LMFDB - Embedded newform 105.2.u.a.52.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [105,2,Mod(52,105)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(105, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 3, 2]))

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

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

chi := DirichletCharacter("105.52");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 105 = 3 \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	105.u (of order $12$, 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:	$0.838429221223$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$8$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			52.6
Character	$\chi$	$=$	105.52
Dual form			105.2.u.a.103.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.259789 - 0.969545i) q^{2} +(0.965926 - 0.258819i) q^{3} +(0.859523 + 0.496246i) q^{4} +(-1.40510 - 1.73945i) q^{5} -1.00375i q^{6} +(-1.06195 + 2.42328i) q^{7} +(2.12394 - 2.12394i) q^{8} +(0.866025 - 0.500000i) q^{9} +O(q^{10})$	\(q+(0.259789 - 0.969545i) q^{2} +(0.965926 - 0.258819i) q^{3} +(0.859523 + 0.496246i) q^{4} +(-1.40510 - 1.73945i) q^{5} -1.00375i q^{6} +(-1.06195 + 2.42328i) q^{7} +(2.12394 - 2.12394i) q^{8} +(0.866025 - 0.500000i) q^{9} +(-2.05151 + 0.910421i) q^{10} +(-1.78283 + 3.08796i) q^{11} +(0.958673 + 0.256876i) q^{12} +(-2.78368 - 2.78368i) q^{13} +(2.07359 + 1.65915i) q^{14} +(-1.80743 - 1.31651i) q^{15} +(-0.514988 - 0.891986i) q^{16} +(-0.135713 - 0.506489i) q^{17} +(-0.259789 - 0.969545i) q^{18} +(2.06188 + 3.57128i) q^{19} +(-0.344523 - 2.19237i) q^{20} +(-0.398574 + 2.61556i) q^{21} +(2.53075 + 2.53075i) q^{22} +(-2.49427 - 0.668338i) q^{23} +(1.50185 - 2.60128i) q^{24} +(-1.05137 + 4.88821i) q^{25} +(-3.42207 + 1.97574i) q^{26} +(0.707107 - 0.707107i) q^{27} +(-2.11531 + 1.55587i) q^{28} +6.14396i q^{29} +(-1.74597 + 1.41037i) q^{30} +(-1.71173 - 0.988266i) q^{31} +(4.80410 - 1.28726i) q^{32} +(-0.922863 + 3.44417i) q^{33} -0.526321 q^{34} +(5.70731 - 1.55774i) q^{35} +0.992492 q^{36} +(-0.0409435 + 0.152803i) q^{37} +(3.99817 - 1.07131i) q^{38} +(-3.40930 - 1.96836i) q^{39} +(-6.67884 - 0.710134i) q^{40} -8.28475i q^{41} +(2.43236 + 1.06593i) q^{42} +(9.01253 - 9.01253i) q^{43} +(-3.06477 + 1.76945i) q^{44} +(-2.08658 - 0.803857i) q^{45} +(-1.29597 + 2.24468i) q^{46} +(-5.19095 - 1.39091i) q^{47} +(-0.728304 - 0.728304i) q^{48} +(-4.74453 - 5.14679i) q^{49} +(4.46621 + 2.28926i) q^{50} +(-0.262178 - 0.454106i) q^{51} +(-1.01125 - 3.77403i) q^{52} +(-1.48765 - 5.55200i) q^{53} +(-0.501874 - 0.869271i) q^{54} +(7.87641 - 1.23775i) q^{55} +(2.89138 + 7.40241i) q^{56} +(2.91594 + 2.91594i) q^{57} +(5.95685 + 1.59613i) q^{58} +(-1.30044 + 2.25243i) q^{59} +(-0.900212 - 2.02850i) q^{60} +(8.67653 - 5.00940i) q^{61} +(-1.40286 + 1.40286i) q^{62} +(0.291963 + 2.62959i) q^{63} -7.05216i q^{64} +(-0.930716 + 8.75343i) q^{65} +(3.09953 + 1.78951i) q^{66} +(5.32418 - 1.42661i) q^{67} +(0.134694 - 0.502686i) q^{68} -2.58226 q^{69} +(-0.0276056 - 5.93818i) q^{70} -7.23274 q^{71} +(0.777416 - 2.90136i) q^{72} +(-14.8625 + 3.98240i) q^{73} +(0.137513 + 0.0793931i) q^{74} +(0.249614 + 4.99377i) q^{75} +4.09280i q^{76} +(-5.58969 - 7.59955i) q^{77} +(-2.79411 + 2.79411i) q^{78} +(13.1146 - 7.57171i) q^{79} +(-0.827954 + 2.14913i) q^{80} +(0.500000 - 0.866025i) q^{81} +(-8.03244 - 2.15229i) q^{82} +(9.42372 + 9.42372i) q^{83} +(-1.64054 + 2.05034i) q^{84} +(-0.690321 + 0.947735i) q^{85} +(-6.39670 - 11.0794i) q^{86} +(1.59017 + 5.93461i) q^{87} +(2.77201 + 10.3453i) q^{88} +(5.52672 + 9.57257i) q^{89} +(-1.32145 + 1.81420i) q^{90} +(9.70175 - 3.78950i) q^{91} +(-1.81222 - 1.81222i) q^{92} +(-1.90918 - 0.511564i) q^{93} +(-2.69710 + 4.67152i) q^{94} +(3.31491 - 8.60455i) q^{95} +(4.30724 - 2.48679i) q^{96} +(-2.48828 + 2.48828i) q^{97} +(-6.22262 + 3.26295i) q^{98} +3.56567i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q - 12 q^{5} + 8 q^{7} - 24 q^{8}+O(q^{10}) $ 32 * q - 12 * q^5 + 8 * q^7 - 24 * q^8	$ 32 q - 12 q^{5} + 8 q^{7} - 24 q^{8} - 12 q^{10} - 8 q^{11} - 8 q^{15} - 8 q^{21} - 8 q^{22} - 8 q^{23} + 12 q^{25} + 24 q^{26} - 24 q^{28} + 8 q^{30} + 24 q^{31} + 24 q^{32} - 36 q^{33} + 44 q^{35} - 32 q^{36} + 4 q^{37} + 12 q^{38} + 12 q^{40} + 16 q^{42} + 40 q^{43} - 40 q^{46} - 60 q^{47} + 72 q^{50} - 8 q^{51} - 108 q^{52} - 24 q^{53} - 48 q^{56} + 16 q^{57} + 4 q^{58} + 20 q^{60} - 24 q^{61} + 4 q^{63} - 4 q^{65} + 72 q^{66} + 8 q^{67} + 132 q^{68} + 4 q^{70} - 16 q^{71} + 12 q^{72} + 36 q^{73} + 48 q^{75} + 60 q^{77} + 80 q^{78} - 12 q^{80} + 16 q^{81} + 12 q^{82} - 72 q^{85} - 16 q^{86} - 24 q^{87} - 32 q^{88} - 24 q^{91} - 56 q^{92} - 24 q^{93} - 12 q^{95} - 72 q^{98}+O(q^{100}) $ 32 * q - 12 * q^5 + 8 * q^7 - 24 * q^8 - 12 * q^10 - 8 * q^11 - 8 * q^15 - 8 * q^21 - 8 * q^22 - 8 * q^23 + 12 * q^25 + 24 * q^26 - 24 * q^28 + 8 * q^30 + 24 * q^31 + 24 * q^32 - 36 * q^33 + 44 * q^35 - 32 * q^36 + 4 * q^37 + 12 * q^38 + 12 * q^40 + 16 * q^42 + 40 * q^43 - 40 * q^46 - 60 * q^47 + 72 * q^50 - 8 * q^51 - 108 * q^52 - 24 * q^53 - 48 * q^56 + 16 * q^57 + 4 * q^58 + 20 * q^60 - 24 * q^61 + 4 * q^63 - 4 * q^65 + 72 * q^66 + 8 * q^67 + 132 * q^68 + 4 * q^70 - 16 * q^71 + 12 * q^72 + 36 * q^73 + 48 * q^75 + 60 * q^77 + 80 * q^78 - 12 * q^80 + 16 * q^81 + 12 * q^82 - 72 * q^85 - 16 * q^86 - 24 * q^87 - 32 * q^88 - 24 * q^91 - 56 * q^92 - 24 * q^93 - 12 * q^95 - 72 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/105\mathbb{Z}\right)^\times$.

$n$	$22$	$31$	$71$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{1}{6}\right)$	$1$

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 $

$2$	0.259789	−	0.969545i	0.183698	−	0.685572i	−0.811207	−	0.584759i	$-0.801189\pi$
$2$	0.259789	−	0.969545i	0.183698	−	0.685572i	0.994905	−	0.100813i	$-0.0321443\pi$
$3$	0.965926	−	0.258819i	0.557678	−	0.149429i
$3$	0.965926	−	0.258819i	0.557678	−	0.149429i
$4$	0.859523	+	0.496246i	0.429762	+	0.248123i
$5$	−1.40510	−	1.73945i	−0.628381	−	0.777906i
$5$	−1.40510	−	1.73945i	−0.628381	−	0.777906i
$6$		−	1.00375i		−	0.409778i
$7$	−1.06195	+	2.42328i	−0.401379	+	0.915912i
$7$	−1.06195	+	2.42328i	−0.401379	+	0.915912i
$8$	2.12394	−	2.12394i	0.750926	−	0.750926i
$9$	0.866025	−	0.500000i	0.288675	−	0.166667i
$10$	−2.05151	+	0.910421i	−0.648743	+	0.287900i
$11$	−1.78283	+	3.08796i	−0.537545	+	0.931054i	0.461491	+	0.887145i	$0.347315\pi$
$11$	−1.78283	+	3.08796i	−0.537545	+	0.931054i	−0.999036	+	0.0439095i	$0.986019\pi$
$12$	0.958673	+	0.256876i	0.276745	+	0.0741536i
$13$	−2.78368	−	2.78368i	−0.772054	−	0.772054i	0.206411	−	0.978465i	$-0.433822\pi$
$13$	−2.78368	−	2.78368i	−0.772054	−	0.772054i	−0.978465	+	0.206411i	$0.933822\pi$
$14$	2.07359	+	1.65915i	0.554191	+	0.443426i
$15$	−1.80743	−	1.31651i	−0.466676	−	0.339922i
$16$	−0.514988	−	0.891986i	−0.128747	−	0.222997i
$17$	−0.135713	−	0.506489i	−0.0329153	−	0.122842i	0.947513	−	0.319716i	$-0.103588\pi$
$17$	−0.135713	−	0.506489i	−0.0329153	−	0.122842i	−0.980429	+	0.196874i	$0.936921\pi$
$18$	−0.259789	−	0.969545i	−0.0612328	−	0.228524i
$19$	2.06188	+	3.57128i	0.473028	+	0.819308i	0.999523	−	0.0308699i	$-0.00982775\pi$
$19$	2.06188	+	3.57128i	0.473028	+	0.819308i	−0.526496	+	0.850178i	$0.676494\pi$
$20$	−0.344523	−	2.19237i	−0.0770377	−	0.490230i
$21$	−0.398574	+	2.61556i	−0.0869761	+	0.570761i
$22$	2.53075	+	2.53075i	0.539559	+	0.539559i
$23$	−2.49427	−	0.668338i	−0.520092	−	0.139358i	−0.0107826	−	0.999942i	$-0.503432\pi$
$23$	−2.49427	−	0.668338i	−0.520092	−	0.139358i	−0.509309	+	0.860584i	$0.670099\pi$
$24$	1.50185	−	2.60128i	0.306564	−	0.530985i
$25$	−1.05137	+	4.88821i	−0.210275	+	0.977642i
$26$	−3.42207	+	1.97574i	−0.671124	+	0.387474i
$27$	0.707107	−	0.707107i	0.136083	−	0.136083i
$28$	−2.11531	+	1.55587i	−0.399756	+	0.294032i
$29$			6.14396i			1.14091i	0.821331	+	0.570453i	$0.193232\pi$
$29$			6.14396i			1.14091i	−0.821331	+	0.570453i	$0.806768\pi$
$30$	−1.74597	+	1.41037i	−0.318769	+	0.257497i
$31$	−1.71173	−	0.988266i	−0.307435	−	0.177498i	0.338343	−	0.941023i	$-0.390134\pi$
$31$	−1.71173	−	0.988266i	−0.307435	−	0.177498i	−0.645778	+	0.763525i	$0.723467\pi$
$32$	4.80410	−	1.28726i	0.849253	−	0.227557i
$33$	−0.922863	+	3.44417i	−0.160650	+	0.599553i
$34$	−0.526321			−0.0902633
$35$	5.70731	−	1.55774i	0.964712	−	0.263307i
$36$	0.992492			0.165415
$37$	−0.0409435	+	0.152803i	−0.00673106	+	0.0251207i	−0.969210	−	0.246237i	$-0.920806\pi$
$37$	−0.0409435	+	0.152803i	−0.00673106	+	0.0251207i	0.962479	+	0.271357i	$0.0874726\pi$
$38$	3.99817	−	1.07131i	0.648589	−	0.173789i
$39$	−3.40930	−	1.96836i	−0.545925	−	0.315190i
$40$	−6.67884	−	0.710134i	−1.05602	−	0.112282i
$41$		−	8.28475i		−	1.29386i	−0.762549	−	0.646930i	$-0.776052\pi$
$41$		−	8.28475i		−	1.29386i	0.762549	−	0.646930i	$-0.223948\pi$
$42$	2.43236	+	1.06593i	0.375321	+	0.164476i
$43$	9.01253	−	9.01253i	1.37440	−	1.37440i	0.520594	−	0.853805i	$-0.325711\pi$
$43$	9.01253	−	9.01253i	1.37440	−	1.37440i	0.853805	−	0.520594i	$-0.174289\pi$
$44$	−3.06477	+	1.76945i	−0.462032	+	0.266754i
$45$	−2.08658	−	0.803857i	−0.311049	−	0.119832i
$46$	−1.29597	+	2.24468i	−0.191080	+	0.330960i
$47$	−5.19095	−	1.39091i	−0.757178	−	0.202885i	−0.140478	−	0.990084i	$-0.544864\pi$
$47$	−5.19095	−	1.39091i	−0.757178	−	0.202885i	−0.616700	+	0.787198i	$0.711531\pi$
$48$	−0.728304	−	0.728304i	−0.105122	−	0.105122i
$49$	−4.74453	−	5.14679i	−0.677790	−	0.735256i
$50$	4.46621	+	2.28926i	0.631617	+	0.323750i
$51$	−0.262178	−	0.454106i	−0.0367123	−	0.0635875i
$52$	−1.01125	−	3.77403i	−0.140235	−	0.523363i
$53$	−1.48765	−	5.55200i	−0.204345	−	0.762626i	−0.989648	−	0.143514i	$-0.954160\pi$
$53$	−1.48765	−	5.55200i	−0.204345	−	0.762626i	0.785303	−	0.619111i	$-0.212507\pi$
$54$	−0.501874	−	0.869271i	−0.0682963	−	0.118293i
$55$	7.87641	−	1.23775i	1.06206	−	0.166898i
$56$	2.89138	+	7.40241i	0.386376	+	0.989188i
$57$	2.91594	+	2.91594i	0.386225	+	0.386225i
$58$	5.95685	+	1.59613i	0.782173	+	0.209583i
$59$	−1.30044	+	2.25243i	−0.169303	+	0.293242i	−0.938175	−	0.346161i	$-0.887485\pi$
$59$	−1.30044	+	2.25243i	−0.169303	+	0.293242i	0.768872	+	0.639403i	$0.220818\pi$
$60$	−0.900212	−	2.02850i	−0.116217	−	0.261878i
$61$	8.67653	−	5.00940i	1.11092	−	0.641387i	0.171849	−	0.985123i	$-0.445026\pi$
$61$	8.67653	−	5.00940i	1.11092	−	0.641387i	0.939066	+	0.343736i	$0.111692\pi$
$62$	−1.40286	+	1.40286i	−0.178163	+	0.178163i
$63$	0.291963	+	2.62959i	0.0367838	+	0.331298i
$64$		−	7.05216i		−	0.881521i
$65$	−0.930716	+	8.75343i	−0.115441	+	1.08573i
$66$	3.09953	+	1.78951i	0.381526	+	0.220274i
$67$	5.32418	−	1.42661i	0.650452	−	0.174288i	0.0815189	−	0.996672i	$-0.474023\pi$
$67$	5.32418	−	1.42661i	0.650452	−	0.174288i	0.568933	+	0.822384i	$0.307356\pi$
$68$	0.134694	−	0.502686i	0.0163341	−	0.0609596i
$69$	−2.58226			−0.310868
$70$	−0.0276056	−	5.93818i	−0.00329950	−	0.709749i
$71$	−7.23274			−0.858369			−0.429184	−	0.903217i	$-0.641199\pi$
$71$	−7.23274			−0.858369			−0.429184	+	0.903217i	$0.641199\pi$
$72$	0.777416	−	2.90136i	0.0916194	−	0.341928i
$73$	−14.8625	+	3.98240i	−1.73953	+	0.466105i	−0.982342	−	0.187096i	$-0.940092\pi$
$73$	−14.8625	+	3.98240i	−1.73953	+	0.466105i	−0.757185	+	0.653201i	$0.773426\pi$
$74$	0.137513	+	0.0793931i	0.0159855	+	0.00922926i
$75$	0.249614	+	4.99377i	0.0288230	+	0.576630i
$76$			4.09280i			0.469476i
$77$	−5.58969	−	7.59955i	−0.637005	−	0.866049i
$78$	−2.79411	+	2.79411i	−0.316371	+	0.316371i
$79$	13.1146	−	7.57171i	1.47551	−	0.851884i	0.475888	−	0.879506i	$-0.342127\pi$
$79$	13.1146	−	7.57171i	1.47551	−	0.851884i	0.999618	+	0.0276214i	$0.00879330\pi$
$80$	−0.827954	+	2.14913i	−0.0925680	+	0.240280i
$81$	0.500000	−	0.866025i	0.0555556	−	0.0962250i
$82$	−8.03244	−	2.15229i	−0.887035	−	0.237680i
$83$	9.42372	+	9.42372i	1.03439	+	1.03439i	0.999387	+	0.0350007i	$0.0111434\pi$
$83$	9.42372	+	9.42372i	1.03439	+	1.03439i	0.0350007	+	0.999387i	$0.488857\pi$
$84$	−1.64054	+	2.05034i	−0.178998	+	0.223710i
$85$	−0.690321	+	0.947735i	−0.0748758	+	0.102796i
$86$	−6.39670	−	11.0794i	−0.689774	−	1.19472i
$87$	1.59017	+	5.93461i	0.170485	+	0.636257i
$88$	2.77201	+	10.3453i	0.295497	+	1.10281i
$89$	5.52672	+	9.57257i	0.585831	+	1.01469i	0.994771	+	0.102128i	$0.0325653\pi$
$89$	5.52672	+	9.57257i	0.585831	+	1.01469i	−0.408940	+	0.912561i	$0.634101\pi$
$90$	−1.32145	+	1.81420i	−0.139293	+	0.191234i
$91$	9.70175	−	3.78950i	1.01702	−	0.397247i
$92$	−1.81222	−	1.81222i	−0.188937	−	0.188937i
$93$	−1.90918	−	0.511564i	−0.197973	−	0.0530467i
$94$	−2.69710	+	4.67152i	−0.278185	+	0.481830i
$95$	3.31491	−	8.60455i	0.340103	−	0.882808i
$96$	4.30724	−	2.48679i	0.439606	−	0.253807i
$97$	−2.48828	+	2.48828i	−0.252647	+	0.252647i	−0.822055	−	0.569408i	$-0.807172\pi$
$97$	−2.48828	+	2.48828i	−0.252647	+	0.252647i	0.569408	+	0.822055i	$0.307172\pi$
$98$	−6.22262	+	3.26295i	−0.628580	+	0.329608i
$99$			3.56567i			0.358363i
$100$	−3.32943	+	3.67979i	−0.332943	+	0.367979i
$101$	0.739502	+	0.426952i	0.0735832	+	0.0424833i	0.536340	−	0.844002i	$-0.319806\pi$
$101$	0.739502	+	0.426952i	0.0735832	+	0.0424833i	−0.462757	+	0.886485i	$0.653140\pi$
$102$	−0.508387	+	0.136222i	−0.0503378	+	0.0134880i
$103$	−1.57114	+	5.86357i	−0.154809	+	0.577755i	0.844313	+	0.535851i	$0.180009\pi$
$103$	−1.57114	+	5.86357i	−0.154809	+	0.577755i	−0.999122	+	0.0419040i	$0.986658\pi$
$104$	−11.8247			−1.15951
$105$	5.10967	−	2.98183i	0.498653	−	0.290996i
$106$	−5.76939			−0.560373
$107$	−3.02740	+	11.2984i	−0.292670	+	1.09226i	0.650381	+	0.759608i	$0.274609\pi$
$107$	−3.02740	+	11.2984i	−0.292670	+	1.09226i	−0.943051	+	0.332650i	$0.892057\pi$
$108$	0.958673	−	0.256876i	0.0922484	−	0.0247179i
$109$	−10.8565	−	6.26802i	−1.03987	−	0.600367i	−0.120071	−	0.992765i	$-0.538312\pi$
$109$	−10.8565	−	6.26802i	−1.03987	−	0.600367i	−0.919796	+	0.392398i	$0.871646\pi$
$110$	0.846151	−	7.95809i	0.0806773	−	0.758774i
$111$			0.158193i			0.0150151i
$112$	2.70842	−	0.300715i	0.255922	−	0.0284149i
$113$	−7.25767	+	7.25767i	−0.682744	+	0.682744i	−0.960618	−	0.277874i	$-0.910370\pi$
$113$	−7.25767	+	7.25767i	−0.682744	+	0.682744i	0.277874	+	0.960618i	$0.410370\pi$
$114$	3.58466	−	2.06961i	0.335734	−	0.193836i
$115$	2.34217	+	5.27774i	0.218408	+	0.492152i
$116$	−3.04892	+	5.28088i	−0.283085	+	0.490317i
$117$	−3.80258	−	1.01890i	−0.351549	−	0.0941971i
$118$	1.84600	+	1.84600i	0.169938	+	0.169938i
$119$	1.37148	+	0.208995i	0.125724	+	0.0191585i
$120$	−6.63506	+	1.04267i	−0.605696	+	0.0951828i
$121$	−0.856990	−	1.48435i	−0.0779082	−	0.134941i
$122$	−2.60277	−	9.71367i	−0.235644	−	0.879435i
$123$	−2.14425	−	8.00245i	−0.193341	−	0.721557i
$124$	−0.980846	−	1.69887i	−0.0880825	−	0.152563i
$125$	9.98009	−	5.03963i	0.892646	−	0.450758i
$126$	2.62536	+	0.400068i	0.233885	+	0.0356409i
$127$	−1.06249	−	1.06249i	−0.0942804	−	0.0942804i	0.658393	−	0.752674i	$-0.271236\pi$
$127$	−1.06249	−	1.06249i	−0.0942804	−	0.0942804i	−0.752674	+	0.658393i	$0.771236\pi$
$128$	2.77081	+	0.742437i	0.244908	+	0.0656228i
$129$	6.37282	−	11.0381i	0.561096	−	0.971846i
$130$	8.24506	+	3.17642i	0.723139	+	0.278590i
$131$	10.3808	−	5.99337i	0.906976	−	0.523643i	0.0275190	−	0.999621i	$-0.491239\pi$
$131$	10.3808	−	5.99337i	0.906976	−	0.523643i	0.879457	+	0.475979i	$0.157906\pi$
$132$	−2.50238	+	2.50238i	−0.217804	+	0.217804i
$133$	−10.8438	+	1.20398i	−0.940277	+	0.104399i
$134$		−	5.53265i		−	0.477948i
$135$	−2.22353	−	0.236419i	−0.191371	−	0.0203477i
$136$	−1.36400	−	0.787505i	−0.116962	−	0.0675280i
$137$	−6.10553	+	1.63597i	−0.521630	+	0.139770i	−0.510021	−	0.860162i	$-0.670362\pi$
$137$	−6.10553	+	1.63597i	−0.521630	+	0.139770i	−0.0116098	+	0.999933i	$0.503696\pi$
$138$	−0.670842	+	2.50362i	−0.0571059	+	0.213122i
$139$	5.07872			0.430772			0.215386	−	0.976529i	$-0.430899\pi$
$139$	5.07872			0.430772			0.215386	+	0.976529i	$0.430899\pi$
$140$	5.67859	+	1.49332i	0.479929	+	0.126208i
$141$	−5.37407			−0.452578
$142$	−1.87899	+	7.01247i	−0.157681	+	0.588474i
$143$	13.5587	−	3.63305i	1.13384	−	0.303811i
$144$	−0.891986	−	0.514988i	−0.0743322	−	0.0429157i
$145$	10.6871	−	8.63290i	0.887517	−	0.716923i
$146$			15.4445i			1.27819i
$147$	−5.91495	−	3.74344i	−0.487857	−	0.308754i
$148$	−0.111020	+	0.111020i	−0.00912577	+	0.00912577i
$149$	13.1991	−	7.62048i	1.08131	−	0.624294i	0.150060	−	0.988677i	$-0.452053\pi$
$149$	13.1991	−	7.62048i	1.08131	−	0.624294i	0.931249	+	0.364383i	$0.118720\pi$
$150$	4.90653	+	1.05531i	0.400616	+	0.0861659i
$151$	−7.46500	+	12.9298i	−0.607493	+	1.05221i	0.384159	+	0.923267i	$0.374491\pi$
$151$	−7.46500	+	12.9298i	−0.607493	+	1.05221i	−0.991652	+	0.128942i	$0.958842\pi$
$152$	11.9645	+	3.20588i	0.970449	+	0.260031i
$153$	−0.370776	−	0.370776i	−0.0299754	−	0.0299754i
$154$	−8.82025	+	3.44518i	−0.710756	+	0.277621i
$155$	0.686113	+	4.36608i	0.0551099	+	0.350692i
$156$	−1.95358	−	3.38370i	−0.156412	−	0.270913i
$157$	1.70656	+	6.36897i	0.136198	+	0.508299i	0.999990	+	0.00445019i	$0.00141654\pi$
$157$	1.70656	+	6.36897i	0.136198	+	0.508299i	−0.863792	+	0.503849i	$0.831917\pi$
$158$	−3.93409	−	14.6822i	−0.312980	−	1.16806i
$159$	−2.87393	−	4.97779i	−0.227917	−	0.394764i
$160$	−8.98937	−	6.54777i	−0.710672	−	0.517647i
$161$	4.26836	−	5.33457i	0.336394	−	0.420423i
$162$	−0.709756	−	0.709756i	−0.0557637	−	0.0557637i
$163$	−1.35039	−	0.361835i	−0.105770	−	0.0283411i	0.205546	−	0.978648i	$-0.434103\pi$
$163$	−1.35039	−	0.361835i	−0.105770	−	0.0283411i	−0.311316	+	0.950306i	$0.600770\pi$
$164$	4.11127	−	7.12093i	0.321036	−	0.556051i
$165$	7.28768	−	3.23414i	0.567345	−	0.251777i
$166$	11.5849	−	6.68855i	0.899163	−	0.519132i
$167$	−4.18179	+	4.18179i	−0.323597	+	0.323597i	−0.850145	−	0.526548i	$-0.823486\pi$
$167$	−4.18179	+	4.18179i	−0.323597	+	0.323597i	0.526548	+	0.850145i	$0.323486\pi$
$168$	4.70874	+	6.40183i	0.363287	+	0.493912i
$169$			2.49776i			0.192135i
$170$	0.739535	+	0.915509i	0.0567197	+	0.0702163i
$171$	3.57128	+	2.06188i	0.273103	+	0.157676i
$172$	12.2189	−	3.27405i	0.931683	−	0.249644i
$173$	−0.619668	+	2.31263i	−0.0471125	+	0.175826i	−0.985473	−	0.169832i	$-0.945678\pi$
$173$	−0.619668	+	2.31263i	−0.0471125	+	0.175826i	0.938361	+	0.345658i	$0.112344\pi$
$174$	6.16698			0.467518
$175$	−10.7290	−	7.73880i	−0.811035	−	0.584998i
$176$	3.67255			0.276829
$177$	−0.673159	+	2.51226i	−0.0505977	+	0.188833i
$178$	10.7168	−	2.87156i	0.803259	−	0.215233i
$179$	1.63071	+	0.941493i	0.121885	+	0.0703705i	0.559703	−	0.828693i	$-0.310915\pi$
$179$	1.63071	+	0.941493i	0.121885	+	0.0703705i	−0.437818	+	0.899064i	$0.644249\pi$
$180$	−1.39455	−	1.72639i	−0.103944	−	0.128677i
$181$			17.7439i			1.31889i	0.751751	+	0.659447i	$0.229209\pi$
$181$			17.7439i			1.31889i	−0.751751	+	0.659447i	$0.770791\pi$
$182$	−1.15368	−	10.3908i	−0.0855166	−	0.770214i
$183$	7.08436	−	7.08436i	0.523691	−	0.523691i
$184$	−6.71719	+	3.87817i	−0.495198	+	0.285903i
$185$	0.323323	−	0.143485i	0.0237712	−	0.0105492i
$186$	−0.991969	+	1.71814i	−0.0727347	+	0.125980i
$187$	1.80597	+	0.483908i	0.132066	+	0.0353869i
$188$	−3.77151	−	3.77151i	−0.275066	−	0.275066i
$189$	0.962603	+	2.46443i	0.0700191	+	0.179261i
$190$	−7.48133	−	5.44932i	−0.542752	−	0.395335i
$191$	−5.37301	−	9.30633i	−0.388778	−	0.673382i	0.603508	−	0.797357i	$-0.293769\pi$
$191$	−5.37301	−	9.30633i	−0.388778	−	0.673382i	−0.992285	+	0.123975i	$0.960436\pi$
$192$	−1.82523	−	6.81187i	−0.131725	−	0.491604i
$193$	−0.833614	−	3.11109i	−0.0600049	−	0.223941i	0.929412	−	0.369045i	$-0.120315\pi$
$193$	−0.833614	−	3.11109i	−0.0600049	−	0.223941i	−0.989416	+	0.145104i	$0.953648\pi$
$194$	1.76607	+	3.05893i	0.126797	+	0.219618i
$195$	1.36655	+	8.69605i	0.0978608	+	0.622737i
$196$	−1.52396	−	6.77824i	−0.108854	−	0.484160i
$197$	−10.9317	−	10.9317i	−0.778852	−	0.778852i	0.200784	−	0.979636i	$-0.435651\pi$
$197$	−10.9317	−	10.9317i	−0.778852	−	0.778852i	−0.979636	+	0.200784i	$0.935651\pi$
$198$	3.45708	+	0.926321i	0.245684	+	0.0658307i
$199$	−6.19974	+	10.7383i	−0.439488	+	0.761215i	−0.997650	−	0.0685166i	$-0.978173\pi$
$199$	−6.19974	+	10.7383i	−0.439488	+	0.761215i	0.558162	+	0.829732i	$0.311507\pi$
$200$	8.14922	+	12.6153i	0.576237	+	0.892038i
$201$	4.77353	−	2.75600i	0.336699	−	0.194393i
$202$	0.606063	−	0.606063i	0.0426425	−	0.0426425i
$203$	−14.8885	−	6.52458i	−1.04497	−	0.457935i
$204$		−	0.520419i		−	0.0364366i
$205$	−14.4109	+	11.6409i	−1.00650	+	0.813037i
$206$	5.27683	+	3.04658i	0.367654	+	0.212265i
$207$	−2.49427	+	0.668338i	−0.173364	+	0.0464527i
$208$	−1.04944	+	3.91657i	−0.0727657	+	0.271565i
$209$	−14.7040			−1.01709
$210$	−1.56358	−	5.72870i	−0.107897	−	0.395318i
$211$	−13.4216			−0.923982			−0.461991	−	0.886885i	$-0.652865\pi$
$211$	−13.4216			−0.923982			−0.461991	+	0.886885i	$0.652865\pi$
$212$	1.47648	−	5.51031i	0.101405	−	0.378450i
$213$	−6.98629	+	1.87197i	−0.478693	+	0.128265i
$214$	10.1678	+	5.87040i	0.695058	+	0.401292i
$215$	−28.3404	−	3.01332i	−1.93280	−	0.205506i
$216$		−	3.00370i		−	0.204376i
$217$	4.21261	−	3.09850i	0.285970	−	0.210340i
$218$	−8.89753	+	8.89753i	−0.602617	+	0.602617i
$219$	−13.3254	+	7.69341i	−0.900445	+	0.519872i
$220$	7.38419	+	2.84476i	0.497842	+	0.191794i
$221$	−1.03212	+	1.78769i	−0.0694280	+	0.120253i
$222$	0.153376	+	0.0410969i	0.0102939	+	0.00275824i
$223$	1.60905	+	1.60905i	0.107750	+	0.107750i	0.758927	−	0.651176i	$-0.225724\pi$
$223$	1.60905	+	1.60905i	0.107750	+	0.107750i	−0.651176	+	0.758927i	$0.725724\pi$
$224$	−1.98234	+	13.0087i	−0.132451	+	0.869178i
$225$	1.53359	+	4.75900i	0.102239	+	0.317267i
$226$	5.15118	+	8.92210i	0.342651	+	0.593489i
$227$	6.67262	+	24.9026i	0.442878	+	1.65284i	0.721480	+	0.692435i	$0.243462\pi$
$227$	6.67262	+	24.9026i	0.442878	+	1.65284i	−0.278603	+	0.960407i	$0.589871\pi$
$228$	1.05929	+	3.95334i	0.0701534	+	0.261816i
$229$	−0.669566	−	1.15972i	−0.0442462	−	0.0766366i	0.843054	−	0.537829i	$-0.180755\pi$
$229$	−0.669566	−	1.15972i	−0.0442462	−	0.0766366i	−0.887300	+	0.461192i	$0.847422\pi$
$230$	5.72548	−	0.899738i	0.377527	−	0.0593270i
$231$	−7.36614	−	5.89388i	−0.484656	−	0.387789i
$232$	13.0494	+	13.0494i	0.856736	+	0.856736i
$233$	20.7283	+	5.55413i	1.35796	+	0.363863i	0.863065	−	0.505093i	$-0.168542\pi$
$233$	20.7283	+	5.55413i	1.35796	+	0.363863i	0.494890	+	0.868956i	$0.335208\pi$
$234$	−1.97574	+	3.42207i	−0.129158	+	0.223708i
$235$	4.87440	+	10.9838i	0.317971	+	0.716502i
$236$	−2.23552	+	1.29068i	−0.145520	+	0.0840161i
$237$	10.7080	−	10.7080i	0.695561	−	0.695561i
$238$	0.558926	−	1.27542i	0.0362298	−	0.0826732i
$239$		−	12.8433i		−	0.830767i	−0.909646	−	0.415384i	$-0.863647\pi$
$239$		−	12.8433i		−	0.830767i	0.909646	−	0.415384i	$-0.136353\pi$
$240$	−0.243506	+	2.29019i	−0.0157183	+	0.147831i
$241$	−22.0766	−	12.7459i	−1.42208	−	0.821036i	−0.425601	−	0.904911i	$-0.639937\pi$
$241$	−22.0766	−	12.7459i	−1.42208	−	0.821036i	−0.996476	+	0.0838747i	$0.973270\pi$
$242$	−1.66178	+	0.445273i	−0.106823	+	0.0286232i
$243$	0.258819	−	0.965926i	0.0166032	−	0.0619642i
$244$	9.94357			0.636572
$245$	−2.28604	+	15.4846i	−0.146050	+	0.989277i
$246$	−8.31579			−0.530196
$247$	4.20169	−	15.6809i	0.267347	−	0.997753i
$248$	−5.73462	+	1.53659i	−0.364149	+	0.0975734i
$249$	11.5417	+	6.66358i	0.731423	+	0.422287i
$250$	−2.29343	−	10.9854i	−0.145049	−	0.694777i
$251$		−	12.0858i		−	0.762849i	−0.924400	−	0.381425i	$-0.875434\pi$
$251$		−	12.0858i		−	0.762849i	0.924400	−	0.381425i	$-0.124566\pi$
$252$	−1.05398	+	2.40508i	−0.0663942	+	0.151506i
$253$	6.51067	−	6.51067i	0.409322	−	0.409322i
$254$	−1.30615	+	0.754106i	−0.0819552	+	0.0473168i
$255$	−0.421507	+	1.09411i	−0.0263958	+	0.0685158i
$256$	8.49182	−	14.7083i	0.530739	−	0.919266i
$257$	10.0104	+	2.68228i	0.624431	+	0.167316i	0.557141	−	0.830418i	$-0.311898\pi$
$257$	10.0104	+	2.68228i	0.624431	+	0.167316i	0.0672896	+	0.997733i	$0.478565\pi$
$258$	−9.04630	−	9.04630i	−0.563198	−	0.563198i
$259$	−0.326804	−	0.261486i	−0.0203066	−	0.0162480i
$260$	−5.14383	+	7.06191i	−0.319007	+	0.437961i
$261$	3.07198	+	5.32083i	0.190151	+	0.329351i
$262$	−3.11402	−	11.6217i	−0.192385	−	0.717990i
$263$	−2.05827	−	7.68155i	−0.126918	−	0.473665i	0.872983	−	0.487751i	$-0.162183\pi$
$263$	−2.05827	−	7.68155i	−0.126918	−	0.473665i	−0.999901	+	0.0140863i	$0.995516\pi$
$264$	5.35511	+	9.27532i	0.329584	+	0.570856i
$265$	−7.56712	+	10.3888i	−0.464844	+	0.638181i
$266$	−1.64978	+	10.8263i	−0.101155	+	0.663806i
$267$	7.81597	+	7.81597i	0.478329	+	0.478329i
$268$	5.28421	+	1.41590i	0.322784	+	0.0864898i
$269$	−0.857638	+	1.48547i	−0.0522911	+	0.0905709i	−0.890986	−	0.454030i	$-0.849986\pi$
$269$	−0.857638	+	1.48547i	−0.0522911	+	0.0905709i	0.838695	+	0.544601i	$0.183319\pi$
$270$	−0.806869	+	2.09440i	−0.0491045	+	0.127461i
$271$	−10.0645	+	5.81076i	−0.611377	+	0.352979i	−0.773504	−	0.633791i	$-0.781498\pi$
$271$	−10.0645	+	5.81076i	−0.611377	+	0.352979i	0.162127	+	0.986770i	$0.448164\pi$
$272$	−0.381890	+	0.381890i	−0.0231555	+	0.0231555i
$273$	8.39038	−	6.17137i	0.507809	−	0.373508i
$274$			6.34459i			0.383291i
$275$	−13.2202	−	11.9615i	−0.797206	−	0.721303i
$276$	−2.21951	−	1.28144i	−0.133599	−	0.0771334i
$277$	−8.83410	+	2.36709i	−0.530790	+	0.142225i	−0.514253	−	0.857639i	$-0.671931\pi$
$277$	−8.83410	+	2.36709i	−0.530790	+	0.142225i	−0.0165369	+	0.999863i	$0.505264\pi$
$278$	1.31940	−	4.92405i	0.0791321	−	0.295325i
$279$	−1.97653			−0.118332
$280$	8.81344	−	15.4305i	0.526704	−	0.922152i
$281$	15.0644			0.898669			0.449334	−	0.893364i	$-0.351661\pi$
$281$	15.0644			0.898669			0.449334	+	0.893364i	$0.351661\pi$
$282$	−1.39612	+	5.21040i	−0.0831379	+	0.310275i
$283$	15.4679	−	4.14461i	0.919470	−	0.246371i	0.232111	−	0.972689i	$-0.425437\pi$
$283$	15.4679	−	4.14461i	0.919470	−	0.246371i	0.687359	+	0.726318i	$0.258770\pi$
$284$	−6.21671	−	3.58922i	−0.368894	−	0.212981i
$285$	0.974936	−	9.16932i	0.0577502	−	0.543144i
$286$		−	14.0896i		−	0.833137i
$287$	20.0762	+	8.79798i	1.18506	+	0.519329i
$288$	3.51685	−	3.51685i	0.207232	−	0.207232i
$289$	14.4843	−	8.36253i	0.852019	−	0.491913i
$290$	−5.59359	−	12.6044i	−0.328467	−	0.740154i
$291$	−1.75948	+	3.04751i	−0.103143	+	0.178648i
$292$	−14.7509	−	3.95250i	−0.863233	−	0.231302i
$293$	6.20477	+	6.20477i	0.362487	+	0.362487i	0.864728	−	0.502241i	$-0.167491\pi$
$293$	6.20477	+	6.20477i	0.362487	+	0.362487i	−0.502241	+	0.864728i	$0.667491\pi$
$294$	−5.16608	+	4.76231i	−0.301292	+	0.277743i
$295$	5.74525	−	0.902845i	0.334502	−	0.0525657i
$296$	0.237583	+	0.411506i	0.0138092	+	0.0239183i
$297$	0.922863	+	3.44417i	0.0535499	+	0.199851i
$298$	−3.95943	−	14.7768i	−0.229364	−	0.855997i
$299$	5.08282	+	8.80370i	0.293947	+	0.509131i
$300$	−2.26359	+	4.41613i	−0.130688	+	0.254965i
$301$	12.2690	+	31.4107i	0.707173	+	1.81048i
$302$	10.5967	+	10.5967i	0.609769	+	0.609769i
$303$	0.824807	+	0.221006i	0.0473839	+	0.0126965i
$304$	2.12369	−	3.67834i	0.121802	−	0.210967i
$305$	−20.9050	−	8.05367i	−1.19702	−	0.461152i
$306$	−0.455807	+	0.263160i	−0.0260568	+	0.0150439i
$307$	6.26397	−	6.26397i	0.357504	−	0.357504i	−0.505388	−	0.862892i	$-0.668651\pi$
$307$	6.26397	−	6.26397i	0.357504	−	0.357504i	0.862892	+	0.505388i	$0.168651\pi$
$308$	−1.03322	−	9.30585i	−0.0588735	−	0.530250i
$309$			6.07042i			0.345334i
$310$	4.41135	+	0.469041i	0.250548	+	0.0266397i
$311$	−5.78463	−	3.33976i	−0.328016	−	0.189380i	0.326944	−	0.945044i	$-0.393981\pi$
$311$	−5.78463	−	3.33976i	−0.328016	−	0.189380i	−0.654960	+	0.755664i	$0.727315\pi$
$312$	−11.4218	+	3.06047i	−0.646633	+	0.173265i
$313$	−0.480011	+	1.79143i	−0.0271318	+	0.101257i	−0.978164	−	0.207835i	$-0.933358\pi$
$313$	−0.480011	+	1.79143i	−0.0271318	+	0.101257i	0.951032	+	0.309092i	$0.100025\pi$
$314$	6.61835			0.373495
$315$	4.16381	−	4.20270i	0.234604	−	0.236795i
$316$	15.0297			0.845488
$317$	−0.446453	+	1.66619i	−0.0250753	+	0.0935824i	−0.977329	−	0.211724i	$-0.932092\pi$
$317$	−0.446453	+	1.66619i	−0.0250753	+	0.0935824i	0.952254	+	0.305306i	$0.0987589\pi$
$318$	−5.57280	+	1.49323i	−0.312507	+	0.0837361i
$319$	−18.9723	−	10.9537i	−1.06224	−	0.613287i
$320$	−12.2669	+	9.90901i	−0.685740	+	0.553931i
$321$			11.6970i			0.652861i
$322$	−4.06323	−	5.52423i	−0.226435	−	0.307853i
$323$	1.52899	−	1.52899i	0.0850752	−	0.0850752i
$324$	0.859523	−	0.496246i	0.0477513	−	0.0275692i
$325$	16.5339	−	10.6805i	0.917136	−	0.592450i
$326$	−0.701630	+	1.21526i	−0.0388597	+	0.0673070i
$327$	−12.1089	−	3.24457i	−0.669623	−	0.179425i
$328$	−17.5963	−	17.5963i	−0.971594	−	0.971594i
$329$	8.88309	−	11.1020i	0.489741	−	0.612075i
$330$	−1.24239	−	7.90593i	−0.0683911	−	0.435207i
$331$	−13.0089	−	22.5320i	−0.715032	−	1.23847i	−0.962947	−	0.269690i	$-0.913079\pi$
$331$	−13.0089	−	22.5320i	−0.715032	−	1.23847i	0.247915	−	0.968782i	$-0.420255\pi$
$332$	3.42342	+	12.7764i	0.187885	+	0.701196i
$333$	0.0409435	+	0.152803i	0.00224369	+	0.00837356i
$334$	2.96806	+	5.14082i	0.162405	+	0.281293i
$335$	−9.96254	−	7.25661i	−0.544312	−	0.396471i
$336$	2.53830	−	0.991459i	0.138476	−	0.0540885i
$337$	−14.7150	−	14.7150i	−0.801579	−	0.801579i	0.181763	−	0.983342i	$-0.441820\pi$
$337$	−14.7150	−	14.7150i	−0.801579	−	0.801579i	−0.983342	+	0.181763i	$0.941820\pi$
$338$	2.42169	+	0.648890i	0.131723	+	0.0352950i
$339$	−5.13195	+	8.88879i	−0.278729	+	0.482773i
$340$	−1.06366	+	0.472031i	−0.0576849	+	0.0255995i
$341$	6.10345	−	3.52383i	0.330520	−	0.190826i
$342$	2.92686	−	2.92686i	0.158267	−	0.158267i
$343$	17.5105	−	6.03166i	0.945480	−	0.325679i
$344$		−	38.2842i		−	2.06414i
$345$	3.62834	+	4.49171i	0.195343	+	0.241826i
$346$	2.08122	+	1.20159i	0.111887	+	0.0645980i
$347$	12.3723	−	3.31515i	0.664181	−	0.177967i	0.0890489	−	0.996027i	$-0.471617\pi$
$347$	12.3723	−	3.31515i	0.664181	−	0.177967i	0.575132	+	0.818060i	$0.304951\pi$
$348$	−1.57823	+	5.89005i	−0.0846023	+	0.315740i
$349$	12.7510			0.682546			0.341273	−	0.939964i	$-0.389142\pi$
$349$	12.7510			0.682546			0.341273	+	0.939964i	$0.389142\pi$
$350$	−10.2904	+	8.39178i	−0.550044	+	0.448559i
$351$	−3.93672			−0.210127
$352$	−4.58992	+	17.1298i	−0.244644	+	0.913023i
$353$	−16.6743	+	4.46786i	−0.887483	+	0.237800i	−0.673633	−	0.739066i	$-0.735267\pi$
$353$	−16.6743	+	4.46786i	−0.887483	+	0.237800i	−0.213850	+	0.976866i	$0.568600\pi$
$354$	2.26087	+	1.30532i	0.120164	+	0.0693768i
$355$	10.1627	+	12.5810i	0.539383	+	0.667730i
$356$			10.9705i			0.581433i
$357$	1.37884	−	0.153092i	0.0729761	−	0.00810250i
$358$	1.33646	−	1.33646i	0.0706342	−	0.0706342i
$359$	−6.50719	+	3.75693i	−0.343437	+	0.198283i	−0.661791	−	0.749689i	$-0.730203\pi$
$359$	−6.50719	+	3.75693i	−0.343437	+	0.198283i	0.318354	+	0.947972i	$0.396870\pi$
$360$	−6.13911	+	2.72443i	−0.323560	+	0.143590i
$361$	0.997305	−	1.72738i	0.0524897	−	0.0909149i
$362$	17.2035	+	4.60967i	0.904197	+	0.242279i
$363$	−1.21197	−	1.21197i	−0.0636118	−	0.0636118i
$364$	10.2194	+	1.55729i	0.535642	+	0.0816244i
$365$	27.8105	+	20.2569i	1.45567	+	1.06030i
$366$	−5.02817	−	8.70904i	−0.262826	−	0.455229i
$367$	−1.78295	−	6.65407i	−0.0930693	−	0.347340i	0.903650	−	0.428271i	$-0.140877\pi$
$367$	−1.78295	−	6.65407i	−0.0930693	−	0.347340i	−0.996720	+	0.0809315i	$0.974210\pi$
$368$	0.688373	+	2.56904i	0.0358839	+	0.133921i
$369$	−4.14237	−	7.17480i	−0.215643	−	0.373505i
$370$	−0.0551194	−	0.350752i	−0.00286552	−	0.0182347i
$371$	15.0338	+	2.29095i	0.780518	+	0.118940i
$372$	−1.38713	−	1.38713i	−0.0719191	−	0.0719191i
$373$	−6.50499	−	1.74301i	−0.336816	−	0.0902494i	0.0864472	−	0.996256i	$-0.472449\pi$
$373$	−6.50499	−	1.74301i	−0.336816	−	0.0902494i	−0.423263	+	0.906007i	$0.639115\pi$
$374$	0.938342	−	1.62526i	0.0485205	−	0.0840400i
$375$	8.33567	−	7.45094i	0.430452	−	0.384765i
$376$	−13.9795	+	8.07106i	−0.720937	+	0.416233i
$377$	17.1028	−	17.1028i	0.880840	−	0.880840i
$378$	2.63945	−	0.293057i	0.135758	−	0.0150732i
$379$			37.6021i			1.93149i	0.259496	+	0.965744i	$0.416444\pi$
$379$			37.6021i			1.93149i	−0.259496	+	0.965744i	$0.583556\pi$
$380$	7.11922	−	5.75080i	0.365208	−	0.295010i
$381$	−1.30127	−	0.751291i	−0.0666663	−	0.0384898i
$382$	−10.4188	+	2.79170i	−0.533070	+	0.142836i
$383$	−4.00163	+	14.9343i	−0.204474	+	0.763106i	0.785136	+	0.619324i	$0.212593\pi$
$383$	−4.00163	+	14.9343i	−0.204474	+	0.763106i	−0.989609	+	0.143782i	$0.954073\pi$
$384$	2.86856			0.146385
$385$	−5.36495	+	20.4011i	−0.273423	+	1.03974i
$386$	−3.23291			−0.164551
$387$	3.29882	−	12.3113i	0.167688	−	0.625821i
$388$	−3.37353	+	0.903935i	−0.171265	+	0.0458904i
$389$	16.0657	+	9.27555i	0.814565	+	0.470289i	0.848539	−	0.529134i	$-0.177483\pi$
$389$	16.0657	+	9.27555i	0.814565	+	0.470289i	−0.0339739	+	0.999423i	$0.510816\pi$
$390$	8.78623	+	0.934204i	0.444908	+	0.0473052i
$391$			1.35402i			0.0684759i
$392$	−21.0086	−	0.854385i	−1.06109	−	0.0431530i
$393$	8.47590	−	8.47590i	0.427553	−	0.427553i
$394$	−13.4387	+	7.75885i	−0.677033	+	0.390885i
$395$	−31.5980	−	12.1731i	−1.58987	−	0.612497i
$396$	−1.76945	+	3.06477i	−0.0889181	+	0.154011i
$397$	−4.39567	−	1.17781i	−0.220612	−	0.0591128i	0.146820	−	0.989163i	$-0.453096\pi$
$397$	−4.39567	−	1.17781i	−0.220612	−	0.0591128i	−0.367432	+	0.930050i	$0.619763\pi$
$398$	8.80061	+	8.80061i	0.441135	+	0.441135i
$399$	−10.1627	+	3.96954i	−0.508771	+	0.198726i
$400$	4.90166	−	1.57956i	0.245083	−	0.0789781i
$401$	11.1701	+	19.3471i	0.557806	+	0.966148i	0.997679	+	0.0680885i	$0.0216900\pi$
$401$	11.1701	+	19.3471i	0.557806	+	0.966148i	−0.439873	+	0.898060i	$0.644977\pi$
$402$	−1.43196	−	5.34413i	−0.0714195	−	0.266541i
$403$	2.01388	+	7.51592i	0.100319	+	0.374395i
$404$	0.423746	+	0.733949i	0.0210821	+	0.0365153i
$405$	−2.20896	+	0.347130i	−0.109764	+	0.0172490i
$406$	−10.1937	+	12.7401i	−0.505907	+	0.632279i
$407$	−0.398854	−	0.398854i	−0.0197705	−	0.0197705i
$408$	−1.52134	−	0.407643i	−0.0753177	−	0.0201813i
$409$	3.04693	−	5.27744i	0.150661	−	0.260953i	−0.780810	−	0.624769i	$-0.785193\pi$
$409$	3.04693	−	5.27744i	0.150661	−	0.260953i	0.931471	+	0.363816i	$0.118526\pi$
$410$	7.54261	+	16.9962i	0.372503	+	0.839383i
$411$	−5.47407	+	3.16045i	−0.270016	+	0.155894i
$412$	−4.26020	+	4.26020i	−0.209885	+	0.209885i
$413$	−4.07726	−	5.54331i	−0.200629	−	0.272768i
$414$			2.59194i			0.127387i
$415$	3.15080	−	29.6334i	0.154667	−	1.45465i
$416$	−16.9564	−	9.78978i	−0.831356	−	0.479984i
$417$	4.90567	−	1.31447i	0.240232	−	0.0643699i
$418$	−3.81992	+	14.2561i	−0.186839	+	0.697291i
$419$	−23.3177			−1.13914			−0.569572	−	0.821942i	$-0.692891\pi$
$419$	−23.3177			−1.13914			−0.569572	+	0.821942i	$0.692891\pi$
$420$	5.87160	−	0.0272960i	0.286505	−	0.00133191i
$421$	−0.0119079			−0.000580356			−0.000290178	−	1.00000i	$-0.500092\pi$
$421$	−0.0119079			−0.000580356			−0.000290178		1.00000i	$0.500092\pi$
$422$	−3.48679	+	13.0129i	−0.169734	+	0.633456i
$423$	−5.19095	+	1.39091i	−0.252393	+	0.0676284i
$424$	−14.9518	−	8.63243i	−0.726124	−	0.419228i
$425$	2.61851	−	0.130887i	0.127016	−	0.00634894i
$426$			7.25985i			0.351741i
$427$	2.92511	+	26.3453i	0.141556	+	1.27494i
$428$	−8.20890	+	8.20890i	−0.396792	+	0.396792i
$429$	12.1564	−	7.01851i	0.586918	−	0.338857i
$430$	−10.2841	+	26.6945i	−0.495942	+	1.28732i
$431$	−9.44866	+	16.3656i	−0.455126	+	0.788301i	−0.998695	−	0.0510628i	$-0.983739\pi$
$431$	−9.44866	+	16.3656i	−0.455126	+	0.788301i	0.543569	+	0.839364i	$0.317072\pi$
$432$	−0.994881	−	0.266578i	−0.0478662	−	0.0128257i
$433$	−18.7716	−	18.7716i	−0.902105	−	0.902105i	0.0935133	−	0.995618i	$-0.470190\pi$
$433$	−18.7716	−	18.7716i	−0.902105	−	0.902105i	−0.995618	+	0.0935133i	$0.970190\pi$
$434$	−1.90974	−	4.88927i	−0.0916707	−	0.234692i
$435$	8.08860	−	11.1048i	0.387819	−	0.532433i
$436$	−6.22096	−	10.7750i	−0.297930	−	0.516029i
$437$	−2.75607	−	10.2858i	−0.131840	−	0.492035i
$438$	3.99732	+	14.9182i	0.190999	+	0.712820i
$439$	3.40990	+	5.90612i	0.162746	+	0.281884i	0.935852	−	0.352392i	$-0.114632\pi$
$439$	3.40990	+	5.90612i	0.162746	+	0.281884i	−0.773107	+	0.634276i	$0.781298\pi$
$440$	14.1001	−	19.3579i	0.672197	−	0.922853i
$441$	−6.68228	−	2.08499i	−0.318204	−	0.0992852i
$442$	1.46511	+	1.46511i	0.0696881	+	0.0696881i
$443$	−6.66435	−	1.78571i	−0.316633	−	0.0848415i	0.0970026	−	0.995284i	$-0.469074\pi$
$443$	−6.66435	−	1.78571i	−0.316633	−	0.0848415i	−0.413635	+	0.910443i	$0.635741\pi$
$444$	−0.0785028	+	0.135971i	−0.00372558	+	0.00645289i
$445$	8.88539	−	23.0639i	0.421208	−	1.09333i
$446$	1.97807	−	1.14204i	0.0936641	−	0.0540770i
$447$	10.7770	−	10.7770i	0.509734	−	0.509734i
$448$	17.0893	+	7.48904i	0.807395	+	0.353824i
$449$		−	27.2653i		−	1.28673i	−0.765560	−	0.643365i	$-0.777538\pi$
$449$		−	27.2653i		−	1.28673i	0.765560	−	0.643365i	$-0.222462\pi$
$450$	5.01248	−	0.250550i	0.236290	−	0.0118110i
$451$	25.5830	+	14.7703i	1.20465	+	0.695508i
$452$	−9.83972	+	2.63655i	−0.462822	+	0.124013i
$453$	−3.86417	+	14.4213i	−0.181554	+	0.677570i
$454$	25.8776			1.21450
$455$	−20.2236	−	11.5511i	−0.948097	−	0.541523i
$456$	12.3866			0.580054
$457$	−4.49326	+	16.7691i	−0.210186	+	0.784425i	0.777620	+	0.628735i	$0.216427\pi$
$457$	−4.49326	+	16.7691i	−0.210186	+	0.784425i	−0.987806	+	0.155690i	$0.950240\pi$
$458$	−1.29835	+	0.347892i	−0.0606679	+	0.0162559i
$459$	−0.454106	−	0.262178i	−0.0211958	−	0.0122374i
$460$	−0.605912	+	5.69863i	−0.0282508	+	0.265700i
$461$		−	41.8808i		−	1.95058i	−0.220920	−	0.975292i	$-0.570906\pi$
$461$		−	41.8808i		−	1.95058i	0.220920	−	0.975292i	$-0.429094\pi$
$462$	−7.62803	+	5.61064i	−0.354888	+	0.261031i
$463$	−15.4654	+	15.4654i	−0.718740	+	0.718740i	−0.968347	−	0.249607i	$-0.919698\pi$
$463$	−15.4654	+	15.4654i	−0.718740	+	0.718740i	0.249607	+	0.968347i	$0.419698\pi$
$464$	5.48033	−	3.16407i	0.254418	−	0.146888i
$465$	1.79276	+	4.03973i	0.0831372	+	0.187338i
$466$	10.7700	−	18.6541i	0.498909	−	0.864135i
$467$	−32.4120	−	8.68477i	−1.49985	−	0.401883i	−0.586800	−	0.809732i	$-0.699612\pi$
$467$	−32.4120	−	8.68477i	−1.49985	−	0.401883i	−0.913049	+	0.407849i	$0.866279\pi$
$468$	−2.76278	−	2.76278i	−0.127710	−	0.127710i
$469$	−2.19694	+	14.4169i	−0.101445	+	0.665713i
$470$	11.9156	−	1.87249i	0.549625	−	0.0863715i
$471$	3.29682	+	5.71026i	0.151910	+	0.263115i
$472$	2.02197	+	7.54610i	0.0930688	+	0.347337i
$473$	11.7625	+	43.8982i	0.540839	+	2.01844i
$474$	−7.60009	−	13.1637i	−0.349083	−	0.604630i
$475$	−19.6250	+	6.32416i	−0.900456	+	0.290172i
$476$	1.07511	+	0.860229i	0.0492775	+	0.0394285i
$477$	−4.06435	−	4.06435i	−0.186094	−	0.186094i
$478$	−12.4522	−	3.33656i	−0.569551	−	0.152611i
$479$	8.19191	−	14.1888i	0.374298	−	0.648303i	−0.615924	−	0.787806i	$-0.711217\pi$
$479$	8.19191	−	14.1888i	0.374298	−	0.648303i	0.990222	+	0.139503i	$0.0445505\pi$
$480$	−10.3778	−	3.99804i	−0.473678	−	0.182485i
$481$	0.539329	−	0.311381i	0.0245913	−	0.0141978i
$482$	−18.0930	+	18.0930i	−0.824113	+	0.824113i
$483$	2.74223	−	6.25753i	0.124776	−	0.284727i
$484$		−	1.70111i		−	0.0773232i
$485$	7.82453	+	0.831950i	0.355293	+	0.0377769i
$486$	−0.869271	−	0.501874i	−0.0394309	−	0.0227654i
$487$	4.22392	−	1.13179i	0.191404	−	0.0512865i	−0.161844	−	0.986816i	$-0.551744\pi$
$487$	4.22392	−	1.13179i	0.191404	−	0.0512865i	0.353248	+	0.935530i	$0.385077\pi$
$488$	7.78877	−	29.0681i	0.352581	−	1.31585i
$489$	−1.39802			−0.0632208
$490$	14.4192	+	6.23915i	0.651392	+	0.281856i
$491$	33.8633			1.52823			0.764116	−	0.645079i	$-0.223176\pi$
$491$	33.8633			1.52823			0.764116	+	0.645079i	$0.223176\pi$
$492$	2.12815	−	7.94237i	0.0959445	−	0.358070i
$493$	3.11185	−	0.833817i	0.140151	−	0.0375532i
$494$	−14.1118	−	8.14746i	−0.634920	−	0.366571i
$495$	6.20230	−	5.01013i	0.278773	−	0.225189i
$496$			2.03578i			0.0914093i
$497$	7.68081	−	17.5269i	0.344531	−	0.786190i
$498$	9.45904	−	9.45904i	0.423870	−	0.423870i
$499$	−15.2390	+	8.79824i	−0.682192	+	0.393864i	−0.800680	−	0.599092i	$-0.795528\pi$
$499$	−15.2390	+	8.79824i	−0.682192	+	0.393864i	0.118489	+	0.992955i	$0.462195\pi$
$500$	11.0790	+	0.620899i	0.495468	+	0.0277675i
$501$	−2.95698	+	5.12163i	−0.132108	+	0.228818i
$502$	−11.7177	−	3.13976i	−0.522988	−	0.140134i
$503$	9.37063	+	9.37063i	0.417816	+	0.417816i	0.884450	−	0.466635i	$-0.154534\pi$
$503$	9.37063	+	9.37063i	0.417816	+	0.417816i	−0.466635	+	0.884450i	$0.654534\pi$
$504$	6.20521	+	4.96499i	0.276402	+	0.221158i
$505$	−0.296415	−	1.88624i	−0.0131903	−	0.0839365i
$506$	−4.62099	−	8.00379i	−0.205428	−	0.355812i
$507$	0.646467	+	2.41265i	0.0287106	+	0.107150i
$508$	−0.385977	−	1.44049i	−0.0171250	−	0.0639112i
$509$	−13.8907	−	24.0594i	−0.615695	−	1.06641i	−0.990262	−	0.139215i	$-0.955542\pi$
$509$	−13.8907	−	24.0594i	−0.615695	−	1.06641i	0.374567	−	0.927200i	$-0.377791\pi$
$510$	0.951287	+	0.692908i	0.0421237	+	0.0306825i
$511$	6.13279	−	40.2451i	0.271299	−	1.78034i
$512$	−7.99749	−	7.99749i	−0.353442	−	0.353442i
$513$	3.98325	+	1.06731i	0.175865	+	0.0471228i
$514$	5.20118	−	9.00870i	0.229414	−	0.397357i
$515$	12.4070	−	5.50600i	0.546718	−	0.242623i
$516$	10.9552	−	6.32497i	0.482275	−	0.278441i
$517$	13.5497	−	13.5497i	0.595914	−	0.595914i
$518$	−0.338423	+	0.248920i	−0.0148695	+	0.0109369i
$519$			2.39421i			0.105094i
$520$	16.6150	+	20.5685i	0.728615	+	0.901991i
$521$	15.2942	+	8.83010i	0.670050	+	0.386854i	0.796096	−	0.605171i	$-0.206895\pi$
$521$	15.2942	+	8.83010i	0.670050	+	0.386854i	−0.126045	+	0.992024i	$0.540228\pi$
$522$	5.95685	−	1.59613i	0.260724	−	0.0698608i
$523$	1.08429	−	4.04661i	0.0474125	−	0.176946i	−0.938159	−	0.346204i	$-0.887470\pi$
$523$	1.08429	−	4.04661i	0.0474125	−	0.176946i	0.985572	+	0.169258i	$0.0541371\pi$
$524$	11.8967			0.519711
$525$	−12.3663	−	4.69824i	−0.539712	−	0.205048i
$526$	−7.98233			−0.348046
$527$	−0.268242	+	1.00109i	−0.0116848	+	0.0436082i
$528$	3.54742	−	0.950527i	0.154381	−	0.0413664i
$529$	−14.1439	−	8.16597i	−0.614951	−	0.355042i
$530$	8.10659	+	10.0356i	0.352128	+	0.435917i
$531$			2.60089i			0.112869i
$532$	−9.91797	−	4.34634i	−0.429999	−	0.188438i
$533$	−23.0621	+	23.0621i	−0.998930	+	0.998930i
$534$	9.60844	−	5.54743i	0.415798	−	0.240061i
$535$	23.9068	−	10.6094i	1.03358	−	0.458685i
$536$	8.27821	−	14.3383i	0.357564	−	0.619319i
$537$	1.81883	+	0.487353i	0.0784881	+	0.0210308i
$538$	1.21743	+	1.21743i	0.0524871	+	0.0524871i
$539$	24.3518	−	5.47503i	1.04891	−	0.235826i
$540$	−1.79386	−	1.30663i	−0.0771953	−	0.0562283i
$541$	9.49606	+	16.4477i	0.408267	+	0.707140i	0.994696	−	0.102861i	$-0.0327998\pi$
$541$	9.49606	+	16.4477i	0.408267	+	0.707140i	−0.586428	+	0.810001i	$0.699466\pi$
$542$	3.01914	+	11.2676i	0.129683	+	0.483984i
$543$	4.59246	+	17.1393i	0.197081	+	0.735517i
$544$	−1.30396	−	2.25853i	−0.0559069	−	0.0968336i
$545$	4.35163	+	27.6916i	0.186403	+	1.18618i
$546$	−3.80370	−	9.73811i	−0.162783	−	0.416753i
$547$	−4.10986	−	4.10986i	−0.175725	−	0.175725i	0.613764	−	0.789489i	$-0.289655\pi$
$547$	−4.10986	−	4.10986i	−0.175725	−	0.175725i	−0.789489	+	0.613764i	$0.789655\pi$
$548$	−6.05969	−	1.62369i	−0.258857	−	0.0693605i
$549$	5.00940	−	8.67653i	0.213796	−	0.370305i
$550$	−15.0316	+	9.71010i	−0.640951	+	0.414040i
$551$	−21.9418	+	12.6681i	−0.934752	+	0.539680i
$552$	−5.48457	+	5.48457i	−0.233439	+	0.233439i
$553$	4.42131	+	39.8210i	0.188013	+	1.69336i
$554$			9.18001i			0.390021i
$555$	0.275169	−	0.222278i	0.0116803	−	0.00943517i
$556$	4.36528	+	2.52029i	0.185129	+	0.106884i
$557$	27.2967	−	7.31412i	1.15660	−	0.309909i	0.370991	−	0.928637i	$-0.379018\pi$
$557$	27.2967	−	7.31412i	1.15660	−	0.309909i	0.785606	+	0.618727i	$0.212351\pi$
$558$	−0.513481	+	1.91634i	−0.0217374	+	0.0811250i
$559$	−50.1760			−2.12222
$560$	−4.32869	−	4.28863i	−0.182920	−	0.181228i
$561$	1.86968			0.0789379
$562$	3.91357	−	14.6057i	0.165084	−	0.616102i
$563$	23.8998	−	6.40394i	1.00726	−	0.269894i	0.282775	−	0.959186i	$-0.408745\pi$
$563$	23.8998	−	6.40394i	1.00726	−	0.269894i	0.724483	+	0.689292i	$0.242078\pi$
$564$	−4.61914	−	2.66686i	−0.194501	−	0.112295i
$565$	22.8221	+	2.42658i	0.960134	+	0.102087i
$566$		−	16.0735i		−	0.675621i
$567$	1.56764	+	2.13131i	0.0658348	+	0.0895067i
$568$	−15.3619	+	15.3619i	−0.644572	+	0.644572i
$569$	−31.0893	+	17.9494i	−1.30333	+	0.752479i	−0.980974	−	0.194140i	$-0.937809\pi$
$569$	−31.0893	+	17.9494i	−1.30333	+	0.752479i	−0.322357	+	0.946618i	$0.604475\pi$
$570$	−8.63679	−	3.32733i	−0.361756	−	0.139367i
$571$	3.51101	−	6.08125i	0.146931	−	0.254492i	−0.783161	−	0.621820i	$-0.786394\pi$
$571$	3.51101	−	6.08125i	0.146931	−	0.254492i	0.930092	+	0.367327i	$0.119727\pi$
$572$	13.4569	+	3.60577i	0.562662	+	0.150765i
$573$	−7.59859	−	7.59859i	−0.317436	−	0.317436i
$574$	13.7456	−	17.1792i	0.573731	−	0.717046i
$575$	5.88939	−	11.4899i	0.245604	−	0.479160i
$576$	−3.52608	−	6.10735i	−0.146920	−	0.254473i
$577$	−6.47806	−	24.1765i	−0.269685	−	1.00648i	−0.959320	−	0.282321i	$-0.908896\pi$
$577$	−6.47806	−	24.1765i	−0.269685	−	1.00648i	0.689635	−	0.724157i	$-0.257771\pi$
$578$	−4.34498	−	16.2157i	−0.180727	−	0.674484i
$579$	−1.61042	−	2.78933i	−0.0669267	−	0.115921i
$580$	13.4699	−	2.11674i	0.559305	−	0.0878927i
$581$	−32.8438	+	12.8288i	−1.36259	+	0.532227i
$582$	2.49760	+	2.49760i	0.103529	+	0.103529i
$583$	19.7966	+	5.30448i	0.819891	+	0.219689i
$584$	−23.1087	+	40.0255i	−0.956246	+	1.65627i
$585$	3.57069	+	8.04605i	0.147630	+	0.332663i
$586$	7.62774	−	4.40388i	0.315099	−	0.181923i
$587$	−22.0509	+	22.0509i	−0.910139	+	0.910139i	−0.996283	−	0.0861436i	$-0.972546\pi$
$587$	−22.0509	+	22.0509i	−0.910139	+	0.910139i	0.0861436	+	0.996283i	$0.472546\pi$
$588$	−3.22637	−	6.15285i	−0.133053	−	0.253739i
$589$		−	8.15074i		−	0.335845i
$590$	0.617204	−	5.80483i	0.0254099	−	0.238981i
$591$	−13.3885	−	7.72988i	−0.550731	−	0.317965i
$592$	0.157384	−	0.0421708i	0.00646843	−	0.00173321i
$593$	11.1621	−	41.6575i	0.458372	−	1.71067i	−0.219609	−	0.975588i	$-0.570478\pi$
$593$	11.1621	−	41.6575i	0.458372	−	1.71067i	0.677981	−	0.735079i	$-0.262855\pi$
$594$	3.57903			0.146849
$595$	−1.56354	−	2.67928i	−0.0640988	−	0.109840i
$596$	15.1265			0.619607
$597$	−3.20922	+	11.9770i	−0.131345	+	0.490185i
$598$	9.85604	−	2.64092i	0.403043	−	0.107995i
$599$	23.6940	+	13.6797i	0.968111	+	0.558939i	0.898660	−	0.438646i	$-0.144542\pi$
$599$	23.6940	+	13.6797i	0.968111	+	0.558939i	0.0694514	+	0.997585i	$0.477875\pi$
$600$	11.1366	+	10.0763i	0.454651	+	0.411363i
$601$			7.61565i			0.310649i	0.987864	+	0.155324i	$0.0496423\pi$
$601$			7.61565i			0.310649i	−0.987864	+	0.155324i	$0.950358\pi$
$602$	33.6414	−	3.73520i	1.37112	−	0.152235i
$603$	3.89757	−	3.89757i	0.158721	−	0.158721i
$604$	−12.8327	+	7.40895i	−0.522154	+	0.301466i
$605$	−1.37779	+	3.57636i	−0.0560153	+	0.145400i
$606$	0.428551	−	0.742273i	0.0174087	−	0.0301528i
$607$	15.0249	+	4.02590i	0.609840	+	0.163406i	0.550505	−	0.834832i	$-0.314435\pi$
$607$	15.0249	+	4.02590i	0.609840	+	0.163406i	0.0593354	+	0.998238i	$0.481102\pi$
$608$	14.5026	+	14.5026i	0.588159	+	0.588159i
$609$	−16.0699	−	2.44883i	−0.651184	−	0.0992314i
$610$	−13.2393	+	18.1761i	−0.536043	+	0.735929i
$611$	10.5781	+	18.3218i	0.427944	+	0.741221i
$612$	−0.134694	−	0.502686i	−0.00544469	−	0.0203199i
$613$	0.880848	+	3.28737i	0.0355771	+	0.132776i	0.981430	−	0.191819i	$-0.0614387\pi$
$613$	0.880848	+	3.28737i	0.0355771	+	0.132776i	−0.945853	+	0.324595i	$0.894772\pi$
$614$	−4.44590	−	7.70052i	−0.179422	−	0.310768i
$615$	−10.9070	+	14.9741i	−0.439812	+	0.603813i
$616$	−28.0132	−	4.26882i	−1.12868	−	0.171996i
$617$	−19.3906	−	19.3906i	−0.780637	−	0.780637i	0.199301	−	0.979938i	$-0.436133\pi$
$617$	−19.3906	−	19.3906i	−0.780637	−	0.780637i	−0.979938	+	0.199301i	$0.936133\pi$
$618$	5.88554	+	1.57703i	0.236751	+	0.0634373i
$619$	15.4314	−	26.7280i	0.620240	−	1.07429i	−0.369200	−	0.929350i	$-0.620368\pi$
$619$	15.4314	−	26.7280i	0.620240	−	1.07429i	0.989441	−	0.144938i	$-0.0462982\pi$
$620$	−1.57692	+	4.09323i	−0.0633306	+	0.164388i
$621$	−2.23630	+	1.29113i	−0.0897397	+	0.0518113i
$622$	−4.74083	+	4.74083i	−0.190090	+	0.190090i
$623$	−29.0661	+	3.22719i	−1.16451	+	0.129295i
$624$			4.05473i			0.162319i
$625$	−22.7892	−	10.2787i	−0.911569	−	0.411147i
$626$	1.61217	+	0.930785i	0.0644351	+	0.0372016i
$627$	−14.2029	+	3.80566i	−0.567210	+	0.151984i
$628$	−1.69375	+	6.32115i	−0.0675879	+	0.252241i
$629$	0.0829496			0.00330742
$630$	−2.99300	−	5.12882i	−0.119244	−	0.204337i
$631$	−19.0017			−0.756446			−0.378223	−	0.925714i	$-0.623465\pi$
$631$	−19.0017			−0.756446			−0.378223	+	0.925714i	$0.623465\pi$
$632$	11.7727	−	43.9365i	0.468295	−	1.74770i
$633$	−12.9643	+	3.47377i	−0.515284	+	0.138070i
$634$	1.49946	+	0.865713i	0.0595512	+	0.0343819i
$635$	−0.355239	+	3.34104i	−0.0140972	+	0.132585i
$636$		−	5.70470i		−	0.226206i
$637$	−1.11978	+	27.5343i	−0.0443671	+	1.09095i
$638$	−15.5489	+	15.5489i	−0.615585	+	0.615585i
$639$	−6.26374	+	3.61637i	−0.247790	+	0.143061i
$640$	−2.60185	−	5.86289i	−0.102847	−	0.231751i
$641$	8.84861	−	15.3262i	0.349499	−	0.605350i	−0.636661	−	0.771143i	$-0.719685\pi$
$641$	8.84861	−	15.3262i	0.349499	−	0.605350i	0.986161	+	0.165793i	$0.0530185\pi$
$642$	11.3407	+	3.03874i	0.447583	+	0.119930i
$643$	−1.20751	−	1.20751i	−0.0476194	−	0.0476194i	0.682896	−	0.730516i	$-0.260720\pi$
$643$	−1.20751	−	1.20751i	−0.0476194	−	0.0476194i	−0.730516	+	0.682896i	$0.760720\pi$
$644$	6.31601	−	2.46703i	0.248886	−	0.0972145i
$645$	−28.1546	+	4.42439i	−1.10859	+	0.174210i
$646$	−1.08521	−	1.87964i	−0.0426970	−	0.0739534i
$647$	0.977939	+	3.64972i	0.0384468	+	0.143485i	0.982481	−	0.186362i	$-0.0596696\pi$
$647$	0.977939	+	3.64972i	0.0384468	+	0.143485i	−0.944034	+	0.329847i	$0.893003\pi$
$648$	−0.777416	−	2.90136i	−0.0305398	−	0.113976i
$649$	−4.63695	−	8.03143i	−0.182016	−	0.315261i
$650$	−6.05994	−	18.8051i	−0.237690	−	0.737595i
$651$	3.26712	−	4.08322i	0.128048	−	0.160034i
$652$	−0.981129	−	0.981129i	−0.0384240	−	0.0384240i
$653$	−8.72296	−	2.33731i	−0.341356	−	0.0914660i	0.0840686	−	0.996460i	$-0.473209\pi$
$653$	−8.72296	−	2.33731i	−0.341356	−	0.0914660i	−0.425424	+	0.904994i	$0.639875\pi$
$654$	−6.29151	+	10.8972i	−0.246017	+	0.426115i
$655$	−25.0113	−	9.63561i	−0.977271	−	0.376495i
$656$	−7.38988	+	4.26655i	−0.288526	+	0.166581i
$657$	−10.8801	+	10.8801i	−0.424474	+	0.424474i
$658$	−8.45619	−	11.4967i	−0.329657	−	0.448190i
$659$			40.3378i			1.57134i	0.618648	+	0.785668i	$0.287681\pi$
$659$			40.3378i			1.57134i	−0.618648	+	0.785668i	$0.712319\pi$
$660$	7.86885	+	0.836663i	0.306295	+	0.0325671i
$661$	23.8392	+	13.7636i	0.927238	+	0.535341i	0.885937	−	0.463806i	$-0.153516\pi$
$661$	23.8392	+	13.7636i	0.927238	+	0.535341i	0.0413010	+	0.999147i	$0.486850\pi$
$662$	−25.2254	+	6.75912i	−0.980412	+	0.262701i
$663$	−0.534265	+	1.99390i	−0.0207491	+	0.0774368i
$664$	40.0308			1.55350
$665$	17.3309	+	17.1705i	0.672065	+	0.665845i
$666$	0.158786			0.00615284
$667$	4.10624	−	15.3247i	0.158994	−	0.593375i
$668$	−5.66955	+	1.51915i	−0.219361	+	0.0587777i
$669$	1.97068	+	1.13777i	0.0761909	+	0.0439889i
$670$	−9.62377	+	7.77394i	−0.371799	+	0.300334i
$671$			35.7237i			1.37910i
$672$	1.45210	+	13.0785i	0.0560159	+	0.504513i
$673$	22.5966	−	22.5966i	0.871035	−	0.871035i	−0.121550	−	0.992585i	$-0.538787\pi$
$673$	22.5966	−	22.5966i	0.871035	−	0.871035i	0.992585	+	0.121550i	$0.0387866\pi$
$674$	−18.0897	+	10.4441i	−0.696789	+	0.402291i
$675$	2.71305	+	4.19992i	0.104426	+	0.161655i
$676$	−1.23950	+	2.14688i	−0.0476732	+	0.0825723i
$677$	8.93720	+	2.39472i	0.343484	+	0.0920364i	0.426437	−	0.904517i	$-0.359768\pi$
$677$	8.93720	+	2.39472i	0.343484	+	0.0920364i	−0.0829529	+	0.996553i	$0.526435\pi$
$678$	7.28486	+	7.28486i	0.279774	+	0.279774i
$679$	−3.38736	−	8.67221i	−0.129995	−	0.332809i
$680$	0.546733	+	3.47913i	0.0209662	+	0.133419i
$681$	12.8905	+	22.3270i	0.493966	+	0.855574i
$682$	−1.83090	−	6.83302i	−0.0701089	−	0.261650i
$683$	1.20450	+	4.49527i	0.0460891	+	0.172007i	0.985134	−	0.171788i	$-0.0549543\pi$
$683$	1.20450	+	4.49527i	0.0460891	+	0.172007i	−0.939045	+	0.343794i	$0.888288\pi$
$684$	2.04640	+	3.54447i	0.0782460	+	0.135526i
$685$	11.4246	+	8.32155i	0.436511	+	0.317950i
$686$	−1.29893	−	18.5442i	−0.0495933	−	0.708022i
$687$	−0.946910	−	0.946910i	−0.0361269	−	0.0361269i
$688$	−12.6804	−	3.39770i	−0.483436	−	0.129536i
$689$	−11.3138	+	19.5961i	−0.431023	+	0.746554i
$690$	5.29752	−	2.35094i	0.201673	−	0.0894989i
$691$	−6.52332	+	3.76624i	−0.248159	+	0.143275i	−0.618921	−	0.785453i	$-0.712430\pi$
$691$	−6.52332	+	3.76624i	−0.248159	+	0.143275i	0.370762	+	0.928728i	$0.379097\pi$
$692$	−1.68025	+	1.68025i	−0.0638736	+	0.0638736i
$693$	−8.64059	−	3.78656i	−0.328229	−	0.143839i
$694$		−	12.8568i		−	0.488036i
$695$	−7.13613	−	8.83418i	−0.270689	−	0.335100i
$696$	15.9822	+	9.22732i	0.605804	+	0.349761i
$697$	−4.19613	+	1.12435i	−0.158940	+	0.0425878i
$698$	3.31257	−	12.3627i	0.125383	−	0.467934i
$699$	21.4595			0.811673
$700$	−5.38146	−	11.9759i	−0.203400	−	0.452646i
$701$	−45.2736			−1.70996			−0.854981	−	0.518660i	$-0.826431\pi$
$701$	−45.2736			−1.70996			−0.854981	+	0.518660i	$0.826431\pi$
$702$	−1.02272	+	3.81683i	−0.0385999	+	0.144057i
$703$	−0.630123	+	0.168841i	−0.0237655	+	0.00636796i
$704$	21.7768	+	12.5728i	0.820744	+	0.473857i
$705$	7.55112	+	9.34792i	0.284392	+	0.352063i
$706$			17.3272i			0.652117i
$707$	−1.81993	+	1.33862i	−0.0684457	+	0.0503438i
$708$	−1.82530	+	1.82530i	−0.0685988	+	0.0685988i
$709$	27.8909	−	16.1028i	1.04747	−	0.604754i	0.125527	−	0.992090i	$-0.459938\pi$
$709$	27.8909	−	16.1028i	1.04747	−	0.604754i	0.921939	+	0.387336i	$0.126605\pi$
$710$	14.8380	−	6.58484i	0.556861	−	0.247125i
$711$	7.57171	−	13.1146i	0.283961	−	0.491836i
$712$	32.0700	+	8.59313i	1.20187	+	0.322041i
$713$	3.60902	+	3.60902i	0.135159	+	0.135159i
$714$	0.209778	−	1.37662i	0.00785074	−	0.0515188i
$715$	−25.3709	−	18.4799i	−0.948818	−	0.691110i
$716$	0.934424	+	1.61847i	0.0349211	+	0.0604851i
$717$	−3.32410	−	12.4057i	−0.124141	−	0.463300i
$718$	1.95202	+	7.28503i	0.0728486	+	0.271875i
$719$	14.8623	+	25.7422i	0.554270	+	0.960023i	0.997960	+	0.0638430i	$0.0203357\pi$
$719$	14.8623	+	25.7422i	0.554270	+	0.960023i	−0.443690	+	0.896180i	$0.646331\pi$
$720$	0.357535	+	2.27518i	0.0133246	+	0.0847908i
$721$	−12.5406	−	10.0341i	−0.467036	−	0.373690i
$722$	−1.41569	−	1.41569i	−0.0526864	−	0.0526864i
$723$	−24.6232	−	6.59777i	−0.915747	−	0.245374i
$724$	−8.80534	+	15.2513i	−0.327248	+	0.566810i
$725$	−30.0330	−	6.45959i	−1.11540	−	0.239903i
$726$	−1.48991	+	0.860202i	−0.0552958	+	0.0319251i
$727$	8.03461	−	8.03461i	0.297987	−	0.297987i	−0.542238	−	0.840225i	$-0.682423\pi$
$727$	8.03461	−	8.03461i	0.297987	−	0.297987i	0.840225	+	0.542238i	$0.182423\pi$
$728$	12.5573	−	28.6546i	0.465404	−	1.06201i
$729$		−	1.00000i		−	0.0370370i
$730$	26.8649	−	21.7011i	0.994314	−	0.803192i
$731$	−5.78787	−	3.34163i	−0.214072	−	0.123595i
$732$	9.60475	−	2.57358i	0.355002	−	0.0951224i
$733$	7.77556	−	29.0188i	0.287197	−	1.07183i	−0.660022	−	0.751246i	$-0.729453\pi$
$733$	7.77556	−	29.0188i	0.287197	−	1.07183i	0.947219	−	0.320587i	$-0.103880\pi$
$734$	−6.91461			−0.255223
$735$	1.79958	+	15.5487i	0.0663784	+	0.573522i
$736$	−12.8431			−0.473401
$737$	−5.08682	+	18.9843i	−0.187375	+	0.699294i
$738$	−8.03244	+	2.15229i	−0.295678	+	0.0792267i
$739$	35.8813	+	20.7161i	1.31992	+	0.762054i	0.983715	−	0.179736i	$-0.0575243\pi$
$739$	35.8813	+	20.7161i	1.31992	+	0.762054i	0.336202	+	0.941790i	$0.390858\pi$
$740$	0.349107	+	0.0371192i	0.0128334	+	0.00136453i
$741$		−	16.2341i		−	0.596374i
$742$	6.12680	−	13.9808i	0.224922	−	0.513252i
$743$	10.5103	−	10.5103i	0.385585	−	0.385585i	−0.487525	−	0.873109i	$-0.662100\pi$
$743$	10.5103	−	10.5103i	0.385585	−	0.385585i	0.873109	+	0.487525i	$0.162100\pi$
$744$	−5.14152	+	2.96846i	−0.188497	+	0.108829i
$745$	−31.8015	−	12.2515i	−1.16512	−	0.448862i
$746$	−3.37985	+	5.85407i	−0.123745	+	0.214333i
$747$	12.8730	+	3.44932i	0.471000	+	0.126204i
$748$	1.31214	+	1.31214i	0.0479764	+	0.0479764i
$749$	−24.1642	−	19.3346i	−0.882941	−	0.706469i
$750$	−5.05851	−	10.0175i	−0.184711	−	0.365787i
$751$	21.0235	+	36.4138i	0.767159	+	1.32876i	0.939097	+	0.343651i	$0.111664\pi$
$751$	21.0235	+	36.4138i	0.767159	+	1.32876i	−0.171938	+	0.985108i	$0.555003\pi$
$752$	1.43261	+	5.34656i	0.0522418	+	0.194969i
$753$	−3.12804	−	11.6740i	−0.113992	−	0.425424i
$754$	−12.1388	−	21.0251i	−0.442071	−	0.765689i
$755$	32.9798	−	5.18264i	1.20026	−	0.188616i
$756$	−0.395582	+	2.59592i	−0.0143872	+	0.0944126i
$757$	12.0838	+	12.0838i	0.439193	+	0.439193i	0.891740	−	0.452547i	$-0.149485\pi$
$757$	12.0838	+	12.0838i	0.439193	+	0.439193i	−0.452547	+	0.891740i	$0.649485\pi$
$758$	36.4569	+	9.76860i	1.32417	+	0.354811i
$759$	4.60374	−	7.97391i	0.167105	−	0.289435i
$760$	−11.2349	−	25.3162i	−0.407532	−	0.918316i
$761$	−12.6620	+	7.31041i	−0.458997	+	0.265002i	−0.711623	−	0.702562i	$-0.752039\pi$
$761$	−12.6620	+	7.31041i	−0.458997	+	0.265002i	0.252625	+	0.967564i	$0.418706\pi$
$762$	−1.06647	+	1.06647i	−0.0386340	+	0.0386340i
$763$	26.7182	−	19.6520i	0.967264	−	0.711451i
$764$		−	10.6653i		−	0.385858i
$765$	−0.123968	+	1.16592i	−0.00448207	+	0.0421541i
$766$	13.4399	+	7.75952i	0.485603	+	0.280363i
$767$	9.89008	−	2.65004i	0.357110	−	0.0956874i
$768$	4.39569	−	16.4049i	0.158616	−	0.591962i
$769$	−5.95109			−0.214602			−0.107301	−	0.994227i	$-0.534221\pi$
$769$	−5.95109			−0.214602			−0.107301	+	0.994227i	$0.534221\pi$
$770$	18.3861	+	10.5015i	0.662588	+	0.378450i
$771$	10.3635			0.373233
$772$	0.827355	−	3.08773i	0.0297772	−	0.111130i
$773$	4.58677	−	1.22902i	0.164975	−	0.0442049i	−0.175386	−	0.984500i	$-0.556117\pi$
$773$	4.58677	−	1.22902i	0.164975	−	0.0442049i	0.340361	+	0.940295i	$0.389451\pi$
$774$	−11.0794	−	6.39670i	−0.398241	−	0.229925i
$775$	6.63052	−	7.32825i	0.238175	−	0.263238i
$776$			10.5699i			0.379438i
$777$	−0.383346	−	0.167993i	−0.0137525	−	0.00602673i
$778$	13.1668	−	13.1668i	0.472051	−	0.472051i
$779$	29.5872	−	17.0822i	1.06007	−	0.612032i
$780$	−3.14080	+	8.15260i	−0.112459	+	0.291910i
$781$	12.8948	−	22.3344i	0.461411	−	0.799188i
$782$	1.31279	+	0.351760i	0.0469452	+	0.0125789i
$783$	4.34444	+	4.34444i	0.155258	+	0.155258i
$784$	−2.14749	+	6.88259i	−0.0766961	+	0.245807i
$785$	8.68061	−	11.9175i	0.309824	−	0.425355i
$786$	−6.01582	−	10.4197i	−0.214577	−	0.371659i
$787$	4.26300	+	15.9097i	0.151959	+	0.567120i	0.999347	+	0.0361447i	$0.0115077\pi$
$787$	4.26300	+	15.9097i	0.151959	+	0.567120i	−0.847387	+	0.530976i	$0.821826\pi$
$788$	−3.97124	−	14.8209i	−0.141470	−	0.527971i
$789$	−3.97626	−	6.88709i	−0.141559	−	0.245187i
$790$	−20.0112	+	27.4732i	−0.711967	+	0.977453i
$791$	−9.88005	−	25.2946i	−0.351294	−	0.899373i
$792$	7.57326	+	7.57326i	0.269104	+	0.269104i
$793$	−38.0972	−	10.2081i	−1.35287	−	0.362501i
$794$	−2.28389	+	3.95581i	−0.0810522	+	0.140387i
$795$	−4.62045	+	11.9934i	−0.163870	+	0.425360i
$796$	−10.6576	+	6.15319i	−0.377750	+	0.218094i
$797$	−33.5483	+	33.5483i	−1.18834	+	1.18834i	−0.210818	+	0.977525i	$0.567613\pi$
$797$	−33.5483	+	33.5483i	−1.18834	+	1.18834i	−0.977525	+	0.210818i	$0.932387\pi$
$798$	1.20849	+	10.8844i	0.0427803	+	0.385305i
$799$			2.81792i			0.0996910i
$800$	1.24147	+	24.8369i	0.0438927	+	0.878116i
$801$	9.57257	+	5.52672i	0.338230	+	0.195277i
$802$	21.6598	−	5.80371i	0.764832	−	0.204936i
$803$	14.1999	−	52.9948i	0.501104	−	1.87015i
$804$	5.47061			0.192934
$805$	−15.2767	+	0.0710187i	−0.538433	+	0.00250308i
$806$	7.81021			0.275103
$807$	−0.443946	+	1.65683i	−0.0156276	+	0.0583232i
$808$	2.47748	−	0.663838i	0.0871573	−	0.0233537i
$809$	5.58195	+	3.22274i	0.196251	+	0.113306i	0.594906	−	0.803796i	$-0.297189\pi$
$809$	5.58195	+	3.22274i	0.196251	+	0.113306i	−0.398655	+	0.917101i	$0.630523\pi$
$810$	−0.237305	+	2.23187i	−0.00833805	+	0.0784198i
$811$		−	0.116404i		−	0.00408751i	−0.999998	−	0.00204375i	$-0.999349\pi$
$811$		−	0.116404i		−	0.00408751i	0.999998	−	0.00204375i	$-0.000650547\pi$
$812$	−9.55922	−	12.9964i	−0.335463	−	0.456084i
$813$	−8.21766	+	8.21766i	−0.288206	+	0.288206i
$814$	−0.490325	+	0.283089i	−0.0171859	+	0.00992227i
$815$	1.26804	+	2.85734i	0.0444174	+	0.100088i
$816$	−0.270037	+	0.467718i	−0.00945319	+	0.0163734i
$817$	50.7690	+	13.6035i	1.77618	+	0.475927i
$818$	−4.32516	−	4.32516i	−0.151226	−	0.151226i
$819$	6.50722	−	8.13268i	0.227381	−	0.284179i
$820$	−18.1633	+	2.85429i	−0.634289	+	0.0996761i
$821$	0.698986	+	1.21068i	0.0243948	+	0.0422530i	0.877965	−	0.478725i	$-0.158901\pi$
$821$	0.698986	+	1.21068i	0.0243948	+	0.0422530i	−0.853570	+	0.520978i	$0.825567\pi$
$822$	1.64210	+	6.12841i	0.0572749	+	0.213753i
$823$	−4.22216	−	15.7573i	−0.147175	−	0.549265i	−0.999649	−	0.0264952i	$-0.991565\pi$
$823$	−4.22216	−	15.7573i	−0.147175	−	0.549265i	0.852474	−	0.522770i	$-0.175101\pi$
$824$	9.11687	+	15.7909i	0.317601	+	0.550101i
$825$	−15.8656	−	8.13225i	−0.552368	−	0.283129i
$826$	−6.43371	+	2.51300i	−0.223858	+	0.0874386i
$827$	−29.7712	−	29.7712i	−1.03524	−	1.03524i	−0.999356	−	0.0358886i	$-0.988574\pi$
$827$	−29.7712	−	29.7712i	−1.03524	−	1.03524i	−0.0358886	−	0.999356i	$-0.511426\pi$
$828$	−2.47554	−	0.663320i	−0.0860311	−	0.0230520i
$829$	−3.31772	+	5.74647i	−0.115229	+	0.199583i	−0.917871	−	0.396878i	$-0.870094\pi$
$829$	−3.31772	+	5.74647i	−0.115229	+	0.199583i	0.802642	+	0.596461i	$0.203427\pi$
$830$	−27.9124	−	10.7533i	−0.968853	−	0.373251i
$831$	−7.92044	+	4.57287i	−0.274757	+	0.158631i
$832$	−19.6310	+	19.6310i	−0.680582	+	0.680582i
$833$	−1.96290	+	3.10154i	−0.0680104	+	0.107462i
$834$		−	5.09775i		−	0.176521i
$835$	13.1499	+	1.39817i	0.455070	+	0.0483857i
$836$	−12.6384	−	7.29677i	−0.437108	−	0.252364i
$837$	−1.90918	+	0.511564i	−0.0659910	+	0.0176822i
$838$	−6.05768	+	22.6076i	−0.209259	+	0.780965i
$839$	18.1682			0.627234			0.313617	−	0.949550i	$-0.398459\pi$
$839$	18.1682			0.627234			0.313617	+	0.949550i	$0.398459\pi$
$840$	4.51941	−	17.1859i	0.155934	−	0.592968i
$841$	−8.74827			−0.301664
$842$	−0.00309354	+	0.0115453i	−0.000106610	+	0.000397876i
$843$	14.5511	−	3.89896i	0.501167	−	0.134287i
$844$	−11.5362	−	6.66042i	−0.397092	−	0.229261i
$845$	4.34473	−	3.50961i	0.149463	−	0.120734i
$846$			5.39421i			0.185457i
$847$	4.50707	−	0.500418i	0.154865	−	0.0171946i
$848$	−4.18618	+	4.18618i	−0.143754	+	0.143754i
$849$	13.8681	−	8.00677i	0.475953	−	0.274791i
$850$	0.553359	−	2.57277i	0.0189801	−	0.0882452i
$851$	0.204248	−	0.353768i	0.00700154	−	0.0121270i
$852$	−6.93384	−	1.85792i	−0.237549	−	0.0636512i
$853$	34.0703	+	34.0703i	1.16654	+	1.16654i	0.983014	+	0.183530i	$0.0587523\pi$
$853$	34.0703	+	34.0703i	1.16654	+	1.16654i	0.183530	+	0.983014i	$0.441248\pi$
$854$	26.3029	+	4.00820i	0.900067	+	0.137158i
$855$	−1.43148	−	9.10922i	−0.0489555	−	0.311529i
$856$	17.5671	+	30.4271i	0.600432	+	1.03998i
$857$	−9.53874	−	35.5991i	−0.325837	−	1.21604i	−0.913468	−	0.406911i	$-0.866606\pi$
$857$	−9.53874	−	35.5991i	−0.325837	−	1.21604i	0.587631	−	0.809129i	$-0.300061\pi$
$858$	−3.64666	−	13.6095i	−0.124495	−	0.464622i
$859$	−6.11471	−	10.5910i	−0.208631	−	0.361360i	0.742652	−	0.669677i	$-0.233567\pi$
$859$	−6.11471	−	10.5910i	−0.208631	−	0.361360i	−0.951284	+	0.308317i	$0.900234\pi$
$860$	−22.8639	−	16.6538i	−0.779651	−	0.567890i
$861$	21.6692	+	3.30209i	0.738486	+	0.112535i
$862$	13.4125	+	13.4125i	0.456831	+	0.456831i
$863$	−40.1292	−	10.7526i	−1.36601	−	0.366022i	−0.499993	−	0.866030i	$-0.666664\pi$
$863$	−40.1292	−	10.7526i	−1.36601	−	0.366022i	−0.866021	+	0.500007i	$0.833331\pi$
$864$	2.48679	−	4.30724i	0.0846022	−	0.146535i
$865$	4.89340	−	2.17160i	0.166381	−	0.0738367i
$866$	−23.0765	+	13.3233i	−0.784173	+	0.452743i
$867$	11.8264	−	11.8264i	0.401645	−	0.401645i
$868$	5.15845	−	0.572740i	0.175089	−	0.0194401i
$869$			53.9964i			1.83170i
$870$	−8.66525	−	10.7272i	−0.293779	−	0.363685i
$871$	−18.7920	−	10.8496i	−0.636744	−	0.367624i
$872$	−36.3715	+	9.74572i	−1.23169	+	0.330032i
$873$	−0.910774	+	3.39905i	−0.0308250	+	0.115041i
$874$	−10.6885			−0.361545
$875$	1.61406	+	29.5363i	0.0545653	+	0.998510i
$876$	−15.2713			−0.515969
$877$	0.648098	−	2.41873i	0.0218847	−	0.0816748i	−0.954120	−	0.299425i	$-0.903205\pi$
$877$	0.648098	−	2.41873i	0.0218847	−	0.0816748i	0.976005	+	0.217750i	$0.0698718\pi$
$878$	6.61211	−	1.77171i	0.223148	−	0.0597923i
$879$	7.59927	+	4.38744i	0.256317	+	0.147985i
$880$	−5.16032	−	6.38823i	−0.173954	−	0.215347i
$881$		−	48.7030i		−	1.64084i	−0.571758	−	0.820422i	$-0.693738\pi$
$881$		−	48.7030i		−	1.64084i	0.571758	−	0.820422i	$-0.306262\pi$
$882$	−3.75747	+	5.93711i	−0.126521	+	0.199913i
$883$	−5.87749	+	5.87749i	−0.197793	+	0.197793i	−0.799053	−	0.601260i	$-0.794666\pi$
$883$	−5.87749	+	5.87749i	−0.197793	+	0.197793i	0.601260	+	0.799053i	$0.294666\pi$
$884$	−1.77426	+	1.02437i	−0.0596749	+	0.0344533i
$885$	5.31582	−	2.35906i	0.178689	−	0.0792990i
$886$	−3.46265	+	5.99748i	−0.116330	+	0.201489i
$887$	9.36397	+	2.50907i	0.314411	+	0.0842463i	0.412574	−	0.910924i	$-0.364630\pi$
$887$	9.36397	+	2.50907i	0.314411	+	0.0842463i	−0.0981626	+	0.995170i	$0.531297\pi$
$888$	0.335993	+	0.335993i	0.0112752	+	0.0112752i
$889$	3.70300	−	1.44639i	0.124195	−	0.0485104i
$890$	−20.0532	−	14.6065i	−0.672184	−	0.489612i
$891$	1.78283	+	3.08796i	0.0597272	+	0.103450i
$892$	0.584533	+	2.18151i	0.0195716	+	0.0730422i
$893$	−5.73578	−	21.4062i	−0.191941	−	0.716332i
$894$	−7.64903	−	13.2485i	−0.255822	−	0.443097i
$895$	−0.653640	−	4.15944i	−0.0218488	−	0.139035i
$896$	−4.74159	+	5.92601i	−0.158406	+	0.197974i
$897$	7.18819	+	7.18819i	0.240007	+	0.240007i
$898$	−26.4350	−	7.08322i	−0.882146	−	0.236370i
$899$	6.07187	−	10.5168i	0.202508	−	0.350754i
$900$	−1.04348	+	4.85151i	−0.0347826	+	0.161717i
$901$	−2.61013	+	1.50696i	−0.0869561	+	0.0502041i
$902$	20.9667	−	20.9667i	0.698114	−	0.698114i
$903$	19.9806	+	27.1650i	0.664914	+	0.903993i
$904$			30.8297i			1.02538i
$905$	30.8646	−	24.9320i	1.02598	−	0.828768i
$906$	12.9782	+	7.49297i	0.431172	+	0.248937i
$907$	−31.8869	+	8.54407i	−1.05879	+	0.283701i	−0.745878	−	0.666082i	$-0.767970\pi$
$907$	−31.8869	+	8.54407i	−1.05879	+	0.283701i	−0.312909	+	0.949783i	$0.601303\pi$
$908$	−6.62252	+	24.7156i	−0.219776	+	0.820216i
$909$	0.853903			0.0283222
$910$	−16.4532	+	16.6069i	−0.545417	+	0.550512i
$911$	33.1445			1.09813			0.549064	−	0.835781i	$-0.314984\pi$
$911$	33.1445			1.09813			0.549064	+	0.835781i	$0.314984\pi$
$912$	1.09930	−	4.10265i	0.0364015	−	0.135852i
$913$	−45.9010	+	12.2991i	−1.51910	+	0.407042i
$914$	15.0911	+	8.71284i	0.499169	+	0.288195i
$915$	−22.2771	−	2.36864i	−0.736459	−	0.0783047i
$916$		−	1.32908i		−	0.0439140i
$917$	3.49968	+	31.5202i	0.115570	+	1.04089i
$918$	−0.372165	+	0.372165i	−0.0122833	+	0.0122833i
$919$	−27.8600	+	16.0850i	−0.919015	+	0.530594i	−0.883321	−	0.468769i	$-0.844698\pi$
$919$	−27.8600	+	16.0850i	−0.919015	+	0.530594i	−0.0356945	+	0.999363i	$0.511364\pi$
$920$	16.1842	+	6.23499i	0.533578	+	0.205562i
$921$	4.42930	−	7.67177i	0.145950	−	0.252793i
$922$	−40.6053	−	10.8802i	−1.33727	−	0.358319i
$923$	20.1336	+	20.1336i	0.662707	+	0.662707i
$924$	−3.40655	−	8.72134i	−0.112067	−	0.286911i
$925$	−0.703887	−	0.360793i	−0.0231437	−	0.0118628i
$926$	10.9767	+	19.0122i	0.360716	+	0.624779i
$927$	1.57114	+	5.86357i	0.0516030	+	0.192585i
$928$	7.90885	+	29.5162i	0.259621	+	0.968918i
$929$	20.2533	+	35.0798i	0.664490	+	1.15093i	0.979423	+	0.201816i	$0.0646843\pi$
$929$	20.2533	+	35.0798i	0.664490	+	1.15093i	−0.314934	+	0.949114i	$0.601982\pi$
$930$	4.38244	−	0.688684i	0.143706	−	0.0225828i
$931$	8.59799	−	27.5561i	0.281788	−	0.903115i
$932$	15.0602	+	15.0602i	0.493314	+	0.493314i
$933$	−6.45191	−	1.72878i	−0.211226	−	0.0565979i
$934$	−16.8406	+	29.1687i	−0.551040	+	0.954429i
$935$	−1.69584	−	3.82134i	−0.0554599	−	0.124971i
$936$	−10.2405	+	5.91237i	−0.334722	+	0.193252i
$937$	10.0291	−	10.0291i	0.327637	−	0.327637i	−0.524050	−	0.851687i	$-0.675580\pi$
$937$	10.0291	−	10.0291i	0.327637	−	0.327637i	0.851687	+	0.524050i	$0.175580\pi$
$938$	13.4071	+	5.87540i	0.437759	+	0.191838i
$939$			1.85462i			0.0605232i
$940$	−1.26099	+	11.8597i	−0.0411291	+	0.386821i
$941$	−32.3581	−	18.6820i	−1.05485	−	0.609015i	−0.130843	−	0.991403i	$-0.541768\pi$
$941$	−32.3581	−	18.6820i	−1.05485	−	0.609015i	−0.924002	+	0.382388i	$0.875102\pi$
$942$	6.39284	−	1.71296i	0.208290	−	0.0558111i
$943$	−5.53701	+	20.6644i	−0.180310	+	0.672926i
$944$	2.67885			0.0871893
$945$	2.93419	−	5.13717i	0.0954492	−	0.167112i
$946$	45.6170			1.48314
$947$	0.500489	−	1.86785i	0.0162637	−	0.0606970i	−0.957317	−	0.289040i	$-0.906664\pi$
$947$	0.500489	−	1.86785i	0.0162637	−	0.0606970i	0.973581	+	0.228343i	$0.0733307\pi$
$948$	14.5176	−	3.88998i	0.471510	−	0.126341i
$949$	52.4582	+	30.2868i	1.70287	+	0.983150i
$950$	1.03321	+	20.6703i	0.0335216	+	0.670631i
$951$			1.72496i			0.0559358i
$952$	3.35684	−	2.46905i	0.108796	−	0.0800225i
$953$	14.5970	−	14.5970i	0.472845	−	0.472845i	−0.429989	−	0.902834i	$-0.641483\pi$
$953$	14.5970	−	14.5970i	0.472845	−	0.472845i	0.902834	+	0.429989i	$0.141483\pi$
$954$	−4.99644	+	2.88470i	−0.161766	+	0.0933955i
$955$	−8.63826	+	22.4224i	−0.279528	+	0.725573i
$956$	6.37346	−	11.0392i	0.206132	−	0.357032i
$957$	−21.1608	−	5.67003i	−0.684033	−	0.183286i
$958$	−11.6285	−	11.6285i	−0.375700	−	0.375700i
$959$	2.51935	−	16.5327i	0.0813541	−	0.533869i
$960$	−9.28426	+	12.7463i	−0.299648	+	0.411384i
$961$	−13.5467	−	23.4635i	−0.436989	−	0.756887i
$962$	−0.161787	−	0.603797i	−0.00521622	−	0.0194672i
$963$	3.02740	+	11.2984i	0.0975565	+	0.364086i
$964$	−12.6502	−	21.9108i	−0.407436	−	0.705700i
$965$	−4.24027	+	5.82143i	−0.136499	+	0.187399i
$966$	−5.35456	−	4.28435i	−0.172280	−	0.137847i
$967$	34.5723	+	34.5723i	1.11177	+	1.11177i	0.992911	+	0.118858i	$0.0379234\pi$
$967$	34.5723	+	34.5723i	1.11177	+	1.11177i	0.118858	+	0.992911i	$0.462077\pi$
$968$	−4.97287	−	1.33248i	−0.159834	−	0.0428274i
$969$	1.08116	−	1.87262i	0.0347318	−	0.0601573i
$970$	2.83934	−	7.37010i	0.0911656	−	0.236640i
$971$	−2.45937	+	1.41992i	−0.0789251	+	0.0455674i	−0.538943	−	0.842342i	$-0.681176\pi$
$971$	−2.45937	+	1.41992i	−0.0789251	+	0.0455674i	0.460018	+	0.887910i	$0.347843\pi$
$972$	0.701798	−	0.701798i	0.0225102	−	0.0225102i
$973$	−5.39334	+	12.3071i	−0.172903	+	0.394549i
$974$		−	4.38930i		−	0.140642i
$975$	13.2062	−	14.5959i	0.422937	−	0.467443i
$976$	−8.93662	−	5.15956i	−0.286054	−	0.165154i
$977$	36.0763	−	9.66661i	1.15418	−	0.309262i	0.369543	−	0.929214i	$-0.379514\pi$
$977$	36.0763	−	9.66661i	1.15418	−	0.309262i	0.784640	+	0.619951i	$0.212848\pi$
$978$	−0.363191	+	1.35545i	−0.0116136	+	0.0433424i
$979$	−39.4129			−1.25964
$980$	−9.64909	+	12.1750i	−0.308229	+	0.388915i
$981$	−12.5360			−0.400245
$982$	8.79732	−	32.8320i	0.280734	−	1.04771i
$983$	30.9698	−	8.29834i	0.987784	−	0.264676i	0.271465	−	0.962448i	$-0.412492\pi$
$983$	30.9698	−	8.29834i	0.987784	−	0.264676i	0.716320	+	0.697772i	$0.245825\pi$
$984$	−21.5510	−	12.4425i	−0.687021	−	0.396651i
$985$	−3.65499	+	34.3753i	−0.116458	+	1.09529i
$986$		−	3.23369i		−	0.102982i
$987$	5.70699	−	13.0228i	0.181655	−	0.414522i
$988$	11.3930	−	11.3930i	0.362461	−	0.362461i
$989$	−28.5031	+	16.4563i	−0.906346	+	0.523279i
$990$	−3.24626	−	7.31499i	−0.103173	−	0.232486i
$991$	−20.9999	+	36.3729i	−0.667084	+	1.15542i	0.311632	+	0.950203i	$0.399125\pi$
$991$	−20.9999	+	36.3729i	−0.667084	+	1.15542i	−0.978716	+	0.205221i	$0.934209\pi$
$992$	−9.49546	−	2.54430i	−0.301481	−	0.0807817i
$993$	−18.3973	−	18.3973i	−0.583821	−	0.583821i
$994$	−14.9978	−	12.0002i	−0.475700	−	0.380623i
$995$	27.3899	−	4.30423i	0.868320	−	0.136453i
$996$	6.61355	+	11.4550i	0.209558	+	0.362966i
$997$	5.68114	+	21.2023i	0.179924	+	0.671484i	0.995660	+	0.0930609i	$0.0296651\pi$
$997$	5.68114	+	21.2023i	0.179924	+	0.671484i	−0.815737	+	0.578423i	$0.803668\pi$
$998$	4.57137	+	17.0606i	0.144704	+	0.540044i
$999$	0.0790967	+	0.136999i	0.00250251	+	0.00433447i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	105.2.u.a.52.6	✓	32
3.2	odd	2		315.2.bz.d.262.3		32
5.2	odd	4		525.2.bc.e.493.6		32
5.3	odd	4	inner	105.2.u.a.73.3	yes	32
5.4	even	2		525.2.bc.e.157.3		32
7.2	even	3		735.2.v.b.607.3		32
7.3	odd	6		735.2.m.c.97.12		32
7.4	even	3		735.2.m.c.97.11		32
7.5	odd	6	inner	105.2.u.a.82.3	yes	32
7.6	odd	2		735.2.v.b.472.6		32
15.8	even	4		315.2.bz.d.73.6		32
21.5	even	6		315.2.bz.d.82.6		32
35.3	even	12		735.2.m.c.538.11		32
35.12	even	12		525.2.bc.e.418.3		32
35.13	even	4		735.2.v.b.178.3		32
35.18	odd	12		735.2.m.c.538.12		32
35.19	odd	6		525.2.bc.e.82.6		32
35.23	odd	12		735.2.v.b.313.6		32
35.33	even	12	inner	105.2.u.a.103.6	yes	32
105.68	odd	12		315.2.bz.d.208.3		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
105.2.u.a.52.6	✓	32	1.1	even	1	trivial
105.2.u.a.73.3	yes	32	5.3	odd	4	inner
105.2.u.a.82.3	yes	32	7.5	odd	6	inner
105.2.u.a.103.6	yes	32	35.33	even	12	inner
315.2.bz.d.73.6		32	15.8	even	4
315.2.bz.d.82.6		32	21.5	even	6
315.2.bz.d.208.3		32	105.68	odd	12
315.2.bz.d.262.3		32	3.2	odd	2
525.2.bc.e.82.6		32	35.19	odd	6
525.2.bc.e.157.3		32	5.4	even	2
525.2.bc.e.418.3		32	35.12	even	12
525.2.bc.e.493.6		32	5.2	odd	4
735.2.m.c.97.11		32	7.4	even	3
735.2.m.c.97.12		32	7.3	odd	6
735.2.m.c.538.11		32	35.3	even	12
735.2.m.c.538.12		32	35.18	odd	12
735.2.v.b.178.3		32	35.13	even	4
735.2.v.b.313.6		32	35.23	odd	12
735.2.v.b.472.6		32	7.6	odd	2
735.2.v.b.607.3		32	7.2	even	3

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:	\( N \)	\(=\)	\( 105 = 3 \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	105.u (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.259789 - 0.969545i) q^{2} +(0.965926 - 0.258819i) q^{3} +(0.859523 + 0.496246i) q^{4} +(-1.40510 - 1.73945i) q^{5} -1.00375i q^{6} +(-1.06195 + 2.42328i) q^{7} +(2.12394 - 2.12394i) q^{8} +(0.866025 - 0.500000i) q^{9} +O(q^{10})\)	\(q+(0.259789 - 0.969545i) q^{2} +(0.965926 - 0.258819i) q^{3} +(0.859523 + 0.496246i) q^{4} +(-1.40510 - 1.73945i) q^{5} -1.00375i q^{6} +(-1.06195 + 2.42328i) q^{7} +(2.12394 - 2.12394i) q^{8} +(0.866025 - 0.500000i) q^{9} +(-2.05151 + 0.910421i) q^{10} +(-1.78283 + 3.08796i) q^{11} +(0.958673 + 0.256876i) q^{12} +(-2.78368 - 2.78368i) q^{13} +(2.07359 + 1.65915i) q^{14} +(-1.80743 - 1.31651i) q^{15} +(-0.514988 - 0.891986i) q^{16} +(-0.135713 - 0.506489i) q^{17} +(-0.259789 - 0.969545i) q^{18} +(2.06188 + 3.57128i) q^{19} +(-0.344523 - 2.19237i) q^{20} +(-0.398574 + 2.61556i) q^{21} +(2.53075 + 2.53075i) q^{22} +(-2.49427 - 0.668338i) q^{23} +(1.50185 - 2.60128i) q^{24} +(-1.05137 + 4.88821i) q^{25} +(-3.42207 + 1.97574i) q^{26} +(0.707107 - 0.707107i) q^{27} +(-2.11531 + 1.55587i) q^{28} +6.14396i q^{29} +(-1.74597 + 1.41037i) q^{30} +(-1.71173 - 0.988266i) q^{31} +(4.80410 - 1.28726i) q^{32} +(-0.922863 + 3.44417i) q^{33} -0.526321 q^{34} +(5.70731 - 1.55774i) q^{35} +0.992492 q^{36} +(-0.0409435 + 0.152803i) q^{37} +(3.99817 - 1.07131i) q^{38} +(-3.40930 - 1.96836i) q^{39} +(-6.67884 - 0.710134i) q^{40} -8.28475i q^{41} +(2.43236 + 1.06593i) q^{42} +(9.01253 - 9.01253i) q^{43} +(-3.06477 + 1.76945i) q^{44} +(-2.08658 - 0.803857i) q^{45} +(-1.29597 + 2.24468i) q^{46} +(-5.19095 - 1.39091i) q^{47} +(-0.728304 - 0.728304i) q^{48} +(-4.74453 - 5.14679i) q^{49} +(4.46621 + 2.28926i) q^{50} +(-0.262178 - 0.454106i) q^{51} +(-1.01125 - 3.77403i) q^{52} +(-1.48765 - 5.55200i) q^{53} +(-0.501874 - 0.869271i) q^{54} +(7.87641 - 1.23775i) q^{55} +(2.89138 + 7.40241i) q^{56} +(2.91594 + 2.91594i) q^{57} +(5.95685 + 1.59613i) q^{58} +(-1.30044 + 2.25243i) q^{59} +(-0.900212 - 2.02850i) q^{60} +(8.67653 - 5.00940i) q^{61} +(-1.40286 + 1.40286i) q^{62} +(0.291963 + 2.62959i) q^{63} -7.05216i q^{64} +(-0.930716 + 8.75343i) q^{65} +(3.09953 + 1.78951i) q^{66} +(5.32418 - 1.42661i) q^{67} +(0.134694 - 0.502686i) q^{68} -2.58226 q^{69} +(-0.0276056 - 5.93818i) q^{70} -7.23274 q^{71} +(0.777416 - 2.90136i) q^{72} +(-14.8625 + 3.98240i) q^{73} +(0.137513 + 0.0793931i) q^{74} +(0.249614 + 4.99377i) q^{75} +4.09280i q^{76} +(-5.58969 - 7.59955i) q^{77} +(-2.79411 + 2.79411i) q^{78} +(13.1146 - 7.57171i) q^{79} +(-0.827954 + 2.14913i) q^{80} +(0.500000 - 0.866025i) q^{81} +(-8.03244 - 2.15229i) q^{82} +(9.42372 + 9.42372i) q^{83} +(-1.64054 + 2.05034i) q^{84} +(-0.690321 + 0.947735i) q^{85} +(-6.39670 - 11.0794i) q^{86} +(1.59017 + 5.93461i) q^{87} +(2.77201 + 10.3453i) q^{88} +(5.52672 + 9.57257i) q^{89} +(-1.32145 + 1.81420i) q^{90} +(9.70175 - 3.78950i) q^{91} +(-1.81222 - 1.81222i) q^{92} +(-1.90918 - 0.511564i) q^{93} +(-2.69710 + 4.67152i) q^{94} +(3.31491 - 8.60455i) q^{95} +(4.30724 - 2.48679i) q^{96} +(-2.48828 + 2.48828i) q^{97} +(-6.22262 + 3.26295i) q^{98} +3.56567i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q - 12 q^{5} + 8 q^{7} - 24 q^{8}+O(q^{10}) \) 32 * q - 12 * q^5 + 8 * q^7 - 24 * q^8	\( 32 q - 12 q^{5} + 8 q^{7} - 24 q^{8} - 12 q^{10} - 8 q^{11} - 8 q^{15} - 8 q^{21} - 8 q^{22} - 8 q^{23} + 12 q^{25} + 24 q^{26} - 24 q^{28} + 8 q^{30} + 24 q^{31} + 24 q^{32} - 36 q^{33} + 44 q^{35} - 32 q^{36} + 4 q^{37} + 12 q^{38} + 12 q^{40} + 16 q^{42} + 40 q^{43} - 40 q^{46} - 60 q^{47} + 72 q^{50} - 8 q^{51} - 108 q^{52} - 24 q^{53} - 48 q^{56} + 16 q^{57} + 4 q^{58} + 20 q^{60} - 24 q^{61} + 4 q^{63} - 4 q^{65} + 72 q^{66} + 8 q^{67} + 132 q^{68} + 4 q^{70} - 16 q^{71} + 12 q^{72} + 36 q^{73} + 48 q^{75} + 60 q^{77} + 80 q^{78} - 12 q^{80} + 16 q^{81} + 12 q^{82} - 72 q^{85} - 16 q^{86} - 24 q^{87} - 32 q^{88} - 24 q^{91} - 56 q^{92} - 24 q^{93} - 12 q^{95} - 72 q^{98}+O(q^{100}) \) 32 * q - 12 * q^5 + 8 * q^7 - 24 * q^8 - 12 * q^10 - 8 * q^11 - 8 * q^15 - 8 * q^21 - 8 * q^22 - 8 * q^23 + 12 * q^25 + 24 * q^26 - 24 * q^28 + 8 * q^30 + 24 * q^31 + 24 * q^32 - 36 * q^33 + 44 * q^35 - 32 * q^36 + 4 * q^37 + 12 * q^38 + 12 * q^40 + 16 * q^42 + 40 * q^43 - 40 * q^46 - 60 * q^47 + 72 * q^50 - 8 * q^51 - 108 * q^52 - 24 * q^53 - 48 * q^56 + 16 * q^57 + 4 * q^58 + 20 * q^60 - 24 * q^61 + 4 * q^63 - 4 * q^65 + 72 * q^66 + 8 * q^67 + 132 * q^68 + 4 * q^70 - 16 * q^71 + 12 * q^72 + 36 * q^73 + 48 * q^75 + 60 * q^77 + 80 * q^78 - 12 * q^80 + 16 * q^81 + 12 * q^82 - 72 * q^85 - 16 * q^86 - 24 * q^87 - 32 * q^88 - 24 * q^91 - 56 * q^92 - 24 * q^93 - 12 * q^95 - 72 * q^98

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