LMFDB - Embedded newform 115.2.j.a.29.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [115,2,Mod(4,115)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(115, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 4]))

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

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

chi := DirichletCharacter("115.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 115 = 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	115.j (of order $22$, degree $10$, 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:	$0.918279623245$
Analytic rank:	$0$
Dimension:	$100$
Relative dimension:	$10$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			29.7
Character	$\chi$	$=$	115.29
Dual form			115.2.j.a.4.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.477984 + 0.218288i) q^{2} +(0.663307 - 2.25902i) q^{3} +(-1.12890 - 1.30282i) q^{4} +(-2.15745 + 0.587726i) q^{5} +(0.810167 - 0.934983i) q^{6} +(3.03882 + 0.436916i) q^{7} +(-0.551291 - 1.87752i) q^{8} +(-2.13942 - 1.37492i) q^{9} +O(q^{10})$	\(q+(0.477984 + 0.218288i) q^{2} +(0.663307 - 2.25902i) q^{3} +(-1.12890 - 1.30282i) q^{4} +(-2.15745 + 0.587726i) q^{5} +(0.810167 - 0.934983i) q^{6} +(3.03882 + 0.436916i) q^{7} +(-0.551291 - 1.87752i) q^{8} +(-2.13942 - 1.37492i) q^{9} +(-1.15952 - 0.190022i) q^{10} +(0.639358 + 1.40000i) q^{11} +(-3.69191 + 1.68604i) q^{12} +(2.46613 - 0.354576i) q^{13} +(1.35713 + 0.872177i) q^{14} +(-0.103368 + 5.26355i) q^{15} +(-0.344335 + 2.39490i) q^{16} +(-0.765539 - 0.663343i) q^{17} +(-0.722480 - 1.12420i) q^{18} +(4.34173 + 5.01062i) q^{19} +(3.20125 + 2.14729i) q^{20} +(3.00267 - 6.57493i) q^{21} +0.808742i q^{22} +(-4.70182 + 0.944904i) q^{23} -4.60703 q^{24} +(4.30916 - 2.53597i) q^{25} +(1.25617 + 0.368845i) q^{26} +(0.812918 - 0.704397i) q^{27} +(-2.86130 - 4.45227i) q^{28} +(1.91799 - 2.21348i) q^{29} +(-1.19838 + 2.49333i) q^{30} +(-8.97455 + 2.63517i) q^{31} +(-2.80320 + 4.36187i) q^{32} +(3.58671 - 0.515691i) q^{33} +(-0.221116 - 0.484176i) q^{34} +(-6.81287 + 0.843367i) q^{35} +(0.623916 + 4.33943i) q^{36} +(-4.50401 + 7.00838i) q^{37} +(0.981520 + 3.34275i) q^{38} +(0.834809 - 5.80622i) q^{39} +(2.29285 + 3.72665i) q^{40} +(-2.93712 + 1.88758i) q^{41} +(2.87046 - 2.48727i) q^{42} +(3.05193 - 10.3939i) q^{43} +(1.10218 - 2.41343i) q^{44} +(5.42376 + 1.70893i) q^{45} +(-2.45366 - 0.574703i) q^{46} -6.01433i q^{47} +(5.18172 + 2.36641i) q^{48} +(2.32706 + 0.683286i) q^{49} +(2.61328 - 0.271518i) q^{50} +(-2.00629 + 1.28937i) q^{51} +(-3.24597 - 2.81265i) q^{52} +(-0.472909 - 0.0679941i) q^{53} +(0.542324 - 0.159241i) q^{54} +(-2.20220 - 2.64466i) q^{55} +(-0.854952 - 5.94632i) q^{56} +(14.1990 - 6.48446i) q^{57} +(1.39994 - 0.639333i) q^{58} +(1.15651 + 8.04367i) q^{59} +(6.97417 - 5.80736i) q^{60} +(2.28378 - 0.670578i) q^{61} +(-4.86492 - 0.699470i) q^{62} +(-5.90058 - 5.11288i) q^{63} +(1.77884 - 1.14319i) q^{64} +(-5.11216 + 2.21439i) q^{65} +(1.82696 + 0.536444i) q^{66} +(4.81628 + 2.19952i) q^{67} +1.74621i q^{68} +(-0.984201 + 11.2483i) q^{69} +(-3.44054 - 1.08405i) q^{70} +(-3.69107 + 8.08231i) q^{71} +(-1.40201 + 4.77479i) q^{72} +(3.01277 - 2.61058i) q^{73} +(-3.68269 + 2.36672i) q^{74} +(-2.87051 - 11.4166i) q^{75} +(1.62657 - 11.3130i) q^{76} +(1.33121 + 4.53369i) q^{77} +(1.66646 - 2.59306i) q^{78} +(-1.08101 - 7.51856i) q^{79} +(-0.664661 - 5.36925i) q^{80} +(-4.22140 - 9.24357i) q^{81} +(-1.81594 + 0.261092i) q^{82} +(-8.17334 + 12.7180i) q^{83} +(-11.9557 + 3.51050i) q^{84} +(2.04147 + 0.981202i) q^{85} +(3.72765 - 4.30193i) q^{86} +(-3.72806 - 5.80098i) q^{87} +(2.27606 - 1.97222i) q^{88} +(7.12317 + 2.09155i) q^{89} +(2.21943 + 2.00078i) q^{90} +7.64904 q^{91} +(6.53894 + 5.05894i) q^{92} +22.0216i q^{93} +(1.31286 - 2.87476i) q^{94} +(-12.3119 - 8.25841i) q^{95} +(7.99415 + 9.22575i) q^{96} +(2.20825 + 3.43610i) q^{97} +(0.963144 + 0.834569i) q^{98} +(0.557033 - 3.87425i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 100 q - 14 q^{4} - 9 q^{5} - 18 q^{6} - 12 q^{9}+O(q^{10}) $ 100 * q - 14 * q^4 - 9 * q^5 - 18 * q^6 - 12 * q^9	$ 100 q - 14 q^{4} - 9 q^{5} - 18 q^{6} - 12 q^{9} - 13 q^{10} - 26 q^{11} - 26 q^{14} - 10 q^{15} - 18 q^{16} - 14 q^{19} + 49 q^{20} - 22 q^{21} - 68 q^{24} + 21 q^{25} - 42 q^{26} - 24 q^{29} + 19 q^{30} - 12 q^{31} + 8 q^{34} - 37 q^{35} - 10 q^{36} + 14 q^{39} - q^{40} + 8 q^{41} + 166 q^{44} - 42 q^{45} - 18 q^{46} + 32 q^{49} - 23 q^{50} - 22 q^{51} + 116 q^{54} + 27 q^{55} - 116 q^{56} + 50 q^{59} + 123 q^{60} - 38 q^{61} + 10 q^{64} + 76 q^{65} - 28 q^{66} + 80 q^{69} + 102 q^{70} - 110 q^{71} + 22 q^{74} + 6 q^{75} + 4 q^{76} + 42 q^{79} + 18 q^{80} + 204 q^{81} + 56 q^{84} - 121 q^{85} + 132 q^{86} - 66 q^{89} - 198 q^{90} + 76 q^{91} - 70 q^{94} - 74 q^{95} + 236 q^{96} - 60 q^{99}+O(q^{100}) $ 100 * q - 14 * q^4 - 9 * q^5 - 18 * q^6 - 12 * q^9 - 13 * q^10 - 26 * q^11 - 26 * q^14 - 10 * q^15 - 18 * q^16 - 14 * q^19 + 49 * q^20 - 22 * q^21 - 68 * q^24 + 21 * q^25 - 42 * q^26 - 24 * q^29 + 19 * q^30 - 12 * q^31 + 8 * q^34 - 37 * q^35 - 10 * q^36 + 14 * q^39 - q^40 + 8 * q^41 + 166 * q^44 - 42 * q^45 - 18 * q^46 + 32 * q^49 - 23 * q^50 - 22 * q^51 + 116 * q^54 + 27 * q^55 - 116 * q^56 + 50 * q^59 + 123 * q^60 - 38 * q^61 + 10 * q^64 + 76 * q^65 - 28 * q^66 + 80 * q^69 + 102 * q^70 - 110 * q^71 + 22 * q^74 + 6 * q^75 + 4 * q^76 + 42 * q^79 + 18 * q^80 + 204 * q^81 + 56 * q^84 - 121 * q^85 + 132 * q^86 - 66 * q^89 - 198 * q^90 + 76 * q^91 - 70 * q^94 - 74 * q^95 + 236 * q^96 - 60 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/115\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$-1$	$e\left(\frac{9}{11}\right)$

Coefficient data

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

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

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

$2$	0.477984	+	0.218288i	0.337986	+	0.154353i	0.577176	−	0.816620i	$-0.304155\pi$
$2$	0.477984	+	0.218288i	0.337986	+	0.154353i	−0.239190	+	0.970973i	$0.576882\pi$
$3$	0.663307	−	2.25902i	0.382961	−	1.30424i	−0.512341	−	0.858782i	$-0.671221\pi$
$3$	0.663307	−	2.25902i	0.382961	−	1.30424i	0.895301	−	0.445461i	$-0.146960\pi$
$4$	−1.12890	−	1.30282i	−0.564451	−	0.651411i
$5$	−2.15745	+	0.587726i	−0.964840	+	0.262839i
$5$	−2.15745	+	0.587726i	−0.964840	+	0.262839i
$6$	0.810167	−	0.934983i	0.330749	−	0.381705i
$7$	3.03882	+	0.436916i	1.14856	+	0.165139i	0.690195	−	0.723623i	$-0.257525\pi$
$7$	3.03882	+	0.436916i	1.14856	+	0.165139i	0.458369	+	0.888762i	$0.348434\pi$
$8$	−0.551291	−	1.87752i	−0.194911	−	0.663805i
$9$	−2.13942	−	1.37492i	−0.713139	−	0.458307i
$10$	−1.15952	−	0.190022i	−0.366672	−	0.0600901i
$11$	0.639358	+	1.40000i	0.192774	+	0.422116i	0.981195	−	0.193020i	$-0.0618284\pi$
$11$	0.639358	+	1.40000i	0.192774	+	0.422116i	−0.788421	+	0.615136i	$0.789101\pi$
$12$	−3.69191	+	1.68604i	−1.06576	+	0.486717i
$13$	2.46613	−	0.354576i	0.683982	−	0.0983417i	0.208440	−	0.978035i	$-0.433161\pi$
$13$	2.46613	−	0.354576i	0.683982	−	0.0983417i	0.475541	+	0.879693i	$0.342252\pi$
$14$	1.35713	+	0.872177i	0.362709	+	0.233099i
$15$	−0.103368	+	5.26355i	−0.0266896	+	1.35904i
$16$	−0.344335	+	2.39490i	−0.0860837	+	0.598725i
$17$	−0.765539	−	0.663343i	−0.185671	−	0.160884i	0.557066	−	0.830468i	$-0.311927\pi$
$17$	−0.765539	−	0.663343i	−0.185671	−	0.160884i	−0.742737	+	0.669584i	$0.766472\pi$
$18$	−0.722480	−	1.12420i	−0.170290	−	0.264977i
$19$	4.34173	+	5.01062i	0.996061	+	1.14952i	0.988755	+	0.149543i	$0.0477802\pi$
$19$	4.34173	+	5.01062i	0.996061	+	1.14952i	0.00730613	+	0.999973i	$0.497674\pi$
$20$	3.20125	+	2.14729i	0.715821	+	0.480148i
$21$	3.00267	−	6.57493i	0.655236	−	1.43477i
$22$			0.808742i			0.172424i
$23$	−4.70182	+	0.944904i	−0.980398	+	0.197026i
$23$	−4.70182	+	0.944904i	−0.980398	+	0.197026i
$24$	−4.60703			−0.940407
$25$	4.30916	−	2.53597i	0.861831	−	0.507195i
$26$	1.25617	+	0.368845i	0.246356	+	0.0723365i
$27$	0.812918	−	0.704397i	0.156446	−	0.135561i
$28$	−2.86130	−	4.45227i	−0.540735	−	0.841401i
$29$	1.91799	−	2.21348i	0.356161	−	0.411032i	−0.549188	−	0.835699i	$-0.685063\pi$
$29$	1.91799	−	2.21348i	0.356161	−	0.411032i	0.905350	+	0.424666i	$0.139609\pi$
$30$	−1.19838	+	2.49333i	−0.218793	+	0.455218i
$31$	−8.97455	+	2.63517i	−1.61188	+	0.473290i	−0.958819	−	0.284018i	$-0.908332\pi$
$31$	−8.97455	+	2.63517i	−1.61188	+	0.473290i	−0.653058	+	0.757308i	$0.726514\pi$
$32$	−2.80320	+	4.36187i	−0.495541	+	0.771077i
$33$	3.58671	−	0.515691i	0.624366	−	0.0897703i
$34$	−0.221116	−	0.484176i	−0.0379210	−	0.0830355i
$35$	−6.81287	+	0.843367i	−1.15159	+	0.142555i
$36$	0.623916	+	4.33943i	0.103986	+	0.723239i
$37$	−4.50401	+	7.00838i	−0.740455	+	1.15217i	0.242825	+	0.970070i	$0.421926\pi$
$37$	−4.50401	+	7.00838i	−0.740455	+	1.15217i	−0.983280	+	0.182100i	$0.941711\pi$
$38$	0.981520	+	3.34275i	0.159224	+	0.542266i
$39$	0.834809	−	5.80622i	0.133676	−	0.929740i
$40$	2.29285	+	3.72665i	0.362531	+	0.589235i
$41$	−2.93712	+	1.88758i	−0.458702	+	0.294790i	−0.749512	−	0.661991i	$-0.769712\pi$
$41$	−2.93712	+	1.88758i	−0.458702	+	0.294790i	0.290810	+	0.956781i	$0.406075\pi$
$42$	2.87046	−	2.48727i	0.442921	−	0.383793i
$43$	3.05193	−	10.3939i	0.465415	−	1.58506i	−0.308147	−	0.951339i	$-0.599709\pi$
$43$	3.05193	−	10.3939i	0.465415	−	1.58506i	0.773562	−	0.633720i	$-0.218473\pi$
$44$	1.10218	−	2.41343i	0.166159	−	0.363839i
$45$	5.42376	+	1.70893i	0.808526	+	0.254752i
$46$	−2.45366	−	0.574703i	−0.361772	−	0.0847354i
$47$		−	6.01433i		−	0.877281i	−0.898663	−	0.438640i	$-0.855460\pi$
$47$		−	6.01433i		−	0.877281i	0.898663	−	0.438640i	$-0.144540\pi$
$48$	5.18172	+	2.36641i	0.747917	+	0.341562i
$49$	2.32706	+	0.683286i	0.332437	+	0.0976123i
$50$	2.61328	−	0.271518i	0.369574	−	0.0383984i
$51$	−2.00629	+	1.28937i	−0.280937	+	0.180547i
$52$	−3.24597	−	2.81265i	−0.450135	−	0.390044i
$53$	−0.472909	−	0.0679941i	−0.0649591	−	0.00933970i	0.109759	−	0.993958i	$-0.464992\pi$
$53$	−0.472909	−	0.0679941i	−0.0649591	−	0.00933970i	−0.174718	+	0.984619i	$0.555901\pi$
$54$	0.542324	−	0.159241i	0.0738009	−	0.0216699i
$55$	−2.20220	−	2.64466i	−0.296944	−	0.356605i
$56$	−0.854952	−	5.94632i	−0.114248	−	0.794610i
$57$	14.1990	−	6.48446i	1.88070	−	0.858888i
$58$	1.39994	−	0.639333i	0.183822	−	0.0839486i
$59$	1.15651	+	8.04367i	0.150564	+	1.04720i	0.915277	+	0.402825i	$0.131972\pi$
$59$	1.15651	+	8.04367i	0.150564	+	1.04720i	−0.764713	+	0.644371i	$0.777119\pi$
$60$	6.97417	−	5.80736i	0.900361	−	0.749727i
$61$	2.28378	−	0.670578i	0.292408	−	0.0858587i	−0.132239	−	0.991218i	$-0.542217\pi$
$61$	2.28378	−	0.670578i	0.292408	−	0.0858587i	0.424647	+	0.905359i	$0.360398\pi$
$62$	−4.86492	−	0.699470i	−0.617846	−	0.0888328i
$63$	−5.90058	−	5.11288i	−0.743403	−	0.644162i
$64$	1.77884	−	1.14319i	0.222355	−	0.142899i
$65$	−5.11216	+	2.21439i	−0.634085	+	0.274661i
$66$	1.82696	+	0.536444i	0.224883	+	0.0660317i
$67$	4.81628	+	2.19952i	0.588402	+	0.268714i	0.687288	−	0.726385i	$-0.258801\pi$
$67$	4.81628	+	2.19952i	0.588402	+	0.268714i	−0.0988867	+	0.995099i	$0.531528\pi$
$68$			1.74621i			0.211759i
$69$	−0.984201	+	11.2483i	−0.118484	+	1.35413i
$70$	−3.44054	−	1.08405i	−0.411224	−	0.129569i
$71$	−3.69107	+	8.08231i	−0.438049	+	0.959194i	0.553903	+	0.832581i	$0.313138\pi$
$71$	−3.69107	+	8.08231i	−0.438049	+	0.959194i	−0.991952	+	0.126613i	$0.959589\pi$
$72$	−1.40201	+	4.77479i	−0.165228	+	0.562715i
$73$	3.01277	−	2.61058i	0.352619	−	0.305546i	−0.460482	−	0.887669i	$-0.652323\pi$
$73$	3.01277	−	2.61058i	0.352619	−	0.305546i	0.813101	+	0.582123i	$0.197778\pi$
$74$	−3.68269	+	2.36672i	−0.428104	+	0.275126i
$75$	−2.87051	−	11.4166i	−0.331458	−	1.31827i
$76$	1.62657	−	11.3130i	0.186580	−	1.29769i
$77$	1.33121	+	4.53369i	0.151705	+	0.516661i
$78$	1.66646	−	2.59306i	0.188689	−	0.293606i
$79$	−1.08101	−	7.51856i	−0.121623	−	0.845904i	−0.955718	−	0.294284i	$-0.904919\pi$
$79$	−1.08101	−	7.51856i	−0.121623	−	0.845904i	0.834096	−	0.551620i	$-0.185990\pi$
$80$	−0.664661	−	5.36925i	−0.0743113	−	0.600300i
$81$	−4.22140	−	9.24357i	−0.469044	−	1.02706i
$82$	−1.81594	+	0.261092i	−0.200536	+	0.0288328i
$83$	−8.17334	+	12.7180i	−0.897140	+	1.39598i	0.0210242	+	0.999779i	$0.493307\pi$
$83$	−8.17334	+	12.7180i	−0.897140	+	1.39598i	−0.918165	+	0.396199i	$0.870329\pi$
$84$	−11.9557	+	3.51050i	−1.30447	+	0.383027i
$85$	2.04147	+	0.981202i	0.221429	+	0.106426i
$86$	3.72765	−	4.30193i	0.401963	−	0.463890i
$87$	−3.72806	−	5.80098i	−0.399690	−	0.621931i
$88$	2.27606	−	1.97222i	0.242629	−	0.210239i
$89$	7.12317	+	2.09155i	0.755055	+	0.221704i	0.636535	−	0.771248i	$-0.280367\pi$
$89$	7.12317	+	2.09155i	0.755055	+	0.221704i	0.118519	+	0.992952i	$0.462185\pi$
$90$	2.21943	+	2.00078i	0.233949	+	0.210901i
$91$	7.64904			0.801837
$92$	6.53894	+	5.05894i	0.681732	+	0.527431i
$93$			22.0216i			2.28353i
$94$	1.31286	−	2.87476i	0.135411	−	0.296509i
$95$	−12.3119	−	8.25841i	−1.26318	−	0.847295i
$96$	7.99415	+	9.22575i	0.815900	+	0.941599i
$97$	2.20825	+	3.43610i	0.224214	+	0.348883i	0.935076	−	0.354448i	$-0.115331\pi$
$97$	2.20825	+	3.43610i	0.224214	+	0.348883i	−0.710862	+	0.703332i	$0.751695\pi$
$98$	0.963144	+	0.834569i	0.0972923	+	0.0843042i
$99$	0.557033	−	3.87425i	0.0559839	−	0.389377i
$100$	−8.16854	−	2.75120i	−0.816854	−	0.275120i
$101$	6.75893	+	4.34370i	0.672539	+	0.432214i	0.831840	−	0.555016i	$-0.187288\pi$
$101$	6.75893	+	4.34370i	0.672539	+	0.432214i	−0.159301	+	0.987230i	$0.550924\pi$
$102$	−1.24043	+	0.178347i	−0.122821	+	0.0176590i
$103$	−11.0603	+	5.05109i	−1.08981	+	0.497699i	−0.877536	−	0.479512i	$-0.840814\pi$
$103$	−11.0603	+	5.05109i	−1.08981	+	0.497699i	−0.212273	+	0.977210i	$0.568087\pi$
$104$	−2.02528	−	4.43475i	−0.198595	−	0.434863i
$105$	−2.61385	+	15.9498i	−0.255085	+	1.55654i
$106$	−0.211201	−	0.135731i	−0.0205136	−	0.0131833i
$107$	−3.45137	−	11.7543i	−0.333656	−	1.13633i	−0.940014	−	0.341137i	$-0.889188\pi$
$107$	−3.45137	−	11.7543i	−0.333656	−	1.13633i	0.606358	−	0.795192i	$-0.292630\pi$
$108$	−1.83541	−	0.263892i	−0.176612	−	0.0253930i
$109$	−1.07876	+	1.24495i	−0.103326	+	0.119245i	−0.805057	−	0.593197i	$-0.797865\pi$
$109$	−1.07876	+	1.24495i	−0.103326	+	0.119245i	0.701731	+	0.712442i	$0.252411\pi$
$110$	−0.475318	−	1.74482i	−0.0453198	−	0.166362i
$111$	12.8445	+	14.8233i	1.21915	+	1.40697i
$112$	−2.09274	+	7.12722i	−0.197745	+	0.673459i
$113$	−8.19242	−	3.74135i	−0.770678	−	0.351957i	−0.00903961	−	0.999959i	$-0.502877\pi$
$113$	−8.19242	−	3.74135i	−0.770678	−	0.351957i	−0.761638	+	0.648002i	$0.775605\pi$
$114$	8.20237			0.768223
$115$	9.58859	−	4.80196i	0.894141	−	0.447785i
$116$	−5.04899			−0.468787
$117$	−5.76360	−	2.63215i	−0.532845	−	0.243342i
$118$	−1.20305	+	4.09720i	−0.110749	+	0.377178i
$119$	−2.03651	−	2.35026i	−0.186686	−	0.215448i
$120$	9.93943	−	2.70767i	0.907342	−	0.247176i
$121$	5.65225	−	6.52304i	0.513841	−	0.593004i
$122$	1.23799	+	0.177996i	0.112082	+	0.0161150i
$123$	2.31585	+	7.88705i	0.208813	+	0.711152i
$124$	13.5645	+	8.71740i	1.21813	+	0.782846i
$125$	−7.80632	+	8.00383i	−0.698219	+	0.715885i
$126$	−1.70430	−	3.73190i	−0.151831	−	0.332464i
$127$	−6.03439	+	2.75582i	−0.535466	+	0.244539i	−0.664747	−	0.747069i	$-0.731460\pi$
$127$	−6.03439	+	2.75582i	−0.535466	+	0.244539i	0.129281	+	0.991608i	$0.458733\pi$
$128$	11.3642	−	1.63392i	1.00446	−	0.144420i
$129$	−21.4557	−	13.7887i	−1.88907	−	1.21403i
$130$	−2.92691	−	0.0574800i	−0.256707	−	0.00504133i
$131$	−0.0907186	+	0.630962i	−0.00792612	+	0.0551274i	−0.993401	−	0.114696i	$-0.963411\pi$
$131$	−0.0907186	+	0.630962i	−0.00792612	+	0.0551274i	0.985475	+	0.169823i	$0.0543197\pi$
$132$	−4.72090	−	4.09068i	−0.410902	−	0.356048i
$133$	11.0045	+	17.1233i	0.954211	+	1.48478i
$134$	1.82198	+	2.10267i	0.157395	+	0.181643i
$135$	−1.33983	+	1.99747i	−0.115315	+	0.171915i
$136$	−0.823409	+	1.80301i	−0.0706067	+	0.154607i
$137$		−	16.8911i		−	1.44310i	−0.692360	−	0.721552i	$-0.743429\pi$
$137$		−	16.8911i		−	1.44310i	0.692360	−	0.721552i	$-0.256571\pi$
$138$	−2.92579	+	5.16165i	−0.249060	+	0.439389i
$139$	−9.84075			−0.834681			−0.417341	−	0.908750i	$-0.637038\pi$
$139$	−9.84075			−0.834681			−0.417341	+	0.908750i	$0.637038\pi$
$140$	8.78982	+	7.92388i	0.742876	+	0.669690i
$141$	−13.5865	−	3.98935i	−1.14419	−	0.335964i
$142$	−3.52855	+	3.05750i	−0.296109	+	0.256580i
$143$	2.07315	+	3.22588i	0.173365	+	0.269762i
$144$	4.02948	−	4.65026i	0.335790	−	0.387522i
$145$	−2.83704	+	5.90271i	−0.235604	+	0.490193i
$146$	2.00992	−	0.590165i	0.166342	−	0.0488424i
$147$	3.08711	−	4.80363i	0.254620	−	0.396197i
$148$	14.2153	−	2.04385i	1.16849	−	0.168003i
$149$	0.273366	+	0.598589i	0.0223950	+	0.0490383i	0.920499	−	0.390745i	$-0.127783\pi$
$149$	0.273366	+	0.598589i	0.0223950	+	0.0490383i	−0.898104	+	0.439783i	$0.855055\pi$
$150$	1.12005	−	6.08355i	0.0914513	−	0.496720i
$151$	−0.627769	−	4.36623i	−0.0510871	−	0.355319i	−0.999291	−	0.0376556i	$-0.988011\pi$
$151$	−0.627769	−	4.36623i	−0.0510871	−	0.355319i	0.948204	−	0.317663i	$-0.102898\pi$
$152$	7.01401	−	10.9140i	0.568912	−	0.885244i
$153$	0.725764	+	2.47172i	0.0586745	+	0.199827i
$154$	−0.353352	+	2.45762i	−0.0284739	+	0.198041i
$155$	17.8134	−	10.9598i	1.43080	−	0.880313i
$156$	−8.50690	+	5.46705i	−0.681097	+	0.437714i
$157$	−0.541721	+	0.469404i	−0.0432340	+	0.0374625i	−0.676210	−	0.736709i	$-0.736379\pi$
$157$	−0.541721	+	0.469404i	−0.0432340	+	0.0374625i	0.632976	+	0.774172i	$0.281833\pi$
$158$	1.12451	−	3.82972i	0.0894611	−	0.304676i
$159$	−0.467284	+	1.02321i	−0.0370580	+	0.0811457i
$160$	3.48418	−	11.0580i	0.275449	−	0.874213i
$161$	−14.7008	+	0.817087i	−1.15859	+	0.0643955i
$162$		−	5.33976i		−	0.419531i
$163$	−22.9342	−	10.4737i	−1.79634	−	0.820362i	−0.963907	−	0.266237i	$-0.914219\pi$
$163$	−22.9342	−	10.4737i	−1.79634	−	0.820362i	−0.832434	−	0.554124i	$-0.813053\pi$
$164$	5.77490	+	1.69566i	0.450944	+	0.132409i
$165$	−7.43506	+	3.22058i	−0.578818	+	0.250722i
$166$	−6.68291	+	4.29485i	−0.518694	+	0.333345i
$167$	4.26661	+	3.69704i	0.330160	+	0.286085i	0.804127	−	0.594457i	$-0.202633\pi$
$167$	4.26661	+	3.69704i	0.330160	+	0.286085i	−0.473967	+	0.880542i	$0.657179\pi$
$168$	−13.9999	−	2.01289i	−1.08012	−	0.155298i
$169$	−6.51733	+	1.91366i	−0.501333	+	0.147205i
$170$	0.761608	+	0.914629i	0.0584127	+	0.0701488i
$171$	−2.39957	−	16.6894i	−0.183500	−	1.27627i
$172$	−16.9868	+	7.75760i	−1.29523	+	0.591512i
$173$	14.0330	−	6.40867i	1.06691	−	0.487242i	0.196977	−	0.980408i	$-0.436888\pi$
$173$	14.0330	−	6.40867i	1.06691	−	0.487242i	0.869935	+	0.493166i	$0.164160\pi$
$174$	−0.515671	−	3.58657i	−0.0390929	−	0.271897i
$175$	14.2027	−	5.82362i	1.07363	−	0.440224i
$176$	−3.57301	+	1.04913i	−0.269326	+	0.0790812i
$177$	18.9379	+	2.72286i	1.42346	+	0.204663i
$178$	2.94820	+	2.55463i	0.220977	+	0.191478i
$179$	20.9513	−	13.4646i	1.56598	−	1.00639i	0.585285	−	0.810828i	$-0.300983\pi$
$179$	20.9513	−	13.4646i	1.56598	−	1.00639i	0.980691	−	0.195564i	$-0.0626537\pi$
$180$	−3.89646	−	8.99541i	−0.290425	−	0.670478i
$181$	7.92021	+	2.32558i	0.588704	+	0.172859i	0.562500	−	0.826797i	$-0.309840\pi$
$181$	7.92021	+	2.32558i	0.588704	+	0.172859i	0.0262045	+	0.999657i	$0.491658\pi$
$182$	3.65612	+	1.66970i	0.271010	+	0.123766i
$183$		−	5.60389i		−	0.414252i
$184$	4.36615	+	8.30687i	0.321877	+	0.612391i
$185$	5.59816	−	17.7673i	0.411585	−	1.30628i
$186$	−4.80705	+	10.5260i	−0.352470	+	0.771802i
$187$	0.439226	−	1.49587i	0.0321194	−	0.109389i
$188$	−7.83561	+	6.78959i	−0.571471	+	0.495182i
$189$	2.77807	−	1.78536i	0.202075	−	0.129866i
$190$	−4.08220	−	6.63494i	−0.296154	−	0.481349i
$191$	−2.29599	+	15.9689i	−0.166132	+	1.15547i	0.720655	+	0.693294i	$0.243841\pi$
$191$	−2.29599	+	15.9689i	−0.166132	+	1.15547i	−0.886787	+	0.462179i	$0.847068\pi$
$192$	−1.40257	−	4.77672i	−0.101222	−	0.344730i
$193$	6.51962	−	10.1447i	0.469293	−	0.730234i	−0.523243	−	0.852183i	$-0.675278\pi$
$193$	6.51962	−	10.1447i	0.469293	−	0.730234i	0.992536	+	0.121949i	$0.0389145\pi$
$194$	0.305448	+	2.12444i	0.0219299	+	0.152526i
$195$	1.61141	+	13.0173i	0.115396	+	0.932186i
$196$	−1.73682	−	3.80311i	−0.124059	−	0.271650i
$197$	20.5909	−	2.96053i	1.46704	−	0.210929i	0.637966	−	0.770065i	$-0.279776\pi$
$197$	20.5909	−	2.96053i	1.46704	−	0.210929i	0.829076	+	0.559136i	$0.188867\pi$
$198$	1.11196	−	1.73024i	0.0790233	−	0.122963i
$199$	−6.66748	+	1.95775i	−0.472645	+	0.138781i	−0.509376	−	0.860544i	$-0.670124\pi$
$199$	−6.66748	+	1.95775i	−0.472645	+	0.138781i	0.0367310	+	0.999325i	$0.488306\pi$
$200$	−7.13695	−	6.69249i	−0.504659	−	0.473230i
$201$	8.16342	−	9.42109i	0.575803	−	0.664512i
$202$	2.28249	+	3.55162i	0.160595	+	0.249891i
$203$	6.79552	−	5.88835i	0.476952	−	0.413281i
$204$	3.94472	+	1.15827i	0.276186	+	0.0810954i
$205$	5.22731	−	5.79857i	0.365092	−	0.404990i
$206$	−6.38927			−0.445161
$207$	11.3583	+	4.44309i	0.789459	+	0.308816i
$208$			6.02823i			0.417983i
$209$	−4.23895	+	9.28200i	−0.293214	+	0.642049i
$210$	−4.73103	+	7.05319i	−0.326472	+	0.486716i
$211$	2.41845	+	2.79104i	0.166493	+	0.192143i	0.832865	−	0.553476i	$-0.186699\pi$
$211$	2.41845	+	2.79104i	0.166493	+	0.192143i	−0.666372	+	0.745620i	$0.732154\pi$
$212$	0.445284	+	0.692875i	0.0305822	+	0.0475869i
$213$	15.8098	+	13.6992i	1.08327	+	0.938657i
$214$	0.916120	−	6.37175i	0.0626247	−	0.435564i
$215$	−0.475606	+	24.2181i	−0.0324361	+	1.65166i
$216$	−1.77068	−	1.13795i	−0.120479	−	0.0774274i
$217$	−28.4234	+	4.08666i	−1.92950	+	0.277421i
$218$	−0.787387	+	0.359588i	−0.0533286	+	0.0243543i
$219$	−3.89896	−	8.53753i	−0.263467	−	0.576913i
$220$	−0.959454	+	5.85463i	−0.0646864	+	0.394719i
$221$	−2.12313	−	1.36445i	−0.142817	−	0.0917829i
$222$	2.90371	+	9.88913i	0.194884	+	0.663715i
$223$	−5.00283	−	0.719299i	−0.335014	−	0.0481678i	−0.0272450	−	0.999629i	$-0.508673\pi$
$223$	−5.00283	−	0.719299i	−0.335014	−	0.0481678i	−0.307769	+	0.951461i	$0.599583\pi$
$224$	−10.4242	+	12.0302i	−0.696496	+	0.803799i
$225$	−12.7059	−	0.499240i	−0.847057	−	0.0332827i
$226$	−3.09916	−	3.57662i	−0.206153	−	0.237913i
$227$	−3.20844	+	10.9270i	−0.212952	+	0.725248i	0.781854	+	0.623461i	$0.214274\pi$
$227$	−3.20844	+	10.9270i	−0.212952	+	0.725248i	−0.994806	+	0.101787i	$0.967544\pi$
$228$	−24.4774	−	11.1784i	−1.62105	−	0.740310i
$229$	16.4731			1.08857			0.544285	−	0.838900i	$-0.316801\pi$
$229$	16.4731			1.08857			0.544285	+	0.838900i	$0.316801\pi$
$230$	5.63141	−	0.202187i	0.371324	−	0.0133318i
$231$	11.1247			0.731950
$232$	−5.21323	−	2.38080i	−0.342265	−	0.156307i
$233$	1.81503	−	6.18143i	0.118907	−	0.404959i	−0.878432	−	0.477867i	$-0.841410\pi$
$233$	1.81503	−	6.18143i	0.118907	−	0.404959i	0.997339	+	0.0729086i	$0.0232281\pi$
$234$	−2.18034	−	2.51625i	−0.142534	−	0.164493i
$235$	3.53478	+	12.9756i	0.230584	+	0.846435i
$236$	9.17390	−	10.5872i	0.597170	−	0.689171i
$237$	−17.7016	−	2.54510i	−1.14984	−	0.165322i
$238$	−0.460386	−	1.56793i	−0.0298424	−	0.101634i
$239$	−24.2672	−	15.5956i	−1.56972	−	1.00880i	−0.979474	−	0.201568i	$-0.935396\pi$
$239$	−24.2672	−	15.5956i	−1.56972	−	1.00880i	−0.590241	−	0.807227i	$-0.700967\pi$
$240$	−12.5701	−	2.05998i	−0.811396	−	0.132971i
$241$	4.31309	+	9.44435i	0.277831	+	0.608364i	0.996181	−	0.0873177i	$-0.0278295\pi$
$241$	4.31309	+	9.44435i	0.277831	+	0.608364i	−0.718350	+	0.695682i	$0.755102\pi$
$242$	4.12559	−	1.88409i	0.265203	−	0.121114i
$243$	−20.4874	+	2.94564i	−1.31427	+	0.188963i
$244$	−3.45181	−	2.21834i	−0.220979	−	0.142015i
$245$	−5.42209	−	0.106482i	−0.346405	−	0.00680286i
$246$	−0.614711	+	4.27541i	−0.0391926	+	0.272590i
$247$	12.4839	+	10.8174i	0.794333	+	0.688294i
$248$	9.89518	+	15.3972i	0.628344	+	0.977723i
$249$	23.3087	+	26.8996i	1.47713	+	1.70469i
$250$	−5.47844	+	2.12168i	−0.346487	+	0.134187i
$251$	1.27745	−	2.79723i	0.0806321	−	0.176560i	−0.865022	−	0.501734i	$-0.832696\pi$
$251$	1.27745	−	2.79723i	0.0806321	−	0.176560i	0.945654	+	0.325174i	$0.105423\pi$
$252$			13.4593i			0.847859i
$253$	−4.32901	−	5.97842i	−0.272163	−	0.375860i
$254$	−3.48591			−0.218725
$255$	3.57067	−	3.96089i	0.223604	−	0.248040i
$256$	1.73085	+	0.508224i	0.108178	+	0.0317640i
$257$	−4.74288	+	4.10973i	−0.295853	+	0.256358i	−0.790120	−	0.612952i	$-0.789982\pi$
$257$	−4.74288	+	4.10973i	−0.295853	+	0.256358i	0.494267	+	0.869310i	$0.335436\pi$
$258$	−7.24557	−	11.2743i	−0.451089	−	0.701909i
$259$	−16.7489	+	19.3293i	−1.04073	+	1.20106i
$260$	8.65608	+	4.16040i	0.536827	+	0.258017i
$261$	−7.14673	+	2.09847i	−0.442372	+	0.129892i
$262$	−0.181094	+	0.281787i	−0.0111880	+	0.0174089i
$263$	6.29360	−	0.904884i	0.388080	−	0.0557975i	0.0544867	−	0.998514i	$-0.482648\pi$
$263$	6.29360	−	0.904884i	0.388080	−	0.0557975i	0.333594	+	0.942717i	$0.391739\pi$
$264$	−2.94554	−	6.44984i	−0.181286	−	0.396960i
$265$	1.06024	−	0.131247i	0.0651299	−	0.00806245i
$266$	1.52216	+	10.5868i	0.0933295	+	0.649121i
$267$	9.44970	−	14.7040i	0.578312	−	0.899871i
$268$	−2.57152	−	8.75779i	−0.157081	−	0.534967i
$269$	2.17960	−	15.1595i	0.132893	−	0.924289i	−0.808864	−	0.587995i	$-0.799917\pi$
$269$	2.17960	−	15.1595i	0.132893	−	0.924289i	0.941757	−	0.336294i	$-0.109174\pi$
$270$	−1.07644	+	0.662291i	−0.0655103	+	0.0403057i
$271$	−15.5629	+	10.0017i	−0.945379	+	0.607558i	−0.919915	−	0.392118i	$-0.871743\pi$
$271$	−15.5629	+	10.0017i	−0.945379	+	0.607558i	−0.0254636	+	0.999676i	$0.508106\pi$
$272$	1.85224	−	1.60498i	0.112309	−	0.0973161i
$273$	5.07366	−	17.2793i	0.307072	−	1.04579i
$274$	3.68713	−	8.07369i	0.222748	−	0.487749i
$275$	6.30546	+	4.41142i	0.380233	+	0.266019i
$276$	15.7656	−	11.4159i	0.948975	−	0.687159i
$277$			11.8719i			0.713316i	0.934235	+	0.356658i	$0.116084\pi$
$277$			11.8719i			0.713316i	−0.934235	+	0.356658i	$0.883916\pi$
$278$	−4.70372	−	2.14812i	−0.282111	−	0.128836i
$279$	22.8235	+	6.70157i	1.36640	+	0.401213i
$280$	5.33932	+	12.3264i	0.319085	+	0.736643i
$281$	21.1782	−	13.6104i	1.26339	−	0.811930i	0.274644	−	0.961546i	$-0.411440\pi$
$281$	21.1782	−	13.6104i	1.26339	−	0.811930i	0.988744	+	0.149615i	$0.0478036\pi$
$282$	−5.62330	−	4.87262i	−0.334863	−	0.290160i
$283$	27.0263	+	3.88580i	1.60655	+	0.230987i	0.886429	−	0.462865i	$-0.153178\pi$
$283$	27.0263	+	3.88580i	1.60655	+	0.230987i	0.720118	+	0.693851i	$0.244087\pi$
$284$	14.6967	−	4.31533i	0.872087	−	0.256068i
$285$	−26.8225	+	22.3350i	−1.58883	+	1.32301i
$286$	0.286761	+	1.99446i	0.0169565	+	0.117935i
$287$	−9.75009	+	4.45272i	−0.575530	+	0.262836i
$288$	11.9945	−	5.47768i	0.706780	−	0.322776i
$289$	−2.27333	−	15.8113i	−0.133725	−	0.930078i
$290$	−2.64455	+	2.20211i	−0.155294	+	0.129312i
$291$	9.22695	−	2.70928i	0.540894	−	0.158821i
$292$	−6.80226	−	0.978017i	−0.398072	−	0.0572341i
$293$	−15.8403	−	13.7257i	−0.925401	−	0.801864i	0.0550793	−	0.998482i	$-0.482459\pi$
$293$	−15.8403	−	13.7257i	−0.925401	−	0.801864i	−0.980480	+	0.196617i	$0.937004\pi$
$294$	2.52417	−	1.62218i	0.147212	−	0.0946076i
$295$	−7.22257	−	16.6741i	−0.420514	−	0.970803i
$296$	15.6414	+	4.59274i	0.909139	+	0.266947i
$297$	1.50590	+	0.687722i	0.0873812	+	0.0399057i
$298$			0.345789i			0.0200310i
$299$	−11.2603	+	3.99741i	−0.651199	+	0.231176i
$300$	−11.6333	+	16.6280i	−0.671646	+	0.960017i
$301$	13.8155	−	30.2518i	0.796314	−	1.74368i
$302$	0.653032	−	2.22402i	0.0375778	−	0.127978i
$303$	14.2957	−	12.3873i	0.821269	−	0.711633i
$304$	−13.4950	+	8.67268i	−0.773989	+	0.497413i
$305$	−4.53301	+	2.78897i	−0.259560	+	0.159696i
$306$	−0.192644	+	1.33987i	−0.0110128	+	0.0765954i
$307$	1.58859	+	5.41026i	0.0906659	+	0.308780i	0.992323	−	0.123672i	$-0.0394669\pi$
$307$	1.58859	+	5.41026i	0.0906659	+	0.308780i	−0.901657	+	0.432451i	$0.857649\pi$
$308$	4.40378	−	6.85242i	0.250929	−	0.390453i
$309$	4.07409	+	28.3359i	0.231767	+	1.61197i
$310$	10.9069	−	1.35017i	0.619471	−	0.0766844i
$311$	1.59274	+	3.48762i	0.0903161	+	0.197765i	0.949400	−	0.314071i	$-0.101693\pi$
$311$	1.59274	+	3.48762i	0.0903161	+	0.197765i	−0.859083	+	0.511836i	$0.828966\pi$
$312$	−11.3616	+	1.63354i	−0.643221	+	0.0924813i
$313$	−5.85616	+	9.11237i	−0.331010	+	0.515061i	−0.966370	−	0.257154i	$-0.917215\pi$
$313$	−5.85616	+	9.11237i	−0.331010	+	0.515061i	0.635361	+	0.772216i	$0.280852\pi$
$314$	−0.361399	+	0.106116i	−0.0203949	+	0.00598850i
$315$	15.7351	+	7.56284i	0.886575	+	0.426118i
$316$	−8.57500	+	9.89607i	−0.482381	+	0.556698i
$317$	−11.6299	−	18.0965i	−0.653201	−	1.01640i	−0.997003	−	0.0773584i	$-0.975351\pi$
$317$	−11.6299	−	18.0965i	−0.653201	−	1.01640i	0.343803	−	0.939042i	$-0.388285\pi$
$318$	−0.446709	+	0.387075i	−0.0250502	+	0.0217061i
$319$	4.32515	+	1.26998i	0.242162	+	0.0711051i
$320$	−3.16587	+	3.51185i	−0.176978	+	0.196318i
$321$	−28.8424			−1.60983
$322$	−7.20513	−	2.81846i	−0.401526	−	0.157067i
$323$		−	6.71589i		−	0.373682i
$324$	−7.27719	+	15.9348i	−0.404288	+	0.885267i
$325$	9.72775	−	7.78197i	0.539599	−	0.431666i
$326$	−8.67589	−	10.0125i	−0.480513	−	0.554542i
$327$	2.09682	+	3.26271i	0.115954	+	0.180429i
$328$	5.16318	+	4.47392i	0.285089	+	0.247031i
$329$	2.62776	−	18.2765i	0.144873	−	1.00761i
$330$	−4.25686	−	0.0835982i	−0.234332	−	0.00460193i
$331$	−2.54261	−	1.63404i	−0.139755	−	0.0898148i	0.468895	−	0.883254i	$-0.344652\pi$
$331$	−2.54261	−	1.63404i	−0.139755	−	0.0898148i	−0.608650	+	0.793439i	$0.708289\pi$
$332$	25.7961	−	3.70893i	1.41575	−	0.203554i
$333$	19.2719	−	8.80119i	1.05610	−	0.482302i
$334$	1.23235	+	2.69848i	0.0674313	+	0.147654i
$335$	−11.6836	−	1.91470i	−0.638342	−	0.104611i
$336$	14.7124	+	9.45507i	0.802626	+	0.515816i
$337$	−1.01201	−	3.44658i	−0.0551275	−	0.187747i	0.927326	−	0.374254i	$-0.122101\pi$
$337$	−1.01201	−	3.44658i	−0.0551275	−	0.187747i	−0.982454	+	0.186507i	$0.940283\pi$
$338$	−3.53291	−	0.507956i	−0.192165	−	0.0276292i
$339$	−13.8859	+	16.0251i	−0.754177	+	0.870366i
$340$	−1.02629	−	3.76736i	−0.0556586	−	0.204314i
$341$	−9.42718	−	10.8795i	−0.510510	−	0.589160i
$342$	2.49613	−	8.50105i	0.134975	−	0.459684i
$343$	−12.7754	−	5.83435i	−0.689809	−	0.315025i
$344$	−21.1974			−1.14288
$345$	−4.48753	−	24.8460i	−0.241601	−	1.33766i
$346$	8.10651			0.435809
$347$	23.3033	+	10.6423i	1.25099	+	0.571307i	0.927109	−	0.374791i	$-0.122286\pi$
$347$	23.3033	+	10.6423i	1.25099	+	0.571307i	0.323879	+	0.946098i	$0.395013\pi$
$348$	−3.34903	+	11.4057i	−0.179527	+	0.611412i
$349$	−17.5804	−	20.2888i	−0.941055	−	1.08604i	−0.996160	−	0.0875548i	$-0.972095\pi$
$349$	−17.5804	−	20.2888i	−0.941055	−	1.08604i	0.0551047	−	0.998481i	$-0.482451\pi$
$350$	8.05992	+	0.316691i	0.430821	+	0.0169279i
$351$	1.75500	−	2.02538i	0.0936750	−	0.108107i
$352$	−7.89887	−	1.13569i	−0.421011	−	0.0605322i
$353$	−7.57423	−	25.7955i	−0.403135	−	1.37295i	−0.871923	−	0.489643i	$-0.837127\pi$
$353$	−7.57423	−	25.7955i	−0.403135	−	1.37295i	0.468788	−	0.883311i	$-0.344691\pi$
$354$	8.45766	+	5.43541i	0.449519	+	0.288889i
$355$	3.21310	−	19.6065i	0.170534	−	1.04061i
$356$	−5.31644	−	11.6414i	−0.281771	−	0.616992i
$357$	−6.66009	+	3.04156i	−0.352490	+	0.160977i
$358$	12.9536	−	1.86244i	0.684618	−	0.0984331i
$359$	9.14059	+	5.87430i	0.482422	+	0.310034i	0.759151	−	0.650914i	$-0.225614\pi$
$359$	9.14059	+	5.87430i	0.482422	+	0.310034i	−0.276729	+	0.960948i	$0.589251\pi$
$360$	0.218485	−	11.1254i	0.0115152	−	0.586358i
$361$	−3.55175	+	24.7030i	−0.186934	+	1.30016i
$362$	3.27809	+	2.84048i	0.172293	+	0.149292i
$363$	−10.9865	−	17.0953i	−0.576641	−	0.897271i
$364$	−8.63502	−	9.96534i	−0.452598	−	0.522326i
$365$	−4.96560	+	7.40288i	−0.259911	+	0.387485i
$366$	1.22326	−	2.67857i	0.0639410	−	0.140011i
$367$			8.18732i			0.427375i	0.976902	+	0.213687i	$0.0685474\pi$
$367$			8.18732i			0.427375i	−0.976902	+	0.213687i	$0.931453\pi$
$368$	−0.643949	−	11.5858i	−0.0335682	−	0.603950i
$369$	8.87900			0.462223
$370$	6.55423	−	7.27049i	0.340738	−	0.377975i
$371$	−1.40738	−	0.413243i	−0.0730673	−	0.0214545i
$372$	28.6902	−	24.8602i	1.48752	−	1.28894i
$373$	9.68809	+	15.0750i	0.501630	+	0.780552i	0.996062	−	0.0886647i	$-0.0282600\pi$
$373$	9.68809	+	15.0750i	0.501630	+	0.780552i	−0.494431	+	0.869217i	$0.664624\pi$
$374$	0.536474	−	0.619124i	0.0277404	−	0.0320141i
$375$	12.9028	+	22.9436i	0.666298	+	1.18480i
$376$	−11.2921	+	3.31565i	−0.582344	+	0.170991i
$377$	3.94517	−	6.13880i	0.203186	−	0.316164i
$378$	1.71760	−	0.246953i	0.0883436	−	0.0127019i
$379$	0.532421	+	1.16584i	0.0273486	+	0.0598852i	0.922813	−	0.385247i	$-0.125884\pi$
$379$	0.532421	+	1.16584i	0.0273486	+	0.0598852i	−0.895465	+	0.445132i	$0.853157\pi$
$380$	3.13972	+	25.3632i	0.161064	+	1.30110i
$381$	2.22278	+	15.4597i	0.113876	+	0.792027i
$382$	−4.58328	+	7.13172i	−0.234501	+	0.364891i
$383$	2.22024	+	7.56145i	0.113449	+	0.386372i	0.996568	−	0.0827770i	$-0.0263789\pi$
$383$	2.22024	+	7.56145i	0.113449	+	0.386372i	−0.883119	+	0.469149i	$0.844561\pi$
$384$	3.84689	−	26.7557i	0.196311	−	1.36537i
$385$	−5.53658	−	8.99880i	−0.282170	−	0.458621i
$386$	5.33075	−	3.42587i	0.271328	−	0.174372i
$387$	−20.8202	+	18.0408i	−1.05835	+	0.917065i
$388$	1.98373	−	6.75598i	0.100709	−	0.342983i
$389$	−3.37997	+	7.40110i	−0.171371	+	0.375251i	−0.975757	−	0.218857i	$-0.929767\pi$
$389$	−3.37997	+	7.40110i	−0.171371	+	0.375251i	0.804386	+	0.594107i	$0.202495\pi$
$390$	−2.07129	+	6.57380i	−0.104884	+	0.332877i
$391$	4.22623	+	2.39556i	0.213729	+	0.121149i
$392$		−	4.74580i		−	0.239699i
$393$	1.36518	+	0.623456i	0.0688642	+	0.0314492i
$394$	10.4884	+	3.07967i	0.528397	+	0.155151i
$395$	6.75106	+	15.5856i	0.339683	+	0.784194i
$396$	−5.67630	+	3.64793i	−0.285245	+	0.183316i
$397$	−10.1351	−	8.78210i	−0.508665	−	0.440761i	0.362332	−	0.932049i	$-0.381981\pi$
$397$	−10.1351	−	8.78210i	−0.508665	−	0.440761i	−0.870997	+	0.491288i	$0.836526\pi$
$398$	−3.61430	−	0.519658i	−0.181169	−	0.0260481i
$399$	45.9813	−	13.5013i	2.30194	−	0.675911i
$400$	4.58961	+	11.1932i	0.229481	+	0.559662i
$401$	1.28352	+	8.92707i	0.0640959	+	0.445797i	0.996446	+	0.0842389i	$0.0268459\pi$
$401$	1.28352	+	8.92707i	0.0640959	+	0.445797i	−0.932350	+	0.361558i	$0.882245\pi$
$402$	5.95850	−	2.72116i	0.297183	−	0.135719i
$403$	−21.1981	+	9.68083i	−1.05595	+	0.482236i
$404$	−1.97110	−	13.7093i	−0.0980659	−	0.682063i
$405$	14.5401	+	17.4615i	0.722504	+	0.867668i
$406$	4.53351	−	1.33116i	0.224994	−	0.0660643i
$407$	−12.6914	−	1.82475i	−0.629089	−	0.0904494i
$408$	3.52687	+	3.05605i	0.174606	+	0.151297i
$409$	10.8926	−	7.00028i	0.538606	−	0.346141i	−0.242887	−	0.970055i	$-0.578094\pi$
$409$	10.8926	−	7.00028i	0.538606	−	0.346141i	0.781494	+	0.623913i	$0.214458\pi$
$410$	3.76433	−	1.63056i	0.185907	−	0.0805278i
$411$	−38.1573	−	11.2040i	−1.88216	−	0.552652i
$412$	19.0667	+	8.70748i	0.939350	+	0.428987i
$413$			24.9485i			1.22764i
$414$	4.45923	+	4.60312i	0.219159	+	0.226231i
$415$	10.1589	−	32.2420i	0.498680	−	1.58270i
$416$	−5.36646	+	11.7509i	−0.263112	+	0.576135i
$417$	−6.52744	+	22.2304i	−0.319650	+	1.08863i
$418$	−4.05230	+	3.51134i	−0.198205	+	0.171745i
$419$	−29.6874	+	19.0790i	−1.45033	+	0.932068i	−0.451111	+	0.892468i	$0.648972\pi$
$419$	−29.6874	+	19.0790i	−1.45033	+	0.932068i	−0.999216	+	0.0396003i	$0.987392\pi$
$420$	23.7305	−	14.6004i	1.15793	−	0.712426i
$421$	−1.72809	+	12.0192i	−0.0842222	+	0.585778i	0.903385	+	0.428831i	$0.141074\pi$
$421$	−1.72809	+	12.0192i	−0.0842222	+	0.585778i	−0.987607	+	0.156947i	$0.949835\pi$
$422$	0.546731	+	1.86199i	0.0266144	+	0.0906405i
$423$	−8.26923	+	12.8672i	−0.402064	+	0.625624i
$424$	0.133050	+	0.925383i	0.00646148	+	0.0449406i
$425$	−4.98105	−	0.917064i	−0.241616	−	0.0444841i
$426$	4.56644	+	9.99911i	0.221245	+	0.484458i
$427$	7.23297	−	1.03994i	0.350028	−	0.0503264i
$428$	−11.4175	+	17.7659i	−0.551885	+	0.858749i
$429$	8.66245	−	2.54352i	0.418227	−	0.122803i
$430$	−5.51385	+	11.4720i	−0.265901	+	0.553231i
$431$	−0.506299	+	0.584300i	−0.0243876	+	0.0281448i	−0.767812	−	0.640675i	$-0.778655\pi$
$431$	−0.506299	+	0.584300i	−0.0243876	+	0.0281448i	0.743425	+	0.668820i	$0.233200\pi$
$432$	1.40705	+	2.18941i	0.0676965	+	0.105338i
$433$	1.30139	−	1.12766i	0.0625407	−	0.0541918i	−0.623030	−	0.782198i	$-0.714098\pi$
$433$	1.30139	−	1.12766i	0.0625407	−	0.0541918i	0.685570	+	0.728006i	$0.259553\pi$
$434$	−14.4780	−	4.25112i	−0.694966	−	0.204060i
$435$	11.4525	+	10.3242i	0.549105	+	0.495009i
$436$	2.83976			0.136000
$437$	−25.1486	−	19.4566i	−1.20302	−	0.930734i
$438$		−	4.93190i		−	0.235655i
$439$	10.6923	−	23.4129i	0.510315	−	1.11743i	−0.462662	−	0.886535i	$-0.653106\pi$
$439$	10.6923	−	23.4129i	0.510315	−	1.11743i	0.972977	−	0.230900i	$-0.0741671\pi$
$440$	−3.75136	+	5.59265i	−0.178839	+	0.266619i
$441$	−4.03909	−	4.66136i	−0.192337	−	0.221969i
$442$	−0.716978	−	1.11564i	−0.0341032	−	0.0530656i
$443$	−1.69719	−	1.47062i	−0.0806358	−	0.0698713i	0.613610	−	0.789609i	$-0.289717\pi$
$443$	−1.69719	−	1.47062i	−0.0806358	−	0.0698713i	−0.694246	+	0.719738i	$0.744262\pi$
$444$	4.81200	−	33.4682i	0.228367	−	1.58833i
$445$	−16.5971	−	0.325942i	−0.786779	−	0.0154512i
$446$	−2.23426	−	1.43587i	−0.105795	−	0.0679905i
$447$	1.53355	−	0.220491i	0.0725343	−	0.0104289i
$448$	5.90505	−	2.69675i	0.278987	−	0.127409i
$449$	−2.53888	−	5.55938i	−0.119817	−	0.262363i	0.840215	−	0.542254i	$-0.182429\pi$
$449$	−2.53888	−	5.55938i	−0.119817	−	0.262363i	−0.960032	+	0.279891i	$0.909702\pi$
$450$	−5.96422	−	3.01217i	−0.281156	−	0.141995i
$451$	−4.52048	−	2.90513i	−0.212861	−	0.136797i
$452$	4.37412	+	14.8969i	0.205741	+	0.700691i
$453$	−10.2798	−	1.47801i	−0.482987	−	0.0694430i
$454$	−3.91881	+	4.52255i	−0.183919	+	0.212254i
$455$	−16.5024	+	4.49554i	−0.773645	+	0.210754i
$456$	−20.0025	−	23.0841i	−0.936703	−	1.08101i
$457$	−7.20377	+	24.5338i	−0.336978	+	1.14764i	0.600507	+	0.799619i	$0.294965\pi$
$457$	−7.20377	+	24.5338i	−0.336978	+	1.14764i	−0.937486	+	0.348024i	$0.886853\pi$
$458$	7.87386	+	3.59587i	0.367921	+	0.168024i
$459$	−1.08958			−0.0508571
$460$	−17.0807	−	7.07129i	−0.796391	−	0.329701i
$461$	−4.39468			−0.204681			−0.102340	−	0.994749i	$-0.532633\pi$
$461$	−4.39468			−0.204681			−0.102340	+	0.994749i	$0.532633\pi$
$462$	5.31742	+	2.42838i	0.247389	+	0.112979i
$463$	0.762267	−	2.59604i	0.0354256	−	0.120648i	−0.939882	−	0.341499i	$-0.889065\pi$
$463$	0.762267	−	2.59604i	0.0354256	−	0.120648i	0.975308	+	0.220851i	$0.0708835\pi$
$464$	4.64063	+	5.35557i	0.215436	+	0.248626i
$465$	−12.9426	−	47.5104i	−0.600201	−	2.20324i
$466$	2.21689	−	2.55843i	0.102695	−	0.118517i
$467$	−0.202233	−	0.0290767i	−0.00935823	−	0.00134551i	0.137634	−	0.990483i	$-0.456050\pi$
$467$	−0.202233	−	0.0290767i	−0.00935823	−	0.00134551i	−0.146992	+	0.989138i	$0.546959\pi$
$468$	3.07732	+	10.4804i	0.142249	+	0.484456i
$469$	13.6748	+	8.78824i	0.631442	+	0.405803i
$470$	−1.14285	+	6.97374i	−0.0527159	+	0.321675i
$471$	0.701063	+	1.53511i	0.0323033	+	0.0707343i
$472$	14.4646	−	6.60577i	0.665788	−	0.304055i
$473$	16.5028	−	2.37274i	0.758798	−	0.109099i
$474$	−7.90552	−	5.08057i	−0.363112	−	0.233358i
$475$	31.4160	+	10.5811i	1.44147	+	0.485492i
$476$	−0.762947	+	5.30642i	−0.0349696	+	0.243219i
$477$	0.918264	+	0.795680i	0.0420444	+	0.0364317i
$478$	−8.19502	−	12.7517i	−0.374831	−	0.583249i
$479$	15.0671	+	17.3884i	0.688434	+	0.794496i	0.987141	−	0.159849i	$-0.0511008\pi$
$479$	15.0671	+	17.3884i	0.688434	+	0.794496i	−0.298707	+	0.954345i	$0.596555\pi$
$480$	−22.6692	−	15.2057i	−1.03470	−	0.694042i
$481$	−8.62248	+	18.8806i	−0.393151	+	0.860881i
$482$			5.45575i			0.248503i
$483$	−7.90535	+	33.7514i	−0.359706	+	1.53574i
$484$	−14.8792			−0.676327
$485$	−6.78366	−	6.11536i	−0.308030	−	0.277684i
$486$	−10.4356	−	3.06418i	−0.473370	−	0.138994i
$487$	5.04925	−	4.37520i	0.228803	−	0.198259i	−0.532913	−	0.846170i	$-0.678903\pi$
$487$	5.04925	−	4.37520i	0.228803	−	0.198259i	0.761716	+	0.647911i	$0.224357\pi$
$488$	−2.51805	−	3.91817i	−0.113987	−	0.177367i
$489$	−38.8726	+	44.8614i	−1.75788	+	2.02870i
$490$	−2.56843	−	1.23447i	−0.116030	−	0.0557679i
$491$	33.2530	−	9.76397i	1.50069	−	0.440642i	0.574754	−	0.818326i	$-0.305098\pi$
$491$	33.2530	−	9.76397i	1.50069	−	0.440642i	0.925934	+	0.377685i	$0.123280\pi$
$492$	7.66107	−	11.9209i	0.345388	−	0.537433i
$493$	−2.93659	+	0.422218i	−0.132257	+	0.0190157i
$494$	3.60582	+	7.89564i	0.162233	+	0.355241i
$495$	1.07523	+	8.68587i	0.0483278	+	0.390401i
$496$	−3.22071	−	22.4005i	−0.144614	−	1.00581i
$497$	−14.7478	+	22.9480i	−0.661528	+	1.02936i
$498$	5.26930	+	17.9456i	0.236123	+	0.804162i
$499$	−4.70441	+	32.7199i	−0.210598	+	1.46474i	0.560568	+	0.828109i	$0.310583\pi$
$499$	−4.70441	+	32.7199i	−0.210598	+	1.46474i	−0.771166	+	0.636634i	$0.780326\pi$
$500$	19.2401	+	1.13471i	0.860445	+	0.0507457i
$501$	11.1817	−	7.18606i	0.499563	−	0.321050i
$502$	1.22120	−	1.05818i	0.0545050	−	0.0472289i
$503$	−4.54106	+	15.4654i	−0.202476	+	0.689569i	0.794167	+	0.607699i	$0.207907\pi$
$503$	−4.54106	+	15.4654i	−0.202476	+	0.689569i	−0.996643	+	0.0818698i	$0.973911\pi$
$504$	−6.34662	+	13.8972i	−0.282701	+	0.619029i
$505$	−17.1349	−	5.39891i	−0.762495	−	0.240248i
$506$	−0.764183	−	3.80256i	−0.0339721	−	0.169045i
$507$			15.9921i			0.710234i
$508$	10.4026	+	4.75070i	0.461540	+	0.210778i
$509$	11.0638	+	3.24862i	0.490393	+	0.143993i	0.517575	−	0.855638i	$-0.326835\pi$
$509$	11.0638	+	3.24862i	0.490393	+	0.143993i	−0.0271813	+	0.999631i	$0.508653\pi$
$510$	2.57134	−	1.11381i	0.113861	−	0.0493202i
$511$	10.2959	−	6.61676i	0.455463	−	0.292708i
$512$	−16.6372	−	14.4162i	−0.735268	−	0.637113i
$513$	7.05894	+	1.01492i	0.311660	+	0.0448099i
$514$	−3.16413	+	0.929072i	−0.139564	+	0.0409796i
$515$	20.8935	−	17.3979i	0.920676	−	0.766644i
$516$	6.25710	+	43.5191i	0.275453	+	1.91582i
$517$	8.42006	−	3.84531i	0.370314	−	0.169117i
$518$	−12.2251	+	5.58301i	−0.537139	+	0.245303i
$519$	−5.16909	−	35.9518i	−0.226898	−	1.57811i
$520$	6.97585	+	8.37743i	0.305911	+	0.367374i
$521$	18.7400	−	5.50256i	0.821014	−	0.241072i	0.155862	−	0.987779i	$-0.450185\pi$
$521$	18.7400	−	5.50256i	0.821014	−	0.241072i	0.665153	+	0.746707i	$0.268366\pi$
$522$	−3.87410	−	0.557011i	−0.169565	−	0.0243797i
$523$	7.20785	+	6.24564i	0.315177	+	0.273103i	0.798054	−	0.602585i	$-0.205863\pi$
$523$	7.20785	+	6.24564i	0.315177	+	0.273103i	−0.482877	+	0.875688i	$0.660408\pi$
$524$	0.924444	−	0.594104i	0.0403845	−	0.0259536i
$525$	−3.73487	−	35.9471i	−0.163003	−	1.56886i
$526$	3.20577	+	0.941299i	0.139778	+	0.0410426i
$527$	8.61839	+	3.93589i	0.375423	+	0.171450i
$528$			8.76739i			0.381552i
$529$	21.2143	−	8.88554i	0.922361	−	0.386328i
$530$	0.535427	+	0.168703i	0.0232575	+	0.00732801i
$531$	8.58516	−	18.7989i	0.372564	−	0.815802i
$532$	9.88567	−	33.6675i	0.428598	−	1.45967i
$533$	−6.57405	+	5.69644i	−0.284754	+	0.246740i
$534$	7.72652	−	4.96553i	0.334359	−	0.214880i
$535$	14.3544	+	23.3308i	0.620596	+	1.00868i
$536$	1.47448	−	10.2553i	0.0636879	−	0.442959i
$537$	−16.5196	−	56.2606i	−0.712873	−	2.42782i
$538$	4.35095	−	6.77021i	0.187583	−	0.291884i
$539$	0.531224	+	3.69474i	0.0228814	+	0.159144i
$540$	4.11489	−	0.509384i	0.177077	−	0.0219204i
$541$	15.3460	+	33.6032i	0.659778	+	1.44471i	0.882729	+	0.469883i	$0.155704\pi$
$541$	15.3460	+	33.6032i	0.659778	+	1.44471i	−0.222951	+	0.974830i	$0.571569\pi$
$542$	−9.62207	+	1.38344i	−0.413303	+	0.0594240i
$543$	10.5071	−	16.3493i	0.450901	−	0.701616i
$544$	5.03938	−	1.47970i	0.216062	−	0.0634414i
$545$	1.59567	−	3.31993i	0.0683510	−	0.142210i
$546$	6.19700	−	7.15172i	0.265207	−	0.306065i
$547$	−3.28103	−	5.10538i	−0.140287	−	0.218290i	0.764000	−	0.645216i	$-0.223233\pi$
$547$	−3.28103	−	5.10538i	−0.140287	−	0.218290i	−0.904287	+	0.426926i	$0.859596\pi$
$548$	−22.0061	+	19.0684i	−0.940055	+	0.814562i
$549$	−5.80795	−	1.70537i	−0.247877	−	0.0727833i
$550$	2.05095	+	3.48500i	0.0874527	+	0.148601i
$551$	19.4183			0.827247
$552$	21.6615	−	4.35320i	0.921973	−	0.185285i
$553$		−	23.3198i		−	0.991660i
$554$	−2.59151	+	5.67461i	−0.110103	+	0.241091i
$555$	−36.4234	−	24.4315i	−1.54609	−	1.03706i
$556$	11.1092	+	12.8207i	0.471137	+	0.543721i
$557$	−12.3856	−	19.2723i	−0.524793	−	0.816595i	0.473131	−	0.880992i	$-0.343124\pi$
$557$	−12.3856	−	19.2723i	−0.524793	−	0.816595i	−0.997924	+	0.0643976i	$0.979487\pi$
$558$	9.44639	+	8.18534i	0.399897	+	0.346513i
$559$	3.84103	−	26.7149i	0.162458	−	1.12992i
$560$	0.326128	−	16.6066i	0.0137814	−	0.701755i
$561$	−3.08785	−	1.98444i	−0.130369	−	0.0837831i
$562$	13.0939	−	1.88261i	0.552332	−	0.0794133i
$563$	−13.3397	+	6.09204i	−0.562201	+	0.256749i	−0.676182	−	0.736734i	$-0.736367\pi$
$563$	−13.3397	+	6.09204i	−0.562201	+	0.256749i	0.113981	+	0.993483i	$0.463640\pi$
$564$	10.1404	+	22.2044i	0.426987	+	0.934972i
$565$	19.8736	+	3.25688i	0.836089	+	0.137018i
$566$	12.0699	+	7.75687i	0.507337	+	0.326046i
$567$	−8.78939	−	29.9339i	−0.369120	−	1.25711i
$568$	17.2096	+	2.47437i	0.722099	+	0.103822i
$569$	−8.74206	+	10.0889i	−0.366486	+	0.422948i	−0.908802	−	0.417227i	$-0.863002\pi$
$569$	−8.74206	+	10.0889i	−0.366486	+	0.422948i	0.542316	+	0.840175i	$0.317548\pi$
$570$	−17.6962	+	4.82075i	−0.741212	+	0.201919i
$571$	−19.9506	−	23.0243i	−0.834908	−	0.963536i	0.164832	−	0.986322i	$-0.447292\pi$
$571$	−19.9506	−	23.0243i	−0.834908	−	0.963536i	−0.999740	+	0.0227861i	$0.992746\pi$
$572$	1.86237	−	6.34265i	0.0778696	−	0.265199i
$573$	34.5512	+	15.7790i	1.44340	+	0.659177i
$574$	−5.63237			−0.235091
$575$	−17.8647	+	15.9954i	−0.745007	+	0.667056i
$576$	−5.37748			−0.224062
$577$	5.92612	+	2.70637i	0.246708	+	0.112668i	0.534931	−	0.844896i	$-0.320337\pi$
$577$	5.92612	+	2.70637i	0.246708	+	0.112668i	−0.288224	+	0.957563i	$0.593065\pi$
$578$	2.36481	−	8.05381i	0.0983632	−	0.334994i
$579$	−18.5926	−	21.4570i	−0.772682	−	0.891723i
$580$	10.8929	−	2.96742i	0.452304	−	0.123215i
$581$	−30.3940	+	35.0765i	−1.26095	+	1.45522i
$582$	5.00174	+	0.719142i	0.207329	+	0.0298094i
$583$	−0.207167	−	0.705545i	−0.00857996	−	0.0292207i
$584$	−6.56235	−	4.21737i	−0.271552	−	0.174516i
$585$	13.9816	+	2.29131i	0.578070	+	0.0947338i
$586$	−4.57526	−	10.0184i	−0.189002	−	0.413857i
$587$	−13.8185	+	6.31069i	−0.570350	+	0.260470i	−0.679647	−	0.733539i	$-0.737867\pi$
$587$	−13.8185	+	6.31069i	−0.570350	+	0.260470i	0.109298	+	0.994009i	$0.465140\pi$
$588$	−9.74333	+	1.40088i	−0.401808	+	0.0577713i
$589$	−52.1689	−	33.5269i	−2.14958	−	1.38145i
$590$	0.187480	−	9.54656i	0.00771843	−	0.393026i
$591$	6.97022	−	48.4789i	0.286717	−	1.99416i
$592$	−15.2335	−	13.1999i	−0.626092	−	0.542512i
$593$	17.9256	+	27.8928i	0.736116	+	1.14542i	0.984265	+	0.176697i	$0.0565413\pi$
$593$	17.9256	+	27.8928i	0.736116	+	1.14542i	−0.248149	+	0.968722i	$0.579822\pi$
$594$	0.569676	+	0.657441i	0.0233741	+	0.0269751i
$595$	5.77496	+	3.87364i	0.236750	+	0.158804i
$596$	0.471251	−	1.03190i	0.0193032	−	0.0422681i
$597$			16.3605i			0.669592i
$598$	−6.25483	−	0.547285i	−0.255779	−	0.0223801i
$599$	36.1116			1.47548			0.737740	−	0.675085i	$-0.235893\pi$
$599$	36.1116			1.47548			0.737740	+	0.675085i	$0.235893\pi$
$600$	−19.8524	+	11.6833i	−0.810472	+	0.476969i
$601$	18.2738	+	5.36568i	0.745405	+	0.218871i	0.632312	−	0.774714i	$-0.282106\pi$
$601$	18.2738	+	5.36568i	0.745405	+	0.218871i	0.113093	+	0.993584i	$0.463924\pi$
$602$	13.2072	−	11.4441i	0.538286	−	0.466428i
$603$	−7.27986	−	11.3277i	−0.296459	−	0.461299i
$604$	−4.97973	+	5.74692i	−0.202622	+	0.233839i
$605$	−8.36067	+	17.3951i	−0.339910	+	0.707211i
$606$	9.53715	−	2.80036i	0.387420	−	0.113757i
$607$	3.45175	−	5.37103i	0.140102	−	0.218004i	−0.764111	−	0.645085i	$-0.776822\pi$
$607$	3.45175	−	5.37103i	0.140102	−	0.218004i	0.904213	+	0.427082i	$0.140458\pi$
$608$	−34.0265	+	4.89227i	−1.37996	+	0.198408i
$609$	−8.79436	−	19.2570i	−0.356366	−	0.780332i
$610$	−2.77551	+	0.343581i	−0.112377	+	0.0139112i
$611$	−2.13254	−	14.8321i	−0.0862733	−	0.600044i
$612$	2.40090	−	3.73588i	0.0970507	−	0.151014i
$613$	−0.242639	−	0.826353i	−0.00980010	−	0.0333761i	0.954448	−	0.298378i	$-0.0964456\pi$
$613$	−0.242639	−	0.826353i	−0.00980010	−	0.0333761i	−0.964248	+	0.265002i	$0.914627\pi$
$614$	−0.421672	+	2.93279i	−0.0170173	+	0.118358i
$615$	−9.63174	−	15.6548i	−0.388389	−	0.631263i
$616$	7.77822	−	4.99876i	0.313393	−	0.201406i
$617$	2.20182	−	1.90789i	0.0886418	−	0.0768086i	−0.609413	−	0.792853i	$-0.708595\pi$
$617$	2.20182	−	1.90789i	0.0886418	−	0.0768086i	0.698055	+	0.716045i	$0.254049\pi$
$618$	−4.23805	+	14.4335i	−0.170479	+	0.580599i
$619$	−15.8446	+	34.6948i	−0.636848	+	1.39450i	0.265760	+	0.964039i	$0.414377\pi$
$619$	−15.8446	+	34.6948i	−0.636848	+	1.39450i	−0.902608	+	0.430463i	$0.858350\pi$
$620$	−34.3882	−	10.8351i	−1.38106	−	0.435148i
$621$	−3.15661	+	4.08008i	−0.126670	+	0.163728i
$622$			2.01470i			0.0807822i
$623$	20.7322	+	9.46807i	0.830617	+	0.379330i
$624$	13.6179	+	3.99857i	0.545152	+	0.160071i
$625$	12.1377	−	21.8558i	0.485507	−	0.874233i
$626$	−4.78828	+	3.07724i	−0.191378	+	0.122991i
$627$	18.1565	+	15.7327i	0.725100	+	0.628302i
$628$	1.22310	+	0.175855i	0.0488070	+	0.00701738i
$629$	8.09696	−	2.37748i	0.322847	−	0.0947964i
$630$	5.87028	+	7.04972i	0.233877	+	0.280868i
$631$	−5.07436	−	35.2929i	−0.202007	−	1.40499i	−0.798318	−	0.602236i	$-0.794277\pi$
$631$	−5.07436	−	35.2929i	−0.202007	−	1.40499i	0.596311	−	0.802753i	$-0.296632\pi$
$632$	−13.5203	+	6.17453i	−0.537810	+	0.245609i
$633$	7.90919	−	3.61200i	0.314362	−	0.143564i
$634$	−1.60867	−	11.1885i	−0.0638883	−	0.444353i
$635$	11.3992	−	9.49210i	0.452364	−	0.376682i
$636$	1.86058	−	0.546314i	0.0737766	−	0.0216628i
$637$	5.98111	+	0.859954i	0.236980	+	0.0340726i
$638$	1.79013	+	1.55116i	0.0708720	+	0.0614109i
$639$	19.0093	−	12.2165i	0.751996	−	0.483278i
$640$	−23.5573	+	10.2041i	−0.931185	+	0.403353i
$641$	−34.3483	−	10.0856i	−1.35668	−	0.398357i	−0.479087	−	0.877767i	$-0.659032\pi$
$641$	−34.3483	−	10.0856i	−1.35668	−	0.398357i	−0.877591	+	0.479411i	$0.840850\pi$
$642$	−13.7862	−	6.29596i	−0.544099	−	0.248482i
$643$		−	32.2543i		−	1.27198i	−0.771695	−	0.635992i	$-0.780591\pi$
$643$		−	32.2543i		−	1.27198i	0.771695	−	0.635992i	$-0.219409\pi$
$644$	17.6603	+	18.2302i	0.695914	+	0.718369i
$645$	54.3935	+	17.1384i	2.14174	+	0.674824i
$646$	1.46600	−	3.21009i	0.0576790	−	0.126299i
$647$	−7.66212	+	26.0948i	−0.301229	+	1.02589i	0.660257	+	0.751040i	$0.270447\pi$
$647$	−7.66212	+	26.0948i	−0.301229	+	1.02589i	−0.961486	+	0.274853i	$0.911371\pi$
$648$	−15.0278	+	13.0217i	−0.590348	+	0.511540i
$649$	−10.5217	+	6.76189i	−0.413013	+	0.265428i
$650$	6.34843	−	1.59621i	0.249006	−	0.0626084i
$651$	−9.62158	+	66.9195i	−0.377099	+	2.62278i
$652$	12.2451	+	41.7029i	0.479554	+	1.63321i
$653$	−19.6286	+	30.5427i	−0.768128	+	1.19523i	0.208020	+	0.978124i	$0.433298\pi$
$653$	−19.6286	+	30.5427i	−0.768128	+	1.19523i	−0.976148	+	0.217106i	$0.930338\pi$
$654$	0.290035	+	2.01724i	0.0113413	+	0.0788802i
$655$	−0.175112	−	1.41458i	−0.00684219	−	0.0552724i
$656$	−3.50920	−	7.68408i	−0.137011	−	0.300013i
$657$	−10.0349	+	1.44281i	−0.391500	+	0.0562892i
$658$	5.24556	−	8.16225i	0.204493	−	0.318198i
$659$	8.72342	−	2.56143i	0.339816	−	0.0997791i	−0.107372	−	0.994219i	$-0.534244\pi$
$659$	8.72342	−	2.56143i	0.339816	−	0.0997791i	0.447188	+	0.894440i	$0.352425\pi$
$660$	12.5893	+	6.05084i	0.490038	+	0.235529i
$661$	7.75591	−	8.95079i	0.301670	−	0.348145i	−0.584594	−	0.811326i	$-0.698746\pi$
$661$	7.75591	−	8.95079i	0.301670	−	0.348145i	0.886264	+	0.463180i	$0.153292\pi$
$662$	−0.858638	−	1.33607i	−0.0333719	−	0.0519277i
$663$	−4.49060	+	3.89113i	−0.174400	+	0.151119i
$664$	28.3842	+	8.33435i	1.10152	+	0.323435i
$665$	−33.8055	−	30.4751i	−1.31092	−	1.18177i
$666$	11.1329			0.431390
$667$	−6.92652	+	12.2197i	−0.268196	+	0.473148i
$668$		−	9.73222i		−	0.376551i
$669$	−4.94332	+	10.8244i	−0.191120	+	0.418494i
$670$	−5.16661	−	3.46558i	−0.199604	−	0.133887i
$671$	2.39896	+	2.76855i	0.0926108	+	0.106879i
$672$	20.2619	+	31.5281i	0.781619	+	1.21622i
$673$	−1.91911	−	1.66292i	−0.0739764	−	0.0641009i	0.617088	−	0.786894i	$-0.288312\pi$
$673$	−1.91911	−	1.66292i	−0.0739764	−	0.0641009i	−0.691064	+	0.722793i	$0.742858\pi$
$674$	0.268624	−	1.86832i	0.0103470	−	0.0719649i
$675$	1.71666	−	5.09690i	0.0660742	−	0.196180i
$676$	9.85058	+	6.33059i	0.378869	+	0.243484i
$677$	23.8649	−	3.43125i	0.917201	−	0.131874i	0.332482	−	0.943109i	$-0.392114\pi$
$677$	23.8649	−	3.43125i	0.917201	−	0.131874i	0.584719	+	0.811236i	$0.301205\pi$
$678$	−10.1353	+	4.62865i	−0.389245	+	0.177762i
$679$	5.20917	+	11.4065i	0.199910	+	0.437741i
$680$	0.716784	−	4.37385i	0.0274874	−	0.167729i
$681$	22.5560	+	14.4959i	0.864348	+	0.555482i
$682$	−2.13117	−	7.25810i	−0.0816067	−	0.277927i
$683$	7.78103	+	1.11874i	0.297733	+	0.0428075i	0.289562	−	0.957159i	$-0.406490\pi$
$683$	7.78103	+	1.11874i	0.297733	+	0.0428075i	0.00817029	+	0.999967i	$0.497399\pi$
$684$	−19.0344	+	21.9669i	−0.727798	+	0.839924i
$685$	9.92734	+	36.4417i	0.379304	+	1.39236i
$686$	−4.83289	−	5.57746i	−0.184521	−	0.212948i
$687$	10.9267	−	37.2129i	0.416879	−	1.41976i
$688$	23.8415	+	10.8881i	0.908950	+	0.415104i
$689$	−1.19037			−0.0453493
$690$	3.27861	−	12.8556i	0.124815	−	0.489403i
$691$	2.06699			0.0786319			0.0393159	−	0.999227i	$-0.487482\pi$
$691$	2.06699			0.0786319			0.0393159	+	0.999227i	$0.487482\pi$
$692$	−24.1913	−	11.0478i	−0.919615	−	0.419974i
$693$	3.38544	−	11.5298i	0.128602	−	0.437979i
$694$	8.81555	+	10.1737i	0.334634	+	0.386188i
$695$	21.2309	−	5.78366i	0.805334	−	0.219387i
$696$	−8.83624	+	10.1976i	−0.334937	+	0.386538i
$697$	3.50059	+	0.503310i	0.132594	+	0.0190642i
$698$	−3.97433	−	13.5353i	−0.150431	−	0.512320i
$699$	−12.7600	−	8.20037i	−0.482628	−	0.310166i
$700$	−23.6207	−	11.9294i	−0.892777	−	0.450887i
$701$	14.2799	+	31.2686i	0.539344	+	1.18100i	0.961583	+	0.274514i	$0.0885169\pi$
$701$	14.2799	+	31.2686i	0.539344	+	1.18100i	−0.422239	+	0.906484i	$0.638756\pi$
$702$	1.28098	−	0.585003i	0.0483474	−	0.0220795i
$703$	−54.6716	+	7.86058i	−2.06198	+	0.296467i
$704$	2.73778	+	1.75947i	0.103184	+	0.0663124i
$705$	31.6568	+	0.621691i	1.19226	+	0.0234142i
$706$	2.01048	−	13.9832i	0.0756654	−	0.526264i
$707$	18.6413	+	16.1528i	0.701079	+	0.607488i
$708$	−17.8316	−	27.7466i	−0.670154	−	1.04278i
$709$	6.80487	+	7.85324i	0.255562	+	0.294935i	0.869004	−	0.494806i	$-0.164761\pi$
$709$	6.80487	+	7.85324i	0.255562	+	0.294935i	−0.613441	+	0.789740i	$0.710215\pi$
$710$	5.81568	−	8.67022i	0.218259	−	0.325388i
$711$	−8.02470	+	17.5716i	−0.300950	+	0.658988i
$712$		−	14.5270i		−	0.544422i
$713$	39.7068	−	20.8702i	1.48703	−	0.781594i
$714$	−3.84736			−0.143984
$715$	−6.36864	−	5.74123i	−0.238174	−	0.214710i
$716$	−41.1940	−	12.0956i	−1.53949	−	0.452035i
$717$	−51.3273	+	44.4754i	−1.91685	+	1.66096i
$718$	3.08677	+	4.80311i	0.115197	+	0.179250i
$719$	−5.56998	+	6.42810i	−0.207725	+	0.239728i	−0.850046	−	0.526708i	$-0.823426\pi$
$719$	−5.56998	+	6.42810i	−0.207725	+	0.239728i	0.642321	+	0.766436i	$0.277972\pi$
$720$	−5.96030	+	12.4009i	−0.222127	+	0.462155i
$721$	−35.8173	+	10.5169i	−1.33390	+	0.391670i
$722$	−7.09005	+	11.0323i	−0.263864	+	0.410581i
$723$	24.1959	−	3.47884i	0.899854	−	0.129379i
$724$	−5.91132	−	12.9440i	−0.219692	−	0.481059i
$725$	2.65159	−	14.4022i	0.0984777	−	0.534884i
$726$	−1.51967	−	10.5695i	−0.0564001	−	0.392271i
$727$	0.180663	−	0.281118i	0.00670043	−	0.0104261i	−0.837887	−	0.545843i	$-0.816209\pi$
$727$	0.180663	−	0.281118i	0.00670043	−	0.0104261i	0.844588	+	0.535417i	$0.179846\pi$
$728$	−4.21685	−	14.3613i	−0.156287	−	0.532264i
$729$	−2.59661	+	18.0598i	−0.0961708	+	0.668883i
$730$	−3.98944	+	2.45453i	−0.147656	+	0.0908463i
$731$	−9.23112	+	5.93248i	−0.341425	+	0.219421i
$732$	−7.30088	+	6.32624i	−0.269848	+	0.233825i
$733$	−8.10144	+	27.5910i	−0.299233	+	1.01910i	0.663395	+	0.748270i	$0.269115\pi$
$733$	−8.10144	+	27.5910i	−0.299233	+	1.01910i	−0.962628	+	0.270826i	$0.912703\pi$
$734$	−1.78720	+	3.91341i	−0.0659666	+	0.144447i
$735$	−3.83705	+	12.1780i	−0.141532	+	0.449191i
$736$	9.05863	−	23.1575i	0.333905	−	0.853597i
$737$			8.14906i			0.300175i
$738$	4.24403	+	1.93818i	0.156225	+	0.0713455i
$739$	36.4744	+	10.7099i	1.34173	+	0.393968i	0.872288	−	0.488993i	$-0.162636\pi$
$739$	36.4744	+	10.7099i	1.34173	+	0.393968i	0.469445	+	0.882962i	$0.344454\pi$
$740$	−29.4675	+	12.7642i	−1.08325	+	0.469220i
$741$	32.7173	−	21.0262i	1.20190	−	0.772415i
$742$	−0.582498	−	0.504737i	−0.0213842	−	0.0185295i
$743$	−16.2257	−	2.33291i	−0.595264	−	0.0855860i	−0.161903	−	0.986807i	$-0.551763\pi$
$743$	−16.2257	−	2.33291i	−0.595264	−	0.0855860i	−0.433361	+	0.901221i	$0.642672\pi$
$744$	41.3461	−	12.1403i	1.51582	−	0.445085i
$745$	−0.941579	−	1.13076i	−0.0344968	−	0.0414278i
$746$	1.34007	+	9.32039i	0.0490635	+	0.341244i
$747$	34.9724	−	15.9714i	1.27957	−	0.584361i
$748$	−2.44469	+	1.11645i	−0.0893869	+	0.0408216i
$749$	−5.35244	−	37.2270i	−0.195574	−	1.36025i
$750$	1.15902	+	13.7832i	0.0423214	+	0.503292i
$751$	−43.4954	+	12.7714i	−1.58717	+	0.466035i	−0.951939	−	0.306288i	$-0.900913\pi$
$751$	−43.4954	+	12.7714i	−1.58717	+	0.466035i	−0.635230	+	0.772323i	$0.719095\pi$
$752$	14.4037	+	2.07094i	0.525250	+	0.0755196i
$753$	−5.47165	−	4.74121i	−0.199398	−	0.172779i
$754$	3.22575	−	2.07307i	0.117475	−	0.0754966i
$755$	3.92052	+	9.05095i	0.142682	+	0.329398i
$756$	−5.46217	−	1.60384i	−0.198657	−	0.0583310i
$757$	−17.9408	−	8.19331i	−0.652071	−	0.297791i	0.0617787	−	0.998090i	$-0.480323\pi$
$757$	−17.9408	−	8.19331i	−0.652071	−	0.297791i	−0.713850	+	0.700299i	$0.753050\pi$
$758$			0.673475i			0.0244617i
$759$	−16.3768	+	5.81379i	−0.594441	+	0.211027i
$760$	−8.71792	+	27.6687i	−0.316232	+	1.00365i
$761$	0.991707	−	2.17153i	0.0359493	−	0.0787181i	−0.890805	−	0.454385i	$-0.849859\pi$
$761$	0.991707	−	2.17153i	0.0359493	−	0.0787181i	0.926755	+	0.375667i	$0.122586\pi$
$762$	−2.31223	+	7.87472i	−0.0837632	+	0.285271i
$763$	−3.82208	+	3.31185i	−0.138369	+	0.119897i
$764$	23.3966	−	15.0361i	0.846461	−	0.543987i
$765$	−3.01849	−	4.90607i	−0.109134	−	0.177379i
$766$	−0.589334	+	4.09891i	−0.0212935	+	0.148100i
$767$	5.70419	+	19.4267i	0.205966	+	0.701457i
$768$	2.29617	−	3.57291i	0.0828559	−	0.128926i
$769$	0.273803	+	1.90434i	0.00987359	+	0.0686723i	0.994163	−	0.107893i	$-0.0344104\pi$
$769$	0.273803	+	1.90434i	0.00987359	+	0.0686723i	−0.984289	+	0.176565i	$0.943501\pi$
$770$	−0.682067	−	5.50986i	−0.0245800	−	0.198561i
$771$	6.13796	+	13.4403i	0.221053	+	0.484039i
$772$	−20.5768	+	2.95850i	−0.740575	+	0.106479i
$773$	26.9567	−	41.9454i	0.969565	−	1.50867i	0.112378	−	0.993666i	$-0.464153\pi$
$773$	26.9567	−	41.9454i	0.969565	−	1.50867i	0.857186	−	0.515006i	$-0.172210\pi$
$774$	−13.8898	+	4.07842i	−0.499259	+	0.146596i
$775$	−31.9900	+	34.1146i	−1.14912	+	1.22543i
$776$	5.23398	−	6.04033i	0.187889	−	0.216835i
$777$	32.5555	+	50.6574i	1.16792	+	1.81732i
$778$	−3.23115	+	2.79981i	−0.115842	+	0.100378i
$779$	−22.2101	−	6.52148i	−0.795761	−	0.233656i
$780$	15.1401	−	16.7946i	0.542101	−	0.601343i
$781$	−13.6751			−0.489335
$782$	1.49715	+	2.06758i	0.0535379	+	0.0739364i
$783$		−	3.15040i		−	0.112586i
$784$	−2.43769	+	5.33780i	−0.0870603	+	0.190636i
$785$	0.892853	−	1.33110i	0.0318673	−	0.0475089i
$786$	0.516441	+	0.596005i	0.0184208	+	0.0212588i
$787$	−9.82653	−	15.2904i	−0.350278	−	0.545043i	0.620750	−	0.784009i	$-0.286828\pi$
$787$	−9.82653	−	15.2904i	−0.350278	−	0.545043i	−0.971028	+	0.238965i	$0.923192\pi$
$788$	−27.1022	−	23.4842i	−0.965475	−	0.836589i
$789$	2.13045	−	14.8176i	0.0758459	−	0.527520i
$790$	−0.175241	+	8.92333i	−0.00623478	+	0.317478i
$791$	−23.2606	−	14.9487i	−0.827052	−	0.531514i
$792$	−7.58109	+	1.09000i	−0.269382	+	0.0387313i
$793$	5.39433	−	2.46351i	0.191558	−	0.0874817i
$794$	−2.92738	−	6.41008i	−0.103889	−	0.227485i
$795$	0.406774	−	2.48215i	0.0144268	−	0.0880329i
$796$	10.0775	+	6.47643i	0.357188	+	0.229551i
$797$	−3.13318	−	10.6706i	−0.110983	−	0.377973i	0.885206	−	0.465200i	$-0.154018\pi$
$797$	−3.13318	−	10.6706i	−0.110983	−	0.377973i	−0.996188	+	0.0872273i	$0.972199\pi$
$798$	24.9255	+	3.58375i	0.882353	+	0.126863i
$799$	−3.98957	+	4.60421i	−0.141141	+	0.162885i
$800$	−1.01786	+	25.9048i	−0.0359867	+	0.915875i
$801$	−12.3637	−	14.2685i	−0.436851	−	0.504153i
$802$	−1.33517	+	4.54718i	−0.0471466	+	0.160566i
$803$	5.58106	+	2.54878i	0.196951	+	0.0899446i
$804$	−21.4897			−0.757884
$805$	31.2360	−	10.4029i	1.10093	−	0.366653i
$806$	−12.2456			−0.431331
$807$	−32.7997	−	14.9791i	−1.15461	−	0.527291i
$808$	4.42927	−	15.0847i	0.155821	−	0.530678i
$809$	−18.6232	−	21.4923i	−0.654756	−	0.755629i	0.327155	−	0.944971i	$-0.393910\pi$
$809$	−18.6232	−	21.4923i	−0.654756	−	0.755629i	−0.981911	+	0.189342i	$0.939365\pi$
$810$	3.13832	+	11.5203i	0.110269	+	0.404781i
$811$	5.89977	−	6.80870i	0.207169	−	0.239086i	−0.642651	−	0.766159i	$-0.722165\pi$
$811$	5.89977	−	6.80870i	0.207169	−	0.239086i	0.849820	+	0.527074i	$0.176711\pi$
$812$	−15.3429	−	2.20598i	−0.538432	−	0.0774148i
$813$	12.2709	+	41.7910i	0.430361	+	1.46567i
$814$	−5.66797	−	3.64258i	−0.198662	−	0.127672i
$815$	55.6349	+	9.11742i	1.94880	+	0.319369i
$816$	−2.39707	−	5.24884i	−0.0839141	−	0.183746i
$817$	65.3307	−	29.8356i	2.28563	−	1.04381i
$818$	6.73459	−	0.968288i	0.235469	−	0.0338554i
$819$	−16.3645	−	10.5168i	−0.571822	−	0.367488i
$820$	−13.4556	−	0.264248i	−0.469891	−	0.00922795i
$821$	−0.131655	+	0.915677i	−0.00459477	+	0.0319574i	−0.991990	−	0.126318i	$-0.959684\pi$
$821$	−0.131655	+	0.915677i	−0.00459477	+	0.0319574i	0.987395	+	0.158275i	$0.0505932\pi$
$822$	−15.7929	−	13.6846i	−0.550840	−	0.477306i
$823$	−15.2019	−	23.6547i	−0.529907	−	0.824551i	0.468352	−	0.883542i	$-0.344848\pi$
$823$	−15.2019	−	23.6547i	−0.529907	−	0.824551i	−0.998259	+	0.0589912i	$0.981212\pi$
$824$	15.5810	+	17.9815i	0.542790	+	0.626414i
$825$	14.1479	−	11.3180i	0.492567	−	0.394042i
$826$	−5.44597	+	11.9250i	−0.189490	+	0.414924i
$827$		−	23.9505i		−	0.832840i	−0.909172	−	0.416420i	$-0.863285\pi$
$827$		−	23.9505i		−	0.832840i	0.909172	−	0.416420i	$-0.136715\pi$
$828$	−7.03389	−	19.8137i	−0.244445	−	0.688574i
$829$	16.1895			0.562283			0.281142	−	0.959666i	$-0.409287\pi$
$829$	16.1895			0.562283			0.281142	+	0.959666i	$0.409287\pi$
$830$	11.8938	−	13.1936i	0.412841	−	0.457957i
$831$	26.8189	+	7.87475i	0.930338	+	0.273172i
$832$	3.98151	−	3.45000i	0.138034	−	0.119607i
$833$	−1.32820	−	2.06672i	−0.0460194	−	0.0716076i
$834$	−7.97265	+	9.20093i	−0.276070	+	0.318602i
$835$	−11.3778	−	5.46857i	−0.393746	−	0.189248i
$836$	16.8782	−	4.95587i	0.583743	−	0.171402i
$837$	−5.43937	+	8.46382i	−0.188012	+	0.292552i
$838$	−18.3548	+	2.63903i	−0.634058	+	0.0911637i
$839$	2.37584	+	5.20236i	0.0820230	+	0.179605i	0.946200	−	0.323583i	$-0.104887\pi$
$839$	2.37584	+	5.20236i	0.0820230	+	0.179605i	−0.864177	+	0.503188i	$0.832160\pi$
$840$	31.3871	−	3.88542i	1.08296	−	0.134060i
$841$	2.90633	+	20.2140i	0.100218	+	0.697034i
$842$	−3.44964	+	5.36775i	−0.118883	+	0.184985i
$843$	−16.6985	−	56.8699i	−0.575127	−	1.95870i
$844$	0.906037	−	6.30163i	0.0311871	−	0.216911i
$845$	12.9361	−	7.95902i	0.445015	−	0.273799i
$846$	−6.76132	+	4.34523i	−0.232459	+	0.149392i
$847$	20.0262	−	17.3528i	0.688107	−	0.596248i
$848$	0.325678	−	1.10916i	0.0111838	−	0.0380886i
$849$	26.7048	−	58.4754i	0.916507	−	2.00687i
$850$	−2.18068	−	1.52565i	−0.0747967	−	0.0523292i
$851$	14.5548	−	37.2080i	0.498933	−	1.27547i
$852$		−	36.0624i		−	1.23548i
$853$	−7.15627	−	3.26816i	−0.245026	−	0.111900i	0.289117	−	0.957294i	$-0.406638\pi$
$853$	−7.15627	−	3.26816i	−0.245026	−	0.111900i	−0.534143	+	0.845394i	$0.679366\pi$
$854$	3.68425	+	1.08179i	0.126073	+	0.0370182i
$855$	14.9857	+	34.5961i	0.512500	+	1.18316i
$856$	−20.1662	+	12.9601i	−0.689268	+	0.442965i
$857$	21.5800	+	18.6992i	0.737158	+	0.638751i	0.940280	−	0.340402i	$-0.110563\pi$
$857$	21.5800	+	18.6992i	0.737158	+	0.638751i	−0.203122	+	0.979154i	$0.565109\pi$
$858$	4.69574	+	0.675145i	0.160310	+	0.0230491i
$859$	36.3981	−	10.6875i	1.24189	−	0.364651i	0.406164	−	0.913800i	$-0.366866\pi$
$859$	36.3981	−	10.6875i	1.24189	−	0.364651i	0.835724	+	0.549149i	$0.185048\pi$
$860$	32.0887	−	26.7202i	1.09422	−	0.911150i
$861$	3.59146	+	24.9791i	0.122397	+	0.851287i
$862$	−0.369549	+	0.168767i	−0.0125869	+	0.00574824i
$863$	37.7563	−	17.2427i	1.28524	−	0.586949i	0.348609	−	0.937268i	$-0.386654\pi$
$863$	37.7563	−	17.2427i	1.28524	−	0.586949i	0.936631	+	0.350319i	$0.113927\pi$
$864$	0.793715	+	5.52041i	0.0270027	+	0.187808i
$865$	−26.5090	+	22.0739i	−0.901333	+	0.750537i
$866$	0.868198	−	0.254926i	0.0295026	−	0.00866273i
$867$	−37.2260	−	5.35229i	−1.26426	−	0.181773i
$868$	37.4114	+	32.4171i	1.26982	+	1.10031i
$869$	9.83482	−	6.32046i	0.333624	−	0.214407i
$870$	3.22045	+	7.43477i	0.109184	+	0.252062i
$871$	12.6575	+	3.71657i	0.428882	+	0.125931i
$872$	2.93214	+	1.33906i	0.0992947	+	0.0453463i
$873$		−	10.3874i		−	0.351561i
$874$	−7.77351	−	14.7896i	−0.262943	−	0.500265i
$875$	−27.2190	+	20.9115i	−0.920169	+	0.706937i
$876$	−6.72134	+	14.7177i	−0.227093	+	0.497264i
$877$	2.17580	−	7.41009i	0.0734715	−	0.250221i	−0.914566	−	0.404438i	$-0.867467\pi$
$877$	2.17580	−	7.41009i	0.0734715	−	0.250221i	0.988037	+	0.154217i	$0.0492854\pi$
$878$	10.2215	−	8.85698i	0.344959	−	0.298909i
$879$	−41.5136	+	26.6792i	−1.40022	+	0.899866i
$880$	7.09198	−	4.36340i	0.239071	−	0.147090i
$881$	0.832011	−	5.78677i	0.0280312	−	0.194961i	−0.970994	−	0.239104i	$-0.923146\pi$
$881$	0.832011	−	5.78677i	0.0280312	−	0.194961i	0.999025	+	0.0441425i	$0.0140556\pi$
$882$	−0.913102	−	3.10974i	−0.0307457	−	0.104710i
$883$	−3.44715	+	5.36386i	−0.116006	+	0.180508i	−0.894401	−	0.447266i	$-0.852398\pi$
$883$	−3.44715	+	5.36386i	−0.116006	+	0.180508i	0.778395	+	0.627775i	$0.216034\pi$
$884$	0.619165	+	4.30639i	0.0208248	+	0.144839i
$885$	−42.4578	+	5.25587i	−1.42720	+	0.176674i
$886$	−0.490210	−	1.07341i	−0.0164689	−	0.0360619i
$887$	15.8064	−	2.27261i	0.530726	−	0.0763069i	0.128258	−	0.991741i	$-0.459062\pi$
$887$	15.8064	−	2.27261i	0.530726	−	0.0763069i	0.402468	+	0.915434i	$0.368152\pi$
$888$	20.7501	−	32.2878i	0.696329	−	1.08351i
$889$	−19.5415	+	5.73789i	−0.655400	+	0.192443i
$890$	−7.86202	−	3.77875i	−0.263535	−	0.126664i
$891$	10.2420	−	11.8199i	0.343120	−	0.395982i
$892$	4.71059	+	7.32982i	0.157722	+	0.245420i
$893$	30.1356	−	26.1126i	1.00845	−	0.873826i
$894$	0.781143	+	0.229364i	0.0261253	+	0.00767108i
$895$	−37.2879	+	41.3628i	−1.24640	+	1.38261i
$896$	35.2476			1.17754
$897$	1.56120	+	28.0887i	0.0521269	+	0.937853i
$898$		−	3.21151i		−	0.107169i
$899$	−11.3802	+	24.9192i	−0.379551	+	0.831101i
$900$	13.6932	+	17.1171i	0.456441	+	0.570569i
$901$	0.316927	+	0.365753i	0.0105584	+	0.0121850i
$902$	−1.52656	−	2.37538i	−0.0508289	−	0.0790914i
$903$	−59.1754	−	51.2758i	−1.96923	−	1.70635i
$904$	−2.50807	+	17.4440i	−0.0834173	+	0.580180i
$905$	−18.4542	−	0.362413i	−0.613439	−	0.0120470i
$906$	−4.59095	−	2.95042i	−0.152524	−	0.0980212i
$907$	−28.9335	+	4.16001i	−0.960720	+	0.138131i	−0.604793	−	0.796383i	$-0.706744\pi$
$907$	−28.9335	+	4.16001i	−0.960720	+	0.138131i	−0.355928	+	0.934514i	$0.615835\pi$
$908$	17.8579	−	8.15543i	0.592635	−	0.270648i
$909$	−8.48794	−	18.5860i	−0.281527	−	0.616458i
$910$	−8.86921	−	1.45348i	−0.294012	−	0.0481825i
$911$	6.67603	+	4.29043i	0.221187	+	0.142148i	0.646542	−	0.762878i	$-0.276214\pi$
$911$	6.67603	+	4.29043i	0.221187	+	0.142148i	−0.425355	+	0.905026i	$0.639851\pi$
$912$	10.6404	+	36.2380i	0.352340	+	1.19996i
$913$	−23.0308	−	3.31133i	−0.762209	−	0.109589i
$914$	−8.79873	+	10.1543i	−0.291036	+	0.335874i
$915$	3.29355	+	12.0901i	0.108881	+	0.399686i
$916$	−18.5965	−	21.4615i	−0.614444	−	0.709107i
$917$	−0.551354	+	1.87774i	−0.0182073	+	0.0620085i
$918$	−0.520801	−	0.237842i	−0.0171890	−	0.00784995i
$919$	−21.0042			−0.692863			−0.346432	−	0.938075i	$-0.612607\pi$
$919$	−21.0042			−0.692863			−0.346432	+	0.938075i	$0.612607\pi$
$920$	−14.3019	−	15.3555i	−0.471520	−	0.506257i
$921$	13.2756			0.437445
$922$	−2.10059	−	0.959307i	−0.0691792	−	0.0315931i
$923$	−6.23687	+	21.2408i	−0.205289	+	0.699150i
$924$	−12.5587	−	14.4935i	−0.413150	−	0.476800i
$925$	−1.63543	+	41.6223i	−0.0537725	+	1.36853i
$926$	0.931037	−	1.07447i	0.0305958	−	0.0353094i
$927$	30.6076	+	4.40070i	1.00528	+	0.144538i
$928$	4.27839	+	14.5708i	0.140445	+	0.478311i
$929$	11.9377	+	7.67189i	0.391663	+	0.251706i	0.721620	−	0.692289i	$-0.243398\pi$
$929$	11.9377	+	7.67189i	0.391663	+	0.251706i	−0.329957	+	0.943996i	$0.607034\pi$
$930$	4.18457	−	25.5345i	0.137218	−	0.837308i
$931$	6.67977	+	14.6267i	0.218921	+	0.479369i
$932$	−10.1023	+	4.61356i	−0.330912	+	0.151122i
$933$	8.93506	−	1.28467i	0.292521	−	0.0420581i
$934$	−0.0903172	−	0.0580433i	−0.00295527	−	0.00189924i
$935$	−0.0684480	+	3.48540i	−0.00223849	+	0.113985i
$936$	−1.76450	+	12.2724i	−0.0576746	+	0.401135i
$937$	−15.8661	−	13.7481i	−0.518323	−	0.449129i	0.355992	−	0.934489i	$-0.384143\pi$
$937$	−15.8661	−	13.7481i	−0.518323	−	0.449129i	−0.874315	+	0.485360i	$0.838689\pi$
$938$	4.61796	+	7.18568i	0.150782	+	0.234621i
$939$	16.7006	+	19.2735i	0.545002	+	0.628966i
$940$	12.9145	−	19.2534i	0.421224	−	0.627976i
$941$	22.7195	−	49.7487i	0.740634	−	1.62176i	−0.0418756	−	0.999123i	$-0.513333\pi$
$941$	22.7195	−	49.7487i	0.740634	−	1.62176i	0.782509	−	0.622639i	$-0.213939\pi$
$942$			0.886795i			0.0288933i
$943$	12.0263	−	11.6503i	0.391629	−	0.379388i
$944$	−19.6620			−0.639944
$945$	−4.94424	+	5.48456i	−0.160836	+	0.178413i
$946$	8.40601	+	2.46823i	0.273303	+	0.0802490i
$947$	−21.2187	+	18.3861i	−0.689515	+	0.597468i	−0.927510	−	0.373798i	$-0.878055\pi$
$947$	−21.2187	+	18.3861i	−0.689515	+	0.597468i	0.237995	+	0.971266i	$0.423510\pi$
$948$	16.6675	+	25.9352i	0.541336	+	0.842336i
$949$	6.50425	−	7.50630i	0.211137	−	0.243665i
$950$	12.7066	+	11.9153i	0.412258	+	0.386584i
$951$	−48.5945	+	14.2686i	−1.57578	+	0.462692i
$952$	−3.28995	+	5.11927i	−0.106628	+	0.165916i
$953$	−21.6043	+	3.10623i	−0.699833	+	0.100621i	−0.483042	−	0.875597i	$-0.660468\pi$
$953$	−21.6043	+	3.10623i	−0.699833	+	0.100621i	−0.216791	+	0.976218i	$0.569559\pi$
$954$	0.265228	+	0.580769i	0.00858708	+	0.0188031i
$955$	−4.43189	−	35.8016i	−0.143412	−	1.15851i
$956$	7.07702	+	49.2218i	0.228887	+	1.59195i
$957$	5.73780	−	8.92819i	0.185477	−	0.288607i
$958$	3.40617	+	11.6004i	0.110048	+	0.374790i
$959$	7.37999	−	51.3290i	0.238312	−	1.65750i
$960$	5.83337	+	9.48119i	0.188271	+	0.306004i
$961$	47.5196	−	30.5390i	1.53289	−	0.985129i
$962$	−8.24282	+	7.14245i	−0.265759	+	0.230282i
$963$	−8.77728	+	29.8927i	−0.282844	+	0.963278i
$964$	7.43526	−	16.2809i	0.239474	−	0.524374i
$965$	−8.10343	+	25.7185i	−0.260859	+	0.827907i
$966$	−11.1462	+	14.4070i	−0.358622	+	0.463537i
$967$			16.4287i			0.528313i	0.964480	+	0.264156i	$0.0850935\pi$
$967$			16.4287i			0.528313i	−0.964480	+	0.264156i	$0.914907\pi$
$968$	−15.3632	−	7.01614i	−0.493792	−	0.225507i
$969$	−15.1713	−	4.45470i	−0.487372	−	0.143105i
$970$	−1.90757	−	4.40384i	−0.0612485	−	0.141399i
$971$	10.9236	−	7.02018i	0.350555	−	0.225288i	−0.353498	−	0.935435i	$-0.615008\pi$
$971$	10.9236	−	7.02018i	0.350555	−	0.225288i	0.704053	+	0.710147i	$0.251372\pi$
$972$	26.9659	+	23.3661i	0.864931	+	0.749467i
$973$	−29.9042	−	4.29958i	−0.958685	−	0.137838i
$974$	3.36852	−	0.989086i	0.107934	−	0.0316923i
$975$	−11.1271	−	27.1370i	−0.356353	−	0.869079i
$976$	0.819583	+	5.70033i	0.0262342	+	0.182463i
$977$	−18.9608	+	8.65912i	−0.606611	+	0.277030i	−0.694947	−	0.719061i	$-0.744572\pi$
$977$	−18.9608	+	8.65912i	−0.606611	+	0.277030i	0.0883363	+	0.996091i	$0.471845\pi$
$978$	−28.3732	+	12.9576i	−0.907275	+	0.414339i
$979$	1.62609	+	11.3097i	0.0519700	+	0.361459i
$980$	5.98228	+	7.18423i	0.191097	+	0.229492i
$981$	4.01962	−	1.18027i	0.128337	−	0.0376830i
$982$	18.0258	+	2.59172i	0.575226	+	0.0827050i
$983$	26.7818	+	23.2065i	0.854205	+	0.740173i	0.967360	−	0.253404i	$-0.0815503\pi$
$983$	26.7818	+	23.2065i	0.854205	+	0.740173i	−0.113155	+	0.993577i	$0.536096\pi$
$984$	13.5314	−	8.69612i	0.431366	−	0.277222i
$985$	−42.6838	+	18.4890i	−1.36002	+	0.589108i
$986$	−1.49581	−	0.439209i	−0.0476363	−	0.0139873i
$987$	−39.5438	−	18.0591i	−1.25869	−	0.574826i
$988$		−	28.4761i		−	0.905946i
$989$	−4.52839	+	51.7542i	−0.143994	+	1.64569i
$990$	−1.38208	+	4.38642i	−0.0439254	+	0.139410i
$991$	11.6431	−	25.4948i	0.369854	−	0.809868i	−0.629603	−	0.776917i	$-0.716782\pi$
$991$	11.6431	−	25.4948i	0.369854	−	0.809868i	0.999457	−	0.0329508i	$-0.0104904\pi$
$992$	13.6632	−	46.5327i	0.433808	−	1.47742i
$993$	−5.37785	+	4.65993i	−0.170661	+	0.147878i
$994$	−12.0585	+	7.74951i	−0.382472	+	0.245800i
$995$	13.2341	−	8.14238i	0.419549	−	0.258131i
$996$	8.73224	−	60.7341i	0.276692	−	1.92443i
$997$	−8.62198	−	29.3638i	−0.273061	−	0.929959i	−0.975828	−	0.218540i	$-0.929871\pi$
$997$	−8.62198	−	29.3638i	−0.273061	−	0.929959i	0.702767	−	0.711420i	$-0.251947\pi$
$998$	−9.39099	+	14.6127i	−0.297267	+	0.462556i
$999$	1.27529	+	8.86985i	0.0403484	+	0.280630i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	115.2.j.a.29.7	yes	100
5.2	odd	4		575.2.k.g.351.4		100
5.3	odd	4		575.2.k.g.351.7		100
5.4	even	2	inner	115.2.j.a.29.4	yes	100
23.4	even	11	inner	115.2.j.a.4.4	✓	100
115.4	even	22	inner	115.2.j.a.4.7	yes	100
115.27	odd	44		575.2.k.g.326.4		100
115.73	odd	44		575.2.k.g.326.7		100

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
115.2.j.a.4.4	✓	100	23.4	even	11	inner
115.2.j.a.4.7	yes	100	115.4	even	22	inner
115.2.j.a.29.4	yes	100	5.4	even	2	inner
115.2.j.a.29.7	yes	100	1.1	even	1	trivial
575.2.k.g.326.4		100	115.27	odd	44
575.2.k.g.326.7		100	115.73	odd	44
575.2.k.g.351.4		100	5.2	odd	4
575.2.k.g.351.7		100	5.3	odd	4

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:	\( N \)	\(=\)	\( 115 = 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	115.j (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.477984 + 0.218288i) q^{2} +(0.663307 - 2.25902i) q^{3} +(-1.12890 - 1.30282i) q^{4} +(-2.15745 + 0.587726i) q^{5} +(0.810167 - 0.934983i) q^{6} +(3.03882 + 0.436916i) q^{7} +(-0.551291 - 1.87752i) q^{8} +(-2.13942 - 1.37492i) q^{9} +O(q^{10})\)	\(q+(0.477984 + 0.218288i) q^{2} +(0.663307 - 2.25902i) q^{3} +(-1.12890 - 1.30282i) q^{4} +(-2.15745 + 0.587726i) q^{5} +(0.810167 - 0.934983i) q^{6} +(3.03882 + 0.436916i) q^{7} +(-0.551291 - 1.87752i) q^{8} +(-2.13942 - 1.37492i) q^{9} +(-1.15952 - 0.190022i) q^{10} +(0.639358 + 1.40000i) q^{11} +(-3.69191 + 1.68604i) q^{12} +(2.46613 - 0.354576i) q^{13} +(1.35713 + 0.872177i) q^{14} +(-0.103368 + 5.26355i) q^{15} +(-0.344335 + 2.39490i) q^{16} +(-0.765539 - 0.663343i) q^{17} +(-0.722480 - 1.12420i) q^{18} +(4.34173 + 5.01062i) q^{19} +(3.20125 + 2.14729i) q^{20} +(3.00267 - 6.57493i) q^{21} +0.808742i q^{22} +(-4.70182 + 0.944904i) q^{23} -4.60703 q^{24} +(4.30916 - 2.53597i) q^{25} +(1.25617 + 0.368845i) q^{26} +(0.812918 - 0.704397i) q^{27} +(-2.86130 - 4.45227i) q^{28} +(1.91799 - 2.21348i) q^{29} +(-1.19838 + 2.49333i) q^{30} +(-8.97455 + 2.63517i) q^{31} +(-2.80320 + 4.36187i) q^{32} +(3.58671 - 0.515691i) q^{33} +(-0.221116 - 0.484176i) q^{34} +(-6.81287 + 0.843367i) q^{35} +(0.623916 + 4.33943i) q^{36} +(-4.50401 + 7.00838i) q^{37} +(0.981520 + 3.34275i) q^{38} +(0.834809 - 5.80622i) q^{39} +(2.29285 + 3.72665i) q^{40} +(-2.93712 + 1.88758i) q^{41} +(2.87046 - 2.48727i) q^{42} +(3.05193 - 10.3939i) q^{43} +(1.10218 - 2.41343i) q^{44} +(5.42376 + 1.70893i) q^{45} +(-2.45366 - 0.574703i) q^{46} -6.01433i q^{47} +(5.18172 + 2.36641i) q^{48} +(2.32706 + 0.683286i) q^{49} +(2.61328 - 0.271518i) q^{50} +(-2.00629 + 1.28937i) q^{51} +(-3.24597 - 2.81265i) q^{52} +(-0.472909 - 0.0679941i) q^{53} +(0.542324 - 0.159241i) q^{54} +(-2.20220 - 2.64466i) q^{55} +(-0.854952 - 5.94632i) q^{56} +(14.1990 - 6.48446i) q^{57} +(1.39994 - 0.639333i) q^{58} +(1.15651 + 8.04367i) q^{59} +(6.97417 - 5.80736i) q^{60} +(2.28378 - 0.670578i) q^{61} +(-4.86492 - 0.699470i) q^{62} +(-5.90058 - 5.11288i) q^{63} +(1.77884 - 1.14319i) q^{64} +(-5.11216 + 2.21439i) q^{65} +(1.82696 + 0.536444i) q^{66} +(4.81628 + 2.19952i) q^{67} +1.74621i q^{68} +(-0.984201 + 11.2483i) q^{69} +(-3.44054 - 1.08405i) q^{70} +(-3.69107 + 8.08231i) q^{71} +(-1.40201 + 4.77479i) q^{72} +(3.01277 - 2.61058i) q^{73} +(-3.68269 + 2.36672i) q^{74} +(-2.87051 - 11.4166i) q^{75} +(1.62657 - 11.3130i) q^{76} +(1.33121 + 4.53369i) q^{77} +(1.66646 - 2.59306i) q^{78} +(-1.08101 - 7.51856i) q^{79} +(-0.664661 - 5.36925i) q^{80} +(-4.22140 - 9.24357i) q^{81} +(-1.81594 + 0.261092i) q^{82} +(-8.17334 + 12.7180i) q^{83} +(-11.9557 + 3.51050i) q^{84} +(2.04147 + 0.981202i) q^{85} +(3.72765 - 4.30193i) q^{86} +(-3.72806 - 5.80098i) q^{87} +(2.27606 - 1.97222i) q^{88} +(7.12317 + 2.09155i) q^{89} +(2.21943 + 2.00078i) q^{90} +7.64904 q^{91} +(6.53894 + 5.05894i) q^{92} +22.0216i q^{93} +(1.31286 - 2.87476i) q^{94} +(-12.3119 - 8.25841i) q^{95} +(7.99415 + 9.22575i) q^{96} +(2.20825 + 3.43610i) q^{97} +(0.963144 + 0.834569i) q^{98} +(0.557033 - 3.87425i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 100 q - 14 q^{4} - 9 q^{5} - 18 q^{6} - 12 q^{9}+O(q^{10}) \) 100 * q - 14 * q^4 - 9 * q^5 - 18 * q^6 - 12 * q^9	\( 100 q - 14 q^{4} - 9 q^{5} - 18 q^{6} - 12 q^{9} - 13 q^{10} - 26 q^{11} - 26 q^{14} - 10 q^{15} - 18 q^{16} - 14 q^{19} + 49 q^{20} - 22 q^{21} - 68 q^{24} + 21 q^{25} - 42 q^{26} - 24 q^{29} + 19 q^{30} - 12 q^{31} + 8 q^{34} - 37 q^{35} - 10 q^{36} + 14 q^{39} - q^{40} + 8 q^{41} + 166 q^{44} - 42 q^{45} - 18 q^{46} + 32 q^{49} - 23 q^{50} - 22 q^{51} + 116 q^{54} + 27 q^{55} - 116 q^{56} + 50 q^{59} + 123 q^{60} - 38 q^{61} + 10 q^{64} + 76 q^{65} - 28 q^{66} + 80 q^{69} + 102 q^{70} - 110 q^{71} + 22 q^{74} + 6 q^{75} + 4 q^{76} + 42 q^{79} + 18 q^{80} + 204 q^{81} + 56 q^{84} - 121 q^{85} + 132 q^{86} - 66 q^{89} - 198 q^{90} + 76 q^{91} - 70 q^{94} - 74 q^{95} + 236 q^{96} - 60 q^{99}+O(q^{100}) \) 100 * q - 14 * q^4 - 9 * q^5 - 18 * q^6 - 12 * q^9 - 13 * q^10 - 26 * q^11 - 26 * q^14 - 10 * q^15 - 18 * q^16 - 14 * q^19 + 49 * q^20 - 22 * q^21 - 68 * q^24 + 21 * q^25 - 42 * q^26 - 24 * q^29 + 19 * q^30 - 12 * q^31 + 8 * q^34 - 37 * q^35 - 10 * q^36 + 14 * q^39 - q^40 + 8 * q^41 + 166 * q^44 - 42 * q^45 - 18 * q^46 + 32 * q^49 - 23 * q^50 - 22 * q^51 + 116 * q^54 + 27 * q^55 - 116 * q^56 + 50 * q^59 + 123 * q^60 - 38 * q^61 + 10 * q^64 + 76 * q^65 - 28 * q^66 + 80 * q^69 + 102 * q^70 - 110 * q^71 + 22 * q^74 + 6 * q^75 + 4 * q^76 + 42 * q^79 + 18 * q^80 + 204 * q^81 + 56 * q^84 - 121 * q^85 + 132 * q^86 - 66 * q^89 - 198 * q^90 + 76 * q^91 - 70 * q^94 - 74 * q^95 + 236 * q^96 - 60 * q^99

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