LMFDB - Embedded newform 336.2.bu.a.11.14

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [336,2,Mod(11,336)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(336, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 3, 6, 8]))

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

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

chi := DirichletCharacter("336.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 336 = 2^{4} \cdot 3 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	336.bu (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.68297350792$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$60$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			11.14
Character	$\chi$	$=$	336.11
Dual form			336.2.bu.a.275.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.10334 - 0.884670i) q^{2} +(1.72780 + 0.121317i) q^{3} +(0.434720 + 1.95218i) q^{4} +(2.01953 + 0.541132i) q^{5} +(-1.79902 - 1.66238i) q^{6} +(2.33730 + 1.23976i) q^{7} +(1.24739 - 2.53851i) q^{8} +(2.97056 + 0.419221i) q^{9} +O(q^{10})$	\(q+(-1.10334 - 0.884670i) q^{2} +(1.72780 + 0.121317i) q^{3} +(0.434720 + 1.95218i) q^{4} +(2.01953 + 0.541132i) q^{5} +(-1.79902 - 1.66238i) q^{6} +(2.33730 + 1.23976i) q^{7} +(1.24739 - 2.53851i) q^{8} +(2.97056 + 0.419221i) q^{9} +(-1.74951 - 2.38367i) q^{10} +(-5.09788 + 1.36597i) q^{11} +(0.514275 + 3.42571i) q^{12} +(-1.88906 + 1.88906i) q^{13} +(-1.48206 - 3.43562i) q^{14} +(3.42369 + 1.17997i) q^{15} +(-3.62204 + 1.69730i) q^{16} +(1.60874 + 0.928808i) q^{17} +(-2.90667 - 3.09051i) q^{18} +(-0.212671 + 0.793698i) q^{19} +(-0.178459 + 4.17774i) q^{20} +(3.88798 + 2.42561i) q^{21} +(6.83313 + 3.00281i) q^{22} +(3.17884 - 1.83530i) q^{23} +(2.46321 - 4.23469i) q^{24} +(-0.544437 - 0.314331i) q^{25} +(3.75546 - 0.413082i) q^{26} +(5.08167 + 1.08471i) q^{27} +(-1.40417 + 5.10179i) q^{28} +(-3.48657 - 3.48657i) q^{29} +(-2.73362 - 4.33075i) q^{30} +(-8.90915 - 5.14370i) q^{31} +(5.49789 + 1.33160i) q^{32} +(-8.97381 + 1.74166i) q^{33} +(-0.953302 - 2.44800i) q^{34} +(4.04939 + 3.76853i) q^{35} +(0.472966 + 5.98133i) q^{36} +(2.85862 - 10.6685i) q^{37} +(0.936809 - 0.687576i) q^{38} +(-3.49308 + 3.03473i) q^{39} +(3.89282 - 4.45159i) q^{40} +10.0243 q^{41} +(-2.14391 - 6.11585i) q^{42} +(2.35824 - 2.35824i) q^{43} +(-4.88278 - 9.35818i) q^{44} +(5.77230 + 2.45410i) q^{45} +(-5.13097 - 0.787257i) q^{46} +(-0.999501 - 1.73119i) q^{47} +(-6.46406 + 2.49318i) q^{48} +(3.92598 + 5.79540i) q^{49} +(0.322620 + 0.828460i) q^{50} +(2.66690 + 1.79996i) q^{51} +(-4.50900 - 2.86658i) q^{52} +(-0.889219 - 3.31861i) q^{53} +(-4.64721 - 5.69240i) q^{54} -11.0345 q^{55} +(6.06268 - 4.38679i) q^{56} +(-0.463741 + 1.34555i) q^{57} +(0.762411 + 6.93133i) q^{58} +(1.79244 - 0.480283i) q^{59} +(-0.815170 + 7.19664i) q^{60} +(4.66038 + 1.24875i) q^{61} +(5.27935 + 13.5569i) q^{62} +(6.42338 + 4.66264i) q^{63} +(-4.88802 - 6.33303i) q^{64} +(-4.83724 + 2.79278i) q^{65} +(11.4420 + 6.01721i) q^{66} +(-10.3445 + 2.77181i) q^{67} +(-1.11385 + 3.54433i) q^{68} +(5.71503 - 2.78538i) q^{69} +(-1.13395 - 7.74034i) q^{70} -6.74364i q^{71} +(4.76966 - 7.01786i) q^{72} +(4.57611 + 2.64202i) q^{73} +(-12.5922 + 9.24208i) q^{74} +(-0.902543 - 0.609149i) q^{75} +(-1.64190 - 0.0701362i) q^{76} +(-13.6088 - 3.12746i) q^{77} +(6.53879 - 0.258120i) q^{78} +(-7.05918 + 4.07562i) q^{79} +(-8.23329 + 1.46776i) q^{80} +(8.64851 + 2.49065i) q^{81} +(-11.0602 - 8.86821i) q^{82} +(-11.5904 + 11.5904i) q^{83} +(-3.04505 + 8.64452i) q^{84} +(2.74630 + 2.74630i) q^{85} +(-4.68821 + 0.515679i) q^{86} +(-5.60110 - 6.44706i) q^{87} +(-2.89153 + 14.6449i) q^{88} +(-5.25019 - 9.09360i) q^{89} +(-4.19774 - 7.81428i) q^{90} +(-6.75728 + 2.07332i) q^{91} +(4.96475 + 5.40783i) q^{92} +(-14.7692 - 9.96810i) q^{93} +(-0.428738 + 2.79432i) q^{94} +(-0.858991 + 1.48782i) q^{95} +(9.33770 + 2.96772i) q^{96} +7.35956 q^{97} +(0.795318 - 9.86750i) q^{98} +(-15.7162 + 1.92057i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 2 q^{3} - 4 q^{4} - 8 q^{6} - 16 q^{7}+O(q^{10}) $ 240 * q - 2 * q^3 - 4 * q^4 - 8 * q^6 - 16 * q^7	$ 240 q - 2 q^{3} - 4 q^{4} - 8 q^{6} - 16 q^{7} - 4 q^{10} - 2 q^{12} - 16 q^{13} - 20 q^{16} + 16 q^{18} - 4 q^{19} + 2 q^{21} - 40 q^{22} - 22 q^{24} - 8 q^{27} - 4 q^{28} - 26 q^{30} - 4 q^{33} + 16 q^{36} - 4 q^{37} - 4 q^{39} + 8 q^{40} - 18 q^{42} - 16 q^{43} + 18 q^{45} - 20 q^{46} - 88 q^{48} - 16 q^{49} + 6 q^{51} + 8 q^{52} + 14 q^{54} - 32 q^{55} - 36 q^{58} - 42 q^{60} - 4 q^{61} - 64 q^{64} - 30 q^{66} - 36 q^{67} - 20 q^{69} + 116 q^{70} - 46 q^{72} - 24 q^{75} - 112 q^{76} - 92 q^{78} - 4 q^{81} - 32 q^{82} + 44 q^{84} - 56 q^{85} - 4 q^{87} - 20 q^{88} + 28 q^{90} - 40 q^{91} - 14 q^{93} + 72 q^{94} + 36 q^{96} - 32 q^{97} + 28 q^{99}+O(q^{100}) $ 240 * q - 2 * q^3 - 4 * q^4 - 8 * q^6 - 16 * q^7 - 4 * q^10 - 2 * q^12 - 16 * q^13 - 20 * q^16 + 16 * q^18 - 4 * q^19 + 2 * q^21 - 40 * q^22 - 22 * q^24 - 8 * q^27 - 4 * q^28 - 26 * q^30 - 4 * q^33 + 16 * q^36 - 4 * q^37 - 4 * q^39 + 8 * q^40 - 18 * q^42 - 16 * q^43 + 18 * q^45 - 20 * q^46 - 88 * q^48 - 16 * q^49 + 6 * q^51 + 8 * q^52 + 14 * q^54 - 32 * q^55 - 36 * q^58 - 42 * q^60 - 4 * q^61 - 64 * q^64 - 30 * q^66 - 36 * q^67 - 20 * q^69 + 116 * q^70 - 46 * q^72 - 24 * q^75 - 112 * q^76 - 92 * q^78 - 4 * q^81 - 32 * q^82 + 44 * q^84 - 56 * q^85 - 4 * q^87 - 20 * q^88 + 28 * q^90 - 40 * q^91 - 14 * q^93 + 72 * q^94 + 36 * q^96 - 32 * q^97 + 28 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/336\mathbb{Z}\right)^\times$.

$n$	$85$	$113$	$127$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$-1$	$e\left(\frac{2}{3}\right)$

Coefficient data

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

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

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

$2$	−1.10334	−	0.884670i	−0.780179	−	0.625556i
$2$	−1.10334	−	0.884670i	−0.780179	−	0.625556i
$3$	1.72780	+	0.121317i	0.997544	+	0.0700422i
$3$	1.72780	+	0.121317i	0.997544	+	0.0700422i
$4$	0.434720	+	1.95218i	0.217360	+	0.976092i
$5$	2.01953	+	0.541132i	0.903163	+	0.242002i	0.680374	−	0.732865i	$-0.261817\pi$
$5$	2.01953	+	0.541132i	0.903163	+	0.242002i	0.222789	+	0.974867i	$0.428484\pi$
$6$	−1.79902	−	1.66238i	−0.734448	−	0.678665i
$7$	2.33730	+	1.23976i	0.883418	+	0.468586i
$7$	2.33730	+	1.23976i	0.883418	+	0.468586i
$8$	1.24739	−	2.53851i	0.441020	−	0.897497i
$9$	2.97056	+	0.419221i	0.990188	+	0.139740i
$10$	−1.74951	−	2.38367i	−0.553243	−	0.753783i
$11$	−5.09788	+	1.36597i	−1.53707	+	0.411856i	−0.925317	−	0.379194i	$-0.876201\pi$
$11$	−5.09788	+	1.36597i	−1.53707	+	0.411856i	−0.611751	+	0.791050i	$0.709535\pi$
$12$	0.514275	+	3.42571i	0.148458	+	0.988919i
$13$	−1.88906	+	1.88906i	−0.523930	+	0.523930i	−0.918756	−	0.394826i	$-0.870805\pi$
$13$	−1.88906	+	1.88906i	−0.523930	+	0.523930i	0.394826	+	0.918756i	$0.370805\pi$
$14$	−1.48206	−	3.43562i	−0.396098	−	0.918208i
$15$	3.42369	+	1.17997i	0.883994	+	0.304667i
$16$	−3.62204	+	1.69730i	−0.905509	+	0.424326i
$17$	1.60874	+	0.928808i	0.390177	+	0.225269i	0.682237	−	0.731131i	$-0.261007\pi$
$17$	1.60874	+	0.928808i	0.390177	+	0.225269i	−0.292060	+	0.956400i	$0.594341\pi$
$18$	−2.90667	−	3.09051i	−0.685109	−	0.728441i
$19$	−0.212671	+	0.793698i	−0.0487900	+	0.182087i	−0.986021	−	0.166623i	$-0.946714\pi$
$19$	−0.212671	+	0.793698i	−0.0487900	+	0.182087i	0.937231	+	0.348710i	$0.113380\pi$
$20$	−0.178459	+	4.17774i	−0.0399046	+	0.934171i
$21$	3.88798	+	2.42561i	0.848428	+	0.529311i
$22$	6.83313	+	3.00281i	1.45683	+	0.640200i
$23$	3.17884	−	1.83530i	0.662833	−	0.382687i	−0.130523	−	0.991445i	$-0.541666\pi$
$23$	3.17884	−	1.83530i	0.662833	−	0.382687i	0.793356	+	0.608759i	$0.208332\pi$
$24$	2.46321	−	4.23469i	0.502800	−	0.864403i
$25$	−0.544437	−	0.314331i	−0.108887	−	0.0628661i
$26$	3.75546	−	0.413082i	0.736507	−	0.0810120i
$27$	5.08167	+	1.08471i	0.977969	+	0.208752i
$28$	−1.40417	+	5.10179i	−0.265363	+	0.964149i
$29$	−3.48657	−	3.48657i	−0.647440	−	0.647440i	0.304934	−	0.952374i	$-0.401366\pi$
$29$	−3.48657	−	3.48657i	−0.647440	−	0.647440i	−0.952374	+	0.304934i	$0.901366\pi$
$30$	−2.73362	−	4.33075i	−0.499088	−	0.790683i
$31$	−8.90915	−	5.14370i	−1.60013	−	0.923836i	−0.991460	−	0.130413i	$-0.958370\pi$
$31$	−8.90915	−	5.14370i	−1.60013	−	0.923836i	−0.608671	−	0.793423i	$-0.708297\pi$
$32$	5.49789	+	1.33160i	0.971899	+	0.235396i
$33$	−8.97381	+	1.74166i	−1.56214	+	0.303185i
$34$	−0.953302	−	2.44800i	−0.163490	−	0.419828i
$35$	4.04939	+	3.76853i	0.684472	+	0.636998i
$36$	0.472966	+	5.98133i	0.0788277	+	0.996888i
$37$	2.85862	−	10.6685i	0.469955	−	1.75390i	−0.169962	−	0.985451i	$-0.554364\pi$
$37$	2.85862	−	10.6685i	0.469955	−	1.75390i	0.639916	−	0.768444i	$-0.278969\pi$
$38$	0.936809	−	0.687576i	0.151970	−	0.111540i
$39$	−3.49308	+	3.03473i	−0.559341	+	0.485946i
$40$	3.89282	−	4.45159i	0.615509	−	0.703858i
$41$	10.0243			1.56554			0.782768	−	0.622313i	$-0.213807\pi$
$41$	10.0243			1.56554			0.782768	+	0.622313i	$0.213807\pi$
$42$	−2.14391	−	6.11585i	−0.330812	−	0.943697i
$43$	2.35824	−	2.35824i	0.359629	−	0.359629i	−0.504047	−	0.863676i	$-0.668156\pi$
$43$	2.35824	−	2.35824i	0.359629	−	0.359629i	0.863676	+	0.504047i	$0.168156\pi$
$44$	−4.88278	−	9.35818i	−0.736106	−	1.41080i
$45$	5.77230	+	2.45410i	0.860484	+	0.365836i
$46$	−5.13097	−	0.787257i	−0.756521	−	0.116075i
$47$	−0.999501	−	1.73119i	−0.145792	−	0.252520i	0.783876	−	0.620917i	$-0.213240\pi$
$47$	−0.999501	−	1.73119i	−0.145792	−	0.252520i	−0.929668	+	0.368398i	$0.879906\pi$
$48$	−6.46406	+	2.49318i	−0.933006	+	0.359860i
$49$	3.92598	+	5.79540i	0.560855	+	0.827914i
$50$	0.322620	+	0.828460i	0.0456254	+	0.117162i
$51$	2.66690	+	1.79996i	0.373441	+	0.252045i
$52$	−4.50900	−	2.86658i	−0.625285	−	0.397523i
$53$	−0.889219	−	3.31861i	−0.122144	−	0.455846i	0.877578	−	0.479434i	$-0.159158\pi$
$53$	−0.889219	−	3.31861i	−0.122144	−	0.455846i	−0.999722	+	0.0235874i	$0.992491\pi$
$54$	−4.64721	−	5.69240i	−0.632405	−	0.774638i
$55$	−11.0345			−1.48789
$56$	6.06268	−	4.38679i	0.810160	−	0.586209i
$57$	−0.463741	+	1.34555i	−0.0614240	+	0.178222i
$58$	0.762411	+	6.93133i	0.100109	+	0.910129i
$59$	1.79244	−	0.480283i	0.233356	−	0.0625275i	−0.140246	−	0.990117i	$-0.544789\pi$
$59$	1.79244	−	0.480283i	0.233356	−	0.0625275i	0.373602	+	0.927589i	$0.378123\pi$
$60$	−0.815170	+	7.19664i	−0.105238	+	0.929082i
$61$	4.66038	+	1.24875i	0.596701	+	0.159886i	0.544514	−	0.838752i	$-0.316714\pi$
$61$	4.66038	+	1.24875i	0.596701	+	0.159886i	0.0521870	+	0.998637i	$0.483381\pi$
$62$	5.27935	+	13.5569i	0.670478	+	1.72173i
$63$	6.42338	+	4.66264i	0.809270	+	0.587437i
$64$	−4.88802	−	6.33303i	−0.611002	−	0.791629i
$65$	−4.83724	+	2.79278i	−0.599986	+	0.346402i
$66$	11.4420	+	6.01721i	1.40841	+	0.740667i
$67$	−10.3445	+	2.77181i	−1.26379	+	0.338631i	−0.827647	−	0.561249i	$-0.810321\pi$
$67$	−10.3445	+	2.77181i	−1.26379	+	0.338631i	−0.436139	+	0.899879i	$0.643654\pi$
$68$	−1.11385	+	3.54433i	−0.135074	+	0.429813i
$69$	5.71503	−	2.78538i	0.688009	−	0.335321i
$70$	−1.13395	−	7.74034i	−0.135533	−	0.925148i
$71$		−	6.74364i		−	0.800323i	−0.916445	−	0.400162i	$-0.868954\pi$
$71$		−	6.74364i		−	0.800323i	0.916445	−	0.400162i	$-0.131046\pi$
$72$	4.76966	−	7.01786i	0.562110	−	0.827063i
$73$	4.57611	+	2.64202i	0.535593	+	0.309225i	0.743291	−	0.668968i	$-0.233264\pi$
$73$	4.57611	+	2.64202i	0.535593	+	0.309225i	−0.207698	+	0.978193i	$0.566597\pi$
$74$	−12.5922	+	9.24208i	−1.46381	+	1.07437i
$75$	−0.902543	−	0.609149i	−0.104217	−	0.0703385i
$76$	−1.64190	−	0.0701362i	−0.188338	−	0.00804517i
$77$	−13.6088	−	3.12746i	−1.55086	−	0.356407i
$78$	6.53879	−	0.258120i	0.740373	−	0.0292264i
$79$	−7.05918	+	4.07562i	−0.794220	+	0.458543i	−0.841446	−	0.540341i	$-0.818295\pi$
$79$	−7.05918	+	4.07562i	−0.794220	+	0.458543i	0.0472261	+	0.998884i	$0.484962\pi$
$80$	−8.23329	+	1.46776i	−0.920510	+	0.164101i
$81$	8.64851	+	2.49065i	0.960945	+	0.276739i
$82$	−11.0602	−	8.86821i	−1.22140	−	0.979330i
$83$	−11.5904	+	11.5904i	−1.27221	+	1.27221i	−0.327291	+	0.944924i	$0.606136\pi$
$83$	−11.5904	+	11.5904i	−1.27221	+	1.27221i	−0.944924	+	0.327291i	$0.893864\pi$
$84$	−3.04505	+	8.64452i	−0.332242	+	0.943194i
$85$	2.74630	+	2.74630i	0.297878	+	0.297878i
$86$	−4.68821	+	0.515679i	−0.505543	+	0.0556071i
$87$	−5.60110	−	6.44706i	−0.600501	−	0.691198i
$88$	−2.89153	+	14.6449i	−0.308238	+	1.56115i
$89$	−5.25019	−	9.09360i	−0.556519	−	0.963919i	−0.997784	−	0.0665423i	$-0.978803\pi$
$89$	−5.25019	−	9.09360i	−0.556519	−	0.963919i	0.441264	−	0.897377i	$-0.354530\pi$
$90$	−4.19774	−	7.81428i	−0.442481	−	0.823698i
$91$	−6.75728	+	2.07332i	−0.708356	+	0.217343i
$92$	4.96475	+	5.40783i	0.517611	+	0.563805i
$93$	−14.7692	−	9.96810i	−1.53149	−	1.03364i
$94$	−0.428738	+	2.79432i	−0.0442210	+	0.288212i
$95$	−0.858991	+	1.48782i	−0.0881307	+	0.152647i
$96$	9.33770	+	2.96772i	0.953025	+	0.302892i
$97$	7.35956			0.747250			0.373625	−	0.927580i	$-0.378115\pi$
$97$	7.35956			0.747250			0.373625	+	0.927580i	$0.378115\pi$
$98$	0.795318	−	9.86750i	0.0803392	−	0.996768i
$99$	−15.7162	+	1.92057i	−1.57954	+	0.193025i
$100$	0.376954	−	1.19949i	0.0376954	−	0.119949i
$101$	0.768560	+	2.86831i	0.0764746	+	0.285407i	0.993564	−	0.113275i	$-0.0361342\pi$
$101$	0.768560	+	2.86831i	0.0764746	+	0.285407i	−0.917089	+	0.398683i	$0.869468\pi$
$102$	−1.35013	−	4.34529i	−0.133683	−	0.430248i
$103$	−2.43113	−	4.21084i	−0.239546	−	0.414906i	0.721038	−	0.692896i	$-0.243665\pi$
$103$	−2.43113	−	4.21084i	−0.239546	−	0.414906i	−0.960584	+	0.277989i	$0.910332\pi$
$104$	2.43898	+	7.15178i	0.239162	+	0.701290i
$105$	6.53934	+	7.00251i	0.638174	+	0.683375i
$106$	−1.95476	+	4.44822i	−0.189863	+	0.432050i
$107$	−1.78724	+	6.67008i	−0.172779	+	0.644821i	0.824140	+	0.566386i	$0.191659\pi$
$107$	−1.78724	+	6.67008i	−0.172779	+	0.644821i	−0.996919	+	0.0784350i	$0.975008\pi$
$108$	0.0915539	+	10.3919i	0.00880978	+	0.999961i
$109$	1.83582	+	6.85137i	0.175839	+	0.656242i	0.996407	+	0.0846925i	$0.0269908\pi$
$109$	1.83582	+	6.85137i	0.175839	+	0.656242i	−0.820568	+	0.571549i	$0.806343\pi$
$110$	12.1748	+	9.76189i	1.16082	+	0.930760i
$111$	6.23339	−	18.0863i	0.591647	−	1.71667i
$112$	−10.5701	−	0.523345i	−0.998777	−	0.0494515i
$113$			3.35257i			0.315384i	0.987488	+	0.157692i	$0.0504053\pi$
$113$			3.35257i			0.315384i	−0.987488	+	0.157692i	$0.949595\pi$
$114$	1.70203	−	1.07434i	0.159410	−	0.100621i
$115$	7.41290	−	1.98628i	0.691257	−	0.185222i
$116$	5.29074	−	8.32210i	0.491233	−	0.772688i
$117$	−6.40350	+	4.81963i	−0.592004	+	0.445575i
$118$	−2.40256	−	1.05580i	−0.221174	−	0.0971944i
$119$	2.60862	+	4.16536i	0.239132	+	0.381838i
$120$	7.26605	−	7.21918i	0.663297	−	0.659018i
$121$	14.5962	−	8.42712i	1.32693	−	0.766102i
$122$	−4.03726	−	5.50069i	−0.365516	−	0.498009i
$123$	17.3200	+	1.21612i	1.56169	+	0.109654i
$124$	6.16846	−	19.6284i	0.553944	−	1.76268i
$125$	−8.32142	−	8.32142i	−0.744290	−	0.744290i
$126$	−2.96228	−	10.8270i	−0.263901	−	0.964550i
$127$			6.99674i			0.620861i	0.950596	+	0.310430i	$0.100473\pi$
$127$			6.99674i			0.620861i	−0.950596	+	0.310430i	$0.899527\pi$
$128$	−0.209489	+	11.3118i	−0.0185164	+	0.999829i
$129$	4.36066	−	3.78847i	0.383935	−	0.333556i
$130$	7.80782	+	1.19797i	0.684791	+	0.105069i
$131$	−10.8985	−	2.92025i	−0.952208	−	0.255143i	−0.250909	−	0.968011i	$-0.580730\pi$
$131$	−10.8985	−	2.92025i	−0.952208	−	0.255143i	−0.701299	+	0.712867i	$0.747396\pi$
$132$	−7.30114	−	16.7614i	−0.635483	−	1.45889i
$133$	−1.48107	+	1.59145i	−0.128425	+	0.137996i
$134$	13.8657	+	6.09325i	1.19781	+	0.526376i
$135$	9.67564	+	4.94046i	0.832746	+	0.425207i
$136$	4.36452	−	2.92521i	0.374254	−	0.250835i
$137$	−0.599840	+	1.03895i	−0.0512478	+	0.0887638i	−0.890511	−	0.454961i	$-0.849653\pi$
$137$	−0.599840	+	1.03895i	−0.0512478	+	0.0887638i	0.839264	+	0.543725i	$0.182986\pi$
$138$	−8.76977	−	1.98269i	−0.746532	−	0.168778i
$139$	0.959478	−	0.959478i	0.0813818	−	0.0813818i	−0.665244	−	0.746626i	$-0.731673\pi$
$139$	0.959478	−	0.959478i	0.0813818	−	0.0813818i	0.746626	+	0.665244i	$0.231673\pi$
$140$	−5.59651	+	9.54340i	−0.472992	+	0.806565i
$141$	−1.51691	−	3.11240i	−0.127747	−	0.262111i
$142$	−5.96590	+	7.44053i	−0.500647	+	0.624396i
$143$	7.04978	−	12.2106i	0.589533	−	1.02110i
$144$	−11.4710	+	3.52352i	−0.955920	+	0.293626i
$145$	−5.15455	−	8.92794i	−0.428062	−	0.741425i
$146$	−2.71169	−	6.96339i	−0.224421	−	0.576294i
$147$	6.08022	+	10.4896i	0.501488	+	0.865164i
$148$	22.0696	+	0.942738i	1.81411	+	0.0774926i
$149$	−0.0817759	−	0.0219118i	−0.00669934	−	0.00179508i	0.255468	−	0.966818i	$-0.417771\pi$
$149$	−0.0817759	−	0.0219118i	−0.00669934	−	0.00179508i	−0.262167	+	0.965022i	$0.584437\pi$
$150$	0.456916	+	1.47055i	0.0373070	+	0.120070i
$151$	2.51262	−	4.35199i	0.204474	−	0.354160i	−0.745491	−	0.666516i	$-0.767785\pi$
$151$	2.51262	−	4.35199i	0.204474	−	0.354160i	0.949965	+	0.312356i	$0.101118\pi$
$152$	1.74952	+	1.52992i	0.141905	+	0.124093i
$153$	4.38950	+	3.43350i	0.354870	+	0.277582i
$154$	12.2483	+	15.4899i	0.986999	+	1.24821i
$155$	−15.2089	−	15.2089i	−1.22161	−	1.22161i
$156$	−7.44287	−	5.49988i	−0.595906	−	0.440343i
$157$	−2.91587	−	10.8822i	−0.232712	−	0.868493i	−0.979167	−	0.203057i	$-0.934912\pi$
$157$	−2.91587	−	10.8822i	−0.232712	−	0.868493i	0.746455	−	0.665436i	$-0.231754\pi$
$158$	11.3943	+	1.74825i	0.906478	+	0.139083i
$159$	−1.13379	−	5.84176i	−0.0899152	−	0.463282i
$160$	10.3826	+	5.66430i	0.820817	+	0.447802i
$161$	9.70524	−	0.348661i	0.764880	−	0.0274783i
$162$	−7.33885	−	10.3991i	−0.576594	−	0.817031i
$163$	−4.66329	+	17.4036i	−0.365257	+	1.36316i	0.501814	+	0.864975i	$0.332666\pi$
$163$	−4.66329	+	17.4036i	−0.365257	+	1.36316i	−0.867072	+	0.498183i	$0.834001\pi$
$164$	4.35777	+	19.5693i	0.340285	+	1.52811i
$165$	−19.0654	−	1.33867i	−1.48424	−	0.104215i
$166$	23.0419	−	2.53449i	1.78840	−	0.196714i
$167$		−	10.5436i		−	0.815889i	−0.913007	−	0.407945i	$-0.866246\pi$
$167$		−	10.5436i		−	0.815889i	0.913007	−	0.407945i	$-0.133754\pi$
$168$	11.0073	−	6.84398i	0.849229	−	0.528024i
$169$			5.86292i			0.450994i
$170$	−0.600536	−	5.45967i	−0.0460590	−	0.418738i
$171$	−0.964487	+	2.26858i	−0.0737562	+	0.173482i
$172$	5.62890	+	3.57855i	0.429199	+	0.272862i
$173$	1.37964	−	5.14888i	0.104892	−	0.391462i	−0.893441	−	0.449181i	$-0.851716\pi$
$173$	1.37964	−	5.14888i	0.104892	−	0.391462i	0.998333	+	0.0577186i	$0.0183826\pi$
$174$	0.476404	+	12.0684i	0.0361161	+	0.914905i
$175$	−0.882819	−	1.40966i	−0.0667349	−	0.106560i
$176$	16.1462	−	13.6003i	1.21707	−	1.02516i
$177$	3.15524	−	0.612378i	0.237162	−	0.0460292i
$178$	−2.25208	+	14.6780i	−0.168801	+	1.10016i
$179$	−2.53558	−	9.46290i	−0.189518	−	0.707290i	−0.993618	−	0.112796i	$-0.964019\pi$
$179$	−2.53558	−	9.46290i	−0.189518	−	0.707290i	0.804100	−	0.594494i	$-0.202647\pi$
$180$	−2.28152	+	12.3354i	−0.170054	+	0.919429i
$181$	7.67082	+	7.67082i	0.570167	+	0.570167i	0.932175	−	0.362008i	$-0.117909\pi$
$181$	7.67082	+	7.67082i	0.570167	+	0.570167i	−0.362008	+	0.932175i	$0.617909\pi$
$182$	9.28979	+	3.69038i	0.688605	+	0.273549i
$183$	7.90070	+	2.72296i	0.584037	+	0.201287i
$184$	−0.693665	−	10.3588i	−0.0511376	−	0.763663i
$185$	11.5462	−	19.9986i	0.848891	−	1.47032i
$186$	7.47697	+	24.0641i	0.548238	+	1.76446i
$187$	−9.46990	−	2.53745i	−0.692508	−	0.185557i
$188$	2.94509	−	2.70379i	0.214793	−	0.197194i
$189$	10.5326	+	8.83536i	0.766137	+	0.642678i
$190$	2.26399	−	0.881645i	0.164247	−	0.0639612i
$191$	9.63256	+	16.6841i	0.696987	+	1.20722i	0.969506	+	0.245067i	$0.0788100\pi$
$191$	9.63256	+	16.6841i	0.696987	+	1.20722i	−0.272519	+	0.962150i	$0.587857\pi$
$192$	−7.67720	−	11.5352i	−0.554054	−	0.832480i
$193$	1.54096	−	2.66902i	0.110921	−	0.192120i	−0.805221	−	0.592975i	$-0.797953\pi$
$193$	1.54096	−	2.66902i	0.110921	−	0.192120i	0.916142	+	0.400855i	$0.131287\pi$
$194$	−8.12010	−	6.51078i	−0.582989	−	0.467446i
$195$	−8.69659	+	4.23853i	−0.622776	+	0.303527i
$196$	−9.60698	+	10.1836i	−0.686213	+	0.727401i
$197$	−17.1247	+	17.1247i	−1.22008	+	1.22008i	−0.252479	+	0.967602i	$0.581246\pi$
$197$	−17.1247	+	17.1247i	−1.22008	+	1.22008i	−0.967602	+	0.252479i	$0.918754\pi$
$198$	19.0394	+	11.7846i	1.35307	+	0.837496i
$199$	1.49576	−	2.59074i	0.106032	−	0.183653i	−0.808127	−	0.589008i	$-0.799519\pi$
$199$	1.49576	−	2.59074i	0.106032	−	0.183653i	0.914159	+	0.405355i	$0.132852\pi$
$200$	−1.47706	+	0.989962i	−0.104444	+	0.0700009i
$201$	−18.2095	+	3.53416i	−1.28440	+	0.249280i
$202$	1.68952	−	3.84464i	0.118874	−	0.270508i
$203$	−3.82666	−	12.4717i	−0.268579	−	0.875341i
$204$	−2.35450	+	5.98876i	−0.164848	+	0.419297i
$205$	20.2445	+	5.42449i	1.41393	+	0.378862i
$206$	−1.04284	+	6.79673i	−0.0726580	+	0.473551i
$207$	10.2123	−	4.11925i	0.709806	−	0.286307i
$208$	3.63593	−	10.0485i	0.252107	−	0.696741i
$209$		−	4.33668i		−	0.299974i
$210$	−1.02020	−	13.5113i	−0.0704007	−	0.932369i
$211$	15.7579	+	15.7579i	1.08482	+	1.08482i	0.996052	+	0.0887668i	$0.0282926\pi$
$211$	15.7579	+	15.7579i	1.08482	+	1.08482i	0.0887668	+	0.996052i	$0.471707\pi$
$212$	6.09198	−	3.17858i	0.418399	−	0.218306i
$213$	0.818116	−	11.6516i	0.0560564	−	0.798358i
$214$	7.87276	−	5.77825i	0.538171	−	0.394993i
$215$	6.03867	−	3.48643i	0.411834	−	0.237773i
$216$	9.09238	−	11.5468i	0.618658	−	0.785660i
$217$	−14.4464	−	23.0676i	−0.980688	−	1.56593i
$218$	4.03566	−	9.18348i	0.273330	−	0.621984i
$219$	7.58607	+	5.12003i	0.512619	+	0.345980i
$220$	−4.79692	−	21.5414i	−0.323408	−	1.45232i
$221$	−4.79358	+	1.28444i	−0.322451	+	0.0864005i
$222$	−22.8779	+	14.4408i	−1.53546	+	0.969203i
$223$			8.08351i			0.541312i	0.962676	+	0.270656i	$0.0872405\pi$
$223$			8.08351i			0.541312i	−0.962676	+	0.270656i	$0.912759\pi$
$224$	11.1994	+	9.92844i	0.748290	+	0.663372i
$225$	−1.48551	−	1.16198i	−0.0990340	−	0.0774653i
$226$	2.96592	−	3.69903i	0.197290	−	0.246056i
$227$	−5.00755	−	18.6884i	−0.332363	−	1.24039i	−0.906700	−	0.421775i	$-0.861407\pi$
$227$	−5.00755	−	18.6884i	−0.332363	−	1.24039i	0.574338	−	0.818618i	$-0.305260\pi$
$228$	−2.82835	−	0.320371i	−0.187312	−	0.0212171i
$229$	2.01994	−	7.53854i	0.133482	−	0.498160i	−0.866518	−	0.499146i	$-0.833647\pi$
$229$	2.01994	−	7.53854i	0.133482	−	0.498160i	1.00000		0.000985668i	$0.000313748\pi$
$230$	−9.93616	−	4.36643i	−0.655171	−	0.287914i
$231$	−23.1338	−	7.05459i	−1.52209	−	0.464158i
$232$	−13.1998	+	4.50155i	−0.866609	+	0.295541i
$233$	5.51240	+	9.54776i	0.361129	+	0.625494i	0.988147	−	0.153511i	$-0.0490580\pi$
$233$	5.51240	+	9.54776i	0.361129	+	0.625494i	−0.627018	+	0.779005i	$0.715725\pi$
$234$	11.3290	+	0.347285i	0.740601	+	0.0227027i
$235$	−1.08172	−	4.03705i	−0.0705640	−	0.263348i
$236$	1.71681	+	3.29038i	0.111755	+	0.214186i
$237$	−12.6913	+	6.18545i	−0.824387	+	0.401788i
$238$	0.806774	−	6.90358i	0.0522954	−	0.447493i
$239$	2.00738			0.129847			0.0649235	−	0.997890i	$-0.479320\pi$
$239$	2.00738			0.129847			0.0649235	+	0.997890i	$0.479320\pi$
$240$	−14.4035	+	1.53716i	−0.929743	+	0.0992231i
$241$	−12.6996	+	21.9964i	−0.818054	+	1.41691i	0.0890604	+	0.996026i	$0.471614\pi$
$241$	−12.6996	+	21.9964i	−0.818054	+	1.41691i	−0.907114	+	0.420885i	$0.861720\pi$
$242$	−23.5598	−	3.61483i	−1.51448	−	0.232370i
$243$	14.6407	+	5.35254i	0.939202	+	0.343366i
$244$	−0.411821	+	9.64078i	−0.0263641	+	0.617187i
$245$	4.79258	+	13.8285i	0.306186	+	0.883469i
$246$	−18.0340	−	16.6643i	−1.14980	−	1.06247i
$247$	−1.09759	−	1.90109i	−0.0698382	−	0.120963i
$248$	−24.1705	+	16.1997i	−1.53483	+	1.02868i
$249$	−21.4320	+	18.6198i	−1.35820	+	1.17998i
$250$	1.81965	+	16.5431i	0.115085	+	1.04628i
$251$	13.8126	+	13.8126i	0.871842	+	0.871842i	0.992673	−	0.120831i	$-0.0385561\pi$
$251$	13.8126	+	13.8126i	0.871842	+	0.871842i	−0.120831	+	0.992673i	$0.538556\pi$
$252$	−6.30996	+	14.5666i	−0.397490	+	0.917607i
$253$	−13.6983	+	13.6983i	−0.861207	+	0.861207i
$254$	6.18981	−	7.71979i	0.388383	−	0.484383i
$255$	4.41188	+	5.07822i	0.276283	+	0.318011i
$256$	10.2383	−	12.2954i	0.639895	−	0.768463i
$257$	−12.7844	+	7.38108i	−0.797469	+	0.460419i	−0.842585	−	0.538563i	$-0.818968\pi$
$257$	−12.7844	+	7.38108i	−0.797469	+	0.460419i	0.0451162	+	0.998982i	$0.485634\pi$
$258$	−8.16284	+	0.322230i	−0.508196	+	0.0200612i
$259$	19.9079	−	21.3916i	1.23702	−	1.32921i
$260$	−7.55487	−	8.22911i	−0.468533	−	0.510348i
$261$	−8.89544	−	11.8187i	−0.550614	−	0.731561i
$262$	9.44132	+	12.8636i	0.583287	+	0.794717i
$263$	7.92286	+	4.57426i	0.488544	+	0.282061i	0.723970	−	0.689831i	$-0.242315\pi$
$263$	7.92286	+	4.57426i	0.488544	+	0.282061i	−0.235426	+	0.971892i	$0.575649\pi$
$264$	−6.77265	+	24.9526i	−0.416828	+	1.53573i
$265$		−	7.18323i		−	0.441262i
$266$	3.04204	−	0.445655i	0.186519	−	0.0273248i
$267$	−7.96806	−	16.3488i	−0.487637	−	1.00053i
$268$	−9.90805	−	18.9895i	−0.605231	−	1.15997i
$269$	−3.69414	+	0.989841i	−0.225236	+	0.0603517i	−0.369672	−	0.929162i	$-0.620530\pi$
$269$	−3.69414	+	0.989841i	−0.225236	+	0.0603517i	0.144436	+	0.989514i	$0.453863\pi$
$270$	−6.30485	−	14.0108i	−0.383701	−	0.852667i
$271$	23.3764	−	13.4964i	1.42002	−	0.819847i	0.423717	−	0.905795i	$-0.360725\pi$
$271$	23.3764	−	13.4964i	1.42002	−	0.819847i	0.996300	+	0.0859474i	$0.0273917\pi$
$272$	−7.40340	−	0.633652i	−0.448897	−	0.0384208i
$273$	−11.9267	+	2.76251i	−0.721839	+	0.167195i
$274$	1.58096	−	0.615659i	0.0955092	−	0.0371933i
$275$	3.20484	+	0.858734i	0.193259	+	0.0517836i
$276$	7.92201	+	9.94593i	0.476849	+	0.598675i
$277$	−25.2448	+	6.76433i	−1.51681	+	0.406429i	−0.918691	−	0.394976i	$-0.870753\pi$
$277$	−25.2448	+	6.76433i	−1.51681	+	0.406429i	−0.598122	+	0.801405i	$0.704086\pi$
$278$	−1.90745	+	0.209810i	−0.114401	+	0.0125835i
$279$	−24.3089	−	19.0146i	−1.45533	−	1.13837i
$280$	14.6176	−	5.57856i	0.873570	−	0.333383i
$281$	−0.0580380			−0.00346225			−0.00173113	−	0.999999i	$-0.500551\pi$
$281$	−0.0580380			−0.00346225			−0.00173113	+	0.999999i	$0.500551\pi$
$282$	−1.07977	+	4.77600i	−0.0642994	+	0.284407i
$283$	−1.04587	−	3.90324i	−0.0621706	−	0.232024i	0.927848	−	0.372957i	$-0.121656\pi$
$283$	−1.04587	−	3.90324i	−0.0621706	−	0.232024i	−0.990019	+	0.140934i	$0.954990\pi$
$284$	13.1648	−	2.93159i	0.781189	−	0.173958i
$285$	−1.66466	+	2.46644i	−0.0986059	+	0.146099i
$286$	−18.5806	+	7.23570i	−1.09870	+	0.427856i
$287$	23.4299	+	12.4278i	1.38302	+	0.733588i
$288$	15.7736	+	6.26044i	0.929469	+	0.368900i
$289$	−6.77463	−	11.7340i	−0.398508	−	0.690236i
$290$	−2.21106	+	14.4106i	−0.129838	+	0.846221i
$291$	12.7158	+	0.892837i	0.745415	+	0.0523390i
$292$	−3.16838	+	10.0819i	−0.185415	+	0.590001i
$293$	−2.30615	+	2.30615i	−0.134727	+	0.134727i	−0.771254	−	0.636527i	$-0.780370\pi$
$293$	−2.30615	+	2.30615i	−0.134727	+	0.134727i	0.636527	+	0.771254i	$0.280370\pi$
$294$	2.57124	−	16.9525i	0.149958	−	0.988692i
$295$	3.87979			0.225890
$296$	−23.5163	−	20.5645i	−1.36686	−	1.19529i
$297$	−27.3874	+	1.41171i	−1.58918	+	0.0819160i
$298$	0.0708419	+	0.0965208i	0.00410376	+	0.00559130i
$299$	−2.53801	+	9.47199i	−0.146777	+	0.547779i
$300$	0.796817	−	2.02674i	0.0460043	−	0.117014i
$301$	8.43559	−	2.58827i	0.486219	−	0.149186i
$302$	−6.62234	+	2.57888i	−0.381073	+	0.148398i
$303$	0.979943	+	5.04909i	0.0562963	+	0.290063i
$304$	−0.576846	−	3.23577i	−0.0330844	−	0.185584i
$305$	8.73606	+	5.04377i	0.500226	+	0.288805i
$306$	−1.80559	−	7.67158i	−0.103219	−	0.438555i
$307$	−10.8118	−	10.8118i	−0.617062	−	0.617062i	0.327715	−	0.944777i	$-0.393721\pi$
$307$	−10.8118	−	10.8118i	−0.617062	−	0.617062i	−0.944777	+	0.327715i	$0.893721\pi$
$308$	0.189373	−	27.9264i	0.0107905	−	1.59125i
$309$	−3.68965	−	7.57041i	−0.209897	−	0.430666i
$310$	3.32574	+	30.2355i	0.188889	+	1.71726i
$311$	20.2135	+	11.6703i	1.14620	+	0.661760i	0.947959	−	0.318393i	$-0.103143\pi$
$311$	20.2135	+	11.6703i	1.14620	+	0.661760i	0.198243	+	0.980153i	$0.436476\pi$
$312$	3.34644	+	12.6527i	0.189455	+	0.716319i
$313$	−8.23079	+	4.75205i	−0.465232	+	0.268602i	−0.714241	−	0.699899i	$-0.753228\pi$
$313$	−8.23079	+	4.75205i	−0.465232	+	0.268602i	0.249010	+	0.968501i	$0.419895\pi$
$314$	−6.40994	+	14.5863i	−0.361734	+	0.823154i
$315$	10.4491	+	12.8923i	0.588741	+	0.726396i
$316$	−11.0251	−	12.0091i	−0.620212	−	0.675563i
$317$	−5.95262	+	22.2155i	−0.334333	+	1.24775i	0.570258	+	0.821465i	$0.306843\pi$
$317$	−5.95262	+	22.2155i	−0.334333	+	1.24775i	−0.904591	+	0.426281i	$0.859824\pi$
$318$	−3.91708	+	7.44848i	−0.219659	+	0.417690i
$319$	22.5367	+	13.0115i	1.26181	+	0.728507i
$320$	−6.44451	−	15.4348i	−0.360259	−	0.862833i
$321$	−3.89719	+	11.3077i	−0.217520	+	0.631136i
$322$	−11.0166	−	8.20124i	−0.613933	−	0.457037i
$323$	−1.07933	+	1.07933i	−0.0600553	+	0.0600553i
$324$	−1.10252	+	17.9662i	−0.0612514	+	0.998122i
$325$	1.62226	−	0.434684i	0.0899869	−	0.0241119i
$326$	20.5417	−	15.0767i	1.13770	−	0.835019i
$327$	2.34074	+	12.0605i	0.129443	+	0.666946i
$328$	12.5043	−	25.4468i	0.690433	−	1.40506i
$329$	−0.189880	−	5.28545i	−0.0104684	−	0.291397i
$330$	19.8513	+	18.3436i	1.09278	+	1.00978i
$331$	−6.96286	−	1.86569i	−0.382713	−	0.102548i	0.0623326	−	0.998055i	$-0.480146\pi$
$331$	−6.96286	−	1.86569i	−0.382713	−	0.102548i	−0.445046	+	0.895508i	$0.646813\pi$
$332$	−27.6652	−	17.5880i	−1.51833	−	0.965269i
$333$	12.9642	−	30.4932i	0.710434	−	1.67101i
$334$	−9.32761	+	11.6332i	−0.510384	+	0.636540i
$335$	−22.3911			−1.22335
$336$	−18.1994	−	2.18656i	−0.992860	−	0.119287i
$337$	21.5107			1.17176			0.585881	−	0.810397i	$-0.300748\pi$
$337$	21.5107			1.17176			0.585881	+	0.810397i	$0.300748\pi$
$338$	5.18675	−	6.46880i	0.282122	−	0.351856i
$339$	−0.406723	+	5.79257i	−0.0220902	+	0.314609i
$340$	−4.16741	+	6.55515i	−0.226010	+	0.355503i
$341$	52.4439	+	14.0523i	2.84000	+	0.760975i
$342$	3.07110	−	1.64976i	0.166066	−	0.0892087i
$343$	1.99131	+	18.4129i	0.107520	+	0.994203i
$344$	−3.04476	−	8.92807i	−0.164162	−	0.481369i
$345$	13.0490	−	2.53258i	0.702532	−	0.136350i
$346$	−6.07727	+	4.46044i	−0.326716	+	0.239795i
$347$	9.58491	−	2.56827i	0.514545	−	0.137872i	0.00780269	−	0.999970i	$-0.497516\pi$
$347$	9.58491	−	2.56827i	0.514545	−	0.137872i	0.506742	+	0.862098i	$0.330850\pi$
$348$	10.1509	−	13.7370i	0.544147	−	0.736383i
$349$	2.90444	−	2.90444i	0.155471	−	0.155471i	−0.625085	−	0.780556i	$-0.714936\pi$
$349$	2.90444	−	2.90444i	0.155471	−	0.155471i	0.780556	+	0.625085i	$0.214936\pi$
$350$	−0.273032	+	2.33634i	−0.0145941	+	0.124882i
$351$	−11.6486	+	7.55050i	−0.621759	+	0.403016i
$352$	−29.8465	+	0.721625i	−1.59082	+	0.0384627i
$353$	4.89670	+	2.82711i	0.260625	+	0.150472i	0.624620	−	0.780929i	$-0.285254\pi$
$353$	4.89670	+	2.82711i	0.260625	+	0.150472i	−0.363995	+	0.931401i	$0.618587\pi$
$354$	−4.02305	−	2.11568i	−0.213823	−	0.112447i
$355$	3.64920	−	13.6190i	0.193680	−	0.722822i
$356$	15.4700	−	14.2025i	0.819909	−	0.752731i
$357$	4.00184	+	7.51337i	0.211800	+	0.397650i
$358$	−5.57393	+	12.6839i	−0.294592	+	0.670367i
$359$	5.34460	−	3.08570i	0.282077	−	0.162857i	−0.352286	−	0.935892i	$-0.614596\pi$
$359$	5.34460	−	3.08570i	0.282077	−	0.162857i	0.634363	+	0.773035i	$0.281262\pi$
$360$	13.4301	−	11.5918i	0.707827	−	0.610941i
$361$	15.8698	+	9.16241i	0.835250	+	0.482232i
$362$	−1.67738	−	15.2497i	−0.0881613	−	0.801504i
$363$	26.2416	−	12.7896i	1.37733	−	0.671279i
$364$	−6.98503	−	12.2901i	−0.366115	−	0.644178i
$365$	7.81192	+	7.81192i	0.408895	+	0.408895i
$366$	−6.30824	−	9.99386i	−0.329737	−	0.522388i
$367$	−9.25041	−	5.34073i	−0.482867	−	0.278784i	0.238743	−	0.971083i	$-0.423265\pi$
$367$	−9.25041	−	5.34073i	−0.482867	−	0.278784i	−0.721611	+	0.692299i	$0.756598\pi$
$368$	−8.39880	+	12.0430i	−0.437817	+	0.627784i
$369$	29.7779	+	4.20241i	1.55018	+	0.218769i
$370$	−30.4315	+	11.8507i	−1.58206	+	0.616087i
$371$	2.03591	−	8.85902i	0.105699	−	0.459938i
$372$	13.0391	−	33.1655i	0.676046	−	1.71955i
$373$	0.724989	−	2.70569i	0.0375385	−	0.140096i	−0.944613	−	0.328185i	$-0.893563\pi$
$373$	0.724989	−	2.70569i	0.0375385	−	0.140096i	0.982152	+	0.188090i	$0.0602296\pi$
$374$	8.20371	+	11.1774i	0.424204	+	0.577970i
$375$	−13.3682	−	15.3872i	−0.690331	−	0.794594i
$376$	−5.64140	+	0.377768i	−0.290933	+	0.0194819i
$377$	13.1727			0.678426
$378$	−3.80471	−	19.0663i	−0.195693	−	0.980665i
$379$	−20.4716	+	20.4716i	−1.05155	+	1.05155i	−0.0529576	+	0.998597i	$0.516865\pi$
$379$	−20.4716	+	20.4716i	−1.05155	+	1.05155i	−0.998597	+	0.0529576i	$0.983135\pi$
$380$	−3.27791	−	1.03013i	−0.168153	−	0.0528443i
$381$	−0.848822	+	12.0890i	−0.0434865	+	0.619336i
$382$	4.13191	−	26.9298i	0.211407	−	1.37785i
$383$	−13.9963	−	24.2423i	−0.715177	−	1.23872i	−0.962891	−	0.269890i	$-0.913013\pi$
$383$	−13.9963	−	24.2423i	−0.715177	−	1.23872i	0.247714	−	0.968833i	$-0.420321\pi$
$384$	−1.73426	+	19.5190i	−0.0885012	+	0.996076i
$385$	−25.7910	−	13.6802i	−1.31443	−	0.697205i
$386$	−4.06140	+	1.58160i	−0.206720	+	0.0805012i
$387$	7.99394	−	6.01669i	0.406355	−	0.305845i
$388$	3.19934	+	14.3672i	0.162422	+	0.729384i
$389$	−8.65683	−	32.3077i	−0.438919	−	1.63807i	−0.731511	−	0.681829i	$-0.761185\pi$
$389$	−8.65683	−	32.3077i	−0.438919	−	1.63807i	0.292593	−	0.956237i	$-0.405482\pi$
$390$	13.3450	+	3.01707i	0.675750	+	0.152775i
$391$	6.81857			0.344830
$392$	19.6089	−	2.73699i	0.990399	−	0.138239i
$393$	−18.4762	−	6.36777i	−0.931999	−	0.321212i
$394$	34.0440	−	3.74466i	1.71511	−	0.188653i
$395$	−16.4617	+	4.41090i	−0.828278	+	0.221936i
$396$	−10.5815	−	29.8460i	−0.531738	−	1.49982i
$397$	−5.81564	−	1.55830i	−0.291878	−	0.0782086i	0.109909	−	0.993942i	$-0.464944\pi$
$397$	−5.81564	−	1.55830i	−0.291878	−	0.0782086i	−0.401787	+	0.915733i	$0.631611\pi$
$398$	−3.94229	+	1.53521i	−0.197609	+	0.0769531i
$399$	−2.75206	+	2.57003i	−0.137775	+	0.128662i
$400$	2.50549	+	0.214443i	0.125274	+	0.0107221i
$401$	−16.2396	+	9.37595i	−0.810968	+	0.468213i	−0.847292	−	0.531127i	$-0.821769\pi$
$401$	−16.2396	+	9.37595i	−0.810968	+	0.468213i	0.0363237	+	0.999340i	$0.488435\pi$
$402$	23.2179	+	12.2100i	1.15800	+	0.608981i
$403$	26.5466	−	7.11315i	1.32238	−	0.354331i
$404$	−5.26535	+	2.74728i	−0.261961	+	0.136682i
$405$	16.1182	+	9.70993i	0.800919	+	0.482490i
$406$	−6.81121	+	17.1458i	−0.338035	+	0.850934i
$407$			58.2917i			2.88941i
$408$	7.89588	−	4.52469i	0.390904	−	0.224005i
$409$	13.7141	+	7.91784i	0.678119	+	0.391512i	0.799146	−	0.601137i	$-0.205285\pi$
$409$	13.7141	+	7.91784i	0.678119	+	0.391512i	−0.121027	+	0.992649i	$0.538619\pi$
$410$	−17.5376	−	23.8947i	−0.866123	−	1.18008i
$411$	−1.16244	+	1.72233i	−0.0573392	+	0.0849563i
$412$	7.16347	−	6.57654i	0.352919	−	0.324003i
$413$	4.78491	+	1.09963i	0.235450	+	0.0541093i
$414$	−14.9118	−	4.48961i	−0.732877	−	0.220652i
$415$	−29.6792	+	17.1353i	−1.45689	+	0.841139i
$416$	−12.9013	+	7.87036i	−0.632539	+	0.385876i
$417$	1.77418	−	1.54138i	0.0868821	−	0.0754818i
$418$	−3.83653	+	4.78483i	−0.187651	+	0.234034i
$419$	19.1719	−	19.1719i	0.936611	−	0.936611i	−0.0614964	−	0.998107i	$-0.519587\pi$
$419$	19.1719	−	19.1719i	0.936611	−	0.936611i	0.998107	+	0.0614964i	$0.0195873\pi$
$420$	−10.8274	+	15.8101i	−0.528324	+	0.771454i
$421$	2.24788	+	2.24788i	0.109555	+	0.109555i	0.759759	−	0.650204i	$-0.225317\pi$
$421$	2.24788	+	2.24788i	0.109555	+	0.109555i	−0.650204	+	0.759759i	$0.725317\pi$
$422$	−3.44579	−	31.3269i	−0.167739	−	1.52497i
$423$	−2.24333	−	5.56162i	−0.109075	−	0.270415i
$424$	−9.53352	−	1.88233i	−0.462989	−	0.0914138i
$425$	−0.583906	−	1.01135i	−0.0283236	−	0.0490579i
$426$	−11.2105	+	12.1320i	−0.543151	+	0.587796i
$427$	9.34459	+	8.69646i	0.452216	+	0.420851i
$428$	−13.7982	−	0.589411i	−0.666960	−	0.0284902i
$429$	13.6619	−	20.2422i	0.659605	−	0.977300i
$430$	−9.74705	−	1.49551i	−0.470044	−	0.0721200i
$431$	−18.1062	+	31.3608i	−0.872143	+	1.51060i	−0.0123676	+	0.999924i	$0.503937\pi$
$431$	−18.1062	+	31.3608i	−0.872143	+	1.51060i	−0.859775	+	0.510672i	$0.829396\pi$
$432$	−20.2471	+	4.69629i	−0.974139	+	0.225950i
$433$	21.9141			1.05312			0.526561	−	0.850137i	$-0.323481\pi$
$433$	21.9141			1.05312			0.526561	+	0.850137i	$0.323481\pi$
$434$	−4.46788	+	38.2318i	−0.214465	+	1.83518i
$435$	−7.82290	−	16.0510i	−0.375079	−	0.769586i
$436$	−12.5771	+	6.56228i	−0.602332	+	0.314276i
$437$	0.780630	+	2.91335i	0.0373426	+	0.139364i
$438$	−3.84048	−	12.3603i	−0.183505	−	0.590598i
$439$	−2.33338	−	4.04154i	−0.111366	−	0.192892i	0.804955	−	0.593336i	$-0.202189\pi$
$439$	−2.33338	−	4.04154i	−0.111366	−	0.192892i	−0.916321	+	0.400444i	$0.868856\pi$
$440$	−13.7644	+	28.0112i	−0.656191	+	1.33538i
$441$	9.23283	+	18.8615i	0.439659	+	0.898165i
$442$	6.42525	+	2.82356i	0.305618	+	0.134303i
$443$	−9.06853	+	33.8442i	−0.430859	+	1.60799i	0.319927	+	0.947442i	$0.396342\pi$
$443$	−9.06853	+	33.8442i	−0.430859	+	1.60799i	−0.750786	+	0.660546i	$0.770325\pi$
$444$	38.0175	+	4.30627i	1.80423	+	0.204367i
$445$	−5.68210	−	21.2059i	−0.269357	−	1.00525i
$446$	7.15123	−	8.91886i	0.338621	−	0.422320i
$447$	−0.138634	−	0.0477799i	−0.00655716	−	0.00225991i
$448$	−3.57334	−	20.8622i	−0.168825	−	0.985646i
$449$		−	35.5966i		−	1.67991i	−0.542656	−	0.839955i	$-0.682581\pi$
$449$		−	35.5966i		−	1.67991i	0.542656	−	0.839955i	$-0.317419\pi$
$450$	0.611056	+	2.59624i	0.0288055	+	0.122388i
$451$	−51.1028	+	13.6929i	−2.40634	+	0.644776i
$452$	−6.54484	+	1.45743i	−0.307843	+	0.0685517i
$453$	4.86927	−	7.21453i	0.228778	−	0.338968i
$454$	−11.0080	+	25.0497i	−0.516633	+	1.17564i
$455$	−14.7685	+	0.530558i	−0.692358	+	0.0248730i
$456$	2.83722	+	2.85564i	0.132865	+	0.133727i
$457$	−3.65863	+	2.11231i	−0.171144	+	0.0988099i	−0.583125	−	0.812382i	$-0.698170\pi$
$457$	−3.65863	+	2.11231i	−0.171144	+	0.0988099i	0.411981	+	0.911192i	$0.364837\pi$
$458$	−8.89780	+	6.53059i	−0.415767	+	0.305154i
$459$	7.16762	+	6.46492i	0.334556	+	0.301756i
$460$	7.10012	+	13.6079i	0.331045	+	0.634470i
$461$	9.51573	+	9.51573i	0.443192	+	0.443192i	0.893083	−	0.449891i	$-0.148537\pi$
$461$	9.51573	+	9.51573i	0.443192	+	0.443192i	−0.449891	+	0.893083i	$0.648537\pi$
$462$	19.2835	+	28.2494i	0.897148	+	1.31428i
$463$		−	35.9541i		−	1.67093i	−0.549544	−	0.835465i	$-0.685198\pi$
$463$		−	35.9541i		−	1.67093i	0.549544	−	0.835465i	$-0.314802\pi$
$464$	18.5463	+	6.71072i	0.860988	+	0.311537i
$465$	−24.4328	−	28.1230i	−1.13304	−	1.30417i
$466$	2.36456	−	15.4111i	0.109536	−	0.713904i
$467$	8.92034	+	2.39020i	0.412784	+	0.110605i	0.459234	−	0.888315i	$-0.348124\pi$
$467$	8.92034	+	2.39020i	0.412784	+	0.110605i	−0.0464496	+	0.998921i	$0.514791\pi$
$468$	−12.1925	−	10.4056i	−0.563600	−	0.481000i
$469$	−27.6147	−	6.34619i	−1.27513	−	0.293040i
$470$	−2.37795	+	5.41121i	−0.109686	+	0.249601i
$471$	−3.71784	−	19.1559i	−0.171309	−	0.882659i
$472$	1.01668	−	5.14922i	0.0467964	−	0.237012i
$473$	−8.80074	+	15.2433i	−0.404659	+	0.700889i
$474$	19.4749	+	4.40293i	0.894510	+	0.202233i
$475$	0.365270	−	0.365270i	0.0167597	−	0.0167597i
$476$	−6.99753	+	6.90327i	−0.320731	+	0.316411i
$477$	−1.25025	−	10.2309i	−0.0572450	−	0.468442i
$478$	−2.21483	−	1.77587i	−0.101304	−	0.0812265i
$479$	15.3374	−	26.5652i	0.700785	−	1.21379i	−0.267407	−	0.963584i	$-0.586167\pi$
$479$	15.3374	−	26.5652i	0.700785	−	1.21379i	0.968191	−	0.250211i	$-0.0804999\pi$
$480$	17.2519	+	11.0463i	0.787436	+	0.504195i
$481$	14.7534	+	25.5536i	0.672695	+	1.16514i
$482$	33.4715	−	13.0345i	1.52459	−	0.593706i
$483$	16.8110	+	0.574993i	0.764926	+	0.0261631i
$484$	22.7965	+	24.8310i	1.03621	+	1.12868i
$485$	14.8629	+	3.98249i	0.674888	+	0.180836i
$486$	−11.4185	−	18.8579i	−0.517951	−	0.855410i
$487$	17.0103	−	29.4626i	0.770809	−	1.33508i	−0.166312	−	0.986073i	$-0.553186\pi$
$487$	17.0103	−	29.4626i	0.770809	−	1.33508i	0.937120	−	0.349006i	$-0.113481\pi$
$488$	8.98328	−	10.2727i	0.406654	−	0.465025i
$489$	−10.1686	+	29.5042i	−0.459839	+	1.33423i
$490$	6.94579	−	19.4974i	0.313779	−	0.880801i
$491$	19.8894	+	19.8894i	0.897597	+	0.897597i	0.995223	−	0.0976264i	$-0.0311250\pi$
$491$	19.8894	+	19.8894i	0.897597	+	0.897597i	−0.0976264	+	0.995223i	$0.531125\pi$
$492$	5.15526	+	34.3405i	0.232417	+	1.54819i
$493$	−2.37064	−	8.84735i	−0.106768	−	0.398464i
$494$	−0.470816	+	3.06856i	−0.0211830	+	0.138061i
$495$	−32.7787	−	4.62590i	−1.47329	−	0.207919i
$496$	40.9997	+	3.50914i	1.84094	+	0.157565i
$497$	8.36051	−	15.7619i	0.375020	−	0.707020i
$498$	40.1192	−	1.58371i	1.79778	−	0.0709679i
$499$	−5.10528	+	19.0532i	−0.228544	+	0.852937i	0.752410	+	0.658695i	$0.228891\pi$
$499$	−5.10528	+	19.0532i	−0.228544	+	0.852937i	−0.980954	+	0.194242i	$0.937775\pi$
$500$	12.6274	−	19.8624i	0.564717	−	0.888274i
$501$	1.27912	−	18.2172i	0.0571467	−	0.813885i
$502$	−3.02040	−	27.4595i	−0.134807	−	1.22558i
$503$			0.499778i			0.0222840i	0.999938	+	0.0111420i	$0.00354668\pi$
$503$			0.499778i			0.0222840i	−0.999938	+	0.0111420i	$0.996453\pi$
$504$	19.8486	−	10.4896i	0.884128	−	0.467246i
$505$			6.20853i			0.276276i
$506$	27.2324	−	2.99543i	1.21063	−	0.133163i
$507$	−0.711271	+	10.1299i	−0.0315886	+	0.449887i
$508$	−13.6589	+	3.04162i	−0.606017	+	0.134950i
$509$	−4.87145	+	18.1805i	−0.215923	+	0.805836i	0.769917	+	0.638145i	$0.220298\pi$
$509$	−4.87145	+	18.1805i	−0.215923	+	0.805836i	−0.985840	+	0.167691i	$0.946369\pi$
$510$	−0.375254	−	9.50606i	−0.0166165	−	0.420936i
$511$	7.42029	+	11.8485i	0.328254	+	0.524146i
$512$	−22.1737	+	4.50849i	−0.979949	+	0.199249i
$513$	−1.94165	+	3.80263i	−0.0857261	+	0.167890i
$514$	20.6354	+	3.16613i	0.910187	+	0.139652i
$515$	−2.63112	−	9.81949i	−0.115941	−	0.432698i
$516$	9.29145	+	6.86588i	0.409033	+	0.302254i
$517$	7.46009	+	7.46009i	0.328094	+	0.328094i
$518$	−40.8897	+	5.99028i	−1.79659	+	0.263198i
$519$	3.00838	−	8.72885i	0.132053	−	0.383154i
$520$	1.05555	+	15.7631i	0.0462890	+	0.691256i
$521$	16.1323	−	27.9419i	0.706767	−	1.22416i	−0.259283	−	0.965801i	$-0.583486\pi$
$521$	16.1323	−	27.9419i	0.706767	−	1.22416i	0.966050	−	0.258355i	$-0.0831803\pi$
$522$	−0.640972	+	20.9096i	−0.0280546	+	0.915188i
$523$	37.9728	+	10.1748i	1.66044	+	0.444912i	0.962507	−	0.271256i	$-0.0874389\pi$
$523$	37.9728	+	10.1748i	1.66044	+	0.444912i	0.697928	+	0.716168i	$0.254106\pi$
$524$	0.963062	−	22.5454i	0.0420716	−	0.984900i
$525$	−1.35432	−	2.54270i	−0.0591073	−	0.110973i
$526$	−4.69490	−	12.0561i	−0.204707	−	0.525670i
$527$	−9.55502	−	16.5498i	−0.416223	−	0.720920i
$528$	29.5474	−	21.5397i	1.28588	−	0.937394i
$529$	−4.76334	+	8.25034i	−0.207102	+	0.358711i
$530$	−6.35478	+	7.92555i	−0.276034	+	0.344264i
$531$	5.52590	−	0.675282i	0.239804	−	0.0293048i
$532$	−3.75066	−	2.19949i	−0.162612	−	0.0953600i
$533$	−18.9365	+	18.9365i	−0.820232	+	0.820232i
$534$	−5.67183	+	25.0874i	−0.245444	+	1.08564i
$535$	−7.21880	+	12.5033i	−0.312096	+	0.540566i
$536$	−5.86745	+	29.7172i	−0.253435	+	1.28359i
$537$	−3.23295	−	16.6576i	−0.139512	−	0.718827i
$538$	4.95157	+	2.17596i	0.213478	+	0.0938123i
$539$	−27.9305	−	24.1815i	−1.20305	−	1.04157i
$540$	−5.43850	+	21.0363i	−0.234036	+	0.905260i
$541$	12.8580	+	3.44529i	0.552808	+	0.148124i	0.524400	−	0.851472i	$-0.324290\pi$
$541$	12.8580	+	3.44529i	0.552808	+	0.148124i	0.0284079	+	0.999596i	$0.490956\pi$
$542$	−37.7320	−	5.78931i	−1.62073	−	0.248672i
$543$	12.3230	+	14.1842i	0.528831	+	0.608703i
$544$	7.60789	+	7.24869i	0.326186	+	0.310785i
$545$			14.8300i			0.635247i
$546$	15.6032	+	7.50324i	0.667754	+	0.321109i
$547$	−15.2550	−	15.2550i	−0.652256	−	0.652256i	0.301279	−	0.953536i	$-0.402586\pi$
$547$	−15.2550	−	15.2550i	−0.652256	−	0.652256i	−0.953536	+	0.301279i	$0.902586\pi$
$548$	−2.28899	−	0.719344i	−0.0977808	−	0.0307289i
$549$	13.3205	+	5.66321i	0.568504	+	0.241700i
$550$	−2.77633	−	3.78270i	−0.118383	−	0.161295i
$551$	3.50878	−	2.02579i	0.149479	−	0.0863017i
$552$	0.0581878	−	17.9821i	0.00247664	−	0.765370i
$553$	−21.5523	+	0.774265i	−0.916495	+	0.0329251i
$554$	33.8378	+	14.8700i	1.43763	+	0.631764i
$555$	22.3756	−	33.1527i	0.949791	−	1.40725i
$556$	2.29018	+	1.45597i	0.0971252	+	0.0617470i
$557$	1.54358	−	0.413602i	0.0654037	−	0.0175249i	−0.225969	−	0.974135i	$-0.572555\pi$
$557$	1.54358	−	0.413602i	0.0654037	−	0.0175249i	0.291373	+	0.956610i	$0.405888\pi$
$558$	9.99931	+	42.4849i	0.423304	+	1.79853i
$559$			8.90971i			0.376841i
$560$	−21.0634	−	6.77671i	−0.890090	−	0.286368i
$561$	−16.0542	−	5.53306i	−0.677810	−	0.233606i
$562$	0.0640356	+	0.0513444i	0.00270118	+	0.00216583i
$563$	2.83695	+	10.5876i	0.119563	+	0.446216i	0.999588	−	0.0287123i	$-0.00914068\pi$
$563$	2.83695	+	10.5876i	0.119563	+	0.446216i	−0.880025	+	0.474928i	$0.842474\pi$
$564$	5.41653	−	4.31431i	0.228077	−	0.181665i
$565$	−1.81419	+	6.77064i	−0.0763234	+	0.284843i
$566$	−2.29913	+	5.23186i	−0.0966396	+	0.219911i
$567$	17.1264	+	16.5435i	0.719241	+	0.694761i
$568$	−17.1188	−	8.41197i	−0.718288	−	0.352959i
$569$	−19.2899	−	33.4111i	−0.808675	−	1.40067i	−0.913782	−	0.406205i	$-0.866852\pi$
$569$	−19.2899	−	33.4111i	−0.808675	−	1.40067i	0.105107	−	0.994461i	$-0.466481\pi$
$570$	4.01867	−	1.24864i	0.168323	−	0.0522999i
$571$	−5.86446	−	21.8865i	−0.245420	−	0.915920i	−0.973172	−	0.230079i	$-0.926101\pi$
$571$	−5.86446	−	21.8865i	−0.245420	−	0.915920i	0.727752	−	0.685841i	$-0.240565\pi$
$572$	26.9020	+	8.45429i	1.12483	+	0.353492i
$573$	14.6190	+	29.9953i	0.610719	+	1.25307i
$574$	−14.8567	−	34.4398i	−0.620106	−	1.43749i
$575$	−2.30757			−0.0962322
$576$	−11.8652	−	20.8618i	−0.494385	−	0.869243i
$577$	−0.0919966	+	0.159343i	−0.00382987	+	0.00663353i	−0.867934	−	0.496680i	$-0.834552\pi$
$577$	−0.0919966	+	0.159343i	−0.00382987	+	0.00663353i	0.864104	+	0.503313i	$0.167886\pi$
$578$	−2.90599	+	18.9399i	−0.120873	+	0.787796i
$579$	2.98626	−	4.42458i	0.124105	−	0.183879i
$580$	15.1882	−	13.9438i	0.630655	−	0.578984i
$581$	−41.4597	+	12.7210i	−1.72004	+	0.527756i
$582$	−13.2400	−	12.2344i	−0.548816	−	0.507132i
$583$	9.06626	+	15.7032i	0.375486	+	0.650361i
$584$	12.4150	−	8.32084i	0.513736	−	0.344319i
$585$	−15.5401	+	6.26827i	−0.642506	+	0.259161i
$586$	4.58464	−	0.504287i	0.189390	−	0.0208319i
$587$	−19.0447	−	19.0447i	−0.786061	−	0.786061i	0.194785	−	0.980846i	$-0.437599\pi$
$587$	−19.0447	−	19.0447i	−0.786061	−	0.786061i	−0.980846	+	0.194785i	$0.937599\pi$
$588$	−17.8344	+	16.4297i	−0.735476	+	0.677551i
$589$	5.97726	−	5.97726i	0.246289	−	0.246289i
$590$	−4.28073	−	3.43233i	−0.176235	−	0.141307i
$591$	−31.6654	+	27.5104i	−1.30254	+	1.13163i
$592$	7.75370	+	43.4938i	0.318675	+	1.78758i
$593$	−24.2236	+	13.9855i	−0.994743	+	0.574315i	−0.906689	−	0.421801i	$-0.861398\pi$
$593$	−24.2236	+	13.9855i	−0.994743	+	0.574315i	−0.0880543	+	0.996116i	$0.528065\pi$
$594$	31.4666	+	22.6712i	1.29109	+	0.930212i
$595$	3.01418	+	9.82370i	0.123569	+	0.402732i
$596$	0.00722623	−	0.169167i	0.000295998	−	0.00692935i
$597$	2.89868	−	4.29481i	0.118635	−	0.175775i
$598$	11.1799	−	8.20553i	0.457179	−	0.335549i
$599$	−10.1061	−	5.83474i	−0.412923	−	0.238401i	0.279122	−	0.960256i	$-0.409957\pi$
$599$	−10.1061	−	5.83474i	−0.412923	−	0.238401i	−0.692045	+	0.721855i	$0.743290\pi$
$600$	−2.67215	+	1.53126i	−0.109090	+	0.0625135i
$601$		−	4.64343i		−	0.189410i	−0.995505	−	0.0947048i	$-0.969809\pi$
$601$		−	4.64343i		−	0.189410i	0.995505	−	0.0947048i	$-0.0301907\pi$
$602$	−11.5971	−	4.60696i	−0.472662	−	0.187766i
$603$	−31.8911	+	3.89719i	−1.29871	+	0.158706i
$604$	9.58816	+	3.01320i	0.390137	+	0.122605i
$605$	34.0377	−	9.12037i	1.38383	−	0.370796i
$606$	3.38557	−	6.43779i	0.137529	−	0.261517i
$607$	−19.0124	+	10.9768i	−0.771688	+	0.445534i	−0.833476	−	0.552555i	$-0.813653\pi$
$607$	−19.0124	+	10.9768i	−0.771688	+	0.445534i	0.0617885	+	0.998089i	$0.480320\pi$
$608$	−2.22613	+	4.08048i	−0.0902816	+	0.165485i
$609$	−5.09867	−	22.0128i	−0.206608	−	0.892003i
$610$	−5.17678	−	13.2935i	−0.209602	−	0.538239i
$611$	5.15843	+	1.38220i	0.208688	+	0.0559177i
$612$	−4.79463	+	10.0617i	−0.193811	+	0.406721i
$613$	19.3149	−	5.17540i	0.780120	−	0.209032i	0.153282	−	0.988182i	$-0.451016\pi$
$613$	19.3149	−	5.17540i	0.780120	−	0.209032i	0.626838	+	0.779150i	$0.284349\pi$
$614$	2.36422	+	21.4940i	0.0954123	+	0.867426i
$615$	34.3202	+	11.8284i	1.38393	+	0.476967i
$616$	−24.9146	+	30.6448i	−1.00384	+	1.23471i
$617$	17.5001			0.704526			0.352263	−	0.935901i	$-0.385412\pi$
$617$	17.5001			0.704526			0.352263	+	0.935901i	$0.385412\pi$
$618$	−2.62637	+	11.6169i	−0.105648	+	0.467299i
$619$	−3.70450	−	13.8254i	−0.148896	−	0.555689i	−0.999551	−	0.0299638i	$-0.990461\pi$
$619$	−3.70450	−	13.8254i	−0.148896	−	0.555689i	0.850655	−	0.525725i	$-0.176206\pi$
$620$	23.0790	−	36.3022i	0.926873	−	1.45793i
$621$	18.1446	−	5.87829i	0.728116	−	0.235888i
$622$	−11.9780	−	30.7585i	−0.480275	−	1.23330i
$623$	−0.997403	−	27.7635i	−0.0399601	−	1.11232i
$624$	7.50121	−	16.9207i	0.300289	−	0.677372i
$625$	−10.7307	−	18.5862i	−0.429230	−	0.743447i
$626$	13.2854	+	2.03840i	0.530989	+	0.0814709i
$627$	0.526112	−	7.49290i	0.0210109	−	0.299238i
$628$	19.9764	−	10.4230i	0.797146	−	0.415923i
$629$	14.5078	−	14.5078i	0.578464	−	0.578464i
$630$	−0.123556	−	23.4686i	−0.00492258	−	0.935010i
$631$	−19.9981			−0.796110			−0.398055	−	0.917362i	$-0.630315\pi$
$631$	−19.9981			−0.796110			−0.398055	+	0.917362i	$0.630315\pi$
$632$	1.54041	+	23.0037i	0.0612742	+	0.915037i
$633$	25.3148	+	29.1382i	1.00617	+	1.15814i
$634$	26.2211	−	19.2451i	1.04137	−	0.764322i
$635$	−3.78616	+	14.1302i	−0.150249	+	0.560738i
$636$	10.9113	−	4.75289i	0.432662	−	0.188464i
$637$	−18.3642	−	3.53143i	−0.727618	−	0.139920i
$638$	−13.3547	−	34.2937i	−0.528717	−	1.35770i
$639$	2.82708	−	20.0324i	0.111837	−	0.792470i
$640$	−6.54423	+	22.7311i	−0.258684	+	0.898527i
$641$	−4.08198	−	2.35673i	−0.161228	−	0.0930853i	0.417215	−	0.908808i	$-0.363006\pi$
$641$	−4.08198	−	2.35673i	−0.161228	−	0.0930853i	−0.578443	+	0.815723i	$0.696340\pi$
$642$	14.3035	−	9.02855i	0.564515	−	0.356328i
$643$	−11.6164	−	11.6164i	−0.458105	−	0.458105i	0.439928	−	0.898033i	$-0.355004\pi$
$643$	−11.6164	−	11.6164i	−0.458105	−	0.458105i	−0.898033	+	0.439928i	$0.855004\pi$
$644$	4.89971	+	18.7948i	0.193076	+	0.740620i
$645$	10.8566	−	5.29125i	0.427477	−	0.208343i
$646$	2.14571	−	0.236017i	0.0844218	−	0.00928596i
$647$	40.2167	+	23.2191i	1.58108	+	0.912839i	0.994702	+	0.102804i	$0.0327814\pi$
$647$	40.2167	+	23.2191i	1.58108	+	0.912839i	0.586382	+	0.810035i	$0.300552\pi$
$648$	17.1106	−	18.8475i	0.672168	−	0.740398i
$649$	−8.48159	+	4.89685i	−0.332931	+	0.192218i
$650$	−2.17446	−	0.955561i	−0.0852892	−	0.0374802i
$651$	−22.1620	−	41.6088i	−0.868598	−	1.63078i
$652$	−36.0023	−	1.53790i	−1.40996	−	0.0602287i
$653$	−0.0992825	+	0.370527i	−0.00388522	+	0.0144998i	−0.967841	−	0.251562i	$-0.919056\pi$
$653$	−0.0992825	+	0.370527i	−0.00388522	+	0.0144998i	0.963956	+	0.266062i	$0.0857225\pi$
$654$	8.08692	−	15.3776i	0.316223	−	0.601312i
$655$	−20.4297	−	11.7951i	−0.798254	−	0.460872i
$656$	−36.3085	+	17.0143i	−1.41761	+	0.664298i
$657$	12.4860	+	9.76669i	0.487127	+	0.381035i
$658$	−4.46638	+	5.99964i	−0.174118	+	0.233890i
$659$	29.9951	−	29.9951i	1.16844	−	1.16844i	0.185870	−	0.982574i	$-0.440490\pi$
$659$	29.9951	−	29.9951i	1.16844	−	1.16844i	0.982574	−	0.185870i	$-0.0595104\pi$
$660$	−5.67477	−	37.8011i	−0.220890	−	1.47140i
$661$	16.5049	−	4.42248i	0.641967	−	0.172014i	0.0768726	−	0.997041i	$-0.475507\pi$
$661$	16.5049	−	4.42248i	0.641967	−	0.172014i	0.565094	+	0.825026i	$0.308840\pi$
$662$	6.03188	+	8.21832i	0.234436	+	0.319414i
$663$	−8.43815	+	1.63770i	−0.327711	+	0.0636031i
$664$	14.9645	+	43.8802i	0.580737	+	1.70288i
$665$	−3.85226	+	2.41254i	−0.149384	+	0.0935541i
$666$	−41.2803	+	22.1753i	−1.59958	+	0.859275i
$667$	−17.4821	−	4.68432i	−0.676911	−	0.181378i
$668$	20.5831	−	4.58351i	0.796382	−	0.177341i
$669$	−0.980664	+	13.9667i	−0.0379147	+	0.539982i
$670$	24.7049	+	19.8087i	0.954435	+	0.765276i
$671$	−25.4638			−0.983020
$672$	18.1458	+	18.5130i	0.699988	+	0.714154i
$673$	−36.7055			−1.41489			−0.707446	−	0.706767i	$-0.750153\pi$
$673$	−36.7055			−1.41489			−0.707446	+	0.706767i	$0.750153\pi$
$674$	−23.7336	−	19.0299i	−0.914185	−	0.733003i
$675$	−2.42569	−	2.18788i	−0.0933650	−	0.0842116i
$676$	−11.4455	+	2.54873i	−0.440212	+	0.0980280i
$677$	−1.37655	−	0.368845i	−0.0529051	−	0.0141759i	0.232269	−	0.972651i	$-0.425385\pi$
$677$	−1.37655	−	0.368845i	−0.0529051	−	0.0141759i	−0.285175	+	0.958476i	$0.592052\pi$
$678$	5.57326	−	6.03136i	0.214040	−	0.231633i
$679$	17.2015	+	9.12409i	0.660134	+	0.350151i
$680$	10.3972	−	3.54578i	0.398715	−	0.135975i
$681$	−6.38481	−	32.8973i	−0.244666	−	1.26063i
$682$	−45.4318	−	61.9000i	−1.73968	−	2.37027i
$683$	29.7221	−	7.96402i	1.13729	−	0.304735i	0.359427	−	0.933173i	$-0.382972\pi$
$683$	29.7221	−	7.96402i	1.13729	−	0.304735i	0.777859	+	0.628439i	$0.216306\pi$
$684$	−4.84796	−	0.896662i	−0.185366	−	0.0342847i
$685$	−1.77361	+	1.77361i	−0.0677661	+	0.0677661i
$686$	14.0922	−	22.0773i	0.538044	−	0.842917i
$687$	4.40460	−	12.7800i	0.168046	−	0.487588i
$688$	−4.53899	+	12.5443i	−0.173047	+	0.478247i
$689$	7.94883	+	4.58926i	0.302826	+	0.174837i
$690$	−16.6379	−	8.74972i	−0.633396	−	0.333096i
$691$	1.46901	−	5.48243i	0.0558839	−	0.208561i	−0.932338	−	0.361587i	$-0.882235\pi$
$691$	1.46901	−	5.48243i	0.0558839	−	0.208561i	0.988222	+	0.153026i	$0.0489017\pi$
$692$	10.6513	+	0.454987i	0.404902	+	0.0172960i
$693$	−39.1146	−	14.9954i	−1.48584	−	0.569628i
$694$	−12.8475	−	5.64580i	−0.487684	−	0.214312i
$695$	2.45690	−	1.41849i	0.0931956	−	0.0538065i
$696$	−23.3527	+	6.17641i	−0.885181	+	0.234116i
$697$	16.1266	+	9.31067i	0.610837	+	0.352667i
$698$	−5.77405	+	0.635115i	−0.218551	+	0.0240395i
$699$	8.36600	+	17.1653i	0.316431	+	0.649252i
$700$	2.36813	−	2.33623i	0.0895070	−	0.0883012i
$701$	22.0115	+	22.0115i	0.831363	+	0.831363i	0.987703	−	0.156340i	$-0.0499697\pi$
$701$	22.0115	+	22.0115i	0.831363	+	0.831363i	−0.156340	+	0.987703i	$0.549970\pi$
$702$	19.5321	+	1.97444i	0.737192	+	0.0745204i
$703$	7.85965	+	4.53777i	0.296432	+	0.171145i
$704$	33.5693	+	25.6081i	1.26519	+	0.965142i
$705$	−1.37924	−	7.10644i	−0.0519452	−	0.267644i
$706$	−2.90167	−	7.45123i	−0.109206	−	0.280431i
$707$	−1.75966	+	7.65694i	−0.0661787	+	0.287969i
$708$	2.56712	+	5.89339i	0.0964782	+	0.221487i
$709$	2.46330	−	9.19317i	0.0925113	−	0.345257i	−0.904119	−	0.427281i	$-0.859472\pi$
$709$	2.46330	−	9.19317i	0.0925113	−	0.345257i	0.996630	+	0.0820238i	$0.0261383\pi$
$710$	−16.0746	+	11.7981i	−0.603270	+	0.442773i
$711$	−22.6783	+	9.14753i	−0.850504	+	0.343059i
$712$	−29.6332	+	1.98435i	−1.11055	+	0.0743665i
$713$	−37.7610			−1.41416
$714$	2.23146	−	11.8301i	0.0835103	−	0.442731i
$715$	20.8448	−	20.8448i	0.779552	−	0.779552i
$716$	17.3710	−	9.06361i	0.649186	−	0.338723i
$717$	3.46835	+	0.243529i	0.129528	+	0.00909477i
$718$	−8.62674	−	1.32362i	−0.321947	−	0.0493971i
$719$	14.6518	+	25.3777i	0.546422	+	0.946430i	0.998516	+	0.0544600i	$0.0173438\pi$
$719$	14.6518	+	25.3777i	0.546422	+	0.946430i	−0.452094	+	0.891970i	$0.649323\pi$
$720$	−25.0728	+	0.908508i	−0.934410	+	0.0338581i
$721$	−0.461853	−	12.8560i	−0.0172003	−	0.478784i
$722$	−9.40404	−	24.1487i	−0.349982	−	0.898723i
$723$	−24.6109	+	36.4646i	−0.915288	+	1.35613i
$724$	−11.6402	+	18.3095i	−0.432604	+	0.680467i
$725$	0.802281	+	2.99415i	0.0297960	+	0.111200i
$726$	−40.2680	−	9.10389i	−1.49449	−	0.337877i
$727$	−18.9939			−0.704446			−0.352223	−	0.935916i	$-0.614574\pi$
$727$	−18.9939			−0.704446			−0.352223	+	0.935916i	$0.614574\pi$
$728$	−3.16585	+	19.7396i	−0.117334	+	0.731600i
$729$	24.6468	+	11.0243i	0.912845	+	0.408306i
$730$	−1.70824	−	15.5302i	−0.0632248	−	0.574798i
$731$	5.98416	−	1.60345i	0.221332	−	0.0593058i
$732$	−1.88113	+	16.6073i	−0.0695286	+	0.613825i
$733$	−22.1443	−	5.93354i	−0.817917	−	0.219160i	−0.174481	−	0.984660i	$-0.555825\pi$
$733$	−22.1443	−	5.93354i	−0.817917	−	0.219160i	−0.643435	+	0.765500i	$0.722492\pi$
$734$	5.48157	+	14.0762i	0.202328	+	0.519562i
$735$	6.60297	+	24.4742i	0.243554	+	0.902745i
$736$	19.9208	−	5.85735i	0.734290	−	0.215905i
$737$	48.9490	−	28.2607i	1.80306	−	1.04100i
$738$	−29.1374	−	30.9803i	−1.07256	−	1.14040i
$739$	−4.35699	+	1.16745i	−0.160275	+	0.0429454i	−0.338064	−	0.941123i	$-0.609772\pi$
$739$	−4.35699	+	1.16745i	−0.160275	+	0.0429454i	0.177789	+	0.984069i	$0.443105\pi$
$740$	44.0602	+	13.8465i	1.61968	+	0.509007i
$741$	−1.66579	−	3.41785i	−0.0611942	−	0.125558i
$742$	−10.0836	+	7.97341i	−0.370181	+	0.292713i
$743$			11.4169i			0.418847i	0.977825	+	0.209424i	$0.0671587\pi$
$743$			11.4169i			0.418847i	−0.977825	+	0.209424i	$0.932841\pi$
$744$	−43.7271	+	25.0575i	−1.60311	+	0.918653i
$745$	−0.153292	−	0.0885031i	−0.00561618	−	0.00324250i
$746$	−3.19356	+	2.34393i	−0.116924	+	0.0858173i
$747$	−39.2891	+	29.5712i	−1.43751	+	1.08195i
$748$	0.836820	−	19.5901i	0.0305972	−	0.716283i
$749$	−12.4466	+	13.3743i	−0.454790	+	0.488685i
$750$	1.13704	+	28.8038i	0.0415187	+	1.05177i
$751$	−3.12417	+	1.80374i	−0.114002	+	0.0658193i	−0.555917	−	0.831238i	$-0.687633\pi$
$751$	−3.12417	+	1.80374i	−0.114002	+	0.0658193i	0.441915	+	0.897057i	$0.354299\pi$
$752$	6.55858	+	4.57397i	0.239167	+	0.166795i
$753$	22.1896	+	25.5410i	0.808635	+	0.930766i
$754$	−14.5339	−	11.6535i	−0.529294	−	0.424394i
$755$	7.42932	−	7.42932i	0.270381	−	0.270381i
$756$	−12.6695	+	24.4025i	−0.460785	+	0.887512i
$757$	25.8247	+	25.8247i	0.938613	+	0.938613i	0.998222	−	0.0596088i	$-0.0189853\pi$
$757$	25.8247	+	25.8247i	0.938613	+	0.938613i	−0.0596088	+	0.998222i	$0.518985\pi$
$758$	40.6977	−	4.47654i	1.47821	−	0.162595i
$759$	−25.3298	+	22.0061i	−0.919413	+	0.798771i
$760$	2.70533	+	4.03645i	0.0981327	+	0.146417i
$761$	−23.3631	−	40.4661i	−0.846913	−	1.46690i	−0.883949	−	0.467583i	$-0.845125\pi$
$761$	−23.3631	−	40.4661i	−0.846913	−	1.46690i	0.0370363	−	0.999314i	$-0.488208\pi$
$762$	11.6313	−	12.5873i	0.421356	−	0.455990i
$763$	−4.20319	+	18.2897i	−0.152166	+	0.662132i
$764$	−28.3829	+	26.0574i	−1.02686	+	0.942724i
$765$	7.00676	+	9.30937i	0.253330	+	0.336581i
$766$	−6.00374	+	39.1296i	−0.216924	+	1.41381i
$767$	−2.47874	+	4.29330i	−0.0895021	+	0.155022i
$768$	19.1814	−	20.0019i	0.692148	−	0.721756i
$769$	−27.7513			−1.00074			−0.500368	−	0.865813i	$-0.666802\pi$
$769$	−27.7513			−1.00074			−0.500368	+	0.865813i	$0.666802\pi$
$770$	16.3538	+	37.9104i	0.589351	+	1.36620i
$771$	−22.9843	+	11.2020i	−0.827760	+	0.403432i
$772$	5.88030	+	1.84796i	0.211637	+	0.0665095i
$773$	1.35750	+	5.06628i	0.0488260	+	0.182221i	0.986032	−	0.166554i	$-0.0532642\pi$
$773$	1.35750	+	5.06628i	0.0488260	+	0.182221i	−0.937206	+	0.348776i	$0.886597\pi$
$774$	−14.1428	−	0.433540i	−0.508353	−	0.0155833i
$775$	3.23365	+	5.60084i	0.116156	+	0.201188i
$776$	9.18026	−	18.6823i	0.329552	−	0.670655i
$777$	36.9920	−	34.5452i	1.32708	−	1.23930i
$778$	−19.0302	+	43.3048i	−0.682267	+	1.55255i
$779$	−2.13188	+	7.95629i	−0.0763826	+	0.285064i
$780$	−12.0550	−	15.1348i	−0.431637	−	0.541911i
$781$	9.21163	+	34.3783i	0.329618	+	1.23015i
$782$	−7.52320	−	6.03218i	−0.269029	−	0.215710i
$783$	−13.9357	−	21.4995i	−0.498021	−	0.768330i
$784$	−24.0566	−	14.3276i	−0.859165	−	0.511699i
$785$		−	23.5548i		−	0.840707i
$786$	14.7521	+	23.3711i	0.526190	+	0.833620i
$787$	−7.61369	+	2.04008i	−0.271399	+	0.0727211i	−0.391952	−	0.919986i	$-0.628200\pi$
$787$	−7.61369	+	2.04008i	−0.271399	+	0.0727211i	0.120553	+	0.992707i	$0.461533\pi$
$788$	−40.8749	−	25.9860i	−1.45611	−	0.925715i
$789$	13.1342	+	8.86457i	0.467588	+	0.315587i
$790$	22.0650	+	9.69644i	0.785039	+	0.344984i
$791$	−4.15639	+	7.83599i	−0.147784	+	0.278616i
$792$	−14.7289	+	42.2914i	−0.523370	+	1.50276i
$793$	−11.1627	+	6.44478i	−0.396399	+	0.228861i
$794$	5.03805	+	6.86425i	0.178794	+	0.243603i
$795$	0.871446	−	12.4112i	0.0309070	−	0.440179i
$796$	5.70784	+	1.79376i	0.202309	+	0.0635782i
$797$	−25.6437	−	25.6437i	−0.908347	−	0.908347i	0.0877915	−	0.996139i	$-0.472019\pi$
$797$	−25.6437	−	25.6437i	−0.908347	−	0.908347i	−0.996139	+	0.0877915i	$0.972019\pi$
$798$	5.31009	−	0.400951i	0.187975	−	0.0141935i
$799$		−	3.71338i		−	0.131370i
$800$	−2.57469	−	2.45313i	−0.0910291	−	0.0867312i
$801$	−11.7838	−	29.2141i	−0.416360	−	1.03223i
$802$	26.2125	+	4.02184i	0.925594	+	0.142016i
$803$	−26.9374	−	7.21785i	−0.950599	−	0.254712i
$804$	−14.8154	−	34.0120i	−0.522498	−	1.19951i
$805$	19.7887	+	4.54769i	0.697461	+	0.160285i
$806$	−35.5828	−	15.6368i	−1.25335	−	0.550782i
$807$	−6.50281	+	1.26208i	−0.228910	+	0.0444275i
$808$	8.23991	+	1.62691i	0.289879	+	0.0572346i
$809$	−21.9960	+	38.0983i	−0.773340	+	1.33946i	0.162383	+	0.986728i	$0.448082\pi$
$809$	−21.9960	+	38.0983i	−0.773340	+	1.33946i	−0.935723	+	0.352736i	$0.885251\pi$
$810$	−9.19375	−	24.9726i	−0.323036	−	0.877448i
$811$	16.5352	−	16.5352i	0.580631	−	0.580631i	−0.354446	−	0.935076i	$-0.615331\pi$
$811$	16.5352	−	16.5352i	0.580631	−	0.580631i	0.935076	+	0.354446i	$0.115331\pi$
$812$	22.6835	−	12.8920i	0.796035	−	0.452421i
$813$	42.0271	−	20.4831i	1.47395	−	0.718372i
$814$	51.5688	−	64.3155i	1.80749	−	2.25426i
$815$	−18.8353	+	32.6238i	−0.659773	+	1.14276i
$816$	−12.7147	−	1.99298i	−0.445103	−	0.0697682i
$817$	1.37020	+	2.37326i	0.0479374	+	0.0830300i
$818$	−8.12665	−	20.8685i	−0.284142	−	0.729651i
$819$	−20.9421	+	3.32614i	−0.731777	+	0.116225i
$820$	−1.78893	+	41.8790i	−0.0624721	+	1.46248i
$821$	−30.8809	−	8.27452i	−1.07775	−	0.288783i	−0.324077	−	0.946031i	$-0.605054\pi$
$821$	−30.8809	−	8.27452i	−1.07775	−	0.288783i	−0.753674	+	0.657248i	$0.771720\pi$
$822$	2.80626	−	0.871937i	0.0978797	−	0.0304123i
$823$	−22.6978	+	39.3137i	−0.791195	+	1.37039i	0.134032	+	0.990977i	$0.457207\pi$
$823$	−22.6978	+	39.3137i	−0.791195	+	1.37039i	−0.925227	+	0.379413i	$0.876126\pi$
$824$	−13.7218	+	0.918862i	−0.478022	+	0.0320101i
$825$	5.43313	+	1.87252i	0.189157	+	0.0651927i
$826$	−4.30658	−	5.44633i	−0.149845	−	0.189502i
$827$	−16.9569	−	16.9569i	−0.589650	−	0.589650i	0.347887	−	0.937537i	$-0.386899\pi$
$827$	−16.9569	−	16.9569i	−0.589650	−	0.589650i	−0.937537	+	0.347887i	$0.886899\pi$
$828$	12.4810	+	18.1456i	0.433746	+	0.630604i
$829$	5.41287	+	20.2011i	0.187997	+	0.701614i	0.993969	+	0.109661i	$0.0349764\pi$
$829$	5.41287	+	20.2011i	0.187997	+	0.701614i	−0.805972	+	0.591953i	$0.798357\pi$
$830$	47.9053	+	7.35022i	1.66282	+	0.255130i
$831$	−44.4385	+	8.62476i	−1.54156	+	0.299190i
$832$	21.1972	+	2.72971i	0.734881	+	0.0946355i
$833$	0.933084	+	12.9698i	0.0323294	+	0.449377i
$834$	−3.32114	+	0.131103i	−0.115002	+	0.00453972i
$835$	5.70549	−	21.2932i	0.197447	−	0.736881i
$836$	8.46599	−	1.88524i	0.292802	−	0.0652024i
$837$	−39.6940	−	35.8024i	−1.37202	−	1.23751i
$838$	−38.1140	+	4.19234i	−1.31663	+	0.144822i
$839$		−	17.4721i		−	0.603203i	−0.953434	−	0.301602i	$-0.902479\pi$
$839$		−	17.4721i		−	0.603203i	0.953434	−	0.301602i	$-0.0975212\pi$
$840$	25.9330	−	7.86525i	0.894775	−	0.271377i
$841$		−	4.68767i		−	0.161644i
$842$	−0.491545	−	4.46880i	−0.0169398	−	0.154005i
$843$	−0.100278	−	0.00704097i	−0.00345375	−	0.000242504i
$844$	−23.9121	+	37.6126i	−0.823087	+	1.29468i
$845$	−3.17262	+	11.8404i	−0.109141	+	0.407321i
$846$	−2.44503	+	8.12096i	−0.0840619	+	0.279204i
$847$	44.5634	−	1.60094i	1.53122	−	0.0550089i
$848$	8.85348	+	10.5109i	0.304030	+	0.360944i
$849$	−1.33352	−	6.87089i	−0.0457664	−	0.235808i
$850$	−0.250468	+	1.63243i	−0.00859097	+	0.0559919i
$851$	−10.4929	−	39.1599i	−0.359691	−	1.34238i
$852$	23.1018	−	3.46808i	0.791454	−	0.118815i
$853$	−16.6956	−	16.6956i	−0.571648	−	0.571648i	0.360941	−	0.932589i	$-0.382456\pi$
$853$	−16.6956	−	16.6956i	−0.571648	−	0.571648i	−0.932589	+	0.360941i	$0.882456\pi$
$854$	−2.61676	−	17.8620i	−0.0895438	−	0.611226i
$855$	−3.17541	+	4.05955i	−0.108597	+	0.138834i
$856$	14.7026	+	12.8571i	0.502526	+	0.439448i
$857$	−17.8983	+	31.0008i	−0.611396	+	1.05897i	0.379610	+	0.925147i	$0.376058\pi$
$857$	−17.8983	+	31.0008i	−0.611396	+	1.05897i	−0.991005	+	0.133822i	$0.957275\pi$
$858$	−32.9814	+	10.2477i	−1.12597	+	0.349850i
$859$	44.9521	+	12.0449i	1.53375	+	0.410966i	0.924239	−	0.381815i	$-0.124701\pi$
$859$	44.9521	+	12.0449i	1.53375	+	0.410966i	0.609507	+	0.792781i	$0.291367\pi$
$860$	9.43128	+	10.2730i	0.321604	+	0.350306i
$861$	38.9744	+	24.3151i	1.32824	+	0.828656i
$862$	47.7212	−	18.5837i	1.62539	−	0.632962i
$863$	−0.146507	−	0.253757i	−0.00498715	−	0.00863800i	0.863521	−	0.504313i	$-0.168254\pi$
$863$	−0.146507	−	0.253757i	−0.00498715	−	0.00863800i	−0.868508	+	0.495675i	$0.834921\pi$
$864$	26.4941	+	12.7304i	0.901348	+	0.433096i
$865$	5.57245	−	9.65177i	0.189469	−	0.328170i
$866$	−24.1787	−	19.3867i	−0.821624	−	0.658787i
$867$	−10.2817	−	21.0959i	−0.349183	−	0.716453i
$868$	38.7521	−	38.2300i	1.31533	−	1.29761i
$869$	30.4197	−	30.4197i	1.03192	−	1.03192i
$870$	−5.56850	+	24.6304i	−0.188790	+	0.835049i
$871$	14.3053	−	24.7775i	0.484717	−	0.839555i
$872$	19.6822	+	3.88611i	0.666524	+	0.131600i
$873$	21.8620	+	3.08528i	0.739918	+	0.104421i
$874$	1.71605	−	3.90502i	0.0580463	−	0.132089i
$875$	−9.13311	−	29.7663i	−0.308756	−	1.00628i
$876$	−6.69742	+	17.0352i	−0.226285	+	0.575565i
$877$	−8.54583	−	2.28985i	−0.288572	−	0.0773227i	0.111629	−	0.993750i	$-0.464393\pi$
$877$	−8.54583	−	2.28985i	−0.288572	−	0.0773227i	−0.400201	+	0.916427i	$0.631060\pi$
$878$	−1.00091	+	6.52346i	−0.0337791	+	0.220156i
$879$	−4.26433	+	3.70478i	−0.143832	+	0.124959i
$880$	39.9674	−	18.7289i	1.34730	−	0.631352i
$881$		−	47.0722i		−	1.58590i	−0.609285	−	0.792951i	$-0.708544\pi$
$881$		−	47.0722i		−	1.58590i	0.609285	−	0.792951i	$-0.291456\pi$
$882$	6.49921	−	28.9786i	0.218840	−	0.975761i
$883$	−2.40101	−	2.40101i	−0.0808004	−	0.0808004i	0.665552	−	0.746352i	$-0.268196\pi$
$883$	−2.40101	−	2.40101i	−0.0808004	−	0.0808004i	−0.746352	+	0.665552i	$0.768196\pi$
$884$	−4.59132	−	8.79957i	−0.154423	−	0.295962i
$885$	6.70349	+	0.470683i	0.225335	+	0.0158218i
$886$	39.9466	−	29.3190i	1.34203	−	0.984993i
$887$	17.7462	−	10.2458i	0.595860	−	0.344020i	−0.171551	−	0.985175i	$-0.554878\pi$
$887$	17.7462	−	10.2458i	0.595860	−	0.344020i	0.767411	+	0.641155i	$0.221544\pi$
$888$	−38.1366	−	38.3842i	−1.27978	−	1.28809i
$889$	−8.67429	+	16.3535i	−0.290926	+	0.548479i
$890$	−12.4909	+	28.4241i	−0.418696	+	0.952777i
$891$	−47.4912	−	0.883396i	−1.59101	−	0.0295949i
$892$	−15.7805	+	3.51406i	−0.528370	+	0.117659i
$893$	1.58660	−	0.425129i	0.0530937	−	0.0142264i
$894$	0.110691	+	0.175363i	0.00370206	+	0.00586500i
$895$		−	20.4827i		−	0.684662i
$896$	−14.5135	+	26.1793i	−0.484863	+	0.874590i
$897$	−5.53428	+	16.0578i	−0.184784	+	0.536153i
$898$	−31.4913	+	39.2752i	−1.05088	+	1.31063i
$899$	13.1285	+	48.9962i	0.437860	+	1.63412i
$900$	1.62262	−	3.40512i	0.0540872	−	0.113504i
$901$	1.65183	−	6.16470i	0.0550304	−	0.205376i
$902$	68.4975	+	30.1011i	2.28072	+	1.00226i
$903$	14.8890	−	3.44863i	0.495475	−	0.114763i
$904$	8.51053	+	4.18198i	0.283056	+	0.139091i
$905$	11.3405	+	19.6424i	0.376972	+	0.652935i
$906$	−11.7549	+	3.65238i	−0.390531	+	0.121342i
$907$	1.79602	+	6.70282i	0.0596357	+	0.222564i	0.989312	−	0.145814i	$-0.0465801\pi$
$907$	1.79602	+	6.70282i	0.0596357	+	0.222564i	−0.929676	+	0.368377i	$0.879913\pi$
$908$	34.3063	−	17.8999i	1.13850	−	0.594028i
$909$	1.08060	+	8.84269i	0.0358414	+	0.293293i
$910$	16.7640	+	12.4799i	0.555723	+	0.413703i
$911$	22.4437			0.743592			0.371796	−	0.928314i	$-0.378742\pi$
$911$	22.4437			0.743592			0.371796	+	0.928314i	$0.378742\pi$
$912$	−0.604119	−	5.66074i	−0.0200044	−	0.187446i
$913$	43.2544	−	74.9188i	1.43151	−	2.47945i
$914$	5.90542	+	0.906082i	0.195334	+	0.0299705i
$915$	14.4822	+	9.77444i	0.478768	+	0.323133i
$916$	15.5947	+	0.666153i	0.515264	+	0.0220103i
$917$	−21.8527	−	20.3371i	−0.721641	−	0.671589i
$918$	−2.18901	−	13.4740i	−0.0722481	−	0.444707i
$919$	−7.77160	−	13.4608i	−0.256361	−	0.444031i	0.708903	−	0.705306i	$-0.249190\pi$
$919$	−7.77160	−	13.4608i	−0.256361	−	0.444031i	−0.965264	+	0.261275i	$0.915857\pi$
$920$	4.20462	−	21.2954i	0.138622	−	0.702088i
$921$	−17.3689	−	19.9922i	−0.572326	−	0.658767i
$922$	−2.08081	−	18.9174i	−0.0685279	−	0.623011i
$923$	12.7391	+	12.7391i	0.419313	+	0.419313i
$924$	3.71514	−	48.2281i	0.122219	−	1.58659i
$925$	−4.90979	+	4.90979i	−0.161433	+	0.161433i
$926$	−31.8075	+	39.6696i	−1.04526	+	1.30363i
$927$	−5.45655	−	13.5277i	−0.179217	−	0.444310i
$928$	−14.5261	−	23.8115i	−0.476841	−	0.781651i
$929$	−27.3528	+	15.7921i	−0.897415	+	0.518123i	−0.876361	−	0.481656i	$-0.840036\pi$
$929$	−27.3528	+	15.7921i	−0.897415	+	0.518123i	−0.0210542	+	0.999778i	$0.506702\pi$
$930$	2.07814	+	52.6442i	0.0681450	+	1.72627i
$931$	−5.43474	+	1.88353i	−0.178116	+	0.0617303i
$932$	−16.2426	+	14.9118i	−0.532045	+	0.488453i
$933$	33.5090	+	22.6161i	1.09704	+	0.740417i
$934$	−7.72764	−	10.5288i	−0.252856	−	0.344511i
$935$	−17.7517	−	10.2489i	−0.580542	−	0.335176i
$936$	4.24698	+	22.2673i	0.138817	+	0.727829i
$937$			31.9535i			1.04388i	0.852984	+	0.521938i	$0.174791\pi$
$937$			31.9535i			1.04388i	−0.852984	+	0.521938i	$0.825209\pi$
$938$	24.8541	+	31.4319i	0.811517	+	1.02629i
$939$	−14.7976	+	7.21204i	−0.482902	+	0.235356i
$940$	7.41082	−	3.86671i	0.241714	−	0.126118i
$941$	−35.6531	+	9.55323i	−1.16226	+	0.311426i	−0.787868	−	0.615844i	$-0.788815\pi$
$941$	−35.6531	+	9.55323i	−1.16226	+	0.311426i	−0.374392	+	0.927271i	$0.622148\pi$
$942$	−12.8446	+	24.4246i	−0.418501	+	0.795796i
$943$	31.8657	−	18.3977i	1.03769	−	0.599110i
$944$	−5.67710	+	4.78192i	−0.184774	+	0.155638i
$945$	16.4899	+	23.5428i	0.536417	+	0.765849i
$946$	23.1955	−	9.03283i	0.754152	−	0.293683i
$947$	−3.51055	−	0.940648i	−0.114077	−	0.0305669i	0.201329	−	0.979524i	$-0.435474\pi$
$947$	−3.51055	−	0.940648i	−0.114077	−	0.0305669i	−0.315406	+	0.948957i	$0.602141\pi$
$948$	−17.5923	−	22.0868i	−0.571370	−	0.717344i
$949$	−13.6355	+	3.65361i	−0.442626	+	0.118601i
$950$	−0.726159	+	0.0798738i	−0.0235597	+	0.00259145i
$951$	−12.9800	+	37.6617i	−0.420906	+	1.22126i
$952$	13.8278	−	1.42615i	0.448161	−	0.0462218i
$953$	54.8328			1.77621			0.888105	−	0.459640i	$-0.152022\pi$
$953$	54.8328			1.77621			0.888105	+	0.459640i	$0.152022\pi$
$954$	−7.67154	+	12.3943i	−0.248375	+	0.401279i
$955$	10.4250	+	38.9065i	0.337344	+	1.25899i
$956$	0.872650	+	3.91878i	0.0282235	+	0.126742i
$957$	37.3603	+	25.2154i	1.20769	+	0.815098i
$958$	−40.4238	+	15.7419i	−1.30603	+	0.508598i
$959$	−2.69006	+	1.68469i	−0.0868667	+	0.0544015i
$960$	−9.26230	−	27.4501i	−0.298940	−	0.885947i
$961$	37.4153	+	64.8052i	1.20695	+	2.09049i
$962$	6.32849	−	41.2461i	0.204039	−	1.32983i
$963$	−8.10536	+	19.0647i	−0.261192	+	0.614350i
$964$	−48.4617	−	15.2297i	−1.56085	−	0.490516i
$965$	4.55631	−	4.55631i	0.146673	−	0.146673i
$966$	−18.0396	−	15.5066i	−0.580413	−	0.498916i
$967$	21.9150			0.704740			0.352370	−	0.935861i	$-0.385376\pi$
$967$	21.9150			0.704740			0.352370	+	0.935861i	$0.385376\pi$
$968$	−3.18509	−	47.5645i	−0.102373	−	1.52878i
$969$	−1.99580	+	1.73392i	−0.0641142	+	0.0557014i
$970$	−12.8756	−	17.5428i	−0.413411	−	0.563264i
$971$	0.654892	−	2.44409i	0.0210165	−	0.0784346i	−0.954621	−	0.297823i	$-0.903739\pi$
$971$	0.654892	−	2.44409i	0.0210165	−	0.0784346i	0.975638	+	0.219388i	$0.0704062\pi$
$972$	−4.08454	+	30.9082i	−0.131012	+	0.991381i
$973$	3.43211	−	1.05307i	0.110029	−	0.0337598i
$974$	−44.8328	+	17.4589i	−1.43654	+	0.559418i
$975$	2.85567	−	0.554238i	0.0914547	−	0.0177498i
$976$	−18.9996	+	3.38708i	−0.608162	+	0.108418i
$977$	32.3937	+	18.7025i	1.03637	+	0.598346i	0.918802	−	0.394720i	$-0.129158\pi$
$977$	32.3937	+	18.7025i	1.03637	+	0.598346i	0.117564	+	0.993065i	$0.462492\pi$
$978$	37.3209	−	23.5574i	1.19339	−	0.753282i
$979$	39.1864	+	39.1864i	1.25240	+	1.25240i
$980$	−24.9123	+	15.3675i	−0.795794	+	0.490897i
$981$	2.58118	+	21.1220i	0.0824107	+	0.674375i
$982$	−4.34923	−	39.5404i	−0.138790	−	1.26178i
$983$	−21.0838	−	12.1727i	−0.672468	−	0.388250i	0.124543	−	0.992214i	$-0.460253\pi$
$983$	−21.0838	−	12.1727i	−0.672468	−	0.388250i	−0.797011	+	0.603965i	$0.793587\pi$
$984$	24.6920	−	42.4499i	0.787151	−	1.35325i
$985$	−43.8505	+	25.3171i	−1.39719	+	0.806670i
$986$	−5.21136	+	11.8589i	−0.165963	+	0.377663i
$987$	0.313140	−	9.15523i	0.00996735	−	0.291414i
$988$	3.23413	−	2.96915i	0.102891	−	0.0944611i
$989$	3.16838	−	11.8246i	0.100749	−	0.375999i
$990$	32.0737	+	34.1023i	1.01937	+	1.08384i
$991$	8.27556	+	4.77790i	0.262882	+	0.151775i	0.625648	−	0.780105i	$-0.284834\pi$
$991$	8.27556	+	4.77790i	0.262882	+	0.151775i	−0.362767	+	0.931880i	$0.618168\pi$
$992$	−42.1322	−	40.1430i	−1.33770	−	1.27454i
$993$	−11.8041	−	4.06825i	−0.374591	−	0.129102i
$994$	−23.1686	+	9.99450i	−0.734863	+	0.317006i
$995$	4.42268	−	4.42268i	0.140208	−	0.140208i
$996$	−45.6662	−	33.7448i	−1.44699	−	1.06925i
$997$	11.5837	−	3.10385i	0.366860	−	0.0983000i	−0.0706791	−	0.997499i	$-0.522517\pi$
$997$	11.5837	−	3.10385i	0.366860	−	0.0983000i	0.437540	+	0.899199i	$0.355850\pi$
$998$	22.4886	−	16.5056i	0.711865	−	0.522477i
$999$	26.0988	−	51.1132i	0.825730	−	1.61715i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	336.2.bu.a.11.14	✓	240
3.2	odd	2	inner	336.2.bu.a.11.47	yes	240
7.2	even	3	inner	336.2.bu.a.107.28	yes	240
16.3	odd	4	inner	336.2.bu.a.179.33	yes	240
21.2	odd	6	inner	336.2.bu.a.107.33	yes	240
48.35	even	4	inner	336.2.bu.a.179.28	yes	240
112.51	odd	12	inner	336.2.bu.a.275.47	yes	240
336.275	even	12	inner	336.2.bu.a.275.14	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
336.2.bu.a.11.14	✓	240	1.1	even	1	trivial
336.2.bu.a.11.47	yes	240	3.2	odd	2	inner
336.2.bu.a.107.28	yes	240	7.2	even	3	inner
336.2.bu.a.107.33	yes	240	21.2	odd	6	inner
336.2.bu.a.179.28	yes	240	48.35	even	4	inner
336.2.bu.a.179.33	yes	240	16.3	odd	4	inner
336.2.bu.a.275.14	yes	240	336.275	even	12	inner
336.2.bu.a.275.47	yes	240	112.51	odd	12	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:	\( N \)	\(=\)	\( 336 = 2^{4} \cdot 3 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	336.bu (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.10334 - 0.884670i) q^{2} +(1.72780 + 0.121317i) q^{3} +(0.434720 + 1.95218i) q^{4} +(2.01953 + 0.541132i) q^{5} +(-1.79902 - 1.66238i) q^{6} +(2.33730 + 1.23976i) q^{7} +(1.24739 - 2.53851i) q^{8} +(2.97056 + 0.419221i) q^{9} +O(q^{10})\)	\(q+(-1.10334 - 0.884670i) q^{2} +(1.72780 + 0.121317i) q^{3} +(0.434720 + 1.95218i) q^{4} +(2.01953 + 0.541132i) q^{5} +(-1.79902 - 1.66238i) q^{6} +(2.33730 + 1.23976i) q^{7} +(1.24739 - 2.53851i) q^{8} +(2.97056 + 0.419221i) q^{9} +(-1.74951 - 2.38367i) q^{10} +(-5.09788 + 1.36597i) q^{11} +(0.514275 + 3.42571i) q^{12} +(-1.88906 + 1.88906i) q^{13} +(-1.48206 - 3.43562i) q^{14} +(3.42369 + 1.17997i) q^{15} +(-3.62204 + 1.69730i) q^{16} +(1.60874 + 0.928808i) q^{17} +(-2.90667 - 3.09051i) q^{18} +(-0.212671 + 0.793698i) q^{19} +(-0.178459 + 4.17774i) q^{20} +(3.88798 + 2.42561i) q^{21} +(6.83313 + 3.00281i) q^{22} +(3.17884 - 1.83530i) q^{23} +(2.46321 - 4.23469i) q^{24} +(-0.544437 - 0.314331i) q^{25} +(3.75546 - 0.413082i) q^{26} +(5.08167 + 1.08471i) q^{27} +(-1.40417 + 5.10179i) q^{28} +(-3.48657 - 3.48657i) q^{29} +(-2.73362 - 4.33075i) q^{30} +(-8.90915 - 5.14370i) q^{31} +(5.49789 + 1.33160i) q^{32} +(-8.97381 + 1.74166i) q^{33} +(-0.953302 - 2.44800i) q^{34} +(4.04939 + 3.76853i) q^{35} +(0.472966 + 5.98133i) q^{36} +(2.85862 - 10.6685i) q^{37} +(0.936809 - 0.687576i) q^{38} +(-3.49308 + 3.03473i) q^{39} +(3.89282 - 4.45159i) q^{40} +10.0243 q^{41} +(-2.14391 - 6.11585i) q^{42} +(2.35824 - 2.35824i) q^{43} +(-4.88278 - 9.35818i) q^{44} +(5.77230 + 2.45410i) q^{45} +(-5.13097 - 0.787257i) q^{46} +(-0.999501 - 1.73119i) q^{47} +(-6.46406 + 2.49318i) q^{48} +(3.92598 + 5.79540i) q^{49} +(0.322620 + 0.828460i) q^{50} +(2.66690 + 1.79996i) q^{51} +(-4.50900 - 2.86658i) q^{52} +(-0.889219 - 3.31861i) q^{53} +(-4.64721 - 5.69240i) q^{54} -11.0345 q^{55} +(6.06268 - 4.38679i) q^{56} +(-0.463741 + 1.34555i) q^{57} +(0.762411 + 6.93133i) q^{58} +(1.79244 - 0.480283i) q^{59} +(-0.815170 + 7.19664i) q^{60} +(4.66038 + 1.24875i) q^{61} +(5.27935 + 13.5569i) q^{62} +(6.42338 + 4.66264i) q^{63} +(-4.88802 - 6.33303i) q^{64} +(-4.83724 + 2.79278i) q^{65} +(11.4420 + 6.01721i) q^{66} +(-10.3445 + 2.77181i) q^{67} +(-1.11385 + 3.54433i) q^{68} +(5.71503 - 2.78538i) q^{69} +(-1.13395 - 7.74034i) q^{70} -6.74364i q^{71} +(4.76966 - 7.01786i) q^{72} +(4.57611 + 2.64202i) q^{73} +(-12.5922 + 9.24208i) q^{74} +(-0.902543 - 0.609149i) q^{75} +(-1.64190 - 0.0701362i) q^{76} +(-13.6088 - 3.12746i) q^{77} +(6.53879 - 0.258120i) q^{78} +(-7.05918 + 4.07562i) q^{79} +(-8.23329 + 1.46776i) q^{80} +(8.64851 + 2.49065i) q^{81} +(-11.0602 - 8.86821i) q^{82} +(-11.5904 + 11.5904i) q^{83} +(-3.04505 + 8.64452i) q^{84} +(2.74630 + 2.74630i) q^{85} +(-4.68821 + 0.515679i) q^{86} +(-5.60110 - 6.44706i) q^{87} +(-2.89153 + 14.6449i) q^{88} +(-5.25019 - 9.09360i) q^{89} +(-4.19774 - 7.81428i) q^{90} +(-6.75728 + 2.07332i) q^{91} +(4.96475 + 5.40783i) q^{92} +(-14.7692 - 9.96810i) q^{93} +(-0.428738 + 2.79432i) q^{94} +(-0.858991 + 1.48782i) q^{95} +(9.33770 + 2.96772i) q^{96} +7.35956 q^{97} +(0.795318 - 9.86750i) q^{98} +(-15.7162 + 1.92057i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 2 q^{3} - 4 q^{4} - 8 q^{6} - 16 q^{7}+O(q^{10}) \) 240 * q - 2 * q^3 - 4 * q^4 - 8 * q^6 - 16 * q^7	\( 240 q - 2 q^{3} - 4 q^{4} - 8 q^{6} - 16 q^{7} - 4 q^{10} - 2 q^{12} - 16 q^{13} - 20 q^{16} + 16 q^{18} - 4 q^{19} + 2 q^{21} - 40 q^{22} - 22 q^{24} - 8 q^{27} - 4 q^{28} - 26 q^{30} - 4 q^{33} + 16 q^{36} - 4 q^{37} - 4 q^{39} + 8 q^{40} - 18 q^{42} - 16 q^{43} + 18 q^{45} - 20 q^{46} - 88 q^{48} - 16 q^{49} + 6 q^{51} + 8 q^{52} + 14 q^{54} - 32 q^{55} - 36 q^{58} - 42 q^{60} - 4 q^{61} - 64 q^{64} - 30 q^{66} - 36 q^{67} - 20 q^{69} + 116 q^{70} - 46 q^{72} - 24 q^{75} - 112 q^{76} - 92 q^{78} - 4 q^{81} - 32 q^{82} + 44 q^{84} - 56 q^{85} - 4 q^{87} - 20 q^{88} + 28 q^{90} - 40 q^{91} - 14 q^{93} + 72 q^{94} + 36 q^{96} - 32 q^{97} + 28 q^{99}+O(q^{100}) \) 240 * q - 2 * q^3 - 4 * q^4 - 8 * q^6 - 16 * q^7 - 4 * q^10 - 2 * q^12 - 16 * q^13 - 20 * q^16 + 16 * q^18 - 4 * q^19 + 2 * q^21 - 40 * q^22 - 22 * q^24 - 8 * q^27 - 4 * q^28 - 26 * q^30 - 4 * q^33 + 16 * q^36 - 4 * q^37 - 4 * q^39 + 8 * q^40 - 18 * q^42 - 16 * q^43 + 18 * q^45 - 20 * q^46 - 88 * q^48 - 16 * q^49 + 6 * q^51 + 8 * q^52 + 14 * q^54 - 32 * q^55 - 36 * q^58 - 42 * q^60 - 4 * q^61 - 64 * q^64 - 30 * q^66 - 36 * q^67 - 20 * q^69 + 116 * q^70 - 46 * q^72 - 24 * q^75 - 112 * q^76 - 92 * q^78 - 4 * q^81 - 32 * q^82 + 44 * q^84 - 56 * q^85 - 4 * q^87 - 20 * q^88 + 28 * q^90 - 40 * q^91 - 14 * q^93 + 72 * q^94 + 36 * q^96 - 32 * q^97 + 28 * q^99

Introduction

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