LMFDB - Embedded newform 17.3.e.a.5.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [17,3,Mod(3,17)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(17, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([1]))

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("17.3");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 17 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	17.e (of order $16$, degree $8$, 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:	$0.463216449413$
Analytic rank:	$0$
Dimension:	$8$
Coefficient field:	$\Q(\zeta_{16})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} + 1 $ x^8 + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			5.1
Root			$-0.382683 + 0.923880i$ of defining polynomial
Character	$\chi$	$=$	17.5
Dual form			17.3.e.a.7.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.841487 - 2.03153i) q^{2} +(0.0897902 + 0.134381i) q^{3} +(-0.590587 + 0.590587i) q^{4} +(-1.04667 + 5.26197i) q^{5} +(0.197441 - 0.295491i) q^{6} +(1.21824 + 6.12453i) q^{7} +(-6.42935 - 2.66313i) q^{8} +(3.43416 - 8.29078i) q^{9} +O(q^{10})$	\(q+(-0.841487 - 2.03153i) q^{2} +(0.0897902 + 0.134381i) q^{3} +(-0.590587 + 0.590587i) q^{4} +(-1.04667 + 5.26197i) q^{5} +(0.197441 - 0.295491i) q^{6} +(1.21824 + 6.12453i) q^{7} +(-6.42935 - 2.66313i) q^{8} +(3.43416 - 8.29078i) q^{9} +(11.5706 - 2.30154i) q^{10} +(-12.1433 - 8.11392i) q^{11} +(-0.132392 - 0.0263345i) q^{12} +(4.79884 + 4.79884i) q^{13} +(11.4170 - 7.62861i) q^{14} +(-0.801088 + 0.331821i) q^{15} +18.6433i q^{16} +(6.50562 + 15.7060i) q^{17} -19.7328 q^{18} +(-9.56175 - 23.0841i) q^{19} +(-2.48950 - 3.72580i) q^{20} +(-0.713631 + 0.713631i) q^{21} +(-6.26521 + 31.4973i) q^{22} +(7.27639 - 10.8899i) q^{23} +(-0.219421 - 1.10310i) q^{24} +(-3.49585 - 1.44803i) q^{25} +(5.71082 - 13.7871i) q^{26} +(2.84909 - 0.566719i) q^{27} +(-4.33654 - 2.89759i) q^{28} +(32.3980 + 6.44436i) q^{29} +(1.34821 + 1.34821i) q^{30} +(-1.00960 + 0.674593i) q^{31} +(12.1570 - 5.03558i) q^{32} -2.36038i q^{33} +(26.4327 - 26.4327i) q^{34} -33.5022 q^{35} +(2.86826 + 6.92459i) q^{36} +(-25.8238 - 38.6481i) q^{37} +(-38.8500 + 38.8500i) q^{38} +(-0.213982 + 1.07576i) q^{39} +(20.7427 - 31.0437i) q^{40} +(6.13577 + 30.8466i) q^{41} +(2.05027 + 0.849251i) q^{42} +(-27.8948 + 67.3441i) q^{43} +(11.9637 - 2.37972i) q^{44} +(40.0314 + 26.7482i) q^{45} +(-28.2461 - 5.61851i) q^{46} +(-10.4882 - 10.4882i) q^{47} +(-2.50529 + 1.67398i) q^{48} +(9.24438 - 3.82915i) q^{49} +8.32041i q^{50} +(-1.52643 + 2.28447i) q^{51} -5.66826 q^{52} +(-1.97838 - 4.77624i) q^{53} +(-3.54878 - 5.31112i) q^{54} +(55.4053 - 55.4053i) q^{55} +(8.47786 - 42.6211i) q^{56} +(2.24350 - 3.35764i) q^{57} +(-14.1706 - 71.2404i) q^{58} +(26.1013 + 10.8115i) q^{59} +(0.277142 - 0.669081i) q^{60} +(-81.0541 + 16.1227i) q^{61} +(2.22002 + 1.48337i) q^{62} +(54.9608 + 10.9324i) q^{63} +(32.2713 + 32.2713i) q^{64} +(-30.2741 + 20.2285i) q^{65} +(-4.79518 + 1.98623i) q^{66} -44.5324i q^{67} +(-13.1179 - 5.43359i) q^{68} +2.11674 q^{69} +(28.1917 + 68.0607i) q^{70} +(32.1978 + 48.1875i) q^{71} +(-44.1588 + 44.1588i) q^{72} +(-0.262865 + 1.32151i) q^{73} +(-56.7843 + 84.9838i) q^{74} +(-0.119306 - 0.599792i) q^{75} +(19.2802 + 7.98612i) q^{76} +(34.9004 - 84.2570i) q^{77} +(2.36550 - 0.470527i) q^{78} +(-24.7128 - 16.5125i) q^{79} +(-98.1004 - 19.5134i) q^{80} +(-56.7774 - 56.7774i) q^{81} +(57.5026 - 38.4220i) q^{82} +(-62.2748 + 25.7951i) q^{83} -0.842922i q^{84} +(-89.4535 + 17.7934i) q^{85} +160.285 q^{86} +(2.04303 + 4.93230i) q^{87} +(56.4655 + 84.5065i) q^{88} +(90.1397 - 90.1397i) q^{89} +(20.6537 - 103.833i) q^{90} +(-23.5444 + 35.2368i) q^{91} +(2.13408 + 10.7288i) q^{92} +(-0.181304 - 0.0750988i) q^{93} +(-12.4814 + 30.1327i) q^{94} +(131.476 - 26.1522i) q^{95} +(1.76826 + 1.18151i) q^{96} +(-66.3366 - 13.1952i) q^{97} +(-15.5581 - 15.5581i) q^{98} +(-108.973 + 72.8134i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q - 8 q^{2} - 8 q^{3} + 16 q^{5} - 8 q^{6} + 8 q^{7} - 24 q^{8} - 16 q^{9}+O(q^{10}) $ 8 * q - 8 * q^2 - 8 * q^3 + 16 * q^5 - 8 * q^6 + 8 * q^7 - 24 * q^8 - 16 * q^9	\( 8 q - 8 q^{2} - 8 q^{3} + 16 q^{5} - 8 q^{6} + 8 q^{7} - 24 q^{8} - 16 q^{9} + 16 q^{10} - 8 q^{11} + 48 q^{12} + 16 q^{13} + 8 q^{14} - 16 q^{15} + 56 q^{18} - 80 q^{20} - 64 q^{21} - 104 q^{22} - 56 q^{23} - 80 q^{24} + 64 q^{25} + 176 q^{26} + 40 q^{27} + 152 q^{28} + 48 q^{29} + 16 q^{30} + 24 q^{31} + 88 q^{32} - 136 q^{34} - 160 q^{35} - 128 q^{36} + 32 q^{37} - 120 q^{38} + 48 q^{39} + 64 q^{40} + 48 q^{41} + 16 q^{42} - 232 q^{43} + 120 q^{44} - 88 q^{46} + 192 q^{47} + 136 q^{48} + 16 q^{49} + 136 q^{51} - 384 q^{52} - 32 q^{53} + 8 q^{54} + 224 q^{55} - 120 q^{56} + 24 q^{57} + 240 q^{58} - 48 q^{59} + 64 q^{60} - 160 q^{61} - 168 q^{62} + 56 q^{63} - 64 q^{64} - 96 q^{65} - 8 q^{66} + 272 q^{68} + 240 q^{69} + 224 q^{70} + 40 q^{71} + 40 q^{72} + 48 q^{73} - 160 q^{74} - 296 q^{75} + 80 q^{76} - 48 q^{77} - 400 q^{78} - 136 q^{79} - 240 q^{80} - 424 q^{81} - 64 q^{82} - 264 q^{83} - 272 q^{85} + 832 q^{86} + 208 q^{87} + 264 q^{88} + 160 q^{89} + 448 q^{90} + 320 q^{91} + 24 q^{92} - 64 q^{93} + 32 q^{94} + 272 q^{95} - 56 q^{96} + 48 q^{97} - 120 q^{98} - 224 q^{99}+O(q^{100}) \) 8 * q - 8 * q^2 - 8 * q^3 + 16 * q^5 - 8 * q^6 + 8 * q^7 - 24 * q^8 - 16 * q^9 + 16 * q^10 - 8 * q^11 + 48 * q^12 + 16 * q^13 + 8 * q^14 - 16 * q^15 + 56 * q^18 - 80 * q^20 - 64 * q^21 - 104 * q^22 - 56 * q^23 - 80 * q^24 + 64 * q^25 + 176 * q^26 + 40 * q^27 + 152 * q^28 + 48 * q^29 + 16 * q^30 + 24 * q^31 + 88 * q^32 - 136 * q^34 - 160 * q^35 - 128 * q^36 + 32 * q^37 - 120 * q^38 + 48 * q^39 + 64 * q^40 + 48 * q^41 + 16 * q^42 - 232 * q^43 + 120 * q^44 - 88 * q^46 + 192 * q^47 + 136 * q^48 + 16 * q^49 + 136 * q^51 - 384 * q^52 - 32 * q^53 + 8 * q^54 + 224 * q^55 - 120 * q^56 + 24 * q^57 + 240 * q^58 - 48 * q^59 + 64 * q^60 - 160 * q^61 - 168 * q^62 + 56 * q^63 - 64 * q^64 - 96 * q^65 - 8 * q^66 + 272 * q^68 + 240 * q^69 + 224 * q^70 + 40 * q^71 + 40 * q^72 + 48 * q^73 - 160 * q^74 - 296 * q^75 + 80 * q^76 - 48 * q^77 - 400 * q^78 - 136 * q^79 - 240 * q^80 - 424 * q^81 - 64 * q^82 - 264 * q^83 - 272 * q^85 + 832 * q^86 + 208 * q^87 + 264 * q^88 + 160 * q^89 + 448 * q^90 + 320 * q^91 + 24 * q^92 - 64 * q^93 + 32 * q^94 + 272 * q^95 - 56 * q^96 + 48 * q^97 - 120 * q^98 - 224 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/17\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{5}{16}\right)$

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 $

$2$	−0.841487	−	2.03153i	−0.420744	−	1.01577i	−0.982129	−	0.188210i	$-0.939731\pi$
$2$	−0.841487	−	2.03153i	−0.420744	−	1.01577i	0.561385	−	0.827555i	$-0.310269\pi$
$3$	0.0897902	+	0.134381i	0.0299301	+	0.0447935i	0.846133	−	0.532972i	$-0.178925\pi$
$3$	0.0897902	+	0.134381i	0.0299301	+	0.0447935i	−0.816203	+	0.577765i	$0.803925\pi$
$4$	−0.590587	+	0.590587i	−0.147647	+	0.147647i
$5$	−1.04667	+	5.26197i	−0.209334	+	1.05239i	0.723014	+	0.690833i	$0.242756\pi$
$5$	−1.04667	+	5.26197i	−0.209334	+	1.05239i	−0.932348	+	0.361561i	$0.882244\pi$
$6$	0.197441	−	0.295491i	0.0329068	−	0.0492485i
$7$	1.21824	+	6.12453i	0.174035	+	0.874933i	0.964835	+	0.262858i	$0.0846649\pi$
$7$	1.21824	+	6.12453i	0.174035	+	0.874933i	−0.790800	+	0.612075i	$0.790335\pi$
$8$	−6.42935	−	2.66313i	−0.803669	−	0.332891i
$9$	3.43416	−	8.29078i	0.381573	−	0.921198i
$10$	11.5706	−	2.30154i	1.15706	−	0.230154i
$11$	−12.1433	−	8.11392i	−1.10394	−	0.737629i	−0.136478	−	0.990643i	$-0.543578\pi$
$11$	−12.1433	−	8.11392i	−1.10394	−	0.737629i	−0.967463	+	0.253014i	$0.918578\pi$
$12$	−0.132392	−	0.0263345i	−0.0110327	−	0.00219454i
$13$	4.79884	+	4.79884i	0.369141	+	0.369141i	0.867164	−	0.498023i	$-0.165940\pi$
$13$	4.79884	+	4.79884i	0.369141	+	0.369141i	−0.498023	+	0.867164i	$0.665940\pi$
$14$	11.4170	−	7.62861i	0.815502	−	0.544901i
$15$	−0.801088	+	0.331821i	−0.0534058	+	0.0221214i
$16$			18.6433i			1.16520i
$17$	6.50562	+	15.7060i	0.382683	+	0.923880i
$17$	6.50562	+	15.7060i	0.382683	+	0.923880i
$18$	−19.7328			−1.09627
$19$	−9.56175	−	23.0841i	−0.503250	−	1.21495i	−0.947704	−	0.319151i	$-0.896602\pi$
$19$	−9.56175	−	23.0841i	−0.503250	−	1.21495i	0.444454	−	0.895802i	$-0.353398\pi$
$20$	−2.48950	−	3.72580i	−0.124475	−	0.186290i
$21$	−0.713631	+	0.713631i	−0.0339824	+	0.0339824i
$22$	−6.26521	+	31.4973i	−0.284782	+	1.43170i
$23$	7.27639	−	10.8899i	0.316365	−	0.473474i	−0.638873	−	0.769312i	$-0.720599\pi$
$23$	7.27639	−	10.8899i	0.316365	−	0.473474i	0.955238	+	0.295839i	$0.0955991\pi$
$24$	−0.219421	−	1.10310i	−0.00914253	−	0.0459626i
$25$	−3.49585	−	1.44803i	−0.139834	−	0.0579211i
$26$	5.71082	−	13.7871i	0.219647	−	0.530274i
$27$	2.84909	−	0.566719i	0.105522	−	0.0209896i
$28$	−4.33654	−	2.89759i	−0.154877	−	0.103485i
$29$	32.3980	+	6.44436i	1.11717	+	0.222219i	0.718945	−	0.695067i	$-0.244625\pi$
$29$	32.3980	+	6.44436i	1.11717	+	0.222219i	0.398228	+	0.917287i	$0.369625\pi$
$30$	1.34821	+	1.34821i	0.0449403	+	0.0449403i
$31$	−1.00960	+	0.674593i	−0.0325678	+	0.0217611i	−0.571748	−	0.820430i	$-0.693734\pi$
$31$	−1.00960	+	0.674593i	−0.0325678	+	0.0217611i	0.539180	+	0.842191i	$0.318734\pi$
$32$	12.1570	−	5.03558i	0.379905	−	0.157362i
$33$		−	2.36038i		−	0.0715267i
$34$	26.4327	−	26.4327i	0.777433	−	0.777433i
$35$	−33.5022			−0.957206
$36$	2.86826	+	6.92459i	0.0796739	+	0.192350i
$37$	−25.8238	−	38.6481i	−0.697941	−	1.04454i	−0.995944	−	0.0899781i	$-0.971320\pi$
$37$	−25.8238	−	38.6481i	−0.697941	−	1.04454i	0.298002	−	0.954565i	$-0.403680\pi$
$38$	−38.8500	+	38.8500i	−1.02237	+	1.02237i
$39$	−0.213982	+	1.07576i	−0.00548671	+	0.0275836i
$40$	20.7427	−	31.0437i	0.518568	−	0.776092i
$41$	6.13577	+	30.8466i	0.149653	+	0.752356i	0.980602	+	0.196008i	$0.0627979\pi$
$41$	6.13577	+	30.8466i	0.149653	+	0.752356i	−0.830949	+	0.556348i	$0.812202\pi$
$42$	2.05027	+	0.849251i	0.0488161	+	0.0202203i
$43$	−27.8948	+	67.3441i	−0.648717	+	1.56614i	0.165901	+	0.986142i	$0.446947\pi$
$43$	−27.8948	+	67.3441i	−0.648717	+	1.56614i	−0.814617	+	0.579999i	$0.803053\pi$
$44$	11.9637	−	2.37972i	0.271902	−	0.0540846i
$45$	40.0314	+	26.7482i	0.889588	+	0.594403i
$46$	−28.2461	−	5.61851i	−0.614047	−	0.122141i
$47$	−10.4882	−	10.4882i	−0.223153	−	0.223153i	0.586672	−	0.809825i	$-0.300438\pi$
$47$	−10.4882	−	10.4882i	−0.223153	−	0.223153i	−0.809825	+	0.586672i	$0.800438\pi$
$48$	−2.50529	+	1.67398i	−0.0521936	+	0.0348747i
$49$	9.24438	−	3.82915i	0.188661	−	0.0781458i
$50$			8.32041i			0.166408i
$51$	−1.52643	+	2.28447i	−0.0299301	+	0.0447935i
$52$	−5.66826			−0.109005
$53$	−1.97838	−	4.77624i	−0.0373280	−	0.0901178i	0.904116	−	0.427287i	$-0.140531\pi$
$53$	−1.97838	−	4.77624i	−0.0373280	−	0.0901178i	−0.941444	+	0.337169i	$0.890531\pi$
$54$	−3.54878	−	5.31112i	−0.0657181	−	0.0983541i
$55$	55.4053	−	55.4053i	1.00737	−	1.00737i
$56$	8.47786	−	42.6211i	0.151390	−	0.761091i
$57$	2.24350	−	3.35764i	0.0393597	−	0.0589059i
$58$	−14.1706	−	71.2404i	−0.244321	−	1.22828i
$59$	26.1013	+	10.8115i	0.442394	+	0.183246i	0.592751	−	0.805386i	$-0.298042\pi$
$59$	26.1013	+	10.8115i	0.442394	+	0.183246i	−0.150356	+	0.988632i	$0.548042\pi$
$60$	0.277142	−	0.669081i	0.00461904	−	0.0111513i
$61$	−81.0541	+	16.1227i	−1.32876	+	0.264306i	−0.807891	−	0.589332i	$-0.799391\pi$
$61$	−81.0541	+	16.1227i	−1.32876	+	0.264306i	−0.520866	+	0.853639i	$0.674391\pi$
$62$	2.22002	+	1.48337i	0.0358068	+	0.0239254i
$63$	54.9608	+	10.9324i	0.872393	+	0.173530i
$64$	32.2713	+	32.2713i	0.504239	+	0.504239i
$65$	−30.2741	+	20.2285i	−0.465756	+	0.311208i
$66$	−4.79518	+	1.98623i	−0.0726543	+	0.0300944i
$67$		−	44.5324i		−	0.664663i	−0.943163	−	0.332332i	$-0.892165\pi$
$67$		−	44.5324i		−	0.664663i	0.943163	−	0.332332i	$-0.107835\pi$
$68$	−13.1179	−	5.43359i	−0.192910	−	0.0799058i
$69$	2.11674			0.0306774
$70$	28.1917	+	68.0607i	0.402738	+	0.972296i
$71$	32.1978	+	48.1875i	0.453491	+	0.678697i	0.985813	−	0.167845i	$-0.0536807\pi$
$71$	32.1978	+	48.1875i	0.453491	+	0.678697i	−0.532323	+	0.846541i	$0.678681\pi$
$72$	−44.1588	+	44.1588i	−0.613317	+	0.613317i
$73$	−0.262865	+	1.32151i	−0.00360089	+	0.0181029i	−0.982544	−	0.186031i	$-0.940438\pi$
$73$	−0.262865	+	1.32151i	−0.00360089	+	0.0181029i	0.978943	+	0.204133i	$0.0654377\pi$
$74$	−56.7843	+	84.9838i	−0.767356	+	1.14843i
$75$	−0.119306	−	0.599792i	−0.00159075	−	0.00799723i
$76$	19.2802	+	7.98612i	0.253687	+	0.105081i
$77$	34.9004	−	84.2570i	0.453252	−	1.09425i
$78$	2.36550	−	0.470527i	0.0303269	−	0.00603240i
$79$	−24.7128	−	16.5125i	−0.312820	−	0.209020i	0.389242	−	0.921136i	$-0.372737\pi$
$79$	−24.7128	−	16.5125i	−0.312820	−	0.209020i	−0.702062	+	0.712116i	$0.747737\pi$
$80$	−98.1004	−	19.5134i	−1.22626	−	0.243917i
$81$	−56.7774	−	56.7774i	−0.700956	−	0.700956i
$82$	57.5026	−	38.4220i	0.701252	−	0.468561i
$83$	−62.2748	+	25.7951i	−0.750298	+	0.310784i	−0.724863	−	0.688893i	$-0.758097\pi$
$83$	−62.2748	+	25.7951i	−0.750298	+	0.310784i	−0.0254351	+	0.999676i	$0.508097\pi$
$84$		−	0.842922i		−	0.0100348i
$85$	−89.4535	+	17.7934i	−1.05239	+	0.209334i
$86$	160.285			1.86377
$87$	2.04303	+	4.93230i	0.0234831	+	0.0566931i
$88$	56.4655	+	84.5065i	0.641653	+	0.960302i
$89$	90.1397	−	90.1397i	1.01281	−	1.01281i	0.0128890	−	0.999917i	$-0.495897\pi$
$89$	90.1397	−	90.1397i	1.01281	−	1.01281i	0.999917	−	0.0128890i	$-0.00410281\pi$
$90$	20.6537	−	103.833i	0.229486	−	1.15370i
$91$	−23.5444	+	35.2368i	−0.258730	+	0.387217i
$92$	2.13408	+	10.7288i	0.0231966	+	0.116617i
$93$	−0.181304	−	0.0750988i	−0.00194951	−	0.000807514i
$94$	−12.4814	+	30.1327i	−0.132781	+	0.320561i
$95$	131.476	−	26.1522i	1.38396	−	0.275286i
$96$	1.76826	+	1.18151i	0.0184194	+	0.0123074i
$97$	−66.3366	−	13.1952i	−0.683882	−	0.136033i	−0.159091	−	0.987264i	$-0.550856\pi$
$97$	−66.3366	−	13.1952i	−0.683882	−	0.136033i	−0.524791	+	0.851231i	$0.675856\pi$
$98$	−15.5581	−	15.5581i	−0.158756	−	0.158756i
$99$	−108.973	+	72.8134i	−1.10074	+	0.735489i
$100$	2.91979	−	1.20941i	0.0291979	−	0.0120941i
$101$		−	34.6405i		−	0.342975i	−0.985186	−	0.171488i	$-0.945143\pi$
$101$		−	34.6405i		−	0.342975i	0.985186	−	0.171488i	$-0.0548573\pi$
$102$	5.92544	+	1.17864i	0.0580926	+	0.0115553i
$103$	151.166			1.46763			0.733817	−	0.679347i	$-0.237737\pi$
$103$	151.166			1.46763			0.733817	+	0.679347i	$0.237737\pi$
$104$	−18.0735	−	43.6333i	−0.173784	−	0.419551i
$105$	−3.00817	−	4.50204i	−0.0286492	−	0.0428766i
$106$	−8.03830	+	8.03830i	−0.0758330	+	0.0758330i
$107$	−1.86075	+	9.35463i	−0.0173902	+	0.0874264i	−0.988506	−	0.151183i	$-0.951692\pi$
$107$	−1.86075	+	9.35463i	−0.0173902	+	0.0874264i	0.971116	+	0.238610i	$0.0766917\pi$
$108$	−1.34794	+	2.01733i	−0.0124809	+	0.0186790i
$109$	22.6951	+	114.096i	0.208212	+	1.04675i	0.933574	+	0.358385i	$0.116673\pi$
$109$	22.6951	+	114.096i	0.208212	+	1.04675i	−0.725362	+	0.688368i	$0.758327\pi$
$110$	−159.180	−	65.9347i	−1.44710	−	0.599406i
$111$	2.87483	−	6.94044i	0.0258993	−	0.0625265i
$112$	−114.181	+	22.7121i	−1.01948	+	0.202786i
$113$	−54.8360	−	36.6403i	−0.485274	−	0.324250i	0.288751	−	0.957404i	$-0.406760\pi$
$113$	−54.8360	−	36.6403i	−0.485274	−	0.324250i	−0.774026	+	0.633154i	$0.781760\pi$
$114$	−8.70902	−	1.73233i	−0.0763949	−	0.0151959i
$115$	49.6863	+	49.6863i	0.432055	+	0.432055i
$116$	−22.9398	+	15.3279i	−0.197757	+	0.132137i
$117$	56.2660	−	23.3062i	0.480906	−	0.199198i
$118$		−	62.1233i		−	0.526468i
$119$	−88.2661	+	58.9775i	−0.741732	+	0.495609i
$120$	6.03416			0.0502847
$121$	35.3203	+	85.2709i	0.291904	+	0.704718i
$122$	100.960	+	151.097i	0.827539	+	1.23850i
$123$	−3.59425	+	3.59425i	−0.0292216	+	0.0292216i
$124$	0.197851	−	0.994662i	0.00159557	−	0.00802147i
$125$	−63.2382	+	94.6427i	−0.505906	+	0.757141i
$126$	−24.0393	−	120.854i	−0.190788	−	0.959158i
$127$	88.2580	+	36.5576i	0.694945	+	0.287855i	0.702059	−	0.712119i	$-0.252264\pi$
$127$	88.2580	+	36.5576i	0.694945	+	0.287855i	−0.00711395	+	0.999975i	$0.502264\pi$
$128$	58.5465	−	141.344i	0.457395	−	1.10425i
$129$	−11.5544	+	2.29832i	−0.0895691	+	0.0178164i
$130$	66.5702	+	44.4808i	0.512078	+	0.342160i
$131$	42.0736	+	8.36897i	0.321173	+	0.0638852i	0.353044	−	0.935607i	$-0.385147\pi$
$131$	42.0736	+	8.36897i	0.321173	+	0.0638852i	−0.0318711	+	0.999492i	$0.510147\pi$
$132$	1.39401	+	1.39401i	0.0105607	+	0.0105607i
$133$	129.731	−	86.6833i	0.975419	−	0.651754i
$134$	−90.4690	+	37.4735i	−0.675142	+	0.279653i
$135$			15.5850i			0.115444i
$136$		−	118.304i		−	0.869885i
$137$	−63.8232			−0.465863			−0.232931	−	0.972493i	$-0.574832\pi$
$137$	−63.8232			−0.465863			−0.232931	+	0.972493i	$0.574832\pi$
$138$	−1.78121	−	4.30022i	−0.0129073	−	0.0311610i
$139$	−145.186	−	217.286i	−1.04450	−	1.56321i	−0.805868	−	0.592095i	$-0.798301\pi$
$139$	−145.186	−	217.286i	−1.04450	−	1.56321i	−0.238632	−	0.971110i	$-0.576699\pi$
$140$	19.7860	−	19.7860i	0.141328	−	0.141328i
$141$	0.467671	−	2.35114i	0.00331682	−	0.0166748i
$142$	70.8002	−	105.960i	0.498593	−	0.746197i
$143$	−19.3365	−	97.2113i	−0.135220	−	0.679799i
$144$	154.567	+	64.0239i	1.07338	+	0.444610i
$145$	−67.8201	+	163.732i	−0.467725	+	1.12919i
$146$	2.90589	−	0.578017i	0.0199033	−	0.00395902i
$147$	1.34462	+	0.898445i	0.00914706	+	0.00611187i
$148$	38.0763	+	7.57384i	0.257272	+	0.0511746i
$149$	−83.6010	−	83.6010i	−0.561080	−	0.561080i	0.368534	−	0.929614i	$-0.379860\pi$
$149$	−83.6010	−	83.6010i	−0.561080	−	0.561080i	−0.929614	+	0.368534i	$0.879860\pi$
$150$	−1.11810	+	0.747092i	−0.00745401	+	0.00498061i
$151$	25.5851	−	10.5977i	0.169437	−	0.0701833i	−0.296352	−	0.955079i	$-0.595770\pi$
$151$	25.5851	−	10.5977i	0.169437	−	0.0701833i	0.465790	+	0.884895i	$0.345770\pi$
$152$			173.880i			1.14395i
$153$	152.556			0.997098
$154$	−200.539			−1.30220
$155$	−2.49297	−	6.01857i	−0.0160837	−	0.0388295i
$156$	−0.508954	−	0.761703i	−0.00326252	−	0.00488271i
$157$	−55.8958	+	55.8958i	−0.356024	+	0.356024i	−0.862345	−	0.506321i	$-0.831005\pi$
$157$	−55.8958	+	55.8958i	−0.356024	+	0.356024i	0.506321	+	0.862345i	$0.331005\pi$
$158$	−12.7503	+	64.0998i	−0.0806978	+	0.405695i
$159$	0.464195	−	0.694716i	0.00291946	−	0.00436929i
$160$	13.7727	+	69.2402i	0.0860796	+	0.432751i
$161$	75.5599	+	31.2979i	0.469316	+	0.194397i
$162$	−67.5676	+	163.123i	−0.417084	+	1.00693i
$163$	−54.4489	+	10.8306i	−0.334042	+	0.0664451i	−0.359262	−	0.933237i	$-0.616971\pi$
$163$	−54.4489	+	10.8306i	−0.334042	+	0.0664451i	0.0252196	+	0.999682i	$0.491971\pi$
$164$	−21.8413	−	14.5939i	−0.133179	−	0.0889871i
$165$	12.4203	+	2.47054i	0.0752743	+	0.0149730i
$166$	104.807	+	104.807i	0.631367	+	0.631367i
$167$	−42.9537	+	28.7008i	−0.257208	+	0.171861i	−0.677489	−	0.735533i	$-0.736932\pi$
$167$	−42.9537	+	28.7008i	−0.257208	+	0.171861i	0.420281	+	0.907394i	$0.361932\pi$
$168$	6.48868	−	2.68770i	0.0386231	−	0.0159982i
$169$		−	122.942i		−	0.727470i
$170$	111.422	+	166.755i	0.655423	+	0.980910i
$171$	−224.222			−1.31124
$172$	−23.2982	−	56.2468i	−0.135455	−	0.327016i
$173$	−10.2620	−	15.3581i	−0.0593178	−	0.0887754i	0.800625	−	0.599166i	$-0.204501\pi$
$173$	−10.2620	−	15.3581i	−0.0593178	−	0.0887754i	−0.859943	+	0.510390i	$0.829501\pi$
$174$	8.30094	−	8.30094i	0.0477066	−	0.0477066i
$175$	4.60969	−	23.1745i	0.0263411	−	0.132425i
$176$	151.270	−	226.392i	0.859489	−	1.28632i
$177$	0.890783	+	4.47827i	0.00503267	+	0.0253010i
$178$	−258.973	−	107.270i	−1.45490	−	0.602641i
$179$	23.9825	−	57.8989i	0.133980	−	0.323457i	−0.842624	−	0.538503i	$-0.818990\pi$
$179$	23.9825	−	57.8989i	0.133980	−	0.323457i	0.976604	+	0.215046i	$0.0689900\pi$
$180$	−39.4391	+	7.84493i	−0.219106	+	0.0435830i
$181$	86.9711	+	58.1122i	0.480503	+	0.321062i	0.772124	−	0.635472i	$-0.219194\pi$
$181$	86.9711	+	58.1122i	0.480503	+	0.321062i	−0.291621	+	0.956534i	$0.594194\pi$
$182$	91.3969	+	18.1800i	0.502181	+	0.0998899i
$183$	−9.44444	−	9.44444i	−0.0516090	−	0.0516090i
$184$	−75.7837	+	50.6370i	−0.411868	+	0.275201i
$185$	230.394	−	95.4324i	1.24537	−	0.515851i
$186$			0.431520i			0.00232000i
$187$	48.4369	−	243.509i	0.259021	−	1.30219i
$188$	12.3883			0.0658954
$189$	6.94177	+	16.7589i	0.0367289	+	0.0886715i
$190$	−163.764	−	245.091i	−0.861917	−	1.28995i
$191$	−137.930	+	137.930i	−0.722145	+	0.722145i	−0.969042	−	0.246897i	$-0.920589\pi$
$191$	−137.930	+	137.930i	−0.722145	+	0.722145i	0.246897	+	0.969042i	$0.420589\pi$
$192$	−1.43899	+	7.23428i	−0.00749473	+	0.0376785i
$193$	49.1142	−	73.5045i	0.254478	−	0.380853i	−0.682131	−	0.731230i	$-0.738947\pi$
$193$	49.1142	−	73.5045i	0.254478	−	0.380853i	0.936609	+	0.350377i	$0.113947\pi$
$194$	29.0150	+	145.868i	0.149562	+	0.751899i
$195$	−5.43664	−	2.25193i	−0.0278802	−	0.0115484i
$196$	−3.19816	+	7.72105i	−0.0163172	+	0.0393931i
$197$	252.430	−	50.2114i	1.28137	−	0.254880i	0.492972	−	0.870045i	$-0.335911\pi$
$197$	252.430	−	50.2114i	1.28137	−	0.254880i	0.788398	+	0.615165i	$0.210911\pi$
$198$	239.622	+	160.110i	1.21021	+	0.808637i
$199$	223.079	+	44.3732i	1.12100	+	0.222981i	0.720594	−	0.693357i	$-0.243869\pi$
$199$	223.079	+	44.3732i	1.12100	+	0.222981i	0.400406	+	0.916338i	$0.368869\pi$
$200$	18.6198	+	18.6198i	0.0930988	+	0.0930988i
$201$	5.98429	−	3.99858i	0.0297726	−	0.0198934i
$202$	−70.3732	+	29.1495i	−0.348382	+	0.144305i
$203$			206.273i			1.01612i
$204$	−0.447686	−	2.25067i	−0.00219454	−	0.0110327i
$205$	−168.736			−0.823103
$206$	−127.204	−	307.099i	−0.617498	−	1.49077i
$207$	−65.2975	−	97.7246i	−0.315447	−	0.472100i
$208$	−89.4660	+	89.4660i	−0.430125	+	0.430125i
$209$	−71.1910	+	357.901i	−0.340627	+	1.71245i
$210$	−6.61470	+	9.89960i	−0.0314986	+	0.0471410i
$211$	1.57784	+	7.93236i	0.00747794	+	0.0375941i	0.984344	−	0.176257i	$-0.0563991\pi$
$211$	1.57784	+	7.93236i	0.00747794	+	0.0375941i	−0.976866	+	0.213852i	$0.931399\pi$
$212$	3.98919	+	1.65238i	0.0188169	+	0.00779423i
$213$	−3.58441	+	8.65353i	−0.0168282	+	0.0406269i
$214$	20.5700	−	4.09163i	0.0961215	−	0.0191198i
$215$	−325.166	−	217.269i	−1.51240	−	1.01055i
$216$	−19.8270	−	3.94384i	−0.0917918	−	0.0182585i
$217$	−5.36151	−	5.36151i	−0.0247074	−	0.0247074i
$218$	212.692	−	142.116i	0.975651	−	0.651909i
$219$	−0.201188	+	0.0833348i	−0.000918667	+	0.000380524i
$220$			65.4433i			0.297469i
$221$	−44.1509	+	106.590i	−0.199778	+	0.482306i
$222$	−16.5188			−0.0744092
$223$	18.7769	+	45.3315i	0.0842014	+	0.203280i	0.960372	−	0.278720i	$-0.0899103\pi$
$223$	18.7769	+	45.3315i	0.0842014	+	0.203280i	−0.876171	+	0.482001i	$0.839910\pi$
$224$	45.6507	+	68.3211i	0.203798	+	0.305005i
$225$	−24.0106	+	24.0106i	−0.106714	+	0.106714i
$226$	−28.2920	+	142.233i	−0.125186	+	0.629351i
$227$	−93.3694	+	139.737i	−0.411319	+	0.615582i	−0.978062	−	0.208312i	$-0.933203\pi$
$227$	−93.3694	+	139.737i	−0.411319	+	0.615582i	0.566743	+	0.823894i	$0.308203\pi$
$228$	0.657994	+	3.30796i	0.00288594	+	0.0145086i
$229$	114.723	+	47.5197i	0.500972	+	0.207510i	0.618836	−	0.785520i	$-0.287605\pi$
$229$	114.723	+	47.5197i	0.500972	+	0.207510i	−0.117864	+	0.993030i	$0.537605\pi$
$230$	59.1289	−	142.750i	0.257082	−	0.620651i
$231$	14.4562	−	2.87552i	0.0625810	−	0.0124481i
$232$	−191.136	−	127.713i	−0.823863	−	0.550487i
$233$	−346.291	−	68.8815i	−1.48623	−	0.295629i	−0.615791	−	0.787910i	$-0.711163\pi$
$233$	−346.291	−	68.8815i	−1.48623	−	0.295629i	−0.870436	+	0.492281i	$0.836163\pi$
$234$	−94.6943	−	94.6943i	−0.404677	−	0.404677i
$235$	66.1661	−	44.2108i	0.281558	−	0.188131i
$236$	−21.8002	+	9.02993i	−0.0923737	+	0.0382624i
$237$		−	4.80358i		−	0.0202683i
$238$	194.089	+	129.686i	0.815502	+	0.544901i
$239$	206.527			0.864131			0.432066	−	0.901842i	$-0.357785\pi$
$239$	206.527			0.864131			0.432066	+	0.901842i	$0.357785\pi$
$240$	−6.18624	−	14.9349i	−0.0257760	−	0.0622287i
$241$	160.021	+	239.488i	0.663988	+	0.993728i	0.998678	+	0.0513996i	$0.0163682\pi$
$241$	160.021	+	239.488i	0.663988	+	0.993728i	−0.334691	+	0.942328i	$0.608632\pi$
$242$	143.509	−	143.509i	0.593011	−	0.593011i
$243$	7.63219	−	38.3696i	0.0314082	−	0.157900i
$244$	38.3477	−	57.3913i	0.157163	−	0.235210i
$245$	10.4730	+	52.6515i	0.0427471	+	0.214904i
$246$	10.3263	+	4.27731i	0.0419770	+	0.0173875i
$247$	64.8915	−	156.662i	0.262719	−	0.634259i
$248$	8.28761	−	1.64851i	0.0334178	−	0.00664721i
$249$	−9.05802	−	6.05237i	−0.0363776	−	0.0243067i
$250$	245.484	+	48.8297i	0.981935	+	0.195319i
$251$	191.096	+	191.096i	0.761337	+	0.761337i	0.976564	−	0.215227i	$-0.0690490\pi$
$251$	191.096	+	191.096i	0.761337	+	0.761337i	−0.215227	+	0.976564i	$0.569049\pi$
$252$	−38.9156	+	26.0026i	−0.154427	+	0.103185i
$253$	−176.720	+	73.1996i	−0.698496	+	0.289327i
$254$		−	210.062i		−	0.827014i
$255$	−10.4231	−	10.4231i	−0.0408751	−	0.0408751i
$256$	−153.856			−0.601002
$257$	−20.2061	−	48.7819i	−0.0786230	−	0.189813i	0.879680	−	0.475565i	$-0.157756\pi$
$257$	−20.2061	−	48.7819i	−0.0786230	−	0.189813i	−0.958303	+	0.285753i	$0.907756\pi$
$258$	14.3920	+	21.5391i	0.0557829	+	0.0834850i
$259$	205.242	−	205.242i	0.792439	−	0.792439i
$260$	5.93280	−	29.8262i	0.0228185	−	0.114716i
$261$	164.689	−	246.474i	0.630991	−	0.944345i
$262$	−18.4026	−	92.5162i	−0.0702390	−	0.353115i
$263$	−468.907	−	194.228i	−1.78292	−	0.738509i	−0.991947	−	0.126654i	$-0.959576\pi$
$263$	−468.907	−	194.228i	−1.78292	−	0.738509i	−0.790970	−	0.611854i	$-0.790424\pi$
$264$	−6.28599	+	15.1757i	−0.0238106	+	0.0574838i
$265$	27.2032	−	5.41105i	0.102654	−	0.0204191i
$266$	−285.266	−	190.609i	−1.07243	−	0.716575i
$267$	20.2067	+	4.01936i	0.0756805	+	0.0150538i
$268$	26.3003	+	26.3003i	0.0981353	+	0.0981353i
$269$	146.551	−	97.9225i	0.544801	−	0.364024i	−0.252509	−	0.967595i	$-0.581256\pi$
$269$	146.551	−	97.9225i	0.544801	−	0.364024i	0.797310	+	0.603570i	$0.206256\pi$
$270$	31.6614	−	13.1146i	0.117264	−	0.0485725i
$271$			464.255i			1.71312i	0.516050	+	0.856559i	$0.327402\pi$
$271$			464.255i			1.71312i	−0.516050	+	0.856559i	$0.672598\pi$
$272$	−292.810	+	121.286i	−1.07651	+	0.445905i
$273$	−6.84919			−0.0250886
$274$	53.7064	+	129.659i	0.196009	+	0.473207i
$275$	30.7021	+	45.9489i	0.111644	+	0.167087i
$276$	−1.25012	+	1.25012i	−0.00452941	+	0.00452941i
$277$	34.4498	−	173.191i	0.124368	−	0.625238i	−0.867445	−	0.497534i	$-0.834239\pi$
$277$	34.4498	−	173.191i	0.124368	−	0.625238i	0.991812	−	0.127704i	$-0.0407609\pi$
$278$	−319.250	+	477.792i	−1.14838	+	1.71868i
$279$	2.12578	+	10.6870i	0.00761930	+	0.0383048i
$280$	215.398	+	89.2206i	0.769277	+	0.318645i
$281$	152.875	−	369.073i	0.544040	−	1.31343i	−0.377811	−	0.925883i	$-0.623323\pi$
$281$	152.875	−	369.073i	0.544040	−	1.31343i	0.921851	−	0.387545i	$-0.126677\pi$
$282$	−5.16995	+	1.02837i	−0.0183332	+	0.00364669i
$283$	297.348	+	198.682i	1.05070	+	0.702055i	0.955975	−	0.293448i	$-0.0948029\pi$
$283$	297.348	+	198.682i	1.05070	+	0.702055i	0.0947249	+	0.995503i	$0.469803\pi$
$284$	−47.4745	−	9.44326i	−0.167164	−	0.0332509i
$285$	15.3196	+	15.3196i	0.0537530	+	0.0537530i
$286$	−181.216	+	121.085i	−0.633623	+	0.423373i
$287$	−181.446	+	75.1574i	−0.632216	+	0.261872i
$288$		−	118.084i		−	0.410013i
$289$	−204.354	+	204.354i	−0.707107	+	0.707107i
$290$	389.697			1.34378
$291$	−4.18320	−	10.0991i	−0.0143753	−	0.0347050i
$292$	−0.625222	−	0.935711i	−0.00214117	−	0.00320449i
$293$	−169.002	+	169.002i	−0.576800	+	0.576800i	−0.934020	−	0.357220i	$-0.883725\pi$
$293$	−169.002	+	169.002i	−0.576800	+	0.576800i	0.357220	+	0.934020i	$0.383725\pi$
$294$	0.693739	−	3.48766i	0.00235966	−	0.0118628i
$295$	−84.2093	+	126.028i	−0.285455	+	0.427214i
$296$	63.1058	+	317.254i	0.213195	+	1.07181i
$297$	−39.1958	−	16.2354i	−0.131972	−	0.0546647i
$298$	−99.4888	+	240.187i	−0.333855	+	0.805997i
$299$	87.1770	−	17.3406i	0.291562	−	0.0579953i
$300$	0.424690	+	0.283769i	0.00141563	+	0.000945896i
$301$	−446.433	−	88.8011i	−1.48317	−	0.295020i
$302$	−43.0590	−	43.0590i	−0.142579	−	0.142579i
$303$	4.65501	−	3.11038i	0.0153631	−	0.0102653i
$304$	430.363	−	178.262i	1.41567	−	0.586389i
$305$		−	443.380i		−	1.45370i
$306$	−128.374	−	309.922i	−0.419523	−	1.01282i
$307$	409.955			1.33536			0.667679	−	0.744450i	$-0.267288\pi$
$307$	409.955			1.33536			0.667679	+	0.744450i	$0.267288\pi$
$308$	29.1493	+	70.3727i	0.0946407	+	0.228483i
$309$	13.5733	+	20.3138i	0.0439264	+	0.0657405i
$310$	−10.1291	+	10.1291i	−0.0326745	+	0.0326745i
$311$	42.2576	−	212.443i	0.135877	−	0.683098i	−0.851455	−	0.524428i	$-0.824279\pi$
$311$	42.2576	−	212.443i	0.135877	−	0.683098i	0.987332	−	0.158670i	$-0.0507207\pi$
$312$	4.24064	−	6.34657i	0.0135918	−	0.0203416i
$313$	−92.3584	−	464.317i	−0.295075	−	1.48344i	−0.789246	−	0.614077i	$-0.789528\pi$
$313$	−92.3584	−	464.317i	−0.295075	−	1.48344i	0.494171	−	0.869365i	$-0.335472\pi$
$314$	160.590	+	66.5184i	0.511432	+	0.211842i
$315$	−115.052	+	277.759i	−0.365244	+	0.881776i
$316$	24.3471	−	4.84294i	0.0770479	−	0.0153258i
$317$	213.145	+	142.419i	0.672383	+	0.449272i	0.844322	−	0.535836i	$-0.180003\pi$
$317$	213.145	+	142.419i	0.672383	+	0.449272i	−0.171939	+	0.985108i	$0.555003\pi$
$318$	−1.80195	−	0.358430i	−0.00566651	−	0.00112714i
$319$	−341.131	−	341.131i	−1.06938	−	1.06938i
$320$	−203.588	+	136.033i	−0.636213	+	0.425104i
$321$	−1.42416	+	0.589905i	−0.00443663	+	0.00183771i
$322$		−	179.839i		−	0.558506i
$323$	300.353	−	300.353i	0.929884	−	0.929884i
$324$	67.0640			0.206988
$325$	−9.82715	−	23.7248i	−0.0302374	−	0.0729995i
$326$	67.8206	+	101.501i	0.208039	+	0.311352i
$327$	−13.2945	+	13.2945i	−0.0406560	+	0.0406560i
$328$	42.6993	−	214.664i	0.130181	−	0.654464i
$329$	51.4579	−	77.0122i	0.156407	−	0.234080i
$330$	−5.43251	−	27.3111i	−0.0164621	−	0.0827608i
$331$	208.580	+	86.3966i	0.630151	+	0.261017i	0.674817	−	0.737985i	$-0.264222\pi$
$331$	208.580	+	86.3966i	0.630151	+	0.261017i	−0.0446663	+	0.999002i	$0.514222\pi$
$332$	21.5444	−	52.0129i	0.0648929	−	0.156665i
$333$	−409.106	+	81.3763i	−1.22855	+	0.244373i
$334$	94.4515	+	63.1105i	0.282789	+	0.188954i
$335$	234.328	+	46.6108i	0.699488	+	0.139137i
$336$	−13.3044	−	13.3044i	−0.0395965	−	0.0395965i
$337$	−300.276	+	200.638i	−0.891027	+	0.595365i	−0.914601	−	0.404357i	$-0.867495\pi$
$337$	−300.276	+	200.638i	−0.891027	+	0.595365i	0.0235742	+	0.999722i	$0.492495\pi$
$338$	−249.761	+	103.454i	−0.738938	+	0.306078i
$339$		−	10.6588i		−	0.0314420i
$340$	42.3215	−	63.3386i	0.124475	−	0.186290i
$341$	17.7335			0.0520045
$342$	188.680	+	455.513i	0.551695	+	1.33191i
$343$	204.708	+	306.367i	0.596815	+	0.893197i
$344$	358.691	−	358.691i	1.04271	−	1.04271i
$345$	−2.21553	+	11.1382i	−0.00642183	+	0.0322847i
$346$	−22.5652	+	33.7712i	−0.0652173	+	0.0976046i
$347$	3.09377	+	15.5534i	0.00891575	+	0.0448225i	0.984987	−	0.172628i	$-0.0552259\pi$
$347$	3.09377	+	15.5534i	0.00891575	+	0.0448225i	−0.976071	+	0.217451i	$0.930226\pi$
$348$	−4.11954	−	1.70637i	−0.0118377	−	0.00490336i
$349$	−121.062	+	292.270i	−0.346883	+	0.837448i	0.650102	+	0.759847i	$0.274726\pi$
$349$	−121.062	+	292.270i	−0.346883	+	0.837448i	−0.996984	+	0.0776015i	$0.975274\pi$
$350$	−50.9586	+	10.1363i	−0.145596	+	0.0289608i
$351$	16.3919	+	10.9527i	0.0467005	+	0.0312043i
$352$	−188.484	−	37.4919i	−0.535467	−	0.106511i
$353$	191.613	+	191.613i	0.542812	+	0.542812i	0.924352	−	0.381540i	$-0.124606\pi$
$353$	191.613	+	191.613i	0.542812	+	0.542812i	−0.381540	+	0.924352i	$0.624606\pi$
$354$	8.34816	−	5.57806i	0.0235824	−	0.0157572i
$355$	−287.262	+	118.988i	−0.809188	+	0.335177i
$356$			106.471i			0.299075i
$357$	−15.8509	−	6.56564i	−0.0444002	−	0.0183912i
$358$	−137.804			−0.384928
$359$	60.5865	+	146.269i	0.168765	+	0.407434i	0.985522	−	0.169547i	$-0.0542305\pi$
$359$	60.5865	+	146.269i	0.168765	+	0.407434i	−0.816757	+	0.576981i	$0.804231\pi$
$360$	−186.143	−	278.582i	−0.517063	−	0.773839i
$361$	−186.183	+	186.183i	−0.515743	+	0.515743i
$362$	44.8717	−	225.585i	0.123955	−	0.623163i
$363$	−8.28732	+	12.4029i	−0.0228301	+	0.0341676i
$364$	−6.90532	−	34.7154i	−0.0189707	−	0.0953719i
$365$	−6.67862	−	2.76638i	−0.0182976	−	0.00757911i
$366$	−11.2393	+	27.1340i	−0.0307084	+	0.0741367i
$367$	−479.595	+	95.3974i	−1.30680	+	0.259938i	−0.798892	−	0.601474i	$-0.794580\pi$
$367$	−479.595	+	95.3974i	−1.30680	+	0.259938i	−0.507906	+	0.861413i	$0.669580\pi$
$368$	203.023	+	135.656i	0.551694	+	0.368630i
$369$	276.814	+	55.0617i	0.750173	+	0.149219i
$370$	−387.748	−	387.748i	−1.04797	−	1.04797i
$371$	26.8421	−	17.9353i	0.0723506	−	0.0483431i
$372$	0.151428	−	0.0627237i	0.000407065	−	0.000168612i
$373$		−	573.453i		−	1.53741i	−0.639605	−	0.768704i	$-0.720902\pi$
$373$		−	573.453i		−	1.53741i	0.639605	−	0.768704i	$-0.279098\pi$
$374$	−535.455	+	106.509i	−1.43170	+	0.284782i
$375$	−18.3963			−0.0490568
$376$	39.5008	+	95.3635i	0.105055	+	0.253626i
$377$	124.547	+	186.398i	0.330364	+	0.494425i
$378$	28.2048	−	28.2048i	0.0746159	−	0.0746159i
$379$	136.954	−	688.516i	0.361357	−	1.81666i	−0.189284	−	0.981922i	$-0.560617\pi$
$379$	136.954	−	688.516i	0.361357	−	1.81666i	0.550641	−	0.834742i	$-0.314383\pi$
$380$	−62.2028	+	93.0930i	−0.163692	+	0.244982i
$381$	3.01206	+	15.1427i	0.00790568	+	0.0397445i
$382$	396.274	+	164.142i	1.03737	+	0.429692i
$383$	−118.024	+	284.935i	−0.308157	+	0.743956i	0.691608	+	0.722273i	$0.256902\pi$
$383$	−118.024	+	284.935i	−0.308157	+	0.743956i	−0.999765	+	0.0216830i	$0.993098\pi$
$384$	24.2508	−	4.82378i	0.0631530	−	0.0125619i
$385$	406.829	+	271.834i	1.05670	+	0.706063i
$386$	−190.656	−	37.9238i	−0.493927	−	0.0982481i
$387$	462.540	+	462.540i	1.19519	+	1.19519i
$388$	46.9704	−	31.3846i	0.121058	−	0.0808882i
$389$	263.382	−	109.097i	0.677076	−	0.280454i	−0.0175282	−	0.999846i	$-0.505580\pi$
$389$	263.382	−	109.097i	0.677076	−	0.280454i	0.694604	+	0.719392i	$0.255580\pi$
$390$			12.9397i			0.0331787i
$391$	218.374	+	43.4372i	0.558500	+	0.111093i
$392$	−69.6329			−0.177635
$393$	2.65317	+	6.40533i	0.00675108	+	0.0162986i
$394$	−314.423	−	470.567i	−0.798027	−	1.19433i
$395$	112.755	−	112.755i	0.285455	−	0.285455i
$396$	21.3553	−	107.361i	0.0539276	−	0.271112i
$397$	69.0841	−	103.392i	0.174015	−	0.260432i	−0.734202	−	0.678931i	$-0.762444\pi$
$397$	69.0841	−	103.392i	0.174015	−	0.260432i	0.908217	+	0.418499i	$0.137444\pi$
$398$	−97.5727	−	490.531i	−0.245158	−	1.23249i
$399$	23.2971	+	9.64997i	0.0583887	+	0.0241854i
$400$	26.9960	−	65.1740i	0.0674899	−	0.162935i
$401$	−418.770	+	83.2986i	−1.04432	+	0.207727i	−0.687302	−	0.726372i	$-0.741205\pi$
$401$	−418.770	+	83.2986i	−1.04432	+	0.207727i	−0.357014	+	0.934099i	$0.616205\pi$
$402$	−13.1589	−	8.79252i	−0.0327337	−	0.0218719i
$403$	−8.08217	−	1.60764i	−0.0200550	−	0.00398919i
$404$	20.4582	+	20.4582i	0.0506391	+	0.0506391i
$405$	358.189	−	239.334i	0.884417	−	0.590948i
$406$	419.050	−	173.576i	1.03214	−	0.427528i
$407$			678.850i			1.66794i
$408$	15.8978	−	10.6226i	0.0389652	−	0.0260357i
$409$	−215.550			−0.527018			−0.263509	−	0.964657i	$-0.584880\pi$
$409$	−215.550			−0.527018			−0.263509	+	0.964657i	$0.584880\pi$
$410$	141.989	+	342.793i	0.346315	+	0.836079i
$411$	−5.73070	−	8.57659i	−0.0139433	−	0.0208676i
$412$	−89.2768	+	89.2768i	−0.216691	+	0.216691i
$413$	−34.4176	+	173.029i	−0.0833356	+	0.418956i
$414$	−143.583	+	214.888i	−0.346820	+	0.519053i
$415$	−70.5517	−	354.687i	−0.170004	−	0.854668i
$416$	82.5042	+	34.1743i	0.198327	+	0.0821499i
$417$	16.1627	−	39.0202i	0.0387595	−	0.0935737i
$418$	786.994	−	156.543i	1.88276	−	0.374504i
$419$	−517.326	−	345.666i	−1.23467	−	0.824979i	−0.245164	−	0.969482i	$-0.578842\pi$
$419$	−517.326	−	345.666i	−1.23467	−	0.824979i	−0.989504	+	0.144503i	$0.953842\pi$
$420$	4.43543	+	0.882262i	0.0105606	+	0.00210062i
$421$	−36.3708	−	36.3708i	−0.0863916	−	0.0863916i	0.662590	−	0.748982i	$-0.269457\pi$
$421$	−36.3708	−	36.3708i	−0.0863916	−	0.0863916i	−0.748982	+	0.662590i	$0.769457\pi$
$422$	14.7871	−	9.88042i	0.0350405	−	0.0234133i
$423$	−122.973	+	50.9371i	−0.290717	+	0.120419i
$424$			35.9769i			0.0848511i
$425$		−	64.3259i		−	0.151355i
$426$	20.5961			0.0483477
$427$	−197.488	−	476.777i	−0.462500	−	1.11657i
$428$	−4.42578	−	6.62365i	−0.0103406	−	0.0154758i
$429$	11.3271	−	11.3271i	0.0264034	−	0.0264034i
$430$	−167.765	+	843.413i	−0.390152	+	1.96143i
$431$	261.460	−	391.302i	0.606635	−	0.907893i	−0.393299	−	0.919411i	$-0.628666\pi$
$431$	261.460	−	391.302i	0.606635	−	0.907893i	0.999934	+	0.0115175i	$0.00366621\pi$
$432$	10.5655	+	53.1163i	0.0244572	+	0.122954i
$433$	−594.595	−	246.289i	−1.37320	−	0.568798i	−0.430545	−	0.902569i	$-0.641679\pi$
$433$	−594.595	−	246.289i	−1.37320	−	0.568798i	−0.942654	+	0.333772i	$0.891679\pi$
$434$	−6.38042	+	15.4037i	−0.0147014	+	0.0354924i
$435$	−28.0920	+	5.58785i	−0.0645794	+	0.0128456i
$436$	−80.7871	−	53.9802i	−0.185291	−	0.123808i
$437$	−320.958	−	63.8426i	−0.734459	−	0.146093i
$438$	0.338594	+	0.338594i	0.000773047	+	0.000773047i
$439$	−688.000	+	459.707i	−1.56720	+	1.04717i	−0.597809	+	0.801638i	$0.703962\pi$
$439$	−688.000	+	459.707i	−1.56720	+	1.04717i	−0.969389	+	0.245530i	$0.921038\pi$
$440$	−503.772	+	208.669i	−1.14494	+	0.474248i
$441$		−	89.7930i		−	0.203612i
$442$	253.693			0.573965
$443$	354.430			0.800068			0.400034	−	0.916500i	$-0.368998\pi$
$443$	354.430			0.800068			0.400034	+	0.916500i	$0.368998\pi$
$444$	2.40110	+	5.79677i	0.00540788	+	0.0130558i
$445$	379.966	+	568.659i	0.853856	+	1.27789i
$446$	76.2917	−	76.2917i	0.171058	−	0.171058i
$447$	3.72780	−	18.7409i	0.00833959	−	0.0419259i
$448$	−158.332	+	236.961i	−0.353420	+	0.528930i
$449$	153.330	+	770.842i	0.341492	+	1.71680i	0.645185	+	0.764027i	$0.276780\pi$
$449$	153.330	+	770.842i	0.341492	+	1.71680i	−0.303692	+	0.952770i	$0.598220\pi$
$450$	68.9828	+	28.5736i	0.153295	+	0.0634969i
$451$	175.778	−	424.366i	0.389752	−	0.940945i
$452$	54.0247	−	10.7462i	0.119524	−	0.0237747i
$453$	3.72141	+	2.48657i	0.00821503	+	0.00548911i
$454$	362.450	+	72.0957i	0.798347	+	0.158801i
$455$	−160.772	−	160.772i	−0.353344	−	0.353344i
$456$	−23.3661	+	15.6127i	−0.0512414	+	0.0342384i
$457$	300.390	−	124.426i	0.657309	−	0.272266i	−0.0289968	−	0.999580i	$-0.509231\pi$
$457$	300.390	−	124.426i	0.657309	−	0.272266i	0.686306	+	0.727313i	$0.259231\pi$
$458$		−	273.050i		−	0.596178i
$459$	27.4359	+	41.0608i	0.0597733	+	0.0894570i
$460$	−58.6882			−0.127583
$461$	−94.2242	−	227.477i	−0.204391	−	0.493444i	0.788131	−	0.615507i	$-0.211049\pi$
$461$	−94.2242	−	227.477i	−0.204391	−	0.493444i	−0.992522	+	0.122064i	$0.961049\pi$
$462$	−18.0064	−	26.9485i	−0.0389749	−	0.0583301i
$463$	−248.069	+	248.069i	−0.535786	+	0.535786i	−0.922288	−	0.386503i	$-0.873683\pi$
$463$	−248.069	+	248.069i	−0.535786	+	0.535786i	0.386503	+	0.922288i	$0.373683\pi$
$464$	−120.144	+	604.005i	−0.258931	+	1.30174i
$465$	0.584934	−	0.875415i	0.00125792	−	0.00188261i
$466$	151.464	+	761.463i	0.325031	+	1.63404i
$467$	−202.212	−	83.7591i	−0.433003	−	0.179356i	0.155526	−	0.987832i	$-0.450293\pi$
$467$	−202.212	−	83.7591i	−0.433003	−	0.179356i	−0.588529	+	0.808476i	$0.700293\pi$
$468$	−19.4657	+	46.9943i	−0.0415933	+	0.100415i
$469$	272.740	−	54.2514i	0.581536	−	0.115675i
$470$	−145.493	−	97.2156i	−0.309561	−	0.206842i
$471$	−12.5302	−	2.49241i	−0.0266034	−	0.00529174i
$472$	−139.022	−	139.022i	−0.294538	−	0.294538i
$473$	885.161	−	591.446i	1.87138	−	1.25041i
$474$	−9.75862	+	4.04215i	−0.0205878	+	0.00852775i
$475$			94.5441i			0.199040i
$476$	17.2974	−	86.9601i	0.0363392	−	0.182689i
$477$	−46.3929			−0.0972597
$478$	−173.790	−	419.566i	−0.363578	−	0.877754i
$479$	−279.157	−	417.789i	−0.582792	−	0.872210i	0.416526	−	0.909124i	$-0.363247\pi$
$479$	−279.157	−	417.789i	−0.582792	−	0.872210i	−0.999318	+	0.0369135i	$0.988247\pi$
$480$	−8.06788	+	8.06788i	−0.0168081	+	0.0168081i
$481$	61.5415	−	309.390i	0.127945	−	0.643223i
$482$	351.872	−	526.614i	0.730025	−	1.09256i
$483$	2.57871	+	12.9640i	0.00533893	+	0.0268406i
$484$	−71.2196	−	29.5001i	−0.147148	−	0.0609506i
$485$	138.865	−	335.250i	0.286320	−	0.691238i
$486$	−84.3715	+	16.7825i	−0.173604	+	0.0345319i
$487$	−209.352	−	139.885i	−0.429882	−	0.287238i	0.321745	−	0.946826i	$-0.395731\pi$
$487$	−209.352	−	139.885i	−0.429882	−	0.287238i	−0.751627	+	0.659589i	$0.770731\pi$
$488$	564.063	+	112.199i	1.15587	+	0.229916i
$489$	−6.34439	−	6.34439i	−0.0129742	−	0.0129742i
$490$	98.1502	−	65.5819i	0.200307	−	0.133841i
$491$	−209.123	+	86.6215i	−0.425912	+	0.176418i	−0.585334	−	0.810792i	$-0.699037\pi$
$491$	−209.123	+	86.6215i	−0.425912	+	0.176418i	0.159423	+	0.987210i	$0.449037\pi$
$492$		−	4.24543i		−	0.00862893i
$493$	109.554	+	550.766i	0.222219	+	1.11717i
$494$	−372.869			−0.754796
$495$	−269.083	−	649.624i	−0.543602	−	1.31237i
$496$	−12.5766	−	18.8223i	−0.0253561	−	0.0379481i
$497$	−255.901	+	255.901i	−0.514891	+	0.514891i
$498$	−4.67337	+	23.4946i	−0.00938428	+	0.0471780i
$499$	−119.919	+	179.471i	−0.240318	+	0.359662i	−0.931949	−	0.362590i	$-0.881893\pi$
$499$	−119.919	+	179.471i	−0.240318	+	0.359662i	0.691631	+	0.722251i	$0.256893\pi$
$500$	−18.5471	−	93.2423i	−0.0370941	−	0.186485i
$501$	−7.71365	−	3.19510i	−0.0153965	−	0.00637744i
$502$	227.412	−	549.021i	0.453012	−	1.09367i
$503$	865.523	−	172.163i	1.72072	−	0.342273i	0.766698	−	0.642008i	$-0.221898\pi$
$503$	865.523	−	172.163i	1.72072	−	0.342273i	0.954023	+	0.299735i	$0.0968982\pi$
$504$	−324.248	−	216.656i	−0.643349	−	0.429872i
$505$	182.277	+	36.2572i	0.360945	+	0.0717964i
$506$	297.414	+	297.414i	0.587776	+	0.587776i
$507$	16.5211	−	11.0390i	0.0325859	−	0.0217732i
$508$	−73.7144	+	30.5335i	−0.145107	+	0.0601053i
$509$			459.446i			0.902645i	0.892361	+	0.451323i	$0.149048\pi$
$509$			459.446i			0.902645i	−0.892361	+	0.451323i	$0.850952\pi$
$510$	−12.4040	+	29.9459i	−0.0243215	+	0.0587174i
$511$	−8.41386			−0.0164655
$512$	−104.718	−	252.811i	−0.204527	−	0.493772i
$513$	−40.3244	−	60.3498i	−0.0786052	−	0.117641i
$514$	−82.0986	+	82.0986i	−0.159725	+	0.159725i
$515$	−158.221	+	795.433i	−0.307226	+	1.54453i
$516$	5.46653	−	8.18124i	0.0105940	−	0.0158551i
$517$	42.2612	+	212.462i	0.0817432	+	0.410951i
$518$	−589.663	−	244.246i	−1.13835	−	0.471518i
$519$	1.14241	−	2.75802i	0.00220117	−	0.00531411i
$520$	248.514	−	49.4326i	0.477912	−	0.0950626i
$521$	84.0959	+	56.1911i	0.161412	+	0.107852i	0.633653	−	0.773617i	$-0.281555\pi$
$521$	84.0959	+	56.1911i	0.161412	+	0.107852i	−0.472241	+	0.881470i	$0.656555\pi$
$522$	−639.303	−	127.165i	−1.22472	−	0.243611i
$523$	395.099	+	395.099i	0.755448	+	0.755448i	0.975490	−	0.220042i	$-0.0706196\pi$
$523$	395.099	+	395.099i	0.755448	+	0.755448i	−0.220042	+	0.975490i	$0.570620\pi$
$524$	−29.7907	+	19.9055i	−0.0568525	+	0.0379876i
$525$	3.52810	−	1.46139i	0.00672019	−	0.00278360i
$526$			1116.04i			2.12175i
$527$	−17.1632	−	11.4681i	−0.0325678	−	0.0217611i
$528$	44.0052			0.0833432
$529$	136.796	+	330.254i	0.258593	+	0.624299i
$530$	−33.8838	−	50.7108i	−0.0639318	−	0.0956807i
$531$	179.272	−	179.272i	0.337611	−	0.337611i
$532$	−25.4232	+	127.811i	−0.0477880	+	0.240247i
$533$	−118.583	+	177.472i	−0.222483	+	0.332969i
$534$	−8.83822	−	44.4327i	−0.0165510	−	0.0832074i
$535$	−47.2762	−	19.5824i	−0.0883667	−	0.0366027i
$536$	−118.596	+	286.315i	−0.221260	+	0.534170i
$537$	9.93388	−	1.97597i	0.0184988	−	0.00367965i
$538$	−322.254	−	215.323i	−0.598985	−	0.400229i
$539$	−143.327	−	28.5095i	−0.265913	−	0.0528934i
$540$	−9.20429	−	9.20429i	−0.0170450	−	0.0170450i
$541$	−33.9436	+	22.6804i	−0.0627423	+	0.0419230i	−0.586546	−	0.809916i	$-0.699513\pi$
$541$	−33.9436	+	22.6804i	−0.0627423	+	0.0419230i	0.523804	+	0.851839i	$0.324513\pi$
$542$	943.148	−	390.665i	1.74012	−	0.720783i
$543$			16.9051i			0.0311328i
$544$	158.177	+	158.177i	0.290767	+	0.290767i
$545$	−624.125			−1.14518
$546$	5.76351	+	13.9143i	0.0105559	+	0.0254841i
$547$	−37.8284	−	56.6142i	−0.0691562	−	0.103500i	0.795280	−	0.606243i	$-0.207324\pi$
$547$	−37.8284	−	56.6142i	−0.0691562	−	0.103500i	−0.864436	+	0.502743i	$0.832324\pi$
$548$	37.6931	−	37.6931i	0.0687830	−	0.0687830i
$549$	−144.683	+	727.370i	−0.263539	+	1.32490i
$550$	67.5112	−	101.038i	0.122748	−	0.183705i
$551$	−161.019	−	809.498i	−0.292231	−	1.46914i
$552$	−13.6093	−	5.63714i	−0.0246545	−	0.0102122i
$553$	71.0254	−	171.470i	0.128436	−	0.310073i
$554$	−380.832	+	75.7521i	−0.687422	+	0.136737i
$555$	33.5114	+	22.3916i	0.0603809	+	0.0403453i
$556$	214.071	+	42.5813i	0.385019	+	0.0765850i
$557$	−208.814	−	208.814i	−0.374890	−	0.374890i	0.494365	−	0.869255i	$-0.335401\pi$
$557$	−208.814	−	208.814i	−0.374890	−	0.374890i	−0.869255	+	0.494365i	$0.835401\pi$
$558$	19.9222	−	13.3116i	0.0357029	−	0.0238559i
$559$	−457.036	+	189.310i	−0.817595	+	0.338659i
$560$		−	624.591i		−	1.11534i
$561$	37.0720	−	15.3557i	0.0660820	−	0.0273721i
$562$	−878.426			−1.56304
$563$	169.121	+	408.295i	0.300393	+	0.725212i	0.999944	+	0.0106294i	$0.00338352\pi$
$563$	169.121	+	408.295i	0.300393	+	0.725212i	−0.699551	+	0.714583i	$0.746616\pi$
$564$	1.11235	+	1.66475i	0.00197226	+	0.00295169i
$565$	250.195	−	250.195i	0.442824	−	0.442824i
$566$	153.413	−	771.260i	0.271048	−	1.36265i
$567$	278.566	−	416.904i	0.491298	−	0.735280i
$568$	−78.6820	−	395.561i	−0.138525	−	0.696411i
$569$	595.479	+	246.656i	1.04654	+	0.433490i	0.838654	−	0.544664i	$-0.183343\pi$
$569$	595.479	+	246.656i	1.04654	+	0.433490i	0.207882	+	0.978154i	$0.433343\pi$
$570$	18.2310	−	44.0135i	0.0319842	−	0.0772166i
$571$	−117.482	+	23.3687i	−0.205748	+	0.0409259i	−0.296888	−	0.954912i	$-0.595949\pi$
$571$	−117.482	+	23.3687i	−0.205748	+	0.0409259i	0.0911400	+	0.995838i	$0.470949\pi$
$572$	68.8316	+	45.9918i	0.120335	+	0.0804052i
$573$	−30.9198	−	6.15033i	−0.0539613	−	0.0107336i
$574$	305.369	+	305.369i	0.532002	+	0.532002i
$575$	−41.2060	+	27.5330i	−0.0716626	+	0.0478834i
$576$	378.379	−	156.730i	0.656908	−	0.272100i
$577$		−	177.008i		−	0.306773i	−0.988166	−	0.153387i	$-0.950982\pi$
$577$		−	177.008i		−	0.306773i	0.988166	−	0.153387i	$-0.0490180\pi$
$578$	587.112	+	243.190i	1.01577	+	0.420744i
$579$	14.2876			0.0246763
$580$	−56.6444	−	136.752i	−0.0976628	−	0.235779i
$581$	−233.848	−	349.979i	−0.402493	−	0.602373i
$582$	−16.9966	+	16.9966i	−0.0292038	+	0.0292038i
$583$	−14.7299	+	74.0520i	−0.0252656	+	0.127019i
$584$	5.20940	−	7.79642i	0.00892021	−	0.0133500i
$585$	63.7443	+	320.464i	0.108965	+	0.547802i
$586$	485.547	+	201.120i	0.828578	+	0.343208i
$587$	−239.200	+	577.480i	−0.407496	+	0.983781i	0.578299	+	0.815825i	$0.303717\pi$
$587$	−239.200	+	577.480i	−0.407496	+	0.983781i	−0.985794	+	0.167956i	$0.946283\pi$
$588$	−1.32472	+	0.263504i	−0.00225293	+	0.000448135i
$589$	25.2259	+	16.8554i	0.0428284	+	0.0286170i
$590$	326.891	+	65.0226i	0.554052	+	0.110208i
$591$	29.4132	+	29.4132i	0.0497685	+	0.0497685i
$592$	720.527	−	481.441i	1.21711	−	0.813245i
$593$	−138.551	+	57.3899i	−0.233645	+	0.0967789i	−0.496434	−	0.868074i	$-0.665358\pi$
$593$	−138.551	+	57.3899i	−0.233645	+	0.0967789i	0.262789	+	0.964853i	$0.415358\pi$
$594$			93.2893i			0.157053i
$595$	−217.953	−	526.184i	−0.366307	−	0.884343i
$596$	98.7472			0.165683
$597$	14.0674	+	33.9618i	0.0235635	+	0.0568874i
$598$	−108.586	−	162.511i	−0.181582	−	0.271757i
$599$	−217.159	+	217.159i	−0.362536	+	0.362536i	−0.864746	−	0.502210i	$-0.832520\pi$
$599$	−217.159	+	217.159i	−0.362536	+	0.362536i	0.502210	+	0.864746i	$0.332520\pi$
$600$	−0.830261	+	4.17401i	−0.00138377	+	0.00695668i
$601$	225.714	−	337.804i	0.375564	−	0.562071i	−0.594753	−	0.803908i	$-0.702750\pi$
$601$	225.714	−	337.804i	0.375564	−	0.562071i	0.970317	+	0.241838i	$0.0777502\pi$
$602$	195.266	+	981.668i	0.324362	+	1.63068i
$603$	−369.209	−	152.931i	−0.612287	−	0.253617i
$604$	−8.85135	+	21.3690i	−0.0146545	+	0.0353792i
$605$	−485.662	+	96.6041i	−0.802747	+	0.159676i
$606$	−10.2360	−	6.83945i	−0.0168910	−	0.0112862i
$607$	1017.17	+	202.327i	1.67573	+	0.333323i	0.939274	−	0.343167i	$-0.111500\pi$
$607$	1017.17	+	202.327i	1.67573	+	0.333323i	0.736452	+	0.676490i	$0.236500\pi$
$608$	−232.484	−	232.484i	−0.382374	−	0.382374i
$609$	−27.7191	+	18.5213i	−0.0455158	+	0.0304127i
$610$	−900.740	+	373.099i	−1.47662	+	0.611637i
$611$		−	100.662i		−	0.164750i
$612$	−90.0975	+	90.0975i	−0.147218	+	0.147218i
$613$	132.402			0.215991			0.107995	−	0.994151i	$-0.465557\pi$
$613$	132.402			0.215991			0.107995	+	0.994151i	$0.465557\pi$
$614$	−344.972	−	832.835i	−0.561843	−	1.35641i
$615$	−15.1509	−	22.6749i	−0.0246355	−	0.0368697i
$616$	−448.774	+	448.774i	−0.728529	+	0.728529i
$617$	49.9956	−	251.345i	0.0810302	−	0.407366i	−0.918887	−	0.394520i	$-0.870911\pi$
$617$	49.9956	−	251.345i	0.0810302	−	0.407366i	0.999917	−	0.0128460i	$-0.00408913\pi$
$618$	29.8464	−	44.6683i	0.0482951	−	0.0722788i
$619$	−17.9310	−	90.1450i	−0.0289676	−	0.145630i	0.963595	−	0.267367i	$-0.0861536\pi$
$619$	−17.9310	−	90.1450i	−0.0289676	−	0.145630i	−0.992562	+	0.121737i	$0.961154\pi$
$620$	5.02680	+	2.08217i	0.00810774	+	0.00335834i
$621$	14.5596	−	35.1499i	0.0234454	−	0.0566021i
$622$	−467.145	+	92.9208i	−0.751036	+	0.149390i
$623$	661.875	+	442.251i	1.06240	+	0.709873i
$624$	−20.0557	−	3.98932i	−0.0321405	−	0.00639314i
$625$	−498.708	−	498.708i	−0.797932	−	0.797932i
$626$	−865.556	+	578.346i	−1.38268	+	0.923875i
$627$	−54.4872	+	22.5694i	−0.0869015	+	0.0359958i
$628$		−	66.0226i		−	0.105131i
$629$	439.005	−	657.018i	0.697941	−	1.04454i
$630$	661.091			1.04935
$631$	219.866	+	530.804i	0.348441	+	0.841210i	0.996805	+	0.0798795i	$0.0254536\pi$
$631$	219.866	+	530.804i	0.348441	+	0.841210i	−0.648364	+	0.761331i	$0.724546\pi$
$632$	114.912	+	171.978i	0.181823	+	0.272117i
$633$	−0.924280	+	0.924280i	−0.00146016	+	0.00146016i
$634$	109.970	−	552.855i	0.173454	−	0.872012i
$635$	−284.742	+	426.147i	−0.448413	+	0.671098i
$636$	0.136143	+	0.684437i	0.000214061	+	0.00107616i
$637$	62.7377	+	25.9868i	0.0984893	+	0.0407956i
$638$	−405.961	+	980.076i	−0.636302	+	1.53617i
$639$	510.084	−	101.462i	0.798254	−	0.158783i
$640$	682.468	+	456.011i	1.06636	+	0.712517i
$641$	−966.275	−	192.204i	−1.50745	−	0.299850i	−0.628894	−	0.777491i	$-0.716492\pi$
$641$	−966.275	−	192.204i	−1.50745	−	0.299850i	−0.878555	+	0.477641i	$0.841492\pi$
$642$	2.39682	+	2.39682i	0.00373337	+	0.00373337i
$643$	−29.4169	+	19.6558i	−0.0457495	+	0.0305688i	−0.578235	−	0.815870i	$-0.696258\pi$
$643$	−29.4169	+	19.6558i	−0.0457495	+	0.0305688i	0.532485	+	0.846439i	$0.321258\pi$
$644$	−63.1088	+	26.1405i	−0.0979950	+	0.0405909i
$645$		−	63.2046i		−	0.0979916i
$646$	−862.919	−	357.433i	−1.33579	−	0.553301i
$647$	−472.176			−0.729793			−0.364897	−	0.931048i	$-0.618896\pi$
$647$	−472.176			−0.729793			−0.364897	+	0.931048i	$0.618896\pi$
$648$	213.837	+	516.248i	0.329995	+	0.796679i
$649$	−229.233	−	343.071i	−0.353210	−	0.528615i
$650$	−39.9283	+	39.9283i	−0.0614281	+	0.0614281i
$651$	0.239071	−	1.20189i	0.000367237	−	0.00184623i
$652$	25.7604	−	38.5532i	0.0395098	−	0.0591306i
$653$	−124.126	−	624.023i	−0.190086	−	0.955625i	−0.951568	−	0.307439i	$-0.900528\pi$
$653$	−124.126	−	624.023i	−0.190086	−	0.955625i	0.761482	−	0.648186i	$-0.224472\pi$
$654$	38.1953	+	15.8210i	0.0584026	+	0.0241912i
$655$	−88.0746	+	212.631i	−0.134465	+	0.324627i
$656$	−575.082	+	114.391i	−0.876649	+	0.174376i
$657$	10.0536	+	6.71763i	0.0153023	+	0.0102247i
$658$	−199.754	−	39.7335i	−0.303577	−	0.0603853i
$659$	128.530	+	128.530i	0.195037	+	0.195037i	0.797869	−	0.602831i	$-0.205961\pi$
$659$	128.530	+	128.530i	0.195037	+	0.195037i	−0.602831	+	0.797869i	$0.705961\pi$
$660$	−8.79431	+	5.87617i	−0.0133247	+	0.00890328i
$661$	1075.49	−	445.481i	1.62706	−	0.673950i	0.632161	−	0.774837i	$-0.282168\pi$
$661$	1075.49	−	445.481i	1.62706	−	0.673950i	0.994898	+	0.100887i	$0.0321681\pi$
$662$		−	496.438i		−	0.749906i
$663$	−18.2879	+	3.63769i	−0.0275836	+	0.00548671i
$664$	469.082			0.706449
$665$	320.340	+	773.368i	0.481714	+	1.16296i
$666$	509.576	+	762.634i	0.765129	+	1.14510i
$667$	305.919	−	305.919i	0.458649	−	0.458649i
$668$	8.41761	−	42.3182i	0.0126012	−	0.0633506i
$669$	−4.40568	+	6.59357i	−0.00658548	+	0.00985586i
$670$	−102.493	−	515.268i	−0.152975	−	0.769056i
$671$	1115.09	+	461.884i	1.66183	+	0.688352i
$672$	−5.08204	+	12.2691i	−0.00756256	+	0.0182576i
$673$	105.260	−	20.9375i	0.156404	−	0.0311106i	−0.116267	−	0.993218i	$-0.537093\pi$
$673$	105.260	−	20.9375i	0.156404	−	0.0311106i	0.272671	+	0.962107i	$0.412093\pi$
$674$	660.281	+	441.186i	0.979645	+	0.654578i
$675$	−10.7806	−	2.14439i	−0.0159713	−	0.00317688i
$676$	72.6081	+	72.6081i	0.107408	+	0.107408i
$677$	−876.782	+	585.847i	−1.29510	+	0.865358i	−0.996043	−	0.0888773i	$-0.971672\pi$
$677$	−876.782	+	585.847i	−1.29510	+	0.865358i	−0.299057	+	0.954235i	$0.596672\pi$
$678$	−21.6537	+	8.96927i	−0.0319377	+	0.0132290i
$679$		−	422.355i		−	0.622025i
$680$	622.515	+	123.826i	0.915463	+	0.182097i
$681$	−27.1616			−0.0398849
$682$	−14.9225	−	36.0262i	−0.0218805	−	0.0528243i
$683$	−339.367	−	507.899i	−0.496877	−	0.743629i	0.495265	−	0.868742i	$-0.335071\pi$
$683$	−339.367	−	507.899i	−0.496877	−	0.743629i	−0.992143	+	0.125113i	$0.960071\pi$
$684$	132.422	−	132.422i	0.193600	−	0.193600i
$685$	66.8019	−	335.836i	0.0975210	−	0.490271i
$686$	450.134	−	673.673i	0.656172	−	0.982031i
$687$	3.91525	+	19.6833i	0.00569906	+	0.0286511i
$688$	−1255.51	−	520.051i	−1.82488	−	0.755888i
$689$	13.4265	−	32.4143i	0.0194869	−	0.0470455i
$690$	24.4920	−	4.87176i	0.0354956	−	0.00706052i
$691$	−815.612	−	544.975i	−1.18034	−	0.788675i	−0.198816	−	0.980037i	$-0.563710\pi$
$691$	−815.612	−	544.975i	−1.18034	−	0.788675i	−0.981520	+	0.191362i	$0.938710\pi$
$692$	15.1309	+	3.00972i	0.0218655	+	0.00434931i
$693$	−578.703	−	578.703i	−0.835069	−	0.835069i
$694$	28.9939	−	19.3731i	0.0417779	−	0.0279151i
$695$	1295.31	−	536.536i	1.86376	−	0.771994i
$696$		−	37.1524i		−	0.0533798i
$697$	−444.558	+	297.044i	−0.637817	+	0.426176i
$698$	695.626			0.996600
$699$	−21.8372	−	52.7196i	−0.0312406	−	0.0754215i
$700$	10.9641	+	16.4089i	0.0156630	+	0.0234413i
$701$	52.7814	−	52.7814i	0.0752944	−	0.0752944i	−0.668457	−	0.743751i	$-0.733045\pi$
$701$	52.7814	−	52.7814i	0.0752944	−	0.0752944i	0.743751	+	0.668457i	$0.233045\pi$
$702$	8.45719	−	42.5172i	0.0120473	−	0.0605658i
$703$	−645.236	+	965.663i	−0.917832	+	1.37363i
$704$	−130.035	−	653.728i	−0.184708	−	0.928591i
$705$	11.8821	+	4.92174i	0.0168541	+	0.00698120i
$706$	228.027	−	550.507i	0.322985	−	0.779755i
$707$	212.157	−	42.2006i	0.300080	−	0.0596896i
$708$	−3.17089	−	2.11872i	−0.00447866	−	0.00299254i
$709$	−752.626	−	149.707i	−1.06153	−	0.211152i	−0.366711	−	0.930335i	$-0.619516\pi$
$709$	−752.626	−	149.707i	−1.06153	−	0.211152i	−0.694821	+	0.719183i	$0.744516\pi$
$710$	483.454	+	483.454i	0.680921	+	0.680921i
$711$	−221.769	+	148.182i	−0.311912	+	0.208413i
$712$	−819.594	+	339.487i	−1.15111	+	0.476807i
$713$			15.9030i			0.0223044i
$714$			37.7264i			0.0528381i
$715$	531.762			0.743723
$716$	20.0306	+	48.3580i	0.0279756	+	0.0675392i
$717$	18.5441	+	27.7533i	0.0258635	+	0.0387075i
$718$	246.167	−	246.167i	0.342851	−	0.342851i
$719$	224.919	−	1130.74i	0.312822	−	1.57266i	−0.429785	−	0.902931i	$-0.641410\pi$
$719$	224.919	−	1130.74i	0.312822	−	1.57266i	0.742606	−	0.669729i	$-0.233590\pi$
$720$	−498.673	+	746.317i	−0.692602	+	1.03655i
$721$	184.157	+	925.822i	0.255419	+	1.28408i
$722$	534.907	+	221.566i	0.740869	+	0.306878i
$723$	−17.8143	+	43.0074i	−0.0246394	+	0.0594847i
$724$	−85.6842	+	17.0437i	−0.118348	+	0.0235410i
$725$	−103.927	−	69.4417i	−0.143347	−	0.0957817i
$726$	32.1705	+	6.39910i	0.0443119	+	0.00881419i
$727$	195.955	+	195.955i	0.269539	+	0.269539i	0.828914	−	0.559376i	$-0.188959\pi$
$727$	195.955	+	195.955i	0.269539	+	0.269539i	−0.559376	+	0.828914i	$0.688959\pi$
$728$	245.216	−	163.848i	0.336834	−	0.225066i
$729$	−661.808	+	274.130i	−0.907830	+	0.376036i
$730$			15.8957i			0.0217749i
$731$	−1239.18			−1.69518
$732$	11.1555			0.0152398
$733$	169.675	+	409.632i	0.231480	+	0.558843i	0.996352	−	0.0853397i	$-0.0271976\pi$
$733$	169.675	+	409.632i	0.231480	+	0.558843i	−0.764871	+	0.644183i	$0.777198\pi$
$734$	597.376	+	894.036i	0.813863	+	1.21803i
$735$	−6.13496	+	6.13496i	−0.00834689	+	0.00834689i
$736$	33.6219	−	169.029i	0.0456820	−	0.229659i
$737$	−361.333	+	540.773i	−0.490275	+	0.733749i
$738$	−121.076	−	608.689i	−0.164059	−	0.824782i
$739$	98.1432	+	40.6523i	0.132805	+	0.0550098i	0.448096	−	0.893985i	$-0.352102\pi$
$739$	98.1432	+	40.6523i	0.132805	+	0.0550098i	−0.315291	+	0.948995i	$0.602102\pi$
$740$	−79.7067	+	192.429i	−0.107712	+	0.260039i
$741$	26.8790	−	5.34656i	0.0362739	−	0.00721533i
$742$	−59.0234	−	39.4382i	−0.0795463	−	0.0531512i
$743$	905.734	+	180.162i	1.21902	+	0.242479i	0.762355	−	0.647159i	$-0.224043\pi$
$743$	905.734	+	180.162i	1.21902	+	0.242479i	0.456668	+	0.889637i	$0.349043\pi$
$744$	0.965673	+	0.965673i	0.00129795	+	0.00129795i
$745$	527.409	−	352.403i	0.707931	−	0.473025i
$746$	−1164.99	+	482.554i	−1.56165	+	0.646855i
$747$			604.891i			0.809760i
$748$	115.207	+	172.419i	0.154020	+	0.230507i
$749$	−59.5595			−0.0795187
$750$	15.4803	+	37.3727i	0.0206403	+	0.0498302i
$751$	636.671	+	952.846i	0.847765	+	1.26877i	0.961374	+	0.275244i	$0.0887587\pi$
$751$	636.671	+	952.846i	0.847765	+	1.26877i	−0.113610	+	0.993525i	$0.536241\pi$
$752$	195.534	−	195.534i	0.260018	−	0.260018i
$753$	−8.52102	+	42.8381i	−0.0113161	+	0.0568899i
$754$	273.869	−	409.873i	0.363221	−	0.543598i
$755$	28.9855	+	145.720i	0.0383914	+	0.193007i
$756$	−13.9973	−	5.79787i	−0.0185150	−	0.00766915i
$757$	24.5973	−	59.3832i	0.0324932	−	0.0784455i	−0.906800	−	0.421561i	$-0.861482\pi$
$757$	24.5973	−	59.3832i	0.0324932	−	0.0784455i	0.939293	+	0.343116i	$0.111482\pi$
$758$	−1513.99	+	301.151i	−1.99734	+	0.397296i
$759$	−25.7043	−	17.1751i	−0.0338660	−	0.0226285i
$760$	−914.952	−	181.995i	−1.20388	−	0.239467i
$761$	−173.164	−	173.164i	−0.227548	−	0.227548i	0.584120	−	0.811668i	$-0.301440\pi$
$761$	−173.164	−	173.164i	−0.227548	−	0.227548i	−0.811668	+	0.584120i	$0.801440\pi$
$762$	28.2282	−	18.8615i	0.0370449	−	0.0247526i
$763$	−671.137	+	277.994i	−0.879602	+	0.364343i
$764$		−	162.919i		−	0.213245i
$765$	−159.676	+	802.745i	−0.208727	+	1.04934i
$766$	678.170			0.885339
$767$	73.3731	+	177.138i	0.0956624	+	0.230950i
$768$	−13.8148	−	20.6753i	−0.0179880	−	0.0269210i
$769$	550.339	−	550.339i	0.715655	−	0.715655i	−0.252057	−	0.967712i	$-0.581107\pi$
$769$	550.339	−	550.339i	0.715655	−	0.715655i	0.967712	+	0.252057i	$0.0811072\pi$
$770$	209.898	−	1055.23i	0.272595	−	1.37043i
$771$	4.74102	−	7.09544i	0.00614919	−	0.00920291i
$772$	14.4046	+	72.4170i	0.0186588	+	0.0938044i
$773$	399.534	+	165.492i	0.516861	+	0.214091i	0.625837	−	0.779953i	$-0.284757\pi$
$773$	399.534	+	165.492i	0.516861	+	0.214091i	−0.108976	+	0.994044i	$0.534757\pi$
$774$	550.442	−	1328.89i	0.711166	−	1.71691i
$775$	4.50624	−	0.896346i	0.00581450	−	0.00115658i
$776$	391.361	+	261.499i	0.504331	+	0.336983i
$777$	46.0092	+	9.15179i	0.0592139	+	0.0117784i
$778$	−443.266	−	443.266i	−0.569751	−	0.569751i
$779$	653.397	−	436.586i	0.838764	−	0.560444i
$780$	4.54077	−	1.88085i	0.00582150	−	0.00241134i
$781$		−	846.408i		−	1.08375i
$782$	−95.5146	−	480.184i	−0.122141	−	0.614047i
$783$	95.9569			0.122550
$784$	71.3878	+	172.345i	0.0910559	+	0.219828i
$785$	−235.617	−	352.626i	−0.300150	−	0.449206i
$786$	10.7800	−	10.7800i	0.0137150	−	0.0137150i
$787$	−222.286	+	1117.51i	−0.282447	+	1.41996i	0.535437	+	0.844575i	$0.320147\pi$
$787$	−222.286	+	1117.51i	−0.282447	+	1.41996i	−0.817884	+	0.575383i	$0.804853\pi$
$788$	−119.428	+	178.736i	−0.151558	+	0.226822i
$789$	−16.0029	−	80.4518i	−0.0202824	−	0.101967i
$790$	−323.946	−	134.183i	−0.410059	−	0.169852i
$791$	157.601	−	380.481i	0.199242	−	0.481013i
$792$	894.537	−	177.934i	1.12947	−	0.224665i
$793$	−466.336	−	311.595i	−0.588065	−	0.392932i
$794$	−268.177	−	53.3436i	−0.337754	−	0.0671834i
$795$	3.16972	+	3.16972i	0.00398707	+	0.00398707i
$796$	−157.954	+	105.541i	−0.198434	+	0.132590i
$797$	104.084	−	43.1132i	0.130595	−	0.0540943i	−0.316429	−	0.948616i	$-0.602484\pi$
$797$	104.084	−	43.1132i	0.130595	−	0.0540943i	0.447024	+	0.894522i	$0.352484\pi$
$798$		−	55.4491i		−	0.0694850i
$799$	96.4946	−	232.959i	0.120769	−	0.291563i
$800$	−49.7905			−0.0622381
$801$	−437.775	−	1056.88i	−0.546536	−	1.31945i
$802$	521.614	+	780.650i	0.650391	+	0.973379i
$803$	13.9147	−	13.9147i	0.0173284	−	0.0173284i
$804$	−1.17274	+	5.89575i	−0.00145863	+	0.00733302i
$805$	−243.775	+	364.835i	−0.302826	+	0.453212i
$806$	3.53507	+	17.7720i	0.00438594	+	0.0220496i
$807$	26.3178	+	10.9012i	0.0326119	+	0.0135083i
$808$	−92.2520	+	222.716i	−0.114173	+	0.275639i
$809$	638.126	−	126.931i	0.788783	−	0.156899i	0.215769	−	0.976444i	$-0.430774\pi$
$809$	638.126	−	126.931i	0.788783	−	0.156899i	0.573014	+	0.819546i	$0.305774\pi$
$810$	−787.626	−	526.275i	−0.972377	−	0.649722i
$811$	−631.322	−	125.578i	−0.778449	−	0.154843i	−0.210154	−	0.977668i	$-0.567397\pi$
$811$	−631.322	−	125.578i	−0.778449	−	0.154843i	−0.568294	+	0.822825i	$0.692397\pi$
$812$	−121.822	−	121.822i	−0.150027	−	0.150027i
$813$	−62.3868	+	41.6855i	−0.0767366	+	0.0512737i
$814$	1379.10	−	571.243i	1.69423	−	0.701773i
$815$		−	297.845i		−	0.365453i
$816$	−42.5900	−	28.4577i	−0.0521936	−	0.0348747i
$817$	1821.30			2.22925
$818$	181.383	+	437.897i	0.221739	+	0.535326i
$819$	211.285	+	316.210i	0.257979	+	0.386093i
$820$	99.6533	−	99.6533i	0.121528	−	0.121528i
$821$	−174.401	+	876.775i	−0.212426	+	1.06794i	0.716477	+	0.697611i	$0.245754\pi$
$821$	−174.401	+	876.775i	−0.212426	+	1.06794i	−0.928902	+	0.370325i	$0.879246\pi$
$822$	−12.6013	+	18.8592i	−0.0153300	+	0.0229430i
$823$	180.424	+	907.053i	0.219227	+	1.10213i	0.920950	+	0.389680i	$0.127414\pi$
$823$	180.424	+	907.053i	0.219227	+	1.10213i	−0.701723	+	0.712450i	$0.747586\pi$
$824$	−971.901	−	402.575i	−1.17949	−	0.488562i
$825$	−3.41789	+	8.25153i	−0.00414290	+	0.0100018i
$826$	380.476	−	75.6813i	0.460624	−	0.0916239i
$827$	−704.948	−	471.032i	−0.852417	−	0.569567i	0.0508208	−	0.998708i	$-0.483816\pi$
$827$	−704.948	−	471.032i	−0.852417	−	0.569567i	−0.903237	+	0.429141i	$0.858816\pi$
$828$	96.2787	+	19.1510i	0.116279	+	0.0231292i
$829$	862.801	+	862.801i	1.04077	+	1.04077i	0.999133	+	0.0416400i	$0.0132583\pi$
$829$	862.801	+	862.801i	1.04077	+	1.04077i	0.0416400	+	0.999133i	$0.486742\pi$
$830$	−661.189	+	441.793i	−0.796614	+	0.532280i
$831$	26.3667	−	10.9215i	0.0317289	−	0.0131426i
$832$			309.729i			0.372271i
$833$	120.281	+	120.281i	0.144395	+	0.144395i
$834$	−92.8715			−0.111357
$835$	−106.064	−	256.062i	−0.127023	−	0.306661i
$836$	−169.327	−	253.416i	−0.202545	−	0.303129i
$837$	−2.49414	+	2.49414i	−0.00297985	+	0.00297985i
$838$	−266.908	+	1341.84i	−0.318506	+	1.60124i
$839$	−213.563	+	319.620i	−0.254545	+	0.380954i	−0.936631	−	0.350319i	$-0.886073\pi$
$839$	−213.563	+	319.620i	−0.254545	+	0.380954i	0.682085	+	0.731273i	$0.261073\pi$
$840$	7.35108	+	36.9564i	0.00875129	+	0.0439957i
$841$	231.119	+	95.7324i	0.274814	+	0.113832i
$842$	−43.2829	+	104.494i	−0.0514048	+	0.124102i
$843$	63.3230	−	12.5957i	0.0751162	−	0.0149415i
$844$	−5.61660	−	3.75289i	−0.00665474	−	0.00444655i
$845$	646.919	+	128.680i	0.765585	+	0.152284i
$846$	206.961	+	206.961i	0.244634	+	0.244634i
$847$	−479.215	+	320.201i	−0.565779	+	0.378042i
$848$	89.0448	−	36.8836i	0.105006	−	0.0434948i
$849$			57.7975i			0.0680771i
$850$	−130.680	+	54.1294i	−0.153741	+	0.0636817i
$851$	−608.778			−0.715368
$852$	−2.99375	−	7.22756i	−0.00351380	−	0.00848305i
$853$	−485.458	−	726.539i	−0.569118	−	0.851745i	0.429566	−	0.903036i	$-0.358667\pi$
$853$	−485.458	−	726.539i	−0.569118	−	0.851745i	−0.998684	+	0.0512903i	$0.983667\pi$
$854$	−802.404	+	802.404i	−0.939583	+	0.939583i
$855$	234.687	−	1179.85i	0.274487	−	1.37994i
$856$	36.8760	−	55.1888i	0.0430794	−	0.0644729i
$857$	−262.053	−	1317.43i	−0.305779	−	1.53726i	−0.762111	−	0.647446i	$-0.775837\pi$
$857$	−262.053	−	1317.43i	−0.305779	−	1.53726i	0.456332	−	0.889810i	$-0.349163\pi$
$858$	−32.5429	−	13.4797i	−0.0379288	−	0.0157106i
$859$	−97.9655	+	236.510i	−0.114046	+	0.275331i	−0.970588	−	0.240745i	$-0.922608\pi$
$859$	−97.9655	+	236.510i	−0.114046	+	0.275331i	0.856542	+	0.516077i	$0.172608\pi$
$860$	320.355	−	63.7225i	0.372506	−	0.0740960i
$861$	−26.3918	−	17.6344i	−0.0306525	−	0.0204813i
$862$	−1014.96	−	201.887i	−1.17744	−	0.234208i
$863$	−1137.90	−	1137.90i	−1.31854	−	1.31854i	−0.914930	−	0.403612i	$-0.867755\pi$
$863$	−1137.90	−	1137.90i	−1.31854	−	1.31854i	−0.403612	−	0.914930i	$-0.632245\pi$
$864$	31.7825	−	21.2364i	0.0367853	−	0.0245791i
$865$	91.5550	−	37.9233i	0.105844	−	0.0438420i
$866$			1415.19i			1.63417i
$867$	−45.8102	−	9.11221i	−0.0528376	−	0.0105100i
$868$	6.33287			0.00729593
$869$	166.114	+	401.035i	0.191156	+	0.461490i
$870$	34.9910	+	52.3677i	0.0402195	+	0.0601927i
$871$	213.704	−	213.704i	0.245355	−	0.245355i
$872$	157.937	−	794.004i	0.181121	−	0.910555i
$873$	−337.208	+	504.668i	−0.386264	+	0.578085i
$874$	140.384	+	705.760i	0.160623	+	0.807505i
$875$	−656.681	−	272.006i	−0.750493	−	0.310864i
$876$	0.0696025	−	0.168035i	7.94550e−5	−	0.000191821i
$877$	−483.538	+	96.1816i	−0.551354	+	0.109671i	−0.462902	−	0.886409i	$-0.653192\pi$
$877$	−483.538	+	96.1816i	−0.551354	+	0.109671i	−0.0884519	+	0.996080i	$0.528192\pi$
$878$	1512.85	+	1010.86i	1.72307	+	1.15132i
$879$	−37.8854	−	7.53588i	−0.0431006	−	0.00857324i
$880$	1032.94	+	1032.94i	1.17379	+	1.17379i
$881$	−334.347	+	223.404i	−0.379508	+	0.253579i	−0.730663	−	0.682738i	$-0.760789\pi$
$881$	−334.347	+	223.404i	−0.379508	+	0.253579i	0.351155	+	0.936317i	$0.385789\pi$
$882$	−182.417	+	75.5597i	−0.206822	+	0.0856686i
$883$		−	907.327i		−	1.02755i	−0.857925	−	0.513775i	$-0.828246\pi$
$883$		−	907.327i		−	1.02755i	0.857925	−	0.513775i	$-0.171754\pi$
$884$	−36.8755	−	89.0253i	−0.0417144	−	0.100707i
$885$	−24.4969			−0.0276801
$886$	−298.248	−	720.035i	−0.336624	−	0.812681i
$887$	−705.933	−	1056.50i	−0.795866	−	1.19110i	−0.978160	−	0.207854i	$-0.933352\pi$
$887$	−705.933	−	1056.50i	−0.795866	−	1.19110i	0.182294	−	0.983244i	$-0.441648\pi$
$888$	−36.9665	+	36.9665i	−0.0416290	+	0.0416290i
$889$	−116.379	+	585.074i	−0.130910	+	0.658127i
$890$	835.512	−	1250.43i	0.938778	−	1.40498i
$891$	228.780	+	1150.16i	0.256768	+	1.29086i
$892$	−37.8615	−	15.6828i	−0.0424457	−	0.0175816i
$893$	−141.825	+	342.395i	−0.158818	+	0.383421i
$894$	−41.2096	+	8.19710i	−0.0460957	+	0.00916901i
$895$	279.561	+	186.796i	0.312358	+	0.208711i
$896$	936.988	+	186.379i	1.04575	+	0.208012i
$897$	10.1579	+	10.1579i	0.0113243	+	0.0113243i
$898$	1436.96	−	960.148i	1.60018	−	1.06921i
$899$	−37.0564	+	15.3493i	−0.0412195	+	0.0170737i
$900$		−	28.3606i		−	0.0315118i
$901$	62.1448	−	62.1448i	0.0689732	−	0.0689732i
$902$	−1010.03			−1.11976
$903$	−28.1522	−	67.9654i	−0.0311763	−	0.0752663i
$904$	254.983	+	381.608i	0.282060	+	0.422133i
$905$	−396.815	+	396.815i	−0.438470	+	0.438470i
$906$	1.92002	−	9.65257i	0.00211922	−	0.0106541i
$907$	852.359	−	1275.64i	0.939756	−	1.40644i	0.0262336	−	0.999656i	$-0.491649\pi$
$907$	852.359	−	1275.64i	0.939756	−	1.40644i	0.913522	−	0.406788i	$-0.133351\pi$
$908$	−27.3842	−	137.670i	−0.0301588	−	0.151619i
$909$	−287.197	−	118.961i	−0.315948	−	0.130870i
$910$	−191.325	+	461.899i	−0.210247	+	0.507582i
$911$	359.228	−	71.4549i	0.394323	−	0.0784357i	0.00605352	−	0.999982i	$-0.498073\pi$
$911$	359.228	−	71.4549i	0.394323	−	0.0784357i	0.388269	+	0.921546i	$0.373073\pi$
$912$	62.5974	+	41.8262i	0.0686375	+	0.0458621i
$913$	965.523	+	192.054i	1.05753	+	0.210355i
$914$	−505.549	−	505.549i	−0.553117	−	0.553117i
$915$	59.5816	−	39.8112i	0.0651165	−	0.0435095i
$916$	−95.8181	+	39.6892i	−0.104605	+	0.0433288i
$917$			267.877i			0.292123i
$918$	60.3292	−	90.2891i	0.0657181	−	0.0983541i
$919$	−944.655			−1.02792			−0.513958	−	0.857815i	$-0.671821\pi$
$919$	−944.655			−1.02792			−0.513958	+	0.857815i	$0.671821\pi$
$920$	−187.130	−	451.772i	−0.203402	−	0.491057i
$921$	36.8099	+	55.0899i	0.0399673	+	0.0598153i
$922$	−382.839	+	382.839i	−0.415226	+	0.415226i
$923$	−76.7316	+	385.756i	−0.0831328	+	0.417937i
$924$	−6.83940	+	10.2359i	−0.00740195	+	0.0110778i
$925$	34.3127	+	172.501i	0.0370948	+	0.186488i
$926$	712.706	+	295.212i	0.769661	+	0.318804i
$927$	519.128	−	1253.29i	0.560009	−	1.35198i
$928$	426.312	−	84.7988i	0.459388	−	0.0913780i
$929$	807.914	+	539.831i	0.869660	+	0.581088i	0.908372	−	0.418162i	$-0.137326\pi$
$929$	807.914	+	539.831i	0.869660	+	0.581088i	−0.0387126	+	0.999250i	$0.512326\pi$
$930$	−2.27065	−	0.451660i	−0.00244156	−	0.000485656i
$931$	−176.785	−	176.785i	−0.189887	−	0.189887i
$932$	245.195	−	163.834i	0.263085	−	0.175788i
$933$	32.3426	−	13.3967i	0.0346652	−	0.0143588i
$934$			481.282i			0.515292i
$935$	1230.64	+	509.748i	1.31619	+	0.545184i
$936$	−423.822			−0.452801
$937$	−229.656	−	554.438i	−0.245097	−	0.591716i	0.752678	−	0.658389i	$-0.228762\pi$
$937$	−229.656	−	554.438i	−0.245097	−	0.591716i	−0.997775	+	0.0666728i	$0.978762\pi$
$938$	−339.721	−	508.428i	−0.362176	−	0.542034i
$939$	54.1023	−	54.1023i	0.0576170	−	0.0576170i
$940$	−12.9665	+	65.1871i	−0.0137942	+	0.0693480i
$941$	602.514	−	901.726i	0.640291	−	0.958263i	−0.359394	−	0.933186i	$-0.617017\pi$
$941$	602.514	−	901.726i	0.640291	−	0.958263i	0.999686	−	0.0250777i	$-0.00798332\pi$
$942$	5.48059	+	27.5528i	0.00581804	+	0.0292493i
$943$	380.563	+	157.634i	0.403566	+	0.167162i
$944$	−201.562	+	486.613i	−0.213519	+	0.515480i
$945$	−95.4507	+	18.9863i	−0.101006	+	0.0200913i
$946$	−1946.39	−	1300.54i	−2.05750	−	1.37478i
$947$	683.372	+	135.931i	0.721618	+	0.143539i	0.542219	−	0.840237i	$-0.317584\pi$
$947$	683.372	+	135.931i	0.721618	+	0.143539i	0.179400	+	0.983776i	$0.442584\pi$
$948$	2.83693	+	2.83693i	0.00299254	+	0.00299254i
$949$	−7.60316	+	5.08027i	−0.00801176	+	0.00535329i
$950$	192.069	−	79.5577i	0.202178	−	0.0837449i
$951$			41.4305i			0.0435651i
$952$	724.559	−	144.124i	0.761091	−	0.151390i
$953$	−1779.95			−1.86774			−0.933868	−	0.357618i	$-0.883589\pi$
$953$	−1779.95			−1.86774			−0.933868	+	0.357618i	$0.883589\pi$
$954$	39.0390	+	94.2485i	0.0409214	+	0.0987930i
$955$	−581.415	−	870.149i	−0.608812	−	0.911151i
$956$	−121.972	+	121.972i	−0.127586	+	0.127586i
$957$	15.2111	−	76.4716i	0.0158946	−	0.0799076i
$958$	−613.843	+	918.681i	−0.640754	+	0.958957i
$959$	−77.7522	−	390.887i	−0.0810763	−	0.407598i
$960$	−36.5604	−	15.1438i	−0.0380838	−	0.0157748i
$961$	−367.195	+	886.486i	−0.382096	+	0.922462i
$962$	−680.322	+	135.324i	−0.707195	+	0.140670i
$963$	71.1671	+	47.5523i	0.0739015	+	0.0493794i
$964$	−235.945	−	46.9324i	−0.244756	−	0.0486850i
$965$	335.373	+	335.373i	0.347536	+	0.347536i
$966$	24.1669	−	16.1478i	0.0250175	−	0.0167161i
$967$	−558.012	+	231.136i	−0.577055	+	0.239024i	−0.652071	−	0.758158i	$-0.726099\pi$
$967$	−558.012	+	231.136i	−0.577055	+	0.239024i	0.0750154	+	0.997182i	$0.476099\pi$
$968$		−	642.299i		−	0.663532i
$969$	67.3303	+	13.3928i	0.0694843	+	0.0138213i
$970$	−797.924			−0.822602
$971$	421.281	+	1017.06i	0.433863	+	1.04744i	0.978031	+	0.208461i	$0.0668454\pi$
$971$	421.281	+	1017.06i	0.433863	+	1.04744i	−0.544168	+	0.838976i	$0.683155\pi$
$972$	18.1531	+	27.1681i	0.0186760	+	0.0279507i
$973$	1153.90	−	1153.90i	1.18592	−	1.18592i
$974$	−108.013	+	543.017i	−0.110896	+	0.557512i
$975$	2.30577	−	3.45084i	0.00236490	−	0.00353932i
$976$	−300.579	−	1511.11i	−0.307971	−	1.54827i
$977$	1012.20	+	419.266i	1.03603	+	0.429136i	0.834884	−	0.550426i	$-0.185535\pi$
$977$	1012.20	+	419.266i	1.03603	+	0.429136i	0.201142	+	0.979562i	$0.435535\pi$
$978$	−7.55010	+	18.2276i	−0.00771994	+	0.0186376i
$979$	−1825.98	+	363.211i	−1.86515	+	0.371002i
$980$	−37.2805	−	24.9100i	−0.0380413	−	0.0254184i
$981$	1023.88	+	203.663i	1.04372	+	0.207608i
$982$	351.948	+	351.948i	0.358399	+	0.358399i
$983$	−1021.98	+	682.863i	−1.03965	+	0.694673i	−0.953433	−	0.301604i	$-0.902478\pi$
$983$	−1021.98	+	682.863i	−1.03965	+	0.694673i	−0.0862178	+	0.996276i	$0.527478\pi$
$984$	32.6807	−	13.5368i	0.0332121	−	0.0137569i
$985$			1380.83i			1.40186i
$986$	1026.71	−	686.025i	1.04129	−	0.695766i
$987$	14.9694			0.0151665
$988$	54.1984	+	130.847i	0.0548567	+	0.132436i
$989$	530.396	+	793.794i	0.536295	+	0.802623i
$990$	−1093.30	+	1093.30i	−1.10434	+	1.10434i
$991$	−143.735	+	722.604i	−0.145040	+	0.729167i	0.837985	+	0.545694i	$0.183734\pi$
$991$	−143.735	+	722.604i	−0.145040	+	0.729167i	−0.983025	+	0.183473i	$0.941266\pi$
$992$	−8.87670	+	13.2849i	−0.00894829	+	0.0133921i
$993$	7.11841	+	35.7867i	0.00716859	+	0.0360389i
$994$	735.207	+	304.533i	0.739645	+	0.306371i
$995$	−466.981	+	1127.39i	−0.469328	+	1.13306i
$996$	8.92400	−	1.77509i	0.00895984	−	0.00178222i
$997$	145.149	+	96.9855i	0.145586	+	0.0972774i	0.626230	−	0.779638i	$-0.284597\pi$
$997$	145.149	+	96.9855i	0.145586	+	0.0972774i	−0.480644	+	0.876916i	$0.659597\pi$
$998$	465.511	+	92.5960i	0.466444	+	0.0927815i
$999$	−95.4770	−	95.4770i	−0.0955725	−	0.0955725i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	17.3.e.a.5.1	✓	8
3.2	odd	2		153.3.p.b.73.1		8
4.3	odd	2		272.3.bh.c.209.1		8
5.2	odd	4		425.3.t.c.124.1		8
5.3	odd	4		425.3.t.a.124.1		8
5.4	even	2		425.3.u.b.226.1		8
17.2	even	8		289.3.e.k.224.1		8
17.3	odd	16		289.3.e.b.249.1		8
17.4	even	4		289.3.e.m.131.1		8
17.5	odd	16		289.3.e.l.40.1		8
17.6	odd	16		289.3.e.m.214.1		8
17.7	odd	16	inner	17.3.e.a.7.1	yes	8
17.8	even	8		289.3.e.b.65.1		8
17.9	even	8		289.3.e.d.65.1		8
17.10	odd	16		289.3.e.c.75.1		8
17.11	odd	16		289.3.e.i.214.1		8
17.12	odd	16		289.3.e.k.40.1		8
17.13	even	4		289.3.e.i.131.1		8
17.14	odd	16		289.3.e.d.249.1		8
17.15	even	8		289.3.e.l.224.1		8
17.16	even	2		289.3.e.c.158.1		8
51.41	even	16		153.3.p.b.109.1		8
68.7	even	16		272.3.bh.c.177.1		8
85.7	even	16		425.3.t.a.24.1		8
85.24	odd	16		425.3.u.b.126.1		8
85.58	even	16		425.3.t.c.24.1		8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
17.3.e.a.5.1	✓	8	1.1	even	1	trivial
17.3.e.a.7.1	yes	8	17.7	odd	16	inner
153.3.p.b.73.1		8	3.2	odd	2
153.3.p.b.109.1		8	51.41	even	16
272.3.bh.c.177.1		8	68.7	even	16
272.3.bh.c.209.1		8	4.3	odd	2
289.3.e.b.65.1		8	17.8	even	8
289.3.e.b.249.1		8	17.3	odd	16
289.3.e.c.75.1		8	17.10	odd	16
289.3.e.c.158.1		8	17.16	even	2
289.3.e.d.65.1		8	17.9	even	8
289.3.e.d.249.1		8	17.14	odd	16
289.3.e.i.131.1		8	17.13	even	4
289.3.e.i.214.1		8	17.11	odd	16
289.3.e.k.40.1		8	17.12	odd	16
289.3.e.k.224.1		8	17.2	even	8
289.3.e.l.40.1		8	17.5	odd	16
289.3.e.l.224.1		8	17.15	even	8
289.3.e.m.131.1		8	17.4	even	4
289.3.e.m.214.1		8	17.6	odd	16
425.3.t.a.24.1		8	85.7	even	16
425.3.t.a.124.1		8	5.3	odd	4
425.3.t.c.24.1		8	85.58	even	16
425.3.t.c.124.1		8	5.2	odd	4
425.3.u.b.126.1		8	85.24	odd	16
425.3.u.b.226.1		8	5.4	even	2

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:	\( N \)	\(=\)	\( 17 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	17.e (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.841487 - 2.03153i) q^{2} +(0.0897902 + 0.134381i) q^{3} +(-0.590587 + 0.590587i) q^{4} +(-1.04667 + 5.26197i) q^{5} +(0.197441 - 0.295491i) q^{6} +(1.21824 + 6.12453i) q^{7} +(-6.42935 - 2.66313i) q^{8} +(3.43416 - 8.29078i) q^{9} +O(q^{10})\)	\(q+(-0.841487 - 2.03153i) q^{2} +(0.0897902 + 0.134381i) q^{3} +(-0.590587 + 0.590587i) q^{4} +(-1.04667 + 5.26197i) q^{5} +(0.197441 - 0.295491i) q^{6} +(1.21824 + 6.12453i) q^{7} +(-6.42935 - 2.66313i) q^{8} +(3.43416 - 8.29078i) q^{9} +(11.5706 - 2.30154i) q^{10} +(-12.1433 - 8.11392i) q^{11} +(-0.132392 - 0.0263345i) q^{12} +(4.79884 + 4.79884i) q^{13} +(11.4170 - 7.62861i) q^{14} +(-0.801088 + 0.331821i) q^{15} +18.6433i q^{16} +(6.50562 + 15.7060i) q^{17} -19.7328 q^{18} +(-9.56175 - 23.0841i) q^{19} +(-2.48950 - 3.72580i) q^{20} +(-0.713631 + 0.713631i) q^{21} +(-6.26521 + 31.4973i) q^{22} +(7.27639 - 10.8899i) q^{23} +(-0.219421 - 1.10310i) q^{24} +(-3.49585 - 1.44803i) q^{25} +(5.71082 - 13.7871i) q^{26} +(2.84909 - 0.566719i) q^{27} +(-4.33654 - 2.89759i) q^{28} +(32.3980 + 6.44436i) q^{29} +(1.34821 + 1.34821i) q^{30} +(-1.00960 + 0.674593i) q^{31} +(12.1570 - 5.03558i) q^{32} -2.36038i q^{33} +(26.4327 - 26.4327i) q^{34} -33.5022 q^{35} +(2.86826 + 6.92459i) q^{36} +(-25.8238 - 38.6481i) q^{37} +(-38.8500 + 38.8500i) q^{38} +(-0.213982 + 1.07576i) q^{39} +(20.7427 - 31.0437i) q^{40} +(6.13577 + 30.8466i) q^{41} +(2.05027 + 0.849251i) q^{42} +(-27.8948 + 67.3441i) q^{43} +(11.9637 - 2.37972i) q^{44} +(40.0314 + 26.7482i) q^{45} +(-28.2461 - 5.61851i) q^{46} +(-10.4882 - 10.4882i) q^{47} +(-2.50529 + 1.67398i) q^{48} +(9.24438 - 3.82915i) q^{49} +8.32041i q^{50} +(-1.52643 + 2.28447i) q^{51} -5.66826 q^{52} +(-1.97838 - 4.77624i) q^{53} +(-3.54878 - 5.31112i) q^{54} +(55.4053 - 55.4053i) q^{55} +(8.47786 - 42.6211i) q^{56} +(2.24350 - 3.35764i) q^{57} +(-14.1706 - 71.2404i) q^{58} +(26.1013 + 10.8115i) q^{59} +(0.277142 - 0.669081i) q^{60} +(-81.0541 + 16.1227i) q^{61} +(2.22002 + 1.48337i) q^{62} +(54.9608 + 10.9324i) q^{63} +(32.2713 + 32.2713i) q^{64} +(-30.2741 + 20.2285i) q^{65} +(-4.79518 + 1.98623i) q^{66} -44.5324i q^{67} +(-13.1179 - 5.43359i) q^{68} +2.11674 q^{69} +(28.1917 + 68.0607i) q^{70} +(32.1978 + 48.1875i) q^{71} +(-44.1588 + 44.1588i) q^{72} +(-0.262865 + 1.32151i) q^{73} +(-56.7843 + 84.9838i) q^{74} +(-0.119306 - 0.599792i) q^{75} +(19.2802 + 7.98612i) q^{76} +(34.9004 - 84.2570i) q^{77} +(2.36550 - 0.470527i) q^{78} +(-24.7128 - 16.5125i) q^{79} +(-98.1004 - 19.5134i) q^{80} +(-56.7774 - 56.7774i) q^{81} +(57.5026 - 38.4220i) q^{82} +(-62.2748 + 25.7951i) q^{83} -0.842922i q^{84} +(-89.4535 + 17.7934i) q^{85} +160.285 q^{86} +(2.04303 + 4.93230i) q^{87} +(56.4655 + 84.5065i) q^{88} +(90.1397 - 90.1397i) q^{89} +(20.6537 - 103.833i) q^{90} +(-23.5444 + 35.2368i) q^{91} +(2.13408 + 10.7288i) q^{92} +(-0.181304 - 0.0750988i) q^{93} +(-12.4814 + 30.1327i) q^{94} +(131.476 - 26.1522i) q^{95} +(1.76826 + 1.18151i) q^{96} +(-66.3366 - 13.1952i) q^{97} +(-15.5581 - 15.5581i) q^{98} +(-108.973 + 72.8134i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q - 8 q^{2} - 8 q^{3} + 16 q^{5} - 8 q^{6} + 8 q^{7} - 24 q^{8} - 16 q^{9}+O(q^{10}) \) 8 * q - 8 * q^2 - 8 * q^3 + 16 * q^5 - 8 * q^6 + 8 * q^7 - 24 * q^8 - 16 * q^9	\( 8 q - 8 q^{2} - 8 q^{3} + 16 q^{5} - 8 q^{6} + 8 q^{7} - 24 q^{8} - 16 q^{9} + 16 q^{10} - 8 q^{11} + 48 q^{12} + 16 q^{13} + 8 q^{14} - 16 q^{15} + 56 q^{18} - 80 q^{20} - 64 q^{21} - 104 q^{22} - 56 q^{23} - 80 q^{24} + 64 q^{25} + 176 q^{26} + 40 q^{27} + 152 q^{28} + 48 q^{29} + 16 q^{30} + 24 q^{31} + 88 q^{32} - 136 q^{34} - 160 q^{35} - 128 q^{36} + 32 q^{37} - 120 q^{38} + 48 q^{39} + 64 q^{40} + 48 q^{41} + 16 q^{42} - 232 q^{43} + 120 q^{44} - 88 q^{46} + 192 q^{47} + 136 q^{48} + 16 q^{49} + 136 q^{51} - 384 q^{52} - 32 q^{53} + 8 q^{54} + 224 q^{55} - 120 q^{56} + 24 q^{57} + 240 q^{58} - 48 q^{59} + 64 q^{60} - 160 q^{61} - 168 q^{62} + 56 q^{63} - 64 q^{64} - 96 q^{65} - 8 q^{66} + 272 q^{68} + 240 q^{69} + 224 q^{70} + 40 q^{71} + 40 q^{72} + 48 q^{73} - 160 q^{74} - 296 q^{75} + 80 q^{76} - 48 q^{77} - 400 q^{78} - 136 q^{79} - 240 q^{80} - 424 q^{81} - 64 q^{82} - 264 q^{83} - 272 q^{85} + 832 q^{86} + 208 q^{87} + 264 q^{88} + 160 q^{89} + 448 q^{90} + 320 q^{91} + 24 q^{92} - 64 q^{93} + 32 q^{94} + 272 q^{95} - 56 q^{96} + 48 q^{97} - 120 q^{98} - 224 q^{99}+O(q^{100}) \) 8 * q - 8 * q^2 - 8 * q^3 + 16 * q^5 - 8 * q^6 + 8 * q^7 - 24 * q^8 - 16 * q^9 + 16 * q^10 - 8 * q^11 + 48 * q^12 + 16 * q^13 + 8 * q^14 - 16 * q^15 + 56 * q^18 - 80 * q^20 - 64 * q^21 - 104 * q^22 - 56 * q^23 - 80 * q^24 + 64 * q^25 + 176 * q^26 + 40 * q^27 + 152 * q^28 + 48 * q^29 + 16 * q^30 + 24 * q^31 + 88 * q^32 - 136 * q^34 - 160 * q^35 - 128 * q^36 + 32 * q^37 - 120 * q^38 + 48 * q^39 + 64 * q^40 + 48 * q^41 + 16 * q^42 - 232 * q^43 + 120 * q^44 - 88 * q^46 + 192 * q^47 + 136 * q^48 + 16 * q^49 + 136 * q^51 - 384 * q^52 - 32 * q^53 + 8 * q^54 + 224 * q^55 - 120 * q^56 + 24 * q^57 + 240 * q^58 - 48 * q^59 + 64 * q^60 - 160 * q^61 - 168 * q^62 + 56 * q^63 - 64 * q^64 - 96 * q^65 - 8 * q^66 + 272 * q^68 + 240 * q^69 + 224 * q^70 + 40 * q^71 + 40 * q^72 + 48 * q^73 - 160 * q^74 - 296 * q^75 + 80 * q^76 - 48 * q^77 - 400 * q^78 - 136 * q^79 - 240 * q^80 - 424 * q^81 - 64 * q^82 - 264 * q^83 - 272 * q^85 + 832 * q^86 + 208 * q^87 + 264 * q^88 + 160 * q^89 + 448 * q^90 + 320 * q^91 + 24 * q^92 - 64 * q^93 + 32 * q^94 + 272 * q^95 - 56 * q^96 + 48 * q^97 - 120 * q^98 - 224 * q^99

Introduction

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