LMFDB - Embedded newform 336.2.bo.a.173.59

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [336,2,Mod(5,336)]

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([0, 3, 6, 10]))

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

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

chi := DirichletCharacter("336.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 336 = 2^{4} \cdot 3 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	336.bo (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			173.59
Character	$\chi$	$=$	336.173
Dual form			336.2.bo.a.101.59

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.40813 - 0.131081i) q^{2} +(1.11529 - 1.32519i) q^{3} +(1.96564 - 0.369157i) q^{4} +(-0.260739 - 0.973091i) q^{5} +(1.39676 - 2.01222i) q^{6} +(-2.63379 + 0.251347i) q^{7} +(2.71947 - 0.777477i) q^{8} +(-0.512247 - 2.95594i) q^{9} +O(q^{10})$	\(q+(1.40813 - 0.131081i) q^{2} +(1.11529 - 1.32519i) q^{3} +(1.96564 - 0.369157i) q^{4} +(-0.260739 - 0.973091i) q^{5} +(1.39676 - 2.01222i) q^{6} +(-2.63379 + 0.251347i) q^{7} +(2.71947 - 0.777477i) q^{8} +(-0.512247 - 2.95594i) q^{9} +(-0.494707 - 1.33606i) q^{10} +(0.123344 - 0.460328i) q^{11} +(1.70306 - 3.01655i) q^{12} +(-2.21214 + 2.21214i) q^{13} +(-3.67575 + 0.699167i) q^{14} +(-1.58033 - 0.739753i) q^{15} +(3.72745 - 1.45126i) q^{16} +(2.95540 + 5.11890i) q^{17} +(-1.10878 - 4.09519i) q^{18} +(1.66893 + 6.22852i) q^{19} +(-0.871741 - 1.81649i) q^{20} +(-2.60436 + 3.77059i) q^{21} +(0.113344 - 0.664367i) q^{22} +(0.412407 - 0.714309i) q^{23} +(2.00270 - 4.47093i) q^{24} +(3.45121 - 1.99255i) q^{25} +(-2.82501 + 3.40495i) q^{26} +(-4.48849 - 2.61792i) q^{27} +(-5.08428 + 1.46634i) q^{28} +(1.21861 - 1.21861i) q^{29} +(-2.32227 - 0.834514i) q^{30} +(-5.94245 + 3.43087i) q^{31} +(5.05848 - 2.53215i) q^{32} +(-0.472455 - 0.676854i) q^{33} +(4.83256 + 6.82065i) q^{34} +(0.931314 + 2.49738i) q^{35} +(-2.09810 - 5.62121i) q^{36} +(-0.872306 - 3.25549i) q^{37} +(3.16650 + 8.55177i) q^{38} +(0.464320 + 5.39869i) q^{39} +(-1.46563 - 2.44358i) q^{40} -2.00549i q^{41} +(-3.17301 + 5.65084i) q^{42} +(-5.59606 + 5.59606i) q^{43} +(0.0725171 - 0.950370i) q^{44} +(-2.74284 + 1.26919i) q^{45} +(0.487088 - 1.05990i) q^{46} +(5.11990 - 8.86792i) q^{47} +(2.23401 - 6.55814i) q^{48} +(6.87365 - 1.32399i) q^{49} +(4.59854 - 3.25815i) q^{50} +(10.0796 + 1.79261i) q^{51} +(-3.53164 + 5.16490i) q^{52} +(-1.25587 + 4.68695i) q^{53} +(-6.66351 - 3.09800i) q^{54} -0.480101 q^{55} +(-6.96709 + 2.73124i) q^{56} +(10.1153 + 4.73498i) q^{57} +(1.55622 - 1.87570i) q^{58} +(-12.9156 - 3.46073i) q^{59} +(-3.37944 - 0.870695i) q^{60} +(0.511505 + 1.90896i) q^{61} +(-7.91799 + 5.61004i) q^{62} +(2.09211 + 7.65657i) q^{63} +(6.79106 - 4.22865i) q^{64} +(2.72941 + 1.57583i) q^{65} +(-0.753999 - 0.891166i) q^{66} +(3.00539 - 11.2163i) q^{67} +(7.69891 + 8.97088i) q^{68} +(-0.486640 - 1.34318i) q^{69} +(1.63877 + 3.39454i) q^{70} -8.11135 q^{71} +(-3.69122 - 7.64035i) q^{72} +(2.26497 + 3.92304i) q^{73} +(-1.65505 - 4.46980i) q^{74} +(1.20859 - 6.79578i) q^{75} +(5.57980 + 11.6269i) q^{76} +(-0.209161 + 1.24341i) q^{77} +(1.36149 + 7.54118i) q^{78} +(-8.39356 + 14.5381i) q^{79} +(-2.38409 - 3.24875i) q^{80} +(-8.47521 + 3.02834i) q^{81} +(-0.262881 - 2.82398i) q^{82} +(-9.39095 - 9.39095i) q^{83} +(-3.72728 + 8.37301i) q^{84} +(4.21057 - 4.21057i) q^{85} +(-7.14642 + 8.61349i) q^{86} +(-0.255782 - 2.97400i) q^{87} +(-0.0224622 - 1.34775i) q^{88} +(5.39719 + 3.11607i) q^{89} +(-3.69590 + 2.14672i) q^{90} +(5.27030 - 6.38233i) q^{91} +(0.546949 - 1.55631i) q^{92} +(-2.08101 + 11.7013i) q^{93} +(6.04704 - 13.1583i) q^{94} +(5.62576 - 3.24804i) q^{95} +(2.28611 - 9.52752i) q^{96} +5.65989i q^{97} +(9.50541 - 2.76534i) q^{98} +(-1.42389 - 0.128798i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 6 q^{3} - 4 q^{4}+O(q^{10}) $ 240 * q - 6 * q^3 - 4 * q^4	$ 240 q - 6 q^{3} - 4 q^{4} - 12 q^{10} - 6 q^{12} - 16 q^{15} - 20 q^{16} - 4 q^{18} - 12 q^{19} + 2 q^{21} - 40 q^{22} - 6 q^{24} - 12 q^{28} + 22 q^{30} - 24 q^{31} - 12 q^{33} - 64 q^{36} - 4 q^{37} + 48 q^{40} - 18 q^{42} - 16 q^{43} - 6 q^{45} + 12 q^{46} - 16 q^{49} - 10 q^{51} - 48 q^{52} - 90 q^{54} - 4 q^{58} - 18 q^{60} - 12 q^{61} - 36 q^{63} + 32 q^{64} - 66 q^{66} - 36 q^{67} - 76 q^{70} - 46 q^{72} + 24 q^{75} - 76 q^{78} - 8 q^{79} - 4 q^{81} + 72 q^{82} - 24 q^{84} + 24 q^{85} + 12 q^{88} - 88 q^{91} - 14 q^{93} + 24 q^{94} + 96 q^{96} + 28 q^{99}+O(q^{100}) $ 240 * q - 6 * q^3 - 4 * q^4 - 12 * q^10 - 6 * q^12 - 16 * q^15 - 20 * q^16 - 4 * q^18 - 12 * q^19 + 2 * q^21 - 40 * q^22 - 6 * q^24 - 12 * q^28 + 22 * q^30 - 24 * q^31 - 12 * q^33 - 64 * q^36 - 4 * q^37 + 48 * q^40 - 18 * q^42 - 16 * q^43 - 6 * q^45 + 12 * q^46 - 16 * q^49 - 10 * q^51 - 48 * q^52 - 90 * q^54 - 4 * q^58 - 18 * q^60 - 12 * q^61 - 36 * q^63 + 32 * q^64 - 66 * q^66 - 36 * q^67 - 76 * q^70 - 46 * q^72 + 24 * q^75 - 76 * q^78 - 8 * q^79 - 4 * q^81 + 72 * q^82 - 24 * q^84 + 24 * q^85 + 12 * q^88 - 88 * q^91 - 14 * q^93 + 24 * q^94 + 96 * q^96 + 28 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$85$	$113$	$127$	$241$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$-1$	$1$	$e\left(\frac{5}{6}\right)$

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 $

$2$	1.40813	−	0.131081i	0.995695	−	0.0926882i
$2$	1.40813	−	0.131081i	0.995695	−	0.0926882i
$3$	1.11529	−	1.32519i	0.643914	−	0.765098i
$3$	1.11529	−	1.32519i	0.643914	−	0.765098i
$4$	1.96564	−	0.369157i	0.982818	−	0.184578i
$5$	−0.260739	−	0.973091i	−0.116606	−	0.435180i	0.882796	−	0.469757i	$-0.155658\pi$
$5$	−0.260739	−	0.973091i	−0.116606	−	0.435180i	−0.999402	+	0.0345769i	$0.988992\pi$
$6$	1.39676	−	2.01222i	0.570227	−	0.821487i
$7$	−2.63379	+	0.251347i	−0.995477	+	0.0950002i
$7$	−2.63379	+	0.251347i	−0.995477	+	0.0950002i
$8$	2.71947	−	0.777477i	0.961479	−	0.274879i
$9$	−0.512247	−	2.95594i	−0.170749	−	0.985315i
$10$	−0.494707	−	1.33606i	−0.156440	−	0.422498i
$11$	0.123344	−	0.460328i	0.0371897	−	0.138794i	−0.944835	−	0.327547i	$-0.893778\pi$
$11$	0.123344	−	0.460328i	0.0371897	−	0.138794i	0.982025	+	0.188753i	$0.0604446\pi$
$12$	1.70306	−	3.01655i	0.491630	−	0.870804i
$13$	−2.21214	+	2.21214i	−0.613538	+	0.613538i	−0.943866	−	0.330328i	$-0.892841\pi$
$13$	−2.21214	+	2.21214i	−0.613538	+	0.613538i	0.330328	+	0.943866i	$0.392841\pi$
$14$	−3.67575	+	0.699167i	−0.982387	+	0.186860i
$15$	−1.58033	−	0.739753i	−0.408039	−	0.191003i
$16$	3.72745	−	1.45126i	0.931862	−	0.362814i
$17$	2.95540	+	5.11890i	0.716789	+	1.24151i	0.962266	+	0.272112i	$0.0877222\pi$
$17$	2.95540	+	5.11890i	0.716789	+	1.24151i	−0.245477	+	0.969402i	$0.578945\pi$
$18$	−1.10878	−	4.09519i	−0.261341	−	0.965247i
$19$	1.66893	+	6.22852i	0.382878	+	1.42892i	0.841485	+	0.540281i	$0.181682\pi$
$19$	1.66893	+	6.22852i	0.382878	+	1.42892i	−0.458607	+	0.888639i	$0.651651\pi$
$20$	−0.871741	−	1.81649i	−0.194927	−	0.406179i
$21$	−2.60436	+	3.77059i	−0.568318	+	0.822809i
$22$	0.113344	−	0.664367i	0.0241651	−	0.141644i
$23$	0.412407	−	0.714309i	0.0859927	−	0.148944i	−0.819821	−	0.572620i	$-0.805927\pi$
$23$	0.412407	−	0.714309i	0.0859927	−	0.148944i	0.905814	+	0.423676i	$0.139260\pi$
$24$	2.00270	−	4.47093i	0.408800	−	0.912624i
$25$	3.45121	−	1.99255i	0.690241	−	0.398511i
$26$	−2.82501	+	3.40495i	−0.554029	+	0.667765i
$27$	−4.48849	−	2.61792i	−0.863809	−	0.503819i
$28$	−5.08428	+	1.46634i	−0.960838	+	0.277111i
$29$	1.21861	−	1.21861i	0.226291	−	0.226291i	−0.584850	−	0.811141i	$-0.698847\pi$
$29$	1.21861	−	1.21861i	0.226291	−	0.226291i	0.811141	+	0.584850i	$0.198847\pi$
$30$	−2.32227	−	0.834514i	−0.423986	−	0.152361i
$31$	−5.94245	+	3.43087i	−1.06730	+	0.616203i	−0.927441	−	0.373969i	$-0.877997\pi$
$31$	−5.94245	+	3.43087i	−1.06730	+	0.616203i	−0.139854	+	0.990172i	$0.544663\pi$
$32$	5.05848	−	2.53215i	0.894222	−	0.447625i
$33$	−0.472455	−	0.676854i	−0.0822439	−	0.117825i
$34$	4.83256	+	6.82065i	0.828777	+	1.16973i
$35$	0.931314	+	2.49738i	0.157421	+	0.422134i
$36$	−2.09810	−	5.62121i	−0.349683	−	0.936868i
$37$	−0.872306	−	3.25549i	−0.143406	−	0.535199i	−0.999821	−	0.0189111i	$-0.993980\pi$
$37$	−0.872306	−	3.25549i	−0.143406	−	0.535199i	0.856415	−	0.516288i	$-0.172687\pi$
$38$	3.16650	+	8.55177i	0.513674	+	1.38728i
$39$	0.464320	+	5.39869i	0.0743507	+	0.864483i
$40$	−1.46563	−	2.44358i	−0.231736	−	0.386363i
$41$		−	2.00549i		−	0.313204i	−0.987662	−	0.156602i	$-0.949946\pi$
$41$		−	2.00549i		−	0.313204i	0.987662	−	0.156602i	$-0.0500540\pi$
$42$	−3.17301	+	5.65084i	−0.489606	+	0.871944i
$43$	−5.59606	+	5.59606i	−0.853391	+	0.853391i	−0.990549	−	0.137158i	$-0.956203\pi$
$43$	−5.59606	+	5.59606i	−0.853391	+	0.853391i	0.137158	+	0.990549i	$0.456203\pi$
$44$	0.0725171	−	0.950370i	0.0109324	−	0.143274i
$45$	−2.74284	+	1.26919i	−0.408878	+	0.189200i
$46$	0.487088	−	1.05990i	0.0718172	−	0.156273i
$47$	5.11990	−	8.86792i	0.746814	−	1.29352i	−0.202529	−	0.979276i	$-0.564916\pi$
$47$	5.11990	−	8.86792i	0.746814	−	1.29352i	0.949342	−	0.314243i	$-0.101751\pi$
$48$	2.23401	−	6.55814i	0.322451	−	0.946586i
$49$	6.87365	−	1.32399i	0.981950	−	0.189141i
$50$	4.59854	−	3.25815i	0.650332	−	0.460773i
$51$	10.0796	+	1.79261i	1.41143	+	0.251016i
$52$	−3.53164	+	5.16490i	−0.489750	+	0.716242i
$53$	−1.25587	+	4.68695i	−0.172506	+	0.643802i	0.824457	+	0.565925i	$0.191481\pi$
$53$	−1.25587	+	4.68695i	−0.172506	+	0.643802i	−0.996963	+	0.0778772i	$0.975186\pi$
$54$	−6.66351	−	3.09800i	−0.906789	−	0.421585i
$55$	−0.480101			−0.0647369
$56$	−6.96709	+	2.73124i	−0.931017	+	0.364977i
$57$	10.1153	+	4.73498i	1.33980	+	0.627163i
$58$	1.55622	−	1.87570i	0.204342	−	0.246291i
$59$	−12.9156	−	3.46073i	−1.68147	−	0.450549i	−0.713304	−	0.700855i	$-0.752802\pi$
$59$	−12.9156	−	3.46073i	−1.68147	−	0.450549i	−0.968167	+	0.250306i	$0.919469\pi$
$60$	−3.37944	−	0.870695i	−0.436283	−	0.112406i
$61$	0.511505	+	1.90896i	0.0654915	+	0.244418i	0.990909	−	0.134530i	$-0.0429526\pi$
$61$	0.511505	+	1.90896i	0.0654915	+	0.244418i	−0.925418	+	0.378948i	$0.876286\pi$
$62$	−7.91799	+	5.61004i	−1.00559	+	0.712476i
$63$	2.09211	+	7.65657i	0.263582	+	0.964637i
$64$	6.79106	−	4.22865i	0.848883	−	0.528581i
$65$	2.72941	+	1.57583i	0.338542	+	0.195457i
$66$	−0.753999	−	0.891166i	−0.0928109	−	0.109695i
$67$	3.00539	−	11.2163i	0.367167	−	1.37029i	−0.497293	−	0.867583i	$-0.665672\pi$
$67$	3.00539	−	11.2163i	0.367167	−	1.37029i	0.864460	−	0.502702i	$-0.167661\pi$
$68$	7.69891	+	8.97088i	0.933630	+	1.08788i
$69$	−0.486640	−	1.34318i	−0.0585846	−	0.161700i
$70$	1.63877	+	3.39454i	0.195870	+	0.405726i
$71$	−8.11135			−0.962641			−0.481320	−	0.876545i	$-0.659843\pi$
$71$	−8.11135			−0.962641			−0.481320	+	0.876545i	$0.659843\pi$
$72$	−3.69122	−	7.64035i	−0.435014	−	0.900424i
$73$	2.26497	+	3.92304i	0.265094	+	0.459157i	0.967588	−	0.252533i	$-0.0812635\pi$
$73$	2.26497	+	3.92304i	0.265094	+	0.459157i	−0.702494	+	0.711690i	$0.747930\pi$
$74$	−1.65505	−	4.46980i	−0.192396	−	0.519603i
$75$	1.20859	−	6.79578i	0.139556	−	0.784709i
$76$	5.57980	+	11.6269i	0.640047	+	1.33370i
$77$	−0.209161	+	1.24341i	−0.0238361	+	0.141699i
$78$	1.36149	+	7.54118i	0.154158	+	0.853870i
$79$	−8.39356	+	14.5381i	−0.944350	+	1.63566i	−0.187302	+	0.982302i	$0.559974\pi$
$79$	−8.39356	+	14.5381i	−0.944350	+	1.63566i	−0.757048	+	0.653359i	$0.773359\pi$
$80$	−2.38409	−	3.24875i	−0.266550	−	0.363221i
$81$	−8.47521	+	3.02834i	−0.941690	+	0.336483i
$82$	−0.262881	−	2.82398i	−0.0290303	−	0.311856i
$83$	−9.39095	−	9.39095i	−1.03079	−	1.03079i	−0.999511	−	0.0312797i	$-0.990042\pi$
$83$	−9.39095	−	9.39095i	−1.03079	−	1.03079i	−0.0312797	−	0.999511i	$-0.509958\pi$
$84$	−3.72728	+	8.37301i	−0.406680	+	0.913571i
$85$	4.21057	−	4.21057i	0.456700	−	0.456700i
$86$	−7.14642	+	8.61349i	−0.770618	+	0.928817i
$87$	−0.255782	−	2.97400i	−0.0274227	−	0.318846i
$88$	−0.0224622	−	1.34775i	−0.00239448	−	0.143670i
$89$	5.39719	+	3.11607i	0.572101	+	0.330303i	0.757988	−	0.652268i	$-0.226182\pi$
$89$	5.39719	+	3.11607i	0.572101	+	0.330303i	−0.185887	+	0.982571i	$0.559516\pi$
$90$	−3.69590	+	2.14672i	−0.389582	+	0.226284i
$91$	5.27030	−	6.38233i	0.552477	−	0.669050i
$92$	0.546949	−	1.55631i	0.0570234	−	0.162257i
$93$	−2.08101	+	11.7013i	−0.215791	+	1.21337i
$94$	6.04704	−	13.1583i	0.623705	−	1.35717i
$95$	5.62576	−	3.24804i	0.577191	−	0.333241i
$96$	2.28611	−	9.52752i	0.233325	−	0.972399i
$97$			5.65989i			0.574675i	0.957829	+	0.287338i	$0.0927702\pi$
$97$			5.65989i			0.574675i	−0.957829	+	0.287338i	$0.907230\pi$
$98$	9.50541	−	2.76534i	0.960192	−	0.279342i
$99$	−1.42389	−	0.128798i	−0.143106	−	0.0129447i
$100$	6.04825	−	5.19067i	0.604825	−	0.519067i
$101$	−6.57995	−	1.76309i	−0.654730	−	0.175434i	−0.0838632	−	0.996477i	$-0.526726\pi$
$101$	−6.57995	−	1.76309i	−0.654730	−	0.175434i	−0.570866	+	0.821043i	$0.693393\pi$
$102$	14.4284	+	1.20297i	1.42862	+	0.119112i
$103$	1.40822	−	2.43911i	0.138756	−	0.240332i	−0.788270	−	0.615330i	$-0.789023\pi$
$103$	1.40822	−	2.43911i	0.138756	−	0.240332i	0.927026	+	0.374997i	$0.122356\pi$
$104$	−4.29597	+	7.73575i	−0.421255	+	0.758553i
$105$	4.34818	+	1.55114i	0.424339	+	0.151376i
$106$	−1.15405	+	6.76444i	−0.112091	+	0.657020i
$107$	−2.61982	+	0.701980i	−0.253268	+	0.0678630i	−0.383219	−	0.923657i	$-0.625185\pi$
$107$	−2.61982	+	0.701980i	−0.253268	+	0.0678630i	0.129951	+	0.991520i	$0.458518\pi$
$108$	−9.78915	−	3.48892i	−0.941961	−	0.335721i
$109$	0.194380	−	0.725438i	0.0186183	−	0.0694843i	−0.955992	−	0.293394i	$-0.905215\pi$
$109$	0.194380	−	0.725438i	0.0186183	−	0.0694843i	0.974610	+	0.223909i	$0.0718820\pi$
$110$	−0.676043	+	0.0629321i	−0.0644582	+	0.00600034i
$111$	−5.28701	−	2.47485i	−0.501821	−	0.234903i
$112$	−9.45253	+	4.75918i	−0.893180	+	0.449700i
$113$		−	9.77351i		−	0.919415i	−0.888070	−	0.459707i	$-0.847954\pi$
$113$		−	9.77351i		−	0.919415i	0.888070	−	0.459707i	$-0.152046\pi$
$114$	14.8643	+	5.34152i	1.39217	+	0.500279i
$115$	−0.802619	−	0.215061i	−0.0748446	−	0.0200545i
$116$	1.94549	−	2.84521i	0.180634	−	0.264171i
$117$	7.67214	+	5.40581i	0.709289	+	0.499767i
$118$	−18.6405	−	3.18015i	−1.71599	−	0.292757i
$119$	−9.07050	−	12.7392i	−0.831491	−	1.16780i
$120$	−4.87280	−	0.783069i	−0.444824	−	0.0714841i
$121$	9.32959	+	5.38644i	0.848145	+	0.489677i
$122$	0.970492	+	2.62101i	0.0878643	+	0.237295i
$123$	−2.65765	−	2.23670i	−0.239632	−	0.201677i
$124$	−10.4142	+	8.93754i	−0.935219	+	0.802615i
$125$	−6.40056	−	6.40056i	−0.572484	−	0.572484i
$126$	3.94959	+	10.5072i	0.351857	+	0.936054i
$127$	−1.94017			−0.172163			−0.0860813	−	0.996288i	$-0.527434\pi$
$127$	−1.94017			−0.172163			−0.0860813	+	0.996288i	$0.527434\pi$
$128$	9.00837	−	6.84465i	0.796235	−	0.604987i
$129$	1.17459	+	13.6571i	0.103417	+	1.20244i
$130$	4.04991	+	1.86119i	0.355201	+	0.163237i
$131$	−0.828046	+	0.221874i	−0.0723468	+	0.0193853i	−0.294811	−	0.955556i	$-0.595257\pi$
$131$	−0.828046	+	0.221874i	−0.0723468	+	0.0193853i	0.222464	+	0.974941i	$0.428590\pi$
$132$	−1.17854	−	1.15604i	−0.102579	−	0.100620i
$133$	−5.96111	−	15.9851i	−0.516894	−	1.38608i
$134$	2.76173	−	16.1879i	0.238577	−	1.39842i
$135$	−1.37715	+	5.05030i	−0.118526	+	0.434661i
$136$	12.0169	+	11.6229i	1.03044	+	0.996659i
$137$	−3.35050	−	5.80323i	−0.286252	−	0.495803i	0.686660	−	0.726979i	$-0.259076\pi$
$137$	−3.35050	−	5.80323i	−0.286252	−	0.495803i	−0.972912	+	0.231175i	$0.925743\pi$
$138$	−0.861316	−	1.82758i	−0.0733201	−	0.155574i
$139$	0.383579	+	0.383579i	0.0325348	+	0.0325348i	0.723187	−	0.690652i	$-0.242676\pi$
$139$	0.383579	+	0.383579i	0.0325348	+	0.0325348i	−0.690652	+	0.723187i	$0.742676\pi$
$140$	2.75255	+	4.56513i	0.232633	+	0.385824i
$141$	−6.04148	−	16.6752i	−0.508785	−	1.40430i
$142$	−11.4218	+	1.06324i	−0.958497	+	0.0892254i
$143$	0.745455	+	1.29117i	0.0623381	+	0.107973i
$144$	−6.19920	−	10.2747i	−0.516600	−	0.856227i
$145$	−1.50356	−	0.868082i	−0.124864	−	0.0720902i
$146$	3.70360	+	5.22724i	0.306512	+	0.432609i
$147$	5.91160	−	10.5855i	0.487580	−	0.873078i
$148$	−2.91642	−	6.07709i	−0.239728	−	0.499534i
$149$	18.8439	−	5.04922i	1.54375	−	0.413648i	0.616278	−	0.787529i	$-0.288640\pi$
$149$	18.8439	−	5.04922i	1.54375	−	0.413648i	0.927477	+	0.373881i	$0.121973\pi$
$150$	0.811055	−	9.72773i	0.0662223	−	0.794266i
$151$	7.10646	−	4.10292i	0.578316	−	0.333891i	−0.182148	−	0.983271i	$-0.558305\pi$
$151$	7.10646	−	4.10292i	0.578316	−	0.333891i	0.760464	+	0.649380i	$0.224972\pi$
$152$	9.38113	+	15.6407i	0.760910	+	1.26863i
$153$	13.6173	−	11.3581i	1.10089	−	0.918250i
$154$	−0.131538	+	1.77829i	−0.0105996	+	0.143299i
$155$	4.88798	+	4.88798i	0.392612	+	0.392612i
$156$	2.90565	+	10.4405i	0.232638	+	0.835906i
$157$	5.46554	+	1.46449i	0.436198	+	0.116879i	0.470234	−	0.882542i	$-0.344169\pi$
$157$	5.46554	+	1.46449i	0.436198	+	0.116879i	−0.0340362	+	0.999421i	$0.510836\pi$
$158$	−9.91353	+	21.5717i	−0.788678	+	1.71615i
$159$	4.81044	+	6.89158i	0.381492	+	0.546538i
$160$	−3.78295	−	4.26213i	−0.299069	−	0.336951i
$161$	−0.906651	+	1.98499i	−0.0714541	+	0.156439i
$162$	−11.5372	+	5.37523i	−0.906448	+	0.422318i
$163$	7.72602	−	2.07018i	0.605149	−	0.162149i	0.0567813	−	0.998387i	$-0.481916\pi$
$163$	7.72602	−	2.07018i	0.605149	−	0.162149i	0.548367	+	0.836238i	$0.315250\pi$
$164$	−0.740339	−	3.94205i	−0.0578107	−	0.307823i
$165$	−0.535453	+	0.636225i	−0.0416850	+	0.0495300i
$166$	−14.4546	−	11.9927i	−1.12190	−	0.930811i
$167$			0.964459i			0.0746321i	0.999304	+	0.0373160i	$0.0118808\pi$
$167$			0.964459i			0.0746321i	−0.999304	+	0.0373160i	$0.988119\pi$
$168$	−4.15094	+	12.2788i	−0.320252	+	0.947332i
$169$			3.21284i			0.247141i
$170$	5.37708	−	6.48093i	0.412403	−	0.497065i
$171$	17.5562	−	8.12379i	1.34256	−	0.621242i
$172$	−8.93399	+	13.0656i	−0.681211	+	0.996246i
$173$	−0.703747	+	0.188568i	−0.0535049	+	0.0143366i	−0.285472	−	0.958387i	$-0.592150\pi$
$173$	−0.703747	+	0.188568i	−0.0535049	+	0.0143366i	0.231967	+	0.972724i	$0.425484\pi$
$174$	−0.750008	−	4.15424i	−0.0568579	−	0.314932i
$175$	−8.58891	+	6.11541i	−0.649261	+	0.462282i
$176$	−0.208293	−	1.89485i	−0.0157007	−	0.142830i
$177$	−18.9908	+	13.2559i	−1.42744	+	0.996375i
$178$	8.00838	+	3.68035i	0.600254	+	0.275854i
$179$	9.63854	+	2.58264i	0.720418	+	0.193036i	0.600358	−	0.799731i	$-0.295025\pi$
$179$	9.63854	+	2.58264i	0.720418	+	0.193036i	0.120060	+	0.992767i	$0.461691\pi$
$180$	−4.92289	+	3.50731i	−0.366931	+	0.261419i
$181$	−11.5363	−	11.5363i	−0.857489	−	0.857489i	0.133552	−	0.991042i	$-0.457362\pi$
$181$	−11.5363	−	11.5363i	−0.857489	−	0.857489i	−0.991042	+	0.133552i	$0.957362\pi$
$182$	6.58464	−	9.67795i	0.488086	−	0.717378i
$183$	3.10021	+	1.45121i	0.229174	+	0.107277i
$184$	0.566170	−	2.26318i	0.0417386	−	0.166844i
$185$	−2.94044	+	1.69767i	−0.216186	+	0.124815i
$186$	−1.39651	+	16.7497i	−0.102397	+	1.22815i
$187$	2.72090	−	0.729063i	0.198972	−	0.0533144i
$188$	6.79020	−	19.3212i	0.495226	−	1.40914i
$189$	12.4797	+	5.76687i	0.907766	+	0.419478i
$190$	7.49602	−	5.31107i	0.543819	−	0.385306i
$191$	22.1948	+	12.8142i	1.60596	+	0.927202i	0.990261	+	0.139220i	$0.0444597\pi$
$191$	22.1948	+	12.8142i	1.60596	+	0.927202i	0.615699	+	0.787981i	$0.288874\pi$
$192$	1.97026	−	13.7156i	0.142191	−	0.989839i
$193$	−6.87997	−	11.9165i	−0.495231	−	0.857765i	0.504754	−	0.863263i	$-0.331583\pi$
$193$	−6.87997	−	11.9165i	−0.495231	−	0.857765i	−0.999985	+	0.00549810i	$0.998250\pi$
$194$	0.741904	+	7.96984i	0.0532656	+	0.572201i
$195$	5.13236	−	1.85948i	0.367536	−	0.133160i
$196$	13.0223	−	5.13993i	0.930167	−	0.367138i
$197$	−10.3666	−	10.3666i	−0.738587	−	0.738587i	0.233717	−	0.972305i	$-0.424911\pi$
$197$	−10.3666	−	10.3666i	−0.738587	−	0.738587i	−0.972305	+	0.233717i	$0.924911\pi$
$198$	−2.02189	+	0.00528055i	−0.143690	+	0.000375272i
$199$	4.90370	+	8.49346i	0.347614	+	0.602086i	0.985825	−	0.167776i	$-0.0536586\pi$
$199$	4.90370	+	8.49346i	0.347614	+	0.602086i	−0.638211	+	0.769862i	$0.720325\pi$
$200$	7.83629	−	8.10193i	0.554110	−	0.572893i
$201$	−11.5118	−	16.4921i	−0.811978	−	1.16326i
$202$	−9.49650	−	1.62015i	−0.668172	−	0.113993i
$203$	−2.90327	+	3.51586i	−0.203770	+	0.246765i
$204$	20.4746	−	0.197347i	1.43351	−	0.0138171i
$205$	−1.95152	+	0.522908i	−0.136300	+	0.0365215i
$206$	1.66323	−	3.61916i	0.115883	−	0.252159i
$207$	−2.32271	−	0.853148i	−0.161440	−	0.0592979i
$208$	−5.03526	+	11.4560i	−0.349133	+	0.794333i
$209$	3.07301			0.212565
$210$	6.32611	+	1.61424i	0.436543	+	0.111393i
$211$	−14.0386	−	14.0386i	−0.966455	−	0.966455i	0.0330007	−	0.999455i	$-0.489494\pi$
$211$	−14.0386	−	14.0386i	−0.966455	−	0.966455i	−0.999455	+	0.0330007i	$0.989494\pi$
$212$	−0.738353	+	9.67645i	−0.0507103	+	0.664581i
$213$	−9.04653	+	10.7491i	−0.619858	+	0.736514i
$214$	−3.59703	+	1.33188i	−0.245888	+	0.0910458i
$215$	6.90459	+	3.98637i	0.470889	+	0.271868i
$216$	−14.2417	−	3.62966i	−0.969024	−	0.246967i
$217$	14.7888	−	10.5298i	1.00393	−	0.714810i
$218$	0.178621	−	1.04699i	0.0120977	−	0.0709109i
$219$	7.72487	+	1.37383i	0.521998	+	0.0928346i
$220$	−0.943704	+	0.177233i	−0.0636245	+	0.0119490i
$221$	−17.8615	−	4.78597i	−1.20149	−	0.321939i
$222$	−7.76918	−	2.79188i	−0.521433	−	0.187379i
$223$		−	15.0922i		−	1.01065i	−0.862929	−	0.505324i	$-0.831373\pi$
$223$		−	15.0922i		−	1.01065i	0.862929	−	0.505324i	$-0.168627\pi$
$224$	−12.6865	+	7.94057i	−0.847653	+	0.530551i
$225$	−7.65775	−	9.18089i	−0.510516	−	0.612059i
$226$	−1.28112	−	13.7623i	−0.0852189	−	0.915457i
$227$	5.81046	−	21.6849i	0.385654	−	1.43928i	−0.451479	−	0.892282i	$-0.649104\pi$
$227$	5.81046	−	21.6849i	0.385654	−	1.43928i	0.837133	−	0.546999i	$-0.184230\pi$
$228$	21.6309	+	5.57311i	1.43254	+	0.369088i
$229$	18.2540	−	4.89114i	1.20626	−	0.323216i	0.400965	−	0.916093i	$-0.368675\pi$
$229$	18.2540	−	4.89114i	1.20626	−	0.323216i	0.805293	+	0.592877i	$0.202008\pi$
$230$	−1.15838	−	0.197625i	−0.0763812	−	0.0130310i
$231$	1.41447	+	1.66394i	0.0930654	+	0.109479i
$232$	2.36654	−	4.26143i	0.155371	−	0.279776i
$233$	−6.60553	+	11.4411i	−0.432743	+	0.749532i	−0.997108	−	0.0759927i	$-0.975787\pi$
$233$	−6.60553	+	11.4411i	−0.432743	+	0.749532i	0.564366	+	0.825525i	$0.309121\pi$
$234$	11.5119	+	6.60639i	0.752558	+	0.431873i
$235$	−9.96426	−	2.66991i	−0.649996	−	0.174166i
$236$	−26.6650	−	2.03465i	−1.73574	−	0.132444i
$237$	9.90441	+	27.3373i	0.643361	+	1.77575i
$238$	−14.4423	−	16.7495i	−0.936153	−	1.08571i
$239$			20.4861i			1.32513i	0.749003	+	0.662567i	$0.230533\pi$
$239$			20.4861i			1.32513i	−0.749003	+	0.662567i	$0.769467\pi$
$240$	−6.96416	−	0.463928i	−0.449535	−	0.0299464i
$241$	20.9506	−	12.0958i	1.34955	−	0.779161i	0.361361	−	0.932426i	$-0.382312\pi$
$241$	20.9506	−	12.0958i	1.34955	−	0.779161i	0.988185	+	0.153265i	$0.0489789\pi$
$242$	13.8433	+	6.36186i	0.889881	+	0.408956i
$243$	−5.43921	+	14.6087i	−0.348925	+	0.937151i
$244$	1.71014	+	3.56350i	0.109480	+	0.228130i
$245$	−3.08059	−	6.34347i	−0.196812	−	0.405270i
$246$	−4.03549	−	2.80119i	−0.257293	−	0.178597i
$247$	−17.4703	−	10.0865i	−1.11161	−	0.641787i
$248$	−13.4929	+	13.9503i	−0.856800	+	0.885844i
$249$	−22.9184	+	1.97112i	−1.45240	+	0.124915i
$250$	−9.85179	−	8.17380i	−0.623082	−	0.516957i
$251$	−6.48541	+	6.48541i	−0.409356	+	0.409356i	−0.881514	−	0.472158i	$-0.843475\pi$
$251$	−6.48541	+	6.48541i	−0.409356	+	0.409356i	0.472158	+	0.881514i	$0.343475\pi$
$252$	6.93881	+	14.2777i	0.437104	+	0.899411i
$253$	−0.277948	−	0.277948i	−0.0174745	−	0.0174745i
$254$	−2.73201	+	0.254320i	−0.171421	+	0.0159574i
$255$	−0.883780	−	10.2758i	−0.0553444	−	0.643496i
$256$	11.7877	−	10.8190i	0.736732	−	0.676185i
$257$	11.1740	−	19.3540i	0.697018	−	1.20727i	−0.272478	−	0.962162i	$-0.587843\pi$
$257$	11.1740	−	19.3540i	0.697018	−	1.20727i	0.969496	−	0.245109i	$-0.0788236\pi$
$258$	3.44415	+	19.0769i	0.214424	+	1.18768i
$259$	3.11572	+	8.35501i	0.193602	+	0.519155i
$260$	5.94675	+	2.08992i	0.368802	+	0.129611i
$261$	−4.22638	−	2.97792i	−0.261606	−	0.184329i
$262$	−1.13691	+	0.420968i	−0.0702385	+	0.0260075i
$263$	7.73845	+	13.4034i	0.477173	+	0.826489i	0.999658	−	0.0261602i	$-0.00832801\pi$
$263$	7.73845	+	13.4034i	0.477173	+	0.826489i	−0.522484	+	0.852649i	$0.674995\pi$
$264$	−1.81107	−	1.47336i	−0.111464	−	0.0906792i
$265$	4.88828			0.300285
$266$	−10.4893	−	21.7276i	−0.643142	−	1.33221i
$267$	10.1488	−	3.67697i	0.621098	−	0.225027i
$268$	1.76694	−	23.1566i	0.107933	−	1.41451i
$269$	−5.70733	+	21.3000i	−0.347982	+	1.29869i	0.541108	+	0.840953i	$0.318005\pi$
$269$	−5.70733	+	21.3000i	−0.347982	+	1.29869i	−0.889090	+	0.457733i	$0.848662\pi$
$270$	−1.27720	+	7.29197i	−0.0777280	+	0.443775i
$271$	11.8960	+	6.86818i	0.722633	+	0.417212i	0.815721	−	0.578445i	$-0.196340\pi$
$271$	11.8960	+	6.86818i	0.722633	+	0.417212i	−0.0930880	+	0.995658i	$0.529674\pi$
$272$	18.4449	+	14.7914i	1.11839	+	0.896859i
$273$	−2.57986	−	14.1023i	−0.156140	−	0.853510i
$274$	−5.47861	−	7.73249i	−0.330975	−	0.467137i
$275$	−0.491541	−	1.83446i	−0.0296410	−	0.110622i
$276$	−1.45240	−	2.46056i	−0.0874243	−	0.148108i
$277$	−5.87090	−	1.57310i	−0.352748	−	0.0945186i	0.0780937	−	0.996946i	$-0.475117\pi$
$277$	−5.87090	−	1.57310i	−0.352748	−	0.0945186i	−0.430842	+	0.902427i	$0.641783\pi$
$278$	0.590408	+	0.489848i	0.0354103	+	0.0293791i
$279$	13.1855	+	15.8081i	0.789393	+	0.946406i
$280$	4.47433	+	6.06747i	0.267393	+	0.362601i
$281$	11.8413			0.706391			0.353196	−	0.935549i	$-0.385095\pi$
$281$	11.8413			0.706391			0.353196	+	0.935549i	$0.385095\pi$
$282$	−10.6930	−	22.6888i	−0.636757	−	1.35110i
$283$	−0.740544	+	2.76375i	−0.0440208	+	0.164288i	−0.984437	−	0.175738i	$-0.943769\pi$
$283$	−0.740544	+	2.76375i	−0.0440208	+	0.164288i	0.940416	+	0.340025i	$0.110436\pi$
$284$	−15.9440	+	2.99436i	−0.946100	+	0.177683i
$285$	1.97011	−	11.0777i	0.116699	−	0.656186i
$286$	1.21894	+	1.72041i	0.0720775	+	0.101730i
$287$	0.504072	+	5.28202i	0.0297545	+	0.311788i
$288$	−10.0761	−	13.6555i	−0.593738	−	0.804658i
$289$	−8.96873	+	15.5343i	−0.527572	+	0.913782i
$290$	−2.23099	−	1.02528i	−0.131008	−	0.0602065i
$291$	7.50042	+	6.31244i	0.439683	+	0.370042i
$292$	5.90032	+	6.87514i	0.345290	+	0.402337i
$293$	−13.6513	+	13.6513i	−0.797517	+	0.797517i	−0.982703	−	0.185187i	$-0.940711\pi$
$293$	−13.6513	+	13.6513i	−0.797517	+	0.797517i	0.185187	+	0.982703i	$0.440711\pi$
$294$	6.93671	−	15.6806i	0.404557	−	0.914513i
$295$			13.4704i			0.784279i
$296$	−4.90328	−	8.17502i	−0.284997	−	0.475163i
$297$	−1.75873	+	1.74327i	−0.102052	+	0.101155i
$298$	25.8728	−	9.58001i	1.49877	−	0.554955i
$299$	0.667852	+	2.49246i	0.0386229	+	0.144143i
$300$	−0.133053	−	13.8042i	−0.00768182	−	0.796985i
$301$	13.3323	−	16.1454i	0.768459	−	0.930604i
$302$	9.46898	−	6.70895i	0.544879	−	0.386057i
$303$	−9.67500	+	6.75331i	−0.555814	+	0.387967i
$304$	15.2600	+	20.7944i	0.875221	+	1.19264i
$305$	1.72423	−	0.995483i	0.0987289	−	0.0570012i
$306$	17.6860	−	17.7786i	1.01104	−	1.01634i
$307$	−15.3972	+	15.3972i	−0.878766	+	0.878766i	−0.993407	−	0.114641i	$-0.963428\pi$
$307$	−15.3972	+	15.3972i	−0.878766	+	0.878766i	0.114641	+	0.993407i	$0.463428\pi$
$308$	0.0478779	+	2.52130i	0.00272810	+	0.143664i
$309$	−1.66170	−	4.58647i	−0.0945308	−	0.260915i
$310$	7.52361	+	6.24217i	0.427313	+	0.354531i
$311$	26.0137	−	15.0190i	1.47510	−	0.851649i	0.475493	−	0.879719i	$-0.342270\pi$
$311$	26.0137	−	15.0190i	1.47510	−	0.851649i	0.999606	+	0.0280704i	$0.00893628\pi$
$312$	5.46006	+	14.3206i	0.309115	+	0.810744i
$313$	−15.3317	+	26.5552i	−0.866597	+	1.50099i	−0.00114438	+	0.999999i	$0.500364\pi$
$313$	−15.3317	+	26.5552i	−0.866597	+	1.50099i	−0.865453	+	0.500991i	$0.832969\pi$
$314$	7.88814	+	1.34575i	0.445153	+	0.0759453i
$315$	6.90504	−	4.03218i	0.389055	−	0.227188i
$316$	−11.1319	+	31.6751i	−0.626216	+	1.78186i
$317$	−7.86861	−	29.3661i	−0.441945	−	1.64936i	−0.723878	−	0.689928i	$-0.757642\pi$
$317$	−7.86861	−	29.3661i	−0.441945	−	1.64936i	0.281933	−	0.959434i	$-0.409025\pi$
$318$	7.67705	+	9.07365i	0.430508	+	0.508825i
$319$	−0.410652	−	0.711270i	−0.0229921	−	0.0398235i
$320$	−5.88556	−	5.50575i	−0.329013	−	0.307781i
$321$	−1.99161	+	4.25467i	−0.111161	+	0.237473i
$322$	−1.01648	+	2.91397i	−0.0566464	+	0.162389i
$323$	−26.9508	+	26.9508i	−1.49958	+	1.49958i
$324$	−15.5412	+	9.08130i	−0.863402	+	0.504517i
$325$	−3.22675	+	12.0424i	−0.178988	+	0.667991i
$326$	10.6078	−	3.92781i	0.587514	−	0.217541i
$327$	−0.744550	−	1.06667i	−0.0411737	−	0.0589867i
$328$	−1.55922	−	5.45386i	−0.0860934	−	0.301139i
$329$	−11.2558	+	24.6431i	−0.620552	+	1.35862i
$330$	−0.670589	+	0.966072i	−0.0369147	+	0.0531805i
$331$	−1.47031	−	5.48729i	−0.0808158	−	0.301609i	0.913673	−	0.406450i	$-0.133233\pi$
$331$	−1.47031	−	5.48729i	−0.0808158	−	0.301609i	−0.994489	+	0.104841i	$0.966567\pi$
$332$	−21.9259	−	14.9924i	−1.20334	−	0.822817i
$333$	−9.17621	+	4.24610i	−0.502853	+	0.232685i
$334$	0.126422	+	1.35808i	0.00691751	+	0.0743108i
$335$	−11.6981			−0.639134
$336$	−4.23552	+	17.8342i	−0.231067	+	0.972938i
$337$	−7.89700			−0.430177			−0.215089	−	0.976595i	$-0.569004\pi$
$337$	−7.89700			−0.430177			−0.215089	+	0.976595i	$0.569004\pi$
$338$	0.421142	+	4.52408i	0.0229071	+	0.246077i
$339$	−12.9517	−	10.9003i	−0.703442	−	0.592024i
$340$	6.72208	−	9.83080i	0.364556	−	0.533150i
$341$	0.846358	+	3.15865i	0.0458329	+	0.171051i
$342$	23.6565	−	13.7406i	1.27920	−	0.743007i
$343$	−17.7709	+	5.21477i	−0.959540	+	0.281571i
$344$	−10.8675	+	19.5691i	−0.585938	+	1.05510i
$345$	−1.18015	+	0.823765i	−0.0635372	+	0.0443500i
$346$	−0.966247	+	0.357776i	−0.0519457	+	0.0192342i
$347$	−8.63979	+	32.2441i	−0.463808	+	1.73096i	0.197003	+	0.980403i	$0.436879\pi$
$347$	−8.63979	+	32.2441i	−0.463808	+	1.73096i	−0.660811	+	0.750552i	$0.729787\pi$
$348$	−1.60065	−	5.75138i	−0.0858036	−	0.308306i
$349$	−11.7272	+	11.7272i	−0.627740	+	0.627740i	−0.947499	−	0.319759i	$-0.896398\pi$
$349$	−11.7272	+	11.7272i	−0.627740	+	0.627740i	0.319759	+	0.947499i	$0.396398\pi$
$350$	−11.2927	+	9.73711i	−0.603618	+	0.520470i
$351$	15.7204	−	4.13797i	0.839092	−	0.220868i
$352$	−0.541682	−	2.64088i	−0.0288717	−	0.140760i
$353$	2.72602	+	4.72161i	0.145091	+	0.251306i	0.929407	−	0.369056i	$-0.120319\pi$
$353$	2.72602	+	4.72161i	0.145091	+	0.251306i	−0.784316	+	0.620362i	$0.786986\pi$
$354$	−25.0039	+	21.1553i	−1.32894	+	1.12439i
$355$	2.11495	+	7.89309i	0.112250	+	0.418922i
$356$	11.7592	+	4.13265i	0.623238	+	0.219030i
$357$	−26.9981	−	2.18787i	−1.42889	−	0.115794i
$358$	13.9108	+	2.37325i	0.735209	+	0.125430i
$359$	2.84457	−	4.92694i	0.150131	−	0.260034i	−0.781145	−	0.624350i	$-0.785364\pi$
$359$	2.84457	−	4.92694i	0.150131	−	0.260034i	0.931275	+	0.364316i	$0.118697\pi$
$360$	−6.47231	+	5.58403i	−0.341121	+	0.294304i
$361$	−19.5546	+	11.2899i	−1.02919	+	0.594204i
$362$	−17.7568	−	14.7324i	−0.933277	−	0.774319i
$363$	17.5433	−	6.35601i	0.920783	−	0.333604i
$364$	8.00340	−	14.4909i	0.419492	−	0.759529i
$365$	3.22691	−	3.22691i	0.168904	−	0.168904i
$366$	4.55572	+	1.63711i	0.238131	+	0.0855731i
$367$	−3.39825	+	1.96198i	−0.177387	+	0.102414i	−0.586064	−	0.810264i	$-0.699323\pi$
$367$	−3.39825	+	1.96198i	−0.177387	+	0.102414i	0.408677	+	0.912679i	$0.365990\pi$
$368$	0.500578	−	3.26106i	0.0260945	−	0.169994i
$369$	−5.92810	+	1.02730i	−0.308605	+	0.0534793i
$370$	−3.91798	+	2.77596i	−0.203686	+	0.144315i
$371$	2.12963	−	12.6601i	0.110565	−	0.657279i
$372$	0.229097	+	23.7687i	0.0118781	+	1.23235i
$373$	6.53137	+	24.3754i	0.338181	+	1.26211i	0.900379	+	0.435107i	$0.143289\pi$
$373$	6.53137	+	24.3754i	0.338181	+	1.26211i	−0.562197	+	0.827003i	$0.690044\pi$
$374$	3.73580	−	1.38327i	0.193174	−	0.0715272i
$375$	−15.6204	+	1.34345i	−0.806636	+	0.0693755i
$376$	7.02882	−	28.0967i	0.362484	−	1.44898i
$377$			5.39149i			0.277676i
$378$	18.3289	+	6.48462i	0.942738	+	0.333533i
$379$	−10.8669	+	10.8669i	−0.558196	+	0.558196i	−0.928794	−	0.370597i	$-0.879153\pi$
$379$	−10.8669	+	10.8669i	−0.558196	+	0.558196i	0.370597	+	0.928794i	$0.379153\pi$
$380$	9.85916	−	8.46124i	0.505764	−	0.434053i
$381$	−2.16386	+	2.57109i	−0.110858	+	0.131721i
$382$	32.9328	+	15.1347i	1.68499	+	0.774357i
$383$	2.79049	−	4.83327i	0.142587	−	0.246969i	−0.785883	−	0.618375i	$-0.787791\pi$
$383$	2.79049	−	4.83327i	0.142587	−	0.246969i	0.928470	+	0.371407i	$0.121124\pi$
$384$	0.976515	−	19.5716i	0.0498326	−	0.998758i
$385$	1.26448	−	0.120672i	0.0644441	−	0.00615001i
$386$	−11.2499	−	15.8780i	−0.572604	−	0.808171i
$387$	19.4082	+	13.6751i	0.986575	+	0.695143i
$388$	2.08939	+	11.1253i	0.106073	+	0.564801i
$389$	1.66715	−	6.22190i	0.0845280	−	0.315463i	−0.910696	−	0.413076i	$-0.864454\pi$
$389$	1.66715	−	6.22190i	0.0845280	−	0.315463i	0.995224	+	0.0976137i	$0.0311210\pi$
$390$	6.98326	−	3.29113i	0.353611	−	0.166653i
$391$	4.87530			0.246555
$392$	17.6633	−	8.94465i	0.892133	−	0.451773i
$393$	−0.629489	+	1.34477i	−0.0317535	+	0.0678348i
$394$	−15.9563	−	13.2386i	−0.803866	−	0.666949i
$395$	16.3354	+	4.37706i	0.821923	+	0.220234i
$396$	−2.84639	+	0.272467i	−0.143036	+	0.0136920i
$397$	4.34049	+	16.1989i	0.217843	+	0.813002i	0.985146	+	0.171717i	$0.0549315\pi$
$397$	4.34049	+	16.1989i	0.217843	+	0.813002i	−0.767303	+	0.641285i	$0.778402\pi$
$398$	8.01836	+	11.3171i	0.401924	+	0.567274i
$399$	−27.8316	−	9.92846i	−1.39332	−	0.497045i
$400$	9.97248	−	12.4357i	0.498624	−	0.621786i
$401$	−9.26008	−	5.34631i	−0.462427	−	0.266982i	0.250637	−	0.968081i	$-0.419360\pi$
$401$	−9.26008	−	5.34631i	−0.462427	−	0.266982i	−0.713064	+	0.701099i	$0.752693\pi$
$402$	−18.3718	−	21.7140i	−0.916304	−	1.08300i
$403$	5.55596	−	20.7351i	0.276762	−	1.03289i
$404$	−13.5846	−	1.03656i	−0.675861	−	0.0515710i
$405$	5.15667	+	7.45754i	0.256237	+	0.370568i
$406$	−3.62731	+	5.33133i	−0.180020	+	0.264590i
$407$	−1.60619			−0.0796157
$408$	28.8050	−	2.96172i	1.42606	−	0.146627i
$409$	−9.31226	−	16.1293i	−0.460462	−	0.797543i	0.538522	−	0.842611i	$-0.318983\pi$
$409$	−9.31226	−	16.1293i	−0.460462	−	0.797543i	−0.998984	+	0.0450681i	$0.985650\pi$
$410$	−2.67944	+	0.992128i	−0.132328	+	0.0489977i
$411$	−11.4272	−	2.03226i	−0.563660	−	0.100244i
$412$	1.86763	−	5.31425i	0.0920117	−	0.261814i
$413$	34.8868	+	5.86852i	1.71667	+	0.288771i
$414$	−3.38250	−	0.896877i	−0.166241	−	0.0440791i
$415$	−6.68966	+	11.5868i	−0.328383	+	0.568775i
$416$	−5.58861	+	16.7916i	−0.274004	+	0.823274i
$417$	0.936118	−	0.0805117i	0.0458419	−	0.00394267i
$418$	4.32719	−	0.402813i	0.211650	−	0.0197022i
$419$	19.4061	+	19.4061i	0.948050	+	0.948050i	0.998716	−	0.0506659i	$-0.0161344\pi$
$419$	19.4061	+	19.4061i	0.948050	+	0.948050i	−0.0506659	+	0.998716i	$0.516134\pi$
$420$	9.11955	+	1.44381i	0.444989	+	0.0704509i
$421$	1.13553	−	1.13553i	0.0553421	−	0.0553421i	−0.678894	−	0.734236i	$-0.737540\pi$
$421$	1.13553	−	1.13553i	0.0553421	−	0.0553421i	0.734236	+	0.678894i	$0.237540\pi$
$422$	−21.6083	−	17.9279i	−1.05187	−	0.872715i
$423$	−28.8357	−	10.5916i	−1.40204	−	0.514980i
$424$	0.228705	+	13.7224i	0.0111069	+	0.666421i
$425$	20.3994	+	11.7776i	0.989514	+	0.571296i
$426$	−11.3297	+	16.3219i	−0.548923	+	0.790797i
$427$	−1.82701	−	4.89923i	−0.0884151	−	0.237091i
$428$	−4.89048	+	2.34696i	−0.236390	+	0.113445i
$429$	2.54244	+	0.452159i	0.122750	+	0.0218305i
$430$	10.2451	+	4.70825i	0.494061	+	0.227052i
$431$	29.2250	−	16.8731i	1.40772	−	0.812747i	0.412551	−	0.910935i	$-0.364638\pi$
$431$	29.2250	−	16.8731i	1.40772	−	0.812747i	0.995168	+	0.0981881i	$0.0313047\pi$
$432$	−20.5299	−	3.24421i	−0.987743	−	0.156087i
$433$		−	21.4764i		−	1.03209i	−0.856561	−	0.516046i	$-0.827403\pi$
$433$		−	21.4764i		−	1.03209i	0.856561	−	0.516046i	$-0.172597\pi$
$434$	19.4442	−	16.7658i	0.933353	−	0.804785i
$435$	−2.82728	+	1.02434i	−0.135558	+	0.0491132i
$436$	0.114281	−	1.49770i	0.00547306	−	0.0717270i
$437$	5.13736	+	1.37655i	0.245753	+	0.0658494i
$438$	11.0577	+	0.921939i	0.528356	+	0.0440519i
$439$	16.3680	−	28.3502i	0.781202	−	1.35308i	−0.150040	−	0.988680i	$-0.547940\pi$
$439$	16.3680	−	28.3502i	0.781202	−	1.35308i	0.931242	−	0.364401i	$-0.118726\pi$
$440$	−1.30562	+	0.373268i	−0.0622431	+	0.0177948i
$441$	−7.43463	−	19.6399i	−0.354030	−	0.935234i
$442$	−25.7786	−	4.39795i	−1.22616	−	0.209189i
$443$	−19.7712	+	5.29767i	−0.939357	+	0.251700i	−0.695840	−	0.718197i	$-0.744968\pi$
$443$	−19.7712	+	5.29767i	−0.939357	+	0.251700i	−0.243517	+	0.969897i	$0.578301\pi$
$444$	−11.3059	−	2.91292i	−0.536556	−	0.138241i
$445$	1.62496	−	6.06444i	0.0770306	−	0.287482i
$446$	−1.97830	−	21.2517i	−0.0936752	−	1.00630i
$447$	14.3253	−	30.6031i	0.677565	−	1.44748i
$448$	−16.8233	+	12.8443i	−0.794828	+	0.606835i
$449$			41.8299i			1.97407i	0.160494	+	0.987037i	$0.448691\pi$
$449$			41.8299i			1.97407i	−0.160494	+	0.987037i	$0.551309\pi$
$450$	−11.9865	−	11.9241i	−0.565049	−	0.562106i
$451$	−0.923180	−	0.247365i	−0.0434709	−	0.0116480i
$452$	−3.60796	−	19.2112i	−0.169704	−	0.903617i
$453$	2.48865	−	13.9934i	0.116927	−	0.657465i
$454$	5.33938	−	31.2968i	0.250590	−	1.46883i
$455$	−7.58476	−	3.46436i	−0.355579	−	0.162412i
$456$	31.1896	+	5.01223i	1.46059	+	0.234719i
$457$	−36.2442	−	20.9256i	−1.69543	−	0.978859i	−0.949985	−	0.312294i	$-0.898903\pi$
$457$	−36.2442	−	20.9256i	−1.69543	−	0.978859i	−0.745447	−	0.666564i	$-0.767764\pi$
$458$	25.0628	−	9.28009i	1.17111	−	0.433630i
$459$	0.135598	−	30.7131i	0.00632916	−	1.43356i
$460$	−1.65705	−	0.126439i	−0.0772602	−	0.00589527i
$461$	−23.3851	−	23.3851i	−1.08915	−	1.08915i	−0.995616	−	0.0935361i	$-0.970183\pi$
$461$	−23.3851	−	23.3851i	−1.08915	−	1.08915i	−0.0935361	−	0.995616i	$-0.529817\pi$
$462$	2.20986	+	2.15762i	0.102812	+	0.100382i
$463$	37.5015			1.74284			0.871421	−	0.490536i	$-0.163199\pi$
$463$	37.5015			1.74284			0.871421	+	0.490536i	$0.163199\pi$
$464$	2.77380	−	6.31083i	0.128770	−	0.292973i
$465$	11.9290	−	1.02597i	0.553195	−	0.0475781i
$466$	−7.80170	+	16.9764i	−0.361407	+	0.786416i
$467$	−10.7295	+	2.87495i	−0.496501	+	0.133037i	−0.498376	−	0.866961i	$-0.666070\pi$
$467$	−10.7295	+	2.87495i	−0.496501	+	0.133037i	0.00187468	+	0.999998i	$0.499403\pi$
$468$	17.0762	+	7.79363i	0.789348	+	0.360261i
$469$	−5.09638	+	30.2966i	−0.235329	+	1.39897i
$470$	−14.3809	−	2.45345i	−0.663341	−	0.113169i
$471$	8.03640	−	5.60954i	0.370298	−	0.258474i
$472$	−37.8143	+	0.630232i	−1.74055	+	0.0290088i
$473$	1.88578	+	3.26626i	0.0867082	+	0.150183i
$474$	17.5300	+	37.1960i	0.805182	+	1.70847i
$475$	18.1705	+	18.1705i	0.833718	+	0.833718i
$476$	−22.5321	−	21.6923i	−1.03276	−	0.994264i
$477$	14.4977	+	1.31139i	0.663803	+	0.0600445i
$478$	2.68533	+	28.8470i	0.122824	+	1.31943i
$479$	1.80378	+	3.12424i	0.0824169	+	0.142750i	0.904288	−	0.426924i	$-0.140403\pi$
$479$	1.80378	+	3.12424i	0.0824169	+	0.142750i	−0.821871	+	0.569674i	$0.807069\pi$
$480$	−9.86723	+	0.259600i	−0.450375	+	0.0118491i
$481$	9.13128	+	5.27195i	0.416350	+	0.240380i
$482$	27.9155	−	19.7787i	1.27152	−	0.900894i
$483$	1.61931	+	3.41533i	0.0736811	+	0.155403i
$484$	20.3270	+	7.14370i	0.923955	+	0.324714i
$485$	5.50759	−	1.47576i	0.250087	−	0.0670106i
$486$	−5.74416	+	21.2839i	−0.260560	+	0.965458i
$487$	9.48353	−	5.47532i	0.429740	−	0.248110i	−0.269496	−	0.963002i	$-0.586857\pi$
$487$	9.48353	−	5.47532i	0.429740	−	0.248110i	0.699236	+	0.714891i	$0.253524\pi$
$488$	2.87520	+	4.79369i	0.130154	+	0.217000i
$489$	5.87339	−	12.5473i	0.265604	−	0.567408i
$490$	−5.16936	−	8.52860i	−0.233528	−	0.385283i
$491$	7.08608	+	7.08608i	0.319791	+	0.319791i	0.848687	−	0.528896i	$-0.177394\pi$
$491$	7.08608	+	7.08608i	0.319791	+	0.319791i	−0.528896	+	0.848687i	$0.677394\pi$
$492$	−6.04966	−	3.41545i	−0.272740	−	0.153981i
$493$	9.83944	+	2.63647i	0.443146	+	0.118741i
$494$	−25.9225	−	11.9130i	−1.16631	−	0.535991i
$495$	0.245930	+	1.41915i	0.0110537	+	0.0637862i
$496$	−17.1711	+	21.4124i	−0.771004	+	0.961446i
$497$	21.3636	−	2.03876i	0.958287	−	0.0914510i
$498$	−32.0136	+	5.77975i	−1.43457	+	0.258997i
$499$	−5.40206	+	1.44748i	−0.241829	+	0.0647979i	−0.377698	−	0.925929i	$-0.623284\pi$
$499$	−5.40206	+	1.44748i	−0.241829	+	0.0647979i	0.135869	+	0.990727i	$0.456618\pi$
$500$	−14.9440	−	10.2184i	−0.668315	−	0.456979i
$501$	1.27809	+	1.07565i	0.0571008	+	0.0480567i
$502$	−8.28216	+	9.98239i	−0.369651	+	0.445536i
$503$		−	21.7788i		−	0.971068i	−0.874218	−	0.485534i	$-0.838625\pi$
$503$		−	21.7788i		−	0.971068i	0.874218	−	0.485534i	$-0.161375\pi$
$504$	11.6423	+	19.1953i	0.518587	+	0.855025i
$505$			6.86260i			0.305382i
$506$	−0.427820	−	0.354952i	−0.0190189	−	0.0157796i
$507$	4.25761	+	3.58325i	0.189087	+	0.159138i
$508$	−3.81367	+	0.716228i	−0.169204	+	0.0317775i
$509$	10.0926	−	2.70429i	0.447344	−	0.119866i	−0.0281121	−	0.999605i	$-0.508950\pi$
$509$	10.0926	−	2.70429i	0.447344	−	0.119866i	0.475457	+	0.879739i	$0.342283\pi$
$510$	−2.59143	−	14.3538i	−0.114751	−	0.635596i
$511$	−6.95148	−	9.76315i	−0.307516	−	0.431896i
$512$	15.1804	−	16.7796i	0.670886	−	0.741560i
$513$	8.81480	−	32.3257i	0.389183	−	1.42722i
$514$	13.1975	−	28.7176i	0.582118	−	1.26668i
$515$	−2.74065	−	0.734356i	−0.120768	−	0.0323596i
$516$	7.35042	+	26.4112i	0.323584	+	1.16269i
$517$	−3.45064	−	3.45064i	−0.151759	−	0.151759i
$518$	5.48251	+	11.3565i	0.240888	+	0.498976i
$519$	−0.534995	+	1.14291i	−0.0234837	+	0.0501680i
$520$	8.64772	+	2.16336i	0.379228	+	0.0948697i
$521$	−8.65971	+	4.99968i	−0.379389	+	0.219040i	−0.677552	−	0.735475i	$-0.736959\pi$
$521$	−8.65971	+	4.99968i	−0.379389	+	0.219040i	0.298164	+	0.954515i	$0.403626\pi$
$522$	−6.34162	−	3.63929i	−0.277565	−	0.159287i
$523$	21.7626	−	5.83128i	0.951613	−	0.254984i	0.250566	−	0.968099i	$-0.419383\pi$
$523$	21.7626	−	5.83128i	0.951613	−	0.254984i	0.701046	+	0.713116i	$0.252717\pi$
$524$	−1.54573	+	0.741803i	−0.0675256	+	0.0324058i
$525$	−1.47508	+	18.2024i	−0.0643777	+	0.794418i
$526$	12.6536	+	17.8593i	0.551725	+	0.778702i
$527$	−35.1246	−	20.2792i	−1.53005	−	0.883375i
$528$	−2.74334	−	1.83728i	−0.119389	−	0.0799575i
$529$	11.1598	+	19.3294i	0.485210	+	0.840409i
$530$	6.88332	−	0.640761i	0.298992	−	0.0278329i
$531$	−3.61374	+	39.9506i	−0.156823	+	1.73371i
$532$	−17.6184	−	29.2203i	−0.763854	−	1.26686i
$533$	4.43642	+	4.43642i	0.192163	+	0.192163i
$534$	13.8088	−	6.50795i	0.597567	−	0.281626i
$535$	1.36618	+	2.36629i	0.0590652	+	0.102304i
$536$	−0.547310	−	32.8390i	−0.0236402	−	1.41843i
$537$	14.1723	−	9.89248i	0.611579	−	0.426892i
$538$	−5.24460	+	30.7412i	−0.226111	+	1.32535i
$539$	0.238359	−	3.32744i	0.0102668	−	0.143323i
$540$	−0.842622	+	10.4354i	−0.0362607	+	0.449070i
$541$	32.2797	−	8.64931i	1.38781	−	0.371863i	0.513859	−	0.857875i	$-0.328216\pi$
$541$	32.2797	−	8.64931i	1.38781	−	0.371863i	0.873952	+	0.486012i	$0.161549\pi$
$542$	17.6514	+	8.11192i	0.758193	+	0.348437i
$543$	−28.1542	+	2.42143i	−1.20821	+	0.103913i
$544$	27.9116	+	18.4103i	1.19670	+	0.789337i
$545$	−0.756600			−0.0324092
$546$	−5.48131	−	19.5196i	−0.234579	−	0.835363i
$547$	8.16990	+	8.16990i	0.349320	+	0.349320i	0.859856	−	0.510536i	$-0.170553\pi$
$547$	8.16990	+	8.16990i	0.349320	+	0.349320i	−0.510536	+	0.859856i	$0.670553\pi$
$548$	−8.72816	−	10.1702i	−0.372848	−	0.434448i
$549$	5.38077	−	2.48984i	0.229646	−	0.106264i
$550$	−0.932613	−	2.51871i	−0.0397668	−	0.107398i
$551$	9.62393	+	5.55638i	0.409993	+	0.236710i
$552$	−2.36770	−	3.27439i	−0.100776	−	0.139367i
$553$	18.4527	−	40.3999i	0.784691	−	1.71798i
$554$	−8.47317	−	1.44556i	−0.359990	−	0.0614161i
$555$	−1.02973	+	5.79003i	−0.0437095	+	0.245773i
$556$	0.895578	+	0.612376i	0.0379810	+	0.0259705i
$557$	−27.5067	−	7.37040i	−1.16550	−	0.312294i	−0.376337	−	0.926483i	$-0.622817\pi$
$557$	−27.5067	−	7.37040i	−1.16550	−	0.312294i	−0.789159	+	0.614189i	$0.789483\pi$
$558$	20.6389	+	20.5314i	0.873716	+	0.869164i
$559$		−	24.7586i		−	1.04718i
$560$	7.09576	+	7.95727i	0.299850	+	0.336256i
$561$	2.06845	−	4.41882i	0.0873302	−	0.186563i
$562$	16.6740	−	1.55217i	0.703350	−	0.0654741i
$563$	8.95167	−	33.4081i	0.377268	−	1.40798i	−0.472735	−	0.881205i	$-0.656733\pi$
$563$	8.95167	−	33.4081i	0.377268	−	1.40798i	0.850003	−	0.526778i	$-0.176600\pi$
$564$	−18.0311	−	30.5470i	−0.759246	−	1.28626i
$565$	−9.51052	+	2.54834i	−0.400111	+	0.107209i
$566$	−0.680504	+	3.98877i	−0.0286037	+	0.167661i
$567$	21.5607	−	10.1062i	0.905465	−	0.424421i
$568$	−22.0586	+	6.30639i	−0.925558	+	0.264610i
$569$	−0.810136	+	1.40320i	−0.0339627	+	0.0588250i	−0.882507	−	0.470299i	$-0.844146\pi$
$569$	−0.810136	+	1.40320i	−0.0339627	+	0.0588250i	0.848544	+	0.529124i	$0.177479\pi$
$570$	1.32209	−	15.8570i	0.0553762	−	0.664178i
$571$	7.91856	+	2.12177i	0.331381	+	0.0887934i	0.420674	−	0.907212i	$-0.361794\pi$
$571$	7.91856	+	2.12177i	0.331381	+	0.0887934i	−0.0892921	+	0.996005i	$0.528460\pi$
$572$	1.94194	+	2.26277i	0.0811964	+	0.0946113i
$573$	41.7349	−	15.1207i	1.74350	−	0.631678i
$574$	1.40217	+	7.37167i	0.0585254	+	0.307688i
$575$		−	3.28697i		−	0.137076i
$576$	−15.9784	−	17.9079i	−0.665765	−	0.746162i
$577$	−7.29722	+	4.21305i	−0.303787	+	0.175392i	−0.644143	−	0.764905i	$-0.722786\pi$
$577$	−7.29722	+	4.21305i	−0.303787	+	0.175392i	0.340356	+	0.940297i	$0.389452\pi$
$578$	−10.5928	+	23.0499i	−0.440604	+	0.958748i
$579$	−23.4647	−	4.17308i	−0.975160	−	0.173427i
$580$	−3.27591	−	1.15128i	−0.136025	−	0.0478044i
$581$	27.0941	+	22.3734i	1.12405	+	0.928203i
$582$	11.3890	+	7.90554i	0.472088	+	0.327695i
$583$	2.00263	+	1.15622i	0.0829404	+	0.0478857i
$584$	9.20959	+	8.90764i	0.381096	+	0.368601i
$585$	3.25992	−	8.87519i	0.134781	−	0.366944i
$586$	−17.4333	+	21.0121i	−0.720163	+	0.868004i
$587$	15.7875	−	15.7875i	0.651619	−	0.651619i	−0.301763	−	0.953383i	$-0.597575\pi$
$587$	15.7875	−	15.7875i	0.651619	−	0.651619i	0.953383	+	0.301763i	$0.0975753\pi$
$588$	7.71233	−	22.9896i	0.318051	−	0.948074i
$589$	−31.2868	−	31.2868i	−1.28915	−	1.28915i
$590$	1.76572	+	18.9681i	0.0726934	+	0.780902i
$591$	−25.2994	+	2.17590i	−1.04068	+	0.0895045i
$592$	−7.97602	−	10.8687i	−0.327812	−	0.446702i
$593$	3.19682	−	5.53706i	0.131278	−	0.227380i	−0.792892	−	0.609363i	$-0.791425\pi$
$593$	3.19682	−	5.53706i	0.131278	−	0.227380i	0.924169	+	0.381983i	$0.124759\pi$
$594$	−2.24800	+	2.68528i	−0.0922367	+	0.110178i
$595$	−10.0314	+	12.1480i	−0.411248	+	0.498021i
$596$	35.1763	−	16.8813i	1.44088	−	0.691484i
$597$	16.7245	+	2.97436i	0.684488	+	0.121733i
$598$	1.26713	+	3.42215i	0.0518169	+	0.139942i
$599$	−9.53897	−	16.5220i	−0.389752	−	0.675070i	0.602664	−	0.797995i	$-0.294106\pi$
$599$	−9.53897	−	16.5220i	−0.389752	−	0.675070i	−0.992416	+	0.122925i	$0.960772\pi$
$600$	−1.99682	−	19.4206i	−0.0815198	−	0.792842i
$601$	7.41720			0.302554			0.151277	−	0.988491i	$-0.451661\pi$
$601$	7.41720			0.302554			0.151277	+	0.988491i	$0.451661\pi$
$602$	16.6572	−	24.4823i	0.678895	−	0.997825i
$603$	−34.6942	−	3.13827i	−1.41286	−	0.127800i
$604$	12.4541	−	10.6882i	0.506750	−	0.434898i
$605$	2.80891	−	10.4830i	0.114198	−	0.426195i
$606$	−12.7384	+	10.7777i	−0.517461	+	0.437815i
$607$	−25.4018	−	14.6657i	−1.03103	−	0.595263i	−0.113748	−	0.993510i	$-0.536286\pi$
$607$	−25.4018	−	14.6657i	−1.03103	−	0.595263i	−0.917278	+	0.398247i	$0.869619\pi$
$608$	24.2138	+	27.2809i	0.981998	+	1.10639i
$609$	1.42118	+	7.76859i	0.0575891	+	0.314799i
$610$	2.29744	−	1.62778i	0.0930206	−	0.0659068i
$611$	8.29117	+	30.9431i	0.335425	+	1.25182i
$612$	22.5737	−	27.3528i	0.912487	−	1.10567i
$613$	36.2818	+	9.72167i	1.46541	+	0.392654i	0.901353	−	0.433084i	$-0.142575\pi$
$613$	36.2818	+	9.72167i	1.46541	+	0.392654i	0.564053	+	0.825739i	$0.309241\pi$
$614$	−19.6630	+	23.6995i	−0.793532	+	0.956435i
$615$	−1.48356	+	3.16933i	−0.0598231	+	0.127800i
$616$	0.397912	+	3.54403i	0.0160323	+	0.142793i
$617$	11.5962			0.466846			0.233423	−	0.972375i	$-0.425007\pi$
$617$	11.5962			0.466846			0.233423	+	0.972375i	$0.425007\pi$
$618$	−2.94108	−	6.24052i	−0.118308	−	0.251030i
$619$	−6.89534	+	25.7338i	−0.277147	+	1.03433i	0.677241	+	0.735761i	$0.263175\pi$
$619$	−6.89534	+	25.7338i	−0.277147	+	1.03433i	−0.954389	+	0.298567i	$0.903491\pi$
$620$	11.4124	+	7.80356i	0.458334	+	0.313398i
$621$	−3.72108	+	2.12652i	−0.149322	+	0.0853343i
$622$	34.6618	−	24.5585i	1.38981	−	0.984707i
$623$	−14.9983	−	6.85049i	−0.600893	−	0.274459i
$624$	9.56561	+	19.4495i	0.382931	+	0.778603i
$625$	5.40332	−	9.35882i	0.216133	−	0.374353i
$626$	−18.1080	+	39.4028i	−0.723742	+	1.57485i
$627$	3.42731	−	4.07232i	0.136873	−	0.162633i
$628$	11.2839	+	0.861007i	0.450276	+	0.0343579i
$629$	14.0865	−	14.0865i	0.561666	−	0.561666i
$630$	9.19463	−	6.58294i	0.366323	−	0.262271i
$631$			31.1482i			1.23999i	0.784605	+	0.619996i	$0.212866\pi$
$631$			31.1482i			1.23999i	−0.784605	+	0.619996i	$0.787134\pi$
$632$	−11.5231	+	46.0617i	−0.458362	+	1.83224i
$633$	−34.2608	+	2.94664i	−1.36175	+	0.117118i
$634$	−14.9293	−	40.3197i	−0.592919	−	1.60130i
$635$	0.505879	+	1.88797i	0.0200752	+	0.0749216i
$636$	11.9996	+	11.7705i	0.475817	+	0.466732i
$637$	−12.2767	+	18.1344i	−0.486419	+	0.718509i
$638$	−0.671484	−	0.947729i	−0.0265843	−	0.0375210i
$639$	4.15501	+	23.9767i	0.164370	+	0.948504i
$640$	−9.00930	−	6.98130i	−0.356124	−	0.275960i
$641$	−20.4426	+	11.8026i	−0.807436	+	0.466173i	−0.846065	−	0.533081i	$-0.821034\pi$
$641$	−20.4426	+	11.8026i	−0.807436	+	0.466173i	0.0386290	+	0.999254i	$0.487701\pi$
$642$	−2.24674	+	6.25218i	−0.0886716	+	0.246754i
$643$	−12.6405	+	12.6405i	−0.498492	+	0.498492i	−0.910968	−	0.412477i	$-0.864664\pi$
$643$	−12.6405	+	12.6405i	−0.498492	+	0.498492i	0.412477	+	0.910968i	$0.364664\pi$
$644$	−1.04937	+	4.23647i	−0.0413510	+	0.166940i
$645$	12.9833	−	4.70392i	0.511218	−	0.185216i
$646$	−34.4174	+	41.4828i	−1.35413	+	1.63212i
$647$	−15.0050	+	8.66316i	−0.589909	+	0.340584i	−0.765062	−	0.643957i	$-0.777291\pi$
$647$	−15.0050	+	8.66316i	−0.589909	+	0.340584i	0.175153	+	0.984541i	$0.443958\pi$
$648$	−20.6936	+	14.8248i	−0.812922	+	0.582372i
$649$	−3.18614	+	5.51856i	−0.125067	+	0.216622i
$650$	−2.96514	+	17.3801i	−0.116302	+	0.681706i
$651$	2.53986	−	31.3417i	0.0995450	−	1.22838i
$652$	14.4223	−	6.92133i	0.564822	−	0.271060i
$653$	−3.80777	−	14.2108i	−0.149010	−	0.556111i	−0.999544	−	0.0301921i	$-0.990388\pi$
$653$	−3.80777	−	14.2108i	−0.149010	−	0.556111i	0.850535	−	0.525919i	$-0.176279\pi$
$654$	−1.18824	−	1.40440i	−0.0464639	−	0.0549165i
$655$	0.431808	+	0.747913i	0.0168721	+	0.0292234i
$656$	−2.91047	−	7.47534i	−0.113635	−	0.291863i
$657$	10.4361	−	8.70468i	0.407150	−	0.339602i
$658$	−12.6193	+	36.1760i	−0.491953	+	1.41029i
$659$	−13.5764	+	13.5764i	−0.528861	+	0.528861i	−0.920233	−	0.391372i	$-0.872001\pi$
$659$	−13.5764	+	13.5764i	−0.528861	+	0.528861i	0.391372	+	0.920233i	$0.372001\pi$
$660$	−0.817639	+	1.44825i	−0.0318266	+	0.0563731i
$661$	−1.60347	+	5.98423i	−0.0623678	+	0.232760i	−0.990073	−	0.140554i	$-0.955112\pi$
$661$	−1.60347	+	5.98423i	−0.0623678	+	0.232760i	0.927705	+	0.373313i	$0.121778\pi$
$662$	−2.78967	−	7.53406i	−0.108423	−	0.292820i
$663$	−26.2631	+	18.3321i	−1.01997	+	0.711959i
$664$	−32.8397	−	18.2372i	−1.27443	−	0.707740i
$665$	−14.0007	+	9.96864i	−0.542923	+	0.386567i
$666$	−12.3647	+	7.18187i	−0.479121	+	0.278292i
$667$	−0.367902	−	1.37303i	−0.0142452	−	0.0531640i
$668$	0.356037	+	1.89577i	0.0137755	+	0.0733497i
$669$	−20.0000	−	16.8322i	−0.773245	−	0.650771i
$670$	−16.4724	+	1.53339i	−0.636383	+	0.0592402i
$671$	0.941840			0.0363593
$672$	−3.62642	+	25.6681i	−0.139892	+	0.990167i
$673$	−1.95582			−0.0753913			−0.0376957	−	0.999289i	$-0.512002\pi$
$673$	−1.95582			−0.0753913			−0.0376957	+	0.999289i	$0.512002\pi$
$674$	−11.1200	+	1.03515i	−0.428325	+	0.0398724i
$675$	−20.7070	−	0.0914211i	−0.797014	−	0.00351880i
$676$	1.18604	+	6.31527i	0.0456170	+	0.242895i
$677$	0.699575	+	2.61085i	0.0268868	+	0.100343i	0.978065	−	0.208298i	$-0.0667924\pi$
$677$	0.699575	+	2.61085i	0.0268868	+	0.100343i	−0.951179	+	0.308641i	$0.900126\pi$
$678$	−19.6665	−	13.6513i	−0.755287	−	0.524275i
$679$	−1.42260	−	14.9069i	−0.0545942	−	0.572076i
$680$	8.17690	−	14.7241i	0.313570	−	0.564645i
$681$	−22.2563	−	31.8850i	−0.852862	−	1.22184i
$682$	1.60582	+	4.33684i	0.0614899	+	0.166066i
$683$	−4.23618	+	15.8097i	−0.162093	+	0.604939i	0.836300	+	0.548272i	$0.184714\pi$
$683$	−4.23618	+	15.8097i	−0.162093	+	0.604939i	−0.998393	+	0.0566675i	$0.981953\pi$
$684$	31.5102	−	22.4494i	1.20482	−	0.858375i
$685$	−4.77347	+	4.77347i	−0.182385	+	0.182385i
$686$	−24.3402	+	9.67248i	−0.929311	+	0.369297i
$687$	13.8769	−	29.6450i	0.529435	−	1.13103i
$688$	−12.7377	+	28.9803i	−0.485620	+	1.10486i
$689$	−7.59006	−	13.1464i	−0.289158	−	0.500837i
$690$	−1.55382	+	1.31466i	−0.0591529	+	0.0500482i
$691$	−3.63071	−	13.5500i	−0.138119	−	0.515467i	−0.999966	−	0.00829784i	$-0.997359\pi$
$691$	−3.63071	−	13.5500i	−0.138119	−	0.515467i	0.861847	−	0.507169i	$-0.169308\pi$
$692$	−1.31370	+	0.630450i	−0.0499393	+	0.0239661i
$693$	3.78258	−	0.0186629i	0.143688	−	0.000708945i
$694$	−7.93932	+	46.5363i	−0.301372	+	1.76649i
$695$	0.273244	−	0.473272i	0.0103647	−	0.0179522i
$696$	−3.00781	−	7.88885i	−0.114011	−	0.299026i
$697$	10.2659	−	5.92700i	0.388848	−	0.224501i
$698$	−14.9761	+	18.0505i	−0.566854	+	0.683222i
$699$	7.79453	+	21.5138i	0.294816	+	0.813725i
$700$	−14.6251	+	15.1913i	−0.552778	+	0.574178i
$701$	−28.7514	+	28.7514i	−1.08593	+	1.08593i	−0.0899827	+	0.995943i	$0.528681\pi$
$701$	−28.7514	+	28.7514i	−1.08593	+	1.08593i	−0.995943	+	0.0899827i	$0.971319\pi$
$702$	21.5939	−	7.88742i	0.815008	−	0.297691i
$703$	18.8211	−	10.8663i	0.709850	−	0.409832i
$704$	−1.10893	−	3.64769i	−0.0417942	−	0.137478i
$705$	−14.6512	+	10.2268i	−0.551796	+	0.385163i
$706$	4.45749	+	6.29129i	0.167760	+	0.236776i
$707$	17.7733	+	2.98976i	0.668435	+	0.112441i
$708$	−32.4355	+	33.0669i	−1.21900	+	1.24273i
$709$	10.8615	+	40.5356i	0.407912	+	1.52235i	0.798621	+	0.601834i	$0.205563\pi$
$709$	10.8615	+	40.5356i	0.407912	+	1.52235i	−0.390710	+	0.920514i	$0.627770\pi$
$710$	4.01274	+	10.8372i	0.150596	+	0.406714i
$711$	47.2733	+	17.3638i	1.77289	+	0.651194i
$712$	17.1002	+	4.27788i	0.640857	+	0.160320i
$713$			5.65966i			0.211956i
$714$	−38.3036	+	0.458152i	−1.43348	+	0.0171459i
$715$	1.06205	−	1.06205i	0.0397185	−	0.0397185i
$716$	19.8993	+	1.51839i	0.743670	+	0.0567451i
$717$	27.1479	+	22.8480i	1.01386	+	0.853273i
$718$	3.35969	−	7.31063i	0.125382	−	0.272830i
$719$	−7.91002	+	13.7005i	−0.294994	+	0.510944i	−0.974983	−	0.222277i	$-0.928651\pi$
$719$	−7.91002	+	13.7005i	−0.294994	+	0.510944i	0.679990	+	0.733222i	$0.261984\pi$
$720$	−8.38187	+	8.71141i	−0.312374	+	0.324655i
$721$	−3.09589	+	6.77804i	−0.115297	+	0.252427i
$722$	−26.0555	+	18.4608i	−0.969685	+	0.687040i
$723$	7.33678	−	41.2538i	0.272858	−	1.53425i
$724$	−26.9350	−	18.4175i	−1.00103	−	0.684482i
$725$	1.77753	−	6.63384i	0.0660158	−	0.246374i
$726$	23.8700	−	11.2496i	0.885898	−	0.417513i
$727$	28.9041			1.07200			0.535998	−	0.844219i	$-0.319936\pi$
$727$	28.9041			1.07200			0.535998	+	0.844219i	$0.319936\pi$
$728$	9.37032	−	21.4541i	0.347287	−	0.795142i
$729$	13.2930	+	23.5010i	0.492334	+	0.870407i
$730$	4.12091	−	4.96688i	0.152522	−	0.183833i
$731$	−45.1842	−	12.1071i	−1.67120	−	0.447796i
$732$	6.62961	+	1.70809i	0.245038	+	0.0631328i
$733$	−3.06956	−	11.4558i	−0.113377	−	0.423128i	0.885784	−	0.464099i	$-0.153622\pi$
$733$	−3.06956	−	11.4558i	−0.113377	−	0.423128i	−0.999160	+	0.0409705i	$0.986955\pi$
$734$	−4.52798	+	3.20816i	−0.167131	+	0.118415i
$735$	−11.8421	−	2.99247i	−0.436801	−	0.110379i
$736$	0.277415	−	4.65759i	0.0102256	−	0.171681i
$737$	−4.79246	−	2.76693i	−0.176532	−	0.101921i
$738$	−8.21285	+	2.22363i	−0.302319	+	0.0818531i
$739$	0.0121026	−	0.0451675i	0.000445201	−	0.00166151i	−0.965703	−	0.259650i	$-0.916393\pi$
$739$	0.0121026	−	0.0451675i	0.000445201	−	0.00166151i	0.966148	+	0.257988i	$0.0830596\pi$
$740$	−5.15314	+	4.42248i	−0.189433	+	0.162574i
$741$	−32.8509	+	11.9020i	−1.20681	+	0.437233i
$742$	1.33929	−	18.1061i	0.0491668	−	0.664697i
$743$	−29.9745			−1.09966			−0.549830	−	0.835277i	$-0.685307\pi$
$743$	−29.9745			−1.09966			−0.549830	+	0.835277i	$0.685307\pi$
$744$	3.43822	+	33.4393i	0.126051	+	1.22594i
$745$	−9.82669	−	17.0203i	−0.360022	−	0.623577i
$746$	12.3921	+	33.4675i	0.453708	+	1.22533i
$747$	−22.9486	+	32.5696i	−0.839646	+	1.19166i
$748$	5.07916	−	2.43751i	0.185712	−	0.0891242i
$749$	6.72362	−	2.50735i	0.245676	−	0.0916165i
$750$	−21.8194	+	3.93929i	−0.796734	+	0.143843i
$751$	19.7043	−	34.1289i	0.719021	−	1.24538i	−0.242366	−	0.970185i	$-0.577924\pi$
$751$	19.7043	−	34.1289i	0.719021	−	1.24538i	0.961388	−	0.275197i	$-0.0887430\pi$
$752$	6.21452	−	40.4850i	0.226620	−	1.47634i
$753$	1.36126	+	15.8275i	0.0496071	+	0.576787i
$754$	0.706722	+	7.59190i	0.0257373	+	0.276481i
$755$	−5.84545	−	5.84545i	−0.212738	−	0.212738i
$756$	26.6594	+	6.72859i	0.969595	+	0.244716i
$757$	29.7906	−	29.7906i	1.08276	−	1.08276i	0.0865071	−	0.996251i	$-0.472429\pi$
$757$	29.7906	−	29.7906i	1.08276	−	1.08276i	0.996251	−	0.0865071i	$-0.0275705\pi$
$758$	−13.8775	+	16.7264i	−0.504055	+	0.607532i
$759$	−0.678327	+	0.0583402i	−0.0246217	+	0.00211761i
$760$	12.7738	−	13.2068i	0.463356	−	0.479062i
$761$	−17.8294	−	10.2938i	−0.646317	−	0.373151i	0.140727	−	0.990048i	$-0.455056\pi$
$761$	−17.8294	−	10.2938i	−0.646317	−	0.373151i	−0.787044	+	0.616897i	$0.788389\pi$
$762$	−2.70997	+	3.90406i	−0.0981717	+	0.141429i
$763$	−0.329620	+	1.95950i	−0.0119330	+	0.0709388i
$764$	48.3574	+	16.9946i	1.74951	+	0.614845i
$765$	−14.6030	−	10.2893i	−0.527974	−	0.372012i
$766$	3.29581	−	7.17163i	0.119083	−	0.259122i
$767$	36.2269	−	20.9156i	1.30808	−	0.755218i
$768$	−1.19040	−	27.6872i	−0.0429550	−	0.999077i
$769$			28.5051i			1.02792i	0.857814	+	0.513961i	$0.171822\pi$
$769$			28.5051i			1.02792i	−0.857814	+	0.513961i	$0.828178\pi$
$770$	1.76473	−	0.335671i	0.0635966	−	0.0120967i
$771$	−13.1854	−	36.3931i	−0.474860	−	1.31067i
$772$	−17.9226	−	20.8836i	−0.645047	−	0.751618i
$773$	20.9698	+	5.61885i	0.754232	+	0.202096i	0.615394	−	0.788219i	$-0.288997\pi$
$773$	20.9698	+	5.61885i	0.754232	+	0.202096i	0.138838	+	0.990315i	$0.455663\pi$
$774$	29.1217	+	16.7122i	1.04676	+	0.600707i
$775$	−13.6724	+	23.6813i	−0.491127	+	0.850658i
$776$	4.40043	+	15.3919i	0.157966	+	0.552538i
$777$	14.5469	+	5.18936i	0.521867	+	0.186167i
$778$	1.53199	−	8.97974i	0.0549244	−	0.321939i
$779$	12.4912	−	3.34701i	0.447544	−	0.119919i
$780$	9.40190	−	5.54970i	0.336642	−	0.198711i
$781$	−1.00049	+	3.73388i	−0.0358003	+	0.133609i
$782$	6.86503	−	0.639059i	0.245493	−	0.0228527i
$783$	−8.65995	+	2.27950i	−0.309482	+	0.0814626i
$784$	23.6997	−	14.9105i	0.846418	−	0.532518i
$785$		−	5.70032i		−	0.203453i
$786$	−0.710125	+	1.97612i	−0.0253293	+	0.0704859i
$787$	−3.44562	−	0.923251i	−0.122823	−	0.0329103i	0.196884	−	0.980427i	$-0.436918\pi$
$787$	−3.44562	−	0.923251i	−0.122823	−	0.0329103i	−0.319707	+	0.947516i	$0.603584\pi$
$788$	−24.2038	−	16.5500i	−0.862224	−	0.589569i
$789$	26.3927	+	4.69380i	0.939603	+	0.167104i
$790$	23.5761	+	4.02219i	0.838798	+	0.143103i
$791$	2.45654	+	25.7413i	0.0873445	+	0.915256i
$792$	−3.97235	+	0.756775i	−0.141151	+	0.0268908i
$793$	−5.35443	−	3.09138i	−0.190141	−	0.109778i
$794$	8.23533	+	22.2412i	0.292261	+	0.789310i
$795$	5.45187	−	6.47790i	0.193358	−	0.229747i
$796$	12.7743	+	14.8848i	0.452773	+	0.527578i
$797$	−10.6146	−	10.6146i	−0.375989	−	0.375989i	0.493664	−	0.869653i	$-0.335657\pi$
$797$	−10.6146	−	10.6146i	−0.375989	−	0.375989i	−0.869653	+	0.493664i	$0.835657\pi$
$798$	−40.4919	−	10.3323i	−1.43340	−	0.365760i
$799$	60.5253			2.14123
$800$	12.4124	−	18.8183i	0.438845	−	0.665326i
$801$	6.44624	−	17.5500i	0.227767	−	0.620099i
$802$	−13.7402	−	6.31446i	−0.485182	−	0.222971i
$803$	2.08525	−	0.558742i	0.0735870	−	0.0197176i
$804$	−28.7161	−	28.1679i	−1.01274	−	0.993404i
$805$	2.16798	+	0.364689i	0.0764113	+	0.0128536i
$806$	5.10551	−	29.9260i	0.179834	−	1.05410i
$807$	21.8612	+	31.3190i	0.769551	+	1.10248i
$808$	−19.2648	+	0.321076i	−0.677732	+	0.0112954i
$809$	1.71983	+	2.97883i	0.0604659	+	0.104730i	0.894674	−	0.446720i	$-0.147408\pi$
$809$	1.71983	+	2.97883i	0.0604659	+	0.104730i	−0.834208	+	0.551450i	$0.814075\pi$
$810$	8.23878	+	9.82521i	0.289481	+	0.345223i
$811$	−6.20070	−	6.20070i	−0.217736	−	0.217736i	0.589808	−	0.807544i	$-0.299204\pi$
$811$	−6.20070	−	6.20070i	−0.217736	−	0.217736i	−0.807544	+	0.589808i	$0.799204\pi$
$812$	−4.40887	+	7.98266i	−0.154721	+	0.280136i
$813$	22.3692	−	8.10446i	0.784522	−	0.284236i
$814$	−2.26171	+	0.210540i	−0.0792729	+	0.00737943i
$815$	−4.02895	−	6.97835i	−0.141128	−	0.244441i
$816$	40.1728	−	7.94626i	1.40633	−	0.278175i
$817$	−44.1946	−	25.5158i	−1.54617	−	0.892683i
$818$	−15.2271	−	21.4914i	−0.532403	−	0.751431i
$819$	−21.5655	−	12.3094i	−0.753559	−	0.430124i
$820$	−3.64294	+	1.74826i	−0.127217	+	0.0610520i
$821$	−13.3467	+	3.57624i	−0.465804	+	0.124812i	−0.484085	−	0.875021i	$-0.660847\pi$
$821$	−13.3467	+	3.57624i	−0.465804	+	0.124812i	0.0182810	+	0.999833i	$0.494181\pi$
$822$	−16.3573	−	1.36379i	−0.570525	−	0.0475678i
$823$	−6.36891	+	3.67709i	−0.222006	+	0.128175i	−0.606879	−	0.794794i	$-0.707579\pi$
$823$	−6.36891	+	3.67709i	−0.222006	+	0.128175i	0.384873	+	0.922970i	$0.374245\pi$
$824$	1.93327	−	7.72795i	0.0673485	−	0.269216i
$825$	−2.97921	−	1.39457i	−0.103723	−	0.0485527i
$826$	49.8943	+	3.69062i	1.73604	+	0.128413i
$827$	−13.9529	−	13.9529i	−0.485188	−	0.485188i	0.421596	−	0.906784i	$-0.361470\pi$
$827$	−13.9529	−	13.9529i	−0.485188	−	0.485188i	−0.906784	+	0.421596i	$0.861470\pi$
$828$	−4.88055	−	0.819534i	−0.169611	−	0.0284808i
$829$	−2.94639	−	0.789482i	−0.102332	−	0.0274198i	0.207290	−	0.978280i	$-0.433536\pi$
$829$	−2.94639	−	0.789482i	−0.102332	−	0.0274198i	−0.309622	+	0.950860i	$0.600202\pi$
$830$	−7.90107	+	17.1926i	−0.274250	+	0.596764i
$831$	−8.63243	+	6.02558i	−0.299456	+	0.209025i
$832$	−5.66842	+	24.3772i	−0.196517	+	0.845127i
$833$	27.0917	+	31.2726i	0.938672	+	1.08353i
$834$	1.30762	−	0.236078i	0.0452791	−	0.00817471i
$835$	0.938507	−	0.251472i	0.0324784	−	0.00870255i
$836$	6.04042	−	1.13442i	0.208912	−	0.0392348i
$837$	35.6543	+	0.157413i	1.23239	+	0.00544100i
$838$	29.8700	+	24.7825i	1.03184	+	0.856096i
$839$			23.0947i			0.797317i	0.917099	+	0.398659i	$0.130524\pi$
$839$			23.0947i			0.797317i	−0.917099	+	0.398659i	$0.869476\pi$
$840$	13.0307	+	0.837672i	0.449603	+	0.0289024i
$841$			26.0300i			0.897585i
$842$	1.45012	−	1.74781i	0.0499743	−	0.0602335i
$843$	13.2065	−	15.6919i	0.454855	−	0.540458i
$844$	−32.7771	−	22.4123i	−1.12824	−	0.771462i
$845$	3.12638	−	0.837712i	0.107551	−	0.0288182i
$846$	−41.9927	−	11.1344i	−1.44374	−	0.382810i
$847$	−25.9260	−	11.8418i	−0.890828	−	0.406888i
$848$	2.12080	+	19.2929i	0.0728284	+	0.662522i
$849$	2.83656	+	4.06374i	0.0973505	+	0.139467i
$850$	30.2687	+	13.9103i	1.03821	+	0.477121i
$851$	−2.68517	−	0.719489i	−0.0920465	−	0.0246638i
$852$	−13.8141	+	24.4683i	−0.473263	+	0.838272i
$853$	−32.2158	−	32.2158i	−1.10305	−	1.10305i	−0.994041	−	0.109008i	$-0.965233\pi$
$853$	−32.2158	−	32.2158i	−1.10305	−	1.10305i	−0.109008	−	0.994041i	$-0.534767\pi$
$854$	−3.21485	−	6.65925i	−0.110010	−	0.227875i
$855$	−12.4828	−	14.9656i	−0.426902	−	0.511814i
$856$	−6.57877	+	3.94587i	−0.224858	+	0.134867i
$857$	7.72036	−	4.45735i	0.263722	−	0.152260i	−0.362309	−	0.932058i	$-0.618011\pi$
$857$	7.72036	−	4.45735i	0.263722	−	0.152260i	0.626031	+	0.779798i	$0.284678\pi$
$858$	3.63934	+	0.303432i	0.124245	+	0.0103590i
$859$	−28.6667	+	7.68123i	−0.978096	+	0.262080i	−0.712243	−	0.701933i	$-0.752320\pi$
$859$	−28.6667	+	7.68123i	−0.978096	+	0.262080i	−0.265854	+	0.964013i	$0.585654\pi$
$860$	15.0435	+	5.28687i	0.512979	+	0.180281i
$861$	7.56186	+	5.22300i	0.257707	+	0.178000i
$862$	38.9407	−	27.5902i	1.32633	−	0.939727i
$863$	29.6379	+	17.1115i	1.00889	+	0.582481i	0.910866	−	0.412703i	$-0.135415\pi$
$863$	29.6379	+	17.1115i	1.00889	+	0.582481i	0.0980214	+	0.995184i	$0.468749\pi$
$864$	−29.3339	−	1.87718i	−0.997959	−	0.0638630i
$865$	0.366989	+	0.635643i	0.0124780	+	0.0216125i
$866$	−2.81515	−	30.2415i	−0.0956627	−	1.02765i
$867$	10.5831	+	29.2105i	0.359421	+	0.992042i
$868$	25.1822	−	26.1571i	0.854741	−	0.887831i
$869$	5.65698	+	5.65698i	0.191900	+	0.191900i
$870$	−3.84690	+	1.81300i	−0.130422	+	0.0614664i
$871$	18.1636	+	31.4604i	0.615452	+	1.06599i
$872$	−0.0353985	−	2.12393i	−0.00119874	−	0.0719255i
$873$	16.7303	−	2.89926i	0.566236	−	0.0981251i
$874$	7.41449	+	1.26495i	0.250799	+	0.0427875i
$875$	18.4665	+	15.2489i	0.624280	+	0.515508i
$876$	15.6914	−	0.151244i	0.530164	−	0.00511005i
$877$	31.4047	−	8.41487i	1.06046	−	0.284150i	0.313894	−	0.949458i	$-0.398366\pi$
$877$	31.4047	−	8.41487i	1.06046	−	0.284150i	0.746569	+	0.665308i	$0.231700\pi$
$878$	19.3320	−	42.0662i	0.652424	−	1.41966i
$879$	2.86535	+	33.3157i	0.0966458	+	1.12371i
$880$	−1.78955	+	0.696750i	−0.0603258	+	0.0234874i
$881$	6.50535			0.219171			0.109585	−	0.993977i	$-0.465048\pi$
$881$	6.50535			0.219171			0.109585	+	0.993977i	$0.465048\pi$
$882$	−13.0433	−	26.6809i	−0.439191	−	0.898394i
$883$	−10.1651	−	10.1651i	−0.342084	−	0.342084i	0.515066	−	0.857150i	$-0.327767\pi$
$883$	−10.1651	−	10.1651i	−0.342084	−	0.342084i	−0.857150	+	0.515066i	$0.827767\pi$
$884$	−36.8760	−	2.81379i	−1.24027	−	0.0946379i
$885$	17.8508	+	15.0235i	0.600050	+	0.505008i
$886$	−27.1459	+	10.0514i	−0.911984	+	0.337684i
$887$	−32.7385	−	18.9016i	−1.09925	−	0.634653i	−0.163227	−	0.986588i	$-0.552190\pi$
$887$	−32.7385	−	18.9016i	−1.09925	−	0.634653i	−0.936024	+	0.351935i	$0.885524\pi$
$888$	−16.3020	−	2.61977i	−0.547060	−	0.0879136i
$889$	5.11000	−	0.487656i	0.171384	−	0.0163555i
$890$	1.49322	−	8.75250i	0.0500528	−	0.293384i
$891$	0.348661	+	4.27490i	0.0116806	+	0.143215i
$892$	−5.57139	−	29.6658i	−0.186544	−	0.993284i
$893$	63.7788	+	17.0895i	2.13427	+	0.571877i
$894$	16.1604	−	44.9708i	0.540484	−	1.50405i
$895$		−	10.0526i		−	0.336021i
$896$	−22.0057	+	20.2916i	−0.735160	+	0.677894i
$897$	4.04783	+	1.89479i	0.135153	+	0.0632652i
$898$	5.48310	+	58.9017i	0.182973	+	1.96558i
$899$	−3.06064	+	11.4225i	−0.102078	+	0.380960i
$900$	−18.4415	−	15.2194i	−0.614718	−	0.507312i
$901$	−27.7036	+	7.42316i	−0.922941	+	0.247301i
$902$	−1.33238	−	0.227310i	−0.0443634	−	0.00756860i
$903$	−6.52628	−	35.6746i	−0.217181	−	1.18718i
$904$	−7.59868	−	26.5788i	−0.252728	−	0.883998i
$905$	−8.21794	+	14.2339i	−0.273173	+	0.473150i
$906$	1.67006	−	20.0306i	0.0554841	−	0.665473i
$907$	11.2341	+	3.01018i	0.373024	+	0.0999514i	0.440460	−	0.897772i	$-0.354815\pi$
$907$	11.2341	+	3.01018i	0.373024	+	0.0999514i	−0.0674364	+	0.997724i	$0.521482\pi$
$908$	3.41611	−	44.7697i	0.113368	−	1.48573i
$909$	−1.84105	+	20.3531i	−0.0610636	+	0.675070i
$910$	−11.1344	−	3.88403i	−0.369102	−	0.128754i
$911$		−	37.7652i		−	1.25122i	−0.780137	−	0.625609i	$-0.784851\pi$
$911$		−	37.7652i		−	1.25122i	0.780137	−	0.625609i	$-0.215149\pi$
$912$	44.5759	+	2.96949i	1.47606	+	0.0983296i
$913$	−5.48123	+	3.16459i	−0.181402	+	0.104733i
$914$	−53.7794	−	24.7150i	−1.77886	−	0.817498i
$915$	0.603815	−	3.39518i	0.0199615	−	0.112241i
$916$	34.0751	−	16.3528i	1.12587	−	0.540311i
$917$	2.12513	−	0.792496i	0.0701780	−	0.0261705i
$918$	−3.83496	−	43.2656i	−0.126573	−	1.42798i
$919$	−37.5912	−	21.7033i	−1.24002	−	0.715926i	−0.270922	−	0.962601i	$-0.587328\pi$
$919$	−37.5912	−	21.7033i	−1.24002	−	0.715926i	−0.969098	+	0.246676i	$0.920662\pi$
$920$	−2.34990	+	0.0391646i	−0.0774740	+	0.00129122i
$921$	3.23181	+	37.5766i	0.106492	+	1.23819i
$922$	−35.9945	−	29.8638i	−1.18541	−	0.983512i
$923$	17.9435	−	17.9435i	0.590617	−	0.590617i
$924$	3.39459	+	2.74853i	0.111674	+	0.0904202i
$925$	−9.49725	−	9.49725i	−0.312268	−	0.312268i
$926$	52.8068	−	4.91573i	1.73534	−	0.161541i
$927$	−7.93122	−	2.91319i	−0.260496	−	0.0956818i
$928$	3.07862	−	9.25004i	0.101061	−	0.303647i
$929$	7.37796	−	12.7790i	0.242063	−	0.419266i	−0.719239	−	0.694763i	$-0.755509\pi$
$929$	7.37796	−	12.7790i	0.242063	−	0.419266i	0.961302	+	0.275497i	$0.0888425\pi$
$930$	16.6631	−	3.00836i	0.546404	−	0.0986479i
$931$	19.7181	+	40.6030i	0.646234	+	1.33071i
$932$	−8.76050	+	24.9275i	−0.286960	+	0.816529i
$933$	9.10984	−	51.2236i	0.298243	−	1.67698i
$934$	−14.7316	+	5.45473i	−0.482033	+	0.178484i
$935$	−1.41889	−	2.45759i	−0.0464027	−	0.0803717i
$936$	25.0671	+	8.73605i	0.819342	+	0.285547i
$937$	13.9545			0.455873			0.227936	−	0.973676i	$-0.426802\pi$
$937$	13.9545			0.455873			0.227936	+	0.973676i	$0.426802\pi$
$938$	−3.20503	+	43.3295i	−0.104648	+	1.41476i
$939$	18.0914	+	49.9342i	0.590390	+	1.62954i
$940$	−20.5717	−	1.56971i	−0.670975	−	0.0511981i
$941$	−0.198363	+	0.740300i	−0.00646645	+	0.0241331i	−0.969084	−	0.246732i	$-0.920643\pi$
$941$	−0.198363	+	0.740300i	−0.00646645	+	0.0241331i	0.962617	+	0.270865i	$0.0873098\pi$
$942$	10.5810	−	8.95236i	0.344746	−	0.291684i
$943$	−1.43254	−	0.827076i	−0.0466498	−	0.0269333i
$944$	−53.1647	+	5.84418i	−1.73036	+	0.190212i
$945$	2.35774	−	13.6475i	0.0766973	−	0.443955i
$946$	3.08356	+	4.35212i	0.100255	+	0.141500i
$947$	−13.4301	−	50.1218i	−0.436420	−	1.62874i	−0.737646	−	0.675188i	$-0.764063\pi$
$947$	−13.4301	−	50.1218i	−0.436420	−	1.62874i	0.301226	−	0.953553i	$-0.402604\pi$
$948$	29.5602	+	50.0788i	0.960071	+	1.62648i
$949$	−13.6888	−	3.66789i	−0.444356	−	0.119065i
$950$	27.9681	+	23.2045i	0.907405	+	0.752853i
$951$	−47.6914	−	22.3243i	−1.54650	−	0.723917i
$952$	−34.5714	−	27.5919i	−1.12047	−	0.894259i
$953$	16.7253			0.541785			0.270893	−	0.962610i	$-0.412681\pi$
$953$	16.7253			0.541785			0.270893	+	0.962610i	$0.412681\pi$
$954$	20.5865	−	0.0537653i	0.666511	−	0.00174072i
$955$	6.68231	−	24.9387i	0.216235	−	0.806999i
$956$	7.56257	+	40.2682i	0.244591	+	1.30237i
$957$	−1.40056	−	0.249083i	−0.0452738	−	0.00805171i
$958$	2.94948	+	4.16289i	0.0952934	+	0.134497i
$959$	10.2831	+	14.4423i	0.332059	+	0.466367i
$960$	−13.8603	+	1.65895i	−0.447338	+	0.0535425i
$961$	8.04180	−	13.9288i	0.259413	−	0.449316i
$962$	13.5490	+	6.22663i	0.436839	+	0.200754i
$963$	3.41701	+	7.38447i	0.110112	+	0.237961i
$964$	36.7160	−	31.5100i	1.18254	−	1.01487i
$965$	−9.80192	+	9.80192i	−0.315535	+	0.315535i
$966$	2.72788	+	4.59696i	0.0877680	+	0.147905i
$967$		−	15.5853i		−	0.501190i	−0.968092	−	0.250595i	$-0.919374\pi$
$967$		−	15.5853i		−	0.501190i	0.968092	−	0.250595i	$-0.0806262\pi$
$968$	29.5594	+	7.39474i	0.950075	+	0.237676i
$969$	5.65686	+	65.7729i	0.181724	+	2.11293i
$970$	7.56194	−	2.79999i	0.242799	−	0.0899022i
$971$	−11.6943	−	43.6437i	−0.375287	−	1.40059i	−0.852925	−	0.522034i	$-0.825173\pi$
$971$	−11.6943	−	43.6437i	−0.375287	−	1.40059i	0.477637	−	0.878557i	$-0.341493\pi$
$972$	−5.29859	+	30.7234i	−0.169952	+	0.985452i
$973$	−1.10668	−	0.913854i	−0.0354784	−	0.0292968i
$974$	12.6363	−	8.95305i	0.404893	−	0.286874i
$975$	12.3597	+	17.7068i	0.395826	+	0.567072i
$976$	4.67700	+	6.37323i	0.149707	+	0.204002i
$977$	−18.0100	+	10.3981i	−0.576191	+	0.332664i	−0.759618	−	0.650369i	$-0.774614\pi$
$977$	−18.0100	+	10.3981i	−0.576191	+	0.332664i	0.183427	+	0.983033i	$0.441281\pi$
$978$	6.62576	−	18.4380i	0.211869	−	0.589584i
$979$	2.10013	−	2.10013i	0.0671203	−	0.0671203i
$980$	−8.39705	−	11.3317i	−0.268234	−	0.361979i
$981$	−2.24392	−	0.202975i	−0.0716430	−	0.00648048i
$982$	10.9069	+	9.04925i	0.348055	+	0.288773i
$983$	32.6082	−	18.8264i	1.04004	−	0.600468i	0.120196	−	0.992750i	$-0.461648\pi$
$983$	32.6082	−	18.8264i	1.04004	−	0.600468i	0.919845	+	0.392283i	$0.128314\pi$
$984$	−8.96638	−	4.01639i	−0.285838	−	0.128038i
$985$	−7.38465	+	12.7906i	−0.235294	+	0.407542i
$986$	14.2008	+	2.42272i	0.452244	+	0.0771550i
$987$	20.1032	+	42.4003i	0.639892	+	1.34962i
$988$	−38.0637	−	13.3771i	−1.21097	−	0.425581i
$989$	1.68947	+	6.30517i	0.0537219	+	0.200493i
$990$	0.532325	+	1.96611i	0.0169184	+	0.0624870i
$991$	10.8712	+	18.8294i	0.345334	+	0.598135i	0.985414	−	0.170172i	$-0.0544325\pi$
$991$	10.8712	+	18.8294i	0.345334	+	0.598135i	−0.640081	+	0.768308i	$0.721099\pi$
$992$	−21.3723	+	32.4022i	−0.678571	+	1.02877i
$993$	−8.91152	−	4.17149i	−0.282798	−	0.132378i
$994$	29.8153	−	5.67119i	0.945685	−	0.179879i
$995$	6.98633	−	6.98633i	0.221481	−	0.221481i
$996$	−44.3216	+	12.3350i	−1.40438	+	0.390849i
$997$	0.921936	−	3.44071i	0.0291980	−	0.108968i	−0.949789	−	0.312891i	$-0.898702\pi$
$997$	0.921936	−	3.44071i	0.0291980	−	0.108968i	0.978987	+	0.203923i	$0.0653691\pi$
$998$	−7.41704	+	2.74634i	−0.234782	+	0.0869337i
$999$	−4.60727	+	16.8958i	−0.145768	+	0.534561i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	336.2.bo.a.173.59	yes	240
3.2	odd	2	inner	336.2.bo.a.173.2	yes	240
7.3	odd	6	inner	336.2.bo.a.269.22	yes	240
16.5	even	4	inner	336.2.bo.a.5.39	yes	240
21.17	even	6	inner	336.2.bo.a.269.39	yes	240
48.5	odd	4	inner	336.2.bo.a.5.22	✓	240
112.101	odd	12	inner	336.2.bo.a.101.2	yes	240
336.101	even	12	inner	336.2.bo.a.101.59	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
336.2.bo.a.5.22	✓	240	48.5	odd	4	inner
336.2.bo.a.5.39	yes	240	16.5	even	4	inner
336.2.bo.a.101.2	yes	240	112.101	odd	12	inner
336.2.bo.a.101.59	yes	240	336.101	even	12	inner
336.2.bo.a.173.2	yes	240	3.2	odd	2	inner
336.2.bo.a.173.59	yes	240	1.1	even	1	trivial
336.2.bo.a.269.22	yes	240	7.3	odd	6	inner
336.2.bo.a.269.39	yes	240	21.17	even	6	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.bo (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.40813 - 0.131081i) q^{2} +(1.11529 - 1.32519i) q^{3} +(1.96564 - 0.369157i) q^{4} +(-0.260739 - 0.973091i) q^{5} +(1.39676 - 2.01222i) q^{6} +(-2.63379 + 0.251347i) q^{7} +(2.71947 - 0.777477i) q^{8} +(-0.512247 - 2.95594i) q^{9} +O(q^{10})\)	\(q+(1.40813 - 0.131081i) q^{2} +(1.11529 - 1.32519i) q^{3} +(1.96564 - 0.369157i) q^{4} +(-0.260739 - 0.973091i) q^{5} +(1.39676 - 2.01222i) q^{6} +(-2.63379 + 0.251347i) q^{7} +(2.71947 - 0.777477i) q^{8} +(-0.512247 - 2.95594i) q^{9} +(-0.494707 - 1.33606i) q^{10} +(0.123344 - 0.460328i) q^{11} +(1.70306 - 3.01655i) q^{12} +(-2.21214 + 2.21214i) q^{13} +(-3.67575 + 0.699167i) q^{14} +(-1.58033 - 0.739753i) q^{15} +(3.72745 - 1.45126i) q^{16} +(2.95540 + 5.11890i) q^{17} +(-1.10878 - 4.09519i) q^{18} +(1.66893 + 6.22852i) q^{19} +(-0.871741 - 1.81649i) q^{20} +(-2.60436 + 3.77059i) q^{21} +(0.113344 - 0.664367i) q^{22} +(0.412407 - 0.714309i) q^{23} +(2.00270 - 4.47093i) q^{24} +(3.45121 - 1.99255i) q^{25} +(-2.82501 + 3.40495i) q^{26} +(-4.48849 - 2.61792i) q^{27} +(-5.08428 + 1.46634i) q^{28} +(1.21861 - 1.21861i) q^{29} +(-2.32227 - 0.834514i) q^{30} +(-5.94245 + 3.43087i) q^{31} +(5.05848 - 2.53215i) q^{32} +(-0.472455 - 0.676854i) q^{33} +(4.83256 + 6.82065i) q^{34} +(0.931314 + 2.49738i) q^{35} +(-2.09810 - 5.62121i) q^{36} +(-0.872306 - 3.25549i) q^{37} +(3.16650 + 8.55177i) q^{38} +(0.464320 + 5.39869i) q^{39} +(-1.46563 - 2.44358i) q^{40} -2.00549i q^{41} +(-3.17301 + 5.65084i) q^{42} +(-5.59606 + 5.59606i) q^{43} +(0.0725171 - 0.950370i) q^{44} +(-2.74284 + 1.26919i) q^{45} +(0.487088 - 1.05990i) q^{46} +(5.11990 - 8.86792i) q^{47} +(2.23401 - 6.55814i) q^{48} +(6.87365 - 1.32399i) q^{49} +(4.59854 - 3.25815i) q^{50} +(10.0796 + 1.79261i) q^{51} +(-3.53164 + 5.16490i) q^{52} +(-1.25587 + 4.68695i) q^{53} +(-6.66351 - 3.09800i) q^{54} -0.480101 q^{55} +(-6.96709 + 2.73124i) q^{56} +(10.1153 + 4.73498i) q^{57} +(1.55622 - 1.87570i) q^{58} +(-12.9156 - 3.46073i) q^{59} +(-3.37944 - 0.870695i) q^{60} +(0.511505 + 1.90896i) q^{61} +(-7.91799 + 5.61004i) q^{62} +(2.09211 + 7.65657i) q^{63} +(6.79106 - 4.22865i) q^{64} +(2.72941 + 1.57583i) q^{65} +(-0.753999 - 0.891166i) q^{66} +(3.00539 - 11.2163i) q^{67} +(7.69891 + 8.97088i) q^{68} +(-0.486640 - 1.34318i) q^{69} +(1.63877 + 3.39454i) q^{70} -8.11135 q^{71} +(-3.69122 - 7.64035i) q^{72} +(2.26497 + 3.92304i) q^{73} +(-1.65505 - 4.46980i) q^{74} +(1.20859 - 6.79578i) q^{75} +(5.57980 + 11.6269i) q^{76} +(-0.209161 + 1.24341i) q^{77} +(1.36149 + 7.54118i) q^{78} +(-8.39356 + 14.5381i) q^{79} +(-2.38409 - 3.24875i) q^{80} +(-8.47521 + 3.02834i) q^{81} +(-0.262881 - 2.82398i) q^{82} +(-9.39095 - 9.39095i) q^{83} +(-3.72728 + 8.37301i) q^{84} +(4.21057 - 4.21057i) q^{85} +(-7.14642 + 8.61349i) q^{86} +(-0.255782 - 2.97400i) q^{87} +(-0.0224622 - 1.34775i) q^{88} +(5.39719 + 3.11607i) q^{89} +(-3.69590 + 2.14672i) q^{90} +(5.27030 - 6.38233i) q^{91} +(0.546949 - 1.55631i) q^{92} +(-2.08101 + 11.7013i) q^{93} +(6.04704 - 13.1583i) q^{94} +(5.62576 - 3.24804i) q^{95} +(2.28611 - 9.52752i) q^{96} +5.65989i q^{97} +(9.50541 - 2.76534i) q^{98} +(-1.42389 - 0.128798i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 6 q^{3} - 4 q^{4}+O(q^{10}) \) 240 * q - 6 * q^3 - 4 * q^4	\( 240 q - 6 q^{3} - 4 q^{4} - 12 q^{10} - 6 q^{12} - 16 q^{15} - 20 q^{16} - 4 q^{18} - 12 q^{19} + 2 q^{21} - 40 q^{22} - 6 q^{24} - 12 q^{28} + 22 q^{30} - 24 q^{31} - 12 q^{33} - 64 q^{36} - 4 q^{37} + 48 q^{40} - 18 q^{42} - 16 q^{43} - 6 q^{45} + 12 q^{46} - 16 q^{49} - 10 q^{51} - 48 q^{52} - 90 q^{54} - 4 q^{58} - 18 q^{60} - 12 q^{61} - 36 q^{63} + 32 q^{64} - 66 q^{66} - 36 q^{67} - 76 q^{70} - 46 q^{72} + 24 q^{75} - 76 q^{78} - 8 q^{79} - 4 q^{81} + 72 q^{82} - 24 q^{84} + 24 q^{85} + 12 q^{88} - 88 q^{91} - 14 q^{93} + 24 q^{94} + 96 q^{96} + 28 q^{99}+O(q^{100}) \) 240 * q - 6 * q^3 - 4 * q^4 - 12 * q^10 - 6 * q^12 - 16 * q^15 - 20 * q^16 - 4 * q^18 - 12 * q^19 + 2 * q^21 - 40 * q^22 - 6 * q^24 - 12 * q^28 + 22 * q^30 - 24 * q^31 - 12 * q^33 - 64 * q^36 - 4 * q^37 + 48 * q^40 - 18 * q^42 - 16 * q^43 - 6 * q^45 + 12 * q^46 - 16 * q^49 - 10 * q^51 - 48 * q^52 - 90 * q^54 - 4 * q^58 - 18 * q^60 - 12 * q^61 - 36 * q^63 + 32 * q^64 - 66 * q^66 - 36 * q^67 - 76 * q^70 - 46 * q^72 + 24 * q^75 - 76 * q^78 - 8 * q^79 - 4 * q^81 + 72 * q^82 - 24 * q^84 + 24 * q^85 + 12 * q^88 - 88 * q^91 - 14 * q^93 + 24 * q^94 + 96 * q^96 + 28 * q^99

Introduction

L-functions

Modular forms

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