LMFDB - Embedded newform 380.2.be.b.51.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [380,2,Mod(51,380)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(380, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 0, 5]))

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

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

chi := DirichletCharacter("380.51");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 380 = 2^{2} \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	380.be (of order $18$, degree $6$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$3.03431527681$
Analytic rank:	$0$
Dimension:	$120$
Relative dimension:	$20$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			51.16
Character	$\chi$	$=$	380.51
Dual form			380.2.be.b.231.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.06837 + 0.926603i) q^{2} +(-2.81895 - 1.02602i) q^{3} +(0.282813 + 1.97990i) q^{4} +(-0.173648 - 0.984808i) q^{5} +(-2.06097 - 3.70821i) q^{6} +(-0.824757 - 0.476173i) q^{7} +(-1.53244 + 2.37732i) q^{8} +(4.59567 + 3.85622i) q^{9} +O(q^{10})$	\(q+(1.06837 + 0.926603i) q^{2} +(-2.81895 - 1.02602i) q^{3} +(0.282813 + 1.97990i) q^{4} +(-0.173648 - 0.984808i) q^{5} +(-2.06097 - 3.70821i) q^{6} +(-0.824757 - 0.476173i) q^{7} +(-1.53244 + 2.37732i) q^{8} +(4.59567 + 3.85622i) q^{9} +(0.727006 - 1.21304i) q^{10} +(3.60735 - 2.08271i) q^{11} +(1.23417 - 5.87143i) q^{12} +(-2.21216 - 6.07786i) q^{13} +(-0.439918 - 1.27295i) q^{14} +(-0.520922 + 2.95429i) q^{15} +(-3.84003 + 1.11989i) q^{16} +(5.49957 - 4.61469i) q^{17} +(1.33667 + 8.37821i) q^{18} +(1.12610 - 4.21093i) q^{19} +(1.90071 - 0.622323i) q^{20} +(1.83639 + 2.18852i) q^{21} +(5.78381 + 1.11749i) q^{22} +(-2.84103 - 0.500950i) q^{23} +(6.75903 - 5.12925i) q^{24} +(-0.939693 + 0.342020i) q^{25} +(3.26837 - 8.54318i) q^{26} +(-4.49863 - 7.79185i) q^{27} +(0.709525 - 1.76761i) q^{28} +(-0.111039 + 0.132332i) q^{29} +(-3.29399 + 2.67358i) q^{30} +(-2.18008 + 3.77601i) q^{31} +(-5.14025 - 2.36174i) q^{32} +(-12.3058 + 2.16985i) q^{33} +(10.1515 + 0.165742i) q^{34} +(-0.325722 + 0.894913i) q^{35} +(-6.33523 + 10.1896i) q^{36} +3.84952i q^{37} +(5.10495 - 3.45536i) q^{38} +19.4029i q^{39} +(2.60731 + 1.09634i) q^{40} +(-0.422225 + 1.16006i) q^{41} +(-0.0659561 + 4.03975i) q^{42} +(12.5744 - 2.21721i) q^{43} +(5.14376 + 6.55319i) q^{44} +(2.99961 - 5.19547i) q^{45} +(-2.57108 - 3.16770i) q^{46} +(-4.56576 + 5.44126i) q^{47} +(11.9739 + 0.783025i) q^{48} +(-3.04652 - 5.27672i) q^{49} +(-1.32085 - 0.505319i) q^{50} +(-20.2378 + 7.36595i) q^{51} +(11.4080 - 6.09877i) q^{52} +(-3.93418 - 0.693702i) q^{53} +(2.41377 - 12.4930i) q^{54} +(-2.67747 - 3.19089i) q^{55} +(2.39590 - 1.23100i) q^{56} +(-7.49491 + 10.7150i) q^{57} +(-0.241250 + 0.0384892i) q^{58} +(1.70839 - 1.43351i) q^{59} +(-5.99654 - 0.195861i) q^{60} +(-0.168121 + 0.953461i) q^{61} +(-5.82799 + 2.01410i) q^{62} +(-1.95408 - 5.36878i) q^{63} +(-3.30328 - 7.28617i) q^{64} +(-5.60139 + 3.23396i) q^{65} +(-15.1577 - 9.08444i) q^{66} +(-5.09504 - 4.27524i) q^{67} +(10.6920 + 9.58353i) q^{68} +(7.49474 + 4.32709i) q^{69} +(-1.17722 + 0.654281i) q^{70} +(-1.76594 - 10.0151i) q^{71} +(-16.2100 + 5.01594i) q^{72} +(0.317628 + 0.115607i) q^{73} +(-3.56698 + 4.11270i) q^{74} +2.99987 q^{75} +(8.65570 + 1.03867i) q^{76} -3.96692 q^{77} +(-17.9788 + 20.7294i) q^{78} +(9.56659 + 3.48195i) q^{79} +(1.76969 + 3.58723i) q^{80} +(1.56161 + 8.85631i) q^{81} +(-1.52600 + 0.848128i) q^{82} +(-6.45533 - 3.72698i) q^{83} +(-3.81371 + 4.25482i) q^{84} +(-5.49957 - 4.61469i) q^{85} +(15.4886 + 9.28272i) q^{86} +(0.448790 - 0.259109i) q^{87} +(-0.576783 + 11.7674i) q^{88} +(0.223306 + 0.613529i) q^{89} +(8.01882 - 2.77122i) q^{90} +(-1.06962 + 6.06613i) q^{91} +(0.188351 - 5.76663i) q^{92} +(10.0198 - 8.40762i) q^{93} +(-9.91980 + 1.58261i) q^{94} +(-4.34250 - 0.377775i) q^{95} +(12.0670 + 11.9316i) q^{96} +(10.0901 + 12.0249i) q^{97} +(1.63463 - 8.46039i) q^{98} +(24.6095 + 4.33933i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 120 q + 3 q^{2} - 3 q^{4} + 3 q^{6} - 36 q^{8} + 6 q^{9}+O(q^{10}) $ 120 * q + 3 * q^2 - 3 * q^4 + 3 * q^6 - 36 * q^8 + 6 * q^9	$ 120 q + 3 q^{2} - 3 q^{4} + 3 q^{6} - 36 q^{8} + 6 q^{9} + 3 q^{10} - 12 q^{13} - 18 q^{14} + 9 q^{16} + 48 q^{17} - 12 q^{21} - 18 q^{24} - 24 q^{26} + 69 q^{28} - 12 q^{30} - 27 q^{32} + 6 q^{33} - 18 q^{34} - 72 q^{36} - 48 q^{38} - 36 q^{41} - 27 q^{42} - 99 q^{44} + 60 q^{45} + 27 q^{46} - 63 q^{48} + 60 q^{49} + 33 q^{52} - 24 q^{53} + 21 q^{54} - 48 q^{57} + 6 q^{60} - 24 q^{61} + 54 q^{62} + 84 q^{64} - 18 q^{65} - 132 q^{66} + 66 q^{68} - 72 q^{69} + 36 q^{70} - 42 q^{72} + 66 q^{74} + 180 q^{76} + 60 q^{77} + 114 q^{78} + 27 q^{80} - 66 q^{81} + 33 q^{82} - 144 q^{84} - 48 q^{85} + 75 q^{86} + 9 q^{88} - 3 q^{90} - 42 q^{92} - 144 q^{93} + 78 q^{96} + 42 q^{97} - 87 q^{98}+O(q^{100}) $ 120 * q + 3 * q^2 - 3 * q^4 + 3 * q^6 - 36 * q^8 + 6 * q^9 + 3 * q^10 - 12 * q^13 - 18 * q^14 + 9 * q^16 + 48 * q^17 - 12 * q^21 - 18 * q^24 - 24 * q^26 + 69 * q^28 - 12 * q^30 - 27 * q^32 + 6 * q^33 - 18 * q^34 - 72 * q^36 - 48 * q^38 - 36 * q^41 - 27 * q^42 - 99 * q^44 + 60 * q^45 + 27 * q^46 - 63 * q^48 + 60 * q^49 + 33 * q^52 - 24 * q^53 + 21 * q^54 - 48 * q^57 + 6 * q^60 - 24 * q^61 + 54 * q^62 + 84 * q^64 - 18 * q^65 - 132 * q^66 + 66 * q^68 - 72 * q^69 + 36 * q^70 - 42 * q^72 + 66 * q^74 + 180 * q^76 + 60 * q^77 + 114 * q^78 + 27 * q^80 - 66 * q^81 + 33 * q^82 - 144 * q^84 - 48 * q^85 + 75 * q^86 + 9 * q^88 - 3 * q^90 - 42 * q^92 - 144 * q^93 + 78 * q^96 + 42 * q^97 - 87 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/380\mathbb{Z}\right)^\times$.

$n$	$21$	$77$	$191$
$\chi(n)$	$e\left(\frac{5}{18}\right)$	$1$	$-1$

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 $

$2$	1.06837	+	0.926603i	0.755449	+	0.655207i
$2$	1.06837	+	0.926603i	0.755449	+	0.655207i
$3$	−2.81895	−	1.02602i	−1.62752	−	0.592370i	−0.642730	−	0.766093i	$-0.722198\pi$
$3$	−2.81895	−	1.02602i	−1.62752	−	0.592370i	−0.984795	+	0.173723i	$0.944420\pi$
$4$	0.282813	+	1.97990i	0.141407	+	0.989952i
$5$	−0.173648	−	0.984808i	−0.0776578	−	0.440419i
$5$	−0.173648	−	0.984808i	−0.0776578	−	0.440419i
$6$	−2.06097	−	3.70821i	−0.841386	−	1.51387i
$7$	−0.824757	−	0.476173i	−0.311729	−	0.179977i	0.335971	−	0.941872i	$-0.390936\pi$
$7$	−0.824757	−	0.476173i	−0.311729	−	0.179977i	−0.647700	+	0.761896i	$0.724269\pi$
$8$	−1.53244	+	2.37732i	−0.541798	+	0.840509i
$9$	4.59567	+	3.85622i	1.53189	+	1.28541i
$10$	0.727006	−	1.21304i	0.229899	−	0.383596i
$11$	3.60735	−	2.08271i	1.08766	−	0.627959i	0.154705	−	0.987961i	$-0.450557\pi$
$11$	3.60735	−	2.08271i	1.08766	−	0.627959i	0.932952	+	0.360001i	$0.117224\pi$
$12$	1.23417	−	5.87143i	0.356275	−	1.69494i
$13$	−2.21216	−	6.07786i	−0.613543	−	1.68570i	−0.722258	−	0.691623i	$-0.756896\pi$
$13$	−2.21216	−	6.07786i	−0.613543	−	1.68570i	0.108715	−	0.994073i	$-0.465326\pi$
$14$	−0.439918	−	1.27295i	−0.117573	−	0.340210i
$15$	−0.520922	+	2.95429i	−0.134501	+	0.762796i
$16$	−3.84003	+	1.11989i	−0.960008	+	0.279972i
$17$	5.49957	−	4.61469i	1.33384	−	1.11923i	0.350679	−	0.936496i	$-0.385951\pi$
$17$	5.49957	−	4.61469i	1.33384	−	1.11923i	0.983163	−	0.182731i	$-0.0584937\pi$
$18$	1.33667	+	8.37821i	0.315056	+	1.97476i
$19$	1.12610	−	4.21093i	0.258346	−	0.966053i
$19$	1.12610	−	4.21093i	0.258346	−	0.966053i
$20$	1.90071	−	0.622323i	0.425013	−	0.139156i
$21$	1.83639	+	2.18852i	0.400733	+	0.477575i
$22$	5.78381	+	1.11749i	1.23311	+	0.238250i
$23$	−2.84103	−	0.500950i	−0.592395	−	0.104455i	−0.130590	−	0.991437i	$-0.541687\pi$
$23$	−2.84103	−	0.500950i	−0.592395	−	0.104455i	−0.461805	+	0.886981i	$0.652798\pi$
$24$	6.75903	−	5.12925i	1.37968	−	1.04700i
$25$	−0.939693	+	0.342020i	−0.187939	+	0.0684040i
$26$	3.26837	−	8.54318i	0.640980	−	1.67546i
$27$	−4.49863	−	7.79185i	−0.865761	−	1.49954i
$28$	0.709525	−	1.76761i	0.134088	−	0.334046i
$29$	−0.111039	+	0.132332i	−0.0206195	+	0.0245734i	−0.776256	−	0.630418i	$-0.782883\pi$
$29$	−0.111039	+	0.132332i	−0.0206195	+	0.0245734i	0.755636	+	0.654992i	$0.227328\pi$
$30$	−3.29399	+	2.67358i	−0.601398	+	0.488127i
$31$	−2.18008	+	3.77601i	−0.391554	+	0.678192i	−0.992655	−	0.120981i	$-0.961396\pi$
$31$	−2.18008	+	3.77601i	−0.391554	+	0.678192i	0.601100	+	0.799174i	$0.294729\pi$
$32$	−5.14025	−	2.36174i	−0.908677	−	0.417500i
$33$	−12.3058	+	2.16985i	−2.14217	+	0.377723i
$34$	10.1515	+	0.165742i	1.74098	+	0.0284245i
$35$	−0.325722	+	0.894913i	−0.0550570	+	0.151268i
$36$	−6.33523	+	10.1896i	−1.05587	+	1.69826i
$37$			3.84952i			0.632857i	0.948616	+	0.316428i	$0.102484\pi$
$37$			3.84952i			0.632857i	−0.948616	+	0.316428i	$0.897516\pi$
$38$	5.10495	−	3.45536i	0.828132	−	0.560534i
$39$			19.4029i			3.10696i
$40$	2.60731	+	1.09634i	0.412251	+	0.173346i
$41$	−0.422225	+	1.16006i	−0.0659405	+	0.181170i	−0.968287	−	0.249842i	$-0.919621\pi$
$41$	−0.422225	+	1.16006i	−0.0659405	+	0.181170i	0.902346	+	0.431012i	$0.141843\pi$
$42$	−0.0659561	+	4.03975i	−0.0101773	+	0.623347i
$43$	12.5744	−	2.21721i	1.91759	−	0.338122i	0.919143	−	0.393924i	$-0.128883\pi$
$43$	12.5744	−	2.21721i	1.91759	−	0.338122i	0.998442	+	0.0558016i	$0.0177714\pi$
$44$	5.14376	+	6.55319i	0.775451	+	0.987930i
$45$	2.99961	−	5.19547i	0.447155	−	0.774495i
$46$	−2.57108	−	3.16770i	−0.379085	−	0.467052i
$47$	−4.56576	+	5.44126i	−0.665985	+	0.793690i	−0.988231	−	0.152966i	$-0.951118\pi$
$47$	−4.56576	+	5.44126i	−0.665985	+	0.793690i	0.322247	+	0.946656i	$0.395562\pi$
$48$	11.9739	+	0.783025i	1.72828	+	0.113020i
$49$	−3.04652	−	5.27672i	−0.435217	−	0.753818i
$50$	−1.32085	−	0.505319i	−0.186797	−	0.0714629i
$51$	−20.2378	+	7.36595i	−2.83386	+	1.03144i
$52$	11.4080	−	6.09877i	1.58200	−	0.845747i
$53$	−3.93418	−	0.693702i	−0.540401	−	0.0952873i	−0.103216	−	0.994659i	$-0.532913\pi$
$53$	−3.93418	−	0.693702i	−0.540401	−	0.0952873i	−0.437185	+	0.899372i	$0.644025\pi$
$54$	2.41377	−	12.4930i	0.328473	−	1.70008i
$55$	−2.67747	−	3.19089i	−0.361031	−	0.430259i
$56$	2.39590	−	1.23100i	0.320166	−	0.164500i
$57$	−7.49491	+	10.7150i	−0.992725	+	1.41924i
$58$	−0.241250	+	0.0384892i	−0.0316776	+	0.00505388i
$59$	1.70839	−	1.43351i	0.222413	−	0.186627i	−0.524772	−	0.851243i	$-0.675849\pi$
$59$	1.70839	−	1.43351i	0.222413	−	0.186627i	0.747185	+	0.664616i	$0.231405\pi$
$60$	−5.99654	−	0.195861i	−0.774150	−	0.0252855i
$61$	−0.168121	+	0.953461i	−0.0215257	+	0.122078i	−0.993677	−	0.112275i	$-0.964186\pi$
$61$	−0.168121	+	0.953461i	−0.0215257	+	0.122078i	0.972151	+	0.234353i	$0.0752973\pi$
$62$	−5.82799	+	2.01410i	−0.740156	+	0.255790i
$63$	−1.95408	−	5.36878i	−0.246190	−	0.676402i
$64$	−3.30328	−	7.28617i	−0.412910	−	0.910772i
$65$	−5.60139	+	3.23396i	−0.694767	+	0.401124i
$66$	−15.1577	−	9.08444i	−1.86579	−	1.11822i
$67$	−5.09504	−	4.27524i	−0.622458	−	0.522304i	0.276117	−	0.961124i	$-0.410952\pi$
$67$	−5.09504	−	4.27524i	−0.622458	−	0.522304i	−0.898575	+	0.438820i	$0.855397\pi$
$68$	10.6920	+	9.58353i	1.29659	+	1.16217i
$69$	7.49474	+	4.32709i	0.902261	+	0.520921i
$70$	−1.17722	+	0.654281i	−0.140705	+	0.0782015i
$71$	−1.76594	−	10.0151i	−0.209578	−	1.18858i	−0.890071	−	0.455822i	$-0.849345\pi$
$71$	−1.76594	−	10.0151i	−0.209578	−	1.18858i	0.680493	−	0.732755i	$-0.261766\pi$
$72$	−16.2100	+	5.01594i	−1.91037	+	0.591135i
$73$	0.317628	+	0.115607i	0.0371756	+	0.0135308i	0.360541	−	0.932743i	$-0.382592\pi$
$73$	0.317628	+	0.115607i	0.0371756	+	0.0135308i	−0.323365	+	0.946274i	$0.604814\pi$
$74$	−3.56698	+	4.11270i	−0.414653	+	0.478091i
$75$	2.99987			0.346395
$76$	8.65570	+	1.03867i	0.992877	+	0.119143i
$77$	−3.96692			−0.452072
$78$	−17.9788	+	20.7294i	−2.03570	+	2.34715i
$79$	9.56659	+	3.48195i	1.07633	+	0.391750i	0.818539	−	0.574451i	$-0.194785\pi$
$79$	9.56659	+	3.48195i	1.07633	+	0.391750i	0.257787	+	0.966202i	$0.417007\pi$
$80$	1.76969	+	3.58723i	0.197857	+	0.401064i
$81$	1.56161	+	8.85631i	0.173512	+	0.984035i
$82$	−1.52600	+	0.848128i	−0.168519	+	0.0936601i
$83$	−6.45533	−	3.72698i	−0.708564	−	0.409090i	0.101965	−	0.994788i	$-0.467487\pi$
$83$	−6.45533	−	3.72698i	−0.708564	−	0.409090i	−0.810529	+	0.585698i	$0.800820\pi$
$84$	−3.81371	+	4.25482i	−0.416110	+	0.464239i
$85$	−5.49957	−	4.61469i	−0.596512	−	0.500533i
$86$	15.4886	+	9.28272i	1.67018	+	1.00098i
$87$	0.448790	−	0.259109i	0.0481153	−	0.0277794i
$88$	−0.576783	+	11.7674i	−0.0614853	+	1.25441i
$89$	0.223306	+	0.613529i	0.0236704	+	0.0650339i	0.950965	−	0.309298i	$-0.100094\pi$
$89$	0.223306	+	0.613529i	0.0236704	+	0.0650339i	−0.927295	+	0.374332i	$0.877872\pi$
$90$	8.01882	−	2.77122i	0.845258	−	0.292113i
$91$	−1.06962	+	6.06613i	−0.112127	+	0.635903i
$92$	0.188351	−	5.76663i	0.0196370	−	0.601213i
$93$	10.0198	−	8.40762i	1.03901	−	0.871829i
$94$	−9.91980	+	1.58261i	−1.02315	+	0.163234i
$95$	−4.34250	−	0.377775i	−0.445531	−	0.0387589i
$96$	12.0670	+	11.9316i	1.23158	+	1.21776i
$97$	10.0901	+	12.0249i	1.02449	+	1.22094i	0.975008	+	0.222168i	$0.0713135\pi$
$97$	10.0901	+	12.0249i	1.02449	+	1.22094i	0.0494848	+	0.998775i	$0.484242\pi$
$98$	1.63463	−	8.46039i	0.165123	−	0.854628i
$99$	24.6095	+	4.33933i	2.47335	+	0.436119i
$100$	−0.942924	−	1.76377i	−0.0942924	−	0.176377i
$101$	0.482056	−	0.175454i	0.0479664	−	0.0174583i	−0.317926	−	0.948116i	$-0.602986\pi$
$101$	0.482056	−	0.175454i	0.0479664	−	0.0174583i	0.365892	+	0.930657i	$0.380764\pi$
$102$	−28.4467	−	10.8829i	−2.81664	−	1.07756i
$103$	2.29085	+	3.96787i	0.225724	+	0.390965i	0.956536	−	0.291613i	$-0.0941919\pi$
$103$	2.29085	+	3.96787i	0.225724	+	0.390965i	−0.730812	+	0.682578i	$0.760859\pi$
$104$	17.8390	+	4.05493i	1.74926	+	0.397618i
$105$	1.83639	−	2.18852i	0.179213	−	0.213578i
$106$	−3.56036	−	4.38655i	−0.345813	−	0.426060i
$107$	−3.53903	+	6.12978i	−0.342131	+	0.592588i	−0.984828	−	0.173532i	$-0.944482\pi$
$107$	−3.53903	+	6.12978i	−0.342131	+	0.592588i	0.642697	+	0.766120i	$0.277815\pi$
$108$	14.1548	−	11.1105i	1.36205	−	1.06911i
$109$	−2.37613	+	0.418975i	−0.227592	+	0.0401306i	−0.286281	−	0.958146i	$-0.592419\pi$
$109$	−2.37613	+	0.418975i	−0.227592	+	0.0401306i	0.0586891	+	0.998276i	$0.481308\pi$
$110$	0.0961646	−	5.88999i	0.00916894	−	0.561589i
$111$	3.94967	−	10.8516i	0.374886	−	1.02999i
$112$	3.70035	+	0.904888i	0.349651	+	0.0855039i
$113$		−	4.57785i		−	0.430647i	−0.976543	−	0.215324i	$-0.930919\pi$
$113$		−	4.57785i		−	0.430647i	0.976543	−	0.215324i	$-0.0690807\pi$
$114$	−17.9359	+	4.50275i	−1.67985	+	0.421722i
$115$			2.88485i			0.269014i
$116$	−0.293407	−	0.182422i	−0.0272422	−	0.0169375i
$117$	13.2712	−	36.4624i	1.22693	−	3.37095i
$118$	3.15347	+	0.0514860i	0.290301	+	0.00473968i
$119$	−6.73320	+	1.18725i	−0.617232	+	0.108835i
$120$	−6.22502	−	5.76566i	−0.568264	−	0.526331i
$121$	3.17532	−	5.49982i	0.288666	−	0.499983i
$122$	−1.06309	+	0.862864i	−0.0962481	+	0.0781201i
$123$	2.38047	−	2.83693i	0.214640	−	0.255798i
$124$	−8.09270	−	3.24845i	−0.726746	−	0.291719i
$125$	0.500000	+	0.866025i	0.0447214	+	0.0774597i
$126$	2.88706	−	7.54647i	0.257200	−	0.672293i
$127$	6.68967	−	2.43484i	0.593612	−	0.216057i	−0.0277052	−	0.999616i	$-0.508820\pi$
$127$	6.68967	−	2.43484i	0.593612	−	0.216057i	0.621317	+	0.783559i	$0.286598\pi$
$128$	3.22228	−	10.8451i	0.284812	−	0.958583i
$129$	−37.7217	−	6.65135i	−3.32121	−	0.585619i
$130$	−8.98094	−	1.73521i	−0.787680	−	0.152188i
$131$	0.660577	+	0.787245i	0.0577149	+	0.0687819i	0.794130	−	0.607749i	$-0.207927\pi$
$131$	0.660577	+	0.787245i	0.0577149	+	0.0687819i	−0.736415	+	0.676530i	$0.763483\pi$
$132$	−7.77636	−	23.7507i	−0.676845	−	2.06724i
$133$	−2.93389	+	2.93677i	−0.254401	+	0.254650i
$134$	−1.48191	−	9.28860i	−0.128018	−	0.802413i
$135$	−6.89229	+	5.78332i	−0.593194	+	0.497749i
$136$	2.54284	+	20.1459i	0.218047	+	1.72750i
$137$	−0.205092	+	1.16313i	−0.0175222	+	0.0993731i	−0.992315	−	0.123740i	$-0.960511\pi$
$137$	−0.205092	+	1.16313i	−0.0175222	+	0.0993731i	0.974792	+	0.223114i	$0.0716221\pi$
$138$	3.99764	+	11.5676i	0.340301	+	0.984697i
$139$	3.31064	+	9.09591i	0.280805	+	0.771505i	0.997267	+	0.0738792i	$0.0235379\pi$
$139$	3.31064	+	9.09591i	0.280805	+	0.771505i	−0.716462	+	0.697626i	$0.754240\pi$
$140$	−1.86396	−	0.391804i	−0.157533	−	0.0331135i
$141$	18.4535	−	10.6541i	1.55406	−	0.897240i
$142$	7.39338	−	12.3361i	0.620438	−	1.03523i
$143$	−20.6384	−	17.3177i	−1.72587	−	1.44818i
$144$	−21.9660	−	9.66139i	−1.83050	−	0.805116i
$145$	0.149603	+	0.0863734i	0.0124239	+	0.00717292i
$146$	0.232221	+	0.417826i	0.0192188	+	0.0345795i
$147$	3.17399	+	18.0006i	0.261787	+	1.48467i
$148$	−7.62167	+	1.08870i	−0.626498	+	0.0894902i
$149$	16.6352	+	6.05470i	1.36281	+	0.496021i	0.916921	−	0.399070i	$-0.130667\pi$
$149$	16.6352	+	6.05470i	1.36281	+	0.496021i	0.445885	+	0.895090i	$0.352889\pi$
$150$	3.20496	+	2.77969i	0.261684	+	0.226961i
$151$	16.0357			1.30497			0.652484	−	0.757802i	$-0.273727\pi$
$151$	16.0357			1.30497			0.652484	+	0.757802i	$0.273727\pi$
$152$	8.28503	+	9.13008i	0.672005	+	0.740547i
$153$	43.0695			3.48196
$154$	−4.23812	−	3.67576i	−0.341517	−	0.296201i
$155$	4.09722	+	1.49126i	0.329096	+	0.119781i
$156$	−38.4159	+	5.48741i	−3.07574	+	0.439345i
$157$	0.704982	+	3.99815i	0.0562637	+	0.319087i	0.999930	−	0.0118106i	$-0.00375952\pi$
$157$	0.704982	+	3.99815i	0.0562637	+	0.319087i	−0.943667	+	0.330898i	$0.892648\pi$
$158$	6.99423	+	12.5844i	0.556431	+	1.00116i
$159$	10.3785	+	5.99205i	0.823071	+	0.475200i
$160$	−1.43326	+	5.47227i	−0.113309	+	0.432621i
$161$	2.10462	+	1.76598i	0.165867	+	0.139179i
$162$	−6.53792	+	10.9088i	−0.513667	+	0.857074i
$163$	17.1112	−	9.87915i	1.34025	−	0.773794i	0.353407	−	0.935470i	$-0.385023\pi$
$163$	17.1112	−	9.87915i	1.34025	−	0.773794i	0.986844	+	0.161675i	$0.0516897\pi$
$164$	−2.41621	−	0.507886i	−0.188674	−	0.0396593i
$165$	4.27378	+	11.7421i	0.332713	+	0.914121i
$166$	−3.44322	−	9.96331i	−0.267246	−	0.773303i
$167$	−0.114291	+	0.648176i	−0.00884409	+	0.0501573i	−0.988910	−	0.148513i	$-0.952551\pi$
$167$	−0.114291	+	0.648176i	−0.00884409	+	0.0501573i	0.980066	+	0.198671i	$0.0636624\pi$
$168$	−8.01697	+	1.01191i	−0.618523	+	0.0780705i
$169$	−22.0882	+	18.5342i	−1.69909	+	1.42571i
$170$	−1.59957	−	10.0261i	−0.122682	−	0.768967i
$171$	21.4134	−	15.0095i	1.63753	−	1.14781i
$172$	7.94609	+	24.2691i	0.605884	+	1.85050i
$173$	−10.8375	−	12.9156i	−0.823956	−	0.981953i	0.176041	−	0.984383i	$-0.443671\pi$
$173$	−10.8375	−	12.9156i	−0.823956	−	0.981953i	−0.999997	+	0.00243016i	$0.999226\pi$
$174$	0.719563	+	0.139027i	0.0545499	+	0.0105396i
$175$	0.937879	+	0.165373i	0.0708970	+	0.0125010i
$176$	−11.5200	+	12.0375i	−0.868349	+	0.907359i
$177$	−6.28666	+	2.28816i	−0.472534	+	0.171988i
$178$	−0.329925	+	0.862390i	−0.0247289	+	0.0646389i
$179$	−4.29090	−	7.43205i	−0.320717	−	0.555498i	0.659919	−	0.751336i	$-0.270590\pi$
$179$	−4.29090	−	7.43205i	−0.320717	−	0.555498i	−0.980636	+	0.195839i	$0.937257\pi$
$180$	11.1349	+	4.46958i	0.829944	+	0.333143i
$181$	−7.99468	+	9.52769i	−0.594240	+	0.708188i	−0.976415	−	0.215902i	$-0.930731\pi$
$181$	−7.99468	+	9.52769i	−0.594240	+	0.708188i	0.382175	+	0.924090i	$0.375175\pi$
$182$	−6.76365	+	5.48974i	−0.501355	+	0.406926i
$183$	1.45219	−	2.51527i	0.107349	−	0.185934i
$184$	5.54461	−	5.98635i	0.408754	−	0.441320i
$185$	3.79104	−	0.668462i	0.278722	−	0.0491463i
$186$	18.4953	+	0.301969i	1.35614	+	0.0221415i
$187$	10.2279	−	28.1008i	0.747935	−	2.05493i
$188$	−12.0644	−	7.50090i	−0.879889	−	0.547060i
$189$			8.56851i			0.623267i
$190$	−4.28933	−	4.42737i	−0.311181	−	0.321195i
$191$			3.09933i			0.224259i	0.993694	+	0.112130i	$0.0357672\pi$
$191$			3.09933i			0.224259i	−0.993694	+	0.112130i	$0.964233\pi$
$192$	1.83607	+	23.9286i	0.132507	+	1.72690i
$193$	−4.24940	+	11.6751i	−0.305879	+	0.840395i	0.687570	+	0.726118i	$0.258677\pi$
$193$	−4.24940	+	11.6751i	−0.305879	+	0.840395i	−0.993449	+	0.114277i	$0.963545\pi$
$194$	−0.362397	+	22.1965i	−0.0260186	+	1.59362i
$195$	19.1082	−	3.36928i	1.36836	−	0.241279i
$196$	9.58581	−	7.52414i	0.684700	−	0.537438i
$197$	−4.82663	+	8.35998i	−0.343883	+	0.595624i	−0.985150	−	0.171694i	$-0.945076\pi$
$197$	−4.82663	+	8.35998i	−0.343883	+	0.595624i	0.641267	+	0.767318i	$0.278409\pi$
$198$	22.2712	+	27.4393i	1.58274	+	1.95002i
$199$	−8.58402	+	10.2300i	−0.608505	+	0.725188i	−0.979049	−	0.203627i	$-0.934727\pi$
$199$	−8.58402	+	10.2300i	−0.608505	+	0.725188i	0.370543	+	0.928815i	$0.379172\pi$
$200$	0.626928	−	2.75807i	0.0443305	−	0.195025i
$201$	9.97621	+	17.2793i	0.703668	+	1.21879i
$202$	0.677589	+	0.259225i	0.0476750	+	0.0182390i
$203$	0.154593	−	0.0562674i	0.0108503	−	0.00394920i
$204$	−20.3074	−	37.9857i	−1.42180	−	2.65953i
$205$	1.21575	+	0.214370i	0.0849117	+	0.0149722i
$206$	−1.22917	+	6.36184i	−0.0856404	+	0.443251i
$207$	−11.1246	−	13.2578i	−0.773216	−	0.921483i
$208$	15.3013	+	20.8618i	1.06095	+	1.44651i
$209$	−4.70787	−	17.5356i	−0.325650	−	1.21296i
$210$	3.98983	−	0.636541i	0.275325	−	0.0439255i
$211$	5.50229	−	4.61697i	0.378793	−	0.317845i	−0.433435	−	0.901185i	$-0.642699\pi$
$211$	5.50229	−	4.61697i	0.378793	−	0.317845i	0.812228	+	0.583339i	$0.198254\pi$
$212$	0.260824	−	7.98549i	0.0179135	−	0.548445i
$213$	−5.29758	+	30.0441i	−0.362984	+	2.05858i
$214$	−9.46086	+	3.26958i	−0.646731	+	0.223504i
$215$	−4.36706	−	11.9984i	−0.297831	−	0.818284i
$216$	25.4176	+	1.24585i	1.72945	+	0.0847691i
$217$	3.59608	−	2.07620i	0.244118	−	0.140941i
$218$	−2.92680	−	1.75411i	−0.198228	−	0.118803i
$219$	−0.776765	−	0.651783i	−0.0524889	−	0.0440434i
$220$	5.56043	−	6.20357i	0.374884	−	0.418244i
$221$	−40.2134	−	23.2172i	−2.70505	−	1.56176i
$222$	14.2748	−	7.93373i	0.958064	−	0.532477i
$223$	3.29483	+	18.6859i	0.220638	+	1.25130i	0.870850	+	0.491549i	$0.163569\pi$
$223$	3.29483	+	18.6859i	0.220638	+	1.25130i	−0.650211	+	0.759753i	$0.725320\pi$
$224$	3.11486	+	4.39551i	0.208120	+	0.293687i
$225$	−5.63742	−	2.05185i	−0.375828	−	0.136790i
$226$	4.24185	−	4.89082i	0.282163	−	0.325332i
$227$	−7.78035			−0.516400			−0.258200	−	0.966091i	$-0.583129\pi$
$227$	−7.78035			−0.516400			−0.258200	+	0.966091i	$0.583129\pi$
$228$	−23.3343	−	11.8088i	−1.54535	−	0.782060i
$229$	22.4378			1.48273			0.741367	−	0.671100i	$-0.234178\pi$
$229$	22.4378			1.48273			0.741367	+	0.671100i	$0.234178\pi$
$230$	−2.67312	+	3.08208i	−0.176260	+	0.203226i
$231$	11.1826	+	4.07012i	0.735758	+	0.267794i
$232$	−0.144434	−	0.466766i	−0.00948253	−	0.0306447i
$233$	2.71712	+	15.4095i	0.178004	+	1.00951i	0.934619	+	0.355651i	$0.115741\pi$
$233$	2.71712	+	15.4095i	0.178004	+	1.00951i	−0.756614	+	0.653861i	$0.773148\pi$
$234$	47.9647	−	26.6581i	3.13555	−	1.74269i
$235$	6.15143	+	3.55153i	0.401275	+	0.231676i
$236$	3.32136	+	2.97702i	0.216202	+	0.193788i
$237$	−23.3952	−	19.6309i	−1.51968	−	1.27517i
$238$	−8.29363	−	4.97059i	−0.537596	−	0.322196i
$239$	8.18300	−	4.72446i	0.529314	−	0.305600i	−0.211423	−	0.977395i	$-0.567810\pi$
$239$	8.18300	−	4.72446i	0.529314	−	0.305600i	0.740737	+	0.671795i	$0.234476\pi$
$240$	−1.30812	−	11.9280i	−0.0844386	−	0.769947i
$241$	−4.07270	−	11.1896i	−0.262346	−	0.720789i	−0.999008	−	0.0445281i	$-0.985822\pi$
$241$	−4.07270	−	11.1896i	−0.262346	−	0.720789i	0.736663	−	0.676261i	$-0.236401\pi$
$242$	8.48855	−	2.93356i	0.545665	−	0.188576i
$243$	−0.00245377	+	0.0139160i	−0.000157409	+	0.000892713i
$244$	−1.93531	−	0.0632115i	−0.123895	−	0.00404670i
$245$	−4.66754	+	3.91653i	−0.298198	+	0.250218i
$246$	5.17192	−	0.825133i	0.329750	−	0.0526086i
$247$	−28.0846	+	2.47095i	−1.78698	+	0.157223i
$248$	−5.63595	−	10.9693i	−0.357883	−	0.696548i
$249$	14.3733	+	17.1295i	0.910873	+	1.08554i
$250$	−0.268279	+	1.38853i	−0.0169674	+	0.0878186i
$251$	−12.1285	−	2.13857i	−0.765541	−	0.134986i	−0.222776	−	0.974870i	$-0.571512\pi$
$251$	−12.1285	−	2.13857i	−0.765541	−	0.134986i	−0.542766	+	0.839884i	$0.682623\pi$
$252$	10.0770	−	5.38724i	0.634793	−	0.339364i
$253$	−11.2919	+	4.10992i	−0.709916	+	0.258388i
$254$	9.40315	+	3.59737i	0.590006	+	0.225719i
$255$	10.7683	+	18.6512i	0.674337	+	1.16799i
$256$	13.4917	−	8.60080i	0.843232	−	0.537550i
$257$	4.10952	−	4.89754i	0.256345	−	0.305500i	−0.622488	−	0.782629i	$-0.713878\pi$
$257$	4.10952	−	4.89754i	0.256345	−	0.305500i	0.878833	+	0.477129i	$0.158323\pi$
$258$	−34.1374	−	42.0591i	−2.12530	−	2.61849i
$259$	1.83304	−	3.17492i	0.113899	−	0.197280i
$260$	−7.98708	−	10.1756i	−0.495338	−	0.631064i
$261$	−1.02060	+	0.179959i	−0.0631736	+	0.0111392i
$262$	−0.0237254	+	1.45316i	−0.00146576	+	0.0897765i
$263$	−2.14732	+	5.89972i	−0.132410	+	0.363792i	−0.988125	−	0.153655i	$-0.950896\pi$
$263$	−2.14732	+	5.89972i	−0.132410	+	0.363792i	0.855715	+	0.517448i	$0.173118\pi$
$264$	13.6995	−	32.5801i	0.843146	−	2.00516i
$265$			3.99487i			0.245403i
$266$	−5.85569	+	0.418992i	−0.359035	+	0.0256901i
$267$		−	1.95863i		−	0.119866i
$268$	7.02362	−	11.2968i	0.429036	−	0.690060i
$269$	−0.813838	+	2.23600i	−0.0496206	+	0.136331i	−0.962027	−	0.272953i	$-0.912000\pi$
$269$	−0.813838	+	2.23600i	−0.0496206	+	0.136331i	0.912407	+	0.409285i	$0.134222\pi$
$270$	−12.7223	−	0.207715i	−0.774257	−	0.0126411i
$271$	14.1826	−	2.50077i	0.861531	−	0.151911i	0.274610	−	0.961556i	$-0.411451\pi$
$271$	14.1826	−	2.50077i	0.861531	−	0.151911i	0.586921	+	0.809644i	$0.300340\pi$
$272$	−15.9506	+	23.8795i	−0.967148	+	1.44790i
$273$	9.23916	−	16.0027i	0.559180	−	0.968528i
$274$	−1.29687	+	1.05261i	−0.0783471	+	0.0635907i
$275$	−2.67747	+	3.19089i	−0.161458	+	0.192418i
$276$	−6.44761	+	16.0626i	−0.388101	+	0.966857i
$277$	6.48814	+	11.2378i	0.389834	+	0.675213i	0.992427	−	0.122836i	$-0.0391989\pi$
$277$	6.48814	+	11.2378i	0.389834	+	0.675213i	−0.602593	+	0.798049i	$0.705866\pi$
$278$	−4.89132	+	12.7854i	−0.293362	+	0.766818i
$279$	−24.5801	+	8.94642i	−1.47157	+	0.535608i
$280$	−1.62835	−	2.14574i	−0.0973123	−	0.128233i
$281$	5.24174	+	0.924261i	0.312696	+	0.0551368i	0.327794	−	0.944749i	$-0.393695\pi$
$281$	5.24174	+	0.924261i	0.312696	+	0.0551368i	−0.0150977	+	0.999886i	$0.504806\pi$
$282$	29.5872	+	5.71655i	1.76190	+	0.340416i
$283$	−16.5035	−	19.6681i	−0.981031	−	1.16915i	−0.985589	−	0.169158i	$-0.945895\pi$
$283$	−16.5035	−	19.6681i	−0.981031	−	1.16915i	0.00455798	−	0.999990i	$-0.498549\pi$
$284$	19.3295	−	6.32879i	1.14700	−	0.375545i
$285$	11.8537	+	5.52040i	0.702153	+	0.327000i
$286$	−6.00277	−	37.6253i	−0.354952	−	2.22483i
$287$	0.900621	−	0.755711i	0.0531620	−	0.0446082i
$288$	−14.5155	−	30.6757i	−0.855334	−	1.80758i
$289$	5.99792	−	34.0159i	0.352819	−	2.00094i
$290$	0.0797971	+	0.230901i	0.00468584	+	0.0135590i
$291$	−16.1058	−	44.2502i	−0.944137	−	2.59399i
$292$	−0.139062	+	0.661568i	−0.00813796	+	0.0387154i
$293$	17.4143	−	10.0542i	1.01736	−	0.587371i	0.104019	−	0.994575i	$-0.466830\pi$
$293$	17.4143	−	10.0542i	1.01736	−	0.587371i	0.913337	+	0.407205i	$0.133496\pi$
$294$	−13.2884	+	22.1723i	−0.774998	+	1.29311i
$295$	−1.70839	−	1.43351i	−0.0994661	−	0.0834619i
$296$	−9.15153	−	5.89914i	−0.531922	−	0.342881i
$297$	−32.4562	−	18.7386i	−1.88330	−	1.08733i
$298$	12.1621	+	21.8828i	0.704534	+	1.26764i
$299$	3.24011	+	18.3756i	0.187380	+	1.06269i
$300$	0.848403	+	5.93945i	0.0489826	+	0.342914i
$301$	−11.4266	−	4.15896i	−0.658620	−	0.239718i
$302$	17.1320	+	14.8587i	0.985837	+	0.855025i
$303$	−1.53891			−0.0884082
$304$	0.391489	+	17.4312i	0.0224534	+	0.999748i
$305$	0.968170			0.0554372
$306$	46.0140	+	39.9083i	2.63044	+	2.28141i
$307$	30.4836	+	11.0951i	1.73979	+	0.633232i	0.999248	−	0.0387785i	$-0.0123467\pi$
$307$	30.4836	+	11.0951i	1.73979	+	0.633232i	0.740542	+	0.672010i	$0.234569\pi$
$308$	−1.12190	−	7.85411i	−0.0639260	−	0.447529i
$309$	−2.38671	−	13.5357i	−0.135775	−	0.770018i
$310$	2.99552	+	5.38971i	0.170134	+	0.306115i
$311$	−4.03384	−	2.32894i	−0.228738	−	0.132062i	0.381252	−	0.924471i	$-0.375493\pi$
$311$	−4.03384	−	2.32894i	−0.228738	−	0.132062i	−0.609990	+	0.792409i	$0.708826\pi$
$312$	−46.1269	−	29.7338i	−2.61142	−	1.68334i
$313$	4.07961	+	3.42320i	0.230593	+	0.193491i	0.750762	−	0.660573i	$-0.229686\pi$
$313$	4.07961	+	3.42320i	0.230593	+	0.193491i	−0.520169	+	0.854064i	$0.674131\pi$
$314$	−2.95152	+	4.92473i	−0.166564	+	0.277919i
$315$	−4.94789	+	2.85667i	−0.278782	+	0.160955i
$316$	−4.18837	+	19.9257i	−0.235614	+	1.12091i
$317$	8.92551	+	24.5226i	0.501307	+	1.37733i	0.889999	+	0.455962i	$0.150705\pi$
$317$	8.92551	+	24.5226i	0.501307	+	1.37733i	−0.388693	+	0.921367i	$0.627073\pi$
$318$	5.53582	+	16.0185i	0.310434	+	0.898272i
$319$	−0.124950	+	0.708629i	−0.00699588	+	0.0396756i
$320$	−6.60187	+	4.51833i	−0.369056	+	0.252582i
$321$	16.2656	−	13.6485i	0.907859	−	0.761784i
$322$	0.612136	+	3.83686i	0.0341130	+	0.213820i
$323$	−13.2390	−	28.3549i	−0.736640	−	1.57771i
$324$	−17.0930	+	5.59651i	−0.949611	+	0.310917i
$325$	4.15750	+	4.95472i	0.230617	+	0.274838i
$326$	27.4351	+	5.30073i	1.51949	+	0.293580i
$327$	7.12807	+	1.25687i	0.394183	+	0.0695051i
$328$	−2.11079	−	2.78147i	−0.116549	−	0.153581i
$329$	6.35663	−	2.31362i	0.350452	−	0.127554i
$330$	−6.31431	+	16.5050i	−0.347591	+	0.908568i
$331$	−2.69375	−	4.66571i	−0.148062	−	0.256451i	0.782449	−	0.622714i	$-0.213970\pi$
$331$	−2.69375	−	4.66571i	−0.148062	−	0.256451i	−0.930511	+	0.366264i	$0.880637\pi$
$332$	5.55341	−	13.8350i	0.304783	−	0.759292i
$333$	−14.8446	+	17.6911i	−0.813479	+	0.969466i
$334$	−0.722706	+	0.586587i	−0.0395447	+	0.0320966i
$335$	−3.32555	+	5.76002i	−0.181694	+	0.314704i
$336$	−9.50270	−	6.34746i	−0.518415	−	0.346282i
$337$	−4.67184	+	0.823771i	−0.254491	+	0.0448737i	−0.299438	−	0.954116i	$-0.596799\pi$
$337$	−4.67184	+	0.823771i	−0.254491	+	0.0448737i	0.0449469	+	0.998989i	$0.485688\pi$
$338$	−40.7721	−	0.665678i	−2.21771	−	0.0362081i
$339$	−4.69694	+	12.9047i	−0.255103	+	0.700889i
$340$	7.58129	−	12.1937i	0.411153	−	0.661297i
$341$			18.1619i			0.983521i
$342$	36.7853	+	3.80612i	1.98912	+	0.205811i
$343$			12.4691i			0.673269i
$344$	−13.9985	+	33.2912i	−0.754749	+	1.79494i
$345$	2.95991	−	8.13227i	0.159356	−	0.437827i
$346$	0.389240	−	23.8406i	0.0209257	−	1.28168i
$347$	−18.5457	+	3.27011i	−0.995586	+	0.175549i	−0.647624	−	0.761960i	$-0.724237\pi$
$347$	−18.5457	+	3.27011i	−0.995586	+	0.175549i	−0.347962	+	0.937509i	$0.613126\pi$
$348$	0.639934	+	0.815281i	0.0343041	+	0.0437036i
$349$	16.4990	−	28.5772i	0.883173	−	1.52970i	0.0353791	−	0.999374i	$-0.488736\pi$
$349$	16.4990	−	28.5772i	0.883173	−	1.52970i	0.847794	−	0.530326i	$-0.177931\pi$
$350$	0.848763	+	1.04572i	0.0453683	+	0.0558961i
$351$	−37.4061	+	44.5789i	−1.99659	+	2.37944i
$352$	−23.4615	+	2.18601i	−1.25050	+	0.116515i
$353$	7.27324	+	12.5976i	0.387116	+	0.670504i	0.992060	−	0.125764i	$-0.0401381\pi$
$353$	7.27324	+	12.5976i	0.387116	+	0.670504i	−0.604945	+	0.796268i	$0.706805\pi$
$354$	−8.83667	−	3.38065i	−0.469664	−	0.179679i
$355$	−9.55632	+	3.47822i	−0.507197	+	0.184604i
$356$	−1.15157	+	0.615639i	−0.0610333	+	0.0326288i
$357$	20.1987	+	3.56158i	1.06903	+	0.188499i
$358$	2.30231	−	11.9161i	0.121681	−	0.629786i
$359$	16.4417	+	19.5944i	0.867757	+	1.03415i	0.999083	+	0.0428138i	$0.0136322\pi$
$359$	16.4417	+	19.5944i	0.867757	+	1.03415i	−0.131326	+	0.991339i	$0.541923\pi$
$360$	7.75458	+	15.0927i	0.408702	+	0.795458i
$361$	−16.4638	−	9.48386i	−0.866515	−	0.499151i
$362$	−17.3696	+	2.77117i	−0.912928	+	0.145649i
$363$	−14.5940	+	12.2458i	−0.765985	+	0.642738i
$364$	−12.3129	−	0.402166i	−0.645369	−	0.0210792i
$365$	0.0586953	−	0.332878i	0.00307225	−	0.0174236i
$366$	3.88213	−	1.34162i	0.202922	−	0.0701278i
$367$	5.08095	+	13.9598i	0.265223	+	0.728695i	0.998795	+	0.0490827i	$0.0156298\pi$
$367$	5.08095	+	13.9598i	0.265223	+	0.728695i	−0.733571	+	0.679612i	$0.762148\pi$
$368$	11.4706	−	1.25796i	0.597949	−	0.0655759i
$369$	−6.41384	+	3.70303i	−0.333891	+	0.192772i
$370$	4.66961	+	2.79862i	0.242762	+	0.145493i
$371$	2.91442	+	2.44549i	0.151309	+	0.126963i
$372$	19.4800	+	17.4605i	1.00999	+	0.905283i
$373$	−1.50340	−	0.867989i	−0.0778432	−	0.0449428i	0.460573	−	0.887622i	$-0.347644\pi$
$373$	−1.50340	−	0.867989i	−0.0778432	−	0.0449428i	−0.538416	+	0.842679i	$0.680977\pi$
$374$	36.9654	−	20.5448i	1.91143	−	1.06235i
$375$	−0.520922	−	2.95429i	−0.0269003	−	0.152559i
$376$	−5.93887	−	19.1927i	−0.306274	−	0.989786i
$377$	1.04993	+	0.382144i	0.0540742	+	0.0196814i
$378$	−7.93960	+	9.15430i	−0.408369	+	0.470847i
$379$	−30.6664			−1.57522			−0.787612	−	0.616171i	$-0.788683\pi$
$379$	−30.6664			−1.57522			−0.787612	+	0.616171i	$0.788683\pi$
$380$	−0.480160	−	8.70456i	−0.0246317	−	0.446535i
$381$	−21.3561			−1.09410
$382$	−2.87185	+	3.31122i	−0.146936	+	0.169417i
$383$	−18.9712	−	6.90494i	−0.969381	−	0.352826i	−0.191678	−	0.981458i	$-0.561393\pi$
$383$	−18.9712	−	6.90494i	−0.969381	−	0.352826i	−0.777703	+	0.628632i	$0.783615\pi$
$384$	−20.2107	+	27.2658i	−1.03137	+	1.39140i
$385$	0.688848	+	3.90665i	0.0351069	+	0.199101i
$386$	−15.3581	+	8.53582i	−0.781709	+	0.434462i
$387$	66.3380	+	38.3003i	3.37215	+	1.94691i
$388$	−20.9545	+	23.3782i	−1.06380	+	1.18685i
$389$	−12.5121	−	10.4989i	−0.634387	−	0.532314i	0.267902	−	0.963446i	$-0.413670\pi$
$389$	−12.5121	−	10.4989i	−0.634387	−	0.532314i	−0.902289	+	0.431132i	$0.858114\pi$
$390$	23.5365	+	14.1061i	1.19182	+	0.714288i
$391$	−17.9362	+	10.3554i	−0.907071	+	0.523698i
$392$	17.2130	+	0.843700i	0.869390	+	0.0426133i
$393$	−1.05441	−	2.89697i	−0.0531880	−	0.146133i
$394$	−12.9030	+	4.45914i	−0.650043	+	0.224648i
$395$	1.76783	−	10.0259i	0.0889494	−	0.504457i
$396$	−1.63154	+	49.9517i	−0.0819878	+	2.51017i
$397$	−20.4157	+	17.1308i	−1.02463	+	0.859770i	−0.990203	−	0.139637i	$-0.955406\pi$
$397$	−20.4157	+	17.1308i	−1.02463	+	0.859770i	−0.0344314	+	0.999407i	$0.510962\pi$
$398$	−18.6501	+	2.97545i	−0.934844	+	0.149146i
$399$	11.2837	−	5.26840i	0.564890	−	0.263750i
$400$	3.22543	−	2.36572i	0.161271	−	0.118286i
$401$	−0.211287	−	0.251802i	−0.0105512	−	0.0125744i	0.760743	−	0.649053i	$-0.224835\pi$
$401$	−0.211287	−	0.251802i	−0.0105512	−	0.0125744i	−0.771294	+	0.636479i	$0.780390\pi$
$402$	−5.35281	+	27.7046i	−0.266974	+	1.38178i
$403$	27.7728	+	4.89709i	1.38346	+	0.243942i
$404$	0.483714	+	0.904803i	0.0240657	+	0.0450156i
$405$	8.45059	−	3.07576i	0.419913	−	0.152836i
$406$	0.217300	+	0.0831325i	0.0107844	+	0.00412580i
$407$	8.01741	+	13.8866i	0.397408	+	0.688331i
$408$	13.5019	−	59.3995i	0.668444	−	2.94071i
$409$	10.5470	−	12.5694i	0.521514	−	0.621516i	−0.439424	−	0.898280i	$-0.644817\pi$
$409$	10.5470	−	12.5694i	0.521514	−	0.621516i	0.960938	+	0.276764i	$0.0892619\pi$
$410$	1.10023	+	1.35554i	0.0543365	+	0.0669455i
$411$	1.77154	−	3.06839i	0.0873834	−	0.151353i
$412$	−7.20811	+	5.65782i	−0.355118	+	0.278741i
$413$	−2.09160	+	0.368805i	−0.102921	+	0.0181477i
$414$	0.399554	−	24.4723i	0.0196370	−	1.20275i
$415$	−2.54941	+	7.00444i	−0.125145	+	0.343834i
$416$	−2.98325	+	36.4663i	−0.146266	+	1.78791i
$417$		−	29.0377i		−	1.42198i
$418$	11.2188	−	23.0968i	0.548731	−	1.12970i
$419$		−	21.6359i		−	1.05698i	−0.848939	−	0.528491i	$-0.822758\pi$
$419$		−	21.6359i		−	1.05698i	0.848939	−	0.528491i	$-0.177242\pi$
$420$	4.85242	+	3.01693i	0.236774	+	0.147211i
$421$	−1.19543	+	3.28442i	−0.0582617	+	0.160073i	−0.965409	−	0.260741i	$-0.916033\pi$
$421$	−1.19543	+	3.28442i	−0.0582617	+	0.160073i	0.907147	+	0.420814i	$0.138255\pi$
$422$	10.1566	+	0.165824i	0.494414	+	0.00807218i
$423$	−41.9654	+	7.39964i	−2.04043	+	0.359783i
$424$	7.67803	−	8.28974i	0.372878	−	0.402586i
$425$	−3.58959	+	6.21735i	−0.174121	+	0.301586i
$426$	−33.4987	+	27.1893i	−1.62302	+	1.31733i
$427$	0.592672	−	0.706319i	0.0286814	−	0.0341812i
$428$	−13.1373	−	5.27336i	−0.635014	−	0.254897i
$429$	40.4106	+	69.9932i	1.95104	+	3.37930i
$430$	6.45213	−	16.8652i	0.311149	−	0.813313i
$431$	−22.8431	+	8.31421i	−1.10031	+	0.400481i	−0.827432	−	0.561566i	$-0.810199\pi$
$431$	−22.8431	+	8.31421i	−1.10031	+	0.400481i	−0.272882	+	0.962048i	$0.587977\pi$
$432$	26.0009	+	24.8830i	1.25097	+	1.19718i
$433$	24.4792	+	4.31635i	1.17640	+	0.207430i	0.727471	−	0.686139i	$-0.240696\pi$
$433$	24.4792	+	4.31635i	1.17640	+	0.207430i	0.448926	+	0.893569i	$0.351807\pi$
$434$	5.76574	+	1.11400i	0.276764	+	0.0534736i
$435$	−0.333104	−	0.396978i	−0.0159711	−	0.0190336i
$436$	−1.50153	−	4.58601i	−0.0719103	−	0.219630i
$437$	−5.30875	+	11.3992i	−0.253952	+	0.545299i
$438$	−0.225925	−	1.41610i	−0.0107951	−	0.0676637i
$439$	14.8346	−	12.4477i	0.708015	−	0.594095i	−0.216026	−	0.976388i	$-0.569310\pi$
$439$	14.8346	−	12.4477i	0.708015	−	0.594095i	0.924041	+	0.382292i	$0.124865\pi$
$440$	11.6888	−	1.47537i	0.557242	−	0.0703356i
$441$	6.34744	−	35.9981i	0.302259	−	1.71420i
$442$	−21.4495	−	62.0664i	−1.02025	−	2.95220i
$443$	7.46865	+	20.5200i	0.354846	+	0.974933i	0.980790	+	0.195065i	$0.0624916\pi$
$443$	7.46865	+	20.5200i	0.354846	+	0.974933i	−0.625944	+	0.779868i	$0.715286\pi$
$444$	22.6022	+	4.75097i	1.07265	+	0.225471i
$445$	0.565431	−	0.326452i	0.0268040	−	0.0154753i
$446$	−13.7944	+	23.0164i	−0.653181	+	1.08986i
$447$	−40.6815	−	34.1359i	−1.92417	−	1.61457i
$448$	−0.745081	+	7.58226i	−0.0352018	+	0.358228i
$449$	−1.24563	−	0.719164i	−0.0587848	−	0.0339394i	0.470320	−	0.882496i	$-0.344139\pi$
$449$	−1.24563	−	0.719164i	−0.0587848	−	0.0339394i	−0.529104	+	0.848557i	$0.677472\pi$
$450$	−4.12158	−	7.41578i	−0.194293	−	0.349583i
$451$	0.892937	+	5.06410i	0.0420468	+	0.238459i
$452$	9.06369	−	1.29468i	0.426320	−	0.0608964i
$453$	−45.2040	−	16.4529i	−2.12387	−	0.773025i
$454$	−8.31227	−	7.20930i	−0.390114	−	0.338349i
$455$	6.15971			0.288772
$456$	−13.9875	−	34.2378i	−0.655026	−	1.60333i
$457$	37.3379			1.74659			0.873297	−	0.487188i	$-0.161978\pi$
$457$	37.3379			1.74659			0.873297	+	0.487188i	$0.161978\pi$
$458$	23.9718	+	20.7910i	1.12013	+	0.971498i
$459$	−60.6975	−	22.0921i	−2.83312	−	1.03117i
$460$	−5.71173	+	0.815876i	−0.266311	+	0.0380404i
$461$	−1.78844	−	10.1428i	−0.0832960	−	0.472395i	−0.997711	−	0.0676177i	$-0.978460\pi$
$461$	−1.78844	−	10.1428i	−0.0832960	−	0.472395i	0.914415	−	0.404777i	$-0.132651\pi$
$462$	8.17568	+	14.7102i	0.380367	+	0.684379i
$463$	−1.87782	−	1.08416i	−0.0872696	−	0.0503851i	0.455730	−	0.890118i	$-0.349378\pi$
$463$	−1.87782	−	1.08416i	−0.0872696	−	0.0503851i	−0.543000	+	0.839733i	$0.682712\pi$
$464$	0.278199	−	0.632510i	0.0129151	−	0.0293635i
$465$	−10.0198	−	8.40762i	−0.464657	−	0.389894i
$466$	−11.3757	+	18.9807i	−0.526967	+	0.879265i
$467$	−17.6700	+	10.2018i	−0.817671	+	0.472083i	−0.849613	−	0.527407i	$-0.823164\pi$
$467$	−17.6700	+	10.2018i	−0.817671	+	0.472083i	0.0319417	+	0.999490i	$0.489831\pi$
$468$	75.9453	+	15.9637i	3.51057	+	0.737922i
$469$	2.16641	+	5.95216i	0.100035	+	0.274845i
$470$	3.28112	+	9.49428i	0.151347	+	0.437938i
$471$	2.11485	−	11.9939i	0.0974473	−	0.552651i
$472$	0.789907	+	6.25813i	0.0363584	+	0.288054i
$473$	40.7426	−	34.1871i	1.87335	−	1.57193i
$474$	−6.80460	−	42.6511i	−0.312546	−	1.95903i
$475$	0.382031	+	4.34213i	0.0175288	+	0.199230i
$476$	−4.25487	−	12.9953i	−0.195022	−	0.595639i
$477$	−15.4051	−	18.3591i	−0.705352	−	0.840605i
$478$	13.1201	+	2.53494i	0.600101	+	0.115945i
$479$	−10.5245	−	1.85575i	−0.480875	−	0.0847912i	−0.0720442	−	0.997401i	$-0.522952\pi$
$479$	−10.5245	−	1.85575i	−0.480875	−	0.0847912i	−0.408831	+	0.912610i	$0.634063\pi$
$480$	9.65494	−	13.9555i	0.440686	−	0.636980i
$481$	23.3968	−	8.51576i	1.06680	−	0.388285i
$482$	6.01723	−	15.7284i	0.274077	−	0.716410i
$483$	−4.12089	−	7.13760i	−0.187507	−	0.324772i
$484$	11.7871	+	4.73141i	0.535779	+	0.215064i
$485$	10.0901	−	12.0249i	0.458167	−	0.546022i
$486$	−0.0155161	+	0.0125937i	−0.000703827	+	0.000571263i
$487$	15.0600	−	26.0847i	0.682434	−	1.18201i	−0.291802	−	0.956479i	$-0.594255\pi$
$487$	15.0600	−	26.0847i	0.682434	−	1.18201i	0.974236	−	0.225531i	$-0.0724118\pi$
$488$	−2.00905	−	1.86079i	−0.0909452	−	0.0842342i
$489$	−58.3718	+	10.2925i	−2.63966	+	0.465444i
$490$	−8.61570	−	0.140667i	−0.389218	−	0.00635467i
$491$	−10.3091	+	28.3240i	−0.465242	+	1.27824i	0.456252	+	0.889850i	$0.349191\pi$
$491$	−10.3091	+	28.3240i	−0.465242	+	1.27824i	−0.921494	+	0.388392i	$0.873031\pi$
$492$	6.29008	+	3.91078i	0.283579	+	0.176311i
$493$			1.24018i			0.0558549i
$494$	−32.2942	−	23.3834i	−1.45298	−	1.05207i
$495$		−	24.9892i		−	1.12318i
$496$	4.14288	−	16.9415i	0.186021	−	0.760694i
$497$	−3.31247	+	9.10093i	−0.148584	+	0.408233i
$498$	−0.516235	+	31.6189i	−0.0231330	+	1.41688i
$499$	6.10950	−	1.07727i	0.273499	−	0.0482252i	−0.0352164	−	0.999380i	$-0.511212\pi$
$499$	6.10950	−	1.07727i	0.273499	−	0.0482252i	0.308715	+	0.951154i	$0.400101\pi$
$500$	−1.57324	+	1.23488i	−0.0703574	+	0.0552253i
$501$	0.987219	−	1.70991i	0.0441057	−	0.0763933i
$502$	−10.9760	−	13.5230i	−0.489884	−	0.603563i
$503$	10.5894	−	12.6199i	0.472156	−	0.562694i	−0.476430	−	0.879212i	$-0.658070\pi$
$503$	10.5894	−	12.6199i	0.472156	−	0.562694i	0.948586	+	0.316519i	$0.102514\pi$
$504$	15.7578	+	3.58185i	0.701908	+	0.159548i
$505$	−0.256497	−	0.444265i	−0.0114139	−	0.0197695i
$506$	−15.8722	−	6.07222i	−0.705604	−	0.269943i
$507$	81.2820	−	29.5842i	3.60986	−	1.31388i
$508$	6.71268	+	12.5563i	0.297827	+	0.557095i
$509$	−28.3984	−	5.00740i	−1.25874	−	0.221949i	−0.495808	−	0.868432i	$-0.665128\pi$
$509$	−28.3984	−	5.00740i	−1.25874	−	0.221949i	−0.762928	+	0.646483i	$0.776239\pi$
$510$	−5.77781	+	29.9043i	−0.255846	+	1.32419i
$511$	−0.206917	−	0.246594i	−0.00915346	−	0.0109087i
$512$	22.3836	+	3.31265i	0.989225	+	0.146400i
$513$	−37.8768	+	10.1690i	−1.67230	+	0.448971i
$514$	8.92854	−	1.42447i	0.393821	−	0.0628306i
$515$	3.50978	−	2.94506i	0.154660	−	0.129775i
$516$	2.50083	−	76.5664i	0.110093	−	3.37065i
$517$	−5.13776	+	29.1377i	−0.225958	+	1.28147i
$518$	4.90024	−	1.69347i	0.215304	−	0.0744070i
$519$	17.2987	+	47.5278i	0.759329	+	2.08624i
$520$	0.895612	−	18.2721i	0.0392752	−	0.801286i
$521$	14.9103	−	8.60844i	0.653230	−	0.377142i	−0.136463	−	0.990645i	$-0.543573\pi$
$521$	14.9103	−	8.60844i	0.653230	−	0.377142i	0.789693	+	0.613503i	$0.210240\pi$
$522$	−1.25713	−	0.753429i	−0.0550229	−	0.0329767i
$523$	15.8972	+	13.3393i	0.695136	+	0.583289i	0.920385	−	0.391012i	$-0.127875\pi$
$523$	15.8972	+	13.3393i	0.695136	+	0.583289i	−0.225249	+	0.974301i	$0.572320\pi$
$524$	−1.37185	+	1.53052i	−0.0599295	+	0.0668612i
$525$	−2.47416	−	1.42846i	−0.107981	−	0.0623430i
$526$	−7.76083	+	4.31335i	−0.338388	+	0.188071i
$527$	5.43561	+	30.8269i	0.236779	+	1.34284i
$528$	44.8249	−	22.1135i	1.95075	−	0.962365i
$529$	−13.7924	−	5.02004i	−0.599672	−	0.218263i
$530$	−3.70166	+	4.26799i	−0.160790	+	0.185390i
$531$	13.3791			0.580603
$532$	−6.64426	−	4.97826i	−0.288065	−	0.215835i
$533$	7.98469			0.345855
$534$	1.81487	−	2.09253i	0.0785371	−	0.0905526i
$535$	6.65120	+	2.42084i	0.287557	+	0.104662i
$536$	17.9714	−	5.56098i	0.776248	−	0.240198i
$537$	4.47045	+	25.3532i	0.192914	+	1.09407i
$538$	−2.94136	+	1.63476i	−0.126811	+	0.0704797i
$539$	−21.9797	−	12.6900i	−0.946733	−	0.546597i
$540$	−13.3997	−	12.0105i	−0.576629	−	0.516849i
$541$	20.3937	+	17.1124i	0.876795	+	0.735719i	0.965518	−	0.260338i	$-0.0838339\pi$
$541$	20.3937	+	17.1124i	0.876795	+	0.735719i	−0.0887223	+	0.996056i	$0.528278\pi$
$542$	17.4694	+	10.4699i	0.750376	+	0.449720i
$543$	32.3122	−	18.6555i	1.38665	−	0.800582i
$544$	−39.1679	+	10.7321i	−1.67931	+	0.460136i
$545$	0.825220	+	2.26727i	0.0353486	+	0.0971194i
$546$	24.6990	−	8.53571i	1.05702	−	0.365295i
$547$	0.626670	−	3.55402i	0.0267945	−	0.151959i	−0.968475	−	0.249110i	$-0.919862\pi$
$547$	0.626670	−	3.55402i	0.0267945	−	0.151959i	0.995270	+	0.0971511i	$0.0309730\pi$
$548$	−2.36089	−	0.0771121i	−0.100852	−	0.00329406i
$549$	−4.44938	+	3.73348i	−0.189895	+	0.159341i
$550$	−5.81721	+	0.928083i	−0.248047	+	0.0395736i
$551$	0.432197	+	0.616598i	0.0184122	+	0.0262680i
$552$	−21.7721	+	11.1864i	−0.926682	+	0.476125i
$553$	−6.23210	−	7.42712i	−0.265016	−	0.315833i
$554$	−3.48126	+	18.0180i	−0.147904	+	0.765512i
$555$	−11.3726	−	2.00530i	−0.482740	−	0.0851202i
$556$	−17.0727	+	9.12719i	−0.724045	+	0.387079i
$557$	16.0920	−	5.85702i	0.681841	−	0.248170i	0.0222031	−	0.999753i	$-0.492932\pi$
$557$	16.0920	−	5.85702i	0.681841	−	0.248170i	0.659638	+	0.751584i	$0.270710\pi$
$558$	−34.5503	−	13.2179i	−1.46263	−	0.559559i
$559$	−41.2926	−	71.5209i	−1.74649	−	3.02501i
$560$	0.248581	−	3.80127i	0.0105045	−	0.160633i
$561$	−57.6637	+	68.7209i	−2.43456	+	2.90140i
$562$	4.74368	+	5.84447i	0.200100	+	0.246534i
$563$	7.76774	−	13.4541i	0.327371	−	0.567023i	−0.654618	−	0.755960i	$-0.727171\pi$
$563$	7.76774	−	13.4541i	0.327371	−	0.567023i	0.981989	+	0.188936i	$0.0605039\pi$
$564$	26.3130	+	33.5230i	1.10798	+	1.41157i
$565$	−4.50830	+	0.794934i	−0.189665	+	0.0334431i
$566$	0.592743	−	36.3049i	0.0249148	−	1.52601i
$567$	2.92920	−	8.04790i	0.123015	−	0.337980i
$568$	26.5153	+	11.1493i	1.11256	+	0.467816i
$569$		−	14.7901i		−	0.620034i	−0.950731	−	0.310017i	$-0.899665\pi$
$569$		−	14.7901i		−	0.620034i	0.950731	−	0.310017i	$-0.100335\pi$
$570$	7.54888	+	16.8815i	0.316188	+	0.707088i
$571$			7.89178i			0.330261i	0.986272	+	0.165130i	$0.0528045\pi$
$571$			7.89178i			0.330261i	−0.986272	+	0.165130i	$0.947195\pi$
$572$	28.4506	−	45.7598i	1.18958	−	1.91331i
$573$	3.17996	−	8.73686i	0.132845	−	0.364988i
$574$	1.66244	+	0.0271422i	0.0693888	+	0.00113290i
$575$	2.84103	−	0.500950i	0.118479	−	0.0208910i
$576$	12.9163	−	46.2230i	0.538181	−	1.92596i
$577$	11.5898	−	20.0741i	0.482490	−	0.835697i	−0.517308	−	0.855799i	$-0.673066\pi$
$577$	11.5898	−	20.0741i	0.482490	−	0.835697i	0.999798	+	0.0201023i	$0.00639920\pi$
$578$	37.9272	−	30.7838i	1.57756	−	1.28044i
$579$	23.9578	−	28.5517i	0.995650	−	1.18657i
$580$	−0.128701	+	0.320627i	−0.00534402	+	0.0133133i
$581$	3.54938	+	6.14771i	0.147253	+	0.255050i
$582$	23.7955	−	62.1991i	0.986357	−	2.57824i
$583$	−15.6368	+	5.69131i	−0.647608	+	0.235710i
$584$	−0.761580	+	0.577942i	−0.0315144	+	0.0239154i
$585$	−38.2130	−	6.73798i	−1.57991	−	0.278581i
$586$	27.9211	+	5.39464i	1.15341	+	0.222850i
$587$	−24.7990	−	29.5543i	−1.02356	−	1.21984i	−0.975273	−	0.221003i	$-0.929067\pi$
$587$	−24.7990	−	29.5543i	−1.02356	−	1.21984i	−0.0482908	−	0.998833i	$-0.515377\pi$
$588$	−34.7418	+	11.3750i	−1.43273	+	0.469098i
$589$	13.4455	+	13.4323i	0.554013	+	0.553470i
$590$	−0.496891	−	3.11450i	−0.0204567	−	0.128222i
$591$	22.1835	−	18.6142i	0.912509	−	0.765686i
$592$	−4.31102	−	14.7823i	−0.177182	−	0.607548i
$593$	2.51960	−	14.2893i	0.103467	−	0.586793i	−0.888354	−	0.459159i	$-0.848151\pi$
$593$	2.51960	−	14.2893i	0.103467	−	0.586793i	0.991821	−	0.127634i	$-0.0407381\pi$
$594$	−17.3119	−	50.0938i	−0.710316	−	2.05537i
$595$	2.33842	+	6.42475i	0.0958657	+	0.263389i
$596$	−7.28308	+	34.6484i	−0.298327	+	1.41925i
$597$	34.6942	−	20.0307i	1.41994	−	0.819801i
$598$	−13.5652	+	22.6341i	−0.554723	+	0.925578i
$599$	22.9923	+	19.2928i	0.939440	+	0.788284i	0.977488	−	0.210992i	$-0.0676694\pi$
$599$	22.9923	+	19.2928i	0.939440	+	0.788284i	−0.0380477	+	0.999276i	$0.512114\pi$
$600$	−4.59711	+	7.13164i	−0.187676	+	0.291148i
$601$	31.3498	+	18.0998i	1.27879	+	0.738307i	0.976625	−	0.214950i	$-0.0689587\pi$
$601$	31.3498	+	18.0998i	1.27879	+	0.738307i	0.302161	+	0.953257i	$0.402292\pi$
$602$	−8.35413	−	15.0312i	−0.340489	−	0.612628i
$603$	−6.92880	−	39.2952i	−0.282163	−	1.60022i
$604$	4.53512	+	31.7492i	0.184531	+	1.29186i
$605$	−5.96765	−	2.17205i	−0.242619	−	0.0883063i
$606$	−1.64412	−	1.42596i	−0.0667879	−	0.0579257i
$607$	−14.9040			−0.604934			−0.302467	−	0.953160i	$-0.597810\pi$
$607$	−14.9040			−0.604934			−0.302467	+	0.953160i	$0.597810\pi$
$608$	−15.7336	+	18.9857i	−0.638080	+	0.769970i
$609$	−0.493523			−0.0199986
$610$	1.03436	+	0.897109i	0.0418800	+	0.0363229i
$611$	43.1715	+	15.7131i	1.74653	+	0.635685i
$612$	12.1806	+	85.2734i	0.492372	+	3.44697i
$613$	−3.18749	−	18.0771i	−0.128741	−	0.730128i	−0.979015	−	0.203788i	$-0.934675\pi$
$613$	−3.18749	−	18.0771i	−0.128741	−	0.730128i	0.850274	−	0.526341i	$-0.176436\pi$
$614$	22.2869	+	40.0998i	0.899425	+	1.61830i
$615$	−3.20720	−	1.85168i	−0.129327	−	0.0746668i
$616$	6.07904	−	9.43062i	0.244932	−	0.379970i
$617$	33.3860	+	28.0142i	1.34407	+	1.12781i	0.980560	+	0.196220i	$0.0628667\pi$
$617$	33.3860	+	28.0142i	1.34407	+	1.12781i	0.363511	+	0.931590i	$0.381578\pi$
$618$	9.99233	−	16.6726i	0.401950	−	0.670670i
$619$	−10.6756	+	6.16357i	−0.429089	+	0.247735i	−0.698959	−	0.715162i	$-0.746353\pi$
$619$	−10.6756	+	6.16357i	−0.429089	+	0.247735i	0.269869	+	0.962897i	$0.413020\pi$
$620$	−1.79381	+	8.53384i	−0.0720412	+	0.342727i
$621$	8.87739	+	24.3904i	0.356238	+	0.978755i
$622$	−2.15162	−	6.22593i	−0.0862720	−	0.249637i
$623$	0.107973	−	0.612345i	0.00432584	−	0.0245331i
$624$	−21.7291	−	74.5079i	−0.869860	−	2.98270i
$625$	0.766044	−	0.642788i	0.0306418	−	0.0257115i
$626$	1.18657	+	7.43742i	0.0474250	+	0.297259i
$627$	−4.72055	+	54.2625i	−0.188521	+	2.16703i
$628$	−7.71658	+	2.52653i	−0.307925	+	0.100819i
$629$	17.7643	+	21.1707i	0.708310	+	0.844131i
$630$	−7.93316	−	1.53277i	−0.316065	−	0.0610668i
$631$	−43.0711	−	7.59460i	−1.71463	−	0.302336i	−0.771866	−	0.635785i	$-0.780677\pi$
$631$	−43.0711	−	7.59460i	−1.71463	−	0.302336i	−0.942768	+	0.333448i	$0.891788\pi$
$632$	−22.9379	+	17.4070i	−0.912421	+	0.692411i
$633$	−20.2478	+	7.36959i	−0.804777	+	0.292915i
$634$	−13.1870	+	34.4696i	−0.523724	+	1.36896i
$635$	−3.55950	−	6.16523i	−0.141254	−	0.244660i
$636$	−8.92849	+	22.2431i	−0.354037	+	0.881997i
$637$	−25.3318	+	30.1893i	−1.00368	+	1.19614i
$638$	−0.790111	+	0.641296i	−0.0312808	+	0.0253892i
$639$	30.5049	−	52.8360i	1.20675	−	2.09016i
$640$	−11.2399	−	1.29009i	−0.444297	−	0.0509952i
$641$	1.57424	−	0.277581i	0.0621786	−	0.0109638i	−0.142472	−	0.989799i	$-0.545505\pi$
$641$	1.57424	−	0.277581i	0.0621786	−	0.0109638i	0.204651	+	0.978835i	$0.434394\pi$
$642$	30.0244	+	0.490201i	1.18497	+	0.0193467i
$643$	−11.2176	+	30.8201i	−0.442379	+	1.21543i	0.495543	+	0.868583i	$0.334969\pi$
$643$	−11.2176	+	30.8201i	−0.442379	+	1.21543i	−0.937923	+	0.346844i	$0.887253\pi$
$644$	−2.90126	+	4.66638i	−0.114326	+	0.183881i
$645$			38.3036i			1.50820i
$646$	12.1296	−	42.5608i	0.477233	−	1.67453i
$647$		−	0.913208i		−	0.0359019i	−0.999839	−	0.0179509i	$-0.994286\pi$
$647$		−	0.913208i		−	0.0359019i	0.999839	−	0.0179509i	$-0.00571427\pi$
$648$	−23.4473	−	9.85930i	−0.921098	−	0.387310i
$649$	3.17718	−	8.72922i	0.124715	−	0.342652i
$650$	−0.149322	+	9.14581i	−0.00585688	+	0.358728i
$651$	−12.2674	+	2.16307i	−0.480797	+	0.0847774i
$652$	24.3990	+	31.0845i	0.955540	+	1.21736i
$653$	−15.9116	+	27.5597i	−0.622670	+	1.07850i	0.366317	+	0.930490i	$0.380619\pi$
$653$	−15.9116	+	27.5597i	−0.622670	+	1.07850i	−0.988987	+	0.148005i	$0.952715\pi$
$654$	6.45077	+	7.94769i	0.252245	+	0.310779i
$655$	0.660577	−	0.787245i	0.0258109	−	0.0307602i
$656$	0.322230	−	4.92749i	0.0125810	−	0.192386i
$657$	1.01391	+	1.75614i	0.0395562	+	0.0685134i
$658$	8.93502	+	3.41827i	0.348323	+	0.133258i
$659$	−20.1104	+	7.31959i	−0.783391	+	0.285131i	−0.702586	−	0.711599i	$-0.747971\pi$
$659$	−20.1104	+	7.31959i	−0.783391	+	0.285131i	−0.0808048	+	0.996730i	$0.525749\pi$
$660$	−22.0395	+	11.7825i	−0.857888	+	0.458633i
$661$	−27.9891	−	4.93523i	−1.08865	−	0.191958i	−0.399612	−	0.916684i	$-0.630855\pi$
$661$	−27.9891	−	4.93523i	−1.08865	−	0.191958i	−0.689037	+	0.724726i	$0.741966\pi$
$662$	1.44535	−	7.48073i	0.0561752	−	0.290747i
$663$	89.5385	+	106.708i	3.47739	+	4.14419i
$664$	18.7526	−	9.63500i	0.727742	−	0.373910i
$665$	3.40162	+	2.37935i	0.131909	+	0.0922674i
$666$	−32.2521	+	5.14553i	−1.24974	+	0.199385i
$667$	0.381758	−	0.320333i	0.0147817	−	0.0124033i
$668$	−1.31565	−	0.0429720i	−0.0509039	−	0.00166264i
$669$	9.88407	−	56.0553i	0.382140	−	2.16722i
$670$	−8.89016	+	3.07235i	−0.343457	+	0.118695i
$671$	1.37931	+	3.78961i	0.0532476	+	0.146296i
$672$	−4.27079	−	15.5866i	−0.164749	−	0.601268i
$673$	25.3071	−	14.6111i	0.975519	−	0.563216i	0.0746045	−	0.997213i	$-0.476231\pi$
$673$	25.3071	−	14.6111i	0.975519	−	0.563216i	0.900914	+	0.433997i	$0.142897\pi$
$674$	−5.75454	−	3.44885i	−0.221657	−	0.132845i
$675$	6.89229	+	5.78332i	0.265285	+	0.222600i
$676$	−42.9428	−	38.4908i	−1.65164	−	1.48041i
$677$	−25.2297	−	14.5663i	−0.969654	−	0.559830i	−0.0705234	−	0.997510i	$-0.522467\pi$
$677$	−25.2297	−	14.5663i	−0.969654	−	0.559830i	−0.899131	+	0.437680i	$0.855800\pi$
$678$	−16.9756	+	9.43479i	−0.651945	+	0.362341i
$679$	−2.59593	−	14.7222i	−0.0996226	−	0.564988i
$680$	19.3983	−	6.00252i	0.743892	−	0.230186i
$681$	21.9325	+	7.98276i	0.840454	+	0.305900i
$682$	−16.8289	+	19.4035i	−0.644410	+	0.743000i
$683$	−34.8653			−1.33408			−0.667042	−	0.745020i	$-0.732440\pi$
$683$	−34.8653			−1.33408			−0.667042	+	0.745020i	$0.732440\pi$
$684$	35.7734	+	38.1517i	1.36783	+	1.45877i
$685$	1.18108			0.0451266
$686$	−11.5539	+	13.3216i	−0.441131	+	0.508620i
$687$	−63.2512	−	23.0216i	−2.41319	−	0.878328i
$688$	−45.8033	+	22.5961i	−1.74623	+	0.861469i
$689$	4.48682	+	25.4460i	0.170934	+	0.969415i
$690$	10.6977	−	5.94559i	0.407253	−	0.226345i
$691$	23.8875	+	13.7914i	0.908722	+	0.524651i	0.880020	−	0.474937i	$-0.157529\pi$
$691$	23.8875	+	13.7914i	0.908722	+	0.524651i	0.0287021	+	0.999588i	$0.490863\pi$
$692$	22.5066	−	25.1098i	0.855573	−	0.954531i
$693$	−18.2306	−	15.2973i	−0.692524	−	0.581097i
$694$	−22.8437	−	13.6908i	−0.867136	−	0.519697i
$695$	8.38284	−	4.83983i	0.317979	−	0.183585i
$696$	−0.0717574	+	1.46398i	−0.00271996	+	0.0554921i
$697$	3.03123	+	8.32825i	0.114816	+	0.315455i
$698$	44.1067	−	15.2428i	1.66946	−	0.576949i
$699$	8.15100	−	46.2266i	0.308299	−	1.74845i
$700$	−0.0621785	+	1.90368i	−0.00235012	+	0.0719523i
$701$	37.8216	−	31.7361i	1.42850	−	1.19866i	0.481913	−	0.876219i	$-0.339942\pi$
$701$	37.8216	−	31.7361i	1.42850	−	1.19866i	0.946591	−	0.322438i	$-0.104502\pi$
$702$	−81.2703	+	12.9659i	−3.06735	+	0.489368i
$703$	16.2100	+	4.33495i	0.611373	+	0.163496i
$704$	−27.0910	−	19.4040i	−1.02103	−	0.731317i
$705$	−13.6967	−	16.3231i	−0.515847	−	0.614763i
$706$	−3.90251	+	20.1983i	−0.146873	+	0.760172i
$707$	−0.481125	−	0.0848354i	−0.0180946	−	0.00319056i
$708$	−6.30828	−	11.7999i	−0.237080	−	0.443466i
$709$	−22.0315	+	8.01881i	−0.827410	+	0.301153i	−0.720796	−	0.693148i	$-0.756223\pi$
$709$	−22.0315	+	8.01881i	−0.827410	+	0.301153i	−0.106615	+	0.994300i	$0.534001\pi$
$710$	−13.4326	−	5.13891i	−0.504115	−	0.192860i
$711$	30.5377	+	52.8928i	1.14525	+	1.98363i
$712$	−1.80076	−	0.409324i	−0.0674862	−	0.0153401i
$713$	8.08527	−	9.63565i	0.302796	−	0.360858i
$714$	18.2795	+	22.5213i	0.684092	+	0.842837i
$715$	−13.4708	+	23.3321i	−0.503779	+	0.872571i
$716$	13.5012	−	10.5974i	0.504564	−	0.396045i
$717$	−27.9149	+	4.92214i	−1.04250	+	0.183821i
$718$	−0.590522	+	36.1689i	−0.0220381	+	1.34981i
$719$	1.75593	−	4.82439i	0.0654852	−	0.179919i	−0.902634	−	0.430409i	$-0.858369\pi$
$719$	1.75593	−	4.82439i	0.0654852	−	0.179919i	0.968119	+	0.250490i	$0.0805916\pi$
$720$	−5.70025	+	23.3100i	−0.212436	+	0.868713i
$721$		−	4.36337i		−	0.162500i
$722$	−8.80158	−	25.3876i	−0.327561	−	0.944830i
$723$			35.7218i			1.32851i
$724$	−21.1249	−	13.1341i	−0.785101	−	0.488126i
$725$	0.0590829	−	0.162329i	0.00219428	−	0.00602874i
$726$	−26.9387	−	0.439823i	−0.999790	−	0.0163233i
$727$	18.7251	−	3.30174i	0.694475	−	0.122455i	0.184742	−	0.982787i	$-0.440855\pi$
$727$	18.7251	−	3.30174i	0.694475	−	0.122455i	0.509733	+	0.860332i	$0.329744\pi$
$728$	−12.7820	−	11.8388i	−0.473732	−	0.438775i
$729$	13.5106	−	23.4010i	0.500392	−	0.866705i
$730$	0.371154	−	0.301248i	0.0137370	−	0.0111497i
$731$	58.9223	−	70.2209i	2.17932	−	2.59721i
$732$	5.39069	+	2.16385i	0.199246	+	0.0799781i
$733$	−15.6083	−	27.0343i	−0.576505	−	0.998536i	−0.995876	−	0.0907214i	$-0.971083\pi$
$733$	−15.6083	−	27.0343i	−0.576505	−	0.998536i	0.419371	−	0.907815i	$-0.362251\pi$
$734$	−7.50687	+	19.6222i	−0.277084	+	0.724268i
$735$	17.1760	−	6.25155i	0.633546	−	0.230592i
$736$	13.4205	+	9.28477i	0.494686	+	0.342241i
$737$	−27.2837	−	4.81084i	−1.00501	−	0.177210i
$738$	−10.2836	−	1.98689i	−0.378543	−	0.0731383i
$739$	0.673373	+	0.802495i	0.0247704	+	0.0295202i	0.778287	−	0.627908i	$-0.216089\pi$
$739$	0.673373	+	0.802495i	0.0247704	+	0.0295202i	−0.753517	+	0.657428i	$0.771644\pi$
$740$	2.39565	+	7.31683i	0.0880657	+	0.268972i
$741$	81.7043	+	21.8497i	3.00148	+	0.802668i
$742$	0.847671	+	5.31319i	0.0311190	+	0.195053i
$743$	39.4622	−	33.1127i	1.44773	−	1.21479i	0.513510	−	0.858084i	$-0.328345\pi$
$743$	39.4622	−	33.1127i	1.44773	−	1.21479i	0.934217	−	0.356704i	$-0.116100\pi$
$744$	4.63286	+	36.7044i	0.169849	+	1.34565i
$745$	3.07405	−	17.4338i	0.112625	−	0.638726i
$746$	−0.801902	−	2.32039i	−0.0293597	−	0.0849554i
$747$	−15.2944	−	42.0211i	−0.559594	−	1.53747i
$748$	58.5294	+	12.3029i	2.14005	+	0.449838i
$749$	5.83768	−	3.37039i	0.213304	−	0.123151i
$750$	2.18092	−	3.63896i	0.0796360	−	0.132876i
$751$	13.7005	+	11.4961i	0.499937	+	0.419497i	0.857572	−	0.514364i	$-0.171972\pi$
$751$	13.7005	+	11.4961i	0.499937	+	0.419497i	−0.357634	+	0.933862i	$0.616417\pi$
$752$	11.4391	−	26.0078i	0.417140	−	0.948406i
$753$	31.9954	+	18.4725i	1.16598	+	0.673176i
$754$	0.767616	+	1.38114i	0.0279549	+	0.0502981i
$755$	−2.78457	−	15.7921i	−0.101341	−	0.574733i
$756$	−16.9648	+	2.42329i	−0.617004	+	0.0881342i
$757$	24.8317	+	9.03801i	0.902524	+	0.328492i	0.751264	−	0.660002i	$-0.229445\pi$
$757$	24.8317	+	9.03801i	0.902524	+	0.328492i	0.151260	+	0.988494i	$0.451667\pi$
$758$	−32.7629	−	28.4155i	−1.19000	−	1.03210i
$759$	36.0482			1.30847
$760$	7.55269	−	9.74458i	0.273965	−	0.353473i
$761$	14.0350			0.508770			0.254385	−	0.967103i	$-0.418127\pi$
$761$	14.0350			0.508770			0.254385	+	0.967103i	$0.418127\pi$
$762$	−22.8161	−	19.7886i	−0.826540	−	0.716865i
$763$	2.15923	+	0.785896i	0.0781695	+	0.0284514i
$764$	−6.13637	+	0.876531i	−0.222006	+	0.0317118i
$765$	−7.47893	−	42.4151i	−0.270401	−	1.53352i
$766$	−13.8700	−	24.9557i	−0.501144	−	0.901688i
$767$	−12.4919	−	7.21219i	−0.451056	−	0.260417i
$768$	−46.8571	+	10.4026i	−1.69081	+	0.375370i
$769$	6.99046	+	5.86569i	0.252082	+	0.211522i	0.760068	−	0.649843i	$-0.225165\pi$
$769$	6.99046	+	5.86569i	0.252082	+	0.211522i	−0.507986	+	0.861365i	$0.669610\pi$
$770$	−2.88397	+	4.81202i	−0.103931	+	0.173413i
$771$	−16.6095	+	9.58950i	−0.598177	+	0.345357i
$772$	−24.3174	−	5.11152i	−0.875204	−	0.183968i
$773$	−11.5647	−	31.7738i	−0.415954	−	1.14282i	−0.953973	−	0.299891i	$-0.903050\pi$
$773$	−11.5647	−	31.7738i	−0.415954	−	1.14282i	0.538020	−	0.842932i	$-0.319173\pi$
$774$	35.3842	+	102.388i	1.27186	+	3.68025i
$775$	0.757135	−	4.29393i	0.0271971	−	0.154242i
$776$	−44.0494	+	5.55996i	−1.58128	+	0.199591i
$777$	−8.42477	+	7.06922i	−0.302237	+	0.253607i
$778$	−3.63919	−	22.8104i	−0.130471	−	0.817791i
$779$	4.40944	+	3.08430i	0.157984	+	0.110507i
$780$	12.0749	+	36.8794i	0.432351	+	1.32050i
$781$	−27.2289	−	32.4501i	−0.974326	−	1.16116i
$782$	−28.7578	−	5.55629i	−1.02838	−	0.198693i
$783$	1.53063	+	0.269892i	0.0547004	+	0.00964515i
$784$	17.6081	+	16.8510i	0.628859	+	0.601823i
$785$	3.81499	−	1.38854i	0.136163	−	0.0495593i
$786$	1.55784	−	4.07205i	0.0555665	−	0.145245i
$787$	26.6671	+	46.1888i	0.950580	+	1.64645i	0.744174	+	0.667986i	$0.232843\pi$
$787$	26.6671	+	46.1888i	0.950580	+	1.64645i	0.206405	+	0.978467i	$0.433823\pi$
$788$	−17.9170	−	7.19196i	−0.638266	−	0.256203i
$789$	12.1064	−	14.4279i	0.431000	−	0.513645i
$790$	11.1787	−	9.07324i	0.397721	−	0.322811i
$791$	−2.17985	+	3.77561i	−0.0775065	+	0.134245i
$792$	−48.0285	+	51.8550i	−1.70662	+	1.84259i
$793$	6.16692	−	1.08739i	0.218994	−	0.0386145i
$794$	−37.6849	−	0.615273i	−1.33739	−	0.0218352i
$795$	4.09880	−	11.2614i	0.145370	−	0.399399i
$796$	−22.6822	−	14.1023i	−0.803948	−	0.499844i
$797$			25.6742i			0.909426i	0.890638	+	0.454713i	$0.150258\pi$
$797$			25.6742i			0.909426i	−0.890638	+	0.454713i	$0.849742\pi$
$798$	16.9368	+	4.82691i	0.599557	+	0.170871i
$799$			50.9942i			1.80404i
$800$	5.63802	+	0.461237i	0.199334	+	0.0163072i
$801$	−1.33966	+	3.68069i	−0.0473346	+	0.130051i
$802$	0.00758861	−	0.464795i	0.000267963	−	0.0164125i
$803$	1.38657	−	0.244490i	0.0489311	−	0.00862787i
$804$	−31.3899	+	24.6388i	−1.10704	+	0.868942i
$805$	1.37369	−	2.37930i	0.0484163	−	0.0838594i
$806$	25.1339	+	30.9663i	0.885303	+	1.09074i
$807$	4.58835	−	5.46818i	0.161517	−	0.192489i
$808$	−0.321610	+	1.41487i	−0.0113142	+	0.0497750i
$809$	−21.1517	−	36.6358i	−0.743654	−	1.28805i	−0.950821	−	0.309741i	$-0.899758\pi$
$809$	−21.1517	−	36.6358i	−0.743654	−	1.28805i	0.207167	−	0.978306i	$-0.433576\pi$
$810$	11.8783	+	4.54430i	0.417362	+	0.159671i
$811$	−31.4515	+	11.4474i	−1.10441	+	0.401973i	−0.828940	−	0.559337i	$-0.811056\pi$
$811$	−31.4515	+	11.4474i	−1.10441	+	0.401973i	−0.275470	+	0.961310i	$0.588834\pi$
$812$	0.155125	+	0.290167i	0.00544382	+	0.0101829i
$813$	−42.5459	−	7.50199i	−1.49215	−	0.263106i
$814$	−4.30180	+	22.2649i	−0.150778	+	0.780384i
$815$	−12.7004	−	15.1357i	−0.444875	−	0.530181i
$816$	69.4648	−	50.9495i	2.43175	−	1.78359i
$817$	4.82359	−	55.4469i	0.168756	−	1.93984i
$818$	22.9149	−	3.65586i	0.801199	−	0.127824i
$819$	−28.3080	+	23.7532i	−0.989161	+	0.830004i
$820$	−0.0806005	+	2.46769i	−0.00281469	+	0.0861756i
$821$	−0.848753	+	4.81352i	−0.0296217	+	0.167993i	−0.996030	−	0.0890190i	$-0.971627\pi$
$821$	−0.848753	+	4.81352i	−0.0296217	+	0.167993i	0.966408	+	0.257012i	$0.0827379\pi$
$822$	4.73583	−	1.63665i	0.165181	−	0.0570849i
$823$	0.565248	+	1.55301i	0.0197033	+	0.0541344i	0.949154	−	0.314811i	$-0.101941\pi$
$823$	0.565248	+	1.55301i	0.0197033	+	0.0541344i	−0.929451	+	0.368945i	$0.879719\pi$
$824$	−12.9435	−	0.634426i	−0.450907	−	0.0221013i
$825$	10.8216	−	6.24784i	0.376759	−	0.217522i
$826$	−2.57633	−	1.54406i	−0.0896420	−	0.0537248i
$827$	17.0279	+	14.2881i	0.592116	+	0.496845i	0.888901	−	0.458100i	$-0.151470\pi$
$827$	17.0279	+	14.2881i	0.592116	+	0.496845i	−0.296784	+	0.954945i	$0.595914\pi$
$828$	23.1030	−	25.7752i	0.802885	−	0.895750i
$829$	−2.85839	−	1.65029i	−0.0992760	−	0.0573170i	0.449540	−	0.893260i	$-0.351588\pi$
$829$	−2.85839	−	1.65029i	−0.0992760	−	0.0573170i	−0.548816	+	0.835943i	$0.684921\pi$
$830$	−9.21404	+	5.12102i	−0.319824	+	0.177753i
$831$	−6.75963	−	38.3357i	−0.234489	−	1.32985i
$832$	−36.9770	+	36.1951i	−1.28195	+	1.25484i
$833$	−41.1050	−	14.9610i	−1.42420	−	0.518368i
$834$	26.9064	−	31.0229i	0.931694	−	1.07424i
$835$	0.658175			0.0227771
$836$	33.3874	−	14.2804i	1.15473	−	0.493899i
$837$	39.2295			1.35597
$838$	20.0479	−	23.1150i	0.692542	−	0.798496i
$839$	28.6432	+	10.4253i	0.988873	+	0.359921i	0.785284	−	0.619136i	$-0.212517\pi$
$839$	28.6432	+	10.4253i	0.988873	+	0.359921i	0.203590	+	0.979056i	$0.434739\pi$
$840$	2.38867	+	7.71946i	0.0824169	+	0.266347i
$841$	5.03062	+	28.5300i	0.173469	+	0.983794i
$842$	−4.32051	+	2.40127i	−0.148895	+	0.0827533i
$843$	−13.8279	−	7.98356i	−0.476259	−	0.274968i
$844$	10.6973	+	9.58826i	0.368215	+	0.330042i
$845$	22.0882	+	18.5342i	0.759857	+	0.637596i
$846$	−51.6910	−	30.9798i	−1.77717	−	1.06511i
$847$	−5.23773	+	3.02401i	−0.179971	+	0.103906i
$848$	15.8843	−	1.74200i	0.545468	−	0.0598204i
$849$	26.3428	+	72.3763i	0.904084	+	2.48395i
$850$	−9.59602	+	3.31629i	−0.329141	+	0.113748i
$851$	1.92842	−	10.9366i	0.0661052	−	0.374901i
$852$	−60.9825	−	1.99183i	−2.08923	−	0.0682389i
$853$	−12.3632	+	10.3739i	−0.423307	+	0.355197i	−0.829419	−	0.558626i	$-0.811329\pi$
$853$	−12.3632	+	10.3739i	−0.423307	+	0.355197i	0.406112	+	0.913823i	$0.366884\pi$
$854$	1.28767	−	0.205436i	0.0440631	−	0.00702986i
$855$	−18.4999	−	18.4818i	−0.632683	−	0.632063i
$856$	−9.14910	−	17.8069i	−0.312710	−	0.608627i
$857$	3.97276	+	4.73455i	0.135707	+	0.161729i	0.829618	−	0.558332i	$-0.188558\pi$
$857$	3.97276	+	4.73455i	0.135707	+	0.161729i	−0.693911	+	0.720061i	$0.744114\pi$
$858$	−21.6826	+	112.223i	−0.740232	+	3.83123i
$859$	33.3594	+	5.88215i	1.13821	+	0.200697i	0.710821	−	0.703373i	$-0.248324\pi$
$859$	33.3594	+	5.88215i	1.13821	+	0.200697i	0.427385	+	0.904069i	$0.359435\pi$
$860$	22.5206	−	12.0397i	0.767946	−	0.410549i
$861$	−3.31418	+	1.20626i	−0.112947	+	0.0411093i
$862$	−32.1088	−	12.2839i	−1.09363	−	0.418390i
$863$	7.46012	+	12.9213i	0.253945	+	0.439846i	0.964609	−	0.263686i	$-0.0849383\pi$
$863$	7.46012	+	12.9213i	0.253945	+	0.439846i	−0.710663	+	0.703532i	$0.751605\pi$
$864$	4.72177	+	50.6766i	0.160638	+	1.72405i
$865$	−10.8375	+	12.9156i	−0.368484	+	0.439143i
$866$	22.1532	+	27.2940i	0.752798	+	0.927487i
$867$	−51.8087	+	89.7353i	−1.75952	+	3.04757i
$868$	5.12768	+	6.53271i	0.174045	+	0.221735i
$869$	41.7619	−	7.36376i	1.41668	−	0.249798i
$870$	0.0119638	−	0.732773i	0.000405611	−	0.0248433i
$871$	−14.7133	+	40.4245i	−0.498541	+	1.36973i
$872$	2.64523	−	6.29086i	0.0895787	−	0.213036i
$873$			94.1720i			3.18724i
$874$	−16.2343	+	7.25945i	−0.549132	+	0.245555i
$875$		−	0.952347i		−	0.0321952i
$876$	1.07079	−	1.72225i	0.0361786	−	0.0581895i
$877$	11.7023	−	32.1518i	0.395158	−	1.08569i	−0.569455	−	0.822022i	$-0.692846\pi$
$877$	11.7023	−	32.1518i	0.395158	−	1.08569i	0.964614	−	0.263667i	$-0.0849319\pi$
$878$	27.3828	+	0.447073i	0.924125	+	0.0150880i
$879$	−59.4059	+	10.4749i	−2.00371	+	0.353309i
$880$	13.8550	+	9.25465i	0.467053	+	0.311974i
$881$	−15.3006	+	26.5013i	−0.515489	+	0.892853i	0.484350	+	0.874874i	$0.339056\pi$
$881$	−15.3006	+	26.5013i	−0.515489	+	0.892853i	−0.999838	+	0.0179780i	$0.994277\pi$
$882$	40.1373	−	32.5776i	1.35149	−	1.09694i
$883$	11.0379	−	13.1545i	0.371456	−	0.442684i	−0.547642	−	0.836713i	$-0.684474\pi$
$883$	11.0379	−	13.1545i	0.371456	−	0.442684i	0.919098	+	0.394028i	$0.128919\pi$
$884$	34.5950	−	86.1848i	1.16355	−	2.89871i
$885$	3.34506	+	5.79382i	0.112443	+	0.194757i
$886$	−11.0346	+	28.8433i	−0.370715	+	0.969010i
$887$	55.8063	−	20.3118i	1.87379	−	0.682004i	0.910524	−	0.413455i	$-0.135678\pi$
$887$	55.8063	−	20.3118i	1.87379	−	0.682004i	0.963266	−	0.268549i	$-0.0865440\pi$
$888$	19.7451	+	26.0190i	0.662603	+	0.873141i
$889$	−6.67676	−	1.17729i	−0.223931	−	0.0394851i
$890$	0.906579	+	0.175160i	0.0303886	+	0.00587138i
$891$	24.0783	+	28.6955i	0.806655	+	0.961334i
$892$	−36.0645	+	11.8081i	−1.20753	+	0.395364i
$893$	17.7712	+	25.3535i	0.594692	+	0.848423i
$894$	−11.8324	−	74.1653i	−0.395734	−	2.48046i
$895$	−6.57404	+	5.51627i	−0.219746	+	0.184389i
$896$	−7.82176	+	7.41023i	−0.261307	+	0.247558i
$897$	9.71990	−	55.1243i	0.324538	−	1.84055i
$898$	−0.664408	−	1.92253i	−0.0221716	−	0.0641558i
$899$	−0.257611	−	0.707781i	−0.00859181	−	0.0236058i
$900$	2.46813	−	11.7418i	0.0822710	−	0.391394i
$901$	−24.8375	+	14.3400i	−0.827458	+	0.477733i
$902$	−3.73842	+	6.23771i	−0.124476	+	0.207693i
$903$	27.9440	+	23.4478i	0.929919	+	0.780295i
$904$	10.8830	+	7.01525i	0.361963	+	0.233324i
$905$	10.7712	+	6.21876i	0.358047	+	0.206718i
$906$	−33.0491	−	59.4639i	−1.09798	−	1.97555i
$907$	−2.55428	−	14.4861i	−0.0848136	−	0.481002i	−0.997397	−	0.0721103i	$-0.977027\pi$
$907$	−2.55428	−	14.4861i	−0.0848136	−	0.481002i	0.912583	−	0.408891i	$-0.134084\pi$
$908$	−2.20039	−	15.4043i	−0.0730224	−	0.511211i
$909$	2.89196	+	1.05259i	0.0959202	+	0.0349121i
$910$	6.58083	+	5.70761i	0.218152	+	0.189205i
$911$	20.6458			0.684024			0.342012	−	0.939696i	$-0.388892\pi$
$911$	20.6458			0.684024			0.342012	+	0.939696i	$0.388892\pi$
$912$	16.7811	−	49.5394i	0.555678	−	1.64041i
$913$	−31.0488			−1.02757
$914$	39.8906	+	34.5974i	1.31946	+	1.14438i
$915$	−2.72923	−	0.993357i	−0.0902255	−	0.0328394i
$916$	6.34572	+	44.4247i	0.209669	+	1.46783i
$917$	−0.169950	−	0.963835i	−0.00561225	−	0.0318286i
$918$	−44.3766	−	79.8449i	−1.46464	−	2.63527i
$919$	−46.3459	−	26.7578i	−1.52881	−	0.882659i	−0.999412	−	0.0342860i	$-0.989084\pi$
$919$	−46.3459	−	26.7578i	−1.52881	−	0.882659i	−0.529399	−	0.848373i	$-0.677582\pi$
$920$	−6.85822	−	4.42085i	−0.226109	−	0.145751i
$921$	−74.5481	−	62.5533i	−2.45644	−	2.06120i
$922$	7.48759	−	12.4933i	0.246591	−	0.411447i
$923$	−56.9640	+	32.8882i	−1.87499	+	1.08253i
$924$	−4.89586	+	23.2915i	−0.161062	+	0.766233i
$925$	−1.31661	−	3.61736i	−0.0432900	−	0.118938i
$926$	−1.00161	−	2.89827i	−0.0329150	−	0.0952430i
$927$	−4.77300	+	27.0690i	−0.156766	+	0.889063i
$928$	0.883304	−	0.417972i	0.0289959	−	0.0137206i
$929$	13.1099	−	11.0005i	0.430123	−	0.360916i	−0.401875	−	0.915694i	$-0.631641\pi$
$929$	13.1099	−	11.0005i	0.430123	−	0.360916i	0.831998	+	0.554779i	$0.187197\pi$
$930$	−2.91430	−	18.2668i	−0.0955637	−	0.598992i
$931$	−25.6506	+	6.88653i	−0.840664	+	0.225697i
$932$	−29.7410	+	9.73766i	−0.974198	+	0.318968i
$933$	8.98168	+	10.7040i	0.294047	+	0.350432i
$934$	−28.3311	−	5.47384i	−0.927021	−	0.179110i
$935$	−29.4499	−	5.19282i	−0.963116	−	0.169823i
$936$	66.3454	+	87.4263i	2.16857	+	2.85762i
$937$	−52.5571	+	19.1292i	−1.71697	+	0.624924i	−0.997570	−	0.0696760i	$-0.977803\pi$
$937$	−52.5571	+	19.1292i	−1.71697	+	0.624924i	−0.719396	+	0.694600i	$0.755581\pi$
$938$	−3.20077	+	8.36648i	−0.104509	+	0.273175i
$939$	−7.98799	−	13.8356i	−0.260678	−	0.451508i
$940$	−5.29198	+	13.1837i	−0.172605	+	0.430004i
$941$	−19.3183	+	23.0226i	−0.629757	+	0.750515i	−0.982715	−	0.185124i	$-0.940731\pi$
$941$	−19.3183	+	23.0226i	−0.629757	+	0.750515i	0.352958	+	0.935639i	$0.385176\pi$
$942$	13.3731	−	10.8543i	0.435718	−	0.353652i
$943$	1.78068	−	3.08423i	0.0579870	−	0.100436i
$944$	−4.95489	+	7.41791i	−0.161268	+	0.241432i
$945$	8.43833	−	1.48791i	0.274499	−	0.0484016i
$946$	75.2060	+	1.22787i	2.44516	+	0.0399215i
$947$	16.2006	−	44.5107i	0.526448	−	1.44640i	−0.336778	−	0.941584i	$-0.609337\pi$
$947$	16.2006	−	44.5107i	0.526448	−	1.44640i	0.863225	−	0.504819i	$-0.168441\pi$
$948$	32.2509	−	51.8722i	1.04746	−	1.68473i
$949$		−	2.18624i		−	0.0709684i
$950$	−3.61528	+	4.99297i	−0.117295	+	0.161993i
$951$		−	78.2860i		−	2.53860i
$952$	7.49574	−	17.8263i	0.242938	−	0.577755i
$953$	11.0214	−	30.2810i	0.357018	−	0.980899i	−0.623041	−	0.782190i	$-0.714103\pi$
$953$	11.0214	−	30.2810i	0.357018	−	0.980899i	0.980058	−	0.198709i	$-0.0636749\pi$
$954$	0.553293	−	33.8887i	0.0179135	−	1.09719i
$955$	3.05224	−	0.538192i	0.0987682	−	0.0174155i
$956$	11.6682	+	14.8654i	0.377377	+	0.480781i
$957$	1.07929	−	1.86939i	0.0348886	−	0.0604289i
$958$	−9.52444	−	11.7346i	−0.307721	−	0.379128i
$959$	0.723003	−	0.861642i	0.0233470	−	0.0278239i
$960$	23.2463	−	5.96333i	0.750270	−	0.192466i
$961$	5.99448	+	10.3827i	0.193370	+	0.334927i
$962$	32.8871	+	12.5816i	1.06032	+	0.405649i
$963$	−39.9020	+	14.5231i	−1.28582	+	0.468002i
$964$	21.0026	−	11.2281i	0.676448	−	0.361634i
$965$	12.2357	+	2.15748i	0.393880	+	0.0694517i
$966$	2.21110	−	11.4440i	0.0711408	−	0.368205i
$967$	−32.6773	−	38.9433i	−1.05083	−	1.25233i	−0.966709	−	0.255878i	$-0.917636\pi$
$967$	−32.6773	−	38.9433i	−1.05083	−	1.25233i	−0.0841229	−	0.996455i	$-0.526809\pi$
$968$	8.20884	+	15.9769i	0.263842	+	0.513516i
$969$	8.22766	+	93.5146i	0.264311	+	3.00412i
$970$	21.9222	−	3.49749i	0.703880	−	0.112298i
$971$	−9.34990	+	7.84549i	−0.300052	+	0.251774i	−0.780366	−	0.625323i	$-0.784967\pi$
$971$	−9.34990	+	7.84549i	−0.300052	+	0.251774i	0.480314	+	0.877097i	$0.340523\pi$
$972$	−0.0282463		0.000922589i	−0.000906001		2.95920e-5i
$973$	1.60076	−	9.07835i	0.0513180	−	0.291039i
$974$	40.2598	−	13.9134i	1.29001	−	0.445813i
$975$	−6.63620	−	18.2328i	−0.212528	−	0.583917i
$976$	−0.422178	−	3.84960i	−0.0135136	−	0.123223i
$977$	−50.4067	+	29.1023i	−1.61265	+	0.931066i	−0.623901	+	0.781504i	$0.714453\pi$
$977$	−50.4067	+	29.1023i	−1.61265	+	0.931066i	−0.988752	+	0.149562i	$0.952214\pi$
$978$	−71.8996	−	43.0913i	−2.29909	−	1.37791i
$979$	2.08334	+	1.74813i	0.0665839	+	0.0558706i
$980$	−9.07439	−	8.13362i	−0.289871	−	0.259819i
$981$	−12.5355	−	7.23740i	−0.400229	−	0.231072i
$982$	−37.2589	+	20.7079i	−1.18898	+	0.660817i
$983$	4.29796	+	24.3750i	0.137084	+	0.777440i	0.973386	+	0.229172i	$0.0736018\pi$
$983$	4.29796	+	24.3750i	0.137084	+	0.777440i	−0.836302	+	0.548269i	$0.815287\pi$
$984$	3.09637	+	10.0065i	0.0987088	+	0.318997i
$985$	9.07111	+	3.30161i	0.289029	+	0.105198i
$986$	−1.14916	+	1.32497i	−0.0365966	+	0.0421955i
$987$	−20.2929			−0.645929
$988$	−12.8349	−	54.9059i	−0.408334	−	1.74679i
$989$	−36.8351			−1.17129
$990$	23.1551	−	26.6976i	0.735916	−	0.848506i
$991$	−29.5609	−	10.7593i	−0.939032	−	0.341780i	−0.173248	−	0.984878i	$-0.555426\pi$
$991$	−29.5609	−	10.7593i	−0.939032	−	0.341780i	−0.765783	+	0.643099i	$0.777649\pi$
$992$	20.1241	−	14.2609i	0.638942	−	0.452784i
$993$	2.80647	+	15.9163i	0.0890605	+	0.505087i
$994$	−11.9719	+	6.65378i	−0.379725	+	0.211045i
$995$	11.5652	+	6.67719i	0.366642	+	0.211681i
$996$	−29.8497	+	33.3022i	−0.945824	+	1.05522i
$997$	−5.70106	−	4.78376i	−0.180554	−	0.151503i	0.548031	−	0.836458i	$-0.315377\pi$
$997$	−5.70106	−	4.78376i	−0.180554	−	0.151503i	−0.728586	+	0.684955i	$0.759822\pi$
$998$	7.52539	+	4.51017i	0.238212	+	0.142767i
$999$	29.9949	−	17.3175i	0.948996	−	0.547903i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	380.2.be.b.51.16	yes	120
4.3	odd	2	inner	380.2.be.b.51.13	✓	120
19.3	odd	18	inner	380.2.be.b.231.13	yes	120
76.3	even	18	inner	380.2.be.b.231.16	yes	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
380.2.be.b.51.13	✓	120	4.3	odd	2	inner
380.2.be.b.51.16	yes	120	1.1	even	1	trivial
380.2.be.b.231.13	yes	120	19.3	odd	18	inner
380.2.be.b.231.16	yes	120	76.3	even	18	inner

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:	\( N \)	\(=\)	\( 380 = 2^{2} \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	380.be (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(1.06837 + 0.926603i) q^{2} +(-2.81895 - 1.02602i) q^{3} +(0.282813 + 1.97990i) q^{4} +(-0.173648 - 0.984808i) q^{5} +(-2.06097 - 3.70821i) q^{6} +(-0.824757 - 0.476173i) q^{7} +(-1.53244 + 2.37732i) q^{8} +(4.59567 + 3.85622i) q^{9} +O(q^{10})\)	\(q+(1.06837 + 0.926603i) q^{2} +(-2.81895 - 1.02602i) q^{3} +(0.282813 + 1.97990i) q^{4} +(-0.173648 - 0.984808i) q^{5} +(-2.06097 - 3.70821i) q^{6} +(-0.824757 - 0.476173i) q^{7} +(-1.53244 + 2.37732i) q^{8} +(4.59567 + 3.85622i) q^{9} +(0.727006 - 1.21304i) q^{10} +(3.60735 - 2.08271i) q^{11} +(1.23417 - 5.87143i) q^{12} +(-2.21216 - 6.07786i) q^{13} +(-0.439918 - 1.27295i) q^{14} +(-0.520922 + 2.95429i) q^{15} +(-3.84003 + 1.11989i) q^{16} +(5.49957 - 4.61469i) q^{17} +(1.33667 + 8.37821i) q^{18} +(1.12610 - 4.21093i) q^{19} +(1.90071 - 0.622323i) q^{20} +(1.83639 + 2.18852i) q^{21} +(5.78381 + 1.11749i) q^{22} +(-2.84103 - 0.500950i) q^{23} +(6.75903 - 5.12925i) q^{24} +(-0.939693 + 0.342020i) q^{25} +(3.26837 - 8.54318i) q^{26} +(-4.49863 - 7.79185i) q^{27} +(0.709525 - 1.76761i) q^{28} +(-0.111039 + 0.132332i) q^{29} +(-3.29399 + 2.67358i) q^{30} +(-2.18008 + 3.77601i) q^{31} +(-5.14025 - 2.36174i) q^{32} +(-12.3058 + 2.16985i) q^{33} +(10.1515 + 0.165742i) q^{34} +(-0.325722 + 0.894913i) q^{35} +(-6.33523 + 10.1896i) q^{36} +3.84952i q^{37} +(5.10495 - 3.45536i) q^{38} +19.4029i q^{39} +(2.60731 + 1.09634i) q^{40} +(-0.422225 + 1.16006i) q^{41} +(-0.0659561 + 4.03975i) q^{42} +(12.5744 - 2.21721i) q^{43} +(5.14376 + 6.55319i) q^{44} +(2.99961 - 5.19547i) q^{45} +(-2.57108 - 3.16770i) q^{46} +(-4.56576 + 5.44126i) q^{47} +(11.9739 + 0.783025i) q^{48} +(-3.04652 - 5.27672i) q^{49} +(-1.32085 - 0.505319i) q^{50} +(-20.2378 + 7.36595i) q^{51} +(11.4080 - 6.09877i) q^{52} +(-3.93418 - 0.693702i) q^{53} +(2.41377 - 12.4930i) q^{54} +(-2.67747 - 3.19089i) q^{55} +(2.39590 - 1.23100i) q^{56} +(-7.49491 + 10.7150i) q^{57} +(-0.241250 + 0.0384892i) q^{58} +(1.70839 - 1.43351i) q^{59} +(-5.99654 - 0.195861i) q^{60} +(-0.168121 + 0.953461i) q^{61} +(-5.82799 + 2.01410i) q^{62} +(-1.95408 - 5.36878i) q^{63} +(-3.30328 - 7.28617i) q^{64} +(-5.60139 + 3.23396i) q^{65} +(-15.1577 - 9.08444i) q^{66} +(-5.09504 - 4.27524i) q^{67} +(10.6920 + 9.58353i) q^{68} +(7.49474 + 4.32709i) q^{69} +(-1.17722 + 0.654281i) q^{70} +(-1.76594 - 10.0151i) q^{71} +(-16.2100 + 5.01594i) q^{72} +(0.317628 + 0.115607i) q^{73} +(-3.56698 + 4.11270i) q^{74} +2.99987 q^{75} +(8.65570 + 1.03867i) q^{76} -3.96692 q^{77} +(-17.9788 + 20.7294i) q^{78} +(9.56659 + 3.48195i) q^{79} +(1.76969 + 3.58723i) q^{80} +(1.56161 + 8.85631i) q^{81} +(-1.52600 + 0.848128i) q^{82} +(-6.45533 - 3.72698i) q^{83} +(-3.81371 + 4.25482i) q^{84} +(-5.49957 - 4.61469i) q^{85} +(15.4886 + 9.28272i) q^{86} +(0.448790 - 0.259109i) q^{87} +(-0.576783 + 11.7674i) q^{88} +(0.223306 + 0.613529i) q^{89} +(8.01882 - 2.77122i) q^{90} +(-1.06962 + 6.06613i) q^{91} +(0.188351 - 5.76663i) q^{92} +(10.0198 - 8.40762i) q^{93} +(-9.91980 + 1.58261i) q^{94} +(-4.34250 - 0.377775i) q^{95} +(12.0670 + 11.9316i) q^{96} +(10.0901 + 12.0249i) q^{97} +(1.63463 - 8.46039i) q^{98} +(24.6095 + 4.33933i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 120 q + 3 q^{2} - 3 q^{4} + 3 q^{6} - 36 q^{8} + 6 q^{9}+O(q^{10}) \) 120 * q + 3 * q^2 - 3 * q^4 + 3 * q^6 - 36 * q^8 + 6 * q^9	\( 120 q + 3 q^{2} - 3 q^{4} + 3 q^{6} - 36 q^{8} + 6 q^{9} + 3 q^{10} - 12 q^{13} - 18 q^{14} + 9 q^{16} + 48 q^{17} - 12 q^{21} - 18 q^{24} - 24 q^{26} + 69 q^{28} - 12 q^{30} - 27 q^{32} + 6 q^{33} - 18 q^{34} - 72 q^{36} - 48 q^{38} - 36 q^{41} - 27 q^{42} - 99 q^{44} + 60 q^{45} + 27 q^{46} - 63 q^{48} + 60 q^{49} + 33 q^{52} - 24 q^{53} + 21 q^{54} - 48 q^{57} + 6 q^{60} - 24 q^{61} + 54 q^{62} + 84 q^{64} - 18 q^{65} - 132 q^{66} + 66 q^{68} - 72 q^{69} + 36 q^{70} - 42 q^{72} + 66 q^{74} + 180 q^{76} + 60 q^{77} + 114 q^{78} + 27 q^{80} - 66 q^{81} + 33 q^{82} - 144 q^{84} - 48 q^{85} + 75 q^{86} + 9 q^{88} - 3 q^{90} - 42 q^{92} - 144 q^{93} + 78 q^{96} + 42 q^{97} - 87 q^{98}+O(q^{100}) \) 120 * q + 3 * q^2 - 3 * q^4 + 3 * q^6 - 36 * q^8 + 6 * q^9 + 3 * q^10 - 12 * q^13 - 18 * q^14 + 9 * q^16 + 48 * q^17 - 12 * q^21 - 18 * q^24 - 24 * q^26 + 69 * q^28 - 12 * q^30 - 27 * q^32 + 6 * q^33 - 18 * q^34 - 72 * q^36 - 48 * q^38 - 36 * q^41 - 27 * q^42 - 99 * q^44 + 60 * q^45 + 27 * q^46 - 63 * q^48 + 60 * q^49 + 33 * q^52 - 24 * q^53 + 21 * q^54 - 48 * q^57 + 6 * q^60 - 24 * q^61 + 54 * q^62 + 84 * q^64 - 18 * q^65 - 132 * q^66 + 66 * q^68 - 72 * q^69 + 36 * q^70 - 42 * q^72 + 66 * q^74 + 180 * q^76 + 60 * q^77 + 114 * q^78 + 27 * q^80 - 66 * q^81 + 33 * q^82 - 144 * q^84 - 48 * q^85 + 75 * q^86 + 9 * q^88 - 3 * q^90 - 42 * q^92 - 144 * q^93 + 78 * q^96 + 42 * q^97 - 87 * q^98

Introduction

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