LMFDB - Embedded newform 637.2.w.a.92.14

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			92.14
Character	$\chi$	$=$	637.92
Dual form			637.2.w.a.547.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0552404 - 0.0692692i) q^{2} +(-2.67810 - 1.28970i) q^{3} +(0.443295 + 1.94220i) q^{4} +(-3.26519 - 1.57243i) q^{5} +(-0.237276 + 0.114266i) q^{6} +(-0.177815 + 2.63977i) q^{7} +(0.318672 + 0.153464i) q^{8} +(3.63840 + 4.56241i) q^{9} +O(q^{10})$	\(q+(0.0552404 - 0.0692692i) q^{2} +(-2.67810 - 1.28970i) q^{3} +(0.443295 + 1.94220i) q^{4} +(-3.26519 - 1.57243i) q^{5} +(-0.237276 + 0.114266i) q^{6} +(-0.177815 + 2.63977i) q^{7} +(0.318672 + 0.153464i) q^{8} +(3.63840 + 4.56241i) q^{9} +(-0.289292 + 0.139316i) q^{10} +(-0.728305 + 0.913266i) q^{11} +(1.31768 - 5.77313i) q^{12} +(-0.623490 + 0.781831i) q^{13} +(0.173032 + 0.158139i) q^{14} +(6.71653 + 8.42226i) q^{15} +(-3.56150 + 1.71513i) q^{16} +(0.969643 - 4.24828i) q^{17} +0.517021 q^{18} +2.50716 q^{19} +(1.60654 - 7.03872i) q^{20} +(3.88073 - 6.84023i) q^{21} +(0.0230294 + 0.100898i) q^{22} +(-1.08231 - 4.74190i) q^{23} +(-0.655511 - 0.821985i) q^{24} +(5.07148 + 6.35944i) q^{25} +(0.0197151 + 0.0863773i) q^{26} +(-1.87553 - 8.21722i) q^{27} +(-5.20579 + 0.824844i) q^{28} +(1.04528 - 4.57968i) q^{29} +0.954427 q^{30} -9.19794 q^{31} +(-0.235344 + 1.03111i) q^{32} +(3.12831 - 1.50652i) q^{33} +(-0.240712 - 0.301843i) q^{34} +(4.73146 - 8.33975i) q^{35} +(-7.24824 + 9.08900i) q^{36} +(1.67708 - 7.34775i) q^{37} +(0.138497 - 0.173669i) q^{38} +(2.67810 - 1.28970i) q^{39} +(-0.799213 - 1.00218i) q^{40} +(9.89081 + 4.76316i) q^{41} +(-0.259445 - 0.646672i) q^{42} +(11.0293 - 5.31141i) q^{43} +(-2.09660 - 1.00967i) q^{44} +(-4.70599 - 20.6183i) q^{45} +(-0.388255 - 0.186974i) q^{46} +(-2.59801 + 3.25780i) q^{47} +11.7500 q^{48} +(-6.93676 - 0.938780i) q^{49} +0.720664 q^{50} +(-8.07582 + 10.1268i) q^{51} +(-1.79487 - 0.864362i) q^{52} +(-0.885539 - 3.87980i) q^{53} +(-0.672805 - 0.324006i) q^{54} +(3.81411 - 1.83678i) q^{55} +(-0.461775 + 0.813932i) q^{56} +(-6.71442 - 3.23350i) q^{57} +(-0.259489 - 0.325389i) q^{58} +(12.4928 - 6.01621i) q^{59} +(-13.3803 + 16.7784i) q^{60} +(-0.364960 + 1.59899i) q^{61} +(-0.508097 + 0.637134i) q^{62} +(-12.6907 + 8.79327i) q^{63} +(-4.87084 - 6.10784i) q^{64} +(3.26519 - 1.57243i) q^{65} +(0.0684539 - 0.299916i) q^{66} +3.69846 q^{67} +8.68086 q^{68} +(-3.21712 + 14.0951i) q^{69} +(-0.316320 - 0.788435i) q^{70} +(2.56641 + 11.2442i) q^{71} +(0.459289 + 2.01228i) q^{72} +(-0.550652 - 0.690496i) q^{73} +(-0.416331 - 0.522062i) q^{74} +(-5.38013 - 23.5719i) q^{75} +(1.11141 + 4.86942i) q^{76} +(-2.28131 - 2.08495i) q^{77} +(0.0586023 - 0.256753i) q^{78} -3.10981 q^{79} +14.3259 q^{80} +(-1.67934 + 7.35768i) q^{81} +(0.876312 - 0.422010i) q^{82} +(3.92109 + 4.91689i) q^{83} +(15.0054 + 4.50491i) q^{84} +(-9.84621 + 12.3468i) q^{85} +(0.241343 - 1.05739i) q^{86} +(-8.70580 + 10.9167i) q^{87} +(-0.372244 + 0.179263i) q^{88} +(-4.84638 - 6.07717i) q^{89} +(-1.68817 - 0.812981i) q^{90} +(-1.95299 - 1.78489i) q^{91} +(8.72996 - 4.20413i) q^{92} +(24.6330 + 11.8626i) q^{93} +(0.0821504 + 0.359924i) q^{94} +(-8.18637 - 3.94235i) q^{95} +(1.96010 - 2.45789i) q^{96} +14.8859 q^{97} +(-0.448218 + 0.428646i) q^{98} -6.81656 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 $

$2$	0.0552404	−	0.0692692i	0.0390608	−	0.0489807i	−0.761917	−	0.647674i	$-0.775742\pi$
$2$	0.0552404	−	0.0692692i	0.0390608	−	0.0489807i	0.800978	+	0.598693i	$0.204313\pi$
$3$	−2.67810	−	1.28970i	−1.54620	−	0.744611i	−0.550291	−	0.834973i	$-0.685483\pi$
$3$	−2.67810	−	1.28970i	−1.54620	−	0.744611i	−0.995909	+	0.0903622i	$0.971198\pi$
$4$	0.443295	+	1.94220i	0.221648	+	0.971101i
$5$	−3.26519	−	1.57243i	−1.46024	−	0.703214i	−0.475899	−	0.879500i	$-0.657877\pi$
$5$	−3.26519	−	1.57243i	−1.46024	−	0.703214i	−0.984339	+	0.176286i	$0.943592\pi$
$6$	−0.237276	+	0.114266i	−0.0968674	+	0.0466489i
$7$	−0.177815	+	2.63977i	−0.0672077	+	0.997739i
$7$	−0.177815	+	2.63977i	−0.0672077	+	0.997739i
$8$	0.318672	+	0.153464i	0.112668	+	0.0542578i
$9$	3.63840	+	4.56241i	1.21280	+	1.52080i
$10$	−0.289292	+	0.139316i	−0.0914820	+	0.0440554i
$11$	−0.728305	+	0.913266i	−0.219592	+	0.275360i	−0.879409	−	0.476066i	$-0.842062\pi$
$11$	−0.728305	+	0.913266i	−0.219592	+	0.275360i	0.659817	+	0.751426i	$0.270634\pi$
$12$	1.31768	−	5.77313i	0.380381	−	1.66656i
$13$	−0.623490	+	0.781831i	−0.172925	+	0.216841i
$13$	−0.623490	+	0.781831i	−0.172925	+	0.216841i
$14$	0.173032	+	0.158139i	0.0462448	+	0.0422644i
$15$	6.71653	+	8.42226i	1.73420	+	2.17462i
$16$	−3.56150	+	1.71513i	−0.890374	+	0.428782i
$17$	0.969643	−	4.24828i	0.235173	−	1.03036i	−0.710106	−	0.704095i	$-0.751353\pi$
$17$	0.969643	−	4.24828i	0.235173	−	1.03036i	0.945278	−	0.326265i	$-0.105790\pi$
$18$	0.517021			0.121863
$19$	2.50716			0.575182			0.287591	−	0.957753i	$-0.407146\pi$
$19$	2.50716			0.575182			0.287591	+	0.957753i	$0.407146\pi$
$20$	1.60654	−	7.03872i	0.359234	−	1.57391i
$21$	3.88073	−	6.84023i	0.846844	−	1.49266i
$22$	0.0230294	+	0.100898i	0.00490988	+	0.0215116i
$23$	−1.08231	−	4.74190i	−0.225677	−	0.988755i	−0.953121	−	0.302589i	$-0.902149\pi$
$23$	−1.08231	−	4.74190i	−0.225677	−	0.988755i	0.727444	−	0.686167i	$-0.240708\pi$
$24$	−0.655511	−	0.821985i	−0.133806	−	0.167787i
$25$	5.07148	+	6.35944i	1.01430	+	1.27189i
$26$	0.0197151	+	0.0863773i	0.00386644	+	0.0169400i
$27$	−1.87553	−	8.21722i	−0.360945	−	1.58140i
$28$	−5.20579	+	0.824844i	−0.983802	+	0.155881i
$29$	1.04528	−	4.57968i	0.194104	−	0.850426i	−0.780261	−	0.625454i	$-0.784914\pi$
$29$	1.04528	−	4.57968i	0.194104	−	0.850426i	0.974365	−	0.224972i	$-0.0722290\pi$
$30$	0.954427			0.174254
$31$	−9.19794			−1.65200			−0.825999	−	0.563671i	$-0.809388\pi$
$31$	−9.19794			−1.65200			−0.825999	+	0.563671i	$0.809388\pi$
$32$	−0.235344	+	1.03111i	−0.0416033	+	0.182276i
$33$	3.12831	−	1.50652i	0.544569	−	0.262251i
$34$	−0.240712	−	0.301843i	−0.0412817	−	0.0517656i
$35$	4.73146	−	8.33975i	0.799763	−	1.40968i
$36$	−7.24824	+	9.08900i	−1.20804	+	1.51483i
$37$	1.67708	−	7.34775i	0.275710	−	1.20796i	−0.627449	−	0.778657i	$-0.715901\pi$
$37$	1.67708	−	7.34775i	0.275710	−	1.20796i	0.903159	−	0.429306i	$-0.141242\pi$
$38$	0.138497	−	0.173669i	0.0224671	−	0.0281729i
$39$	2.67810	−	1.28970i	0.428839	−	0.206518i
$40$	−0.799213	−	1.00218i	−0.126367	−	0.158459i
$41$	9.89081	+	4.76316i	1.54468	+	0.743881i	0.995760	−	0.0919907i	$-0.0293230\pi$
$41$	9.89081	+	4.76316i	1.54468	+	0.743881i	0.548925	+	0.835872i	$0.315037\pi$
$42$	−0.259445	−	0.646672i	−0.0400332	−	0.0997836i
$43$	11.0293	−	5.31141i	1.68195	−	0.809983i	0.685291	−	0.728270i	$-0.259675\pi$
$43$	11.0293	−	5.31141i	1.68195	−	0.809983i	0.996656	−	0.0817133i	$-0.0260392\pi$
$44$	−2.09660	−	1.00967i	−0.316075	−	0.152213i
$45$	−4.70599	−	20.6183i	−0.701527	−	3.07359i
$46$	−0.388255	−	0.186974i	−0.0572451	−	0.0275678i
$47$	−2.59801	+	3.25780i	−0.378959	+	0.475199i	−0.934333	−	0.356401i	$-0.884004\pi$
$47$	−2.59801	+	3.25780i	−0.378959	+	0.475199i	0.555374	+	0.831601i	$0.312575\pi$
$48$	11.7500			1.69597
$49$	−6.93676	−	0.938780i	−0.990966	−	0.134111i
$50$	0.720664			0.101917
$51$	−8.07582	+	10.1268i	−1.13084	+	1.41803i
$52$	−1.79487	−	0.864362i	−0.248903	−	0.119865i
$53$	−0.885539	−	3.87980i	−0.121638	−	0.532932i	−0.998625	−	0.0524177i	$-0.983307\pi$
$53$	−0.885539	−	3.87980i	−0.121638	−	0.532932i	0.876987	−	0.480514i	$-0.159550\pi$
$54$	−0.672805	−	0.324006i	−0.0915571	−	0.0440916i
$55$	3.81411	−	1.83678i	0.514294	−	0.247671i
$56$	−0.461775	+	0.813932i	−0.0617073	+	0.108766i
$57$	−6.71442	−	3.23350i	−0.889347	−	0.428287i
$58$	−0.259489	−	0.325389i	−0.0340726	−	0.0427257i
$59$	12.4928	−	6.01621i	1.62642	−	0.783244i	0.626430	−	0.779478i	$-0.284515\pi$
$59$	12.4928	−	6.01621i	1.62642	−	0.783244i	0.999993	−	0.00376610i	$-0.00119879\pi$
$60$	−13.3803	+	16.7784i	−1.72739	+	2.16608i
$61$	−0.364960	+	1.59899i	−0.0467283	+	0.204730i	−0.992903	−	0.118926i	$-0.962055\pi$
$61$	−0.364960	+	1.59899i	−0.0467283	+	0.204730i	0.946175	+	0.323656i	$0.104912\pi$
$62$	−0.508097	+	0.637134i	−0.0645284	+	0.0809161i
$63$	−12.6907	+	8.79327i	−1.59887	+	1.10785i
$64$	−4.87084	−	6.10784i	−0.608855	−	0.763480i
$65$	3.26519	−	1.57243i	0.404997	−	0.195036i
$66$	0.0684539	−	0.299916i	0.00842610	−	0.0369171i
$67$	3.69846			0.451839			0.225919	−	0.974146i	$-0.427461\pi$
$67$	3.69846			0.451839			0.225919	+	0.974146i	$0.427461\pi$
$68$	8.68086			1.05271
$69$	−3.21712	+	14.0951i	−0.387296	+	1.69686i
$70$	−0.316320	−	0.788435i	−0.0378075	−	0.0942361i
$71$	2.56641	+	11.2442i	0.304577	+	1.33444i	0.863135	+	0.504973i	$0.168498\pi$
$71$	2.56641	+	11.2442i	0.304577	+	1.33444i	−0.558558	+	0.829465i	$0.688645\pi$
$72$	0.459289	+	2.01228i	0.0541277	+	0.237149i
$73$	−0.550652	−	0.690496i	−0.0644489	−	0.0808164i	0.748562	−	0.663065i	$-0.230745\pi$
$73$	−0.550652	−	0.690496i	−0.0644489	−	0.0808164i	−0.813011	+	0.582248i	$0.802173\pi$
$74$	−0.416331	−	0.522062i	−0.0483975	−	0.0606885i
$75$	−5.38013	−	23.5719i	−0.621244	−	2.72185i
$76$	1.11141	+	4.86942i	0.127488	+	0.558560i
$77$	−2.28131	−	2.08495i	−0.259979	−	0.237602i
$78$	0.0586023	−	0.256753i	0.00663540	−	0.0290716i
$79$	−3.10981			−0.349881			−0.174941	−	0.984579i	$-0.555973\pi$
$79$	−3.10981			−0.349881			−0.174941	+	0.984579i	$0.555973\pi$
$80$	14.3259			1.60168
$81$	−1.67934	+	7.35768i	−0.186594	+	0.817520i
$82$	0.876312	−	0.422010i	0.0967725	−	0.0466032i
$83$	3.92109	+	4.91689i	0.430395	+	0.539698i	0.948984	−	0.315326i	$-0.102114\pi$
$83$	3.92109	+	4.91689i	0.430395	+	0.539698i	−0.518588	+	0.855024i	$0.673542\pi$
$84$	15.0054	+	4.50491i	1.63723	+	0.491527i
$85$	−9.84621	+	12.3468i	−1.06797	+	1.33919i
$86$	0.241343	−	1.05739i	0.0260247	−	0.114022i
$87$	−8.70580	+	10.9167i	−0.933360	+	1.17040i
$88$	−0.372244	+	0.179263i	−0.0396813	+	0.0191095i
$89$	−4.84638	−	6.07717i	−0.513716	−	0.644179i	0.455546	−	0.890212i	$-0.349444\pi$
$89$	−4.84638	−	6.07717i	−0.513716	−	0.644179i	−0.969261	+	0.246033i	$0.920873\pi$
$90$	−1.68817	−	0.812981i	−0.177949	−	0.0856957i
$91$	−1.95299	−	1.78489i	−0.204729	−	0.187107i
$92$	8.72996	−	4.20413i	0.910161	−	0.438310i
$93$	24.6330	+	11.8626i	2.55432	+	1.23010i
$94$	0.0821504	+	0.359924i	0.00847317	+	0.0371234i
$95$	−8.18637	−	3.94235i	−0.839903	−	0.404476i
$96$	1.96010	−	2.45789i	0.200052	−	0.250857i
$97$	14.8859			1.51144			0.755719	−	0.654896i	$-0.227288\pi$
$97$	14.8859			1.51144			0.755719	+	0.654896i	$0.227288\pi$
$98$	−0.448218	+	0.428646i	−0.0452768	+	0.0432997i
$99$	−6.81656			−0.685090
$100$	−10.1032	+	12.6690i	−1.01032	+	1.26690i
$101$	−10.6202	−	5.11444i	−1.05675	−	0.508906i	−0.176938	−	0.984222i	$-0.556619\pi$
$101$	−10.6202	−	5.11444i	−1.05675	−	0.508906i	−0.879815	+	0.475316i	$0.842334\pi$
$102$	0.255361	+	1.11881i	0.0252846	+	0.110779i
$103$	4.74789	+	2.28646i	0.467823	+	0.225292i	0.652918	−	0.757429i	$-0.273545\pi$
$103$	4.74789	+	2.28646i	0.467823	+	0.225292i	−0.185094	+	0.982721i	$0.559259\pi$
$104$	−0.318672	+	0.153464i	−0.0312484	+	0.0150484i
$105$	−23.4271	+	16.2325i	−2.28625	+	1.58413i
$106$	−0.317668	−	0.152981i	−0.0308547	−	0.0148588i
$107$	−5.07752	−	6.36700i	−0.490862	−	0.615521i	0.473279	−	0.880913i	$-0.343070\pi$
$107$	−5.07752	−	6.36700i	−0.490862	−	0.615521i	−0.964141	+	0.265391i	$0.914499\pi$
$108$	15.1281	−	7.28530i	1.45570	−	0.701029i
$109$	9.32345	−	11.6912i	0.893025	−	1.11982i	−0.0991640	−	0.995071i	$-0.531617\pi$
$109$	9.32345	−	11.6912i	0.893025	−	1.11982i	0.992189	−	0.124746i	$-0.0398117\pi$
$110$	0.0834605	−	0.365664i	0.00795764	−	0.0348647i
$111$	−13.9678	+	17.5151i	−1.32576	+	1.66246i
$112$	−3.89425	−	9.70650i	−0.367972	−	0.917179i
$113$	−6.62825	−	8.31156i	−0.623533	−	0.781886i	0.365303	−	0.930889i	$-0.380965\pi$
$113$	−6.62825	−	8.31156i	−0.623533	−	0.781886i	−0.988837	+	0.149002i	$0.952394\pi$
$114$	−0.594889	+	0.286483i	−0.0557164	+	0.0268316i
$115$	−3.92238	+	17.1851i	−0.365764	+	1.60252i
$116$	9.35804			0.868872
$117$	−5.83554			−0.539496
$118$	0.273368	−	1.19770i	0.0251656	−	0.110258i
$119$	11.0421	+	3.31504i	1.01222	+	0.303889i
$120$	0.847853	+	3.71468i	0.0773980	+	0.339103i
$121$	2.14410	+	9.39394i	0.194919	+	0.853994i
$122$	0.0906004	+	0.113609i	0.00820258	+	0.0102857i
$123$	−20.3455	−	25.5124i	−1.83449	−	2.30038i
$124$	−4.07740	−	17.8643i	−0.366161	−	1.60426i
$125$	−2.52739	−	11.0732i	−0.226057	−	0.990420i
$126$	−0.0919340	+	1.36482i	−0.00819013	+	0.121587i
$127$	0.982989	−	4.30676i	0.0872262	−	0.382163i	−0.912406	−	0.409286i	$-0.865778\pi$
$127$	0.982989	−	4.30676i	0.0872262	−	0.382163i	0.999632	+	0.0271237i	$0.00863481\pi$
$128$	−2.80740			−0.248142
$129$	−36.3876			−3.20375
$130$	0.0714491	−	0.313039i	0.00626650	−	0.0274553i
$131$	−8.26426	+	3.97986i	−0.722051	+	0.347722i	−0.758552	−	0.651612i	$-0.774093\pi$
$131$	−8.26426	+	3.97986i	−0.722051	+	0.347722i	0.0365010	+	0.999334i	$0.488379\pi$
$132$	4.31273	+	5.40799i	0.375375	+	0.470705i
$133$	−0.445810	+	6.61833i	−0.0386567	+	0.573882i
$134$	0.204304	−	0.256189i	0.0176492	−	0.0221314i
$135$	−6.79707	+	29.7799i	−0.584999	+	2.56305i
$136$	0.960957	−	1.20500i	0.0824014	−	0.103328i
$137$	4.29768	−	2.06966i	0.367176	−	0.176823i	−0.241193	−	0.970477i	$-0.577539\pi$
$137$	4.29768	−	2.06966i	0.367176	−	0.176823i	0.608369	+	0.793655i	$0.291824\pi$
$138$	0.798644	+	1.00147i	0.0679851	+	0.0852506i
$139$	14.6062	+	7.03399i	1.23888	+	0.596615i	0.934510	−	0.355937i	$-0.115838\pi$
$139$	14.6062	+	7.03399i	1.23888	+	0.596615i	0.304375	+	0.952552i	$0.401553\pi$
$140$	18.2949	+	5.49249i	1.54620	+	0.464200i
$141$	11.1593	−	5.37405i	0.939785	−	0.452576i
$142$	0.920645	+	0.443359i	0.0772588	+	0.0372059i
$143$	−0.259929	−	1.13882i	−0.0217364	−	0.0952332i
$144$	−20.7833	−	10.0087i	−1.73194	−	0.834057i
$145$	−10.6143	+	13.3099i	−0.881469	+	1.10533i
$146$	−0.0782483			−0.00647588
$147$	17.3666	+	11.4605i	1.43237	+	0.945247i
$148$	15.0143			1.23417
$149$	1.00889	−	1.26511i	0.0826517	−	0.103642i	−0.738786	−	0.673940i	$-0.764601\pi$
$149$	1.00889	−	1.26511i	0.0826517	−	0.103642i	0.821438	+	0.570298i	$0.193172\pi$
$150$	−1.93001	−	0.929443i	−0.157584	−	0.0758887i
$151$	2.57766	+	11.2935i	0.209767	+	0.919050i	0.964721	+	0.263273i	$0.0848019\pi$
$151$	2.57766	+	11.2935i	0.209767	+	0.919050i	−0.754954	+	0.655777i	$0.772341\pi$
$152$	0.798962	+	0.384760i	0.0648044	+	0.0312081i
$153$	22.9103	−	11.0330i	1.85219	−	0.891968i
$154$	−0.270443	+	0.0428510i	−0.0217929	+	0.00345303i
$155$	30.0330	+	14.4631i	2.41231	+	1.16171i
$156$	3.69205	+	4.62969i	0.295601	+	0.370672i
$157$	−6.21790	+	2.99438i	−0.496243	+	0.238978i	−0.665227	−	0.746641i	$-0.731665\pi$
$157$	−6.21790	+	2.99438i	−0.496243	+	0.238978i	0.168985	+	0.985619i	$0.445951\pi$
$158$	−0.171787	+	0.215414i	−0.0136666	+	0.0171374i
$159$	−2.63223	+	11.5326i	−0.208750	+	0.914592i
$160$	2.38979	−	2.99671i	0.188930	−	0.236910i
$161$	12.7100	−	2.01386i	1.00169	−	0.158715i
$162$	0.416893	+	0.522768i	0.0327542	+	0.0410725i
$163$	−3.27437	+	1.57685i	−0.256468	+	0.123509i	−0.557701	−	0.830042i	$-0.688316\pi$
$163$	−3.27437	+	1.57685i	−0.256468	+	0.123509i	0.301232	+	0.953551i	$0.402602\pi$
$164$	−4.86648	+	21.3214i	−0.380008	+	1.66493i
$165$	−12.5834			−0.979620
$166$	0.557191			0.0432464
$167$	1.69956	−	7.44627i	0.131516	−	0.576209i	−0.865628	−	0.500687i	$-0.833081\pi$
$167$	1.69956	−	7.44627i	0.131516	−	0.576209i	0.997144	−	0.0755219i	$-0.0240623\pi$
$168$	2.28641	−	1.58424i	0.176400	−	0.122226i
$169$	−0.222521	−	0.974928i	−0.0171170	−	0.0749945i
$170$	0.311342	+	1.36408i	0.0238788	+	0.104620i
$171$	9.12206	+	11.4387i	0.697581	+	0.874739i
$172$	15.2051	+	19.0665i	1.15937	+	1.45381i
$173$	−3.24491	−	14.2169i	−0.246706	−	1.08089i	−0.934774	−	0.355244i	$-0.884398\pi$
$173$	−3.24491	−	14.2169i	−0.246706	−	1.08089i	0.688067	−	0.725647i	$-0.258459\pi$
$174$	0.275282	+	1.20609i	0.0208691	+	0.0914333i
$175$	−17.6892	+	12.2567i	−1.33718	+	0.926523i
$176$	1.02749	−	4.50173i	0.0774500	−	0.339331i
$177$	−41.2160			−3.09799
$178$	−0.688677			−0.0516185
$179$	−0.280187	+	1.22758i	−0.0209422	+	0.0917537i	−0.984319	−	0.176398i	$-0.943556\pi$
$179$	−0.280187	+	1.22758i	−0.0209422	+	0.0917537i	0.963377	+	0.268151i	$0.0864127\pi$
$180$	37.9587	−	18.2800i	2.82928	−	1.36251i
$181$	−14.7928	−	18.5496i	−1.09954	−	1.37878i	−0.918554	−	0.395294i	$-0.870643\pi$
$181$	−14.7928	−	18.5496i	−1.09954	−	1.37878i	−0.180986	−	0.983486i	$-0.557929\pi$
$182$	−0.231522	+	0.0366840i	−0.0171615	+	0.00271920i
$183$	3.03962	−	3.81157i	0.224695	−	0.281759i
$184$	0.382812	−	1.67721i	0.0282212	−	0.123645i
$185$	−17.0298	+	21.3547i	−1.25206	+	1.57003i
$186$	2.18245	−	1.05101i	0.160025	−	0.0770639i
$187$	3.17361	+	3.97959i	0.232078	+	0.291016i
$188$	−7.47900	−	3.60170i	−0.545462	−	0.262681i
$189$	22.0250	−	3.48981i	1.60209	−	0.253847i
$190$	−0.725301	+	0.349287i	−0.0526189	+	0.0253399i
$191$	2.59004	+	1.24730i	0.187409	+	0.0902514i	0.525235	−	0.850957i	$-0.323977\pi$
$191$	2.59004	+	1.24730i	0.187409	+	0.0902514i	−0.337826	+	0.941208i	$0.609692\pi$
$192$	5.16728	+	22.6393i	0.372916	+	1.63385i
$193$	−14.6503	−	7.05520i	−1.05455	−	0.507845i	−0.175453	−	0.984488i	$-0.556139\pi$
$193$	−14.6503	−	7.05520i	−1.05455	−	0.507845i	−0.879097	+	0.476643i	$0.841853\pi$
$194$	0.822304	−	1.03114i	0.0590380	−	0.0740313i
$195$	−10.7725			−0.771433
$196$	−1.25173	−	13.8888i	−0.0894094	−	0.992054i
$197$	−6.02790			−0.429470			−0.214735	−	0.976672i	$-0.568889\pi$
$197$	−6.02790			−0.429470			−0.214735	+	0.976672i	$0.568889\pi$
$198$	−0.376549	+	0.472177i	−0.0267602	+	0.0335562i
$199$	5.13368	+	2.47225i	0.363917	+	0.175253i	0.606902	−	0.794777i	$-0.292412\pi$
$199$	5.13368	+	2.47225i	0.363917	+	0.175253i	−0.242985	+	0.970030i	$0.578127\pi$
$200$	0.640192	+	2.80487i	0.0452684	+	0.198334i
$201$	−9.90483	−	4.76991i	−0.698633	−	0.336444i
$202$	−0.940939	+	0.453132i	−0.0662042	+	0.0318823i
$203$	11.9034	+	3.57364i	0.835458	+	0.250820i
$204$	−23.2482	−	11.1957i	−1.62770	−	0.783859i
$205$	−24.8056	−	31.1053i	−1.73250	−	2.17249i
$206$	0.420656	−	0.202577i	0.0293085	−	0.0141142i
$207$	17.6966	−	22.1909i	1.23000	−	1.54237i
$208$	0.879617	−	3.85385i	0.0609905	−	0.267217i
$209$	−1.82598	+	2.28970i	−0.126306	+	0.158382i
$210$	−0.169711	+	2.51947i	−0.0117112	+	0.173860i
$211$	−0.992430	−	1.24447i	−0.0683217	−	0.0856727i	0.746496	−	0.665390i	$-0.231735\pi$
$211$	−0.992430	−	1.24447i	−0.0683217	−	0.0856727i	−0.814818	+	0.579717i	$0.803163\pi$
$212$	7.14281	−	3.43979i	0.490570	−	0.236246i
$213$	7.62856	−	33.4229i	0.522700	−	2.29010i
$214$	−0.721521			−0.0493222
$215$	−44.3645			−3.02563
$216$	0.663372	−	2.90642i	0.0451367	−	0.197757i
$217$	1.63553	−	24.2804i	0.111027	−	1.64826i
$218$	−0.294812	−	1.29166i	−0.0199672	−	0.0874820i
$219$	0.584165	+	2.55939i	0.0394742	+	0.172948i
$220$	5.25817	+	6.59353i	0.354506	+	0.444536i
$221$	2.71688	+	3.40686i	0.182757	+	0.229170i
$222$	0.441669	+	1.93508i	0.0296429	+	0.129874i
$223$	−3.65988	−	16.0350i	−0.245084	−	1.07378i	−0.936318	−	0.351152i	$-0.885790\pi$
$223$	−3.65988	−	16.0350i	−0.245084	−	1.07378i	0.691234	−	0.722631i	$-0.257067\pi$
$224$	−2.68004	−	0.804600i	−0.179068	−	0.0537596i
$225$	−10.5623	+	46.2764i	−0.704152	+	3.08509i
$226$	−0.941882			−0.0626531
$227$	3.44471			0.228633			0.114317	−	0.993444i	$-0.463532\pi$
$227$	3.44471			0.228633			0.114317	+	0.993444i	$0.463532\pi$
$228$	3.30363	−	14.4742i	0.218788	−	0.958575i
$229$	18.3099	−	8.81760i	1.20995	−	0.582684i	0.283457	−	0.958985i	$-0.408519\pi$
$229$	18.3099	−	8.81760i	1.20995	−	0.582684i	0.926497	+	0.376301i	$0.122804\pi$
$230$	0.973724	+	1.22101i	0.0642054	+	0.0805111i
$231$	3.42060	+	8.52591i	0.225059	+	0.560963i
$232$	1.03592	−	1.29900i	0.0680115	−	0.0852837i
$233$	0.846041	−	3.70675i	0.0554260	−	0.242837i	−0.939625	−	0.342207i	$-0.888826\pi$
$233$	0.846041	−	3.70675i	0.0554260	−	0.242837i	0.995051	+	0.0993699i	$0.0316827\pi$
$234$	−0.322357	+	0.404223i	−0.0210732	+	0.0264249i
$235$	13.6057	−	6.55215i	0.887537	−	0.427415i
$236$	17.2227	+	21.5966i	1.12110	+	1.40582i
$237$	8.32838	+	4.01073i	0.540986	+	0.260525i
$238$	0.839598	−	0.581751i	0.0544231	−	0.0377093i
$239$	−0.0107990	+	0.00520054i	−0.000698532	+	0.000336395i	−0.434233	−	0.900801i	$-0.642981\pi$
$239$	−0.0107990	+	0.00520054i	−0.000698532	+	0.000336395i	0.433534	+	0.901137i	$0.357266\pi$
$240$	−38.3661	−	18.4762i	−2.47652	−	1.19263i
$241$	−3.07406	−	13.4683i	−0.198018	−	0.867572i	−0.972115	−	0.234505i	$-0.924653\pi$
$241$	−3.07406	−	13.4683i	−0.198018	−	0.867572i	0.774097	−	0.633067i	$-0.218204\pi$
$242$	0.769152	+	0.370404i	0.0494429	+	0.0238105i
$243$	−1.77865	+	2.23035i	−0.114100	+	0.143077i
$244$	−3.26735			−0.209171
$245$	21.1737	+	13.9729i	1.35274	+	0.892696i
$246$	−2.89112			−0.184331
$247$	−1.56319	+	1.96018i	−0.0994634	+	0.124723i
$248$	−2.93112	−	1.41156i	−0.186127	−	0.0896338i
$249$	−4.15972	−	18.2249i	−0.263612	−	1.15496i
$250$	−0.906648	−	0.436619i	−0.0573414	−	0.0276142i
$251$	−16.4178	+	7.90640i	−1.03628	+	0.499048i	−0.873097	−	0.487547i	$-0.837892\pi$
$251$	−16.4178	+	7.90640i	−1.03628	+	0.499048i	−0.163187	+	0.986595i	$0.552177\pi$
$252$	−22.7040	−	20.7498i	−1.43022	−	1.30712i
$253$	5.11887	+	2.46512i	0.321821	+	0.154981i
$254$	−0.244025	−	0.305998i	−0.0153115	−	0.0192000i
$255$	42.2928	−	20.3671i	2.64848	−	1.27544i
$256$	9.58660	−	12.0212i	0.599163	−	0.751326i
$257$	0.577960	−	2.53221i	0.0360521	−	0.157955i	−0.953698	−	0.300767i	$-0.902757\pi$
$257$	0.577960	−	2.53221i	0.0360521	−	0.157955i	0.989750	+	0.142812i	$0.0456145\pi$
$258$	−2.01006	+	2.52054i	−0.125141	+	0.156922i
$259$	19.0982	+	5.73364i	1.18670	+	0.356271i
$260$	4.50143	+	5.64461i	0.279167	+	0.350064i
$261$	24.6975	−	11.8937i	1.52874	−	0.736202i
$262$	−0.180839	+	0.792307i	−0.0111723	+	0.0489489i
$263$	15.1567			0.934604			0.467302	−	0.884098i	$-0.345226\pi$
$263$	15.1567			0.934604			0.467302	+	0.884098i	$0.345226\pi$
$264$	1.22810			0.0755845
$265$	−3.20927	+	14.0607i	−0.197144	+	0.863745i
$266$	0.433820	+	0.396480i	0.0265992	+	0.0243097i
$267$	5.14133	+	22.5257i	0.314645	+	1.37855i
$268$	1.63951	+	7.18316i	0.100149	+	0.438781i
$269$	−4.98586	−	6.25207i	−0.303993	−	0.381195i	0.606247	−	0.795277i	$-0.292674\pi$
$269$	−4.98586	−	6.25207i	−0.303993	−	0.381195i	−0.910240	+	0.414081i	$0.864103\pi$
$270$	1.68736	+	2.11588i	0.102689	+	0.128768i
$271$	−0.246483	−	1.07991i	−0.0149728	−	0.0655999i	0.966890	−	0.255195i	$-0.0821396\pi$
$271$	−0.246483	−	1.07991i	−0.0149728	−	0.0655999i	−0.981862	+	0.189595i	$0.939282\pi$
$272$	3.83296	+	16.7933i	0.232407	+	1.01824i
$273$	2.92831	+	7.29889i	0.177230	+	0.441749i
$274$	0.0940422	−	0.412026i	0.00568130	−	0.0248914i
$275$	−9.50144			−0.572959
$276$	−28.8018			−1.73366
$277$	2.16323	−	9.47771i	0.129976	−	0.569460i	−0.867435	−	0.497550i	$-0.834233\pi$
$277$	2.16323	−	9.47771i	0.129976	−	0.569460i	0.997411	−	0.0719106i	$-0.0229096\pi$
$278$	1.29409	−	0.623202i	0.0776145	−	0.0373772i
$279$	−33.4658	−	41.9647i	−2.00354	−	2.51236i
$280$	2.78764	−	1.93153i	0.166593	−	0.115431i
$281$	7.87183	−	9.87097i	0.469594	−	0.588853i	−0.489477	−	0.872016i	$-0.662812\pi$
$281$	7.87183	−	9.87097i	0.469594	−	0.588853i	0.959072	+	0.283163i	$0.0913839\pi$
$282$	0.244189	−	1.06986i	0.0145412	−	0.0637094i
$283$	−3.54431	+	4.44442i	−0.210687	+	0.264193i	−0.875935	−	0.482429i	$-0.839755\pi$
$283$	−3.54431	+	4.44442i	−0.210687	+	0.264193i	0.665248	+	0.746623i	$0.268326\pi$
$284$	−20.7008	+	9.96898i	−1.22837	+	0.591550i
$285$	16.8394	+	21.1160i	0.997481	+	1.25080i
$286$	−0.0932440	−	0.0449039i	−0.00551363	−	0.00265523i
$287$	−14.3324	+	25.2625i	−0.846014	+	1.49120i
$288$	−5.56061	+	2.67785i	−0.327662	+	0.157794i
$289$	−1.79122	−	0.862607i	−0.105366	−	0.0507416i
$290$	0.335629	+	1.47049i	0.0197088	+	0.0863500i
$291$	−39.8660	−	19.1984i	−2.33698	−	1.12543i
$292$	1.09698	−	1.37557i	0.0641960	−	0.0804992i
$293$	5.08861			0.297280			0.148640	−	0.988891i	$-0.452511\pi$
$293$	5.08861			0.297280			0.148640	+	0.988891i	$0.452511\pi$
$294$	1.75320	−	0.569886i	0.102249	−	0.0332365i
$295$	−50.2515			−2.92575
$296$	1.66206	−	2.08415i	0.0966050	−	0.121139i
$297$	8.87046	+	4.27179i	0.514716	+	0.247874i
$298$	−0.0319017	−	0.139770i	−0.00184801	−	0.00809668i
$299$	4.38218	+	2.11035i	0.253428	+	0.122044i
$300$	43.3964	−	20.8986i	2.50549	−	1.20658i
$301$	12.0597	+	30.0592i	0.695112	+	1.73258i
$302$	0.924681	+	0.445303i	0.0532094	+	0.0256243i
$303$	21.8459	+	27.3939i	1.25502	+	1.57374i
$304$	−8.92925	+	4.30010i	−0.512128	+	0.246628i
$305$	3.70597	−	4.64714i	0.212203	−	0.266095i
$306$	0.501326	−	2.19645i	0.0286589	−	0.125563i
$307$	7.98698	−	10.0154i	0.455841	−	0.571607i	−0.499800	−	0.866141i	$-0.666593\pi$
$307$	7.98698	−	10.0154i	0.455841	−	0.571607i	0.955641	+	0.294534i	$0.0951645\pi$
$308$	3.03810	−	5.35501i	0.173112	−	0.305130i
$309$	−9.76644	−	12.2467i	−0.555594	−	0.696692i
$310$	2.66089	−	1.28142i	0.151128	−	0.0727795i
$311$	4.71890	−	20.6749i	0.267584	−	1.17236i	−0.645230	−	0.763988i	$-0.723238\pi$
$311$	4.71890	−	20.6749i	0.267584	−	1.17236i	0.912814	−	0.408375i	$-0.133904\pi$
$312$	1.05136			0.0595214
$313$	21.7117			1.22722			0.613610	−	0.789610i	$-0.289717\pi$
$313$	21.7117			1.22722			0.613610	+	0.789610i	$0.289717\pi$
$314$	−0.136061	+	0.596120i	−0.00767834	+	0.0336410i
$315$	55.2643	−	8.75649i	3.11379	−	0.493372i
$316$	−1.37856	−	6.03988i	−0.0775503	−	0.339770i
$317$	−3.71128	−	16.2602i	−0.208446	−	0.913263i	−0.965601	−	0.260027i	$-0.916268\pi$
$317$	−3.71128	−	16.2602i	−0.208446	−	0.913263i	0.757155	−	0.653235i	$-0.226589\pi$
$318$	0.653446	+	0.819396i	0.0366435	+	0.0459494i
$319$	3.42118	+	4.29003i	0.191549	+	0.240195i
$320$	6.30006	+	27.6023i	0.352184	+	1.54302i
$321$	5.38653	+	23.5999i	0.300647	+	1.31722i
$322$	0.562605	−	0.991657i	0.0313528	−	0.0552629i
$323$	2.43105	−	10.6511i	0.135267	−	0.592645i
$324$	−15.0346			−0.835253
$325$	−8.13403			−0.451195
$326$	−0.0716499	+	0.313919i	−0.00396832	+	0.0173864i
$327$	−40.0473	+	19.2858i	−2.21462	+	1.06651i
$328$	2.42095	+	3.03577i	0.133674	+	0.167622i
$329$	−8.13788	−	7.43743i	−0.448656	−	0.410039i
$330$	−0.695114	+	0.871645i	−0.0382648	+	0.0479825i
$331$	−4.94034	+	21.6450i	−0.271545	+	1.18972i	0.636644	+	0.771158i	$0.280322\pi$
$331$	−4.94034	+	21.6450i	−0.271545	+	1.18972i	−0.908189	+	0.418560i	$0.862535\pi$
$332$	−7.81139	+	9.79518i	−0.428706	+	0.537580i
$333$	39.6253	−	19.0826i	2.17145	−	1.04572i
$334$	−0.421913	−	0.529062i	−0.0230860	−	0.0289490i
$335$	−12.0762	−	5.81558i	−0.659792	−	0.317739i
$336$	−2.08933	+	31.0174i	−0.113982	+	1.69214i
$337$	5.29295	−	2.54895i	0.288325	−	0.138850i	−0.284131	−	0.958786i	$-0.591705\pi$
$337$	5.29295	−	2.54895i	0.288325	−	0.138850i	0.572456	+	0.819935i	$0.305991\pi$
$338$	−0.0798246	−	0.0384415i	−0.00434189	−	0.00209094i
$339$	7.03165	+	30.8077i	0.381907	+	1.67324i
$340$	−28.3447	−	13.6501i	−1.53721	−	0.740280i
$341$	6.69890	−	8.40016i	0.362766	−	0.454894i
$342$	1.29626			0.0700934
$343$	3.71162	−	18.1445i	0.200409	−	0.979712i
$344$	4.32983			0.233449
$345$	32.6682	−	40.9646i	1.75880	−	2.20546i
$346$	−1.16404	−	0.560574i	−0.0625794	−	0.0301366i
$347$	−4.53802	−	19.8824i	−0.243614	−	1.06734i	−0.937699	−	0.347449i	$-0.887048\pi$
$347$	−4.53802	−	19.8824i	−0.243614	−	1.06734i	0.694085	−	0.719893i	$-0.255809\pi$
$348$	−25.0617	−	12.0691i	−1.34345	−	0.646972i
$349$	−23.7952	+	11.4592i	−1.27373	+	0.613396i	−0.943771	−	0.330600i	$-0.892749\pi$
$349$	−23.7952	+	11.4592i	−1.27373	+	0.613396i	−0.329958	+	0.943996i	$0.607035\pi$
$350$	−0.128145	+	1.90239i	−0.00684962	+	0.101687i
$351$	7.59385	+	3.65700i	0.405330	+	0.195196i
$352$	−0.770274	−	0.965893i	−0.0410557	−	0.0514823i
$353$	24.0075	−	11.5614i	1.27779	−	0.615353i	0.332971	−	0.942937i	$-0.391949\pi$
$353$	24.0075	−	11.5614i	1.27779	−	0.615353i	0.944822	+	0.327584i	$0.106235\pi$
$354$	−2.27679	+	2.85500i	−0.121010	+	0.151742i
$355$	9.30090	−	40.7499i	0.493641	−	2.16278i
$356$	9.65472	−	12.1066i	0.511699	−	0.641651i
$357$	−25.2963	−	23.1190i	−1.33882	−	1.22359i
$358$	0.0695559	+	0.0872204i	0.00367615	+	0.00460974i
$359$	−16.2545	+	7.82776i	−0.857880	+	0.413133i	−0.810497	−	0.585743i	$-0.800803\pi$
$359$	−16.2545	+	7.82776i	−0.857880	+	0.413133i	−0.0473836	+	0.998877i	$0.515088\pi$
$360$	1.66450	−	7.29267i	0.0877271	−	0.384357i
$361$	−12.7141			−0.669165
$362$	−2.10208			−0.110483
$363$	6.37327	−	27.9231i	0.334510	−	1.46558i
$364$	2.60087	−	4.58433i	0.136323	−	0.240284i
$365$	0.712226	+	3.12047i	0.0372796	+	0.163333i
$366$	−0.0961144	−	0.421105i	−0.00502398	−	0.0220115i
$367$	6.76897	+	8.48802i	0.353337	+	0.443071i	0.926457	−	0.376401i	$-0.122838\pi$
$367$	6.76897	+	8.48802i	0.353337	+	0.443071i	−0.573120	+	0.819472i	$0.694267\pi$
$368$	11.9876	+	15.0320i	0.624897	+	0.783596i
$369$	14.2552	+	62.4562i	0.742097	+	3.25134i
$370$	0.538492	+	2.35929i	0.0279949	+	0.122653i
$371$	10.3992	−	1.64773i	0.539902	−	0.0855461i
$372$	−12.1199	+	53.1009i	−0.628389	+	2.75315i
$373$	18.3767			0.951509			0.475754	−	0.879578i	$-0.342175\pi$
$373$	18.3767			0.951509			0.475754	+	0.879578i	$0.342175\pi$
$374$	0.450974			0.0233193
$375$	−7.51258	+	32.9148i	−0.387948	+	1.69971i
$376$	−1.32787	+	0.639468i	−0.0684796	+	0.0329781i
$377$	2.92882	+	3.67262i	0.150842	+	0.189150i
$378$	0.974935	−	1.71844i	0.0501452	−	0.0883868i
$379$	1.71481	−	2.15031i	0.0880841	−	0.110454i	−0.735836	−	0.677159i	$-0.763211\pi$
$379$	1.71481	−	2.15031i	0.0880841	−	0.110454i	0.823921	+	0.566705i	$0.191782\pi$
$380$	4.02786	−	17.6472i	0.206625	−	0.905283i
$381$	−8.18698	+	10.2661i	−0.419432	+	0.525951i
$382$	0.229474	−	0.110509i	0.0117409	−	0.00565413i
$383$	22.3464	+	28.0215i	1.14185	+	1.43183i	0.885127	+	0.465349i	$0.154071\pi$
$383$	22.3464	+	28.0215i	1.14185	+	1.43183i	0.256723	+	0.966485i	$0.417357\pi$
$384$	7.51850	+	3.62072i	0.383677	+	0.184769i
$385$	4.17046	+	10.3950i	0.212546	+	0.529776i
$386$	−1.29799	+	0.625081i	−0.0660662	+	0.0318158i
$387$	64.3617	+	30.9950i	3.27169	+	1.57556i
$388$	6.59886	+	28.9115i	0.335006	+	1.46776i
$389$	−12.5311	−	6.03467i	−0.635353	−	0.305970i	0.0883417	−	0.996090i	$-0.471843\pi$
$389$	−12.5311	−	6.03467i	−0.635353	−	0.305970i	−0.723695	+	0.690120i	$0.757558\pi$
$390$	−0.595075	+	0.746201i	−0.0301328	+	0.0377853i
$391$	−21.1944			−1.07185
$392$	−2.06648	−	1.36371i	−0.104373	−	0.0688777i
$393$	27.2653			1.37535
$394$	−0.332984	+	0.417548i	−0.0167755	+	0.0210358i
$395$	10.1541	+	4.88997i	0.510910	+	0.246041i
$396$	−3.02175	−	13.2391i	−0.151848	−	0.665291i
$397$	−2.13199	−	1.02671i	−0.107002	−	0.0515293i	0.379617	−	0.925144i	$-0.376056\pi$
$397$	−2.13199	−	1.02671i	−0.107002	−	0.0515293i	−0.486619	+	0.873614i	$0.661770\pi$
$398$	0.454837	−	0.219038i	0.0227989	−	0.0109794i
$399$	9.72961	−	17.1496i	0.487090	−	0.858552i
$400$	−28.9693	−	13.9509i	−1.44847	−	0.697544i
$401$	2.35308	+	2.95067i	0.117507	+	0.147349i	0.837106	−	0.547041i	$-0.184246\pi$
$401$	2.35308	+	2.95067i	0.117507	+	0.147349i	−0.719599	+	0.694390i	$0.755674\pi$
$402$	−0.877555	+	0.422608i	−0.0437684	+	0.0210778i
$403$	5.73482	−	7.19124i	0.285672	−	0.358221i
$404$	5.22538	−	22.8939i	0.259972	−	1.13901i
$405$	17.0528	−	21.3836i	0.847363	−	1.06256i
$406$	0.905094	−	0.627133i	0.0449190	−	0.0311241i
$407$	5.48903	+	6.88302i	0.272081	+	0.341179i
$408$	−4.12763	+	1.98776i	−0.204348	+	0.0984090i
$409$	−6.46220	+	28.3127i	−0.319535	+	1.39997i	0.518836	+	0.854874i	$0.326366\pi$
$409$	−6.46220	+	28.3127i	−0.319535	+	1.39997i	−0.838371	+	0.545100i	$0.816491\pi$
$410$	−3.52491			−0.174083
$411$	−14.1789			−0.699391
$412$	−2.33606	+	10.2349i	−0.115089	+	0.504239i
$413$	13.6600	+	34.0479i	0.672165	+	1.67539i
$414$	−0.559576	−	2.45166i	−0.0275017	−	0.120493i
$415$	−5.07162	−	22.2202i	−0.248956	−	1.09075i
$416$	−0.659419	−	0.826885i	−0.0323307	−	0.0405414i
$417$	−30.0451	−	37.6754i	−1.47132	−	1.84497i
$418$	0.0577383	+	0.252968i	0.00282407	+	0.0123731i
$419$	−2.63589	−	11.5486i	−0.128772	−	0.564185i	−0.997610	−	0.0690900i	$-0.977990\pi$
$419$	−2.63589	−	11.5486i	−0.128772	−	0.564185i	0.868839	−	0.495095i	$-0.164867\pi$
$420$	−41.9119	−	38.3044i	−2.04509	−	1.86907i
$421$	−2.81722	+	12.3431i	−0.137303	+	0.601564i	0.858718	+	0.512448i	$0.171261\pi$
$421$	−2.81722	+	12.3431i	−0.137303	+	0.601564i	−0.996021	+	0.0891160i	$0.971596\pi$
$422$	−0.141025			−0.00686501
$423$	−24.3160			−1.18229
$424$	0.313215	−	1.37228i	0.0152110	−	0.0666439i
$425$	31.9342	−	15.3787i	1.54904	−	0.745977i
$426$	−1.89377	−	2.37472i	−0.0917536	−	0.115055i
$427$	−4.15608	−	1.24773i	−0.201127	−	0.0603821i
$428$	10.1152	−	12.6840i	0.488935	−	0.613106i
$429$	−0.772630	+	3.38511i	−0.0373029	+	0.163435i
$430$	−2.45071	+	3.07309i	−0.118184	+	0.148198i
$431$	6.25506	−	3.01228i	0.301295	−	0.145096i	−0.277128	−	0.960833i	$-0.589383\pi$
$431$	6.25506	−	3.01228i	0.301295	−	0.145096i	0.578423	+	0.815737i	$0.303668\pi$
$432$	20.7732	+	26.0488i	0.999453	+	1.25327i
$433$	−19.5402	−	9.41008i	−0.939043	−	0.452219i	−0.0992118	−	0.995066i	$-0.531632\pi$
$433$	−19.5402	−	9.41008i	−0.939043	−	0.452219i	−0.839832	+	0.542847i	$0.817346\pi$
$434$	−1.59154	−	1.45455i	−0.0763963	−	0.0698207i
$435$	45.5920	−	21.9559i	2.18597	−	1.05271i
$436$	26.8398	+	12.9254i	1.28539	+	0.619013i
$437$	−2.71352	−	11.8887i	−0.129805	−	0.568715i
$438$	0.209557	+	0.100917i	0.0100130	+	0.00482201i
$439$	18.3112	−	22.9615i	0.873944	−	1.09589i	−0.120716	−	0.992687i	$-0.538519\pi$
$439$	18.3112	−	22.9615i	0.873944	−	1.09589i	0.994660	−	0.103204i	$-0.0329095\pi$
$440$	1.49733			0.0713823
$441$	−20.9556	−	35.0640i	−0.997887	−	1.66971i
$442$	0.386072			0.0183636
$443$	−22.0253	+	27.6188i	−1.04645	+	1.31221i	−0.0980372	+	0.995183i	$0.531256\pi$
$443$	−22.0253	+	27.6188i	−1.04645	+	1.31221i	−0.948416	+	0.317028i	$0.897315\pi$
$444$	−40.2097	−	19.3640i	−1.90827	−	0.918973i
$445$	6.26842	+	27.4638i	0.297152	+	1.30191i
$446$	−1.31290	−	0.632262i	−0.0621679	−	0.0299385i
$447$	−4.33353	+	2.08692i	−0.204969	+	0.0987078i
$448$	16.9894	−	11.7718i	0.802674	−	0.556167i
$449$	−20.5347	−	9.88900i	−0.969093	−	0.466691i	−0.118753	−	0.992924i	$-0.537890\pi$
$449$	−20.5347	−	9.88900i	−0.969093	−	0.466691i	−0.850340	+	0.526233i	$0.823604\pi$
$450$	2.62206	+	3.28796i	0.123605	+	0.154996i
$451$	−11.5536	+	5.56390i	−0.544036	+	0.261994i
$452$	13.2045	−	16.5579i	0.621086	−	0.778817i
$453$	7.66201	−	33.5694i	0.359993	−	1.57723i
$454$	0.190287	−	0.238612i	0.00893061	−	0.0111986i
$455$	3.57026	+	8.89896i	0.167376	+	0.417189i
$456$	−1.64347	−	2.06085i	−0.0769626	−	0.0965081i
$457$	−34.9485	+	16.8303i	−1.63482	+	0.787288i	−0.634928	+	0.772571i	$0.718970\pi$
$457$	−34.9485	+	16.8303i	−1.63482	+	0.787288i	−0.999892	+	0.0147170i	$0.995315\pi$
$458$	0.400659	−	1.75540i	0.0187216	−	0.0820246i
$459$	−36.7276			−1.71430
$460$	−35.1157			−1.63728
$461$	6.09259	−	26.6934i	0.283760	−	1.24323i	−0.609170	−	0.793040i	$-0.708497\pi$
$461$	6.09259	−	26.6934i	0.283760	−	1.24323i	0.892930	−	0.450195i	$-0.148646\pi$
$462$	0.779538	+	0.234032i	0.0362674	+	0.0108882i
$463$	1.09981	+	4.81860i	0.0511127	+	0.223939i	0.994033	−	0.109079i	$-0.0347901\pi$
$463$	1.09981	+	4.81860i	0.0511127	+	0.223939i	−0.942920	+	0.333018i	$0.891933\pi$
$464$	4.13196	+	18.1033i	0.191822	+	0.840426i
$465$	−61.7782	−	77.4674i	−2.86490	−	3.59247i
$466$	−0.210028	−	0.263367i	−0.00972935	−	0.0122002i
$467$	−4.76222	−	20.8646i	−0.220369	−	0.965500i	−0.957201	−	0.289424i	$-0.906536\pi$
$467$	−4.76222	−	20.8646i	−0.220369	−	0.965500i	0.736832	−	0.676076i	$-0.236321\pi$
$468$	−2.58687	−	11.3338i	−0.119578	−	0.523905i
$469$	−0.657641	+	9.76308i	−0.0303670	+	0.450817i
$470$	0.297720	−	1.30440i	0.0137328	−	0.0601674i
$471$	20.5140			0.945236
$472$	4.90437			0.225742
$473$	−3.18194	+	13.9410i	−0.146306	+	0.641007i
$474$	0.737883	−	0.355346i	0.0338921	−	0.0163216i
$475$	12.7150	+	15.9441i	0.583406	+	0.731567i
$476$	−1.54359	+	22.9155i	−0.0707501	+	1.05033i
$477$	14.4793	−	18.1565i	0.662961	−	0.831327i
$478$	−0.000236305		0.00103532i	−1.08083e−5		4.73545e-5i
$479$	−5.11955	+	6.41972i	−0.233918	+	0.293324i	−0.884911	−	0.465759i	$-0.845781\pi$
$479$	−5.11955	+	6.41972i	−0.233918	+	0.293324i	0.650993	+	0.759084i	$0.274353\pi$
$480$	−10.2650	+	4.94334i	−0.468529	+	0.225632i
$481$	4.69907	+	5.89244i	0.214259	+	0.268672i
$482$	−1.10275	−	0.531058i	−0.0502290	−	0.0241890i
$483$	−36.6359	−	10.9988i	−1.66699	−	0.500462i
$484$	−17.2945	+	8.32857i	−0.786112	+	0.378571i
$485$	−48.6054	−	23.4071i	−2.20706	−	1.06286i
$486$	0.0562417	+	0.246411i	0.00255117	+	0.0111774i
$487$	12.2784	+	5.91296i	0.556387	+	0.267942i	0.690876	−	0.722973i	$-0.257225\pi$
$487$	12.2784	+	5.91296i	0.556387	+	0.267942i	−0.134489	+	0.990915i	$0.542939\pi$
$488$	−0.361691	+	0.453546i	−0.0163730	+	0.0205310i
$489$	10.8027			0.488517
$490$	2.13753	−	0.694818i	0.0965640	−	0.0313887i
$491$	−2.92537			−0.132020			−0.0660100	−	0.997819i	$-0.521027\pi$
$491$	−2.92537			−0.132020			−0.0660100	+	0.997819i	$0.521027\pi$
$492$	40.5312	−	50.8246i	1.82729	−	2.29135i
$493$	−18.4422	−	8.88131i	−0.830597	−	0.399994i
$494$	0.0494288	+	0.216562i	0.00222391	+	0.00974358i
$495$	22.2574	+	10.7186i	1.00039	+	0.481764i
$496$	32.7584	−	15.7756i	1.47090	−	0.708347i
$497$	−30.1384	+	4.77535i	−1.35189	+	0.214204i
$498$	−1.49221	−	0.718611i	−0.0668676	−	0.0322017i
$499$	9.20842	+	11.5470i	0.412226	+	0.516915i	0.943988	−	0.329979i	$-0.107042\pi$
$499$	9.20842	+	11.5470i	0.412226	+	0.516915i	−0.531763	+	0.846893i	$0.678470\pi$
$500$	20.3861	−	9.81742i	0.911693	−	0.439048i
$501$	−14.1551	+	17.7499i	−0.632402	+	0.793007i
$502$	−0.359256	+	1.57400i	−0.0160344	+	0.0702511i
$503$	−15.8161	+	19.8328i	−0.705207	+	0.884301i	−0.997400	−	0.0720581i	$-0.977043\pi$
$503$	−15.8161	+	19.8328i	−0.705207	+	0.884301i	0.292194	+	0.956359i	$0.405615\pi$
$504$	−5.39361	+	0.854604i	−0.240251	+	0.0380671i
$505$	26.6350	+	33.3992i	1.18524	+	1.48625i
$506$	0.453525	−	0.218406i	0.0201616	−	0.00970933i
$507$	−0.661435	+	2.89794i	−0.0293754	+	0.128702i
$508$	8.80035			0.390452
$509$	0.127302			0.00564258			0.00282129	−	0.999996i	$-0.499102\pi$
$509$	0.127302			0.00564258			0.00282129	+	0.999996i	$0.499102\pi$
$510$	0.925453	−	4.05467i	0.0409797	−	0.179544i
$511$	1.92066	−	1.33081i	0.0849652	−	0.0588717i
$512$	−1.55255	−	6.80214i	−0.0686134	−	0.300615i
$513$	−4.70225	−	20.6019i	−0.207609	−	0.909596i
$514$	−0.143477	−	0.179915i	−0.00632851	−	0.00793570i
$515$	−11.9075	−	14.9315i	−0.524705	−	0.657959i
$516$	−16.1304	−	70.6721i	−0.710103	−	3.11116i
$517$	−1.08309	−	4.74535i	−0.0476345	−	0.208700i
$518$	1.45215	−	1.00619i	0.0638040	−	0.0442093i
$519$	−9.64539	+	42.2592i	−0.423386	+	1.85497i
$520$	1.28184			0.0562123
$521$	33.3305			1.46023			0.730117	−	0.683322i	$-0.239466\pi$
$521$	33.3305			1.46023			0.730117	+	0.683322i	$0.239466\pi$
$522$	0.540433	−	2.36779i	0.0236541	−	0.103635i
$523$	12.2229	−	5.88624i	0.534471	−	0.257387i	−0.147123	−	0.989118i	$-0.547001\pi$
$523$	12.2229	−	5.88624i	0.534471	−	0.257387i	0.681594	+	0.731731i	$0.261287\pi$
$524$	−11.3932	−	14.2866i	−0.497714	−	0.624114i
$525$	63.1811	−	10.0109i	2.75745	−	0.436910i
$526$	0.837263	−	1.04989i	0.0365064	−	0.0457776i
$527$	−8.91871	+	39.0754i	−0.388505	+	1.70215i
$528$	−8.55761	+	10.7309i	−0.372422	+	0.467003i
$529$	−0.591979	+	0.285082i	−0.0257382	+	0.0123949i
$530$	0.796696	+	0.999025i	0.0346062	+	0.0433949i
$531$	72.9022	+	35.1078i	3.16368	+	1.52355i
$532$	−13.0518	+	2.06802i	−0.565866	+	0.0896600i
$533$	−9.89081	+	4.76316i	−0.428418	+	0.206315i
$534$	1.84434	+	0.888189i	0.0798126	+	0.0384357i
$535$	6.56737	+	28.7735i	0.283932	+	1.24399i
$536$	1.17859	+	0.567581i	0.0509075	+	0.0245158i
$537$	2.33358	−	2.92622i	0.100702	−	0.126276i
$538$	−0.708496			−0.0305455
$539$	5.90944	−	5.65139i	0.254537	−	0.243423i
$540$	−60.8518			−2.61864
$541$	13.6959	−	17.1741i	0.588831	−	0.738370i	−0.394760	−	0.918784i	$-0.629172\pi$
$541$	13.6959	−	17.1741i	0.588831	−	0.738370i	0.983591	+	0.180414i	$0.0577437\pi$
$542$	−0.0884204	−	0.0425810i	−0.00379798	−	0.00182901i
$543$	15.6931	+	68.7559i	0.673455	+	2.95060i
$544$	4.15224	+	1.99961i	0.178026	+	0.0857327i
$545$	−48.8266	+	23.5136i	−2.09150	+	1.00721i
$546$	0.667349	+	0.200351i	0.0285599	+	0.00857423i
$547$	−34.7988	−	16.7582i	−1.48789	−	0.716529i	−0.499196	−	0.866489i	$-0.666371\pi$
$547$	−34.7988	−	16.7582i	−1.48789	−	0.716529i	−0.988692	+	0.149960i	$0.952086\pi$
$548$	5.92483	+	7.42951i	0.253096	+	0.317373i
$549$	−8.62312	+	4.15268i	−0.368026	+	0.177232i
$550$	−0.524863	+	0.658158i	−0.0223802	+	0.0280639i
$551$	2.62069	−	11.4820i	0.111645	−	0.489150i
$552$	−3.18831	+	3.99801i	−0.135703	+	0.170167i
$553$	0.552971	−	8.20918i	0.0235147	−	0.349090i
$554$	−0.537016	−	0.673397i	−0.0228156	−	0.0286099i
$555$	73.1488	−	35.2266i	3.10499	−	1.49529i
$556$	−7.18657	+	31.4864i	−0.304778	+	1.33532i
$557$	−1.03848			−0.0440019			−0.0220009	−	0.999758i	$-0.507004\pi$
$557$	−1.03848			−0.0440019			−0.0220009	+	0.999758i	$0.507004\pi$
$558$	−4.75553			−0.201317
$559$	−2.72400	+	11.9346i	−0.115213	+	0.504781i
$560$	−2.54736	+	37.8171i	−0.107645	+	1.59806i
$561$	−3.36676	−	14.7507i	−0.142145	−	0.622777i
$562$	−0.248911	−	1.09055i	−0.0104997	−	0.0460021i
$563$	−24.4350	−	30.6406i	−1.02981	−	1.29135i	−0.955778	−	0.294090i	$-0.904984\pi$
$563$	−24.4350	−	30.6406i	−1.02981	−	1.29135i	−0.0740356	−	0.997256i	$-0.523588\pi$
$564$	15.3844	+	19.2914i	0.647799	+	0.812314i
$565$	8.57313	+	37.5613i	0.360674	+	1.58022i
$566$	0.112073	+	0.491023i	0.00471077	+	0.0206392i
$567$	−19.1240	−	5.74138i	−0.803131	−	0.241115i
$568$	−0.907737	+	3.97706i	−0.0380878	+	0.166874i
$569$	42.8991			1.79842			0.899212	−	0.437514i	$-0.144141\pi$
$569$	42.8991			1.79842			0.899212	+	0.437514i	$0.144141\pi$
$570$	2.39290			0.100228
$571$	−0.0633847	+	0.277706i	−0.00265257	+	0.0116217i	−0.976237	−	0.216706i	$-0.930469\pi$
$571$	−0.0633847	+	0.277706i	−0.00265257	+	0.0116217i	0.973584	+	0.228328i	$0.0733258\pi$
$572$	2.09660	−	1.00967i	0.0876633	−	0.0422164i
$573$	−5.32774	−	6.68077i	−0.222569	−	0.279093i
$574$	0.958187	+	2.38830i	0.0399940	+	0.0996858i
$575$	24.6669	−	30.9314i	1.02868	−	1.28993i
$576$	10.1444	−	44.4455i	0.422683	−	1.85190i
$577$	−21.0254	+	26.3651i	−0.875300	+	1.09759i	0.119201	+	0.992870i	$0.461967\pi$
$577$	−21.0254	+	26.3651i	−0.875300	+	1.09759i	−0.994502	+	0.104722i	$0.966605\pi$
$578$	−0.158700	+	0.0764258i	−0.00660104	+	0.00317890i
$579$	30.1357	+	37.7890i	1.25240	+	1.57046i
$580$	−30.5558	−	14.7149i	−1.26876	−	0.611003i
$581$	−13.6767	+	9.47647i	−0.567404	+	0.393150i
$582$	−3.53207	+	1.70096i	−0.146409	+	0.0705069i
$583$	4.18823	+	2.01695i	0.173459	+	0.0835334i
$584$	−0.0695109	−	0.304547i	−0.00287638	−	0.0126022i
$585$	19.0542	+	9.17600i	0.787792	+	0.379381i
$586$	0.281096	−	0.352484i	0.0116120	−	0.0145610i
$587$	−14.3952			−0.594153			−0.297077	−	0.954854i	$-0.596012\pi$
$587$	−14.3952			−0.594153			−0.297077	+	0.954854i	$0.596012\pi$
$588$	−14.5601	+	38.8098i	−0.600449	+	1.60049i
$589$	−23.0607			−0.950200
$590$	−2.77591	+	3.48088i	−0.114282	+	0.143306i
$591$	16.1433	+	7.77421i	0.664047	+	0.319788i
$592$	6.62942	+	29.0454i	0.272468	+	1.19376i
$593$	21.7694	+	10.4836i	0.893964	+	0.430510i	0.823705	−	0.567018i	$-0.191903\pi$
$593$	21.7694	+	10.4836i	0.893964	+	0.430510i	0.0702589	+	0.997529i	$0.477617\pi$
$594$	0.785910	−	0.378474i	0.0322463	−	0.0155290i
$595$	−30.8418	−	28.1872i	−1.26439	−	1.15556i
$596$	2.90434	+	1.39866i	0.118966	+	0.0572912i
$597$	−10.5600	−	13.2418i	−0.432193	−	0.541953i
$598$	0.388255	−	0.186974i	0.0158769	−	0.00764593i
$599$	1.29879	−	1.62863i	0.0530671	−	0.0665441i	−0.754590	−	0.656197i	$-0.772164\pi$
$599$	1.29879	−	1.62863i	0.0530671	−	0.0665441i	0.807657	+	0.589653i	$0.200735\pi$
$600$	1.90295	−	8.33736i	0.0776875	−	0.340371i
$601$	−16.6111	+	20.8297i	−0.677582	+	0.849661i	−0.995129	−	0.0985814i	$-0.968570\pi$
$601$	−16.6111	+	20.8297i	−0.677582	+	0.849661i	0.317547	+	0.948243i	$0.397141\pi$
$602$	2.74836	+	0.825110i	0.112015	+	0.0336290i
$603$	13.4565	+	16.8739i	0.547990	+	0.687157i
$604$	−20.7916	+	10.0127i	−0.845997	+	0.407410i
$605$	7.77043	−	34.0445i	0.315913	−	1.38410i
$606$	3.10433			0.126105
$607$	−27.3905			−1.11174			−0.555872	−	0.831268i	$-0.687616\pi$
$607$	−27.3905			−1.11174			−0.555872	+	0.831268i	$0.687616\pi$
$608$	−0.590045	+	2.58516i	−0.0239295	+	0.104842i
$609$	−27.2696	−	24.9225i	−1.10502	−	1.00991i
$610$	−0.117185	−	0.513420i	−0.00474467	−	0.0207877i
$611$	−0.927219	−	4.06241i	−0.0375113	−	0.164348i
$612$	31.5844	+	39.6056i	1.27673	+	1.60096i
$613$	−3.28846	−	4.12360i	−0.132820	−	0.166550i	0.710974	−	0.703218i	$-0.248254\pi$
$613$	−3.28846	−	4.12360i	−0.132820	−	0.166550i	−0.843794	+	0.536668i	$0.819683\pi$
$614$	−0.252552	−	1.10650i	−0.0101922	−	0.0446549i
$615$	26.3153	+	115.295i	1.06114	+	4.64914i
$616$	−0.407023	−	1.01451i	−0.0163994	−	0.0408759i
$617$	2.71908	−	11.9131i	0.109466	−	0.479602i	−0.890243	−	0.455486i	$-0.849466\pi$
$617$	2.71908	−	11.9131i	0.109466	−	0.479602i	0.999709	−	0.0241165i	$-0.00767727\pi$
$618$	−1.38782			−0.0558265
$619$	30.1812			1.21309			0.606543	−	0.795050i	$-0.292556\pi$
$619$	30.1812			1.21309			0.606543	+	0.795050i	$0.292556\pi$
$620$	−14.7769	+	64.7417i	−0.593453	+	2.60009i
$621$	−36.9353	+	17.7871i	−1.48216	+	0.713773i
$622$	−1.17146	−	1.46896i	−0.0469712	−	0.0589000i
$623$	16.9041	−	11.7127i	0.677248	−	0.469260i
$624$	−7.32603	+	9.18655i	−0.293276	+	0.367756i
$625$	−0.109539	+	0.479920i	−0.00438154	+	0.0191968i
$626$	1.19936	−	1.50395i	0.0479362	−	0.0601101i
$627$	7.84319	−	3.77708i	0.313227	−	0.150842i
$628$	−8.57207	−	10.7490i	−0.342063	−	0.428933i
$629$	−29.5892	−	14.2494i	−1.17980	−	0.568160i
$630$	2.44626	−	4.31183i	0.0974615	−	0.171787i
$631$	27.6109	−	13.2967i	1.09917	−	0.529333i	0.205773	−	0.978600i	$-0.434029\pi$
$631$	27.6109	−	13.2967i	1.09917	−	0.529333i	0.893398	+	0.449267i	$0.148315\pi$
$632$	−0.991010	−	0.477245i	−0.0394202	−	0.0189838i
$633$	1.05283	+	4.61274i	0.0418462	+	0.183340i
$634$	−1.33134	−	0.641141i	−0.0528744	−	0.0254630i
$635$	−9.98173	+	12.5167i	−0.396113	+	0.496710i
$636$	−23.5654			−0.934431
$637$	5.05897	−	4.83806i	0.200444	−	0.191691i
$638$	0.486154			0.0192470
$639$	−41.9629	+	52.6198i	−1.66003	+	2.08161i
$640$	9.16671	+	4.41446i	0.362346	+	0.174497i
$641$	9.39957	+	41.1822i	0.371261	+	1.62660i	0.723244	+	0.690593i	$0.242650\pi$
$641$	9.39957	+	41.1822i	0.371261	+	1.62660i	−0.351983	+	0.936006i	$0.614492\pi$
$642$	1.93230	+	0.930548i	0.0762619	+	0.0367258i
$643$	−3.11536	+	1.50028i	−0.122858	+	0.0591653i	−0.494303	−	0.869290i	$-0.664577\pi$
$643$	−3.11536	+	1.50028i	−0.122858	+	0.0591653i	0.371445	+	0.928455i	$0.378862\pi$
$644$	9.54561	+	23.7926i	0.376150	+	0.937561i
$645$	118.812	+	57.2171i	4.67824	+	2.25292i
$646$	−0.603503	−	0.756769i	−0.0237445	−	0.0297747i
$647$	15.7211	−	7.57087i	0.618059	−	0.297642i	−0.0985332	−	0.995134i	$-0.531415\pi$
$647$	15.7211	−	7.57087i	0.618059	−	0.297642i	0.716592	+	0.697492i	$0.245701\pi$
$648$	−1.66430	+	2.08697i	−0.0653799	+	0.0819838i
$649$	−3.60416	+	15.7909i	−0.141476	+	0.619846i
$650$	−0.449327	+	0.563438i	−0.0176240	+	0.0220998i
$651$	−35.6947	+	62.9160i	−1.39898	+	2.46587i
$652$	−4.51408	−	5.66048i	−0.176785	−	0.221681i
$653$	−9.17739	+	4.41960i	−0.359139	+	0.172952i	−0.604748	−	0.796417i	$-0.706726\pi$
$653$	−9.17739	+	4.41960i	−0.359139	+	0.172952i	0.245609	+	0.969369i	$0.421012\pi$
$654$	−0.876318	+	3.83940i	−0.0342668	+	0.150132i
$655$	33.2424			1.29889
$656$	−43.3955			−1.69431
$657$	1.14683	−	5.02460i	0.0447422	−	0.196028i
$658$	−0.964725	+	0.152858i	−0.0376089	+	0.00595903i
$659$	9.83426	+	43.0867i	0.383088	+	1.67842i	0.687741	+	0.725956i	$0.258602\pi$
$659$	9.83426	+	43.0867i	0.383088	+	1.67842i	−0.304653	+	0.952464i	$0.598540\pi$
$660$	−5.57818	−	24.4396i	−0.217130	−	0.951310i
$661$	0.0399718	+	0.0501231i	0.00155472	+	0.00194956i	0.782608	−	0.622515i	$-0.213889\pi$
$661$	0.0399718	+	0.0501231i	0.00155472	+	0.00194956i	−0.781054	+	0.624464i	$0.785317\pi$
$662$	1.22643	+	1.53789i	0.0476665	+	0.0597719i
$663$	−2.88223	−	12.6279i	−0.111936	−	0.490426i
$664$	0.494973	+	2.16862i	0.0192087	+	0.0841588i
$665$	11.8625	−	20.9091i	0.460010	−	0.810820i
$666$	0.867084	−	3.79894i	0.0335988	−	0.147206i
$667$	−22.8477			−0.884668
$668$	15.2156			0.588708
$669$	−10.8789	+	47.6634i	−0.420601	+	1.84278i
$670$	−1.06993	+	0.515253i	−0.0413351	+	0.0199059i
$671$	−1.19450	−	1.49786i	−0.0461133	−	0.0578242i
$672$	6.13972	+	5.61125i	0.236845	+	0.216459i
$673$	5.57443	−	6.99012i	0.214879	−	0.269449i	−0.662697	−	0.748888i	$-0.730588\pi$
$673$	5.57443	−	6.99012i	0.214879	−	0.269449i	0.877575	+	0.479439i	$0.159160\pi$
$674$	0.115821	−	0.507443i	0.00446124	−	0.0195460i
$675$	42.7452	−	53.6008i	1.64526	−	2.06309i
$676$	1.79487	−	0.864362i	0.0690333	−	0.0332447i
$677$	13.4708	+	16.8919i	0.517727	+	0.649209i	0.970125	−	0.242608i	$-0.0780027\pi$
$677$	13.4708	+	16.8919i	0.517727	+	0.649209i	−0.452398	+	0.891816i	$0.649431\pi$
$678$	2.52245	+	1.21475i	0.0968742	+	0.0466522i
$679$	−2.64694	+	39.2954i	−0.101580	+	1.50802i
$680$	−5.03250	+	2.42352i	−0.192987	+	0.0929379i
$681$	−9.22526	−	4.44265i	−0.353513	−	0.170243i
$682$	−0.211823	−	0.928056i	−0.00811111	−	0.0355371i
$683$	26.5811	+	12.8008i	1.01710	+	0.489809i	0.866707	−	0.498817i	$-0.166232\pi$
$683$	26.5811	+	12.8008i	1.01710	+	0.489809i	0.150392	+	0.988626i	$0.451946\pi$
$684$	−18.1725	+	22.7876i	−0.694843	+	0.871306i
$685$	−17.2872			−0.660508
$686$	−1.05183	−	1.25941i	−0.0401589	−	0.0480845i
$687$	−60.4079			−2.30470
$688$	−30.1709	+	37.8332i	−1.15026	+	1.44238i
$689$	3.58548	+	1.72667i	0.136596	+	0.0657810i
$690$	−1.03298	−	4.52580i	−0.0393250	−	0.172294i
$691$	3.53431	+	1.70203i	0.134451	+	0.0647484i	0.499900	−	0.866083i	$-0.333370\pi$
$691$	3.53431	+	1.70203i	0.134451	+	0.0647484i	−0.365449	+	0.930832i	$0.619084\pi$
$692$	26.1736	−	12.6046i	0.994973	−	0.479154i
$693$	1.21208	−	17.9941i	0.0460433	−	0.683541i
$694$	−1.62792	−	0.783964i	−0.0617950	−	0.0297589i
$695$	−36.6317	−	45.9347i	−1.38952	−	1.74240i
$696$	−4.44962	+	2.14283i	−0.168663	+	0.0812236i
$697$	29.8258	−	37.4004i	1.12973	−	1.41664i
$698$	−0.520689	+	2.28129i	−0.0197084	+	0.0863479i
$699$	−7.04638	+	8.83589i	−0.266519	+	0.334204i
$700$	−31.6466	−	28.9227i	−1.19613	−	1.09318i
$701$	−21.0288	−	26.3692i	−0.794245	−	0.995952i	−0.999850	−	0.0173166i	$-0.994488\pi$
$701$	−21.0288	−	26.3692i	−0.794245	−	0.995952i	0.205605	−	0.978635i	$-0.434084\pi$
$702$	0.672805	−	0.324006i	0.0253934	−	0.0122288i
$703$	4.20470	−	18.4220i	0.158583	−	0.694799i
$704$	9.12554			0.343932
$705$	−44.8877			−1.69057
$706$	0.525335	−	2.30164i	0.0197712	−	0.0866234i
$707$	15.3894	−	27.1256i	0.578777	−	1.02016i
$708$	−18.2709	−	80.0499i	−0.686661	−	3.00846i
$709$	9.12215	+	39.9668i	0.342590	+	1.50098i	0.793587	+	0.608457i	$0.208211\pi$
$709$	9.12215	+	39.9668i	0.342590	+	1.50098i	−0.450997	+	0.892525i	$0.648931\pi$
$710$	−2.30893	−	2.89531i	−0.0866526	−	0.108659i
$711$	−11.3147	−	14.1882i	−0.424336	−	0.532100i
$712$	−0.611777	−	2.68037i	−0.0229273	−	0.100451i
$713$	9.95501	+	43.6157i	0.372818	+	1.63342i
$714$	−2.99881	+	0.475154i	−0.112228	+	0.0177822i
$715$	−0.942006	+	4.12720i	−0.0352290	+	0.154348i
$716$	−2.50842			−0.0937440
$717$	0.0356280			0.00133055
$718$	−0.355682	+	1.55835i	−0.0132739	+	0.0581569i
$719$	33.7002	−	16.2292i	1.25681	−	0.605246i	0.317477	−	0.948266i	$-0.397164\pi$
$719$	33.7002	−	16.2292i	1.25681	−	0.605246i	0.939328	+	0.343020i	$0.111450\pi$
$720$	52.1233	+	65.3606i	1.94252	+	2.43584i
$721$	−6.87998	+	12.1268i	−0.256224	+	0.451624i
$722$	−0.702334	+	0.880698i	−0.0261381	+	0.0327762i
$723$	−9.13753	+	40.0341i	−0.339828	+	1.48889i
$724$	29.4695	−	36.9536i	1.09522	−	1.37337i
$725$	34.4253	−	16.5784i	1.27853	−	0.615705i
$726$	−1.58215	−	1.98396i	−0.0587191	−	0.0736315i
$727$	−20.8501	−	10.0409i	−0.773286	−	0.372395i	0.00525713	−	0.999986i	$-0.498327\pi$
$727$	−20.8501	−	10.0409i	−0.773286	−	0.372395i	−0.778543	+	0.627591i	$0.784041\pi$
$728$	−0.348446	−	0.868509i	−0.0129143	−	0.0321891i
$729$	28.0384	−	13.5026i	1.03846	−	0.500096i
$730$	0.255496	+	0.123040i	0.00945632	+	0.00455393i
$731$	−11.8699	−	52.0056i	−0.439025	−	1.92350i
$732$	8.75029	+	4.21392i	0.323420	+	0.155751i
$733$	6.96012	−	8.72772i	0.257078	−	0.322366i	−0.636497	−	0.771279i	$-0.719617\pi$
$733$	6.96012	−	8.72772i	0.257078	−	0.322366i	0.893575	+	0.448913i	$0.148189\pi$
$734$	0.961878			0.0355036
$735$	−38.6843	−	64.7286i	−1.42689	−	2.38755i
$736$	5.14413			0.189615
$737$	−2.69361	+	3.37767i	−0.0992202	+	0.124418i
$738$	5.11375	+	2.46265i	0.188240	+	0.0906516i
$739$	−4.33767	−	19.0046i	−0.159564	−	0.699095i	−0.989892	−	0.141821i	$-0.954704\pi$
$739$	−4.33767	−	19.0046i	−0.159564	−	0.699095i	0.830328	−	0.557274i	$-0.188153\pi$
$740$	−49.0245	−	23.6089i	−1.80218	−	0.867882i
$741$	6.71442	−	3.23350i	0.246660	−	0.118785i
$742$	0.460321	−	0.811369i	0.0168989	−	0.0297863i
$743$	−22.6091	−	10.8880i	−0.829448	−	0.399441i	−0.0295401	−	0.999564i	$-0.509404\pi$
$743$	−22.6091	−	10.8880i	−0.829448	−	0.399441i	−0.799908	+	0.600122i	$0.795119\pi$
$744$	6.02935	+	7.56056i	0.221047	+	0.277184i
$745$	−5.28353	+	2.54441i	−0.193574	+	0.0932201i
$746$	1.01513	−	1.27294i	0.0371667	−	0.0466056i
$747$	−8.16637	+	35.7792i	−0.298792	+	1.30909i
$748$	−6.32232	+	7.92793i	−0.231167	+	0.289874i
$749$	17.7103	−	12.2713i	0.647119	−	0.448384i
$750$	1.86498	+	2.33861i	0.0680995	+	0.0853941i
$751$	28.9487	−	13.9410i	1.05635	−	0.508713i	0.176669	−	0.984270i	$-0.443468\pi$
$751$	28.9487	−	13.9410i	1.05635	−	0.508713i	0.879685	+	0.475557i	$0.157753\pi$
$752$	3.66526	−	16.0586i	0.133658	−	0.585596i
$753$	54.1654			1.97390
$754$	0.416188			0.0151567
$755$	9.34168	−	40.9286i	0.339979	−	1.48954i
$756$	16.5415	+	41.2301i	0.601609	+	1.49952i
$757$	−6.16933	−	27.0296i	−0.224228	−	0.982408i	−0.954256	−	0.298990i	$-0.903350\pi$
$757$	−6.16933	−	27.0296i	−0.224228	−	0.982408i	0.730028	−	0.683417i	$-0.239507\pi$
$758$	−0.0542233	−	0.237568i	−0.00196948	−	0.00862885i
$759$	−10.5296	−	13.2036i	−0.382199	−	0.479262i
$760$	−2.00376	−	2.51263i	−0.0726838	−	0.0911427i
$761$	1.37882	+	6.04102i	0.0499823	+	0.218987i	0.993751	−	0.111620i	$-0.0356038\pi$
$761$	1.37882	+	6.04102i	0.0499823	+	0.218987i	−0.943769	+	0.330607i	$0.892747\pi$
$762$	0.258876	+	1.13421i	0.00937810	+	0.0410881i
$763$	29.2043	+	26.6906i	1.05727	+	0.966266i
$764$	−1.27435	+	5.58331i	−0.0461045	+	0.201997i
$765$	−92.1554			−3.33189
$766$	3.17546			0.114734
$767$	−3.08546	+	13.5183i	−0.111410	+	0.488118i
$768$	−41.1777	+	19.8301i	−1.48587	+	0.715558i
$769$	5.06997	+	6.35754i	0.182828	+	0.229259i	0.864796	−	0.502123i	$-0.167447\pi$
$769$	5.06997	+	6.35754i	0.182828	+	0.229259i	−0.681969	+	0.731381i	$0.738876\pi$
$770$	0.950429	+	0.285337i	0.0342511	+	0.0102828i
$771$	−4.81363	+	6.03610i	−0.173359	+	0.217385i
$772$	7.20824	−	31.5814i	0.259430	−	1.13664i
$773$	3.76798	−	4.72490i	0.135525	−	0.169943i	−0.709438	−	0.704768i	$-0.751051\pi$
$773$	3.76798	−	4.72490i	0.135525	−	0.169943i	0.844963	+	0.534825i	$0.179623\pi$
$774$	5.70236	−	2.74611i	0.204967	−	0.0987069i
$775$	−46.6472	−	58.4937i	−1.67562	−	2.10116i
$776$	4.74373	+	2.28446i	0.170290	+	0.0820073i
$777$	−43.7521	−	39.9862i	−1.56960	−	1.43450i
$778$	−1.11024	+	0.534663i	−0.0398040	+	0.0191686i
$779$	24.7979	+	11.9420i	0.888475	+	0.427867i
$780$	−4.77539	−	20.9223i	−0.170986	−	0.749140i
$781$	−12.1380	−	5.84538i	−0.434334	−	0.209164i
$782$	−1.17079	+	1.46812i	−0.0418672	+	0.0524998i
$783$	−39.5927			−1.41493
$784$	26.3154	−	8.55397i	0.939835	−	0.305499i
$785$	25.0111			0.892685
$786$	1.50615	−	1.88865i	0.0537224	−	0.0673658i
$787$	−25.6191	−	12.3375i	−0.913223	−	0.439785i	−0.0825762	−	0.996585i	$-0.526315\pi$
$787$	−25.6191	−	12.3375i	−0.913223	−	0.439785i	−0.830647	+	0.556800i	$0.812029\pi$
$788$	−2.67214	−	11.7074i	−0.0951911	−	0.417059i
$789$	−40.5912	−	19.5477i	−1.44508	−	0.695916i
$790$	0.899642	−	0.433245i	0.0320078	−	0.0154142i
$791$	23.1192	−	16.0191i	0.822025	−	0.569575i
$792$	−2.17224	−	1.04610i	−0.0771873	−	0.0371715i
$793$	−1.02259	−	1.28229i	−0.0363134	−	0.0455355i
$794$	−0.188892	+	0.0909654i	−0.00670351	+	0.00322824i
$795$	26.7289	−	33.5170i	0.947978	−	1.18873i
$796$	−2.52587	+	11.0666i	−0.0895273	+	0.392245i
$797$	29.9363	−	37.5389i	1.06040	−	1.32970i	0.118813	−	0.992917i	$-0.462091\pi$
$797$	29.9363	−	37.5389i	1.06040	−	1.32970i	0.941584	−	0.336779i	$-0.109337\pi$
$798$	−0.650470	−	1.62131i	−0.0230264	−	0.0573938i
$799$	11.3209	+	14.1960i	0.400505	+	0.502218i
$800$	−7.75081	+	3.73260i	−0.274033	+	0.131967i
$801$	10.0935	−	44.2224i	0.356635	−	1.56252i
$802$	0.334376			0.0118072
$803$	1.03165			0.0364061
$804$	4.87338	−	21.3517i	0.171871	−	0.753015i
$805$	−44.6672	−	13.4100i	−1.57431	−	0.472639i
$806$	−0.181338	−	0.794493i	−0.00638735	−	0.0279848i
$807$	5.28930	+	23.1739i	0.186192	+	0.815761i
$808$	−2.59949	−	3.25966i	−0.0914497	−	0.114674i
$809$	−27.4557	−	34.4284i	−0.965291	−	1.21044i	−0.977591	−	0.210513i	$-0.932487\pi$
$809$	−27.4557	−	34.4284i	−0.965291	−	1.21044i	0.0122996	−	0.999924i	$-0.496085\pi$
$810$	−0.539219	−	2.36247i	−0.0189462	−	0.0830089i
$811$	0.203690	+	0.892423i	0.00715252	+	0.0313372i	0.978378	−	0.206824i	$-0.0663126\pi$
$811$	0.203690	+	0.892423i	0.00715252	+	0.0313372i	−0.971226	+	0.238161i	$0.923455\pi$
$812$	−1.66400	+	24.7031i	−0.0583949	+	0.866908i
$813$	−0.732661	+	3.21000i	−0.0256955	+	0.112579i
$814$	0.779997			0.0273389
$815$	13.1709			0.461358
$816$	11.3933	−	49.9175i	0.398847	−	1.74746i
$817$	27.6521	−	13.3166i	0.967426	−	0.465888i
$818$	1.60423	+	2.01164i	0.0560905	+	0.0703352i
$819$	1.03765	−	15.4045i	0.0362583	−	0.538276i
$820$	49.4165	−	61.9664i	1.72570	−	2.16396i
$821$	3.22785	−	14.1422i	0.112653	−	0.493565i	−0.886851	−	0.462056i	$-0.847112\pi$
$821$	3.22785	−	14.1422i	0.112653	−	0.493565i	0.999503	−	0.0315083i	$-0.0100311\pi$
$822$	−0.783245	+	0.982158i	−0.0273188	+	0.0342567i
$823$	14.7845	−	7.11982i	0.515354	−	0.248181i	−0.158083	−	0.987426i	$-0.550532\pi$
$823$	14.7845	−	7.11982i	0.515354	−	0.248181i	0.673437	+	0.739245i	$0.264817\pi$
$824$	1.16213	+	1.45726i	0.0404846	+	0.0507661i
$825$	25.4458	+	12.2540i	0.885909	+	0.426631i
$826$	3.11305	+	0.934598i	0.108317	+	0.0325188i
$827$	−12.8929	+	6.20889i	−0.448330	+	0.215904i	−0.644405	−	0.764685i	$-0.722895\pi$
$827$	−12.8929	+	6.20889i	−0.448330	+	0.215904i	0.196075	+	0.980589i	$0.437180\pi$
$828$	50.9440	+	24.5333i	1.77043	+	0.852593i
$829$	2.91782	+	12.7838i	0.101340	+	0.444000i	0.999986	+	0.00532466i	$0.00169490\pi$
$829$	2.91782	+	12.7838i	0.101340	+	0.444000i	−0.898646	+	0.438675i	$0.855448\pi$
$830$	−1.81934	−	0.876146i	−0.0631501	−	0.0304115i
$831$	−18.0168	+	22.5923i	−0.624995	+	0.783718i
$832$	7.81222			0.270840
$833$	−10.7144	+	28.5590i	−0.371231	+	0.989512i
$834$	−4.26945			−0.147839
$835$	−17.2582	+	21.6410i	−0.597243	+	0.748919i
$836$	−5.25652	−	2.53141i	−0.181801	−	0.0875505i
$837$	17.2510	+	75.5814i	0.596281	+	2.61248i
$838$	−0.945568	−	0.455362i	−0.0326641	−	0.0157302i
$839$	−15.8866	+	7.65058i	−0.548466	+	0.264127i	−0.687530	−	0.726156i	$-0.741305\pi$
$839$	−15.8866	+	7.65058i	−0.548466	+	0.264127i	0.139064	+	0.990283i	$0.455591\pi$
$840$	−9.95667	+	1.57761i	−0.343538	+	0.0544327i
$841$	6.24721	+	3.00850i	0.215421	+	0.103741i
$842$	0.699370	+	0.876982i	0.0241019	+	0.0302228i
$843$	−33.8122	+	16.2831i	−1.16455	+	0.560819i
$844$	1.97707	−	2.47917i	0.0680535	−	0.0853364i
$845$	−0.806436	+	3.53323i	−0.0277422	+	0.121547i
$846$	−1.34323	+	1.68435i	−0.0461811	+	0.0579092i
$847$	−25.1791	+	3.98956i	−0.865163	+	0.137083i
$848$	9.80820	+	12.2991i	0.336815	+	0.422352i
$849$	15.2240	−	7.33149i	0.522486	−	0.251616i
$850$	0.698786	−	3.06158i	0.0239682	−	0.105011i
$851$	−36.6575			−1.25660
$852$	68.2958			2.33977
$853$	−8.45932	+	37.0627i	−0.289642	+	1.26900i	0.595377	+	0.803447i	$0.297003\pi$
$853$	−8.45932	+	37.0627i	−0.289642	+	1.26900i	−0.885018	+	0.465556i	$0.845854\pi$
$854$	−0.316013	+	0.218963i	−0.0108137	+	0.00749275i
$855$	−11.7987	−	51.6934i	−0.403506	−	1.76788i
$856$	−0.640954	−	2.80820i	−0.0219074	−	0.0959824i
$857$	23.3093	+	29.2289i	0.796229	+	0.998439i	0.999812	+	0.0193818i	$0.00616979\pi$
$857$	23.3093	+	29.2289i	0.796229	+	0.998439i	−0.203583	+	0.979058i	$0.565259\pi$
$858$	0.191804	+	0.240514i	0.00654807	+	0.00821102i
$859$	−11.2820	−	49.4297i	−0.384937	−	1.68652i	−0.681752	−	0.731584i	$-0.738782\pi$
$859$	−11.2820	−	49.4297i	−0.384937	−	1.68652i	0.296815	−	0.954935i	$-0.404076\pi$
$860$	−19.6666	−	86.1649i	−0.670624	−	2.93820i
$861$	70.9646	−	49.1709i	2.41847	−	1.67574i
$862$	0.136874	−	0.599682i	0.00466193	−	0.0204253i
$863$	−42.9942			−1.46354			−0.731770	−	0.681552i	$-0.761305\pi$
$863$	−42.9942			−1.46354			−0.731770	+	0.681552i	$0.761305\pi$
$864$	8.91423			0.303268
$865$	−11.7599	+	51.5233i	−0.399847	+	1.75184i
$866$	−1.73124	+	0.833720i	−0.0588299	+	0.0283310i
$867$	3.68456	+	4.62029i	0.125134	+	0.156913i
$868$	47.8825	−	7.58687i	1.62524	−	0.257515i
$869$	2.26489	−	2.84008i	0.0768312	−	0.0963432i
$870$	0.997646	−	4.37097i	0.0338234	−	0.148190i
$871$	−2.30595	+	2.89157i	−0.0781342	+	0.0979771i
$872$	4.76531	−	2.29485i	0.161374	−	0.0777135i
$873$	54.1610	+	67.9157i	1.83307	+	2.29860i
$874$	−0.973418	−	0.468774i	−0.0329264	−	0.0158565i
$875$	29.6802	−	4.70275i	1.00337	−	0.158982i
$876$	−4.71190	+	2.26913i	−0.159200	+	0.0766669i
$877$	−30.8912	−	14.8764i	−1.04312	−	0.502341i	−0.167769	−	0.985826i	$-0.553656\pi$
$877$	−30.8912	−	14.8764i	−1.04312	−	0.502341i	−0.875352	+	0.483485i	$0.839371\pi$
$878$	−0.579008	−	2.53680i	−0.0195406	−	0.0856128i
$879$	−13.6278	−	6.56279i	−0.459654	−	0.221358i
$880$	−10.4336	+	13.0833i	−0.351717	+	0.441040i
$881$	−44.6488			−1.50426			−0.752128	−	0.659017i	$-0.770972\pi$
$881$	−44.6488			−1.50426			−0.752128	+	0.659017i	$0.770972\pi$
$882$	−3.58645	−	0.485369i	−0.120762	−	0.0163432i
$883$	6.22436			0.209466			0.104733	−	0.994500i	$-0.466601\pi$
$883$	6.22436			0.209466			0.104733	+	0.994500i	$0.466601\pi$
$884$	−5.41243	+	6.78697i	−0.182040	+	0.228271i
$885$	134.578	+	64.8095i	4.52380	+	2.17855i
$886$	0.696451	+	3.05135i	0.0233977	+	0.102512i
$887$	−35.3717	−	17.0341i	−1.18766	−	0.571949i	−0.267529	−	0.963550i	$-0.586207\pi$
$887$	−35.3717	−	17.0341i	−1.18766	−	0.571949i	−0.920135	+	0.391601i	$0.871921\pi$
$888$	−7.13908	+	3.43800i	−0.239572	+	0.115372i
$889$	11.1941	+	3.36067i	0.375436	+	0.112713i
$890$	2.24866	+	1.08290i	0.0753753	+	0.0362989i
$891$	−5.49644	−	6.89232i	−0.184138	−	0.230902i
$892$	29.5208	−	14.2165i	0.988430	−	0.476003i
$893$	−6.51363	+	8.16784i	−0.217970	+	0.273326i
$894$	−0.0948266	+	0.415462i	−0.00317147	+	0.0138951i
$895$	2.84516	−	3.56771i	0.0951031	−	0.119255i
$896$	0.499198	−	7.41090i	0.0166770	−	0.247581i
$897$	−9.01418	−	11.3034i	−0.300975	−	0.377410i
$898$	−1.81935	+	0.876152i	−0.0607124	+	0.0292376i
$899$	−9.61445	+	42.1236i	−0.320660	+	1.40490i
$900$	−94.5603			−3.15201
$901$	−17.3411			−0.577717
$902$	−0.252816	+	1.10766i	−0.00841784	+	0.0368810i
$903$	6.47025	−	96.0548i	0.215316	−	3.19650i
$904$	−0.836709	−	3.66586i	−0.0278285	−	0.121925i
$905$	19.1333	+	83.8287i	0.636014	+	2.78656i
$906$	−1.90208	−	2.38513i	−0.0631923	−	0.0792406i
$907$	35.1862	+	44.1221i	1.16834	+	1.46505i	0.857422	+	0.514614i	$0.172065\pi$
$907$	35.1862	+	44.1221i	1.16834	+	1.46505i	0.310917	+	0.950437i	$0.399364\pi$
$908$	1.52702	+	6.69032i	0.0506760	+	0.222026i
$909$	−15.3065	−	67.0622i	−0.507685	−	2.22431i
$910$	0.813646	+	0.244272i	0.0269721	+	0.00809754i
$911$	4.40608	−	19.3043i	0.145980	−	0.639579i	−0.847998	−	0.529999i	$-0.822192\pi$
$911$	4.40608	−	19.3043i	0.145980	−	0.639579i	0.993978	−	0.109580i	$-0.0349506\pi$
$912$	29.4592			0.975493
$913$	−7.34617			−0.243123
$914$	−0.764744	+	3.35056i	−0.0252955	+	0.110827i
$915$	−15.9184	+	7.66589i	−0.526246	+	0.253427i
$916$	25.2423	+	31.6528i	0.834028	+	1.04584i
$917$	−9.03640	−	22.5234i	−0.298408	−	0.743788i
$918$	−2.02885	+	2.54409i	−0.0669620	+	0.0839676i
$919$	10.1543	−	44.4888i	0.334959	−	1.46755i	−0.474438	−	0.880289i	$-0.657349\pi$
$919$	10.1543	−	44.4888i	0.334959	−	1.46755i	0.809397	−	0.587262i	$-0.199794\pi$
$920$	−3.88725	+	4.87446i	−0.128159	+	0.160706i
$921$	−34.3068	+	16.5213i	−1.13045	+	0.544394i
$922$	−1.51247	−	1.89658i	−0.0498106	−	0.0624606i
$923$	−10.3912	−	5.00413i	−0.342030	−	0.164713i
$924$	−15.0427	+	10.4230i	−0.494869	+	0.342891i
$925$	55.2329	−	26.5987i	1.81605	−	0.874561i
$926$	0.394535	+	0.189998i	0.0129652	+	0.00624372i
$927$	6.84294	+	29.9809i	0.224752	+	0.984701i
$928$	4.47615	+	2.15560i	0.146937	+	0.0707610i
$929$	−6.25550	+	7.84414i	−0.205236	+	0.257358i	−0.873787	−	0.486308i	$-0.838343\pi$
$929$	−6.25550	+	7.84414i	−0.205236	+	0.257358i	0.668551	+	0.743666i	$0.266915\pi$
$930$	−8.77876			−0.287867
$931$	−17.3916	−	2.35367i	−0.569986	−	0.0771385i
$932$	7.57430			0.248104
$933$	−39.3021	+	49.2833i	−1.28669	+	1.61346i
$934$	−1.70834	−	0.822695i	−0.0558987	−	0.0269194i
$935$	−4.10482	−	17.9844i	−0.134242	−	0.588153i
$936$	−1.85962	−	0.895547i	−0.0607837	−	0.0292719i
$937$	40.8626	−	19.6784i	1.33492	−	0.642865i	0.376022	−	0.926611i	$-0.377292\pi$
$937$	40.8626	−	19.6784i	1.33492	−	0.642865i	0.958899	+	0.283746i	$0.0915773\pi$
$938$	0.639952	+	0.584870i	0.0208952	+	0.0190967i
$939$	−58.1461	−	28.0017i	−1.89753	−	0.913801i
$940$	18.7569	+	23.5205i	0.611784	+	0.767153i
$941$	24.8084	−	11.9471i	0.808730	−	0.389464i	0.0166352	−	0.999862i	$-0.494705\pi$
$941$	24.8084	−	11.9471i	0.808730	−	0.389464i	0.792095	+	0.610398i	$0.208990\pi$
$942$	1.13320	−	1.42099i	0.0369217	−	0.0462984i
$943$	11.8816	−	52.0565i	0.386917	−	1.69519i
$944$	−34.1745	+	42.8534i	−1.11228	+	1.39476i
$945$	−77.4035	−	23.2380i	−2.51794	−	0.755933i
$946$	0.789909	+	0.990515i	0.0256822	+	0.0322044i
$947$	−1.64382	+	0.791622i	−0.0534170	+	0.0257243i	−0.460402	−	0.887711i	$-0.652295\pi$
$947$	−1.64382	+	0.791622i	−0.0534170	+	0.0257243i	0.406985	+	0.913435i	$0.366580\pi$
$948$	−4.09773	+	17.9533i	−0.133088	+	0.583097i
$949$	0.883177			0.0286691
$950$	1.80682			0.0586210
$951$	−11.0316	+	48.3328i	−0.357726	+	1.56730i
$952$	3.01006	+	2.75097i	0.0975565	+	0.0891596i
$953$	−8.01336	−	35.1088i	−0.259578	−	1.13729i	−0.921704	−	0.387894i	$-0.873203\pi$
$953$	−8.01336	−	35.1088i	−0.259578	−	1.13729i	0.662126	−	0.749393i	$-0.269655\pi$
$954$	−0.457842	−	2.00594i	−0.0148232	−	0.0649447i
$955$	−6.49569	−	8.14534i	−0.210196	−	0.263577i
$956$	−0.0148877	−	0.0186685i	−0.000481502	−	0.000603784i
$957$	−3.62940	−	15.9014i	−0.117322	−	0.514020i
$958$	0.161883	+	0.709255i	0.00523020	+	0.0229150i
$959$	4.69922	+	11.7129i	0.151746	+	0.378230i
$960$	18.7267	−	82.0470i	0.604401	−	2.64805i
$961$	53.6021			1.72910
$962$	0.667743			0.0215289
$963$	10.5748	−	46.3314i	0.340769	−	1.49301i
$964$	24.7955	−	11.9409i	0.798610	−	0.384590i
$965$	36.7421	+	46.0732i	1.18277	+	1.48315i
$966$	−2.78566	+	1.93016i	−0.0896270	+	0.0621019i
$967$	−8.50020	+	10.6589i	−0.273348	+	0.342768i	−0.899490	−	0.436942i	$-0.856062\pi$
$967$	−8.50020	+	10.6589i	−0.273348	+	0.342768i	0.626142	+	0.779709i	$0.284633\pi$
$968$	−0.758368	+	3.32263i	−0.0243749	+	0.106793i
$969$	−20.2474	+	25.3894i	−0.650440	+	0.815626i
$970$	−4.30638	+	2.07384i	−0.138269	+	0.0665870i
$971$	−25.5478	−	32.0359i	−0.819868	−	1.02808i	−0.999020	−	0.0442605i	$-0.985907\pi$
$971$	−25.5478	−	32.0359i	−0.819868	−	1.02808i	0.179152	−	0.983821i	$-0.442665\pi$
$972$	−5.12026	−	2.46579i	−0.164232	−	0.0790902i
$973$	−21.1653	+	37.3063i	−0.678529	+	1.19599i
$974$	1.08785	−	0.523880i	0.0348569	−	0.0167862i
$975$	21.7837	+	10.4905i	0.697637	+	0.335964i
$976$	−1.44267	−	6.32076i	−0.0461788	−	0.202323i
$977$	36.2541	+	17.4591i	1.15987	+	0.558565i	0.911985	−	0.410224i	$-0.134549\pi$
$977$	36.2541	+	17.4591i	1.15987	+	0.558565i	0.247888	+	0.968789i	$0.420264\pi$
$978$	0.596748	−	0.748298i	0.0190819	−	0.0239279i
$979$	9.07972			0.290189
$980$	−17.7520	+	47.3177i	−0.567067	+	1.51151i
$981$	87.2626			2.78608
$982$	−0.161598	+	0.202638i	−0.00515681	+	0.00646643i
$983$	27.9598	+	13.4647i	0.891780	+	0.429458i	0.822913	−	0.568167i	$-0.192347\pi$
$983$	27.9598	+	13.4647i	0.891780	+	0.429458i	0.0688667	+	0.997626i	$0.478062\pi$
$984$	−2.56829	−	11.2524i	−0.0818740	−	0.358713i
$985$	19.6823	+	9.47848i	0.627129	+	0.302009i
$986$	−1.63396	+	0.786872i	−0.0520358	+	0.0250591i
$987$	12.2020	+	30.4136i	0.388392	+	0.968076i
$988$	−4.50002	−	2.16709i	−0.143165	−	0.0689445i
$989$	−37.1233	−	46.5511i	−1.18045	−	1.48024i
$990$	1.97197	−	0.949652i	0.0626734	−	0.0301819i
$991$	9.13762	−	11.4582i	0.290266	−	0.363982i	−0.615222	−	0.788354i	$-0.710934\pi$
$991$	9.13762	−	11.4582i	0.290266	−	0.363982i	0.905488	+	0.424372i	$0.139505\pi$
$992$	2.16468	−	9.48407i	0.0687286	−	0.301120i
$993$	41.1464	−	51.5959i	1.30574	−	1.63735i
$994$	−1.33407	+	2.35145i	−0.0423141	+	0.0745836i
$995$	−12.8750	−	16.1447i	−0.408165	−	0.511823i
$996$	33.5525	−	16.1581i	1.06315	−	0.511987i
$997$	−1.68712	+	7.39174i	−0.0534315	+	0.234099i	−0.994592	−	0.103862i	$-0.966880\pi$
$997$	−1.68712	+	7.39174i	−0.0534315	+	0.234099i	0.941160	+	0.337961i	$0.109737\pi$
$998$	1.30853			0.0414207
$999$	−63.5235			−2.00979

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	637.2.w.a.92.14	✓	162
49.8	even	7	inner	637.2.w.a.547.14	yes	162

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
637.2.w.a.92.14	✓	162	1.1	even	1	trivial
637.2.w.a.547.14	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)

\(f(q)\)	\(=\)	\(q+(0.0552404 - 0.0692692i) q^{2} +(-2.67810 - 1.28970i) q^{3} +(0.443295 + 1.94220i) q^{4} +(-3.26519 - 1.57243i) q^{5} +(-0.237276 + 0.114266i) q^{6} +(-0.177815 + 2.63977i) q^{7} +(0.318672 + 0.153464i) q^{8} +(3.63840 + 4.56241i) q^{9} +O(q^{10})\)	\(q+(0.0552404 - 0.0692692i) q^{2} +(-2.67810 - 1.28970i) q^{3} +(0.443295 + 1.94220i) q^{4} +(-3.26519 - 1.57243i) q^{5} +(-0.237276 + 0.114266i) q^{6} +(-0.177815 + 2.63977i) q^{7} +(0.318672 + 0.153464i) q^{8} +(3.63840 + 4.56241i) q^{9} +(-0.289292 + 0.139316i) q^{10} +(-0.728305 + 0.913266i) q^{11} +(1.31768 - 5.77313i) q^{12} +(-0.623490 + 0.781831i) q^{13} +(0.173032 + 0.158139i) q^{14} +(6.71653 + 8.42226i) q^{15} +(-3.56150 + 1.71513i) q^{16} +(0.969643 - 4.24828i) q^{17} +0.517021 q^{18} +2.50716 q^{19} +(1.60654 - 7.03872i) q^{20} +(3.88073 - 6.84023i) q^{21} +(0.0230294 + 0.100898i) q^{22} +(-1.08231 - 4.74190i) q^{23} +(-0.655511 - 0.821985i) q^{24} +(5.07148 + 6.35944i) q^{25} +(0.0197151 + 0.0863773i) q^{26} +(-1.87553 - 8.21722i) q^{27} +(-5.20579 + 0.824844i) q^{28} +(1.04528 - 4.57968i) q^{29} +0.954427 q^{30} -9.19794 q^{31} +(-0.235344 + 1.03111i) q^{32} +(3.12831 - 1.50652i) q^{33} +(-0.240712 - 0.301843i) q^{34} +(4.73146 - 8.33975i) q^{35} +(-7.24824 + 9.08900i) q^{36} +(1.67708 - 7.34775i) q^{37} +(0.138497 - 0.173669i) q^{38} +(2.67810 - 1.28970i) q^{39} +(-0.799213 - 1.00218i) q^{40} +(9.89081 + 4.76316i) q^{41} +(-0.259445 - 0.646672i) q^{42} +(11.0293 - 5.31141i) q^{43} +(-2.09660 - 1.00967i) q^{44} +(-4.70599 - 20.6183i) q^{45} +(-0.388255 - 0.186974i) q^{46} +(-2.59801 + 3.25780i) q^{47} +11.7500 q^{48} +(-6.93676 - 0.938780i) q^{49} +0.720664 q^{50} +(-8.07582 + 10.1268i) q^{51} +(-1.79487 - 0.864362i) q^{52} +(-0.885539 - 3.87980i) q^{53} +(-0.672805 - 0.324006i) q^{54} +(3.81411 - 1.83678i) q^{55} +(-0.461775 + 0.813932i) q^{56} +(-6.71442 - 3.23350i) q^{57} +(-0.259489 - 0.325389i) q^{58} +(12.4928 - 6.01621i) q^{59} +(-13.3803 + 16.7784i) q^{60} +(-0.364960 + 1.59899i) q^{61} +(-0.508097 + 0.637134i) q^{62} +(-12.6907 + 8.79327i) q^{63} +(-4.87084 - 6.10784i) q^{64} +(3.26519 - 1.57243i) q^{65} +(0.0684539 - 0.299916i) q^{66} +3.69846 q^{67} +8.68086 q^{68} +(-3.21712 + 14.0951i) q^{69} +(-0.316320 - 0.788435i) q^{70} +(2.56641 + 11.2442i) q^{71} +(0.459289 + 2.01228i) q^{72} +(-0.550652 - 0.690496i) q^{73} +(-0.416331 - 0.522062i) q^{74} +(-5.38013 - 23.5719i) q^{75} +(1.11141 + 4.86942i) q^{76} +(-2.28131 - 2.08495i) q^{77} +(0.0586023 - 0.256753i) q^{78} -3.10981 q^{79} +14.3259 q^{80} +(-1.67934 + 7.35768i) q^{81} +(0.876312 - 0.422010i) q^{82} +(3.92109 + 4.91689i) q^{83} +(15.0054 + 4.50491i) q^{84} +(-9.84621 + 12.3468i) q^{85} +(0.241343 - 1.05739i) q^{86} +(-8.70580 + 10.9167i) q^{87} +(-0.372244 + 0.179263i) q^{88} +(-4.84638 - 6.07717i) q^{89} +(-1.68817 - 0.812981i) q^{90} +(-1.95299 - 1.78489i) q^{91} +(8.72996 - 4.20413i) q^{92} +(24.6330 + 11.8626i) q^{93} +(0.0821504 + 0.359924i) q^{94} +(-8.18637 - 3.94235i) q^{95} +(1.96010 - 2.45789i) q^{96} +14.8859 q^{97} +(-0.448218 + 0.428646i) q^{98} -6.81656 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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