LMFDB - Embedded newform 690.2.q.b.11.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [690,2,Mod(11,690)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(690, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 0, 9]))

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

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

chi := DirichletCharacter("690.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 690 = 2 \cdot 3 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	690.q (of order $22$, degree $10$, 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:	$5.50967773947$
Analytic rank:	$0$
Dimension:	$160$
Relative dimension:	$16$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			11.2
Character	$\chi$	$=$	690.11
Dual form			690.2.q.b.251.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.540641 - 0.841254i) q^{2} +(-1.23589 + 1.21350i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(0.959493 - 0.281733i) q^{5} +(1.68903 + 0.383629i) q^{6} +(-1.57741 + 1.36683i) q^{7} +(0.989821 - 0.142315i) q^{8} +(0.0548407 - 2.99950i) q^{9} +O(q^{10})$	\(q+(-0.540641 - 0.841254i) q^{2} +(-1.23589 + 1.21350i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(0.959493 - 0.281733i) q^{5} +(1.68903 + 0.383629i) q^{6} +(-1.57741 + 1.36683i) q^{7} +(0.989821 - 0.142315i) q^{8} +(0.0548407 - 2.99950i) q^{9} +(-0.755750 - 0.654861i) q^{10} +(-3.18184 - 2.04484i) q^{11} +(-0.590431 - 1.62831i) q^{12} +(0.684999 - 0.790531i) q^{13} +(2.00266 + 0.588035i) q^{14} +(-0.843944 + 1.51253i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(-0.274598 - 0.601286i) q^{17} +(-2.55299 + 1.57552i) q^{18} +(-0.675988 - 0.308713i) q^{19} +(-0.142315 + 0.989821i) q^{20} +(0.290852 - 3.60344i) q^{21} +3.78226i q^{22} +(4.76620 + 0.532257i) q^{23} +(-1.05061 + 1.37703i) q^{24} +(0.841254 - 0.540641i) q^{25} +(-1.03538 - 0.148865i) q^{26} +(3.57211 + 3.77360i) q^{27} +(-0.588035 - 2.00266i) q^{28} +(6.52326 - 2.97907i) q^{29} +(1.72869 - 0.107766i) q^{30} +(-0.806093 - 5.60650i) q^{31} +(-0.281733 + 0.959493i) q^{32} +(6.41381 - 1.33396i) q^{33} +(-0.357375 + 0.556086i) q^{34} +(-1.12843 + 1.75587i) q^{35} +(2.70566 + 1.29592i) q^{36} +(1.03825 - 3.53595i) q^{37} +(0.105760 + 0.735580i) q^{38} +(0.112726 + 1.80825i) q^{39} +(0.909632 - 0.415415i) q^{40} +(-3.40974 - 11.6125i) q^{41} +(-3.18865 + 1.70348i) q^{42} +(6.27140 + 0.901692i) q^{43} +(3.18184 - 2.04484i) q^{44} +(-0.792437 - 2.89345i) q^{45} +(-2.12904 - 4.29735i) q^{46} +2.65181i q^{47} +(1.72644 + 0.139349i) q^{48} +(-0.376217 + 2.61665i) q^{49} +(-0.909632 - 0.415415i) q^{50} +(1.06903 + 0.409898i) q^{51} +(0.434534 + 0.951496i) q^{52} +(-4.00210 - 4.61867i) q^{53} +(1.24332 - 5.04521i) q^{54} +(-3.62905 - 1.06558i) q^{55} +(-1.36683 + 1.57741i) q^{56} +(1.21007 - 0.438775i) q^{57} +(-6.03290 - 3.87711i) q^{58} +(-6.87698 - 5.95894i) q^{59} +(-1.02526 - 1.39601i) q^{60} +(11.8254 - 1.70023i) q^{61} +(-4.28068 + 3.70923i) q^{62} +(4.01330 + 4.80639i) q^{63} +(0.959493 - 0.281733i) q^{64} +(0.434534 - 0.951496i) q^{65} +(-4.58976 - 4.67445i) q^{66} +(-1.86860 - 2.90760i) q^{67} +0.661021 q^{68} +(-6.53639 + 5.12597i) q^{69} +2.08721 q^{70} +(-5.63612 - 8.76998i) q^{71} +(-0.372591 - 2.97677i) q^{72} +(4.81545 - 10.5444i) q^{73} +(-3.53595 + 1.03825i) q^{74} +(-0.383629 + 1.68903i) q^{75} +(0.561631 - 0.486656i) q^{76} +(7.81401 - 1.12348i) q^{77} +(1.46026 - 1.07245i) q^{78} +(4.94711 + 4.28670i) q^{79} +(-0.841254 - 0.540641i) q^{80} +(-8.99398 - 0.328989i) q^{81} +(-7.92562 + 9.14666i) q^{82} +(1.44461 + 0.424176i) q^{83} +(3.15698 + 1.76149i) q^{84} +(-0.432877 - 0.499566i) q^{85} +(-2.63203 - 5.76333i) q^{86} +(-4.44692 + 11.5978i) q^{87} +(-3.44046 - 1.57121i) q^{88} +(1.15319 - 8.02060i) q^{89} +(-2.00570 + 2.23096i) q^{90} +2.18327i q^{91} +(-2.46411 + 4.11438i) q^{92} +(7.79972 + 5.95081i) q^{93} +(2.23085 - 1.43368i) q^{94} +(-0.735580 - 0.105760i) q^{95} +(-0.816154 - 1.52771i) q^{96} +(4.53637 + 15.4495i) q^{97} +(2.40466 - 1.09817i) q^{98} +(-6.30799 + 9.43177i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q + 16 q^{4} + 16 q^{5} - 2 q^{6} - 46 q^{9}+O(q^{10}) $ 160 * q + 16 * q^4 + 16 * q^5 - 2 * q^6 - 46 * q^9	$ 160 q + 16 q^{4} + 16 q^{5} - 2 q^{6} - 46 q^{9} + 12 q^{11} + 12 q^{14} - 16 q^{16} - 8 q^{18} - 16 q^{20} + 70 q^{21} - 4 q^{23} + 2 q^{24} - 16 q^{25} + 42 q^{27} + 2 q^{30} - 4 q^{31} - 16 q^{33} + 2 q^{36} - 72 q^{38} + 140 q^{39} - 44 q^{41} + 44 q^{43} - 12 q^{44} + 2 q^{45} + 4 q^{46} + 70 q^{49} + 2 q^{51} + 52 q^{53} - 62 q^{54} + 10 q^{55} + 54 q^{56} - 94 q^{57} - 36 q^{58} - 44 q^{61} + 16 q^{64} - 54 q^{66} - 44 q^{67} - 30 q^{69} - 12 q^{70} - 36 q^{72} - 28 q^{73} + 24 q^{74} + 88 q^{77} - 54 q^{78} - 44 q^{79} + 16 q^{80} - 66 q^{81} - 28 q^{82} - 4 q^{83} - 4 q^{84} - 158 q^{86} + 156 q^{87} - 80 q^{89} + 8 q^{90} + 4 q^{92} + 4 q^{93} + 24 q^{94} - 2 q^{96} + 88 q^{98} - 58 q^{99}+O(q^{100}) $ 160 * q + 16 * q^4 + 16 * q^5 - 2 * q^6 - 46 * q^9 + 12 * q^11 + 12 * q^14 - 16 * q^16 - 8 * q^18 - 16 * q^20 + 70 * q^21 - 4 * q^23 + 2 * q^24 - 16 * q^25 + 42 * q^27 + 2 * q^30 - 4 * q^31 - 16 * q^33 + 2 * q^36 - 72 * q^38 + 140 * q^39 - 44 * q^41 + 44 * q^43 - 12 * q^44 + 2 * q^45 + 4 * q^46 + 70 * q^49 + 2 * q^51 + 52 * q^53 - 62 * q^54 + 10 * q^55 + 54 * q^56 - 94 * q^57 - 36 * q^58 - 44 * q^61 + 16 * q^64 - 54 * q^66 - 44 * q^67 - 30 * q^69 - 12 * q^70 - 36 * q^72 - 28 * q^73 + 24 * q^74 + 88 * q^77 - 54 * q^78 - 44 * q^79 + 16 * q^80 - 66 * q^81 - 28 * q^82 - 4 * q^83 - 4 * q^84 - 158 * q^86 + 156 * q^87 - 80 * q^89 + 8 * q^90 + 4 * q^92 + 4 * q^93 + 24 * q^94 - 2 * q^96 + 88 * q^98 - 58 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/690\mathbb{Z}\right)^\times$.

$n$	$277$	$461$	$511$
$\chi(n)$	$1$	$-1$	$e\left(\frac{9}{22}\right)$

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 $

$2$	−0.540641	−	0.841254i	−0.382291	−	0.594856i
$2$	−0.540641	−	0.841254i	−0.382291	−	0.594856i
$3$	−1.23589	+	1.21350i	−0.713541	+	0.700614i
$3$	−1.23589	+	1.21350i	−0.713541	+	0.700614i
$4$	−0.415415	+	0.909632i	−0.207708	+	0.454816i
$5$	0.959493	−	0.281733i	0.429098	−	0.125995i
$5$	0.959493	−	0.281733i	0.429098	−	0.125995i
$6$	1.68903	+	0.383629i	0.689544	+	0.156616i
$7$	−1.57741	+	1.36683i	−0.596204	+	0.516614i	−0.899866	−	0.436166i	$-0.856336\pi$
$7$	−1.57741	+	1.36683i	−0.596204	+	0.516614i	0.303662	+	0.952780i	$0.401791\pi$
$8$	0.989821	−	0.142315i	0.349955	−	0.0503159i
$9$	0.0548407	−	2.99950i	0.0182802	−	0.999833i
$10$	−0.755750	−	0.654861i	−0.238989	−	0.207085i
$11$	−3.18184	−	2.04484i	−0.959360	−	0.616543i	−0.0355388	−	0.999368i	$-0.511315\pi$
$11$	−3.18184	−	2.04484i	−0.959360	−	0.616543i	−0.923821	+	0.382825i	$0.874951\pi$
$12$	−0.590431	−	1.62831i	−0.170443	−	0.470052i
$13$	0.684999	−	0.790531i	0.189985	−	0.219254i	−0.652764	−	0.757561i	$-0.726391\pi$
$13$	0.684999	−	0.790531i	0.189985	−	0.219254i	0.842749	+	0.538307i	$0.180936\pi$
$14$	2.00266	+	0.588035i	0.535234	+	0.157159i
$15$	−0.843944	+	1.51253i	−0.217905	+	0.390535i
$16$	−0.654861	−	0.755750i	−0.163715	−	0.188937i
$17$	−0.274598	−	0.601286i	−0.0665998	−	0.145833i	0.873405	−	0.486995i	$-0.161907\pi$
$17$	−0.274598	−	0.601286i	−0.0665998	−	0.145833i	−0.940005	+	0.341162i	$0.889180\pi$
$18$	−2.55299	+	1.57552i	−0.601745	+	0.371353i
$19$	−0.675988	−	0.308713i	−0.155082	−	0.0708237i	0.336362	−	0.941733i	$-0.390804\pi$
$19$	−0.675988	−	0.308713i	−0.155082	−	0.0708237i	−0.491444	+	0.870909i	$0.663531\pi$
$20$	−0.142315	+	0.989821i	−0.0318226	+	0.221331i
$21$	0.290852	−	3.60344i	0.0634690	−	0.786334i
$22$			3.78226i			0.806380i
$23$	4.76620	+	0.532257i	0.993822	+	0.110983i
$23$	4.76620	+	0.532257i	0.993822	+	0.110983i
$24$	−1.05061	+	1.37703i	−0.214455	+	0.281086i
$25$	0.841254	−	0.540641i	0.168251	−	0.108128i
$26$	−1.03538	−	0.148865i	−0.203054	−	0.0291947i
$27$	3.57211	+	3.77360i	0.687453	+	0.726229i
$28$	−0.588035	−	2.00266i	−0.111128	−	0.378468i
$29$	6.52326	−	2.97907i	1.21134	−	0.553200i	0.295731	−	0.955271i	$-0.404437\pi$
$29$	6.52326	−	2.97907i	1.21134	−	0.553200i	0.915608	+	0.402071i	$0.131710\pi$
$30$	1.72869	−	0.107766i	0.315615	−	0.0196754i
$31$	−0.806093	−	5.60650i	−0.144779	−	1.00696i	−0.924596	−	0.380950i	$-0.875597\pi$
$31$	−0.806093	−	5.60650i	−0.144779	−	1.00696i	0.779817	−	0.626007i	$-0.215312\pi$
$32$	−0.281733	+	0.959493i	−0.0498038	+	0.169616i
$33$	6.41381	−	1.33396i	1.11650	−	0.232212i
$34$	−0.357375	+	0.556086i	−0.0612893	+	0.0953680i
$35$	−1.12843	+	1.75587i	−0.190740	+	0.296797i
$36$	2.70566	+	1.29592i	0.450943	+	0.215987i
$37$	1.03825	−	3.53595i	0.170687	−	0.581306i	−0.829068	−	0.559149i	$-0.811128\pi$
$37$	1.03825	−	3.53595i	0.170687	−	0.581306i	0.999754	−	0.0221579i	$-0.00705367\pi$
$38$	0.105760	+	0.735580i	0.0171566	+	0.119327i
$39$	0.112726	+	1.80825i	0.0180506	+	0.289552i
$40$	0.909632	−	0.415415i	0.143825	−	0.0656829i
$41$	−3.40974	−	11.6125i	−0.532512	−	1.81357i	−0.579893	−	0.814693i	$-0.696906\pi$
$41$	−3.40974	−	11.6125i	−0.532512	−	1.81357i	0.0473805	−	0.998877i	$-0.484913\pi$
$42$	−3.18865	+	1.70348i	−0.492019	+	0.262853i
$43$	6.27140	+	0.901692i	0.956380	+	0.137507i	0.602795	−	0.797896i	$-0.294053\pi$
$43$	6.27140	+	0.901692i	0.956380	+	0.137507i	0.353585	+	0.935402i	$0.384963\pi$
$44$	3.18184	−	2.04484i	0.479680	−	0.308271i
$45$	−0.792437	−	2.89345i	−0.118130	−	0.431330i
$46$	−2.12904	−	4.29735i	−0.313910	−	0.633609i
$47$			2.65181i			0.386807i	0.981119	+	0.193403i	$0.0619526\pi$
$47$			2.65181i			0.386807i	−0.981119	+	0.193403i	$0.938047\pi$
$48$	1.72644	+	0.139349i	0.249190	+	0.0201134i
$49$	−0.376217	+	2.61665i	−0.0537453	+	0.373806i
$50$	−0.909632	−	0.415415i	−0.128641	−	0.0587486i
$51$	1.06903	+	0.409898i	0.149694	+	0.0573972i
$52$	0.434534	+	0.951496i	0.0602590	+	0.131949i
$53$	−4.00210	−	4.61867i	−0.549731	−	0.634424i	0.411089	−	0.911595i	$-0.365148\pi$
$53$	−4.00210	−	4.61867i	−0.549731	−	0.634424i	−0.960820	+	0.277172i	$0.910603\pi$
$54$	1.24332	−	5.04521i	0.169195	−	0.686566i
$55$	−3.62905	−	1.06558i	−0.489341	−	0.143683i
$56$	−1.36683	+	1.57741i	−0.182651	+	0.210790i
$57$	1.21007	−	0.438775i	0.160278	−	0.0581172i
$58$	−6.03290	−	3.87711i	−0.792158	−	0.509089i
$59$	−6.87698	−	5.95894i	−0.895306	−	0.775787i	0.0799651	−	0.996798i	$-0.474519\pi$
$59$	−6.87698	−	5.95894i	−0.895306	−	0.775787i	−0.975271	+	0.221010i	$0.929065\pi$
$60$	−1.02526	−	1.39601i	−0.132361	−	0.180224i
$61$	11.8254	−	1.70023i	1.51408	−	0.217693i	0.665358	−	0.746524i	$-0.268279\pi$
$61$	11.8254	−	1.70023i	1.51408	−	0.217693i	0.848727	+	0.528832i	$0.177370\pi$
$62$	−4.28068	+	3.70923i	−0.543647	+	0.471073i
$63$	4.01330	+	4.80639i	0.505629	+	0.605549i
$64$	0.959493	−	0.281733i	0.119937	−	0.0352166i
$65$	0.434534	−	0.951496i	0.0538973	−	0.118019i
$66$	−4.58976	−	4.67445i	−0.564961	−	0.575385i
$67$	−1.86860	−	2.90760i	−0.228286	−	0.355219i	0.708148	−	0.706064i	$-0.249531\pi$
$67$	−1.86860	−	2.90760i	−0.228286	−	0.355219i	−0.936434	+	0.350845i	$0.885895\pi$
$68$	0.661021			0.0801605
$69$	−6.53639	+	5.12597i	−0.786889	+	0.617095i
$70$	2.08721			0.249469
$71$	−5.63612	−	8.76998i	−0.668885	−	1.04081i	−0.995418	−	0.0956194i	$-0.969517\pi$
$71$	−5.63612	−	8.76998i	−0.668885	−	1.04081i	0.326533	−	0.945186i	$-0.394120\pi$
$72$	−0.372591	−	2.97677i	−0.0439102	−	0.350816i
$73$	4.81545	−	10.5444i	0.563606	−	1.23412i	−0.386527	−	0.922278i	$-0.626325\pi$
$73$	4.81545	−	10.5444i	0.563606	−	1.23412i	0.950133	−	0.311846i	$-0.100947\pi$
$74$	−3.53595	+	1.03825i	−0.411046	+	0.120694i
$75$	−0.383629	+	1.68903i	−0.0442976	+	0.195033i
$76$	0.561631	−	0.486656i	0.0644235	−	0.0558233i
$77$	7.81401	−	1.12348i	0.890489	−	0.128033i
$78$	1.46026	−	1.07245i	0.165341	−	0.121431i
$79$	4.94711	+	4.28670i	0.556594	+	0.482291i	0.887141	−	0.461498i	$-0.152688\pi$
$79$	4.94711	+	4.28670i	0.556594	+	0.482291i	−0.330548	+	0.943789i	$0.607233\pi$
$80$	−0.841254	−	0.540641i	−0.0940550	−	0.0604455i
$81$	−8.99398	−	0.328989i	−0.999332	−	0.0365544i
$82$	−7.92562	+	9.14666i	−0.875239	+	1.01008i
$83$	1.44461	+	0.424176i	0.158567	+	0.0465594i	0.360052	−	0.932932i	$-0.382759\pi$
$83$	1.44461	+	0.424176i	0.158567	+	0.0465594i	−0.201486	+	0.979491i	$0.564577\pi$
$84$	3.15698	+	1.76149i	0.344454	+	0.192194i
$85$	−0.432877	−	0.499566i	−0.0469521	−	0.0541856i
$86$	−2.63203	−	5.76333i	−0.283819	−	0.621476i
$87$	−4.44692	+	11.5978i	−0.476760	+	1.24341i
$88$	−3.44046	−	1.57121i	−0.366754	−	0.167491i
$89$	1.15319	−	8.02060i	0.122238	−	0.850182i	−0.832774	−	0.553613i	$-0.813249\pi$
$89$	1.15319	−	8.02060i	0.122238	−	0.850182i	0.955012	−	0.296568i	$-0.0958423\pi$
$90$	−2.00570	+	2.23096i	−0.211419	+	0.235164i
$91$			2.18327i			0.228869i
$92$	−2.46411	+	4.11438i	−0.256901	+	0.428954i
$93$	7.79972	+	5.95081i	0.808793	+	0.617071i
$94$	2.23085	−	1.43368i	0.230094	−	0.147873i
$95$	−0.735580	−	0.105760i	−0.0754690	−	0.0108508i
$96$	−0.816154	−	1.52771i	−0.0832983	−	0.155921i
$97$	4.53637	+	15.4495i	0.460599	+	1.56866i	0.782981	+	0.622046i	$0.213698\pi$
$97$	4.53637	+	15.4495i	0.460599	+	1.56866i	−0.322382	+	0.946610i	$0.604484\pi$
$98$	2.40466	−	1.09817i	0.242907	−	0.110932i
$99$	−6.30799	+	9.43177i	−0.633977	+	0.947929i
$100$	0.142315	+	0.989821i	0.0142315	+	0.0989821i
$101$	0.826971	−	2.81640i	0.0822867	−	0.280243i	−0.908063	−	0.418833i	$-0.862439\pi$
$101$	0.826971	−	2.81640i	0.0822867	−	0.280243i	0.990350	+	0.138591i	$0.0442573\pi$
$102$	−0.233134	−	1.12093i	−0.0230837	−	0.110989i
$103$	1.09847	−	1.70926i	0.108236	−	0.168418i	−0.782910	−	0.622135i	$-0.786266\pi$
$103$	1.09847	−	1.70926i	0.108236	−	0.168418i	0.891146	+	0.453716i	$0.149902\pi$
$104$	0.565523	−	0.879970i	0.0554541	−	0.0862882i
$105$	−0.736135	−	3.53941i	−0.0718394	−	0.345411i
$106$	−1.72177	+	5.86383i	−0.167234	+	0.569545i
$107$	1.01467	+	7.05718i	0.0980917	+	0.682243i	0.978230	+	0.207525i	$0.0665408\pi$
$107$	1.01467	+	7.05718i	0.0980917	+	0.682243i	−0.880138	+	0.474718i	$0.842550\pi$
$108$	−4.91649	+	1.68170i	−0.473090	+	0.161822i
$109$	−3.21687	+	1.46910i	−0.308120	+	0.140714i	−0.563474	−	0.826134i	$-0.690535\pi$
$109$	−3.21687	+	1.46910i	−0.308120	+	0.140714i	0.255353	+	0.966848i	$0.417808\pi$
$110$	1.06558	+	3.62905i	0.101599	+	0.346016i
$111$	3.00771	+	5.62995i	0.285479	+	0.534371i
$112$	2.06597	+	0.297041i	0.195215	+	0.0280677i
$113$	−7.64121	+	4.91071i	−0.718824	+	0.461960i	−0.848228	−	0.529632i	$-0.822330\pi$
$113$	−7.64121	+	4.91071i	−0.718824	+	0.461960i	0.129403	+	0.991592i	$0.458694\pi$
$114$	−1.02333	−	0.780755i	−0.0958440	−	0.0731244i
$115$	4.72309	−	0.832098i	0.440431	−	0.0775935i
$116$			7.17132i			0.665840i
$117$	−2.33363	−	2.09801i	−0.215744	−	0.193961i
$118$	−1.29500	+	9.00693i	−0.119214	+	0.829155i
$119$	1.25501	+	0.573144i	0.115047	+	0.0525400i
$120$	−0.620098	+	1.61724i	−0.0566069	+	0.147634i
$121$	1.37314	+	3.00675i	0.124831	+	0.273341i
$122$	−7.82361	−	9.02893i	−0.708316	−	0.817441i
$123$	18.3058	+	10.2141i	1.65058	+	0.920970i
$124$	5.43471	+	1.59578i	0.488052	+	0.143305i
$125$	0.654861	−	0.755750i	0.0585725	−	0.0675963i
$126$	1.87364	−	5.97474i	0.166917	−	0.532272i
$127$	−9.09044	−	5.84207i	−0.806646	−	0.518400i	0.0711320	−	0.997467i	$-0.477339\pi$
$127$	−9.09044	−	5.84207i	−0.806646	−	0.518400i	−0.877779	+	0.479067i	$0.840975\pi$
$128$	−0.755750	−	0.654861i	−0.0667995	−	0.0578821i
$129$	−8.84496	+	6.49595i	−0.778755	+	0.571937i
$130$	−1.03538	+	0.148865i	−0.0908085	+	0.0130563i
$131$	−7.67770	+	6.65277i	−0.670804	+	0.581255i	−0.922239	−	0.386619i	$-0.873643\pi$
$131$	−7.67770	+	6.65277i	−0.670804	+	0.581255i	0.251436	+	0.967874i	$0.419097\pi$
$132$	−1.45098	+	6.38835i	−0.126292	+	0.556035i
$133$	1.48827	−	0.436995i	0.129049	−	0.0378923i
$134$	−1.43579	+	3.14393i	−0.124033	+	0.271594i
$135$	4.49056	+	2.61436i	0.386486	+	0.225008i
$136$	−0.357375	−	0.556086i	−0.0306446	−	0.0476840i
$137$	−4.02457			−0.343843			−0.171921	−	0.985111i	$-0.554997\pi$
$137$	−4.02457			−0.343843			−0.171921	+	0.985111i	$0.554997\pi$
$138$	7.84608	+	2.72745i	0.667903	+	0.232176i
$139$	−10.2689			−0.870997			−0.435499	−	0.900189i	$-0.643428\pi$
$139$	−10.2689			−0.870997			−0.435499	+	0.900189i	$0.643428\pi$
$140$	−1.12843	−	1.75587i	−0.0953698	−	0.148398i
$141$	−3.21797	−	3.27735i	−0.271002	−	0.276002i
$142$	−4.33066	+	9.48282i	−0.363421	+	0.795780i
$143$	−3.79607	+	1.11463i	−0.317443	+	0.0932097i
$144$	−2.30278	+	1.92281i	−0.191899	+	0.160234i
$145$	5.41972	−	4.69621i	0.450083	−	0.389999i
$146$	−11.4739	+	1.64970i	−0.949587	+	0.136530i
$147$	−2.71033	−	3.69042i	−0.223545	−	0.304381i
$148$	2.78511	+	2.41331i	0.228935	+	0.198373i
$149$	−3.89009	−	2.50001i	−0.318689	−	0.204809i	0.371510	−	0.928429i	$-0.378840\pi$
$149$	−3.89009	−	2.50001i	−0.318689	−	0.204809i	−0.690198	+	0.723620i	$0.742477\pi$
$150$	1.62831	−	0.590431i	0.132951	−	0.0482085i
$151$	1.80242	−	2.08010i	0.146679	−	0.169276i	−0.677656	−	0.735379i	$-0.737004\pi$
$151$	1.80242	−	2.08010i	0.146679	−	0.169276i	0.824335	+	0.566103i	$0.191550\pi$
$152$	−0.713042	−	0.209368i	−0.0578353	−	0.0169820i
$153$	−1.81861	+	0.790681i	−0.147026	+	0.0639228i
$154$	−5.16971	−	5.96616i	−0.416587	−	0.480767i
$155$	−2.35297	−	5.15229i	−0.188995	−	0.413842i
$156$	−1.69167	−	0.648637i	−0.135442	−	0.0519325i
$157$	3.60648	+	1.64702i	0.287829	+	0.131447i	0.554097	−	0.832452i	$-0.313064\pi$
$157$	3.60648	+	1.64702i	0.287829	+	0.131447i	−0.266269	+	0.963899i	$0.585791\pi$
$158$	0.931588	−	6.47934i	0.0741132	−	0.515469i
$159$	10.5509	+	0.851617i	0.836741	+	0.0675376i
$160$			1.00000i			0.0790569i
$161$	−8.24576	+	5.67501i	−0.649857	+	0.447254i
$162$	4.58575	+	7.74409i	0.360291	+	0.608433i
$163$	1.93503	−	1.24357i	0.151563	−	0.0974037i	−0.462661	−	0.886535i	$-0.653105\pi$
$163$	1.93503	−	1.24357i	0.151563	−	0.0974037i	0.614224	+	0.789131i	$0.289469\pi$
$164$	11.9796	+	1.72240i	0.935447	+	0.134497i
$165$	5.77818	−	3.08690i	0.449831	−	0.240315i
$166$	−0.424176	−	1.44461i	−0.0329225	−	0.112124i
$167$	17.6967	−	8.08182i	1.36941	−	0.625390i	0.411227	−	0.911533i	$-0.365100\pi$
$167$	17.6967	−	8.08182i	1.36941	−	0.625390i	0.958187	+	0.286143i	$0.0923732\pi$
$168$	−0.224931	−	3.60815i	−0.0173538	−	0.278375i
$169$	1.69438	+	11.7847i	0.130337	+	0.906512i
$170$	−0.186231	+	0.634245i	−0.0142833	+	0.0486444i
$171$	−0.963057	+	2.01070i	−0.0736468	+	0.153762i
$172$	−3.42544	+	5.33009i	−0.261188	+	0.406416i
$173$	−8.05290	+	12.5305i	−0.612250	+	0.952680i	0.387278	+	0.921963i	$0.373415\pi$
$173$	−8.05290	+	12.5305i	−0.612250	+	0.952680i	−0.999528	+	0.0307170i	$0.990221\pi$
$174$	12.1609	−	2.52924i	0.921912	−	0.191741i
$175$	−0.588035	+	2.00266i	−0.0444513	+	0.151387i
$176$	0.538271	+	3.74376i	0.0405737	+	0.282196i
$177$	15.7303	−	0.980626i	1.18236	−	0.0737084i
$178$	−7.37082	+	3.36614i	−0.552466	+	0.252303i
$179$	5.78159	+	19.6903i	0.432136	+	1.47172i	0.831809	+	0.555062i	$0.187306\pi$
$179$	5.78159	+	19.6903i	0.432136	+	1.47172i	−0.399673	+	0.916658i	$0.630876\pi$
$180$	2.96116	+	0.481156i	0.220712	+	0.0358632i
$181$	23.9345	+	3.44127i	1.77904	+	0.255787i	0.951944	−	0.306274i	$-0.0990823\pi$
$181$	23.9345	+	3.44127i	1.77904	+	0.255787i	0.827096	+	0.562061i	$0.189991\pi$
$182$	1.83668	−	1.18036i	0.136144	−	0.0874945i
$183$	−12.5516	+	16.4514i	−0.927843	+	1.21612i
$184$	4.79344	−	0.151462i	0.353377	−	0.0111659i
$185$		−	3.68523i		−	0.270943i
$186$	0.789296	−	9.77880i	0.0578740	−	0.717016i
$187$	−0.355808	+	2.47470i	−0.0260193	+	0.180968i
$188$	−2.41217	−	1.10160i	−0.175926	−	0.0803427i
$189$	−10.7925	−	1.07002i	−0.785042	−	0.0778328i
$190$	0.308713	+	0.675988i	0.0223964	+	0.0490413i
$191$	−4.73421	−	5.46356i	−0.342555	−	0.395330i	0.558165	−	0.829730i	$-0.311506\pi$
$191$	−4.73421	−	5.46356i	−0.342555	−	0.395330i	−0.900720	+	0.434401i	$0.856960\pi$
$192$	−0.843944	+	1.51253i	−0.0609064	+	0.109158i
$193$	−23.1077	−	6.78503i	−1.66333	−	0.488397i	−0.691163	−	0.722698i	$-0.742902\pi$
$193$	−23.1077	−	6.78503i	−1.66333	−	0.488397i	−0.972164	+	0.234301i	$0.924720\pi$
$194$	10.5444	−	12.1688i	0.757041	−	0.873672i
$195$	0.617604	+	1.70325i	0.0442276	+	0.121972i
$196$	−2.22390	−	1.42921i	−0.158850	−	0.102087i
$197$	8.50246	+	7.36742i	0.605775	+	0.524907i	0.902855	−	0.429946i	$-0.141467\pi$
$197$	8.50246	+	7.36742i	0.605775	+	0.524907i	−0.297080	+	0.954853i	$0.596013\pi$
$198$	11.3449	+	0.207422i	0.806245	+	0.0147408i
$199$	−1.92141	+	0.276256i	−0.136205	+	0.0195833i	−0.210080	−	0.977684i	$-0.567372\pi$
$199$	−1.92141	+	0.276256i	−0.136205	+	0.0195833i	0.0738752	+	0.997267i	$0.476463\pi$
$200$	0.755750	−	0.654861i	0.0534396	−	0.0463056i
$201$	5.83775	+	1.32592i	0.411763	+	0.0935234i
$202$	−2.81640	+	0.826971i	−0.198161	+	0.0581855i
$203$	−6.21795	+	13.6154i	−0.436415	+	0.955615i
$204$	−0.816948	+	0.802148i	−0.0571978	+	0.0561616i
$205$	−6.54325	−	10.1815i	−0.457000	−	0.711106i
$206$	−2.03180			−0.141562
$207$	1.85789	−	14.2670i	0.129132	−	0.991627i
$208$	−1.04602			−0.0725286
$209$	1.51961	+	2.36456i	0.105114	+	0.163560i
$210$	−2.57956	+	2.53283i	−0.178006	+	0.174782i
$211$	0.862032	−	1.88759i	0.0593448	−	0.129947i	−0.877636	−	0.479327i	$-0.840881\pi$
$211$	0.862032	−	1.88759i	0.0593448	−	0.129947i	0.936981	+	0.349380i	$0.113608\pi$
$212$	5.86383	−	1.72177i	0.402729	−	0.118252i
$213$	17.6080	+	3.99929i	1.20648	+	0.274027i
$214$	5.38830	−	4.66899i	0.368337	−	0.319166i
$215$	6.27140	−	0.901692i	0.427706	−	0.0614949i
$216$	4.07279	+	3.22682i	0.277118	+	0.219557i
$217$	8.93468	+	7.74194i	0.606526	+	0.525557i
$218$	2.97505	+	1.91195i	0.201496	+	0.129494i
$219$	6.84421	+	18.8752i	0.462489	+	1.27547i
$220$	2.47685	−	2.85844i	0.166989	−	0.192716i
$221$	−0.663435	−	0.194802i	−0.0446274	−	0.0131038i
$222$	3.11013	−	5.57403i	0.208738	−	0.374104i
$223$	−5.89769	−	6.80630i	−0.394939	−	0.455784i	0.523102	−	0.852270i	$-0.324775\pi$
$223$	−5.89769	−	6.80630i	−0.394939	−	0.455784i	−0.918041	+	0.396487i	$0.870229\pi$
$224$	−0.867059	−	1.89859i	−0.0579328	−	0.126855i
$225$	−1.57552	−	2.55299i	−0.105034	−	0.170199i
$226$	8.26230	+	3.77327i	0.549600	+	0.250994i
$227$	2.43304	−	16.9222i	0.161487	−	1.12317i	−0.734346	−	0.678775i	$-0.762511\pi$
$227$	2.43304	−	16.9222i	0.161487	−	1.12317i	0.895833	−	0.444390i	$-0.146580\pi$
$228$	−0.103557	+	1.28299i	−0.00685821	+	0.0849682i
$229$		−	12.0696i		−	0.797582i	−0.917042	−	0.398791i	$-0.869430\pi$
$229$		−	12.0696i		−	0.797582i	0.917042	−	0.398791i	$-0.130570\pi$
$230$	−3.25350	−	3.52345i	−0.214530	−	0.232330i
$231$	−8.29390	+	10.8708i	−0.545698	+	0.715246i
$232$	6.03290	−	3.87711i	0.396079	−	0.254545i
$233$	−20.3546	−	2.92655i	−1.33347	−	0.191725i	−0.561552	−	0.827441i	$-0.689796\pi$
$233$	−20.3546	−	2.92655i	−1.33347	−	0.191725i	−0.771923	+	0.635717i	$0.780705\pi$
$234$	−0.503300	+	3.09744i	−0.0329017	+	0.202486i
$235$	0.747102	+	2.54440i	0.0487356	+	0.165978i
$236$	8.27724	−	3.78009i	0.538802	−	0.246063i
$237$	−11.3160	+	0.705436i	−0.735052	+	0.0458230i
$238$	−0.196350	−	1.36565i	−0.0127275	−	0.0885217i
$239$	−1.90983	+	6.50428i	−0.123537	+	0.420727i	−0.997917	−	0.0645146i	$-0.979450\pi$
$239$	−1.90983	+	6.50428i	−0.123537	+	0.420727i	0.874380	+	0.485241i	$0.161268\pi$
$240$	1.69576	−	0.352688i	0.109461	−	0.0227659i
$241$	16.3601	−	25.4568i	1.05385	−	1.63982i	0.338626	−	0.940921i	$-0.390038\pi$
$241$	16.3601	−	25.4568i	1.05385	−	1.63982i	0.715221	−	0.698898i	$-0.246326\pi$
$242$	1.78706	−	2.78073i	0.114877	−	0.178752i
$243$	11.5148	−	10.5076i	0.738674	−	0.674063i
$244$	−3.36585	+	11.4630i	−0.215477	+	0.733846i
$245$	0.376217	+	2.61665i	0.0240356	+	0.167171i
$246$	−1.30427	−	20.9220i	−0.0831573	−	1.33394i
$247$	−0.707099	+	0.322921i	−0.0449916	+	0.0205470i
$248$	−1.59578	−	5.43471i	−0.101332	−	0.345105i
$249$	−2.30012	+	1.22880i	−0.145764	+	0.0778721i
$250$	−0.989821	−	0.142315i	−0.0626018	−	0.00900078i
$251$	12.1385	−	7.80094i	0.766176	−	0.492391i	−0.0982440	−	0.995162i	$-0.531323\pi$
$251$	12.1385	−	7.80094i	0.766176	−	0.492391i	0.864420	+	0.502771i	$0.167686\pi$
$252$	−6.03924	+	1.65398i	−0.380436	+	0.104191i
$253$	−14.0769	−	11.4397i	−0.885007	−	0.719207i
$254$			10.8058i			0.678018i
$255$	1.14121	+	0.0921128i	0.0714654	+	0.00576833i
$256$	−0.142315	+	0.989821i	−0.00889468	+	0.0618638i
$257$	−10.7202	−	4.89577i	−0.668710	−	0.305390i	0.0519788	−	0.998648i	$-0.483447\pi$
$257$	−10.7202	−	4.89577i	−0.668710	−	0.305390i	−0.720689	+	0.693258i	$0.756174\pi$
$258$	10.2467	+	3.92888i	0.637931	+	0.244601i
$259$	3.19531	+	6.99675i	0.198547	+	0.434757i
$260$	0.684999	+	0.790531i	0.0424819	+	0.0490267i
$261$	−8.57799	−	19.7299i	−0.530964	−	1.22125i
$262$	9.74754	+	2.86214i	0.602205	+	0.176823i
$263$	−11.5553	+	13.3355i	−0.712528	+	0.822301i	−0.990388	−	0.138320i	$-0.955830\pi$
$263$	−11.5553	+	13.3355i	−0.712528	+	0.822301i	0.277859	+	0.960622i	$0.410375\pi$
$264$	6.15868	−	2.23316i	0.379041	−	0.137442i
$265$	−5.14122	−	3.30406i	−0.315823	−	0.202967i
$266$	−1.17224	−	1.01575i	−0.0718748	−	0.0622799i
$267$	8.30778	+	11.3120i	0.508428	+	0.692281i
$268$	3.42109	−	0.491878i	0.208976	−	0.0300462i
$269$	−12.4490	+	10.7872i	−0.759032	+	0.657705i	−0.945819	−	0.324696i	$-0.894738\pi$
$269$	−12.4490	+	10.7872i	−0.759032	+	0.657705i	0.186787	+	0.982400i	$0.440193\pi$
$270$	−0.228443	−	5.19113i	−0.0139026	−	0.315922i
$271$	−7.61968	+	2.23734i	−0.462863	+	0.135909i	−0.504846	−	0.863210i	$-0.668451\pi$
$271$	−7.61968	+	2.23734i	−0.462863	+	0.135909i	0.0419830	+	0.999118i	$0.486632\pi$
$272$	−0.274598	+	0.601286i	−0.0166499	+	0.0364583i
$273$	−2.64940	−	2.69828i	−0.160349	−	0.163307i
$274$	2.17585	+	3.38569i	0.131448	+	0.204537i
$275$	−3.78226			−0.228079
$276$	−1.94743	−	8.07512i	−0.117222	−	0.486065i
$277$	−27.5752			−1.65683			−0.828416	−	0.560113i	$-0.810758\pi$
$277$	−27.5752			−1.65683			−0.828416	+	0.560113i	$0.810758\pi$
$278$	5.55179	+	8.63875i	0.332974	+	0.518118i
$279$	−16.8609	+	2.11041i	−1.00944	+	0.126347i
$280$	−0.867059	+	1.89859i	−0.0518167	+	0.113463i
$281$	−0.389715	+	0.114431i	−0.0232484	+	0.00682636i	−0.293336	−	0.956009i	$-0.594765\pi$
$281$	−0.389715	+	0.114431i	−0.0232484	+	0.00682636i	0.270088	+	0.962836i	$0.412947\pi$
$282$	−1.01731	+	4.47900i	−0.0605800	+	0.266721i
$283$	−15.6551	+	13.5652i	−0.930598	+	0.806368i	−0.981328	−	0.192344i	$-0.938391\pi$
$283$	−15.6551	+	13.5652i	−0.930598	+	0.806368i	0.0507290	+	0.998712i	$0.483846\pi$
$284$	10.3188	−	1.48362i	0.612307	−	0.0880365i
$285$	1.03744	−	0.761918i	0.0614524	−	0.0451321i
$286$	2.98999	+	2.59084i	0.176802	+	0.153200i
$287$	21.2509	+	13.6571i	1.25440	+	0.806155i
$288$	2.86255	+	0.897676i	0.168677	+	0.0528960i
$289$	10.8465	−	12.5175i	0.638029	−	0.736325i
$290$	−6.88083	−	2.02039i	−0.404056	−	0.118642i
$291$	−24.3544	−	13.5889i	−1.42768	−	0.796597i
$292$	7.59108	+	8.76057i	0.444234	+	0.512674i
$293$	−9.23610	−	20.2242i	−0.539579	−	1.18151i	−0.961481	−	0.274871i	$-0.911365\pi$
$293$	−9.23610	−	20.2242i	−0.539579	−	1.18151i	0.421903	−	0.906641i	$-0.361362\pi$
$294$	−1.63926	+	4.27527i	−0.0956037	+	0.249339i
$295$	−8.27724	−	3.78009i	−0.481919	−	0.220085i
$296$	0.524462	−	3.64772i	0.0304838	−	0.212019i
$297$	−3.64947	−	19.3114i	−0.211764	−	1.12056i
$298$			4.62416i			0.267870i
$299$	3.68561	−	3.40324i	0.213144	−	0.196814i
$300$	−1.37703	−	1.05061i	−0.0795030	−	0.0606570i
$301$	−11.1250	+	7.14962i	−0.641236	+	0.412097i
$302$	−2.72435	−	0.391703i	−0.156769	−	0.0225400i
$303$	2.39566	+	4.48429i	0.137627	+	0.257616i
$304$	0.209368	+	0.713042i	0.0120081	+	0.0408958i
$305$	10.8674	−	4.96296i	0.622263	−	0.284178i
$306$	1.64838	+	1.10244i	0.0942317	+	0.0630224i
$307$	0.868901	+	6.04334i	0.0495908	+	0.344912i	0.999478	+	0.0323177i	$0.0102888\pi$
$307$	0.868901	+	6.04334i	0.0495908	+	0.344912i	−0.949887	+	0.312594i	$0.898802\pi$
$308$	−2.22410	+	7.57459i	−0.126730	+	0.431602i
$309$	0.716593	+	3.44545i	0.0407655	+	0.196005i
$310$	−3.06227	+	4.76499i	−0.173925	+	0.270633i
$311$	7.09806	−	11.0448i	0.402494	−	0.626293i	−0.579552	−	0.814935i	$-0.696772\pi$
$311$	7.09806	−	11.0448i	0.402494	−	0.626293i	0.982046	+	0.188643i	$0.0604088\pi$
$312$	0.368920	+	1.77381i	0.0208860	+	0.100422i
$313$	−2.44364	+	8.32229i	−0.138123	+	0.470404i	−0.999280	−	0.0379351i	$-0.987922\pi$
$313$	−2.44364	+	8.32229i	−0.138123	+	0.470404i	0.861157	+	0.508339i	$0.169740\pi$
$314$	−0.564246	−	3.92441i	−0.0318422	−	0.221467i
$315$	5.20486	+	3.48102i	0.293260	+	0.196133i
$316$	−5.95442	+	2.71929i	−0.334962	+	0.152972i
$317$	8.55649	+	29.1407i	0.480580	+	1.63671i	0.741214	+	0.671269i	$0.234250\pi$
$317$	8.55649	+	29.1407i	0.480580	+	1.63671i	−0.260634	+	0.965438i	$0.583931\pi$
$318$	−4.98783	−	9.33641i	−0.279703	−	0.523560i
$319$	−26.8477	−	3.86011i	−1.50318	−	0.216125i
$320$	0.841254	−	0.540641i	0.0470275	−	0.0302227i
$321$	−9.81789	−	7.49058i	−0.547981	−	0.418084i
$322$	9.23212	+	3.86863i	0.514486	+	0.215590i
$323$			0.491234i			0.0273330i
$324$	4.03550	−	8.04455i	0.224194	−	0.446919i
$325$	0.148865	−	1.03538i	0.00825752	−	0.0574323i
$326$	−2.09231	−	0.955526i	−0.115882	−	0.0529217i
$327$	2.19295	−	5.71931i	0.121270	−	0.316278i
$328$	−5.02767	−	11.0091i	−0.277607	−	0.607874i
$329$	−3.62458	−	4.18299i	−0.199830	−	0.230616i
$330$	−5.72079	−	3.19201i	−0.314919	−	0.175715i
$331$	−0.868148	−	0.254911i	−0.0477177	−	0.0140112i	0.257787	−	0.966202i	$-0.417007\pi$
$331$	−0.868148	−	0.254911i	−0.0477177	−	0.0140112i	−0.305504	+	0.952191i	$0.598825\pi$
$332$	−0.985958	+	1.13786i	−0.0541115	+	0.0624480i
$333$	−10.5491	−	3.30814i	−0.578089	−	0.181285i
$334$	−16.3664	−	10.5181i	−0.895531	−	0.575523i
$335$	−2.61207	−	2.26337i	−0.142713	−	0.123661i
$336$	−2.91376	+	2.13994i	−0.158959	+	0.116743i
$337$	26.5750	−	3.82090i	1.44763	−	0.208138i	0.626742	−	0.779227i	$-0.284388\pi$
$337$	26.5750	−	3.82090i	1.44763	−	0.208138i	0.820888	+	0.571089i	$0.193479\pi$
$338$	8.99783	−	7.79666i	0.489417	−	0.424083i
$339$	3.48454	−	15.3417i	0.189254	−	0.833246i
$340$	0.634245	−	0.186231i	0.0343968	−	0.0100998i
$341$	−8.89955	+	19.4873i	−0.481937	+	1.05530i
$342$	2.21217	−	0.276889i	0.119621	−	0.0149724i
$343$	−10.8821	−	16.9329i	−0.587577	−	0.914288i
$344$	6.33590			0.341609
$345$	−4.82747	+	6.75985i	−0.259902	+	0.363938i
$346$	14.8951			0.800765
$347$	−2.61529	−	4.06947i	−0.140396	−	0.218461i	0.763934	−	0.645295i	$-0.223265\pi$
$347$	−2.61529	−	4.06947i	−0.140396	−	0.218461i	−0.904330	+	0.426834i	$0.859629\pi$
$348$	−8.70239	−	8.86295i	−0.466497	−	0.475104i
$349$	−8.19723	+	17.9494i	−0.438788	+	0.960811i	0.553031	+	0.833160i	$0.313471\pi$
$349$	−8.19723	+	17.9494i	−0.438788	+	0.960811i	−0.991819	+	0.127651i	$0.959256\pi$
$350$	2.00266	−	0.588035i	0.107047	−	0.0314318i
$351$	5.43004	−	0.238956i	0.289834	−	0.0127545i
$352$	2.85844	−	2.47685i	0.152355	−	0.132017i
$353$	31.6214	−	4.54647i	1.68304	−	0.241984i	0.766589	−	0.642139i	$-0.221953\pi$
$353$	31.6214	−	4.54647i	1.68304	−	0.241984i	0.916448	+	0.400155i	$0.131044\pi$
$354$	−9.32942	−	12.7030i	−0.495853	−	0.675159i
$355$	−7.87861	−	6.82685i	−0.418153	−	0.362332i
$356$	6.81674	+	4.38085i	0.361287	+	0.232185i
$357$	−2.24656	+	0.814611i	−0.118901	+	0.0431138i
$358$	13.4388	−	15.5091i	0.710260	−	0.819684i
$359$	−3.05208	−	0.896172i	−0.161083	−	0.0472981i	0.200197	−	0.979756i	$-0.435842\pi$
$359$	−3.05208	−	0.896172i	−0.161083	−	0.0472981i	−0.361280	+	0.932458i	$0.617660\pi$
$360$	−1.19615	−	2.75122i	−0.0630427	−	0.145002i
$361$	−12.0807	−	13.9419i	−0.635826	−	0.733783i
$362$	−10.0450	−	21.9955i	−0.527954	−	1.15606i
$363$	−5.34573	−	2.04971i	−0.280578	−	0.107582i
$364$	−1.98597	−	0.906963i	−0.104093	−	0.0475378i
$365$	1.64970	−	11.4739i	0.0863492	−	0.600572i
$366$	20.6257	+	1.66481i	1.07812	+	0.0870208i
$367$		−	29.8589i		−	1.55862i	−0.626637	−	0.779311i	$-0.715569\pi$
$367$		−	29.8589i		−	1.55862i	0.626637	−	0.779311i	$-0.284431\pi$
$368$	−2.71895	−	3.95061i	−0.141735	−	0.205940i
$369$	−35.0187	+	9.59068i	−1.82300	+	0.499271i
$370$	−3.10021	+	1.99238i	−0.161172	+	0.103579i
$371$	12.6259	+	1.81533i	0.655504	+	0.0942473i
$372$	−8.65317	+	4.62282i	−0.448646	+	0.239682i
$373$	10.3528	+	35.2584i	0.536047	+	1.82561i	0.563682	+	0.825992i	$0.309384\pi$
$373$	10.3528	+	35.2584i	0.536047	+	1.82561i	−0.0276350	+	0.999618i	$0.508798\pi$
$374$	2.27422	−	1.03860i	0.117597	−	0.0537047i
$375$	0.107766	+	1.72869i	0.00556504	+	0.0892694i
$376$	0.377393	+	2.62482i	0.0194625	+	0.135365i
$377$	2.11338	−	7.19750i	0.108845	−	0.370690i
$378$	4.93473	+	9.65777i	0.253815	+	0.496742i
$379$	3.42098	−	5.32315i	0.175724	−	0.273432i	−0.742208	−	0.670170i	$-0.766221\pi$
$379$	3.42098	−	5.32315i	0.175724	−	0.273432i	0.917932	+	0.396738i	$0.129858\pi$
$380$	0.401774	−	0.625173i	0.0206106	−	0.0320707i
$381$	18.3241	−	3.81109i	0.938773	−	0.195248i
$382$	−2.03674	+	6.93649i	−0.104209	+	0.354902i
$383$	−1.05071	−	7.30787i	−0.0536889	−	0.373415i	−0.998897	−	0.0469473i	$-0.985051\pi$
$383$	−1.05071	−	7.30787i	−0.0536889	−	0.373415i	0.945208	−	0.326468i	$-0.105858\pi$
$384$	1.72869	−	0.107766i	0.0882171	−	0.00549943i
$385$	7.18096	−	3.27944i	0.365976	−	0.167136i
$386$	6.78503	+	23.1077i	0.345349	+	1.17615i
$387$	3.04855	−	18.7616i	0.154967	−	0.953707i
$388$	−15.9378	−	2.29151i	−0.809119	−	0.116334i
$389$	12.8737	−	8.27346i	0.652725	−	0.419481i	−0.171936	−	0.985108i	$-0.555002\pi$
$389$	12.8737	−	8.27346i	0.652725	−	0.419481i	0.824661	+	0.565627i	$0.191366\pi$
$390$	1.09896	−	1.44041i	0.0556481	−	0.0729379i
$391$	−0.988751	−	3.01201i	−0.0500033	−	0.152324i
$392$			2.64355i			0.133520i
$393$	1.41566	−	17.5390i	0.0714105	−	0.884724i
$394$	1.60109	−	11.1359i	0.0806620	−	0.561016i
$395$	5.95442	+	2.71929i	0.299599	+	0.136822i
$396$	−5.95901	−	9.65605i	−0.299451	−	0.485235i
$397$	−0.579325	−	1.26854i	−0.0290755	−	0.0636664i	0.894537	−	0.446994i	$-0.147505\pi$
$397$	−0.579325	−	1.26854i	−0.0290755	−	0.0636664i	−0.923613	+	0.383327i	$0.874778\pi$
$398$	1.27119	+	1.46703i	0.0637191	+	0.0735357i
$399$	−1.30904	+	2.34609i	−0.0655340	+	0.117451i
$400$	−0.959493	−	0.281733i	−0.0479746	−	0.0140866i
$401$	−7.67746	+	8.86026i	−0.383394	+	0.442460i	−0.914341	−	0.404945i	$-0.867291\pi$
$401$	−7.67746	+	8.86026i	−0.383394	+	0.442460i	0.530947	+	0.847405i	$0.321836\pi$
$402$	−2.04069	−	5.62787i	−0.101780	−	0.280693i
$403$	−4.98429	−	3.20321i	−0.248285	−	0.159563i
$404$	2.21835	+	1.92222i	0.110367	+	0.0956338i
$405$	−8.72235	+	2.21824i	−0.433417	+	0.110225i
$406$	14.8157	−	2.13018i	0.735291	−	0.105719i
$407$	−10.5340	+	9.12776i	−0.522151	+	0.452446i
$408$	1.11649	+	0.253586i	0.0552743	+	0.0125544i
$409$	30.8241	−	9.05077i	1.52415	−	0.447532i	0.590898	−	0.806746i	$-0.298774\pi$
$409$	30.8241	−	9.05077i	1.52415	−	0.447532i	0.933255	+	0.359214i	$0.116955\pi$
$410$	−5.02767	+	11.0091i	−0.248299	+	0.543699i
$411$	4.97392	−	4.88382i	0.245346	−	0.240901i
$412$	1.09847	+	1.70926i	0.0541179	+	0.0842092i
$413$	18.9927			0.934568
$414$	−13.0066	+	6.15039i	−0.639242	+	0.302275i
$415$	1.50560			0.0739070
$416$	0.565523	+	0.879970i	0.0277270	+	0.0431441i
$417$	12.6912	−	12.4613i	0.621492	−	0.610233i
$418$	1.16763	−	2.55676i	0.0571108	−	0.125055i
$419$	21.0467	−	6.17988i	1.02820	−	0.301907i	0.276221	−	0.961094i	$-0.410918\pi$
$419$	21.0467	−	6.17988i	1.02820	−	0.301907i	0.751979	+	0.659187i	$0.229100\pi$
$420$	3.52537	+	0.800713i	0.172020	+	0.0390708i
$421$	14.7437	−	12.7755i	0.718563	−	0.622638i	−0.216846	−	0.976206i	$-0.569577\pi$
$421$	14.7437	−	12.7755i	0.718563	−	0.622638i	0.935409	+	0.353568i	$0.115032\pi$
$422$	−2.05399	+	0.295319i	−0.0999867	+	0.0143759i
$423$	7.95411	+	0.145427i	0.386742	+	0.00707092i
$424$	−4.61867	−	4.00210i	−0.224303	−	0.194359i
$425$	−0.556086	−	0.357375i	−0.0269741	−	0.0173352i
$426$	−6.15518	−	16.9750i	−0.298219	−	0.822439i
$427$	−16.3295	+	18.8453i	−0.790241	+	0.911987i
$428$	−6.84094	−	2.00868i	−0.330669	−	0.0970933i
$429$	3.33892	−	5.98408i	0.161204	−	0.288914i
$430$	−4.14913	−	4.78835i	−0.200089	−	0.230915i
$431$	6.91079	+	15.1325i	0.332881	+	0.728907i	0.999869	−	0.0161606i	$-0.00514429\pi$
$431$	6.91079	+	15.1325i	0.332881	+	0.728907i	−0.666989	+	0.745068i	$0.732417\pi$
$432$	0.512657	−	5.17080i	0.0246652	−	0.248780i
$433$	−25.9047	−	11.8303i	−1.24490	−	0.568527i	−0.319525	−	0.947578i	$-0.603523\pi$
$433$	−25.9047	−	11.8303i	−1.24490	−	0.568527i	−0.925376	+	0.379051i	$0.876251\pi$
$434$	1.68249	−	11.7019i	0.0807619	−	0.561711i
$435$	−0.999319	+	12.3808i	−0.0479137	+	0.593615i
$436$		−	3.53645i		−	0.169365i
$437$	−3.05758	−	1.83119i	−0.146264	−	0.0875977i
$438$	12.1786	−	15.9624i	0.581914	−	0.762714i
$439$	−2.76299	+	1.77567i	−0.131870	+	0.0847479i	−0.604913	−	0.796292i	$-0.706792\pi$
$439$	−2.76299	+	1.77567i	−0.131870	+	0.0847479i	0.473043	+	0.881040i	$0.343156\pi$
$440$	−3.74376	−	0.538271i	−0.178477	−	0.0256611i
$441$	7.82799	+	1.27196i	0.372762	+	0.0605696i
$442$	0.194802	+	0.663435i	0.00926578	+	0.0315564i
$443$	34.1311	−	15.5871i	1.62162	−	0.740567i	0.622500	−	0.782620i	$-0.286117\pi$
$443$	34.1311	−	15.5871i	1.62162	−	0.740567i	0.999115	+	0.0420525i	$0.0133897\pi$
$444$	−6.37063	+	0.397144i	−0.302337	+	0.0188476i
$445$	−1.15319	−	8.02060i	−0.0546664	−	0.380213i
$446$	−2.53729	+	8.64122i	−0.120144	+	0.409174i
$447$	7.84148	−	1.63089i	0.370889	−	0.0771384i
$448$	−1.12843	+	1.75587i	−0.0533134	+	0.0829572i
$449$	−15.5718	+	24.2302i	−0.734880	+	1.14349i	0.249660	+	0.968334i	$0.419681\pi$
$449$	−15.5718	+	24.2302i	−0.734880	+	1.14349i	−0.984540	+	0.175161i	$0.943955\pi$
$450$	−1.29592	+	2.70566i	−0.0610903	+	0.127546i
$451$	−12.8965	+	43.9215i	−0.607273	+	2.06818i
$452$	−1.29266	−	8.99067i	−0.0608018	−	0.422886i
$453$	0.296613	+	4.75801i	0.0139361	+	0.223551i
$454$	−15.5513	+	7.10202i	−0.729857	+	0.333314i
$455$	0.615098	+	2.09483i	0.0288362	+	0.0982072i
$456$	1.13531	−	0.606520i	0.0531657	−	0.0284029i
$457$	16.3187	+	2.34628i	0.763357	+	0.109754i	0.512987	−	0.858396i	$-0.328539\pi$
$457$	16.3187	+	2.34628i	0.763357	+	0.109754i	0.250370	+	0.968150i	$0.419448\pi$
$458$	−10.1536	+	6.52532i	−0.474446	+	0.304908i
$459$	1.28811	−	3.18408i	0.0601240	−	0.148620i
$460$	−1.20514	+	4.64194i	−0.0561900	+	0.216432i
$461$			10.4166i			0.485148i	0.970133	+	0.242574i	$0.0779917\pi$
$461$			10.4166i			0.485148i	−0.970133	+	0.242574i	$0.922008\pi$
$462$	13.6291	+	1.10007i	0.634084	+	0.0511801i
$463$	−0.558795	+	3.88651i	−0.0259694	+	0.180621i	−0.998678	−	0.0514106i	$-0.983628\pi$
$463$	−0.558795	+	3.88651i	−0.0259694	+	0.180621i	0.972708	+	0.232032i	$0.0745374\pi$
$464$	−6.52326	−	2.97907i	−0.302835	−	0.138300i
$465$	9.16032	+	3.51233i	0.424799	+	0.162880i
$466$	8.54256	+	18.7056i	0.395727	+	0.866520i
$467$	15.7175	+	18.1389i	0.727318	+	0.839369i	0.992167	−	0.124920i	$-0.0398676\pi$
$467$	15.7175	+	18.1389i	0.727318	+	0.839369i	−0.264849	+	0.964290i	$0.585322\pi$
$468$	2.87784	−	1.25120i	0.133028	−	0.0578368i
$469$	6.92174	+	2.03241i	0.319616	+	0.0938478i
$470$	1.73657	−	2.00411i	0.0801020	−	0.0924426i
$471$	−6.45587	+	2.34092i	−0.297471	+	0.107864i
$472$	−7.65503	−	4.91959i	−0.352351	−	0.226442i
$473$	−18.1108	−	15.6931i	−0.832734	−	0.721568i
$474$	6.71133	+	9.13822i	0.308262	+	0.419732i
$475$	−0.735580	+	0.105760i	−0.0337507	+	0.00485262i
$476$	−1.04270	+	0.903504i	−0.0477921	+	0.0414121i
$477$	−14.0732	+	11.7510i	−0.644367	+	0.538042i
$478$	6.50428	−	1.90983i	0.297499	−	0.0873535i
$479$	−6.99214	+	15.3107i	−0.319479	+	0.699562i	−0.999432	−	0.0336938i	$-0.989273\pi$
$479$	−6.99214	+	15.3107i	−0.319479	+	0.699562i	0.679953	+	0.733256i	$0.262000\pi$
$480$	−1.21350	−	1.23589i	−0.0553884	−	0.0564103i
$481$	−2.08408	−	3.24289i	−0.0950258	−	0.147863i
$482$	−30.2606			−1.37833
$483$	3.30421	−	17.0199i	0.150347	−	0.774432i
$484$	−3.30546			−0.150248
$485$	8.70523	+	13.5456i	0.395284	+	0.615074i
$486$	−15.0649	−	4.00602i	−0.683359	−	0.181717i
$487$	14.6989	−	32.1861i	0.666071	−	1.45849i	−0.210684	−	0.977554i	$-0.567569\pi$
$487$	14.6989	−	32.1861i	0.666071	−	1.45849i	0.876755	−	0.480937i	$-0.159703\pi$
$488$	11.4630	−	3.36585i	0.518908	−	0.152365i
$489$	−0.882412	+	3.88507i	−0.0399040	+	0.175689i
$490$	1.99786	−	1.73116i	0.0902543	−	0.0782058i
$491$	30.2997	−	4.35643i	1.36740	−	0.196603i	0.580793	−	0.814051i	$-0.302743\pi$
$491$	30.2997	−	4.35643i	1.36740	−	0.196603i	0.786611	+	0.617448i	$0.211834\pi$
$492$	−16.8955	+	12.4085i	−0.761710	+	0.559418i
$493$	−3.58255	−	3.10430i	−0.161350	−	0.139810i
$494$	0.653945	+	0.420265i	0.0294224	+	0.0189086i
$495$	−3.39524	+	10.8269i	−0.152605	+	0.486632i
$496$	−3.70923	+	4.28068i	−0.166549	+	0.192208i
$497$	20.8776	+	6.13020i	0.936486	+	0.274977i
$498$	2.27727	+	1.27064i	0.102047	+	0.0569388i
$499$	1.66760	+	1.92452i	0.0746522	+	0.0861532i	0.791847	−	0.610720i	$-0.209120\pi$
$499$	1.66760	+	1.92452i	0.0746522	+	0.0861532i	−0.717195	+	0.696873i	$0.754574\pi$
$500$	0.415415	+	0.909632i	0.0185779	+	0.0406800i
$501$	−12.0639	+	31.4632i	−0.538975	+	1.40567i
$502$	−13.1251	−	5.99405i	−0.585804	−	0.267528i
$503$	−4.12449	+	28.6864i	−0.183902	+	1.27907i	0.663526	+	0.748154i	$0.269059\pi$
$503$	−4.12449	+	28.6864i	−0.183902	+	1.27907i	−0.847427	+	0.530911i	$0.821850\pi$
$504$	4.65648	+	4.18632i	0.207416	+	0.186473i
$505$		−	2.93530i		−	0.130619i
$506$	−2.01313	+	18.0270i	−0.0894947	+	0.801398i
$507$	−16.3947	−	12.5084i	−0.728115	−	0.555517i
$508$	9.09044	−	5.84207i	0.403323	−	0.259200i
$509$	11.2676	+	1.62003i	0.499426	+	0.0718065i	0.387424	−	0.921902i	$-0.373365\pi$
$509$	11.2676	+	1.62003i	0.499426	+	0.0718065i	0.112001	+	0.993708i	$0.464274\pi$
$510$	−0.539495	−	1.00985i	−0.0238892	−	0.0447168i
$511$	6.81644	+	23.2147i	0.301542	+	1.02696i
$512$	0.909632	−	0.415415i	0.0402004	−	0.0183589i
$513$	−1.24975	−	3.65366i	−0.0551776	−	0.161313i
$514$	1.67722	+	11.6653i	0.0739788	+	0.514534i
$515$	0.572424	−	1.94950i	0.0252240	−	0.0859052i
$516$	−2.23460	−	10.7442i	−0.0983727	−	0.472986i
$517$	5.42254	−	8.43764i	0.238483	−	0.371087i
$518$	4.15852	−	6.47079i	0.182715	−	0.284310i
$519$	−5.25333	−	25.2585i	−0.230596	−	1.10873i
$520$	0.294699	−	1.00365i	0.0129234	−	0.0440130i
$521$	−5.88997	−	40.9657i	−0.258044	−	1.79474i	−0.546724	−	0.837313i	$-0.684125\pi$
$521$	−5.88997	−	40.9657i	−0.258044	−	1.79474i	0.288679	−	0.957426i	$-0.406784\pi$
$522$	−11.9602	+	17.8830i	−0.523485	+	0.782719i
$523$	22.9961	−	10.5020i	1.00555	−	0.459219i	0.156582	−	0.987665i	$-0.449952\pi$
$523$	22.9961	−	10.5020i	1.00555	−	0.459219i	0.848967	+	0.528446i	$0.177225\pi$
$524$	−2.86214	−	9.74754i	−0.125033	−	0.425823i
$525$	−1.70348	−	3.18865i	−0.0743462	−	0.139164i
$526$	17.4658	+	2.51120i	0.761544	+	0.109493i
$527$	−3.14976	+	2.02423i	−0.137206	+	0.0881766i
$528$	−5.20829	−	3.97368i	−0.226662	−	0.172932i
$529$	22.4334	+	5.07370i	0.975365	+	0.220595i
$530$			6.11138i			0.265461i
$531$	−18.2510	+	20.3007i	−0.792024	+	0.880975i
$532$	−0.220744	+	1.53531i	−0.00957048	+	0.0665642i
$533$	−11.5157	−	5.25906i	−0.498801	−	0.227795i
$534$	5.02470	−	13.1047i	0.217440	−	0.567094i
$535$	2.96180	+	6.48545i	0.128050	+	0.280390i
$536$	−2.26337	−	2.61207i	−0.0977628	−	0.112824i
$537$	−31.0395	−	17.3190i	−1.33945	−	0.747372i
$538$	15.8052	+	4.64083i	0.681411	+	0.200080i
$539$	6.54769	−	7.55643i	0.282029	−	0.325479i
$540$	−4.24355	+	2.99871i	−0.182613	+	0.129044i
$541$	30.6413	+	19.6920i	1.31737	+	0.846624i	0.994989	−	0.0999857i	$-0.0318797\pi$
$541$	30.6413	+	19.6920i	1.31737	+	0.846624i	0.322383	+	0.946609i	$0.395516\pi$
$542$	6.00168	+	5.20049i	0.257794	+	0.223380i
$543$	−33.7564	+	24.7915i	−1.44862	+	1.06391i
$544$	0.654293	−	0.0940731i	0.0280526	−	0.00403335i
$545$	−2.67267	+	2.31588i	−0.114485	+	0.0992016i
$546$	−0.837564	+	3.68761i	−0.0358445	+	0.157815i
$547$	4.65073	−	1.36558i	0.198851	−	0.0583878i	−0.180791	−	0.983522i	$-0.557866\pi$
$547$	4.65073	−	1.36558i	0.198851	−	0.0583878i	0.379641	+	0.925134i	$0.376047\pi$
$548$	1.67187	−	3.66088i	0.0714187	−	0.156385i
$549$	−4.45134	−	35.5635i	−0.189978	−	1.51781i
$550$	2.04484	+	3.18184i	0.0871923	+	0.135674i
$551$	−5.32933			−0.227037
$552$	−5.74036	+	6.00402i	−0.244326	+	0.255548i
$553$	−13.6628			−0.581002
$554$	14.9083	+	23.1977i	0.633392	+	0.985577i
$555$	4.47202	+	4.55453i	0.189827	+	0.193329i
$556$	4.26586	−	9.34093i	0.180913	−	0.396144i
$557$	−33.1365	+	9.72976i	−1.40404	+	0.412263i	−0.894069	−	0.447929i	$-0.852162\pi$
$557$	−33.1365	+	9.72976i	−1.40404	+	0.412263i	−0.509970	+	0.860192i	$0.670343\pi$
$558$	10.8911	+	13.0433i	0.461056	+	0.552167i
$559$	5.00872	−	4.34008i	0.211846	−	0.183566i
$560$	2.06597	−	0.297041i	0.0873030	−	0.0125523i
$561$	−2.56331	−	3.49023i	−0.108223	−	0.147358i
$562$	0.306961	+	0.265983i	0.0129484	+	0.0112198i
$563$	−14.4681	−	9.29809i	−0.609758	−	0.391868i	0.199008	−	0.979998i	$-0.436228\pi$
$563$	−14.4681	−	9.29809i	−0.609758	−	0.391868i	−0.808766	+	0.588130i	$0.799864\pi$
$564$	4.31797	−	1.56571i	0.181819	−	0.0659284i
$565$	−5.94818	+	6.86457i	−0.250242	+	0.288794i
$566$	19.8756	+	5.83599i	0.835432	+	0.245305i
$567$	14.6369	−	11.7743i	0.614690	−	0.494475i
$568$	−6.82685	−	7.87861i	−0.286448	−	0.330579i
$569$	5.51954	+	12.0861i	0.231391	+	0.506676i	0.989338	−	0.145641i	$-0.0465244\pi$
$569$	5.51954	+	12.0861i	0.231391	+	0.506676i	−0.757946	+	0.652317i	$0.773797\pi$
$570$	−1.20185	−	0.460822i	−0.0503398	−	0.0193017i
$571$	34.6334	+	15.8166i	1.44936	+	0.661902i	0.975761	−	0.218837i	$-0.0702262\pi$
$571$	34.6334	+	15.8166i	1.44936	+	0.661902i	0.473602	+	0.880739i	$0.342954\pi$
$572$	0.563044	−	3.91606i	0.0235420	−	0.163739i
$573$	12.4810	+	1.00740i	0.521400	+	0.0420849i
$574$		−	25.2610i		−	1.05437i
$575$	4.29735	−	2.12904i	0.179212	−	0.0887871i
$576$	−0.792437	−	2.89345i	−0.0330182	−	0.120560i
$577$	11.2840	−	7.25179i	0.469759	−	0.301896i	−0.284261	−	0.958747i	$-0.591748\pi$
$577$	11.2840	−	7.25179i	0.469759	−	0.301896i	0.754020	+	0.656851i	$0.228112\pi$
$578$	−16.3945	−	2.35717i	−0.681920	−	0.0980453i
$579$	36.7921	−	19.6556i	1.52903	−	0.816859i
$580$	2.02039	+	6.88083i	0.0838923	+	0.285711i
$581$	−2.85852	+	1.30544i	−0.118591	+	0.0541589i
$582$	1.73522	+	27.8349i	0.0719273	+	1.15379i
$583$	3.28958	+	22.8795i	0.136240	+	0.947573i
$584$	3.26581	−	11.1223i	0.135140	−	0.460246i
$585$	−2.83018	−	1.35556i	−0.117014	−	0.0560457i
$586$	−12.0203	+	18.7039i	−0.496554	+	0.772653i
$587$	6.38911	−	9.94166i	0.263707	−	0.410336i	−0.683998	−	0.729484i	$-0.739760\pi$
$587$	6.38911	−	9.94166i	0.263707	−	0.410336i	0.947705	+	0.319148i	$0.103397\pi$
$588$	4.48284	−	0.932351i	0.184869	−	0.0384495i
$589$	−1.18589	+	4.03878i	−0.0488638	+	0.166415i
$590$	1.29500	+	9.00693i	0.0533143	+	0.370809i
$591$	−19.4485	+	1.21241i	−0.800002	+	0.0498720i
$592$	−3.35220	+	1.53090i	−0.137775	+	0.0629195i
$593$	−0.241084	−	0.821056i	−0.00990012	−	0.0337167i	0.954395	−	0.298547i	$-0.0965021\pi$
$593$	−0.241084	−	0.821056i	−0.00990012	−	0.0337167i	−0.964295	+	0.264831i	$0.914684\pi$
$594$	−14.2727	+	13.5106i	−0.585616	+	0.554348i
$595$	1.36565	+	0.196350i	0.0559860	+	0.00804958i
$596$	3.89009	−	2.50001i	0.159344	−	0.102404i
$597$	2.03941	−	2.67305i	0.0834673	−	0.109400i
$598$	−4.85558	−	1.26061i	−0.198559	−	0.0515500i
$599$		−	21.1464i		−	0.864018i	−0.901869	−	0.432009i	$-0.857805\pi$
$599$		−	21.1464i		−	0.864018i	0.901869	−	0.432009i	$-0.142195\pi$
$600$	−0.139349	+	1.72644i	−0.00568892	+	0.0704815i
$601$	−5.03858	+	35.0441i	−0.205528	+	1.42948i	0.581994	+	0.813193i	$0.302273\pi$
$601$	−5.03858	+	35.0441i	−0.205528	+	1.42948i	−0.787522	+	0.616286i	$0.788636\pi$
$602$	12.0293	+	5.49359i	0.490277	+	0.223902i
$603$	−8.82381	+	5.44541i	−0.359333	+	0.221754i
$604$	1.14338	+	2.50364i	0.0465233	+	0.101872i
$605$	2.16461	+	2.49810i	0.0880041	+	0.101562i
$606$	2.47723	−	4.43975i	0.100631	−	0.180352i
$607$	3.12684	+	0.918124i	0.126915	+	0.0372655i	0.344573	−	0.938760i	$-0.388024\pi$
$607$	3.12684	+	0.918124i	0.126915	+	0.0372655i	−0.217658	+	0.976025i	$0.569842\pi$
$608$	0.486656	−	0.561631i	0.0197365	−	0.0227771i
$609$	−8.83760	−	24.3726i	−0.358118	−	0.987628i
$610$	−10.0504	−	6.45903i	−0.406931	−	0.261518i
$611$	2.09634	+	1.81649i	0.0848089	+	0.0734874i
$612$	0.0362508	−	1.98273i	0.00146535	−	0.0801471i
$613$	0.946960	−	0.136152i	0.0382474	−	0.00549914i	−0.123165	−	0.992386i	$-0.539304\pi$
$613$	0.946960	−	0.136152i	0.0382474	−	0.00549914i	0.161412	+	0.986887i	$0.448395\pi$
$614$	4.61422	−	3.99824i	0.186215	−	0.161356i
$615$	20.4419	+	4.64296i	0.824299	+	0.187222i
$616$	7.57459	−	2.22410i	0.305189	−	0.0896115i
$617$	−12.6138	+	27.6204i	−0.507813	+	1.11196i	0.466037	+	0.884765i	$0.345681\pi$
$617$	−12.6138	+	27.6204i	−0.507813	+	1.11196i	−0.973850	+	0.227190i	$0.927046\pi$
$618$	2.51108	−	2.46559i	0.101010	−	0.0991805i
$619$	19.3858	+	30.1650i	0.779183	+	1.21243i	0.972866	+	0.231368i	$0.0743202\pi$
$619$	19.3858	+	30.1650i	0.779183	+	1.21243i	−0.193683	+	0.981064i	$0.562043\pi$
$620$	5.66415			0.227478
$621$	15.0169	+	19.8870i	0.602607	+	0.798038i
$622$	−13.1290			−0.526424
$623$	9.14376	+	14.2280i	0.366337	+	0.570032i
$624$	1.29277	−	1.26935i	0.0517521	−	0.0508146i
$625$	0.415415	−	0.909632i	0.0166166	−	0.0363853i
$626$	8.32229	−	2.44364i	0.332626	−	0.0976677i
$627$	−4.74747	−	1.07829i	−0.189596	−	0.0430627i
$628$	−2.99637	+	2.59637i	−0.119568	+	0.103607i
$629$	−2.41122	+	0.346681i	−0.0961415	+	0.0138231i
$630$	0.114464	−	6.26058i	0.00456036	−	0.249428i
$631$	−22.0520	−	19.1082i	−0.877878	−	0.760686i	0.0941481	−	0.995558i	$-0.469987\pi$
$631$	−22.0520	−	19.1082i	−0.877878	−	0.760686i	−0.972026	+	0.234872i	$0.924533\pi$
$632$	5.50682	+	3.53902i	0.219049	+	0.140775i
$633$	1.22521	+	3.37892i	0.0486977	+	0.134300i
$634$	19.8888	−	22.9528i	0.789883	−	0.911574i
$635$	−10.3681	−	3.04435i	−0.411446	−	0.120812i
$636$	−5.15766	+	9.24367i	−0.204515	+	0.366535i
$637$	1.81083	+	2.08981i	0.0717478	+	0.0828013i
$638$	11.2676	+	24.6726i	0.446089	+	0.976799i
$639$	−26.6146	+	16.4246i	−1.05286	+	0.649747i
$640$	−0.909632	−	0.415415i	−0.0359564	−	0.0164207i
$641$	−1.28966	+	8.96978i	−0.0509385	+	0.354285i	0.948372	+	0.317160i	$0.102729\pi$
$641$	−1.28966	+	8.96978i	−0.0509385	+	0.354285i	−0.999311	+	0.0371252i	$0.988180\pi$
$642$	−0.993526	+	12.3091i	−0.0392113	+	0.485800i
$643$		−	38.2327i		−	1.50775i	−0.657018	−	0.753875i	$-0.728182\pi$
$643$		−	38.2327i		−	1.50775i	0.657018	−	0.753875i	$-0.271818\pi$
$644$	−1.73676	−	9.85809i	−0.0684380	−	0.388463i
$645$	−6.65655	+	8.72473i	−0.262102	+	0.343536i
$646$	0.413252	−	0.265581i	0.0162592	−	0.0104491i
$647$	−15.7571	−	2.26553i	−0.619477	−	0.0890673i	−0.174571	−	0.984645i	$-0.555854\pi$
$647$	−15.7571	−	2.26553i	−0.619477	−	0.0890673i	−0.444906	+	0.895577i	$0.646763\pi$
$648$	−8.94926	+	0.954337i	−0.351560	+	0.0374899i
$649$	9.69634	+	33.0227i	0.380614	+	1.29625i
$650$	−0.951496	+	0.434534i	−0.0373207	+	0.0170438i
$651$	−20.4371	+	1.27404i	−0.800993	+	0.0499338i
$652$	0.327349	+	2.27676i	0.0128200	+	0.0891648i
$653$	6.58852	−	22.4384i	0.257829	−	0.878084i	−0.724238	−	0.689550i	$-0.757808\pi$
$653$	6.58852	−	22.4384i	0.257829	−	0.878084i	0.982067	−	0.188534i	$-0.0603735\pi$
$654$	−5.99699	+	1.24727i	−0.234501	+	0.0487720i
$655$	−5.49240	+	8.54634i	−0.214606	+	0.333933i
$656$	−6.54325	+	10.1815i	−0.255471	+	0.397520i
$657$	−31.3637	−	15.0222i	−1.22361	−	0.586071i
$658$	−1.55936	+	5.31069i	−0.0607902	+	0.207032i
$659$	0.220335	+	1.53247i	0.00858304	+	0.0596964i	0.993663	−	0.112402i	$-0.0358544\pi$
$659$	0.220335	+	1.53247i	0.00858304	+	0.0596964i	−0.985080	+	0.172098i	$0.944945\pi$
$660$	0.407600	+	6.53837i	0.0158658	+	0.254506i
$661$	−13.4064	+	6.12248i	−0.521447	+	0.238137i	−0.658709	−	0.752398i	$-0.728897\pi$
$661$	−13.4064	+	6.12248i	−0.521447	+	0.238137i	0.137262	+	0.990535i	$0.456170\pi$
$662$	0.254911	+	0.868148i	0.00990741	+	0.0337415i
$663$	1.05632	−	0.564324i	0.0410242	−	0.0219165i
$664$	1.49027	+	0.214269i	0.0578339	+	0.00831525i
$665$	1.30487	−	0.838587i	0.0506006	−	0.0325190i
$666$	2.92031	+	10.6630i	0.113160	+	0.413183i
$667$	32.6768	−	10.7268i	1.26525	−	0.415344i
$668$			19.4548i			0.752730i
$669$	15.5483	+	1.25498i	0.601133	+	0.0485205i
$670$	−0.491878	+	3.42109i	−0.0190029	+	0.132168i
$671$	−41.1031	−	18.7712i	−1.58677	−	0.724653i
$672$	3.37553	+	1.29428i	0.130214	+	0.0499277i
$673$	−2.36834	−	5.18594i	−0.0912928	−	0.199903i	0.858477	−	0.512851i	$-0.171411\pi$
$673$	−2.36834	−	5.18594i	−0.0912928	−	0.199903i	−0.949770	+	0.312948i	$0.898683\pi$
$674$	−17.5818	−	20.2905i	−0.677228	−	0.781562i
$675$	5.04521	+	1.24332i	0.194190	+	0.0478554i
$676$	−11.4236	−	3.35426i	−0.439368	−	0.129010i
$677$	−8.01771	+	9.25293i	−0.308146	+	0.355619i	−0.888608	−	0.458668i	$-0.848327\pi$
$677$	−8.01771	+	9.25293i	−0.308146	+	0.355619i	0.580462	+	0.814287i	$0.302872\pi$
$678$	−14.7901	+	5.36296i	−0.568012	+	0.205963i
$679$	−28.2725	−	18.1697i	−1.08500	−	0.697287i
$680$	−0.499566	−	0.432877i	−0.0191575	−	0.0166001i
$681$	17.5281	+	23.8664i	0.671678	+	0.914564i
$682$	21.2052	−	3.04885i	0.811989	−	0.116746i
$683$	−25.5249	+	22.1175i	−0.976685	+	0.846302i	−0.988128	−	0.153632i	$-0.950903\pi$
$683$	−25.5249	+	22.1175i	−0.976685	+	0.846302i	0.0114433	+	0.999935i	$0.496357\pi$
$684$	−1.42892	−	1.71130i	−0.0546363	−	0.0654332i
$685$	−3.86155	+	1.13385i	−0.147542	+	0.0433223i
$686$	−8.36152	+	18.3092i	−0.319244	+	0.699048i
$687$	14.6465	+	14.9167i	0.558797	+	0.569107i
$688$	−3.42544	−	5.33009i	−0.130594	−	0.203208i
$689$	−6.39264			−0.243540
$690$	8.29667	+	0.406474i	0.315849	+	0.0154742i
$691$	−24.1473			−0.918608			−0.459304	−	0.888279i	$-0.651901\pi$
$691$	−24.1473			−0.918608			−0.459304	+	0.888279i	$0.651901\pi$
$692$	−8.05290	−	12.5305i	−0.306125	−	0.476340i
$693$	−2.94137	−	23.4997i	−0.111733	−	0.892681i
$694$	−2.00953	+	4.40025i	−0.0762806	+	0.167031i
$695$	−9.85294	+	2.89309i	−0.373743	+	0.109741i
$696$	−2.75112	+	12.1126i	−0.104281	+	0.459126i
$697$	−6.04613	+	5.23900i	−0.229013	+	0.198441i
$698$	19.5318	−	2.80825i	0.739289	−	0.106294i
$699$	28.7074	−	21.0834i	1.08581	−	0.797448i
$700$	−1.57741	−	1.36683i	−0.0596204	−	0.0516614i
$701$	27.6474	+	17.7679i	1.04423	+	0.671086i	0.946029	−	0.324081i	$-0.105055\pi$
$701$	27.6474	+	17.7679i	1.04423	+	0.671086i	0.0982003	+	0.995167i	$0.468691\pi$
$702$	−3.13672	−	4.43885i	−0.118388	−	0.167534i
$703$	−1.79344	+	2.06974i	−0.0676408	+	0.0780616i
$704$	−3.62905	−	1.06558i	−0.136775	−	0.0401607i
$705$	−4.01096	−	2.23798i	−0.151061	−	0.0842873i
$706$	−20.9205	−	24.1436i	−0.787355	−	0.908656i
$707$	2.54508	+	5.57295i	0.0957176	+	0.209592i
$708$	−5.64261	+	14.7162i	−0.212062	+	0.553068i
$709$	16.1299	+	7.36626i	0.605770	+	0.276646i	0.694594	−	0.719401i	$-0.255584\pi$
$709$	16.1299	+	7.36626i	0.605770	+	0.276646i	−0.0888247	+	0.996047i	$0.528311\pi$
$710$	−1.48362	+	10.3188i	−0.0556792	+	0.387257i
$711$	13.1292	−	14.6038i	0.492385	−	0.547684i
$712$		−	8.10308i		−	0.303676i
$713$	−0.857902	−	27.1508i	−0.0321287	−	1.01680i
$714$	1.89988	+	1.44952i	0.0711011	+	0.0542468i
$715$	−3.32827	+	2.13895i	−0.124470	+	0.0799922i
$716$	−20.3127	−	2.92052i	−0.759120	−	0.109145i
$717$	−5.53260	−	10.3561i	−0.206619	−	0.386757i
$718$	0.896172	+	3.05208i	0.0334448	+	0.113903i
$719$	−39.9894	+	18.2626i	−1.49135	+	0.681079i	−0.983590	−	0.180417i	$-0.942255\pi$
$719$	−39.9894	+	18.2626i	−1.49135	+	0.681079i	−0.507764	+	0.861496i	$0.669528\pi$
$720$	−1.66779	+	2.49369i	−0.0621547	+	0.0929343i
$721$	0.603528	+	4.19763i	0.0224766	+	0.156328i
$722$	−5.19733	+	17.7005i	−0.193425	+	0.658743i
$723$	10.6726	+	51.3148i	0.396917	+	1.90842i
$724$	−13.0730	+	20.3421i	−0.485856	+	0.756007i
$725$	3.87711	−	6.03290i	0.143992	−	0.224056i
$726$	1.16580	+	5.60527i	0.0432668	+	0.208031i
$727$	7.58333	−	25.8265i	0.281250	−	0.957851i	−0.690794	−	0.723052i	$-0.742739\pi$
$727$	7.58333	−	25.8265i	0.281250	−	0.957851i	0.972044	−	0.234799i	$-0.0754431\pi$
$728$	0.310712	+	2.16105i	0.0115157	+	0.0800937i
$729$	−1.48004	+	26.9594i	−0.0548163	+	0.998496i
$730$	−10.5444	+	4.81545i	−0.390264	+	0.178228i
$731$	−1.17994	−	4.01851i	−0.0436417	−	0.148630i
$732$	−9.75058	−	18.2515i	−0.360392	−	0.674595i
$733$	−12.2134	−	1.75602i	−0.451111	−	0.0648600i	−0.0869850	−	0.996210i	$-0.527723\pi$
$733$	−12.2134	−	1.75602i	−0.451111	−	0.0648600i	−0.364126	+	0.931350i	$0.618632\pi$
$734$	−25.1189	+	16.1429i	−0.927156	+	0.595847i
$735$	−3.64026	−	2.77734i	−0.134273	−	0.102444i
$736$	−1.85349	+	4.42319i	−0.0683206	+	0.163041i
$737$			13.0725i			0.481531i
$738$	27.0007	+	24.2745i	0.993911	+	0.893557i
$739$	1.88621	−	13.1189i	0.0693855	−	0.482587i	−0.925268	−	0.379315i	$-0.876160\pi$
$739$	1.88621	−	13.1189i	0.0693855	−	0.482587i	0.994653	−	0.103272i	$-0.0329312\pi$
$740$	3.35220	+	1.53090i	0.123229	+	0.0562769i
$741$	0.482031	−	1.25716i	0.0177078	−	0.0461829i
$742$	−5.29892	−	11.6030i	−0.194530	−	0.425960i
$743$	14.5944	+	16.8428i	0.535416	+	0.617903i	0.957423	−	0.288690i	$-0.0932196\pi$
$743$	14.5944	+	16.8428i	0.535416	+	0.617903i	−0.422007	+	0.906593i	$0.638674\pi$
$744$	8.56722	+	4.78023i	0.314090	+	0.175252i
$745$	−4.43685	−	1.30278i	−0.162554	−	0.0477300i
$746$	24.0641	−	27.7714i	0.881049	−	1.01678i
$747$	1.35154	−	4.30985i	0.0494503	−	0.157689i
$748$	−2.10326	−	1.35168i	−0.0769028	−	0.0494224i
$749$	−11.2465	−	9.74517i	−0.410939	−	0.356081i
$750$	1.39601	−	1.02526i	0.0509750	−	0.0374373i
$751$	3.38314	−	0.486422i	0.123452	−	0.0177498i	−0.0803117	−	0.996770i	$-0.525592\pi$
$751$	3.38314	−	0.486422i	0.123452	−	0.0177498i	0.203764	+	0.979020i	$0.434682\pi$
$752$	2.00411	−	1.73657i	0.0730823	−	0.0633262i
$753$	−5.53540	+	24.3712i	−0.201721	+	0.888134i
$754$	−7.19750	+	2.11338i	−0.262118	+	0.0769647i
$755$	1.14338	−	2.50364i	0.0416117	−	0.0911169i
$756$	5.45671	−	9.37274i	0.198459	−	0.340883i
$757$	−3.87928	−	6.03627i	−0.140995	−	0.219392i	0.763574	−	0.645721i	$-0.223443\pi$
$757$	−3.87928	−	6.03627i	−0.140995	−	0.219392i	−0.904568	+	0.426329i	$0.859807\pi$
$758$	−6.32764			−0.229830
$759$	31.2795	−	2.94412i	1.13537	−	0.106865i
$760$	−0.743144			−0.0269567
$761$	−18.9528	−	29.4911i	−0.687037	−	1.06905i	−0.993126	−	0.117048i	$-0.962657\pi$
$761$	−18.9528	−	29.4911i	−0.687037	−	1.06905i	0.306089	−	0.952003i	$-0.400980\pi$
$762$	−13.1129	−	13.3548i	−0.475029	−	0.483793i
$763$	3.06631	−	6.71429i	0.111008	−	0.243074i
$764$	6.93649	−	2.03674i	0.250954	−	0.0736866i
$765$	−1.52219	+	1.27102i	−0.0550348	+	0.0459537i
$766$	−5.57971	+	4.83485i	−0.201603	+	0.174690i
$767$	−9.42145	+	1.35460i	−0.340189	+	0.0489118i
$768$	−1.02526	−	1.39601i	−0.0369960	−	0.0503741i
$769$	23.4998	+	20.3627i	0.847424	+	0.734297i	0.965971	−	0.258651i	$-0.0832780\pi$
$769$	23.4998	+	20.3627i	0.847424	+	0.734297i	−0.118546	+	0.992949i	$0.537823\pi$
$770$	−6.64116	−	4.26801i	−0.239331	−	0.153809i
$771$	19.1900	−	6.95837i	0.691112	−	0.250600i
$772$	15.7712	−	18.2009i	0.567616	−	0.655064i
$773$	48.8089	+	14.3316i	1.75553	+	0.515471i	0.991545	−	0.129760i	$-0.0414208\pi$
$773$	48.8089	+	14.3316i	1.75553	+	0.515471i	0.763987	+	0.645231i	$0.223239\pi$
$774$	−17.4315	+	7.57869i	−0.626561	+	0.272411i
$775$	−3.70923	−	4.28068i	−0.133239	−	0.153767i
$776$	6.68889	+	14.6466i	0.240117	+	0.525783i
$777$	−12.4396	−	4.76970i	−0.446268	−	0.171112i
$778$	−13.9201	−	6.35712i	−0.499062	−	0.227914i
$779$	−1.27999	+	8.90255i	−0.0458605	+	0.318967i
$780$	−1.80589	−	0.145763i	−0.0646613	−	0.00521914i
$781$			39.4296i			1.41090i
$782$	−1.99930	+	2.46020i	−0.0714949	+	0.0879767i
$783$	34.5436	+	13.9746i	1.23449	+	0.499410i
$784$	2.22390	−	1.42921i	0.0794249	−	0.0510433i
$785$	3.92441	+	0.564246i	0.140068	+	0.0201388i
$786$	−15.5201	+	8.29135i	−0.553583	+	0.295743i
$787$	2.34075	+	7.97186i	0.0834387	+	0.284166i	0.990634	−	0.136543i	$-0.0435993\pi$
$787$	2.34075	+	7.97186i	0.0834387	+	0.284166i	−0.907195	+	0.420710i	$0.861781\pi$
$788$	−10.2337	+	4.67357i	−0.364560	+	0.166489i
$789$	−1.90158	−	30.5035i	−0.0676980	−	1.08595i
$790$	−0.931588	−	6.47934i	−0.0331444	−	0.230525i
$791$	5.34120	−	18.1904i	0.189911	−	0.646778i
$792$	−4.90151	+	10.2335i	−0.174167	+	0.363631i
$793$	6.75629	−	10.5130i	0.239923	−	0.373327i
$794$	−0.753961	+	1.17319i	−0.0267571	+	0.0416348i
$795$	10.3635	−	2.15541i	0.367554	−	0.0764446i
$796$	0.546889	−	1.86253i	0.0193840	−	0.0660157i
$797$	−2.83260	−	19.7012i	−0.100336	−	0.697851i	−0.976449	−	0.215746i	$-0.930782\pi$
$797$	−2.83260	−	19.7012i	−0.100336	−	0.697851i	0.876114	−	0.482105i	$-0.160128\pi$
$798$	2.68138	−	0.167156i	0.0949197	−	0.00591727i
$799$	1.59450	−	0.728183i	0.0564093	−	0.0257613i
$800$	0.281733	+	0.959493i	0.00996075	+	0.0339232i
$801$	−23.9945	−	3.89884i	−0.847805	−	0.137759i
$802$	11.6045	+	1.66847i	0.409768	+	0.0589158i
$803$	−36.8835	+	23.7036i	−1.30159	+	0.836482i
$804$	−3.63119	+	4.75939i	−0.128062	+	0.167851i
$805$	−6.31291	+	7.76823i	−0.222501	+	0.273794i
$806$			5.92483i			0.208693i
$807$	2.29543	−	28.4386i	0.0808028	−	1.00109i
$808$	0.417737	−	2.90543i	0.0146959	−	0.102213i
$809$	−3.92490	−	1.79244i	−0.137992	−	0.0630188i	0.345222	−	0.938521i	$-0.387804\pi$
$809$	−3.92490	−	1.79244i	−0.137992	−	0.0630188i	−0.483214	+	0.875502i	$0.660531\pi$
$810$	6.58176	+	6.13844i	0.231259	+	0.215683i
$811$	17.4883	+	38.2941i	0.614098	+	1.34469i	0.919736	+	0.392538i	$0.128403\pi$
$811$	17.4883	+	38.2941i	0.614098	+	1.34469i	−0.305638	+	0.952148i	$0.598870\pi$
$812$	−9.80199	−	11.3121i	−0.343982	−	0.396977i
$813$	6.70207	−	12.0116i	0.235052	−	0.421265i
$814$	13.3739	+	3.92692i	0.468754	+	0.137638i
$815$	1.50629	−	1.73835i	0.0527631	−	0.0608919i
$816$	−0.390287	−	1.07635i	−0.0136628	−	0.0376797i
$817$	−3.96103	−	2.54560i	−0.138579	−	0.0890593i
$818$	−24.2788	−	21.0377i	−0.848887	−	0.735564i
$819$	6.54871	+	0.119732i	0.228831	+	0.00418378i
$820$	11.9796	−	1.72240i	0.418345	−	0.0601489i
$821$	7.08830	−	6.14205i	0.247383	−	0.214359i	−0.522339	−	0.852738i	$-0.674940\pi$
$821$	7.08830	−	6.14205i	0.247383	−	0.214359i	0.769722	+	0.638379i	$0.220395\pi$
$822$	−6.79763	−	1.54394i	−0.237095	−	0.0538511i
$823$	−34.6336	+	10.1693i	−1.20725	+	0.354481i	−0.822621	−	0.568590i	$-0.807489\pi$
$823$	−34.6336	+	10.1693i	−1.20725	+	0.354481i	−0.384630	+	0.923071i	$0.625671\pi$
$824$	0.844041	−	1.84819i	0.0294035	−	0.0643848i
$825$	4.67445	−	4.58976i	0.162743	−	0.159795i
$826$	−10.2682	−	15.9776i	−0.357277	−	0.555933i
$827$	12.7463			0.443233			0.221617	−	0.975134i	$-0.428867\pi$
$827$	12.7463			0.443233			0.221617	+	0.975134i	$0.428867\pi$
$828$	12.2060	+	7.61673i	0.424186	+	0.264700i
$829$	−35.3008			−1.22605			−0.613024	−	0.790064i	$-0.710047\pi$
$829$	−35.3008			−1.22605			−0.613024	+	0.790064i	$0.710047\pi$
$830$	−0.813988	−	1.26659i	−0.0282539	−	0.0439640i
$831$	34.0798	−	33.4624i	1.18222	−	1.16080i
$832$	0.434534	−	0.951496i	0.0150647	−	0.0329872i
$833$	1.67666	−	0.492312i	0.0580928	−	0.0170576i
$834$	−17.3445	−	3.93945i	−0.600591	−	0.136412i
$835$	14.7030	−	12.7402i	0.508817	−	0.440893i
$836$	−2.78215	+	0.400013i	−0.0962228	+	0.0138347i
$837$	18.2772	−	23.0689i	0.631753	−	0.797378i
$838$	−16.5776	−	14.3645i	−0.572663	−	0.496215i
$839$	−30.0405	−	19.3059i	−1.03711	−	0.666513i	−0.0928432	−	0.995681i	$-0.529596\pi$
$839$	−30.0405	−	19.3059i	−1.03711	−	0.666513i	−0.944272	+	0.329168i	$0.893232\pi$
$840$	−1.23235	−	3.39862i	−0.0425202	−	0.117264i
$841$	14.6871	−	16.9498i	0.506451	−	0.584476i
$842$	−18.7184	−	5.49623i	−0.645080	−	0.189413i
$843$	0.342783	−	0.614342i	0.0118061	−	0.0211591i
$844$	1.35891	+	1.56826i	0.0467756	+	0.0539819i
$845$	4.94586	+	10.8299i	0.170143	+	0.372561i
$846$	−4.17798	−	6.77005i	−0.143642	−	0.232759i
$847$	−6.27572	−	2.86602i	−0.215636	−	0.0984778i
$848$	−0.869740	+	6.04918i	−0.0298670	+	0.207730i
$849$	2.88657	−	35.7625i	0.0990670	−	1.22737i
$850$			0.661021i			0.0226728i
$851$	6.83054	−	16.3004i	0.234148	−	0.558772i
$852$	−10.9525	+	14.3554i	−0.375226	+	0.491809i
$853$	5.80394	−	3.72997i	0.198723	−	0.127712i	−0.437495	−	0.899221i	$-0.644134\pi$
$853$	5.80394	−	3.72997i	0.198723	−	0.127712i	0.636218	+	0.771509i	$0.280498\pi$
$854$	24.6821	+	3.54874i	0.844603	+	0.121436i
$855$	−0.357568	+	2.20057i	−0.0122286	+	0.0752580i
$856$	2.00868	+	6.84094i	0.0686553	+	0.233819i
$857$	3.77765	−	1.72519i	0.129042	−	0.0589315i	−0.349848	−	0.936807i	$-0.613767\pi$
$857$	3.77765	−	1.72519i	0.129042	−	0.0589315i	0.478890	+	0.877875i	$0.341039\pi$
$858$	−6.83928	+	0.426359i	−0.233489	+	0.0145557i
$859$	−1.26342	−	8.78727i	−0.0431073	−	0.299818i	−0.999957	−	0.00923573i	$-0.997060\pi$
$859$	−1.26342	−	8.78727i	−0.0431073	−	0.299818i	0.956850	−	0.290582i	$-0.0938490\pi$
$860$	−1.78503	+	6.07925i	−0.0608689	+	0.207301i
$861$	−42.8367	+	8.90927i	−1.45987	+	0.303627i
$862$	8.99403	−	13.9950i	0.306338	−	0.476671i
$863$	3.97796	−	6.18983i	0.135411	−	0.210704i	−0.766925	−	0.641737i	$-0.778214\pi$
$863$	3.97796	−	6.18983i	0.135411	−	0.210704i	0.902336	+	0.431032i	$0.141851\pi$
$864$	−4.62712	+	2.36427i	−0.157418	+	0.0804341i
$865$	−4.19643	+	14.2917i	−0.142683	+	0.485934i
$866$	4.05287	+	28.1884i	0.137722	+	0.957880i
$867$	1.78494	+	28.6325i	0.0606198	+	0.972409i
$868$	−10.7539	+	4.91115i	−0.365012	+	0.166695i
$869$	−6.97528	−	23.7556i	−0.236620	−	0.805854i
$870$	10.9557	−	5.85290i	0.371432	−	0.198432i
$871$	−3.57854	−	0.514516i	−0.121254	−	0.0174337i
$872$	−2.97505	+	1.91195i	−0.100748	+	0.0647468i
$873$	46.5894	−	12.7596i	1.57681	−	0.431846i
$874$	0.112558	+	3.56222i	0.00380733	+	0.120494i
$875$			2.08721i			0.0705606i
$876$	−20.0127	−	1.61532i	−0.676165	−	0.0545767i
$877$	−4.49648	+	31.2737i	−0.151835	+	1.05604i	0.761305	+	0.648393i	$0.224559\pi$
$877$	−4.49648	+	31.2737i	−0.151835	+	1.05604i	−0.913141	+	0.407644i	$0.866350\pi$
$878$	2.98757	+	1.36438i	0.100826	+	0.0460455i
$879$	35.9569	+	13.7869i	1.21280	+	0.465021i
$880$	1.57121	+	3.44046i	0.0529653	+	0.115978i
$881$	32.7643	+	37.8120i	1.10386	+	1.27392i	0.958672	+	0.284514i	$0.0918324\pi$
$881$	32.7643	+	37.8120i	1.10386	+	1.27392i	0.145185	+	0.989404i	$0.453622\pi$
$882$	−3.16209	−	7.27300i	−0.106473	−	0.244895i
$883$	11.0904	+	3.25642i	0.373220	+	0.109587i	0.462963	−	0.886378i	$-0.346786\pi$
$883$	11.0904	+	3.25642i	0.373220	+	0.109587i	−0.0897428	+	0.995965i	$0.528605\pi$
$884$	0.452799	−	0.522558i	0.0152293	−	0.0175755i
$885$	14.8169	−	5.37265i	0.498064	−	0.180600i
$886$	−31.5654	−	20.2858i	−1.06046	−	0.681516i
$887$	−35.1807	−	30.4842i	−1.18125	−	1.02356i	−0.999189	−	0.0402737i	$-0.987177\pi$
$887$	−35.1807	−	30.4842i	−1.18125	−	1.02356i	−0.182063	−	0.983287i	$-0.558278\pi$
$888$	3.77832	+	5.14461i	0.126792	+	0.172642i
$889$	22.3245	−	3.20978i	0.748739	−	0.107652i
$890$	−6.12390	+	5.30639i	−0.205273	+	0.177870i
$891$	27.9447	+	19.4381i	0.936181	+	0.651200i
$892$	8.64122	−	2.53729i	0.289330	−	0.0849548i
$893$	0.818650	−	1.79259i	0.0273951	−	0.0599869i
$894$	−5.61141	−	5.71495i	−0.187674	−	0.191136i
$895$	11.0948	+	17.2638i	0.370858	+	0.577066i
$896$	2.08721			0.0697288
$897$	−0.425181	+	8.67851i	−0.0141964	+	0.289767i
$898$	28.8025			0.961153
$899$	−21.9605	−	34.1712i	−0.732424	−	1.13967i
$900$	2.97677	−	0.372591i	0.0992258	−	0.0124197i
$901$	−1.67817	+	3.67469i	−0.0559080	+	0.122422i
$902$	43.9215	−	12.8965i	1.46243	−	0.429407i
$903$	5.07324	−	22.3363i	0.168827	−	0.743307i
$904$	−6.86457	+	5.94818i	−0.228312	+	0.197834i
$905$	23.9345	−	3.44127i	0.795611	−	0.114392i
$906$	3.84233	−	2.82190i	0.127653	−	0.0937514i
$907$	4.18175	+	3.62351i	0.138853	+	0.120317i	0.721518	−	0.692396i	$-0.243445\pi$
$907$	4.18175	+	3.62351i	0.138853	+	0.120317i	−0.582665	+	0.812712i	$0.697990\pi$
$908$	14.3822	+	9.24291i	0.477292	+	0.306737i
$909$	−8.40245	−	2.63495i	−0.278692	−	0.0873958i
$910$	1.42974	−	1.65001i	0.0473953	−	0.0546971i
$911$	13.0459	+	3.83063i	0.432231	+	0.126915i	0.490609	−	0.871380i	$-0.336774\pi$
$911$	13.0459	+	3.83063i	0.432231	+	0.126915i	−0.0583773	+	0.998295i	$0.518593\pi$
$912$	−1.12403	−	0.627172i	−0.0372204	−	0.0207678i
$913$	−3.72914	−	4.30366i	−0.123417	−	0.142430i
$914$	−6.84875	−	14.9967i	−0.226536	−	0.496046i
$915$	−7.40830	+	19.3212i	−0.244911	+	0.638739i
$916$	10.9789	+	5.01389i	0.362753	+	0.165664i
$917$	3.01766	−	20.9883i	0.0996518	−	0.693093i
$918$	−3.37503	+	0.637814i	−0.111392	+	0.0210510i
$919$		−	47.2119i		−	1.55738i	−0.627411	−	0.778688i	$-0.715886\pi$
$919$		−	47.2119i		−	1.55738i	0.627411	−	0.778688i	$-0.284114\pi$
$920$	4.55660	−	1.49579i	0.150227	−	0.0493149i
$921$	−8.40745	−	6.41448i	−0.277035	−	0.211364i
$922$	8.76297	−	5.63162i	0.288593	−	0.185468i
$923$	−10.7937	−	1.55190i	−0.355278	−	0.0510813i
$924$	−6.44301	−	12.0603i	−0.211960	−	0.396754i
$925$	−1.03825	−	3.53595i	−0.0341374	−	0.116261i
$926$	3.57164	−	1.63111i	0.117371	−	0.0536018i
$927$	−5.06668	−	3.38861i	−0.166412	−	0.111297i
$928$	1.02058	+	7.09832i	0.0335023	+	0.233014i
$929$	−4.72546	+	16.0934i	−0.155037	+	0.528008i	−0.999977	−	0.00685406i	$-0.997818\pi$
$929$	−4.72546	+	16.0934i	−0.155037	+	0.528008i	0.844939	+	0.534862i	$0.179636\pi$
$930$	−1.99768	−	9.60506i	−0.0655065	−	0.314962i
$931$	1.06211	−	1.65268i	0.0348093	−	0.0541643i
$932$	11.1177	−	17.2995i	0.364172	−	0.566663i
$933$	4.63044	+	22.2636i	0.151594	+	0.728878i
$934$	6.76193	−	23.0290i	0.221257	−	0.753533i
$935$	0.355808	+	2.47470i	0.0116362	+	0.0809314i
$936$	−2.60846	−	1.74454i	−0.0852601	−	0.0570222i
$937$	−25.2230	+	11.5189i	−0.823999	+	0.376308i	−0.782361	−	0.622825i	$-0.785985\pi$
$937$	−25.2230	+	11.5189i	−0.823999	+	0.376308i	−0.0416377	+	0.999133i	$0.513258\pi$
$938$	−2.03241	−	6.92174i	−0.0663604	−	0.226003i
$939$	−7.07902	−	13.2508i	−0.231015	−	0.432423i
$940$	−2.62482	−	0.377393i	−0.0856123	−	0.0123092i
$941$	18.9966	−	12.2084i	0.619271	−	0.397981i	−0.193053	−	0.981188i	$-0.561839\pi$
$941$	18.9966	−	12.2084i	0.619271	−	0.397981i	0.812323	+	0.583207i	$0.198202\pi$
$942$	5.45962	+	4.16543i	0.177884	+	0.135717i
$943$	−10.0707	−	57.1625i	−0.327946	−	1.86147i
$944$			9.09955i			0.296165i
$945$	−10.6568	+	2.01393i	−0.346667	+	0.0655132i
$946$	−3.41043	+	23.7201i	−0.110883	+	0.771206i
$947$	−34.1596	−	15.6002i	−1.11004	−	0.506937i	−0.225894	−	0.974152i	$-0.572530\pi$
$947$	−34.1596	−	15.6002i	−1.11004	−	0.506937i	−0.884144	+	0.467215i	$0.845258\pi$
$948$	4.05914	−	10.5864i	0.131835	−	0.343831i
$949$	−5.03707	−	11.0296i	−0.163510	−	0.358037i
$950$	0.486656	+	0.561631i	0.0157892	+	0.0182217i
$951$	−45.9371	−	25.6314i	−1.48961	−	0.831155i
$952$	1.32380	+	0.388703i	0.0429047	+	0.0125980i
$953$	14.7151	−	16.9822i	0.476670	−	0.550107i	−0.465585	−	0.885003i	$-0.654156\pi$
$953$	14.7151	−	16.9822i	0.476670	−	0.550107i	0.942255	+	0.334896i	$0.108701\pi$
$954$	17.4941	+	5.48604i	0.566393	+	0.177617i
$955$	−6.08170	−	3.90847i	−0.196799	−	0.126475i
$956$	−5.12313	−	4.43922i	−0.165694	−	0.143575i
$957$	37.8650	−	27.8090i	1.22400	−	0.898936i
$958$	16.6604	−	2.39540i	0.538273	−	0.0773919i
$959$	6.34840	−	5.50092i	0.205000	−	0.177634i
$960$	−0.383629	+	1.68903i	−0.0123816	+	0.0545133i
$961$	−1.03876	+	0.305007i	−0.0335084	+	0.00983894i
$962$	−1.60135	+	3.50648i	−0.0516298	+	0.113053i
$963$	21.2236	−	2.65648i	0.683922	−	0.0856038i
$964$	16.3601	+	25.4568i	0.526924	+	0.819910i
$965$	−24.0832			−0.775266
$966$	−16.1044	+	6.42197i	−0.518152	+	0.206624i
$967$	−18.8261			−0.605406			−0.302703	−	0.953085i	$-0.597889\pi$
$967$	−18.8261			−0.605406			−0.302703	+	0.953085i	$0.597889\pi$
$968$	1.78706	+	2.78073i	0.0574384	+	0.0893759i
$969$	−0.596112	−	0.607110i	−0.0191499	−	0.0195032i
$970$	6.68889	−	14.6466i	0.214767	−	0.470275i
$971$	39.9729	−	11.7371i	1.28279	−	0.376662i	0.431861	−	0.901940i	$-0.357857\pi$
$971$	39.9729	−	11.7371i	1.28279	−	0.376662i	0.850930	+	0.525279i	$0.176039\pi$
$972$	4.77463	+	14.8392i	0.153146	+	0.475969i
$973$	16.1983	−	14.0359i	0.519292	−	0.449969i
$974$	−35.0235	+	5.03562i	−1.12223	+	0.161352i
$975$	1.07245	+	1.46026i	0.0343458	+	0.0467656i
$976$	−9.02893	−	7.82361i	−0.289009	−	0.250428i
$977$	13.5596	+	8.71426i	0.433812	+	0.278794i	0.739267	−	0.673413i	$-0.235172\pi$
$977$	13.5596	+	8.71426i	0.433812	+	0.278794i	−0.305455	+	0.952206i	$0.598809\pi$
$978$	3.74539	−	1.35809i	0.119764	−	0.0434270i
$979$	−20.0701	+	23.1621i	−0.641443	+	0.740265i
$980$	−2.53647	−	0.744775i	−0.0810246	−	0.0237910i
$981$	4.23014	+	9.72957i	0.135058	+	0.310641i
$982$	−20.0461	−	23.1344i	−0.639697	−	0.738249i
$983$	9.68598	+	21.2093i	0.308935	+	0.676473i	0.998876	−	0.0473923i	$-0.0150911\pi$
$983$	9.68598	+	21.2093i	0.308935	+	0.676473i	−0.689942	+	0.723865i	$0.742364\pi$
$984$	19.5731	+	7.50490i	0.623968	+	0.239247i
$985$	10.2337	+	4.67357i	0.326073	+	0.148912i
$986$	−0.674628	+	4.69214i	−0.0214845	+	0.149428i
$987$	9.55564	+	0.771284i	0.304159	+	0.0245502i
$988$		−	0.777346i		−	0.0247307i
$989$	29.4109	+	7.63565i	0.935211	+	0.242800i
$990$	10.9438	−	2.99720i	0.347816	−	0.0952573i
$991$	−50.8887	+	32.7042i	−1.61653	+	1.03888i	−0.658354	+	0.752709i	$0.728747\pi$
$991$	−50.8887	+	32.7042i	−1.61653	+	1.03888i	−0.958178	+	0.286173i	$0.907617\pi$
$992$	5.60650	+	0.806093i	0.178007	+	0.0255935i
$993$	1.38227	−	0.738455i	0.0438650	−	0.0234342i
$994$	−6.13020	−	20.8776i	−0.194438	−	0.662196i
$995$	−1.76574	+	0.806388i	−0.0559779	+	0.0255642i
$996$	−0.162253	−	2.60272i	−0.00514119	−	0.0824704i
$997$	7.87158	+	54.7480i	0.249295	+	1.73389i	0.602304	+	0.798267i	$0.294250\pi$
$997$	7.87158	+	54.7480i	0.249295	+	1.73389i	−0.353009	+	0.935620i	$0.614841\pi$
$998$	0.717432	−	2.44335i	0.0227099	−	0.0773429i
$999$	17.0520	−	8.71288i	0.539501	−	0.275663i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	690.2.q.b.11.2	yes	160
3.2	odd	2		690.2.q.a.11.14	✓	160
23.21	odd	22		690.2.q.a.251.14	yes	160
69.44	even	22	inner	690.2.q.b.251.2	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
690.2.q.a.11.14	✓	160	3.2	odd	2
690.2.q.a.251.14	yes	160	23.21	odd	22
690.2.q.b.11.2	yes	160	1.1	even	1	trivial
690.2.q.b.251.2	yes	160	69.44	even	22	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:	\( N \)	\(=\)	\( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	690.q (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.540641 - 0.841254i) q^{2} +(-1.23589 + 1.21350i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(0.959493 - 0.281733i) q^{5} +(1.68903 + 0.383629i) q^{6} +(-1.57741 + 1.36683i) q^{7} +(0.989821 - 0.142315i) q^{8} +(0.0548407 - 2.99950i) q^{9} +O(q^{10})\)	\(q+(-0.540641 - 0.841254i) q^{2} +(-1.23589 + 1.21350i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(0.959493 - 0.281733i) q^{5} +(1.68903 + 0.383629i) q^{6} +(-1.57741 + 1.36683i) q^{7} +(0.989821 - 0.142315i) q^{8} +(0.0548407 - 2.99950i) q^{9} +(-0.755750 - 0.654861i) q^{10} +(-3.18184 - 2.04484i) q^{11} +(-0.590431 - 1.62831i) q^{12} +(0.684999 - 0.790531i) q^{13} +(2.00266 + 0.588035i) q^{14} +(-0.843944 + 1.51253i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(-0.274598 - 0.601286i) q^{17} +(-2.55299 + 1.57552i) q^{18} +(-0.675988 - 0.308713i) q^{19} +(-0.142315 + 0.989821i) q^{20} +(0.290852 - 3.60344i) q^{21} +3.78226i q^{22} +(4.76620 + 0.532257i) q^{23} +(-1.05061 + 1.37703i) q^{24} +(0.841254 - 0.540641i) q^{25} +(-1.03538 - 0.148865i) q^{26} +(3.57211 + 3.77360i) q^{27} +(-0.588035 - 2.00266i) q^{28} +(6.52326 - 2.97907i) q^{29} +(1.72869 - 0.107766i) q^{30} +(-0.806093 - 5.60650i) q^{31} +(-0.281733 + 0.959493i) q^{32} +(6.41381 - 1.33396i) q^{33} +(-0.357375 + 0.556086i) q^{34} +(-1.12843 + 1.75587i) q^{35} +(2.70566 + 1.29592i) q^{36} +(1.03825 - 3.53595i) q^{37} +(0.105760 + 0.735580i) q^{38} +(0.112726 + 1.80825i) q^{39} +(0.909632 - 0.415415i) q^{40} +(-3.40974 - 11.6125i) q^{41} +(-3.18865 + 1.70348i) q^{42} +(6.27140 + 0.901692i) q^{43} +(3.18184 - 2.04484i) q^{44} +(-0.792437 - 2.89345i) q^{45} +(-2.12904 - 4.29735i) q^{46} +2.65181i q^{47} +(1.72644 + 0.139349i) q^{48} +(-0.376217 + 2.61665i) q^{49} +(-0.909632 - 0.415415i) q^{50} +(1.06903 + 0.409898i) q^{51} +(0.434534 + 0.951496i) q^{52} +(-4.00210 - 4.61867i) q^{53} +(1.24332 - 5.04521i) q^{54} +(-3.62905 - 1.06558i) q^{55} +(-1.36683 + 1.57741i) q^{56} +(1.21007 - 0.438775i) q^{57} +(-6.03290 - 3.87711i) q^{58} +(-6.87698 - 5.95894i) q^{59} +(-1.02526 - 1.39601i) q^{60} +(11.8254 - 1.70023i) q^{61} +(-4.28068 + 3.70923i) q^{62} +(4.01330 + 4.80639i) q^{63} +(0.959493 - 0.281733i) q^{64} +(0.434534 - 0.951496i) q^{65} +(-4.58976 - 4.67445i) q^{66} +(-1.86860 - 2.90760i) q^{67} +0.661021 q^{68} +(-6.53639 + 5.12597i) q^{69} +2.08721 q^{70} +(-5.63612 - 8.76998i) q^{71} +(-0.372591 - 2.97677i) q^{72} +(4.81545 - 10.5444i) q^{73} +(-3.53595 + 1.03825i) q^{74} +(-0.383629 + 1.68903i) q^{75} +(0.561631 - 0.486656i) q^{76} +(7.81401 - 1.12348i) q^{77} +(1.46026 - 1.07245i) q^{78} +(4.94711 + 4.28670i) q^{79} +(-0.841254 - 0.540641i) q^{80} +(-8.99398 - 0.328989i) q^{81} +(-7.92562 + 9.14666i) q^{82} +(1.44461 + 0.424176i) q^{83} +(3.15698 + 1.76149i) q^{84} +(-0.432877 - 0.499566i) q^{85} +(-2.63203 - 5.76333i) q^{86} +(-4.44692 + 11.5978i) q^{87} +(-3.44046 - 1.57121i) q^{88} +(1.15319 - 8.02060i) q^{89} +(-2.00570 + 2.23096i) q^{90} +2.18327i q^{91} +(-2.46411 + 4.11438i) q^{92} +(7.79972 + 5.95081i) q^{93} +(2.23085 - 1.43368i) q^{94} +(-0.735580 - 0.105760i) q^{95} +(-0.816154 - 1.52771i) q^{96} +(4.53637 + 15.4495i) q^{97} +(2.40466 - 1.09817i) q^{98} +(-6.30799 + 9.43177i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q + 16 q^{4} + 16 q^{5} - 2 q^{6} - 46 q^{9}+O(q^{10}) \) 160 * q + 16 * q^4 + 16 * q^5 - 2 * q^6 - 46 * q^9	\( 160 q + 16 q^{4} + 16 q^{5} - 2 q^{6} - 46 q^{9} + 12 q^{11} + 12 q^{14} - 16 q^{16} - 8 q^{18} - 16 q^{20} + 70 q^{21} - 4 q^{23} + 2 q^{24} - 16 q^{25} + 42 q^{27} + 2 q^{30} - 4 q^{31} - 16 q^{33} + 2 q^{36} - 72 q^{38} + 140 q^{39} - 44 q^{41} + 44 q^{43} - 12 q^{44} + 2 q^{45} + 4 q^{46} + 70 q^{49} + 2 q^{51} + 52 q^{53} - 62 q^{54} + 10 q^{55} + 54 q^{56} - 94 q^{57} - 36 q^{58} - 44 q^{61} + 16 q^{64} - 54 q^{66} - 44 q^{67} - 30 q^{69} - 12 q^{70} - 36 q^{72} - 28 q^{73} + 24 q^{74} + 88 q^{77} - 54 q^{78} - 44 q^{79} + 16 q^{80} - 66 q^{81} - 28 q^{82} - 4 q^{83} - 4 q^{84} - 158 q^{86} + 156 q^{87} - 80 q^{89} + 8 q^{90} + 4 q^{92} + 4 q^{93} + 24 q^{94} - 2 q^{96} + 88 q^{98} - 58 q^{99}+O(q^{100}) \) 160 * q + 16 * q^4 + 16 * q^5 - 2 * q^6 - 46 * q^9 + 12 * q^11 + 12 * q^14 - 16 * q^16 - 8 * q^18 - 16 * q^20 + 70 * q^21 - 4 * q^23 + 2 * q^24 - 16 * q^25 + 42 * q^27 + 2 * q^30 - 4 * q^31 - 16 * q^33 + 2 * q^36 - 72 * q^38 + 140 * q^39 - 44 * q^41 + 44 * q^43 - 12 * q^44 + 2 * q^45 + 4 * q^46 + 70 * q^49 + 2 * q^51 + 52 * q^53 - 62 * q^54 + 10 * q^55 + 54 * q^56 - 94 * q^57 - 36 * q^58 - 44 * q^61 + 16 * q^64 - 54 * q^66 - 44 * q^67 - 30 * q^69 - 12 * q^70 - 36 * q^72 - 28 * q^73 + 24 * q^74 + 88 * q^77 - 54 * q^78 - 44 * q^79 + 16 * q^80 - 66 * q^81 - 28 * q^82 - 4 * q^83 - 4 * q^84 - 158 * q^86 + 156 * q^87 - 80 * q^89 + 8 * q^90 + 4 * q^92 + 4 * q^93 + 24 * q^94 - 2 * q^96 + 88 * q^98 - 58 * q^99

Introduction

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