LMFDB - Embedded newform 49.2.e.a.29.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [49,2,Mod(8,49)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(49, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([12]))

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

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

chi := DirichletCharacter("49.8");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 49 = 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	49.e (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:	$0.391266969904$
Analytic rank:	$0$
Dimension:	$6$
Coefficient field:	$\Q(\zeta_{14})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 $ x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
Coefficient ring:	$\Z[a_1, a_2]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			29.1
Root			$0.900969 - 0.433884i$ of defining polynomial
Character	$\chi$	$=$	49.29
Dual form			49.2.e.a.22.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.500000 - 0.240787i) q^{2} +(-0.500000 - 2.19064i) q^{3} +(-1.05496 - 1.32288i) q^{4} +(0.321552 + 1.40881i) q^{5} +(-0.277479 + 1.21572i) q^{6} +(2.57942 + 0.588735i) q^{7} +(0.455927 + 1.99755i) q^{8} +(-1.84601 + 0.888992i) q^{9} +O(q^{10})$	\(q+(-0.500000 - 0.240787i) q^{2} +(-0.500000 - 2.19064i) q^{3} +(-1.05496 - 1.32288i) q^{4} +(0.321552 + 1.40881i) q^{5} +(-0.277479 + 1.21572i) q^{6} +(2.57942 + 0.588735i) q^{7} +(0.455927 + 1.99755i) q^{8} +(-1.84601 + 0.888992i) q^{9} +(0.178448 - 0.781831i) q^{10} +(3.32640 + 1.60191i) q^{11} +(-2.37047 + 2.97247i) q^{12} +(-5.25182 - 2.52915i) q^{13} +(-1.14795 - 0.915458i) q^{14} +(2.92543 - 1.40881i) q^{15} +(-0.500000 + 2.19064i) q^{16} +(-1.81551 + 2.27658i) q^{17} +1.13706 q^{18} +1.93900 q^{19} +(1.52446 - 1.91161i) q^{20} -5.94495i q^{21} +(-1.27748 - 1.60191i) q^{22} +(0.815511 + 1.02262i) q^{23} +(4.14795 - 1.99755i) q^{24} +(2.62349 - 1.26341i) q^{25} +(2.01693 + 2.52915i) q^{26} +(-1.33244 - 1.67082i) q^{27} +(-1.94235 - 4.03334i) q^{28} +(-4.92543 + 6.17629i) q^{29} -1.80194 q^{30} -3.24698 q^{31} +(3.33244 - 4.17874i) q^{32} +(1.84601 - 8.08790i) q^{33} +(1.45593 - 0.701137i) q^{34} +3.82322i q^{35} +(3.12349 + 1.50419i) q^{36} +(-1.13706 + 1.42583i) q^{37} +(-0.969501 - 0.466887i) q^{38} +(-2.91454 + 12.7694i) q^{39} +(-2.66756 + 1.28463i) q^{40} +(1.69202 + 7.41323i) q^{41} +(-1.43147 + 2.97247i) q^{42} +(0.475541 - 2.08348i) q^{43} +(-1.39008 - 6.09035i) q^{44} +(-1.84601 - 2.31482i) q^{45} +(-0.161522 - 0.707674i) q^{46} +(-4.02446 - 1.93808i) q^{47} +5.04892 q^{48} +(6.30678 + 3.03719i) q^{49} -1.61596 q^{50} +(5.89493 + 2.83885i) q^{51} +(2.19471 + 9.61565i) q^{52} +(-8.85086 - 11.0986i) q^{53} +(0.263906 + 1.15625i) q^{54} +(-1.18718 + 5.20136i) q^{55} +5.42093i q^{56} +(-0.969501 - 4.24766i) q^{57} +(3.94989 - 1.90216i) q^{58} +(1.43416 - 6.28345i) q^{59} +(-4.94989 - 2.38374i) q^{60} +(-1.95593 + 2.45265i) q^{61} +(1.62349 + 0.781831i) q^{62} +(-5.28501 + 1.20627i) q^{63} +(1.37651 - 0.662892i) q^{64} +(1.87435 - 8.21208i) q^{65} +(-2.87047 + 3.59945i) q^{66} +1.04892 q^{67} +4.92692 q^{68} +(1.83244 - 2.29780i) q^{69} +(0.920583 - 1.91161i) q^{70} +(-3.79590 - 4.75990i) q^{71} +(-2.61745 - 3.28218i) q^{72} +(1.23341 - 0.593977i) q^{73} +(0.911854 - 0.439126i) q^{74} +(-4.07942 - 5.11543i) q^{75} +(-2.04556 - 2.56506i) q^{76} +(7.63706 + 6.09035i) q^{77} +(4.53199 - 5.68294i) q^{78} +13.0489 q^{79} -3.24698 q^{80} +(-6.82640 + 8.56003i) q^{81} +(0.939001 - 4.11403i) q^{82} +(4.33124 - 2.08582i) q^{83} +(-7.86443 + 6.27167i) q^{84} +(-3.79105 - 1.82567i) q^{85} +(-0.739447 + 0.927237i) q^{86} +(15.9928 + 7.70171i) q^{87} +(-1.68329 + 7.37499i) q^{88} +(8.48792 - 4.08757i) q^{89} +(0.365625 + 1.60191i) q^{90} +(-12.0576 - 9.61565i) q^{91} +(0.492467 - 2.15764i) q^{92} +(1.62349 + 7.11297i) q^{93} +(1.54556 + 1.93808i) q^{94} +(0.623490 + 2.73169i) q^{95} +(-10.8204 - 5.21081i) q^{96} -1.35690 q^{97} +(-2.42208 - 3.03719i) q^{98} -7.56465 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 6 q - 3 q^{2} - 3 q^{3} - 7 q^{4} + 6 q^{5} - 2 q^{6} + 7 q^{7} - q^{8} - 6 q^{9}+O(q^{10}) $ 6 * q - 3 * q^2 - 3 * q^3 - 7 * q^4 + 6 * q^5 - 2 * q^6 + 7 * q^7 - q^8 - 6 * q^9	\( 6 q - 3 q^{2} - 3 q^{3} - 7 q^{4} + 6 q^{5} - 2 q^{6} + 7 q^{7} - q^{8} - 6 q^{9} - 3 q^{10} + 2 q^{11} + 7 q^{14} + 4 q^{15} - 3 q^{16} + 4 q^{17} - 4 q^{18} - 8 q^{19} - 8 q^{22} - 10 q^{23} + 11 q^{24} + 11 q^{25} + 28 q^{26} - 9 q^{27} - 14 q^{28} - 16 q^{29} - 2 q^{30} - 10 q^{31} + 21 q^{32} + 6 q^{33} + 5 q^{34} + 14 q^{36} + 4 q^{37} + 4 q^{38} - 7 q^{39} - 15 q^{40} - 14 q^{42} + 12 q^{43} - 7 q^{44} - 6 q^{45} + 19 q^{46} - 15 q^{47} + 12 q^{48} + 7 q^{49} - 30 q^{50} + 12 q^{51} - 26 q^{53} + 8 q^{54} - 19 q^{55} + 4 q^{57} + q^{58} + 11 q^{59} - 7 q^{60} - 8 q^{61} + 5 q^{62} - 7 q^{63} + 13 q^{64} + 35 q^{65} - 3 q^{66} - 12 q^{67} - 28 q^{68} + 12 q^{69} + 14 q^{70} + 5 q^{71} + 8 q^{72} + 4 q^{73} - 2 q^{74} - 16 q^{75} + 28 q^{76} + 35 q^{77} - 7 q^{78} + 60 q^{79} - 10 q^{80} - 23 q^{81} - 14 q^{82} - 14 q^{83} - 14 q^{84} - 17 q^{85} - 20 q^{86} + 36 q^{87} + 16 q^{88} + 13 q^{89} + 10 q^{90} - 70 q^{91} + 28 q^{92} + 5 q^{93} - 31 q^{94} - q^{95} - 28 q^{96} + 21 q^{98} - 2 q^{99}+O(q^{100}) \) 6 * q - 3 * q^2 - 3 * q^3 - 7 * q^4 + 6 * q^5 - 2 * q^6 + 7 * q^7 - q^8 - 6 * q^9 - 3 * q^10 + 2 * q^11 + 7 * q^14 + 4 * q^15 - 3 * q^16 + 4 * q^17 - 4 * q^18 - 8 * q^19 - 8 * q^22 - 10 * q^23 + 11 * q^24 + 11 * q^25 + 28 * q^26 - 9 * q^27 - 14 * q^28 - 16 * q^29 - 2 * q^30 - 10 * q^31 + 21 * q^32 + 6 * q^33 + 5 * q^34 + 14 * q^36 + 4 * q^37 + 4 * q^38 - 7 * q^39 - 15 * q^40 - 14 * q^42 + 12 * q^43 - 7 * q^44 - 6 * q^45 + 19 * q^46 - 15 * q^47 + 12 * q^48 + 7 * q^49 - 30 * q^50 + 12 * q^51 - 26 * q^53 + 8 * q^54 - 19 * q^55 + 4 * q^57 + q^58 + 11 * q^59 - 7 * q^60 - 8 * q^61 + 5 * q^62 - 7 * q^63 + 13 * q^64 + 35 * q^65 - 3 * q^66 - 12 * q^67 - 28 * q^68 + 12 * q^69 + 14 * q^70 + 5 * q^71 + 8 * q^72 + 4 * q^73 - 2 * q^74 - 16 * q^75 + 28 * q^76 + 35 * q^77 - 7 * q^78 + 60 * q^79 - 10 * q^80 - 23 * q^81 - 14 * q^82 - 14 * q^83 - 14 * q^84 - 17 * q^85 - 20 * q^86 + 36 * q^87 + 16 * q^88 + 13 * q^89 + 10 * q^90 - 70 * q^91 + 28 * q^92 + 5 * q^93 - 31 * q^94 - q^95 - 28 * q^96 + 21 * q^98 - 2 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/49\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{3}{7}\right)$

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 $

$2$	−0.500000	−	0.240787i	−0.353553	−	0.170262i	0.248673	−	0.968587i	$-0.420005\pi$
$2$	−0.500000	−	0.240787i	−0.353553	−	0.170262i	−0.602227	+	0.798325i	$0.705720\pi$
$3$	−0.500000	−	2.19064i	−0.288675	−	1.26477i	−0.886345	−	0.463026i	$-0.846764\pi$
$3$	−0.500000	−	2.19064i	−0.288675	−	1.26477i	0.597670	−	0.801742i	$-0.296093\pi$
$4$	−1.05496	−	1.32288i	−0.527479	−	0.661438i
$5$	0.321552	+	1.40881i	0.143802	+	0.630040i	0.994532	+	0.104435i	$0.0333036\pi$
$5$	0.321552	+	1.40881i	0.143802	+	0.630040i	−0.850729	+	0.525604i	$0.823839\pi$
$6$	−0.277479	+	1.21572i	−0.113280	+	0.496314i
$7$	2.57942	+	0.588735i	0.974928	+	0.222521i
$7$	2.57942	+	0.588735i	0.974928	+	0.222521i
$8$	0.455927	+	1.99755i	0.161195	+	0.706239i
$9$	−1.84601	+	0.888992i	−0.615337	+	0.296331i
$10$	0.178448	−	0.781831i	0.0564302	−	0.247237i
$11$	3.32640	+	1.60191i	1.00295	+	0.482993i	0.861937	−	0.507015i	$-0.169251\pi$
$11$	3.32640	+	1.60191i	1.00295	+	0.482993i	0.141009	+	0.990008i	$0.454965\pi$
$12$	−2.37047	+	2.97247i	−0.684296	+	0.858080i
$13$	−5.25182	−	2.52915i	−1.45659	−	0.701459i	−0.472868	−	0.881133i	$-0.656781\pi$
$13$	−5.25182	−	2.52915i	−1.45659	−	0.701459i	−0.983726	+	0.179675i	$0.942495\pi$
$14$	−1.14795	−	0.915458i	−0.306802	−	0.244667i
$15$	2.92543	−	1.40881i	0.755342	−	0.363754i
$16$	−0.500000	+	2.19064i	−0.125000	+	0.547661i
$17$	−1.81551	+	2.27658i	−0.440326	+	0.552152i	−0.951629	−	0.307249i	$-0.900592\pi$
$17$	−1.81551	+	2.27658i	−0.440326	+	0.552152i	0.511303	+	0.859401i	$0.329163\pi$
$18$	1.13706			0.268008
$19$	1.93900			0.444837			0.222419	−	0.974951i	$-0.428605\pi$
$19$	1.93900			0.444837			0.222419	+	0.974951i	$0.428605\pi$
$20$	1.52446	−	1.91161i	0.340879	−	0.427449i
$21$		−	5.94495i		−	1.29729i
$22$	−1.27748	−	1.60191i	−0.272359	−	0.341528i
$23$	0.815511	+	1.02262i	0.170046	+	0.213231i	0.859551	−	0.511050i	$-0.170743\pi$
$23$	0.815511	+	1.02262i	0.170046	+	0.213231i	−0.689505	+	0.724281i	$0.742172\pi$
$24$	4.14795	−	1.99755i	0.846696	−	0.407748i
$25$	2.62349	−	1.26341i	0.524698	−	0.252681i
$26$	2.01693	+	2.52915i	0.395552	+	0.496006i
$27$	−1.33244	−	1.67082i	−0.256428	−	0.321550i
$28$	−1.94235	−	4.03334i	−0.367070	−	0.762229i
$29$	−4.92543	+	6.17629i	−0.914629	+	1.14691i	0.0741089	+	0.997250i	$0.476389\pi$
$29$	−4.92543	+	6.17629i	−0.914629	+	1.14691i	−0.988738	+	0.149658i	$0.952183\pi$
$30$	−1.80194			−0.328987
$31$	−3.24698			−0.583175			−0.291587	−	0.956544i	$-0.594183\pi$
$31$	−3.24698			−0.583175			−0.291587	+	0.956544i	$0.594183\pi$
$32$	3.33244	−	4.17874i	0.589097	−	0.738705i
$33$	1.84601	−	8.08790i	0.321349	−	1.40792i
$34$	1.45593	−	0.701137i	0.249689	−	0.120244i
$35$			3.82322i			0.646242i
$36$	3.12349	+	1.50419i	0.520582	+	0.250699i
$37$	−1.13706	+	1.42583i	−0.186932	+	0.234405i	−0.866463	−	0.499242i	$-0.833612\pi$
$37$	−1.13706	+	1.42583i	−0.186932	+	0.234405i	0.679531	+	0.733647i	$0.262183\pi$
$38$	−0.969501	−	0.466887i	−0.157274	−	0.0757390i
$39$	−2.91454	+	12.7694i	−0.466700	+	2.04475i
$40$	−2.66756	+	1.28463i	−0.421779	+	0.203118i
$41$	1.69202	+	7.41323i	0.264249	+	1.15775i	0.916591	+	0.399827i	$0.130930\pi$
$41$	1.69202	+	7.41323i	0.264249	+	1.15775i	−0.652341	+	0.757925i	$0.726213\pi$
$42$	−1.43147	+	2.97247i	−0.220880	+	0.458663i
$43$	0.475541	−	2.08348i	0.0725194	−	0.317728i	−0.925638	−	0.378411i	$-0.876471\pi$
$43$	0.475541	−	2.08348i	0.0725194	−	0.317728i	0.998157	+	0.0606827i	$0.0193278\pi$
$44$	−1.39008	−	6.09035i	−0.209563	−	0.918156i
$45$	−1.84601	−	2.31482i	−0.275187	−	0.345074i
$46$	−0.161522	−	0.707674i	−0.0238151	−	0.104341i
$47$	−4.02446	−	1.93808i	−0.587028	−	0.282698i	0.116700	−	0.993167i	$-0.462768\pi$
$47$	−4.02446	−	1.93808i	−0.587028	−	0.282698i	−0.703728	+	0.710470i	$0.748483\pi$
$48$	5.04892			0.728748
$49$	6.30678	+	3.03719i	0.900969	+	0.433884i
$50$	−1.61596			−0.228531
$51$	5.89493	+	2.83885i	0.825455	+	0.397518i
$52$	2.19471	+	9.61565i	0.304351	+	1.33345i
$53$	−8.85086	−	11.0986i	−1.21576	−	1.52451i	−0.781734	−	0.623612i	$-0.785665\pi$
$53$	−8.85086	−	11.0986i	−1.21576	−	1.52451i	−0.434024	−	0.900901i	$-0.642907\pi$
$54$	0.263906	+	1.15625i	0.0359130	+	0.157345i
$55$	−1.18718	+	5.20136i	−0.160079	+	0.701352i
$56$			5.42093i			0.724402i
$57$	−0.969501	−	4.24766i	−0.128413	−	0.562616i
$58$	3.94989	−	1.90216i	0.518645	−	0.249766i
$59$	1.43416	−	6.28345i	0.186711	−	0.818036i	−0.791624	−	0.611009i	$-0.790764\pi$
$59$	1.43416	−	6.28345i	0.186711	−	0.818036i	0.978335	−	0.207027i	$-0.0663788\pi$
$60$	−4.94989	−	2.38374i	−0.639028	−	0.307739i
$61$	−1.95593	+	2.45265i	−0.250431	+	0.314030i	−0.891118	−	0.453772i	$-0.850078\pi$
$61$	−1.95593	+	2.45265i	−0.250431	+	0.314030i	0.640687	+	0.767802i	$0.278650\pi$
$62$	1.62349	+	0.781831i	0.206183	+	0.0992927i
$63$	−5.28501	+	1.20627i	−0.665849	+	0.151976i
$64$	1.37651	−	0.662892i	0.172064	−	0.0828615i
$65$	1.87435	−	8.21208i	0.232485	−	1.01858i
$66$	−2.87047	+	3.59945i	−0.353330	+	0.443062i
$67$	1.04892			0.128146			0.0640728	−	0.997945i	$-0.479591\pi$
$67$	1.04892			0.128146			0.0640728	+	0.997945i	$0.479591\pi$
$68$	4.92692			0.597477
$69$	1.83244	−	2.29780i	0.220600	−	0.276623i
$70$	0.920583	−	1.91161i	0.110031	−	0.228481i
$71$	−3.79590	−	4.75990i	−0.450490	−	0.564897i	0.503784	−	0.863830i	$-0.331941\pi$
$71$	−3.79590	−	4.75990i	−0.450490	−	0.564897i	−0.954274	+	0.298933i	$0.903369\pi$
$72$	−2.61745	−	3.28218i	−0.308469	−	0.386808i
$73$	1.23341	−	0.593977i	0.144359	−	0.0695198i	−0.360310	−	0.932833i	$-0.617329\pi$
$73$	1.23341	−	0.593977i	0.144359	−	0.0695198i	0.504669	+	0.863313i	$0.331615\pi$
$74$	0.911854	−	0.439126i	0.106001	−	0.0510473i
$75$	−4.07942	−	5.11543i	−0.471050	−	0.590679i
$76$	−2.04556	−	2.56506i	−0.234642	−	0.294232i
$77$	7.63706	+	6.09035i	0.870324	+	0.694060i
$78$	4.53199	−	5.68294i	0.513147	−	0.643466i
$79$	13.0489			1.46812			0.734059	−	0.679086i	$-0.237624\pi$
$79$	13.0489			1.46812			0.734059	+	0.679086i	$0.237624\pi$
$80$	−3.24698			−0.363023
$81$	−6.82640	+	8.56003i	−0.758488	+	0.951114i
$82$	0.939001	−	4.11403i	0.103695	−	0.454319i
$83$	4.33124	−	2.08582i	0.475415	−	0.228948i	−0.180802	−	0.983519i	$-0.557869\pi$
$83$	4.33124	−	2.08582i	0.475415	−	0.228948i	0.656218	+	0.754571i	$0.272155\pi$
$84$	−7.86443	+	6.27167i	−0.858080	+	0.684296i
$85$	−3.79105	−	1.82567i	−0.411197	−	0.198022i
$86$	−0.739447	+	0.927237i	−0.0797366	+	0.0999865i
$87$	15.9928	+	7.70171i	1.71460	+	0.825710i
$88$	−1.68329	+	7.37499i	−0.179440	+	0.786176i
$89$	8.48792	−	4.08757i	0.899718	−	0.433281i	0.0739306	−	0.997263i	$-0.476446\pi$
$89$	8.48792	−	4.08757i	0.899718	−	0.433281i	0.825787	+	0.563982i	$0.190731\pi$
$90$	0.365625	+	1.60191i	0.0385403	+	0.168856i
$91$	−12.0576	−	9.61565i	−1.26398	−	1.00799i
$92$	0.492467	−	2.15764i	0.0513433	−	0.224950i
$93$	1.62349	+	7.11297i	0.168348	+	0.737581i
$94$	1.54556	+	1.93808i	0.159413	+	0.199897i
$95$	0.623490	+	2.73169i	0.0639687	+	0.280265i
$96$	−10.8204	−	5.21081i	−1.10435	−	0.531826i
$97$	−1.35690			−0.137772			−0.0688860	−	0.997625i	$-0.521944\pi$
$97$	−1.35690			−0.137772			−0.0688860	+	0.997625i	$0.521944\pi$
$98$	−2.42208	−	3.03719i	−0.244667	−	0.306802i
$99$	−7.56465			−0.760276
$100$	−4.43900	−	2.13771i	−0.443900	−	0.213771i
$101$	0.573376	+	2.51212i	0.0570530	+	0.249966i	0.995410	−	0.0957020i	$-0.0305096\pi$
$101$	0.573376	+	2.51212i	0.0570530	+	0.249966i	−0.938357	+	0.345668i	$0.887652\pi$
$102$	−2.26391	−	2.83885i	−0.224160	−	0.281088i
$103$	2.46466	+	10.7984i	0.242850	+	1.06399i	0.938409	+	0.345526i	$0.112299\pi$
$103$	2.46466	+	10.7984i	0.242850	+	1.06399i	−0.695559	+	0.718469i	$0.744843\pi$
$104$	2.65764	−	11.6439i	0.260603	−	1.14178i
$105$	8.37531	−	1.91161i	0.817347	−	0.186554i
$106$	1.75302	+	7.68048i	0.170268	+	0.745995i
$107$	−12.0320	+	5.79430i	−1.16318	+	0.560156i	−0.912966	−	0.408035i	$-0.866214\pi$
$107$	−12.0320	+	5.79430i	−1.16318	+	0.560156i	−0.250210	+	0.968192i	$0.580500\pi$
$108$	−0.804626	+	3.52530i	−0.0774252	+	0.339222i
$109$	−7.85570	−	3.78311i	−0.752440	−	0.362356i	0.0180259	−	0.999838i	$-0.494262\pi$
$109$	−7.85570	−	3.78311i	−0.752440	−	0.362356i	−0.770465	+	0.637482i	$0.779976\pi$
$110$	1.84601	−	2.31482i	0.176010	−	0.220710i
$111$	3.69202	+	1.77798i	0.350431	+	0.168759i
$112$	−2.57942	+	5.35621i	−0.243732	+	0.506115i
$113$	−12.4879	+	6.01386i	−1.17476	+	0.565737i	−0.916382	−	0.400306i	$-0.868904\pi$
$113$	−12.4879	+	6.01386i	−1.17476	+	0.565737i	−0.258383	+	0.966043i	$0.583190\pi$
$114$	−0.538032	+	2.35727i	−0.0503913	+	0.220779i
$115$	−1.17845	+	1.47773i	−0.109891	+	0.137799i
$116$	13.3666			1.24106
$117$	11.9433			1.10416
$118$	−2.23005	+	2.79640i	−0.205293	+	0.257429i
$119$	−6.02326	+	4.80339i	−0.552152	+	0.440326i
$120$	4.14795	+	5.20136i	0.378654	+	0.474817i
$121$	1.64042	+	2.05702i	0.149129	+	0.187001i
$122$	1.56853	−	0.755365i	0.142008	−	0.0683875i
$123$	15.3937	−	7.41323i	1.38801	−	0.668428i
$124$	3.42543	+	4.29535i	0.307612	+	0.385734i
$125$	7.12833	+	8.93865i	0.637578	+	0.799497i
$126$	2.93296	+	0.669429i	0.261289	+	0.0596375i
$127$	10.1148	−	12.6835i	0.897540	−	1.12548i	−0.0939865	−	0.995573i	$-0.529961\pi$
$127$	10.1148	−	12.6835i	0.897540	−	1.12548i	0.991526	−	0.129906i	$-0.0414675\pi$
$128$	−11.5375			−1.01978
$129$	−4.80194			−0.422787
$130$	−2.91454	+	3.65472i	−0.255622	+	0.320540i
$131$	2.82275	−	12.3673i	0.246625	−	1.08053i	−0.688227	−	0.725495i	$-0.741611\pi$
$131$	2.82275	−	12.3673i	0.246625	−	1.08053i	0.934852	−	0.355038i	$-0.115532\pi$
$132$	−12.6468	+	6.09035i	−1.10076	+	0.530097i
$133$	5.00149	+	1.14156i	0.433684	+	0.0989856i
$134$	−0.524459	−	0.252566i	−0.0453063	−	0.0218184i
$135$	1.92543	−	2.41441i	0.165714	−	0.207799i
$136$	−5.37531	−	2.58861i	−0.460929	−	0.221972i
$137$	1.21648	−	5.32975i	0.103931	−	0.455351i	−0.896005	−	0.444044i	$-0.853544\pi$
$137$	1.21648	−	5.32975i	0.103931	−	0.455351i	0.999936	−	0.0113074i	$-0.00359934\pi$
$138$	−1.46950	+	0.707674i	−0.125092	+	0.0602412i
$139$	−3.49343	−	15.3057i	−0.296309	−	1.29821i	−0.875578	−	0.483077i	$-0.839519\pi$
$139$	−3.49343	−	15.3057i	−0.296309	−	1.29821i	0.579269	−	0.815136i	$-0.303338\pi$
$140$	5.05765	−	4.03334i	0.427449	−	0.340879i
$141$	−2.23341	+	9.78519i	−0.188087	+	0.824062i
$142$	0.751824	+	3.29396i	0.0630917	+	0.276423i
$143$	−13.4182	−	16.8259i	−1.12209	−	1.40705i
$144$	−1.02446	−	4.48845i	−0.0853716	−	0.374037i
$145$	−10.2850	−	4.95300i	−0.854124	−	0.411324i
$146$	−0.759725			−0.0628753
$147$	3.50000	−	15.3345i	0.288675	−	1.26477i
$148$	3.08575			0.253647
$149$	−1.04407	−	0.502799i	−0.0855338	−	0.0411909i	0.390628	−	0.920549i	$-0.372258\pi$
$149$	−1.04407	−	0.502799i	−0.0855338	−	0.0411909i	−0.476162	+	0.879358i	$0.657972\pi$
$150$	0.807979	+	3.53999i	0.0659712	+	0.289039i
$151$	3.98643	+	4.99882i	0.324411	+	0.406798i	0.917115	−	0.398622i	$-0.130511\pi$
$151$	3.98643	+	4.99882i	0.324411	+	0.406798i	−0.592705	+	0.805420i	$0.701940\pi$
$152$	0.884043	+	3.87325i	0.0717054	+	0.314162i
$153$	1.32759	−	5.81656i	0.107330	−	0.470241i
$154$	−2.35205	−	4.88409i	−0.189534	−	0.393571i
$155$	−1.04407	−	4.57438i	−0.0838620	−	0.367423i
$156$	19.9671	−	9.61565i	1.59865	−	0.769868i
$157$	2.15399	−	9.43724i	0.171907	−	0.753174i	−0.813305	−	0.581837i	$-0.802334\pi$
$157$	2.15399	−	9.43724i	0.171907	−	0.753174i	0.985212	−	0.171337i	$-0.0548087\pi$
$158$	−6.52446	−	3.14201i	−0.519058	−	0.249965i
$159$	−19.8877	+	24.9384i	−1.57720	+	1.97774i
$160$	6.95862	+	3.35109i	0.550127	+	0.264927i
$161$	1.50149	+	3.11788i	0.118334	+	0.245723i
$162$	5.47434	−	2.63631i	0.430105	−	0.207128i
$163$	0.196866	−	0.862525i	0.0154197	−	0.0675582i	−0.966633	−	0.256166i	$-0.917540\pi$
$163$	0.196866	−	0.862525i	0.0154197	−	0.0675582i	0.982052	+	0.188608i	$0.0603976\pi$
$164$	8.02177	−	10.0590i	0.626395	−	0.785475i
$165$	11.9879			0.933258
$166$	−2.66786			−0.207066
$167$	−12.6054	+	15.8066i	−0.975433	+	1.22315i	−0.000649420		1.00000i	$0.500207\pi$
$167$	−12.6054	+	15.8066i	−0.975433	+	1.22315i	−0.974783	+	0.223154i	$0.928365\pi$
$168$	11.8753	−	2.71046i	0.916200	−	0.209117i
$169$	13.0797	+	16.4014i	1.00613	+	1.26165i
$170$	1.45593	+	1.82567i	0.111665	+	0.140023i
$171$	−3.57942	+	1.72376i	−0.273725	+	0.131819i
$172$	−3.25786	+	1.56890i	−0.248410	+	0.119628i
$173$	9.97099	+	12.5032i	0.758081	+	0.950603i	0.999805	−	0.0197420i	$-0.00628448\pi$
$173$	9.97099	+	12.5032i	0.758081	+	0.950603i	−0.241725	+	0.970345i	$0.577713\pi$
$174$	−6.14191	−	7.70171i	−0.465617	−	0.583865i
$175$	7.51089	−	1.71431i	0.567770	−	0.129590i
$176$	−5.17241	+	6.48599i	−0.389885	+	0.488900i
$177$	−14.4819			−1.08852
$178$	−5.22819			−0.391870
$179$	−5.35086	+	6.70976i	−0.399942	+	0.501511i	−0.940499	−	0.339796i	$-0.889642\pi$
$179$	−5.35086	+	6.70976i	−0.399942	+	0.501511i	0.540557	+	0.841307i	$0.318213\pi$
$180$	−1.11476	+	4.88409i	−0.0830893	+	0.364038i
$181$	−3.15668	+	1.52018i	−0.234634	+	0.112994i	−0.547507	−	0.836801i	$-0.684423\pi$
$181$	−3.15668	+	1.52018i	−0.234634	+	0.112994i	0.312873	+	0.949795i	$0.398709\pi$
$182$	3.71350	+	7.71115i	0.275263	+	0.571589i
$183$	6.35086	+	3.05841i	0.469469	+	0.226084i
$184$	−1.67092	+	2.09526i	−0.123182	+	0.154465i
$185$	−2.37435	−	1.14343i	−0.174566	−	0.0840666i
$186$	0.900969	−	3.94740i	0.0660622	−	0.289438i
$187$	−9.68598	+	4.66452i	−0.708309	+	0.341104i
$188$	1.68180	+	7.36845i	0.122658	+	0.537399i
$189$	−2.45324	−	5.09420i	−0.178447	−	0.370549i
$190$	0.346011	−	1.51597i	0.0251023	−	0.109980i
$191$	−2.34117	−	10.2573i	−0.169401	−	0.742194i	−0.986239	−	0.165327i	$-0.947132\pi$
$191$	−2.34117	−	10.2573i	−0.169401	−	0.742194i	0.816838	−	0.576867i	$-0.195725\pi$
$192$	−2.14042	−	2.68400i	−0.154471	−	0.193701i
$193$	1.23490	+	5.41044i	0.0888899	+	0.389452i	0.999728	−	0.0233111i	$-0.00742083\pi$
$193$	1.23490	+	5.41044i	0.0888899	+	0.389452i	−0.910838	+	0.412763i	$0.864564\pi$
$194$	0.678448	+	0.326723i	0.0487097	+	0.0234574i
$195$	−18.9269			−1.35538
$196$	−2.63557	−	11.5472i	−0.188255	−	0.824799i
$197$	18.7506			1.33593			0.667963	−	0.744194i	$-0.267166\pi$
$197$	18.7506			1.33593			0.667963	+	0.744194i	$0.267166\pi$
$198$	3.78232	+	1.82147i	0.268798	+	0.129446i
$199$	0.312823	+	1.37057i	0.0221754	+	0.0971569i	0.984805	−	0.173666i	$-0.0555613\pi$
$199$	0.312823	+	1.37057i	0.0221754	+	0.0971569i	−0.962629	+	0.270823i	$0.912704\pi$
$200$	3.71983	+	4.66452i	0.263032	+	0.329832i
$201$	−0.524459	−	2.29780i	−0.0369925	−	0.162075i
$202$	0.318200	−	1.39412i	0.0223885	−	0.0980902i
$203$	−16.3409	+	13.0315i	−1.14691	+	0.914629i
$204$	−2.46346	−	10.7931i	−0.172477	−	0.755670i
$205$	−9.89977	+	4.76748i	−0.691430	+	0.332975i
$206$	1.36778	−	5.99264i	0.0952978	−	0.417527i
$207$	−2.41454	−	1.16278i	−0.167822	−	0.0808190i
$208$	8.16637	−	10.2403i	0.566236	−	0.710037i
$209$	6.44989	+	3.10610i	0.446148	+	0.214854i
$210$	−4.64795	−	1.06086i	−0.320739	−	0.0732066i
$211$	−0.0353438	+	0.0170207i	−0.00243317	+	0.00117175i	−0.435100	−	0.900382i	$-0.643287\pi$
$211$	−0.0353438	+	0.0170207i	−0.00243317	+	0.00117175i	0.432667	+	0.901554i	$0.357573\pi$
$212$	−5.34481	+	23.4172i	−0.367083	+	1.60830i
$213$	−8.52930	+	10.6954i	−0.584418	+	0.732837i
$214$	7.41119			0.506619
$215$	3.08815			0.210610
$216$	2.73005	−	3.42338i	0.185757	−	0.232931i
$217$	−8.37531	−	1.91161i	−0.568553	−	0.129769i
$218$	3.01693	+	3.78311i	0.204332	+	0.256224i
$219$	−1.91789	−	2.40496i	−0.129599	−	0.162512i
$220$	8.13318	−	3.91673i	0.548339	−	0.264066i
$221$	15.2925	−	7.36450i	1.02869	−	0.495390i
$222$	−1.41789	−	1.77798i	−0.0951629	−	0.119330i
$223$	3.34266	+	4.19156i	0.223841	+	0.280688i	0.881053	−	0.473018i	$-0.156836\pi$
$223$	3.34266	+	4.19156i	0.223841	+	0.280688i	−0.657212	+	0.753706i	$0.728264\pi$
$224$	11.0559	−	8.81680i	0.738705	−	0.589097i
$225$	−3.71983	+	4.66452i	−0.247989	+	0.310968i
$226$	7.69202			0.511666
$227$	18.3110			1.21534			0.607671	−	0.794189i	$-0.292104\pi$
$227$	18.3110			1.21534			0.607671	+	0.794189i	$0.292104\pi$
$228$	−4.59634	+	5.76363i	−0.304400	+	0.381706i
$229$	1.40312	−	6.14749i	0.0927211	−	0.406238i	−0.907173	−	0.420757i	$-0.861765\pi$
$229$	1.40312	−	6.14749i	0.0927211	−	0.406238i	0.999895	+	0.0145191i	$0.00462173\pi$
$230$	0.945042	−	0.455108i	0.0623142	−	0.0300089i
$231$	9.52326	−	19.7753i	0.626585	−	1.30112i
$232$	−14.5831	−	7.02283i	−0.957425	−	0.461072i
$233$	−1.32304	+	1.65904i	−0.0866755	+	0.108688i	−0.823278	−	0.567638i	$-0.807857\pi$
$233$	−1.32304	+	1.65904i	−0.0866755	+	0.108688i	0.736603	+	0.676326i	$0.236429\pi$
$234$	−5.97166	−	2.87580i	−0.390379	−	0.187997i
$235$	1.43631	−	6.29290i	0.0936947	−	0.410503i
$236$	−9.82520	+	4.73157i	−0.639566	+	0.307999i
$237$	−6.52446	−	28.5855i	−0.423809	−	1.85683i
$238$	4.16823	−	0.951371i	0.270186	−	0.0616682i
$239$	0.845478	−	3.70428i	0.0546894	−	0.239610i	−0.940194	−	0.340639i	$-0.889356\pi$
$239$	0.845478	−	3.70428i	0.0546894	−	0.239610i	0.994883	+	0.101029i	$0.0322136\pi$
$240$	1.62349	+	7.11297i	0.104796	+	0.459140i
$241$	5.55645	+	6.96757i	0.357922	+	0.448821i	0.927894	−	0.372844i	$-0.121617\pi$
$241$	5.55645	+	6.96757i	0.357922	+	0.448821i	−0.569972	+	0.821664i	$0.693046\pi$
$242$	−0.324904	−	1.42350i	−0.0208856	−	0.0915060i
$243$	16.3889	+	7.89247i	1.05135	+	0.506302i
$244$	5.30798			0.339809
$245$	−2.25086	+	9.86168i	−0.143802	+	0.630040i
$246$	−9.48188			−0.604542
$247$	−10.1833	−	4.90402i	−0.647947	−	0.312035i
$248$	−1.48039	−	6.48599i	−0.0940046	−	0.411861i
$249$	−6.73490	−	8.44529i	−0.426807	−	0.535199i
$250$	−1.41185	−	6.18574i	−0.0892935	−	0.391220i
$251$	−0.998804	+	4.37604i	−0.0630439	+	0.276213i	−0.996618	−	0.0821702i	$-0.973815\pi$
$251$	−0.998804	+	4.37604i	−0.0630439	+	0.276213i	0.933574	+	0.358384i	$0.116672\pi$
$252$	7.17121	+	5.71885i	0.451744	+	0.360254i
$253$	1.07457	+	4.70801i	0.0675578	+	0.295990i
$254$	−8.11141	+	3.90625i	−0.508955	+	0.245100i
$255$	−2.10388	+	9.21768i	−0.131750	+	0.577234i
$256$	3.01573	+	1.45230i	0.188483	+	0.0907687i
$257$	12.9913	−	16.2905i	0.810373	−	1.01618i	−0.189042	−	0.981969i	$-0.560538\pi$
$257$	12.9913	−	16.2905i	0.810373	−	1.01618i	0.999415	−	0.0342068i	$-0.0108905\pi$
$258$	2.40097	+	1.15625i	0.149478	+	0.0719847i
$259$	−3.77240	+	3.00839i	−0.234405	+	0.186932i
$260$	−12.8409	+	6.18387i	−0.796361	+	0.383507i
$261$	3.60172	−	15.7802i	0.222941	−	0.976768i
$262$	−4.38926	+	5.50395i	−0.271169	+	0.340035i
$263$	−9.14005			−0.563599			−0.281800	−	0.959473i	$-0.590931\pi$
$263$	−9.14005			−0.563599			−0.281800	+	0.959473i	$0.590931\pi$
$264$	16.9976			1.04613
$265$	12.7899	−	16.0380i	0.785675	−	0.985205i
$266$	−2.22587	−	1.77507i	−0.136477	−	0.108837i
$267$	−13.1984	−	16.5502i	−0.807726	−	1.01286i
$268$	−1.10656	−	1.38759i	−0.0675941	−	0.0847604i
$269$	−8.93512	+	4.30293i	−0.544784	+	0.262354i	−0.685971	−	0.727629i	$-0.740622\pi$
$269$	−8.93512	+	4.30293i	−0.544784	+	0.262354i	0.141187	+	0.989983i	$0.454908\pi$
$270$	−1.54407	+	0.743586i	−0.0939693	+	0.0452532i
$271$	−5.53050	−	6.93503i	−0.335954	−	0.421273i	0.584946	−	0.811072i	$-0.301116\pi$
$271$	−5.53050	−	6.93503i	−0.335954	−	0.421273i	−0.920900	+	0.389799i	$0.872544\pi$
$272$	−4.07942	−	5.11543i	−0.247351	−	0.310168i
$273$	−15.0356	+	31.2218i	−0.909998	+	1.88963i
$274$	−1.89158	+	2.37196i	−0.114274	+	0.143295i
$275$	10.7506			0.648287
$276$	−4.97285			−0.299331
$277$	5.02864	−	6.30571i	0.302142	−	0.378874i	−0.607463	−	0.794348i	$-0.707813\pi$
$277$	5.02864	−	6.30571i	0.302142	−	0.378874i	0.909605	+	0.415474i	$0.136384\pi$
$278$	−1.93871	+	8.49402i	−0.116276	+	0.509438i
$279$	5.99396	−	2.88654i	0.358849	−	0.172813i
$280$	−7.63706	+	1.74311i	−0.456402	+	0.104171i
$281$	1.92543	+	0.927237i	0.114861	+	0.0553143i	0.490432	−	0.871479i	$-0.336839\pi$
$281$	1.92543	+	0.927237i	0.114861	+	0.0553143i	−0.375571	+	0.926794i	$0.622553\pi$
$282$	3.47285	−	4.35482i	0.206805	−	0.259326i
$283$	23.1761	+	11.1610i	1.37767	+	0.663453i	0.968502	−	0.249005i	$-0.0801036\pi$
$283$	23.1761	+	11.1610i	1.37767	+	0.663453i	0.409171	+	0.912458i	$0.365818\pi$
$284$	−2.29225	+	10.0430i	−0.136020	+	0.595942i
$285$	5.67241	−	2.73169i	0.336004	−	0.161811i
$286$	2.65764	+	11.6439i	0.157149	+	0.688516i
$287$			20.1180i			1.18753i
$288$	−2.43685	+	10.6765i	−0.143592	+	0.629120i
$289$	1.89612	+	8.30746i	0.111537	+	0.488674i
$290$	3.94989	+	4.95300i	0.231945	+	0.290850i
$291$	0.678448	+	2.97247i	0.0397713	+	0.174250i
$292$	−2.08695	−	1.00502i	−0.122129	−	0.0588145i
$293$	16.5810			0.968675			0.484337	−	0.874881i	$-0.339061\pi$
$293$	16.5810			0.968675			0.484337	+	0.874881i	$0.339061\pi$
$294$	−5.44235	+	6.82450i	−0.317404	+	0.398013i
$295$	9.31336			0.542245
$296$	−3.36658	−	1.62126i	−0.195679	−	0.0942339i
$297$	−1.75571	−	7.69226i	−0.101877	−	0.446350i
$298$	0.400969	+	0.502799i	0.0232275	+	0.0291264i
$299$	−1.69657	−	7.43316i	−0.0981152	−	0.429871i
$300$	−2.46346	+	10.7931i	−0.142228	+	0.623141i
$301$	2.45324	−	5.09420i	0.141402	−	0.293625i
$302$	−0.789561	−	3.45929i	−0.0454341	−	0.199060i
$303$	5.21648	−	2.51212i	0.299679	−	0.144318i
$304$	−0.969501	+	4.24766i	−0.0556047	+	0.243620i
$305$	−4.08426	−	1.96688i	−0.233864	−	0.112623i
$306$	−2.06435	+	2.58861i	−0.118011	+	0.147981i
$307$	−4.41239	−	2.12489i	−0.251828	−	0.121274i	0.303712	−	0.952764i	$-0.401774\pi$
$307$	−4.41239	−	2.12489i	−0.251828	−	0.121274i	−0.555540	+	0.831490i	$0.687488\pi$
$308$		−	16.5280i		−	0.941768i
$309$	22.4230	−	10.7984i	1.27560	−	0.614297i
$310$	−0.579417	+	2.53859i	−0.0329087	+	0.144182i
$311$	−5.09179	+	6.38491i	−0.288729	+	0.362055i	−0.904950	−	0.425519i	$-0.860092\pi$
$311$	−5.09179	+	6.38491i	−0.288729	+	0.362055i	0.616220	+	0.787574i	$0.288663\pi$
$312$	−26.8364			−1.51931
$313$	−31.2107			−1.76414			−0.882068	−	0.471123i	$-0.843849\pi$
$313$	−31.2107			−1.76414			−0.882068	+	0.471123i	$0.843849\pi$
$314$	−3.34936	+	4.19997i	−0.189015	+	0.237018i
$315$	−3.39881	−	7.05771i	−0.191501	−	0.397657i
$316$	−13.7661	−	17.2621i	−0.774401	−	0.971069i
$317$	5.73423	+	7.19050i	0.322067	+	0.403859i	0.916338	−	0.400406i	$-0.131131\pi$
$317$	5.73423	+	7.19050i	0.322067	+	0.403859i	−0.594271	+	0.804265i	$0.702559\pi$
$318$	15.9487	−	7.68048i	0.894358	−	0.430700i
$319$	−26.2778	+	12.6547i	−1.47127	+	0.708528i
$320$	1.37651	+	1.72609i	0.0769493	+	0.0964913i
$321$	18.7092	+	23.4606i	1.04425	+	1.30945i
$322$		−	1.92048i		−	0.107024i
$323$	−3.52028	+	4.41429i	−0.195874	+	0.245618i
$324$	18.5254			1.02919
$325$	−16.9734			−0.941517
$326$	−0.306118	+	0.383860i	−0.0169543	+	0.0212600i
$327$	−4.35958	+	19.1006i	−0.241086	+	1.05626i
$328$	−14.0368	+	6.75978i	−0.775055	+	0.373247i
$329$	−9.23974	−	7.36845i	−0.509403	−	0.406236i
$330$	−5.99396	−	2.88654i	−0.329957	−	0.158899i
$331$	17.4547	−	21.8875i	0.959399	−	1.20305i	−0.0197296	−	0.999805i	$-0.506281\pi$
$331$	17.4547	−	21.8875i	0.959399	−	1.20305i	0.979128	−	0.203243i	$-0.0651480\pi$
$332$	−7.32855	−	3.52924i	−0.402207	−	0.193692i
$333$	0.831478	−	3.64294i	0.0455647	−	0.199632i
$334$	10.1087	−	4.86810i	0.553125	−	0.266371i
$335$	0.337282	+	1.47773i	0.0184277	+	0.0807368i
$336$	13.0233	+	2.97247i	0.710477	+	0.162162i
$337$	3.85139	−	16.8740i	0.209798	−	0.919187i	−0.754902	−	0.655838i	$-0.772316\pi$
$337$	3.85139	−	16.8740i	0.209798	−	0.919187i	0.964700	−	0.263350i	$-0.0848272\pi$
$338$	−2.59060	−	11.3501i	−0.140910	−	0.617367i
$339$	19.4182	+	24.3496i	1.05465	+	1.32249i
$340$	1.58426	+	6.94110i	0.0859186	+	0.376434i
$341$	−10.8007	−	5.20136i	−0.584893	−	0.281670i
$342$	2.20477			0.119220
$343$	14.4797	+	11.5472i	0.781831	+	0.623490i
$344$	4.37867			0.236082
$345$	3.82640	+	1.84270i	0.206006	+	0.0992074i
$346$	−1.97488	−	8.65250i	−0.106170	−	0.465161i
$347$	1.32222	+	1.65801i	0.0709803	+	0.0890065i	0.816054	−	0.577976i	$-0.196157\pi$
$347$	1.32222	+	1.65801i	0.0709803	+	0.0890065i	−0.745074	+	0.666982i	$0.767586\pi$
$348$	−6.68329	−	29.2814i	−0.358262	−	1.56965i
$349$	−4.34601	+	19.0411i	−0.232637	+	1.01925i	0.714806	+	0.699323i	$0.246515\pi$
$349$	−4.34601	+	19.0411i	−0.232637	+	1.01925i	−0.947443	+	0.319925i	$0.896342\pi$
$350$	−4.16823	−	0.951371i	−0.222801	−	0.0508529i
$351$	2.77197	+	12.1448i	0.147957	+	0.648241i
$352$	17.7790	−	8.56190i	0.947622	−	0.456351i
$353$	−1.06704	+	4.67501i	−0.0567928	+	0.248825i	−0.995353	−	0.0962889i	$-0.969303\pi$
$353$	−1.06704	+	4.67501i	−0.0567928	+	0.248825i	0.938561	+	0.345114i	$0.112160\pi$
$354$	7.24094	+	3.48705i	0.384852	+	0.185335i
$355$	5.48523	−	6.87826i	0.291126	−	0.365060i
$356$	−14.3617	−	6.91625i	−0.761171	−	0.366560i
$357$	13.5341	+	10.7931i	0.716303	+	0.571233i
$358$	4.29105	−	2.06646i	0.226789	−	0.109216i
$359$	4.30439	−	18.8588i	0.227177	−	0.995327i	−0.724752	−	0.689009i	$-0.758046\pi$
$359$	4.30439	−	18.8588i	0.227177	−	0.995327i	0.951929	−	0.306318i	$-0.0990970\pi$
$360$	3.78232	−	4.74288i	0.199346	−	0.249972i
$361$	−15.2403			−0.802120
$362$	1.94438			0.102194
$363$	3.68598	−	4.62207i	0.193464	−	0.242596i
$364$			26.0949i			1.36774i
$365$	1.23341	+	1.54664i	0.0645594	+	0.0809550i
$366$	−2.43900	−	3.05841i	−0.127489	−	0.159866i
$367$	7.84870	−	3.77973i	0.409699	−	0.197301i	−0.217671	−	0.976022i	$-0.569846\pi$
$367$	7.84870	−	3.77973i	0.409699	−	0.197301i	0.627369	+	0.778722i	$0.284132\pi$
$368$	−2.64795	+	1.27518i	−0.138034	+	0.0664736i
$369$	−9.71379	−	12.1807i	−0.505680	−	0.634102i
$370$	0.911854	+	1.14343i	0.0474050	+	0.0594440i
$371$	−16.2959	−	33.8388i	−0.846041	−	1.75682i
$372$	7.69687	−	9.65156i	0.399064	−	0.500410i
$373$	−26.0954			−1.35117			−0.675585	−	0.737282i	$-0.736109\pi$
$373$	−26.0954			−1.35117			−0.675585	+	0.737282i	$0.736109\pi$
$374$	5.96615			0.308502
$375$	16.0172	−	20.0850i	0.827126	−	1.03718i
$376$	2.03654	−	8.92267i	0.105027	−	0.460151i
$377$	41.4882	−	19.9797i	2.13675	−	1.02901i
$378$			3.13781i			0.161392i
$379$	−0.594187	−	0.286145i	−0.0305213	−	0.0146983i	0.418561	−	0.908189i	$-0.362535\pi$
$379$	−0.594187	−	0.286145i	−0.0305213	−	0.0146983i	−0.449082	+	0.893490i	$0.648249\pi$
$380$	2.95593	−	3.70662i	0.151636	−	0.190145i
$381$	−32.8424	−	15.8161i	−1.68257	−	0.810282i
$382$	−1.29925	+	5.69238i	−0.0664754	+	0.291248i
$383$	−2.90970	+	1.40124i	−0.148679	+	0.0715999i	−0.506744	−	0.862097i	$-0.669151\pi$
$383$	−2.90970	+	1.40124i	−0.148679	+	0.0715999i	0.358065	+	0.933697i	$0.383437\pi$
$384$	5.76875	+	25.2745i	0.294385	+	1.28979i
$385$	−6.12445	+	12.7175i	−0.312131	+	0.648146i
$386$	0.685317	−	3.00257i	0.0348817	−	0.152827i
$387$	0.974345	+	4.26888i	0.0495287	+	0.217000i
$388$	1.43147	+	1.79500i	0.0726718	+	0.0911275i
$389$	−4.47530	−	19.6076i	−0.226907	−	0.994144i	−0.952145	−	0.305646i	$-0.901128\pi$
$389$	−4.47530	−	19.6076i	−0.226907	−	0.994144i	0.725238	−	0.688498i	$-0.241730\pi$
$390$	9.46346	+	4.55736i	0.479201	+	0.230771i
$391$	−3.80864			−0.192611
$392$	−3.19149	+	13.9828i	−0.161195	+	0.706239i
$393$	−28.5036			−1.43782
$394$	−9.37531	−	4.51491i	−0.472321	−	0.227458i
$395$	4.19591	+	18.3835i	0.211119	+	0.924973i
$396$	7.98039	+	10.0071i	0.401029	+	0.502875i
$397$	6.27844	+	27.5076i	0.315106	+	1.38057i	0.846024	+	0.533145i	$0.178990\pi$
$397$	6.27844	+	27.5076i	0.315106	+	1.38057i	−0.530918	+	0.847423i	$0.678153\pi$
$398$	0.173604	−	0.760607i	0.00870196	−	0.0381258i
$399$		−	11.5273i		−	0.577085i
$400$	1.45593	+	6.37883i	0.0727963	+	0.318942i
$401$	4.31551	−	2.07824i	0.215506	−	0.103782i	−0.323016	−	0.946393i	$-0.604697\pi$
$401$	4.31551	−	2.07824i	0.215506	−	0.103782i	0.538523	+	0.842611i	$0.318983\pi$
$402$	−0.291053	+	1.27518i	−0.0145164	+	0.0636004i
$403$	17.0526	+	8.21208i	0.849449	+	0.409073i
$404$	2.71834	−	3.40869i	0.135242	−	0.169589i
$405$	−14.2545	−	6.86461i	−0.708312	−	0.341105i
$406$	11.3083	−	2.58104i	0.561220	−	0.128095i
$407$	−6.06638	+	2.92141i	−0.300699	+	0.144809i
$408$	−2.98307	+	13.0697i	−0.147684	+	0.647047i
$409$	18.0172	−	22.5929i	0.890894	−	1.11715i	−0.101596	−	0.994826i	$-0.532395\pi$
$409$	18.0172	−	22.5929i	0.890894	−	1.11715i	0.992491	−	0.122320i	$-0.0390335\pi$
$410$	6.09783			0.301151
$411$	−12.2838			−0.605916
$412$	11.6848	−	14.6523i	0.575668	−	0.721865i
$413$	7.39858	−	15.3633i	0.364060	−	0.755979i
$414$	0.927288	+	1.16278i	0.0455737	+	0.0571476i
$415$	4.33124	+	5.43120i	0.212612	+	0.266607i
$416$	−28.0700	+	13.5178i	−1.37625	+	0.662765i
$417$	−31.7826	+	15.3057i	−1.55640	+	0.749523i
$418$	−2.47703	−	3.10610i	−0.121156	−	0.151924i
$419$	−11.4574	−	14.3671i	−0.559732	−	0.701881i	0.418777	−	0.908089i	$-0.362459\pi$
$419$	−11.4574	−	14.3671i	−0.559732	−	0.701881i	−0.978508	+	0.206208i	$0.933888\pi$
$420$	−11.3644	−	9.06283i	−0.554527	−	0.442221i
$421$	−19.8369	+	24.8747i	−0.966792	+	1.21232i	0.0103967	+	0.999946i	$0.496691\pi$
$421$	−19.8369	+	24.8747i	−0.966792	+	1.21232i	−0.977189	+	0.212373i	$0.931881\pi$
$422$	0.0217703			0.00105976
$423$	9.15213			0.444992
$424$	18.1347	−	22.7402i	0.880697	−	1.10436i
$425$	−1.88673	+	8.26631i	−0.0915199	+	0.400975i
$426$	6.83997	−	3.29396i	0.331398	−	0.159593i
$427$	−6.48911	+	5.17490i	−0.314030	+	0.250431i
$428$	20.3584	+	9.80408i	0.984060	+	0.473898i
$429$	−30.1504	+	37.8074i	−1.45568	+	1.82536i
$430$	−1.54407	−	0.743586i	−0.0744618	−	0.0358589i
$431$	1.71260	−	7.50337i	0.0824928	−	0.361425i	−0.916787	−	0.399377i	$-0.869226\pi$
$431$	1.71260	−	7.50337i	0.0824928	−	0.361425i	0.999280	+	0.0379525i	$0.0120836\pi$
$432$	4.32640	−	2.08348i	0.208154	−	0.100242i
$433$	−0.537500	−	2.35494i	−0.0258306	−	0.113171i	0.960369	−	0.278731i	$-0.0899139\pi$
$433$	−0.537500	−	2.35494i	−0.0258306	−	0.113171i	−0.986200	+	0.165560i	$0.947057\pi$
$434$	3.72737	+	2.97247i	0.178919	+	0.142683i
$435$	−5.70775	+	25.0073i	−0.273666	+	1.19901i
$436$	3.28286	+	14.3831i	0.157220	+	0.688827i
$437$	1.58128	+	1.98286i	0.0756427	+	0.0948530i
$438$	0.379863	+	1.66429i	0.0181505	+	0.0795227i
$439$	35.2461	+	16.9736i	1.68220	+	0.810107i	0.996623	+	0.0821095i	$0.0261657\pi$
$439$	35.2461	+	16.9736i	1.68220	+	0.810107i	0.685580	+	0.727997i	$0.259549\pi$
$440$	−10.9312			−0.521126
$441$	−14.3424			−0.682972
$442$	−9.41955			−0.448042
$443$	27.5405	+	13.2628i	1.30849	+	0.630135i	0.952552	−	0.304376i	$-0.0984479\pi$
$443$	27.5405	+	13.2628i	1.30849	+	0.630135i	0.355936	+	0.934510i	$0.384162\pi$
$444$	−1.54288	−	6.75978i	−0.0732217	−	0.320805i
$445$	8.48792	+	10.6435i	0.402366	+	0.504551i
$446$	−0.662054	−	2.90065i	−0.0313492	−	0.137350i
$447$	−0.579417	+	2.53859i	−0.0274055	+	0.120071i
$448$	3.94086	−	0.899476i	0.186188	−	0.0424962i
$449$	−4.89224	−	21.4343i	−0.230879	−	1.01155i	−0.948913	−	0.315539i	$-0.897815\pi$
$449$	−4.89224	−	21.4343i	−0.230879	−	1.01155i	0.718034	−	0.696008i	$-0.245042\pi$
$450$	2.98307	−	1.43657i	0.140623	−	0.0677207i
$451$	−6.24698	+	27.3698i	−0.294159	+	1.28879i
$452$	21.1298	+	10.1756i	0.993863	+	0.478619i
$453$	8.95742	−	11.2322i	0.420856	−	0.527737i
$454$	−9.15548	−	4.40905i	−0.429688	−	0.206927i
$455$	9.66948	−	20.0789i	0.453312	−	0.941313i
$456$	8.04288	−	3.87325i	0.376642	−	0.181381i
$457$	−0.0472939	+	0.207208i	−0.00221231	+	0.00969278i	−0.976022	−	0.217672i	$-0.930154\pi$
$457$	−0.0472939	+	0.207208i	−0.00221231	+	0.00969278i	0.973810	+	0.227365i	$0.0730109\pi$
$458$	−2.18180	+	2.73589i	−0.101949	+	0.127840i
$459$	6.22282			0.290456
$460$	3.19806			0.149110
$461$	−15.8817	+	19.9150i	−0.739682	+	0.927532i	−0.999271	−	0.0381872i	$-0.987842\pi$
$461$	−15.8817	+	19.9150i	−0.739682	+	0.927532i	0.259588	+	0.965719i	$0.416413\pi$
$462$	−9.52326	+	7.59455i	−0.443062	+	0.353330i
$463$	−8.97770	−	11.2577i	−0.417229	−	0.523189i	0.528155	−	0.849148i	$-0.322884\pi$
$463$	−8.97770	−	11.2577i	−0.417229	−	0.523189i	−0.945384	+	0.325960i	$0.894313\pi$
$464$	−11.0673	−	13.8780i	−0.513788	−	0.644270i
$465$	−9.49880	+	4.57438i	−0.440496	+	0.212132i
$466$	1.06100	−	0.510950i	0.0491498	−	0.0236693i
$467$	5.01089	+	6.28345i	0.231876	+	0.290763i	0.884134	−	0.467234i	$-0.154749\pi$
$467$	5.01089	+	6.28345i	0.231876	+	0.290763i	−0.652258	+	0.757997i	$0.726178\pi$
$468$	−12.5997	−	15.7995i	−0.582421	−	0.730333i
$469$	2.70560	+	0.617534i	0.124933	+	0.0285151i
$470$	−2.23341	+	2.80060i	−0.103019	+	0.129182i
$471$	−21.7506			−1.00222
$472$	13.2054			0.607826
$473$	4.91939	−	6.16872i	0.226194	−	0.283638i
$474$	−3.62080	+	15.8638i	−0.166309	+	0.728647i
$475$	5.08695	−	2.44975i	0.233405	−	0.112402i
$476$	12.7086	+	2.90065i	0.582497	+	0.132951i
$477$	26.2054	+	12.6198i	1.19986	+	0.577823i
$478$	−1.31468	+	1.64856i	−0.0601322	+	0.0754034i
$479$	−11.5359	−	5.55539i	−0.527088	−	0.253832i	0.151363	−	0.988478i	$-0.451634\pi$
$479$	−11.5359	−	5.55539i	−0.527088	−	0.253832i	−0.678450	+	0.734646i	$0.737348\pi$
$480$	3.86174	−	16.9194i	0.176264	−	0.772261i
$481$	9.57779	−	4.61242i	0.436710	−	0.210308i
$482$	−1.10052	−	4.82171i	−0.0501275	−	0.219623i
$483$	6.07942	−	4.84817i	0.276623	−	0.220600i
$484$	0.990607	−	4.34013i	0.0450276	−	0.197279i
$485$	−0.436313	−	1.91161i	−0.0198119	−	0.0868018i
$486$	−6.29404	−	7.89247i	−0.285503	−	0.358010i
$487$	−2.06800	−	9.06050i	−0.0937100	−	0.410570i	0.906215	−	0.422817i	$-0.138959\pi$
$487$	−2.06800	−	9.06050i	−0.0937100	−	0.410570i	−0.999925	+	0.0122469i	$0.996102\pi$
$488$	−5.79105	−	2.78882i	−0.262149	−	0.126244i
$489$	−1.98792			−0.0898968
$490$	3.50000	−	4.38886i	0.158114	−	0.198269i
$491$	12.0121			0.542098			0.271049	−	0.962566i	$-0.412630\pi$
$491$	12.0121			0.542098			0.271049	+	0.962566i	$0.412630\pi$
$492$	−26.0465	−	12.5433i	−1.17427	−	0.565498i
$493$	−5.11865	−	22.4263i	−0.230532	−	1.01003i
$494$	3.91082	+	4.90402i	0.175956	+	0.220642i
$495$	−2.43243	−	10.6572i	−0.109329	−	0.479004i
$496$	1.62349	−	7.11297i	0.0728968	−	0.319382i
$497$	−6.98888	−	14.5126i	−0.313494	−	0.650977i
$498$	1.33393	+	5.84433i	0.0597748	+	0.261890i
$499$	−34.7727	+	16.7456i	−1.55664	+	0.749638i	−0.996874	−	0.0790127i	$-0.974823\pi$
$499$	−34.7727	+	16.7456i	−1.55664	+	0.749638i	−0.559766	+	0.828651i	$0.689109\pi$
$500$	4.30463	−	18.8598i	0.192509	−	0.843436i
$501$	40.9294	+	19.7105i	1.82859	+	0.880602i
$502$	1.55310	−	1.94752i	0.0693181	−	0.0869222i
$503$	−3.57457	−	1.72142i	−0.159382	−	0.0767545i	0.352492	−	0.935815i	$-0.385334\pi$
$503$	−3.57457	−	1.72142i	−0.159382	−	0.0767545i	−0.511874	+	0.859060i	$0.671049\pi$
$504$	−4.81916	−	10.0071i	−0.214662	−	0.445751i
$505$	−3.35474	+	1.61556i	−0.149284	+	0.0718914i
$506$	0.596343	−	2.61275i	0.0265107	−	0.116151i
$507$	29.3898	−	36.8537i	1.30525	−	1.63673i
$508$	−27.4494			−1.21787
$509$	−43.7743			−1.94026			−0.970131	−	0.242581i	$-0.922006\pi$
$509$	−43.7743			−1.94026			−0.970131	+	0.242581i	$0.922006\pi$
$510$	3.27144	−	4.10225i	0.144862	−	0.181651i
$511$	3.53116	−	0.805965i	0.156209	−	0.0356538i
$512$	13.2289	+	16.5885i	0.584638	+	0.733113i
$513$	−2.58360	−	3.23973i	−0.114069	−	0.143038i
$514$	−10.4182	+	5.01714i	−0.459527	+	0.221296i
$515$	−14.4203	+	6.94447i	−0.635436	+	0.306010i
$516$	5.06584	+	6.35237i	0.223011	+	0.279647i
$517$	−10.2823	−	12.8936i	−0.452216	−	0.567061i
$518$	2.61058	−	0.595848i	0.114702	−	0.0261801i
$519$	22.4046	−	28.0945i	0.983454	−	1.23321i
$520$	17.2586			0.756839
$521$	40.2277			1.76241			0.881204	−	0.472736i	$-0.156734\pi$
$521$	40.2277			1.76241			0.881204	+	0.472736i	$0.156734\pi$
$522$	−5.60052	+	7.02283i	−0.245128	+	0.307381i
$523$	−6.28717	+	27.5459i	−0.274919	+	1.20450i	0.629209	+	0.777236i	$0.283379\pi$
$523$	−6.28717	+	27.5459i	−0.274919	+	1.20450i	−0.904128	+	0.427262i	$0.859478\pi$
$524$	−19.3382	+	9.31281i	−0.844795	+	0.406832i
$525$	−7.51089	−	15.5965i	−0.327802	−	0.680688i
$526$	4.57002	+	2.20081i	0.199262	+	0.0959598i
$527$	5.89493	−	7.39201i	0.256787	−	0.322001i
$528$	16.7947	+	8.08790i	0.730896	+	0.351981i
$529$	4.73729	−	20.7554i	0.205969	−	0.902410i
$530$	−10.2567	+	4.93935i	−0.445521	+	0.214552i
$531$	2.93847	+	12.8743i	0.127519	+	0.558696i
$532$	−3.76623	−	7.82065i	−0.163287	−	0.339068i
$533$	9.86294	−	43.2123i	0.427211	−	1.87173i
$534$	2.61410	+	11.4531i	0.113123	+	0.495624i
$535$	−12.0320	−	15.0876i	−0.520188	−	0.652296i
$536$	0.478230	+	2.09526i	0.0206564	+	0.0905015i
$537$	17.3741	+	8.36693i	0.749749	+	0.361060i
$538$	5.50365			0.237279
$539$	16.1136	+	20.2058i	0.694060	+	0.870324i
$540$	−5.22521			−0.224857
$541$	19.3557	+	9.32121i	0.832167	+	0.400750i	0.800927	−	0.598762i	$-0.204340\pi$
$541$	19.3557	+	9.32121i	0.832167	+	0.400750i	0.0312393	+	0.999512i	$0.490055\pi$
$542$	1.09538	+	4.79919i	0.0470507	+	0.206143i
$543$	4.90850	+	6.15507i	0.210644	+	0.264139i
$544$	3.46316	+	15.1731i	0.148482	+	0.650542i
$545$	2.80367	−	12.2837i	0.120096	−	0.526174i
$546$	15.0356	−	11.9905i	0.643466	−	0.513147i
$547$	8.43458	+	36.9543i	0.360637	+	1.58005i	0.751582	+	0.659639i	$0.229291\pi$
$547$	8.43458	+	36.9543i	0.360637	+	1.58005i	−0.390946	+	0.920414i	$0.627852\pi$
$548$	−8.33393	+	4.01341i	−0.356008	+	0.171444i
$549$	1.43027	−	6.26643i	0.0610425	−	0.267445i
$550$	−5.37531	−	2.58861i	−0.229204	−	0.110379i
$551$	−9.55041	+	11.9758i	−0.406861	+	0.510188i
$552$	5.42543	+	2.61275i	0.230922	+	0.111206i
$553$	33.6586	+	7.68236i	1.43131	+	0.326687i
$554$	−4.03266	+	1.94202i	−0.171331	+	0.0825087i
$555$	−1.31767	+	5.77308i	−0.0559319	+	0.245053i
$556$	−16.5621	+	20.7682i	−0.702390	+	0.880770i
$557$	−27.3394			−1.15841			−0.579205	−	0.815182i	$-0.696637\pi$
$557$	−27.3394			−1.15841			−0.579205	+	0.815182i	$0.696637\pi$
$558$	−3.69202			−0.156296
$559$	−7.76689	+	9.73937i	−0.328504	+	0.411932i
$560$	−8.37531	−	1.91161i	−0.353922	−	0.0807803i
$561$	15.0613	+	18.8863i	0.635888	+	0.797379i
$562$	−0.739447	−	0.927237i	−0.0311917	−	0.0391131i
$563$	−22.7364	+	10.9493i	−0.958225	+	0.461457i	−0.846562	−	0.532290i	$-0.821332\pi$
$563$	−22.7364	+	10.9493i	−0.958225	+	0.461457i	−0.111662	+	0.993746i	$0.535617\pi$
$564$	15.3007	−	7.36845i	0.644277	−	0.310268i
$565$	−12.4879	−	15.6594i	−0.525371	−	0.658794i
$566$	−8.90060	−	11.1610i	−0.374120	−	0.469132i
$567$	−22.6477	+	18.0609i	−0.951114	+	0.758488i
$568$	7.77748	−	9.75265i	0.326336	−	0.409212i
$569$	23.5894			0.988919			0.494460	−	0.869201i	$-0.335366\pi$
$569$	23.5894			0.988919			0.494460	+	0.869201i	$0.335366\pi$
$570$	−3.49396			−0.146346
$571$	−0.0576465	+	0.0722865i	−0.00241243	+	0.00302509i	−0.783036	−	0.621976i	$-0.786330\pi$
$571$	−0.0576465	+	0.0722865i	−0.00241243	+	0.00302509i	0.780624	+	0.625001i	$0.214902\pi$
$572$	−8.10292	+	35.5012i	−0.338800	+	1.48438i
$573$	−21.2995	+	10.2573i	−0.889801	+	0.428506i
$574$	4.84415	−	10.0590i	0.202191	−	0.419854i
$575$	3.43147	+	1.65251i	0.143102	+	0.0689143i
$576$	−1.95175	+	2.44741i	−0.0813228	+	0.101976i
$577$	−11.4400	−	5.50919i	−0.476252	−	0.229351i	0.180329	−	0.983606i	$-0.442284\pi$
$577$	−11.4400	−	5.50919i	−0.476252	−	0.229351i	−0.656581	+	0.754256i	$0.727998\pi$
$578$	1.05227	−	4.61029i	0.0437687	−	0.191763i
$579$	11.2349	−	5.41044i	0.466906	−	0.224850i
$580$	4.29805	+	18.8310i	0.178467	+	0.781915i
$581$	12.4001	−	2.83023i	0.514442	−	0.117418i
$582$	0.376510	−	1.64960i	0.0156068	−	0.0683781i
$583$	−11.6625	−	51.0967i	−0.483011	−	2.11621i
$584$	1.74884	+	2.19298i	0.0723675	+	0.0907460i
$585$	3.84040	+	16.8259i	0.158781	+	0.695664i
$586$	−8.29052	−	3.99250i	−0.342478	−	0.164929i
$587$	−38.4077			−1.58526			−0.792628	−	0.609705i	$-0.791288\pi$
$587$	−38.4077			−1.58526			−0.792628	+	0.609705i	$0.791288\pi$
$588$	−23.9780	+	11.5472i	−0.988836	+	0.476198i
$589$	−6.29590			−0.259418
$590$	−4.65668	−	2.24254i	−0.191712	−	0.0923238i
$591$	−9.37531	−	41.0759i	−0.385649	−	1.68964i
$592$	−2.55496	−	3.20382i	−0.105008	−	0.131676i
$593$	0.356363	+	1.56133i	0.0146341	+	0.0641161i	0.981718	−	0.190343i	$-0.0609599\pi$
$593$	0.356363	+	1.56133i	0.0146341	+	0.0641161i	−0.967084	+	0.254459i	$0.918103\pi$
$594$	−0.974345	+	4.26888i	−0.0399779	+	0.175154i
$595$	−8.70387	−	6.94110i	−0.356824	−	0.284557i
$596$	0.436313	+	1.91161i	0.0178721	+	0.0783026i
$597$	2.84601	−	1.37057i	0.116479	−	0.0560936i
$598$	−0.941525	+	4.12509i	−0.0385018	+	0.168688i
$599$	−20.7180	−	9.97725i	−0.846513	−	0.407659i	−0.0402312	−	0.999190i	$-0.512809\pi$
$599$	−20.7180	−	9.97725i	−0.846513	−	0.407659i	−0.806282	+	0.591531i	$0.798524\pi$
$600$	8.35839	−	10.4811i	0.341230	−	0.427889i
$601$	16.8436	+	8.11146i	0.687066	+	0.330873i	0.744638	−	0.667468i	$-0.232622\pi$
$601$	16.8436	+	8.11146i	0.687066	+	0.330873i	−0.0575730	+	0.998341i	$0.518336\pi$
$602$	−2.45324	+	1.95639i	−0.0999865	+	0.0797366i
$603$	−1.93631	+	0.932479i	−0.0788527	+	0.0379735i
$604$	2.40731	−	10.5471i	0.0979519	−	0.429155i
$605$	−2.37047	+	2.97247i	−0.0963733	+	0.120848i
$606$	−3.21313			−0.130524
$607$	21.9245			0.889889			0.444945	−	0.895558i	$-0.353223\pi$
$607$	21.9245			0.889889			0.444945	+	0.895558i	$0.353223\pi$
$608$	6.46160	−	8.10259i	0.262052	−	0.328603i
$609$	36.7177	+	29.2814i	1.48788	+	1.18654i
$610$	1.56853	+	1.96688i	0.0635080	+	0.0796365i
$611$	16.2341	+	20.3569i	0.656760	+	0.823551i
$612$	−9.09515	+	4.37999i	−0.367649	+	0.177051i
$613$	20.7407	−	9.98820i	0.837709	−	0.403419i	0.0347083	−	0.999397i	$-0.488950\pi$
$613$	20.7407	−	9.98820i	0.837709	−	0.403419i	0.803001	+	0.595978i	$0.203235\pi$
$614$	1.69455	+	2.12489i	0.0683863	+	0.0857537i
$615$	15.3937	+	19.3031i	0.620735	+	0.778377i
$616$	−8.68382	+	18.0321i	−0.349881	+	0.726536i
$617$	−8.21648	+	10.3031i	−0.330783	+	0.414789i	−0.919214	−	0.393759i	$-0.871175\pi$
$617$	−8.21648	+	10.3031i	−0.330783	+	0.414789i	0.588431	+	0.808548i	$0.299746\pi$
$618$	−13.8116			−0.555585
$619$	−40.4674			−1.62652			−0.813261	−	0.581899i	$-0.802310\pi$
$619$	−40.4674			−1.62652			−0.813261	+	0.581899i	$0.802310\pi$
$620$	−4.94989	+	6.20696i	−0.198792	+	0.249278i
$621$	0.621998	−	2.72515i	0.0249599	−	0.109357i
$622$	4.08330	−	1.96641i	0.163725	−	0.0788460i
$623$	24.3004	−	5.54640i	0.973574	−	0.222212i
$624$	−26.5160	−	12.7694i	−1.06149	−	0.511187i
$625$	−1.22318	+	1.53383i	−0.0489274	+	0.0613530i
$626$	15.6054	+	7.51515i	0.623716	+	0.300366i
$627$	3.57942	−	15.6824i	0.142948	−	0.626297i
$628$	−14.7567	+	7.10644i	−0.588855	+	0.283578i
$629$	−1.18167	−	5.17723i	−0.0471162	−	0.206430i
$630$			4.34724i			0.173198i
$631$	−8.85809	+	38.8098i	−0.352635	+	1.54500i	0.418436	+	0.908246i	$0.362578\pi$
$631$	−8.85809	+	38.8098i	−0.352635	+	1.54500i	−0.771071	+	0.636749i	$0.780279\pi$
$632$	5.94935	+	26.0658i	0.236653	+	1.03684i
$633$	0.0549581	+	0.0689153i	0.00218439	+	0.00273914i
$634$	−1.13574	−	4.97598i	−0.0451058	−	0.197621i
$635$	21.1211	+	10.1714i	0.838165	+	0.403639i
$636$	53.9711			2.14009
$637$	−25.4406	−	31.9015i	−1.00799	−	1.26398i
$638$	16.1860			0.640809
$639$	11.2388	+	5.41231i	0.444599	+	0.214108i
$640$	−3.70991	−	16.2542i	−0.146647	−	0.642502i
$641$	23.7778	+	29.8164i	0.939166	+	1.17768i	0.983908	+	0.178678i	$0.0571820\pi$
$641$	23.7778	+	29.8164i	0.939166	+	1.17768i	−0.0447420	+	0.998999i	$0.514247\pi$
$642$	−3.70560	−	16.2353i	−0.146248	−	0.640755i
$643$	3.69053	−	16.1693i	0.145540	−	0.637654i	−0.848552	−	0.529113i	$-0.822525\pi$
$643$	3.69053	−	16.1693i	0.145540	−	0.637654i	0.994092	−	0.108541i	$-0.0346179\pi$
$644$	2.54056	−	5.27552i	0.100112	−	0.207885i
$645$	−1.54407	−	6.76503i	−0.0607978	−	0.266373i
$646$	2.82304	−	1.35951i	0.111071	−	0.0534891i
$647$	−3.62056	+	15.8627i	−0.142339	+	0.623628i	0.852549	+	0.522647i	$0.175055\pi$
$647$	−3.62056	+	15.8627i	−0.142339	+	0.623628i	−0.994888	+	0.100981i	$0.967802\pi$
$648$	−20.2114	−	9.73330i	−0.793979	−	0.382360i
$649$	14.8361	−	18.6039i	0.582367	−	0.730265i
$650$	8.48672	+	4.08699i	0.332877	+	0.160305i
$651$			19.3031i			0.756549i
$652$	−1.34870	+	0.649499i	−0.0528191	+	0.0254364i
$653$	−3.53252	+	15.4770i	−0.138238	+	0.605662i	0.857584	+	0.514345i	$0.171965\pi$
$653$	−3.53252	+	15.4770i	−0.138238	+	0.605662i	−0.995822	+	0.0913170i	$0.970892\pi$
$654$	6.77897	−	8.50056i	0.265079	−	0.332398i
$655$	18.3308			0.716244
$656$	−17.0858			−0.667087
$657$	−1.74884	+	2.19298i	−0.0682287	+	0.0855561i
$658$	2.84564	+	5.90904i	0.110935	+	0.230358i
$659$	−15.3795	−	19.2853i	−0.599100	−	0.751248i	0.386137	−	0.922441i	$-0.373809\pi$
$659$	−15.3795	−	19.2853i	−0.599100	−	0.751248i	−0.985237	+	0.171194i	$0.945238\pi$
$660$	−12.6468	−	15.8585i	−0.492274	−	0.617292i
$661$	31.5248	−	15.1815i	1.22617	−	0.590493i	0.295147	−	0.955452i	$-0.404631\pi$
$661$	31.5248	−	15.1815i	1.22617	−	0.590493i	0.931024	+	0.364959i	$0.118917\pi$
$662$	−13.9976	+	6.74089i	−0.544032	+	0.261992i
$663$	−23.7793	−	29.8183i	−0.923510	−	1.15805i
$664$	6.14124	+	7.70088i	0.238326	+	0.298852i
$665$			7.41323i			0.287473i
$666$	−1.29291	+	1.62126i	−0.0500994	+	0.0628226i
$667$	−10.3327			−0.400085
$668$	34.2083			1.32356
$669$	7.51089	−	9.41835i	0.290388	−	0.364135i
$670$	0.187177	−	0.820077i	0.00723128	−	0.0316823i
$671$	−10.4351	+	5.02529i	−0.402843	+	0.193999i
$672$	−24.8424	−	19.8112i	−0.958317	−	0.764232i
$673$	−41.9451	−	20.1997i	−1.61686	−	0.778641i	−0.616900	−	0.787041i	$-0.711612\pi$
$673$	−41.9451	−	20.1997i	−1.61686	−	0.778641i	−0.999965	+	0.00840043i	$0.997326\pi$
$674$	−5.98875	+	7.50965i	−0.230678	+	0.289261i
$675$	−5.60656	−	2.69998i	−0.215797	−	0.103922i
$676$	7.89852	−	34.6057i	0.303789	−	1.33099i
$677$	20.7664	−	10.0006i	0.798116	−	0.384352i	0.0100549	−	0.999949i	$-0.496799\pi$
$677$	20.7664	−	10.0006i	0.798116	−	0.384352i	0.788061	+	0.615597i	$0.211085\pi$
$678$	−3.84601	−	16.8505i	−0.147705	−	0.647139i
$679$	−3.50000	−	0.798852i	−0.134318	−	0.0306571i
$680$	1.91843	−	8.40518i	0.0735683	−	0.322324i
$681$	−9.15548	−	40.1128i	−0.350839	−	1.53713i
$682$	4.14795	+	5.20136i	0.158833	+	0.199170i
$683$	7.14310	+	31.2960i	0.273323	+	1.19751i	0.906063	+	0.423143i	$0.139073\pi$
$683$	7.14310	+	31.2960i	0.273323	+	1.19751i	−0.632740	+	0.774365i	$0.718070\pi$
$684$	6.05645	+	2.91663i	0.231574	+	0.111520i
$685$	7.89977			0.301835
$686$	−4.45944	−	9.26013i	−0.170262	−	0.353553i
$687$	−14.1685			−0.540563
$688$	4.32640	+	2.08348i	0.164942	+	0.0794320i
$689$	18.4131	+	80.6731i	0.701484	+	3.07340i
$690$	−1.46950	−	1.84270i	−0.0559429	−	0.0701502i
$691$	−10.2301	−	44.8208i	−0.389170	−	1.70506i	−0.667527	−	0.744586i	$-0.732647\pi$
$691$	−10.2301	−	44.8208i	−0.389170	−	1.70506i	0.278357	−	0.960478i	$-0.410210\pi$
$692$	6.02124	−	26.3808i	0.228893	−	1.00285i
$693$	−19.5124	−	4.45357i	−0.741214	−	0.169177i
$694$	−0.261881	−	1.14738i	−0.00994087	−	0.0435538i
$695$	20.4395	−	9.84316i	0.775316	−	0.373372i
$696$	−8.09299	+	35.4577i	−0.306764	+	1.34402i
$697$	−19.9487	−	9.60678i	−0.755611	−	0.363883i
$698$	6.75786	−	8.47409i	0.255789	−	0.320749i
$699$	4.29590	+	2.06879i	0.162486	+	0.0782490i
$700$	−10.1915	−	8.12744i	−0.385202	−	0.307188i
$701$	−19.1978	+	9.24519i	−0.725092	+	0.349186i	−0.759752	−	0.650213i	$-0.774680\pi$
$701$	−19.1978	+	9.24519i	−0.725092	+	0.349186i	0.0346598	+	0.999399i	$0.488965\pi$
$702$	1.53833	−	6.73985i	0.0580604	−	0.254379i
$703$	−2.20477	+	2.76469i	−0.0831544	+	0.104272i
$704$	5.64071			0.212592
$705$	−14.5036			−0.546239
$706$	1.65920	−	2.08057i	0.0624449	−	0.0783034i
$707$			6.81738i			0.256394i
$708$	15.2778	+	19.1577i	0.574174	+	0.719991i
$709$	8.21044	+	10.2956i	0.308350	+	0.386658i	0.911726	−	0.410798i	$-0.134750\pi$
$709$	8.21044	+	10.2956i	0.308350	+	0.386658i	−0.603377	+	0.797456i	$0.706178\pi$
$710$	−4.39881	+	2.11836i	−0.165085	+	0.0795005i
$711$	−24.0884	+	11.6004i	−0.903387	+	0.435048i
$712$	12.0350	+	15.0914i	0.451030	+	0.565573i
$713$	−2.64795	−	3.32042i	−0.0991664	−	0.124351i
$714$	−4.16823	−	8.65541i	−0.155992	−	0.323921i
$715$	19.3898	−	24.3141i	0.725139	−	0.909296i
$716$	14.5211			0.542679
$717$	−8.53750			−0.318839
$718$	−6.69314	+	8.39294i	−0.249786	+	0.313222i
$719$	11.2902	−	49.4654i	0.421052	−	1.84475i	−0.105245	−	0.994446i	$-0.533563\pi$
$719$	11.2902	−	49.4654i	0.421052	−	1.84475i	0.526296	−	0.850301i	$-0.323580\pi$
$720$	5.99396	−	2.88654i	0.223382	−	0.107575i
$721$			29.3045i			1.09136i
$722$	7.62014	+	3.66966i	0.283592	+	0.136571i
$723$	12.4852	−	15.6560i	0.464331	−	0.582252i
$724$	5.34117	+	2.57217i	0.198503	+	0.0955940i
$725$	−5.11865	+	22.4263i	−0.190102	+	0.832890i
$726$	−2.95593	+	1.42350i	−0.109705	+	0.0528310i
$727$	−2.60076	−	11.3947i	−0.0964569	−	0.422605i	0.903526	−	0.428534i	$-0.140970\pi$
$727$	−2.60076	−	11.3947i	−0.0964569	−	0.422605i	−0.999982	+	0.00592910i	$0.998113\pi$
$728$	13.7103	−	28.4697i	0.508138	−	1.05516i
$729$	1.78621	−	7.82589i	0.0661559	−	0.289848i
$730$	−0.244291	−	1.07031i	−0.00904162	−	0.0396139i
$731$	3.87986	+	4.86519i	0.143502	+	0.179946i
$732$	−2.65399	−	11.6279i	−0.0980943	−	0.429779i
$733$	32.2303	+	15.5213i	1.19046	+	0.573293i	0.920940	−	0.389703i	$-0.127422\pi$
$733$	32.2303	+	15.5213i	1.19046	+	0.573293i	0.269515	+	0.962996i	$0.413137\pi$
$734$	−4.83446			−0.178443
$735$	22.7289			0.838367
$736$	6.99090			0.257688
$737$	3.48911	+	1.68027i	0.128523	+	0.0618935i
$738$	1.92394	+	8.42931i	0.0708210	+	0.310287i
$739$	26.4068	+	33.1130i	0.971389	+	1.21808i	0.975928	+	0.218093i	$0.0699837\pi$
$739$	26.4068	+	33.1130i	0.971389	+	1.21808i	−0.00453907	+	0.999990i	$0.501445\pi$
$740$	0.992230	+	4.34724i	0.0364751	+	0.159808i
$741$	−5.65130	+	24.7600i	−0.207606	+	0.909580i
$742$			20.8432i			0.765179i
$743$	−10.0051	−	43.8354i	−0.367053	−	1.60816i	−0.734831	−	0.678250i	$-0.762738\pi$
$743$	−10.0051	−	43.8354i	−0.367053	−	1.60816i	0.367778	−	0.929914i	$-0.380119\pi$
$744$	−13.4683	+	6.48599i	−0.493772	+	0.237788i
$745$	0.372625	−	1.63258i	0.0136519	−	0.0598130i
$746$	13.0477	+	6.28345i	0.477711	+	0.230053i
$747$	−6.14124	+	7.70088i	−0.224696	+	0.281760i
$748$	16.3889	+	7.89247i	0.599237	+	0.288577i
$749$	−34.4468	+	7.86226i	−1.25866	+	0.287281i
$750$	−12.8448	+	6.18574i	−0.469026	+	0.225871i
$751$	−4.85786	+	21.2837i	−0.177266	+	0.776652i	0.805620	+	0.592433i	$0.201833\pi$
$751$	−4.85786	+	21.2837i	−0.177266	+	0.776652i	−0.982885	+	0.184219i	$0.941025\pi$
$752$	6.25786	−	7.84711i	0.228201	−	0.286155i
$753$	10.0858			0.367545
$754$	−25.5550			−0.930657
$755$	−5.76055	+	7.22351i	−0.209648	+	0.262890i
$756$	−4.15093	+	8.61950i	−0.150968	+	0.313488i
$757$	11.9973	+	15.0442i	0.436050	+	0.546789i	0.950497	−	0.310733i	$-0.100574\pi$
$757$	11.9973	+	15.0442i	0.436050	+	0.546789i	−0.514448	+	0.857522i	$0.672003\pi$
$758$	0.228193	+	0.286145i	0.00828835	+	0.0103933i
$759$	9.77628	−	4.70801i	0.354857	−	0.170890i
$760$	−5.17241	+	2.49090i	−0.187623	+	0.0903544i
$761$	−5.20357	−	6.52507i	−0.188629	−	0.236534i	0.678520	−	0.734582i	$-0.262622\pi$
$761$	−5.20357	−	6.52507i	−0.188629	−	0.236534i	−0.867149	+	0.498048i	$0.834050\pi$
$762$	12.6129	+	15.8161i	0.456917	+	0.572956i
$763$	−18.0359	−	14.3831i	−0.652943	−	0.520704i
$764$	−11.0993	+	13.9181i	−0.401560	+	0.503540i
$765$	8.62133			0.311705
$766$	1.79225			0.0647566
$767$	−23.4237	+	29.3724i	−0.845781	+	1.06058i
$768$	1.67360	−	7.33254i	0.0603910	−	0.264590i
$769$	−22.4785	+	10.8251i	−0.810596	+	0.390363i	−0.792802	−	0.609479i	$-0.791379\pi$
$769$	−22.4785	+	10.8251i	−0.810596	+	0.390363i	−0.0177942	+	0.999842i	$0.505664\pi$
$770$	6.12445	−	4.88409i	0.220710	−	0.176010i
$771$	−42.1824	−	20.3140i	−1.51916	−	0.731590i
$772$	5.85458	−	7.34141i	0.210711	−	0.264223i
$773$	−22.7380	−	10.9501i	−0.817829	−	0.393846i	−0.0222929	−	0.999751i	$-0.507097\pi$
$773$	−22.7380	−	10.9501i	−0.817829	−	0.393846i	−0.795537	+	0.605906i	$0.792811\pi$
$774$	0.540721	−	2.36905i	0.0194358	−	0.0851538i
$775$	−8.51842	+	4.10225i	−0.305991	+	0.147357i
$776$	−0.618645	−	2.71046i	−0.0222081	−	0.0972999i
$777$	8.47650	+	6.75978i	0.304093	+	0.242506i
$778$	−2.48361	+	10.8814i	−0.0890416	+	0.390117i
$779$	3.28083	+	14.3743i	0.117548	+	0.515011i
$780$	19.9671	+	25.0380i	0.714937	+	0.896503i
$781$	−5.00173	−	21.9140i	−0.178976	−	0.784145i
$782$	1.90432	+	0.917073i	0.0680984	+	0.0327945i
$783$	16.8823			0.603325
$784$	−9.80678	+	12.2973i	−0.350242	+	0.439190i
$785$	13.9879			0.499250
$786$	14.2518	+	6.86332i	0.508346	+	0.244806i
$787$	−5.17092	−	22.6553i	−0.184323	−	0.807573i	−0.979540	−	0.201248i	$-0.935500\pi$
$787$	−5.17092	−	22.6553i	−0.184323	−	0.807573i	0.795217	−	0.606325i	$-0.207357\pi$
$788$	−19.7811	−	24.8047i	−0.704673	−	0.883633i
$789$	4.57002	+	20.0226i	0.162697	+	0.712823i
$790$	2.32855	−	10.2021i	0.0828462	−	0.362973i
$791$	−35.7521	+	8.16019i	−1.27120	+	0.290143i
$792$	−3.44893	−	15.1107i	−0.122552	−	0.536937i
$793$	16.4753	−	7.93409i	0.585055	−	0.281748i
$794$	3.48427	−	15.2656i	0.123652	−	0.541755i
$795$	−41.5284	−	19.9990i	−1.47286	−	0.709292i
$796$	1.48307	−	1.85972i	0.0525662	−	0.0659159i
$797$	24.7458	+	11.9169i	0.876541	+	0.422120i	0.817360	−	0.576128i	$-0.195437\pi$
$797$	24.7458	+	11.9169i	0.876541	+	0.422120i	0.0591808	+	0.998247i	$0.481151\pi$
$798$	−2.77562	+	5.76363i	−0.0982558	+	0.204030i
$799$	11.7186	−	5.64340i	0.414576	−	0.199649i
$800$	3.46316	−	15.1731i	0.122441	−	0.536451i
$801$	−12.0350	+	15.0914i	−0.425235	+	0.533228i
$802$	−2.65817			−0.0938632
$803$	5.05429			0.178362
$804$	−2.48643	+	3.11788i	−0.0876895	+	0.109959i
$805$	−3.90970	+	3.11788i	−0.137799	+	0.109891i
$806$	−6.54892	−	8.21208i	−0.230676	−	0.289258i
$807$	13.8937	+	17.4222i	0.489083	+	0.613290i
$808$	−4.75667	+	2.29069i	−0.167339	+	0.0805862i
$809$	−18.8887	+	9.09629i	−0.664090	+	0.319809i	−0.735388	−	0.677646i	$-0.763000\pi$
$809$	−18.8887	+	9.09629i	−0.664090	+	0.319809i	0.0712984	+	0.997455i	$0.477286\pi$
$810$	5.47434	+	6.86461i	0.192349	+	0.241198i
$811$	18.2878	+	22.9322i	0.642173	+	0.805259i	0.991273	−	0.131826i	$-0.0420841\pi$
$811$	18.2878	+	22.9322i	0.642173	+	0.805259i	−0.349100	+	0.937085i	$0.613513\pi$
$812$	34.4780	+	7.86938i	1.20994	+	0.276161i
$813$	−12.4269	+	15.5829i	−0.435831	+	0.546515i
$814$	3.73663			0.130969
$815$	1.27844			0.0447817
$816$	−9.16637	+	11.4943i	−0.320887	+	0.402380i
$817$	0.922075	−	4.03988i	0.0322593	−	0.141337i
$818$	−14.4487	+	6.95812i	−0.505187	+	0.243285i
$819$	30.8068	+	7.03145i	1.07648	+	0.245699i
$820$	16.7506	+	8.06668i	0.584957	+	0.281701i
$821$	6.59866	−	8.27446i	0.230295	−	0.288781i	−0.653235	−	0.757155i	$-0.726589\pi$
$821$	6.59866	−	8.27446i	0.230295	−	0.288781i	0.883530	+	0.468374i	$0.155160\pi$
$822$	6.14191	+	2.95779i	0.214224	+	0.103165i
$823$	1.26516	−	5.54303i	0.0441007	−	0.193218i	−0.948079	−	0.318035i	$-0.896977\pi$
$823$	1.26516	−	5.54303i	0.0441007	−	0.193218i	0.992180	+	0.124817i	$0.0398343\pi$
$824$	−20.4465	+	9.84653i	−0.712289	+	0.343020i
$825$	−5.37531	−	23.5508i	−0.187144	−	0.819933i
$826$	−7.39858	+	5.90017i	−0.257429	+	0.205293i
$827$	−1.06531	+	4.66743i	−0.0370445	+	0.162302i	−0.990067	−	0.140597i	$-0.955098\pi$
$827$	−1.06531	+	4.66743i	−0.0370445	+	0.162302i	0.953022	+	0.302900i	$0.0979548\pi$
$828$	1.00902	+	4.42083i	0.0350660	+	0.153634i
$829$	17.6509	+	22.1336i	0.613042	+	0.768731i	0.987347	−	0.158575i	$-0.0506900\pi$
$829$	17.6509	+	22.1336i	0.613042	+	0.768731i	−0.374305	+	0.927306i	$0.622119\pi$
$830$	−0.857855	−	3.75851i	−0.0297766	−	0.130460i
$831$	−16.3279	−	7.86310i	−0.566408	−	0.272768i
$832$	−8.90574			−0.308751
$833$	−18.3644	+	8.84384i	−0.636290	+	0.306421i
$834$	19.5767			0.677887
$835$	−26.3218	−	12.6759i	−0.910905	−	0.438669i
$836$	−2.69537	−	11.8092i	−0.0932215	−	0.408430i
$837$	4.32640	+	5.42513i	0.149542	+	0.187520i
$838$	2.26928	+	9.94238i	0.0783911	+	0.343454i
$839$	11.1539	−	48.8682i	0.385074	−	1.68712i	−0.296229	−	0.955117i	$-0.595729\pi$
$839$	11.1539	−	48.8682i	0.385074	−	1.68712i	0.681302	−	0.732002i	$-0.261414\pi$
$840$	7.63706	+	15.8585i	0.263504	+	0.547171i
$841$	−7.43362	−	32.5688i	−0.256332	−	1.12306i
$842$	15.9080	−	7.66087i	0.548225	−	0.264011i
$843$	1.06853	−	4.68154i	0.0368022	−	0.161241i
$844$	0.0598025	+	0.0287994i	0.00205849	+	0.000991315i
$845$	−18.9007	+	23.7008i	−0.650205	+	0.815331i
$846$	−4.57606	−	2.20372i	−0.157328	−	0.0757653i
$847$	3.02028	+	6.27167i	0.103778	+	0.215497i
$848$	28.7385	−	13.8398i	0.986886	−	0.475259i
$849$	12.8617	−	56.3510i	0.441414	−	1.93396i
$850$	2.93379	−	3.67885i	0.100628	−	0.126184i
$851$	−2.38537			−0.0817695
$852$	23.1468			0.792995
$853$	−16.9125	+	21.2076i	−0.579074	+	0.726135i	−0.981955	−	0.189117i	$-0.939437\pi$
$853$	−16.9125	+	21.2076i	−0.579074	+	0.726135i	0.402881	+	0.915252i	$0.368009\pi$
$854$	4.49061	−	1.02495i	0.153665	−	0.0350731i
$855$	−3.57942	−	4.48845i	−0.122413	−	0.153502i
$856$	−17.0601	−	21.3927i	−0.583102	−	0.731187i
$857$	−5.05496	+	2.43434i	−0.172674	+	0.0831555i	−0.518224	−	0.855245i	$-0.673407\pi$
$857$	−5.05496	+	2.43434i	−0.172674	+	0.0831555i	0.345550	+	0.938400i	$0.387692\pi$
$858$	24.1787	−	11.6439i	0.825449	−	0.397515i
$859$	6.89344	+	8.64410i	0.235201	+	0.294933i	0.885399	−	0.464832i	$-0.153885\pi$
$859$	6.89344	+	8.64410i	0.235201	+	0.294933i	−0.650198	+	0.759765i	$0.725314\pi$
$860$	−3.25786	−	4.08523i	−0.111092	−	0.139305i
$861$	44.0713	−	10.0590i	1.50195	−	0.342809i
$862$	−2.66301	+	3.33931i	−0.0907026	+	0.113737i
$863$	−3.56571			−0.121378			−0.0606891	−	0.998157i	$-0.519330\pi$
$863$	−3.56571			−0.121378			−0.0606891	+	0.998157i	$0.519330\pi$
$864$	−11.4222			−0.388591
$865$	−14.4085	+	18.0677i	−0.489904	+	0.614320i
$866$	−0.298290	+	1.30689i	−0.0101363	+	0.0444100i
$867$	17.2506	−	8.30746i	0.585862	−	0.282136i
$868$	6.30678	+	13.0962i	0.214066	+	0.444513i
$869$	43.4059	+	20.9032i	1.47244	+	0.709091i
$870$	8.87531	−	11.1293i	0.300901	−	0.377318i
$871$	−5.50873	−	2.65286i	−0.186656	−	0.0898889i
$872$	3.97530	−	17.4169i	0.134621	−	0.589812i
$873$	2.50484	−	1.20627i	0.0847761	−	0.0408260i
$874$	−0.313191	−	1.37218i	−0.0105939	−	0.0464147i
$875$	13.1244	+	27.2532i	0.443687	+	0.921326i
$876$	−1.15817	+	5.07427i	−0.0391309	+	0.171444i
$877$	4.26228	+	18.6743i	0.143927	+	0.630586i	0.994501	+	0.104730i	$0.0333977\pi$
$877$	4.26228	+	18.6743i	0.143927	+	0.630586i	−0.850574	+	0.525856i	$0.823745\pi$
$878$	−13.5360	−	16.9736i	−0.456818	−	0.572832i
$879$	−8.29052	−	36.3231i	−0.279632	−	1.22515i
$880$	−10.8007	−	5.20136i	−0.364093	−	0.175338i
$881$	−19.1588			−0.645478			−0.322739	−	0.946488i	$-0.604604\pi$
$881$	−19.1588			−0.645478			−0.322739	+	0.946488i	$0.604604\pi$
$882$	7.17121	+	3.45347i	0.241467	+	0.116284i
$883$	6.58450			0.221586			0.110793	−	0.993844i	$-0.464661\pi$
$883$	6.58450			0.221586			0.110793	+	0.993844i	$0.464661\pi$
$884$	−25.8753	−	12.4609i	−0.870281	−	0.419105i
$885$	−4.65668	−	20.4022i	−0.156533	−	0.685814i
$886$	−10.5767	−	13.2628i	−0.355332	−	0.445572i
$887$	−4.72750	−	20.7125i	−0.158734	−	0.695458i	−0.990174	−	0.139843i	$-0.955340\pi$
$887$	−4.72750	−	20.7125i	−0.158734	−	0.695458i	0.831440	−	0.555615i	$-0.187517\pi$
$888$	−1.86831	+	8.18562i	−0.0626965	+	0.274691i
$889$	33.5574	−	26.7611i	1.12548	−	0.897540i
$890$	−1.68114	−	7.36554i	−0.0563518	−	0.246893i
$891$	−36.4197	+	17.5388i	−1.22011	+	0.587572i
$892$	2.01855	−	8.84384i	0.0675860	−	0.296114i
$893$	−7.80343	−	3.75793i	−0.261132	−	0.125754i
$894$	0.900969	−	1.12978i	0.0301329	−	0.0377855i
$895$	−11.1734	−	5.38081i	−0.373484	−	0.179861i
$896$	−29.7600	−	6.79253i	−0.994213	−	0.226923i
$897$	−15.4351	+	7.43316i	−0.515364	+	0.248186i
$898$	−2.71499	+	11.8951i	−0.0906003	+	0.396946i
$899$	15.9928	−	20.0543i	0.533389	−	0.668848i
$900$	10.0949			0.336495
$901$	41.3357			1.37709
$902$	9.71379	−	12.1807i	0.323434	−	0.405573i
$903$	−12.3862	−	2.82707i	−0.412187	−	0.0940790i
$904$	−17.7066	−	22.2033i	−0.588911	−	0.738471i
$905$	−3.15668	−	3.95835i	−0.104932	−	0.131580i
$906$	−7.18329	+	3.45929i	−0.238649	+	0.114927i
$907$	44.8928	−	21.6192i	1.49064	−	0.717855i	0.501546	−	0.865131i	$-0.332765\pi$
$907$	44.8928	−	21.6192i	1.49064	−	0.717855i	0.989096	+	0.147275i	$0.0470504\pi$
$908$	−19.3173	−	24.2231i	−0.641067	−	0.803873i
$909$	−3.29172	−	4.12768i	−0.109179	−	0.136907i
$910$	−9.66948	+	7.71115i	−0.320540	+	0.255622i
$911$	−0.690825	+	0.866267i	−0.0228881	+	0.0287007i	−0.793144	−	0.609034i	$-0.791557\pi$
$911$	−0.690825	+	0.866267i	−0.0228881	+	0.0287007i	0.770256	+	0.637735i	$0.220129\pi$
$912$	9.78986			0.324175
$913$	17.7487			0.587397
$914$	0.0735400	−	0.0922162i	0.00243249	−	0.00305024i
$915$	−2.26659	+	9.93060i	−0.0749313	+	0.328295i
$916$	−9.61260	+	4.62919i	−0.317609	+	0.152953i
$917$	14.5621	−	30.2385i	0.480883	−	0.998563i
$918$	−3.11141	−	1.49838i	−0.102692	−	0.0494538i
$919$	−31.9761	+	40.0968i	−1.05480	+	1.32267i	−0.110390	+	0.993888i	$0.535210\pi$
$919$	−31.9761	+	40.0968i	−1.05480	+	1.32267i	−0.944405	+	0.328783i	$0.893362\pi$
$920$	−3.48911	−	1.68027i	−0.115033	−	0.0553968i
$921$	−2.44869	+	10.7284i	−0.0806871	+	0.353513i
$922$	12.7361	−	6.13338i	0.419441	−	0.201992i
$923$	7.89689	+	34.5986i	0.259929	+	1.13883i
$924$	−36.2068	+	8.26398i	−1.19112	+	0.271865i
$925$	−1.18167	+	5.17723i	−0.0388530	+	0.170226i
$926$	1.77814	+	7.79055i	0.0584334	+	0.256013i
$927$	−14.1494	−	17.7428i	−0.464729	−	0.582751i
$928$	9.39546	+	41.1642i	0.308421	+	1.35128i
$929$	−41.2928	−	19.8856i	−1.35477	−	0.652425i	−0.391309	−	0.920259i	$-0.627978\pi$
$929$	−41.2928	−	19.8856i	−1.35477	−	0.652425i	−0.963465	+	0.267834i	$0.913692\pi$
$930$	5.85086			0.191857
$931$	12.2289	+	5.88911i	0.400785	+	0.193008i
$932$	3.59047			0.117610
$933$	16.5330	+	7.96185i	0.541265	+	0.260659i
$934$	−0.992467	−	4.34828i	−0.0324745	−	0.142280i
$935$	−9.68598	−	12.1458i	−0.316765	−	0.397211i
$936$	5.44528	+	23.8573i	0.177985	+	0.779801i
$937$	−10.4181	+	45.6448i	−0.340346	+	1.49115i	0.458000	+	0.888952i	$0.348566\pi$
$937$	−10.4181	+	45.6448i	−0.340346	+	1.49115i	−0.798346	+	0.602199i	$0.794291\pi$
$938$	−1.20410	−	0.960240i	−0.0393154	−	0.0313530i
$939$	15.6054	+	68.3716i	0.509262	+	2.23122i
$940$	−9.83997	+	4.73868i	−0.320944	+	0.154559i
$941$	12.0087	−	52.6137i	0.391473	−	1.71516i	−0.267991	−	0.963421i	$-0.586360\pi$
$941$	12.0087	−	52.6137i	0.391473	−	1.71516i	0.659465	−	0.751736i	$-0.270783\pi$
$942$	10.8753	+	5.23728i	0.354337	+	0.170640i
$943$	−6.20105	+	7.77587i	−0.201934	+	0.253217i
$944$	13.0477	+	6.28345i	0.424667	+	0.204509i
$945$	6.38793	−	5.09420i	0.207799	−	0.165714i
$946$	−3.94504	+	1.89983i	−0.128264	+	0.0617689i
$947$	−5.67523	+	24.8648i	−0.184420	+	0.807997i	0.795072	+	0.606515i	$0.207433\pi$
$947$	−5.67523	+	24.8648i	−0.184420	+	0.807997i	−0.979492	+	0.201482i	$0.935424\pi$
$948$	−30.9321	+	38.7876i	−1.00463	+	1.25976i
$949$	−7.97989			−0.259038
$950$	−3.13334			−0.101659
$951$	12.8847	−	16.1569i	0.417815	−	0.523924i
$952$	−12.3412	−	9.84175i	−0.399980	−	0.318973i
$953$	0.934821	+	1.17223i	0.0302818	+	0.0379722i	0.796742	−	0.604320i	$-0.206555\pi$
$953$	0.934821	+	1.17223i	0.0302818	+	0.0379722i	−0.766460	+	0.642292i	$0.777984\pi$
$954$	−10.0640	−	12.6198i	−0.325833	−	0.408582i
$955$	13.6978	−	6.59652i	0.443251	−	0.213459i
$956$	−5.79225	+	2.78940i	−0.187335	+	0.0902156i
$957$	40.8608	+	51.2379i	1.32084	+	1.65629i
$958$	4.43027	+	5.55539i	0.143136	+	0.179486i
$959$	6.27562	−	13.0315i	0.202650	−	0.420808i
$960$	3.09299	−	3.87849i	0.0998258	−	0.125178i
$961$	−20.4571			−0.659907
$962$	−5.89951			−0.190208
$963$	17.0601	−	21.3927i	0.549754	−	0.689370i
$964$	3.35540	−	14.7010i	0.108070	−	0.473487i
$965$	−7.22521	+	3.47948i	−0.232588	+	0.112008i
$966$	−4.20709	+	0.960240i	−0.135361	+	0.0308952i
$967$	−9.02930	−	4.34828i	−0.290363	−	0.139831i	0.283032	−	0.959110i	$-0.408660\pi$
$967$	−9.02930	−	4.34828i	−0.290363	−	0.139831i	−0.573395	+	0.819279i	$0.694374\pi$
$968$	−3.36108	+	4.21466i	−0.108029	+	0.135464i
$969$	11.4303	+	5.50453i	0.367193	+	0.176831i
$970$	−0.242135	+	1.06086i	−0.00777449	+	0.0340623i
$971$	22.5743	−	10.8712i	0.724445	−	0.348874i	−0.0350517	−	0.999385i	$-0.511160\pi$
$971$	22.5743	−	10.8712i	0.724445	−	0.348874i	0.759497	+	0.650511i	$0.225445\pi$
$972$	−6.84883	−	30.0067i	−0.219676	−	0.962465i
$973$		−	41.5365i		−	1.33160i
$974$	−1.14765	+	5.02820i	−0.0367732	+	0.161114i
$975$	8.48672	+	37.1828i	0.271793	+	1.19080i
$976$	−4.39493	−	5.51107i	−0.140678	−	0.176405i
$977$	2.77048	+	12.1383i	0.0886355	+	0.388337i	0.999714	−	0.0238944i	$-0.00760655\pi$
$977$	2.77048	+	12.1383i	0.0886355	+	0.388337i	−0.911079	+	0.412232i	$0.864749\pi$
$978$	0.993959	+	0.478666i	0.0317833	+	0.0153060i
$979$	34.7821			1.11164
$980$	15.4203	−	7.42605i	0.492585	−	0.237216i
$981$	17.8649			0.570381
$982$	−6.00604	−	2.89236i	−0.191660	−	0.0922988i
$983$	5.70357	+	24.9890i	0.181916	+	0.797025i	0.980718	+	0.195430i	$0.0626104\pi$
$983$	5.70357	+	24.9890i	0.181916	+	0.797025i	−0.798802	+	0.601594i	$0.794532\pi$
$984$	21.8267	+	27.3698i	0.695810	+	0.872518i
$985$	6.02930	+	26.4161i	0.192110	+	0.841687i
$986$	−2.84063	+	12.4456i	−0.0904642	+	0.396350i
$987$	−11.5218	+	23.9252i	−0.366742	+	0.761548i
$988$	4.25554	+	18.6448i	0.135387	+	0.593169i
$989$	2.51842	−	1.21281i	0.0800810	−	0.0385650i
$990$	−1.34990	+	5.91428i	−0.0429025	+	0.187968i
$991$	36.5655	+	17.6090i	1.16154	+	0.559368i	0.912481	−	0.409120i	$-0.134164\pi$
$991$	36.5655	+	17.6090i	1.16154	+	0.559368i	0.249060	+	0.968488i	$0.419878\pi$
$992$	−10.8204	+	13.5683i	−0.343547	+	0.430794i
$993$	−56.6752	−	27.2933i	−1.79853	−	0.866127i
$994$			8.93911i			0.283531i
$995$	−1.83028	+	0.881417i	−0.0580238	+	0.0279428i
$996$	−4.06704	+	17.8189i	−0.128869	+	0.564612i
$997$	−25.4190	+	31.8744i	−0.805028	+	1.00947i	0.194563	+	0.980890i	$0.437671\pi$
$997$	−25.4190	+	31.8744i	−0.805028	+	1.00947i	−0.999591	+	0.0285836i	$0.990900\pi$
$998$	21.4185			0.677990
$999$	3.89738			0.123308

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	49.2.e.a.29.1	yes	6
3.2	odd	2		441.2.u.a.127.1		6
4.3	odd	2		784.2.u.a.225.1		6
7.2	even	3		343.2.g.f.116.1		12
7.3	odd	6		343.2.g.e.30.1		12
7.4	even	3		343.2.g.f.30.1		12
7.5	odd	6		343.2.g.e.116.1		12
7.6	odd	2		343.2.e.a.197.1		6
49.4	even	21		343.2.g.f.275.1		12
49.13	odd	14		2401.2.a.a.1.2		3
49.22	even	7	inner	49.2.e.a.22.1	✓	6
49.23	even	21		343.2.g.f.263.1		12
49.26	odd	42		343.2.g.e.263.1		12
49.27	odd	14		343.2.e.a.148.1		6
49.36	even	7		2401.2.a.b.1.2		3
49.45	odd	42		343.2.g.e.275.1		12
147.71	odd	14		441.2.u.a.316.1		6
196.71	odd	14		784.2.u.a.561.1		6

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
49.2.e.a.22.1	✓	6	49.22	even	7	inner
49.2.e.a.29.1	yes	6	1.1	even	1	trivial
343.2.e.a.148.1		6	49.27	odd	14
343.2.e.a.197.1		6	7.6	odd	2
343.2.g.e.30.1		12	7.3	odd	6
343.2.g.e.116.1		12	7.5	odd	6
343.2.g.e.263.1		12	49.26	odd	42
343.2.g.e.275.1		12	49.45	odd	42
343.2.g.f.30.1		12	7.4	even	3
343.2.g.f.116.1		12	7.2	even	3
343.2.g.f.263.1		12	49.23	even	21
343.2.g.f.275.1		12	49.4	even	21
441.2.u.a.127.1		6	3.2	odd	2
441.2.u.a.316.1		6	147.71	odd	14
784.2.u.a.225.1		6	4.3	odd	2
784.2.u.a.561.1		6	196.71	odd	14
2401.2.a.a.1.2		3	49.13	odd	14
2401.2.a.b.1.2		3	49.36	even	7

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:	\( N \)	\(=\)	\( 49 = 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	49.e (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.500000 - 0.240787i) q^{2} +(-0.500000 - 2.19064i) q^{3} +(-1.05496 - 1.32288i) q^{4} +(0.321552 + 1.40881i) q^{5} +(-0.277479 + 1.21572i) q^{6} +(2.57942 + 0.588735i) q^{7} +(0.455927 + 1.99755i) q^{8} +(-1.84601 + 0.888992i) q^{9} +O(q^{10})\)	\(q+(-0.500000 - 0.240787i) q^{2} +(-0.500000 - 2.19064i) q^{3} +(-1.05496 - 1.32288i) q^{4} +(0.321552 + 1.40881i) q^{5} +(-0.277479 + 1.21572i) q^{6} +(2.57942 + 0.588735i) q^{7} +(0.455927 + 1.99755i) q^{8} +(-1.84601 + 0.888992i) q^{9} +(0.178448 - 0.781831i) q^{10} +(3.32640 + 1.60191i) q^{11} +(-2.37047 + 2.97247i) q^{12} +(-5.25182 - 2.52915i) q^{13} +(-1.14795 - 0.915458i) q^{14} +(2.92543 - 1.40881i) q^{15} +(-0.500000 + 2.19064i) q^{16} +(-1.81551 + 2.27658i) q^{17} +1.13706 q^{18} +1.93900 q^{19} +(1.52446 - 1.91161i) q^{20} -5.94495i q^{21} +(-1.27748 - 1.60191i) q^{22} +(0.815511 + 1.02262i) q^{23} +(4.14795 - 1.99755i) q^{24} +(2.62349 - 1.26341i) q^{25} +(2.01693 + 2.52915i) q^{26} +(-1.33244 - 1.67082i) q^{27} +(-1.94235 - 4.03334i) q^{28} +(-4.92543 + 6.17629i) q^{29} -1.80194 q^{30} -3.24698 q^{31} +(3.33244 - 4.17874i) q^{32} +(1.84601 - 8.08790i) q^{33} +(1.45593 - 0.701137i) q^{34} +3.82322i q^{35} +(3.12349 + 1.50419i) q^{36} +(-1.13706 + 1.42583i) q^{37} +(-0.969501 - 0.466887i) q^{38} +(-2.91454 + 12.7694i) q^{39} +(-2.66756 + 1.28463i) q^{40} +(1.69202 + 7.41323i) q^{41} +(-1.43147 + 2.97247i) q^{42} +(0.475541 - 2.08348i) q^{43} +(-1.39008 - 6.09035i) q^{44} +(-1.84601 - 2.31482i) q^{45} +(-0.161522 - 0.707674i) q^{46} +(-4.02446 - 1.93808i) q^{47} +5.04892 q^{48} +(6.30678 + 3.03719i) q^{49} -1.61596 q^{50} +(5.89493 + 2.83885i) q^{51} +(2.19471 + 9.61565i) q^{52} +(-8.85086 - 11.0986i) q^{53} +(0.263906 + 1.15625i) q^{54} +(-1.18718 + 5.20136i) q^{55} +5.42093i q^{56} +(-0.969501 - 4.24766i) q^{57} +(3.94989 - 1.90216i) q^{58} +(1.43416 - 6.28345i) q^{59} +(-4.94989 - 2.38374i) q^{60} +(-1.95593 + 2.45265i) q^{61} +(1.62349 + 0.781831i) q^{62} +(-5.28501 + 1.20627i) q^{63} +(1.37651 - 0.662892i) q^{64} +(1.87435 - 8.21208i) q^{65} +(-2.87047 + 3.59945i) q^{66} +1.04892 q^{67} +4.92692 q^{68} +(1.83244 - 2.29780i) q^{69} +(0.920583 - 1.91161i) q^{70} +(-3.79590 - 4.75990i) q^{71} +(-2.61745 - 3.28218i) q^{72} +(1.23341 - 0.593977i) q^{73} +(0.911854 - 0.439126i) q^{74} +(-4.07942 - 5.11543i) q^{75} +(-2.04556 - 2.56506i) q^{76} +(7.63706 + 6.09035i) q^{77} +(4.53199 - 5.68294i) q^{78} +13.0489 q^{79} -3.24698 q^{80} +(-6.82640 + 8.56003i) q^{81} +(0.939001 - 4.11403i) q^{82} +(4.33124 - 2.08582i) q^{83} +(-7.86443 + 6.27167i) q^{84} +(-3.79105 - 1.82567i) q^{85} +(-0.739447 + 0.927237i) q^{86} +(15.9928 + 7.70171i) q^{87} +(-1.68329 + 7.37499i) q^{88} +(8.48792 - 4.08757i) q^{89} +(0.365625 + 1.60191i) q^{90} +(-12.0576 - 9.61565i) q^{91} +(0.492467 - 2.15764i) q^{92} +(1.62349 + 7.11297i) q^{93} +(1.54556 + 1.93808i) q^{94} +(0.623490 + 2.73169i) q^{95} +(-10.8204 - 5.21081i) q^{96} -1.35690 q^{97} +(-2.42208 - 3.03719i) q^{98} -7.56465 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 6 q - 3 q^{2} - 3 q^{3} - 7 q^{4} + 6 q^{5} - 2 q^{6} + 7 q^{7} - q^{8} - 6 q^{9}+O(q^{10}) \) 6 * q - 3 * q^2 - 3 * q^3 - 7 * q^4 + 6 * q^5 - 2 * q^6 + 7 * q^7 - q^8 - 6 * q^9	\( 6 q - 3 q^{2} - 3 q^{3} - 7 q^{4} + 6 q^{5} - 2 q^{6} + 7 q^{7} - q^{8} - 6 q^{9} - 3 q^{10} + 2 q^{11} + 7 q^{14} + 4 q^{15} - 3 q^{16} + 4 q^{17} - 4 q^{18} - 8 q^{19} - 8 q^{22} - 10 q^{23} + 11 q^{24} + 11 q^{25} + 28 q^{26} - 9 q^{27} - 14 q^{28} - 16 q^{29} - 2 q^{30} - 10 q^{31} + 21 q^{32} + 6 q^{33} + 5 q^{34} + 14 q^{36} + 4 q^{37} + 4 q^{38} - 7 q^{39} - 15 q^{40} - 14 q^{42} + 12 q^{43} - 7 q^{44} - 6 q^{45} + 19 q^{46} - 15 q^{47} + 12 q^{48} + 7 q^{49} - 30 q^{50} + 12 q^{51} - 26 q^{53} + 8 q^{54} - 19 q^{55} + 4 q^{57} + q^{58} + 11 q^{59} - 7 q^{60} - 8 q^{61} + 5 q^{62} - 7 q^{63} + 13 q^{64} + 35 q^{65} - 3 q^{66} - 12 q^{67} - 28 q^{68} + 12 q^{69} + 14 q^{70} + 5 q^{71} + 8 q^{72} + 4 q^{73} - 2 q^{74} - 16 q^{75} + 28 q^{76} + 35 q^{77} - 7 q^{78} + 60 q^{79} - 10 q^{80} - 23 q^{81} - 14 q^{82} - 14 q^{83} - 14 q^{84} - 17 q^{85} - 20 q^{86} + 36 q^{87} + 16 q^{88} + 13 q^{89} + 10 q^{90} - 70 q^{91} + 28 q^{92} + 5 q^{93} - 31 q^{94} - q^{95} - 28 q^{96} + 21 q^{98} - 2 q^{99}+O(q^{100}) \) 6 * q - 3 * q^2 - 3 * q^3 - 7 * q^4 + 6 * q^5 - 2 * q^6 + 7 * q^7 - q^8 - 6 * q^9 - 3 * q^10 + 2 * q^11 + 7 * q^14 + 4 * q^15 - 3 * q^16 + 4 * q^17 - 4 * q^18 - 8 * q^19 - 8 * q^22 - 10 * q^23 + 11 * q^24 + 11 * q^25 + 28 * q^26 - 9 * q^27 - 14 * q^28 - 16 * q^29 - 2 * q^30 - 10 * q^31 + 21 * q^32 + 6 * q^33 + 5 * q^34 + 14 * q^36 + 4 * q^37 + 4 * q^38 - 7 * q^39 - 15 * q^40 - 14 * q^42 + 12 * q^43 - 7 * q^44 - 6 * q^45 + 19 * q^46 - 15 * q^47 + 12 * q^48 + 7 * q^49 - 30 * q^50 + 12 * q^51 - 26 * q^53 + 8 * q^54 - 19 * q^55 + 4 * q^57 + q^58 + 11 * q^59 - 7 * q^60 - 8 * q^61 + 5 * q^62 - 7 * q^63 + 13 * q^64 + 35 * q^65 - 3 * q^66 - 12 * q^67 - 28 * q^68 + 12 * q^69 + 14 * q^70 + 5 * q^71 + 8 * q^72 + 4 * q^73 - 2 * q^74 - 16 * q^75 + 28 * q^76 + 35 * q^77 - 7 * q^78 + 60 * q^79 - 10 * q^80 - 23 * q^81 - 14 * q^82 - 14 * q^83 - 14 * q^84 - 17 * q^85 - 20 * q^86 + 36 * q^87 + 16 * q^88 + 13 * q^89 + 10 * q^90 - 70 * q^91 + 28 * q^92 + 5 * q^93 - 31 * q^94 - q^95 - 28 * q^96 + 21 * q^98 - 2 * q^99

Introduction

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