LMFDB - Embedded newform 75.2.i.a.19.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [75,2,Mod(4,75)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(75, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 1]))

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

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

chi := DirichletCharacter("75.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 75 = 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	75.i (of order $10$, degree $4$, 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:	$0.598878015160$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{10})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} + \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} + 20x^{14} + 156x^{12} + 610x^{10} + 1286x^{8} + 1440x^{6} + 761x^{4} + 130x^{2} + 1 $ x^16 + 20x^14 + 156x^12 + 610x^10 + 1286x^8 + 1440x^6 + 761x^4 + 130*x^2 + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			19.4
Root			$1.53655i$ of defining polynomial
Character	$\chi$	$=$	75.19
Dual form			75.2.i.a.4.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.46134 - 0.474819i) q^{2} +(0.587785 + 0.809017i) q^{3} +(0.292036 - 0.212177i) q^{4} +(-2.06122 - 0.866816i) q^{5} +(1.24309 + 0.903160i) q^{6} -1.49550i q^{7} +(-1.48030 + 2.03746i) q^{8} +(-0.309017 + 0.951057i) q^{9} +O(q^{10})$	\(q+(1.46134 - 0.474819i) q^{2} +(0.587785 + 0.809017i) q^{3} +(0.292036 - 0.212177i) q^{4} +(-2.06122 - 0.866816i) q^{5} +(1.24309 + 0.903160i) q^{6} -1.49550i q^{7} +(-1.48030 + 2.03746i) q^{8} +(-0.309017 + 0.951057i) q^{9} +(-3.42373 - 0.288008i) q^{10} +(-0.728123 - 2.24093i) q^{11} +(0.343309 + 0.111548i) q^{12} +(1.28346 + 0.417020i) q^{13} +(-0.710090 - 2.18543i) q^{14} +(-0.510286 - 2.17706i) q^{15} +(-1.41890 + 4.36692i) q^{16} +(1.28963 - 1.77502i) q^{17} +1.53655i q^{18} +(4.62004 + 3.35666i) q^{19} +(-0.785869 + 0.184201i) q^{20} +(1.20988 - 0.879031i) q^{21} +(-2.12807 - 2.92904i) q^{22} +(-8.36455 + 2.71781i) q^{23} -2.51844 q^{24} +(3.49726 + 3.57340i) q^{25} +2.07358 q^{26} +(-0.951057 + 0.309017i) q^{27} +(-0.317309 - 0.436739i) q^{28} +(6.39137 - 4.64360i) q^{29} +(-1.77942 - 2.93914i) q^{30} +(2.99107 + 2.17314i) q^{31} +2.01841i q^{32} +(1.38497 - 1.90625i) q^{33} +(1.04178 - 3.20626i) q^{34} +(-1.29632 + 3.08255i) q^{35} +(0.111548 + 0.343309i) q^{36} +(-9.27372 - 3.01321i) q^{37} +(8.34527 + 2.71154i) q^{38} +(0.417020 + 1.28346i) q^{39} +(4.81733 - 2.91650i) q^{40} +(0.573380 - 1.76468i) q^{41} +(1.35067 - 1.85904i) q^{42} -8.01874i q^{43} +(-0.688111 - 0.499942i) q^{44} +(1.46134 - 1.69248i) q^{45} +(-10.9330 + 7.94330i) q^{46} +(3.91640 + 5.39046i) q^{47} +(-4.36692 + 1.41890i) q^{48} +4.76349 q^{49} +(6.80741 + 3.56139i) q^{50} +2.19405 q^{51} +(0.463298 - 0.150535i) q^{52} +(-2.45196 - 3.37484i) q^{53} +(-1.24309 + 0.903160i) q^{54} +(-0.441653 + 5.25020i) q^{55} +(3.04701 + 2.21378i) q^{56} +5.71069i q^{57} +(7.13511 - 9.82064i) q^{58} +(-3.41917 + 10.5231i) q^{59} +(-0.610944 - 0.527510i) q^{60} +(-3.78151 - 11.6383i) q^{61} +(5.40283 + 1.75549i) q^{62} +(1.42230 + 0.462134i) q^{63} +(-1.87942 - 5.78425i) q^{64} +(-2.28401 - 1.97209i) q^{65} +(1.11879 - 3.44330i) q^{66} +(-2.53546 + 3.48976i) q^{67} -0.792000i q^{68} +(-7.11531 - 5.16958i) q^{69} +(-0.430715 + 5.12018i) q^{70} +(-4.67410 + 3.39593i) q^{71} +(-1.48030 - 2.03746i) q^{72} +(-6.58781 + 2.14051i) q^{73} -14.9828 q^{74} +(-0.835300 + 4.92973i) q^{75} +2.06142 q^{76} +(-3.35130 + 1.08890i) q^{77} +(1.21882 + 1.67756i) q^{78} +(-8.63118 + 6.27092i) q^{79} +(6.70997 - 7.77126i) q^{80} +(-0.809017 - 0.587785i) q^{81} -2.85106i q^{82} +(0.131666 - 0.181222i) q^{83} +(0.166819 - 0.513417i) q^{84} +(-4.19683 + 2.54084i) q^{85} +(-3.80745 - 11.7181i) q^{86} +(7.51351 + 2.44129i) q^{87} +(5.64364 + 1.83373i) q^{88} +(-0.132620 - 0.408162i) q^{89} +(1.33190 - 3.16716i) q^{90} +(0.623652 - 1.91940i) q^{91} +(-1.86610 + 2.56846i) q^{92} +3.69717i q^{93} +(8.28270 + 6.01773i) q^{94} +(-6.61332 - 10.9235i) q^{95} +(-1.63293 + 1.18639i) q^{96} +(7.34411 + 10.1083i) q^{97} +(6.96109 - 2.26180i) q^{98} +2.35626 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q + 2 q^{4} + 2 q^{6} - 30 q^{8} + 4 q^{9}+O(q^{10}) $ 16 * q + 2 * q^4 + 2 * q^6 - 30 * q^8 + 4 * q^9	$ 16 q + 2 q^{4} + 2 q^{6} - 30 q^{8} + 4 q^{9} - 6 q^{11} - 12 q^{14} - 10 q^{16} + 10 q^{17} - 2 q^{19} + 20 q^{20} + 4 q^{21} - 30 q^{22} - 20 q^{23} + 24 q^{24} - 10 q^{25} + 12 q^{26} + 30 q^{28} + 16 q^{29} - 20 q^{30} + 6 q^{31} + 10 q^{33} - 36 q^{34} + 10 q^{35} - 2 q^{36} - 10 q^{37} + 30 q^{38} - 8 q^{39} + 10 q^{40} - 14 q^{41} - 10 q^{42} + 26 q^{44} + 16 q^{46} + 40 q^{47} + 20 q^{50} - 32 q^{51} + 40 q^{52} + 10 q^{53} - 2 q^{54} + 10 q^{55} + 10 q^{58} + 12 q^{59} - 30 q^{60} - 10 q^{62} - 10 q^{63} + 8 q^{64} - 70 q^{65} + 16 q^{66} - 40 q^{67} - 12 q^{69} + 30 q^{70} - 8 q^{71} - 30 q^{72} - 20 q^{73} - 52 q^{74} - 32 q^{76} - 40 q^{77} - 20 q^{79} - 4 q^{81} + 10 q^{83} + 12 q^{84} - 20 q^{85} - 36 q^{86} + 40 q^{87} - 40 q^{88} + 18 q^{89} + 30 q^{90} + 26 q^{91} + 10 q^{92} - 38 q^{94} - 40 q^{95} - 26 q^{96} + 40 q^{97} + 60 q^{98} - 4 q^{99}+O(q^{100}) $ 16 * q + 2 * q^4 + 2 * q^6 - 30 * q^8 + 4 * q^9 - 6 * q^11 - 12 * q^14 - 10 * q^16 + 10 * q^17 - 2 * q^19 + 20 * q^20 + 4 * q^21 - 30 * q^22 - 20 * q^23 + 24 * q^24 - 10 * q^25 + 12 * q^26 + 30 * q^28 + 16 * q^29 - 20 * q^30 + 6 * q^31 + 10 * q^33 - 36 * q^34 + 10 * q^35 - 2 * q^36 - 10 * q^37 + 30 * q^38 - 8 * q^39 + 10 * q^40 - 14 * q^41 - 10 * q^42 + 26 * q^44 + 16 * q^46 + 40 * q^47 + 20 * q^50 - 32 * q^51 + 40 * q^52 + 10 * q^53 - 2 * q^54 + 10 * q^55 + 10 * q^58 + 12 * q^59 - 30 * q^60 - 10 * q^62 - 10 * q^63 + 8 * q^64 - 70 * q^65 + 16 * q^66 - 40 * q^67 - 12 * q^69 + 30 * q^70 - 8 * q^71 - 30 * q^72 - 20 * q^73 - 52 * q^74 - 32 * q^76 - 40 * q^77 - 20 * q^79 - 4 * q^81 + 10 * q^83 + 12 * q^84 - 20 * q^85 - 36 * q^86 + 40 * q^87 - 40 * q^88 + 18 * q^89 + 30 * q^90 + 26 * q^91 + 10 * q^92 - 38 * q^94 - 40 * q^95 - 26 * q^96 + 40 * q^97 + 60 * q^98 - 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/75\mathbb{Z}\right)^\times$.

$n$	$26$	$52$
$\chi(n)$	$1$	$e\left(\frac{9}{10}\right)$

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 $

$2$	1.46134	−	0.474819i	1.03333	−	0.335748i	0.257221	−	0.966353i	$-0.417193\pi$
$2$	1.46134	−	0.474819i	1.03333	−	0.335748i	0.776104	+	0.630605i	$0.217193\pi$
$3$	0.587785	+	0.809017i	0.339358	+	0.467086i
$3$	0.587785	+	0.809017i	0.339358	+	0.467086i
$4$	0.292036	−	0.212177i	0.146018	−	0.106088i
$5$	−2.06122	−	0.866816i	−0.921806	−	0.387652i
$5$	−2.06122	−	0.866816i	−0.921806	−	0.387652i
$6$	1.24309	+	0.903160i	0.507490	+	0.368713i
$7$		−	1.49550i		−	0.565244i	−0.959231	−	0.282622i	$-0.908796\pi$
$7$		−	1.49550i		−	0.565244i	0.959231	−	0.282622i	$-0.0912043\pi$
$8$	−1.48030	+	2.03746i	−0.523365	+	0.720350i
$9$	−0.309017	+	0.951057i	−0.103006	+	0.317019i
$10$	−3.42373	−	0.288008i	−1.08268	−	0.0910762i
$11$	−0.728123	−	2.24093i	−0.219537	−	0.675666i	−0.998800	−	0.0489693i	$-0.984406\pi$
$11$	−0.728123	−	2.24093i	−0.219537	−	0.675666i	0.779263	−	0.626697i	$-0.215594\pi$
$12$	0.343309	+	0.111548i	0.0991048	+	0.0322011i
$13$	1.28346	+	0.417020i	0.355967	+	0.115661i	0.481541	−	0.876424i	$-0.340077\pi$
$13$	1.28346	+	0.417020i	0.355967	+	0.115661i	−0.125574	+	0.992084i	$0.540077\pi$
$14$	−0.710090	−	2.18543i	−0.189780	−	0.584081i
$15$	−0.510286	−	2.17706i	−0.131755	−	0.562116i
$16$	−1.41890	+	4.36692i	−0.354724	+	1.09173i
$17$	1.28963	−	1.77502i	0.312781	−	0.430507i	−0.623465	−	0.781851i	$-0.714276\pi$
$17$	1.28963	−	1.77502i	0.312781	−	0.430507i	0.936246	+	0.351345i	$0.114276\pi$
$18$			1.53655i			0.362168i
$19$	4.62004	+	3.35666i	1.05991	+	0.770070i	0.974072	−	0.226239i	$-0.0726431\pi$
$19$	4.62004	+	3.35666i	1.05991	+	0.770070i	0.0858386	+	0.996309i	$0.472643\pi$
$20$	−0.785869	+	0.184201i	−0.175726	+	0.0411887i
$21$	1.20988	−	0.879031i	0.264018	−	0.191820i
$22$	−2.12807	−	2.92904i	−0.453707	−	0.624474i
$23$	−8.36455	+	2.71781i	−1.74413	+	0.566702i	−0.995368	−	0.0961375i	$-0.969351\pi$
$23$	−8.36455	+	2.71781i	−1.74413	+	0.566702i	−0.748762	+	0.662840i	$0.769351\pi$
$24$	−2.51844			−0.514074
$25$	3.49726	+	3.57340i	0.699452	+	0.714679i
$26$	2.07358			0.406662
$27$	−0.951057	+	0.309017i	−0.183031	+	0.0594703i
$28$	−0.317309	−	0.436739i	−0.0599658	−	0.0825359i
$29$	6.39137	−	4.64360i	1.18685	−	0.862296i	0.193920	−	0.981017i	$-0.437880\pi$
$29$	6.39137	−	4.64360i	1.18685	−	0.862296i	0.992928	+	0.118722i	$0.0378796\pi$
$30$	−1.77942	−	2.93914i	−0.324875	−	0.536612i
$31$	2.99107	+	2.17314i	0.537213	+	0.390308i	0.823049	−	0.567971i	$-0.192271\pi$
$31$	2.99107	+	2.17314i	0.537213	+	0.390308i	−0.285836	+	0.958279i	$0.592271\pi$
$32$			2.01841i			0.356808i
$33$	1.38497	−	1.90625i	0.241093	−	0.331836i
$34$	1.04178	−	3.20626i	0.178663	−	0.549869i
$35$	−1.29632	+	3.08255i	−0.219118	+	0.521046i
$36$	0.111548	+	0.343309i	0.0185913	+	0.0572182i
$37$	−9.27372	−	3.01321i	−1.52459	−	0.495369i	−0.577515	−	0.816380i	$-0.695977\pi$
$37$	−9.27372	−	3.01321i	−1.52459	−	0.495369i	−0.947076	+	0.321011i	$0.895977\pi$
$38$	8.34527	+	2.71154i	1.35378	+	0.439870i
$39$	0.417020	+	1.28346i	0.0667767	+	0.205518i
$40$	4.81733	−	2.91650i	0.761686	−	0.461140i
$41$	0.573380	−	1.76468i	0.0895468	−	0.275597i	−0.896247	−	0.443555i	$-0.853717\pi$
$41$	0.573380	−	1.76468i	0.0895468	−	0.275597i	0.985794	+	0.167958i	$0.0537172\pi$
$42$	1.35067	−	1.85904i	0.208413	−	0.286856i
$43$		−	8.01874i		−	1.22285i	−0.791304	−	0.611423i	$-0.790597\pi$
$43$		−	8.01874i		−	1.22285i	0.791304	−	0.611423i	$-0.209403\pi$
$44$	−0.688111	−	0.499942i	−0.103737	−	0.0753691i
$45$	1.46134	−	1.69248i	0.217844	−	0.252300i
$46$	−10.9330	+	7.94330i	−1.61198	+	1.17118i
$47$	3.91640	+	5.39046i	0.571266	+	0.786280i	0.992704	−	0.120577i	$-0.0384746\pi$
$47$	3.91640	+	5.39046i	0.571266	+	0.786280i	−0.421438	+	0.906857i	$0.638475\pi$
$48$	−4.36692	+	1.41890i	−0.630310	+	0.204800i
$49$	4.76349			0.680499
$50$	6.80741	+	3.56139i	0.962714	+	0.503657i
$51$	2.19405			0.307228
$52$	0.463298	−	0.150535i	0.0642478	−	0.0208754i
$53$	−2.45196	−	3.37484i	−0.336803	−	0.463569i	0.606701	−	0.794930i	$-0.292492\pi$
$53$	−2.45196	−	3.37484i	−0.336803	−	0.463569i	−0.943504	+	0.331360i	$0.892492\pi$
$54$	−1.24309	+	0.903160i	−0.169163	+	0.122904i
$55$	−0.441653	+	5.25020i	−0.0595525	+	0.707937i
$56$	3.04701	+	2.21378i	0.407174	+	0.295829i
$57$			5.71069i			0.756399i
$58$	7.13511	−	9.82064i	0.936886	−	1.28951i
$59$	−3.41917	+	10.5231i	−0.445138	+	1.36999i	0.437195	+	0.899367i	$0.355972\pi$
$59$	−3.41917	+	10.5231i	−0.445138	+	1.36999i	−0.882332	+	0.470627i	$0.844028\pi$
$60$	−0.610944	−	0.527510i	−0.0788725	−	0.0681013i
$61$	−3.78151	−	11.6383i	−0.484173	−	1.49013i	−0.833175	−	0.553009i	$-0.813480\pi$
$61$	−3.78151	−	11.6383i	−0.484173	−	1.49013i	0.349003	−	0.937122i	$-0.386520\pi$
$62$	5.40283	+	1.75549i	0.686161	+	0.222947i
$63$	1.42230	+	0.462134i	0.179193	+	0.0582234i
$64$	−1.87942	−	5.78425i	−0.234927	−	0.723031i
$65$	−2.28401	−	1.97209i	−0.283296	−	0.244608i
$66$	1.11879	−	3.44330i	0.137714	−	0.423841i
$67$	−2.53546	+	3.48976i	−0.309756	+	0.426342i	−0.935305	−	0.353842i	$-0.884875\pi$
$67$	−2.53546	+	3.48976i	−0.309756	+	0.426342i	0.625549	+	0.780185i	$0.284875\pi$
$68$		−	0.792000i		−	0.0960442i
$69$	−7.11531	−	5.16958i	−0.856583	−	0.622344i
$70$	−0.430715	+	5.12018i	−0.0514803	+	0.611978i
$71$	−4.67410	+	3.39593i	−0.554713	+	0.403023i	−0.829520	−	0.558477i	$-0.811386\pi$
$71$	−4.67410	+	3.39593i	−0.554713	+	0.403023i	0.274807	+	0.961499i	$0.411386\pi$
$72$	−1.48030	−	2.03746i	−0.174455	−	0.240117i
$73$	−6.58781	+	2.14051i	−0.771045	+	0.250528i	−0.668012	−	0.744150i	$-0.732855\pi$
$73$	−6.58781	+	2.14051i	−0.771045	+	0.250528i	−0.103033	+	0.994678i	$0.532855\pi$
$74$	−14.9828			−1.74172
$75$	−0.835300	+	4.92973i	−0.0964522	+	0.569237i
$76$	2.06142			0.236461
$77$	−3.35130	+	1.08890i	−0.381917	+	0.124092i
$78$	1.21882	+	1.67756i	0.138004	+	0.189946i
$79$	−8.63118	+	6.27092i	−0.971084	+	0.705534i	−0.955698	−	0.294348i	$-0.904898\pi$
$79$	−8.63118	+	6.27092i	−0.971084	+	0.705534i	−0.0153858	+	0.999882i	$0.504898\pi$
$80$	6.70997	−	7.77126i	0.750198	−	0.868853i
$81$	−0.809017	−	0.587785i	−0.0898908	−	0.0653095i
$82$		−	2.85106i		−	0.314846i
$83$	0.131666	−	0.181222i	0.0144522	−	0.0198917i	−0.801730	−	0.597687i	$-0.796087\pi$
$83$	0.131666	−	0.181222i	0.0144522	−	0.0198917i	0.816182	+	0.577795i	$0.196087\pi$
$84$	0.166819	−	0.513417i	0.0182015	−	0.0560184i
$85$	−4.19683	+	2.54084i	−0.455210	+	0.275593i
$86$	−3.80745	−	11.7181i	−0.410568	−	1.26360i
$87$	7.51351	+	2.44129i	0.805533	+	0.261733i
$88$	5.64364	+	1.83373i	0.601615	+	0.195476i
$89$	−0.132620	−	0.408162i	−0.0140577	−	0.0432651i	0.943782	−	0.330570i	$-0.107241\pi$
$89$	−0.132620	−	0.408162i	−0.0140577	−	0.0432651i	−0.957839	+	0.287304i	$0.907241\pi$
$90$	1.33190	−	3.16716i	0.140395	−	0.333848i
$91$	0.623652	−	1.91940i	0.0653765	−	0.201208i
$92$	−1.86610	+	2.56846i	−0.194554	+	0.267780i
$93$			3.69717i			0.383379i
$94$	8.28270	+	6.01773i	0.854295	+	0.620682i
$95$	−6.61332	−	10.9235i	−0.678513	−	1.12073i
$96$	−1.63293	+	1.18639i	−0.166660	+	0.121086i
$97$	7.34411	+	10.1083i	0.745682	+	1.02634i	0.998272	+	0.0587692i	$0.0187176\pi$
$97$	7.34411	+	10.1083i	0.745682	+	1.02634i	−0.252590	+	0.967573i	$0.581282\pi$
$98$	6.96109	−	2.26180i	0.703177	−	0.228476i
$99$	2.35626			0.236813
$100$	1.77952	+	0.301524i	0.177952	+	0.0301524i
$101$	8.19767			0.815698			0.407849	−	0.913049i	$-0.366279\pi$
$101$	8.19767			0.815698			0.407849	+	0.913049i	$0.366279\pi$
$102$	3.20626	−	1.04178i	0.317467	−	0.103151i
$103$	−1.46949	−	2.02258i	−0.144794	−	0.199291i	0.730460	−	0.682955i	$-0.239306\pi$
$103$	−1.46949	−	2.02258i	−0.144794	−	0.199291i	−0.875254	+	0.483664i	$0.839306\pi$
$104$	−2.74956	+	1.99767i	−0.269617	+	0.195888i
$105$	−3.25579	+	0.763131i	−0.317733	+	0.0744740i
$106$	−5.18559	−	3.76755i	−0.503669	−	0.365937i
$107$			1.81004i			0.174983i	0.996165	+	0.0874914i	$0.0278850\pi$
$107$			1.81004i			0.174983i	−0.996165	+	0.0874914i	$0.972115\pi$
$108$	−0.212177	+	0.292036i	−0.0204167	+	0.0281012i
$109$	0.910913	−	2.80350i	0.0872496	−	0.268527i	−0.897907	−	0.440186i	$-0.854913\pi$
$109$	0.910913	−	2.80350i	0.0872496	−	0.268527i	0.985156	+	0.171659i	$0.0549127\pi$
$110$	1.84749	+	7.88205i	0.176151	+	0.751524i
$111$	−3.01321	−	9.27372i	−0.286002	−	0.880223i
$112$	6.53071	+	2.12196i	0.617094	+	0.200506i
$113$	13.1593	+	4.27571i	1.23792	+	0.402225i	0.853577	−	0.520966i	$-0.174428\pi$
$113$	13.1593	+	4.27571i	1.23792	+	0.402225i	0.384342	+	0.923191i	$0.374428\pi$
$114$	2.71154	+	8.34527i	0.253959	+	0.781606i
$115$	19.5970	+	1.64852i	1.82743	+	0.153726i
$116$	0.881247	−	2.71220i	0.0818217	−	0.251821i
$117$	−0.793220	+	1.09177i	−0.0733332	+	0.100934i
$118$			17.0014i			1.56510i
$119$	−2.65454	−	1.92864i	−0.243341	−	0.176798i
$120$	5.19105	+	2.18302i	0.473876	+	0.199282i
$121$	4.40757	−	3.20229i	0.400689	−	0.291117i
$122$	−11.0522	−	15.2120i	−1.00062	−	1.37723i
$123$	1.76468	−	0.573380i	0.159116	−	0.0516999i
$124$	1.33459			0.119850
$125$	−4.11115	−	10.3970i	−0.367712	−	0.929940i
$126$	2.29790			0.204713
$127$	5.45902	−	1.77374i	0.484410	−	0.157394i	−0.0566233	−	0.998396i	$-0.518033\pi$
$127$	5.45902	−	1.77374i	0.484410	−	0.157394i	0.541033	+	0.841001i	$0.318033\pi$
$128$	−7.86572	−	10.8262i	−0.695238	−	0.956914i
$129$	6.48730	−	4.71330i	0.571175	−	0.414983i
$130$	−4.27411	−	1.79741i	−0.374864	−	0.157643i
$131$	3.52534	+	2.56131i	0.308010	+	0.223783i	0.731042	−	0.682332i	$-0.239034\pi$
$131$	3.52534	+	2.56131i	0.308010	+	0.223783i	−0.423032	+	0.906115i	$0.639034\pi$
$132$		−	0.850553i		−	0.0740311i
$133$	5.01987	−	6.90926i	0.435278	−	0.599108i
$134$	−2.04817	+	6.30363i	−0.176935	+	0.544550i
$135$	2.22820	+	0.187439i	0.191773	+	0.0161321i
$136$	1.70750	+	5.25514i	0.146417	+	0.450624i
$137$	−1.87796	−	0.610187i	−0.160445	−	0.0521318i	0.227693	−	0.973733i	$-0.426882\pi$
$137$	−1.87796	−	0.610187i	−0.160445	−	0.0521318i	−0.388138	+	0.921601i	$0.626882\pi$
$138$	−12.8525	−	4.17604i	−1.09408	−	0.355488i
$139$	−0.518869	−	1.59692i	−0.0440099	−	0.135449i	0.926637	−	0.375957i	$-0.122686\pi$
$139$	−0.518869	−	1.59692i	−0.0440099	−	0.135449i	−0.970647	+	0.240508i	$0.922686\pi$
$140$	0.275472	+	1.17526i	0.0232817	+	0.0993279i
$141$	−2.05897	+	6.33687i	−0.173397	+	0.533661i
$142$	−5.21801	+	7.18197i	−0.437885	+	0.602698i
$143$		−	3.17978i		−	0.265907i
$144$	−3.71472	−	2.69890i	−0.309560	−	0.224909i
$145$	−17.1992	+	4.03135i	−1.42831	+	0.334785i
$146$	−8.61070	+	6.25604i	−0.712627	+	0.517754i
$147$	2.79991	+	3.85375i	0.230933	+	0.317852i
$148$	−3.34759	+	1.08770i	−0.275171	+	0.0894083i
$149$	7.38524			0.605023			0.302511	−	0.953146i	$-0.402175\pi$
$149$	7.38524			0.605023			0.302511	+	0.953146i	$0.402175\pi$
$150$	1.12007	+	7.60065i	0.0914534	+	0.620590i
$151$	−4.26137			−0.346785			−0.173393	−	0.984853i	$-0.555473\pi$
$151$	−4.26137			−0.346785			−0.173393	+	0.984853i	$0.555473\pi$
$152$	−13.6781	+	4.44428i	−1.10944	+	0.360479i
$153$	1.28963	+	1.77502i	0.104260	+	0.143502i
$154$	−4.38037	+	3.18253i	−0.352980	+	0.256455i
$155$	−4.28155	−	7.07204i	−0.343902	−	0.568040i
$156$	0.394104	+	0.286334i	0.0315536	+	0.0229250i
$157$		−	16.0573i		−	1.28152i	−0.767743	−	0.640758i	$-0.778620\pi$
$157$		−	16.0573i		−	1.28152i	0.767743	−	0.640758i	$-0.221380\pi$
$158$	−9.63557	+	13.2622i	−0.766565	+	1.05509i
$159$	1.28907	−	3.96736i	0.102230	−	0.314632i
$160$	1.74959	−	4.16039i	0.138317	−	0.328908i
$161$	4.06447	+	12.5092i	0.320325	+	0.985859i
$162$	−1.46134	−	0.474819i	−0.114814	−	0.0373053i
$163$	−21.2026	−	6.88916i	−1.66072	−	0.539600i	−0.679697	−	0.733493i	$-0.737889\pi$
$163$	−21.2026	−	6.88916i	−1.66072	−	0.539600i	−0.981023	+	0.193893i	$0.937889\pi$
$164$	−0.206976	−	0.637008i	−0.0161621	−	0.0497420i
$165$	−4.50710	+	2.72869i	−0.350877	+	0.212428i
$166$	0.106361	−	0.327345i	0.00825520	−	0.0254069i
$167$	3.80062	−	5.23111i	0.294101	−	0.404795i	−0.636240	−	0.771491i	$-0.719511\pi$
$167$	3.80062	−	5.23111i	0.294101	−	0.404795i	0.930341	+	0.366696i	$0.119511\pi$
$168$			3.76631i			0.290577i
$169$	−9.04387	−	6.57075i	−0.695682	−	0.505443i
$170$	−4.92657	+	5.70578i	−0.377851	+	0.437613i
$171$	−4.62004	+	3.35666i	−0.353303	+	0.256690i
$172$	−1.70139	−	2.34176i	−0.129730	−	0.178558i
$173$	11.2396	−	3.65198i	0.854533	−	0.277655i	0.151190	−	0.988505i	$-0.451690\pi$
$173$	11.2396	−	3.65198i	0.854533	−	0.277655i	0.703344	+	0.710850i	$0.251690\pi$
$174$	12.1390			0.920254
$175$	5.34400	−	5.23014i	0.403969	−	0.395361i
$176$	10.8191			0.815520
$177$	−10.5231	+	3.41917i	−0.790966	+	0.257000i
$178$	−0.387606	−	0.533494i	−0.0290523	−	0.0399871i
$179$	12.6001	−	9.15450i	0.941775	−	0.684240i	−0.00707213	−	0.999975i	$-0.502251\pi$
$179$	12.6001	−	9.15450i	0.941775	−	0.684240i	0.948847	+	0.315735i	$0.102251\pi$
$180$	0.0676609	−	0.804327i	0.00504315	−	0.0599510i
$181$	11.7952	+	8.56974i	0.876733	+	0.636984i	0.932385	−	0.361466i	$-0.117724\pi$
$181$	11.7952	+	8.56974i	0.876733	+	0.636984i	−0.0556522	+	0.998450i	$0.517724\pi$
$182$		−	3.10103i		−	0.229864i
$183$	7.19286	−	9.90012i	0.531711	−	0.731838i
$184$	6.84463	−	21.0656i	0.504593	−	1.55298i
$185$	16.5033	+	14.2495i	1.21335	+	1.04764i
$186$	1.75549	+	5.40283i	0.128719	+	0.396155i
$187$	−4.91672	−	1.59754i	−0.359546	−	0.116824i
$188$	2.28746	+	0.743241i	0.166830	+	0.0542064i
$189$	0.462134	+	1.42230i	0.0336153	+	0.103457i
$190$	−14.8510	−	12.8229i	−1.07741	−	0.930271i
$191$	−6.48577	+	19.9611i	−0.469294	+	1.44434i	0.384207	+	0.923247i	$0.374475\pi$
$191$	−6.48577	+	19.9611i	−0.469294	+	1.44434i	−0.853501	+	0.521091i	$0.825525\pi$
$192$	3.57486	−	4.92037i	0.257993	−	0.355097i
$193$			22.7094i			1.63466i	0.576173	+	0.817328i	$0.304546\pi$
$193$			22.7094i			1.63466i	−0.576173	+	0.817328i	$0.695454\pi$
$194$	15.5319	+	11.2846i	1.11512	+	0.810185i
$195$	0.252949	−	3.00697i	0.0181141	−	0.215333i
$196$	1.39111	−	1.01070i	0.0993651	−	0.0721930i
$197$	0.795517	+	1.09494i	0.0566782	+	0.0780109i	0.836415	−	0.548096i	$-0.184647\pi$
$197$	0.795517	+	1.09494i	0.0566782	+	0.0780109i	−0.779737	+	0.626107i	$0.784647\pi$
$198$	3.44330	−	1.11879i	0.244704	−	0.0795093i
$199$	8.96061			0.635201			0.317600	−	0.948225i	$-0.397123\pi$
$199$	8.96061			0.635201			0.317600	+	0.948225i	$0.397123\pi$
$200$	−12.4576	+	1.83582i	−0.880888	+	0.129812i
$201$	−4.31358			−0.304257
$202$	11.9796	−	3.89241i	0.842882	−	0.273869i
$203$	−6.94449	−	9.55827i	−0.487408	−	0.670859i
$204$	0.640742	−	0.465526i	0.0448609	−	0.0325933i
$205$	−2.71151	+	3.14038i	−0.189380	+	0.219334i
$206$	−3.10780	−	2.25795i	−0.216530	−	0.157319i
$207$		−	8.79501i		−	0.611295i
$208$	−3.64219	+	5.01304i	−0.252540	+	0.347592i
$209$	4.15808	−	12.7973i	0.287621	−	0.885205i
$210$	−4.39548	+	2.66111i	−0.303317	+	0.183634i
$211$	1.80461	+	5.55401i	0.124234	+	0.382354i	0.993761	−	0.111532i	$-0.0355759\pi$
$211$	1.80461	+	5.55401i	0.124234	+	0.382354i	−0.869527	+	0.493886i	$0.835576\pi$
$212$	−1.43212	−	0.465325i	−0.0983586	−	0.0319586i
$213$	−5.49473	−	1.78535i	−0.376493	−	0.122330i
$214$	0.859440	+	2.64508i	0.0587501	+	0.180814i
$215$	−6.95077	+	16.5284i	−0.474039	+	1.12723i
$216$	0.778240	−	2.39518i	0.0529525	−	0.162971i
$217$	3.24993	−	4.47314i	0.220619	−	0.303656i
$218$		−	4.52939i		−	0.306769i
$219$	−5.60393	−	4.07149i	−0.378678	−	0.275126i
$220$	0.984992	+	1.62696i	0.0664081	+	0.109689i
$221$	2.39541	−	1.74036i	0.161132	−	0.117070i
$222$	−8.80668	−	12.1214i	−0.591066	−	0.813532i
$223$	7.43818	−	2.41681i	0.498098	−	0.161842i	−0.0491848	−	0.998790i	$-0.515662\pi$
$223$	7.43818	−	2.41681i	0.498098	−	0.161842i	0.547283	+	0.836948i	$0.315662\pi$
$224$	3.01853			0.201684
$225$	−4.47922	+	2.22185i	−0.298614	+	0.148123i
$226$	21.2604			1.41422
$227$	15.5107	−	5.03975i	1.02948	−	0.334500i	0.254898	−	0.966968i	$-0.417958\pi$
$227$	15.5107	−	5.03975i	1.02948	−	0.334500i	0.774586	+	0.632468i	$0.217958\pi$
$228$	1.21167	+	1.66773i	0.0802451	+	0.110448i
$229$	−17.5628	+	12.7601i	−1.16058	+	0.843211i	−0.989851	−	0.142107i	$-0.954612\pi$
$229$	−17.5628	+	12.7601i	−1.16058	+	0.843211i	−0.170729	+	0.985318i	$0.554612\pi$
$230$	29.4207	−	6.89598i	1.93995	−	0.454708i
$231$	−2.85079	−	2.07122i	−0.187568	−	0.136276i
$232$			19.8961i			1.30624i
$233$	−7.95512	+	10.9493i	−0.521157	+	0.717312i	−0.985751	−	0.168213i	$-0.946201\pi$
$233$	−7.95512	+	10.9493i	−0.521157	+	0.717312i	0.464593	+	0.885524i	$0.346201\pi$
$234$	−0.640771	+	1.97209i	−0.0418885	+	0.128920i
$235$	−3.40003	−	14.5057i	−0.221793	−	0.946249i
$236$	1.23424	+	3.79860i	0.0803421	+	0.247268i
$237$	−10.1466	−	3.29682i	−0.659090	−	0.214151i
$238$	−4.79495	−	1.55797i	−0.310810	−	0.100988i
$239$	3.25514	+	10.0183i	0.210557	+	0.648028i	0.999439	+	0.0334838i	$0.0106602\pi$
$239$	3.25514	+	10.0183i	0.210557	+	0.648028i	−0.788882	+	0.614545i	$0.789340\pi$
$240$	10.2311	+	0.860652i	0.660415	+	0.0555548i
$241$	6.02082	−	18.5302i	0.387835	−	1.19363i	−0.546567	−	0.837415i	$-0.684066\pi$
$241$	6.02082	−	18.5302i	0.387835	−	1.19363i	0.934403	−	0.356219i	$-0.115934\pi$
$242$	4.92047	−	6.77244i	0.316300	−	0.435349i
$243$		−	1.00000i		−	0.0641500i
$244$	−3.57371	−	2.59645i	−0.228783	−	0.166221i
$245$	−9.81861	−	4.12907i	−0.627288	−	0.263797i
$246$	2.30655	−	1.67581i	0.147060	−	0.106846i
$247$	4.52983	+	6.23478i	0.288226	+	0.396709i
$248$	−8.85537	+	2.87728i	−0.562317	+	0.182708i
$249$	0.224003			0.0141956
$250$	−10.9445	−	13.2416i	−0.692192	−	0.837472i
$251$	−20.9446			−1.32201			−0.661007	−	0.750380i	$-0.729871\pi$
$251$	−20.9446			−1.32201			−0.661007	+	0.750380i	$0.729871\pi$
$252$	0.513417	−	0.166819i	0.0323422	−	0.0105086i
$253$	12.1808	+	16.7655i	0.765803	+	1.05404i
$254$	7.13529	−	5.18409i	0.447708	−	0.325279i
$255$	−4.52242	−	1.90184i	−0.283205	−	0.119098i
$256$	−6.79428	−	4.93633i	−0.424643	−	0.308521i
$257$			1.67121i			0.104247i	0.998641	+	0.0521237i	$0.0165990\pi$
$257$			1.67121i			0.104247i	−0.998641	+	0.0521237i	$0.983401\pi$
$258$	7.24220	−	9.96804i	0.450880	−	0.620583i
$259$	−4.50625	+	13.8688i	−0.280005	+	0.861766i
$260$	−1.08544	−	0.0913088i	−0.0673164	−	0.00566273i
$261$	2.44129	+	7.51351i	0.151112	+	0.465074i
$262$	6.36789	+	2.06905i	0.393409	+	0.127826i
$263$	7.18682	+	2.33514i	0.443158	+	0.143991i	0.522092	−	0.852889i	$-0.325152\pi$
$263$	7.18682	+	2.33514i	0.443158	+	0.143991i	−0.0789341	+	0.996880i	$0.525152\pi$
$264$	1.83373	+	5.64364i	0.112858	+	0.347342i
$265$	2.12867	+	9.08168i	0.130763	+	0.557883i
$266$	4.05510	−	12.4803i	0.248634	−	0.765218i
$267$	0.252258	−	0.347203i	0.0154379	−	0.0212485i
$268$			1.55710i			0.0951151i
$269$	−9.12904	−	6.63264i	−0.556608	−	0.404399i	0.273608	−	0.961841i	$-0.411783\pi$
$269$	−9.12904	−	6.63264i	−0.556608	−	0.404399i	−0.830216	+	0.557442i	$0.811783\pi$
$270$	3.34516	−	0.784079i	0.203580	−	0.0477175i
$271$	8.87912	−	6.45106i	0.539368	−	0.391874i	−0.284482	−	0.958681i	$-0.591822\pi$
$271$	8.87912	−	6.45106i	0.539368	−	0.391874i	0.823850	+	0.566808i	$0.191822\pi$
$272$	5.92153	+	8.15029i	0.359045	+	0.494184i
$273$	1.91940	−	0.623652i	0.116168	−	0.0377452i
$274$	−3.03407			−0.183295
$275$	5.46130	−	10.4390i	0.329329	−	0.629495i
$276$	−3.17479			−0.191100
$277$	−5.46964	+	1.77719i	−0.328639	+	0.106781i	−0.468689	−	0.883363i	$-0.655274\pi$
$277$	−5.46964	+	1.77719i	−0.328639	+	0.106781i	0.140050	+	0.990144i	$0.455274\pi$
$278$	−1.51649	−	2.08727i	−0.0909531	−	0.125186i
$279$	−2.99107	+	2.17314i	−0.179071	+	0.130103i
$280$	−4.36162	−	7.20429i	−0.260657	−	0.430539i
$281$	−6.87633	−	4.99595i	−0.410208	−	0.298033i	0.363478	−	0.931603i	$-0.381589\pi$
$281$	−6.87633	−	4.99595i	−0.410208	−	0.298033i	−0.773686	+	0.633569i	$0.781589\pi$
$282$			10.2380i			0.609663i
$283$	−10.1245	+	13.9352i	−0.601839	+	0.828360i	−0.995875	−	0.0907350i	$-0.971078\pi$
$283$	−10.1245	+	13.9352i	−0.601839	+	0.828360i	0.394036	+	0.919095i	$0.371078\pi$
$284$	−0.644468	+	1.98347i	−0.0382421	+	0.117697i
$285$	4.95011	−	11.7710i	0.293219	−	0.697253i
$286$	−1.50982	−	4.64675i	−0.0892776	−	0.274768i
$287$	−2.63907	−	0.857487i	−0.155780	−	0.0506158i
$288$	−1.91962	−	0.623723i	−0.113115	−	0.0367532i
$289$	3.76573	+	11.5897i	0.221513	+	0.681748i
$290$	−23.2197	+	14.0577i	−1.36351	+	0.825496i
$291$	−3.86103	+	11.8830i	−0.226337	+	0.696595i
$292$	−1.46971	+	2.02289i	−0.0860084	+	0.118380i
$293$			9.38764i			0.548432i	0.961668	+	0.274216i	$0.0884183\pi$
$293$			9.38764i			0.548432i	−0.961668	+	0.274216i	$0.911582\pi$
$294$	5.92146	+	4.30219i	0.345347	+	0.250909i
$295$	16.1693	−	18.7267i	0.941411	−	1.09031i
$296$	19.8672	−	14.4344i	1.15476	−	0.838980i
$297$	1.38497	+	1.90625i	0.0803642	+	0.110612i
$298$	10.7924	−	3.50665i	0.625185	−	0.203135i
$299$	−11.8689			−0.686397
$300$	0.802036	+	1.61689i	0.0463056	+	0.0933513i
$301$	−11.9920			−0.691207
$302$	−6.22732	+	2.02338i	−0.358342	+	0.116432i
$303$	4.81847	+	6.63205i	0.276814	+	0.381001i
$304$	−21.2136	+	15.4126i	−1.21668	+	0.883973i
$305$	−2.29373	+	27.2670i	−0.131338	+	1.56130i
$306$	2.72741	+	1.98158i	0.155916	+	0.113279i
$307$		−	10.6465i		−	0.607627i	−0.952731	−	0.303814i	$-0.901740\pi$
$307$		−	10.6465i		−	0.607627i	0.952731	−	0.303814i	$-0.0982600\pi$
$308$	−0.747662	+	1.02907i	−0.0426020	+	0.0586366i
$309$	0.772559	−	2.37769i	0.0439493	−	0.135262i
$310$	−9.61475	−	8.30171i	−0.546081	−	0.471505i
$311$	−8.45383	−	26.0182i	−0.479373	−	1.47536i	−0.839969	−	0.542635i	$-0.817427\pi$
$311$	−8.45383	−	26.0182i	−0.479373	−	1.47536i	0.360596	−	0.932722i	$-0.382573\pi$
$312$	−3.23230	−	1.05024i	−0.182993	−	0.0594581i
$313$	−1.89744	−	0.616517i	−0.107250	−	0.0348476i	0.254900	−	0.966967i	$-0.417957\pi$
$313$	−1.89744	−	0.616517i	−0.107250	−	0.0348476i	−0.362150	+	0.932120i	$0.617957\pi$
$314$	−7.62433	−	23.4653i	−0.430266	−	1.32422i
$315$	−2.53109	−	2.18543i	−0.142611	−	0.123135i
$316$	−1.19007	+	3.66267i	−0.0669469	+	0.206041i
$317$	−5.08361	+	6.99699i	−0.285524	+	0.392990i	−0.927554	−	0.373690i	$-0.878093\pi$
$317$	−5.08361	+	6.99699i	−0.285524	+	0.392990i	0.642030	+	0.766680i	$0.278093\pi$
$318$		−	6.40975i		−	0.359441i
$319$	−15.0597	−	10.9415i	−0.843182	−	0.612607i
$320$	−1.13999	+	13.5517i	−0.0637271	+	0.757564i
$321$	−1.46435	+	1.06391i	−0.0817321	+	0.0593818i
$322$	11.8792	+	16.3503i	0.662000	+	0.911165i
$323$	11.9163	−	3.87184i	0.663040	−	0.215435i
$324$	−0.360976			−0.0200542
$325$	2.99840	+	6.04473i	0.166322	+	0.335301i
$326$	−34.2554			−1.89723
$327$	2.80350	−	0.910913i	0.155034	−	0.0503736i
$328$	2.74669	+	3.78049i	0.151661	+	0.208743i
$329$	8.06141	−	5.85696i	0.444440	−	0.322905i
$330$	−5.29079	+	6.12761i	−0.291248	+	0.337314i
$331$	3.19020	+	2.31782i	0.175349	+	0.127399i	0.671998	−	0.740553i	$-0.265436\pi$
$331$	3.19020	+	2.31782i	0.175349	+	0.127399i	−0.496649	+	0.867952i	$0.665436\pi$
$332$		−	0.0808598i		−	0.00443776i
$333$	5.73148	−	7.88870i	0.314083	−	0.432298i
$334$	3.07018	−	9.44905i	0.167993	−	0.517029i
$335$	8.25113	−	4.99539i	0.450807	−	0.272927i
$336$	2.12196	+	6.53071i	0.115762	+	0.356279i
$337$	−3.76115	−	1.22207i	−0.204883	−	0.0665706i	0.204778	−	0.978809i	$-0.434353\pi$
$337$	−3.76115	−	1.22207i	−0.204883	−	0.0665706i	−0.409661	+	0.912238i	$0.634353\pi$
$338$	−16.3361	−	5.30792i	−0.888567	−	0.288713i
$339$	4.27571	+	13.1593i	0.232224	+	0.714713i
$340$	−0.686518	+	1.63249i	−0.0372317	+	0.0885341i
$341$	2.69199	−	8.28511i	0.145780	−	0.448664i
$342$	−5.15766	+	7.09891i	−0.278894	+	0.383865i
$343$		−	17.5923i		−	0.949893i
$344$	16.3379	+	11.8701i	0.880878	+	0.639995i
$345$	10.1852	+	16.8233i	0.548350	+	0.905736i
$346$	14.6909	−	10.6736i	0.789789	−	0.573815i
$347$	−5.87548	−	8.08690i	−0.315412	−	0.434127i	0.621647	−	0.783297i	$-0.286464\pi$
$347$	−5.87548	−	8.08690i	−0.315412	−	0.434127i	−0.937060	+	0.349170i	$0.886464\pi$
$348$	2.71220	−	0.881247i	0.145389	−	0.0472398i
$349$	−18.4534			−0.987789			−0.493895	−	0.869522i	$-0.664427\pi$
$349$	−18.4534			−0.987789			−0.493895	+	0.869522i	$0.664427\pi$
$350$	5.32605	−	10.1805i	0.284689	−	0.544169i
$351$	−1.34951			−0.0720313
$352$	4.52312	−	1.46965i	0.241083	−	0.0783327i
$353$	−5.48050	−	7.54326i	−0.291697	−	0.401487i	0.637867	−	0.770146i	$-0.279817\pi$
$353$	−5.48050	−	7.54326i	−0.291697	−	0.401487i	−0.929565	+	0.368659i	$0.879817\pi$
$354$	−13.7544	+	9.99316i	−0.731038	+	0.531130i
$355$	12.5780	−	2.94818i	0.667571	−	0.156473i
$356$	−0.125332	−	0.0910592i	−0.00664260	−	0.00482613i
$357$		−	3.28119i		−	0.173659i
$358$	14.0663	−	19.3606i	0.743428	−	1.02324i
$359$	−8.94412	+	27.5272i	−0.472052	+	1.45283i	0.377839	+	0.925871i	$0.376667\pi$
$359$	−8.94412	+	27.5272i	−0.472052	+	1.45283i	−0.849892	+	0.526957i	$0.823333\pi$
$360$	1.28512	+	5.48280i	0.0677320	+	0.288969i
$361$	4.20632	+	12.9457i	0.221385	+	0.681354i
$362$	21.3060	+	6.92273i	1.11982	+	0.363850i
$363$	5.18141	+	1.68354i	0.271954	+	0.0883631i
$364$	−0.225124	−	0.692860i	−0.0117997	−	0.0363157i
$365$	15.4344	+	1.29836i	0.807872	+	0.0679591i
$366$	5.81047	−	17.8828i	0.303718	−	0.934748i
$367$	2.35037	−	3.23501i	0.122688	−	0.168866i	−0.743255	−	0.669008i	$-0.766719\pi$
$367$	2.35037	−	3.23501i	0.122688	−	0.168866i	0.865943	+	0.500142i	$0.166719\pi$
$368$		−	40.3836i		−	2.10514i
$369$	1.50113	+	1.09063i	0.0781456	+	0.0567761i
$370$	30.8829	+	12.9873i	1.60553	+	0.675180i
$371$	−5.04705	+	3.66690i	−0.262030	+	0.190376i
$372$	0.784453	+	1.07971i	0.0406720	+	0.0559802i
$373$	3.01732	−	0.980386i	0.156231	−	0.0507625i	−0.229857	−	0.973224i	$-0.573826\pi$
$373$	3.01732	−	0.980386i	0.156231	−	0.0507625i	0.386088	+	0.922462i	$0.373826\pi$
$374$	−7.94355			−0.410751
$375$	5.99491	−	9.43722i	0.309576	−	0.487336i
$376$	−16.7803			−0.865377
$377$	10.1395	−	3.29453i	0.522212	−	0.169677i
$378$	1.35067	+	1.85904i	0.0694711	+	0.0956187i
$379$	23.0736	−	16.7640i	1.18521	−	0.861107i	0.192462	−	0.981304i	$-0.438353\pi$
$379$	23.0736	−	16.7640i	1.18521	−	0.861107i	0.992750	+	0.120198i	$0.0383528\pi$
$380$	−4.24905	−	1.78687i	−0.217972	−	0.0916647i
$381$	4.64372	+	3.37386i	0.237905	+	0.172848i
$382$			32.2497i			1.65004i
$383$	−6.73667	+	9.27224i	−0.344228	+	0.473789i	−0.945670	−	0.325127i	$-0.894593\pi$
$383$	−6.73667	+	9.27224i	−0.344228	+	0.473789i	0.601442	+	0.798916i	$0.294593\pi$
$384$	4.13526	−	12.7270i	0.211026	−	0.649472i
$385$	7.85166	+	0.660490i	0.400158	+	0.0336617i
$386$	10.7828	+	33.1862i	0.548832	+	1.68913i
$387$	7.62628	+	2.47793i	0.387665	+	0.125960i
$388$	4.28949	+	1.39374i	0.217766	+	0.0707564i
$389$	−10.5827	−	32.5702i	−0.536564	−	1.65137i	−0.740245	−	0.672337i	$-0.765291\pi$
$389$	−10.5827	−	32.5702i	−0.536564	−	1.65137i	0.203681	−	0.979037i	$-0.434709\pi$
$390$	−1.05812	−	4.51432i	−0.0535800	−	0.228591i
$391$	−5.96301	+	18.3522i	−0.301562	+	0.928113i
$392$	−7.05140	+	9.70541i	−0.356149	+	0.490197i
$393$			4.35756i			0.219810i
$394$	1.68242	+	1.22235i	0.0847591	+	0.0615811i
$395$	23.2265	−	5.44411i	1.16865	−	0.273923i
$396$	0.688111	−	0.499942i	0.0345789	−	0.0251230i
$397$	−11.7753	−	16.2073i	−0.590986	−	0.813422i	0.403860	−	0.914821i	$-0.367668\pi$
$397$	−11.7753	−	16.2073i	−0.590986	−	0.813422i	−0.994846	+	0.101399i	$0.967668\pi$
$398$	13.0945	−	4.25467i	0.656369	−	0.213267i
$399$	8.54031			0.427550
$400$	−20.5670	+	10.2020i	−1.02835	+	0.510098i
$401$	4.98200			0.248789			0.124395	−	0.992233i	$-0.460301\pi$
$401$	4.98200			0.248789			0.124395	+	0.992233i	$0.460301\pi$
$402$	−6.30363	+	2.04817i	−0.314396	+	0.102154i
$403$	2.93267	+	4.03647i	0.146087	+	0.201071i
$404$	2.39401	−	1.73935i	0.119107	−	0.0865361i
$405$	1.15806	+	1.91282i	0.0575445	+	0.0950490i
$406$	−14.6867	−	10.6705i	−0.728890	−	0.529570i
$407$			22.9758i			1.13887i
$408$	−3.24785	+	4.47029i	−0.160793	+	0.221312i
$409$	−7.37286	+	22.6913i	−0.364565	+	1.12201i	0.585689	+	0.810536i	$0.300824\pi$
$409$	−7.37286	+	22.6913i	−0.364565	+	1.12201i	−0.950253	+	0.311478i	$0.899176\pi$
$410$	−2.47134	+	5.87665i	−0.122051	+	0.290227i
$411$	−0.610187	−	1.87796i	−0.0300983	−	0.0926330i
$412$	−0.858290	−	0.278875i	−0.0422849	−	0.0137392i
$413$	15.7373	+	5.11335i	0.774381	+	0.251612i
$414$	−4.17604	−	12.8525i	−0.205241	−	0.631667i
$415$	−0.428478	+	0.259409i	−0.0210332	+	0.0127339i
$416$	−0.841718	+	2.59054i	−0.0412686	+	0.127012i
$417$	0.986948	−	1.35842i	0.0483311	−	0.0665220i
$418$		−	20.6755i		−	1.01127i
$419$	0.390391	+	0.283636i	0.0190719	+	0.0138565i	0.597280	−	0.802033i	$-0.296248\pi$
$419$	0.390391	+	0.283636i	0.0190719	+	0.0138565i	−0.578208	+	0.815889i	$0.696248\pi$
$420$	−0.788890	+	0.913664i	−0.0384939	+	0.0445823i
$421$	14.3344	−	10.4146i	0.698616	−	0.507575i	−0.180865	−	0.983508i	$-0.557890\pi$
$421$	14.3344	−	10.4146i	0.698616	−	0.507575i	0.879481	+	0.475933i	$0.157890\pi$
$422$	5.27430	+	7.25945i	0.256749	+	0.353385i
$423$	−6.33687	+	2.05897i	−0.308109	+	0.100111i
$424$	10.5057			0.510203
$425$	10.8530	−	1.59936i	0.526450	−	0.0775804i
$426$	−8.87740			−0.430112
$427$	−17.4050	+	5.65523i	−0.842288	+	0.273676i
$428$	0.384047	+	0.528596i	0.0185636	+	0.0255506i
$429$	2.57250	−	1.86903i	0.124201	−	0.0902375i
$430$	−2.30946	+	27.4540i	−0.111372	+	1.32395i
$431$	−21.6866	−	15.7562i	−1.04461	−	0.758952i	−0.0734279	−	0.997301i	$-0.523394\pi$
$431$	−21.6866	−	15.7562i	−1.04461	−	0.758952i	−0.971180	+	0.238349i	$0.923394\pi$
$432$		−	4.59165i		−	0.220916i
$433$	−5.42593	+	7.46816i	−0.260754	+	0.358897i	−0.919241	−	0.393695i	$-0.871197\pi$
$433$	−5.42593	+	7.46816i	−0.260754	+	0.358897i	0.658487	+	0.752592i	$0.271197\pi$
$434$	2.62532	−	8.07992i	0.126020	−	0.387848i
$435$	−13.3709	−	11.5449i	−0.641083	−	0.553534i
$436$	−0.328818	−	1.01200i	−0.0157475	−	0.0484659i
$437$	−47.7673	−	15.5205i	−2.28502	−	0.742448i
$438$	−10.1225	−	3.28899i	−0.483671	−	0.157154i
$439$	−0.309760	−	0.953343i	−0.0147840	−	0.0455006i	0.943392	−	0.331679i	$-0.107615\pi$
$439$	−0.309760	−	0.953343i	−0.0147840	−	0.0455006i	−0.958176	+	0.286178i	$0.907615\pi$
$440$	−10.0433	−	8.67173i	−0.478795	−	0.413408i
$441$	−1.47200	+	4.53035i	−0.0700952	+	0.215731i
$442$	2.67415	−	3.68065i	0.127196	−	0.175071i
$443$		−	26.2872i		−	1.24894i	−0.781048	−	0.624471i	$-0.785315\pi$
$443$		−	26.2872i		−	1.24894i	0.781048	−	0.624471i	$-0.214685\pi$
$444$	−2.84763	−	2.06893i	−0.135143	−	0.0981869i
$445$	−0.0804425	+	0.956269i	−0.00381334	+	0.0453315i
$446$	9.72219	−	7.06358i	0.460359	−	0.334470i
$447$	4.34094	+	5.97479i	0.205319	+	0.282598i
$448$	−8.65032	+	2.81066i	−0.408689	+	0.132791i
$449$	−4.75449			−0.224378			−0.112189	−	0.993687i	$-0.535786\pi$
$449$	−4.75449			−0.224378			−0.112189	+	0.993687i	$0.535786\pi$
$450$	−5.49069	+	5.37371i	−0.258834	+	0.253319i
$451$	−4.37202			−0.205870
$452$	4.75019	−	1.54343i	0.223430	−	0.0725968i
$453$	−2.50477	−	3.44752i	−0.117684	−	0.161979i
$454$	20.2736	−	14.7296i	0.951485	−	0.691294i
$455$	−2.94926	+	3.41572i	−0.138263	+	0.160132i
$456$	−11.6353	−	8.45353i	−0.544872	−	0.395873i
$457$		−	15.9703i		−	0.747059i	−0.927618	−	0.373529i	$-0.878148\pi$
$457$		−	15.9703i		−	0.747059i	0.927618	−	0.373529i	$-0.121852\pi$
$458$	−19.6065	+	26.9860i	−0.916151	+	1.26097i
$459$	−0.677999	+	2.08667i	−0.0316463	+	0.0973972i
$460$	6.07282	−	3.67660i	0.283146	−	0.171422i
$461$	12.2852	+	37.8100i	0.572180	+	1.76099i	0.645588	+	0.763686i	$0.276613\pi$
$461$	12.2852	+	37.8100i	0.572180	+	1.76099i	−0.0734077	+	0.997302i	$0.523387\pi$
$462$	−5.14944	−	1.67315i	−0.239573	−	0.0778421i
$463$	−24.8425	−	8.07181i	−1.15453	−	0.375129i	−0.331681	−	0.943392i	$-0.607616\pi$
$463$	−24.8425	−	8.07181i	−1.15453	−	0.375129i	−0.822847	+	0.568263i	$0.807616\pi$
$464$	11.2095	+	34.4994i	0.520389	+	1.60159i
$465$	3.20477	−	7.62068i	0.148617	−	0.353401i
$466$	−6.42623	+	19.7779i	−0.297689	+	0.916194i
$467$	−2.26417	+	3.11637i	−0.104773	+	0.144208i	−0.858184	−	0.513342i	$-0.828407\pi$
$467$	−2.26417	+	3.11637i	−0.104773	+	0.144208i	0.753411	+	0.657550i	$0.228407\pi$
$468$			0.487140i			0.0225181i
$469$	5.21893	+	3.79177i	0.240988	+	0.175088i
$470$	−11.8562	−	19.5834i	−0.546886	−	0.903317i
$471$	12.9907	−	9.43827i	0.598578	−	0.434893i
$472$	−16.3790	−	22.5438i	−0.753906	−	1.03766i
$473$	−17.9695	+	5.83863i	−0.826236	+	0.268460i
$474$	−16.3930			−0.752956
$475$	4.16283	+	28.2484i	0.191004	+	1.29612i
$476$	−1.18443			−0.0542884
$477$	3.96736	−	1.28907i	0.181653	−	0.0590226i
$478$	9.51374	+	13.0945i	0.435148	+	0.598930i
$479$	−11.5445	+	8.38758i	−0.527483	+	0.383239i	−0.819415	−	0.573200i	$-0.805702\pi$
$479$	−11.5445	+	8.38758i	−0.527483	+	0.383239i	0.291933	+	0.956439i	$0.405702\pi$
$480$	4.39421	−	1.02997i	0.200567	−	0.0470114i
$481$	−10.6458	−	7.73466i	−0.485409	−	0.352670i
$482$		−	29.9377i		−	1.36363i
$483$	−7.73108	+	10.6409i	−0.351776	+	0.484179i
$484$	0.607720	−	1.87037i	0.0276236	−	0.0850167i
$485$	−6.37580	−	27.2014i	−0.289510	−	1.23515i
$486$	−0.474819	−	1.46134i	−0.0215382	−	0.0662879i
$487$	23.6073	+	7.67049i	1.06975	+	0.347583i	0.790390	−	0.612604i	$-0.209878\pi$
$487$	23.6073	+	7.67049i	1.06975	+	0.347583i	0.279360	+	0.960186i	$0.409878\pi$
$488$	29.3103	+	9.52349i	1.32681	+	0.431108i
$489$	−6.88916	−	21.2026i	−0.311538	−	0.958817i
$490$	−16.3089	−	1.37192i	−0.736762	−	0.0619772i
$491$	3.55040	−	10.9270i	0.160227	−	0.493129i	−0.838426	−	0.545016i	$-0.816524\pi$
$491$	3.55040	−	10.9270i	0.160227	−	0.493129i	0.998653	+	0.0518868i	$0.0165235\pi$
$492$	0.393693	−	0.541871i	0.0177490	−	0.0244295i
$493$		−	17.3334i		−	0.780656i
$494$	9.58003	+	6.96030i	0.431026	+	0.313159i
$495$	−4.85676	−	2.04244i	−0.218295	−	0.0918008i
$496$	−13.7340	+	9.97831i	−0.616673	+	0.448039i
$497$	5.07860	+	6.99010i	0.227806	+	0.313549i
$498$	0.327345	−	0.106361i	0.0146687	−	0.00476614i
$499$	4.17487			0.186893			0.0934465	−	0.995624i	$-0.470212\pi$
$499$	4.17487			0.186893			0.0934465	+	0.995624i	$0.470212\pi$
$500$	−3.40661	−	2.16402i	−0.152348	−	0.0967779i
$501$	6.46601			0.288880
$502$	−30.6073	+	9.94491i	−1.36607	+	0.443863i
$503$	22.7569	+	31.3221i	1.01468	+	1.39658i	0.915869	+	0.401478i	$0.131503\pi$
$503$	22.7569	+	31.3221i	1.01468	+	1.39658i	0.0988094	+	0.995106i	$0.468497\pi$
$504$	−3.04701	+	2.21378i	−0.135725	+	0.0986097i
$505$	−16.8972	−	7.10587i	−0.751916	−	0.316207i
$506$	25.7610	+	18.7164i	1.14521	+	0.832047i
$507$		−	11.1788i		−	0.496469i
$508$	1.21788	−	1.67627i	0.0540349	−	0.0743726i
$509$	−9.32603	+	28.7026i	−0.413369	+	1.27222i	0.500333	+	0.865833i	$0.333211\pi$
$509$	−9.32603	+	28.7026i	−0.413369	+	1.27222i	−0.913702	+	0.406385i	$0.866789\pi$
$510$	−7.51184	−	0.631904i	−0.332630	−	0.0279812i
$511$	3.20112	+	9.85205i	0.141609	+	0.435829i
$512$	13.1814	+	4.28289i	0.582540	+	0.189279i
$513$	−5.43119	−	1.76470i	−0.239793	−	0.0779134i
$514$	0.793523	+	2.44221i	0.0350008	+	0.107721i
$515$	1.27574	+	5.44277i	0.0562159	+	0.239837i
$516$	0.894473	−	2.75291i	0.0393770	−	0.121190i
$517$	9.22804	−	12.7013i	0.405849	−	0.558603i
$518$			22.4067i			0.984496i
$519$	9.56100	+	6.94647i	0.419681	+	0.304916i
$520$	7.39907	−	1.73428i	0.324471	−	0.0760533i
$521$	20.6183	−	14.9801i	0.903304	−	0.656288i	−0.0360088	−	0.999351i	$-0.511464\pi$
$521$	20.6183	−	14.9801i	0.903304	−	0.656288i	0.939312	+	0.343063i	$0.111464\pi$
$522$	7.13511	+	9.82064i	0.312295	+	0.429838i
$523$	−3.70132	+	1.20263i	−0.161847	+	0.0525874i	−0.388820	−	0.921314i	$-0.627117\pi$
$523$	−3.70132	+	1.20263i	−0.161847	+	0.0525874i	0.226973	+	0.973901i	$0.427117\pi$
$524$	1.57298			0.0687158
$525$	7.37240	+	1.24919i	0.321758	+	0.0545191i
$526$	11.6112			0.506271
$527$	7.71476	−	2.50668i	0.336060	−	0.109193i
$528$	6.35931	+	8.75283i	0.276753	+	0.380918i
$529$	43.9719	−	31.9474i	1.91182	−	1.38902i
$530$	7.42288	+	12.2607i	0.322429	+	0.532571i
$531$	−8.95150	−	6.50365i	−0.388462	−	0.282234i
$532$		−	3.08285i		−	0.133659i
$533$	1.47182	−	2.02578i	0.0637514	−	0.0877463i
$534$	0.203777	−	0.627160i	0.00881828	−	0.0271399i
$535$	1.56897	−	3.73088i	0.0678324	−	0.161300i
$536$	−3.35700	−	10.3318i	−0.145000	−	0.446265i
$537$	14.8123	+	4.81281i	0.639198	+	0.207688i
$538$	−16.4900	−	5.35792i	−0.710933	−	0.230996i
$539$	−3.46841	−	10.6747i	−0.149395	−	0.459790i
$540$	0.690484	−	0.418033i	0.0297137	−	0.0179893i
$541$	12.4270	−	38.2465i	0.534280	−	1.64435i	−0.210919	−	0.977504i	$-0.567646\pi$
$541$	12.4270	−	38.2465i	0.534280	−	1.64435i	0.745199	−	0.666842i	$-0.232354\pi$
$542$	9.91235	−	13.6432i	0.425772	−	0.586025i
$543$			14.5797i			0.625675i
$544$	3.58273	+	2.60300i	0.153608	+	0.111603i
$545$	−4.30771	+	4.98904i	−0.184522	+	0.213707i
$546$	2.50879	−	1.82274i	0.107366	−	0.0780061i
$547$	4.33740	+	5.96992i	0.185454	+	0.255255i	0.891613	−	0.452797i	$-0.149574\pi$
$547$	4.33740	+	5.96992i	0.185454	+	0.255255i	−0.706160	+	0.708053i	$0.749574\pi$
$548$	−0.677900	+	0.220263i	−0.0289584	+	0.00940917i
$549$	12.2372			0.522272
$550$	3.02420	−	17.8481i	0.128952	−	0.761045i
$551$	45.1154			1.92198
$552$	21.0656	−	6.84463i	0.896611	−	0.291327i
$553$	9.37814	+	12.9079i	0.398799	+	0.548900i
$554$	−7.14917	+	5.19418i	−0.303739	+	0.220679i
$555$	−1.82771	+	21.7271i	−0.0775819	+	0.922264i
$556$	−0.490357	−	0.356265i	−0.0207958	−	0.0151090i
$557$		−	1.52499i		−	0.0646160i	−0.999478	−	0.0323080i	$-0.989714\pi$
$557$		−	1.52499i		−	0.0646160i	0.999478	−	0.0323080i	$-0.0102857\pi$
$558$	−3.33913	+	4.59592i	−0.141357	+	0.194561i
$559$	3.34398	−	10.2917i	0.141435	−	0.435293i
$560$	−11.6219	−	10.0347i	−0.491114	−	0.424045i
$561$	−1.59754	−	4.91672i	−0.0674481	−	0.207584i
$562$	−12.4209	−	4.03578i	−0.523942	−	0.170239i
$563$	13.1203	+	4.26305i	0.552955	+	0.179666i	0.572149	−	0.820150i	$-0.306110\pi$
$563$	13.1203	+	4.26305i	0.552955	+	0.179666i	−0.0191938	+	0.999816i	$0.506110\pi$
$564$	0.743241	+	2.28746i	0.0312961	+	0.0963194i
$565$	−23.4179	−	20.2198i	−0.985199	−	0.850655i
$566$	−8.17867	+	25.1714i	−0.343775	+	1.05803i
$567$	−0.879031	+	1.20988i	−0.0369158	+	0.0508103i
$568$		−	14.5503i		−	0.610516i
$569$	−6.87586	−	4.99561i	−0.288251	−	0.209427i	0.434257	−	0.900789i	$-0.357011\pi$
$569$	−6.87586	−	4.99561i	−0.288251	−	0.209427i	−0.722508	+	0.691362i	$0.757011\pi$
$570$	1.64472	−	19.5519i	0.0688899	−	0.818937i
$571$	−31.8130	+	23.1135i	−1.33133	+	0.967269i	−0.331617	+	0.943414i	$0.607594\pi$
$571$	−31.8130	+	23.1135i	−1.33133	+	0.967269i	−0.999715	+	0.0238553i	$0.992406\pi$
$572$	−0.674675	−	0.928611i	−0.0282096	−	0.0388272i
$573$	−19.9611	+	6.48577i	−0.833889	+	0.270947i
$574$	−4.26374			−0.177965
$575$	−38.9648	−	20.3850i	−1.62495	−	0.850112i
$576$	6.08192			0.253413
$577$	23.3800	−	7.59664i	0.973324	−	0.316252i	0.221167	−	0.975236i	$-0.429013\pi$
$577$	23.3800	−	7.59664i	0.973324	−	0.316252i	0.752157	+	0.658984i	$0.229013\pi$
$578$	11.0060	+	15.1485i	0.457791	+	0.630095i
$579$	−18.3723	+	13.3482i	−0.763525	+	0.554734i
$580$	−4.16742	+	4.82656i	−0.173043	+	0.200412i
$581$	−0.271017	−	0.196905i	−0.0112437	−	0.00816901i
$582$			19.1985i			0.795802i
$583$	−5.77745	+	7.95197i	−0.239277	+	0.329337i
$584$	5.39074	−	16.5910i	0.223070	−	0.686540i
$585$	2.58137	−	1.56281i	0.106726	−	0.0646143i
$586$	4.45743	+	13.7186i	0.184135	+	0.566708i
$587$	8.79033	+	2.85615i	0.362816	+	0.117886i	0.484751	−	0.874652i	$-0.338910\pi$
$587$	8.79033	+	2.85615i	0.362816	+	0.117886i	−0.121936	+	0.992538i	$0.538910\pi$
$588$	1.63535	+	0.531357i	0.0674407	+	0.0219128i
$589$	6.52439	+	20.0800i	0.268833	+	0.827383i
$590$	14.7371	−	35.0436i	0.606715	−	1.44272i
$591$	−0.418228	+	1.28717i	−0.0172036	+	0.0529472i
$592$	26.3169	−	36.2221i	1.08162	−	1.48872i
$593$		−	6.07888i		−	0.249630i	−0.992180	−	0.124815i	$-0.960166\pi$
$593$		−	6.07888i		−	0.249630i	0.992180	−	0.124815i	$-0.0398337\pi$
$594$	2.92904	+	2.12807i	0.120180	+	0.0873160i
$595$	3.79982	+	6.27634i	0.155778	+	0.257305i
$596$	2.15676	−	1.56698i	0.0883442	−	0.0641858i
$597$	5.26692	+	7.24929i	0.215560	+	0.296694i
$598$	−17.3446	+	5.63559i	−0.709272	+	0.230456i
$599$	−6.40129			−0.261550			−0.130775	−	0.991412i	$-0.541746\pi$
$599$	−6.40129			−0.261550			−0.130775	+	0.991412i	$0.541746\pi$
$600$	−8.80763	−	8.99937i	−0.359570	−	0.367398i
$601$	−38.4675			−1.56912			−0.784560	−	0.620052i	$-0.787111\pi$
$601$	−38.4675			−1.56912			−0.784560	+	0.620052i	$0.787111\pi$
$602$	−17.5244	+	5.69403i	−0.714242	+	0.232071i
$603$	−2.53546	−	3.48976i	−0.103252	−	0.142114i
$604$	−1.24447	+	0.904162i	−0.0506369	+	0.0367898i
$605$	−11.8608	+	2.78007i	−0.482209	+	0.113026i
$606$	10.1905	+	7.40380i	0.413959	+	0.300759i
$607$		−	5.22464i		−	0.212062i	−0.994363	−	0.106031i	$-0.966186\pi$
$607$		−	5.22464i		−	0.212062i	0.994363	−	0.106031i	$-0.0338142\pi$
$608$	−6.77511	+	9.32514i	−0.274767	+	0.378184i
$609$	3.65093	−	11.2364i	0.147943	−	0.455323i
$610$	9.59495	+	40.9355i	0.388488	+	1.65743i
$611$	2.77860	+	8.55164i	0.112410	+	0.345962i
$612$	0.753237	+	0.244742i	0.0304478	+	0.00989309i
$613$	28.3560	+	9.21343i	1.14529	+	0.372127i	0.819367	−	0.573270i	$-0.194325\pi$
$613$	28.3560	+	9.21343i	1.14529	+	0.372127i	0.325922	+	0.945397i	$0.394325\pi$
$614$	−5.05516	−	15.5582i	−0.204010	−	0.627877i
$615$	−4.13441	−	0.347791i	−0.166716	−	0.0140243i
$616$	2.74234	−	8.44005i	0.110492	−	0.340059i
$617$	−13.6969	+	18.8521i	−0.551415	+	0.758958i	−0.990203	−	0.139633i	$-0.955408\pi$
$617$	−13.6969	+	18.8521i	−0.551415	+	0.758958i	0.438788	+	0.898591i	$0.355408\pi$
$618$		−	3.84145i		−	0.154526i
$619$	−0.191326	−	0.139007i	−0.00769006	−	0.00558715i	0.583934	−	0.811801i	$-0.301513\pi$
$619$	−0.191326	−	0.139007i	−0.00769006	−	0.00558715i	−0.591624	+	0.806214i	$0.701513\pi$
$620$	−2.75089	−	1.15684i	−0.110478	−	0.0464600i
$621$	7.11531	−	5.16958i	0.285528	−	0.207448i
$622$	−24.7079	−	34.0075i	−0.990696	−	1.36358i
$623$	−0.610405	+	0.198333i	−0.0244554	+	0.00794603i
$624$	−6.19646			−0.248057
$625$	−0.538331	+	24.9942i	−0.0215332	+	0.999768i
$626$	−3.06555			−0.122524
$627$	12.7973	−	4.15808i	0.511073	−	0.166058i
$628$	−3.40699	−	4.68932i	−0.135954	−	0.187124i
$629$	−17.3082	+	12.5751i	−0.690123	+	0.501404i
$630$	−4.73648	−	1.99186i	−0.188706	−	0.0793574i
$631$	14.4643	+	10.5090i	0.575816	+	0.418355i	0.837213	−	0.546876i	$-0.184183\pi$
$631$	14.4643	+	10.5090i	0.575816	+	0.418355i	−0.261397	+	0.965231i	$0.584183\pi$
$632$		−	26.8685i		−	1.06877i
$633$	−3.43257	+	4.72452i	−0.136432	+	0.187783i
$634$	−4.10659	+	12.6388i	−0.163094	+	0.501951i
$635$	−12.7898	−	1.07589i	−0.507546	−	0.0426953i
$636$	−0.465325	−	1.43212i	−0.0184513	−	0.0567873i
$637$	6.11374	+	1.98647i	0.242235	+	0.0787069i
$638$	−27.2026	−	8.83867i	−1.07696	−	0.349926i
$639$	−1.78535	−	5.49473i	−0.0706272	−	0.217368i
$640$	6.82864	+	29.1334i	0.269926	+	1.15160i
$641$	3.35839	−	10.3361i	0.132648	−	0.408250i	−0.862568	−	0.505940i	$-0.831146\pi$
$641$	3.35839	−	10.3361i	0.132648	−	0.408250i	0.995217	+	0.0976905i	$0.0311455\pi$
$642$	−1.63475	+	2.25004i	−0.0645185	+	0.0888021i
$643$			3.09039i			0.121873i	0.998142	+	0.0609366i	$0.0194088\pi$
$643$			3.09039i			0.121873i	−0.998142	+	0.0609366i	$0.980591\pi$
$644$	3.84112	+	2.79074i	0.151361	+	0.109970i
$645$	−17.4573	+	4.09186i	−0.687381	+	0.161117i
$646$	15.5754	−	11.3162i	0.612805	−	0.445229i
$647$	−3.25460	−	4.47957i	−0.127951	−	0.176110i	0.740235	−	0.672348i	$-0.234714\pi$
$647$	−3.25460	−	4.47957i	−0.127951	−	0.176110i	−0.868186	+	0.496238i	$0.834714\pi$
$648$	2.39518	−	0.778240i	0.0940914	−	0.0305721i
$649$	26.0712			1.02338
$650$	7.25185	+	7.40972i	0.284441	+	0.290633i
$651$	5.52910			0.216703
$652$	−7.65366	+	2.48682i	−0.299740	+	0.0973915i
$653$	−22.8504	−	31.4509i	−0.894206	−	1.23077i	−0.972280	−	0.233821i	$-0.924877\pi$
$653$	−22.8504	−	31.4509i	−0.894206	−	1.23077i	0.0780738	−	0.996948i	$-0.475123\pi$
$654$	3.66436	−	2.66231i	0.143288	−	0.104105i
$655$	−5.04632	−	8.33524i	−0.197176	−	0.325685i
$656$	6.89265	+	5.00780i	0.269113	+	0.195522i
$657$		−	6.92684i		−	0.270242i
$658$	8.99949	−	12.3867i	0.350837	−	0.482885i
$659$	6.34687	−	19.5337i	0.247239	−	0.760923i	−0.748021	−	0.663675i	$-0.768996\pi$
$659$	6.34687	−	19.5337i	0.247239	−	0.760923i	0.995260	−	0.0972484i	$-0.0310041\pi$
$660$	−0.737272	+	1.75318i	−0.0286983	+	0.0682423i
$661$	11.8741	+	36.5447i	0.461848	+	1.42142i	0.862903	+	0.505369i	$0.168644\pi$
$661$	11.8741	+	36.5447i	0.461848	+	1.42142i	−0.401055	+	0.916054i	$0.631356\pi$
$662$	5.76252	+	1.87236i	0.223967	+	0.0727712i
$663$	2.81597	+	0.914964i	0.109363	+	0.0355342i
$664$	0.174328	+	0.536526i	0.00676524	+	0.0208213i
$665$	−16.3361	+	9.89020i	−0.633487	+	0.383525i
$666$	4.62995	−	14.2495i	0.179407	−	0.552157i
$667$	−40.8405	+	56.2122i	−1.58135	+	2.17654i
$668$		−	2.33408i		−	0.0903081i
$669$	6.32730	+	4.59705i	0.244627	+	0.177732i
$670$	9.68582	−	11.2178i	0.374196	−	0.433380i
$671$	−23.3272	+	16.9482i	−0.900537	+	0.654278i
$672$	1.77424	+	2.44204i	0.0684430	+	0.0942037i
$673$	12.3466	−	4.01164i	0.475925	−	0.154637i	−0.0612254	−	0.998124i	$-0.519501\pi$
$673$	12.3466	−	4.01164i	0.475925	−	0.154637i	0.537150	+	0.843487i	$0.319501\pi$
$674$	−6.07660			−0.234062
$675$	−4.43033	−	2.31779i	−0.170524	−	0.0892118i
$676$	−4.03529			−0.155204
$677$	6.88524	−	2.23715i	0.264621	−	0.0859807i	−0.173701	−	0.984798i	$-0.555573\pi$
$677$	6.88524	−	2.23715i	0.264621	−	0.0859807i	0.438323	+	0.898818i	$0.355573\pi$
$678$	12.4965	+	17.2000i	0.479927	+	0.660563i
$679$	15.1169	−	10.9831i	0.580134	−	0.421492i
$680$	1.03571	−	12.3121i	0.0397175	−	0.472147i
$681$	13.1942	+	9.58617i	0.505604	+	0.367343i
$682$		−	13.3856i		−	0.512561i
$683$	14.6241	−	20.1283i	0.559575	−	0.770188i	−0.431698	−	0.902018i	$-0.642085\pi$
$683$	14.6241	−	20.1283i	0.559575	−	0.770188i	0.991272	+	0.131830i	$0.0420853\pi$
$684$	−0.637015	+	1.96053i	−0.0243569	+	0.0749627i
$685$	3.34197	+	2.88558i	0.127690	+	0.110252i
$686$	−8.35314	−	25.7083i	−0.318924	−	0.981548i
$687$	−20.6463	−	6.70838i	−0.787704	−	0.255941i
$688$	35.0172	+	11.3778i	1.33502	+	0.433774i
$689$	−1.73961	−	5.35397i	−0.0662739	−	0.203970i
$690$	22.8720	+	19.7485i	0.870724	+	0.751813i
$691$	−10.2812	+	31.6422i	−0.391114	+	1.20373i	0.540832	+	0.841130i	$0.318109\pi$
$691$	−10.2812	+	31.6422i	−0.391114	+	1.20373i	−0.931947	+	0.362595i	$0.881891\pi$
$692$	2.50751	−	3.45130i	0.0953213	−	0.131199i
$693$		−	3.52377i		−	0.133857i
$694$	−12.4259	−	9.02794i	−0.471681	−	0.342696i
$695$	−0.314727	+	3.74136i	−0.0119383	+	0.141918i
$696$	−16.0963	+	11.6946i	−0.610127	+	0.443283i
$697$	−2.39290	−	3.29355i	−0.0906377	−	0.124752i
$698$	−26.9668	+	8.76204i	−1.02071	+	0.331648i
$699$	−13.5341			−0.511905
$700$	0.450928	−	2.66126i	0.0170435	−	0.100586i
$701$	−13.2163			−0.499173			−0.249586	−	0.968353i	$-0.580295\pi$
$701$	−13.2163			−0.499173			−0.249586	+	0.968353i	$0.580295\pi$
$702$	−1.97209	+	0.640771i	−0.0744318	+	0.0241844i
$703$	−32.7307	−	45.0499i	−1.23446	−	1.69909i
$704$	−11.5937	+	8.42328i	−0.436952	+	0.317464i
$705$	9.73689	−	11.2769i	0.366713	−	0.424714i
$706$	−11.5906	−	8.42104i	−0.436217	−	0.316930i
$707$		−	12.2596i		−	0.461069i
$708$	−2.34766	+	3.23128i	−0.0882306	+	0.121439i
$709$	−1.93157	+	5.94475i	−0.0725415	+	0.223260i	−0.980753	−	0.195251i	$-0.937448\pi$
$709$	−1.93157	+	5.94475i	−0.0725415	+	0.223260i	0.908212	+	0.418511i	$0.137448\pi$
$710$	16.9809	−	10.2806i	0.637282	−	0.385823i
$711$	−3.29682	−	10.1466i	−0.123640	−	0.380526i
$712$	1.02793	+	0.333995i	0.0385233	+	0.0125170i
$713$	−30.9252	−	10.0482i	−1.15816	−	0.376308i
$714$	−1.55797	−	4.79495i	−0.0583057	−	0.179446i
$715$	−2.75628	+	6.55423i	−0.103079	+	0.245114i
$716$	1.73731	−	5.34689i	0.0649263	−	0.199823i
$717$	−6.19164	+	8.52206i	−0.231231	+	0.318262i
$718$			44.4735i			1.65973i
$719$	22.2492	+	16.1650i	0.829757	+	0.602854i	0.919491	−	0.393112i	$-0.128602\pi$
$719$	22.2492	+	16.1650i	0.829757	+	0.602854i	−0.0897336	+	0.995966i	$0.528602\pi$
$720$	5.31741	+	8.78301i	0.198168	+	0.327324i
$721$	−3.02477	+	2.19762i	−0.112648	+	0.0818437i
$722$	12.2938	+	16.9209i	0.457526	+	0.629731i
$723$	18.5302	−	6.02082i	0.689145	−	0.223917i
$724$	5.26293			0.195595
$725$	38.9457	+	6.59902i	1.44641	+	0.245081i
$726$	8.37120			0.310684
$727$	−20.9610	+	6.81063i	−0.777399	+	0.252592i	−0.670729	−	0.741702i	$-0.734019\pi$
$727$	−20.9610	+	6.81063i	−0.777399	+	0.252592i	−0.106670	+	0.994295i	$0.534019\pi$
$728$	2.98751	+	4.11196i	0.110725	+	0.152399i
$729$	0.809017	−	0.587785i	0.0299636	−	0.0217698i
$730$	23.1714	−	5.43119i	0.857611	−	0.201017i
$731$	−14.2335	−	10.3412i	−0.526443	−	0.382484i
$732$		−	4.41735i		−	0.163270i
$733$	20.4041	−	28.0838i	0.753641	−	1.03730i	−0.244076	−	0.969756i	$-0.578485\pi$
$733$	20.4041	−	28.0838i	0.753641	−	1.03730i	0.997716	−	0.0675414i	$-0.0215155\pi$
$734$	1.89865	−	5.84345i	0.0700806	−	0.215686i
$735$	−2.43075	−	10.3704i	−0.0896594	−	0.382519i
$736$	−5.48565	−	16.8831i	−0.202204	−	0.622319i
$737$	9.66645	+	3.14082i	0.356068	+	0.115694i
$738$	2.71151	+	0.881025i	0.0998122	+	0.0324310i
$739$	2.34418	+	7.21465i	0.0862321	+	0.265395i	0.984870	−	0.173297i	$-0.0554420\pi$
$739$	2.34418	+	7.21465i	0.0862321	+	0.265395i	−0.898638	+	0.438692i	$0.855442\pi$
$740$	7.84297	+	0.659759i	0.288313	+	0.0242532i
$741$	−2.38147	+	7.32942i	−0.0874856	+	0.269253i
$742$	−5.63436	+	7.75503i	−0.206844	+	0.284696i
$743$			27.5328i			1.01008i	0.863096	+	0.505040i	$0.168522\pi$
$743$			27.5328i			1.01008i	−0.863096	+	0.505040i	$0.831478\pi$
$744$	−7.53283	−	5.47292i	−0.276167	−	0.200647i
$745$	−15.2226	−	6.40164i	−0.557713	−	0.234538i
$746$	3.94383	−	2.86536i	0.144394	−	0.104908i
$747$	0.131666	+	0.181222i	0.00481739	+	0.00663057i
$748$	−1.77482	+	0.576674i	−0.0648938	+	0.0210853i
$749$	2.70690			0.0989081
$750$	4.27965	−	16.6375i	0.156271	−	0.607516i
$751$	4.24930			0.155059			0.0775296	−	0.996990i	$-0.475297\pi$
$751$	4.24930			0.155059			0.0775296	+	0.996990i	$0.475297\pi$
$752$	−29.0967	+	9.45408i	−1.06105	+	0.344755i
$753$	−12.3109	−	16.9446i	−0.448636	−	0.617494i
$754$	13.2530	−	9.62888i	0.482646	−	0.350663i
$755$	8.78362	+	3.69382i	0.319669	+	0.134432i
$756$	0.436739	+	0.317309i	0.0158840	+	0.0115404i
$757$			45.6609i			1.65957i	0.558081	+	0.829787i	$0.311538\pi$
$757$			45.6609i			1.65957i	−0.558081	+	0.829787i	$0.688462\pi$
$758$	25.7586	−	35.4537i	0.935595	−	1.28774i
$759$	−6.40385	+	19.7090i	−0.232445	+	0.715392i
$760$	32.0459	+	2.69574i	1.16243	+	0.0977848i
$761$	−12.3999	−	38.1628i	−0.449495	−	1.38340i	−0.877479	−	0.479616i	$-0.840776\pi$
$761$	−12.3999	−	38.1628i	−0.449495	−	1.38340i	0.427984	−	0.903786i	$-0.359224\pi$
$762$	8.38804	+	2.72544i	0.303867	+	0.0987323i
$763$	−4.19262	−	1.36227i	−0.151783	−	0.0493173i
$764$	2.34121	+	7.20550i	0.0847020	+	0.260686i
$765$	−1.11959	−	4.77659i	−0.0404790	−	0.172698i
$766$	−5.44196	+	16.7486i	−0.196626	+	0.605152i
$767$	−8.77671	+	12.0801i	−0.316909	+	0.436187i
$768$		−	8.39819i		−	0.303044i
$769$	−30.6092	−	22.2389i	−1.10380	−	0.801954i	−0.122120	−	0.992515i	$-0.538969\pi$
$769$	−30.6092	−	22.2389i	−1.10380	−	0.801954i	−0.981675	+	0.190561i	$0.938969\pi$
$770$	11.7876	−	2.76291i	0.424795	−	0.0995685i
$771$	−1.35204	+	0.982314i	−0.0486925	+	0.0353772i
$772$	4.81840	+	6.63195i	0.173418	+	0.238689i
$773$	24.9318	−	8.10082i	0.896733	−	0.291366i	0.175845	−	0.984418i	$-0.443734\pi$
$773$	24.9318	−	8.10082i	0.896733	−	0.291366i	0.720888	+	0.693052i	$0.243734\pi$
$774$	12.3212			0.442875
$775$	2.69507	+	18.2883i	0.0968096	+	0.656937i
$776$	−31.4667			−1.12959
$777$	−13.8688	+	4.50625i	−0.497541	+	0.161661i
$778$	−30.9299	−	42.5713i	−1.10889	−	1.52626i
$779$	8.57247	−	6.22826i	0.307140	−	0.223151i
$780$	−0.564138	−	0.931813i	−0.0201994	−	0.0333643i
$781$	11.0134	+	8.00168i	0.394089	+	0.286323i
$782$			29.6503i			1.06029i
$783$	−4.64360	+	6.39137i	−0.165949	+	0.228409i
$784$	−6.75891	+	20.8018i	−0.241390	+	0.742921i
$785$	−13.9188	+	33.0977i	−0.496782	+	1.18131i
$786$	2.06905	+	6.36789i	0.0738007	+	0.227135i
$787$	2.29446	+	0.745515i	0.0817887	+	0.0265747i	0.349626	−	0.936890i	$-0.386309\pi$
$787$	2.29446	+	0.745515i	0.0817887	+	0.0265747i	−0.267837	+	0.963464i	$0.586309\pi$
$788$	0.464639	+	0.150970i	0.0165521	+	0.00537810i
$789$	2.33514	+	7.18682i	0.0831331	+	0.255858i
$790$	31.3569	−	18.9841i	1.11563	−	0.675424i
$791$	6.39430	−	19.6796i	0.227355	−	0.699727i
$792$	−3.48796	+	4.80077i	−0.123939	+	0.170588i
$793$		−	16.5142i		−	0.586437i
$794$	−24.9033	−	18.0933i	−0.883785	−	0.642108i
$795$	−6.09603	+	7.06021i	−0.216204	+	0.250400i
$796$	2.61682	−	1.90123i	0.0927508	−	0.0673874i
$797$	4.76829	+	6.56299i	0.168902	+	0.232473i	0.885074	−	0.465450i	$-0.154108\pi$
$797$	4.76829	+	6.56299i	0.168902	+	0.232473i	−0.716172	+	0.697923i	$0.754108\pi$
$798$	12.4803	−	4.05510i	0.441799	−	0.143549i
$799$	14.6189			0.517180
$800$	−7.21258	+	7.05891i	−0.255003	+	0.249570i
$801$	0.429167			0.0151639
$802$	7.28041	−	2.36555i	0.257080	−	0.0835304i
$803$	9.59348	+	13.2043i	0.338546	+	0.465969i
$804$	−1.25972	+	0.915242i	−0.0444270	+	0.0322781i
$805$	2.46536	−	29.3073i	0.0868926	−	1.03295i
$806$	6.20223	+	4.50618i	0.218464	+	0.158724i
$807$		−	11.2841i		−	0.397220i
$808$	−12.1350	+	16.7024i	−0.426908	+	0.587589i
$809$	12.5798	−	38.7166i	0.442282	−	1.36120i	−0.443155	−	0.896445i	$-0.646141\pi$
$809$	12.5798	−	38.7166i	0.442282	−	1.36120i	0.885437	−	0.464759i	$-0.153859\pi$
$810$	2.60057	+	2.24542i	0.0913747	+	0.0788961i
$811$	−15.2960	−	47.0763i	−0.537116	−	1.65307i	−0.739032	−	0.673671i	$-0.764717\pi$
$811$	−15.2960	−	47.0763i	−0.537116	−	1.65307i	0.201915	−	0.979403i	$-0.435283\pi$
$812$	−4.05608	−	1.31790i	−0.142341	−	0.0462493i
$813$	10.4380	+	3.39152i	0.366078	+	0.118946i
$814$	10.9093	+	33.5755i	0.382372	+	1.17682i
$815$	37.7317	+	32.5789i	1.32168	+	1.14119i
$816$	−3.11313	+	9.58124i	−0.108981	+	0.335410i
$817$	26.9162	−	37.0469i	0.941678	−	1.29611i
$818$			36.6606i			1.28181i
$819$	1.63274	+	1.18626i	0.0570527	+	0.0414512i
$820$	−0.125544	+	1.49242i	−0.00438420	+	0.0521177i
$821$	−34.1498	+	24.8113i	−1.19183	+	0.865919i	−0.993457	−	0.114207i	$-0.963567\pi$
$821$	−34.1498	+	24.8113i	−1.19183	+	0.865919i	−0.198378	+	0.980126i	$0.563567\pi$
$822$	−1.78338	−	2.45462i	−0.0622027	−	0.0856146i
$823$	46.8252	−	15.2144i	1.63222	−	0.530342i	0.657443	−	0.753504i	$-0.271638\pi$
$823$	46.8252	−	15.2144i	1.63222	−	0.530342i	0.974781	+	0.223162i	$0.0716380\pi$
$824$	6.29622			0.219339
$825$	11.6554	−	1.71760i	0.405789	−	0.0597992i
$826$	25.4255			0.884666
$827$	48.5050	−	15.7602i	1.68668	−	0.548036i	0.700493	−	0.713659i	$-0.252963\pi$
$827$	48.5050	−	15.7602i	1.68668	−	0.548036i	0.986189	+	0.165623i	$0.0529633\pi$
$828$	−1.86610	−	2.56846i	−0.0648513	−	0.0892602i
$829$	−30.9321	+	22.4735i	−1.07432	+	0.780537i	−0.976683	−	0.214686i	$-0.931127\pi$
$829$	−30.9321	+	22.4735i	−1.07432	+	0.780537i	−0.0976336	+	0.995222i	$0.531127\pi$
$830$	−0.502981	+	0.582535i	−0.0174587	+	0.0202201i
$831$	−4.65275	−	3.38042i	−0.161402	−	0.117266i
$832$		−	8.20758i		−	0.284547i
$833$	6.14314	−	8.45531i	0.212847	−	0.292959i
$834$	0.797267	−	2.45374i	0.0276071	−	0.0849659i
$835$	−12.3683	+	7.48803i	−0.428024	+	0.259134i
$836$	−1.50097	−	4.61951i	−0.0519121	−	0.159769i
$837$	−3.51622	−	1.14249i	−0.121538	−	0.0394902i
$838$	0.705171	+	0.229124i	0.0243597	+	0.00791496i
$839$	5.16324	+	15.8908i	0.178255	+	0.548612i	0.999767	−	0.0215787i	$-0.00686926\pi$
$839$	5.16324	+	15.8908i	0.178255	+	0.548612i	−0.821512	+	0.570191i	$0.806869\pi$
$840$	3.26470	−	7.76320i	0.112643	−	0.267856i
$841$	10.3251	−	31.7774i	0.356038	−	1.09577i
$842$	16.0025	−	22.0255i	0.551481	−	0.759049i
$843$		−	8.49962i		−	0.292742i
$844$	1.70544	+	1.23908i	0.0587037	+	0.0426507i
$845$	12.9458	+	21.3831i	0.445348	+	0.735602i
$846$	−8.28270	+	6.01773i	−0.284765	+	0.206894i
$847$	−4.78901	−	6.59151i	−0.164552	−	0.226487i
$848$	18.2167	−	5.91897i	0.625564	−	0.203258i
$849$	−17.2248			−0.591154
$850$	15.1006	−	7.49044i	0.517946	−	0.256920i
$851$	85.7599			2.93981
$852$	−1.98347	+	0.644468i	−0.0679525	+	0.0220791i
$853$	10.7355	+	14.7762i	0.367578	+	0.505928i	0.952241	−	0.305349i	$-0.0987731\pi$
$853$	10.7355	+	14.7762i	0.367578	+	0.505928i	−0.584662	+	0.811277i	$0.698773\pi$
$854$	−22.7495	+	16.5285i	−0.778471	+	0.565593i
$855$	12.4325	−	2.91409i	0.425184	−	0.0996596i
$856$	−3.68787	−	2.67940i	−0.126049	−	0.0915799i
$857$			53.4773i			1.82675i	0.407119	+	0.913375i	$0.366534\pi$
$857$			53.4773i			1.82675i	−0.407119	+	0.913375i	$0.633466\pi$
$858$	2.87185	−	3.95276i	0.0980433	−	0.134945i
$859$	5.79639	−	17.8395i	0.197770	−	0.608674i	−0.802163	−	0.597105i	$-0.796317\pi$
$859$	5.79639	−	17.8395i	0.197770	−	0.608674i	0.999933	−	0.0115690i	$-0.00368259\pi$
$860$	1.47706	+	6.30168i	0.0503674	+	0.214885i
$861$	−0.857487	−	2.63907i	−0.0292231	−	0.0899394i
$862$	−39.1730	−	12.7281i	−1.33424	−	0.433520i
$863$	−48.7286	−	15.8329i	−1.65874	−	0.538957i	−0.678133	−	0.734939i	$-0.737211\pi$
$863$	−48.7286	−	15.8329i	−1.65874	−	0.538957i	−0.980607	+	0.195982i	$0.937211\pi$
$864$	−0.623723	−	1.91962i	−0.0212195	−	0.0653069i
$865$	−26.3329	−	2.21516i	−0.895347	−	0.0753176i
$866$	−4.38313	+	13.4899i	−0.148945	+	0.458405i
$867$	−7.16284	+	9.85880i	−0.243263	+	0.334822i
$868$		−	1.99588i		−	0.0677444i
$869$	20.3373	+	14.7759i	0.689895	+	0.501238i
$870$	−25.0211	−	10.5223i	−0.848295	−	0.356738i
$871$	−4.70946	+	3.42162i	−0.159574	+	0.115937i
$872$	4.36359	+	6.00597i	0.147770	+	0.203388i
$873$	−11.8830	+	3.86103i	−0.402179	+	0.130676i
$874$	−77.1739			−2.61045
$875$	−15.5487	+	6.14821i	−0.525643	+	0.207847i
$876$	−2.50042			−0.0844815
$877$	−5.76631	+	1.87359i	−0.194715	+	0.0632666i	−0.404751	−	0.914427i	$-0.632642\pi$
$877$	−5.76631	+	1.87359i	−0.194715	+	0.0632666i	0.210036	+	0.977694i	$0.432642\pi$
$878$	−0.905331	−	1.24608i	−0.0305534	−	0.0420532i
$879$	−7.59476	+	5.51791i	−0.256165	+	0.186115i
$880$	−22.3005	−	9.37816i	−0.751751	−	0.316138i
$881$	−18.3403	−	13.3250i	−0.617899	−	0.448930i	0.234288	−	0.972167i	$-0.424724\pi$
$881$	−18.3403	−	13.3250i	−0.617899	−	0.448930i	−0.852187	+	0.523237i	$0.824724\pi$
$882$			7.31933i			0.246455i
$883$	−3.25574	+	4.48114i	−0.109564	+	0.150802i	−0.860278	−	0.509826i	$-0.829710\pi$
$883$	−3.25574	+	4.48114i	−0.109564	+	0.150802i	0.750713	+	0.660628i	$0.229710\pi$
$884$	0.330280	−	1.01650i	0.0111085	−	0.0341885i
$885$	24.6543	+	2.07394i	0.828744	+	0.0697149i
$886$	−12.4817	−	38.4146i	−0.419329	−	1.29056i
$887$	10.4346	+	3.39041i	0.350360	+	0.113839i	0.478909	−	0.877864i	$-0.341032\pi$
$887$	10.4346	+	3.39041i	0.350360	+	0.113839i	−0.128550	+	0.991703i	$0.541032\pi$
$888$	23.3553	+	7.58859i	0.783752	+	0.254656i
$889$	−2.65263	−	8.16394i	−0.0889662	−	0.273810i
$890$	0.336501	+	1.43563i	0.0112795	+	0.0481225i
$891$	−0.728123	+	2.24093i	−0.0243930	+	0.0750740i
$892$	1.65943	−	2.28401i	0.0555617	−	0.0764742i
$893$			38.0502i			1.27330i
$894$	9.18054	+	6.67005i	0.307043	+	0.223080i
$895$	−33.9068	+	7.94749i	−1.13338	+	0.265655i
$896$	−16.1906	+	11.7632i	−0.540890	+	0.392980i
$897$	−6.97638	−	9.60216i	−0.232934	−	0.320607i
$898$	−6.94794	+	2.25752i	−0.231856	+	0.0753345i
$899$	29.2083			0.974151
$900$	−0.836667	+	1.59925i	−0.0278889	+	0.0533082i
$901$	−9.15254			−0.304915
$902$	−6.38902	+	2.07592i	−0.212731	+	0.0691205i
$903$	−7.04872	−	9.70173i	−0.234567	−	0.322853i
$904$	−28.1912	+	20.4821i	−0.937627	+	0.681226i
$905$	−16.8842	−	27.8884i	−0.561250	−	0.927042i
$906$	−5.29727	−	3.84869i	−0.175990	−	0.127864i
$907$			19.3907i			0.643856i	0.946764	+	0.321928i	$0.104331\pi$
$907$			19.3907i			0.643856i	−0.946764	+	0.321928i	$0.895669\pi$
$908$	3.46038	−	4.76281i	0.114837	−	0.158059i
$909$	−2.53322	+	7.79645i	−0.0840216	+	0.258592i
$910$	−2.68802	+	6.39191i	−0.0891071	+	0.211890i
$911$	−4.23940	−	13.0475i	−0.140458	−	0.432284i	0.855941	−	0.517073i	$-0.172978\pi$
$911$	−4.23940	−	13.0475i	−0.140458	−	0.432284i	−0.996399	+	0.0847888i	$0.972978\pi$
$912$	−24.9381	−	8.10288i	−0.825783	−	0.268313i
$913$	−0.501975	−	0.163102i	−0.0166130	−	0.00539788i
$914$	−7.58300	−	23.3381i	−0.250823	−	0.771955i
$915$	−23.4077	+	14.1715i	−0.773833	+	0.468494i
$916$	−2.42157	+	7.45282i	−0.0800108	+	0.246248i
$917$	3.83043	−	5.27213i	0.126492	−	0.174101i
$918$			3.37126i			0.111268i
$919$	−26.2209	−	19.0506i	−0.864947	−	0.628421i	0.0642792	−	0.997932i	$-0.479525\pi$
$919$	−26.2209	−	19.0506i	−0.864947	−	0.628421i	−0.929226	+	0.369511i	$0.879525\pi$
$920$	−32.3683	+	37.4878i	−1.06715	+	1.23594i
$921$	8.61319	−	6.25785i	0.283814	−	0.206203i
$922$	35.9058	+	49.4202i	1.18250	+	1.62757i
$923$	−7.41518	+	2.40934i	−0.244073	+	0.0793043i
$924$	−1.27200			−0.0418457
$925$	−21.6652	−	43.6767i	−0.712348	−	1.43608i
$926$	−40.1360			−1.31895
$927$	2.37769	−	0.772559i	0.0780936	−	0.0253742i
$928$	9.37270	+	12.9004i	0.307674	+	0.423477i
$929$	−3.50664	+	2.54772i	−0.115049	+	0.0835880i	−0.643822	−	0.765175i	$-0.722652\pi$
$929$	−3.50664	+	2.54772i	−0.115049	+	0.0835880i	0.528773	+	0.848763i	$0.322652\pi$
$930$	1.06482	−	12.6581i	0.0349167	−	0.415076i
$931$	22.0075	+	15.9894i	0.721268	+	0.524032i
$932$			4.88548i			0.160029i
$933$	16.0801	−	22.1324i	0.526440	−	0.724582i
$934$	−1.82902	+	5.62915i	−0.0598474	+	0.184192i
$935$	8.74967	+	7.55477i	0.286145	+	0.247067i
$936$	−1.05024	−	3.23230i	−0.0343281	−	0.105651i
$937$	51.9206	+	16.8700i	1.69617	+	0.551120i	0.987937	−	0.154857i	$-0.0494918\pi$
$937$	51.9206	+	16.8700i	1.69617	+	0.551120i	0.708235	+	0.705977i	$0.249492\pi$
$938$	9.42705	+	3.06303i	0.307804	+	0.100012i
$939$	−0.616517	−	1.89744i	−0.0201193	−	0.0619208i
$940$	−4.07071	−	3.51479i	−0.132772	−	0.114640i
$941$	1.30978	−	4.03108i	0.0426975	−	0.131409i	−0.927435	−	0.373983i	$-0.877992\pi$
$941$	1.30978	−	4.03108i	0.0426975	−	0.131409i	0.970133	+	0.242574i	$0.0779917\pi$
$942$	14.5023	−	19.9608i	0.472512	−	0.650357i
$943$			16.3191i			0.531423i
$944$	−41.1022	−	29.8625i	−1.33776	−	0.971940i
$945$	0.280314	−	3.33226i	0.00911860	−	0.108398i
$946$	−23.4872	+	17.0645i	−0.763636	+	0.554814i
$947$	−7.41018	−	10.1992i	−0.240798	−	0.331431i	0.671464	−	0.741037i	$-0.265666\pi$
$947$	−7.41018	−	10.1992i	−0.240798	−	0.331431i	−0.912262	+	0.409607i	$0.865666\pi$
$948$	−3.66267	+	1.19007i	−0.118958	+	0.0386518i
$949$	−9.34781			−0.303443
$950$	19.4962	+	39.3039i	0.632539	+	1.27519i
$951$	−8.64876			−0.280455
$952$	7.85903	−	2.55356i	0.254713	−	0.0827612i
$953$	−18.3174	−	25.2118i	−0.593360	−	0.816690i	0.401720	−	0.915762i	$-0.368412\pi$
$953$	−18.3174	−	25.2118i	−0.593360	−	0.816690i	−0.995080	+	0.0990725i	$0.968412\pi$
$954$	5.18559	−	3.76755i	0.167890	−	0.121979i
$955$	30.6712	−	35.5224i	0.992498	−	1.14948i
$956$	3.07626	+	2.23503i	0.0994934	+	0.0722862i
$957$		−	18.6148i		−	0.601732i
$958$	−12.8879	+	17.7387i	−0.416390	+	0.573111i
$959$	−0.912532	+	2.80848i	−0.0294672	+	0.0906907i
$960$	−11.6336	+	7.04323i	−0.375474	+	0.227319i
$961$	−5.35555	−	16.4827i	−0.172760	−	0.531700i
$962$	−19.2298	−	6.24814i	−0.619994	−	0.201448i
$963$	−1.72145	−	0.559332i	−0.0554729	−	0.0180242i
$964$	−2.17337	−	6.68896i	−0.0699997	−	0.215437i
$965$	19.6848	−	46.8090i	0.633677	−	1.50684i
$966$	−6.24525	+	19.2209i	−0.200938	+	0.618422i
$967$	0.912880	−	1.25647i	0.0293562	−	0.0404054i	−0.794087	−	0.607805i	$-0.792050\pi$
$967$	0.912880	−	1.25647i	0.0293562	−	0.0404054i	0.823443	+	0.567399i	$0.192050\pi$
$968$			13.7206i			0.440997i
$969$	10.1366	+	7.36467i	0.325635	+	0.236587i
$970$	−22.2330	−	36.7233i	−0.713858	−	1.17911i
$971$	30.9548	−	22.4900i	0.993388	−	0.721739i	0.0327278	−	0.999464i	$-0.489581\pi$
$971$	30.9548	−	22.4900i	0.993388	−	0.721739i	0.960660	+	0.277725i	$0.0895806\pi$
$972$	−0.212177	−	0.292036i	−0.00680557	−	0.00936706i
$973$	−2.38818	+	0.775967i	−0.0765616	+	0.0248764i
$974$	38.1405			1.22210
$975$	−3.12787	+	5.97876i	−0.100172	+	0.191474i
$976$	56.1890			1.79857
$977$	19.3693	−	6.29348i	0.619680	−	0.201346i	0.0176817	−	0.999844i	$-0.494371\pi$
$977$	19.3693	−	6.29348i	0.619680	−	0.201346i	0.601998	+	0.798497i	$0.294371\pi$
$978$	−20.1348	−	27.7132i	−0.643841	−	0.886172i
$979$	−0.818100	+	0.594384i	−0.0261466	+	0.0189966i
$980$	−3.74348	+	0.877442i	−0.119581	+	0.0280288i
$981$	2.38480	+	1.73266i	0.0761408	+	0.0553195i
$982$		−	17.6539i		−	0.563359i
$983$	7.79150	−	10.7241i	0.248510	−	0.342045i	−0.666479	−	0.745524i	$-0.732199\pi$
$983$	7.79150	−	10.7241i	0.248510	−	0.342045i	0.914989	+	0.403479i	$0.132199\pi$
$984$	−1.44402	+	4.44424i	−0.0460337	+	0.141677i
$985$	−0.690629	−	2.94647i	−0.0220053	−	0.0938823i
$986$	−8.23022	−	25.3300i	−0.262103	−	0.806671i
$987$	9.47676	+	3.07919i	0.301649	+	0.0980116i
$988$	2.64575	+	0.859655i	0.0841724	+	0.0273493i
$989$	21.7934	+	67.0732i	0.692990	+	2.13280i
$990$	−8.06718	−	0.678621i	−0.256392	−	0.0215680i
$991$	−0.692448	+	2.13113i	−0.0219963	+	0.0676977i	−0.961452	−	0.274972i	$-0.911331\pi$
$991$	−0.692448	+	2.13113i	−0.0219963	+	0.0676977i	0.939456	+	0.342670i	$0.111331\pi$
$992$	−4.38629	+	6.03721i	−0.139265	+	0.191682i
$993$			3.94331i			0.125137i
$994$	10.7406	+	7.80351i	0.340671	+	0.247512i
$995$	−18.4698	−	7.76720i	−0.585532	−	0.246237i
$996$	0.0654169	−	0.0475282i	0.00207281	−	0.00150599i
$997$	8.25272	+	11.3589i	0.261366	+	0.359740i	0.919451	−	0.393204i	$-0.128633\pi$
$997$	8.25272	+	11.3589i	0.261366	+	0.359740i	−0.658085	+	0.752943i	$0.728633\pi$
$998$	6.10092	−	1.98231i	0.193121	−	0.0627489i
$999$	9.75097			0.308507

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	75.2.i.a.19.4	yes	16
3.2	odd	2		225.2.m.b.19.1		16
5.2	odd	4		375.2.g.d.151.3		16
5.3	odd	4		375.2.g.e.151.2		16
5.4	even	2		375.2.i.c.349.1		16
25.2	odd	20		1875.2.a.p.1.6		8
25.3	odd	20		375.2.g.e.226.2		16
25.4	even	10	inner	75.2.i.a.4.4	✓	16
25.11	even	5		1875.2.b.h.1249.4		16
25.14	even	10		1875.2.b.h.1249.13		16
25.21	even	5		375.2.i.c.274.1		16
25.22	odd	20		375.2.g.d.226.3		16
25.23	odd	20		1875.2.a.m.1.3		8
75.2	even	20		5625.2.a.t.1.3		8
75.23	even	20		5625.2.a.bd.1.6		8
75.29	odd	10		225.2.m.b.154.1		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
75.2.i.a.4.4	✓	16	25.4	even	10	inner
75.2.i.a.19.4	yes	16	1.1	even	1	trivial
225.2.m.b.19.1		16	3.2	odd	2
225.2.m.b.154.1		16	75.29	odd	10
375.2.g.d.151.3		16	5.2	odd	4
375.2.g.d.226.3		16	25.22	odd	20
375.2.g.e.151.2		16	5.3	odd	4
375.2.g.e.226.2		16	25.3	odd	20
375.2.i.c.274.1		16	25.21	even	5
375.2.i.c.349.1		16	5.4	even	2
1875.2.a.m.1.3		8	25.23	odd	20
1875.2.a.p.1.6		8	25.2	odd	20
1875.2.b.h.1249.4		16	25.11	even	5
1875.2.b.h.1249.13		16	25.14	even	10
5625.2.a.t.1.3		8	75.2	even	20
5625.2.a.bd.1.6		8	75.23	even	20

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:	\( N \)	\(=\)	\( 75 = 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	75.i (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.46134 - 0.474819i) q^{2} +(0.587785 + 0.809017i) q^{3} +(0.292036 - 0.212177i) q^{4} +(-2.06122 - 0.866816i) q^{5} +(1.24309 + 0.903160i) q^{6} -1.49550i q^{7} +(-1.48030 + 2.03746i) q^{8} +(-0.309017 + 0.951057i) q^{9} +O(q^{10})\)	\(q+(1.46134 - 0.474819i) q^{2} +(0.587785 + 0.809017i) q^{3} +(0.292036 - 0.212177i) q^{4} +(-2.06122 - 0.866816i) q^{5} +(1.24309 + 0.903160i) q^{6} -1.49550i q^{7} +(-1.48030 + 2.03746i) q^{8} +(-0.309017 + 0.951057i) q^{9} +(-3.42373 - 0.288008i) q^{10} +(-0.728123 - 2.24093i) q^{11} +(0.343309 + 0.111548i) q^{12} +(1.28346 + 0.417020i) q^{13} +(-0.710090 - 2.18543i) q^{14} +(-0.510286 - 2.17706i) q^{15} +(-1.41890 + 4.36692i) q^{16} +(1.28963 - 1.77502i) q^{17} +1.53655i q^{18} +(4.62004 + 3.35666i) q^{19} +(-0.785869 + 0.184201i) q^{20} +(1.20988 - 0.879031i) q^{21} +(-2.12807 - 2.92904i) q^{22} +(-8.36455 + 2.71781i) q^{23} -2.51844 q^{24} +(3.49726 + 3.57340i) q^{25} +2.07358 q^{26} +(-0.951057 + 0.309017i) q^{27} +(-0.317309 - 0.436739i) q^{28} +(6.39137 - 4.64360i) q^{29} +(-1.77942 - 2.93914i) q^{30} +(2.99107 + 2.17314i) q^{31} +2.01841i q^{32} +(1.38497 - 1.90625i) q^{33} +(1.04178 - 3.20626i) q^{34} +(-1.29632 + 3.08255i) q^{35} +(0.111548 + 0.343309i) q^{36} +(-9.27372 - 3.01321i) q^{37} +(8.34527 + 2.71154i) q^{38} +(0.417020 + 1.28346i) q^{39} +(4.81733 - 2.91650i) q^{40} +(0.573380 - 1.76468i) q^{41} +(1.35067 - 1.85904i) q^{42} -8.01874i q^{43} +(-0.688111 - 0.499942i) q^{44} +(1.46134 - 1.69248i) q^{45} +(-10.9330 + 7.94330i) q^{46} +(3.91640 + 5.39046i) q^{47} +(-4.36692 + 1.41890i) q^{48} +4.76349 q^{49} +(6.80741 + 3.56139i) q^{50} +2.19405 q^{51} +(0.463298 - 0.150535i) q^{52} +(-2.45196 - 3.37484i) q^{53} +(-1.24309 + 0.903160i) q^{54} +(-0.441653 + 5.25020i) q^{55} +(3.04701 + 2.21378i) q^{56} +5.71069i q^{57} +(7.13511 - 9.82064i) q^{58} +(-3.41917 + 10.5231i) q^{59} +(-0.610944 - 0.527510i) q^{60} +(-3.78151 - 11.6383i) q^{61} +(5.40283 + 1.75549i) q^{62} +(1.42230 + 0.462134i) q^{63} +(-1.87942 - 5.78425i) q^{64} +(-2.28401 - 1.97209i) q^{65} +(1.11879 - 3.44330i) q^{66} +(-2.53546 + 3.48976i) q^{67} -0.792000i q^{68} +(-7.11531 - 5.16958i) q^{69} +(-0.430715 + 5.12018i) q^{70} +(-4.67410 + 3.39593i) q^{71} +(-1.48030 - 2.03746i) q^{72} +(-6.58781 + 2.14051i) q^{73} -14.9828 q^{74} +(-0.835300 + 4.92973i) q^{75} +2.06142 q^{76} +(-3.35130 + 1.08890i) q^{77} +(1.21882 + 1.67756i) q^{78} +(-8.63118 + 6.27092i) q^{79} +(6.70997 - 7.77126i) q^{80} +(-0.809017 - 0.587785i) q^{81} -2.85106i q^{82} +(0.131666 - 0.181222i) q^{83} +(0.166819 - 0.513417i) q^{84} +(-4.19683 + 2.54084i) q^{85} +(-3.80745 - 11.7181i) q^{86} +(7.51351 + 2.44129i) q^{87} +(5.64364 + 1.83373i) q^{88} +(-0.132620 - 0.408162i) q^{89} +(1.33190 - 3.16716i) q^{90} +(0.623652 - 1.91940i) q^{91} +(-1.86610 + 2.56846i) q^{92} +3.69717i q^{93} +(8.28270 + 6.01773i) q^{94} +(-6.61332 - 10.9235i) q^{95} +(-1.63293 + 1.18639i) q^{96} +(7.34411 + 10.1083i) q^{97} +(6.96109 - 2.26180i) q^{98} +2.35626 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q + 2 q^{4} + 2 q^{6} - 30 q^{8} + 4 q^{9}+O(q^{10}) \) 16 * q + 2 * q^4 + 2 * q^6 - 30 * q^8 + 4 * q^9	\( 16 q + 2 q^{4} + 2 q^{6} - 30 q^{8} + 4 q^{9} - 6 q^{11} - 12 q^{14} - 10 q^{16} + 10 q^{17} - 2 q^{19} + 20 q^{20} + 4 q^{21} - 30 q^{22} - 20 q^{23} + 24 q^{24} - 10 q^{25} + 12 q^{26} + 30 q^{28} + 16 q^{29} - 20 q^{30} + 6 q^{31} + 10 q^{33} - 36 q^{34} + 10 q^{35} - 2 q^{36} - 10 q^{37} + 30 q^{38} - 8 q^{39} + 10 q^{40} - 14 q^{41} - 10 q^{42} + 26 q^{44} + 16 q^{46} + 40 q^{47} + 20 q^{50} - 32 q^{51} + 40 q^{52} + 10 q^{53} - 2 q^{54} + 10 q^{55} + 10 q^{58} + 12 q^{59} - 30 q^{60} - 10 q^{62} - 10 q^{63} + 8 q^{64} - 70 q^{65} + 16 q^{66} - 40 q^{67} - 12 q^{69} + 30 q^{70} - 8 q^{71} - 30 q^{72} - 20 q^{73} - 52 q^{74} - 32 q^{76} - 40 q^{77} - 20 q^{79} - 4 q^{81} + 10 q^{83} + 12 q^{84} - 20 q^{85} - 36 q^{86} + 40 q^{87} - 40 q^{88} + 18 q^{89} + 30 q^{90} + 26 q^{91} + 10 q^{92} - 38 q^{94} - 40 q^{95} - 26 q^{96} + 40 q^{97} + 60 q^{98} - 4 q^{99}+O(q^{100}) \) 16 * q + 2 * q^4 + 2 * q^6 - 30 * q^8 + 4 * q^9 - 6 * q^11 - 12 * q^14 - 10 * q^16 + 10 * q^17 - 2 * q^19 + 20 * q^20 + 4 * q^21 - 30 * q^22 - 20 * q^23 + 24 * q^24 - 10 * q^25 + 12 * q^26 + 30 * q^28 + 16 * q^29 - 20 * q^30 + 6 * q^31 + 10 * q^33 - 36 * q^34 + 10 * q^35 - 2 * q^36 - 10 * q^37 + 30 * q^38 - 8 * q^39 + 10 * q^40 - 14 * q^41 - 10 * q^42 + 26 * q^44 + 16 * q^46 + 40 * q^47 + 20 * q^50 - 32 * q^51 + 40 * q^52 + 10 * q^53 - 2 * q^54 + 10 * q^55 + 10 * q^58 + 12 * q^59 - 30 * q^60 - 10 * q^62 - 10 * q^63 + 8 * q^64 - 70 * q^65 + 16 * q^66 - 40 * q^67 - 12 * q^69 + 30 * q^70 - 8 * q^71 - 30 * q^72 - 20 * q^73 - 52 * q^74 - 32 * q^76 - 40 * q^77 - 20 * q^79 - 4 * q^81 + 10 * q^83 + 12 * q^84 - 20 * q^85 - 36 * q^86 + 40 * q^87 - 40 * q^88 + 18 * q^89 + 30 * q^90 + 26 * q^91 + 10 * q^92 - 38 * q^94 - 40 * q^95 - 26 * q^96 + 40 * q^97 + 60 * q^98 - 4 * q^99

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