LMFDB - Embedded newform 930.2.bj.b.337.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(277,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 5, 6]))

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

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

chi := DirichletCharacter("930.277");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.bj (of order $20$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$16$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			337.1
Character	$\chi$	$=$	930.337
Dual form			930.2.bj.b.643.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.453990 + 0.891007i) q^{2} +(0.891007 - 0.453990i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-2.20246 + 0.386226i) q^{5} +1.00000i q^{6} +(3.54459 + 0.561408i) q^{7} +(0.987688 - 0.156434i) q^{8} +(0.587785 - 0.809017i) q^{9} +O(q^{10})$	\(q+(-0.453990 + 0.891007i) q^{2} +(0.891007 - 0.453990i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-2.20246 + 0.386226i) q^{5} +1.00000i q^{6} +(3.54459 + 0.561408i) q^{7} +(0.987688 - 0.156434i) q^{8} +(0.587785 - 0.809017i) q^{9} +(0.655766 - 2.13775i) q^{10} +(-2.77733 - 3.82267i) q^{11} +(-0.891007 - 0.453990i) q^{12} +(-3.52414 + 1.79564i) q^{13} +(-2.10943 + 2.90338i) q^{14} +(-1.78706 + 1.34403i) q^{15} +(-0.309017 + 0.951057i) q^{16} +(5.44454 - 0.862330i) q^{17} +(0.453990 + 0.891007i) q^{18} +(6.26429 - 2.03539i) q^{19} +(1.60704 + 1.55481i) q^{20} +(3.41313 - 1.10899i) q^{21} +(4.66690 - 0.739165i) q^{22} +(0.588167 + 3.71354i) q^{23} +(0.809017 - 0.587785i) q^{24} +(4.70166 - 1.70129i) q^{25} -3.95524i q^{26} +(0.156434 - 0.987688i) q^{27} +(-1.62927 - 3.19762i) q^{28} +(-1.93546 - 5.95675i) q^{29} +(-0.386226 - 2.20246i) q^{30} +(5.50549 + 0.830396i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(-4.21007 - 2.14514i) q^{33} +(-1.70343 + 5.24261i) q^{34} +(-8.02365 + 0.132534i) q^{35} -1.00000 q^{36} +(-2.81418 + 2.81418i) q^{37} +(-1.03038 + 6.50557i) q^{38} +(-2.32483 + 3.19985i) q^{39} +(-2.11492 + 0.726011i) q^{40} +(-2.37945 - 7.32319i) q^{41} +(-0.561408 + 3.54459i) q^{42} +(4.71077 - 9.24540i) q^{43} +(-1.46013 + 4.49381i) q^{44} +(-0.982110 + 2.00885i) q^{45} +(-3.57581 - 1.16185i) q^{46} +(5.56713 - 2.83660i) q^{47} +(0.156434 + 0.987688i) q^{48} +(5.59156 + 1.81681i) q^{49} +(-0.618645 + 4.96158i) q^{50} +(4.45963 - 3.24011i) q^{51} +(3.52414 + 1.79564i) q^{52} +(1.35088 + 8.52910i) q^{53} +(0.809017 + 0.587785i) q^{54} +(7.59337 + 7.34659i) q^{55} +3.58878 q^{56} +(4.65747 - 4.65747i) q^{57} +(6.18618 + 0.979795i) q^{58} +(1.05914 + 0.344135i) q^{59} +(2.13775 + 0.655766i) q^{60} -0.671847i q^{61} +(-3.23933 + 4.52844i) q^{62} +(2.53765 - 2.53765i) q^{63} +(0.951057 - 0.309017i) q^{64} +(7.06826 - 5.31594i) q^{65} +(3.82267 - 2.77733i) q^{66} +(7.66300 + 7.66300i) q^{67} +(-3.89786 - 3.89786i) q^{68} +(2.20997 + 3.04176i) q^{69} +(3.52457 - 7.20930i) q^{70} +(4.02335 + 2.92314i) q^{71} +(0.453990 - 0.891007i) q^{72} +(-3.30322 - 0.523179i) q^{73} +(-1.22984 - 3.78506i) q^{74} +(3.41684 - 3.65037i) q^{75} +(-5.32872 - 3.87154i) q^{76} +(-7.69842 - 15.1090i) q^{77} +(-1.79564 - 3.52414i) q^{78} +(10.3339 + 7.50804i) q^{79} +(0.313275 - 2.21401i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(7.60525 + 1.20455i) q^{82} +(5.07941 - 9.96890i) q^{83} +(-2.90338 - 2.10943i) q^{84} +(-11.6583 + 4.00207i) q^{85} +(6.09907 + 8.39465i) q^{86} +(-4.42882 - 4.42882i) q^{87} +(-3.34113 - 3.34113i) q^{88} +(-2.94622 + 2.14055i) q^{89} +(-1.34403 - 1.78706i) q^{90} +(-13.4997 + 4.38633i) q^{91} +(2.65860 - 2.65860i) q^{92} +(5.28242 - 1.75955i) q^{93} +6.24814i q^{94} +(-13.0107 + 6.90229i) q^{95} +(-0.951057 - 0.309017i) q^{96} +(7.57737 + 1.20014i) q^{97} +(-4.15730 + 4.15730i) q^{98} -4.72507 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q + 4 q^{7}+O(q^{10}) $ 128 * q + 4 * q^7	$ 128 q + 4 q^{7} - 4 q^{10} - 4 q^{15} + 32 q^{16} + 12 q^{17} + 40 q^{19} + 40 q^{21} + 4 q^{22} + 32 q^{24} - 8 q^{25} - 4 q^{28} - 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} - 64 q^{37} - 16 q^{38} - 24 q^{41} + 16 q^{42} - 24 q^{43} + 8 q^{44} + 20 q^{46} - 12 q^{47} + 100 q^{49} - 24 q^{50} + 64 q^{53} + 32 q^{54} + 68 q^{55} - 16 q^{57} + 40 q^{58} + 8 q^{62} - 4 q^{63} + 84 q^{65} - 12 q^{66} - 32 q^{67} - 8 q^{68} + 88 q^{70} + 24 q^{71} + 20 q^{73} + 16 q^{74} - 24 q^{75} - 24 q^{76} + 60 q^{77} + 56 q^{79} + 32 q^{81} - 16 q^{82} + 8 q^{83} - 68 q^{85} - 20 q^{87} + 4 q^{88} - 136 q^{89} - 40 q^{91} + 48 q^{93} - 92 q^{95} + 64 q^{97} - 16 q^{98} + 8 q^{99}+O(q^{100}) $ 128 * q + 4 * q^7 - 4 * q^10 - 4 * q^15 + 32 * q^16 + 12 * q^17 + 40 * q^19 + 40 * q^21 + 4 * q^22 + 32 * q^24 - 8 * q^25 - 4 * q^28 - 8 * q^29 + 20 * q^31 + 4 * q^33 + 24 * q^35 - 128 * q^36 - 64 * q^37 - 16 * q^38 - 24 * q^41 + 16 * q^42 - 24 * q^43 + 8 * q^44 + 20 * q^46 - 12 * q^47 + 100 * q^49 - 24 * q^50 + 64 * q^53 + 32 * q^54 + 68 * q^55 - 16 * q^57 + 40 * q^58 + 8 * q^62 - 4 * q^63 + 84 * q^65 - 12 * q^66 - 32 * q^67 - 8 * q^68 + 88 * q^70 + 24 * q^71 + 20 * q^73 + 16 * q^74 - 24 * q^75 - 24 * q^76 + 60 * q^77 + 56 * q^79 + 32 * q^81 - 16 * q^82 + 8 * q^83 - 68 * q^85 - 20 * q^87 + 4 * q^88 - 136 * q^89 - 40 * q^91 + 48 * q^93 - 92 * q^95 + 64 * q^97 - 16 * q^98 + 8 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$187$	$311$	$871$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$1$	$e\left(\frac{1}{10}\right)$

Coefficient data

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

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

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

$2$	−0.453990	+	0.891007i	−0.321020	+	0.630037i
$2$	−0.453990	+	0.891007i	−0.321020	+	0.630037i
$3$	0.891007	−	0.453990i	0.514423	−	0.262112i
$3$	0.891007	−	0.453990i	0.514423	−	0.262112i
$4$	−0.587785	−	0.809017i	−0.293893	−	0.404508i
$5$	−2.20246	+	0.386226i	−0.984970	+	0.172725i
$5$	−2.20246	+	0.386226i	−0.984970	+	0.172725i
$6$			1.00000i			0.408248i
$7$	3.54459	+	0.561408i	1.33973	+	0.212192i	0.784823	−	0.619720i	$-0.212754\pi$
$7$	3.54459	+	0.561408i	1.33973	+	0.212192i	0.554907	+	0.831912i	$0.312754\pi$
$8$	0.987688	−	0.156434i	0.349201	−	0.0553079i
$9$	0.587785	−	0.809017i	0.195928	−	0.269672i
$10$	0.655766	−	2.13775i	0.207371	−	0.676016i
$11$	−2.77733	−	3.82267i	−0.837396	−	1.15258i	−0.986501	−	0.163756i	$-0.947639\pi$
$11$	−2.77733	−	3.82267i	−0.837396	−	1.15258i	0.149105	−	0.988821i	$-0.452361\pi$
$12$	−0.891007	−	0.453990i	−0.257211	−	0.131056i
$13$	−3.52414	+	1.79564i	−0.977421	+	0.498021i	−0.868317	−	0.496009i	$-0.834798\pi$
$13$	−3.52414	+	1.79564i	−0.977421	+	0.498021i	−0.109104	+	0.994030i	$0.534798\pi$
$14$	−2.10943	+	2.90338i	−0.563769	+	0.775961i
$15$	−1.78706	+	1.34403i	−0.461418	+	0.347026i
$16$	−0.309017	+	0.951057i	−0.0772542	+	0.237764i
$17$	5.44454	−	0.862330i	1.32049	−	0.209146i	0.543902	−	0.839149i	$-0.316946\pi$
$17$	5.44454	−	0.862330i	1.32049	−	0.209146i	0.776593	+	0.630003i	$0.216946\pi$
$18$	0.453990	+	0.891007i	0.107007	+	0.210012i
$19$	6.26429	−	2.03539i	1.43713	−	0.466951i	0.516126	−	0.856513i	$-0.327374\pi$
$19$	6.26429	−	2.03539i	1.43713	−	0.466951i	0.921000	+	0.389562i	$0.127374\pi$
$20$	1.60704	+	1.55481i	0.359344	+	0.347666i
$21$	3.41313	−	1.10899i	0.744806	−	0.242002i
$22$	4.66690	−	0.739165i	0.994987	−	0.157590i
$23$	0.588167	+	3.71354i	0.122641	+	0.774326i	0.969964	+	0.243248i	$0.0782129\pi$
$23$	0.588167	+	3.71354i	0.122641	+	0.774326i	−0.847323	+	0.531078i	$0.821787\pi$
$24$	0.809017	−	0.587785i	0.165140	−	0.119981i
$25$	4.70166	−	1.70129i	0.940332	−	0.340259i
$26$		−	3.95524i		−	0.775686i
$27$	0.156434	−	0.987688i	0.0301058	−	0.190081i
$28$	−1.62927	−	3.19762i	−0.307903	−	0.604294i
$29$	−1.93546	−	5.95675i	−0.359407	−	1.10614i	−0.953410	−	0.301677i	$-0.902453\pi$
$29$	−1.93546	−	5.95675i	−0.359407	−	1.10614i	0.594003	−	0.804462i	$-0.297547\pi$
$30$	−0.386226	−	2.20246i	−0.0705149	−	0.402112i
$31$	5.50549	+	0.830396i	0.988816	+	0.149143i
$31$	5.50549	+	0.830396i	0.988816	+	0.149143i
$32$	−0.707107	−	0.707107i	−0.125000	−	0.125000i
$33$	−4.21007	−	2.14514i	−0.732880	−	0.373421i
$34$	−1.70343	+	5.24261i	−0.292135	+	0.899100i
$35$	−8.02365	+	0.132534i	−1.35624	+	0.0224023i
$36$	−1.00000			−0.166667
$37$	−2.81418	+	2.81418i	−0.462648	+	0.462648i	−0.899523	−	0.436874i	$-0.856085\pi$
$37$	−2.81418	+	2.81418i	−0.462648	+	0.462648i	0.436874	+	0.899523i	$0.356085\pi$
$38$	−1.03038	+	6.50557i	−0.167150	+	1.05534i
$39$	−2.32483	+	3.19985i	−0.372271	+	0.512387i
$40$	−2.11492	+	0.726011i	−0.334399	+	0.114792i
$41$	−2.37945	−	7.32319i	−0.371607	−	1.14369i	−0.945739	−	0.324927i	$-0.894660\pi$
$41$	−2.37945	−	7.32319i	−0.371607	−	1.14369i	0.574132	−	0.818763i	$-0.305340\pi$
$42$	−0.561408	+	3.54459i	−0.0866272	+	0.546943i
$43$	4.71077	−	9.24540i	0.718385	−	1.40991i	−0.185721	−	0.982603i	$-0.559462\pi$
$43$	4.71077	−	9.24540i	0.718385	−	1.40991i	0.904106	−	0.427308i	$-0.140538\pi$
$44$	−1.46013	+	4.49381i	−0.220123	+	0.677468i
$45$	−0.982110	+	2.00885i	−0.146404	+	0.299461i
$46$	−3.57581	−	1.16185i	−0.527224	−	0.171306i
$47$	5.56713	−	2.83660i	0.812050	−	0.413760i	0.00191098	−	0.999998i	$-0.499392\pi$
$47$	5.56713	−	2.83660i	0.812050	−	0.413760i	0.810139	+	0.586238i	$0.199392\pi$
$48$	0.156434	+	0.987688i	0.0225794	+	0.142561i
$49$	5.59156	+	1.81681i	0.798794	+	0.259544i
$50$	−0.618645	+	4.96158i	−0.0874896	+	0.701673i
$51$	4.45963	−	3.24011i	0.624473	−	0.453706i
$52$	3.52414	+	1.79564i	0.488711	+	0.249010i
$53$	1.35088	+	8.52910i	0.185557	+	1.17156i	0.888008	+	0.459829i	$0.152089\pi$
$53$	1.35088	+	8.52910i	0.185557	+	1.17156i	−0.702450	+	0.711733i	$0.747911\pi$
$54$	0.809017	+	0.587785i	0.110093	+	0.0799874i
$55$	7.59337	+	7.34659i	1.02389	+	0.990614i
$56$	3.58878			0.479570
$57$	4.65747	−	4.65747i	0.616897	−	0.616897i
$58$	6.18618	+	0.979795i	0.812285	+	0.128653i
$59$	1.05914	+	0.344135i	0.137888	+	0.0448025i	0.377148	−	0.926153i	$-0.376905\pi$
$59$	1.05914	+	0.344135i	0.137888	+	0.0448025i	−0.239260	+	0.970956i	$0.576905\pi$
$60$	2.13775	+	0.655766i	0.275982	+	0.0846590i
$61$		−	0.671847i		−	0.0860212i	−0.999075	−	0.0430106i	$-0.986305\pi$
$61$		−	0.671847i		−	0.0860212i	0.999075	−	0.0430106i	$-0.0136949\pi$
$62$	−3.23933	+	4.52844i	−0.411395	+	0.575112i
$63$	2.53765	−	2.53765i	0.319714	−	0.319714i
$64$	0.951057	−	0.309017i	0.118882	−	0.0386271i
$65$	7.06826	−	5.31594i	0.876710	−	0.659361i
$66$	3.82267	−	2.77733i	0.470538	−	0.341866i
$67$	7.66300	+	7.66300i	0.936185	+	0.936185i	0.998082	−	0.0618979i	$-0.0197153\pi$
$67$	7.66300	+	7.66300i	0.936185	+	0.936185i	−0.0618979	+	0.998082i	$0.519715\pi$
$68$	−3.89786	−	3.89786i	−0.472685	−	0.472685i
$69$	2.20997	+	3.04176i	0.266049	+	0.366185i
$70$	3.52457	−	7.20930i	0.421267	−	0.861676i
$71$	4.02335	+	2.92314i	0.477484	+	0.346913i	0.800351	−	0.599532i	$-0.204647\pi$
$71$	4.02335	+	2.92314i	0.477484	+	0.346913i	−0.322867	+	0.946444i	$0.604647\pi$
$72$	0.453990	−	0.891007i	0.0535033	−	0.105006i
$73$	−3.30322	−	0.523179i	−0.386613	−	0.0612335i	−0.0398973	−	0.999204i	$-0.512703\pi$
$73$	−3.30322	−	0.523179i	−0.386613	−	0.0612335i	−0.346716	+	0.937970i	$0.612703\pi$
$74$	−1.22984	−	3.78506i	−0.142966	−	0.440005i
$75$	3.41684	−	3.65037i	0.394542	−	0.421509i
$76$	−5.32872	−	3.87154i	−0.611246	−	0.444096i
$77$	−7.69842	−	15.1090i	−0.877317	−	1.72183i
$78$	−1.79564	−	3.52414i	−0.203316	−	0.399031i
$79$	10.3339	+	7.50804i	1.16266	+	0.844721i	0.990112	−	0.140281i	$-0.0448005\pi$
$79$	10.3339	+	7.50804i	1.16266	+	0.844721i	0.172546	+	0.985001i	$0.444801\pi$
$80$	0.313275	−	2.21401i	0.0350252	−	0.247534i
$81$	−0.309017	−	0.951057i	−0.0343352	−	0.105673i
$82$	7.60525	+	1.20455i	0.839860	+	0.133021i
$83$	5.07941	−	9.96890i	0.557537	−	1.09423i	−0.424480	−	0.905437i	$-0.639543\pi$
$83$	5.07941	−	9.96890i	0.557537	−	1.09423i	0.982017	−	0.188791i	$-0.0604570\pi$
$84$	−2.90338	−	2.10943i	−0.316785	−	0.230158i
$85$	−11.6583	+	4.00207i	−1.26452	+	0.434085i
$86$	6.09907	+	8.39465i	0.657679	+	0.905218i
$87$	−4.42882	−	4.42882i	−0.474819	−	0.474819i
$88$	−3.34113	−	3.34113i	−0.356166	−	0.356166i
$89$	−2.94622	+	2.14055i	−0.312299	+	0.226898i	−0.732882	−	0.680356i	$-0.761825\pi$
$89$	−2.94622	+	2.14055i	−0.312299	+	0.226898i	0.420584	+	0.907254i	$0.361825\pi$
$90$	−1.34403	−	1.78706i	−0.141673	−	0.188373i
$91$	−13.4997	+	4.38633i	−1.41516	+	0.459812i
$92$	2.65860	−	2.65860i	0.277178	−	0.277178i
$93$	5.28242	−	1.75955i	0.547762	−	0.182457i
$94$			6.24814i			0.644446i
$95$	−13.0107	+	6.90229i	−1.33487	+	0.708160i
$96$	−0.951057	−	0.309017i	−0.0970668	−	0.0315389i
$97$	7.57737	+	1.20014i	0.769365	+	0.121855i	0.528764	−	0.848769i	$-0.322656\pi$
$97$	7.57737	+	1.20014i	0.769365	+	0.121855i	0.240601	+	0.970624i	$0.422656\pi$
$98$	−4.15730	+	4.15730i	−0.419951	+	0.419951i
$99$	−4.72507			−0.474888
$100$	−4.13994	−	2.80373i	−0.413994	−	0.280373i
$101$	0.344775	+	0.250494i	0.0343064	+	0.0249250i	0.604806	−	0.796373i	$-0.293251\pi$
$101$	0.344775	+	0.250494i	0.0343064	+	0.0249250i	−0.570500	+	0.821298i	$0.693251\pi$
$102$	0.862330	+	5.44454i	0.0853834	+	0.539090i
$103$	−2.15783	−	1.09947i	−0.212617	−	0.108334i	0.344439	−	0.938809i	$-0.388069\pi$
$103$	−2.15783	−	1.09947i	−0.212617	−	0.108334i	−0.557056	+	0.830475i	$0.688069\pi$
$104$	−3.19985	+	2.32483i	−0.313772	+	0.227968i
$105$	−7.08896	+	3.76075i	−0.691811	+	0.367012i
$106$	−8.21277	−	2.66849i	−0.797694	−	0.259187i
$107$	−0.180512	−	1.13971i	−0.0174507	−	0.110180i	0.977425	−	0.211281i	$-0.0677634\pi$
$107$	−0.180512	−	1.13971i	−0.0174507	−	0.110180i	−0.994876	+	0.101101i	$0.967763\pi$
$108$	−0.891007	+	0.453990i	−0.0857371	+	0.0436853i
$109$	−11.2833	−	3.66618i	−1.08075	−	0.351156i	−0.286083	−	0.958205i	$-0.592353\pi$
$109$	−11.2833	−	3.66618i	−1.08075	−	0.351156i	−0.794665	+	0.607049i	$0.792353\pi$
$110$	−9.99318	+	3.43046i	−0.952812	+	0.327081i
$111$	−1.22984	+	3.78506i	−0.116731	+	0.359262i
$112$	−1.62927	+	3.19762i	−0.153952	+	0.302147i
$113$	0.218898	−	1.38207i	0.0205922	−	0.130014i	−0.975251	−	0.221102i	$-0.929035\pi$
$113$	0.218898	−	1.38207i	0.0205922	−	0.130014i	0.995843	+	0.0910882i	$0.0290345\pi$
$114$	2.03539	+	6.26429i	0.190632	+	0.586704i
$115$	−2.72968	−	7.95175i	−0.254544	−	0.741505i
$116$	−3.68147	+	5.06711i	−0.341816	+	0.470469i
$117$	−0.618735	+	3.90654i	−0.0572021	+	0.361160i
$118$	−0.787465	+	0.787465i	−0.0724920	+	0.0724920i
$119$	19.7828			1.81349
$120$	−1.55481	+	1.60704i	−0.141934	+	0.146702i
$121$	−3.50003	+	10.7720i	−0.318184	+	0.979271i
$122$	0.598620	+	0.305012i	0.0541965	+	0.0276145i
$123$	−5.44476	−	5.44476i	−0.490938	−	0.490938i
$124$	−2.56424	−	4.94213i	−0.230276	−	0.443816i
$125$	−9.69813	+	5.56293i	−0.867427	+	0.497564i
$126$	1.10899	+	3.41313i	0.0987969	+	0.304066i
$127$	−8.79309	−	17.2574i	−0.780260	−	1.53135i	−0.845802	−	0.533497i	$-0.820878\pi$
$127$	−8.79309	−	17.2574i	−0.780260	−	1.53135i	0.0655419	−	0.997850i	$-0.479122\pi$
$128$	−0.156434	+	0.987688i	−0.0138270	+	0.0873001i
$129$		−	10.3764i		−	0.913587i
$130$	1.52761	+	8.71125i	0.133981	+	0.764027i
$131$	−11.6835	+	8.48856i	−1.02079	+	0.741649i	−0.966445	−	0.256873i	$-0.917308\pi$
$131$	−11.6835	+	8.48856i	−1.02079	+	0.741649i	−0.0543469	+	0.998522i	$0.517308\pi$
$132$	0.739165	+	4.66690i	0.0643360	+	0.406202i
$133$	23.3470	−	3.69781i	2.02444	−	0.320640i
$134$	−10.3067	+	3.34885i	−0.890364	+	0.289297i
$135$	0.0369301	+	2.23576i	0.00317843	+	0.192424i
$136$	5.24261	−	1.70343i	0.449550	−	0.146068i
$137$	1.28738	+	2.52663i	0.109989	+	0.215865i	0.939439	−	0.342715i	$-0.111347\pi$
$137$	1.28738	+	2.52663i	0.109989	+	0.215865i	−0.829451	+	0.558580i	$0.811347\pi$
$138$	−3.71354	+	0.588167i	−0.316117	+	0.0500681i
$139$	−0.353452	+	1.08781i	−0.0299794	+	0.0922671i	−0.964927	−	0.262520i	$-0.915447\pi$
$139$	−0.353452	+	1.08781i	−0.0299794	+	0.0922671i	0.934947	+	0.354787i	$0.115447\pi$
$140$	4.82341	+	6.41337i	0.407652	+	0.542029i
$141$	3.67256	−	5.05485i	0.309286	−	0.425695i
$142$	−4.43110	+	2.25776i	−0.371850	+	0.189467i
$143$	16.6518	+	8.48453i	1.39250	+	0.709512i
$144$	0.587785	+	0.809017i	0.0489821	+	0.0674181i
$145$	6.56343	+	12.3720i	0.545063	+	1.02744i
$146$	1.96579	−	2.70567i	0.162690	−	0.223923i
$147$	5.80693	−	0.919728i	0.478948	−	0.0758579i
$148$	3.93085	+	0.622586i	0.323114	+	0.0511762i
$149$			16.6360i			1.36287i	0.731876	+	0.681437i	$0.238645\pi$
$149$			16.6360i			1.36287i	−0.731876	+	0.681437i	$0.761355\pi$
$150$	1.70129	+	4.70166i	0.138910	+	0.383889i
$151$	−8.93932	−	12.3039i	−0.727472	−	1.00128i	−0.999242	−	0.0389170i	$-0.987609\pi$
$151$	−8.93932	−	12.3039i	−0.727472	−	1.00128i	0.271771	−	0.962362i	$-0.412391\pi$
$152$	5.86876	−	2.99028i	0.476019	−	0.242544i
$153$	2.50258	−	4.91159i	0.202322	−	0.397078i
$154$	16.9572			1.36645
$155$	−12.4463	+	0.297450i	−0.999715	+	0.0238917i
$156$	3.95524			0.316672
$157$	−7.82336	+	15.3542i	−0.624372	+	1.22540i	0.334724	+	0.942316i	$0.391357\pi$
$157$	−7.82336	+	15.3542i	−0.624372	+	1.22540i	−0.959096	+	0.283083i	$0.908643\pi$
$158$	−11.3812	+	5.79902i	−0.905441	+	0.461345i
$159$	5.07577	+	6.98620i	0.402535	+	0.554041i
$160$	1.83048	+	1.28427i	0.144712	+	0.101531i
$161$			13.4932i			1.06341i
$162$	0.987688	+	0.156434i	0.0776001	+	0.0122907i
$163$	−2.02420	+	0.320602i	−0.158548	+	0.0251115i	−0.235204	−	0.971946i	$-0.575576\pi$
$163$	−2.02420	+	0.320602i	−0.158548	+	0.0251115i	0.0766559	+	0.997058i	$0.475576\pi$
$164$	−4.52598	+	6.22947i	−0.353420	+	0.486440i
$165$	10.1010	+	3.09854i	0.786364	+	0.241221i
$166$	6.57635	+	9.05157i	0.510424	+	0.702538i
$167$	−2.64858	−	1.34952i	−0.204953	−	0.104429i	0.348501	−	0.937308i	$-0.386691\pi$
$167$	−2.64858	−	1.34952i	−0.204953	−	0.104429i	−0.553454	+	0.832879i	$0.686691\pi$
$168$	3.19762	−	1.62927i	0.246702	−	0.125701i
$169$	1.55405	−	2.13896i	0.119542	−	0.164536i
$170$	1.72690	−	12.2045i	0.132447	−	0.936046i
$171$	2.03539	−	6.26429i	0.155650	−	0.479042i
$172$	−10.2486	+	1.62322i	−0.781449	+	0.123769i
$173$	−3.95635	−	7.76478i	−0.300796	−	0.590345i	0.690296	−	0.723527i	$-0.257480\pi$
$173$	−3.95635	−	7.76478i	−0.300796	−	0.590345i	−0.991092	+	0.133182i	$0.957480\pi$
$174$	5.95675	−	1.93546i	0.451580	−	0.146727i
$175$	17.6206	−	3.39084i	1.33199	−	0.256324i
$176$	4.49381	−	1.46013i	0.338734	−	0.110061i
$177$	1.09993	−	0.174212i	0.0826760	−	0.0130946i
$178$	−0.569692	−	3.59689i	−0.0427002	−	0.269598i
$179$	−7.99628	+	5.80964i	−0.597670	+	0.434233i	−0.845051	−	0.534686i	$-0.820430\pi$
$179$	−7.99628	+	5.80964i	−0.597670	+	0.434233i	0.247381	+	0.968918i	$0.420430\pi$
$180$	2.20246	−	0.386226i	0.164162	−	0.0287876i
$181$		−	21.5085i		−	1.59871i	−0.600858	−	0.799356i	$-0.705174\pi$
$181$		−	21.5085i		−	1.59871i	0.600858	−	0.799356i	$-0.294826\pi$
$182$	2.22050	−	14.0197i	0.164595	−	1.03921i
$183$	−0.305012	−	0.598620i	−0.0225472	−	0.0442513i
$184$	1.16185	+	3.57581i	0.0856528	+	0.263612i
$185$	5.11121	−	7.28503i	0.375784	−	0.535606i
$186$	−0.830396	+	5.50549i	−0.0608876	+	0.403682i
$187$	−18.4177	−	18.4177i	−1.34683	−	1.34683i
$188$	−5.56713	−	2.83660i	−0.406025	−	0.206880i
$189$	1.10899	−	3.41313i	0.0806674	−	0.248269i
$190$	−0.243246	−	14.7262i	−0.0176469	−	1.06835i
$191$	−27.3789			−1.98107			−0.990535	−	0.137260i	$-0.956171\pi$
$191$	−27.3789			−1.98107			−0.990535	+	0.137260i	$0.956171\pi$
$192$	0.707107	−	0.707107i	0.0510310	−	0.0510310i
$193$	2.64243	−	16.6837i	0.190206	−	1.20092i	−0.689102	−	0.724664i	$-0.741995\pi$
$193$	2.64243	−	16.6837i	0.190206	−	1.20092i	0.879309	−	0.476252i	$-0.158005\pi$
$194$	−4.50938	+	6.20663i	−0.323755	+	0.445610i
$195$	3.88448	−	7.94546i	0.278173	−	0.568986i
$196$	−1.81681	−	5.59156i	−0.129772	−	0.399397i
$197$	1.24546	−	7.86350i	0.0887351	−	0.560252i	−0.902764	−	0.430137i	$-0.858465\pi$
$197$	1.24546	−	7.86350i	0.0887351	−	0.560252i	0.991499	−	0.130115i	$-0.0415346\pi$
$198$	2.14514	−	4.21007i	0.152448	−	0.299197i
$199$	−7.42269	+	22.8447i	−0.526180	+	1.61942i	0.235789	+	0.971804i	$0.424233\pi$
$199$	−7.42269	+	22.8447i	−0.526180	+	1.61942i	−0.761970	+	0.647613i	$0.775767\pi$
$200$	4.37763	−	2.41585i	0.309545	−	0.170826i
$201$	10.3067	+	3.34885i	0.726979	+	0.236210i
$202$	−0.379716	+	0.193475i	−0.0267167	+	0.0136129i
$203$	−3.51626	−	22.2008i	−0.246793	−	1.55819i
$204$	−5.24261	−	1.70343i	−0.367056	−	0.119264i
$205$	8.06904	+	15.2100i	0.563566	+	1.06231i
$206$	1.95926	−	1.42349i	0.136508	−	0.0991792i
$207$	3.35003	+	1.70693i	0.232843	+	0.118640i
$208$	−0.618735	−	3.90654i	−0.0429016	−	0.270870i
$209$	−25.1786	−	18.2933i	−1.74164	−	1.26538i
$210$	−0.132534	−	8.02365i	−0.00914570	−	0.553685i
$211$	−5.04127			−0.347055			−0.173528	−	0.984829i	$-0.555517\pi$
$211$	−5.04127			−0.347055			−0.173528	+	0.984829i	$0.555517\pi$
$212$	6.10616	−	6.10616i	0.419373	−	0.419373i
$213$	4.91191	+	0.777970i	0.336559	+	0.0533056i
$214$	1.09744	+	0.356579i	0.0750193	+	0.0243752i
$215$	−6.80446	+	22.1820i	−0.464061	+	1.51280i
$216$		−	1.00000i		−	0.0680414i
$217$	19.0485	+	6.03424i	1.29310	+	0.409631i
$218$	8.38912	−	8.38912i	0.568183	−	0.568183i
$219$	−3.18071	+	1.03348i	−0.214933	+	0.0698358i
$220$	1.48025	−	10.4614i	0.0997983	−	0.705306i
$221$	−17.6389	+	12.8154i	−1.18652	+	0.862058i
$222$	−2.81418	−	2.81418i	−0.188875	−	0.188875i
$223$	−7.92446	−	7.92446i	−0.530661	−	0.530661i	0.390108	−	0.920769i	$-0.372438\pi$
$223$	−7.92446	−	7.92446i	−0.530661	−	0.530661i	−0.920769	+	0.390108i	$0.872438\pi$
$224$	−2.10943	−	2.90338i	−0.140942	−	0.193990i
$225$	1.38719	−	4.80372i	0.0924794	−	0.320248i
$226$	1.13205	+	0.822486i	0.0753032	+	0.0547110i
$227$	−12.8704	+	25.2595i	−0.854237	+	1.67653i	−0.125123	+	0.992141i	$0.539932\pi$
$227$	−12.8704	+	25.2595i	−0.854237	+	1.67653i	−0.729114	+	0.684392i	$0.760068\pi$
$228$	−6.50557	−	1.03038i	−0.430842	−	0.0682386i
$229$	−3.71794	−	11.4426i	−0.245688	−	0.756151i	−0.995522	−	0.0945253i	$-0.969867\pi$
$229$	−3.71794	−	11.4426i	−0.245688	−	0.756151i	0.749834	−	0.661626i	$-0.230133\pi$
$230$	8.32431	+	1.17786i	0.548889	+	0.0776658i
$231$	−13.7187	−	9.96721i	−0.902624	−	0.655794i
$232$	−2.84348	−	5.58063i	−0.186683	−	0.366387i
$233$	3.43450	+	6.74059i	0.225002	+	0.441591i	0.975717	−	0.219035i	$-0.0702910\pi$
$233$	3.43450	+	6.74059i	0.225002	+	0.441591i	−0.750715	+	0.660626i	$0.770291\pi$
$234$	−3.19985	−	2.32483i	−0.209181	−	0.151979i
$235$	−11.1658	+	8.39766i	−0.728378	+	0.547803i
$236$	−0.344135	−	1.05914i	−0.0224013	−	0.0689440i
$237$	12.6162	+	1.99821i	0.819509	+	0.129797i
$238$	−8.98120	+	17.6266i	−0.582165	+	1.14256i
$239$	18.9008	+	13.7322i	1.22259	+	0.888265i	0.996313	−	0.0857981i	$-0.0273440\pi$
$239$	18.9008	+	13.7322i	1.22259	+	0.888265i	0.226279	+	0.974063i	$0.427344\pi$
$240$	−0.726011	−	2.11492i	−0.0468638	−	0.136518i
$241$	1.77465	+	2.44260i	0.114315	+	0.157342i	0.862341	−	0.506329i	$-0.168998\pi$
$241$	1.77465	+	2.44260i	0.114315	+	0.157342i	−0.748025	+	0.663670i	$0.768998\pi$
$242$	−8.00893	−	8.00893i	−0.514833	−	0.514833i
$243$	−0.707107	−	0.707107i	−0.0453609	−	0.0453609i
$244$	−0.543536	+	0.394902i	−0.0347963	+	0.0252810i
$245$	−13.0169	−	1.84184i	−0.831618	−	0.117671i
$246$	7.32319	−	2.37945i	0.466909	−	0.151708i
$247$	−18.4214	+	18.4214i	−1.17213	+	1.17213i
$248$	5.56761	−	0.0410765i	0.353544	−	0.00260836i
$249$		−	11.1884i		−	0.709033i
$250$	−0.553750	−	11.1666i	−0.0350222	−	0.706239i
$251$	−3.28380	−	1.06697i	−0.207272	−	0.0673466i	0.203541	−	0.979066i	$-0.434755\pi$
$251$	−3.28380	−	1.06697i	−0.207272	−	0.0673466i	−0.410813	+	0.911720i	$0.634755\pi$
$252$	−3.54459	−	0.561408i	−0.223288	−	0.0353654i
$253$	12.5621	−	12.5621i	0.789771	−	0.789771i
$254$	19.3684			1.21528
$255$	−8.57074	+	8.85864i	−0.536721	+	0.554749i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	1.35320	+	8.54374i	0.0844100	+	0.532944i	0.993268	+	0.115838i	$0.0369555\pi$
$257$	1.35320	+	8.54374i	0.0844100	+	0.532944i	−0.908858	+	0.417106i	$0.863045\pi$
$258$	9.24540	+	4.71077i	0.575593	+	0.293280i
$259$	−11.5550	+	8.39522i	−0.717994	+	0.521653i
$260$	−8.45530	−	2.59371i	−0.524376	−	0.160855i
$261$	−5.95675	−	1.93546i	−0.368713	−	0.119802i
$262$	−2.25916	−	14.2638i	−0.139572	−	0.881220i
$263$	3.15022	−	1.60512i	0.194251	−	0.0989759i	−0.354160	−	0.935185i	$-0.615233\pi$
$263$	3.15022	−	1.60512i	0.194251	−	0.0989759i	0.548411	+	0.836209i	$0.315233\pi$
$264$	−4.49381	−	1.46013i	−0.276575	−	0.0898647i
$265$	−6.26941	−	18.2632i	−0.385127	−	1.12190i
$266$	−7.30456	+	22.4811i	−0.447871	+	1.37841i
$267$	−1.65331	+	3.24480i	−0.101181	+	0.198579i
$268$	1.69530	−	10.7037i	0.103557	−	0.653832i
$269$	−1.83291	−	5.64112i	−0.111755	−	0.343945i	0.879502	−	0.475896i	$-0.157876\pi$
$269$	−1.83291	−	5.64112i	−0.111755	−	0.343945i	−0.991256	+	0.131950i	$0.957876\pi$
$270$	−2.00885	−	0.982110i	−0.122254	−	0.0597693i
$271$	−16.8297	+	23.1641i	−1.02233	+	1.40712i	−0.111779	+	0.993733i	$0.535655\pi$
$271$	−16.8297	+	23.1641i	−1.02233	+	1.40712i	−0.910555	+	0.413388i	$0.864345\pi$
$272$	−0.862330	+	5.44454i	−0.0522864	+	0.330124i
$273$	−10.0370	+	10.0370i	−0.607467	+	0.607467i
$274$	−2.83570			−0.171311
$275$	−19.5615	−	13.2478i	−1.17960	−	0.798874i
$276$	1.16185	−	3.57581i	0.0699352	−	0.215238i
$277$	−4.35766	−	2.22034i	−0.261826	−	0.133407i	0.318150	−	0.948040i	$-0.396938\pi$
$277$	−4.35766	−	2.22034i	−0.261826	−	0.133407i	−0.579977	+	0.814633i	$0.696938\pi$
$278$	−0.808784	−	0.808784i	−0.0485077	−	0.0485077i
$279$	3.90785	−	3.96594i	0.233957	−	0.237435i
$280$	−7.90414	+	1.38608i	−0.472362	+	0.0828340i
$281$	5.55047	+	17.0826i	0.331114	+	1.01906i	0.968605	+	0.248605i	$0.0799721\pi$
$281$	5.55047	+	17.0826i	0.331114	+	1.01906i	−0.637491	+	0.770457i	$0.720028\pi$
$282$	2.83660	+	5.56713i	0.168917	+	0.331518i
$283$	−0.918969	+	5.80214i	−0.0546271	+	0.344902i	0.945203	+	0.326482i	$0.105863\pi$
$283$	−0.918969	+	5.80214i	−0.0546271	+	0.344902i	−0.999830	+	0.0184193i	$0.994137\pi$
$284$		−	4.97314i		−	0.295101i
$285$	−8.45906	+	12.0567i	−0.501071	+	0.714179i
$286$	−15.1196	+	10.9850i	−0.894038	+	0.649556i
$287$	−4.32287	−	27.2936i	−0.255171	−	1.61109i
$288$	−0.987688	+	0.156434i	−0.0582001	+	0.00921799i
$289$	12.7314	−	4.13669i	0.748908	−	0.243335i
$290$	−14.0032	+	0.231304i	−0.822298	+	0.0135826i
$291$	7.29633	−	2.37072i	0.427719	−	0.138974i
$292$	1.51832	+	2.97988i	0.0888532	+	0.174384i
$293$	0.190257	−	0.0301338i	0.0111150	−	0.00176044i	−0.150875	−	0.988553i	$-0.548209\pi$
$293$	0.190257	−	0.0301338i	0.0111150	−	0.00176044i	0.161989	+	0.986792i	$0.448209\pi$
$294$	−1.81681	+	5.59156i	−0.105958	+	0.326106i
$295$	−2.46562	−	0.348877i	−0.143554	−	0.0203124i
$296$	−2.33930	+	3.21977i	−0.135969	+	0.187145i
$297$	−4.21007	+	2.14514i	−0.244293	+	0.124474i
$298$	−14.8228	−	7.55259i	−0.858661	−	0.437510i
$299$	−8.74096	−	12.0309i	−0.505503	−	0.695765i
$300$	−4.96158	−	0.618645i	−0.286457	−	0.0357175i
$301$	21.8882	−	30.1265i	1.26161	−	1.73646i
$302$	15.0212	−	2.37913i	0.864375	−	0.136904i
$303$	0.420918	+	0.0666669i	0.0241811	+	0.00382992i
$304$			6.58666i			0.377771i
$305$	0.259485	+	1.47972i	0.0148581	+	0.0847283i
$306$	3.24011	+	4.45963i	0.185225	+	0.254940i
$307$	24.9993	−	12.7378i	1.42678	−	0.726982i	0.441396	−	0.897312i	$-0.354483\pi$
$307$	24.9993	−	12.7378i	1.42678	−	0.726982i	0.985387	+	0.170330i	$0.0544834\pi$
$308$	−7.69842	+	15.1090i	−0.438658	+	0.860916i
$309$	−2.42178			−0.137770
$310$	5.38549	−	11.2248i	0.305875	−	0.637527i
$311$	26.4325			1.49885			0.749426	−	0.662088i	$-0.230330\pi$
$311$	26.4325			1.49885			0.749426	+	0.662088i	$0.230330\pi$
$312$	−1.79564	+	3.52414i	−0.101658	+	0.199515i
$313$	2.46507	−	1.25602i	0.139334	−	0.0709942i	−0.382934	−	0.923776i	$-0.625086\pi$
$313$	2.46507	−	1.25602i	0.139334	−	0.0709942i	0.522268	+	0.852782i	$0.325086\pi$
$314$	−10.1290	−	13.9413i	−0.571611	−	0.786755i
$315$	−4.60896	+	6.56917i	−0.259686	+	0.370131i
$316$		−	12.7734i		−	0.718562i
$317$	18.2135	+	2.88474i	1.02297	+	0.162023i	0.645311	−	0.763920i	$-0.276728\pi$
$317$	18.2135	+	2.88474i	1.02297	+	0.162023i	0.377663	+	0.925943i	$0.376728\pi$
$318$	−8.52910	+	1.35088i	−0.478288	+	0.0757534i
$319$	−17.3952	+	23.9425i	−0.973946	+	1.34052i
$320$	−1.97531	+	1.04792i	−0.110423	+	0.0585805i
$321$	−0.678253	−	0.933536i	−0.0378564	−	0.0521049i
$322$	−12.0225	−	6.12578i	−0.669988	−	0.341376i
$323$	32.3510	−	16.4836i	1.80006	−	0.917174i
$324$	−0.587785	+	0.809017i	−0.0326547	+	0.0449454i
$325$	−13.5144	+	14.4381i	−0.749644	+	0.800881i
$326$	0.633310	−	1.94913i	0.0350758	−	0.107952i
$327$	−11.7179	+	1.85594i	−0.648003	+	0.102634i
$328$	−3.49575	−	6.86080i	−0.193021	−	0.378824i
$329$	21.3257	−	6.92914i	1.17572	−	0.382016i
$330$	−7.34659	+	7.59337i	−0.404417	+	0.418001i
$331$	−17.5732	+	5.70987i	−0.965910	+	0.313843i	−0.749164	−	0.662385i	$-0.769544\pi$
$331$	−17.5732	+	5.70987i	−0.965910	+	0.313843i	−0.216746	+	0.976228i	$0.569544\pi$
$332$	−11.0506	+	1.75024i	−0.606481	+	0.0960572i
$333$	0.622586	+	3.93085i	0.0341175	+	0.215409i
$334$	2.40486	−	1.74723i	0.131588	−	0.0956042i
$335$	−19.8371	−	13.9178i	−1.08382	−	0.760411i
$336$			3.58878i			0.195784i
$337$	−4.64066	+	29.3000i	−0.252793	+	1.59607i	0.455554	+	0.890208i	$0.349441\pi$
$337$	−4.64066	+	29.3000i	−0.252793	+	1.59607i	−0.708347	+	0.705864i	$0.750559\pi$
$338$	1.20031	+	2.35573i	0.0652881	+	0.128135i
$339$	−0.432406	−	1.33081i	−0.0234851	−	0.0722797i
$340$	10.0903	+	7.07943i	0.547225	+	0.383936i
$341$	−12.1162	−	23.3519i	−0.656131	−	1.26458i
$342$	4.65747	+	4.65747i	0.251847	+	0.251847i
$343$	−3.58353	−	1.82590i	−0.193492	−	0.0985892i
$344$	3.20647	−	9.86850i	0.172881	−	0.532074i
$345$	−6.04218	−	5.84582i	−0.325300	−	0.314728i
$346$	8.71461			0.468500
$347$	9.86862	−	9.86862i	0.529776	−	0.529776i	−0.390730	−	0.920505i	$-0.627777\pi$
$347$	9.86862	−	9.86862i	0.529776	−	0.529776i	0.920505	+	0.390730i	$0.127777\pi$
$348$	−0.979795	+	6.18618i	−0.0525225	+	0.331614i
$349$	8.13698	−	11.1996i	0.435562	−	0.599500i	−0.533656	−	0.845701i	$-0.679182\pi$
$349$	8.13698	−	11.1996i	0.435562	−	0.599500i	0.969219	+	0.246201i	$0.0791824\pi$
$350$	−4.97832	+	17.2395i	−0.266102	+	0.921488i
$351$	1.22224	+	3.76165i	0.0652381	+	0.200782i
$352$	−0.739165	+	4.66690i	−0.0393976	+	0.248747i
$353$	−4.60893	+	9.04553i	−0.245309	+	0.481445i	−0.980527	−	0.196385i	$-0.937080\pi$
$353$	−4.60893	+	9.04553i	−0.245309	+	0.481445i	0.735218	+	0.677830i	$0.237080\pi$
$354$	−0.344135	+	1.05914i	−0.0182906	+	0.0562926i
$355$	−9.99027	−	4.88417i	−0.530228	−	0.259225i
$356$	3.46349	+	1.12536i	0.183564	+	0.0596437i
$357$	17.6266	−	8.98120i	0.932898	−	0.475335i
$358$	−1.54619	−	9.76226i	−0.0817187	−	0.515951i
$359$	−5.44567	−	1.76941i	−0.287412	−	0.0933857i	0.161763	−	0.986830i	$-0.448282\pi$
$359$	−5.44567	−	1.76941i	−0.287412	−	0.0933857i	−0.449175	+	0.893444i	$0.648282\pi$
$360$	−0.655766	+	2.13775i	−0.0345619	+	0.112669i
$361$	19.7272	−	14.3326i	1.03827	−	0.754348i
$362$	19.1642	+	9.76464i	1.00725	+	0.513218i
$363$	1.77183	+	11.1869i	0.0929969	+	0.587159i
$364$	11.4836	+	8.34330i	0.601902	+	0.437308i
$365$	7.47728	−	0.123509i	0.391379	−	0.00646475i
$366$	0.671847			0.0351180
$367$	5.93023	−	5.93023i	0.309555	−	0.309555i	−0.535182	−	0.844737i	$-0.679757\pi$
$367$	5.93023	−	5.93023i	0.309555	−	0.309555i	0.844737	+	0.535182i	$0.179757\pi$
$368$	−3.71354	−	0.588167i	−0.193582	−	0.0306603i
$369$	−7.32319	−	2.37945i	−0.381230	−	0.123869i
$370$	4.17057	+	7.86145i	0.216817	+	0.408698i
$371$			30.9906i			1.60895i
$372$	−4.52844	−	3.23933i	−0.234789	−	0.167951i
$373$	11.7633	−	11.7633i	0.609083	−	0.609083i	−0.333624	−	0.942706i	$-0.608272\pi$
$373$	11.7633	−	11.7633i	0.609083	−	0.609083i	0.942706	+	0.333624i	$0.108272\pi$
$374$	24.7717	−	8.04882i	1.28092	−	0.416195i
$375$	−6.11558	+	9.35947i	−0.315807	+	0.483321i
$376$	5.05485	−	3.67256i	0.260684	−	0.189398i
$377$	17.5170	+	17.5170i	0.902173	+	0.902173i
$378$	2.53765	+	2.53765i	0.130523	+	0.130523i
$379$	−5.13947	−	7.07387i	−0.263997	−	0.363360i	0.656355	−	0.754452i	$-0.272097\pi$
$379$	−5.13947	−	7.07387i	−0.263997	−	0.363360i	−0.920352	+	0.391092i	$0.872097\pi$
$380$	13.2316	+	6.46883i	0.678766	+	0.331844i
$381$	−15.6694	−	11.3845i	−0.802767	−	0.583245i
$382$	12.4298	−	24.3948i	0.635963	−	1.24815i
$383$	−21.8288	−	3.45734i	−1.11540	−	0.176662i	−0.428590	−	0.903499i	$-0.640990\pi$
$383$	−21.8288	−	3.45734i	−1.11540	−	0.176662i	−0.686810	+	0.726837i	$0.740990\pi$
$384$	0.309017	+	0.951057i	0.0157695	+	0.0485334i
$385$	22.7910	+	30.3037i	1.16153	+	1.54442i
$386$	13.6656	+	9.92865i	0.695561	+	0.505355i
$387$	−4.71077	−	9.24540i	−0.239462	−	0.469970i
$388$	−3.48293	−	6.83564i	−0.176819	−	0.347027i
$389$	12.5947	+	9.15061i	0.638579	+	0.463954i	0.859362	−	0.511369i	$-0.170861\pi$
$389$	12.5947	+	9.15061i	0.638579	+	0.463954i	−0.220783	+	0.975323i	$0.570861\pi$
$390$	5.31594	+	7.06826i	0.269183	+	0.357915i
$391$	6.40459	+	19.7113i	0.323894	+	0.996844i
$392$	5.80693	+	0.919728i	0.293294	+	0.0464533i
$393$	−6.55635	+	12.8676i	−0.330724	+	0.649082i
$394$	6.44101	+	4.67967i	0.324493	+	0.235758i
$395$	−25.6599	−	12.5449i	−1.29109	−	0.631204i
$396$	2.77733	+	3.82267i	0.139566	+	0.192096i
$397$	12.4781	+	12.4781i	0.626256	+	0.626256i	0.947124	−	0.320868i	$-0.103974\pi$
$397$	12.4781	+	12.4781i	0.626256	+	0.626256i	−0.320868	+	0.947124i	$0.603974\pi$
$398$	−16.9849	−	16.9849i	−0.851378	−	0.851378i
$399$	19.1236	−	13.8941i	0.957377	−	0.695575i
$400$	0.165134	+	4.99727i	0.00825669	+	0.249864i
$401$	35.3430	−	11.4836i	1.76495	−	0.573466i	0.767253	−	0.641345i	$-0.221623\pi$
$401$	35.3430	−	11.4836i	1.76495	−	0.573466i	0.997694	+	0.0678792i	$0.0216233\pi$
$402$	−7.66300	+	7.66300i	−0.382196	+	0.382196i
$403$	−20.8932	+	6.95945i	−1.04077	+	0.346675i
$404$		−	0.426165i		−	0.0212025i
$405$	1.04792	+	1.97531i	0.0520716	+	0.0981541i
$406$	21.3774	+	6.94595i	1.06094	+	0.344722i
$407$	18.5736	+	2.94176i	0.920658	+	0.145818i
$408$	3.89786	−	3.89786i	0.192973	−	0.192973i
$409$	17.9954			0.889813			0.444907	−	0.895577i	$-0.353237\pi$
$409$	17.9954			0.889813			0.444907	+	0.895577i	$0.353237\pi$
$410$	−17.2155	+	0.284364i	−0.850213	+	0.0140437i
$411$	2.29413	+	1.66679i	0.113161	+	0.0822165i
$412$	0.378850	+	2.39197i	0.0186646	+	0.117844i
$413$	3.56101	+	1.81443i	0.175226	+	0.0892821i
$414$	−3.04176	+	2.20997i	−0.149495	+	0.108614i
$415$	−7.33695	+	23.9179i	−0.360157	+	1.17408i
$416$	3.76165	+	1.22224i	0.184430	+	0.0599250i
$417$	0.178929	+	1.12971i	0.00876218	+	0.0553222i
$418$	27.7303	−	14.1293i	1.35633	−	0.691087i
$419$	17.6111	+	5.72220i	0.860359	+	0.279548i	0.705779	−	0.708432i	$-0.250597\pi$
$419$	17.6111	+	5.72220i	0.860359	+	0.279548i	0.154581	+	0.987980i	$0.450597\pi$
$420$	7.20930	+	3.52457i	0.351778	+	0.171982i
$421$	−11.2557	+	34.6416i	−0.548570	+	1.68833i	0.163776	+	0.986498i	$0.447633\pi$
$421$	−11.2557	+	34.6416i	−0.548570	+	1.68833i	−0.712346	+	0.701828i	$0.752367\pi$
$422$	2.28869	−	4.49180i	0.111412	−	0.218657i
$423$	0.977424	−	6.17121i	0.0475240	−	0.300055i
$424$	2.66849	+	8.21277i	0.129593	+	0.398847i
$425$	24.1313	−	13.3171i	1.17054	−	0.645976i
$426$	−2.92314	+	4.02335i	−0.141626	+	0.194932i
$427$	0.377181	−	2.38142i	0.0182530	−	0.115245i
$428$	−0.815940	+	0.815940i	−0.0394400	+	0.0394400i
$429$	18.6888			0.902303
$430$	−16.6752	−	16.1333i	−0.804149	−	0.778015i
$431$	5.00368	−	15.3997i	0.241019	−	0.741779i	−0.755247	−	0.655440i	$-0.772483\pi$
$431$	5.00368	−	15.3997i	0.241019	−	0.741779i	0.996266	−	0.0863389i	$-0.0275168\pi$
$432$	0.891007	+	0.453990i	0.0428686	+	0.0218426i
$433$	−25.3604	−	25.3604i	−1.21874	−	1.21874i	−0.968073	−	0.250668i	$-0.919350\pi$
$433$	−25.3604	−	25.3604i	−1.21874	−	1.21874i	−0.250668	−	0.968073i	$-0.580650\pi$
$434$	−14.0244	+	14.2329i	−0.673193	+	0.683200i
$435$	11.4648	+	8.04377i	0.549696	+	0.385669i
$436$	3.66618	+	11.2833i	0.175578	+	0.540374i
$437$	11.2429	+	22.0655i	0.537823	+	1.05554i
$438$	0.523179	−	3.30322i	0.0249985	−	0.157834i
$439$		−	4.37866i		−	0.208982i	−0.994526	−	0.104491i	$-0.966679\pi$
$439$		−	4.37866i		−	0.208982i	0.994526	−	0.104491i	$-0.0333213\pi$
$440$	8.64914	+	6.06828i	0.412332	+	0.289294i
$441$	4.75647	−	3.45577i	0.226498	−	0.164561i
$442$	−3.41072	−	21.5344i	−0.162231	−	1.02429i
$443$	33.8891	−	5.36750i	1.61012	−	0.255018i	0.714433	−	0.699704i	$-0.246685\pi$
$443$	33.8891	−	5.36750i	1.61012	−	0.255018i	0.895686	+	0.444686i	$0.146685\pi$
$444$	3.78506	−	1.22984i	0.179631	−	0.0583657i
$445$	5.66219	−	5.85239i	0.268414	−	0.277430i
$446$	10.6584	−	3.46311i	0.504688	−	0.163983i
$447$	7.55259	+	14.8228i	0.357225	+	0.701094i
$448$	3.54459	−	0.561408i	0.167466	−	0.0265240i
$449$	0.0534327	−	0.164449i	0.00252164	−	0.00776082i	−0.949788	−	0.312895i	$-0.898701\pi$
$449$	0.0534327	−	0.164449i	0.00252164	−	0.00776082i	0.952309	+	0.305134i	$0.0987013\pi$
$450$	3.65037	+	3.41684i	0.172080	+	0.161071i
$451$	−21.3856	+	29.4347i	−1.00701	+	1.38603i
$452$	−1.24678	+	0.635267i	−0.0586437	+	0.0298805i
$453$	−13.5509	−	6.90451i	−0.636675	−	0.324402i
$454$	−16.6634	−	22.9352i	−0.782051	−	1.07640i
$455$	28.0385	−	14.8747i	1.31447	−	0.697335i
$456$	3.87154	−	5.32872i	0.181302	−	0.249540i
$457$	−7.30087	+	1.15634i	−0.341520	+	0.0540915i	−0.324839	−	0.945769i	$-0.605310\pi$
$457$	−7.30087	+	1.15634i	−0.341520	+	0.0540915i	−0.0166814	+	0.999861i	$0.505310\pi$
$458$	11.8834	+	1.88214i	0.555274	+	0.0879468i
$459$		−	5.51241i		−	0.257297i
$460$	−4.82864	+	6.88228i	−0.225137	+	0.320888i
$461$	−0.500625	−	0.689051i	−0.0233164	−	0.0320923i	0.797200	−	0.603716i	$-0.206314\pi$
$461$	−0.500625	−	0.689051i	−0.0233164	−	0.0320923i	−0.820516	+	0.571623i	$0.806314\pi$
$462$	15.1090	−	7.69842i	0.702935	−	0.358163i
$463$	−12.0784	+	23.7051i	−0.561330	+	1.10167i	0.419673	+	0.907676i	$0.362145\pi$
$463$	−12.0784	+	23.7051i	−0.561330	+	1.10167i	−0.981002	+	0.193996i	$0.937855\pi$
$464$	6.26329			0.290766
$465$	−10.9547	+	5.91555i	−0.508014	+	0.274327i
$466$	−7.56514			−0.350448
$467$	−15.5921	+	30.6012i	−0.721516	+	1.41605i	0.180158	+	0.983638i	$0.442339\pi$
$467$	−15.5921	+	30.6012i	−0.721516	+	1.41605i	−0.901674	+	0.432417i	$0.857661\pi$
$468$	3.52414	−	1.79564i	0.162904	−	0.0830035i
$469$	22.8601	+	31.4643i	1.05558	+	1.45289i
$470$	−2.41319	−	13.7613i	−0.111312	−	0.634760i
$471$			17.2324i			0.794028i
$472$	1.09993	+	0.174212i	0.0506285	+	0.00801877i
$473$	−48.4254	+	7.66983i	−2.22660	+	0.352659i
$474$	−7.50804	+	10.3339i	−0.344856	+	0.474653i
$475$	25.9897	−	20.2271i	1.19249	−	0.928083i
$476$	−11.6280	−	16.0046i	−0.532970	−	0.733570i
$477$	7.69421	+	3.92040i	0.352294	+	0.179503i
$478$	−20.8163	+	10.6064i	−0.952115	+	0.485127i
$479$	21.0835	−	29.0189i	0.963329	−	1.32591i	0.0179836	−	0.999838i	$-0.494275\pi$
$479$	21.0835	−	29.0189i	0.963329	−	1.32591i	0.945345	−	0.326070i	$-0.105725\pi$
$480$	2.21401	+	0.313275i	0.101055	+	0.0142990i
$481$	4.86432	−	14.9708i	0.221794	−	0.682611i
$482$	−2.98205	+	0.472310i	−0.135829	+	0.0215131i
$483$	6.12578	+	12.0225i	0.278732	+	0.547043i
$484$	10.7720	−	3.50003i	0.489635	−	0.159092i
$485$	−17.1524	+	0.283321i	−0.778849	+	0.0128649i
$486$	0.951057	−	0.309017i	0.0431408	−	0.0140173i
$487$	2.97137	−	0.470619i	0.134646	−	0.0213258i	−0.0887478	−	0.996054i	$-0.528287\pi$
$487$	2.97137	−	0.470619i	0.134646	−	0.0213258i	0.223393	+	0.974728i	$0.428287\pi$
$488$	−0.105100	−	0.663576i	−0.00475766	−	0.0300387i
$489$	−1.65803	+	1.20463i	−0.0749786	+	0.0544751i
$490$	7.55064	−	10.7620i	0.341103	−	0.486175i
$491$		−	25.4056i		−	1.14654i	−0.819367	−	0.573270i	$-0.805675\pi$
$491$		−	25.4056i		−	1.14654i	0.819367	−	0.573270i	$-0.194325\pi$
$492$	−1.20455	+	7.60525i	−0.0543055	+	0.342871i
$493$	−15.6744	−	30.7627i	−0.705939	−	1.38548i
$494$	−8.05045	−	24.7767i	−0.362207	−	1.11476i
$495$	10.4068	−	1.82495i	0.467750	−	0.0820252i
$496$	−2.49104	+	4.97943i	−0.111851	+	0.223583i
$497$	12.6201	+	12.6201i	0.566088	+	0.566088i
$498$	9.96890	+	5.07941i	0.446717	+	0.227614i
$499$	−11.3500	+	34.9317i	−0.508096	+	1.56376i	0.287407	+	0.957808i	$0.407207\pi$
$499$	−11.3500	+	34.9317i	−0.508096	+	1.56376i	−0.795503	+	0.605949i	$0.792793\pi$
$500$	10.2009	+	4.57614i	0.456199	+	0.204651i
$501$	−2.97257			−0.132805
$502$	2.44149	−	2.44149i	0.108969	−	0.108969i
$503$	0.118865	−	0.750483i	0.00529992	−	0.0334624i	−0.984897	−	0.173143i	$-0.944608\pi$
$503$	0.118865	−	0.750483i	0.00529992	−	0.0334624i	0.990197	+	0.139681i	$0.0446077\pi$
$504$	2.10943	−	2.90338i	0.0939615	−	0.129327i
$505$	−0.856100	−	0.418541i	−0.0380960	−	0.0186248i
$506$	5.48983	+	16.8960i	0.244053	+	0.751117i
$507$	0.413598	−	2.61135i	0.0183685	−	0.115974i
$508$	−8.79309	+	17.2574i	−0.390130	+	0.765673i
$509$	−4.78232	+	14.7185i	−0.211973	+	0.652385i	0.787382	+	0.616465i	$0.211436\pi$
$509$	−4.78232	+	14.7185i	−0.211973	+	0.652385i	−0.999355	+	0.0359194i	$0.988564\pi$
$510$	−4.00207	−	11.6583i	−0.177215	−	0.516239i
$511$	−11.4149	−	3.70891i	−0.504964	−	0.164073i
$512$	0.891007	−	0.453990i	0.0393773	−	0.0200637i
$513$	−1.03038	−	6.50557i	−0.0454924	−	0.287228i
$514$	−8.22687	−	2.67307i	−0.362872	−	0.117904i
$515$	5.17717	+	1.58812i	0.228133	+	0.0699811i
$516$	−8.39465	+	6.09907i	−0.369554	+	0.268497i
$517$	−26.3051	−	13.4031i	−1.15690	−	0.589469i
$518$	−2.23432	−	14.1070i	−0.0981705	−	0.619824i
$519$	−7.05027	−	5.12232i	−0.309472	−	0.224845i
$520$	6.14964	−	6.35621i	0.269680	−	0.278738i
$521$	24.4491			1.07113			0.535567	−	0.844493i	$-0.320098\pi$
$521$	24.4491			1.07113			0.535567	+	0.844493i	$0.320098\pi$
$522$	4.42882	−	4.42882i	0.193844	−	0.193844i
$523$	10.8196	+	1.71365i	0.473107	+	0.0749327i	0.388435	−	0.921476i	$-0.373016\pi$
$523$	10.8196	+	1.71365i	0.473107	+	0.0749327i	0.0846718	+	0.996409i	$0.473016\pi$
$524$	13.7348	+	4.46270i	0.600007	+	0.194954i
$525$	14.1606	−	11.0208i	0.618021	−	0.480989i
$526$			3.53558i			0.154159i
$527$	30.6909	−	0.226430i	1.33692	−	0.00986346i
$528$	3.34113	−	3.34113i	0.145404	−	0.145404i
$529$	8.42987	−	2.73903i	0.366516	−	0.119088i
$530$	19.1189	+	2.70526i	0.830473	+	0.117509i
$531$	0.900957	−	0.654583i	0.0390982	−	0.0284065i
$532$	−16.7146	−	16.7146i	−0.724671	−	0.724671i
$533$	21.5353	+	21.5353i	0.932798	+	0.932798i
$534$	−2.14055	−	2.94622i	−0.0926308	−	0.127495i
$535$	0.837754	+	2.44044i	0.0362193	+	0.105509i
$536$	8.76741	+	6.36990i	0.378695	+	0.275138i
$537$	−4.48722	+	8.80666i	−0.193638	+	0.380035i
$538$	5.85840	+	0.927879i	0.252574	+	0.0400037i
$539$	−8.58456	−	26.4205i	−0.369763	−	1.13801i
$540$	1.78706	−	1.34403i	0.0769030	−	0.0578377i
$541$	26.5821	+	19.3130i	1.14285	+	0.830332i	0.987514	−	0.157530i	$-0.0503530\pi$
$541$	26.5821	+	19.3130i	1.14285	+	0.830332i	0.155339	+	0.987861i	$0.450353\pi$
$542$	−12.9989	−	25.5117i	−0.558349	−	1.09582i
$543$	−9.76464	−	19.1642i	−0.419041	−	0.822414i
$544$	−4.45963	−	3.24011i	−0.191205	−	0.138919i
$545$	26.2671	+	3.71669i	1.12516	+	0.159206i
$546$	−4.38633	−	13.4997i	−0.187718	−	0.577735i
$547$	−40.5197	−	6.41768i	−1.73250	−	0.274400i	−0.791096	−	0.611693i	$-0.790489\pi$
$547$	−40.5197	−	6.41768i	−1.73250	−	0.274400i	−0.941400	+	0.337292i	$0.890489\pi$
$548$	1.28738	−	2.52663i	0.0549943	−	0.107932i
$549$	−0.543536	−	0.394902i	−0.0231975	−	0.0168540i
$550$	20.6846	−	11.4151i	0.881996	−	0.486740i
$551$	−24.2486	−	33.3753i	−1.03303	−	1.42184i
$552$	2.65860	+	2.65860i	0.113158	+	0.113158i
$553$	32.4145	+	32.4145i	1.37840	+	1.37840i
$554$	3.95667	−	2.87469i	0.168103	−	0.122134i
$555$	1.24679	−	8.81145i	0.0529232	−	0.374025i
$556$	1.08781	−	0.353452i	0.0461335	−	0.0149897i
$557$	−8.55336	+	8.55336i	−0.362418	+	0.362418i	−0.864702	−	0.502285i	$-0.832493\pi$
$557$	−8.55336	+	8.55336i	−0.362418	+	0.362418i	0.502285	+	0.864702i	$0.332493\pi$
$558$	1.75955	+	5.28242i	0.0744878	+	0.223623i
$559$			41.0409i			1.73585i
$560$	2.35340	−	7.67190i	0.0994492	−	0.324197i
$561$	−24.7717	−	8.04882i	−1.04586	−	0.339821i
$562$	−17.7406	−	2.80983i	−0.748341	−	0.118526i
$563$	−24.4799	+	24.4799i	−1.03170	+	1.03170i	−0.0322226	+	0.999481i	$0.510259\pi$
$563$	−24.4799	+	24.4799i	−1.03170	+	1.03170i	−0.999481	+	0.0322226i	$0.989741\pi$
$564$	−6.24814			−0.263094
$565$	0.0516761	+	3.12850i	0.00217403	+	0.131617i
$566$	−4.75255	−	3.45293i	−0.199764	−	0.145137i
$567$	−0.561408	−	3.54459i	−0.0235769	−	0.148859i
$568$	4.43110	+	2.25776i	0.185925	+	0.0947334i
$569$	−22.6854	+	16.4819i	−0.951020	+	0.690957i	−0.951048	−	0.309043i	$-0.899991\pi$
$569$	−22.6854	+	16.4819i	−0.951020	+	0.690957i	2.75275e−5		1.00000i	$0.499991\pi$
$570$	−6.90229	−	13.0107i	−0.289105	−	0.544959i
$571$	−38.2562	−	12.4302i	−1.60097	−	0.520187i	−0.633624	−	0.773641i	$-0.718433\pi$
$571$	−38.2562	−	12.4302i	−1.60097	−	0.520187i	−0.967347	+	0.253454i	$0.918433\pi$
$572$	−2.92357	−	18.4587i	−0.122241	−	0.771797i
$573$	−24.3948	+	12.4298i	−1.01911	+	0.519261i
$574$	26.2813	+	8.53930i	1.09696	+	0.356424i
$575$	9.08318	+	16.4591i	0.378795	+	0.686394i
$576$	0.309017	−	0.951057i	0.0128757	−	0.0396274i
$577$	−19.9785	+	39.2100i	−0.831716	+	1.63233i	−0.0584169	+	0.998292i	$0.518605\pi$
$577$	−19.9785	+	39.2100i	−0.831716	+	1.63233i	−0.773299	+	0.634042i	$0.781395\pi$
$578$	−2.09413	+	13.2218i	−0.0871042	+	0.549955i
$579$	−5.21980	−	16.0649i	−0.216927	−	0.667634i
$580$	6.15124	−	12.5820i	0.255416	−	0.522439i
$581$	23.6011	−	32.4841i	0.979137	−	1.34767i
$582$	−1.20014	+	7.57737i	−0.0497473	+	0.314092i
$583$	28.8521	−	28.8521i	1.19493	−	1.19493i
$584$	−3.34440			−0.138392
$585$	−0.146067	−	8.84297i	−0.00603914	−	0.365612i
$586$	−0.0595256	+	0.183201i	−0.00245898	+	0.00756796i
$587$	24.9946	+	12.7354i	1.03164	+	0.525646i	0.885997	−	0.463691i	$-0.153475\pi$
$587$	24.9946	+	12.7354i	1.03164	+	0.525646i	0.145642	+	0.989337i	$0.453475\pi$
$588$	−4.15730	−	4.15730i	−0.171444	−	0.171444i
$589$	36.1782	−	6.00399i	1.49070	−	0.247390i
$590$	1.43022	−	2.03850i	0.0588813	−	0.0839237i
$591$	−2.46025	−	7.57186i	−0.101201	−	0.311465i
$592$	−1.80681	−	3.54607i	−0.0742596	−	0.145743i
$593$	3.53157	−	22.2975i	0.145024	−	0.915648i	−0.802660	−	0.596437i	$-0.796582\pi$
$593$	3.53157	−	22.2975i	0.145024	−	0.915648i	0.947684	−	0.319210i	$-0.103418\pi$
$594$		−	4.72507i		−	0.193872i
$595$	−43.5708	+	7.64062i	−1.78623	+	0.313235i
$596$	13.4588	−	9.77840i	0.551294	−	0.400539i
$597$	3.75761	+	23.7246i	0.153789	+	0.970983i
$598$	14.6879	−	2.32634i	0.600634	−	0.0951311i
$599$	−34.4836	+	11.2044i	−1.40896	+	0.457799i	−0.912078	−	0.410018i	$-0.865522\pi$
$599$	−34.4836	+	11.2044i	−1.40896	+	0.457799i	−0.496884	+	0.867817i	$0.665522\pi$
$600$	2.80373	−	4.13994i	0.114462	−	0.169012i
$601$	−41.7286	+	13.5584i	−1.70214	+	0.553060i	−0.988995	−	0.147952i	$-0.952732\pi$
$601$	−41.7286	+	13.5584i	−1.70214	+	0.553060i	−0.713150	+	0.701012i	$0.752732\pi$
$602$	16.9059	+	33.1797i	0.689033	+	1.35230i
$603$	10.7037	−	1.69530i	0.435888	−	0.0690379i
$604$	−4.69968	+	14.4641i	−0.191227	+	0.588537i
$605$	3.54826	−	25.0767i	0.144257	−	1.01951i
$606$	−0.250494	+	0.344775i	−0.0101756	+	0.0140055i
$607$	13.7481	−	7.00499i	0.558017	−	0.284324i	−0.152150	−	0.988357i	$-0.548620\pi$
$607$	13.7481	−	7.00499i	0.558017	−	0.284324i	0.710167	+	0.704034i	$0.248620\pi$
$608$	−5.86876	−	2.99028i	−0.238010	−	0.121272i
$609$	−13.2120	−	18.1847i	−0.535376	−	0.736882i
$610$	−1.43624	−	0.440575i	−0.0581517	−	0.0178383i
$611$	−14.5259	+	19.9931i	−0.587653	+	0.808836i
$612$	−5.44454	+	0.862330i	−0.220082	+	0.0348576i
$613$	26.9738	+	4.27222i	1.08946	+	0.172553i	0.675222	−	0.737615i	$-0.264048\pi$
$613$	26.9738	+	4.27222i	1.08946	+	0.172553i	0.414238	+	0.910168i	$0.364048\pi$
$614$			28.0573i			1.13230i
$615$	14.0948	+	9.88896i	0.568356	+	0.398761i
$616$	−9.96721	−	13.7187i	−0.401590	−	0.552742i
$617$	−5.11158	+	2.60448i	−0.205785	+	0.104852i	−0.553846	−	0.832619i	$-0.686840\pi$
$617$	−5.11158	+	2.60448i	−0.205785	+	0.104852i	0.348061	+	0.937472i	$0.386840\pi$
$618$	1.09947	−	2.15783i	0.0442270	−	0.0868005i
$619$	−2.74460			−0.110315			−0.0551575	−	0.998478i	$-0.517566\pi$
$619$	−2.74460			−0.110315			−0.0551575	+	0.998478i	$0.517566\pi$
$620$	7.55642	+	9.89447i	0.303473	+	0.397371i
$621$	3.75983			0.150877
$622$	−12.0001	+	23.5516i	−0.481161	+	0.944332i
$623$	−11.6449	+	5.93336i	−0.466542	+	0.237715i
$624$	−2.32483	−	3.19985i	−0.0930677	−	0.128097i
$625$	19.2112	−	15.9978i	0.768448	−	0.639912i
$626$			2.76661i			0.110576i
$627$	−30.7393	−	4.86863i	−1.22761	−	0.194434i
$628$	17.0203	−	2.69575i	0.679183	−	0.107572i
$629$	−12.8952	+	17.7487i	−0.514164	+	0.707686i
$630$	−3.76075	−	7.08896i	−0.149832	−	0.282431i
$631$	6.26005	+	8.61622i	0.249209	+	0.343006i	0.915234	−	0.402923i	$-0.132006\pi$
$631$	6.26005	+	8.61622i	0.249209	+	0.343006i	−0.666025	+	0.745929i	$0.732006\pi$
$632$	11.3812	+	5.79902i	0.452721	+	0.230673i
$633$	−4.49180	+	2.28869i	−0.178533	+	0.0909671i
$634$	−10.8391	+	14.9187i	−0.430476	+	0.592499i
$635$	26.0317	+	34.6126i	1.03304	+	1.37356i
$636$	2.66849	−	8.21277i	0.105812	−	0.325657i
$637$	−22.9678	+	3.63774i	−0.910017	+	0.144133i
$638$	−13.4356	−	26.3689i	−0.531922	−	1.04396i
$639$	4.72974	−	1.53678i	0.187105	−	0.0607942i
$640$	−0.0369301	−	2.23576i	−0.00145979	−	0.0883763i
$641$	−13.7601	+	4.47094i	−0.543493	+	0.176592i	−0.567880	−	0.823111i	$-0.692236\pi$
$641$	−13.7601	+	4.47094i	−0.543493	+	0.176592i	0.0243876	+	0.999703i	$0.492236\pi$
$642$	1.13971	−	0.180512i	0.0449807	−	0.00712424i
$643$	−3.26546	−	20.6173i	−0.128777	−	0.813066i	−0.964532	−	0.263964i	$-0.914970\pi$
$643$	−3.26546	−	20.6173i	−0.128777	−	0.813066i	0.835755	−	0.549102i	$-0.185030\pi$
$644$	10.9162	−	7.93109i	0.430159	−	0.312529i
$645$	4.00762	+	22.8535i	0.157800	+	0.899856i
$646$			36.3083i			1.42853i
$647$	4.33807	−	27.3895i	0.170547	−	1.07679i	−0.742771	−	0.669545i	$-0.766489\pi$
$647$	4.33807	−	27.3895i	0.170547	−	1.07679i	0.913318	−	0.407246i	$-0.133511\pi$
$648$	−0.453990	−	0.891007i	−0.0178344	−	0.0350020i
$649$	−1.62606	−	5.00451i	−0.0638285	−	0.196444i
$650$	−6.72902	−	18.5962i	−0.263934	−	0.729402i
$651$	19.7119	−	3.27130i	0.772569	−	0.128212i
$652$	1.44917	+	1.44917i	0.0567538	+	0.0567538i
$653$	21.3773	+	10.8923i	0.836558	+	0.426247i	0.819135	−	0.573601i	$-0.194454\pi$
$653$	21.3773	+	10.8923i	0.836558	+	0.426247i	0.0174227	+	0.999848i	$0.494454\pi$
$654$	3.66618	−	11.2833i	0.143359	−	0.441213i
$655$	22.4539	−	23.2082i	0.877348	−	0.906819i
$656$	7.70005			0.300637
$657$	−2.36485	+	2.36485i	−0.0922614	+	0.0922614i
$658$	−3.50776	+	22.1471i	−0.136747	+	0.863384i
$659$	3.33840	−	4.59492i	0.130046	−	0.178993i	−0.739029	−	0.673674i	$-0.764715\pi$
$659$	3.33840	−	4.59492i	0.130046	−	0.178993i	0.869074	+	0.494681i	$0.164715\pi$
$660$	−3.43046	−	9.99318i	−0.133530	−	0.388984i
$661$	−10.1800	−	31.3308i	−0.395955	−	1.21863i	−0.928215	−	0.372044i	$-0.878657\pi$
$661$	−10.1800	−	31.3308i	−0.395955	−	1.21863i	0.532260	−	0.846581i	$-0.321343\pi$
$662$	2.89052	−	18.2500i	0.112343	−	0.709308i
$663$	−9.89830	+	19.4265i	−0.384418	+	0.754463i
$664$	3.45739	−	10.6408i	0.134173	−	0.412942i
$665$	−49.9927	+	17.1615i	−1.93863	+	0.665494i
$666$	−3.78506	−	1.22984i	−0.146668	−	0.0476554i
$667$	20.9822	−	10.6910i	0.812435	−	0.413956i
$668$	0.465012	+	2.93597i	0.0179919	+	0.113596i
$669$	−10.6584	−	3.46311i	−0.412076	−	0.133892i
$670$	21.4067	−	11.3564i	0.827013	−	0.438737i
$671$	−2.56825	+	1.86594i	−0.0991461	+	0.0720338i
$672$	−3.19762	−	1.62927i	−0.123351	−	0.0628505i
$673$	−4.39328	−	27.7381i	−0.169349	−	1.06923i	−0.915167	−	0.403076i	$-0.867941\pi$
$673$	−4.39328	−	27.7381i	−0.169349	−	1.06923i	0.745818	−	0.666150i	$-0.232059\pi$
$674$	−23.9997	−	17.4368i	−0.924433	−	0.671640i
$675$	−0.944846	−	4.90992i	−0.0363672	−	0.188983i
$676$	−2.64390			−0.101689
$677$	0.815487	−	0.815487i	0.0313417	−	0.0313417i	−0.691262	−	0.722604i	$-0.742945\pi$
$677$	0.815487	−	0.815487i	0.0313417	−	0.0313417i	0.722604	+	0.691262i	$0.242945\pi$
$678$	1.38207	+	0.218898i	0.0530780	+	0.00840674i
$679$	26.1849	+	8.50799i	1.00488	+	0.326507i
$680$	−10.8887	+	5.77656i	−0.417564	+	0.221521i
$681$			28.3494i			1.08635i
$682$	26.3074	−	0.194089i	1.00736	−	0.00743207i
$683$	28.8811	−	28.8811i	1.10510	−	1.10510i	0.111320	−	0.993785i	$-0.464492\pi$
$683$	28.8811	−	28.8811i	1.10510	−	1.10510i	0.993785	−	0.111320i	$-0.0355080\pi$
$684$	−6.26429	+	2.03539i	−0.239521	+	0.0778251i
$685$	−3.81126	−	5.06758i	−0.145621	−	0.193622i
$686$	3.25377	−	2.36401i	0.124230	−	0.0902581i
$687$	−8.50756	−	8.50756i	−0.324584	−	0.324584i
$688$	7.33719	+	7.33719i	0.279728	+	0.279728i
$689$	−20.0759	−	27.6321i	−0.764830	−	1.05270i
$690$	7.95175	−	2.72968i	0.302718	−	0.103917i
$691$	14.9746	+	10.8797i	0.569661	+	0.413883i	0.834982	−	0.550277i	$-0.185478\pi$
$691$	14.9746	+	10.8797i	0.569661	+	0.413883i	−0.265321	+	0.964160i	$0.585478\pi$
$692$	−3.95635	+	7.76478i	−0.150398	+	0.295172i
$693$	−16.7485	−	2.65270i	−0.636222	−	0.100768i
$694$	4.31275	+	13.2733i	0.163710	+	0.503846i
$695$	0.358322	−	2.53238i	0.0135919	−	0.0960585i
$696$	−5.06711	−	3.68147i	−0.192068	−	0.139546i
$697$	−19.2700	−	37.8195i	−0.729903	−	1.43252i
$698$	6.28480	+	12.3346i	0.237883	+	0.466872i
$699$	6.12032	+	4.44668i	0.231492	+	0.168189i
$700$	−13.1004	−	12.2623i	−0.495147	−	0.463470i
$701$	3.10019	+	9.54140i	0.117093	+	0.360374i	0.992378	−	0.123233i	$-0.0393264\pi$
$701$	3.10019	+	9.54140i	0.117093	+	0.360374i	−0.875285	+	0.483607i	$0.839326\pi$
$702$	−3.90654	−	0.618735i	−0.147443	−	0.0233527i
$703$	−11.9009	+	23.3568i	−0.448850	+	0.880918i
$704$	−3.82267	−	2.77733i	−0.144072	−	0.104675i
$705$	−6.13636	+	12.5515i	−0.231109	+	0.472719i
$706$	−5.96722	−	8.21317i	−0.224579	−	0.309107i
$707$	1.08146	+	1.08146i	0.0406724	+	0.0406724i
$708$	−0.787465	−	0.787465i	−0.0295947	−	0.0295947i
$709$	13.8443	−	10.0585i	0.519934	−	0.377754i	−0.296645	−	0.954988i	$-0.595868\pi$
$709$	13.8443	−	10.0585i	0.519934	−	0.377754i	0.816579	+	0.577234i	$0.195868\pi$
$710$	8.88731	−	6.68402i	0.333535	−	0.250847i
$711$	12.1483	−	3.94721i	0.455596	−	0.148032i
$712$	−2.57509	+	2.57509i	−0.0965056	+	0.0965056i
$713$	0.154441	+	20.9333i	0.00578384	+	0.783957i
$714$			19.7828i			0.740352i
$715$	−39.9519	−	12.2555i	−1.49412	−	0.458329i
$716$	9.40019	+	3.05431i	0.351302	+	0.114145i
$717$	23.0750	+	3.65473i	0.861753	+	0.136488i
$718$	4.04884	−	4.04884i	0.151101	−	0.151101i
$719$	−31.5441			−1.17640			−0.588198	−	0.808717i	$-0.700162\pi$
$719$	−31.5441			−1.17640			−0.588198	+	0.808717i	$0.700162\pi$
$720$	−1.60704	−	1.55481i	−0.0598907	−	0.0579443i
$721$	−7.03136	−	5.10858i	−0.261862	−	0.190254i
$722$	3.81451	+	24.0839i	0.141961	+	0.896310i
$723$	2.69014	+	1.37070i	0.100048	+	0.0509768i
$724$	−17.4007	+	12.6424i	−0.646692	+	0.469849i
$725$	−19.2341	−	24.7138i	−0.714335	−	0.917847i
$726$	−10.7720	−	3.50003i	−0.399786	−	0.129898i
$727$	0.281326	+	1.77622i	0.0104338	+	0.0658764i	0.992356	−	0.123409i	$-0.0393828\pi$
$727$	0.281326	+	1.77622i	0.0104338	+	0.0658764i	−0.981922	+	0.189286i	$0.939383\pi$
$728$	−12.6474	+	6.44415i	−0.468742	+	0.238836i
$729$	−0.951057	−	0.309017i	−0.0352243	−	0.0114451i
$730$	−3.28457	+	6.71838i	−0.121567	+	0.248658i
$731$	17.6754	−	54.3992i	0.653747	−	2.01203i
$732$	−0.305012	+	0.598620i	−0.0112736	+	0.0221256i
$733$	−6.27928	+	39.6458i	−0.231930	+	1.46435i	0.546943	+	0.837170i	$0.315792\pi$
$733$	−6.27928	+	39.6458i	−0.231930	+	1.46435i	−0.778873	+	0.627181i	$0.784208\pi$
$734$	2.59160	+	7.97614i	0.0956578	+	0.294405i
$735$	−12.4343	+	4.26845i	−0.458646	+	0.157444i
$736$	2.20997	−	3.04176i	0.0814606	−	0.112121i
$737$	8.01041	−	50.5758i	0.295067	−	1.86298i
$738$	5.44476	−	5.44476i	0.200424	−	0.200424i
$739$	32.0235			1.17800			0.589002	−	0.808132i	$-0.299521\pi$
$739$	32.0235			1.17800			0.589002	+	0.808132i	$0.299521\pi$
$740$	−8.89800	+	0.146976i	−0.327097	+	0.00540295i
$741$	−8.05045	+	24.7767i	−0.295741	+	0.910196i
$742$	−27.6128	−	14.0694i	−1.01370	−	0.516505i
$743$	11.4688	+	11.4688i	0.420751	+	0.420751i	0.885462	−	0.464711i	$-0.153842\pi$
$743$	11.4688	+	11.4688i	0.420751	+	0.420751i	−0.464711	+	0.885462i	$0.653842\pi$
$744$	4.94213	−	2.56424i	0.181187	−	0.0940097i
$745$	−6.42525	−	36.6401i	−0.235403	−	1.34239i
$746$	5.14077	+	15.8217i	0.188217	+	0.579272i
$747$	−5.07941	−	9.96890i	−0.185846	−	0.364743i
$748$	−4.07457	+	25.7259i	−0.148981	+	0.940630i
$749$		−	4.14114i		−	0.151314i
$750$	−5.56293	−	9.69813i	−0.203130	−	0.354126i
$751$	31.3202	−	22.7555i	1.14289	−	0.830359i	0.155372	−	0.987856i	$-0.450343\pi$
$751$	31.3202	−	22.7555i	1.14289	−	0.830359i	0.987519	+	0.157497i	$0.0503425\pi$
$752$	0.977424	+	6.17121i	0.0356430	+	0.225041i
$753$	−3.41028	+	0.540136i	−0.124278	+	0.0196836i
$754$	−23.5603	+	7.65522i	−0.858017	+	0.278787i
$755$	24.4406	+	23.6463i	0.889484	+	0.860577i
$756$	−3.41313	+	1.10899i	−0.124134	+	0.0403337i
$757$	5.74494	+	11.2751i	0.208804	+	0.409800i	0.971528	−	0.236923i	$-0.0761389\pi$
$757$	5.74494	+	11.2751i	0.208804	+	0.409800i	−0.762725	+	0.646723i	$0.776139\pi$
$758$	8.63614	−	1.36783i	0.313679	−	0.0496818i
$759$	5.48983	−	16.8960i	0.199268	−	0.613285i
$760$	−11.7708	+	8.85264i	−0.426971	+	0.321119i
$761$	−12.3157	+	16.9512i	−0.446445	+	0.614479i	−0.971629	−	0.236510i	$-0.923997\pi$
$761$	−12.3157	+	16.9512i	−0.446445	+	0.614479i	0.525184	+	0.850989i	$0.323997\pi$
$762$	17.2574	−	8.79309i	0.625170	−	0.318540i
$763$	−37.9366	−	19.3297i	−1.37340	−	0.699781i
$764$	16.0929	+	22.1500i	0.582222	+	0.801360i
$765$	−3.61485	+	11.7841i	−0.130695	+	0.426056i
$766$	12.9906	−	17.8800i	0.469369	−	0.646031i
$767$	−4.35050	+	0.689051i	−0.157087	+	0.0248802i
$768$	−0.987688	−	0.156434i	−0.0356401	−	0.00564484i
$769$			2.13901i			0.0771348i	0.999256	+	0.0385674i	$0.0122794\pi$
$769$			2.13901i			0.0771348i	−0.999256	+	0.0385674i	$0.987721\pi$
$770$	−37.3476	+	6.54932i	−1.34592	+	0.236021i
$771$	5.08448	+	6.99819i	0.183113	+	0.252034i
$772$	−15.0505	+	7.66863i	−0.541681	+	0.276000i
$773$	−9.72150	+	19.0795i	−0.349658	+	0.686243i	−0.997119	−	0.0758562i	$-0.975831\pi$
$773$	−9.72150	+	19.0795i	−0.349658	+	0.686243i	0.647461	+	0.762099i	$0.275831\pi$
$774$	10.3764			0.372970
$775$	27.2977	−	5.46222i	0.980562	−	0.196209i
$776$	7.67182			0.275402
$777$	−6.48425	+	12.7261i	−0.232621	+	0.456545i
$778$	−13.8711	+	7.06770i	−0.497305	+	0.253389i
$779$	−29.8111	−	41.0314i	−1.06809	−	1.47010i
$780$	−8.71125	+	1.52761i	−0.311913	+	0.0546974i
$781$		−	23.4984i		−	0.840841i
$782$	−20.4705	−	3.24221i	−0.732025	−	0.115941i
$783$	−6.18618	+	0.979795i	−0.221076	+	0.0350150i
$784$	−3.45577	+	4.75647i	−0.123421	+	0.169874i
$785$	11.3004	−	36.8386i	0.403330	−	1.31483i
$786$	−8.48856	−	11.6835i	−0.302777	−	0.416737i
$787$	−20.7012	−	10.5478i	−0.737919	−	0.375988i	0.0442786	−	0.999019i	$-0.485901\pi$
$787$	−20.7012	−	10.5478i	−0.737919	−	0.375988i	−0.782197	+	0.623031i	$0.785901\pi$
$788$	−7.09377	+	3.61446i	−0.252705	+	0.128760i
$789$	2.07816	−	2.86034i	0.0739845	−	0.101831i
$790$	22.8269	−	17.1678i	0.812146	−	0.610804i
$791$	1.55181	−	4.77598i	0.0551760	−	0.169814i
$792$	−4.66690	+	0.739165i	−0.165831	+	0.0262651i
$793$	1.20640	+	2.36769i	0.0428404	+	0.0840790i
$794$	−16.7830	+	5.45312i	−0.595605	+	0.193524i
$795$	−13.8774	−	13.4264i	−0.492182	−	0.476186i
$796$	22.8447	−	7.42269i	0.809708	−	0.263090i
$797$	30.6906	−	4.86091i	1.08712	−	0.172182i	0.412944	−	0.910757i	$-0.364501\pi$
$797$	30.6906	−	4.86091i	1.08712	−	0.172182i	0.674172	+	0.738574i	$0.264501\pi$
$798$	3.69781	+	23.3470i	0.130901	+	0.826476i
$799$	27.8644	−	20.2447i	0.985771	−	0.716205i
$800$	−4.52757	−	2.12158i	−0.160074	−	0.0750091i
$801$			3.64173i			0.128674i
$802$	−5.81339	+	36.7043i	−0.205278	+	1.29607i
$803$	7.17420	+	14.0802i	0.253172	+	0.496878i
$804$	−3.34885	−	10.3067i	−0.118105	−	0.363490i
$805$	−5.21142	−	29.7182i	−0.183678	−	1.04743i
$806$	3.28441	−	21.7755i	0.115688	−	0.767010i
$807$	−4.19415	−	4.19415i	−0.147641	−	0.147641i
$808$	0.379716	+	0.193475i	0.0133584	+	0.00680643i
$809$	3.02684	−	9.31566i	0.106418	−	0.327521i	−0.883643	−	0.468162i	$-0.844916\pi$
$809$	3.02684	−	9.31566i	0.106418	−	0.327521i	0.990061	+	0.140641i	$0.0449163\pi$
$810$	−2.23576	+	0.0369301i	−0.0785567	+	0.00129759i
$811$	−34.1563			−1.19939			−0.599696	−	0.800228i	$-0.704712\pi$
$811$	−34.1563			−1.19939			−0.599696	+	0.800228i	$0.704712\pi$
$812$	−15.8940	+	15.8940i	−0.557771	+	0.557771i
$813$	−4.47910	+	28.2799i	−0.157089	+	0.991821i
$814$	−11.0534	+	15.2136i	−0.387420	+	0.533238i
$815$	4.33440	−	1.48791i	0.151827	−	0.0521193i
$816$	1.70343	+	5.24261i	0.0596319	+	0.183528i
$817$	10.6916	−	67.5041i	0.374052	−	2.36167i
$818$	−8.16972	+	16.0340i	−0.285648	+	0.560615i
$819$	−4.38633	+	13.4997i	−0.153271	+	0.471719i
$820$	7.56230	−	15.4682i	0.264087	−	0.540174i
$821$	24.6067	+	7.99520i	0.858780	+	0.279034i	0.705119	−	0.709089i	$-0.250894\pi$
$821$	24.6067	+	7.99520i	0.858780	+	0.279034i	0.153661	+	0.988124i	$0.450894\pi$
$822$	−2.52663	+	1.28738i	−0.0881264	+	0.0449026i
$823$	8.52500	+	53.8247i	0.297163	+	1.87621i	0.457589	+	0.889164i	$0.348713\pi$
$823$	8.52500	+	53.8247i	0.297163	+	1.87621i	−0.160426	+	0.987048i	$0.551287\pi$
$824$	−2.30325	−	0.748372i	−0.0802376	−	0.0260708i
$825$	−23.4438	−	2.92314i	−0.816210	−	0.101771i
$826$	−3.23333	+	2.34915i	−0.112502	+	0.0817375i
$827$	−13.6180	−	6.93872i	−0.473544	−	0.241283i	0.200895	−	0.979613i	$-0.435615\pi$
$827$	−13.6180	−	6.93872i	−0.473544	−	0.241283i	−0.674440	+	0.738330i	$0.735615\pi$
$828$	−0.588167	−	3.71354i	−0.0204402	−	0.129054i
$829$	6.50559	+	4.72659i	0.225949	+	0.164161i	0.695000	−	0.719009i	$-0.255404\pi$
$829$	6.50559	+	4.72659i	0.225949	+	0.164161i	−0.469052	+	0.883171i	$0.655404\pi$
$830$	−17.9801	−	17.3958i	−0.624098	−	0.603816i
$831$	−4.89072			−0.169657
$832$	−2.79678	+	2.79678i	−0.0969607	+	0.0969607i
$833$	32.0102	+	5.06991i	1.10909	+	0.175662i
$834$	−1.08781	−	0.353452i	−0.0376679	−	0.0122390i
$835$	6.35460	+	1.94931i	0.219910	+	0.0674586i
$836$			31.1225i			1.07639i
$837$	1.68142	−	5.30781i	0.0581184	−	0.183465i
$838$	−13.0938	+	13.0938i	−0.452318	+	0.452318i
$839$	16.0587	−	5.21778i	0.554407	−	0.180138i	−0.0183959	−	0.999831i	$-0.505856\pi$
$839$	16.0587	−	5.21778i	0.554407	−	0.180138i	0.572803	+	0.819693i	$0.305856\pi$
$840$	−6.41337	+	4.82341i	−0.221282	+	0.166423i
$841$	−8.27530	+	6.01236i	−0.285355	+	0.207323i
$842$	−25.7559	−	25.7559i	−0.887605	−	0.887605i
$843$	12.7008	+	12.7008i	0.437440	+	0.437440i
$844$	2.96318	+	4.07847i	0.101997	+	0.140387i
$845$	−2.59660	+	5.31119i	−0.0893259	+	0.182711i
$846$	5.05485	+	3.67256i	0.173789	+	0.126265i
$847$	−18.4537	+	36.2173i	−0.634075	+	1.24444i
$848$	−8.52910	−	1.35088i	−0.292890	−	0.0463893i
$849$	1.81531	+	5.58695i	0.0623013	+	0.191744i
$850$	0.910284	+	27.5470i	0.0312225	+	0.944854i
$851$	−12.1058	−	8.79536i	−0.414981	−	0.301501i
$852$	−2.25776	−	4.43110i	−0.0773495	−	0.151807i
$853$	5.52399	+	10.8414i	0.189138	+	0.371204i	0.966030	−	0.258430i	$-0.0832051\pi$
$853$	5.52399	+	10.8414i	0.189138	+	0.371204i	−0.776892	+	0.629633i	$0.783205\pi$
$854$	1.95063	+	1.41721i	0.0667491	+	0.0484961i
$855$	−2.06344	+	14.5830i	−0.0705680	+	0.498727i
$856$	−0.356579	−	1.09744i	−0.0121876	−	0.0375096i
$857$	−22.9543	−	3.63560i	−0.784104	−	0.124190i	−0.248469	−	0.968640i	$-0.579928\pi$
$857$	−22.9543	−	3.63560i	−0.784104	−	0.124190i	−0.535635	+	0.844450i	$0.679928\pi$
$858$	−8.48453	+	16.6518i	−0.289657	+	0.568484i
$859$	30.8219	+	22.3934i	1.05163	+	0.764052i	0.972521	−	0.232814i	$-0.0747932\pi$
$859$	30.8219	+	22.3934i	1.05163	+	0.764052i	0.0791066	+	0.996866i	$0.474793\pi$
$860$	21.9452	−	7.53335i	0.748326	−	0.256885i
$861$	−16.2427	−	22.3562i	−0.553551	−	0.761897i
$862$	11.4496	+	11.4496i	0.389976	+	0.389976i
$863$	15.4214	+	15.4214i	0.524949	+	0.524949i	0.919062	−	0.394113i	$-0.128948\pi$
$863$	15.4214	+	15.4214i	0.524949	+	0.524949i	−0.394113	+	0.919062i	$0.628948\pi$
$864$	−0.809017	+	0.587785i	−0.0275233	+	0.0199969i
$865$	11.7127	+	15.5736i	0.398242	+	0.529517i
$866$	34.1096	−	11.0829i	1.15909	−	0.376612i
$867$	9.46577	−	9.46577i	0.321474	−	0.321474i
$868$	−6.31464	−	18.9574i	−0.214333	−	0.643457i
$869$		−	60.3555i		−	2.04742i
$870$	−12.3720	+	6.56343i	−0.419449	+	0.222521i
$871$	−40.7655	−	13.2455i	−1.38129	−	0.448807i
$872$	−11.7179	−	1.85594i	−0.396819	−	0.0628500i
$873$	5.42480	−	5.42480i	0.183602	−	0.183602i
$874$	−24.7647			−0.837679
$875$	−37.4990	+	14.2737i	−1.26770	+	0.482540i
$876$	2.70567	+	1.96579i	0.0914163	+	0.0664178i
$877$	3.04429	+	19.2209i	0.102798	+	0.649044i	0.984252	+	0.176773i	$0.0565657\pi$
$877$	3.04429	+	19.2209i	0.102798	+	0.649044i	−0.881453	+	0.472271i	$0.843434\pi$
$878$	3.90141	+	1.98787i	0.131666	+	0.0670873i
$879$	0.155840	−	0.113224i	0.00525636	−	0.00381897i
$880$	−9.33350	+	4.95150i	−0.314632	+	0.166915i
$881$	−31.4446	−	10.2170i	−1.05939	−	0.344218i	−0.273046	−	0.962001i	$-0.588031\pi$
$881$	−31.4446	−	10.2170i	−1.05939	−	0.344218i	−0.786349	+	0.617783i	$0.788031\pi$
$882$	0.919728	+	5.80693i	0.0309688	+	0.195530i
$883$	−7.23697	+	3.68742i	−0.243544	+	0.124092i	−0.571502	−	0.820600i	$-0.693639\pi$
$883$	−7.23697	+	3.68742i	−0.243544	+	0.124092i	0.327959	+	0.944692i	$0.393639\pi$
$884$	20.7358	+	6.73746i	0.697419	+	0.226605i
$885$	−2.35527	+	0.808518i	−0.0791716	+	0.0271780i
$886$	−10.6028	+	32.6322i	−0.356209	+	1.09630i
$887$	−19.9296	+	39.1141i	−0.669172	+	1.31332i	0.267650	+	0.963516i	$0.413753\pi$
$887$	−19.9296	+	39.1141i	−0.669172	+	1.31332i	−0.936822	+	0.349807i	$0.886247\pi$
$888$	−0.622586	+	3.93085i	−0.0208926	+	0.131911i
$889$	−21.4795	−	66.1070i	−0.720398	−	2.21716i
$890$	2.64393	+	7.70198i	0.0886249	+	0.258171i
$891$	−2.77733	+	3.82267i	−0.0930440	+	0.128064i
$892$	−1.75314	+	11.0689i	−0.0586995	+	0.370614i
$893$	29.1005	−	29.1005i	0.973812	−	0.973812i
$894$	−16.6360			−0.556391
$895$	15.3677	−	15.8839i	0.513684	−	0.530939i
$896$	−1.10899	+	3.41313i	−0.0370489	+	0.114025i
$897$	−13.2502	−	6.75130i	−0.442410	−	0.225419i
$898$	0.122267	+	0.122267i	0.00408011	+	0.00408011i
$899$	−5.70923	−	34.4020i	−0.190413	−	1.14737i
$900$	−4.70166	+	1.70129i	−0.156722	+	0.0567098i
$901$	14.7098	+	45.2721i	0.490054	+	1.50823i
$902$	−16.5177	−	32.4178i	−0.549979	−	1.07939i
$903$	5.82537	−	36.7800i	0.193856	−	1.22396i
$904$		−	1.39930i		−	0.0465399i
$905$	8.30712	+	47.3715i	0.276138	+	1.57468i
$906$	12.3039	−	8.93932i	0.408770	−	0.296989i
$907$	1.95317	+	12.3318i	0.0648539	+	0.409471i	0.998663	+	0.0516989i	$0.0164636\pi$
$907$	1.95317	+	12.3318i	0.0648539	+	0.409471i	−0.933809	+	0.357772i	$0.883536\pi$
$908$	28.0004	−	4.43483i	0.929226	−	0.147175i
$909$	0.405307	−	0.131692i	0.0134432	−	0.00436796i
$910$	0.524203	+	31.7355i	0.0173771	+	1.05202i
$911$	−11.9494	+	3.88261i	−0.395902	+	0.128637i	−0.500201	−	0.865910i	$-0.666740\pi$
$911$	−11.9494	+	3.88261i	−0.395902	+	0.128637i	0.104298	+	0.994546i	$0.466740\pi$
$912$	2.99028	+	5.86876i	0.0990181	+	0.194334i
$913$	−52.2150	+	8.27004i	−1.72806	+	0.273698i
$914$	2.28422	−	7.03009i	0.0755552	−	0.232535i
$915$	0.902980	+	1.20063i	0.0298516	+	0.0396917i
$916$	−7.07194	+	9.73370i	−0.233664	+	0.321610i
$917$	−46.1788	+	23.5293i	−1.52496	+	0.777005i
$918$	4.91159	+	2.50258i	0.162107	+	0.0825974i
$919$	−29.5657	−	40.6936i	−0.975281	−	1.34236i	−0.939333	−	0.343006i	$-0.888555\pi$
$919$	−29.5657	−	40.6936i	−0.975281	−	1.34236i	−0.0359479	−	0.999354i	$-0.511445\pi$
$920$	−3.94000	−	7.42684i	−0.129898	−	0.244856i
$921$	16.4917	−	22.6989i	0.543419	−	0.747953i
$922$	0.841228	−	0.133237i	0.0277044	−	0.00438794i
$923$	−19.4278	−	3.07706i	−0.639473	−	0.101283i
$924$			16.9572i			0.557852i
$925$	−8.44357	+	18.0191i	−0.277623	+	0.592463i
$926$	−15.6380	−	21.5238i	−0.513896	−	0.707317i
$927$	−2.15783	+	1.09947i	−0.0708723	+	0.0361112i
$928$	−2.84348	+	5.58063i	−0.0933417	+	0.183193i
$929$	−54.0089			−1.77197			−0.885987	−	0.463711i	$-0.846518\pi$
$929$	−54.0089			−1.77197			−0.885987	+	0.463711i	$0.846518\pi$
$930$	−0.297450	−	12.4463i	−0.00975376	−	0.408132i
$931$	38.7251			1.26916
$932$	3.43450	−	6.74059i	0.112501	−	0.220795i
$933$	23.5516	−	12.0001i	0.771043	−	0.392866i
$934$	−20.1872	−	27.7853i	−0.660545	−	0.909163i
$935$	47.6776	+	33.4508i	1.55922	+	1.09396i
$936$			3.95524i			0.129281i
$937$	−0.281321	−	0.0445569i	−0.00919037	−	0.00145561i	0.151838	−	0.988405i	$-0.451481\pi$
$937$	−0.281321	−	0.0445569i	−0.00919037	−	0.00145561i	−0.161028	+	0.986950i	$0.551481\pi$
$938$	−38.4132	+	6.08405i	−1.25423	+	0.198651i
$939$	1.62617	−	2.23824i	0.0530682	−	0.0730421i
$940$	13.3570	+	4.09732i	0.435656	+	0.133640i
$941$	22.0473	+	30.3455i	0.718721	+	0.989235i	0.999565	+	0.0294813i	$0.00938556\pi$
$941$	22.0473	+	30.3455i	0.718721	+	0.989235i	−0.280844	+	0.959753i	$0.590614\pi$
$942$	−15.3542	−	7.82336i	−0.500267	−	0.254899i
$943$	25.7954	−	13.1434i	0.840015	−	0.428009i
$944$	−0.654583	+	0.900957i	−0.0213049	+	0.0293236i
$945$	−1.12427	+	7.94560i	−0.0365726	+	0.258470i
$946$	15.1508	−	46.6294i	0.492595	−	1.51605i
$947$	−26.3857	+	4.17908i	−0.857418	+	0.135802i	−0.569639	−	0.821895i	$-0.692917\pi$
$947$	−26.3857	+	4.17908i	−0.857418	+	0.135802i	−0.287779	+	0.957697i	$0.592917\pi$
$948$	−5.79902	−	11.3812i	−0.188343	−	0.369645i
$949$	12.5805	−	4.08764i	0.408379	−	0.132690i
$950$	6.22338	+	32.3399i	0.201913	+	1.04925i
$951$	17.5380	−	5.69845i	0.568710	−	0.184785i
$952$	19.5392	−	3.09471i	0.633270	−	0.100300i
$953$	−6.19449	−	39.1105i	−0.200659	−	1.26691i	−0.858130	−	0.513432i	$-0.828374\pi$
$953$	−6.19449	−	39.1105i	−0.200659	−	1.26691i	0.657471	−	0.753480i	$-0.271626\pi$
$954$	−6.98620	+	5.07577i	−0.226186	+	0.164334i
$955$	60.3010	−	10.5745i	1.95129	−	0.342181i
$956$		−	23.3627i		−	0.755603i
$957$	−4.62960	+	29.2302i	−0.149654	+	0.944877i
$958$	16.2844	+	31.9598i	0.526124	+	1.03258i
$959$	3.14478	+	9.67863i	0.101550	+	0.312539i
$960$	−1.28427	+	1.83048i	−0.0414497	+	0.0590784i
$961$	29.6209	+	9.14347i	0.955512	+	0.294951i
$962$	11.1307	+	11.1307i	0.358870	+	0.358870i
$963$	−1.02814	−	0.523866i	−0.0331315	−	0.0168813i
$964$	0.932990	−	2.87145i	0.0300496	−	0.0924831i
$965$	0.623809	+	37.7657i	0.0200811	+	1.21572i
$966$	−13.4932			−0.434136
$967$	−12.5588	+	12.5588i	−0.403863	+	0.403863i	−0.879592	−	0.475729i	$-0.842184\pi$
$967$	−12.5588	+	12.5588i	−0.403863	+	0.403863i	0.475729	+	0.879592i	$0.342184\pi$
$968$	−1.77183	+	11.1869i	−0.0569487	+	0.359560i
$969$	21.3415	−	29.3741i	0.685588	−	0.943631i
$970$	7.53457	−	15.4115i	0.241921	−	0.494833i
$971$	−12.1682	−	37.4500i	−0.390497	−	1.20183i	−0.932413	−	0.361394i	$-0.882301\pi$
$971$	−12.1682	−	37.4500i	−0.390497	−	1.20183i	0.541916	−	0.840432i	$-0.317699\pi$
$972$	−0.156434	+	0.987688i	−0.00501764	+	0.0316801i
$973$	−1.86355	+	3.65742i	−0.0597427	+	0.117252i
$974$	−0.929649	+	2.86117i	−0.0297879	+	0.0916777i
$975$	−5.48667	+	18.9998i	−0.175714	+	0.608482i
$976$	0.638965	+	0.207612i	0.0204528	+	0.00664550i
$977$	38.0500	−	19.3875i	1.21733	−	0.620260i	0.277112	−	0.960838i	$-0.410623\pi$
$977$	38.0500	−	19.3875i	1.21733	−	0.620260i	0.940216	+	0.340578i	$0.110623\pi$
$978$	−0.320602	−	2.02420i	−0.0102517	−	0.0647268i
$979$	16.3652	+	5.31739i	0.523035	+	0.169944i
$980$	6.16105	+	11.6135i	0.196808	+	0.370979i
$981$	−9.59818	+	6.97348i	−0.306446	+	0.222646i
$982$	22.6366	+	11.5339i	0.722362	+	0.368062i
$983$	2.99009	+	18.8787i	0.0953691	+	0.602137i	0.988368	+	0.152079i	$0.0485967\pi$
$983$	2.99009	+	18.8787i	0.0953691	+	0.602137i	−0.892999	+	0.450058i	$0.851403\pi$
$984$	−6.22947	−	4.52598i	−0.198588	−	0.144283i
$985$	0.294020	+	17.8001i	0.00936825	+	0.567158i
$986$	34.5258			1.09953
$987$	15.8556	−	15.8556i	0.504689	−	0.504689i
$988$	25.7311	+	4.07540i	0.818614	+	0.129656i
$989$	37.1039	+	12.0558i	1.17983	+	0.383351i
$990$	−3.09854	+	10.1010i	−0.0984782	+	0.321032i
$991$			17.3805i			0.552108i	0.961142	+	0.276054i	$0.0890269\pi$
$991$			17.3805i			0.552108i	−0.961142	+	0.276054i	$0.910973\pi$
$992$	−3.30579	−	4.48015i	−0.104959	−	0.142245i
$993$	−13.0656	+	13.0656i	−0.414624	+	0.414624i
$994$	−16.9740	+	5.51517i	−0.538381	+	0.174931i
$995$	7.52497	−	53.1813i	0.238557	−	1.68596i
$996$	−9.05157	+	6.57635i	−0.286810	+	0.208380i
$997$	−0.981607	−	0.981607i	−0.0310878	−	0.0310878i	0.691392	−	0.722480i	$-0.256998\pi$
$997$	−0.981607	−	0.981607i	−0.0310878	−	0.0310878i	−0.722480	+	0.691392i	$0.756998\pi$
$998$	−25.9716	−	25.9716i	−0.822116	−	0.822116i
$999$	2.33930	+	3.21977i	0.0740121	+	0.101869i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bj.b.337.1	yes	128
5.3	odd	4		930.2.bj.a.523.9	yes	128
31.23	odd	10		930.2.bj.a.457.9	✓	128
155.23	even	20	inner	930.2.bj.b.643.1	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bj.a.457.9	✓	128	31.23	odd	10
930.2.bj.a.523.9	yes	128	5.3	odd	4
930.2.bj.b.337.1	yes	128	1.1	even	1	trivial
930.2.bj.b.643.1	yes	128	155.23	even	20	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.bj (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.453990 + 0.891007i) q^{2} +(0.891007 - 0.453990i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-2.20246 + 0.386226i) q^{5} +1.00000i q^{6} +(3.54459 + 0.561408i) q^{7} +(0.987688 - 0.156434i) q^{8} +(0.587785 - 0.809017i) q^{9} +O(q^{10})\)	\(q+(-0.453990 + 0.891007i) q^{2} +(0.891007 - 0.453990i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-2.20246 + 0.386226i) q^{5} +1.00000i q^{6} +(3.54459 + 0.561408i) q^{7} +(0.987688 - 0.156434i) q^{8} +(0.587785 - 0.809017i) q^{9} +(0.655766 - 2.13775i) q^{10} +(-2.77733 - 3.82267i) q^{11} +(-0.891007 - 0.453990i) q^{12} +(-3.52414 + 1.79564i) q^{13} +(-2.10943 + 2.90338i) q^{14} +(-1.78706 + 1.34403i) q^{15} +(-0.309017 + 0.951057i) q^{16} +(5.44454 - 0.862330i) q^{17} +(0.453990 + 0.891007i) q^{18} +(6.26429 - 2.03539i) q^{19} +(1.60704 + 1.55481i) q^{20} +(3.41313 - 1.10899i) q^{21} +(4.66690 - 0.739165i) q^{22} +(0.588167 + 3.71354i) q^{23} +(0.809017 - 0.587785i) q^{24} +(4.70166 - 1.70129i) q^{25} -3.95524i q^{26} +(0.156434 - 0.987688i) q^{27} +(-1.62927 - 3.19762i) q^{28} +(-1.93546 - 5.95675i) q^{29} +(-0.386226 - 2.20246i) q^{30} +(5.50549 + 0.830396i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(-4.21007 - 2.14514i) q^{33} +(-1.70343 + 5.24261i) q^{34} +(-8.02365 + 0.132534i) q^{35} -1.00000 q^{36} +(-2.81418 + 2.81418i) q^{37} +(-1.03038 + 6.50557i) q^{38} +(-2.32483 + 3.19985i) q^{39} +(-2.11492 + 0.726011i) q^{40} +(-2.37945 - 7.32319i) q^{41} +(-0.561408 + 3.54459i) q^{42} +(4.71077 - 9.24540i) q^{43} +(-1.46013 + 4.49381i) q^{44} +(-0.982110 + 2.00885i) q^{45} +(-3.57581 - 1.16185i) q^{46} +(5.56713 - 2.83660i) q^{47} +(0.156434 + 0.987688i) q^{48} +(5.59156 + 1.81681i) q^{49} +(-0.618645 + 4.96158i) q^{50} +(4.45963 - 3.24011i) q^{51} +(3.52414 + 1.79564i) q^{52} +(1.35088 + 8.52910i) q^{53} +(0.809017 + 0.587785i) q^{54} +(7.59337 + 7.34659i) q^{55} +3.58878 q^{56} +(4.65747 - 4.65747i) q^{57} +(6.18618 + 0.979795i) q^{58} +(1.05914 + 0.344135i) q^{59} +(2.13775 + 0.655766i) q^{60} -0.671847i q^{61} +(-3.23933 + 4.52844i) q^{62} +(2.53765 - 2.53765i) q^{63} +(0.951057 - 0.309017i) q^{64} +(7.06826 - 5.31594i) q^{65} +(3.82267 - 2.77733i) q^{66} +(7.66300 + 7.66300i) q^{67} +(-3.89786 - 3.89786i) q^{68} +(2.20997 + 3.04176i) q^{69} +(3.52457 - 7.20930i) q^{70} +(4.02335 + 2.92314i) q^{71} +(0.453990 - 0.891007i) q^{72} +(-3.30322 - 0.523179i) q^{73} +(-1.22984 - 3.78506i) q^{74} +(3.41684 - 3.65037i) q^{75} +(-5.32872 - 3.87154i) q^{76} +(-7.69842 - 15.1090i) q^{77} +(-1.79564 - 3.52414i) q^{78} +(10.3339 + 7.50804i) q^{79} +(0.313275 - 2.21401i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(7.60525 + 1.20455i) q^{82} +(5.07941 - 9.96890i) q^{83} +(-2.90338 - 2.10943i) q^{84} +(-11.6583 + 4.00207i) q^{85} +(6.09907 + 8.39465i) q^{86} +(-4.42882 - 4.42882i) q^{87} +(-3.34113 - 3.34113i) q^{88} +(-2.94622 + 2.14055i) q^{89} +(-1.34403 - 1.78706i) q^{90} +(-13.4997 + 4.38633i) q^{91} +(2.65860 - 2.65860i) q^{92} +(5.28242 - 1.75955i) q^{93} +6.24814i q^{94} +(-13.0107 + 6.90229i) q^{95} +(-0.951057 - 0.309017i) q^{96} +(7.57737 + 1.20014i) q^{97} +(-4.15730 + 4.15730i) q^{98} -4.72507 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q + 4 q^{7}+O(q^{10}) \) 128 * q + 4 * q^7	\( 128 q + 4 q^{7} - 4 q^{10} - 4 q^{15} + 32 q^{16} + 12 q^{17} + 40 q^{19} + 40 q^{21} + 4 q^{22} + 32 q^{24} - 8 q^{25} - 4 q^{28} - 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} - 64 q^{37} - 16 q^{38} - 24 q^{41} + 16 q^{42} - 24 q^{43} + 8 q^{44} + 20 q^{46} - 12 q^{47} + 100 q^{49} - 24 q^{50} + 64 q^{53} + 32 q^{54} + 68 q^{55} - 16 q^{57} + 40 q^{58} + 8 q^{62} - 4 q^{63} + 84 q^{65} - 12 q^{66} - 32 q^{67} - 8 q^{68} + 88 q^{70} + 24 q^{71} + 20 q^{73} + 16 q^{74} - 24 q^{75} - 24 q^{76} + 60 q^{77} + 56 q^{79} + 32 q^{81} - 16 q^{82} + 8 q^{83} - 68 q^{85} - 20 q^{87} + 4 q^{88} - 136 q^{89} - 40 q^{91} + 48 q^{93} - 92 q^{95} + 64 q^{97} - 16 q^{98} + 8 q^{99}+O(q^{100}) \) 128 * q + 4 * q^7 - 4 * q^10 - 4 * q^15 + 32 * q^16 + 12 * q^17 + 40 * q^19 + 40 * q^21 + 4 * q^22 + 32 * q^24 - 8 * q^25 - 4 * q^28 - 8 * q^29 + 20 * q^31 + 4 * q^33 + 24 * q^35 - 128 * q^36 - 64 * q^37 - 16 * q^38 - 24 * q^41 + 16 * q^42 - 24 * q^43 + 8 * q^44 + 20 * q^46 - 12 * q^47 + 100 * q^49 - 24 * q^50 + 64 * q^53 + 32 * q^54 + 68 * q^55 - 16 * q^57 + 40 * q^58 + 8 * q^62 - 4 * q^63 + 84 * q^65 - 12 * q^66 - 32 * q^67 - 8 * q^68 + 88 * q^70 + 24 * q^71 + 20 * q^73 + 16 * q^74 - 24 * q^75 - 24 * q^76 + 60 * q^77 + 56 * q^79 + 32 * q^81 - 16 * q^82 + 8 * q^83 - 68 * q^85 - 20 * q^87 + 4 * q^88 - 136 * q^89 - 40 * q^91 + 48 * q^93 - 92 * q^95 + 64 * q^97 - 16 * q^98 + 8 * q^99

Introduction

L-functions

Modular forms

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