LMFDB - Embedded newform 930.2.bo.b.179.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(179,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 15, 13]))

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

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

chi := DirichletCharacter("930.179");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.bo (of order $30$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$256$
Relative dimension:	$32$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			179.19
Character	$\chi$	$=$	930.179
Dual form			930.2.bo.b.239.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.309017 - 0.951057i) q^{2} +(0.584760 + 1.63035i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.447993 - 2.19073i) q^{5} +(1.36986 - 1.05995i) q^{6} +(1.37162 - 3.08072i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-2.31611 + 1.90673i) q^{9} +O(q^{10})$	\(q+(-0.309017 - 0.951057i) q^{2} +(0.584760 + 1.63035i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.447993 - 2.19073i) q^{5} +(1.36986 - 1.05995i) q^{6} +(1.37162 - 3.08072i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-2.31611 + 1.90673i) q^{9} +(-1.94507 + 1.10304i) q^{10} +(-0.323323 - 3.07621i) q^{11} +(-1.43138 - 0.975272i) q^{12} +(0.496577 + 0.551505i) q^{13} +(-3.35379 - 0.352498i) q^{14} +(3.30970 - 2.01144i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-6.41828 - 0.674588i) q^{17} +(2.52913 + 1.61354i) q^{18} +(0.756140 - 0.839778i) q^{19} +(1.65011 + 1.50901i) q^{20} +(5.82473 + 0.434754i) q^{21} +(-2.82574 + 1.25810i) q^{22} +(-3.94420 + 5.42873i) q^{23} +(-0.485218 + 1.66270i) q^{24} +(-4.59860 + 1.96287i) q^{25} +(0.371061 - 0.642697i) q^{26} +(-4.46302 - 2.66111i) q^{27} +(0.701133 + 3.29857i) q^{28} +(-2.53013 - 7.78695i) q^{29} +(-2.93575 - 2.52614i) q^{30} +(0.267293 - 5.56134i) q^{31} -1.00000 q^{32} +(4.82625 - 2.32598i) q^{33} +(1.34179 + 6.31261i) q^{34} +(-7.36350 - 1.62472i) q^{35} +(0.753026 - 2.90395i) q^{36} +(3.19859 + 5.54012i) q^{37} +(-1.03234 - 0.459626i) q^{38} +(-0.608770 + 1.13209i) q^{39} +(0.925245 - 2.03566i) q^{40} +(-1.24260 + 5.84595i) q^{41} +(-1.38647 - 5.67400i) q^{42} +(5.67427 - 6.30191i) q^{43} +(2.06973 + 2.29866i) q^{44} +(5.21474 + 4.21978i) q^{45} +(6.38185 + 2.07359i) q^{46} +(-0.520163 + 1.60090i) q^{47} +(1.73126 - 0.0523321i) q^{48} +(-2.92555 - 3.24916i) q^{49} +(3.28784 + 3.76697i) q^{50} +(-2.65333 - 10.8585i) q^{51} +(-0.725906 - 0.154296i) q^{52} +(-1.76831 - 3.97169i) q^{53} +(-1.15171 + 5.06691i) q^{54} +(-6.59431 + 2.08644i) q^{55} +(2.92047 - 1.68613i) q^{56} +(1.81130 + 0.741708i) q^{57} +(-6.62398 + 4.81260i) q^{58} +(-2.85651 - 13.4388i) q^{59} +(-1.49531 + 3.57268i) q^{60} -2.51476i q^{61} +(-5.37175 + 1.46434i) q^{62} +(2.69726 + 9.75061i) q^{63} +(0.309017 + 0.951057i) q^{64} +(0.985735 - 1.33494i) q^{65} +(-3.70353 - 3.87127i) q^{66} +(-2.86510 - 1.65416i) q^{67} +(5.58901 - 3.22682i) q^{68} +(-11.1572 - 3.25595i) q^{69} +(0.730249 + 7.50517i) q^{70} +(-0.327765 - 0.736172i) q^{71} +(-2.99452 + 0.181201i) q^{72} +(-1.28769 - 12.2515i) q^{73} +(4.28055 - 4.75403i) q^{74} +(-5.88924 - 6.34955i) q^{75} +(-0.118121 + 1.12384i) q^{76} +(-9.92042 - 3.22334i) q^{77} +(1.26481 + 0.229138i) q^{78} +(8.80976 + 0.925943i) q^{79} +(-2.22195 - 0.250906i) q^{80} +(1.72876 - 8.83241i) q^{81} +(5.94381 - 0.624720i) q^{82} +(-1.26882 + 5.96933i) q^{83} +(-4.96785 + 3.07197i) q^{84} +(1.39750 + 14.3629i) q^{85} +(-7.74692 - 3.44915i) q^{86} +(11.2160 - 8.67851i) q^{87} +(1.54658 - 2.67875i) q^{88} +(10.3718 - 7.53552i) q^{89} +(2.40180 - 6.26349i) q^{90} +(2.38015 - 0.773357i) q^{91} -6.71028i q^{92} +(9.22327 - 2.81627i) q^{93} +1.68328 q^{94} +(-2.17847 - 1.28028i) q^{95} +(-0.584760 - 1.63035i) q^{96} +(-2.41469 - 3.32353i) q^{97} +(-2.18609 + 3.78641i) q^{98} +(6.61436 + 6.50837i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9}+O(q^{10}) $ 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9	$ 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9} - 2 q^{10} - 10 q^{15} - 64 q^{16} + 6 q^{17} + 6 q^{18} - 4 q^{19} - 3 q^{20} - 20 q^{23} - 2 q^{25} + 42 q^{31} - 256 q^{32} - 8 q^{33} + 14 q^{34} + 16 q^{35} + 4 q^{36} - 36 q^{38} + 8 q^{39} + 3 q^{40} + 55 q^{45} - 10 q^{46} + 6 q^{47} - 40 q^{49} + 7 q^{50} + 68 q^{51} + 34 q^{53} + 6 q^{57} + 10 q^{60} - 2 q^{62} + 72 q^{63} - 64 q^{64} + 8 q^{66} + 6 q^{68} + 10 q^{69} - 16 q^{70} + 6 q^{72} - 80 q^{75} - 24 q^{76} - 100 q^{77} - 8 q^{78} + 40 q^{79} + 2 q^{80} + 12 q^{81} + 26 q^{83} - 30 q^{85} - 16 q^{87} - 25 q^{90} - 20 q^{91} + 22 q^{93} + 4 q^{94} - 56 q^{95} - 130 q^{98} + 102 q^{99}+O(q^{100}) $ 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9 - 2 * q^10 - 10 * q^15 - 64 * q^16 + 6 * q^17 + 6 * q^18 - 4 * q^19 - 3 * q^20 - 20 * q^23 - 2 * q^25 + 42 * q^31 - 256 * q^32 - 8 * q^33 + 14 * q^34 + 16 * q^35 + 4 * q^36 - 36 * q^38 + 8 * q^39 + 3 * q^40 + 55 * q^45 - 10 * q^46 + 6 * q^47 - 40 * q^49 + 7 * q^50 + 68 * q^51 + 34 * q^53 + 6 * q^57 + 10 * q^60 - 2 * q^62 + 72 * q^63 - 64 * q^64 + 8 * q^66 + 6 * q^68 + 10 * q^69 - 16 * q^70 + 6 * q^72 - 80 * q^75 - 24 * q^76 - 100 * q^77 - 8 * q^78 + 40 * q^79 + 2 * q^80 + 12 * q^81 + 26 * q^83 - 30 * q^85 - 16 * q^87 - 25 * q^90 - 20 * q^91 + 22 * q^93 + 4 * q^94 - 56 * q^95 - 130 * q^98 + 102 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{13}{30}\right)$

Coefficient data

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

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

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

$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$3$	0.584760	+	1.63035i	0.337611	+	0.941286i
$3$	0.584760	+	1.63035i	0.337611	+	0.941286i
$4$	−0.809017	+	0.587785i	−0.404508	+	0.293893i
$5$	−0.447993	−	2.19073i	−0.200349	−	0.979725i
$5$	−0.447993	−	2.19073i	−0.200349	−	0.979725i
$6$	1.36986	−	1.05995i	0.559243	−	0.432721i
$7$	1.37162	−	3.08072i	0.518425	−	1.16440i	−0.444781	−	0.895639i	$-0.646719\pi$
$7$	1.37162	−	3.08072i	0.518425	−	1.16440i	0.963206	−	0.268763i	$-0.0866147\pi$
$8$	0.809017	+	0.587785i	0.286031	+	0.207813i
$9$	−2.31611	+	1.90673i	−0.772038	+	0.635577i
$10$	−1.94507	+	1.10304i	−0.615086	+	0.348812i
$11$	−0.323323	−	3.07621i	−0.0974856	−	0.927513i	−0.928518	−	0.371289i	$-0.878916\pi$
$11$	−0.323323	−	3.07621i	−0.0974856	−	0.927513i	0.831032	−	0.556225i	$-0.187751\pi$
$12$	−1.43138	−	0.975272i	−0.413203	−	0.281537i
$13$	0.496577	+	0.551505i	0.137726	+	0.152960i	0.808062	−	0.589098i	$-0.200517\pi$
$13$	0.496577	+	0.551505i	0.137726	+	0.152960i	−0.670336	+	0.742058i	$0.733850\pi$
$14$	−3.35379	−	0.352498i	−0.896338	−	0.0942090i
$15$	3.30970	−	2.01144i	0.854561	−	0.519351i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	−6.41828	−	0.674588i	−1.55666	−	0.163612i	−0.713261	−	0.700898i	$-0.752783\pi$
$17$	−6.41828	−	0.674588i	−1.55666	−	0.163612i	−0.843400	+	0.537286i	$0.819449\pi$
$18$	2.52913	+	1.61354i	0.596121	+	0.380315i
$19$	0.756140	−	0.839778i	0.173470	−	0.192658i	−0.650140	−	0.759815i	$-0.725290\pi$
$19$	0.756140	−	0.839778i	0.173470	−	0.192658i	0.823610	+	0.567156i	$0.191956\pi$
$20$	1.65011	+	1.50901i	0.368977	+	0.337426i
$21$	5.82473	+	0.434754i	1.27106	+	0.0948712i
$22$	−2.82574	+	1.25810i	−0.602450	+	0.268228i
$23$	−3.94420	+	5.42873i	−0.822423	+	1.13197i	0.166863	+	0.985980i	$0.446636\pi$
$23$	−3.94420	+	5.42873i	−0.822423	+	1.13197i	−0.989286	+	0.145988i	$0.953364\pi$
$24$	−0.485218	+	1.66270i	−0.0990447	+	0.339397i
$25$	−4.59860	+	1.96287i	−0.919721	+	0.392573i
$26$	0.371061	−	0.642697i	0.0727711	−	0.126043i
$27$	−4.46302	−	2.66111i	−0.858908	−	0.512130i
$28$	0.701133	+	3.29857i	0.132502	+	0.623372i
$29$	−2.53013	−	7.78695i	−0.469834	−	1.44600i	−0.852800	−	0.522238i	$-0.825097\pi$
$29$	−2.53013	−	7.78695i	−0.469834	−	1.44600i	0.382966	−	0.923763i	$-0.374903\pi$
$30$	−2.93575	−	2.52614i	−0.535991	−	0.461208i
$31$	0.267293	−	5.56134i	0.0480073	−	0.998847i
$31$	0.267293	−	5.56134i	0.0480073	−	0.998847i
$32$	−1.00000			−0.176777
$33$	4.82625	−	2.32598i	0.840143	−	0.404900i
$34$	1.34179	+	6.31261i	0.230114	+	1.08260i
$35$	−7.36350	−	1.62472i	−1.24466	−	0.274627i
$36$	0.753026	−	2.90395i	0.125504	−	0.483992i
$37$	3.19859	+	5.54012i	0.525845	+	0.910791i	0.999547	+	0.0301051i	$0.00958420\pi$
$37$	3.19859	+	5.54012i	0.525845	+	0.910791i	−0.473702	+	0.880685i	$0.657082\pi$
$38$	−1.03234	−	0.459626i	−0.167467	−	0.0745612i
$39$	−0.608770	+	1.13209i	−0.0974812	+	0.181280i
$40$	0.925245	−	2.03566i	0.146294	−	0.321866i
$41$	−1.24260	+	5.84595i	−0.194061	+	0.912984i	0.768064	+	0.640374i	$0.221220\pi$
$41$	−1.24260	+	5.84595i	−0.194061	+	0.912984i	−0.962124	+	0.272611i	$0.912113\pi$
$42$	−1.38647	−	5.67400i	−0.213936	−	0.875517i
$43$	5.67427	−	6.30191i	0.865318	−	0.961033i	−0.134235	−	0.990950i	$-0.542858\pi$
$43$	5.67427	−	6.30191i	0.865318	−	0.961033i	0.999552	+	0.0299170i	$0.00952429\pi$
$44$	2.06973	+	2.29866i	0.312023	+	0.346537i
$45$	5.21474	+	4.21978i	0.777367	+	0.629047i
$46$	6.38185	+	2.07359i	0.940953	+	0.305734i
$47$	−0.520163	+	1.60090i	−0.0758735	+	0.233515i	−0.981799	−	0.189922i	$-0.939176\pi$
$47$	−0.520163	+	1.60090i	−0.0758735	+	0.233515i	0.905926	+	0.423437i	$0.139176\pi$
$48$	1.73126	−	0.0523321i	0.249886	−	0.00755348i
$49$	−2.92555	−	3.24916i	−0.417936	−	0.464165i
$50$	3.28784	+	3.76697i	0.464971	+	0.532730i
$51$	−2.65333	−	10.8585i	−0.371541	−	1.52050i
$52$	−0.725906	−	0.154296i	−0.100665	−	0.0213970i
$53$	−1.76831	−	3.97169i	−0.242896	−	0.545553i	0.750423	−	0.660958i	$-0.229850\pi$
$53$	−1.76831	−	3.97169i	−0.242896	−	0.545553i	−0.993319	+	0.115405i	$0.963183\pi$
$54$	−1.15171	+	5.06691i	−0.156728	+	0.689519i
$55$	−6.59431	+	2.08644i	−0.889176	+	0.281335i
$56$	2.92047	−	1.68613i	0.390264	−	0.225319i
$57$	1.81130	+	0.741708i	0.239912	+	0.0982416i
$58$	−6.62398	+	4.81260i	−0.869771	+	0.631925i
$59$	−2.85651	−	13.4388i	−0.371886	−	1.74959i	−0.623560	−	0.781776i	$-0.714314\pi$
$59$	−2.85651	−	13.4388i	−0.371886	−	1.74959i	0.251673	−	0.967812i	$-0.419019\pi$
$60$	−1.49531	+	3.57268i	−0.193044	+	0.461231i
$61$		−	2.51476i		−	0.321982i	−0.986956	−	0.160991i	$-0.948531\pi$
$61$		−	2.51476i		−	0.321982i	0.986956	−	0.160991i	$-0.0514690\pi$
$62$	−5.37175	+	1.46434i	−0.682213	+	0.185971i
$63$	2.69726	+	9.75061i	0.339823	+	1.22846i
$64$	0.309017	+	0.951057i	0.0386271	+	0.118882i
$65$	0.985735	−	1.33494i	0.122265	−	0.165579i
$66$	−3.70353	−	3.87127i	−0.455873	−	0.476521i
$67$	−2.86510	−	1.65416i	−0.350027	−	0.202088i	0.314670	−	0.949201i	$-0.398106\pi$
$67$	−2.86510	−	1.65416i	−0.350027	−	0.202088i	−0.664697	+	0.747113i	$0.731439\pi$
$68$	5.58901	−	3.22682i	0.677767	−	0.391309i
$69$	−11.1572	−	3.25595i	−1.34316	−	0.391970i
$70$	0.730249	+	7.50517i	0.0872814	+	0.897039i
$71$	−0.327765	−	0.736172i	−0.0388985	−	0.0873676i	0.893051	−	0.449955i	$-0.148560\pi$
$71$	−0.327765	−	0.736172i	−0.0388985	−	0.0873676i	−0.931950	+	0.362588i	$0.881893\pi$
$72$	−2.99452	+	0.181201i	−0.352908	+	0.0213547i
$73$	−1.28769	−	12.2515i	−0.150713	−	1.43394i	−0.764581	−	0.644527i	$-0.777054\pi$
$73$	−1.28769	−	12.2515i	−0.150713	−	1.43394i	0.613869	−	0.789408i	$-0.289612\pi$
$74$	4.28055	−	4.75403i	0.497604	−	0.552645i
$75$	−5.88924	−	6.34955i	−0.680031	−	0.733183i
$76$	−0.118121	+	1.12384i	−0.0135494	+	0.128914i
$77$	−9.92042	−	3.22334i	−1.13054	−	0.367334i
$78$	1.26481	+	0.229138i	0.143211	+	0.0259448i
$79$	8.80976	+	0.925943i	0.991176	+	0.104177i	0.586213	−	0.810157i	$-0.300618\pi$
$79$	8.80976	+	0.925943i	0.991176	+	0.104177i	0.404962	+	0.914333i	$0.367285\pi$
$80$	−2.22195	−	0.250906i	−0.248421	−	0.0280522i
$81$	1.72876	−	8.83241i	0.192084	−	0.981379i
$82$	5.94381	−	0.624720i	0.656384	−	0.0689888i
$83$	−1.26882	+	5.96933i	−0.139271	+	0.655219i	0.852018	+	0.523513i	$0.175379\pi$
$83$	−1.26882	+	5.96933i	−0.139271	+	0.655219i	−0.991289	+	0.131706i	$0.957954\pi$
$84$	−4.96785	+	3.07197i	−0.542037	+	0.335179i
$85$	1.39750	+	14.3629i	0.151581	+	1.55788i
$86$	−7.74692	−	3.44915i	−0.835372	−	0.371932i
$87$	11.2160	−	8.67851i	1.20248	−	0.930434i
$88$	1.54658	−	2.67875i	0.164866	−	0.285556i
$89$	10.3718	−	7.53552i	1.09940	−	0.798764i	0.118442	−	0.992961i	$-0.462210\pi$
$89$	10.3718	−	7.53552i	1.09940	−	0.798764i	0.980963	+	0.194197i	$0.0622101\pi$
$90$	2.40180	−	6.26349i	0.253172	−	0.660230i
$91$	2.38015	−	0.773357i	0.249507	−	0.0810698i
$92$		−	6.71028i		−	0.699595i
$93$	9.22327	−	2.81627i	0.956408	−	0.292033i
$94$	1.68328			0.173617
$95$	−2.17847	−	1.28028i	−0.223507	−	0.131354i
$96$	−0.584760	−	1.63035i	−0.0596818	−	0.166397i
$97$	−2.41469	−	3.32353i	−0.245174	−	0.337454i	0.668640	−	0.743587i	$-0.266877\pi$
$97$	−2.41469	−	3.32353i	−0.245174	−	0.337454i	−0.913814	+	0.406133i	$0.866877\pi$
$98$	−2.18609	+	3.78641i	−0.220828	+	0.382485i
$99$	6.61436	+	6.50837i	0.664768	+	0.654115i
$100$	2.56661	−	4.29098i	0.256661	−	0.429098i
$101$	8.31447	−	11.4439i	0.827321	−	1.13871i	−0.161095	−	0.986939i	$-0.551503\pi$
$101$	8.31447	−	11.4439i	0.827321	−	1.13871i	0.988416	−	0.151771i	$-0.0484975\pi$
$102$	−9.50716	+	5.87894i	−0.941349	+	0.582102i
$103$	−2.07203	+	9.74812i	−0.204163	+	0.960511i	0.750050	+	0.661382i	$0.230030\pi$
$103$	−2.07203	+	9.74812i	−0.204163	+	0.960511i	−0.954213	+	0.299129i	$0.903304\pi$
$104$	0.0775730	+	0.738057i	0.00760665	+	0.0723725i
$105$	−1.65701	−	12.9552i	−0.161708	−	1.26430i
$106$	−3.23086	+	2.90908i	−0.313809	+	0.282555i
$107$	−0.417527	+	3.97250i	−0.0403639	+	0.384036i	0.955627	+	0.294580i	$0.0951797\pi$
$107$	−0.417527	+	3.97250i	−0.0403639	+	0.384036i	−0.995991	+	0.0894566i	$0.971487\pi$
$108$	5.17481	−	0.470415i	0.497947	−	0.0452657i
$109$	−3.06073	+	9.41994i	−0.293164	+	0.902267i	0.690668	+	0.723172i	$0.257317\pi$
$109$	−3.06073	+	9.41994i	−0.293164	+	0.902267i	−0.983832	+	0.179095i	$0.942683\pi$
$110$	4.02207	+	5.62682i	0.383490	+	0.536496i
$111$	−7.16196	+	8.45448i	−0.679783	+	0.802463i
$112$	−2.50608	−	2.25649i	−0.236802	−	0.213218i
$113$	0.743417	+	7.07314i	0.0699348	+	0.665385i	0.972192	+	0.234186i	$0.0752425\pi$
$113$	0.743417	+	7.07314i	0.0699348	+	0.665385i	−0.902257	+	0.431199i	$0.858091\pi$
$114$	0.145685	−	1.95185i	0.0136446	−	0.182807i
$115$	13.6599	+	6.20865i	1.27379	+	0.578960i
$116$	6.62398	+	4.81260i	0.615021	+	0.446839i
$117$	−2.20170	−	0.330508i	−0.203547	−	0.0305555i
$118$	−11.8984	+	6.86954i	−1.09534	+	0.632392i
$119$	−10.8817	+	18.8476i	−0.997522	+	1.72776i
$120$	3.85990	+	0.318105i	0.352359	+	0.0290389i
$121$	1.40107	−	0.297808i	0.127370	−	0.0270734i
$122$	−2.39168	+	0.777103i	−0.216532	+	0.0703556i
$123$	−10.2576	+	1.39260i	−0.924896	+	0.125567i
$124$	3.05263	+	4.65633i	0.274134	+	0.418151i
$125$	6.36025	+	9.19495i	0.568878	+	0.822422i
$126$	8.43988	−	5.57835i	0.751884	−	0.496959i
$127$	−13.6905	+	2.91000i	−1.21483	+	0.258220i	−0.770381	−	0.637583i	$-0.779934\pi$
$127$	−13.6905	+	2.91000i	−1.21483	+	0.258220i	−0.444450	+	0.895804i	$0.646601\pi$
$128$	0.809017	−	0.587785i	0.0715077	−	0.0519534i
$129$	13.5924	+	5.56596i	1.19675	+	0.490056i
$130$	−1.57421	−	0.524972i	−0.138067	−	0.0460431i
$131$	−1.70700	+	3.83399i	−0.149141	+	0.334977i	−0.972631	−	0.232354i	$-0.925357\pi$
$131$	−1.70700	+	3.83399i	−0.149141	+	0.334977i	0.823490	+	0.567331i	$0.192024\pi$
$132$	−2.53735	+	4.71855i	−0.220848	+	0.410697i
$133$	−1.54998	−	3.48131i	−0.134400	−	0.301868i
$134$	−0.687840	+	3.23603i	−0.0594203	+	0.279551i
$135$	−3.83037	+	10.9694i	−0.329665	+	0.944098i
$136$	−4.79598	−	4.31832i	−0.411252	−	0.370293i
$137$	13.7484	−	12.3791i	1.17461	−	1.05762i	0.177310	−	0.984155i	$-0.443260\pi$
$137$	13.7484	−	12.3791i	1.17461	−	1.05762i	0.997298	−	0.0734666i	$-0.0234062\pi$
$138$	0.351163	+	11.6172i	0.0298929	+	0.988925i
$139$	1.17511	+	0.381815i	0.0996711	+	0.0323851i	0.358428	−	0.933557i	$-0.383313\pi$
$139$	1.17511	+	0.381815i	0.0996711	+	0.0323851i	−0.258757	+	0.965942i	$0.583313\pi$
$140$	6.91218	−	3.01373i	0.584186	−	0.254707i
$141$	−2.91420	+	0.0880896i	−0.245420	+	0.00741848i
$142$	−0.598856	+	0.539213i	−0.0502549	+	0.0452497i
$143$	1.53599	−	1.70589i	0.128446	−	0.142654i
$144$	1.09769	+	2.79197i	0.0914742	+	0.232664i
$145$	−15.9256	+	9.03134i	−1.32255	+	0.750012i
$146$	−11.2540	+	5.01060i	−0.931387	+	0.414680i
$147$	3.58653	−	6.66966i	0.295812	−	0.550105i
$148$	−5.84412	−	2.60197i	−0.480383	−	0.213880i
$149$	−11.4060	+	6.58527i	−0.934418	+	0.539487i	−0.888206	−	0.459445i	$-0.848048\pi$
$149$	−11.4060	+	6.58527i	−0.934418	+	0.539487i	−0.0462119	+	0.998932i	$0.514715\pi$
$150$	−4.21891	+	7.56312i	−0.344472	+	0.617526i
$151$	−2.54535	−	3.50337i	−0.207138	−	0.285100i	0.692790	−	0.721139i	$-0.256381\pi$
$151$	−2.54535	−	3.50337i	−0.207138	−	0.285100i	−0.899928	+	0.436039i	$0.856381\pi$
$152$	1.10534	−	0.234947i	0.0896549	−	0.0190567i
$153$	16.1517	−	10.6755i	1.30579	−	0.863064i
$154$			10.4309i			0.840550i
$155$	−12.3032	+	1.90588i	−0.988213	+	0.153084i
$156$	−0.172923	−	1.27371i	−0.0138449	−	0.101978i
$157$	12.7694	−	4.14903i	1.01911	−	0.331128i	0.248632	−	0.968598i	$-0.420019\pi$
$157$	12.7694	−	4.14903i	1.01911	−	0.331128i	0.770475	+	0.637470i	$0.220019\pi$
$158$	−1.84174	−	8.66471i	−0.146521	−	0.689328i
$159$	5.44122	−	5.20545i	0.431517	−	0.412819i
$160$	0.447993	+	2.19073i	0.0354170	+	0.173192i
$161$	11.3144	+	19.5971i	0.891701	+	1.54447i
$162$	−8.93433	+	1.08522i	−0.701947	+	0.0852629i
$163$	−11.0543	+	15.2149i	−0.865836	+	1.19172i	0.114310	+	0.993445i	$0.463534\pi$
$163$	−11.0543	+	15.2149i	−0.865836	+	1.19172i	−0.980146	+	0.198276i	$0.936466\pi$
$164$	−2.43088	−	5.45985i	−0.189820	−	0.426343i
$165$	−7.25772	−	9.53100i	−0.565012	−	0.741987i
$166$	6.06926	−	0.637905i	0.471066	−	0.0495110i
$167$	18.1024	+	16.2995i	1.40081	+	1.26129i	0.924059	+	0.382251i	$0.124851\pi$
$167$	18.1024	+	16.2995i	1.40081	+	1.26129i	0.476747	+	0.879040i	$0.341816\pi$
$168$	4.45676	+	3.77542i	0.343847	+	0.291280i
$169$	1.30130	−	12.3811i	0.100100	−	0.952389i
$170$	13.2281	−	5.76750i	1.01455	−	0.442347i
$171$	−0.150074	+	3.38678i	−0.0114764	+	0.258993i
$172$	−0.886408	+	8.43360i	−0.0675879	+	0.643056i
$173$	13.6298	+	15.1374i	1.03625	+	1.15087i	0.988377	+	0.152020i	$0.0485778\pi$
$173$	13.6298	+	15.1374i	1.03625	+	1.15087i	0.0478736	+	0.998853i	$0.484756\pi$
$174$	−11.7197	−	7.98522i	−0.888467	−	0.605358i
$175$	−0.260520	+	16.8593i	−0.0196935	+	1.27444i
$176$	−3.02556	−	0.643104i	−0.228061	−	0.0484758i
$177$	20.2397	−	12.5156i	1.52131	−	0.940732i
$178$	−10.3718	−	7.53552i	−0.777396	−	0.564811i
$179$	13.4949	+	6.00831i	1.00866	+	0.449082i	0.843468	−	0.537180i	$-0.180510\pi$
$179$	13.4949	+	6.00831i	1.00866	+	0.449082i	0.165188	+	0.986262i	$0.447177\pi$
$180$	−6.69913	−	0.348726i	−0.499324	−	0.0259925i
$181$	−4.13492	−	2.38730i	−0.307346	−	0.177446i	0.338392	−	0.941005i	$-0.390117\pi$
$181$	−4.13492	−	2.38730i	−0.307346	−	0.177446i	−0.645738	+	0.763559i	$0.723450\pi$
$182$	−1.47101	−	2.02467i	−0.109039	−	0.150079i
$183$	4.09995	−	1.47053i	0.303077	−	0.108705i
$184$	−6.38185	+	2.07359i	−0.470476	+	0.152867i
$185$	10.7040	−	9.48919i	0.786972	−	0.697659i
$186$	−5.52857	−	7.90157i	−0.405375	−	0.579371i
$187$			19.9621i			1.45977i
$188$	−0.520163	−	1.60090i	−0.0379368	−	0.116757i
$189$	−14.3197	+	10.0993i	−1.04160	+	0.734613i
$190$	−0.544437	+	2.46748i	−0.0394976	+	0.179010i
$191$	−3.20717	−	1.85166i	−0.232063	−	0.133981i	0.379461	−	0.925208i	$-0.376110\pi$
$191$	−3.20717	−	1.85166i	−0.232063	−	0.133981i	−0.611523	+	0.791226i	$0.709443\pi$
$192$	−1.36986	+	1.05995i	−0.0988610	+	0.0764951i
$193$	−3.61694	+	8.12377i	−0.260353	+	0.584762i	−0.995670	−	0.0929616i	$-0.970367\pi$
$193$	−3.61694	+	8.12377i	−0.260353	+	0.584762i	0.735317	+	0.677723i	$0.237033\pi$
$194$	−2.41469	+	3.32353i	−0.173364	+	0.238616i
$195$	2.75284	+	0.826481i	0.197135	+	0.0591855i
$196$	4.27663	+	0.909025i	0.305473	+	0.0649304i
$197$	17.0307	−	1.78999i	1.21338	−	0.127532i	0.523866	−	0.851800i	$-0.324489\pi$
$197$	17.0307	−	1.78999i	1.21338	−	0.127532i	0.689518	+	0.724269i	$0.257822\pi$
$198$	4.14587	−	8.30183i	0.294634	−	0.589985i
$199$	−4.66920	+	4.20416i	−0.330991	+	0.298025i	−0.817823	−	0.575470i	$-0.804819\pi$
$199$	−4.66920	+	4.20416i	−0.330991	+	0.298025i	0.486832	+	0.873496i	$0.338152\pi$
$200$	−4.87409	−	1.11500i	−0.344650	−	0.0788424i
$201$	1.02148	−	5.63841i	0.0720498	−	0.397703i
$202$	−13.4531	−	4.37118i	−0.946557	−	0.307555i
$203$	−27.4598	−	2.88614i	−1.92730	−	0.202567i
$204$	8.52908	+	7.22516i	0.597155	+	0.505862i
$205$	13.3636	+	0.103245i	0.933353	+	0.00721093i
$206$	9.91131	−	1.04172i	0.690554	−	0.0725801i
$207$	−1.21591	−	20.0941i	−0.0845114	−	1.39664i
$208$	0.677963	−	0.301849i	0.0470083	−	0.0209294i
$209$	−2.82781	−	2.05453i	−0.195604	−	0.142115i
$210$	−11.8091	+	5.57928i	−0.814903	+	0.385007i
$211$	1.42125	+	2.46167i	0.0978426	+	0.169468i	0.910791	−	0.412867i	$-0.135472\pi$
$211$	1.42125	+	2.46167i	0.0978426	+	0.169468i	−0.812949	+	0.582335i	$0.802139\pi$
$212$	3.76509	+	2.17378i	0.258588	+	0.149296i
$213$	1.00856	−	0.964857i	0.0691053	−	0.0661109i
$214$	3.90710	−	0.830479i	0.267084	−	0.0567704i
$215$	−16.3478	−	9.60758i	−1.11491	−	0.655231i
$216$	−2.04650	−	4.77618i	−0.139246	−	0.324978i
$217$	−16.7663	−	8.45153i	−1.13817	−	0.573727i
$218$	9.90472			0.670832
$219$	19.2214	−	9.26360i	1.29886	−	0.625976i
$220$	4.10853	−	5.56400i	0.276997	−	0.375125i
$221$	−2.81513	−	3.87470i	−0.189366	−	0.260640i
$222$	10.2539	+	4.19885i	0.688194	+	0.281808i
$223$	−1.07891	−	1.86873i	−0.0722494	−	0.125140i	0.827637	−	0.561263i	$-0.189684\pi$
$223$	−1.07891	−	1.86873i	−0.0722494	−	0.125140i	−0.899887	+	0.436123i	$0.856351\pi$
$224$	−1.37162	+	3.08072i	−0.0916455	+	0.205839i
$225$	6.90823	−	13.3145i	0.460549	−	0.887635i
$226$	6.49722	−	2.89275i	0.432189	−	0.192423i
$227$	12.0726	+	2.56610i	0.801284	+	0.170318i	0.590313	−	0.807174i	$-0.299004\pi$
$227$	12.0726	+	2.56610i	0.801284	+	0.170318i	0.210971	+	0.977492i	$0.432337\pi$
$228$	−1.90133	+	0.464599i	−0.125919	+	0.0307688i
$229$	−20.6618	−	18.6039i	−1.36537	−	1.22938i	−0.947051	−	0.321083i	$-0.895953\pi$
$229$	−20.6618	−	18.6039i	−1.36537	−	1.22938i	−0.418318	−	0.908301i	$-0.637380\pi$
$230$	1.68365	−	14.9099i	0.111017	−	0.983128i
$231$	−0.545873	−	18.0587i	−0.0359158	−	1.18817i
$232$	2.53013	−	7.78695i	0.166111	−	0.511238i
$233$	7.01345	−	21.5852i	0.459466	−	1.41409i	−0.406344	−	0.913720i	$-0.633197\pi$
$233$	7.01345	−	21.5852i	0.459466	−	1.41409i	0.865810	−	0.500372i	$-0.166803\pi$
$234$	0.366031	+	2.19607i	0.0239282	+	0.143562i
$235$	3.74016	+	0.422346i	0.243981	+	0.0275508i
$236$	10.2101	+	9.19323i	0.664622	+	0.598429i
$237$	3.64198	+	14.9045i	0.236572	+	0.968151i
$238$	21.2878	+	4.52486i	1.37988	+	0.293303i
$239$	9.78151	−	4.35501i	0.632713	−	0.281702i	−0.0652135	−	0.997871i	$-0.520773\pi$
$239$	9.78151	−	4.35501i	0.632713	−	0.281702i	0.697927	+	0.716169i	$0.254106\pi$
$240$	−0.890238	−	3.76928i	−0.0574646	−	0.243306i
$241$	1.92676	−	4.32758i	0.124114	−	0.278764i	−0.840793	−	0.541356i	$-0.817911\pi$
$241$	1.92676	−	4.32758i	0.124114	−	0.278764i	0.964907	+	0.262593i	$0.0845776\pi$
$242$	−0.716188	−	1.24047i	−0.0460383	−	0.0797407i
$243$	15.4109	−	2.34635i	0.988607	−	0.150518i
$244$	1.47814	+	2.03448i	0.0946281	+	0.130244i
$245$	−5.80740	+	7.86470i	−0.371021	+	0.502457i
$246$	4.49422	+	9.32521i	0.286541	+	0.594554i
$247$	0.838624			0.0533603
$248$	3.48512	−	4.34211i	0.221305	−	0.275724i
$249$	−10.4741	+	1.42200i	−0.663768	+	0.0901153i
$250$	6.77949	−	8.89036i	0.428773	−	0.562276i
$251$	20.3264	−	4.32051i	1.28299	−	0.272708i	0.484541	−	0.874769i	$-0.338987\pi$
$251$	20.3264	−	4.32051i	1.28299	−	0.272708i	0.798450	+	0.602061i	$0.205653\pi$
$252$	−7.91339	−	6.30299i	−0.498497	−	0.397051i
$253$	17.9752	+	10.3780i	1.13009	+	0.652458i
$254$	6.99815	+	12.1212i	0.439103	+	0.760549i
$255$	−22.5995	+	10.6773i	−1.41523	+	0.668638i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	−17.2729	+	7.69039i	−1.07745	+	0.479713i	−0.867213	−	0.497937i	$-0.834091\pi$
$257$	−17.2729	+	7.69039i	−1.07745	+	0.479713i	−0.210240	+	0.977650i	$0.567425\pi$
$258$	1.09325	−	14.6472i	0.0680630	−	0.911892i
$259$	21.4548	−	2.25499i	1.33314	−	0.140118i
$260$	−0.0128201	+	1.65939i	−0.000795072	+	0.102911i
$261$	20.7077	+	13.2112i	1.28177	+	0.817751i
$262$	4.17383	+	0.438688i	0.257860	+	0.0271022i
$263$	−12.0354	−	3.91054i	−0.742136	−	0.241134i	−0.0865418	−	0.996248i	$-0.527582\pi$
$263$	−12.0354	−	3.91054i	−0.742136	−	0.241134i	−0.655594	+	0.755114i	$0.727582\pi$
$264$	5.27169	+	0.955046i	0.324450	+	0.0587790i
$265$	−7.90871	+	5.65318i	−0.485828	+	0.347272i
$266$	−2.83196	+	2.54990i	−0.173638	+	0.156345i
$267$	18.3506	+	12.5032i	1.12304	+	0.765182i
$268$	3.29021	−	0.345815i	0.200981	−	0.0211240i
$269$	−8.21403	−	1.74595i	−0.500818	−	0.106452i	−0.0494260	−	0.998778i	$-0.515739\pi$
$269$	−8.21403	−	1.74595i	−0.500818	−	0.106452i	−0.451392	+	0.892326i	$0.649073\pi$
$270$	11.6162	+	0.253155i	0.706939	+	0.0154065i
$271$	12.1430	−	16.7134i	0.737634	−	1.01527i	−0.261117	−	0.965307i	$-0.584091\pi$
$271$	12.1430	−	16.7134i	0.737634	−	1.01527i	0.998751	−	0.0499594i	$-0.0159092\pi$
$272$	−2.62493	+	5.89569i	−0.159160	+	0.357479i
$273$	2.65266	+	3.42826i	0.160546	+	0.207488i
$274$	−16.0218	−	9.25017i	−0.967910	−	0.558823i
$275$	7.52503	+	13.5116i	0.453776	+	0.814783i
$276$	10.9401	−	3.92390i	0.658519	−	0.236191i
$277$	−4.44295	−	13.6740i	−0.266951	−	0.821590i	−0.991238	−	0.132091i	$-0.957831\pi$
$277$	−4.44295	−	13.6740i	−0.266951	−	0.821590i	0.724287	−	0.689499i	$-0.242169\pi$
$278$		−	1.23558i		−	0.0741051i
$279$	9.98491	+	13.3904i	0.597781	+	0.801660i
$280$	−5.00221	−	5.64258i	−0.298939	−	0.337209i
$281$	−21.1824	+	6.88257i	−1.26363	+	0.410580i	−0.862788	−	0.505566i	$-0.831284\pi$
$281$	−21.1824	+	6.88257i	−1.26363	+	0.410580i	−0.400846	+	0.916146i	$0.631284\pi$
$282$	0.984315	+	2.74435i	0.0586151	+	0.163423i
$283$	−3.32193	−	4.57224i	−0.197468	−	0.271792i	0.698788	−	0.715329i	$-0.253723\pi$
$283$	−3.32193	−	4.57224i	−0.197468	−	0.271792i	−0.896256	+	0.443538i	$0.853723\pi$
$284$	0.697879	+	0.402920i	0.0414115	+	0.0239089i
$285$	0.813433	−	4.30034i	0.0481836	−	0.254730i
$286$	−2.09705	−	0.933665i	−0.124001	−	0.0552088i
$287$	16.3054	+	11.8465i	0.962474	+	0.699279i
$288$	2.31611	−	1.90673i	0.136478	−	0.112355i
$289$	24.1107	+	5.12489i	1.41828	+	0.301464i
$290$	13.5106	+	12.3553i	0.793370	+	0.725530i
$291$	4.00652	−	5.88026i	0.234867	−	0.344707i
$292$	8.24304	+	9.15483i	0.482388	+	0.535746i
$293$	−0.714360	+	6.79668i	−0.0417334	+	0.397067i	0.953637	+	0.300958i	$0.0973063\pi$
$293$	−0.714360	+	6.79668i	−0.0417334	+	0.397067i	−0.995371	+	0.0961087i	$0.969360\pi$
$294$	−7.45153	−	1.34995i	−0.434582	−	0.0787309i
$295$	−28.1612	+	12.2784i	−1.63961	+	0.714874i
$296$	−0.668688	+	6.36214i	−0.0388667	+	0.369792i
$297$	−6.74313	+	14.5896i	−0.391276	+	0.846574i
$298$	9.78762	+	8.81281i	0.566982	+	0.510513i
$299$	−4.95257	+	0.520536i	−0.286415	+	0.0301034i
$300$	8.49667	+	1.67528i	0.490556	+	0.0967225i
$301$	−11.6315	−	26.1247i	−0.670426	−	1.50580i
$302$	−2.54535	+	3.50337i	−0.146468	+	0.201596i
$303$	23.5196	+	6.86362i	1.35116	+	0.394304i
$304$	−0.565017	−	0.978638i	−0.0324059	−	0.0561287i
$305$	−5.50916	+	1.12660i	−0.315454	+	0.0645087i
$306$	−15.1442	−	12.0623i	−0.865734	−	0.689555i
$307$	3.43793	+	16.1742i	0.196213	+	0.923111i	0.960510	+	0.278246i	$0.0897530\pi$
$307$	3.43793	+	16.1742i	0.196213	+	0.923111i	−0.764297	+	0.644865i	$0.776914\pi$
$308$	9.92042	−	3.22334i	0.565268	−	0.183667i
$309$	−17.1045	+	2.32217i	−0.973043	+	0.132104i
$310$	5.61448	+	11.1120i	0.318881	+	0.631122i
$311$		−	22.9195i		−	1.29964i	−0.760086	−	0.649822i	$-0.774843\pi$
$311$		−	22.9195i		−	1.29964i	0.760086	−	0.649822i	$-0.225157\pi$
$312$	−1.15793	+	0.558058i	−0.0655551	+	0.0315938i
$313$	7.94492	−	1.68874i	0.449073	−	0.0954534i	0.0221769	−	0.999754i	$-0.492940\pi$
$313$	7.94492	−	1.68874i	0.449073	−	0.0954534i	0.426896	+	0.904301i	$0.359607\pi$
$314$	−7.89191	−	10.8623i	−0.445367	−	0.612994i
$315$	20.1526	−	10.2772i	1.13547	−	0.579054i
$316$	−7.67150	+	4.42914i	−0.431556	+	0.249159i
$317$	20.6468	+	9.19257i	1.15964	+	0.516306i	0.894133	−	0.447802i	$-0.147793\pi$
$317$	20.6468	+	9.19257i	1.15964	+	0.516306i	0.265510	+	0.964108i	$0.414460\pi$
$318$	−6.63211	−	3.56634i	−0.371910	−	0.199990i
$319$	−23.1363	+	10.3009i	−1.29538	+	0.576741i
$320$	1.94507	−	1.10304i	0.108733	−	0.0616618i
$321$	−6.72074	+	1.64224i	−0.375115	+	0.0916610i
$322$	15.1416	−	16.8165i	0.843811	−	0.937147i
$323$	−5.41962	+	4.87985i	−0.301556	+	0.271522i
$324$	3.79297	+	8.16170i	0.210720	+	0.453428i
$325$	−3.36609	−	1.56144i	−0.186717	−	0.0866130i
$326$	17.8862	+	5.81157i	0.990623	+	0.321873i
$327$	−17.1476	+	0.518334i	−0.948267	+	0.0286639i
$328$	−4.44144	+	3.99909i	−0.245238	+	0.220813i
$329$	4.21844	+	3.79830i	0.232570	+	0.209407i
$330$	−6.82176	+	9.84774i	−0.375526	+	0.542100i
$331$	−1.36400	+	6.41713i	−0.0749723	+	0.352717i	−0.999604	−	0.0281459i	$-0.991040\pi$
$331$	−1.36400	+	6.41713i	−0.0749723	+	0.352717i	0.924631	+	0.380863i	$0.124373\pi$
$332$	−2.48219	−	5.57509i	−0.136228	−	0.305973i
$333$	−17.9718	−	6.73269i	−0.984850	−	0.368949i
$334$	9.90777	−	22.2532i	0.542129	−	1.21764i
$335$	−2.34028	+	7.01771i	−0.127863	+	0.383419i
$336$	2.21342	−	5.40530i	0.120752	−	0.294883i
$337$	20.1510	−	14.6405i	1.09769	−	0.797520i	0.117011	−	0.993131i	$-0.462669\pi$
$337$	20.1510	−	14.6405i	1.09769	−	0.797520i	0.980682	+	0.195610i	$0.0626688\pi$
$338$	−12.1772	+	2.58835i	−0.662353	+	0.140787i
$339$	−11.0970	+	5.34812i	−0.602706	+	0.290470i
$340$	−9.57293	−	10.7984i	−0.519165	−	0.585627i
$341$	−17.1943	+	0.975860i	−0.931124	+	0.0528458i
$342$	3.26739	−	0.903843i	0.176680	−	0.0488742i
$343$	8.42801	−	2.73843i	0.455070	−	0.147861i
$344$	8.29475	−	1.76310i	0.447223	−	0.0950602i
$345$	−2.13457	+	25.9010i	−0.114921	+	1.39446i
$346$	10.1847	−	17.6404i	0.547531	−	0.948352i
$347$	21.5855	−	12.4624i	1.15877	−	0.669017i	0.207762	−	0.978179i	$-0.433382\pi$
$347$	21.5855	−	12.4624i	1.15877	−	0.669017i	0.951009	+	0.309162i	$0.100049\pi$
$348$	−3.97281	+	13.6136i	−0.212965	+	0.729768i
$349$	16.7154	+	12.1445i	0.894755	+	0.650078i	0.937114	−	0.349025i	$-0.113487\pi$
$349$	16.7154	+	12.1445i	0.894755	+	0.650078i	−0.0423582	+	0.999102i	$0.513487\pi$
$350$	16.1147	−	4.96204i	0.861365	−	0.265232i
$351$	−0.748619	−	3.78282i	−0.0399583	−	0.201912i
$352$	0.323323	+	3.07621i	0.0172332	+	0.163963i
$353$	−19.5845	−	17.6339i	−1.04238	−	0.938560i	−0.0442057	−	0.999022i	$-0.514076\pi$
$353$	−19.5845	−	17.6339i	−1.04238	−	0.938560i	−0.998170	+	0.0604628i	$0.980742\pi$
$354$	−18.1575	−	15.3816i	−0.965059	−	0.817521i
$355$	−1.46592	+	1.04785i	−0.0778029	+	0.0556138i
$356$	−3.96166	+	12.1927i	−0.209968	+	0.646214i
$357$	−37.0915	−	6.71967i	−1.96309	−	0.355643i
$358$	1.54409	−	14.6911i	0.0816079	−	0.776447i
$359$	−18.0056	+	16.2123i	−0.950300	+	0.855654i	−0.989640	−	0.143572i	$-0.954141\pi$
$359$	−18.0056	+	16.2123i	−0.950300	+	0.855654i	0.0393402	+	0.999226i	$0.487474\pi$
$360$	1.73849	+	6.47902i	0.0916264	+	0.341474i
$361$	1.85256	+	17.6259i	0.0975032	+	0.927681i
$362$	−0.992694	+	4.67026i	−0.0521748	+	0.245463i
$363$	1.30482	+	2.11010i	0.0684855	+	0.110752i
$364$	−1.47101	+	2.02467i	−0.0771020	+	0.106122i
$365$	−26.2630	+	8.30959i	−1.37467	+	0.434944i
$366$	−2.66551	−	3.44487i	−0.139328	−	0.180066i
$367$	−11.1806	+	19.3654i	−0.583623	+	1.01086i	0.411423	+	0.911445i	$0.365032\pi$
$367$	−11.1806	+	19.3654i	−0.583623	+	1.01086i	−0.995046	+	0.0994197i	$0.968301\pi$
$368$	3.94420	+	5.42873i	0.205606	+	0.282992i
$369$	−8.26867	−	15.9092i	−0.430450	−	0.828199i
$370$	−12.3325	−	7.24776i	−0.641134	−	0.376793i
$371$	−14.6611			−0.761167
$372$	−5.80642	+	7.69971i	−0.301049	+	0.399211i
$373$		−	19.5490i		−	1.01221i	−0.862472	−	0.506104i	$-0.831085\pi$
$373$		−	19.5490i		−	1.01221i	0.862472	−	0.506104i	$-0.168915\pi$
$374$	18.9851	−	6.16863i	0.981696	−	0.318972i
$375$	−11.2718	+	15.7463i	−0.582074	+	0.813136i
$376$	−1.36180	+	0.989408i	−0.0702297	+	0.0510248i
$377$	3.03813	−	5.26220i	0.156472	−	0.271017i
$378$	14.0300	+	10.4980i	0.721625	+	0.539959i
$379$	15.5724	+	6.93330i	0.799903	+	0.356140i	0.765637	−	0.643273i	$-0.222424\pi$
$379$	15.5724	+	6.93330i	0.799903	+	0.356140i	0.0342659	+	0.999413i	$0.489091\pi$
$380$	2.51495	−	0.244704i	0.129014	−	0.0125530i
$381$	−12.7499	−	20.6186i	−0.653200	−	1.05633i
$382$	−0.769964	+	3.62239i	−0.0393948	+	0.185338i
$383$	−19.1118	+	2.00873i	−0.976566	+	0.102641i	−0.579346	−	0.815082i	$-0.696692\pi$
$383$	−19.1118	+	2.00873i	−0.976566	+	0.102641i	−0.397220	+	0.917723i	$0.630025\pi$
$384$	1.43138	+	0.975272i	0.0730447	+	0.0497691i
$385$	−2.61719	+	23.1770i	−0.133384	+	1.18121i
$386$	8.84386	+	0.929527i	0.450141	+	0.0473117i
$387$	−1.12619	+	25.4152i	−0.0572475	+	1.29193i
$388$	3.90705	+	1.26948i	0.198350	+	0.0644479i
$389$	1.43632	−	13.6657i	0.0728244	−	0.692878i	−0.895818	−	0.444420i	$-0.853410\pi$
$389$	1.43632	−	13.6657i	0.0728244	−	0.692878i	0.968643	−	0.248458i	$-0.0799236\pi$
$390$	−0.0646441	−	2.87350i	−0.00327338	−	0.145505i
$391$	28.9771	−	32.1824i	1.46544	−	1.62753i
$392$	−0.457016	−	4.34822i	−0.0230828	−	0.219618i
$393$	−7.24895	−	0.541057i	−0.365661	−	0.0272927i
$394$	−6.96515	−	15.6440i	−0.350899	−	0.788132i
$395$	−1.91822	−	19.7146i	−0.0965162	−	0.991951i
$396$	−9.17665	−	1.37755i	−0.461144	−	0.0692247i
$397$	−16.0295	+	9.25464i	−0.804498	+	0.464477i	−0.845042	−	0.534701i	$-0.820424\pi$
$397$	−16.0295	+	9.25464i	−0.804498	+	0.464477i	0.0405434	+	0.999178i	$0.487091\pi$
$398$	5.44126	+	3.14151i	0.272746	+	0.157470i
$399$	4.76941	−	4.56275i	0.238769	−	0.228423i
$400$	0.445749	+	4.98009i	0.0222875	+	0.249005i
$401$	−10.6534	−	32.7878i	−0.532006	−	1.63735i	−0.750031	−	0.661403i	$-0.769961\pi$
$401$	−10.6534	−	32.7878i	−0.532006	−	1.63735i	0.218025	−	0.975943i	$-0.430039\pi$
$402$	−5.67810	+	0.770878i	−0.283198	+	0.0384479i
$403$	3.19984	−	2.61422i	0.159395	−	0.130224i
$404$			14.1454i			0.703761i
$405$	−20.1239	+	0.169622i	−0.999964	+	0.00842857i
$406$	5.74066	+	27.0077i	0.284904	+	1.34037i
$407$	16.0084	−	11.6308i	0.793508	−	0.576517i
$408$	4.23590	−	10.3443i	0.209708	−	0.512121i
$409$	8.74086	−	5.04654i	0.432208	−	0.249535i	−0.268079	−	0.963397i	$-0.586389\pi$
$409$	8.74086	−	5.04654i	0.432208	−	0.249535i	0.700287	+	0.713862i	$0.253056\pi$
$410$	−4.03138	−	12.7414i	−0.199096	−	0.629254i
$411$	28.2219	+	15.1760i	1.39208	+	0.748577i
$412$	−4.05350	−	9.10430i	−0.199701	−	0.448537i
$413$	−45.3193	−	9.63292i	−2.23002	−	0.474005i
$414$	−18.7349	+	7.36581i	−0.920769	+	0.362010i
$415$	13.6456	+	0.105424i	0.669837	+	0.00517505i
$416$	−0.496577	−	0.551505i	−0.0243467	−	0.0270397i
$417$	0.0646604	+	2.13911i	0.00316643	+	0.104753i
$418$	−1.08013	+	3.32430i	−0.0528308	+	0.162597i
$419$	4.73713	+	1.53919i	0.231424	+	0.0751941i	0.422433	−	0.906394i	$-0.361176\pi$
$419$	4.73713	+	1.53919i	0.231424	+	0.0751941i	−0.191009	+	0.981588i	$0.561176\pi$
$420$	8.95542	+	9.50700i	0.436980	+	0.463894i
$421$	9.44732	+	10.4923i	0.460434	+	0.511364i	0.927993	−	0.372598i	$-0.121533\pi$
$421$	9.44732	+	10.4923i	0.460434	+	0.511364i	−0.467559	+	0.883962i	$0.654866\pi$
$422$	1.90200	−	2.11238i	0.0925878	−	0.102829i
$423$	−1.84772	−	4.69967i	−0.0898394	−	0.228506i
$424$	0.903907	−	4.25255i	0.0438976	−	0.206522i
$425$	30.8393	−	9.49606i	1.49592	−	0.460626i
$426$	−1.22929	−	0.661039i	−0.0595595	−	0.0320274i
$427$	−7.74726	−	3.44930i	−0.374916	−	0.166924i
$428$	−1.99719	−	3.45924i	−0.0965379	−	0.167209i
$429$	3.67939	+	1.50667i	0.177643	+	0.0727429i
$430$	−4.08559	+	18.5166i	−0.197025	+	0.892950i
$431$	2.90217	+	13.6537i	0.139793	+	0.657673i	0.991113	+	0.133026i	$0.0424694\pi$
$431$	2.90217	+	13.6537i	0.139793	+	0.657673i	−0.851320	+	0.524647i	$0.824197\pi$
$432$	−3.91001	+	3.42225i	−0.188120	+	0.164653i
$433$	−11.6556			−0.560133			−0.280067	−	0.959981i	$-0.590357\pi$
$433$	−11.6556			−0.560133			−0.280067	+	0.959981i	$0.590357\pi$
$434$	−2.85681	+	18.5574i	−0.137131	+	0.890782i
$435$	−24.0370	−	20.6833i	−1.15248	−	0.991687i
$436$	−3.06073	−	9.41994i	−0.146582	−	0.451134i
$437$	1.57656	+	7.41714i	0.0754171	+	0.354810i
$438$	−14.7499	−	15.4180i	−0.704779	−	0.736701i
$439$	−8.71795	+	15.0999i	−0.416085	+	0.720680i	−0.995542	−	0.0943227i	$-0.969931\pi$
$439$	−8.71795	+	15.0999i	−0.416085	+	0.720680i	0.579457	+	0.815003i	$0.303265\pi$
$440$	−6.56128	−	2.18807i	−0.312797	−	0.104312i
$441$	12.9712	+	1.94717i	0.617675	+	0.0927223i
$442$	−2.81513	+	3.87470i	−0.133902	+	0.184301i
$443$	−26.4471	+	11.7750i	−1.25654	+	0.559448i	−0.923549	−	0.383481i	$-0.874725\pi$
$443$	−26.4471	+	11.7750i	−1.25654	+	0.559448i	−0.332993	+	0.942929i	$0.608059\pi$
$444$	0.824728	−	11.0495i	0.0391399	−	0.524386i
$445$	−21.1548	−	19.3459i	−1.00283	−	0.917082i
$446$	−1.44387	+	1.60358i	−0.0683692	+	0.0759317i
$447$	−17.4061	−	14.7451i	−0.823281	−	0.697418i
$448$	3.35379	+	0.352498i	0.158452	+	0.0166539i
$449$	5.64429	−	17.3713i	0.266371	−	0.819804i	−0.725004	−	0.688745i	$-0.758162\pi$
$449$	5.64429	−	17.3713i	0.266371	−	0.819804i	0.991375	−	0.131059i	$-0.0418379\pi$
$450$	−14.7976	−	2.45570i	−0.697566	−	0.115763i
$451$	18.3852	+	1.93236i	0.865723	+	0.0909912i
$452$	−4.75892	−	5.28532i	−0.223841	−	0.248600i
$453$	4.22332	−	6.19845i	0.198429	−	0.291229i
$454$	−1.29012	−	12.2747i	−0.0605483	−	0.576078i
$455$	−2.76051	−	4.86780i	−0.129415	−	0.228206i
$456$	1.02940	+	1.66471i	0.0482063	+	0.0779571i
$457$	15.0762	+	10.9535i	0.705237	+	0.512384i	0.881633	−	0.471935i	$-0.156444\pi$
$457$	15.0762	+	10.9535i	0.705237	+	0.512384i	−0.176397	+	0.984319i	$0.556444\pi$
$458$	−11.3086	+	25.3995i	−0.528415	+	1.18684i
$459$	26.8497	+	20.0904i	1.25324	+	0.937741i
$460$	−14.7004	+	3.00616i	−0.685410	+	0.140163i
$461$	−14.6964	+	10.6775i	−0.684478	+	0.497303i	−0.874840	−	0.484411i	$-0.839034\pi$
$461$	−14.6964	+	10.6775i	−0.684478	+	0.497303i	0.190362	+	0.981714i	$0.439034\pi$
$462$	−17.0061	+	6.09960i	−0.791197	+	0.283779i
$463$	−10.0787	−	31.0189i	−0.468395	−	1.44157i	−0.854662	−	0.519185i	$-0.826235\pi$
$463$	−10.0787	−	31.0189i	−0.468395	−	1.44157i	0.386266	−	0.922387i	$-0.373765\pi$
$464$	−8.18768			−0.380104
$465$	−10.3016	−	18.9440i	−0.477727	−	0.878508i
$466$	−22.6960			−1.05137
$467$	−2.32902	−	7.16799i	−0.107774	−	0.331695i	0.882597	−	0.470130i	$-0.155793\pi$
$467$	−2.32902	−	7.16799i	−0.107774	−	0.331695i	−0.990372	+	0.138435i	$0.955793\pi$
$468$	1.97548	−	1.02674i	0.0913166	−	0.0474611i
$469$	−9.02585	+	6.55766i	−0.416775	+	0.302805i
$470$	−0.754099	−	3.68762i	−0.0347840	−	0.170097i
$471$	14.2314	+	18.3924i	0.655748	+	0.847479i
$472$	5.58818	−	12.5513i	0.257217	−	0.577719i
$473$	−21.2206	−	15.4177i	−0.975726	−	0.708907i
$474$	13.0496	−	8.06947i	0.599387	−	0.370643i
$475$	−1.82882	+	5.34601i	−0.0839118	+	0.245292i
$476$	−2.27489	−	21.6441i	−0.104269	−	0.992057i
$477$	11.6685	+	5.82719i	0.534266	+	0.266809i
$478$	−7.16451	−	7.95699i	−0.327697	−	0.363944i
$479$	9.34376	+	0.982069i	0.426927	+	0.0448719i	0.315556	−	0.948907i	$-0.397809\pi$
$479$	9.34376	+	0.982069i	0.426927	+	0.0448719i	0.111371	+	0.993779i	$0.464476\pi$
$480$	−3.30970	+	2.01144i	−0.151066	+	0.0918092i
$481$	−1.46706	+	4.51514i	−0.0668920	+	0.205872i
$482$	−4.71117	−	0.495164i	−0.214588	−	0.0225541i
$483$	−25.3341	+	29.9061i	−1.15274	+	1.36078i
$484$	−0.958446	+	1.06446i	−0.0435657	+	0.0483847i
$485$	−6.19920	+	6.77885i	−0.281491	+	0.307812i
$486$	−6.99373	−	13.9315i	−0.317242	−	0.631947i
$487$	−7.73010	+	3.44166i	−0.350284	+	0.155957i	−0.574334	−	0.818621i	$-0.694739\pi$
$487$	−7.73010	+	3.44166i	−0.350284	+	0.155957i	0.224050	+	0.974578i	$0.428072\pi$
$488$	1.47814	−	2.03448i	0.0669122	−	0.0920967i
$489$	−31.2697	−	9.12531i	−1.41407	−	0.412661i
$490$	9.27436	+	3.09284i	0.418973	+	0.139720i
$491$	7.88674	−	13.6602i	0.355923	−	0.616478i	−0.631352	−	0.775496i	$-0.717500\pi$
$491$	7.88674	−	13.6602i	0.355923	−	0.616478i	0.987276	+	0.159019i	$0.0508330\pi$
$492$	7.48002	−	7.15590i	0.337225	−	0.322613i
$493$	10.9861	+	51.6856i	0.494790	+	2.32780i
$494$	−0.259149	−	0.797578i	−0.0116597	−	0.0358848i
$495$	11.2949	−	17.4060i	0.507667	−	0.782341i
$496$	−5.20655	−	1.97276i	−0.233781	−	0.0885796i
$497$	−2.71751			−0.121897
$498$	4.58907	+	9.52202i	0.205641	+	0.426692i
$499$	−0.0761304	−	0.358166i	−0.00340807	−	0.0160337i	0.976411	−	0.215922i	$-0.0692755\pi$
$499$	−0.0761304	−	0.358166i	−0.00340807	−	0.0160337i	−0.979819	+	0.199888i	$0.935942\pi$
$500$	−10.5502	−	3.70041i	−0.471820	−	0.165487i
$501$	−15.9884	+	39.0446i	−0.714308	+	1.74438i
$502$	−10.3903	−	17.9964i	−0.463740	−	0.803221i
$503$	−11.4709	−	5.10716i	−0.511461	−	0.227717i	0.134745	−	0.990880i	$-0.456979\pi$
$503$	−11.4709	−	5.10716i	−0.511461	−	0.227717i	−0.646206	+	0.763163i	$0.723645\pi$
$504$	−3.54913	+	9.47382i	−0.158091	+	0.421997i
$505$	−28.7953	−	13.0880i	−1.28137	−	0.582408i
$506$	4.31540	−	20.3024i	0.191843	−	0.902551i
$507$	20.9465	−	5.11836i	0.930265	−	0.227314i
$508$	9.36536	−	10.4013i	0.415521	−	0.461482i
$509$	22.6733	+	25.1812i	1.00497	+	1.11614i	0.993225	+	0.116207i	$0.0370735\pi$
$509$	22.6733	+	25.1812i	1.00497	+	1.11614i	0.0117499	+	0.999931i	$0.496260\pi$
$510$	17.1383	+	18.1939i	0.758898	+	0.805640i
$511$	−39.5098	−	12.8375i	−1.74781	−	0.567898i
$512$	−0.309017	+	0.951057i	−0.0136568	+	0.0420312i
$513$	−5.60940	+	1.73578i	−0.247661	+	0.0766364i
$514$	12.6516	+	14.0510i	0.558039	+	0.619765i
$515$	22.2838	+	0.172161i	0.981940	+	0.00758630i
$516$	−14.2681	+	3.48647i	−0.628118	+	0.153483i
$517$	5.09288	+	1.08252i	0.223985	+	0.0476094i
$518$	−8.77453	−	19.7079i	−0.385531	−	0.865916i
$519$	−16.7092	+	31.0731i	−0.733451	+	1.36396i
$520$	1.58213	−	0.500586i	0.0693811	−	0.0219522i
$521$	14.4850	−	8.36295i	0.634601	−	0.366387i	−0.147931	−	0.988998i	$-0.547261\pi$
$521$	14.4850	−	8.36295i	0.634601	−	0.366387i	0.782532	+	0.622610i	$0.213928\pi$
$522$	6.16554	−	23.7767i	0.269858	−	1.04068i
$523$	7.19208	−	5.22536i	0.314488	−	0.228489i	−0.419332	−	0.907833i	$-0.637736\pi$
$523$	7.19208	−	5.22536i	0.314488	−	0.228489i	0.733820	+	0.679344i	$0.237736\pi$
$524$	−0.872569	−	4.10511i	−0.0381183	−	0.179333i
$525$	−27.6390	+	9.43390i	−1.20626	+	0.411729i
$526$			12.6548i			0.551775i
$527$	−5.46718	+	35.5140i	−0.238154	+	1.54701i
$528$	−0.720741	−	5.30880i	−0.0313662	−	0.231036i
$529$	−6.80697	−	20.9497i	−0.295955	−	0.910857i
$530$	7.82042	+	5.77470i	0.339697	+	0.250837i
$531$	32.2403	+	25.6793i	1.39911	+	1.11439i
$532$	3.30023	+	1.90539i	0.143083	+	0.0826090i
$533$	−3.84111	+	2.21767i	−0.166377	+	0.0960579i
$534$	6.22059	−	21.3161i	0.269191	−	0.922439i
$535$	8.88974	−	0.864966i	0.384337	−	0.0373957i
$536$	−1.34562	−	3.02231i	−0.0581219	−	0.130544i
$537$	−1.90441	+	25.5149i	−0.0821815	+	1.10105i
$538$	0.877782	+	8.35154i	0.0378439	+	0.360060i
$539$	−9.04920	+	10.0502i	−0.389776	+	0.432891i
$540$	−3.34884	−	11.1259i	−0.144111	−	0.478782i
$541$	0.953571	−	9.07262i	0.0409972	−	0.390062i	−0.954712	−	0.297530i	$-0.903837\pi$
$541$	0.953571	−	9.07262i	0.0409972	−	0.390062i	0.995710	−	0.0925323i	$-0.0294962\pi$
$542$	−19.6478	−	6.38395i	−0.843944	−	0.274214i
$543$	1.47421	−	8.13738i	0.0632643	−	0.349208i
$544$	6.41828	+	0.674588i	0.275181	+	0.0289227i
$545$	22.0077	+	2.48515i	0.942708	+	0.106452i
$546$	2.44075	−	3.58222i	0.104454	−	0.153305i
$547$	−23.5745	+	2.47778i	−1.00797	+	0.105942i	−0.594098	−	0.804393i	$-0.702491\pi$
$547$	−23.5745	+	2.47778i	−1.00797	+	0.105942i	−0.413873	+	0.910335i	$0.635824\pi$
$548$	−3.84644	+	18.0961i	−0.164312	+	0.773026i
$549$	4.79497	+	5.82447i	0.204644	+	0.248582i
$550$	10.5250	−	11.3321i	0.448787	−	0.483200i
$551$	−8.45245	−	3.76327i	−0.360086	−	0.160321i
$552$	−7.11254	−	9.19213i	−0.302730	−	0.391243i
$553$	14.9362	−	25.8703i	0.635154	−	1.10012i
$554$	−11.6318	+	8.45099i	−0.494187	+	0.359048i
$555$	21.7300	+	11.9024i	0.922387	+	0.505228i
$556$	−1.17511	+	0.381815i	−0.0498356	+	0.0161926i
$557$			8.33131i			0.353009i	0.984300	+	0.176505i	$0.0564790\pi$
$557$			8.33131i			0.353009i	−0.984300	+	0.176505i	$0.943521\pi$
$558$	9.64948	−	13.6341i	0.408495	−	0.577176i
$559$	6.29325			0.266176
$560$	−3.82065	+	6.50104i	−0.161452	+	0.274719i
$561$	−32.5453	+	11.6730i	−1.37406	+	0.492836i
$562$	13.0914	+	18.0188i	0.552228	+	0.760077i
$563$	−6.19252	+	10.7258i	−0.260984	+	0.452037i	−0.966504	−	0.256653i	$-0.917380\pi$
$563$	−6.19252	+	10.7258i	−0.260984	+	0.452037i	0.705520	+	0.708690i	$0.250714\pi$
$564$	2.30586	−	1.78419i	0.0970942	−	0.0751279i
$565$	15.1623	−	4.79734i	0.637882	−	0.201826i
$566$	−3.32193	+	4.57224i	−0.139631	+	0.192186i
$567$	−24.8389	−	17.4405i	−1.04314	−	0.732434i
$568$	0.167544	−	0.788231i	0.00702998	−	0.0330734i
$569$	2.54292	+	24.1943i	0.106605	+	1.01428i	0.908805	+	0.417221i	$0.136996\pi$
$569$	2.54292	+	24.1943i	0.106605	+	1.01428i	−0.802200	+	0.597055i	$0.796337\pi$
$570$	−4.34124	+	0.555258i	−0.181834	+	0.0232572i
$571$	−2.23930	+	2.01627i	−0.0937117	+	0.0843784i	−0.714655	−	0.699477i	$-0.753416\pi$
$571$	−2.23930	+	2.01627i	−0.0937117	+	0.0843784i	0.620943	+	0.783855i	$0.286750\pi$
$572$	−0.239945	+	2.28293i	−0.0100326	+	0.0954540i
$573$	1.14344	−	6.31160i	0.0477679	−	0.263671i
$574$	6.22809	−	19.1681i	0.259955	−	0.800061i
$575$	7.48196	−	32.7065i	0.312019	−	1.36396i
$576$	−2.52913	−	1.61354i	−0.105380	−	0.0672309i
$577$	16.8338	+	15.1572i	0.700798	+	0.631002i	0.940480	−	0.339850i	$-0.110376\pi$
$577$	16.8338	+	15.1572i	0.700798	+	0.631002i	−0.239681	+	0.970852i	$0.577043\pi$
$578$	−2.57656	−	24.5143i	−0.107171	−	1.01966i
$579$	−15.3597	−	1.14644i	−0.638326	−	0.0476442i
$580$	7.57562	−	16.6674i	0.314560	−	0.692075i
$581$	16.6495	+	12.0966i	0.690737	+	0.501850i
$582$	−6.83055	−	1.99333i	−0.283135	−	0.0826262i
$583$	−11.6460	+	6.72383i	−0.482329	+	0.278473i
$584$	6.15952	−	10.6686i	0.254883	−	0.441470i
$585$	0.262292	+	4.97140i	0.0108444	+	0.205542i
$586$	6.68478	−	1.42089i	0.276146	−	0.0586966i
$587$	−7.67145	+	2.49260i	−0.316635	+	0.102881i	−0.463023	−	0.886346i	$-0.653235\pi$
$587$	−7.67145	+	2.49260i	−0.316635	+	0.102881i	0.146388	+	0.989227i	$0.453235\pi$
$588$	1.01877	+	7.50398i	0.0420132	+	0.309459i
$589$	−4.46819	−	4.42962i	−0.184108	−	0.182519i
$590$	20.3797	+	22.9887i	0.839019	+	0.946428i
$591$	12.8772	+	26.7193i	0.529696	+	1.09909i
$592$	6.25739	−	1.33005i	0.257177	−	0.0546647i
$593$	28.9801	−	21.0553i	1.19007	−	0.864638i	0.196800	−	0.980444i	$-0.436945\pi$
$593$	28.9801	−	21.0553i	1.19007	−	0.864638i	0.993272	+	0.115806i	$0.0369450\pi$
$594$	15.9593	+	1.90467i	0.654817	+	0.0781496i
$595$	46.1650	+	15.3952i	1.89258	+	0.631143i
$596$	5.35694	−	12.0319i	0.219429	−	0.492845i
$597$	−9.58464	−	5.15402i	−0.392273	−	0.210940i
$598$	2.02549	+	4.54932i	0.0828284	+	0.186036i
$599$	3.54571	−	16.6812i	0.144874	−	0.681577i	−0.844425	−	0.535673i	$-0.820058\pi$
$599$	3.54571	−	16.6812i	0.144874	−	0.681577i	0.989299	−	0.145903i	$-0.0466088\pi$
$600$	−1.03233	−	8.59851i	−0.0421446	−	0.351033i
$601$	−21.5922	−	19.4417i	−0.880765	−	0.793044i	0.0986035	−	0.995127i	$-0.468562\pi$
$601$	−21.5922	−	19.4417i	−0.880765	−	0.793044i	−0.979369	+	0.202082i	$0.935229\pi$
$602$	−21.2517	+	19.1351i	−0.866155	+	0.779890i
$603$	9.78993	−	1.63174i	0.398677	−	0.0664495i
$604$	4.11846	+	1.33817i	0.167578	+	0.0544493i
$605$	−1.28009	−	2.93596i	−0.0520430	−	0.119364i
$606$	−0.740259	−	24.4894i	−0.0300710	−	0.994814i
$607$	35.1627	−	31.6607i	1.42721	−	1.28507i	0.526825	−	0.849974i	$-0.323382\pi$
$607$	35.1627	−	31.6607i	1.42721	−	1.28507i	0.900386	−	0.435093i	$-0.143284\pi$
$608$	−0.756140	+	0.839778i	−0.0306655	+	0.0340575i
$609$	−11.3519	−	46.4569i	−0.460004	−	1.88253i
$610$	2.77388	+	4.89139i	0.112311	+	0.198046i
$611$	−1.14120	+	0.508096i	−0.0461681	+	0.0205554i
$612$	−6.79211	+	18.1304i	−0.274555	+	0.732878i
$613$	−31.9891	−	14.2425i	−1.29203	−	0.575249i	−0.358427	−	0.933558i	$-0.616687\pi$
$613$	−31.9891	−	14.2425i	−1.29203	−	0.575249i	−0.933603	+	0.358309i	$0.883353\pi$
$614$	14.3202	−	8.26778i	0.577917	−	0.333660i
$615$	7.64616	+	21.8478i	0.308323	+	0.880986i
$616$	−6.13116	−	8.43881i	−0.247031	−	0.340009i
$617$	3.60161	−	0.765546i	0.144995	−	0.0308197i	−0.134842	−	0.990867i	$-0.543053\pi$
$617$	3.60161	−	0.765546i	0.144995	−	0.0308197i	0.279838	+	0.960047i	$0.409719\pi$
$618$	7.49411	+	15.5498i	0.301457	+	0.625504i
$619$		−	25.5427i		−	1.02665i	−0.858195	−	0.513325i	$-0.828414\pi$
$619$		−	25.5427i		−	1.02665i	0.858195	−	0.513325i	$-0.171586\pi$
$620$	8.83321	−	8.77350i	0.354750	−	0.352352i
$621$	32.0495	−	13.7326i	1.28610	−	0.551069i
$622$	−21.7977	+	7.08251i	−0.874009	+	0.283983i
$623$	−8.98867	−	42.2884i	−0.360123	−	1.69425i
$624$	0.888565	+	0.928811i	0.0355711	+	0.0371822i
$625$	17.2943	−	18.0529i	0.691773	−	0.722115i
$626$	−4.06120	−	7.03421i	−0.162318	−	0.281144i
$627$	1.69602	−	5.81175i	0.0677324	−	0.232099i
$628$	−7.89191	+	10.8623i	−0.314922	+	0.433453i
$629$	−16.7921	−	37.7158i	−0.669547	−	1.50383i
$630$	−16.0017	−	15.9904i	−0.637522	−	0.637074i
$631$	−19.9175	+	2.09342i	−0.792904	+	0.0833376i	−0.492316	−	0.870417i	$-0.663850\pi$
$631$	−19.9175	+	2.09342i	−0.792904	+	0.0833376i	−0.300588	+	0.953754i	$0.597183\pi$
$632$	6.58299	+	5.92735i	0.261857	+	0.235777i
$633$	−3.18231	+	3.75662i	−0.126485	+	0.149312i
$634$	2.36243	−	22.4770i	0.0938239	−	0.892675i
$635$	12.5083	+	28.6884i	0.496375	+	1.13847i
$636$	−1.34235	+	7.40957i	−0.0532278	+	0.293809i
$637$	0.339162	−	3.22691i	0.0134381	−	0.127855i
$638$	16.9463	+	18.8207i	0.670909	+	0.745120i
$639$	2.16282	+	1.08010i	0.0855599	+	0.0427280i
$640$	−1.65011	−	1.50901i	−0.0652265	−	0.0596490i
$641$	23.4908	+	4.99311i	0.927829	+	0.197216i	0.646955	−	0.762528i	$-0.276042\pi$
$641$	23.4908	+	4.99311i	0.927829	+	0.197216i	0.280874	+	0.959745i	$0.409376\pi$
$642$	3.63869	+	5.88432i	0.143608	+	0.232236i
$643$	−14.1195	−	10.2584i	−0.556818	−	0.404552i	0.273475	−	0.961879i	$-0.411827\pi$
$643$	−14.1195	−	10.2584i	−0.556818	−	0.404552i	−0.830293	+	0.557327i	$0.811827\pi$
$644$	−20.6725	−	9.20398i	−0.814609	−	0.362687i
$645$	6.10421	−	32.2709i	0.240353	−	1.27066i
$646$	6.31577	+	3.64641i	0.248491	+	0.143466i
$647$	11.7354	+	16.1523i	0.461365	+	0.635014i	0.974791	−	0.223120i	$-0.0716241\pi$
$647$	11.7354	+	16.1523i	0.461365	+	0.635014i	−0.513426	+	0.858134i	$0.671624\pi$
$648$	6.59015	−	6.12943i	0.258886	−	0.240787i
$649$	−40.4172	+	13.1323i	−1.58651	+	0.515489i
$650$	−0.444836	+	3.68385i	−0.0174479	+	0.144493i
$651$	3.97473	−	32.2771i	0.155782	−	1.26504i
$652$		−	18.8066i		−	0.736524i
$653$	−3.40971	−	10.4940i	−0.133432	−	0.410662i	0.861911	−	0.507060i	$-0.169268\pi$
$653$	−3.40971	−	10.4940i	−0.133432	−	0.410662i	−0.995343	+	0.0963982i	$0.969268\pi$
$654$	5.79188	+	16.1482i	0.226480	+	0.631445i
$655$	9.16397	+	2.02198i	0.358066	+	0.0790053i
$656$	5.17585	+	2.98828i	0.202083	+	0.116673i
$657$	26.3428	+	25.9207i	1.02773	+	1.01126i
$658$	2.30883	−	5.18572i	0.0900075	−	0.202160i
$659$	−14.3782	+	19.7898i	−0.560094	+	0.770903i	−0.991338	−	0.131332i	$-0.958075\pi$
$659$	−14.3782	+	19.7898i	−0.560094	+	0.770903i	0.431245	+	0.902235i	$0.358075\pi$
$660$	11.4738	+	3.44476i	0.446617	+	0.134087i
$661$	−14.2951	−	3.03852i	−0.556016	−	0.118185i	−0.0786708	−	0.996901i	$-0.525068\pi$
$661$	−14.2951	−	3.03852i	−0.556016	−	0.118185i	−0.477345	+	0.878716i	$0.658401\pi$
$662$	6.52455	−	0.685758i	0.253584	−	0.0266527i
$663$	4.67095	−	6.85543i	0.181405	−	0.266243i
$664$	−4.53518	+	4.08350i	−0.175999	+	0.158470i
$665$	−6.93224	+	4.95520i	−0.268821	+	0.192154i
$666$	−0.849576	+	19.1727i	−0.0329204	+	0.742928i
$667$	52.2526	+	16.9779i	2.02323	+	0.657387i
$668$	−24.2257	−	2.54623i	−0.937322	−	0.0985165i
$669$	2.41579	−	2.85177i	0.0934000	−	0.110256i
$670$	7.39743	+	0.0571513i	0.285788	+	0.00220795i
$671$	−7.73594	+	0.813080i	−0.298643	+	0.0313886i
$672$	−5.82473	−	0.434754i	−0.224694	−	0.0167710i
$673$	−30.2353	+	13.4616i	−1.16548	+	0.518907i	−0.895981	−	0.444093i	$-0.853526\pi$
$673$	−30.2353	+	13.4616i	−1.16548	+	0.518907i	−0.269503	+	0.963000i	$0.586859\pi$
$674$	−20.1510	−	14.6405i	−0.776186	−	0.563932i
$675$	25.7470	+	3.47707i	0.991004	+	0.133833i
$676$	6.22463	+	10.7814i	0.239409	+	0.414668i
$677$	12.4681	+	7.19848i	0.479190	+	0.276660i	0.720079	−	0.693892i	$-0.244106\pi$
$677$	12.4681	+	7.19848i	0.479190	+	0.276660i	−0.240889	+	0.970553i	$0.577439\pi$
$678$	8.51552	+	8.90122i	0.327037	+	0.341849i
$679$	−13.5509	+	2.88033i	−0.520036	+	0.110537i
$680$	−7.31172	+	12.4413i	−0.280391	+	0.477102i
$681$	2.87589	+	21.1831i	0.110204	+	0.811739i
$682$	6.24143	+	16.0512i	0.238997	+	0.614632i
$683$	−29.0232			−1.11054			−0.555271	−	0.831669i	$-0.687386\pi$
$683$	−29.0232			−1.11054			−0.555271	+	0.831669i	$0.687386\pi$
$684$	−1.86929	−	2.82817i	−0.0714739	−	0.108138i
$685$	−33.2786	−	24.5733i	−1.27151	−	0.938899i
$686$	−5.20880	−	7.16930i	−0.198873	−	0.273725i
$687$	18.2489	−	44.5649i	0.696238	−	1.70026i
$688$	−4.24003	−	7.34395i	−0.161650	−	0.279985i
$689$	1.31230	−	2.94748i	0.0499948	−	0.112290i
$690$	25.2929	−	5.97375i	0.962885	−	0.227417i
$691$	31.3857	−	13.9738i	1.19397	−	0.531589i	0.289108	−	0.957297i	$-0.406641\pi$
$691$	31.3857	−	13.9738i	1.19397	−	0.531589i	0.904861	+	0.425708i	$0.139975\pi$
$692$	−19.9242	−	4.23503i	−0.757406	−	0.160992i
$693$	29.1229	−	11.4500i	1.10629	−	0.434948i
$694$	−18.5227	−	16.6780i	−0.703114	−	0.633087i
$695$	0.310014	−	2.74539i	0.0117595	−	0.104139i
$696$	14.1750	−	0.428478i	0.537302	−	0.0162414i
$697$	11.9189	−	36.6827i	0.451462	−	1.38946i
$698$	6.38472	−	19.6501i	0.241665	−	0.743769i
$699$	39.2927	−	1.18773i	1.48619	−	0.0449240i
$700$	−9.69889	−	13.7926i	−0.366584	−	0.521311i
$701$	36.8516	+	33.1813i	1.39186	+	1.25324i	0.930630	+	0.365961i	$0.119260\pi$
$701$	36.8516	+	33.1813i	1.39186	+	1.25324i	0.461234	+	0.887279i	$0.347407\pi$
$702$	−3.36634	+	1.88093i	−0.127054	+	0.0709913i
$703$	7.07106	+	1.50300i	0.266690	+	0.0566867i
$704$	2.82574	−	1.25810i	0.106499	−	0.0474164i
$705$	1.49852	+	6.34476i	0.0564376	+	0.238958i
$706$	−10.7189	+	24.0751i	−0.403412	+	0.906079i
$707$	−23.8511	−	41.3112i	−0.897011	−	1.55367i
$708$	−9.01777	+	22.0220i	−0.338908	+	0.827636i
$709$	8.90243	+	12.2531i	0.334338	+	0.460176i	0.942777	−	0.333424i	$-0.108204\pi$
$709$	8.90243	+	12.2531i	0.334338	+	0.460176i	−0.608439	+	0.793600i	$0.708204\pi$
$710$	1.44955	+	1.07037i	0.0544008	+	0.0401703i
$711$	−22.1699	+	14.6533i	−0.831437	+	0.549540i
$712$	12.8202			0.480457
$713$	29.1368	+	23.3861i	1.09118	+	0.875817i
$714$	5.07111	+	37.3526i	0.189781	+	1.39789i
$715$	−4.42526	−	2.60072i	−0.165495	−	0.0972613i
$716$	−14.4492	+	3.07127i	−0.539992	+	0.114779i
$717$	12.8200	+	13.4007i	0.478773	+	0.500458i
$718$	20.9829	+	12.1145i	0.783074	+	0.452108i
$719$	−18.6746	−	32.3453i	−0.696445	−	1.20628i	−0.969691	−	0.244334i	$-0.921431\pi$
$719$	−18.6746	−	32.3453i	−0.696445	−	1.20628i	0.273246	−	0.961944i	$-0.411903\pi$
$720$	5.62469	−	3.65553i	0.209620	−	0.136233i
$721$	27.1892	+	19.7541i	1.01258	+	0.735681i
$722$	16.1908	−	7.20860i	0.602559	−	0.268276i
$723$	8.18217	+	0.610712i	0.304298	+	0.0227126i
$724$	4.74844	−	0.499081i	0.176474	−	0.0185482i
$725$	26.9198	+	30.8428i	0.999777	+	1.14547i
$726$	1.60361	−	1.89302i	0.0595157	−	0.0702565i
$727$	7.99585	+	0.840397i	0.296550	+	0.0311686i	0.251635	−	0.967822i	$-0.419032\pi$
$727$	7.99585	+	0.840397i	0.296550	+	0.0311686i	0.0449146	+	0.998991i	$0.485698\pi$
$728$	2.38015	+	0.773357i	0.0882141	+	0.0286625i
$729$	12.8370	+	23.7531i	0.475446	+	0.879745i
$730$	16.0186	+	22.4098i	0.592875	+	0.829422i
$731$	−40.6702	+	36.6196i	−1.50424	+	1.35443i
$732$	−2.45257	+	3.59957i	−0.0906497	+	0.133044i
$733$	42.4975	−	4.46667i	1.56968	−	0.164980i	0.720641	−	0.693309i	$-0.243848\pi$
$733$	42.4975	−	4.46667i	1.56968	−	0.164980i	0.849040	+	0.528329i	$0.177181\pi$
$734$	21.8726	+	4.64916i	0.807331	+	0.171603i
$735$	−16.2182	−	4.86916i	−0.598217	−	0.179602i
$736$	3.94420	−	5.42873i	0.145385	−	0.200106i
$737$	−4.16221	+	9.34848i	−0.153317	+	0.344356i
$738$	−12.5754	+	12.7802i	−0.462906	+	0.470445i
$739$	−4.53386	−	2.61763i	−0.166781	−	0.0962910i	0.414286	−	0.910147i	$-0.364031\pi$
$739$	−4.53386	−	2.61763i	−0.166781	−	0.0962910i	−0.581067	+	0.813856i	$0.697365\pi$
$740$	−3.08209	+	13.9686i	−0.113300	+	0.513494i
$741$	0.490393	+	1.36725i	0.0180150	+	0.0502273i
$742$	4.53053	+	13.9435i	0.166321	+	0.511883i
$743$			34.9057i			1.28057i	0.768138	+	0.640284i	$0.221183\pi$
$743$			34.9057i			1.28057i	−0.768138	+	0.640284i	$0.778817\pi$
$744$	9.11714	+	3.14289i	0.334251	+	0.115224i
$745$	19.5364	+	22.0374i	0.715758	+	0.807387i
$746$	−18.5922	+	6.04097i	−0.680709	+	0.221176i
$747$	−8.44318	−	16.2449i	−0.308920	−	0.594371i
$748$	−11.7334	−	16.1497i	−0.429017	−	0.590491i
$749$	11.6655	+	6.73506i	0.426247	+	0.246094i
$750$	18.4588	+	5.85426i	0.674020	+	0.213767i
$751$	−46.1017	−	20.5258i	−1.68228	−	0.748998i	−0.999837	−	0.0180550i	$-0.994253\pi$
$751$	−46.1017	−	20.5258i	−1.68228	−	0.748998i	−0.682439	−	0.730943i	$-0.739081\pi$
$752$	1.36180	+	0.989408i	0.0496599	+	0.0360800i
$753$	18.9300	+	30.6128i	0.689848	+	1.11559i
$754$	−5.94349	−	1.26333i	−0.216449	−	0.0460077i
$755$	−6.53465	+	7.14566i	−0.237820	+	0.260057i
$756$	5.64868	−	16.5874i	0.205441	−	0.603277i
$757$	−21.6146	−	24.0054i	−0.785595	−	0.872492i	0.208828	−	0.977952i	$-0.433035\pi$
$757$	−21.6146	−	24.0054i	−0.785595	−	0.872492i	−0.994424	+	0.105460i	$0.966368\pi$
$758$	1.78181	−	16.9528i	0.0647182	−	0.615753i
$759$	−6.40862	+	35.3745i	−0.232618	+	1.28401i
$760$	−1.00989	−	2.31625i	−0.0366326	−	0.0840191i
$761$	−0.518048	+	4.92889i	−0.0187792	+	0.178672i	−0.999891	−	0.0147697i	$-0.995298\pi$
$761$	−0.518048	+	4.92889i	−0.0187792	+	0.178672i	0.981112	+	0.193442i	$0.0619651\pi$
$762$	−15.6695	+	18.4974i	−0.567648	+	0.670091i
$763$	24.8220	+	22.3498i	0.898618	+	0.809119i
$764$	3.68303	−	0.387102i	0.133247	−	0.0140049i
$765$	−30.6230	−	30.6015i	−1.10718	−	1.10640i
$766$	7.81628	+	17.5556i	0.282414	+	0.634311i
$767$	5.99311	−	8.24880i	0.216399	−	0.297847i
$768$	0.485218	−	1.66270i	0.0175088	−	0.0599974i
$769$	−7.67128	−	13.2870i	−0.276633	−	0.479143i	0.693912	−	0.720059i	$-0.255885\pi$
$769$	−7.67128	−	13.2870i	−0.276633	−	0.479143i	−0.970546	+	0.240916i	$0.922552\pi$
$770$	22.8514	−	4.67299i	0.823507	−	0.168403i
$771$	−22.6385	−	23.6639i	−0.815307	−	0.852235i
$772$	−1.84887	−	8.69825i	−0.0665423	−	0.313057i
$773$	−27.8505	+	9.04917i	−1.00171	+	0.325476i	−0.763550	−	0.645749i	$-0.776545\pi$
$773$	−27.8505	+	9.04917i	−1.00171	+	0.325476i	−0.238163	+	0.971225i	$0.576545\pi$
$774$	24.5193	−	6.78267i	0.881329	−	0.243798i
$775$	9.68700	+	26.0991i	0.347967	+	0.937507i
$776$		−	4.10811i		−	0.147473i
$777$	16.2223	+	33.6603i	0.581973	+	1.20756i
$778$	−13.4407	+	2.85691i	−0.481872	+	0.102425i
$779$	3.96973	+	5.46386i	0.142230	+	0.195763i
$780$	−2.71289	+	0.949441i	−0.0971369	+	0.0339955i
$781$	−2.15865	+	1.24630i	−0.0772425	+	0.0445960i
$782$	−39.5617	−	17.6140i	−1.41472	−	0.629875i
$783$	−9.42987	+	41.4862i	−0.336996	+	1.48260i
$784$	−3.99418	+	1.77832i	−0.142649	+	0.0635115i
$785$	−14.8100	−	26.1156i	−0.528591	−	0.932104i
$786$	1.72547	+	7.06136i	0.0615456	+	0.251870i
$787$	−1.52866	+	1.69775i	−0.0544907	+	0.0605181i	−0.769774	−	0.638317i	$-0.779631\pi$
$787$	−1.52866	+	1.69775i	−0.0544907	+	0.0605181i	0.715283	+	0.698835i	$0.246298\pi$
$788$	−12.7260	+	11.4585i	−0.453344	+	0.408192i
$789$	−0.662251	−	21.9087i	−0.0235768	−	0.779971i
$790$	−18.1570	+	7.91649i	−0.645996	+	0.281656i
$791$	22.8100	+	7.41143i	0.811031	+	0.263520i
$792$	1.52561	+	9.15320i	0.0542102	+	0.325245i
$793$	1.38690	−	1.24877i	0.0492503	−	0.0443452i
$794$	13.7551	+	12.3851i	0.488150	+	0.439532i
$795$	−13.8414	−	9.58825i	−0.490903	−	0.340060i
$796$	1.30631	−	6.14573i	0.0463011	−	0.217830i
$797$	−12.9079	−	28.9917i	−0.457222	−	1.02694i	−0.984200	−	0.177059i	$-0.943342\pi$
$797$	−12.9079	−	28.9917i	−0.457222	−	1.02694i	0.526978	−	0.849879i	$-0.323325\pi$
$798$	−5.81326	−	3.12601i	−0.205787	−	0.110660i
$799$	4.41850	−	9.92410i	0.156315	−	0.351090i
$800$	4.59860	−	1.96287i	0.162585	−	0.0693978i
$801$	−9.65395	+	37.2293i	−0.341105	+	1.31543i
$802$	−27.8910	+	20.2640i	−0.984865	+	0.715546i
$803$	−37.2720	+	7.92241i	−1.31530	+	0.279576i
$804$	2.48778	+	5.16198i	0.0877372	+	0.182049i
$805$	37.8633	−	33.5662i	1.33451	−	1.18305i
$806$	−3.47508	−	2.23539i	−0.122404	−	0.0787382i
$807$	−1.95672	−	14.4127i	−0.0688799	−	0.507353i
$808$	13.4531	−	4.37118i	0.473278	−	0.153777i
$809$	31.7247	−	6.74329i	1.11538	−	0.237081i	0.386882	−	0.922129i	$-0.373552\pi$
$809$	31.7247	−	6.74329i	1.11538	−	0.237081i	0.728498	+	0.685048i	$0.240219\pi$
$810$	6.37995	+	19.0865i	0.224168	+	0.670633i
$811$	−7.67029	+	13.2853i	−0.269340	+	0.466511i	−0.968692	−	0.248267i	$-0.920139\pi$
$811$	−7.67029	+	13.2853i	−0.269340	+	0.466511i	0.699351	+	0.714778i	$0.253472\pi$
$812$	23.9119	−	13.8055i	0.839142	−	0.484479i
$813$	34.3495	+	10.0241i	1.20469	+	0.351559i
$814$	−16.0084	−	11.6308i	−0.561095	−	0.407659i
$815$	38.2839	+	17.4007i	1.34103	+	0.609521i
$816$	−11.1470	−	0.832006i	−0.390224	−	0.0291260i
$817$	−1.00167	−	9.53026i	−0.0350440	−	0.333421i
$818$	−7.50062	−	6.75358i	−0.262253	−	0.236134i
$819$	−4.03811	+	6.32948i	−0.141103	+	0.221170i
$820$	−10.8721	+	7.77139i	−0.379668	+	0.271389i
$821$	12.7571	−	39.2624i	0.445226	−	1.37027i	−0.437009	−	0.899457i	$-0.643962\pi$
$821$	12.7571	−	39.2624i	0.445226	−	1.37027i	0.882235	−	0.470809i	$-0.156038\pi$
$822$	5.71218	−	31.5303i	0.199235	−	1.09974i
$823$	3.06247	−	29.1374i	0.106751	−	1.01567i	−0.801715	−	0.597707i	$-0.796079\pi$
$823$	3.06247	−	29.1374i	0.106751	−	1.01567i	0.908466	−	0.417960i	$-0.137255\pi$
$824$	−7.40611	+	6.66849i	−0.258004	+	0.232308i
$825$	−17.6284	+	20.1695i	−0.613744	+	0.702213i
$826$	4.84299	+	46.0780i	0.168509	+	1.60326i
$827$	7.75162	−	36.4685i	0.269550	−	1.26813i	−0.610028	−	0.792380i	$-0.708842\pi$
$827$	7.75162	−	36.4685i	0.269550	−	1.26813i	0.879578	−	0.475754i	$-0.157825\pi$
$828$	12.7947	+	15.5418i	0.444646	+	0.540113i
$829$	21.3072	−	29.3268i	0.740028	−	1.01856i	−0.258589	−	0.965987i	$-0.583258\pi$
$829$	21.3072	−	29.3268i	0.740028	−	1.01856i	0.998617	−	0.0525738i	$-0.0167425\pi$
$830$	−4.11647	−	13.0103i	−0.142885	−	0.451595i
$831$	19.6954	−	15.2396i	0.683225	−	0.528655i
$832$	−0.371061	+	0.642697i	−0.0128642	+	0.0222815i
$833$	16.5852	+	22.8275i	0.574642	+	0.790927i
$834$	2.01443	−	0.722517i	0.0697541	−	0.0250187i
$835$	27.5980	−	46.9595i	0.955069	−	1.62510i
$836$	3.49537			0.120890
$837$	−15.9923	+	24.1091i	−0.552773	+	0.833332i
$838$		−	4.98091i		−	0.172063i
$839$	−5.46322	+	1.77511i	−0.188611	+	0.0612835i	−0.401800	−	0.915728i	$-0.631615\pi$
$839$	−5.46322	+	1.77511i	−0.188611	+	0.0612835i	0.213188	+	0.977011i	$0.431615\pi$
$840$	6.27432	−	11.4549i	0.216485	−	0.395233i
$841$	−30.7735	+	22.3583i	−1.06116	+	0.770975i
$842$	7.05940	−	12.2272i	0.243283	−	0.421378i
$843$	−23.6076	−	30.5101i	−0.813089	−	1.05082i
$844$	−2.59675	−	1.15615i	−0.0893837	−	0.0397962i
$845$	−27.7065	+	2.69583i	−0.953134	+	0.0927393i
$846$	−3.89867	+	3.20957i	−0.134039	+	0.110347i
$847$	1.00429	−	4.72480i	0.0345077	−	0.162346i
$848$	−4.32374	+	0.454443i	−0.148478	+	0.0156056i
$849$	5.51185	−	8.08959i	0.189166	−	0.277634i
$850$	−18.5611	−	26.3954i	−0.636642	−	0.905356i
$851$	−42.6917	−	4.48708i	−1.46345	−	0.153815i
$852$	−0.248812	+	1.37340i	−0.00852416	+	0.0470519i
$853$	9.06355	+	2.94493i	0.310330	+	0.100832i	0.460042	−	0.887897i	$-0.347834\pi$
$853$	9.06355	+	2.94493i	0.310330	+	0.100832i	−0.149712	+	0.988730i	$0.547834\pi$
$854$	−0.886447	+	8.43398i	−0.0303336	+	0.288605i
$855$	7.48675	−	1.18848i	0.256041	−	0.0406452i
$856$	−2.67277	+	2.96841i	−0.0913532	+	0.101458i
$857$	−2.89495	−	27.5436i	−0.0988896	−	0.940872i	−0.925666	−	0.378341i	$-0.876495\pi$
$857$	−2.89495	−	27.5436i	−0.0988896	−	0.940872i	0.826777	−	0.562530i	$-0.190172\pi$
$858$	0.295938	−	3.96490i	0.0101031	−	0.135359i
$859$	20.3660	+	45.7428i	0.694879	+	1.56072i	0.822414	+	0.568890i	$0.192627\pi$
$859$	20.3660	+	45.7428i	0.694879	+	1.56072i	−0.127534	+	0.991834i	$0.540706\pi$
$860$	18.8729	−	1.83632i	0.643559	−	0.0626179i
$861$	−9.77934	+	33.5109i	−0.333279	+	1.14205i
$862$	12.0886	−	6.97934i	0.411738	−	0.237717i
$863$	35.5036	+	20.4980i	1.20856	+	0.697761i	0.962444	−	0.271481i	$-0.0875133\pi$
$863$	35.5036	+	20.4980i	1.20856	+	0.697761i	0.246113	+	0.969241i	$0.420847\pi$
$864$	4.46302	+	2.66111i	0.151835	+	0.0905327i
$865$	27.0559	−	36.6406i	0.919927	−	1.24582i
$866$	3.60178	+	11.0852i	0.122394	+	0.376689i
$867$	5.74358	+	42.3059i	0.195062	+	1.43678i
$868$	18.5319	−	3.01756i	0.629014	−	0.102423i
$869$		−	27.4001i		−	0.929484i
$870$	−12.2431	+	29.2520i	−0.415081	+	0.991735i
$871$	−0.510462	−	2.40153i	−0.0172963	−	0.0813729i
$872$	−8.01308	+	5.82185i	−0.271357	+	0.197153i
$873$	11.9298	+	3.09352i	0.403762	+	0.104700i
$874$	6.56693	−	3.79142i	0.222130	−	0.128247i
$875$	37.0509	−	6.98213i	1.25255	−	0.236039i
$876$	−10.1054	+	18.7925i	−0.341430	+	0.634938i
$877$	−13.8540	−	31.1167i	−0.467817	−	1.05073i	−0.981274	−	0.192619i	$-0.938302\pi$
$877$	−13.8540	−	31.1167i	−0.467817	−	1.05073i	0.513456	−	0.858116i	$-0.328365\pi$
$878$	17.0549	+	3.62513i	0.575574	+	0.122342i
$879$	−11.4987	+	2.80977i	−0.387843	+	0.0947710i
$880$	−0.0534342	+	6.91630i	−0.00180127	+	0.233149i
$881$	−14.8039	−	16.4414i	−0.498756	−	0.553925i	0.440227	−	0.897886i	$-0.354898\pi$
$881$	−14.8039	−	16.4414i	−0.498756	−	0.553925i	−0.938984	+	0.343961i	$0.888231\pi$
$882$	−2.15645	−	12.9380i	−0.0726113	−	0.435646i
$883$	3.81210	−	11.7324i	0.128288	−	0.394828i	−0.866198	−	0.499701i	$-0.833443\pi$
$883$	3.81210	−	11.7324i	0.128288	−	0.394828i	0.994486	+	0.104872i	$0.0334434\pi$
$884$	4.55498	+	1.48000i	0.153201	+	0.0497779i
$885$	−36.4856	−	38.7328i	−1.22645	−	1.30199i
$886$	19.3713	+	21.5140i	0.650793	+	0.722779i
$887$	−21.3405	+	23.7011i	−0.716545	+	0.795804i	−0.985917	−	0.167232i	$-0.946517\pi$
$887$	−21.3405	+	23.7011i	−0.716545	+	0.795804i	0.269373	+	0.963036i	$0.413184\pi$
$888$	−10.7636	+	2.63012i	−0.361202	+	0.0882611i
$889$	−9.81328	+	46.1678i	−0.329127	+	1.54842i
$890$	−11.8618	+	26.0976i	−0.397609	+	0.874793i
$891$	−27.7293	−	2.46230i	−0.928967	−	0.0824901i
$892$	1.97127	+	0.877668i	0.0660031	+	0.0293865i
$893$	0.951083	+	1.64732i	0.0318268	+	0.0551256i
$894$	−8.64461	+	21.1107i	−0.289119	+	0.706047i
$895$	7.11697	−	32.2553i	0.237894	−	1.07818i
$896$	−0.701133	−	3.29857i	−0.0234232	−	0.110198i
$897$	−3.74472	−	7.77006i	−0.125033	−	0.259435i
$898$	−18.2653			−0.609521
$899$	−43.9822	+	11.9895i	−1.46689	+	0.399874i
$900$	2.23720	+	14.8322i	0.0745734	+	0.494408i
$901$	8.67025	+	26.6843i	0.288848	+	0.888982i
$902$	−3.84354	−	18.0824i	−0.127976	−	0.602080i
$903$	35.7909	−	34.2400i	1.19105	−	1.13944i
$904$	−3.55605	+	6.15926i	−0.118272	+	0.204854i
$905$	−3.37751	+	10.1280i	−0.112272	+	0.336666i
$906$	−7.20016	−	2.10119i	−0.239209	−	0.0698074i
$907$	−17.4894	+	24.0721i	−0.580727	+	0.799303i	−0.993775	−	0.111407i	$-0.964464\pi$
$907$	−17.4894	+	24.0721i	−0.580727	+	0.799303i	0.413048	+	0.910709i	$0.364464\pi$
$908$	−11.2752	+	5.02005i	−0.374182	+	0.166596i
$909$	2.56316	+	42.3588i	0.0850147	+	1.40495i
$910$	−3.77651	+	4.12963i	−0.125190	+	0.136896i
$911$	1.73056	−	1.92198i	0.0573359	−	0.0636780i	−0.713794	−	0.700355i	$-0.753025\pi$
$911$	1.73056	−	1.92198i	0.0573359	−	0.0636780i	0.771130	+	0.636677i	$0.219692\pi$
$912$	1.26513	−	1.49345i	0.0418926	−	0.0494529i
$913$	18.7732	+	1.97314i	0.621301	+	0.0653014i
$914$	5.75861	−	17.7232i	0.190478	−	0.586231i
$915$	−5.05828	−	8.32310i	−0.167222	−	0.275153i
$916$	27.6509	+	2.90622i	0.913610	+	0.0960243i
$917$	9.47007	+	10.5176i	0.312729	+	0.347321i
$918$	10.8101	−	31.7439i	0.356786	−	1.04770i
$919$	0.251072	+	2.38879i	0.00828209	+	0.0787988i	0.997882	−	0.0650470i	$-0.0207197\pi$
$919$	0.251072	+	2.38879i	0.00828209	+	0.0787988i	−0.989600	+	0.143846i	$0.954053\pi$
$920$	7.40171	+	13.0520i	0.244027	+	0.430311i
$921$	−24.3593	+	15.0631i	−0.802667	+	0.496345i
$922$	14.6964	+	10.6775i	0.483999	+	0.351646i
$923$	0.243242	−	0.546330i	0.00800640	−	0.0179827i
$924$	11.0562	+	14.2889i	0.363724	+	0.470071i
$925$	−25.5836	−	19.1984i	−0.841183	−	0.631240i
$926$	−26.3863	+	19.1708i	−0.867107	+	0.629990i
$927$	−13.7880	−	26.5285i	−0.452857	−	0.871312i
$928$	2.53013	+	7.78695i	0.0830557	+	0.255619i
$929$	37.3205			1.22445			0.612223	−	0.790685i	$-0.290275\pi$
$929$	37.3205			1.22445			0.612223	+	0.790685i	$0.290275\pi$
$930$	−14.8335	+	15.6515i	−0.486408	+	0.513232i
$931$	−4.94070			−0.161925
$932$	7.01345	+	21.5852i	0.229733	+	0.707046i
$933$	37.3669	−	13.4024i	1.22334	−	0.438774i
$934$	−6.09746	+	4.43006i	−0.199515	+	0.144956i
$935$	43.7316	−	8.94289i	1.43018	−	0.292464i
$936$	−1.58694	−	1.56151i	−0.0518709	−	0.0510397i
$937$	−0.638292	+	1.43363i	−0.0208521	+	0.0468346i	−0.923671	−	0.383186i	$-0.874827\pi$
$937$	−0.638292	+	1.43363i	−0.0208521	+	0.0468346i	0.902819	+	0.430020i	$0.141494\pi$
$938$	9.02585	+	6.55766i	0.294704	+	0.214115i
$939$	7.39912	+	11.9655i	0.241461	+	0.390480i
$940$	−3.27410	+	1.85673i	−0.106789	+	0.0605598i
$941$	2.97803	+	28.3340i	0.0970809	+	0.923663i	0.929327	+	0.369257i	$0.120388\pi$
$941$	2.97803	+	28.3340i	0.0970809	+	0.923663i	−0.832247	+	0.554406i	$0.812946\pi$
$942$	13.0945	−	19.2184i	0.426642	−	0.626171i
$943$	−26.8350	−	29.8033i	−0.873869	−	0.970530i
$944$	−13.6638	−	1.43612i	−0.444719	−	0.0467419i
$945$	28.5399	+	26.8462i	0.928402	+	0.873307i
$946$	−8.10557	+	24.9464i	−0.263535	+	0.811076i
$947$	15.4998	+	1.62910i	0.503677	+	0.0529386i	0.352960	−	0.935638i	$-0.385175\pi$
$947$	15.4998	+	1.62910i	0.503677	+	0.0529386i	0.150717	+	0.988577i	$0.451842\pi$
$948$	−11.7071	−	9.91729i	−0.380228	−	0.322098i
$949$	6.11735	−	6.79400i	0.198578	−	0.220543i
$950$	5.64949	+	0.0872993i	0.183294	+	0.00283236i
$951$	−2.91371	+	39.0371i	−0.0944834	+	1.26587i
$952$	−19.8818	+	8.85196i	−0.644373	+	0.286894i
$953$	25.5179	−	35.1224i	0.826606	−	1.13773i	−0.161939	−	0.986801i	$-0.551775\pi$
$953$	25.5179	−	35.1224i	0.826606	−	1.13773i	0.988545	−	0.150925i	$-0.0482251\pi$
$954$	1.93621	−	12.8981i	0.0626870	−	0.417593i
$955$	−2.61970	+	7.85558i	−0.0847715	+	0.254201i
$956$	−5.35360	+	9.27270i	−0.173148	+	0.299901i
$957$	−30.3233	−	31.6968i	−0.980214	−	1.02461i
$958$	−1.95338	−	9.18992i	−0.0631108	−	0.296913i
$959$	−19.2790	−	59.3346i	−0.622550	−	1.91601i
$960$	2.93575	+	2.52614i	0.0947508	+	0.0815309i
$961$	−30.8571	−	2.97302i	−0.995391	−	0.0959039i
$962$	4.74750			0.153065
$963$	−6.60746	−	9.99688i	−0.212922	−	0.322145i
$964$	0.984903	+	4.63360i	0.0317216	+	0.149238i
$965$	19.4174	+	4.28434i	0.625067	+	0.137918i
$966$	36.2711	+	14.8526i	1.16700	+	0.477876i
$967$	8.15865	+	14.1312i	0.262365	+	0.454429i	0.966870	−	0.255270i	$-0.0821643\pi$
$967$	8.15865	+	14.1312i	0.262365	+	0.454429i	−0.704505	+	0.709699i	$0.748831\pi$
$968$	1.30854	+	0.582600i	0.0420581	+	0.0187255i
$969$	−11.1251	−	5.98237i	−0.357388	−	0.192181i
$970$	8.36273	+	3.80101i	0.268511	+	0.122043i
$971$	2.68022	−	12.6095i	0.0860124	−	0.404657i	−0.913987	−	0.405744i	$-0.867013\pi$
$971$	2.68022	−	12.6095i	0.0860124	−	0.404657i	0.999999	+	0.00108683i	$0.000345949\pi$
$972$	−11.0885	+	10.9565i	−0.355664	+	0.351430i
$973$	2.78807	−	3.09646i	0.0893813	−	0.0992680i
$974$	5.66194	+	6.28823i	0.181420	+	0.201488i
$975$	0.577343	−	6.40099i	0.0184898	−	0.204996i
$976$	−2.39168	−	0.777103i	−0.0765558	−	0.0248745i
$977$	16.4034	−	50.4845i	0.524791	−	1.61514i	−0.239937	−	0.970788i	$-0.577127\pi$
$977$	16.4034	−	50.4845i	0.524791	−	1.61514i	0.764728	−	0.644353i	$-0.222873\pi$
$978$	0.984189	+	32.5592i	0.0314709	+	1.04113i
$979$	−26.5343	−	29.4693i	−0.848040	−	0.941844i
$980$	0.0755291	−	9.77618i	0.00241269	−	0.312289i
$981$	−10.8723	−	27.6536i	−0.347126	−	0.882913i
$982$	−15.4288	−	3.27949i	−0.492352	−	0.104653i
$983$	19.1891	+	43.0994i	0.612037	+	1.37466i	0.907802	+	0.419398i	$0.137759\pi$
$983$	19.1891	+	43.0994i	0.612037	+	1.37466i	−0.295765	+	0.955261i	$0.595575\pi$
$984$	−9.11712	−	4.90262i	−0.290643	−	0.156290i
$985$	−11.5510	−	36.5077i	−0.368046	−	1.16323i
$986$	45.7611	−	26.4202i	1.45733	−	0.841389i
$987$	−3.72581	+	9.09865i	−0.118594	+	0.289613i
$988$	−0.678461	+	0.492931i	−0.0215847	+	0.0156822i
$989$	11.8309	+	55.6601i	0.376201	+	1.76989i
$990$	−20.0444	−	5.36333i	−0.637053	−	0.170458i
$991$			40.2758i			1.27940i	0.768624	+	0.639701i	$0.220942\pi$
$991$			40.2758i			1.27940i	−0.768624	+	0.639701i	$0.779058\pi$
$992$	−0.267293	+	5.56134i	−0.00848657	+	0.176573i
$993$	−11.2598	+	1.52867i	−0.357319	+	0.0485108i
$994$	0.839756	+	2.58450i	0.0266355	+	0.0819755i
$995$	11.3020	+	8.34552i	0.358296	+	0.264571i
$996$	7.63788	−	7.30693i	0.242016	−	0.231529i
$997$	−9.42145	−	5.43947i	−0.298380	−	0.172270i	0.343335	−	0.939213i	$-0.388443\pi$
$997$	−9.42145	−	5.43947i	−0.298380	−	0.172270i	−0.641715	+	0.766943i	$0.721777\pi$
$998$	−0.317110	+	0.183084i	−0.0100379	+	0.00579541i
$999$	0.467488	−	33.2374i	0.0147907	−	1.05159i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bo.b.179.19	yes	256
3.2	odd	2		930.2.bo.a.179.15	yes	256
5.4	even	2		930.2.bo.a.179.14	✓	256
15.14	odd	2	inner	930.2.bo.b.179.18	yes	256
31.22	odd	30	inner	930.2.bo.b.239.18	yes	256
93.53	even	30		930.2.bo.a.239.14	yes	256
155.84	odd	30		930.2.bo.a.239.15	yes	256
465.239	even	30	inner	930.2.bo.b.239.19	yes	256

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bo.a.179.14	✓	256	5.4	even	2
930.2.bo.a.179.15	yes	256	3.2	odd	2
930.2.bo.a.239.14	yes	256	93.53	even	30
930.2.bo.a.239.15	yes	256	155.84	odd	30
930.2.bo.b.179.18	yes	256	15.14	odd	2	inner
930.2.bo.b.179.19	yes	256	1.1	even	1	trivial
930.2.bo.b.239.18	yes	256	31.22	odd	30	inner
930.2.bo.b.239.19	yes	256	465.239	even	30	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:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.bo (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.309017 - 0.951057i) q^{2} +(0.584760 + 1.63035i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.447993 - 2.19073i) q^{5} +(1.36986 - 1.05995i) q^{6} +(1.37162 - 3.08072i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-2.31611 + 1.90673i) q^{9} +O(q^{10})\)	\(q+(-0.309017 - 0.951057i) q^{2} +(0.584760 + 1.63035i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.447993 - 2.19073i) q^{5} +(1.36986 - 1.05995i) q^{6} +(1.37162 - 3.08072i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-2.31611 + 1.90673i) q^{9} +(-1.94507 + 1.10304i) q^{10} +(-0.323323 - 3.07621i) q^{11} +(-1.43138 - 0.975272i) q^{12} +(0.496577 + 0.551505i) q^{13} +(-3.35379 - 0.352498i) q^{14} +(3.30970 - 2.01144i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-6.41828 - 0.674588i) q^{17} +(2.52913 + 1.61354i) q^{18} +(0.756140 - 0.839778i) q^{19} +(1.65011 + 1.50901i) q^{20} +(5.82473 + 0.434754i) q^{21} +(-2.82574 + 1.25810i) q^{22} +(-3.94420 + 5.42873i) q^{23} +(-0.485218 + 1.66270i) q^{24} +(-4.59860 + 1.96287i) q^{25} +(0.371061 - 0.642697i) q^{26} +(-4.46302 - 2.66111i) q^{27} +(0.701133 + 3.29857i) q^{28} +(-2.53013 - 7.78695i) q^{29} +(-2.93575 - 2.52614i) q^{30} +(0.267293 - 5.56134i) q^{31} -1.00000 q^{32} +(4.82625 - 2.32598i) q^{33} +(1.34179 + 6.31261i) q^{34} +(-7.36350 - 1.62472i) q^{35} +(0.753026 - 2.90395i) q^{36} +(3.19859 + 5.54012i) q^{37} +(-1.03234 - 0.459626i) q^{38} +(-0.608770 + 1.13209i) q^{39} +(0.925245 - 2.03566i) q^{40} +(-1.24260 + 5.84595i) q^{41} +(-1.38647 - 5.67400i) q^{42} +(5.67427 - 6.30191i) q^{43} +(2.06973 + 2.29866i) q^{44} +(5.21474 + 4.21978i) q^{45} +(6.38185 + 2.07359i) q^{46} +(-0.520163 + 1.60090i) q^{47} +(1.73126 - 0.0523321i) q^{48} +(-2.92555 - 3.24916i) q^{49} +(3.28784 + 3.76697i) q^{50} +(-2.65333 - 10.8585i) q^{51} +(-0.725906 - 0.154296i) q^{52} +(-1.76831 - 3.97169i) q^{53} +(-1.15171 + 5.06691i) q^{54} +(-6.59431 + 2.08644i) q^{55} +(2.92047 - 1.68613i) q^{56} +(1.81130 + 0.741708i) q^{57} +(-6.62398 + 4.81260i) q^{58} +(-2.85651 - 13.4388i) q^{59} +(-1.49531 + 3.57268i) q^{60} -2.51476i q^{61} +(-5.37175 + 1.46434i) q^{62} +(2.69726 + 9.75061i) q^{63} +(0.309017 + 0.951057i) q^{64} +(0.985735 - 1.33494i) q^{65} +(-3.70353 - 3.87127i) q^{66} +(-2.86510 - 1.65416i) q^{67} +(5.58901 - 3.22682i) q^{68} +(-11.1572 - 3.25595i) q^{69} +(0.730249 + 7.50517i) q^{70} +(-0.327765 - 0.736172i) q^{71} +(-2.99452 + 0.181201i) q^{72} +(-1.28769 - 12.2515i) q^{73} +(4.28055 - 4.75403i) q^{74} +(-5.88924 - 6.34955i) q^{75} +(-0.118121 + 1.12384i) q^{76} +(-9.92042 - 3.22334i) q^{77} +(1.26481 + 0.229138i) q^{78} +(8.80976 + 0.925943i) q^{79} +(-2.22195 - 0.250906i) q^{80} +(1.72876 - 8.83241i) q^{81} +(5.94381 - 0.624720i) q^{82} +(-1.26882 + 5.96933i) q^{83} +(-4.96785 + 3.07197i) q^{84} +(1.39750 + 14.3629i) q^{85} +(-7.74692 - 3.44915i) q^{86} +(11.2160 - 8.67851i) q^{87} +(1.54658 - 2.67875i) q^{88} +(10.3718 - 7.53552i) q^{89} +(2.40180 - 6.26349i) q^{90} +(2.38015 - 0.773357i) q^{91} -6.71028i q^{92} +(9.22327 - 2.81627i) q^{93} +1.68328 q^{94} +(-2.17847 - 1.28028i) q^{95} +(-0.584760 - 1.63035i) q^{96} +(-2.41469 - 3.32353i) q^{97} +(-2.18609 + 3.78641i) q^{98} +(6.61436 + 6.50837i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9}+O(q^{10}) \) 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9	\( 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9} - 2 q^{10} - 10 q^{15} - 64 q^{16} + 6 q^{17} + 6 q^{18} - 4 q^{19} - 3 q^{20} - 20 q^{23} - 2 q^{25} + 42 q^{31} - 256 q^{32} - 8 q^{33} + 14 q^{34} + 16 q^{35} + 4 q^{36} - 36 q^{38} + 8 q^{39} + 3 q^{40} + 55 q^{45} - 10 q^{46} + 6 q^{47} - 40 q^{49} + 7 q^{50} + 68 q^{51} + 34 q^{53} + 6 q^{57} + 10 q^{60} - 2 q^{62} + 72 q^{63} - 64 q^{64} + 8 q^{66} + 6 q^{68} + 10 q^{69} - 16 q^{70} + 6 q^{72} - 80 q^{75} - 24 q^{76} - 100 q^{77} - 8 q^{78} + 40 q^{79} + 2 q^{80} + 12 q^{81} + 26 q^{83} - 30 q^{85} - 16 q^{87} - 25 q^{90} - 20 q^{91} + 22 q^{93} + 4 q^{94} - 56 q^{95} - 130 q^{98} + 102 q^{99}+O(q^{100}) \) 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9 - 2 * q^10 - 10 * q^15 - 64 * q^16 + 6 * q^17 + 6 * q^18 - 4 * q^19 - 3 * q^20 - 20 * q^23 - 2 * q^25 + 42 * q^31 - 256 * q^32 - 8 * q^33 + 14 * q^34 + 16 * q^35 + 4 * q^36 - 36 * q^38 + 8 * q^39 + 3 * q^40 + 55 * q^45 - 10 * q^46 + 6 * q^47 - 40 * q^49 + 7 * q^50 + 68 * q^51 + 34 * q^53 + 6 * q^57 + 10 * q^60 - 2 * q^62 + 72 * q^63 - 64 * q^64 + 8 * q^66 + 6 * q^68 + 10 * q^69 - 16 * q^70 + 6 * q^72 - 80 * q^75 - 24 * q^76 - 100 * q^77 - 8 * q^78 + 40 * q^79 + 2 * q^80 + 12 * q^81 + 26 * q^83 - 30 * q^85 - 16 * q^87 - 25 * q^90 - 20 * q^91 + 22 * q^93 + 4 * q^94 - 56 * q^95 - 130 * q^98 + 102 * q^99

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