LMFDB - Embedded newform 637.2.w.a.92.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("637.92");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

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

Embedding invariants

Embedding label			92.20
Character	$\chi$	$=$	637.92
Dual form			637.2.w.a.547.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.789572 - 0.990091i) q^{2} +(0.188017 + 0.0905443i) q^{3} +(0.0881841 + 0.386360i) q^{4} +(3.30397 + 1.59111i) q^{5} +(0.238100 - 0.114663i) q^{6} +(-0.667783 - 2.56009i) q^{7} +(2.73409 + 1.31667i) q^{8} +(-1.84332 - 2.31145i) q^{9} +O(q^{10})$	\(q+(0.789572 - 0.990091i) q^{2} +(0.188017 + 0.0905443i) q^{3} +(0.0881841 + 0.386360i) q^{4} +(3.30397 + 1.59111i) q^{5} +(0.238100 - 0.114663i) q^{6} +(-0.667783 - 2.56009i) q^{7} +(2.73409 + 1.31667i) q^{8} +(-1.84332 - 2.31145i) q^{9} +(4.18406 - 2.01494i) q^{10} +(0.469894 - 0.589229i) q^{11} +(-0.0184026 + 0.0806269i) q^{12} +(-0.623490 + 0.781831i) q^{13} +(-3.06199 - 1.36021i) q^{14} +(0.477137 + 0.598311i) q^{15} +(2.74828 - 1.32350i) q^{16} +(0.793186 - 3.47518i) q^{17} -3.74397 q^{18} -0.347850 q^{19} +(-0.323383 + 1.41683i) q^{20} +(0.106247 - 0.541805i) q^{21} +(-0.212375 - 0.930476i) q^{22} +(1.97647 + 8.65946i) q^{23} +(0.394839 + 0.495112i) q^{24} +(5.26714 + 6.60479i) q^{25} +(0.281795 + 1.23462i) q^{26} +(-0.276596 - 1.21185i) q^{27} +(0.930229 - 0.483764i) q^{28} +(-0.717320 + 3.14279i) q^{29} +0.969117 q^{30} +6.17448 q^{31} +(-0.490952 + 2.15100i) q^{32} +(0.141700 - 0.0682389i) q^{33} +(-2.81447 - 3.52923i) q^{34} +(1.86705 - 9.52098i) q^{35} +(0.730499 - 0.916017i) q^{36} +(2.38062 - 10.4302i) q^{37} +(-0.274653 + 0.344403i) q^{38} +(-0.188017 + 0.0905443i) q^{39} +(6.93838 + 8.70046i) q^{40} +(-5.85709 - 2.82063i) q^{41} +(-0.452547 - 0.532988i) q^{42} +(-6.28848 + 3.02837i) q^{43} +(0.269092 + 0.129588i) q^{44} +(-2.41250 - 10.5699i) q^{45} +(10.1342 + 4.88038i) q^{46} +(-6.86389 + 8.60704i) q^{47} +0.636559 q^{48} +(-6.10813 + 3.41917i) q^{49} +10.6981 q^{50} +(0.463790 - 0.581575i) q^{51} +(-0.357050 - 0.171946i) q^{52} +(-0.450994 - 1.97594i) q^{53} +(-1.41823 - 0.682985i) q^{54} +(2.49004 - 1.19914i) q^{55} +(1.54501 - 7.87876i) q^{56} +(-0.0654018 - 0.0314959i) q^{57} +(2.54527 + 3.19167i) q^{58} +(-8.46710 + 4.07754i) q^{59} +(-0.189088 + 0.237108i) q^{60} +(0.282097 - 1.23595i) q^{61} +(4.87519 - 6.11330i) q^{62} +(-4.68658 + 6.26260i) q^{63} +(5.54578 + 6.95419i) q^{64} +(-3.30397 + 1.59111i) q^{65} +(0.0443192 - 0.194175i) q^{66} -1.40513 q^{67} +1.41262 q^{68} +(-0.412456 + 1.80709i) q^{69} +(-7.95247 - 9.36604i) q^{70} +(-2.85666 - 12.5158i) q^{71} +(-1.99638 - 8.74673i) q^{72} +(-9.87006 - 12.3767i) q^{73} +(-8.44717 - 10.5924i) q^{74} +(0.392288 + 1.71872i) q^{75} +(-0.0306749 - 0.134395i) q^{76} +(-1.82227 - 0.809495i) q^{77} +(-0.0588059 + 0.257645i) q^{78} +2.98605 q^{79} +11.1861 q^{80} +(-1.91590 + 8.39409i) q^{81} +(-7.41727 + 3.57197i) q^{82} +(1.64053 + 2.05716i) q^{83} +(0.218701 - 0.00672904i) q^{84} +(8.15005 - 10.2198i) q^{85} +(-1.96684 + 8.61728i) q^{86} +(-0.419430 + 0.525948i) q^{87} +(2.06055 - 0.992308i) q^{88} +(4.48899 + 5.62902i) q^{89} +(-12.3700 - 5.95707i) q^{90} +(2.41792 + 1.07410i) q^{91} +(-3.17138 + 1.52725i) q^{92} +(1.16091 + 0.559064i) q^{93} +(3.10223 + 13.5918i) q^{94} +(-1.14929 - 0.553467i) q^{95} +(-0.287069 + 0.359973i) q^{96} +0.649715 q^{97} +(-1.43752 + 8.74729i) q^{98} -2.22813 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9}+O(q^{10}) $ 162 * q + 3 * q^2 - 25 * q^4 - 4 * q^5 + 18 * q^6 - 15 * q^7 + 3 * q^8 - 5 * q^9	\( 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9} - 10 q^{10} + 15 q^{11} + 25 q^{12} + 27 q^{13} + 33 q^{14} + 18 q^{15} - 5 q^{16} + 3 q^{17} - 64 q^{18} + 24 q^{19} - 47 q^{20} + 24 q^{22} + 27 q^{23} - 8 q^{24} - 35 q^{25} - 3 q^{26} + 15 q^{27} + 2 q^{28} + 46 q^{29} - 30 q^{30} + 46 q^{31} + 16 q^{32} - 18 q^{33} - 62 q^{34} - 51 q^{35} + 39 q^{36} + 16 q^{37} - 54 q^{38} + 74 q^{40} - 2 q^{41} + 88 q^{42} + 14 q^{43} - 95 q^{44} + 83 q^{45} + 56 q^{46} - 4 q^{47} - 20 q^{48} - 3 q^{49} - 216 q^{50} - 56 q^{51} + 25 q^{52} + 38 q^{53} - 6 q^{54} + 73 q^{55} - 35 q^{56} + 41 q^{57} + 72 q^{58} - 44 q^{59} + 24 q^{60} - 6 q^{61} - 36 q^{62} - q^{63} - 11 q^{64} + 4 q^{65} + 95 q^{66} - 126 q^{67} - 382 q^{68} - 108 q^{69} - 47 q^{70} + 51 q^{71} + 130 q^{72} + 14 q^{73} - 26 q^{74} + 3 q^{75} + 75 q^{76} - 6 q^{77} + 31 q^{78} - 58 q^{79} + 110 q^{80} - 5 q^{81} - 90 q^{82} - 35 q^{83} + 21 q^{84} + 18 q^{85} + 76 q^{86} - 100 q^{87} + 6 q^{88} + 32 q^{89} + 13 q^{90} + q^{91} + 46 q^{92} + 19 q^{93} + 72 q^{94} + 38 q^{95} + 95 q^{96} + 6 q^{97} - 299 q^{98} - 334 q^{99}+O(q^{100}) \) 162 * q + 3 * q^2 - 25 * q^4 - 4 * q^5 + 18 * q^6 - 15 * q^7 + 3 * q^8 - 5 * q^9 - 10 * q^10 + 15 * q^11 + 25 * q^12 + 27 * q^13 + 33 * q^14 + 18 * q^15 - 5 * q^16 + 3 * q^17 - 64 * q^18 + 24 * q^19 - 47 * q^20 + 24 * q^22 + 27 * q^23 - 8 * q^24 - 35 * q^25 - 3 * q^26 + 15 * q^27 + 2 * q^28 + 46 * q^29 - 30 * q^30 + 46 * q^31 + 16 * q^32 - 18 * q^33 - 62 * q^34 - 51 * q^35 + 39 * q^36 + 16 * q^37 - 54 * q^38 + 74 * q^40 - 2 * q^41 + 88 * q^42 + 14 * q^43 - 95 * q^44 + 83 * q^45 + 56 * q^46 - 4 * q^47 - 20 * q^48 - 3 * q^49 - 216 * q^50 - 56 * q^51 + 25 * q^52 + 38 * q^53 - 6 * q^54 + 73 * q^55 - 35 * q^56 + 41 * q^57 + 72 * q^58 - 44 * q^59 + 24 * q^60 - 6 * q^61 - 36 * q^62 - q^63 - 11 * q^64 + 4 * q^65 + 95 * q^66 - 126 * q^67 - 382 * q^68 - 108 * q^69 - 47 * q^70 + 51 * q^71 + 130 * q^72 + 14 * q^73 - 26 * q^74 + 3 * q^75 + 75 * q^76 - 6 * q^77 + 31 * q^78 - 58 * q^79 + 110 * q^80 - 5 * q^81 - 90 * q^82 - 35 * q^83 + 21 * q^84 + 18 * q^85 + 76 * q^86 - 100 * q^87 + 6 * q^88 + 32 * q^89 + 13 * q^90 + q^91 + 46 * q^92 + 19 * q^93 + 72 * q^94 + 38 * q^95 + 95 * q^96 + 6 * q^97 - 299 * q^98 - 334 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

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

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

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

$2$	0.789572	−	0.990091i	0.558311	−	0.700100i	−0.419933	−	0.907555i	$-0.637947\pi$
$2$	0.789572	−	0.990091i	0.558311	−	0.700100i	0.978245	+	0.207455i	$0.0665179\pi$
$3$	0.188017	+	0.0905443i	0.108552	+	0.0522758i	0.487372	−	0.873195i	$-0.337956\pi$
$3$	0.188017	+	0.0905443i	0.108552	+	0.0522758i	−0.378820	+	0.925470i	$0.623670\pi$
$4$	0.0881841	+	0.386360i	0.0440921	+	0.193180i
$5$	3.30397	+	1.59111i	1.47758	+	0.711565i	0.987132	−	0.159905i	$-0.0511189\pi$
$5$	3.30397	+	1.59111i	1.47758	+	0.711565i	0.490448	+	0.871470i	$0.336833\pi$
$6$	0.238100	−	0.114663i	0.0972040	−	0.0468110i
$7$	−0.667783	−	2.56009i	−0.252398	−	0.967623i
$7$	−0.667783	−	2.56009i	−0.252398	−	0.967623i
$8$	2.73409	+	1.31667i	0.966646	+	0.465512i
$9$	−1.84332	−	2.31145i	−0.614439	−	0.770482i
$10$	4.18406	−	2.01494i	1.32312	−	0.637180i
$11$	0.469894	−	0.589229i	0.141678	−	0.177659i	−0.705930	−	0.708282i	$-0.749471\pi$
$11$	0.469894	−	0.589229i	0.141678	−	0.177659i	0.847608	+	0.530623i	$0.178042\pi$
$12$	−0.0184026	+	0.0806269i	−0.00531236	+	0.0232750i
$13$	−0.623490	+	0.781831i	−0.172925	+	0.216841i
$13$	−0.623490	+	0.781831i	−0.172925	+	0.216841i
$14$	−3.06199	−	1.36021i	−0.818350	−	0.363531i
$15$	0.477137	+	0.598311i	0.123196	+	0.154483i
$16$	2.74828	−	1.32350i	0.687069	−	0.330875i
$17$	0.793186	−	3.47518i	0.192376	−	0.842854i	−0.782950	−	0.622085i	$-0.786286\pi$
$17$	0.793186	−	3.47518i	0.192376	−	0.842854i	0.975326	−	0.220770i	$-0.0708569\pi$
$18$	−3.74397			−0.882463
$19$	−0.347850			−0.0798023			−0.0399011	−	0.999204i	$-0.512704\pi$
$19$	−0.347850			−0.0798023			−0.0399011	+	0.999204i	$0.512704\pi$
$20$	−0.323383	+	1.41683i	−0.0723106	+	0.316813i
$21$	0.106247	−	0.541805i	0.0231850	−	0.118232i
$22$	−0.212375	−	0.930476i	−0.0452785	−	0.198378i
$23$	1.97647	+	8.65946i	0.412122	+	1.80562i	0.574050	+	0.818820i	$0.305372\pi$
$23$	1.97647	+	8.65946i	0.412122	+	1.80562i	−0.161928	+	0.986803i	$0.551771\pi$
$24$	0.394839	+	0.495112i	0.0805961	+	0.101064i
$25$	5.26714	+	6.60479i	1.05343	+	1.32096i
$26$	0.281795	+	1.23462i	0.0552645	+	0.242130i
$27$	−0.276596	−	1.21185i	−0.0532310	−	0.233220i
$28$	0.930229	−	0.483764i	0.175797	−	0.0914228i
$29$	−0.717320	+	3.14279i	−0.133203	+	0.583601i	0.863633	+	0.504120i	$0.168183\pi$
$29$	−0.717320	+	3.14279i	−0.133203	+	0.583601i	−0.996836	+	0.0794802i	$0.974674\pi$
$30$	0.969117			0.176936
$31$	6.17448			1.10897			0.554485	−	0.832194i	$-0.312915\pi$
$31$	6.17448			1.10897			0.554485	+	0.832194i	$0.312915\pi$
$32$	−0.490952	+	2.15100i	−0.0867890	+	0.380247i
$33$	0.141700	−	0.0682389i	0.0246667	−	0.0118789i
$34$	−2.81447	−	3.52923i	−0.482677	−	0.605258i
$35$	1.86705	−	9.52098i	0.315588	−	1.60934i
$36$	0.730499	−	0.916017i	0.121750	−	0.152669i
$37$	2.38062	−	10.4302i	0.391372	−	1.71471i	−0.268452	−	0.963293i	$-0.586512\pi$
$37$	2.38062	−	10.4302i	0.391372	−	1.71471i	0.659824	−	0.751420i	$-0.270631\pi$
$38$	−0.274653	+	0.344403i	−0.0445545	+	0.0558696i
$39$	−0.188017	+	0.0905443i	−0.0301069	+	0.0144987i
$40$	6.93838	+	8.70046i	1.09705	+	1.37566i
$41$	−5.85709	−	2.82063i	−0.914724	−	0.440508i	−0.0835393	−	0.996504i	$-0.526622\pi$
$41$	−5.85709	−	2.82063i	−0.914724	−	0.440508i	−0.831184	+	0.555997i	$0.812337\pi$
$42$	−0.452547	−	0.532988i	−0.0698295	−	0.0822419i
$43$	−6.28848	+	3.02837i	−0.958984	+	0.461822i	−0.846827	−	0.531868i	$-0.821490\pi$
$43$	−6.28848	+	3.02837i	−0.958984	+	0.461822i	−0.112157	+	0.993691i	$0.535776\pi$
$44$	0.269092	+	0.129588i	0.0405671	+	0.0195361i
$45$	−2.41250	−	10.5699i	−0.359635	−	1.57566i
$46$	10.1342	+	4.88038i	1.49421	+	0.719573i
$47$	−6.86389	+	8.60704i	−1.00120	+	1.25547i	−0.0345408	+	0.999403i	$0.510997\pi$
$47$	−6.86389	+	8.60704i	−1.00120	+	1.25547i	−0.966660	+	0.256063i	$0.917575\pi$
$48$	0.636559			0.0918794
$49$	−6.10813	+	3.41917i	−0.872590	+	0.488453i
$50$	10.6981			1.51294
$51$	0.463790	−	0.581575i	0.0649436	−	0.0814367i
$52$	−0.357050	−	0.171946i	−0.0495140	−	0.0238447i
$53$	−0.450994	−	1.97594i	−0.0619488	−	0.271416i	0.934462	−	0.356062i	$-0.115881\pi$
$53$	−0.450994	−	1.97594i	−0.0619488	−	0.271416i	−0.996411	+	0.0846468i	$0.973024\pi$
$54$	−1.41823	−	0.682985i	−0.192997	−	0.0929424i
$55$	2.49004	−	1.19914i	0.335757	−	0.161692i
$56$	1.54501	−	7.87876i	0.206461	−	1.05284i
$57$	−0.0654018	−	0.0314959i	−0.00866268	−	0.00417173i
$58$	2.54527	+	3.19167i	0.334210	+	0.419086i
$59$	−8.46710	+	4.07754i	−1.10232	+	0.530850i	−0.894388	−	0.447292i	$-0.852388\pi$
$59$	−8.46710	+	4.07754i	−1.10232	+	0.530850i	−0.207934	+	0.978143i	$0.566674\pi$
$60$	−0.189088	+	0.237108i	−0.0244111	+	0.0306106i
$61$	0.282097	−	1.23595i	0.0361189	−	0.158247i	−0.953652	−	0.300910i	$-0.902709\pi$
$61$	0.282097	−	1.23595i	0.0361189	−	0.158247i	0.989771	+	0.142663i	$0.0455666\pi$
$62$	4.87519	−	6.11330i	0.619150	−	0.776390i
$63$	−4.68658	+	6.26260i	−0.590453	+	0.789014i
$64$	5.54578	+	6.95419i	0.693223	+	0.869274i
$65$	−3.30397	+	1.59111i	−0.409807	+	0.197353i
$66$	0.0443192	−	0.194175i	0.00545531	−	0.0239013i
$67$	−1.40513			−0.171664			−0.0858319	−	0.996310i	$-0.527355\pi$
$67$	−1.40513			−0.171664			−0.0858319	+	0.996310i	$0.527355\pi$
$68$	1.41262			0.171305
$69$	−0.412456	+	1.80709i	−0.0496538	+	0.217548i
$70$	−7.95247	−	9.36604i	−0.950502	−	1.11946i
$71$	−2.85666	−	12.5158i	−0.339023	−	1.48536i	−0.801107	−	0.598521i	$-0.795755\pi$
$71$	−2.85666	−	12.5158i	−0.339023	−	1.48536i	0.462084	−	0.886836i	$-0.347102\pi$
$72$	−1.99638	−	8.74673i	−0.235276	−	1.03081i
$73$	−9.87006	−	12.3767i	−1.15520	−	1.44858i	−0.871991	−	0.489521i	$-0.837171\pi$
$73$	−9.87006	−	12.3767i	−1.15520	−	1.44858i	−0.283212	−	0.959057i	$-0.591400\pi$
$74$	−8.44717	−	10.5924i	−0.981964	−	1.23134i
$75$	0.392288	+	1.71872i	0.0452975	+	0.198461i
$76$	−0.0306749	−	0.134395i	−0.00351865	−	0.0154162i
$77$	−1.82227	−	0.809495i	−0.207667	−	0.0922505i
$78$	−0.0588059	+	0.257645i	−0.00665846	+	0.0291726i
$79$	2.98605			0.335957			0.167979	−	0.985791i	$-0.446276\pi$
$79$	2.98605			0.335957			0.167979	+	0.985791i	$0.446276\pi$
$80$	11.1861			1.25064
$81$	−1.91590	+	8.39409i	−0.212877	+	0.932676i
$82$	−7.41727	+	3.57197i	−0.819100	+	0.394458i
$83$	1.64053	+	2.05716i	0.180072	+	0.225803i	0.863673	−	0.504053i	$-0.168158\pi$
$83$	1.64053	+	2.05716i	0.180072	+	0.225803i	−0.683601	+	0.729856i	$0.739587\pi$
$84$	0.218701	−	0.00672904i	0.0238622	−	0.000734198i
$85$	8.15005	−	10.2198i	0.883997	−	1.10850i
$86$	−1.96684	+	8.61728i	−0.212090	+	0.929226i
$87$	−0.419430	+	0.525948i	−0.0449676	+	0.0563876i
$88$	2.06055	−	0.992308i	0.219655	−	0.105780i
$89$	4.48899	+	5.62902i	0.475832	+	0.596675i	0.960588	−	0.277975i	$-0.0896631\pi$
$89$	4.48899	+	5.62902i	0.475832	+	0.596675i	−0.484756	+	0.874649i	$0.661092\pi$
$90$	−12.3700	−	5.95707i	−1.30391	−	0.627930i
$91$	2.41792	+	1.07410i	0.253466	+	0.112596i
$92$	−3.17138	+	1.52725i	−0.330639	+	0.159227i
$93$	1.16091	+	0.559064i	0.120381	+	0.0579723i
$94$	3.10223	+	13.5918i	0.319970	+	1.40188i
$95$	−1.14929	−	0.553467i	−0.117914	−	0.0567845i
$96$	−0.287069	+	0.359973i	−0.0292988	+	0.0367396i
$97$	0.649715			0.0659685			0.0329843	−	0.999456i	$-0.489499\pi$
$97$	0.649715			0.0659685			0.0329843	+	0.999456i	$0.489499\pi$
$98$	−1.43752	+	8.74729i	−0.145211	+	0.883610i
$99$	−2.22813			−0.223936
$100$	−2.08735	+	2.61745i	−0.208735	+	0.261745i
$101$	−5.12286	−	2.46704i	−0.509744	−	0.245480i	0.161289	−	0.986907i	$-0.448435\pi$
$101$	−5.12286	−	2.46704i	−0.509744	−	0.245480i	−0.671033	+	0.741427i	$0.734149\pi$
$102$	−0.209616	−	0.918390i	−0.0207551	−	0.0909341i
$103$	−5.25273	−	2.52958i	−0.517567	−	0.249247i	0.156817	−	0.987628i	$-0.449877\pi$
$103$	−5.25273	−	2.52958i	−0.517567	−	0.249247i	−0.674384	+	0.738381i	$0.735591\pi$
$104$	−2.73409	+	1.31667i	−0.268099	+	0.129110i
$105$	1.21311	−	1.62106i	0.118387	−	0.158199i
$106$	−2.31245	−	1.11362i	−0.224605	−	0.108164i
$107$	11.1609	+	13.9953i	1.07896	+	1.35298i	0.931429	+	0.363922i	$0.118563\pi$
$107$	11.1609	+	13.9953i	1.07896	+	1.35298i	0.147535	+	0.989057i	$0.452866\pi$
$108$	0.443818	−	0.213731i	0.0427064	−	0.0205663i
$109$	7.89608	−	9.90137i	0.756307	−	0.948379i	−0.243461	−	0.969911i	$-0.578283\pi$
$109$	7.89608	−	9.90137i	0.756307	−	0.948379i	0.999768	+	0.0215316i	$0.00685426\pi$
$110$	0.778807	−	3.41218i	0.0742564	−	0.325338i
$111$	1.39199	−	1.74550i	0.132122	−	0.165676i
$112$	−5.22354	−	6.15203i	−0.493578	−	0.581312i
$113$	−10.0795	−	12.6393i	−0.948201	−	1.18901i	−0.981867	−	0.189573i	$-0.939290\pi$
$113$	−10.0795	−	12.6393i	−0.948201	−	1.18901i	0.0336657	−	0.999433i	$-0.489282\pi$
$114$	−0.0828232	+	0.0398855i	−0.00775710	+	0.00373562i
$115$	−7.24796	+	31.7554i	−0.675876	+	2.96120i
$116$	−1.27750			−0.118613
$117$	2.95645			0.273324
$118$	−2.64824	+	11.6027i	−0.243790	+	1.06812i
$119$	−9.42645	+	0.290035i	−0.864121	+	0.0265874i
$120$	0.516758	+	2.26407i	0.0471734	+	0.206680i
$121$	2.32134	+	10.1705i	0.211031	+	0.924587i
$122$	−1.00097	−	1.25517i	−0.0906232	−	0.113638i
$123$	−0.845842	−	1.06065i	−0.0762670	−	0.0956358i
$124$	0.544491	+	2.38557i	0.0488968	+	0.214231i
$125$	2.81349	+	12.3267i	0.251646	+	1.10253i
$126$	2.50016	+	9.58491i	0.222732	+	0.853892i
$127$	2.46192	−	10.7864i	0.218460	−	0.957135i	−0.740157	−	0.672434i	$-0.765249\pi$
$127$	2.46192	−	10.7864i	0.218460	−	0.957135i	0.958617	−	0.284700i	$-0.0918941\pi$
$128$	6.85143			0.605587
$129$	−1.45654			−0.128242
$130$	−1.03338	+	4.52753i	−0.0906333	+	0.397090i
$131$	−5.46969	+	2.63406i	−0.477889	+	0.230139i	−0.657291	−	0.753637i	$-0.728298\pi$
$131$	−5.46969	+	2.63406i	−0.477889	+	0.230139i	0.179402	+	0.983776i	$0.442584\pi$
$132$	0.0388604	+	0.0487294i	0.00338237	+	0.00424135i
$133$	0.232288	+	0.890528i	0.0201420	+	0.0772186i
$134$	−1.10945	+	1.39121i	−0.0958418	+	0.120182i
$135$	1.01431	−	4.44400i	0.0872983	−	0.382479i
$136$	6.74429	−	8.45707i	0.578318	−	0.725188i
$137$	11.3351	−	5.45869i	0.968422	−	0.466368i	0.118314	−	0.992976i	$-0.462251\pi$
$137$	11.3351	−	5.45869i	0.968422	−	0.466368i	0.850108	+	0.526609i	$0.176537\pi$
$138$	1.46352	+	1.83519i	0.124583	+	0.156222i
$139$	−16.5906	−	7.98959i	−1.40719	−	0.677668i	−0.432586	−	0.901593i	$-0.642399\pi$
$139$	−16.5906	−	7.98959i	−1.40719	−	0.677668i	−0.974606	+	0.223924i	$0.928113\pi$
$140$	3.84317	−	0.118247i	0.324807	−	0.00999373i
$141$	−2.06985	+	0.996786i	−0.174313	+	0.0839445i
$142$	−14.6474	−	7.05380i	−1.22918	−	0.591942i
$143$	0.167703	+	0.734756i	0.0140241	+	0.0614434i
$144$	−8.12515	−	3.91287i	−0.677096	−	0.326072i
$145$	−7.37052	+	9.24233i	−0.612088	+	0.767534i
$146$	−20.0471			−1.65911
$147$	−1.45802	+	0.0898064i	−0.120256	+	0.00740710i
$148$	4.23974			0.348505
$149$	3.79360	−	4.75702i	0.310784	−	0.389710i	−0.601769	−	0.798670i	$-0.705537\pi$
$149$	3.79360	−	4.75702i	0.310784	−	0.389710i	0.912552	+	0.408960i	$0.134108\pi$
$150$	2.01143	+	0.968655i	0.164233	+	0.0790904i
$151$	4.80205	+	21.0392i	0.390785	+	1.71214i	0.661897	+	0.749595i	$0.269751\pi$
$151$	4.80205	+	21.0392i	0.390785	+	1.71214i	−0.271112	+	0.962548i	$0.587391\pi$
$152$	−0.951052	−	0.458003i	−0.0771405	−	0.0371489i
$153$	−9.49478	+	4.57245i	−0.767608	+	0.369660i
$154$	−2.24028	+	1.16506i	−0.180527	+	0.0938829i
$155$	20.4003	+	9.82427i	1.63859	+	0.789104i
$156$	−0.0515628	−	0.0646577i	−0.00412833	−	0.00517676i
$157$	−15.2581	+	7.34789i	−1.21773	+	0.586426i	−0.928677	−	0.370889i	$-0.879053\pi$
$157$	−15.2581	+	7.34789i	−1.21773	+	0.586426i	−0.289048	+	0.957315i	$0.593339\pi$
$158$	2.35770	−	2.95646i	0.187569	−	0.235204i
$159$	0.0941150	−	0.412345i	0.00746381	−	0.0327011i
$160$	−5.04457	+	6.32569i	−0.398808	+	0.500090i
$161$	20.8492	−	10.8426i	1.64314	−	0.854515i
$162$	6.79818	+	8.52464i	0.534115	+	0.669759i
$163$	−7.92146	+	3.81477i	−0.620456	+	0.298796i	−0.717580	−	0.696476i	$-0.754750\pi$
$163$	−7.92146	+	3.81477i	−0.620456	+	0.298796i	0.0971234	+	0.995272i	$0.469036\pi$
$164$	0.573274	−	2.51168i	0.0447652	−	0.196129i
$165$	0.576746			0.0448996
$166$	3.33209			0.258621
$167$	−2.09563	+	9.18156i	−0.162165	+	0.710490i	0.826819	+	0.562468i	$0.190148\pi$
$167$	−2.09563	+	9.18156i	−0.162165	+	0.710490i	−0.988984	+	0.148023i	$0.952709\pi$
$168$	1.00387	−	1.34145i	0.0774499	−	0.103495i
$169$	−0.222521	−	0.974928i	−0.0171170	−	0.0749945i
$170$	−3.68353	−	16.1386i	−0.282514	−	1.23777i
$171$	0.641198	+	0.804037i	0.0490336	+	0.0614862i
$172$	−1.72459	−	2.16256i	−0.131498	−	0.164894i
$173$	0.648172	+	2.83983i	0.0492796	+	0.215908i	0.993572	−	0.113198i	$-0.0361096\pi$
$173$	0.648172	+	2.83983i	0.0492796	+	0.215908i	−0.944293	+	0.329107i	$0.893252\pi$
$174$	0.189567	+	0.830548i	0.0143710	+	0.0629637i
$175$	13.3916	−	17.8949i	1.01231	−	1.35273i
$176$	0.511555	−	2.24127i	0.0385599	−	0.168942i
$177$	−1.96116			−0.147410
$178$	9.11762			0.683395
$179$	−0.677506	+	2.96835i	−0.0506391	+	0.221865i	−0.993916	−	0.110143i	$-0.964869\pi$
$179$	−0.677506	+	2.96835i	−0.0506391	+	0.221865i	0.943277	+	0.332008i	$0.107726\pi$
$180$	3.87103	−	1.86419i	0.288529	−	0.138948i
$181$	−2.50623	−	3.14271i	−0.186286	−	0.233596i	0.679915	−	0.733291i	$-0.262017\pi$
$181$	−2.50623	−	3.14271i	−0.186286	−	0.233596i	−0.866201	+	0.499695i	$0.833445\pi$
$182$	2.97257	−	1.54588i	0.220342	−	0.114588i
$183$	0.164947	−	0.206837i	0.0121933	−	0.0152899i
$184$	−5.99780	+	26.2781i	−0.442164	+	1.93725i
$185$	24.4611	−	30.6732i	1.79841	−	2.25514i
$186$	1.47015	−	0.707985i	0.107796	−	0.0519119i
$187$	−1.67496	−	2.10033i	−0.122485	−	0.153592i
$188$	−3.93070	−	1.89293i	−0.286676	−	0.138056i
$189$	−2.91773	+	1.51736i	−0.212234	+	0.110372i
$190$	−1.45543	+	0.700897i	−0.105588	+	0.0508484i
$191$	22.0812	+	10.6337i	1.59774	+	0.769431i	0.999492	−	0.0318802i	$-0.0101495\pi$
$191$	22.0812	+	10.6337i	1.59774	+	0.769431i	0.598248	+	0.801311i	$0.295864\pi$
$192$	0.413040	+	1.80965i	0.0298086	+	0.130600i
$193$	6.30087	+	3.03434i	0.453546	+	0.218416i	0.646688	−	0.762754i	$-0.276153\pi$
$193$	6.30087	+	3.03434i	0.453546	+	0.218416i	−0.193142	+	0.981171i	$0.561868\pi$
$194$	0.512996	−	0.643277i	0.0368310	−	0.0461846i
$195$	−0.765269			−0.0548021
$196$	−1.85967	−	2.05842i	−0.132834	−	0.147030i
$197$	−0.369609			−0.0263336			−0.0131668	−	0.999913i	$-0.504191\pi$
$197$	−0.369609			−0.0263336			−0.0131668	+	0.999913i	$0.504191\pi$
$198$	−1.75927	+	2.20606i	−0.125026	+	0.156778i
$199$	4.30761	+	2.07443i	0.305358	+	0.147053i	0.580287	−	0.814412i	$-0.302940\pi$
$199$	4.30761	+	2.07443i	0.305358	+	0.147053i	−0.274929	+	0.961464i	$0.588654\pi$
$200$	5.70452	+	24.9931i	0.403371	+	1.76728i
$201$	−0.264188	−	0.127226i	−0.0186344	−	0.00897386i
$202$	−6.48746	+	3.12420i	−0.456456	+	0.219818i
$203$	8.52483	−	0.262294i	0.598326	−	0.0184094i
$204$	0.265596	+	0.127904i	0.0185954	+	0.00895509i
$205$	−14.8637	−	18.6385i	−1.03813	−	1.30177i
$206$	−6.65192	+	3.20340i	−0.463461	+	0.223191i
$207$	16.3726	−	20.5306i	1.13798	−	1.42698i
$208$	−0.678768	+	2.97388i	−0.0470641	+	0.206201i
$209$	−0.163453	+	0.204963i	−0.0113063	+	0.0141776i
$210$	−0.647160	−	2.48103i	−0.0446583	−	0.171207i
$211$	−8.61300	−	10.8004i	−0.592944	−	0.743528i	0.391316	−	0.920256i	$-0.372020\pi$
$211$	−8.61300	−	10.8004i	−0.592944	−	0.743528i	−0.984260	+	0.176729i	$0.943449\pi$
$212$	0.723652	−	0.348492i	0.0497006	−	0.0239345i
$213$	0.596137	−	2.61185i	0.0408467	−	0.178961i
$214$	22.6690			1.54962
$215$	−25.5954			−1.74559
$216$	0.839361	−	3.67748i	0.0571113	−	0.250221i
$217$	−4.12321	−	15.8072i	−0.279902	−	1.07306i
$218$	−3.56874	−	15.6357i	−0.241706	−	1.05898i
$219$	−0.735105	−	3.22070i	−0.0496738	−	0.217635i
$220$	0.682882	+	0.856308i	0.0460399	+	0.0577322i
$221$	2.22246	+	2.78688i	0.149499	+	0.187466i
$222$	−0.629130	−	2.75640i	−0.0422245	−	0.184997i
$223$	−0.590254	−	2.58607i	−0.0395263	−	0.173176i	0.951312	−	0.308230i	$-0.0997365\pi$
$223$	−0.590254	−	2.58607i	−0.0395263	−	0.173176i	−0.990838	+	0.135054i	$0.956879\pi$
$224$	5.83461	−	0.179521i	0.389842	−	0.0119947i
$225$	5.55760	−	24.3494i	0.370507	−	1.62330i
$226$	−20.4726			−1.36182
$227$	11.4681			0.761162			0.380581	−	0.924748i	$-0.375724\pi$
$227$	11.4681			0.761162			0.380581	+	0.924748i	$0.375724\pi$
$228$	0.00640133	−	0.0280461i	0.000423939	−	0.00185740i
$229$	−20.5583	+	9.90036i	−1.35853	+	0.654234i	−0.964309	−	0.264780i	$-0.914701\pi$
$229$	−20.5583	+	9.90036i	−1.35853	+	0.654234i	−0.394223	+	0.919015i	$0.628986\pi$
$230$	25.7179	+	32.2493i	1.69579	+	2.12645i
$231$	−0.269322	−	0.317195i	−0.0177201	−	0.0208699i
$232$	−6.09922	+	7.64818i	−0.400433	+	0.502127i
$233$	5.56196	−	24.3685i	0.364376	−	1.59644i	−0.377573	−	0.925980i	$-0.623241\pi$
$233$	5.56196	−	24.3685i	0.364376	−	1.59644i	0.741949	−	0.670456i	$-0.233902\pi$
$234$	2.33433	−	2.92716i	0.152600	−	0.191354i
$235$	−36.3728	+	17.5162i	−2.37270	+	1.14263i
$236$	−2.32206	−	2.91177i	−0.151153	−	0.189540i
$237$	0.561429	+	0.270370i	0.0364687	+	0.0175624i
$238$	−7.15569	+	9.56205i	−0.463835	+	0.619815i
$239$	6.59336	−	3.17520i	0.426489	−	0.205386i	−0.208311	−	0.978063i	$-0.566797\pi$
$239$	6.59336	−	3.17520i	0.426489	−	0.205386i	0.634800	+	0.772676i	$0.281082\pi$
$240$	2.10317	+	1.01283i	0.135759	+	0.0653782i
$241$	4.37831	+	19.1826i	0.282032	+	1.23566i	0.895184	+	0.445697i	$0.147044\pi$
$241$	4.37831	+	19.1826i	0.282032	+	1.23566i	−0.613152	+	0.789965i	$0.710099\pi$
$242$	11.9025	+	5.73196i	0.765125	+	0.368465i
$243$	−3.44528	+	4.32024i	−0.221015	+	0.277143i
$244$	0.502398			0.0321627
$245$	−25.6214	+	1.57814i	−1.63689	+	0.100824i
$246$	−1.71800			−0.109535
$247$	0.216881	−	0.271960i	0.0137998	−	0.0173044i
$248$	16.8816	+	8.12973i	1.07198	+	0.516239i
$249$	0.122184	+	0.535323i	0.00774309	+	0.0339247i
$250$	14.4260	+	6.94719i	0.912380	+	0.439379i
$251$	−21.9374	+	10.5645i	−1.38468	+	0.666825i	−0.969991	−	0.243139i	$-0.921823\pi$
$251$	−21.9374	+	10.5645i	−1.38468	+	0.666825i	−0.414686	+	0.909965i	$0.636109\pi$
$252$	−2.83290	−	1.25844i	−0.178456	−	0.0792745i
$253$	6.03113	+	2.90444i	0.379174	+	0.182601i
$254$	−8.73563	−	10.9541i	−0.548122	−	0.687323i
$255$	2.45770	−	1.18356i	0.153907	−	0.0741177i
$256$	−5.68187	+	7.12483i	−0.355117	+	0.445302i
$257$	4.02548	−	17.6368i	0.251102	−	1.10015i	−0.679372	−	0.733794i	$-0.737748\pi$
$257$	4.02548	−	17.6368i	0.251102	−	1.10015i	0.930474	−	0.366357i	$-0.119395\pi$
$258$	−1.15005	+	1.44211i	−0.0715987	+	0.0897820i
$259$	−28.2920	+	0.870493i	−1.75798	+	0.0540898i
$260$	−0.906098	−	1.13621i	−0.0561938	−	0.0704648i
$261$	8.58663	−	4.13510i	0.531499	−	0.255956i
$262$	−1.71075	+	7.49527i	−0.105690	+	0.463060i
$263$	16.2105			0.999585			0.499792	−	0.866145i	$-0.333410\pi$
$263$	16.2105			0.999585			0.499792	+	0.866145i	$0.333410\pi$
$264$	0.477267			0.0293737
$265$	1.65385	−	7.24601i	0.101596	−	0.445119i
$266$	1.06511	+	0.473149i	0.0653062	+	0.0290106i
$267$	0.334332	+	1.46481i	0.0204608	+	0.0896446i
$268$	−0.123910	−	0.542885i	−0.00756901	−	0.0331620i
$269$	16.4958	+	20.6851i	1.00577	+	1.26119i	0.965063	+	0.262020i	$0.0843885\pi$
$269$	16.4958	+	20.6851i	1.00577	+	1.26119i	0.0407037	+	0.999171i	$0.487040\pi$
$270$	−3.59909	−	4.51312i	−0.219034	−	0.274660i
$271$	−5.86377	−	25.6908i	−0.356198	−	1.56061i	−0.762574	−	0.646901i	$-0.776065\pi$
$271$	−5.86377	−	25.6908i	−0.356198	−	1.56061i	0.406376	−	0.913706i	$-0.366792\pi$
$272$	−2.41950	−	10.6005i	−0.146704	−	0.642752i
$273$	0.357356	+	0.420877i	0.0216282	+	0.0254726i
$274$	3.54526	−	15.5328i	0.214177	−	0.938371i
$275$	6.36673			0.383928
$276$	−0.734558			−0.0442152
$277$	−1.41576	+	6.20284i	−0.0850646	+	0.372692i	−0.999486	−	0.0320721i	$-0.989789\pi$
$277$	−1.41576	+	6.20284i	−0.0850646	+	0.372692i	0.914421	+	0.404765i	$0.132647\pi$
$278$	−21.0099	+	10.1178i	−1.26009	+	0.606826i
$279$	−11.3815	−	14.2720i	−0.681394	−	0.854441i
$280$	17.6406	−	23.5729i	1.05423	−	1.40875i
$281$	−4.67682	+	5.86455i	−0.278996	+	0.349850i	−0.901510	−	0.432759i	$-0.857540\pi$
$281$	−4.67682	+	5.86455i	−0.278996	+	0.349850i	0.622514	+	0.782609i	$0.286111\pi$
$282$	−0.647384	+	2.83637i	−0.0385511	+	0.168904i
$283$	−1.42804	+	1.79070i	−0.0848879	+	0.106446i	−0.822462	−	0.568820i	$-0.807400\pi$
$283$	−1.42804	+	1.79070i	−0.0848879	+	0.106446i	0.737574	+	0.675266i	$0.235971\pi$
$284$	4.58371	−	2.20740i	0.271993	−	0.130985i
$285$	−0.165972	−	0.208123i	−0.00983135	−	0.0123281i
$286$	0.859889	+	0.414101i	0.0508463	+	0.0244863i
$287$	−3.30979	+	16.8782i	−0.195371	+	0.996292i
$288$	5.87691	−	2.83017i	0.346300	−	0.166769i
$289$	3.86876	+	1.86310i	0.227574	+	0.109594i
$290$	3.33121	+	14.5950i	0.195615	+	0.857046i
$291$	0.122158	+	0.0588280i	0.00716100	+	0.00344856i
$292$	3.91146	−	4.90482i	0.228901	−	0.287033i
$293$	12.7411			0.744342			0.372171	−	0.928164i	$-0.378613\pi$
$293$	12.7411			0.744342			0.372171	+	0.928164i	$0.378613\pi$
$294$	−1.06229	+	1.51448i	−0.0619543	+	0.0883264i
$295$	−34.4628			−2.00650
$296$	20.2419	−	25.3826i	1.17654	−	1.47533i
$297$	−0.844026	−	0.406462i	−0.0489754	−	0.0235853i
$298$	−1.71457	−	7.51202i	−0.0993223	−	0.435159i
$299$	−8.00255	−	3.85382i	−0.462799	−	0.222872i
$300$	−0.629453	+	0.303128i	−0.0363415	+	0.0175011i
$301$	11.9522	+	14.0768i	0.688916	+	0.811372i
$302$	24.6223	+	11.8575i	1.41685	+	0.682320i
$303$	−0.739810	−	0.927692i	−0.0425010	−	0.0532945i
$304$	−0.955989	+	0.460380i	−0.0548297	+	0.0264046i
$305$	2.89857	−	3.63469i	0.165972	−	0.208122i
$306$	−2.96967	+	13.0110i	−0.169765	+	0.743788i
$307$	8.43474	−	10.5768i	0.481396	−	0.603651i	−0.480524	−	0.876981i	$-0.659554\pi$
$307$	8.43474	−	10.5768i	0.481396	−	0.603651i	0.961920	+	0.273330i	$0.0881251\pi$
$308$	0.152061	−	0.775435i	0.00866450	−	0.0441845i
$309$	−0.758564	−	0.951210i	−0.0431532	−	0.0541124i
$310$	25.8344	−	12.4412i	1.46730	−	0.706613i
$311$	4.16095	−	18.2303i	0.235946	−	1.03375i	−0.708662	−	0.705548i	$-0.750701\pi$
$311$	4.16095	−	18.2303i	0.235946	−	1.03375i	0.944608	−	0.328200i	$-0.106442\pi$
$312$	−0.633272			−0.0358520
$313$	23.3240			1.31835			0.659176	−	0.751989i	$-0.270905\pi$
$313$	23.3240			1.31835			0.659176	+	0.751989i	$0.270905\pi$
$314$	−4.77224	+	20.9086i	−0.269313	+	1.17994i
$315$	−25.4488	+	13.2346i	−1.43388	+	0.745686i
$316$	0.263322	+	1.15369i	0.0148130	+	0.0649002i
$317$	−0.675186	−	2.95819i	−0.0379222	−	0.166148i	0.952421	−	0.304786i	$-0.0985849\pi$
$317$	−0.675186	−	2.95819i	−0.0379222	−	0.166148i	−0.990343	+	0.138638i	$0.955728\pi$
$318$	−0.333949	−	0.418758i	−0.0187269	−	0.0234828i
$319$	1.51475	+	1.89944i	0.0848100	+	0.106348i
$320$	7.25823	+	31.8004i	0.405747	+	1.77770i
$321$	0.831244	+	3.64192i	0.0463955	+	0.203272i
$322$	5.72676	−	29.2036i	0.319140	−	1.62745i
$323$	−0.275910	+	1.20884i	−0.0153520	+	0.0672617i
$324$	−3.41209			−0.189561
$325$	−8.44784			−0.468602
$326$	−2.47758	+	10.8550i	−0.137221	+	0.601203i
$327$	2.38111	−	1.14668i	0.131676	−	0.0634117i
$328$	−12.3000	−	15.4237i	−0.679152	−	0.851630i
$329$	26.6184	+	11.8245i	1.46752	+	0.651908i
$330$	0.455383	−	0.571032i	0.0250680	−	0.0314343i
$331$	−1.10928	+	4.86008i	−0.0609716	+	0.267134i	−0.996221	−	0.0868556i	$-0.972318\pi$
$331$	−1.10928	+	4.86008i	−0.0609716	+	0.267134i	0.935249	+	0.353990i	$0.115175\pi$
$332$	−0.650136	+	0.815244i	−0.0356808	+	0.0447424i
$333$	−28.4971	+	13.7235i	−1.56163	+	0.752041i
$334$	7.43593	+	9.32436i	0.406876	+	0.510206i
$335$	−4.64250	−	2.23571i	−0.253647	−	0.122150i
$336$	−0.425083	−	1.62965i	−0.0231902	−	0.0889046i
$337$	−9.63739	+	4.64112i	−0.524982	+	0.252818i	−0.677552	−	0.735475i	$-0.736959\pi$
$337$	−9.63739	+	4.64112i	−0.524982	+	0.252818i	0.152570	+	0.988293i	$0.451245\pi$
$338$	−1.14096	−	0.549459i	−0.0620603	−	0.0298866i
$339$	−0.750704	−	3.28905i	−0.0407727	−	0.178637i
$340$	4.66724	+	2.24762i	0.253117	+	0.121895i
$341$	2.90135	−	3.63818i	0.157117	−	0.197019i
$342$	1.30234			0.0704226
$343$	12.8323	+	13.3541i	0.692879	+	0.721054i
$344$	−21.1806			−1.14198
$345$	−4.23801	+	5.31430i	−0.228167	+	0.286112i
$346$	3.32347	+	1.60050i	0.178671	+	0.0860433i
$347$	−3.94171	−	17.2698i	−0.211602	−	0.927090i	−0.963478	−	0.267786i	$-0.913708\pi$
$347$	−3.94171	−	17.2698i	−0.211602	−	0.927090i	0.751876	−	0.659304i	$-0.229149\pi$
$348$	−0.240192	−	0.115671i	−0.0128757	−	0.00620059i
$349$	16.8243	−	8.10213i	0.900582	−	0.433697i	0.0744827	−	0.997222i	$-0.476269\pi$
$349$	16.8243	−	8.10213i	0.900582	−	0.433697i	0.826099	+	0.563525i	$0.190555\pi$
$350$	−7.14403	−	27.3882i	−0.381865	−	1.46396i
$351$	1.11992	+	0.539323i	0.0597767	+	0.0287869i
$352$	1.03674	+	1.30003i	0.0552583	+	0.0692917i
$353$	8.21768	−	3.95743i	0.437383	−	0.210633i	−0.202216	−	0.979341i	$-0.564814\pi$
$353$	8.21768	−	3.95743i	0.437383	−	0.210633i	0.639600	+	0.768708i	$0.279100\pi$
$354$	−1.54847	+	1.94173i	−0.0823005	+	0.103202i
$355$	10.4757	−	45.8972i	0.555995	−	2.43597i
$356$	−1.77897	+	2.23076i	−0.0942852	+	0.118230i
$357$	−1.79860	−	0.798980i	−0.0951918	−	0.0422865i
$358$	2.40399	+	3.01451i	0.127055	+	0.159322i
$359$	1.59054	−	0.765964i	0.0839455	−	0.0404260i	−0.391440	−	0.920204i	$-0.628023\pi$
$359$	1.59054	−	0.765964i	0.0839455	−	0.0404260i	0.475385	+	0.879778i	$0.342309\pi$
$360$	7.32100	−	32.0754i	0.385851	−	1.69052i
$361$	−18.8790			−0.993632
$362$	−5.09041			−0.267546
$363$	−0.484425	+	2.12241i	−0.0254257	+	0.111397i
$364$	−0.201766	+	1.02890i	−0.0105754	+	0.0539292i
$365$	−12.9178	−	56.5965i	−0.676147	−	2.96239i
$366$	−0.0745502	−	0.326626i	−0.00389680	−	0.0170730i
$367$	−13.3486	−	16.7386i	−0.696789	−	0.873746i	0.299990	−	0.953942i	$-0.403017\pi$
$367$	−13.3486	−	16.7386i	−0.696789	−	0.873746i	−0.996779	+	0.0801961i	$0.974445\pi$
$368$	16.8927	+	21.1828i	0.880592	+	1.10423i
$369$	4.27675	+	18.7377i	0.222639	+	0.975444i
$370$	−11.0555	−	48.4374i	−0.574749	−	2.51814i
$371$	−4.75741	+	2.47408i	−0.246992	+	0.128448i
$372$	−0.113626	+	0.497829i	−0.00589125	+	0.0258112i
$373$	32.3622			1.67565			0.837826	−	0.545938i	$-0.183827\pi$
$373$	32.3622			1.67565			0.837826	+	0.545938i	$0.183827\pi$
$374$	−3.40202			−0.175914
$375$	−0.587128	+	2.57237i	−0.0303191	+	0.132837i
$376$	−30.0991	+	14.4950i	−1.55224	+	0.747520i
$377$	−2.00989	−	2.52032i	−0.103514	−	0.129803i
$378$	−0.801431	+	4.08689i	−0.0412212	+	0.210207i
$379$	−2.73500	+	3.42958i	−0.140488	+	0.176166i	−0.847098	−	0.531437i	$-0.821652\pi$
$379$	−2.73500	+	3.42958i	−0.140488	+	0.176166i	0.706610	+	0.707603i	$0.250224\pi$
$380$	0.112489	−	0.492845i	0.00577055	−	0.0252824i
$381$	1.43953	−	1.80511i	0.0737492	−	0.0924786i
$382$	27.9631	−	13.4663i	1.43072	−	0.688996i
$383$	13.1077	+	16.4365i	0.669770	+	0.839865i	0.994368	−	0.105987i	$-0.0338002\pi$
$383$	13.1077	+	16.4365i	0.669770	+	0.839865i	−0.324597	+	0.945852i	$0.605229\pi$
$384$	1.28819	+	0.620359i	0.0657376	+	0.0316575i
$385$	−4.73272	−	5.57397i	−0.241202	−	0.284076i
$386$	7.97926	−	3.84261i	0.406133	−	0.195584i
$387$	18.5916	+	8.95323i	0.945063	+	0.455118i
$388$	0.0572945	+	0.251024i	0.00290869	+	0.0127438i
$389$	9.54814	+	4.59814i	0.484110	+	0.233135i	0.659987	−	0.751277i	$-0.270562\pi$
$389$	9.54814	+	4.59814i	0.484110	+	0.233135i	−0.175877	+	0.984412i	$0.556276\pi$
$390$	−0.604235	+	0.757686i	−0.0305966	+	0.0383669i
$391$	31.6609			1.60116
$392$	−21.2021	+	1.30594i	−1.07087	+	0.0659597i
$393$	−1.26690			−0.0639064
$394$	−0.291833	+	0.365947i	−0.0147023	+	0.0184361i
$395$	9.86582	+	4.75113i	0.496403	+	0.239055i
$396$	−0.196486	−	0.860862i	−0.00987380	−	0.0432599i
$397$	8.96225	+	4.31599i	0.449802	+	0.216613i	0.645050	−	0.764141i	$-0.276837\pi$
$397$	8.96225	+	4.31599i	0.449802	+	0.216613i	−0.195247	+	0.980754i	$0.562551\pi$
$398$	5.45504	−	2.62701i	0.273437	−	0.131680i
$399$	−0.0369580	+	0.188467i	−0.00185022	+	0.00943515i
$400$	23.2170	+	11.1807i	1.16085	+	0.559036i
$401$	15.7736	+	19.7795i	0.787698	+	0.987741i	0.999945	+	0.0105254i	$0.00335040\pi$
$401$	15.7736	+	19.7795i	0.787698	+	0.987741i	−0.212247	+	0.977216i	$0.568078\pi$
$402$	−0.334561	+	0.161116i	−0.0166864	+	0.00803575i
$403$	−3.84973	+	4.82740i	−0.191768	+	0.240470i
$404$	0.501411	−	2.19682i	0.0249461	−	0.109296i
$405$	−19.6860	+	24.6854i	−0.978203	+	1.22663i
$406$	6.47127	−	8.64746i	0.321164	−	0.429166i
$407$	−5.02713	−	6.30382i	−0.249185	−	0.312469i
$408$	2.03378	−	0.979418i	0.100687	−	0.0484884i
$409$	4.05313	−	17.7579i	0.200414	−	0.878073i	−0.770271	−	0.637717i	$-0.779879\pi$
$409$	4.05313	−	17.7579i	0.200414	−	0.878073i	0.970685	−	0.240356i	$-0.0772640\pi$
$410$	−30.1898			−1.49097
$411$	2.62545			0.129504
$412$	0.514121	−	2.25251i	0.0253289	−	0.110973i
$413$	16.0931	+	18.9536i	0.791887	+	0.932647i
$414$	−7.39984	−	32.4208i	−0.363682	−	1.59340i
$415$	2.14710	+	9.40706i	0.105397	+	0.461774i
$416$	−1.37562	−	1.72497i	−0.0674452	−	0.0845737i
$417$	−2.39590	−	3.00436i	−0.117328	−	0.147124i
$418$	0.0738747	+	0.323666i	0.00361333	+	0.0158310i
$419$	−0.460193	−	2.01624i	−0.0224819	−	0.0984997i	0.962442	−	0.271487i	$-0.0875153\pi$
$419$	−0.460193	−	2.01624i	−0.0224819	−	0.0984997i	−0.984924	+	0.172987i	$0.944658\pi$
$420$	0.733289	+	0.325745i	0.0357808	+	0.0158947i
$421$	−2.26167	+	9.90905i	−0.110227	+	0.482937i	0.889438	+	0.457056i	$0.151096\pi$
$421$	−2.26167	+	9.90905i	−0.110227	+	0.482937i	−0.999665	+	0.0258810i	$0.991761\pi$
$422$	−17.4939			−0.851591
$423$	32.5470			1.58249
$424$	1.36859	−	5.99619i	0.0664647	−	0.291201i
$425$	27.1306	−	13.0654i	1.31603	−	0.633766i
$426$	−2.11528	−	2.65247i	−0.102485	−	0.128513i
$427$	−3.35252	+	0.103151i	−0.162240	+	0.00499183i
$428$	−4.42302	+	5.54629i	−0.213795	+	0.268090i
$429$	−0.0349969	+	0.153331i	−0.00168967	+	0.00740291i
$430$	−20.2094	+	25.3418i	−0.974584	+	1.22209i
$431$	0.585530	−	0.281976i	0.0282040	−	0.0135823i	−0.419729	−	0.907650i	$-0.637875\pi$
$431$	0.585530	−	0.281976i	0.0282040	−	0.0135823i	0.447933	+	0.894067i	$0.352160\pi$
$432$	−2.36404	−	2.96442i	−0.113740	−	0.142626i
$433$	−5.35449	−	2.57859i	−0.257320	−	0.123919i	0.300777	−	0.953695i	$-0.402754\pi$
$433$	−5.35449	−	2.57859i	−0.257320	−	0.123919i	−0.558097	+	0.829776i	$0.688468\pi$
$434$	−18.9062	−	8.39858i	−0.907526	−	0.403145i
$435$	−2.22262	+	1.07036i	−0.106567	+	0.0513198i
$436$	4.52180	+	2.17758i	0.216555	+	0.104287i
$437$	−0.687514	−	3.01219i	−0.0328882	−	0.144093i
$438$	−3.76921	−	1.81516i	−0.180100	−	0.0867315i
$439$	20.3296	−	25.4925i	0.970277	−	1.21669i	−0.00596025	−	0.999982i	$-0.501897\pi$
$439$	20.3296	−	25.4925i	0.970277	−	1.21669i	0.976237	−	0.216706i	$-0.0695314\pi$
$440$	8.38686			0.399828
$441$	19.1625	+	7.81600i	0.912498	+	0.372191i
$442$	4.51405			0.214712
$443$	11.0589	−	13.8674i	0.525423	−	0.658860i	−0.446328	−	0.894870i	$-0.647268\pi$
$443$	11.0589	−	13.8674i	0.525423	−	0.658860i	0.971751	+	0.236010i	$0.0758398\pi$
$444$	0.797144	+	0.383885i	0.0378308	+	0.0182184i
$445$	5.87512	+	25.7406i	0.278507	+	1.22022i
$446$	−3.02649	−	1.45748i	−0.143309	−	0.0690138i
$447$	1.14398	−	0.550913i	0.0541085	−	0.0260573i
$448$	14.1000	−	18.8416i	0.666161	−	0.890182i
$449$	2.57854	+	1.24176i	0.121689	+	0.0586023i	0.493738	−	0.869611i	$-0.335630\pi$
$449$	2.57854	+	1.24176i	0.121689	+	0.0586023i	−0.372049	+	0.928213i	$0.621345\pi$
$450$	−19.7201	−	24.7282i	−0.929612	−	1.16570i
$451$	−4.41421	+	2.12577i	−0.207857	+	0.100099i
$452$	3.99447	−	5.00891i	0.187884	−	0.235599i
$453$	−1.00211	+	4.39052i	−0.0470831	+	0.206285i
$454$	9.05486	−	11.3544i	0.424965	−	0.532890i
$455$	6.27972	+	7.39595i	0.294398	+	0.346727i
$456$	−0.137345	−	0.172225i	−0.00643175	−	0.00806517i
$457$	15.9861	−	7.69850i	0.747798	−	0.360121i	−0.0208583	−	0.999782i	$-0.506640\pi$
$457$	15.9861	−	7.69850i	0.747798	−	0.360121i	0.768656	+	0.639662i	$0.220926\pi$
$458$	−6.43000	+	28.1717i	−0.300454	+	1.31638i
$459$	−4.43078			−0.206811
$460$	−12.9082			−0.601846
$461$	−3.06103	+	13.4112i	−0.142566	+	0.624624i	0.852267	+	0.523106i	$0.175227\pi$
$461$	−3.06103	+	13.4112i	−0.142566	+	0.624624i	−0.994834	+	0.101518i	$0.967630\pi$
$462$	−0.526701	+	0.0162056i	−0.0245044	+	0.000753955i
$463$	8.20135	+	35.9324i	0.381149	+	1.66992i	0.693888	+	0.720083i	$0.255896\pi$
$463$	8.20135	+	35.9324i	0.381149	+	1.66992i	−0.312739	+	0.949839i	$0.601247\pi$
$464$	2.18808	+	9.58662i	0.101579	+	0.445048i
$465$	2.94608	+	3.69426i	0.136621	+	0.171317i
$466$	−19.7355	−	24.7476i	−0.914230	−	1.14641i
$467$	5.67780	+	24.8761i	0.262737	+	1.15113i	0.918268	+	0.395959i	$0.129588\pi$
$467$	5.67780	+	24.8761i	0.262737	+	1.15113i	−0.655531	+	0.755168i	$0.727555\pi$
$468$	0.260712	+	1.14225i	0.0120514	+	0.0528007i
$469$	0.938321	+	3.59726i	0.0433276	+	0.166106i
$470$	−11.3763	+	49.8427i	−0.524748	+	2.29907i
$471$	−3.53409			−0.162842
$472$	−28.5185			−1.31267
$473$	−1.17052	+	5.12837i	−0.0538204	+	0.235803i
$474$	0.710979	−	0.342390i	0.0326564	−	0.0157265i
$475$	−1.83218	−	2.29748i	−0.0840660	−	0.105415i
$476$	−0.943321	−	3.61642i	−0.0432370	−	0.165759i
$477$	−3.73594	+	4.68473i	−0.171057	+	0.214499i
$478$	2.06220	−	9.03508i	0.0943227	−	0.413255i
$479$	0.197020	−	0.247056i	0.00900209	−	0.0112883i	−0.777310	−	0.629118i	$-0.783416\pi$
$479$	0.197020	−	0.247056i	0.00900209	−	0.0112883i	0.786312	+	0.617829i	$0.211988\pi$
$480$	−1.52122	+	0.732582i	−0.0694340	+	0.0334376i
$481$	6.67036	+	8.36436i	0.304142	+	0.381382i
$482$	22.4495	+	10.8111i	1.02255	+	0.492434i
$483$	4.90174	−	0.150818i	0.223037	−	0.00686244i
$484$	−3.72475	+	1.79375i	−0.169307	+	0.0815339i
$485$	2.14664	+	1.03377i	0.0974738	+	0.0469409i
$486$	1.55714	+	6.82227i	0.0706333	+	0.309465i
$487$	1.31416	+	0.632866i	0.0595502	+	0.0286779i	0.463422	−	0.886138i	$-0.346621\pi$
$487$	1.31416	+	0.632866i	0.0595502	+	0.0286779i	−0.403872	+	0.914816i	$0.632336\pi$
$488$	2.39861	−	3.00776i	0.108580	−	0.136155i
$489$	−1.83478			−0.0829715
$490$	−18.6674	+	26.6135i	−0.843307	+	1.20228i
$491$	−24.4610			−1.10391			−0.551956	−	0.833873i	$-0.686118\pi$
$491$	−24.4610			−1.10391			−0.551956	+	0.833873i	$0.686118\pi$
$492$	0.335204	−	0.420332i	0.0151122	−	0.0189500i
$493$	10.3528	+	4.98563i	0.466265	+	0.224541i
$494$	−0.0980224	−	0.429464i	−0.00441023	−	0.0193225i
$495$	−7.36169	−	3.54520i	−0.330883	−	0.159345i
$496$	16.9692	−	8.17193i	0.761939	−	0.366930i
$497$	−30.1341	+	15.6712i	−1.35170	+	0.702948i
$498$	0.626491	+	0.301702i	0.0280737	+	0.0135196i
$499$	14.9387	+	18.7326i	0.668750	+	0.838585i	0.994264	−	0.106952i	$-0.0341090\pi$
$499$	14.9387	+	18.7326i	0.668750	+	0.838585i	−0.325515	+	0.945537i	$0.605538\pi$
$500$	−4.51443	+	2.17404i	−0.201892	+	0.0972259i
$501$	−1.22535	+	1.53654i	−0.0547447	+	0.0686477i
$502$	−6.86133	+	30.0615i	−0.306236	+	1.34171i
$503$	14.6599	−	18.3829i	0.653653	−	0.819655i	−0.338983	−	0.940793i	$-0.610083\pi$
$503$	14.6599	−	18.3829i	0.653653	−	0.819655i	0.992636	+	0.121138i	$0.0386543\pi$
$504$	−21.0593	+	10.9518i	−0.938055	+	0.487834i
$505$	−13.0005	−	16.3021i	−0.578513	−	0.725432i
$506$	7.63767	−	3.67811i	0.339536	−	0.163512i
$507$	0.0464364	−	0.203451i	0.00206231	−	0.00903559i
$508$	4.38452			0.194532
$509$	−12.9063			−0.572061			−0.286030	−	0.958221i	$-0.592336\pi$
$509$	−12.9063			−0.572061			−0.286030	+	0.958221i	$0.592336\pi$
$510$	0.768691	−	3.36785i	0.0340382	−	0.149131i
$511$	−25.0943	+	33.5332i	−1.11011	+	1.48342i
$512$	5.61717	+	24.6104i	0.248246	+	1.08764i
$513$	0.0962140	+	0.421541i	0.00424795	+	0.0186115i
$514$	−14.2836	−	17.9111i	−0.630023	−	0.790024i
$515$	−13.3300	−	16.7153i	−0.587391	−	0.736565i
$516$	−0.128444	−	0.562750i	−0.00565444	−	0.0247737i
$517$	1.84622	+	8.08880i	0.0811965	+	0.355745i
$518$	−21.4767	+	28.6990i	−0.943631	+	1.26096i
$519$	−0.135263	+	0.592625i	−0.00593738	+	0.0260133i
$520$	−11.1283			−0.488008
$521$	−22.2100			−0.973039			−0.486519	−	0.873670i	$-0.661734\pi$
$521$	−22.2100			−0.973039			−0.486519	+	0.873670i	$0.661734\pi$
$522$	2.68563	−	11.7665i	0.117547	−	0.515006i
$523$	20.4533	−	9.84979i	0.894361	−	0.430701i	0.0705118	−	0.997511i	$-0.477537\pi$
$523$	20.4533	−	9.84979i	0.894361	−	0.430701i	0.823849	+	0.566810i	$0.191822\pi$
$524$	−1.50004	−	1.88099i	−0.0655294	−	0.0821713i
$525$	4.13813	−	2.15203i	0.180603	−	0.0939222i
$526$	12.7994	−	16.0499i	0.558079	−	0.699809i
$527$	4.89751	−	21.4574i	0.213339	−	0.934700i
$528$	0.299115	−	0.375079i	0.0130173	−	0.0163232i
$529$	−50.3576	+	24.2509i	−2.18946	+	1.05439i
$530$	−5.86838	−	7.35871i	−0.254906	−	0.319642i
$531$	25.0326	+	12.0550i	1.08632	+	0.523144i
$532$	−0.323580	+	0.168277i	−0.0140290	+	0.00729575i
$533$	5.85709	−	2.82063i	0.253699	−	0.122175i
$534$	1.71427	+	0.825549i	0.0741837	+	0.0357250i
$535$	14.6072	+	63.9983i	0.631524	+	2.76689i
$536$	−3.84174	−	1.85009i	−0.165938	−	0.0799116i
$537$	−0.396150	+	0.496756i	−0.0170951	+	0.0214366i
$538$	33.5047			1.44449
$539$	−0.855502	+	5.20573i	−0.0368491	+	0.224227i
$540$	1.80643			0.0777364
$541$	−3.53705	+	4.43532i	−0.152070	+	0.190689i	−0.852031	−	0.523491i	$-0.824629\pi$
$541$	−3.53705	+	4.43532i	−0.152070	+	0.190689i	0.699961	+	0.714181i	$0.253201\pi$
$542$	−30.0661	−	14.4791i	−1.29145	−	0.621930i
$543$	−0.186659	−	0.817808i	−0.00801032	−	0.0350955i
$544$	7.08570	+	3.41229i	0.303797	+	0.146301i
$545$	41.8425	−	20.1503i	1.79234	−	0.863144i
$546$	0.698865	−	0.0215028i	0.0299087	−	0.000920236i
$547$	12.8707	+	6.19818i	0.550310	+	0.265015i	0.688310	−	0.725417i	$-0.258353\pi$
$547$	12.8707	+	6.19818i	0.550310	+	0.265015i	−0.138000	+	0.990432i	$0.544067\pi$
$548$	3.10859	+	3.89805i	0.132793	+	0.166517i
$549$	−3.37682	+	1.62619i	−0.144119	+	0.0694042i
$550$	5.02699	−	6.30365i	0.214352	−	0.268788i
$551$	0.249520	−	1.09322i	0.0106299	−	0.0465727i
$552$	−3.50702	+	4.39766i	−0.149269	+	0.187177i
$553$	−1.99403	−	7.64456i	−0.0847950	−	0.325080i
$554$	5.02353	+	6.29931i	0.213430	+	0.267632i
$555$	7.37639	−	3.55228i	0.313110	−	0.150786i
$556$	1.62383	−	7.11448i	0.0688659	−	0.301721i
$557$	−26.2621			−1.11276			−0.556379	−	0.830928i	$-0.687810\pi$
$557$	−26.2621			−1.11276			−0.556379	+	0.830928i	$0.687810\pi$
$558$	−23.1171			−0.978625
$559$	1.55313	−	6.80469i	0.0656902	−	0.287808i
$560$	−7.46986	−	28.6373i	−0.315659	−	1.21015i
$561$	−0.124748	−	0.546557i	−0.00526687	−	0.0230757i
$562$	2.11375	+	9.26096i	0.0891633	+	0.390650i
$563$	−6.45730	−	8.09720i	−0.272143	−	0.341256i	0.626914	−	0.779089i	$-0.284318\pi$
$563$	−6.45730	−	8.09720i	−0.272143	−	0.341256i	−0.899057	+	0.437832i	$0.855746\pi$
$564$	−0.567646	−	0.711806i	−0.0239022	−	0.0299724i
$565$	−13.1919	−	57.7975i	−0.554988	−	2.43156i
$566$	0.645421	+	2.82777i	0.0271291	+	0.118860i
$567$	22.7690	−	0.700562i	0.956209	−	0.0294208i
$568$	8.66884	−	37.9807i	0.363737	−	1.59363i
$569$	0.0461937			0.00193654			0.000968270	−	1.00000i	$-0.499692\pi$
$569$	0.0461937			0.00193654			0.000968270		1.00000i	$0.499692\pi$
$570$	−0.337108			−0.0141199
$571$	−1.78549	+	7.82273i	−0.0747203	+	0.327371i	−0.998449	−	0.0556767i	$-0.982268\pi$
$571$	−1.78549	+	7.82273i	−0.0747203	+	0.327371i	0.923729	+	0.383048i	$0.125126\pi$
$572$	−0.269092	+	0.129588i	−0.0112513	+	0.00541833i
$573$	3.18882	+	3.99865i	0.133215	+	0.167046i
$574$	14.0977	+	16.6036i	0.588426	+	0.693020i
$575$	−46.7836	+	58.6648i	−1.95101	+	2.44649i
$576$	5.85161	−	25.6376i	0.243817	−	1.06823i
$577$	4.28446	−	5.37255i	0.178365	−	0.223662i	−0.684610	−	0.728910i	$-0.740027\pi$
$577$	4.28446	−	5.37255i	0.178365	−	0.223662i	0.862974	+	0.505248i	$0.168599\pi$
$578$	4.89930	−	2.35938i	0.203784	−	0.0981372i
$579$	0.909929	+	1.14102i	0.0378154	+	0.0474190i
$580$	−4.22083	−	2.03264i	−0.175260	−	0.0844010i
$581$	4.17100	−	5.57365i	0.173042	−	0.231234i
$582$	0.154697	−	0.0744982i	0.00641240	−	0.00308805i
$583$	−1.37620	−	0.662742i	−0.0569963	−	0.0274480i
$584$	−10.6897	−	46.8345i	−0.442341	−	1.93802i
$585$	9.76803	+	4.70403i	0.403858	+	0.194488i
$586$	10.0600	−	12.6148i	0.415575	−	0.521114i
$587$	5.74032			0.236928			0.118464	−	0.992958i	$-0.462203\pi$
$587$	5.74032			0.236928			0.118464	+	0.992958i	$0.462203\pi$
$588$	−0.163272	−	0.555401i	−0.00673322	−	0.0229044i
$589$	−2.14779			−0.0884983
$590$	−27.2109	+	34.1214i	−1.12025	+	1.40475i
$591$	−0.0694929	−	0.0334660i	−0.00285856	−	0.00137661i
$592$	−7.26175	−	31.8158i	−0.298456	−	1.30762i
$593$	17.3033	+	8.33285i	0.710563	+	0.342189i	0.754007	−	0.656867i	$-0.228119\pi$
$593$	17.3033	+	8.33285i	0.710563	+	0.342189i	−0.0434438	+	0.999056i	$0.513833\pi$
$594$	−1.06885	+	0.514733i	−0.0438556	+	0.0211197i
$595$	−31.6062	−	14.0402i	−1.29573	−	0.575593i
$596$	2.17246	+	1.04620i	0.0889873	+	0.0428540i
$597$	0.622076	+	0.780058i	0.0254599	+	0.0319257i
$598$	−10.1342	+	4.88038i	−0.414419	+	0.199574i
$599$	−4.29889	+	5.39064i	−0.175648	+	0.220255i	−0.861860	−	0.507146i	$-0.830701\pi$
$599$	−4.29889	+	5.39064i	−0.175648	+	0.220255i	0.686212	+	0.727401i	$0.259272\pi$
$600$	−1.19044	+	5.21565i	−0.0485995	+	0.212928i
$601$	0.00342241	−	0.00429157i	0.000139603	−	0.000175057i	−0.781762	−	0.623577i	$-0.785679\pi$
$601$	0.00342241	−	0.00429157i	0.000139603	−	0.000175057i	0.781901	+	0.623402i	$0.214250\pi$
$602$	23.3745	−	0.719190i	0.952672	−	0.0293120i
$603$	2.59010	+	3.24788i	0.105477	+	0.132264i
$604$	−7.70522	+	3.71064i	−0.313521	+	0.150984i
$605$	−8.51266	+	37.2964i	−0.346089	+	1.51631i
$606$	−1.50263			−0.0610403
$607$	−39.2898			−1.59472			−0.797362	−	0.603501i	$-0.793772\pi$
$607$	−39.2898			−1.59472			−0.797362	+	0.603501i	$0.793772\pi$
$608$	0.170778	−	0.748227i	0.00692596	−	0.0303446i
$609$	1.62656	+	0.722559i	0.0659117	+	0.0292796i
$610$	−1.31005	−	5.73970i	−0.0530423	−	0.232394i
$611$	−2.44969	−	10.7328i	−0.0991040	−	0.434203i
$612$	−2.60390	−	3.26519i	−0.105256	−	0.131987i
$613$	−0.990446	−	1.24198i	−0.0400037	−	0.0501631i	0.761427	−	0.648250i	$-0.224499\pi$
$613$	−0.990446	−	1.24198i	−0.0400037	−	0.0501631i	−0.801431	+	0.598087i	$0.795928\pi$
$614$	−3.81220	−	16.7023i	−0.153848	−	0.674051i
$615$	−1.10702	−	4.85019i	−0.0446395	−	0.195579i
$616$	−3.91640	−	4.61255i	−0.157796	−	0.185845i
$617$	5.90473	−	25.8703i	0.237716	−	1.04150i	−0.705341	−	0.708868i	$-0.749206\pi$
$617$	5.90473	−	25.8703i	0.237716	−	1.04150i	0.943057	−	0.332632i	$-0.107937\pi$
$618$	−1.54073			−0.0619771
$619$	8.71412			0.350250			0.175125	−	0.984546i	$-0.443967\pi$
$619$	8.71412			0.350250			0.175125	+	0.984546i	$0.443967\pi$
$620$	−1.99672	+	8.74820i	−0.0801902	+	0.351336i
$621$	9.94727	−	4.79035i	0.399170	−	0.192230i
$622$	−14.7643	−	18.5139i	−0.591995	−	0.742339i
$623$	11.4131	−	15.2512i	0.457257	−	0.611026i
$624$	−0.396888	+	0.497682i	−0.0158882	+	0.0199232i
$625$	−0.918309	+	4.02337i	−0.0367324	+	0.160935i
$626$	18.4160	−	23.0929i	0.736051	−	0.922978i
$627$	−0.0492902	+	0.0237369i	−0.00196846	+	0.000947961i
$628$	−4.18445	−	5.24713i	−0.166978	−	0.209383i
$629$	−34.3585	−	16.5462i	−1.36996	−	0.659739i
$630$	−6.99017	+	35.6463i	−0.278495	+	1.42018i
$631$	−7.40290	+	3.56505i	−0.294705	+	0.141922i	−0.575394	−	0.817876i	$-0.695151\pi$
$631$	−7.40290	+	3.56505i	−0.294705	+	0.141922i	0.280689	+	0.959799i	$0.409437\pi$
$632$	8.16412	+	3.93163i	0.324751	+	0.156392i
$633$	−0.641481	−	2.81051i	−0.0254966	−	0.111708i
$634$	−3.46198	−	1.66720i	−0.137493	−	0.0662131i
$635$	25.2964	−	31.7206i	1.00386	−	1.25880i
$636$	0.167613			0.00664629
$637$	1.13514	−	6.90735i	0.0449760	−	0.273679i
$638$	3.07663			0.121805
$639$	−23.6640	+	29.6737i	−0.936132	+	1.17387i
$640$	22.6369	+	10.9014i	0.894803	+	0.430915i
$641$	−2.63874	−	11.5611i	−0.104224	−	0.456636i	−0.999928	−	0.0119849i	$-0.996185\pi$
$641$	−2.63874	−	11.5611i	−0.104224	−	0.456636i	0.895704	−	0.444651i	$-0.146672\pi$
$642$	4.26216	+	2.05255i	0.168214	+	0.0810076i
$643$	−13.4800	+	6.49164i	−0.531601	+	0.256005i	−0.680373	−	0.732866i	$-0.738182\pi$
$643$	−13.4800	+	6.49164i	−0.531601	+	0.256005i	0.148772	+	0.988871i	$0.452468\pi$
$644$	6.02770	+	7.09914i	0.237525	+	0.279745i
$645$	−4.81238	−	2.31752i	−0.189487	−	0.0912522i
$646$	0.979012	+	1.22764i	0.0385187	+	0.0483009i
$647$	13.0913	−	6.30441i	0.514670	−	0.247852i	−0.158474	−	0.987363i	$-0.550657\pi$
$647$	13.0913	−	6.30441i	0.514670	−	0.247852i	0.673144	+	0.739511i	$0.264943\pi$
$648$	−16.2904	+	20.4276i	−0.639949	+	0.802471i
$649$	−1.57604	+	6.90507i	−0.0618649	+	0.271048i
$650$	−6.67018	+	8.36414i	−0.261626	+	0.328068i
$651$	0.656020	−	3.34537i	0.0257115	−	0.131115i
$652$	−2.17242	−	2.72413i	−0.0850786	−	0.106685i
$653$	21.0574	−	10.1407i	0.824041	−	0.396837i	0.0261638	−	0.999658i	$-0.491671\pi$
$653$	21.0574	−	10.1407i	0.824041	−	0.396837i	0.797877	+	0.602821i	$0.205957\pi$
$654$	0.744737	−	3.26291i	0.0291215	−	0.127590i
$655$	−22.2628			−0.869879
$656$	−19.8300			−0.774232
$657$	−10.4143	+	45.6282i	−0.406302	+	1.78013i
$658$	32.7245	−	17.0183i	1.27573	−	0.663444i
$659$	2.40672	+	10.5445i	0.0937524	+	0.410756i	0.999926	−	0.0121495i	$-0.00386739\pi$
$659$	2.40672	+	10.5445i	0.0937524	+	0.410756i	−0.906174	+	0.422905i	$0.861010\pi$
$660$	0.0508599	+	0.222832i	0.00197972	+	0.00867371i
$661$	18.4405	+	23.1236i	0.717251	+	0.899404i	0.998179	−	0.0603250i	$-0.0192137\pi$
$661$	18.4405	+	23.1236i	0.717251	+	0.899404i	−0.280928	+	0.959729i	$0.590642\pi$
$662$	3.93607	+	4.93567i	0.152980	+	0.191830i
$663$	0.165525	+	0.725212i	0.00642845	+	0.0281649i
$664$	1.77676	+	7.78449i	0.0689516	+	0.302097i
$665$	−0.649452	+	3.31187i	−0.0251847	+	0.128429i
$666$	−8.91299	+	39.0504i	−0.345371	+	1.51317i
$667$	−28.6326			−1.10866
$668$	−3.73219			−0.144403
$669$	0.123176	−	0.539670i	0.00476226	−	0.0208648i
$670$	−5.87915	+	2.83125i	−0.227131	+	0.109381i
$671$	−0.595701	−	0.746985i	−0.0229968	−	0.0288370i
$672$	1.11326	+	0.494538i	0.0429450	+	0.0190772i
$673$	0.244263	−	0.306297i	0.00941567	−	0.0118069i	−0.777101	−	0.629375i	$-0.783311\pi$
$673$	0.244263	−	0.306297i	0.00941567	−	0.0118069i	0.786517	+	0.617569i	$0.211882\pi$
$674$	−3.01427	+	13.2064i	−0.116105	+	0.508691i
$675$	6.54713	−	8.20984i	0.251999	−	0.315997i
$676$	0.357050	−	0.171946i	0.0137327	−	0.00661332i
$677$	−20.0148	−	25.0978i	−0.769232	−	0.964586i	0.230733	−	0.973017i	$-0.425888\pi$
$677$	−20.0148	−	25.0978i	−0.769232	−	0.964586i	−0.999964	+	0.00843112i	$0.997316\pi$
$678$	−3.84920	−	1.85368i	−0.147827	−	0.0711900i
$679$	−0.433868	−	1.66333i	−0.0166503	−	0.0638327i
$680$	35.7391	−	17.2110i	1.37053	−	0.660013i
$681$	2.15619	+	1.03837i	0.0826255	+	0.0397904i
$682$	−1.31131	−	5.74521i	−0.0502125	−	0.219995i
$683$	43.2481	+	20.8272i	1.65484	+	0.796930i	0.999121	+	0.0419264i	$0.0133495\pi$
$683$	43.2481	+	20.8272i	1.65484	+	0.796930i	0.655721	+	0.755003i	$0.272365\pi$
$684$	−0.254104	+	0.318637i	−0.00971591	+	0.0121834i
$685$	46.1362			1.76277
$686$	23.3538	−	2.16112i	0.891652	−	0.0825120i
$687$	−4.76174			−0.181672
$688$	−13.2744	+	16.6456i	−0.506083	+	0.634608i
$689$	1.82604	+	0.879374i	0.0695665	+	0.0335015i
$690$	1.91543	+	8.39203i	0.0729191	+	0.319479i
$691$	−11.2397	−	5.41274i	−0.427577	−	0.205910i	0.207703	−	0.978192i	$-0.433401\pi$
$691$	−11.2397	−	5.41274i	−0.427577	−	0.205910i	−0.635280	+	0.772281i	$0.719116\pi$
$692$	−1.04004	+	0.500855i	−0.0395363	+	0.0190397i
$693$	1.48791	+	5.70423i	0.0565211	+	0.216686i
$694$	−20.2109	−	9.73306i	−0.767196	−	0.369462i
$695$	−42.1024	−	52.7947i	−1.59703	−	2.00262i
$696$	−1.83926	+	0.885739i	−0.0697169	+	0.0335739i
$697$	−14.4479	+	18.1171i	−0.547255	+	0.686236i
$698$	5.26210	−	23.0548i	0.199173	−	0.872636i
$699$	3.25218	−	4.07810i	0.123009	−	0.154248i
$700$	8.09481	+	3.59591i	0.305955	+	0.135913i
$701$	23.0543	+	28.9092i	0.870749	+	1.09188i	0.995024	+	0.0996364i	$0.0317680\pi$
$701$	23.0543	+	28.9092i	0.870749	+	1.09188i	−0.124275	+	0.992248i	$0.539661\pi$
$702$	1.41823	−	0.682985i	0.0535277	−	0.0257776i
$703$	−0.828100	+	3.62814i	−0.0312324	+	0.136838i
$704$	6.70354			0.252649
$705$	−8.42471			−0.317293
$706$	2.57023	−	11.2609i	0.0967320	−	0.423811i
$707$	−2.89489	+	14.7624i	−0.108873	+	0.555199i
$708$	−0.172943	−	0.757713i	−0.00649960	−	0.0284766i
$709$	−0.819163	−	3.58899i	−0.0307643	−	0.134787i	0.957214	−	0.289382i	$-0.0934499\pi$
$709$	−0.819163	−	3.58899i	−0.0307643	−	0.134787i	−0.987978	+	0.154595i	$0.950593\pi$
$710$	−37.1711	−	46.6111i	−1.39501	−	1.74928i
$711$	−5.50424	−	6.90210i	−0.206425	−	0.258849i
$712$	4.86175	+	21.3007i	0.182202	+	0.798279i
$713$	12.2037	+	53.4677i	0.457030	+	2.00238i
$714$	−2.21118	+	1.14992i	−0.0827514	+	0.0430348i
$715$	−0.614990	+	2.69445i	−0.0229993	+	0.100767i
$716$	−1.20660			−0.0450926
$717$	1.52716			0.0570329
$718$	0.497471	−	2.17956i	0.0185655	−	0.0813406i
$719$	−8.66123	+	4.17103i	−0.323009	+	0.155553i	−0.588361	−	0.808599i	$-0.700226\pi$
$719$	−8.66123	+	4.17103i	−0.323009	+	0.155553i	0.265351	+	0.964152i	$0.414512\pi$
$720$	−20.6195	−	25.8560i	−0.768442	−	0.963595i
$721$	−2.96827	+	15.1367i	−0.110544	+	0.563719i
$722$	−14.9063	+	18.6919i	−0.554756	+	0.695642i
$723$	−0.913681	+	4.00310i	−0.0339802	+	0.148877i
$724$	0.993207	−	1.24544i	0.0369122	−	0.0462865i
$725$	−24.5357	+	11.8158i	−0.911232	+	0.438826i
$726$	1.71889	+	2.15542i	0.0637939	+	0.0799950i
$727$	−16.1985	−	7.80077i	−0.600768	−	0.289315i	0.108675	−	0.994077i	$-0.465339\pi$
$727$	−16.1985	−	7.80077i	−0.600768	−	0.289315i	−0.709443	+	0.704763i	$0.751053\pi$
$728$	5.19656	+	6.12026i	0.192597	+	0.226832i
$729$	22.2330	−	10.7068i	0.823443	−	0.396549i
$730$	−66.2352	−	31.8972i	−2.45147	−	1.18057i
$731$	5.53619	+	24.2556i	0.204763	+	0.897127i
$732$	0.0944594	+	0.0454893i	0.00349132	+	0.00168133i
$733$	16.5326	−	20.7313i	0.610646	−	0.765726i	−0.376348	−	0.926478i	$-0.622820\pi$
$733$	16.5326	−	20.7313i	0.610646	−	0.765726i	0.986995	+	0.160752i	$0.0513919\pi$
$734$	−27.1124			−1.00074
$735$	−4.96015	−	2.02315i	−0.182958	−	0.0746250i
$736$	−19.5969			−0.722351
$737$	−0.660262	+	0.827942i	−0.0243211	+	0.0304976i
$738$	21.9288	+	10.5604i	0.807210	+	0.388732i
$739$	−2.49542	−	10.9331i	−0.0917954	−	0.402182i	0.908066	−	0.418827i	$-0.137559\pi$
$739$	−2.49542	−	10.9331i	−0.0917954	−	0.402182i	−0.999861	+	0.0166451i	$0.994701\pi$
$740$	14.0080	+	6.74589i	0.514944	+	0.247984i
$741$	0.0654018	−	0.0314959i	0.00240260	−	0.00115703i
$742$	−1.30675	+	6.66373i	−0.0479721	+	0.244633i
$743$	−25.4117	−	12.2376i	−0.932265	−	0.448955i	−0.0948311	−	0.995493i	$-0.530231\pi$
$743$	−25.4117	−	12.2376i	−0.932265	−	0.448955i	−0.837434	+	0.546538i	$0.815945\pi$
$744$	2.43792	+	3.05706i	0.0893786	+	0.112077i
$745$	20.1029	−	9.68103i	0.736512	−	0.354686i
$746$	25.5523	−	32.0415i	0.935535	−	1.17312i
$747$	1.73100	−	7.58400i	0.0633339	−	0.277484i
$748$	0.663780	−	0.832354i	0.0242702	−	0.0304339i
$749$	28.3762	−	37.9188i	1.03685	−	1.38552i
$750$	2.08331	+	2.61238i	0.0760716	+	0.0953908i
$751$	−29.1441	+	14.0350i	−1.06348	+	0.512146i	−0.882000	−	0.471248i	$-0.843804\pi$
$751$	−29.1441	+	14.0350i	−1.06348	+	0.512146i	−0.181481	+	0.983394i	$0.558089\pi$
$752$	−7.47244	+	32.7389i	−0.272492	+	1.19386i
$753$	−5.08117			−0.185168
$754$	−4.08229			−0.148668
$755$	−17.6097	+	77.1533i	−0.640884	+	2.80790i
$756$	−0.843546	−	0.993488i	−0.0306795	−	0.0361328i
$757$	−0.324181	−	1.42033i	−0.0117826	−	0.0516228i	0.968695	−	0.248254i	$-0.0798569\pi$
$757$	−0.324181	−	1.42033i	−0.0117826	−	0.0516228i	−0.980477	+	0.196632i	$0.937000\pi$
$758$	1.23612	+	5.41580i	0.0448980	+	0.196711i
$759$	0.870976	+	1.09217i	0.0316144	+	0.0396433i
$760$	−2.41352	−	3.02645i	−0.0875475	−	0.109781i
$761$	−4.63029	−	20.2866i	−0.167848	−	0.735389i	−0.986855	−	0.161606i	$-0.948333\pi$
$761$	−4.63029	−	20.2866i	−0.167848	−	0.735389i	0.819008	−	0.573783i	$-0.194525\pi$
$762$	−0.650614	−	2.85053i	−0.0235693	−	0.103264i
$763$	−30.6213	−	13.6027i	−1.10856	−	0.492451i
$764$	−2.16124	+	9.46902i	−0.0781910	+	0.342577i
$765$	−38.6457			−1.39724
$766$	26.6231			0.961930
$767$	2.09120	−	9.16215i	0.0755089	−	0.330826i
$768$	−1.71340	+	0.825131i	−0.0618271	+	0.0297743i
$769$	−9.39198	−	11.7772i	−0.338683	−	0.424696i	0.583100	−	0.812400i	$-0.301839\pi$
$769$	−9.39198	−	11.7772i	−0.338683	−	0.424696i	−0.921784	+	0.387705i	$0.873268\pi$
$770$	−9.25556	+	0.284777i	−0.333547	+	0.0102626i
$771$	2.35377	−	2.95153i	0.0847689	−	0.106297i
$772$	−0.616710	+	2.70198i	−0.0221959	+	0.0972465i
$773$	−27.7215	+	34.7617i	−0.997074	+	1.25029i	−0.0290121	+	0.999579i	$0.509236\pi$
$773$	−27.7215	+	34.7617i	−0.997074	+	1.25029i	−0.968062	+	0.250712i	$0.919335\pi$
$774$	23.5439	−	11.3381i	0.846268	−	0.407541i
$775$	32.5219	+	40.7811i	1.16822	+	1.46490i
$776$	1.77638	+	0.855458i	0.0637682	+	0.0307091i
$777$	−5.39820	−	2.39801i	−0.193659	−	0.0860282i
$778$	12.0915	−	5.82297i	0.433502	−	0.208764i
$779$	2.03739	+	0.981155i	0.0729970	+	0.0351535i
$780$	−0.0674846	−	0.295669i	−0.00241634	−	0.0105867i
$781$	−8.71702	−	4.19790i	−0.311920	−	0.150213i
$782$	24.9985	−	31.3472i	0.893945	−	1.12097i
$783$	4.00698			0.143198
$784$	−12.2616	+	17.4809i	−0.437913	+	0.624320i
$785$	−62.1034			−2.21657
$786$	−1.00030	+	1.25434i	−0.0356797	+	0.0447409i
$787$	−15.7206	−	7.57063i	−0.560378	−	0.269864i	0.132180	−	0.991226i	$-0.457802\pi$
$787$	−15.7206	−	7.57063i	−0.560378	−	0.269864i	−0.692558	+	0.721362i	$0.743517\pi$
$788$	−0.0325937	−	0.142802i	−0.00116110	−	0.00508712i
$789$	3.04786	+	1.46777i	0.108507	+	0.0522541i
$790$	12.4938	−	6.01671i	0.444510	−	0.214065i
$791$	−25.6269	+	34.2448i	−0.911186	+	1.21760i
$792$	−6.09191	−	2.93371i	−0.216467	−	0.104245i
$793$	0.790419	+	0.991154i	0.0280686	+	0.0351969i
$794$	11.3496	−	5.46566i	0.402781	−	0.193969i
$795$	0.967039	−	1.21263i	0.0342973	−	0.0430075i
$796$	−0.421616	+	1.84722i	−0.0149438	+	0.0654729i
$797$	−11.9173	+	14.9439i	−0.422134	+	0.529339i	−0.946737	−	0.322008i	$-0.895642\pi$
$797$	−11.9173	+	14.9439i	−0.422134	+	0.529339i	0.524603	+	0.851347i	$0.324214\pi$
$798$	0.157419	+	0.185400i	0.00557256	+	0.00656309i
$799$	24.4667	+	30.6802i	0.865568	+	1.08539i
$800$	−16.7928	+	8.08701i	−0.593717	+	0.285919i
$801$	4.73654	−	20.7521i	0.167357	−	0.733241i
$802$	32.0379			1.13130
$803$	−11.9306			−0.421021
$804$	0.0258580	−	0.113291i	0.000911940	−	0.00399547i
$805$	86.1367	−	2.65027i	3.03592	−	0.0934098i
$806$	1.73994	+	7.62316i	0.0612867	+	0.268514i
$807$	1.22858	+	5.38275i	0.0432480	+	0.189482i
$808$	−10.7581	−	13.4902i	−0.378468	−	0.474584i
$809$	−30.4915	−	38.2351i	−1.07202	−	1.34428i	−0.935376	−	0.353655i	$-0.884939\pi$
$809$	−30.4915	−	38.2351i	−1.07202	−	1.34428i	−0.136648	−	0.990620i	$-0.543633\pi$
$810$	8.89734	+	38.9818i	0.312621	+	1.36968i
$811$	0.654642	+	2.86817i	0.0229876	+	0.100715i	0.985120	−	0.171866i	$-0.0549797\pi$
$811$	0.654642	+	2.86817i	0.0229876	+	0.100715i	−0.962133	+	0.272581i	$0.912123\pi$
$812$	0.853094	+	3.27052i	0.0299377	+	0.114773i
$813$	1.22367	−	5.36125i	0.0429160	−	0.188027i
$814$	−10.2106			−0.357883
$815$	−32.2420			−1.12939
$816$	0.504910	−	2.21216i	0.0176754	−	0.0774409i
$817$	2.18745	−	1.05342i	0.0765291	−	0.0368545i
$818$	−14.3817	−	18.0341i	−0.502845	−	0.630548i
$819$	−1.97427	−	7.56878i	−0.0689865	−	0.264475i
$820$	5.89043	−	7.38637i	0.205703	−	0.257943i
$821$	10.8023	−	47.3280i	0.377003	−	1.65176i	−0.329579	−	0.944128i	$-0.606907\pi$
$821$	10.8023	−	47.3280i	0.377003	−	1.65176i	0.706582	−	0.707631i	$-0.250236\pi$
$822$	2.07298	−	2.59943i	0.0723034	−	0.0906656i
$823$	−20.1582	+	9.70766i	−0.702669	+	0.338388i	−0.750870	−	0.660450i	$-0.770366\pi$
$823$	−20.1582	+	9.70766i	−0.702669	+	0.338388i	0.0482008	+	0.998838i	$0.484651\pi$
$824$	−11.0308	−	13.8322i	−0.384276	−	0.481867i
$825$	1.19706	+	0.576471i	0.0416761	+	0.0200702i
$826$	31.4724	−	0.968351i	1.09507	−	0.0336932i
$827$	39.2129	−	18.8839i	1.36356	−	0.656658i	0.398136	−	0.917326i	$-0.369657\pi$
$827$	39.2129	−	18.8839i	1.36356	−	0.656658i	0.965429	+	0.260668i	$0.0839428\pi$
$828$	9.37602	+	4.51525i	0.325839	+	0.156916i
$829$	−8.72876	−	38.2432i	−0.303162	−	1.32824i	−0.865324	−	0.501213i	$-0.832887\pi$
$829$	−8.72876	−	38.2432i	−0.303162	−	1.32824i	0.562162	−	0.827027i	$-0.309970\pi$
$830$	11.0091	+	5.30172i	0.382133	+	0.184025i
$831$	−0.827819	+	1.03805i	−0.0287167	+	0.0360096i
$832$	−8.89474			−0.308370
$833$	7.03734	+	23.9389i	0.243829	+	0.829433i
$834$	−4.86633			−0.168507
$835$	−21.5328	+	27.0012i	−0.745172	+	0.934416i
$836$	−0.0936035	−	0.0450771i	−0.00323735	−	0.00155902i
$837$	−1.70784	−	7.48253i	−0.0590315	−	0.258634i
$838$	−2.35962	−	1.13633i	−0.0815116	−	0.0392539i
$839$	−0.178872	+	0.0861404i	−0.00617536	+	0.00297390i	−0.436969	−	0.899477i	$-0.643948\pi$
$839$	−0.178872	+	0.0861404i	−0.00617536	+	0.00297390i	0.430794	+	0.902451i	$0.358234\pi$
$840$	5.45113	−	2.83485i	0.188082	−	0.0978118i
$841$	16.7655	+	8.07386i	0.578122	+	0.278409i
$842$	8.02511	+	10.0632i	0.276563	+	0.346800i
$843$	−1.41032	+	0.679176i	−0.0485742	+	0.0233921i
$844$	3.41330	−	4.28014i	0.117491	−	0.147329i
$845$	0.816013	−	3.57519i	0.0280717	−	0.122990i
$846$	25.6982	−	32.2245i	0.883523	−	1.10790i
$847$	24.4871	−	12.7345i	0.841388	−	0.437563i
$848$	−3.85461	−	4.83353i	−0.132368	−	0.165984i
$849$	−0.430633	+	0.207382i	−0.0147793	+	0.00711733i
$850$	8.48561	−	37.1779i	0.291054	−	1.27519i
$851$	95.0251			3.25742
$852$	1.06168			0.0363727
$853$	6.13188	−	26.8655i	0.209952	−	0.919858i	−0.754646	−	0.656132i	$-0.772191\pi$
$853$	6.13188	−	26.8655i	0.209952	−	0.919858i	0.964598	−	0.263726i	$-0.0849515\pi$
$854$	−2.54493	+	3.40075i	−0.0870856	+	0.116371i
$855$	0.839189	+	3.67673i	0.0286997	+	0.125741i
$856$	12.0877	+	52.9596i	0.413149	+	1.81012i
$857$	−5.07651	−	6.36574i	−0.173410	−	0.217449i	0.687530	−	0.726156i	$-0.258695\pi$
$857$	−5.07651	−	6.36574i	−0.173410	−	0.217449i	−0.860940	+	0.508707i	$0.830124\pi$
$858$	0.124180	+	0.155716i	0.00423942	+	0.00531606i
$859$	7.73738	+	33.8997i	0.263996	+	1.15664i	0.916873	+	0.399178i	$0.130705\pi$
$859$	7.73738	+	33.8997i	0.263996	+	1.15664i	−0.652877	+	0.757464i	$0.726438\pi$
$860$	−2.25711	−	9.88904i	−0.0769668	−	0.337213i
$861$	−2.15053	+	2.87372i	−0.0732898	+	0.0979361i
$862$	0.183135	−	0.802369i	0.00623762	−	0.0273288i
$863$	17.3138			0.589367			0.294684	−	0.955595i	$-0.404786\pi$
$863$	17.3138			0.589367			0.294684	+	0.955595i	$0.404786\pi$
$864$	2.74248			0.0933012
$865$	−2.37693	+	10.4140i	−0.0808181	+	0.354087i
$866$	−6.78079	+	3.26546i	−0.230421	+	0.110965i
$867$	0.558701	+	0.700589i	0.0189745	+	0.0237932i
$868$	5.74368	−	2.98699i	0.194953	−	0.101385i
$869$	1.40313	−	1.75947i	0.0475979	−	0.0596858i
$870$	−0.695167	+	3.04573i	−0.0235684	+	0.103260i
$871$	0.876083	−	1.09857i	0.0296850	−	0.0372238i
$872$	34.6254	−	16.6747i	1.17256	−	0.564677i
$873$	−1.19763	−	1.50178i	−0.0405336	−	0.0508276i
$874$	−3.52519	−	1.69764i	−0.119241	−	0.0574236i
$875$	29.6786	−	15.4343i	1.00332	−	0.521776i
$876$	1.17953	−	0.568030i	0.0398525	−	0.0191920i
$877$	8.25167	+	3.97379i	0.278639	+	0.134185i	0.567984	−	0.823039i	$-0.307723\pi$
$877$	8.25167	+	3.97379i	0.278639	+	0.134185i	−0.289345	+	0.957225i	$0.593438\pi$
$878$	−9.18822	−	40.2562i	−0.310087	−	1.35858i
$879$	2.39554	+	1.15363i	0.0807997	+	0.0389111i
$880$	5.25626	−	6.59115i	0.177189	−	0.222188i
$881$	40.5210			1.36519			0.682594	−	0.730797i	$-0.260852\pi$
$881$	40.5210			1.36519			0.682594	+	0.730797i	$0.260852\pi$
$882$	22.8687	−	12.8013i	0.770029	−	0.431042i
$883$	−15.8150			−0.532217			−0.266109	−	0.963943i	$-0.585738\pi$
$883$	−15.8150			−0.532217			−0.266109	+	0.963943i	$0.585738\pi$
$884$	−0.880751	+	1.10443i	−0.0296229	+	0.0371459i
$885$	−6.47961	−	3.12041i	−0.217810	−	0.104892i
$886$	−4.99821	−	21.8986i	−0.167918	−	0.735698i
$887$	−27.1054	−	13.0533i	−0.910109	−	0.438285i	−0.0805795	−	0.996748i	$-0.525677\pi$
$887$	−27.1054	−	13.0533i	−0.910109	−	0.438285i	−0.829530	+	0.558463i	$0.811391\pi$
$888$	6.10408	−	2.93957i	0.204839	−	0.0986455i
$889$	−29.2581	+	0.900219i	−0.981285	+	0.0301924i
$890$	30.1244	+	14.5071i	1.00977	+	0.486280i
$891$	4.04577	+	5.07323i	0.135538	+	0.169960i
$892$	0.947103	−	0.456101i	0.0317113	−	0.0152714i
$893$	2.38760	−	2.99396i	0.0798981	−	0.100189i
$894$	0.357802	−	1.56763i	0.0119667	−	0.0524295i
$895$	−6.96142	+	8.72934i	−0.232695	+	0.291790i
$896$	−4.57527	−	17.5403i	−0.152849	−	0.585980i
$897$	−1.15567	−	1.44917i	−0.0385869	−	0.0483864i
$898$	3.26540	−	1.57253i	0.108968	−	0.0524762i
$899$	−4.42908	+	19.4051i	−0.147718	+	0.647195i
$900$	9.89774			0.329925
$901$	−7.22445			−0.240681
$902$	−1.38063	+	6.04891i	−0.0459698	+	0.201407i
$903$	0.972656	+	3.72889i	0.0323679	+	0.124090i
$904$	−10.9165	−	47.8283i	−0.363078	−	1.59075i
$905$	−3.28011	−	14.3711i	−0.109034	−	0.477711i
$906$	3.55578	+	4.45881i	0.118133	+	0.148134i
$907$	1.90846	+	2.39313i	0.0633693	+	0.0794626i	0.812506	−	0.582953i	$-0.198103\pi$
$907$	1.90846	+	2.39313i	0.0633693	+	0.0794626i	−0.749137	+	0.662415i	$0.769531\pi$
$908$	1.01130	+	4.43080i	0.0335612	+	0.147041i
$909$	3.74063	+	16.3888i	0.124069	+	0.543581i
$910$	12.2810	−	0.377863i	0.407110	−	0.0125260i
$911$	−0.686723	+	3.00873i	−0.0227521	+	0.0996837i	−0.985029	−	0.172388i	$-0.944852\pi$
$911$	−0.686723	+	3.00873i	−0.0227521	+	0.0996837i	0.962277	+	0.272072i	$0.0877088\pi$
$912$	−0.221427			−0.00733218
$913$	1.98301			0.0656282
$914$	4.99995	−	21.9062i	0.165384	−	0.724593i
$915$	0.874082	−	0.420936i	0.0288962	−	0.0139157i
$916$	−5.63802	−	7.06985i	−0.186285	−	0.233595i
$917$	10.3960	+	12.2439i	0.343306	+	0.404330i
$918$	−3.49842	+	4.38687i	−0.115465	+	0.144788i
$919$	9.47828	−	41.5271i	0.312660	−	1.36985i	−0.537472	−	0.843282i	$-0.680621\pi$
$919$	9.47828	−	41.5271i	0.312660	−	1.36985i	0.850132	−	0.526570i	$-0.176522\pi$
$920$	−61.6278	+	77.2788i	−2.03181	+	2.54781i
$921$	2.54355	−	1.22491i	0.0838128	−	0.0403621i
$922$	10.8615	+	13.6198i	0.357703	+	0.448546i
$923$	11.5664	+	5.57007i	0.380712	+	0.183341i
$924$	0.0988014	−	0.132027i	0.00325033	−	0.00434337i
$925$	81.4283	−	39.2138i	2.67735	−	1.28934i
$926$	42.0520	+	20.2512i	1.38191	+	0.665494i
$927$	3.83545	+	16.8042i	0.125973	+	0.551923i
$928$	−6.40797	−	3.08592i	−0.210352	−	0.101300i
$929$	−8.33698	+	10.4542i	−0.273527	+	0.342993i	−0.899554	−	0.436809i	$-0.856109\pi$
$929$	−8.33698	+	10.4542i	−0.273527	+	0.342993i	0.626027	+	0.779802i	$0.284680\pi$
$930$	5.98380			0.196216
$931$	2.12471	−	1.18936i	0.0696347	−	0.0389797i
$932$	9.90551			0.324466
$933$	2.43298	−	3.05087i	0.0796523	−	0.0998809i
$934$	29.1126	+	14.0199i	0.952594	+	0.458745i
$935$	−2.19216	−	9.60448i	−0.0716913	−	0.314100i
$936$	8.08320	+	3.89266i	0.264208	+	0.127236i
$937$	17.9740	−	8.65580i	0.587184	−	0.282773i	−0.116609	−	0.993178i	$-0.537203\pi$
$937$	17.9740	−	8.65580i	0.587184	−	0.282773i	0.703793	+	0.710405i	$0.251488\pi$
$938$	4.30248	+	1.91127i	0.140481	+	0.0624051i
$939$	4.38532	+	2.11186i	0.143109	+	0.0689179i
$940$	−9.97507	−	12.5083i	−0.325351	−	0.407977i
$941$	8.73460	−	4.20636i	0.284740	−	0.137123i	−0.286063	−	0.958211i	$-0.592347\pi$
$941$	8.73460	−	4.20636i	0.284740	−	0.137123i	0.570802	+	0.821087i	$0.306632\pi$
$942$	−2.79041	+	3.49907i	−0.0909166	+	0.114006i
$943$	12.8488	−	56.2941i	0.418413	−	1.83319i
$944$	−17.8733	+	22.4124i	−0.581727	+	0.729462i
$945$	−12.0544	+	0.370892i	−0.392129	+	0.0120651i
$946$	4.15335	+	5.20813i	0.135037	+	0.169331i
$947$	18.0540	−	8.69436i	0.586677	−	0.282529i	−0.116905	−	0.993143i	$-0.537297\pi$
$947$	18.0540	−	8.69436i	0.586677	−	0.282529i	0.703582	+	0.710614i	$0.251583\pi$
$948$	−0.0549510	+	0.240756i	−0.00178473	+	0.00781939i
$949$	15.8303			0.513875
$950$	−3.72135			−0.120736
$951$	0.140900	−	0.617324i	0.00456900	−	0.0200181i
$952$	−26.1546	−	11.6185i	−0.847676	−	0.376558i
$953$	−6.72885	−	29.4810i	−0.217969	−	0.954983i	−0.958976	−	0.283486i	$-0.908509\pi$
$953$	−6.72885	−	29.4810i	−0.217969	−	0.954983i	0.741008	−	0.671497i	$-0.234348\pi$
$954$	1.68851	+	7.39785i	0.0546676	+	0.239514i
$955$	56.0362	+	70.2672i	1.81329	+	2.27379i
$956$	1.80820	+	2.26741i	0.0584813	+	0.0733333i
$957$	0.112816	+	0.494280i	0.00364683	+	0.0159778i
$958$	−0.0890461	−	0.390136i	−0.00287695	−	0.0126047i
$959$	−21.5441	−	25.3736i	−0.695696	−	0.819358i
$960$	−1.51467	+	6.63621i	−0.0488858	+	0.214183i
$961$	7.12421			0.229813
$962$	13.5482			0.436812
$963$	11.7764	−	51.5956i	0.379488	−	1.66265i
$964$	−7.02530	+	3.38321i	−0.226270	+	0.108966i
$965$	15.9899	+	20.0507i	0.514734	+	0.645456i
$966$	3.72095	−	4.97225i	0.119720	−	0.159979i
$967$	6.77165	−	8.49138i	0.217761	−	0.273064i	−0.660937	−	0.750441i	$-0.729841\pi$
$967$	6.77165	−	8.49138i	0.217761	−	0.273064i	0.878699	+	0.477377i	$0.158412\pi$
$968$	−7.04436	+	30.8633i	−0.226414	+	0.991986i
$969$	−0.161329	+	0.202301i	−0.00518265	+	0.00649884i
$970$	2.71845	−	1.30914i	0.0872841	−	0.0420338i
$971$	16.2220	+	20.3418i	0.520590	+	0.652800i	0.970734	−	0.240156i	$-0.0771988\pi$
$971$	16.2220	+	20.3418i	0.520590	+	0.652800i	−0.450144	+	0.892956i	$0.648627\pi$
$972$	−1.97299	−	0.950140i	−0.0632835	−	0.0304757i
$973$	−9.37519	+	47.8086i	−0.300555	+	1.53267i
$974$	1.66422	−	0.801445i	0.0533250	−	0.0256800i
$975$	−1.58834	−	0.764904i	−0.0508676	−	0.0244965i
$976$	−0.860498	−	3.77009i	−0.0275439	−	0.120678i
$977$	29.9028	+	14.4004i	0.956674	+	0.460710i	0.846021	−	0.533149i	$-0.178992\pi$
$977$	29.9028	+	14.4004i	0.956674	+	0.460710i	0.110653	+	0.993859i	$0.464706\pi$
$978$	−1.44869	+	1.81660i	−0.0463239	+	0.0580883i
$979$	5.42613			0.173420
$980$	−2.86913	−	9.75990i	−0.0916509	−	0.311768i
$981$	−37.4415			−1.19541
$982$	−19.3137	+	24.2187i	−0.616326	+	0.772849i
$983$	−32.6139	−	15.7060i	−1.04022	−	0.500944i	−0.165825	−	0.986155i	$-0.553029\pi$
$983$	−32.6139	−	15.7060i	−1.04022	−	0.500944i	−0.874397	+	0.485211i	$0.838743\pi$
$984$	−0.916080	−	4.01361i	−0.0292036	−	0.127949i
$985$	−1.22118	−	0.588088i	−0.0389100	−	0.0187381i
$986$	13.1105	−	6.31367i	0.417523	−	0.201068i
$987$	3.93407	+	4.63336i	0.125223	+	0.147482i
$988$	0.124200	+	0.0598115i	0.00395133	+	0.00190286i
$989$	−38.6530	−	48.4694i	−1.22910	−	1.54124i
$990$	−9.32266	+	4.48955i	−0.296293	+	0.142687i
$991$	4.77757	−	5.99089i	0.151765	−	0.190307i	−0.700137	−	0.714008i	$-0.746878\pi$
$991$	4.77757	−	5.99089i	0.151765	−	0.190307i	0.851902	+	0.523701i	$0.175449\pi$
$992$	−3.03138	+	13.2813i	−0.0962463	+	0.421683i
$993$	−0.648617	+	0.813340i	−0.0205832	+	0.0258106i
$994$	−8.27711	+	42.2090i	−0.262534	+	1.33879i
$995$	10.9316	+	13.7077i	0.346553	+	0.434564i
$996$	−0.196052	+	0.0944139i	−0.00621216	+	0.00299162i
$997$	−4.04858	+	17.7380i	−0.128220	+	0.561767i	0.869479	+	0.493969i	$0.164454\pi$
$997$	−4.04858	+	17.7380i	−0.128220	+	0.561767i	−0.997699	+	0.0677979i	$0.978403\pi$
$998$	30.3422			0.960464
$999$	−13.2983			−0.420739

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	637.2.w.a.92.20	✓	162
49.8	even	7	inner	637.2.w.a.547.20	yes	162

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
637.2.w.a.92.20	✓	162	1.1	even	1	trivial
637.2.w.a.547.20	yes	162	49.8	even	7	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(0.789572 - 0.990091i) q^{2} +(0.188017 + 0.0905443i) q^{3} +(0.0881841 + 0.386360i) q^{4} +(3.30397 + 1.59111i) q^{5} +(0.238100 - 0.114663i) q^{6} +(-0.667783 - 2.56009i) q^{7} +(2.73409 + 1.31667i) q^{8} +(-1.84332 - 2.31145i) q^{9} +O(q^{10})\)	\(q+(0.789572 - 0.990091i) q^{2} +(0.188017 + 0.0905443i) q^{3} +(0.0881841 + 0.386360i) q^{4} +(3.30397 + 1.59111i) q^{5} +(0.238100 - 0.114663i) q^{6} +(-0.667783 - 2.56009i) q^{7} +(2.73409 + 1.31667i) q^{8} +(-1.84332 - 2.31145i) q^{9} +(4.18406 - 2.01494i) q^{10} +(0.469894 - 0.589229i) q^{11} +(-0.0184026 + 0.0806269i) q^{12} +(-0.623490 + 0.781831i) q^{13} +(-3.06199 - 1.36021i) q^{14} +(0.477137 + 0.598311i) q^{15} +(2.74828 - 1.32350i) q^{16} +(0.793186 - 3.47518i) q^{17} -3.74397 q^{18} -0.347850 q^{19} +(-0.323383 + 1.41683i) q^{20} +(0.106247 - 0.541805i) q^{21} +(-0.212375 - 0.930476i) q^{22} +(1.97647 + 8.65946i) q^{23} +(0.394839 + 0.495112i) q^{24} +(5.26714 + 6.60479i) q^{25} +(0.281795 + 1.23462i) q^{26} +(-0.276596 - 1.21185i) q^{27} +(0.930229 - 0.483764i) q^{28} +(-0.717320 + 3.14279i) q^{29} +0.969117 q^{30} +6.17448 q^{31} +(-0.490952 + 2.15100i) q^{32} +(0.141700 - 0.0682389i) q^{33} +(-2.81447 - 3.52923i) q^{34} +(1.86705 - 9.52098i) q^{35} +(0.730499 - 0.916017i) q^{36} +(2.38062 - 10.4302i) q^{37} +(-0.274653 + 0.344403i) q^{38} +(-0.188017 + 0.0905443i) q^{39} +(6.93838 + 8.70046i) q^{40} +(-5.85709 - 2.82063i) q^{41} +(-0.452547 - 0.532988i) q^{42} +(-6.28848 + 3.02837i) q^{43} +(0.269092 + 0.129588i) q^{44} +(-2.41250 - 10.5699i) q^{45} +(10.1342 + 4.88038i) q^{46} +(-6.86389 + 8.60704i) q^{47} +0.636559 q^{48} +(-6.10813 + 3.41917i) q^{49} +10.6981 q^{50} +(0.463790 - 0.581575i) q^{51} +(-0.357050 - 0.171946i) q^{52} +(-0.450994 - 1.97594i) q^{53} +(-1.41823 - 0.682985i) q^{54} +(2.49004 - 1.19914i) q^{55} +(1.54501 - 7.87876i) q^{56} +(-0.0654018 - 0.0314959i) q^{57} +(2.54527 + 3.19167i) q^{58} +(-8.46710 + 4.07754i) q^{59} +(-0.189088 + 0.237108i) q^{60} +(0.282097 - 1.23595i) q^{61} +(4.87519 - 6.11330i) q^{62} +(-4.68658 + 6.26260i) q^{63} +(5.54578 + 6.95419i) q^{64} +(-3.30397 + 1.59111i) q^{65} +(0.0443192 - 0.194175i) q^{66} -1.40513 q^{67} +1.41262 q^{68} +(-0.412456 + 1.80709i) q^{69} +(-7.95247 - 9.36604i) q^{70} +(-2.85666 - 12.5158i) q^{71} +(-1.99638 - 8.74673i) q^{72} +(-9.87006 - 12.3767i) q^{73} +(-8.44717 - 10.5924i) q^{74} +(0.392288 + 1.71872i) q^{75} +(-0.0306749 - 0.134395i) q^{76} +(-1.82227 - 0.809495i) q^{77} +(-0.0588059 + 0.257645i) q^{78} +2.98605 q^{79} +11.1861 q^{80} +(-1.91590 + 8.39409i) q^{81} +(-7.41727 + 3.57197i) q^{82} +(1.64053 + 2.05716i) q^{83} +(0.218701 - 0.00672904i) q^{84} +(8.15005 - 10.2198i) q^{85} +(-1.96684 + 8.61728i) q^{86} +(-0.419430 + 0.525948i) q^{87} +(2.06055 - 0.992308i) q^{88} +(4.48899 + 5.62902i) q^{89} +(-12.3700 - 5.95707i) q^{90} +(2.41792 + 1.07410i) q^{91} +(-3.17138 + 1.52725i) q^{92} +(1.16091 + 0.559064i) q^{93} +(3.10223 + 13.5918i) q^{94} +(-1.14929 - 0.553467i) q^{95} +(-0.287069 + 0.359973i) q^{96} +0.649715 q^{97} +(-1.43752 + 8.74729i) q^{98} -2.22813 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9}+O(q^{10}) \) 162 * q + 3 * q^2 - 25 * q^4 - 4 * q^5 + 18 * q^6 - 15 * q^7 + 3 * q^8 - 5 * q^9	\( 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9} - 10 q^{10} + 15 q^{11} + 25 q^{12} + 27 q^{13} + 33 q^{14} + 18 q^{15} - 5 q^{16} + 3 q^{17} - 64 q^{18} + 24 q^{19} - 47 q^{20} + 24 q^{22} + 27 q^{23} - 8 q^{24} - 35 q^{25} - 3 q^{26} + 15 q^{27} + 2 q^{28} + 46 q^{29} - 30 q^{30} + 46 q^{31} + 16 q^{32} - 18 q^{33} - 62 q^{34} - 51 q^{35} + 39 q^{36} + 16 q^{37} - 54 q^{38} + 74 q^{40} - 2 q^{41} + 88 q^{42} + 14 q^{43} - 95 q^{44} + 83 q^{45} + 56 q^{46} - 4 q^{47} - 20 q^{48} - 3 q^{49} - 216 q^{50} - 56 q^{51} + 25 q^{52} + 38 q^{53} - 6 q^{54} + 73 q^{55} - 35 q^{56} + 41 q^{57} + 72 q^{58} - 44 q^{59} + 24 q^{60} - 6 q^{61} - 36 q^{62} - q^{63} - 11 q^{64} + 4 q^{65} + 95 q^{66} - 126 q^{67} - 382 q^{68} - 108 q^{69} - 47 q^{70} + 51 q^{71} + 130 q^{72} + 14 q^{73} - 26 q^{74} + 3 q^{75} + 75 q^{76} - 6 q^{77} + 31 q^{78} - 58 q^{79} + 110 q^{80} - 5 q^{81} - 90 q^{82} - 35 q^{83} + 21 q^{84} + 18 q^{85} + 76 q^{86} - 100 q^{87} + 6 q^{88} + 32 q^{89} + 13 q^{90} + q^{91} + 46 q^{92} + 19 q^{93} + 72 q^{94} + 38 q^{95} + 95 q^{96} + 6 q^{97} - 299 q^{98} - 334 q^{99}+O(q^{100}) \) 162 * q + 3 * q^2 - 25 * q^4 - 4 * q^5 + 18 * q^6 - 15 * q^7 + 3 * q^8 - 5 * q^9 - 10 * q^10 + 15 * q^11 + 25 * q^12 + 27 * q^13 + 33 * q^14 + 18 * q^15 - 5 * q^16 + 3 * q^17 - 64 * q^18 + 24 * q^19 - 47 * q^20 + 24 * q^22 + 27 * q^23 - 8 * q^24 - 35 * q^25 - 3 * q^26 + 15 * q^27 + 2 * q^28 + 46 * q^29 - 30 * q^30 + 46 * q^31 + 16 * q^32 - 18 * q^33 - 62 * q^34 - 51 * q^35 + 39 * q^36 + 16 * q^37 - 54 * q^38 + 74 * q^40 - 2 * q^41 + 88 * q^42 + 14 * q^43 - 95 * q^44 + 83 * q^45 + 56 * q^46 - 4 * q^47 - 20 * q^48 - 3 * q^49 - 216 * q^50 - 56 * q^51 + 25 * q^52 + 38 * q^53 - 6 * q^54 + 73 * q^55 - 35 * q^56 + 41 * q^57 + 72 * q^58 - 44 * q^59 + 24 * q^60 - 6 * q^61 - 36 * q^62 - q^63 - 11 * q^64 + 4 * q^65 + 95 * q^66 - 126 * q^67 - 382 * q^68 - 108 * q^69 - 47 * q^70 + 51 * q^71 + 130 * q^72 + 14 * q^73 - 26 * q^74 + 3 * q^75 + 75 * q^76 - 6 * q^77 + 31 * q^78 - 58 * q^79 + 110 * q^80 - 5 * q^81 - 90 * q^82 - 35 * q^83 + 21 * q^84 + 18 * q^85 + 76 * q^86 - 100 * q^87 + 6 * q^88 + 32 * q^89 + 13 * q^90 + q^91 + 46 * q^92 + 19 * q^93 + 72 * q^94 + 38 * q^95 + 95 * q^96 + 6 * q^97 - 299 * q^98 - 334 * q^99

Introduction

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