147i	0.144252	+	1.00330i	−0.781159	+	0.624332i	$0.785371\pi$
$234$	−4.03293	−	8.83089i	−0.263641	−	0.577294i
$235$	−6.94296	−	2.03864i	−0.452909	−	0.132986i
$236$	−0.634698	+	1.38979i	−0.0413153	+	0.0904679i
$237$	10.1686	−	11.7352i	0.660521	−	0.762282i
$238$	−1.49034	+	10.3655i	−0.0966044	+	0.671898i
$239$	−17.4974	+	5.13769i	−1.13181	+	0.332330i	−0.793419	−	0.608675i	$-0.791701\pi$
$239$	−17.4974	+	5.13769i	−1.13181	+	0.332330i	−0.338392	+	0.941005i	$0.609883\pi$
$240$	23.0017	+	26.5454i	1.48476	+	1.71350i
$241$	−14.4061	+	9.25826i	−0.927981	+	0.596377i	−0.914963	−	0.403538i	$-0.867780\pi$
$241$	−14.4061	+	9.25826i	−0.927981	+	0.596377i	−0.0130182	+	0.999915i	$0.504144\pi$
$242$	14.1786	−	9.11202i	0.911433	−	0.585743i
$243$	11.7145	+	13.5193i	0.751486	+	0.867261i
$244$	6.48995	−	1.90562i	0.415476	−	0.121995i
$245$	2.52014	−	17.5280i	0.161006	−	1.11982i
$246$	12.9652	−	14.9626i	0.826630	−	0.953981i
$247$	2.49249	−	5.45779i	0.158593	−	0.347271i
$248$	14.3924	+	4.22599i	0.913918	+	0.268351i
$249$	12.2949	+	26.9221i	0.779160	+	1.70612i
$250$	0.351822	+	2.44697i	0.0222512	+	0.154760i
$251$	−13.2146	−	8.49250i	−0.834097	−	0.536042i	0.0524803	−	0.998622i	$-0.483287\pi$
$251$	−13.2146	−	8.49250i	−0.834097	−	0.536042i	−0.886577	+	0.462580i	$0.846924\pi$
$252$	1.52786			0.0962464
$253$		0			0
$254$	33.5066			2.10239
$255$	−31.8739	−	20.4841i	−1.99602	−	1.28276i
$256$	−1.93012	−	13.4243i	−0.120632	−	0.839016i
$257$	0.611547	+	1.33910i	0.0381473	+	0.0835309i	0.927746	−	0.373211i	$-0.121743\pi$
$257$	0.611547	+	1.33910i	0.0381473	+	0.0835309i	−0.889599	+	0.456742i	$0.849016\pi$
$258$		0			0
$259$	−1.66166	+	3.63853i	−0.103251	+	0.226087i
$260$	−3.92916	+	4.53450i	−0.243676	+	0.281218i
$261$	0.853889	−	5.93893i	0.0528544	−	0.367610i
$262$	8.21547	−	2.41228i	0.507554	−	0.149031i
$263$	−9.78642	−	11.2941i	−0.603456	−	0.696426i	0.369022	−	0.929421i	$-0.379693\pi$
$263$	−9.78642	−	11.2941i	−0.603456	−	0.696426i	−0.972478	+	0.232995i	$0.925147\pi$
$264$	3.21330	−	2.06506i	0.197765	−	0.127096i
$265$	23.0641	−	14.8224i	1.41682	−	0.910535i
$266$	2.61944	+	3.02300i	0.160608	+	0.185352i
$267$	−3.27802	+	0.962513i	−0.200612	+	0.0589049i
$268$	−0.636451	+	4.42662i	−0.0388775	+	0.270399i
$269$	−6.51211	+	7.51538i	−0.397051	+	0.458221i	−0.918710	−	0.394933i	$-0.870768\pi$
$269$	−6.51211	+	7.51538i	−0.397051	+	0.458221i	0.521659	+	0.853154i	$0.325313\pi$
$270$	4.86376	−	10.6502i	0.295999	−	0.648148i
$271$	−7.67594	−	2.25386i	−0.466280	−	0.136912i	0.0401490	−	0.999194i	$-0.487217\pi$
$271$	−7.67594	−	2.25386i	−0.466280	−	0.136912i	−0.506429	+	0.862281i	$0.669035\pi$
$272$	10.5584	+	23.1196i	0.640194	+	1.40183i
$273$	−1.18005	−	8.20740i	−0.0714196	−	0.496734i
$274$	18.9048	+	12.1494i	1.14208	+	0.733969i
$275$	4.18034			0.252084
$276$		0			0
$277$	6.52786			0.392221			0.196111	−	0.980582i	$-0.437169\pi$
$277$	6.52786			0.392221			0.196111	+	0.980582i	$0.437169\pi$
$278$	−3.68634	−	2.36907i	−0.221092	−	0.142087i
$279$	1.90935	+	13.2798i	0.114310	+	0.795044i
$280$	3.71558	+	8.13600i	0.222049	+	0.486219i
$281$	−12.6999	−	3.72903i	−0.757613	−	0.222455i	−0.119960	−	0.992779i	$-0.538277\pi$
$281$	−12.6999	−	3.72903i	−0.757613	−	0.222455i	−0.637653	+	0.770323i	$0.720095\pi$
$282$	−3.36078	+	7.35908i	−0.200131	+	0.438227i
$283$	9.35914	−	10.8010i	0.556343	−	0.642054i	−0.406006	−	0.913870i	$-0.633079\pi$
$283$	9.35914	−	10.8010i	0.556343	−	0.642054i	0.962349	+	0.271816i	$0.0876243\pi$
$284$	−0.682880	+	4.74953i	−0.0405215	+	0.281833i
$285$	−13.8859	+	4.07727i	−0.822530	+	0.241517i
$286$	2.42836	+	2.80247i	0.143592	+	0.165714i
$287$	5.69018	−	3.65686i	0.335881	−	0.215857i
$288$	5.69018	−	3.65686i	0.335297	−	0.215482i
$289$	−6.82130	−	7.87220i	−0.401253	−	0.463070i
$290$	−15.0719	+	4.42551i	−0.885053	+	0.259875i
$291$	1.36576	−	9.49907i	0.0800622	−	0.556845i
$292$	−6.26198	+	7.22671i	−0.366455	+	0.422911i
$293$	4.35028	−	9.52579i	0.254146	−	0.556503i	−0.738956	−	0.673754i	$-0.764681\pi$
$293$	4.35028	−	9.52579i	0.254146	−	0.556503i	0.993102	+	0.117251i	$0.0374082\pi$
$294$	−18.9964	−	5.57785i	−1.10789	−	0.325307i
$295$	−3.32332	−	7.27706i	−0.193491	−	0.423687i
$296$	1.02980	+	7.16242i	0.0598559	+	0.416307i
$297$	−1.43703	−	0.923525i	−0.0833851	−	0.0535883i
$298$	−19.2361			−1.11432
$299$		0			0
$300$	7.56231			0.436610
$301$		0			0
$302$	−0.0543594	−	0.378078i	−0.00312803	−	0.0217560i
$303$	−4.15415	−	9.09632i	−0.238650	−	0.522570i
$304$	9.31495	+	2.73512i	0.534249	+	0.156870i
$305$	−14.7125	+	32.2159i	−0.842436	+	1.84468i
$306$	−11.0961	+	12.8056i	−0.634324	+	0.732049i
$307$	−2.62886	+	18.2841i	−0.150037	+	1.04353i	0.766116	+	0.642702i	$0.222187\pi$
$307$	−2.62886	+	18.2841i	−0.150037	+	1.04353i	−0.916153	+	0.400828i	$0.868723\pi$
$308$	−0.559953	+	0.164417i	−0.0319063	+	0.00936852i
$309$	26.6217	+	30.7231i	1.51446	+	1.74778i
$310$	29.5487	−	18.9898i	1.67825	−	1.07855i
$311$	−7.72299	+	4.96327i	−0.437931	+	0.281441i	−0.740971	−	0.671537i	$-0.765635\pi$
$311$	−7.72299	+	4.96327i	−0.437931	+	0.281441i	0.303041	+	0.952978i	$0.401998\pi$
$312$	−9.82291	−	11.3362i	−0.556113	−	0.641788i
$313$	−19.5359	+	5.73627i	−1.10424	+	0.324233i	−0.782534	−	0.622608i	$-0.786073\pi$
$313$	−19.5359	+	5.73627i	−1.10424	+	0.324233i	−0.321702	+	0.946841i	$0.604255\pi$
$314$	−3.54994	+	24.6904i	−0.200335	+	1.39336i
$315$	−5.23889	+	6.04600i	−0.295178	+	0.340653i
$316$	−1.78288	+	3.90396i	−0.100295	+	0.219615i
$317$	1.35903	+	0.399048i	0.0763309	+	0.0224128i	0.319675	−	0.947527i	$-0.396426\pi$
$317$	1.35903	+	0.399048i	0.0763309	+	0.0224128i	−0.243344	+	0.969940i	$0.578244\pi$
$318$	−12.7335	−	27.8825i	−0.714059	−	1.56357i
$319$	0.326157	+	2.26847i	0.0182613	+	0.127010i
$320$	11.5321	+	7.41121i	0.644663	+	0.414299i
$321$	30.0000			1.67444
$322$		0			0
$323$	−10.4721			−0.582685
$324$	−5.71916	−	3.67548i	−0.317731	−	0.204193i
$325$	−2.33630	−	16.2493i	−0.129595	−	0.901350i
$326$	6.88023	+	15.0656i	0.381061	+	0.834407i
$327$		0			0
$328$	5.08305	−	11.1303i	0.280664	−	0.614569i
$329$	−1.80999	+	2.08884i	−0.0997880	+	0.115162i
$330$	1.27290	−	8.85323i	0.0700710	−	0.487354i
$331$	−11.1805	+	3.28288i	−0.614534	+	0.180444i	−0.574163	−	0.818741i	$-0.694672\pi$
$331$	−11.1805	+	3.28288i	−0.614534	+	0.180444i	−0.0403715	+	0.999185i	$0.512854\pi$
$332$	−5.35698	−	6.18229i	−0.294003	−	0.339297i
$333$	−5.44471	+	3.49910i	−0.298368	+	0.191750i
$334$	−14.2544	+	9.16077i	−0.779968	+	0.501255i
$335$	−15.3345	−	17.6969i	−0.837812	−	0.966887i
$336$	12.8729	−	3.77984i	0.702277	−	0.206207i
$337$	−0.486206	+	3.38163i	−0.0264853	+	0.184209i	−0.998770	−	0.0495927i	$-0.984208\pi$
$337$	−0.486206	+	3.38163i	−0.0264853	+	0.184209i	0.972284	+	0.233802i	$0.0751168\pi$
$338$	−4.23835	+	4.89131i	−0.230536	+	0.266052i
$339$	−12.2949	+	26.9221i	−0.667769	+	1.46221i
$340$	10.0479	+	2.95034i	0.544926	+	0.160005i
$341$	−2.12884	−	4.66151i	−0.115283	−	0.252435i
$342$	0.921081	+	6.40626i	0.0498064	+	0.346411i
$343$	−12.9691	−	8.33474i	−0.700266	−	0.450034i
$344$		0			0
$345$		0			0
$346$	−8.18034			−0.439778
$347$	21.7788	+	13.9964i	1.16915	+	0.751366i	0.973361	−	0.229280i	$-0.0736371\pi$
$347$	21.7788	+	13.9964i	1.16915	+	0.751366i	0.195788	+	0.980646i	$0.437273\pi$
$348$	0.590023	+	4.10370i	0.0316285	+	0.219981i
$349$	−1.00381	−	2.19804i	−0.0537328	−	0.117658i	0.880861	−	0.473375i	$-0.156964\pi$
$349$	−1.00381	−	2.19804i	−0.0537328	−	0.117658i	−0.934594	+	0.355716i	$0.884237\pi$
$350$	10.5010	+	3.08336i	0.561299	+	0.164812i
$351$	−2.78669	+	6.10200i	−0.148742	+	0.325701i
$352$	−1.69189	+	1.95255i	−0.0901782	+	0.104071i
$353$	5.03235	−	35.0008i	0.267845	−	1.86290i	−0.200958	−	0.979600i	$-0.564406\pi$
$353$	5.03235	−	35.0008i	0.267845	−	1.86290i	0.468803	−	0.883303i	$-0.344685\pi$
$354$	−8.58197	+	2.51989i	−0.456126	+	0.133931i
$355$	−16.4531	−	18.9879i	−0.873241	−	1.00777i
$356$	0.794372	−	0.510512i	0.0421016	−	0.0270571i
$357$	−12.1747	+	7.82423i	−0.644355	+	0.414102i
$358$	−13.4654	−	15.5400i	−0.711671	−	0.821312i
$359$	15.2449	−	4.47632i	0.804597	−	0.236251i	0.146526	−	0.989207i	$-0.453191\pi$
$359$	15.2449	−	4.47632i	0.804597	−	0.236251i	0.658071	+	0.752956i	$0.271373\pi$
$360$	−2.05960	+	14.3248i	−0.108550	+	0.754985i
$361$	9.82291	−	11.3362i	0.516995	−	0.596644i
$362$	−9.84874	+	21.5657i	−0.517638	+	1.13347i
$363$	22.3483	+	6.56206i	1.17298	+	0.344419i
$364$	0.952046	+	2.08469i	0.0499008	+	0.109267i
$365$	−7.12555	−	49.5593i	−0.372968	−	2.59405i
$366$	33.3109	+	21.4076i	1.74119	+	1.11899i
$367$	−18.1803			−0.949006			−0.474503	−	0.880254i	$-0.657372\pi$
$367$	−18.1803			−0.949006			−0.474503	+	0.880254i	$0.657372\pi$
$368$		0			0
$369$	10.9443			0.569736
$370$	14.2544	+	9.16077i	0.741052	+	0.476245i
$371$	−1.49034	−	10.3655i	−0.0773746	−	0.538152i
$372$	−3.85111	−	8.43275i	−0.199671	−	0.437218i
$373$	−5.47698	−	1.60819i	−0.283587	−	0.0832688i	0.136846	−	0.990592i	$-0.456304\pi$
$373$	−5.47698	−	1.60819i	−0.283587	−	0.0832688i	−0.420433	+	0.907324i	$0.638122\pi$
$374$	2.68862	−	5.88726i	0.139025	−	0.304423i
$375$	−2.23727	+	2.58195i	−0.115532	+	0.133331i
$376$	−0.711574	+	4.94911i	−0.0366966	+	0.255231i
$377$	8.63544	−	2.53559i	0.444748	−	0.130590i
$378$	−2.92863	−	3.37981i	−0.150632	−	0.173839i
$379$	17.1285	−	11.0078i	0.879832	−	0.565433i	−0.0209136	−	0.999781i	$-0.506657\pi$
$379$	17.1285	−	11.0078i	0.879832	−	0.565433i	0.900745	+	0.434348i	$0.143021\pi$
$380$	3.36501	−	2.16256i	0.172622	−	0.110937i
$381$	30.3233	+	34.9949i	1.55351	+	1.79285i
$382$	5.92999	−	1.74120i	0.303405	−	0.0890877i
$383$	3.54994	−	24.6904i	0.181393	−	1.26162i	−0.672078	−	0.740480i	$-0.734598\pi$
$383$	3.54994	−	24.6904i	0.181393	−	1.26162i	0.853472	−	0.521139i	$-0.174493\pi$
$384$	19.9411	−	23.0132i	1.01761	−	1.17439i
$385$	1.26940	−	2.77959i	0.0646944	−	0.141661i
$386$	−12.3334	−	3.62142i	−0.627755	−	0.184325i
$387$		0			0
$388$	0.377487	+	2.62548i	0.0191640	+	0.133288i
$389$	−28.9998	−	18.6370i	−1.47035	−	0.944936i	−0.997980	−	0.0635347i	$-0.979763\pi$
$389$	−28.9998	−	18.6370i	−1.47035	−	0.944936i	−0.472369	−	0.881401i	$-0.656601\pi$
$390$	−35.1246			−1.77860
$391$		0			0
$392$	−12.2361			−0.618015
$393$	9.95440	+	6.39730i	0.502133	+	0.322701i
$394$	1.72061	+	11.9671i	0.0866831	+	0.602894i
$395$	−9.33526	−	20.4414i	−0.469708	−	1.02852i
$396$	−0.906022	−	0.266032i	−0.0455293	−	0.0133686i
$397$	1.00381	−	2.19804i	0.0503799	−	0.110317i	−0.882768	−	0.469809i	$-0.844323\pi$
$397$	1.00381	−	2.19804i	0.0503799	−	0.110317i	0.933148	+	0.359492i	$0.117050\pi$
$398$	27.2401	−	31.4367i	1.36542	−	1.57578i
$399$	−0.786697	+	5.47160i	−0.0393841	+	0.273923i
$400$	25.4863	−	7.48347i	1.27432	−	0.374173i
$401$	5.35698	+	6.18229i	0.267515	+	0.308729i	0.873574	−	0.486691i	$-0.161796\pi$
$401$	5.35698	+	6.18229i	0.267515	+	0.308729i	−0.606059	+	0.795419i	$0.707251\pi$
$402$	−22.0243	+	14.1542i	−1.09847	+	0.705945i
$403$	−16.9299	+	10.8802i	−0.843338	+	0.541981i
$404$	1.80999	+	2.08884i	0.0900504	+	0.103924i
$405$	34.1548	−	10.0288i	1.69717	−	0.498333i
$406$	−0.853889	+	5.93893i	−0.0423778	+	0.294744i
$407$	1.61890	−	1.86832i	0.0802461	−	0.0926090i
$408$	−10.8757	+	23.8145i	−0.538428	+	1.17899i
$409$	22.4144	+	6.58146i	1.10832	+	0.325432i	0.784153	−	0.620567i	$-0.213098\pi$
$409$	22.4144	+	6.58146i	1.10832	+	0.325432i	0.324168	+	0.946000i	$0.394916\pi$
$410$	−11.9027	−	26.0632i	−0.587831	−	1.28717i
$411$	4.41969	+	30.7396i	0.218007	+	1.51627i
$412$	−9.45238	−	6.07468i	−0.465685	−	0.299278i
$413$	−3.05573			−0.150363
$414$		0			0
$415$	42.8328			2.10258
$416$	8.53527	+	5.48529i	0.418476	+	0.268938i
$417$	−0.861820	−	5.99409i	−0.0422035	−	0.293532i
$418$	−1.02696	−	2.24873i	−0.0502304	−	0.109989i
$419$	−30.1438	−	8.85102i	−1.47262	−	0.432401i	−0.555672	−	0.831402i	$-0.687539\pi$
$419$	−30.1438	−	8.85102i	−1.47262	−	0.432401i	−0.916950	+	0.399001i	$0.869357\pi$
$420$	2.29636	−	5.02832i	0.112051	−	0.245357i
$421$	−15.5256	+	17.9175i	−0.756670	+	0.873244i	−0.995197	−	0.0978921i	$-0.968790\pi$
$421$	−15.5256	+	17.9175i	−0.756670	+	0.873244i	0.238527	+	0.971136i	$0.423335\pi$
$422$	0.786697	−	5.47160i	0.0382958	−	0.266353i
$423$	−4.29098	+	1.25995i	−0.208635	+	0.0612607i
$424$	−12.4059	−	14.3171i	−0.602482	−	0.695301i
$425$	−24.1040	+	15.4907i	−1.16922	+	0.751409i
$426$	−23.6310	+	15.1867i	−1.14492	+	0.735798i
$427$	8.85887	+	10.2237i	0.428711	+	0.494758i
$428$	−7.95592	+	2.33607i	−0.384564	+	0.112918i
$429$	−0.729308	+	5.07245i	−0.0352113	+	0.244900i
$430$		0			0
$431$	10.9969	−	24.0799i	0.529703	−	1.15989i	−0.435930	−	0.899980i	$-0.643581\pi$
$431$	10.9969	−	24.0799i	0.529703	−	1.15989i	0.965633	−	0.259908i	$-0.0836921\pi$
$432$	−10.4144	−	3.05795i	−0.501065	−	0.147126i
$433$	−16.6915	−	36.5493i	−0.802143	−	1.75645i	−0.638037	−	0.770006i	$-0.720253\pi$
$433$	−16.6915	−	36.5493i	−0.802143	−	1.75645i	−0.164106	−	0.986443i	$-0.552474\pi$
$434$	−1.90935	−	13.2798i	−0.0916519	−	0.637453i
$435$	−18.2621	−	11.7363i	−0.875601	−	0.562714i
$436$		0			0
$437$		0			0
$438$	−55.9787			−2.67477
$439$	−4.45174	−	2.86096i	−0.212470	−	0.136546i	0.430078	−	0.902792i	$-0.358486\pi$
$439$	−4.45174	−	2.86096i	−0.212470	−	0.136546i	−0.642548	+	0.766246i	$0.722123\pi$
$440$	−0.786697	−	5.47160i	−0.0375043	−	0.260848i
$441$	−4.54641	−	9.95526i	−0.216496	−	0.474060i
$442$	−24.3869	−	7.16063i	−1.15996	−	0.340596i
$443$	−0.882596	+	1.93261i	−0.0419334	+	0.0918213i	−0.929439	−	0.368975i	$-0.879709\pi$
$443$	−0.882596	+	1.93261i	−0.0419334	+	0.0918213i	0.887506	+	0.460796i	$0.152436\pi$
$444$	2.92863	−	3.37981i	0.138986	−	0.160399i
$445$	−0.703643	+	4.89395i	−0.0333559	+	0.231995i
$446$	6.20997	−	1.82341i	0.294051	−	0.0863410i
$447$	−17.4086	−	20.0905i	−0.823396	−	0.950250i
$448$	4.40486	−	2.83083i	0.208110	−	0.133744i
$449$	2.47688	−	1.59179i	0.116891	−	0.0751214i	−0.480889	−	0.876782i	$-0.659686\pi$
$449$	2.47688	−	1.59179i	0.116891	−	0.0751214i	0.597780	+	0.801660i	$0.296050\pi$
$450$	11.5964	+	13.3830i	0.546660	+	0.630879i
$451$	−4.01101	+	1.17774i	−0.188871	+	0.0554575i
$452$	1.16418	−	8.09708i	0.0547586	−	0.380854i
$453$	0.345677	−	0.398933i	0.0162413	−	0.0187435i
$454$	6.84277	−	14.9836i	0.321147	−	0.703214i
$455$	−11.5139	−	3.38079i	−0.539781	−	0.158494i
$456$	4.15415	+	9.09632i	0.194536	+	0.425974i
$457$	4.99875	+	34.7671i	0.233832	+	1.62634i	0.681278	+	0.732025i	$0.261425\pi$
$457$	4.99875	+	34.7671i	0.233832	+	1.62634i	−0.447446	+	0.894311i	$0.647666\pi$
$458$	−16.3341	−	10.4973i	−0.763243	−	0.490507i
$459$	11.7082			0.546492
$460$		0			0
$461$	7.47214			0.348012			0.174006	−	0.984745i	$-0.444329\pi$
$461$	7.47214			0.348012			0.174006	+	0.984745i	$0.444329\pi$
$462$	−2.87407	−	1.84705i	−0.133714	−	0.0859325i
$463$	2.84630	+	19.7964i	0.132279	+	0.920018i	0.942574	+	0.333997i	$0.108397\pi$
$463$	2.84630	+	19.7964i	0.132279	+	0.920018i	−0.810296	+	0.586021i	$0.800693\pi$
$464$	6.04940	+	13.2463i	0.280836	+	0.614946i
$465$	46.5748	+	13.6756i	2.15985	+	0.634190i
$466$	10.3997	−	22.7721i	0.481756	−	1.05490i
$467$	−20.2642	+	23.3861i	−0.937715	+	1.08218i	0.0587587	+	0.998272i	$0.481286\pi$
$467$	−20.2642	+	23.3861i	−0.937715	+	1.08218i	−0.996473	+	0.0839084i	$0.973260\pi$
$468$	−0.527732	+	3.67046i	−0.0243944	+	0.169667i
$469$	−8.58197	+	2.51989i	−0.396278	+	0.116358i
$470$	7.66724	+	8.84847i	0.353664	+	0.408149i
$471$	−28.9998	+	18.6370i	−1.33624	+	0.858750i
$472$	−4.65034	+	2.98859i	−0.214049	+	0.137561i
$473$		0			0
$474$	−24.1069	+	7.07842i	−1.10727	+	0.325123i
$475$	−1.55753	+	10.8329i	−0.0714645	+	0.497046i
$476$	2.61944	−	3.02300i	0.120062	−	0.138559i
$477$	7.03890	−	15.4131i	0.322289	−	0.705715i
$478$	28.3114	+	8.31296i	1.29493	+	0.380226i
$479$	7.30995	+	16.0066i	0.334000	+	0.731359i	0.999892	−	0.0146897i	$-0.00467605\pi$
$479$	7.30995	+	16.0066i	0.334000	+	0.731359i	−0.665892	+	0.746048i	$0.731949\pi$
$480$	−3.48275	−	24.2230i	−0.158965	−	1.10563i
$481$	−8.16706	−	5.24865i	−0.372386	−	0.239318i
$482$	27.7082			1.26207
$483$		0			0
$484$	−6.43769			−0.292622
$485$	−11.6838	−	7.50871i	−0.530533	−	0.340953i
$486$	−4.11920	−	28.6497i	−0.186851	−	1.29958i
$487$	−0.536631	−	1.17506i	−0.0243171	−	0.0532470i	0.897084	−	0.441861i	$-0.145681\pi$
$487$	−0.536631	−	1.17506i	−0.0243171	−	0.0532470i	−0.921401	+	0.388614i	$0.872954\pi$
$488$	23.4808	+	6.89460i	1.06293	+	0.312104i
$489$	−9.50824	+	20.8202i	−0.429978	+	0.941520i
$490$	−18.7634	+	21.6541i	−0.847643	+	0.978232i
$491$	−5.64314	+	39.2489i	−0.254671	+	1.77128i	0.314695	+	0.949193i	$0.398098\pi$
$491$	−5.64314	+	39.2489i	−0.254671	+	1.77128i	−0.569366	+	0.822084i	$0.692811\pi$
$492$	−7.25598	+	2.13055i	−0.327125	+	0.0960525i
$493$	−10.2867	−	11.8715i	−0.463289	−	0.534664i
$494$	−8.16706	+	5.24865i	−0.367453	+	0.236148i
$495$	4.15939	−	2.67308i	0.186951	−	0.120146i
$496$	−21.3238	−	24.6089i	−0.957466	−	1.10497i
$497$	−9.20801	+	2.70372i	−0.413036	+	0.121278i
$498$	6.81525	−	47.4011i	0.305399	−	2.12409i
$499$	−21.4193	+	24.7192i	−0.958860	+	1.10658i	0.0353760	+	0.999374i	$0.488737\pi$
$499$	−21.4193	+	24.7192i	−0.958860	+	1.10658i	−0.994236	+	0.107210i	$0.965808\pi$
$500$	0.392265	−	0.858940i	0.0175426	−	0.0384130i
$501$	−22.4679	−	6.59716i	−1.00379	−	0.294740i
$502$	10.5584	+	23.1196i	0.471243	+	1.03188i
$503$	−1.28876	−	8.96355i	−0.0574632	−	0.399665i	−0.998171	−	0.0604482i	$-0.980747\pi$
$503$	−1.28876	−	8.96355i	−0.0574632	−	0.399665i	0.940708	−	0.339217i	$-0.110162\pi$
$504$	4.65034	+	2.98859i	0.207142	+	0.133122i
$505$	−14.4721			−0.644002
$506$		0			0
$507$	−8.94427			−0.397229
$508$	−10.7667	−	6.91932i	−0.477694	−	0.306995i
$509$	−4.88210	−	33.9558i	−0.216395	−	1.50506i	−0.751193	−	0.660083i	$-0.770521\pi$
$509$	−4.88210	−	33.9558i	−0.216395	−	1.50506i	0.534797	−	0.844980i	$-0.320388\pi$
$510$	25.4670	+	55.7649i	1.12770	+	2.46931i
$511$	−18.3499	−	5.38803i	−0.811753	−	0.238352i
$512$	2.19829	−	4.81359i	0.0971517	−	0.212733i
$513$	2.92863	−	3.37981i	0.129302	−	0.149222i
$514$	0.338989	−	2.35772i	0.0149522	−	0.103995i
$515$	56.4497	−	16.5751i	2.48747	−	0.730387i
$516$		0			0
$517$	1.43703	−	0.923525i	0.0632006	−	0.0406166i
$518$	5.44471	−	3.49910i	0.239227	−	0.153742i
$519$	−7.40317	−	8.54371i	−0.324963	−	0.375027i
$520$	−20.8289	+	6.11591i	−0.913406	+	0.268200i
$521$	0.652313	−	4.53694i	0.0285784	−	0.198767i	−0.970530	−	0.240979i	$-0.922531\pi$
$521$	0.652313	−	4.53694i	0.0285784	−	0.198767i	0.999109	+	0.0422122i	$0.0134406\pi$
$522$	−6.35752	+	7.33697i	−0.278261	+	0.321130i
$523$	−0.363649	+	0.796281i	−0.0159013	+	0.0348189i	−0.917416	−	0.397929i	$-0.869729\pi$
$523$	−0.363649	+	0.796281i	−0.0159013	+	0.0348189i	0.901515	+	0.432748i	$0.142456\pi$
$524$	−3.13803	−	0.921409i	−0.137086	−	0.0402519i
$525$	6.28299	+	13.7578i	0.274212	+	0.600441i
$526$	3.44122	+	23.9342i	0.150044	+	1.04358i
$527$	29.5487	+	18.9898i	1.28716	+	0.827209i
$528$	−8.29180			−0.360854
$529$		0			0
$530$	−44.3607			−1.92690
$531$	−4.15939	−	2.67308i	−0.180502	−	0.116002i
$532$	−0.217438	−	1.51231i	−0.00942712	−	0.0655671i
$533$	6.81962	+	14.9329i	0.295391	+	0.646815i
$534$	5.30395	+	1.55738i	0.229524	+	0.0673944i
$535$	18.0358	−	39.4930i	0.779757	−	1.70743i
$536$	−10.5959	+	12.2283i	−0.457672	+	0.528181i
$537$	4.04408	−	28.1272i	0.174515	−	1.21378i
$538$	15.4384	−	4.53312i	0.665597	−	0.195437i
$539$	2.73754	+	3.15929i	0.117914	+	0.136080i
$540$	−3.76220	+	2.41782i	−0.161899	+	0.104046i
$541$	−6.37972	+	4.10000i	−0.274286	+	0.176273i	−0.670551	−	0.741863i	$-0.733942\pi$
$541$	−6.37972	+	4.10000i	−0.274286	+	0.176273i	0.396265	+	0.918136i	$0.370306\pi$
$542$	8.47670	+	9.78263i	0.364105	+	0.420200i
$543$	−31.4368	+	9.23067i	−1.34908	+	0.396126i
$544$	2.52014	−	17.5280i	0.108050	−	0.751505i
$545$		0			0
$546$	−5.57338	+	12.2040i	−0.238519	+	0.522283i
$547$	−36.0203	−	10.5765i	−1.54012	−	0.452220i	−0.601989	−	0.798504i	$-0.705625\pi$
$547$	−36.0203	−	10.5765i	−1.54012	−	0.452220i	−0.938130	+	0.346285i	$0.887443\pi$
$548$	−3.56575	−	7.80791i	−0.152321	−	0.333537i
$549$	3.11506	+	21.6658i	0.132948	+	0.924672i
$550$	−5.69018	−	3.65686i	−0.242630	−	0.155929i
$551$	−6.00000			−0.255609
$552$		0			0
$553$	−8.58359			−0.365011
$554$	−8.88558	−	5.71041i	−0.377512	−	0.242612i
$555$	3.33250	+	23.1781i	0.141457	+	0.983854i
$556$	0.695306	+	1.52251i	0.0294875	+	0.0645687i
$557$	18.6299	+	5.47023i	0.789374	+	0.231781i	0.651480	−	0.758666i	$-0.274148\pi$
$557$	18.6299	+	5.47023i	0.789374	+	0.231781i	0.137894	+	0.990447i	$0.455967\pi$
$558$	9.01791	−	19.7465i	0.381759	−	0.835935i
$559$		0			0
$560$	2.76324	−	19.2188i	0.116768	−	0.812142i
$561$	8.58197	−	2.51989i	0.362331	−	0.106390i
$562$	14.0248	+	16.1854i	0.591599	+	0.682742i
$563$	12.6657	−	8.13974i	0.533795	−	0.343049i	−0.245813	−	0.969317i	$-0.579055\pi$
$563$	12.6657	−	8.13974i	0.533795	−	0.343049i	0.779608	+	0.626268i	$0.215418\pi$
$564$	2.59962	−	1.67067i	0.109464	−	0.0703480i
$565$	28.0495	+	32.3709i	1.18005	+	1.36185i
$566$	−22.1879	+	6.51496i	−0.932627	+	0.273844i
$567$	1.93502	−	13.4584i	0.0812632	−	0.565198i
$568$	−11.3688	+	13.1203i	−0.477025	+	0.550517i
$569$	−0.0749159	+	0.164043i	−0.00314064	+	0.00687704i	−0.911196	−	0.411974i	$-0.864840\pi$
$569$	−0.0749159	+	0.164043i	−0.00314064	+	0.00687704i	0.908055	+	0.418851i	$0.137567\pi$
$570$	22.4679	+	6.59716i	0.941076	+	0.276325i
$571$	11.5104	+	25.2043i	0.481695	+	1.05477i	0.981994	+	0.188913i	$0.0604964\pi$
$571$	11.5104	+	25.2043i	0.481695	+	1.05477i	−0.500298	+	0.865853i	$0.666776\pi$
$572$	−0.201576	−	1.40199i	−0.00842831	−	0.0586202i
$573$	7.18516	+	4.61762i	0.300164	+	0.192904i
$574$	−10.9443			−0.456805
$575$		0			0
$576$	8.47214			0.353006
$577$	−10.8425	−	6.96807i	−0.451381	−	0.290085i	0.295131	−	0.955457i	$-0.404637\pi$
$577$	−10.8425	−	6.96807i	−0.451381	−	0.290085i	−0.746512	+	0.665372i	$0.768273\pi$
$578$	2.39859	+	16.6826i	0.0997681	+	0.693903i
$579$	−7.37940	−	16.1586i	−0.306678	−	0.671530i
$580$	5.75696	+	1.69040i	0.239045	+	0.0701898i
$581$	6.79647	−	14.8822i	0.281965	−	0.617418i
$582$	−10.1686	+	11.7352i	−0.421502	+	0.486439i
$583$	−0.921081	+	6.40626i	−0.0381473	+	0.265320i
$584$	−33.1953	+	9.74703i	−1.37363	+	0.403335i
$585$	−12.7150	−	14.6739i	−0.525702	−	0.606693i
$586$	−14.2544	+	9.16077i	−0.588845	+	0.378428i
$587$	−9.49926	+	6.10481i	−0.392077	+	0.251972i	−0.721795	−	0.692107i	$-0.756683\pi$
$587$	−9.49926	+	6.10481i	−0.392077	+	0.251972i	0.329718	+	0.944079i	$0.393046\pi$
$588$	4.95226	+	5.71521i	0.204228	+	0.235691i
$589$	12.8729	−	3.77984i	0.530421	−	0.155746i
$590$	−1.84216	+	12.8125i	−0.0758406	+	0.527483i
$591$	−10.9415	+	12.6272i	−0.450075	+	0.519414i
$592$	6.52542	−	14.2887i	0.268193	−	0.587261i
$593$	−14.3389	−	4.21029i	−0.588829	−	0.172896i	−0.0262728	−	0.999655i	$-0.508364\pi$
$593$	−14.3389	−	4.21029i	−0.588829	−	0.172896i	−0.562556	+	0.826759i	$0.690182\pi$
$594$	1.14818	+	2.51416i	0.0471103	+	0.103157i
$595$	2.98068	+	20.7311i	0.122196	+	0.849892i
$596$	6.18113	+	3.97237i	0.253189	+	0.162715i
$597$	57.4853			2.35272
$598$		0			0
$599$	−1.88854			−0.0771638			−0.0385819	−	0.999255i	$-0.512284\pi$
$599$	−1.88854			−0.0771638			−0.0385819	+	0.999255i	$0.512284\pi$
$600$	23.0173	+	14.7923i	0.939676	+	0.603893i
$601$	−1.58133	−	10.9984i	−0.0645036	−	0.448632i	−0.996321	−	0.0857040i	$-0.972686\pi$
$601$	−1.58133	−	10.9984i	−0.0645036	−	0.448632i	0.931817	−	0.362928i	$-0.118223\pi$
$602$		0			0
$603$	−13.8859	−	4.07727i	−0.565478	−	0.166039i
$604$	−0.0606082	+	0.132714i	−0.00246611	+	0.00540004i
$605$	22.0742	−	25.4750i	0.897443	−	1.03570i
$606$	−2.30270	+	16.0156i	−0.0935409	+	0.650591i
$607$	−16.8179	+	4.93817i	−0.682616	+	0.200434i	−0.604613	−	0.796519i	$-0.706672\pi$
$607$	−16.8179	+	4.93817i	−0.682616	+	0.200434i	−0.0780025	+	0.996953i	$0.524854\pi$
$608$	−4.42943	−	5.11184i	−0.179637	−	0.207312i
$609$	−6.97550	+	4.48288i	−0.282662	+	0.181656i
$610$	48.2080	−	30.9814i	1.95188	−	1.25440i
$611$	−4.39294	−	5.06972i	−0.177719	−	0.205099i
$612$	6.20997	−	1.82341i	0.251023	−	0.0737070i
$613$	−1.09699	+	7.62975i	−0.0443071	+	0.308163i	0.955602	+	0.294661i	$0.0952068\pi$
$613$	−1.09699	+	7.62975i	−0.0443071	+	0.308163i	−0.999909	+	0.0135013i	$0.995702\pi$
$614$	19.5728	−	22.5883i	0.789895	−	0.911588i
$615$	16.4491	−	36.0185i	0.663291	−	1.45240i
$616$	−2.02593	−	0.594866i	−0.0816269	−	0.0239678i
$617$	6.84277	+	14.9836i	0.275480	+	0.603216i	0.995914	−	0.0903069i	$-0.0287848\pi$
$617$	6.84277	+	14.9836i	0.275480	+	0.603216i	−0.720434	+	0.693523i	$0.756058\pi$
$618$	−9.36106	−	65.1076i	−0.376557	−	2.61901i
$619$	6.23908	+	4.00961i	0.250770	+	0.161160i	0.659987	−	0.751277i	$-0.270562\pi$
$619$	6.23908	+	4.00961i	0.250770	+	0.161160i	−0.409217	+	0.912437i	$0.634198\pi$
$620$	−13.4164			−0.538816
$621$		0			0
$622$	14.8541			0.595595
$623$	1.58874	+	1.02102i	0.0636517	+	0.0409065i
$624$	4.63410	+	32.2309i	0.185512	+	1.29027i
$625$	−9.31211	−	20.3907i	−0.372484	−	0.815627i
$626$	31.6098	+	9.28147i	1.26338	+	0.370962i
$627$	1.41923	−	3.10767i	0.0566785	−	0.124109i
$628$	6.23942	−	7.20068i	0.248980	−	0.287338i
$629$	−2.41142	+	16.7718i	−0.0961497	+	0.668736i
$630$	12.4199	−	3.64682i	0.494822	−	0.145293i
$631$	−21.1917	−	24.4566i	−0.843630	−	0.973601i	0.156271	−	0.987714i	$-0.450053\pi$
$631$	−21.1917	−	24.4566i	−0.843630	−	0.973601i	−0.999900	+	0.0141136i	$0.995507\pi$
$632$	−13.0629	+	8.39500i	−0.519613	+	0.333935i
$633$	6.42661	−	4.13013i	0.255435	−	0.164158i
$634$	−1.50081	−	1.73202i	−0.0596047	−	0.0687875i
$635$	64.2987	−	18.8798i	2.55161	−	0.749222i
$636$	−1.66625	+	11.5890i	−0.0660712	+	0.459535i
$637$	10.7505	−	12.4067i	0.425949	−	0.491571i
$638$	1.54044	−	3.37310i	0.0609867	−	0.133542i
$639$	−14.8989	−	4.37470i	−0.589390	−	0.173061i
$640$	−18.3069	−	40.0865i	−0.723643	−	1.58456i
$641$	6.44757	+	44.8438i	0.254664	+	1.77122i	0.569415	+	0.822050i	$0.307170\pi$
$641$	6.44757	+	44.8438i	0.254664	+	1.77122i	−0.314752	+	0.949174i	$0.601921\pi$
$642$	−40.8353	−	26.2433i	−1.61164	−	1.03574i
$643$	−19.5967			−0.772820			−0.386410	−	0.922327i	$-0.626285\pi$
$643$	−19.5967			−0.772820			−0.386410	+	0.922327i	$0.626285\pi$
$644$		0			0
$645$		0			0
$646$	14.2544	+	9.16077i	0.560833	+	0.360425i
$647$	0.954677	+	6.63992i	0.0375322	+	0.261042i	0.999944	−	0.0105510i	$-0.00335854\pi$
$647$	0.954677	+	6.63992i	0.0375322	+	0.261042i	−0.962412	+	0.271593i	$0.912449\pi$
$648$	−10.2179	−	22.3740i	−0.401395	−	0.878933i
$649$	1.81204	+	0.532064i	0.0711290	+	0.0208853i
$650$	−11.0344	+	24.1619i	−0.432804	+	0.947709i
$651$	12.1418	−	14.0124i	0.475874	−	0.549188i
$652$	0.900318	−	6.26185i	0.0352592	−	0.245233i
$653$	−23.3204	+	6.84750i	−0.912599	+	0.267963i	−0.704134	−	0.710067i	$-0.748665\pi$
$653$	−23.3204	+	6.84750i	−0.912599	+	0.267963i	−0.208465	+	0.978030i	$0.566847\pi$
$654$		0			0
$655$	14.4061	−	9.25826i	0.562894	−	0.361750i
$656$	−22.3456	+	14.3607i	−0.872450	+	0.560690i
$657$	−20.2642	−	23.3861i	−0.790581	−	0.912379i
$658$	4.29098	−	1.25995i	0.167280	−	0.0491178i
$659$	2.93915	−	20.4423i	0.114493	−	0.796318i	−0.848963	−	0.528452i	$-0.822773\pi$
$659$	2.93915	−	20.4423i	0.114493	−	0.796318i	0.963456	−	0.267865i	$-0.0863183\pi$
$660$	−2.23727	+	2.58195i	−0.0870857	+	0.100502i
$661$	2.10023	−	4.59885i	0.0816893	−	0.178875i	−0.864380	−	0.502839i	$-0.832289\pi$
$661$	2.10023	−	4.59885i	0.0816893	−	0.178875i	0.946069	+	0.323965i	$0.105016\pi$
$662$	18.0904	+	5.31181i	0.703103	+	0.206450i
$663$	−14.5913	−	31.9505i	−0.566679	−	1.24085i
$664$	−4.21206	−	29.2955i	−0.163459	−	1.13689i
$665$	6.73003	+	4.32513i	0.260979	+	0.167721i
$666$	10.4721			0.405787
$667$		0			0
$668$	6.47214			0.250414
$669$	7.52440	+	4.83564i	0.290910	+	0.186957i
$670$	5.39210	+	37.5029i	0.208315	+	1.44886i
$671$	−3.47315	−	7.60514i	−0.134080	−	0.293593i
$672$	−8.96888	−	2.63350i	−0.345982	−	0.101590i
$673$	1.24625	−	2.72890i	0.0480392	−	0.105191i	−0.884091	−	0.467316i	$-0.845221\pi$
$673$	1.24625	−	2.72890i	0.0480392	−	0.105191i	0.932130	+	0.362124i	$0.117948\pi$
$674$	3.61998	−	4.17768i	0.139436	−	0.160918i
$675$	1.74137	−	12.1115i	0.0670255	−	0.466173i
$676$	2.37200	−	0.696481i	0.0912307	−	0.0267877i
$677$	11.7875	+	13.6035i	0.453030	+	0.522825i	0.935614	−	0.353025i	$-0.114847\pi$
$677$	11.7875	+	13.6035i	0.453030	+	0.522825i	−0.482584	+	0.875850i	$0.660302\pi$
$678$	40.2864	−	25.8905i	1.54719	−	0.994319i
$679$	−4.46281	+	2.86807i	−0.171267	+	0.110067i
$680$	24.8117	+	28.6343i	0.951486	+	1.09807i
$681$	21.8418	−	6.41334i	0.836981	−	0.245760i
$682$	−1.18005	+	8.20740i	−0.0451863	+	0.314277i
$683$	14.7977	−	17.0775i	0.566219	−	0.653452i	−0.398365	−	0.917227i	$-0.630422\pi$
$683$	14.7977	−	17.0775i	0.566219	−	0.653452i	0.964584	+	0.263775i	$0.0849677\pi$
$684$	1.02696	−	2.24873i	0.0392669	−	0.0859825i
$685$	43.1237	+	12.6623i	1.64767	+	0.483800i
$686$	10.3622	+	22.6901i	0.395632	+	0.866312i
$687$	−3.81871	−	26.5597i	−0.145693	−	1.01332i
$688$		0			0
$689$	25.4164			0.968288
$690$		0			0
$691$	24.9443			0.948925			0.474462	−	0.880276i	$-0.342642\pi$
$691$	24.9443			0.948925			0.474462	+	0.880276i	$0.342642\pi$
$692$	2.62859	+	1.68929i	0.0999240	+	0.0642173i
$693$	−0.268768	−	1.86932i	−0.0102096	−	0.0710096i
$694$	−17.4011	−	38.1032i	−0.660538	−	1.44638i
$695$	−8.40893	−	2.46908i	−0.318969	−	0.0936577i
$696$	−6.23123	+	13.6445i	−0.236194	+	0.517193i
$697$	18.7634	−	21.6541i	0.710714	−	0.820207i
$698$	−0.556427	+	3.87003i	−0.0210611	+	0.146483i
$699$	33.1953	−	9.74703i	1.25556	−	0.368667i
$700$	−2.73754	−	3.15929i	−0.103469	−	0.119410i
$701$	22.0243	−	14.1542i	0.831846	−	0.534595i	−0.0540177	−	0.998540i	$-0.517203\pi$
$701$	22.0243	−	14.1542i	0.831846	−	0.534595i	0.885864	+	0.463945i	$0.153566\pi$
$702$	9.13105	−	5.86817i	0.344629	−	0.221480i
$703$	4.23835	+	4.89131i	0.159852	+	0.184479i
$704$	−3.10498	+	0.911706i	−0.117024	+	0.0343612i
$705$	−2.30270	+	16.0156i	−0.0867248	+	0.603184i
$706$	−37.4677	+	43.2400i	−1.41012	+	1.62736i
$707$	−2.29636	+	5.02832i	−0.0863634	+	0.189110i
$708$	3.27802	+	0.962513i	0.123196	+	0.0361735i
$709$	−6.67526	−	14.6168i	−0.250694	−	0.548944i	0.741887	−	0.670525i	$-0.233931\pi$
$709$	−6.67526	−	14.6168i	−0.250694	−	0.548944i	−0.992582	+	0.121580i	$0.961204\pi$
$710$	5.78545	+	40.2387i	0.217124	+	1.51013i
$711$	−11.6838	−	7.50871i	−0.438176	−	0.281599i
$712$	3.41641			0.128035
$713$		0			0
$714$	23.4164			0.876337
$715$	6.23908	+	4.00961i	0.233328	+	0.149951i
$716$	1.11776	+	7.77416i	0.0417725	+	0.290534i
$717$	16.9394	+	37.0921i	0.632614	+	1.38523i
$718$	−24.6668	−	7.24284i	−0.920558	−	0.270300i
$719$	−8.70056	+	19.0516i	−0.324476	+	0.710504i	−0.999631	−	0.0271724i	$-0.991350\pi$
$719$	−8.70056	+	19.0516i	−0.324476	+	0.710504i	0.675154	+	0.737676i	$0.264077\pi$
$720$	20.5734	−	23.7429i	0.766724	−	0.884847i
$721$	3.19812	−	22.2434i	0.119104	−	0.828388i
$722$	−23.2874	+	6.83779i	−0.866667	+	0.254476i
$723$	25.0758	+	28.9390i	0.932579	+	1.07625i
$724$	7.61816	−	4.89590i	0.283127	−	0.181955i
$725$	−13.8104	+	8.87538i	−0.512904	+	0.329623i
$726$	−24.6797	−	28.4819i	−0.915949	−	1.05706i
$727$	−13.7129	+	4.02646i	−0.508582	+	0.149333i	−0.525949	−	0.850516i	$-0.676290\pi$
$727$	−13.7129	+	4.02646i	−0.508582	+	0.149333i	0.0173669	+	0.999849i	$0.494472\pi$
$728$	−1.18005	+	8.20740i	−0.0437354	+	0.304186i
$729$	4.58403	−	5.29025i	0.169779	−	0.195935i
$730$	−33.6541	+	73.6922i	−1.24559	+	2.72747i
$731$		0			0
$732$	−6.28299	−	13.7578i	−0.232226	−	0.508504i
$733$	−3.80890	−	26.4915i	−0.140685	−	0.978486i	−0.930800	−	0.365528i	$-0.880888\pi$
$733$	−3.80890	−	26.4915i	−0.140685	−	0.978486i	0.790115	−	0.612958i	$-0.210021\pi$
$734$	24.7467	+	15.9037i	0.913416	+	0.587017i
$735$	−39.5967			−1.46055
$736$		0			0
$737$	5.52786			0.203621
$738$	−14.8971	−	9.57378i	−0.548369	−	0.352416i
$739$	−6.99909	−	48.6798i	−0.257466	−	1.79071i	−0.550731	−	0.834683i	$-0.685651\pi$
$739$	−6.99909	−	48.6798i	−0.257466	−	1.79071i	0.293265	−	0.956031i	$-0.405258\pi$
$740$	−2.68862	−	5.88726i	−0.0988357	−	0.216420i
$741$	−12.8729	−	3.77984i	−0.472900	−	0.138856i
$742$	−7.03890	+	15.4131i	−0.258406	+	0.565831i
$743$	0.573257	−	0.661574i	0.0210308	−	0.0242708i	−0.745137	−	0.666912i	$-0.767616\pi$
$743$	0.573257	−	0.661574i	0.0210308	−	0.0242708i	0.766168	+	0.642641i	$0.222161\pi$
$744$	4.77338	−	33.1996i	0.175001	−	1.21716i
$745$	−36.9137	+	10.8389i	−1.35241	+	0.397105i
$746$	6.04834	+	6.98015i	0.221445	+	0.255562i
$747$	22.2698	−	14.3119i	0.814809	−	0.523646i
$748$	−2.07969	+	1.33654i	−0.0760411	+	0.0488687i
$749$	−10.8599	−	12.5330i	−0.396814	−	0.457947i
$750$	5.30395	−	1.55738i	0.193673	−	0.0568675i
$751$	−6.31318	+	43.9092i	−0.230371	+	1.60227i	0.466133	+	0.884715i	$0.345647\pi$
$751$	−6.31318	+	43.9092i	−0.230371	+	1.60227i	−0.696504	+	0.717553i	$0.745262\pi$
$752$	7.10793	−	8.20298i	0.259199	−	0.299132i
$753$	−14.5913	+	31.9505i	−0.531736	+	1.16434i
$754$	−13.9724	−	4.10268i	−0.508846	−	0.149411i
$755$	−0.317349	−	0.694897i	−0.0115495	−	0.0252899i
$756$	0.243103	+	1.69082i	0.00884156	+	0.0614944i
$757$	40.0409	+	25.7327i	1.45531	+	0.935273i	0.998966	+	0.0454705i	$0.0144787\pi$
$757$	40.0409	+	25.7327i	1.45531	+	0.935273i	0.456347	+	0.889802i	$0.349158\pi$
$758$	−32.9443			−1.19659
$759$		0			0
$760$	14.4721			0.524960
$761$	−13.7166	−	8.81512i	−0.497226	−	0.319548i	0.267880	−	0.963452i	$-0.413677\pi$
$761$	−13.7166	−	8.81512i	−0.497226	−	0.319548i	−0.765106	+	0.643904i	$0.777313\pi$
$762$	−10.6627	−	74.1604i	−0.386267	−	2.68655i
$763$		0			0
$764$	−2.26506	−	0.665080i	−0.0819468	−	0.0240618i
$765$	−14.0778	+	30.8261i	−0.508984	+	1.11452i
$766$	−26.4306	+	30.5026i	−0.954977	+	1.10210i
$767$	1.05546	−	7.34092i	0.0381106	−	0.265065i
$768$	−29.0978	+	8.54389i	−1.04998	+	0.308301i
$769$	11.2142	+	12.9419i	0.404396	+	0.466698i	0.921020	−	0.389514i	$-0.127357\pi$
$769$	11.2142	+	12.9419i	0.404396	+	0.466698i	−0.516625	+	0.856212i	$0.672812\pi$
$770$	−4.15939	+	2.67308i	−0.149894	+	0.0963309i
$771$	2.76924	−	1.77968i	0.0997316	−	0.0640936i
$772$	3.21525	+	3.71060i	0.115720	+	0.133547i
$773$	−13.8859	+	4.07727i	−0.499442	+	0.146649i	−0.521744	−	0.853102i	$-0.674718\pi$
$773$	−13.8859	+	4.07727i	−0.499442	+	0.146649i	0.0223026	+	0.999751i	$0.492900\pi$
$774$		0			0
$775$	24.0388	−	27.7422i	0.863498	−	0.996530i
$776$	−3.98663	+	8.72951i	−0.143112	+	0.313371i
$777$	8.58197	+	2.51989i	0.307876	+	0.0904006i
$778$	23.1706	+	50.7366i	0.830708	+	1.81900i
$779$	−1.55753	−	10.8329i	−0.0558044	−	0.388128i
$780$	11.2866	+	7.25346i	0.404125	+	0.259715i
$781$	5.93112			0.212232
$782$		0			0
$783$	6.70820			0.239732
$784$	22.3456	+	14.3607i	0.798058	+	0.512881i
$785$	7.09988	+	49.3808i	0.253406	+	1.76247i
$786$	−7.95349	−	17.4157i	−0.283692	−	0.621198i
$787$	49.3337	+	14.4857i	1.75856	+	0.516359i	0.992046	−	0.125874i	$-0.0401736\pi$
$787$	49.3337	+	14.4857i	1.75856	+	0.516359i	0.766510	+	0.642233i	$0.221992\pi$
$788$	1.91840	−	4.20071i	0.0683402	−	0.149644i
$789$	−21.8831	+	25.2544i	−0.779059	+	0.899082i
$790$	−5.17466	+	35.9906i	−0.184106	+	1.28049i
$791$	15.6980	−	4.60934i	0.558155	−	0.163889i
$792$	−2.23727	−	2.58195i	−0.0794980	−	0.0917456i
$793$	−27.6207	+	17.7508i	−0.980841	+	0.630348i
$794$	−3.28916	+	2.11381i	−0.116728	+	0.0750164i
$795$	−40.1462	−	46.3312i	−1.42384	−	1.64320i
$796$	−15.2449	+	4.47632i	−0.540343	+	0.158659i
$797$	1.47448	−	10.2552i	0.0522287	−	0.363259i	−0.946900	−	0.321528i	$-0.895804\pi$
$797$	1.47448	−	10.2552i	0.0522287	−	0.363259i	0.999129	−	0.0417309i	$-0.0132872\pi$
$798$	5.85725	−	6.75963i	0.207344	−	0.239288i
$799$	−4.86376	+	10.6502i	−0.172068	+	0.376775i
$800$	−17.7569	−	5.21391i	−0.627802	−	0.184339i
$801$	1.26940	+	2.77959i	0.0448519	+	0.0982119i
$802$	−1.88369	−	13.1013i	−0.0665154	−	0.462625i
$803$	9.94333	+	6.39019i	0.350893	+	0.225505i
$804$	10.0000			0.352673
$805$		0			0
$806$	32.5623			1.14696
$807$	18.7062	+	12.0217i	0.658488	+	0.423185i
$808$	1.42315	+	9.89821i	0.0500662	+	0.348218i
$809$	19.8936	+	43.5610i	0.699422	+	1.53152i	0.840670	+	0.541547i	$0.182161\pi$
$809$	19.8936	+	43.5610i	0.699422	+	1.53152i	−0.141248	+	0.989974i	$0.545111\pi$
$810$	−55.2637	−	16.2269i	−1.94177	−	0.570154i
$811$	−23.1189	+	50.6233i	−0.811813	+	1.77762i	−0.212402	+	0.977182i	$0.568129\pi$
$811$	−23.1189	+	50.6233i	−0.811813	+	1.77762i	−0.599411	+	0.800441i	$0.704599\pi$
$812$	1.50081	−	1.73202i	0.0526680	−	0.0607821i
$813$	−2.54581	+	17.7065i	−0.0892853	+	0.620993i
$814$	−3.83797	+	1.12693i	−0.134521	+	0.0394989i
$815$	21.6920	+	25.0339i	0.759838	+	0.876900i
$816$	47.8108	−	30.7261i	1.67371	−	1.07563i
$817$		0			0
$818$	−24.7527	−	28.5661i	−0.865457	−	0.998790i
$819$	−7.11599	+	2.08944i	−0.248653	+	0.0730111i
$820$	−1.55753	+	10.8329i	−0.0543914	+	0.378300i
$821$	13.7886	−	15.9129i	0.481224	−	0.555363i	−0.462275	−	0.886737i	$-0.652967\pi$
$821$	13.7886	−	15.9129i	0.481224	−	0.555363i	0.943499	+	0.331374i	$0.107512\pi$
$822$	20.8743	−	45.7083i	0.728074	−	1.59426i
$823$	−26.4254	−	7.75920i	−0.921132	−	0.270469i	−0.213412	−	0.976962i	$-0.568458\pi$
$823$	−26.4254	−	7.75920i	−0.921132	−	0.270469i	−0.707720	+	0.706493i	$0.750276\pi$
$824$	−16.8876	−	36.9788i	−0.588309	−	1.28822i
$825$	−1.33029	−	9.25238i	−0.0463148	−	0.322127i
$826$	4.15939	+	2.67308i	0.144724	+	0.0930082i
$827$	−10.4721			−0.364152			−0.182076	−	0.983284i	$-0.558282\pi$
$827$	−10.4721			−0.364152			−0.182076	+	0.983284i	$0.558282\pi$
$828$		0			0
$829$	−40.2492			−1.39791			−0.698957	−	0.715164i	$-0.746352\pi$
$829$	−40.2492			−1.39791			−0.698957	+	0.715164i	$0.746352\pi$
$830$	−58.3030	−	37.4691i	−2.02373	−	1.30057i
$831$	−2.07733	−	14.4482i	−0.0720619	−	0.501202i
$832$	5.27918	+	11.5598i	0.183023	+	0.400764i
$833$	−27.4918	−	8.07234i	−0.952536	−	0.279690i
$834$	−4.07039	+	8.91291i	−0.140946	+	0.308629i
$835$	−22.1923	+	25.6113i	−0.767995	+	0.886314i
$836$	−0.134384	+	0.934661i	−0.00464776	+	0.0323259i
$837$	−14.3924	+	4.22599i	−0.497474	+	0.146072i
$838$	33.2884	+	38.4169i	1.14993	+	1.32709i
$839$	0.736423	−	0.473271i	0.0254242	−	0.0163391i	−0.527867	−	0.849327i	$-0.677008\pi$
$839$	0.736423	−	0.473271i	0.0254242	−	0.0163391i	0.553291	+	0.832988i	$0.313372\pi$
$840$	16.8251	−	10.8128i	0.580520	−	0.373078i
$841$	13.0972	+	15.1150i	0.451628	+	0.521207i
$842$	36.8068	−	10.8075i	1.26845	−	0.372449i
$843$	−4.21206	+	29.2955i	−0.145071	+	1.00899i
$844$	−1.38271	+	1.59573i	−0.0475948	+	0.0549274i
$845$	−5.37724	+	11.7745i	−0.184983	+	0.405056i
$846$	6.94296	+	2.03864i	0.238704	+	0.0700897i
$847$	−5.34863	−	11.7119i	−0.183781	−	0.402424i
$848$	5.85264	+	40.7060i	0.200981	+	1.39785i
$849$	−26.8843	−	17.2775i	−0.922667	−	0.592962i
$850$	46.3607			1.59016
$851$		0			0
$852$	10.7295			0.367586
$853$	−31.4767	−	20.2288i	−1.07774	−	0.692622i	−0.123707	−	0.992319i	$-0.539478\pi$
$853$	−31.4767	−	20.2288i	−1.07774	−	0.692622i	−0.954035	+	0.299697i	$0.903115\pi$
$854$	−3.11506	−	21.6658i	−0.106595	−	0.741387i
$855$	5.37724	+	11.7745i	0.183898	+	0.402680i
$856$	−28.7848	−	8.45198i	−0.983844	−	0.288883i
$857$	−3.10404	+	6.79689i	−0.106032	+	0.232177i	−0.955210	−	0.295929i	$-0.904371\pi$
$857$	−3.10404	+	6.79689i	−0.106032	+	0.232177i	0.849178	+	0.528107i	$0.177098\pi$
$858$	5.42997	−	6.26652i	0.185376	−	0.213936i
$859$	0.468471	−	3.25829i	0.0159840	−	0.111171i	−0.980267	−	0.197676i	$-0.936661\pi$
$859$	0.468471	−	3.25829i	0.0159840	−	0.111171i	0.996251	+	0.0865045i	$0.0275697\pi$
$860$		0			0
$861$	−9.90451	−	11.4304i	−0.337545	−	0.389548i
$862$	−36.0333	+	23.1572i	−1.22730	+	0.788736i
$863$	38.3115	−	24.6213i	1.30414	−	0.838120i	0.310484	−	0.950579i	$-0.399509\pi$
$863$	38.3115	−	24.6213i	1.30414	−	0.838120i	0.993656	+	0.112459i	$0.0358726\pi$
$864$	4.95226	+	5.71521i	0.168479	+	0.194435i
$865$	−15.6980	+	4.60934i	−0.533747	+	0.156722i
$866$	−9.25234	+	64.3514i	−0.314407	+	2.18675i
$867$	−15.2529	+	17.6028i	−0.518015	+	0.597821i
$868$	−2.12884	+	4.66151i	−0.0722576	+	0.158222i
$869$	5.09006	+	1.49458i	0.172669	+	0.0507001i
$870$	14.5913	+	31.9505i	0.494691	+	1.08322i
$871$	−3.08940	−	21.4872i	−0.104680	−	0.728068i
$872$		0			0
$873$	−8.58359			−0.290511
$874$		0			0
$875$	1.88854			0.0638444
$876$	17.9877	+	11.5600i	0.607747	+	0.390575i
$877$	3.91762	+	27.2477i	0.132289	+	0.920088i	0.942561	+	0.334035i	$0.108410\pi$
$877$	3.91762	+	27.2477i	0.132289	+	0.920088i	−0.810272	+	0.586054i	$0.800681\pi$
$878$	3.55691	+	7.78855i	0.120040	+	0.262851i
$879$	−22.4679	−	6.59716i	−0.757823	−	0.222517i
$880$	−4.98498	+	10.9156i	−0.168044	+	0.367964i
$881$	14.2888	−	16.4902i	0.481403	−	0.555569i	−0.462145	−	0.886804i	$-0.652920\pi$
$881$	14.2888	−	16.4902i	0.481403	−	0.555569i	0.943548	+	0.331236i	$0.107465\pi$
$882$	−2.52014	+	17.5280i	−0.0848575	+	0.590197i
$883$	−3.83797	+	1.12693i	−0.129158	+	0.0379242i	−0.345673	−	0.938355i	$-0.612349\pi$
$883$	−3.83797	+	1.12693i	−0.129158	+	0.0379242i	0.216515	+	0.976279i	$0.430531\pi$
$884$	6.35752	+	7.33697i	0.213827	+	0.246769i
$885$	−15.0488	+	9.67128i	−0.505860	+	0.325096i
$886$	2.89197	−	1.85856i	0.0971577	−	0.0624395i
$887$	22.9652	+	26.5033i	0.771097	+	0.889894i	0.996433	−	0.0843876i	$-0.0268934\pi$
$887$	22.9652	+	26.5033i	0.771097	+	0.889894i	−0.225336	+	0.974281i	$0.572348\pi$
$888$	15.5249	−	4.55853i	0.520982	−	0.152974i
$889$	3.64280	−	25.3362i	0.122175	−	0.849749i
$890$	5.23889	−	6.04600i	0.175608	−	0.202662i
$891$	−3.49084	+	7.64387i	−0.116947	+	0.256079i
$892$	−2.37200	−	0.696481i	−0.0794203	−	0.0233199i
$893$	1.85779	+	4.06800i	0.0621687	+	0.136130i
$894$	6.12141	+	42.5753i	0.204731	+	1.42393i
$895$	−34.5962	−	22.2336i	−1.15642	−	0.743189i
$896$	−16.8328			−0.562345
$897$		0			0
$898$	−4.76393			−0.158974
$899$	16.9299	+	10.8802i	0.564644	+	0.362875i
$900$	−0.962608	−	6.69508i	−0.0320869	−	0.223169i
$901$	−18.4281	−	40.3519i	−0.613929	−	1.34432i
$902$	6.48995	+	1.90562i	0.216092	+	0.0634502i
$903$		0			0
$904$	19.3817	−	22.3677i	0.644627	−	0.743940i
$905$	−6.74806	+	46.9338i	−0.224313	+	1.56013i
$906$	−0.819505	+	0.240628i	−0.0272262	+	0.00799434i
$907$	26.3576	+	30.4183i	0.875191	+	1.01002i	0.999841	+	0.0178234i	$0.00567368\pi$
$907$	26.3576	+	30.4183i	0.875191	+	1.01002i	−0.124650	+	0.992201i	$0.539781\pi$
$908$	−5.29300	+	3.40160i	−0.175654	+	0.112886i
$909$	−7.52440	+	4.83564i	−0.249569	+	0.160388i
$910$	12.7150	+	14.6739i	0.421500	+	0.486436i
$911$	−30.0369	+	8.81962i	−0.995166	+	0.292207i	−0.738471	−	0.674285i	$-0.764452\pi$
$911$	−30.0369	+	8.81962i	−0.995166	+	0.292207i	−0.256695	+	0.966492i	$0.582634\pi$
$912$	3.08940	−	21.4872i	0.102300	−	0.711514i
$913$	−6.62160	+	7.64173i	−0.219143	+	0.252904i
$914$	23.6092	−	51.6969i	0.780923	−	1.70998i
$915$	75.9856	+	22.3114i	2.51201	+	0.737592i
$916$	3.08089	+	6.74620i	0.101795	+	0.222901i
$917$	−0.930884	−	6.47444i	−0.0307405	−	0.213805i
$918$	−15.9369	−	10.2420i	−0.525997	−	0.338038i
$919$	−0.875388			−0.0288764			−0.0144382	−	0.999896i	$-0.504596\pi$
$919$	−0.875388			−0.0288764			−0.0144382	+	0.999896i	$0.504596\pi$
$920$		0			0
$921$	41.3050			1.36104
$922$	−10.1709	−	6.53644i	−0.334961	−	0.215266i
$923$	−3.31477	−	23.0547i	−0.109107	−	0.758855i
$924$	0.542097	+	1.18703i	0.0178337	+	0.0390503i
$925$	16.9909	+	4.98898i	0.558657	+	0.164037i
$926$	13.4431	−	29.4363i	0.441768	−	0.967337i
$927$	23.8112	−	27.4796i	0.782062	−	0.902547i
$928$	1.44391	−	10.0426i	0.0473987	−	0.329665i
$929$	40.2452	−	11.8171i	1.32040	−	0.387705i	0.455765	−	0.890100i	$-0.349366\pi$
$929$	40.2452	−	11.8171i	1.32040	−	0.387705i	0.864638	+	0.502395i	$0.167548\pi$
$930$	−51.4334	−	59.3573i	−1.68657	−	1.94640i
$931$	−9.20691	+	5.91692i	−0.301744	+	0.193919i
$932$	−8.04432	+	5.16977i	−0.263501	+	0.169342i
$933$	13.4429	+	15.5139i	0.440101	+	0.507903i
$934$	48.0407	−	14.1060i	1.57194	−	0.461564i
$935$	1.84216	−	12.8125i	0.0602451	−	0.419014i
$936$	−8.78588	+	10.1394i	−0.287175	+	0.331418i
$937$	−4.91006	+	10.7515i	−0.160405	+	0.351238i	−0.972720	−	0.231981i	$-0.925479\pi$
$937$	−4.91006	+	10.7515i	−0.160405	+	0.351238i	0.812316	+	0.583218i	$0.198207\pi$
$938$	13.8859	+	4.07727i	0.453391	+	0.133128i
$939$	18.9130	+	41.4136i	0.617201	+	1.35148i
$940$	−0.636451	−	4.42662i	−0.0207588	−	0.144380i
$941$	20.7390	+	13.3281i	0.676072	+	0.434485i	0.833110	−	0.553108i	$-0.186558\pi$
$941$	20.7390	+	13.3281i	0.676072	+	0.434485i	−0.157038	+	0.987593i	$0.550195\pi$
$942$	55.7771			1.81732
$943$		0			0
$944$	12.0000			0.390567
$945$	−7.52440	−	4.83564i	−0.244769	−	0.157303i
$946$		0			0
$947$	−13.7836	−	30.1819i	−0.447907	−	0.980780i	−0.990079	−	0.140512i	$-0.955125\pi$
$947$	−13.7836	−	30.1819i	−0.447907	−	0.980780i	0.542172	−	0.840268i	$-0.317602\pi$
$948$	9.20801	+	2.70372i	0.299062	+	0.0878126i
$949$	19.2821	−	42.2218i	0.625923	−	1.37058i
$950$	11.5964	−	13.3830i	0.376237	−	0.434201i
$951$	0.450737	−	3.13495i	0.0146162	−	0.101658i
$952$	13.8859	−	4.07727i	0.450045	−	0.132145i
$953$	7.54915	+	8.71218i	0.244541	+	0.282215i	0.864730	−	0.502237i	$-0.167490\pi$
$953$	7.54915	+	8.71218i	0.244541	+	0.282215i	−0.620189	+	0.784452i	$0.712944\pi$
$954$	−23.0641	+	14.8224i	−0.746729	+	0.479894i
$955$	10.3985	−	6.68269i	0.336486	−	0.216247i
$956$	−7.38061	−	8.51768i	−0.238706	−	0.275482i
$957$	4.91703	−	1.44377i	0.158945	−	0.0466705i
$958$	4.05201	−	28.1823i	0.130914	−	0.910530i
$959$	11.2421	−	12.9741i	0.363027	−	0.418955i
$960$	12.7335	−	27.8825i	0.410972	−	0.899903i
$961$	−13.4329	−	3.94426i	−0.433319	−	0.127234i
$962$	6.52542	+	14.2887i	0.210388	+	0.460686i
$963$	−3.81871	−	26.5597i	−0.123056	−	0.855874i
$964$	−8.90348	−	5.72192i	−0.286762	−	0.184291i
$965$	−25.7082			−0.827576
$966$		0			0
$967$	−39.5410			−1.27155			−0.635777	−	0.771873i	$-0.719320\pi$
$967$	−39.5410			−1.27155			−0.635777	+	0.771873i	$0.719320\pi$
$968$	−19.5943	−	12.5925i	−0.629785	−	0.404738i
$969$	3.33250	+	23.1781i	0.107055	+	0.744587i
$970$	9.33526	+	20.4414i	0.299737	+	0.656333i
$971$	7.22293	+	2.12084i	0.231795	+	0.0680611i	0.395567	−	0.918437i	$-0.370548\pi$
$971$	7.22293	+	2.12084i	0.231795	+	0.0680611i	−0.163772	+	0.986498i	$0.552366\pi$
$972$	−4.59272	+	10.0566i	−0.147311	+	0.322567i
$973$	−2.19216	+	2.52989i	−0.0702775	+	0.0811045i
$974$	−0.297462	+	2.06890i	−0.00953130	+	0.0662917i
$975$	−35.2213	+	10.3419i	−1.12798	+	0.331206i
$976$	−34.7892	−	40.1489i	−1.11358	−	1.28514i
$977$	45.9766	−	29.5474i	1.47092	−	0.945304i	0.472987	−	0.881070i	$-0.343176\pi$
$977$	45.9766	−	29.5474i	1.47092	−	0.945304i	0.997935	−	0.0642341i	$-0.0204604\pi$
$978$	31.1554	−	20.0223i	0.996238	−	0.640244i
$979$	−0.764343	−	0.882099i	−0.0244285	−	0.0281920i
$980$	10.5010	−	3.08336i	0.335441	−	0.0984942i
$981$		0			0
$982$	42.0152	−	48.4882i	1.34076	−	1.54732i
$983$	13.0971	−	28.6788i	0.417734	−	0.914710i	−0.577426	−	0.816443i	$-0.695943\pi$
$983$	13.0971	−	28.6788i	0.417734	−	0.914710i	0.995160	−	0.0982671i	$-0.0313300\pi$
$984$	−26.2524	−	7.70839i	−0.836895	−	0.245735i
$985$	10.0449	+	21.9952i	0.320056	+	0.700826i
$986$	3.61713	+	25.1577i	0.115193	+	0.801185i
$987$	5.19923	+	3.34134i	0.165493	+	0.106356i
$988$	3.70820			0.117974
$989$		0			0
$990$	−8.00000			−0.254257
$991$	20.1901	+	12.9754i	0.641359	+	0.412177i	0.820500	−	0.571647i	$-0.193695\pi$
$991$	20.1901	+	12.9754i	0.641359	+	0.412177i	−0.179141	+	0.983824i	$0.557332\pi$
$992$	3.22869	+	22.4560i	0.102511	+	0.712979i
$993$	10.8239	+	23.7011i	0.343487	+	0.752132i
$994$	14.8989	+	4.37470i	0.472564	+	0.138757i
$995$	34.5598	−	75.6755i	1.09562	−	2.39907i
$996$	−11.9786	+	13.8240i	−0.379556	+	0.438031i
$997$	5.24186	−	36.4579i	0.166011	−	1.15463i	−0.721017	−	0.692918i	$-0.756325\pi$
$997$	5.24186	−	36.4579i	0.166011	−	1.15463i	0.887028	−	0.461716i	$-0.152766\pi$
$998$	50.7792	−	14.9101i	1.60739	−	0.471972i
$999$	−4.73862	−	5.46866i	−0.149923	−	0.173021i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	529.2.c.n.255.1		20
23.2	even	11	inner	529.2.c.n.399.2		20
23.3	even	11	inner	529.2.c.n.501.2		20
23.4	even	11	inner	529.2.c.n.170.2		20
23.5	odd	22		529.2.c.o.487.1		20
23.6	even	11	inner	529.2.c.n.118.2		20
23.7	odd	22		529.2.c.o.466.1		20
23.8	even	11	inner	529.2.c.n.266.2		20
23.9	even	11		529.2.a.a.1.1		2
23.10	odd	22		529.2.c.o.177.2		20
23.11	odd	22		529.2.c.o.334.1		20
23.12	even	11	inner	529.2.c.n.334.1		20
23.13	even	11	inner	529.2.c.n.177.2		20
23.14	odd	22		23.2.a.a.1.1	✓	2
23.15	odd	22		529.2.c.o.266.2		20
23.16	even	11	inner	529.2.c.n.466.1		20
23.17	odd	22		529.2.c.o.118.2		20
23.18	even	11	inner	529.2.c.n.487.1		20
23.19	odd	22		529.2.c.o.170.2		20
23.20	odd	22		529.2.c.o.501.2		20
23.21	odd	22		529.2.c.o.399.2		20
23.22	odd	2		529.2.c.o.255.1		20
69.14	even	22		207.2.a.d.1.2		2
69.32	odd	22		4761.2.a.w.1.2		2
92.55	odd	22		8464.2.a.bb.1.1		2
92.83	even	22		368.2.a.h.1.1		2
115.14	odd	22		575.2.a.f.1.2		2
115.37	even	44		575.2.b.d.24.1		4
115.83	even	44		575.2.b.d.24.4		4
161.83	even	22		1127.2.a.c.1.1		2
184.37	odd	22		1472.2.a.t.1.1		2
184.83	even	22		1472.2.a.s.1.2		2
253.175	even	22		2783.2.a.c.1.2		2
276.83	odd	22		3312.2.a.ba.1.2		2
299.129	odd	22		3887.2.a.i.1.2		2
345.14	even	22		5175.2.a.be.1.1		2
391.152	odd	22		6647.2.a.b.1.1		2
437.37	even	22		8303.2.a.e.1.2		2
460.359	even	22		9200.2.a.bt.1.2		2

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
23.2.a.a.1.1	✓	2	23.14	odd	22
207.2.a.d.1.2		2	69.14	even	22
368.2.a.h.1.1		2	92.83	even	22
529.2.a.a.1.1		2	23.9	even	11
529.2.c.n.118.2		20	23.6	even	11	inner
529.2.c.n.170.2		20	23.4	even	11	inner
529.2.c.n.177.2		20	23.13	even	11	inner
529.2.c.n.255.1		20	1.1	even	1	trivial
529.2.c.n.266.2		20	23.8	even	11	inner
529.2.c.n.334.1		20	23.12	even	11	inner
529.2.c.n.399.2		20	23.2	even	11	inner
529.2.c.n.466.1		20	23.16	even	11	inner
529.2.c.n.487.1		20	23.18	even	11	inner
529.2.c.n.501.2		20	23.3	even	11	inner
529.2.c.o.118.2		20	23.17	odd	22
529.2.c.o.170.2		20	23.19	odd	22
529.2.c.o.177.2		20	23.10	odd	22
529.2.c.o.255.1		20	23.22	odd	2
529.2.c.o.266.2		20	23.15	odd	22
529.2.c.o.334.1		20	23.11	odd	22
529.2.c.o.399.2		20	23.21	odd	22
529.2.c.o.466.1		20	23.7	odd	22
529.2.c.o.487.1		20	23.5	odd	22
529.2.c.o.501.2		20	23.20	odd	22
575.2.a.f.1.2		2	115.14	odd	22
575.2.b.d.24.1		4	115.37	even	44
575.2.b.d.24.4		4	115.83	even	44
1127.2.a.c.1.1		2	161.83	even	22
1472.2.a.s.1.2		2	184.83	even	22
1472.2.a.t.1.1		2	184.37	odd	22
2783.2.a.c.1.2		2	253.175	even	22
3312.2.a.ba.1.2		2	276.83	odd	22
3887.2.a.i.1.2		2	299.129	odd	22
4761.2.a.w.1.2		2	69.32	odd	22
5175.2.a.be.1.1		2	345.14	even	22
6647.2.a.b.1.1		2	391.152	odd	22
8303.2.a.e.1.2		2	437.37	even	22
8464.2.a.bb.1.1		2	92.55	odd	22
9200.2.a.bt.1.2		2	460.359	even	22

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:	\( N \)	\(=\)	\( 529 = 23^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	529.c (of order \(11\), degree \(10\), not minimal)

\(f(q)\)	\(=\)	\(q+(-1.36118 - 0.874775i) q^{2} +(-0.318226 - 2.21331i) q^{3} +(0.256741 + 0.562183i) q^{4} +(-3.10498 - 0.911706i) q^{5} +(-1.50299 + 3.29108i) q^{6} +(-0.809452 + 0.934158i) q^{7} +(-0.318226 + 2.21331i) q^{8} +(-1.91899 + 0.563465i) q^{9} +O(q^{10})\)	\(q+(-1.36118 - 0.874775i) q^{2} +(-0.318226 - 2.21331i) q^{3} +(0.256741 + 0.562183i) q^{4} +(-3.10498 - 0.911706i) q^{5} +(-1.50299 + 3.29108i) q^{6} +(-0.809452 + 0.934158i) q^{7} +(-0.318226 + 2.21331i) q^{8} +(-1.91899 + 0.563465i) q^{9} +(3.42890 + 3.95716i) q^{10} +(0.642661 - 0.413013i) q^{11} +(1.16258 - 0.747147i) q^{12} +(-1.96458 - 2.26725i) q^{13} +(1.91899 - 0.563465i) q^{14} +(-1.02980 + 7.16242i) q^{15} +(3.17876 - 3.66849i) q^{16} +(-2.17514 + 4.76289i) q^{17} +(3.10498 + 0.911706i) q^{18} +(0.830830 + 1.81926i) q^{19} +(-0.284630 - 1.97964i) q^{20} +(2.32517 + 1.49429i) q^{21} -1.23607 q^{22} +5.00000 q^{24} +(4.60345 + 2.95846i) q^{25} +(0.690811 + 4.80469i) q^{26} +(-0.928896 - 2.03400i) q^{27} +(-0.732987 - 0.215225i) q^{28} +(-1.24625 + 2.72890i) q^{29} +(7.66724 - 8.84847i) q^{30} +(0.954677 - 6.63992i) q^{31} +(-3.24497 + 0.952810i) q^{32} +(-1.11864 - 1.29097i) q^{33} +(7.12721 - 4.58038i) q^{34} +(3.36501 - 2.16256i) q^{35} +(-0.809452 - 0.934158i) q^{36} +(3.10498 - 0.911706i) q^{37} +(0.460540 - 3.20313i) q^{38} +(-4.39294 + 5.06972i) q^{39} +(3.00597 - 6.58216i) q^{40} +(-5.25048 - 1.54168i) q^{41} +(-1.85779 - 4.06800i) q^{42} +(0.397186 + 0.255256i) q^{44} +6.47214 q^{45} +2.23607 q^{47} +(-9.13105 - 5.86817i) q^{48} +(0.778766 + 5.41644i) q^{49} +(-3.67813 - 8.05397i) q^{50} +(11.2339 + 3.29858i) q^{51} +(0.770222 - 1.68655i) q^{52} +(-5.54807 + 6.40281i) q^{53} +(-0.514900 + 3.58121i) q^{54} +(-2.37200 + 0.696481i) q^{55} +(-1.80999 - 2.08884i) q^{56} +(3.76220 - 2.41782i) q^{57} +(4.08353 - 2.62433i) q^{58} +(1.61890 + 1.86832i) q^{59} +(-4.29098 + 1.25995i) q^{60} +(1.55753 - 10.8329i) q^{61} +(-7.10793 + 8.20298i) q^{62} +(1.02696 - 2.24873i) q^{63} +(-4.06448 - 1.19344i) q^{64} +(4.03293 + 8.83089i) q^{65} +(0.393349 + 2.73580i) q^{66} +(6.08737 + 3.91211i) q^{67} -3.23607 q^{68} -6.47214 q^{70} +(6.53144 + 4.19750i) q^{71} +(-0.636451 - 4.42662i) q^{72} +(6.42736 + 14.0739i) q^{73} +(-5.02397 - 1.47517i) q^{74} +(5.08305 - 11.1303i) q^{75} +(-0.809452 + 0.934158i) q^{76} +(-0.134384 + 0.934661i) q^{77} +(10.4144 - 3.05795i) q^{78} +(4.54753 + 5.24813i) q^{79} +(-13.2146 + 8.49250i) q^{80} +(-9.25379 + 5.94705i) q^{81} +(5.79820 + 6.69148i) q^{82} +(-12.6999 + 3.72903i) q^{83} +(-0.243103 + 1.69082i) q^{84} +(11.0961 - 12.8056i) q^{85} +(6.43647 + 1.88992i) q^{87} +(0.709614 + 1.55384i) q^{88} +(-0.217438 - 1.51231i) q^{89} +(-8.80972 - 5.66166i) q^{90} +3.70820 q^{91} -15.0000 q^{93} +(-3.04368 - 1.95606i) q^{94} +(-0.921081 - 6.40626i) q^{95} +(3.14150 + 6.87892i) q^{96} +(4.11795 + 1.20914i) q^{97} +(3.67813 - 8.05397i) q^{98} +(-1.00054 + 1.15468i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 20 q + q^{2} + q^{4} - 2 q^{5} + 5 q^{6} + 2 q^{7} - 4 q^{9}+O(q^{10}) \) 20 * q + q^2 + q^4 - 2 * q^5 + 5 * q^6 + 2 * q^7 - 4 * q^9	\( 20 q + q^{2} + q^{4} - 2 q^{5} + 5 q^{6} + 2 q^{7} - 4 q^{9} + 6 q^{10} - 6 q^{11} - 5 q^{12} - 6 q^{13} + 4 q^{14} - 10 q^{15} + 3 q^{16} + 6 q^{17} + 2 q^{18} - 4 q^{19} - 4 q^{20} - 10 q^{21} + 20 q^{22} + 100 q^{24} - 2 q^{25} + 3 q^{26} - 6 q^{28} + 6 q^{29} + 10 q^{30} - 9 q^{32} + 10 q^{33} - 8 q^{34} - 8 q^{35} + 2 q^{36} + 2 q^{37} + 2 q^{38} - 10 q^{40} - 2 q^{41} + 8 q^{44} + 40 q^{45} + 15 q^{48} + 2 q^{49} + 11 q^{50} + 10 q^{51} + 3 q^{52} - 8 q^{53} - 5 q^{54} + 4 q^{55} - 10 q^{56} - 3 q^{58} - 4 q^{59} + 4 q^{61} - 15 q^{62} + 4 q^{63} - 4 q^{64} - 6 q^{65} + 10 q^{66} - 10 q^{67} - 20 q^{68} - 40 q^{70} - 20 q^{71} - 22 q^{73} - 6 q^{74} - 20 q^{75} + 2 q^{76} + 16 q^{77} + 15 q^{78} - 4 q^{79} + 18 q^{80} + 22 q^{81} + 11 q^{82} - 22 q^{83} + 10 q^{84} + 16 q^{85} + 10 q^{88} - 12 q^{89} + 12 q^{90} - 60 q^{91} - 300 q^{93} + 5 q^{94} - 4 q^{95} + 5 q^{96} + 22 q^{97} - 11 q^{98} - 12 q^{99}+O(q^{100}) \) 20 * q + q^2 + q^4 - 2 * q^5 + 5 * q^6 + 2 * q^7 - 4 * q^9 + 6 * q^10 - 6 * q^11 - 5 * q^12 - 6 * q^13 + 4 * q^14 - 10 * q^15 + 3 * q^16 + 6 * q^17 + 2 * q^18 - 4 * q^19 - 4 * q^20 - 10 * q^21 + 20 * q^22 + 100 * q^24 - 2 * q^25 + 3 * q^26 - 6 * q^28 + 6 * q^29 + 10 * q^30 - 9 * q^32 + 10 * q^33 - 8 * q^34 - 8 * q^35 + 2 * q^36 + 2 * q^37 + 2 * q^38 - 10 * q^40 - 2 * q^41 + 8 * q^44 + 40 * q^45 + 15 * q^48 + 2 * q^49 + 11 * q^50 + 10 * q^51 + 3 * q^52 - 8 * q^53 - 5 * q^54 + 4 * q^55 - 10 * q^56 - 3 * q^58 - 4 * q^59 + 4 * q^61 - 15 * q^62 + 4 * q^63 - 4 * q^64 - 6 * q^65 + 10 * q^66 - 10 * q^67 - 20 * q^68 - 40 * q^70 - 20 * q^71 - 22 * q^73 - 6 * q^74 - 20 * q^75 + 2 * q^76 + 16 * q^77 + 15 * q^78 - 4 * q^79 + 18 * q^80 + 22 * q^81 + 11 * q^82 - 22 * q^83 + 10 * q^84 + 16 * q^85 + 10 * q^88 - 12 * q^89 + 12 * q^90 - 60 * q^91 - 300 * q^93 + 5 * q^94 - 4 * q^95 + 5 * q^96 + 22 * q^97 - 11 * q^98 - 12 * q^99

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