LMFDB - Embedded newform 232.2.o.a.109.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [232,2,Mod(5,232)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(232, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 7, 11]))

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

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

chi := DirichletCharacter("232.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 232 = 2^{3} \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	232.o (of order $14$, degree $6$, 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:	$1.85252932689$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			109.12
Character	$\chi$	$=$	232.109
Dual form			232.2.o.a.149.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.436547 + 1.34515i) q^{2} +(1.40448 + 0.676360i) q^{3} +(-1.61885 - 1.17444i) q^{4} +(0.273986 - 0.0625356i) q^{5} +(-1.52292 + 1.59397i) q^{6} +(3.87720 + 1.86716i) q^{7} +(2.28651 - 1.66490i) q^{8} +(-0.355381 - 0.445633i) q^{9} +O(q^{10})$	\(q+(-0.436547 + 1.34515i) q^{2} +(1.40448 + 0.676360i) q^{3} +(-1.61885 - 1.17444i) q^{4} +(0.273986 - 0.0625356i) q^{5} +(-1.52292 + 1.59397i) q^{6} +(3.87720 + 1.86716i) q^{7} +(2.28651 - 1.66490i) q^{8} +(-0.355381 - 0.445633i) q^{9} +(-0.0354883 + 0.395852i) q^{10} +(-2.05522 + 2.57717i) q^{11} +(-1.47929 - 2.74440i) q^{12} +(1.52873 + 1.21912i) q^{13} +(-4.20419 + 4.40031i) q^{14} +(0.427104 + 0.0974836i) q^{15} +(1.24137 + 3.80250i) q^{16} -0.759024i q^{17} +(0.754584 - 0.283500i) q^{18} +(-3.13422 + 1.50936i) q^{19} +(-0.516988 - 0.220545i) q^{20} +(4.18256 + 5.24476i) q^{21} +(-2.56947 - 3.88964i) q^{22} +(1.59616 - 6.99322i) q^{23} +(4.33741 - 0.791808i) q^{24} +(-4.43369 + 2.13515i) q^{25} +(-2.30726 + 1.52417i) q^{26} +(-1.23835 - 5.42555i) q^{27} +(-4.08374 - 7.57621i) q^{28} +(-5.30444 + 0.928955i) q^{29} +(-0.317581 + 0.531962i) q^{30} +(9.60709 - 2.19275i) q^{31} +(-5.65685 + 0.00985374i) q^{32} +(-4.62960 + 2.22950i) q^{33} +(1.02100 + 0.331350i) q^{34} +(1.17906 + 0.269114i) q^{35} +(0.0519382 + 1.13879i) q^{36} +(1.43178 + 1.79540i) q^{37} +(-0.662079 - 4.87490i) q^{38} +(1.32250 + 2.74620i) q^{39} +(0.522356 - 0.599147i) q^{40} -5.08490i q^{41} +(-8.88087 + 3.33658i) q^{42} +(-0.191980 + 0.841121i) q^{43} +(6.35384 - 1.75831i) q^{44} +(-0.125237 - 0.0998735i) q^{45} +(8.71013 + 5.19994i) q^{46} +(-1.22739 - 0.978815i) q^{47} +(-0.828387 + 6.18013i) q^{48} +(7.18196 + 9.00589i) q^{49} +(-0.936582 - 6.89606i) q^{50} +(0.513373 - 1.06603i) q^{51} +(-1.04300 - 3.76898i) q^{52} +(3.68168 - 0.840321i) q^{53} +(7.83876 + 0.702749i) q^{54} +(-0.401938 + 0.834633i) q^{55} +(11.9739 - 2.18587i) q^{56} -5.42280 q^{57} +(1.06605 - 7.54079i) q^{58} -12.1861i q^{59} +(-0.576929 - 0.659420i) q^{60} +(-7.81380 - 3.76293i) q^{61} +(-1.24437 + 13.8802i) q^{62} +(-0.545813 - 2.39136i) q^{63} +(2.45623 - 7.61360i) q^{64} +(0.495090 + 0.238423i) q^{65} +(-0.977967 - 7.20078i) q^{66} +(12.1357 - 9.67791i) q^{67} +(-0.891431 + 1.22875i) q^{68} +(6.97170 - 8.74224i) q^{69} +(-0.876715 + 1.46854i) q^{70} +(-3.78167 + 4.74206i) q^{71} +(-1.55451 - 0.427271i) q^{72} +(-1.76835 - 0.403614i) q^{73} +(-3.04012 + 1.14219i) q^{74} -7.67113 q^{75} +(6.84649 + 1.23753i) q^{76} +(-12.7805 + 6.15476i) q^{77} +(-4.27138 + 0.580113i) q^{78} +(-3.00088 + 2.39312i) q^{79} +(0.577909 + 0.964203i) q^{80} +(1.54989 - 6.79053i) q^{81} +(6.83995 + 2.21980i) q^{82} +(0.646084 + 1.34161i) q^{83} +(-0.611273 - 13.4027i) q^{84} +(-0.0474660 - 0.207962i) q^{85} +(-1.04762 - 0.625432i) q^{86} +(-8.07826 - 2.28301i) q^{87} +(-0.408558 + 9.31444i) q^{88} +(-10.4274 + 2.38000i) q^{89} +(0.189017 - 0.124863i) q^{90} +(3.65090 + 7.58116i) q^{91} +(-10.7971 + 9.44640i) q^{92} +(14.9760 + 3.41818i) q^{93} +(1.85247 - 1.22373i) q^{94} +(-0.764344 + 0.609544i) q^{95} +(-7.95157 - 3.81222i) q^{96} +(0.639809 + 1.32858i) q^{97} +(-15.2495 + 5.72931i) q^{98} +1.87886 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q - 7 q^{2} - 3 q^{4} - 7 q^{6} - 6 q^{7} - 28 q^{8} - 34 q^{9}+O(q^{10}) $ 168 * q - 7 * q^2 - 3 * q^4 - 7 * q^6 - 6 * q^7 - 28 * q^8 - 34 * q^9	$ 168 q - 7 q^{2} - 3 q^{4} - 7 q^{6} - 6 q^{7} - 28 q^{8} - 34 q^{9} - 7 q^{10} - 7 q^{14} - 14 q^{15} + 5 q^{16} - 56 q^{18} - 27 q^{20} - 12 q^{22} - 6 q^{23} + 9 q^{24} + 14 q^{25} - 7 q^{26} + 16 q^{28} - 22 q^{30} - 14 q^{31} - 42 q^{32} + 2 q^{33} - 5 q^{34} + 4 q^{36} + 58 q^{38} + 70 q^{39} - 7 q^{40} - 32 q^{42} - 14 q^{44} - 14 q^{47} - 84 q^{48} - 26 q^{49} + 42 q^{50} + 16 q^{52} + 40 q^{54} - 14 q^{55} - 7 q^{56} - 12 q^{57} + 53 q^{58} - 126 q^{60} + 57 q^{62} + 50 q^{63} - 30 q^{64} - 60 q^{65} + 133 q^{66} - 28 q^{68} - 46 q^{71} - 119 q^{72} - 84 q^{73} - 40 q^{74} - 77 q^{76} + 29 q^{78} - 154 q^{79} + 66 q^{80} - 26 q^{81} - 48 q^{82} + 63 q^{84} - 32 q^{86} - 46 q^{87} - 10 q^{88} - 14 q^{89} + 140 q^{90} + 20 q^{92} - 26 q^{94} - 14 q^{95} + 136 q^{96} + 28 q^{98}+O(q^{100}) $ 168 * q - 7 * q^2 - 3 * q^4 - 7 * q^6 - 6 * q^7 - 28 * q^8 - 34 * q^9 - 7 * q^10 - 7 * q^14 - 14 * q^15 + 5 * q^16 - 56 * q^18 - 27 * q^20 - 12 * q^22 - 6 * q^23 + 9 * q^24 + 14 * q^25 - 7 * q^26 + 16 * q^28 - 22 * q^30 - 14 * q^31 - 42 * q^32 + 2 * q^33 - 5 * q^34 + 4 * q^36 + 58 * q^38 + 70 * q^39 - 7 * q^40 - 32 * q^42 - 14 * q^44 - 14 * q^47 - 84 * q^48 - 26 * q^49 + 42 * q^50 + 16 * q^52 + 40 * q^54 - 14 * q^55 - 7 * q^56 - 12 * q^57 + 53 * q^58 - 126 * q^60 + 57 * q^62 + 50 * q^63 - 30 * q^64 - 60 * q^65 + 133 * q^66 - 28 * q^68 - 46 * q^71 - 119 * q^72 - 84 * q^73 - 40 * q^74 - 77 * q^76 + 29 * q^78 - 154 * q^79 + 66 * q^80 - 26 * q^81 - 48 * q^82 + 63 * q^84 - 32 * q^86 - 46 * q^87 - 10 * q^88 - 14 * q^89 + 140 * q^90 + 20 * q^92 - 26 * q^94 - 14 * q^95 + 136 * q^96 + 28 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/232\mathbb{Z}\right)^\times$.

$n$	$89$	$117$	$175$
$\chi(n)$	$e\left(\frac{13}{14}\right)$	$-1$	$1$

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 $

$2$	−0.436547	+	1.34515i	−0.308686	+	0.951164i
$2$	−0.436547	+	1.34515i	−0.308686	+	0.951164i
$3$	1.40448	+	0.676360i	0.810874	+	0.390496i	0.792907	−	0.609342i	$-0.208566\pi$
$3$	1.40448	+	0.676360i	0.810874	+	0.390496i	0.0179668	+	0.999839i	$0.494281\pi$
$4$	−1.61885	−	1.17444i	−0.809426	−	0.587221i
$5$	0.273986	−	0.0625356i	0.122530	−	0.0279668i	−0.160816	−	0.986984i	$-0.551413\pi$
$5$	0.273986	−	0.0625356i	0.122530	−	0.0279668i	0.283346	+	0.959018i	$0.408555\pi$
$6$	−1.52292	+	1.59397i	−0.621731	+	0.650734i
$7$	3.87720	+	1.86716i	1.46544	+	0.705720i	0.985199	−	0.171414i	$-0.0548336\pi$
$7$	3.87720	+	1.86716i	1.46544	+	0.705720i	0.480245	+	0.877135i	$0.340548\pi$
$8$	2.28651	−	1.66490i	0.808402	−	0.588630i
$9$	−0.355381	−	0.445633i	−0.118460	−	0.148544i
$10$	−0.0354883	+	0.395852i	−0.0112224	+	0.125179i
$11$	−2.05522	+	2.57717i	−0.619673	+	0.777045i	−0.988298	−	0.152533i	$-0.951257\pi$
$11$	−2.05522	+	2.57717i	−0.619673	+	0.777045i	0.368626	+	0.929578i	$0.379828\pi$
$12$	−1.47929	−	2.74440i	−0.427035	−	0.792241i
$13$	1.52873	+	1.21912i	0.423993	+	0.338123i	0.812128	−	0.583479i	$-0.198309\pi$
$13$	1.52873	+	1.21912i	0.423993	+	0.338123i	−0.388135	+	0.921603i	$0.626880\pi$
$14$	−4.20419	+	4.40031i	−1.12362	+	1.17603i
$15$	0.427104	+	0.0974836i	0.110278	+	0.0251702i
$16$	1.24137	+	3.80250i	0.310342	+	0.950625i
$17$		−	0.759024i		−	0.184090i	−0.995755	−	0.0920452i	$-0.970660\pi$
$17$		−	0.759024i		−	0.184090i	0.995755	−	0.0920452i	$-0.0293404\pi$
$18$	0.754584	−	0.283500i	0.177857	−	0.0668216i
$19$	−3.13422	+	1.50936i	−0.719039	+	0.346271i	−0.757363	−	0.652995i	$-0.773512\pi$
$19$	−3.13422	+	1.50936i	−0.719039	+	0.346271i	0.0383239	+	0.999265i	$0.487798\pi$
$20$	−0.516988	−	0.220545i	−0.115602	−	0.0493154i
$21$	4.18256	+	5.24476i	0.912709	+	1.14450i
$22$	−2.56947	−	3.88964i	−0.547813	−	0.829273i
$23$	1.59616	−	6.99322i	0.332822	−	1.45819i	−0.480819	−	0.876820i	$-0.659660\pi$
$23$	1.59616	−	6.99322i	0.332822	−	1.45819i	0.813641	−	0.581368i	$-0.197482\pi$
$24$	4.33741	−	0.791808i	0.885371	−	0.161627i
$25$	−4.43369	+	2.13515i	−0.886737	+	0.427030i
$26$	−2.30726	+	1.52417i	−0.452492	+	0.298913i
$27$	−1.23835	−	5.42555i	−0.238320	−	1.04415i
$28$	−4.08374	−	7.57621i	−0.771755	−	1.43177i
$29$	−5.30444	+	0.928955i	−0.985009	+	0.172503i
$29$	−5.30444	+	0.928955i	−0.985009	+	0.172503i
$30$	−0.317581	+	0.531962i	−0.0579821	+	0.0971225i
$31$	9.60709	−	2.19275i	1.72548	−	0.393830i	0.759108	−	0.650965i	$-0.225635\pi$
$31$	9.60709	−	2.19275i	1.72548	−	0.393830i	0.966376	+	0.257134i	$0.0827783\pi$
$32$	−5.65685	+	0.00985374i	−0.999998	+	0.00174191i
$33$	−4.62960	+	2.22950i	−0.805910	+	0.388106i
$34$	1.02100	+	0.331350i	0.175100	+	0.0568261i
$35$	1.17906	+	0.269114i	0.199298	+	0.0454885i
$36$	0.0519382	+	1.13879i	0.00865636	+	0.189798i
$37$	1.43178	+	1.79540i	0.235384	+	0.295162i	0.885468	−	0.464700i	$-0.153838\pi$
$37$	1.43178	+	1.79540i	0.235384	+	0.295162i	−0.650084	+	0.759862i	$0.725266\pi$
$38$	−0.662079	−	4.87490i	−0.107403	−	0.790813i
$39$	1.32250	+	2.74620i	0.211769	+	0.439744i
$40$	0.522356	−	0.599147i	0.0825918	−	0.0947335i
$41$		−	5.08490i		−	0.794128i	−0.917791	−	0.397064i	$-0.870029\pi$
$41$		−	5.08490i		−	0.794128i	0.917791	−	0.397064i	$-0.129971\pi$
$42$	−8.88087	+	3.33658i	−1.37035	+	0.514845i
$43$	−0.191980	+	0.841121i	−0.0292767	+	0.128270i	−0.987454	−	0.157904i	$-0.949526\pi$
$43$	−0.191980	+	0.841121i	−0.0292767	+	0.128270i	0.958178	+	0.286174i	$0.0923835\pi$
$44$	6.35384	−	1.75831i	0.957877	−	0.265076i
$45$	−0.125237	−	0.0998735i	−0.0186693	−	0.0148883i
$46$	8.71013	+	5.19994i	1.28424	+	0.766690i
$47$	−1.22739	−	0.978815i	−0.179034	−	0.142775i	0.529873	−	0.848077i	$-0.322240\pi$
$47$	−1.22739	−	0.978815i	−0.179034	−	0.142775i	−0.708906	+	0.705302i	$0.750811\pi$
$48$	−0.828387	+	6.18013i	−0.119567	+	0.892025i
$49$	7.18196	+	9.00589i	1.02599	+	1.28656i
$50$	−0.936582	−	6.89606i	−0.132453	−	0.975251i
$51$	0.513373	−	1.06603i	0.0718867	−	0.149274i
$52$	−1.04300	−	3.76898i	−0.144638	−	0.522664i
$53$	3.68168	−	0.840321i	0.505718	−	0.115427i	0.0379528	−	0.999280i	$-0.487916\pi$
$53$	3.68168	−	0.840321i	0.505718	−	0.115427i	0.467765	+	0.883853i	$0.345059\pi$
$54$	7.83876	+	0.702749i	1.06672	+	0.0956320i
$55$	−0.401938	+	0.834633i	−0.0541973	+	0.112542i
$56$	11.9739	−	2.18587i	1.60008	−	0.292099i
$57$	−5.42280			−0.718267
$58$	1.06605	−	7.54079i	0.139980	−	0.990154i
$59$		−	12.1861i		−	1.58649i	−0.608902	−	0.793245i	$-0.708390\pi$
$59$		−	12.1861i		−	1.58649i	0.608902	−	0.793245i	$-0.291610\pi$
$60$	−0.576929	−	0.659420i	−0.0744812	−	0.0851308i
$61$	−7.81380	−	3.76293i	−1.00046	−	0.481794i	−0.139362	−	0.990241i	$-0.544505\pi$
$61$	−7.81380	−	3.76293i	−1.00046	−	0.481794i	−0.861093	+	0.508448i	$0.830220\pi$
$62$	−1.24437	+	13.8802i	−0.158035	+	1.76279i
$63$	−0.545813	−	2.39136i	−0.0687659	−	0.301283i
$64$	2.45623	−	7.61360i	0.307028	−	0.951700i
$65$	0.495090	+	0.238423i	0.0614083	+	0.0295727i
$66$	−0.977967	−	7.20078i	−0.120379	−	0.886355i
$67$	12.1357	−	9.67791i	1.48261	−	1.18234i	0.543178	−	0.839618i	$-0.317221\pi$
$67$	12.1357	−	9.67791i	1.48261	−	1.18234i	0.939435	−	0.342726i	$-0.111350\pi$
$68$	−0.891431	+	1.22875i	−0.108102	+	0.149008i
$69$	6.97170	−	8.74224i	0.839294	−	1.05244i
$70$	−0.876715	+	1.46854i	−0.104787	+	0.175524i
$71$	−3.78167	+	4.74206i	−0.448802	+	0.562779i	−0.953839	−	0.300318i	$-0.902907\pi$
$71$	−3.78167	+	4.74206i	−0.448802	+	0.562779i	0.505038	+	0.863097i	$0.331479\pi$
$72$	−1.55451	−	0.427271i	−0.183201	−	0.0503543i
$73$	−1.76835	−	0.403614i	−0.206970	−	0.0472395i	0.117779	−	0.993040i	$-0.462423\pi$
$73$	−1.76835	−	0.403614i	−0.206970	−	0.0472395i	−0.324749	+	0.945800i	$0.605280\pi$
$74$	−3.04012	+	1.14219i	−0.353407	+	0.132776i
$75$	−7.67113			−0.885786
$76$	6.84649	+	1.23753i	0.785346	+	0.141954i
$77$	−12.7805	+	6.15476i	−1.45647	+	0.701400i
$78$	−4.27138	+	0.580113i	−0.483638	+	0.0656849i
$79$	−3.00088	+	2.39312i	−0.337625	+	0.269247i	−0.777595	−	0.628766i	$-0.783561\pi$
$79$	−3.00088	+	2.39312i	−0.337625	+	0.269247i	0.439970	+	0.898013i	$0.354989\pi$
$80$	0.577909	+	0.964203i	0.0646122	+	0.107801i
$81$	1.54989	−	6.79053i	0.172210	−	0.754503i
$82$	6.83995	+	2.21980i	0.755346	+	0.245136i
$83$	0.646084	+	1.34161i	0.0709169	+	0.147260i	0.933414	−	0.358802i	$-0.116815\pi$
$83$	0.646084	+	1.34161i	0.0709169	+	0.147260i	−0.862497	+	0.506063i	$0.831100\pi$
$84$	−0.611273	−	13.4027i	−0.0666953	−	1.46235i
$85$	−0.0474660	−	0.207962i	−0.00514841	−	0.0225567i
$86$	−1.04762	−	0.625432i	−0.112968	−	0.0674420i
$87$	−8.07826	−	2.28301i	−0.866080	−	0.244765i
$88$	−0.408558	+	9.31444i	−0.0435524	+	0.992923i
$89$	−10.4274	+	2.38000i	−1.10531	+	0.252279i	−0.735968	−	0.677016i	$-0.763273\pi$
$89$	−10.4274	+	2.38000i	−1.10531	+	0.252279i	−0.369338	+	0.929295i	$0.620416\pi$
$90$	0.189017	−	0.124863i	0.0199241	−	0.0131618i
$91$	3.65090	+	7.58116i	0.382718	+	0.794722i
$92$	−10.7971	+	9.44640i	−1.12567	+	0.984856i
$93$	14.9760	+	3.41818i	1.55294	+	0.354448i
$94$	1.85247	−	1.22373i	0.191067	−	0.126218i
$95$	−0.764344	+	0.609544i	−0.0784200	+	0.0625379i
$96$	−7.95157	−	3.81222i	−0.811553	−	0.389083i
$97$	0.639809	+	1.32858i	0.0649627	+	0.134897i	0.930922	−	0.365218i	$-0.119006\pi$
$97$	0.639809	+	1.32858i	0.0649627	+	0.134897i	−0.865959	+	0.500114i	$0.833291\pi$
$98$	−15.2495	+	5.72931i	−1.54044	+	0.578747i
$99$	1.87886			0.188832
$100$	9.68510	+	1.75062i	0.968510	+	0.175062i
$101$	−1.71075	+	7.49530i	−0.170226	+	0.745810i	0.815679	+	0.578505i	$0.196364\pi$
$101$	−1.71075	+	7.49530i	−0.170226	+	0.745810i	−0.985905	+	0.167305i	$0.946493\pi$
$102$	1.20986	+	1.15594i	0.119794	+	0.114455i
$103$	3.55281	−	4.45508i	0.350069	−	0.438972i	−0.575356	−	0.817903i	$-0.695137\pi$
$103$	3.55281	−	4.45508i	0.350069	−	0.438972i	0.925425	+	0.378931i	$0.123708\pi$
$104$	5.52516	+	0.242349i	0.541787	+	0.0237643i
$105$	1.47395	+	1.17543i	0.143843	+	0.114711i
$106$	−0.476874	+	5.31926i	−0.0463181	+	0.516652i
$107$	−5.81355	+	4.63615i	−0.562017	+	0.448194i	−0.862833	−	0.505488i	$-0.831312\pi$
$107$	−5.81355	+	4.63615i	−0.562017	+	0.448194i	0.300816	+	0.953682i	$0.402741\pi$
$108$	−4.36729	+	10.2375i	−0.420243	+	0.985106i
$109$	1.10519	−	2.29495i	0.105858	−	0.219816i	−0.841311	−	0.540551i	$-0.818216\pi$
$109$	1.10519	−	2.29495i	0.105858	−	0.219816i	0.947169	+	0.320735i	$0.103930\pi$
$110$	−0.947241	−	0.905023i	−0.0903159	−	0.0862906i
$111$	0.796569	+	3.49000i	0.0756069	+	0.331256i
$112$	−2.28685	+	17.0609i	−0.216087	+	1.61210i
$113$	−1.82293	+	3.78535i	−0.171487	+	0.356096i	−0.968944	−	0.247279i	$-0.920463\pi$
$113$	−1.82293	+	3.78535i	−0.171487	+	0.356096i	0.797458	+	0.603375i	$0.206178\pi$
$114$	2.36731	−	7.29448i	0.221719	−	0.683190i
$115$		−	2.01586i		−	0.187980i
$116$	9.67811	+	4.72592i	0.898590	+	0.438790i
$117$		−	1.11450i		−	0.103036i
$118$	16.3921	+	5.31980i	1.50901	+	0.489727i
$119$	1.41722	−	2.94289i	0.129916	−	0.269774i
$120$	1.13888	−	0.488187i	0.103965	−	0.0445652i
$121$	0.0298792	+	0.130909i	0.00271629	+	0.0119009i
$122$	8.47280	−	8.86804i	0.767091	−	0.802874i
$123$	3.43922	−	7.14162i	0.310104	−	0.643938i
$124$	−18.1277	−	7.73323i	−1.62792	−	0.694464i
$125$	−2.17985	+	1.73837i	−0.194971	+	0.155484i
$126$	3.45501	+	0.309743i	0.307797	+	0.0275941i
$127$	−9.63566	−	7.68418i	−0.855027	−	0.681861i	0.0945077	−	0.995524i	$-0.469872\pi$
$127$	−9.63566	−	7.68418i	−0.855027	−	0.681861i	−0.949534	+	0.313663i	$0.898444\pi$
$128$	9.16917	+	6.62769i	0.810448	+	0.585811i
$129$	−0.838532	+	1.05149i	−0.0738286	+	0.0925782i
$130$	−0.536844	+	0.561887i	−0.0470843	+	0.0492807i
$131$	−3.59491	+	15.7503i	−0.314088	+	1.37611i	0.533654	+	0.845703i	$0.320818\pi$
$131$	−3.59491	+	15.7503i	−0.314088	+	1.37611i	−0.847742	+	0.530408i	$0.822039\pi$
$132$	10.1131	+	1.82797i	0.880229	+	0.159105i
$133$	−14.9702			−1.29808
$134$	7.72041	+	20.5492i	0.666942	+	1.77518i
$135$	−0.678579	−	1.40908i	−0.0584028	−	0.121275i
$136$	−1.26370	−	1.73551i	−0.108361	−	0.148819i
$137$	−12.6916	+	10.1212i	−1.08431	+	0.864711i	−0.991387	−	0.130962i	$-0.958193\pi$
$137$	−12.6916	+	10.1212i	−1.08431	+	0.864711i	−0.0929256	+	0.995673i	$0.529622\pi$
$138$	8.71613	+	13.1944i	0.741967	+	1.12318i
$139$	−18.4326	−	4.20712i	−1.56343	−	0.356843i	−0.648745	−	0.761006i	$-0.724706\pi$
$139$	−18.4326	−	4.20712i	−1.56343	−	0.356843i	−0.914687	+	0.404162i	$0.867563\pi$
$140$	−1.59267	−	1.82040i	−0.134605	−	0.153852i
$141$	−1.06182	−	2.20488i	−0.0894210	−	0.185685i
$142$	−4.72790	−	7.15704i	−0.396757	−	0.600606i
$143$	−6.28376	+	1.43423i	−0.525474	+	0.119936i
$144$	1.25336	−	1.90453i	0.104447	−	0.158711i
$145$	−1.39525	+	0.586237i	−0.115869	+	0.0486843i
$146$	1.31489	−	2.20250i	0.108821	−	0.182280i
$147$	3.99566	+	17.5061i	0.329557	+	1.44388i
$148$	−0.209252	−	4.58804i	−0.0172004	−	0.377134i
$149$	−4.37265	−	9.07989i	−0.358221	−	0.743854i	0.641508	−	0.767116i	$-0.278309\pi$
$149$	−4.37265	−	9.07989i	−0.358221	−	0.743854i	−0.999729	+	0.0232622i	$0.992595\pi$
$150$	3.34881	−	10.3188i	0.273429	−	0.842528i
$151$	−4.04977	+	17.7432i	−0.329565	+	1.44392i	0.490395	+	0.871500i	$0.336852\pi$
$151$	−4.04977	+	17.7432i	−0.329565	+	1.44392i	−0.819961	+	0.572420i	$0.806005\pi$
$152$	−4.65348	+	8.66931i	−0.377447	+	0.703174i
$153$	−0.338246	+	0.269743i	−0.0273456	+	0.0218074i
$154$	−2.69978	−	19.8785i	−0.217554	−	1.60186i
$155$	2.49508	−	1.20157i	0.200410	−	0.0965124i
$156$	1.08432	−	5.99889i	0.0868151	−	0.480295i
$157$	19.5986			1.56414			0.782070	−	0.623190i	$-0.214164\pi$
$157$	19.5986			1.56414			0.782070	+	0.623190i	$0.214164\pi$
$158$	−1.90908	−	5.08134i	−0.151878	−	0.404249i
$159$	5.73919	+	1.30993i	0.455148	+	0.103885i
$160$	−1.54928	+	0.356454i	−0.122482	+	0.0281802i
$161$	19.2461	−	24.1338i	1.51681	−	1.90201i
$162$	8.45767	+	5.04922i	0.664497	+	0.396705i
$163$	−3.43211	+	4.30373i	−0.268824	+	0.337094i	−0.897859	−	0.440282i	$-0.854878\pi$
$163$	−3.43211	+	4.30373i	−0.268824	+	0.337094i	0.629036	+	0.777376i	$0.283450\pi$
$164$	−5.97193	+	8.23171i	−0.466329	+	0.642788i
$165$	−1.12902	+	0.900367i	−0.0878944	+	0.0700935i
$166$	−2.08671	+	0.283404i	−0.161960	+	0.0219964i
$167$	16.8359	+	8.10775i	1.30280	+	0.627396i	0.951148	−	0.308734i	$-0.0999052\pi$
$167$	16.8359	+	8.10775i	1.30280	+	0.627396i	0.351654	+	0.936130i	$0.385620\pi$
$168$	18.2954	+	5.02865i	1.41152	+	0.387969i
$169$	−2.04201	−	8.94665i	−0.157078	−	0.688204i
$170$	0.300461	+	0.0269365i	0.0230443	+	0.00206594i
$171$	1.78646	+	0.860314i	0.136614	+	0.0657899i
$172$	1.29864	−	1.13618i	0.0990201	−	0.0866330i
$173$		−	6.98188i		−	0.530823i	−0.964135	−	0.265411i	$-0.914492\pi$
$173$		−	6.98188i		−	0.530823i	0.964135	−	0.265411i	$-0.0855078\pi$
$174$	6.59753	−	9.86982i	0.500158	−	0.748229i
$175$	−21.1770			−1.60083
$176$	−12.3510	−	4.61577i	−0.930989	−	0.347927i
$177$	8.24216	−	17.1150i	0.619519	−	1.28644i
$178$	1.35062	−	15.0654i	0.101234	−	1.12920i
$179$	10.8987	−	2.48755i	0.814604	−	0.185928i	0.205131	−	0.978735i	$-0.434238\pi$
$179$	10.8987	−	2.48755i	0.814604	−	0.185928i	0.609473	+	0.792806i	$0.291381\pi$
$180$	0.0854452	+	0.308765i	0.00636871	+	0.0230140i
$181$	0.345832	−	0.718127i	0.0257055	−	0.0533779i	−0.887721	−	0.460382i	$-0.847712\pi$
$181$	0.345832	−	0.718127i	0.0257055	−	0.0533779i	0.913426	+	0.407004i	$0.133427\pi$
$182$	−11.7916	+	1.60146i	−0.874050	+	0.118708i
$183$	−8.42920	−	10.5699i	−0.623105	−	0.781348i
$184$	−7.99338	−	18.6475i	−0.589280	−	1.37471i
$185$	0.504565	+	0.402377i	0.0370964	+	0.0295834i
$186$	−11.1357	+	18.6528i	−0.816509	+	1.36769i
$187$	1.95613	+	1.55996i	0.143047	+	0.114076i
$188$	0.837410	+	3.02606i	0.0610744	+	0.220698i
$189$	5.32905	−	23.3481i	0.387632	−	1.69833i
$190$	−0.486255	−	1.29425i	−0.0352767	−	0.0938949i
$191$			9.28625i			0.671929i	0.941875	+	0.335965i	$0.109062\pi$
$191$			9.28625i			0.671929i	−0.941875	+	0.335965i	$0.890938\pi$
$192$	8.59924	−	9.03183i	0.620597	−	0.651816i
$193$	7.49803	+	15.5698i	0.539720	+	1.12074i	0.975360	+	0.220619i	$0.0708077\pi$
$193$	7.49803	+	15.5698i	0.539720	+	1.12074i	−0.435640	+	0.900121i	$0.643478\pi$
$194$	−2.06644	+	0.280652i	−0.148362	+	0.0201496i
$195$	0.534082	+	0.669717i	0.0382464	+	0.0479594i
$196$	−1.04963	−	23.0140i	−0.0749735	−	1.64386i
$197$	5.99250	+	1.36775i	0.426948	+	0.0974481i	0.430595	−	0.902545i	$-0.358304\pi$
$197$	5.99250	+	1.36775i	0.426948	+	0.0974481i	−0.00364703	+	0.999993i	$0.501161\pi$
$198$	−0.820210	+	2.52734i	−0.0582898	+	0.179610i
$199$	9.73829	−	4.68971i	0.690329	−	0.332445i	−0.0556163	−	0.998452i	$-0.517712\pi$
$199$	9.73829	−	4.68971i	0.690329	−	0.332445i	0.745945	+	0.666007i	$0.231998\pi$
$200$	−6.58285	+	12.2637i	−0.465477	+	0.867173i
$201$	23.5901	−	5.38428i	1.66391	−	0.379777i
$202$	−9.33547	−	5.57327i	−0.656841	−	0.392134i
$203$	−22.3009	−	6.30249i	−1.56521	−	0.442348i
$204$	−2.08307	+	1.12282i	−0.145844	+	0.0786131i
$205$	−0.317987	−	1.39319i	−0.0222092	−	0.0973049i
$206$	4.44178	+	6.72391i	0.309473	+	0.468477i
$207$	−3.68366	+	1.77396i	−0.256032	+	0.123298i
$208$	−2.73799	+	7.32637i	−0.189846	+	0.507993i
$209$	2.55164	−	11.1795i	0.176501	−	0.773300i
$210$	−2.22458	+	1.46955i	−0.153511	+	0.101408i
$211$	12.1012	+	15.1744i	0.833079	+	1.04465i	0.998294	+	0.0583900i	$0.0185967\pi$
$211$	12.1012	+	15.1744i	0.833079	+	1.04465i	−0.165215	+	0.986258i	$0.552832\pi$
$212$	−6.94701	−	2.96357i	−0.477123	−	0.203539i
$213$	−8.51860	+	4.10234i	−0.583685	+	0.281088i
$214$	−3.69843	−	9.84399i	−0.252819	−	0.672922i
$215$			0.242461i			0.0165357i
$216$	−11.8645	−	10.3438i	−0.807275	−	0.703808i
$217$	41.3428	+	9.43623i	2.80653	+	0.640573i
$218$	2.60458	+	2.48850i	0.176404	+	0.168542i
$219$	−2.21062	−	1.76291i	−0.149380	−	0.119126i
$220$	1.63091	−	0.879094i	0.109956	−	0.0592685i
$221$	0.925343	−	1.16034i	0.0622453	−	0.0780531i
$222$	−5.04230	−	0.452045i	−0.338417	−	0.0303393i
$223$	8.28279	+	10.3863i	0.554657	+	0.695518i	0.977560	−	0.210657i	$-0.0675604\pi$
$223$	8.28279	+	10.3863i	0.554657	+	0.695518i	−0.422903	+	0.906175i	$0.638989\pi$
$224$	−21.9511	−	10.5240i	−1.46667	−	0.703167i
$225$	2.52714	+	1.21701i	0.168476	+	0.0811338i
$226$	−4.29606	−	4.10459i	−0.285770	−	0.273033i
$227$	28.0389	−	6.39970i	1.86101	−	0.424763i	0.864098	−	0.503324i	$-0.167890\pi$
$227$	28.0389	−	6.39970i	1.86101	−	0.424763i	0.996909	+	0.0785613i	$0.0250326\pi$
$228$	8.77871	+	6.36877i	0.581385	+	0.421782i
$229$	−16.6224	−	8.00493i	−1.09844	−	0.528981i	−0.205272	−	0.978705i	$-0.565808\pi$
$229$	−16.6224	−	8.00493i	−1.09844	−	0.528981i	−0.893167	+	0.449724i	$0.851522\pi$
$230$	2.71164	+	0.880020i	0.178800	+	0.0580268i
$231$	−22.1127			−1.45491
$232$	−10.5820	+	10.9554i	−0.694743	+	0.719258i
$233$	−22.9983			−1.50667			−0.753335	−	0.657637i	$-0.771556\pi$
$233$	−22.9983			−1.50667			−0.753335	+	0.657637i	$0.771556\pi$
$234$	1.49918	+	0.486534i	0.0980042	+	0.0318057i
$235$	−0.397500	−	0.191426i	−0.0259301	−	0.0124873i
$236$	−14.3118	+	19.7274i	−0.931621	+	1.28415i
$237$	−5.83327	+	1.33141i	−0.378911	+	0.0864841i
$238$	3.33994	+	3.19108i	0.216496	+	0.206847i
$239$	22.0456	+	10.6166i	1.42601	+	0.686731i	0.978252	−	0.207422i	$-0.0665074\pi$
$239$	22.0456	+	10.6166i	1.42601	+	0.686731i	0.447761	+	0.894153i	$0.352222\pi$
$240$	0.159511	+	1.74507i	0.0102964	+	0.112644i
$241$	3.70854	+	4.65036i	0.238888	+	0.299556i	0.886795	−	0.462164i	$-0.152927\pi$
$241$	3.70854	+	4.65036i	0.238888	+	0.299556i	−0.647907	+	0.761720i	$0.724355\pi$
$242$	−0.189136	−	0.0169562i	−0.0121582	−	0.00108998i
$243$	−3.63967	+	4.56401i	−0.233485	+	0.292781i
$244$	8.23005	+	15.2685i	0.526875	+	0.977465i
$245$	2.53095	+	2.01836i	0.161696	+	0.128948i
$246$	8.10516	+	7.74392i	0.516766	+	0.493734i
$247$	−6.63146	−	1.51359i	−0.421950	−	0.0963073i
$248$	18.3160	−	21.0086i	1.16306	−	1.33405i
$249$			2.32124i			0.147103i
$250$	−1.38676	−	3.69110i	−0.0877064	−	0.233446i
$251$	19.5441	−	9.41194i	1.23361	−	0.594076i	0.300541	−	0.953769i	$-0.402833\pi$
$251$	19.5441	−	9.41194i	1.23361	−	0.594076i	0.933071	+	0.359693i	$0.117118\pi$
$252$	−1.92493	+	4.51229i	−0.121259	+	0.284247i
$253$	14.7422	+	18.4862i	0.926837	+	1.16222i
$254$	14.5428	−	9.60689i	0.912496	−	0.602790i
$255$	0.0739924	−	0.324182i	0.00463359	−	0.0203011i
$256$	−12.9180	+	9.44060i	−0.807376	+	0.590038i
$257$	−19.8621	+	9.56506i	−1.23896	+	0.596652i	−0.934531	−	0.355882i	$-0.884180\pi$
$257$	−19.8621	+	9.56506i	−1.23896	+	0.596652i	−0.304430	+	0.952535i	$0.598466\pi$
$258$	−1.04835	−	1.58697i	−0.0652672	−	0.0988007i
$259$	2.19901	+	9.63449i	0.136640	+	0.598658i
$260$	−0.521463	−	0.967425i	−0.0323398	−	0.0599972i
$261$	2.29907	+	2.03370i	0.142309	+	0.125883i
$262$	−19.6172	−	11.7114i	−1.21195	−	0.723535i
$263$	2.32414	−	0.530471i	0.143313	−	0.0327102i	−0.150263	−	0.988646i	$-0.548012\pi$
$263$	2.32414	−	0.530471i	0.143313	−	0.0327102i	0.293576	+	0.955936i	$0.405155\pi$
$264$	−6.87372	+	12.8056i	−0.423049	+	0.788129i
$265$	0.956181	−	0.460473i	0.0587378	−	0.0282866i
$266$	6.53520	−	20.1372i	0.400699	−	1.23469i
$267$	−16.2548	−	3.71006i	−0.994779	−	0.227052i
$268$	−31.0121	+	1.41441i	−1.89436	+	0.0863986i
$269$	−4.53064	−	5.68125i	−0.276238	−	0.346392i	0.624287	−	0.781195i	$-0.285389\pi$
$269$	−4.53064	−	5.68125i	−0.276238	−	0.346392i	−0.900526	+	0.434803i	$0.856818\pi$
$270$	2.19166	−	0.297658i	0.133380	−	0.0181149i
$271$	−7.75472	−	16.1028i	−0.471065	−	0.978178i	−0.992195	−	0.124700i	$-0.960203\pi$
$271$	−7.75472	−	16.1028i	−0.471065	−	0.978178i	0.521129	−	0.853478i	$-0.325511\pi$
$272$	2.88619	−	0.942229i	0.175001	−	0.0571310i
$273$			13.1169i			0.793869i
$274$	−8.07403	−	21.4904i	−0.487770	−	1.29828i
$275$	3.60957	−	15.8146i	0.217665	−	0.953654i
$276$	−21.5534	+	5.96453i	−1.29736	+	0.359022i
$277$	−7.25216	−	5.78341i	−0.435740	−	0.347491i	0.380922	−	0.924607i	$-0.375607\pi$
$277$	−7.25216	−	5.78341i	−0.435740	−	0.347491i	−0.816662	+	0.577116i	$0.804178\pi$
$278$	13.7059	−	22.9580i	0.822026	−	1.37693i
$279$	−4.39134	−	3.50197i	−0.262902	−	0.209658i
$280$	3.14398	−	1.34769i	0.187889	−	0.0805399i
$281$	−11.5773	−	14.5175i	−0.690647	−	0.866043i	0.305640	−	0.952147i	$-0.401130\pi$
$281$	−11.5773	−	14.5175i	−0.690647	−	0.866043i	−0.996286	+	0.0861038i	$0.972558\pi$
$282$	3.42943	−	0.465764i	0.204219	−	0.0277359i
$283$	−11.3572	+	23.5834i	−0.675113	+	1.40189i	0.228503	+	0.973543i	$0.426617\pi$
$283$	−11.3572	+	23.5834i	−0.675113	+	1.40189i	−0.903616	+	0.428344i	$0.859097\pi$
$284$	11.6912	−	3.23535i	0.693748	−	0.191983i
$285$	−1.48577	+	0.339118i	−0.0880096	+	0.0200876i
$286$	0.813909	−	9.07870i	0.0481275	−	0.536835i
$287$	9.49433	−	19.7152i	0.560433	−	1.16375i
$288$	2.01472	+	2.51738i	0.118719	+	0.148338i
$289$	16.4239			0.966111
$290$	−0.179483	−	2.13274i	−0.0105396	−	0.125239i
$291$			2.29869i			0.134752i
$292$	2.38868	+	2.73022i	0.139787	+	0.159774i
$293$	0.209612	+	0.100944i	0.0122457	+	0.00589720i	0.439997	−	0.897999i	$-0.354980\pi$
$293$	0.209612	+	0.100944i	0.0122457	+	0.00589720i	−0.427751	+	0.903897i	$0.640694\pi$
$294$	−25.2927	−	2.26750i	−1.47510	−	0.132243i
$295$	−0.762063	−	3.33882i	−0.0443690	−	0.194393i
$296$	6.26294	+	1.72142i	0.364026	+	0.100055i
$297$	16.5276	+	7.95928i	0.959029	+	0.461844i
$298$	14.1227	−	1.91806i	0.818105	−	0.111110i
$299$	10.9657	−	8.74484i	0.634162	−	0.505727i
$300$	12.4184	+	9.00931i	0.716979	+	0.520153i
$301$	−2.31485	+	2.90274i	−0.133426	+	0.167311i
$302$	−22.0993	−	13.1933i	−1.27167	−	0.759188i
$303$	−7.47223	+	9.36988i	−0.429268	+	0.538285i
$304$	−9.63005	−	10.0442i	−0.552322	−	0.576074i
$305$	−2.37619	−	0.542350i	−0.136060	−	0.0310549i
$306$	−0.215183	−	0.572747i	−0.0123012	−	0.0327418i
$307$	−4.66202			−0.266075			−0.133038	−	0.991111i	$-0.542473\pi$
$307$	−4.66202			−0.266075			−0.133038	+	0.991111i	$0.542473\pi$
$308$	27.9181	+	5.04631i	1.59078	+	0.287540i
$309$	8.00307	−	3.85408i	0.455279	−	0.219251i
$310$	0.527067	+	3.88080i	0.0299354	+	0.220415i
$311$	1.21368	−	0.967878i	0.0688215	−	0.0548833i	−0.588475	−	0.808516i	$-0.700271\pi$
$311$	1.21368	−	0.967878i	0.0688215	−	0.0548833i	0.657296	+	0.753632i	$0.271700\pi$
$312$	7.59604	+	4.07737i	0.430041	+	0.230836i
$313$	5.10174	−	22.3522i	0.288368	−	1.26342i	−0.598397	−	0.801200i	$-0.704196\pi$
$313$	5.10174	−	22.3522i	0.288368	−	1.26342i	0.886765	−	0.462221i	$-0.152947\pi$
$314$	−8.55573	+	26.3631i	−0.482828	+	1.48775i
$315$	−0.299090	−	0.621068i	−0.0168518	−	0.0349932i
$316$	7.66856	−	0.349750i	0.431390	−	0.0196749i
$317$	7.72799	+	33.8585i	0.434047	+	1.90168i	0.432392	+	0.901686i	$0.357670\pi$
$317$	7.72799	+	33.8585i	0.434047	+	1.90168i	0.00165458	+	0.999999i	$0.499473\pi$
$318$	−4.26749	+	7.14823i	−0.239309	+	0.400853i
$319$	8.50772	−	15.5796i	0.476341	−	0.872292i
$320$	0.196851	−	2.23962i	0.0110043	−	0.125199i
$321$	−11.3007	+	2.57931i	−0.630743	+	0.143963i
$322$	24.0618	+	36.4244i	1.34091	+	2.02985i
$323$	1.14564	+	2.37895i	0.0637451	+	0.132368i
$324$	−10.4841	+	9.17260i	−0.582452	+	0.509589i
$325$	−9.38092	−	2.14113i	−0.520360	−	0.118769i
$326$	−4.29088	−	6.49548i	−0.237650	−	0.359751i
$327$	3.10442	−	2.47569i	0.171675	−	0.136906i
$328$	−8.46584	−	11.6267i	−0.467448	−	0.641975i
$329$	−2.93125	−	6.08680i	−0.161605	−	0.335576i
$330$	−0.718255	−	1.91176i	−0.0395386	−	0.105239i
$331$	−15.2827			−0.840013			−0.420007	−	0.907521i	$-0.637972\pi$
$331$	−15.2827			−0.840013			−0.420007	+	0.907521i	$0.637972\pi$
$332$	0.529726	−	2.93065i	0.0290725	−	0.160840i
$333$	0.291262	−	1.27610i	0.0159610	−	0.0699299i
$334$	−18.2558	+	19.1074i	−0.998913	+	1.04551i
$335$	2.71980	−	3.41053i	0.148599	−	0.186337i
$336$	−14.7511	+	22.4149i	−0.804739	+	1.22283i
$337$	12.1517	+	9.69069i	0.661948	+	0.527886i	0.895840	−	0.444377i	$-0.146575\pi$
$337$	12.1517	+	9.69069i	0.661948	+	0.527886i	−0.233892	+	0.972263i	$0.575146\pi$
$338$	12.9260	+	1.15882i	0.703082	+	0.0630316i
$339$	−5.12051	+	4.08347i	−0.278108	+	0.221784i
$340$	−0.167399	+	0.392406i	−0.00907850	+	0.0212812i
$341$	−14.0936	+	29.2657i	−0.763211	+	1.58482i
$342$	−1.93713	+	2.02749i	−0.104748	+	0.109634i
$343$	4.32731	+	18.9592i	0.233653	+	1.02370i
$344$	0.961417	+	2.24286i	0.0518361	+	0.120927i
$345$	1.36345	−	2.83123i	0.0734057	−	0.152428i
$346$	9.39168	+	3.04792i	0.504900	+	0.163857i
$347$		−	14.0167i		−	0.752455i	−0.926527	−	0.376227i	$-0.877221\pi$
$347$		−	14.0167i		−	0.752455i	0.926527	−	0.376227i	$-0.122779\pi$
$348$	10.3962	+	13.1833i	0.557297	+	0.706700i
$349$			29.2468i			1.56555i	0.622307	+	0.782773i	$0.286196\pi$
$349$			29.2468i			1.56555i	−0.622307	+	0.782773i	$0.713804\pi$
$350$	9.24475	−	28.4862i	0.494152	−	1.52265i
$351$	4.72130	−	9.80389i	0.252005	−	0.523293i
$352$	11.6007	−	14.5989i	0.618318	−	0.778123i
$353$	1.60562	+	7.03470i	0.0854587	+	0.374419i	0.999514	−	0.0311703i	$-0.00992343\pi$
$353$	1.60562	+	7.03470i	0.0854587	+	0.374419i	−0.914055	+	0.405589i	$0.867066\pi$
$354$	19.4242	+	18.5585i	1.03238	+	0.986371i
$355$	−0.739578	+	1.53575i	−0.0392527	+	0.0815091i
$356$	19.6757	+	8.39357i	1.04281	+	0.444858i
$357$	3.98090	−	3.17466i	0.210692	−	0.168021i
$358$	−1.41166	+	15.7463i	−0.0746085	+	0.832216i
$359$	−3.84390	−	3.06541i	−0.202873	−	0.161786i	0.516783	−	0.856116i	$-0.327129\pi$
$359$	−3.84390	−	3.06541i	−0.202873	−	0.161786i	−0.719656	+	0.694330i	$0.755701\pi$
$360$	−0.452635	−	0.0198539i	−0.0238560	−	0.00104639i
$361$	−4.30116	+	5.39348i	−0.226377	+	0.283867i
$362$	0.815016	+	0.778691i	0.0428363	+	0.0409271i
$363$	−0.0465772	+	0.204068i	−0.00244467	+	0.0107108i
$364$	2.99338	−	16.5606i	0.156896	−	0.868009i
$365$	−0.509744			−0.0266812
$366$	17.8978	−	6.72428i	0.935534	−	0.351484i
$367$	14.4552	+	30.0166i	0.754557	+	1.56685i	0.822236	+	0.569147i	$0.192726\pi$
$367$	14.4552	+	30.0166i	0.754557	+	1.56685i	−0.0676787	+	0.997707i	$0.521559\pi$
$368$	28.5732	−	2.61178i	1.48948	−	0.136148i
$369$	−2.26600	+	1.80708i	−0.117963	+	0.0940726i
$370$	−0.761525	+	0.503059i	−0.0395898	+	0.0261528i
$371$	15.8436	+	3.61621i	0.822561	+	0.187744i
$372$	−20.2295	−	23.1220i	−1.04885	−	1.19882i
$373$	−12.3421	−	25.6287i	−0.639052	−	1.32701i	−0.929041	−	0.369976i	$-0.879366\pi$
$373$	−12.3421	−	25.6287i	−0.639052	−	1.32701i	0.289989	−	0.957030i	$-0.406348\pi$
$374$	−2.95233	+	1.95029i	−0.152661	+	0.100847i
$375$	−4.23730	+	0.967137i	−0.218813	+	0.0499427i
$376$	−4.43607	−	0.194579i	−0.228773	−	0.0100346i
$377$	−9.24156	−	5.04663i	−0.475965	−	0.259915i
$378$	29.0803	+	17.3609i	1.49573	+	0.892950i
$379$	0.616892	+	2.70278i	0.0316876	+	0.138832i	0.988297	−	0.152540i	$-0.0487453\pi$
$379$	0.616892	+	2.70278i	0.0316876	+	0.138832i	−0.956610	+	0.291372i	$0.905888\pi$
$380$	1.95323	−	0.0890836i	0.100199	−	0.00456989i
$381$	−8.33578	−	17.3094i	−0.427055	−	0.886788i
$382$	−12.4914	−	4.05389i	−0.639115	−	0.207415i
$383$	−3.57206	+	15.6502i	−0.182524	+	0.799688i	0.797900	+	0.602789i	$0.205944\pi$
$383$	−3.57206	+	15.6502i	−0.182524	+	0.799688i	−0.980424	+	0.196898i	$0.936913\pi$
$384$	8.39517	+	15.5101i	0.428414	+	0.791496i
$385$	−3.11679	+	2.48556i	−0.158846	+	0.126676i
$386$	−24.2170	+	3.28900i	−1.23261	+	0.167406i
$387$	0.443058	−	0.213365i	0.0225219	−	0.0108460i
$388$	0.524581	−	2.90219i	0.0266316	−	0.147336i
$389$	16.8290			0.853265			0.426632	−	0.904425i	$-0.359700\pi$
$389$	16.8290			0.853265			0.426632	+	0.904425i	$0.359700\pi$
$390$	−1.13402	+	0.426056i	−0.0574234	+	0.0215742i
$391$	−5.30803	−	1.21152i	−0.268439	−	0.0612693i
$392$	31.4155	+	8.63480i	1.58672	+	0.436123i
$393$	−15.7018	+	19.6895i	−0.792053	+	0.993203i
$394$	−4.45584	+	7.46372i	−0.224482	+	0.376017i
$395$	−0.672544	+	0.843344i	−0.0338394	+	0.0424332i
$396$	−3.04159	−	2.20661i	−0.152846	−	0.110886i
$397$	−5.41434	+	4.31779i	−0.271738	+	0.216704i	−0.749872	−	0.661583i	$-0.769885\pi$
$397$	−5.41434	+	4.31779i	−0.271738	+	0.216704i	0.478134	+	0.878287i	$0.341313\pi$
$398$	2.05714	+	15.1467i	0.103115	+	0.759237i
$399$	−21.0253	−	10.1252i	−1.05258	−	0.506896i
$400$	−13.6227	−	14.2086i	−0.681137	−	0.710429i
$401$	−2.11250	−	9.25547i	−0.105493	−	0.462196i	−0.999889	−	0.0149190i	$-0.995251\pi$
$401$	−2.11250	−	9.25547i	−0.105493	−	0.462196i	0.894395	−	0.447277i	$-0.147606\pi$
$402$	−3.05552	+	34.0826i	−0.152396	+	1.69989i
$403$	17.3599	+	8.36007i	0.864757	+	0.416445i
$404$	11.5723	−	10.1246i	0.575741	−	0.503718i
$405$		−	1.95743i		−	0.0972657i
$406$	18.2132	−	27.2467i	0.903905	−	1.35223i
$407$	−7.56968			−0.375215
$408$	−0.601001	−	3.29220i	−0.0297540	−	0.162988i
$409$	−3.80128	+	7.89344i	−0.187961	+	0.390306i	−0.973560	−	0.228430i	$-0.926641\pi$
$409$	−3.80128	+	7.89344i	−0.187961	+	0.390306i	0.785599	+	0.618736i	$0.212355\pi$
$410$	2.01287	+	0.180455i	0.0994085	+	0.00891202i
$411$	−24.6705	+	5.63089i	−1.21691	+	0.277751i
$412$	−10.9837	+	3.03955i	−0.541129	+	0.149748i
$413$	22.7533	−	47.2478i	1.11962	−	2.32491i
$414$	−0.778144	−	5.72948i	−0.0382437	−	0.281589i
$415$	0.260916	+	0.327179i	0.0128079	+	0.0160606i
$416$	−8.65980	−	6.88132i	−0.424582	−	0.337384i
$417$	−23.0426	−	18.3759i	−1.12840	−	0.899870i
$418$	13.9241	+	8.31270i	0.681052	+	0.406588i
$419$	12.0635	+	9.62035i	0.589342	+	0.469985i	0.872181	−	0.489182i	$-0.162705\pi$
$419$	12.0635	+	9.62035i	0.589342	+	0.469985i	−0.282839	+	0.959167i	$0.591276\pi$
$420$	−1.00562	−	3.63392i	−0.0490695	−	0.177317i
$421$	3.82271	−	16.7484i	0.186307	−	0.816265i	−0.792234	−	0.610217i	$-0.791082\pi$
$421$	3.82271	−	16.7484i	0.186307	−	0.816265i	0.978542	−	0.206049i	$-0.0660605\pi$
$422$	−25.6945	+	9.65354i	−1.25079	+	0.469927i
$423$			0.894820i			0.0435076i
$424$	7.01915	−	8.05103i	0.340880	−	0.390993i
$425$	1.62063	+	3.36528i	0.0786122	+	0.163240i
$426$	−1.79949	−	13.2497i	−0.0871855	−	0.641948i
$427$	−23.2697	−	29.1793i	−1.12610	−	1.41208i
$428$	14.8562	−	0.677564i	0.718101	−	0.0327513i
$429$	−9.79544	−	2.23574i	−0.472928	−	0.107943i
$430$	−0.326147	−	0.105846i	−0.0157282	−	0.00510434i
$431$	0.425084	−	0.204710i	0.0204756	−	0.00986052i	−0.423618	−	0.905841i	$-0.639240\pi$
$431$	0.425084	−	0.204710i	0.0204756	−	0.00986052i	0.444094	+	0.895980i	$0.353526\pi$
$432$	19.0934	−	11.4439i	0.918631	−	0.550595i
$433$	−37.8591	+	8.64110i	−1.81939	+	0.415265i	−0.989724	−	0.142989i	$-0.954329\pi$
$433$	−37.8591	+	8.64110i	−1.81939	+	0.415265i	−0.829670	+	0.558254i	$0.811471\pi$
$434$	−30.7412	+	51.4929i	−1.47563	+	2.47174i
$435$	−2.35610	−	0.120335i	−0.112966	−	0.00576964i
$436$	−4.48442	+	2.41720i	−0.214765	+	0.115763i
$437$	5.55258	+	24.3275i	0.265616	+	1.16374i
$438$	3.33641	−	2.20402i	0.159420	−	0.105312i
$439$	3.94156	−	1.89816i	0.188121	−	0.0905941i	−0.337452	−	0.941343i	$-0.609565\pi$
$439$	3.94156	−	1.89816i	0.188121	−	0.0905941i	0.525573	+	0.850748i	$0.323851\pi$
$440$	0.470545	+	2.57758i	0.0224324	+	0.122881i
$441$	1.46100	−	6.40104i	0.0695712	−	0.304811i
$442$	1.15688	+	1.75127i	0.0550271	+	0.0832994i
$443$	−19.2011	−	24.0774i	−0.912270	−	1.14395i	−0.989150	−	0.146910i	$-0.953067\pi$
$443$	−19.2011	−	24.0774i	−0.912270	−	1.14395i	0.0768796	−	0.997040i	$-0.475504\pi$
$444$	2.80927	−	6.58531i	0.133322	−	0.312525i
$445$	−2.70814	+	1.30417i	−0.128378	+	0.0618237i
$446$	−17.5870	+	6.60748i	−0.832766	+	0.312873i
$447$		−	15.7100i		−	0.743056i
$448$	23.7391	−	24.9333i	1.12157	−	1.17799i
$449$	−21.1031	−	4.81665i	−0.995918	−	0.227312i	−0.306653	−	0.951821i	$-0.599209\pi$
$449$	−21.1031	−	4.81665i	−0.995918	−	0.227312i	−0.689265	+	0.724509i	$0.742066\pi$
$450$	−2.74027	+	2.86810i	−0.129178	+	0.135204i
$451$	13.1046	+	10.4506i	0.617073	+	0.492100i
$452$	7.39673	−	3.98700i	0.347913	−	0.187533i
$453$	−17.6886	+	22.1808i	−0.831082	+	1.04214i
$454$	−3.63176	+	40.5103i	−0.170447	+	1.90124i
$455$	1.47439	+	1.84882i	0.0691204	+	0.0866742i
$456$	−12.3993	+	9.02841i	−0.580649	+	0.422794i
$457$	−8.83176	−	4.25315i	−0.413132	−	0.198954i	0.215760	−	0.976446i	$-0.430777\pi$
$457$	−8.83176	−	4.25315i	−0.413132	−	0.198954i	−0.628892	+	0.777492i	$0.716491\pi$
$458$	18.0243	−	18.8651i	0.842220	−	0.881508i
$459$	−4.11812	+	0.939934i	−0.192217	+	0.0438724i
$460$	−2.36752	+	3.26339i	−0.110386	+	0.152156i
$461$	−2.43796	−	1.17406i	−0.113547	−	0.0546815i	0.376248	−	0.926519i	$-0.377214\pi$
$461$	−2.43796	−	1.17406i	−0.113547	−	0.0546815i	−0.489795	+	0.871838i	$0.662928\pi$
$462$	9.65325	−	29.7449i	0.449110	−	1.38386i
$463$	−11.3009			−0.525199			−0.262599	−	0.964905i	$-0.584580\pi$
$463$	−11.3009			−0.525199			−0.262599	+	0.964905i	$0.584580\pi$
$464$	−10.1171	−	19.0169i	−0.469675	−	0.882839i
$465$	4.31698			0.200195
$466$	10.0399	−	30.9362i	0.465088	−	1.43309i
$467$	−20.4173	−	9.83247i	−0.944802	−	0.454992i	−0.102941	−	0.994687i	$-0.532825\pi$
$467$	−20.4173	−	9.83247i	−0.944802	−	0.454992i	−0.841861	+	0.539695i	$0.818540\pi$
$468$	−1.30892	+	1.80422i	−0.0605050	+	0.0834001i
$469$	65.1228	−	14.8638i	3.00709	−	0.686349i
$470$	0.431024	−	0.451131i	0.0198817	−	0.0208091i
$471$	27.5258	+	13.2557i	1.26832	+	0.610791i
$472$	−20.2886	−	27.8635i	−0.933857	−	1.28252i
$473$	−1.77315	−	2.22346i	−0.0815294	−	0.102235i
$474$	0.755559	−	8.42784i	0.0347040	−	0.387103i
$475$	10.6734	−	13.3841i	0.489730	−	0.614102i
$476$	−5.75053	+	3.09966i	−0.263575	+	0.142073i
$477$	−1.68287	−	1.34205i	−0.0770535	−	0.0614481i
$478$	−23.9049	+	25.0200i	−1.09338	+	1.14439i
$479$	21.7789	+	4.97088i	0.995102	+	0.227126i	0.688912	−	0.724845i	$-0.258089\pi$
$479$	21.7789	+	4.97088i	0.995102	+	0.227126i	0.306190	+	0.951970i	$0.400946\pi$
$480$	−2.41702	−	0.547241i	−0.110321	−	0.0249780i
$481$			4.49020i			0.204735i
$482$	−7.87438	+	2.95844i	−0.358668	+	0.134753i
$483$	43.3538	−	20.8781i	1.97267	−	0.949987i
$484$	0.105376	−	0.247015i	0.00478980	−	0.0112279i
$485$	0.258382	+	0.324001i	0.0117325	+	0.0147121i
$486$	−4.55038	−	6.88831i	−0.206409	−	0.312460i
$487$	8.13250	−	35.6308i	0.368519	−	1.61459i	−0.362332	−	0.932049i	$-0.618019\pi$
$487$	8.13250	−	35.6308i	0.368519	−	1.61459i	0.730851	−	0.682537i	$-0.239123\pi$
$488$	−24.1312	+	4.40523i	−1.09237	+	0.199415i
$489$	−7.73118	+	3.72314i	−0.349616	+	0.168366i
$490$	−3.81988	+	2.52339i	−0.172564	+	0.113995i
$491$	1.39006	+	6.09024i	0.0627324	+	0.274849i	0.996560	−	0.0828749i	$-0.0264102\pi$
$491$	1.39006	+	6.09024i	0.0627324	+	0.274849i	−0.933828	+	0.357723i	$0.883553\pi$
$492$	−13.9550	+	7.52206i	−0.629141	+	0.339121i
$493$	0.705100	+	4.02620i	0.0317561	+	0.181331i
$494$	4.93095	−	8.25955i	0.221854	−	0.371615i
$495$	0.514781	−	0.117495i	0.0231377	−	0.00528103i
$496$	20.2639	+	33.8089i	0.909875	+	1.51807i
$497$	−23.5165	+	11.3249i	−1.05486	+	0.507993i
$498$	−3.12241	−	1.01333i	−0.139919	−	0.0454084i
$499$	−22.2875	−	5.08697i	−0.997724	−	0.227724i	−0.307679	−	0.951490i	$-0.599552\pi$
$499$	−22.2875	−	5.08697i	−0.997724	−	0.227724i	−0.690045	+	0.723766i	$0.742409\pi$
$500$	5.57047	−	0.254059i	0.249119	−	0.0113619i
$501$	18.1619	+	22.7743i	0.811413	+	1.01748i
$502$	4.12854	+	30.3985i	0.184266	+	1.35675i
$503$	10.3547	+	21.5017i	0.461692	+	0.958714i	0.993710	+	0.111981i	$0.0357195\pi$
$503$	10.3547	+	21.5017i	0.461692	+	0.958714i	−0.532018	+	0.846733i	$0.678566\pi$
$504$	−5.22938	−	4.55914i	−0.232935	−	0.203080i
$505$			2.16059i			0.0961451i
$506$	−31.3024	+	11.7604i	−1.39156	+	0.522815i
$507$	3.18319	−	13.9465i	0.141371	−	0.619385i
$508$	6.57408	+	23.7561i	0.291678	+	1.05401i
$509$	−15.6386	−	12.4713i	−0.693167	−	0.552782i	0.212297	−	0.977205i	$-0.431906\pi$
$509$	−15.6386	−	12.4713i	−0.693167	−	0.552782i	−0.905464	+	0.424423i	$0.860477\pi$
$510$	0.403772	+	0.241052i	0.0178793	+	0.0106739i
$511$	−6.10264	−	4.86669i	−0.269965	−	0.215290i
$512$	−7.05970	−	21.4979i	−0.311997	−	0.950083i
$513$	12.0703	+	15.1357i	0.532919	+	0.668259i
$514$	−4.19571	−	30.8930i	−0.185065	−	1.36263i
$515$	0.694820	−	1.44281i	0.0306174	−	0.0635777i
$516$	2.59237	−	0.717393i	0.114123	−	0.0315815i
$517$	5.04514	−	1.15152i	0.221885	−	0.0506438i
$518$	−13.9198	−	1.24792i	−0.611601	−	0.0548303i
$519$	4.72227	−	9.80589i	0.207284	−	0.430431i
$520$	1.52897	−	0.279119i	0.0670500	−	0.0122402i
$521$	7.04367			0.308589			0.154294	−	0.988025i	$-0.450690\pi$
$521$	7.04367			0.308589			0.154294	+	0.988025i	$0.450690\pi$
$522$	−3.73928	+	2.20478i	−0.163664	+	0.0965007i
$523$			9.51068i			0.415873i	0.978142	+	0.207937i	$0.0666748\pi$
$523$			9.51068i			0.415873i	−0.978142	+	0.207937i	$0.933325\pi$
$524$	24.3175	−	21.2754i	1.06231	−	0.929421i
$525$	−29.7425	−	14.3232i	−1.29807	−	0.625118i
$526$	−0.301037	+	3.35790i	−0.0131258	+	0.146411i
$527$	−1.66435	−	7.29201i	−0.0725004	−	0.317645i
$528$	−14.2247	−	14.8364i	−0.619051	−	0.645673i
$529$	−25.6352	−	12.3453i	−1.11457	−	0.536750i
$530$	0.201986	+	1.48722i	0.00877371	+	0.0646009i
$531$	−5.43052	+	4.33069i	−0.235664	+	0.187936i
$532$	24.2345	+	17.5816i	1.05070	+	0.762261i
$533$	6.19911	−	7.77344i	0.268513	−	0.336705i
$534$	12.0866	−	20.2455i	0.523037	−	0.876110i
$535$	−1.30291	+	1.63380i	−0.0563297	+	0.0706352i
$536$	11.6357	−	42.3333i	0.502584	−	1.82852i
$537$	16.9894	+	3.87772i	0.733146	+	0.167336i
$538$	9.61996	−	3.61426i	0.414746	−	0.155822i
$539$	−37.9702			−1.63549
$540$	−0.556369	+	3.07805i	−0.0239423	+	0.132458i
$541$	25.9920	−	12.5171i	1.11748	−	0.538152i	0.218370	−	0.975866i	$-0.429926\pi$
$541$	25.9920	−	12.5171i	1.11748	−	0.538152i	0.899114	+	0.437714i	$0.144212\pi$
$542$	25.0460	−	3.40160i	1.07582	−	0.146111i
$543$	0.971424	−	0.774685i	0.0416878	−	0.0332449i
$544$	0.00747923	+	4.29368i	0.000320669	+	0.184090i
$545$	0.159291	−	0.697898i	0.00682326	−	0.0298947i
$546$	−17.6442	−	5.72614i	−0.755100	−	0.245056i
$547$	−13.1630	−	27.3333i	−0.562810	−	1.16869i	−0.967180	−	0.254091i	$-0.918224\pi$
$547$	−13.1630	−	27.3333i	−0.562810	−	1.16869i	0.404371	−	0.914595i	$-0.367491\pi$
$548$	32.4325	−	1.47919i	1.38545	−	0.0631879i
$549$	1.09999	+	4.81936i	0.0469464	+	0.205685i
$550$	19.6972	+	11.7592i	0.839891	+	0.501415i
$551$	15.2231	−	10.9178i	0.648527	−	0.465116i
$552$	1.38591	−	31.5964i	0.0589881	−	1.34483i
$553$	−16.1033	+	3.67548i	−0.684784	+	0.156297i
$554$	10.9455	−	7.23051i	0.465028	−	0.307195i
$555$	0.436498	+	0.906397i	0.0185283	+	0.0384744i
$556$	24.8986	+	28.4587i	1.05594	+	1.20692i
$557$	−1.93858	−	0.442468i	−0.0821402	−	0.0187480i	0.181253	−	0.983436i	$-0.441985\pi$
$557$	−1.93858	−	0.442468i	−0.0821402	−	0.0187480i	−0.263393	+	0.964688i	$0.584842\pi$
$558$	6.62770	−	4.37823i	0.280573	−	0.185345i
$559$	−1.31891	+	1.05180i	−0.0557842	+	0.0444864i
$560$	0.440348	+	4.81746i	0.0186081	+	0.203575i
$561$	1.69224	+	3.51398i	0.0714466	+	0.148360i
$562$	24.5823	−	9.23567i	1.03694	−	0.389583i
$563$	11.4170			0.481167			0.240584	−	0.970628i	$-0.422661\pi$
$563$	11.4170			0.481167			0.240584	+	0.970628i	$0.422661\pi$
$564$	−0.870585	+	4.81642i	−0.0366583	+	0.202808i
$565$	−0.262738	+	1.15113i	−0.0110535	+	0.0484285i
$566$	−26.7652	−	25.5723i	−1.12503	−	1.07489i
$567$	18.6882	−	23.4343i	0.784833	−	0.984149i
$568$	−0.751759	+	17.1389i	−0.0315431	+	0.719130i
$569$	23.8761	+	19.0406i	1.00094	+	0.798222i	0.979479	−	0.201547i	$-0.0645970\pi$
$569$	23.8761	+	19.0406i	1.00094	+	0.798222i	0.0214603	+	0.999770i	$0.493168\pi$
$570$	0.192446	−	2.14663i	0.00806068	−	0.0899123i
$571$	7.77431	−	6.19980i	0.325345	−	0.259454i	−0.447172	−	0.894448i	$-0.647569\pi$
$571$	7.77431	−	6.19980i	0.325345	−	0.259454i	0.772517	+	0.634994i	$0.218998\pi$
$572$	11.8569	+	5.05811i	0.495762	+	0.211490i
$573$	−6.28084	+	13.0423i	−0.262386	+	0.544850i
$574$	22.3751	+	21.3779i	0.933920	+	0.892296i
$575$	7.85473	+	34.4138i	0.327565	+	1.43515i
$576$	−4.26577	+	1.61115i	−0.177740	+	0.0671313i
$577$	−3.06883	+	6.37249i	−0.127757	+	0.265290i	−0.955030	−	0.296511i	$-0.904177\pi$
$577$	−3.06883	+	6.37249i	−0.127757	+	0.265290i	0.827272	+	0.561801i	$0.189891\pi$
$578$	−7.16980	+	22.0926i	−0.298225	+	0.918930i
$579$			26.9388i			1.11954i
$580$	2.94721	+	0.689610i	0.122376	+	0.0286345i
$581$			6.40802i			0.265849i
$582$	−3.09209	−	1.00349i	−0.128171	−	0.0415960i
$583$	−5.40103	+	11.2154i	−0.223688	+	0.464493i
$584$	−4.71532	+	2.02126i	−0.195121	+	0.0836402i
$585$	−0.0696962	−	0.305359i	−0.00288158	−	0.0126250i
$586$	−0.227290	+	0.237893i	−0.00938927	+	0.00982726i
$587$	8.63445	−	17.9296i	0.356382	−	0.740035i	−0.643290	−	0.765622i	$-0.722431\pi$
$587$	8.63445	−	17.9296i	0.356382	−	0.740035i	0.999673	+	0.0255871i	$0.00814553\pi$
$588$	14.0916	−	33.0325i	0.581127	−	1.36224i
$589$	−26.8010	+	21.3731i	−1.10432	+	0.880664i
$590$	4.82388	+	0.432463i	0.198596	+	0.0178042i
$591$	7.49123	+	5.97406i	0.308148	+	0.245740i
$592$	−5.04964	+	7.67311i	−0.207539	+	0.315363i
$593$	−11.1805	+	14.0199i	−0.459127	+	0.575727i	−0.956471	−	0.291826i	$-0.905737\pi$
$593$	−11.1805	+	14.0199i	−0.459127	+	0.575727i	0.497344	+	0.867553i	$0.334309\pi$
$594$	−17.9215	+	18.7575i	−0.735328	+	0.769629i
$595$	0.204264	−	0.894938i	0.00837400	−	0.0366889i
$596$	−3.58515	+	19.8344i	−0.146853	+	0.812450i
$597$	16.8491			0.689589
$598$	6.97608	+	18.5680i	0.285273	+	0.759303i
$599$	−3.41928	−	7.10020i	−0.139708	−	0.290106i	0.819362	−	0.573277i	$-0.194328\pi$
$599$	−3.41928	−	7.10020i	−0.139708	−	0.290106i	−0.959070	+	0.283171i	$0.908614\pi$
$600$	−17.5401	+	12.7717i	−0.716072	+	0.521401i
$601$	−9.77930	+	7.79873i	−0.398906	+	0.318117i	−0.802313	−	0.596904i	$-0.796397\pi$
$601$	−9.77930	+	7.79873i	−0.398906	+	0.318117i	0.403407	+	0.915021i	$0.367826\pi$
$602$	−2.89407	−	4.38101i	−0.117953	−	0.178557i
$603$	−8.62559	−	1.96874i	−0.351261	−	0.0801731i
$604$	27.3943	−	23.9674i	1.11466	−	0.975219i
$605$	0.0163730	+	0.0339989i	0.000665657	+	0.00138225i
$606$	−9.34190	−	14.1417i	−0.379489	−	0.574466i
$607$	19.9284	−	4.54853i	0.808869	−	0.184619i	0.201963	−	0.979393i	$-0.435268\pi$
$607$	19.9284	−	4.54853i	0.808869	−	0.184619i	0.606905	+	0.794774i	$0.292411\pi$
$608$	17.7149	−	8.56910i	0.718434	−	0.347523i
$609$	−27.0583	−	23.9351i	−1.09646	−	0.969899i
$610$	1.76686	−	2.95957i	0.0715382	−	0.119830i
$611$	−0.683061	−	2.99269i	−0.0276337	−	0.121071i
$612$	0.864368	−	0.0394223i	0.0349400	−	0.00159355i
$613$	1.69990	+	3.52988i	0.0686583	+	0.142570i	0.932474	−	0.361238i	$-0.117646\pi$
$613$	1.69990	+	3.52988i	0.0686583	+	0.142570i	−0.863815	+	0.503809i	$0.831932\pi$
$614$	2.03519	−	6.27111i	0.0821336	−	0.253081i
$615$	0.495695	−	2.17178i	0.0199883	−	0.0875746i
$616$	−18.9756	+	35.3511i	−0.764550	+	1.42434i
$617$	31.1910	−	24.8740i	1.25570	−	1.00139i	0.256306	−	0.966596i	$-0.417494\pi$
$617$	31.1910	−	24.8740i	1.25570	−	1.00139i	0.999395	−	0.0347925i	$-0.0110770\pi$
$618$	1.69059	+	12.4478i	0.0680054	+	0.500724i
$619$	12.4621	−	6.00143i	0.500894	−	0.241218i	−0.166336	−	0.986069i	$-0.553194\pi$
$619$	12.4621	−	6.00143i	0.500894	−	0.241218i	0.667231	+	0.744851i	$0.267479\pi$
$620$	−5.45035	−	0.985170i	−0.218891	−	0.0395654i
$621$	−39.9187			−1.60188
$622$	0.772111	+	2.05511i	0.0309588	+	0.0824023i
$623$	−44.8731	−	10.2420i	−1.79780	−	0.410337i
$624$	−8.80071	+	8.43784i	−0.352310	+	0.337784i
$625$	14.8525	−	18.6244i	0.594100	−	0.744978i
$626$	27.8399	+	16.6204i	1.11271	+	0.664285i
$627$	11.1451	−	13.9755i	0.445091	−	0.558126i
$628$	−31.7273	−	23.0175i	−1.26606	−	0.918497i
$629$	1.36275	−	1.08676i	0.0543365	−	0.0433319i
$630$	0.965996	−	0.131196i	0.0384862	−	0.00522696i
$631$	−33.0792	−	15.9301i	−1.31686	−	0.634168i	−0.362268	−	0.932074i	$-0.617998\pi$
$631$	−33.0792	−	15.9301i	−1.31686	−	0.634168i	−0.954595	+	0.297906i	$0.903712\pi$
$632$	−2.87722	+	10.4680i	−0.114450	+	0.416396i
$633$	6.73245	+	29.4968i	0.267591	+	1.17239i
$634$	−48.9184	−	4.38556i	−1.94280	−	0.174173i
$635$	−3.12057	−	1.50279i	−0.123836	−	0.0596364i
$636$	−7.75247	−	8.86095i	−0.307405	−	0.351359i
$637$			22.5233i			0.892404i
$638$	17.2429	+	18.2454i	0.682653	+	0.722342i
$639$	3.45715			0.136763
$640$	2.92669	+	1.24250i	0.115688	+	0.0491140i
$641$	17.2886	−	35.9002i	0.682861	−	1.41797i	−0.214521	−	0.976719i	$-0.568819\pi$
$641$	17.2886	−	35.9002i	0.682861	−	1.41797i	0.897382	−	0.441255i	$-0.145467\pi$
$642$	1.46373	−	16.3271i	0.0577689	−	0.644380i
$643$	−40.9245	+	9.34075i	−1.61390	+	0.368363i	−0.931823	−	0.362913i	$-0.881782\pi$
$643$	−40.9245	+	9.34075i	−1.61390	+	0.368363i	−0.682082	+	0.731276i	$0.738925\pi$
$644$	−59.5004	+	16.4657i	−2.34465	+	0.648839i
$645$	−0.163991	+	0.340531i	−0.00645714	+	0.0134084i
$646$	−3.70016	+	0.502534i	−0.145581	+	0.0197719i
$647$	22.8784	+	28.6886i	0.899441	+	1.12786i	0.991238	+	0.132086i	$0.0421675\pi$
$647$	22.8784	+	28.6886i	0.899441	+	1.12786i	−0.0917971	+	0.995778i	$0.529261\pi$
$648$	−7.76169	−	18.1070i	−0.304908	−	0.711310i
$649$	31.4055	+	25.0451i	1.23277	+	0.983105i
$650$	6.97536	−	11.6840i	0.273596	−	0.458285i
$651$	51.6827	+	41.2156i	2.02560	+	1.61537i
$652$	10.6106	−	2.93629i	0.415542	−	0.114994i
$653$	−1.19729	+	5.24567i	−0.0468536	+	0.205279i	−0.992937	−	0.118645i	$-0.962145\pi$
$653$	−1.19729	+	5.24567i	−0.0468536	+	0.205279i	0.946083	+	0.323924i	$0.105002\pi$
$654$	1.97495	+	5.25667i	0.0772266	+	0.205552i
$655$			4.54018i			0.177399i
$656$	19.3353	−	6.31223i	0.754918	−	0.246451i
$657$	0.448574	+	0.931473i	0.0175005	+	0.0363402i
$658$	9.46729	−	1.28579i	0.369073	−	0.0501253i
$659$	18.7582	+	23.5220i	0.730714	+	0.916287i	0.998891	−	0.0470830i	$-0.0149925\pi$
$659$	18.7582	+	23.5220i	0.730714	+	0.916287i	−0.268177	+	0.963370i	$0.586421\pi$
$660$	2.88515	−	0.131587i	0.112304	−	0.00512201i
$661$	−46.9366	−	10.7130i	−1.82562	−	0.416687i	−0.834654	−	0.550774i	$-0.814332\pi$
$661$	−46.9366	−	10.7130i	−1.82562	−	0.416687i	−0.990969	+	0.134088i	$0.957190\pi$
$662$	6.67163	−	20.5575i	0.259300	−	0.798991i
$663$	2.08443	−	1.00381i	0.0809526	−	0.0389847i
$664$	3.71091	+	1.99193i	0.144011	+	0.0773019i
$665$	−4.10163	+	0.936170i	−0.159054	+	0.0363031i
$666$	1.58940	+	0.948869i	0.0615878	+	0.0367679i
$667$	−1.97032	+	38.5779i	−0.0762913	+	1.49374i
$668$	−17.7328	−	32.8981i	−0.686102	−	1.27286i
$669$	4.60811	+	20.1894i	0.178160	+	0.780569i
$670$	3.40034	+	5.14740i	0.131367	+	0.198861i
$671$	25.7568	−	12.4038i	0.994330	−	0.478844i
$672$	−23.7118	−	29.6276i	−0.914701	−	1.14291i
$673$	5.26214	−	23.0549i	0.202841	−	0.888703i	−0.766356	−	0.642416i	$-0.777932\pi$
$673$	5.26214	−	23.0549i	0.202841	−	0.888703i	0.969197	−	0.246287i	$-0.0792106\pi$
$674$	−18.3402	+	12.1155i	−0.706440	+	0.466670i
$675$	17.0748	+	21.4111i	0.657209	+	0.824114i
$676$	−7.20161	+	16.8815i	−0.276985	+	0.649290i
$677$	−14.4403	+	6.95408i	−0.554986	+	0.267267i	−0.690285	−	0.723538i	$-0.742515\pi$
$677$	−14.4403	+	6.95408i	−0.554986	+	0.267267i	0.135299	+	0.990805i	$0.456800\pi$
$678$	−3.25753	−	8.67048i	−0.125105	−	0.332988i
$679$			6.34578i			0.243529i
$680$	−0.454767	−	0.396481i	−0.0174395	−	0.0152044i
$681$	43.7084	+	9.97617i	1.67491	+	0.382288i
$682$	−33.2142	−	31.7338i	−1.27184	−	1.21515i
$683$	11.9913	+	9.56271i	0.458833	+	0.365907i	0.825460	−	0.564461i	$-0.190916\pi$
$683$	11.9913	+	9.56271i	0.458833	+	0.365907i	−0.366627	+	0.930368i	$0.619487\pi$
$684$	−1.88163	−	3.49082i	−0.0719458	−	0.133475i
$685$	−2.84438	+	3.56674i	−0.108678	+	0.136278i
$686$	−27.3920	−	2.45571i	−1.04583	−	0.0937594i
$687$	−17.9316	−	22.4855i	−0.684131	−	0.857874i
$688$	−3.43668	+	0.314135i	−0.131022	+	0.0119763i
$689$	6.65275	+	3.20380i	0.253450	+	0.122055i
$690$	3.21322	+	3.07001i	0.122325	+	0.116873i
$691$	24.0227	−	5.48303i	0.913867	−	0.208584i	0.260366	−	0.965510i	$-0.416157\pi$
$691$	24.0227	−	5.48303i	0.913867	−	0.208584i	0.653501	+	0.756926i	$0.273300\pi$
$692$	−8.19982	+	11.3026i	−0.311711	+	0.429662i
$693$	7.28470	+	3.50813i	0.276723	+	0.133263i
$694$	18.8545	+	6.11895i	0.715708	+	0.232272i
$695$	−5.31337			−0.201548
$696$	−22.2720	+	8.22936i	−0.844217	+	0.311933i
$697$	−3.85956			−0.146191
$698$	−39.3413	−	12.7676i	−1.48909	−	0.483262i
$699$	−32.3006	−	15.5551i	−1.22172	−	0.588350i
$700$	34.2824	+	24.8711i	1.29575	+	0.940040i
$701$	34.7668	−	7.93528i	1.31312	−	0.299712i	0.492065	−	0.870558i	$-0.336242\pi$
$701$	34.7668	−	7.93528i	1.31312	−	0.299712i	0.821057	+	0.570847i	$0.193385\pi$
$702$	11.1266	+	10.6307i	0.419947	+	0.401231i
$703$	−7.19742	−	3.46610i	−0.271456	−	0.130726i
$704$	14.5734	+	21.9777i	0.549257	+	0.828318i
$705$	−0.428806	−	0.537706i	−0.0161498	−	0.0202512i
$706$	−10.1636	−	0.911175i	−0.382514	−	0.0342925i
$707$	−20.6279	+	25.8665i	−0.775790	+	0.972810i
$708$	−33.4435	+	18.0268i	−1.25688	+	0.677487i
$709$	1.17800	+	0.939426i	0.0442408	+	0.0352809i	0.645361	−	0.763878i	$-0.276707\pi$
$709$	1.17800	+	0.939426i	0.0442408	+	0.0352809i	−0.601120	+	0.799159i	$0.705279\pi$
$710$	−1.74295	−	1.66527i	−0.0654118	−	0.0624965i
$711$	2.13291	+	0.486822i	0.0799903	+	0.0182573i
$712$	−19.8800	+	22.8025i	−0.745033	+	0.854560i
$713$		−	70.6845i		−	2.64716i
$714$	2.53254	+	6.74080i	0.0947781	+	0.252268i
$715$	−1.63197	+	0.785917i	−0.0610323	+	0.0293916i
$716$	−20.5648	−	8.77288i	−0.768543	−	0.327858i
$717$	23.7819	+	29.8215i	0.888150	+	1.11371i
$718$	5.80147	−	3.83242i	0.216509	−	0.143025i
$719$	0.0982103	−	0.430287i	0.00366263	−	0.0160470i	−0.973064	−	0.230537i	$-0.925952\pi$
$719$	0.0982103	−	0.430287i	0.00366263	−	0.0160470i	0.976726	+	0.214490i	$0.0688089\pi$
$720$	0.224303	−	0.600195i	0.00835929	−	0.0223679i
$721$	22.0933	−	10.6396i	0.822798	−	0.396238i
$722$	−5.37738	−	8.14021i	−0.200125	−	0.302947i
$723$	2.06324	+	9.03962i	0.0767325	+	0.336187i
$724$	−1.40325	+	0.756382i	−0.0521513	+	0.0281107i
$725$	21.5347	−	15.4445i	0.799780	−	0.573593i
$726$	−0.254169	−	0.151739i	−0.00943310	−	0.00563155i
$727$	14.7010	−	3.35541i	0.545230	−	0.124445i	0.0589706	−	0.998260i	$-0.481218\pi$
$727$	14.7010	−	3.35541i	0.545230	−	0.124445i	0.486259	+	0.873815i	$0.338361\pi$
$728$	20.9697	+	11.2560i	0.777187	+	0.417175i
$729$	−27.0249	+	13.0145i	−1.00092	+	0.482019i
$730$	0.222527	−	0.685682i	0.00823611	−	0.0253782i
$731$	0.638431	+	0.145718i	0.0236132	+	0.00538957i
$732$	1.23191	+	27.0107i	0.0455327	+	0.998344i
$733$	12.7705	+	16.0137i	0.471689	+	0.591479i	0.959584	−	0.281423i	$-0.0908065\pi$
$733$	12.7705	+	16.0137i	0.471689	+	0.591479i	−0.487895	+	0.872902i	$0.662235\pi$
$734$	−46.6872	+	6.34078i	−1.72326	+	0.234042i
$735$	2.18951	+	4.54657i	0.0807614	+	0.167703i
$736$	−8.96031	+	39.5753i	−0.330281	+	1.45877i
$737$			51.1660i			1.88472i
$738$	−1.44157	−	3.83698i	−0.0530649	−	0.141241i
$739$	10.9849	−	48.1282i	0.404088	−	1.77042i	−0.206471	−	0.978453i	$-0.566198\pi$
$739$	10.9849	−	48.1282i	0.404088	−	1.77042i	0.610558	−	0.791971i	$-0.290945\pi$
$740$	−0.344248	−	1.24397i	−0.0126548	−	0.0457294i
$741$	−8.29000	−	6.61105i	−0.304541	−	0.242863i
$742$	−11.7808	+	19.7334i	−0.432488	+	0.724436i
$743$	−14.8119	−	11.8121i	−0.543397	−	0.433345i	0.312932	−	0.949776i	$-0.398689\pi$
$743$	−14.8119	−	11.8121i	−0.543397	−	0.433345i	−0.856329	+	0.516431i	$0.827260\pi$
$744$	39.9337	−	17.1178i	1.46404	−	0.627571i
$745$	−1.76586	−	2.21432i	−0.0646962	−	0.0811264i
$746$	39.8624	−	5.41387i	1.45947	−	0.198216i
$747$	0.368259	−	0.764698i	0.0134739	−	0.0279788i
$748$	−1.33460	−	4.82272i	−0.0487979	−	0.176336i
$749$	−31.1967	+	7.12045i	−1.13990	+	0.260176i
$750$	0.548841	−	6.12201i	0.0200408	−	0.223544i
$751$	2.58745	−	5.37289i	0.0944173	−	0.196060i	−0.848411	−	0.529338i	$-0.822440\pi$
$751$	2.58745	−	5.37289i	0.0944173	−	0.196060i	0.942829	+	0.333278i	$0.108155\pi$
$752$	2.19829	−	5.88224i	0.0801635	−	0.214503i
$753$	33.8150			1.23229
$754$	10.8228	−	10.2282i	0.394145	−	0.372488i
$755$			5.11465i			0.186141i
$756$	−36.0480	+	31.5385i	−1.31105	+	1.14704i
$757$	28.7771	+	13.8583i	1.04592	+	0.503690i	0.876273	−	0.481814i	$-0.160022\pi$
$757$	28.7771	+	13.8583i	1.04592	+	0.503690i	0.169650	+	0.985504i	$0.445736\pi$
$758$	−3.90494	−	0.350080i	−0.141834	−	0.0127155i
$759$	8.20181	+	35.9345i	0.297707	+	1.30434i
$760$	−0.732849	+	2.66628i	−0.0265832	+	0.0967162i
$761$	22.4548	+	10.8137i	0.813985	+	0.391995i	0.794085	−	0.607807i	$-0.207951\pi$
$761$	22.4548	+	10.8137i	0.813985	+	0.391995i	0.0199008	+	0.999802i	$0.493665\pi$
$762$	26.9227	−	3.65648i	0.975307	−	0.132460i
$763$	8.57007	−	6.83441i	0.310258	−	0.247422i
$764$	10.9062	−	15.0331i	0.394571	−	0.543877i
$765$	−0.0758064	+	0.0950582i	−0.00274079	+	0.00343684i
$766$	−19.4925	−	11.6370i	−0.704292	−	0.420462i
$767$	14.8563	−	18.6292i	0.536430	−	0.672662i
$768$	−24.5283	+	4.52187i	−0.885088	+	0.163169i
$769$	−9.39917	−	2.14530i	−0.338943	−	0.0773615i	0.0496618	−	0.998766i	$-0.484186\pi$
$769$	−9.39917	−	2.14530i	−0.338943	−	0.0773615i	−0.388605	+	0.921405i	$0.627043\pi$
$770$	−1.98282	−	5.27761i	−0.0714558	−	0.190192i
$771$	−34.3652			−1.23763
$772$	6.14765	−	34.0112i	0.221259	−	1.22409i
$773$	−48.1980	+	23.2109i	−1.73356	+	0.834838i	−0.748390	+	0.663259i	$0.769173\pi$
$773$	−48.1980	+	23.2109i	−1.73356	+	0.834838i	−0.985170	+	0.171579i	$0.945113\pi$
$774$	0.0935925	+	0.689123i	0.00336411	+	0.0247700i
$775$	−37.9129	+	30.2346i	−1.36187	+	1.08606i
$776$	3.67487	+	1.97258i	0.131920	+	0.0708116i
$777$	−3.42793	+	15.0187i	−0.122976	+	0.538794i
$778$	−7.34666	+	22.6375i	−0.263391	+	0.811595i
$779$	7.67494	+	15.9372i	0.274983	+	0.571009i
$780$	−0.0780550	−	1.71142i	−0.00279482	−	0.0612787i
$781$	−4.44892	−	19.4920i	−0.159195	−	0.697478i
$782$	3.94688	−	6.61120i	0.141140	−	0.236416i
$783$	11.6088	+	27.6291i	0.414865	+	0.987383i
$784$	−25.3294	+	38.4890i	−0.904623	+	1.37461i
$785$	5.36976	−	1.22561i	0.191655	−	0.0437440i
$786$	−19.6307	−	29.7167i	−0.700203	−	1.05996i
$787$	0.991954	+	2.05981i	0.0353593	+	0.0734244i	0.917900	−	0.396811i	$-0.129883\pi$
$787$	0.991954	+	2.05981i	0.0353593	+	0.0734244i	−0.882541	+	0.470236i	$0.844169\pi$
$788$	−8.09463	−	9.25203i	−0.288359	−	0.329590i
$789$	3.62299	+	0.826924i	0.128982	+	0.0294393i
$790$	−0.840826	−	1.27283i	−0.0299152	−	0.0452853i
$791$	−14.1357	+	11.2729i	−0.502608	+	0.400816i
$792$	4.29602	−	3.12811i	0.152652	−	0.111152i
$793$	−7.35773	−	15.2785i	−0.261281	−	0.542555i
$794$	−3.44446	−	9.16801i	−0.122239	−	0.325361i
$795$	1.65438			0.0586748
$796$	−21.2727	−	3.84511i	−0.753989	−	0.136286i
$797$	−1.00493	+	4.40289i	−0.0355964	+	0.155958i	−0.989603	−	0.143829i	$-0.954059\pi$
$797$	−1.00493	+	4.40289i	−0.0355964	+	0.155958i	0.954006	+	0.299787i	$0.0969156\pi$
$798$	22.7985	−	23.8620i	0.807058	−	0.844705i
$799$	−0.742944	+	0.931623i	−0.0262835	+	0.0329584i
$800$	25.0596	−	12.1219i	0.885992	−	0.428574i
$801$	4.76632	+	3.80101i	0.168410	+	0.134302i
$802$	13.3722	+	1.19882i	0.472189	+	0.0423319i
$803$	4.67453	−	3.72782i	0.164961	−	0.131552i
$804$	−44.5123	−	18.9888i	−1.56983	−	0.669684i
$805$	3.76394	−	7.81591i	0.132662	−	0.275475i
$806$	−18.8240	+	19.7021i	−0.663046	+	0.693975i
$807$	−2.52061	−	11.0435i	−0.0887297	−	0.388750i
$808$	8.56726	+	19.9863i	0.301395	+	0.703115i
$809$	−10.5988	+	22.0086i	−0.372634	+	0.773783i	−0.999988	−	0.00495173i	$-0.998424\pi$
$809$	−10.5988	+	22.0086i	−0.372634	+	0.773783i	0.627354	+	0.778735i	$0.284138\pi$
$810$	2.63304	+	0.854513i	0.0925156	+	0.0300245i
$811$		−	25.5528i		−	0.897279i	−0.893713	−	0.448640i	$-0.851909\pi$
$811$		−	25.5528i		−	0.897279i	0.893713	−	0.448640i	$-0.148091\pi$
$812$	28.6999	+	36.3939i	1.00717	+	1.27718i
$813$		−	27.8610i		−	0.977128i
$814$	3.30452	−	10.1823i	0.115823	−	0.356891i
$815$	−0.671215	+	1.39379i	−0.0235116	+	0.0488224i
$816$	4.69087	+	0.628766i	0.164213	+	0.0220112i
$817$	−0.667846	−	2.92602i	−0.0233650	−	0.102369i
$818$	−8.95842	−	8.55915i	−0.313224	−	0.299264i
$819$	2.08096	−	4.32116i	0.0727146	−	0.150993i
$820$	−1.12145	+	2.62883i	−0.0391628	+	0.0918028i
$821$	39.9213	−	31.8361i	1.39326	−	1.11109i	0.413594	−	0.910461i	$-0.364273\pi$
$821$	39.9213	−	31.8361i	1.39326	−	1.11109i	0.979668	−	0.200628i	$-0.0642982\pi$
$822$	3.19547	−	35.6437i	0.111455	−	1.24322i
$823$	−14.9709	−	11.9389i	−0.521852	−	0.416163i	0.326817	−	0.945088i	$-0.394024\pi$
$823$	−14.9709	−	11.9389i	−0.521852	−	0.416163i	−0.848669	+	0.528925i	$0.822595\pi$
$824$	0.706264	−	16.1016i	0.0246039	−	0.560927i
$825$	15.7659	−	19.7698i	0.548898	−	0.688296i
$826$	53.6224	+	51.2326i	1.86576	+	1.78261i
$827$	1.31317	−	5.75338i	0.0456634	−	0.200065i	−0.946951	−	0.321379i	$-0.895854\pi$
$827$	1.31317	−	5.75338i	0.0456634	−	0.200065i	0.992614	+	0.121314i	$0.0387109\pi$
$828$	8.04671	+	1.45447i	0.279642	+	0.0505464i
$829$	19.8484			0.689365			0.344682	−	0.938719i	$-0.387987\pi$
$829$	19.8484			0.689365			0.344682	+	0.938719i	$0.387987\pi$
$830$	−0.554007	+	0.208142i	−0.0192298	+	0.00722473i
$831$	−6.27382	−	13.0277i	−0.217636	−	0.451927i
$832$	13.0368	−	8.64470i	0.451970	−	0.299701i
$833$	6.83569	−	5.45128i	0.236843	−	0.188876i
$834$	34.7775	−	22.9738i	1.20425	−	0.795518i
$835$	5.11983	+	1.16857i	0.177179	+	0.0404400i
$836$	−17.2604	+	15.1012i	−0.596962	+	0.522284i
$837$	−23.7938	−	49.4083i	−0.822433	−	1.70780i
$838$	−18.2071	+	12.0275i	−0.628954	+	0.415484i
$839$	−19.8954	+	4.54100i	−0.686867	+	0.156773i	−0.551691	−	0.834049i	$-0.686017\pi$
$839$	−19.8954	+	4.54100i	−0.686867	+	0.156773i	−0.135176	+	0.990822i	$0.543160\pi$
$840$	5.32717	+	0.233665i	0.183805	+	0.00806221i
$841$	27.2741	−	9.85517i	0.940486	−	0.339833i
$842$	20.8603	+	12.4536i	0.718892	+	0.429178i
$843$	−6.44102	−	28.2200i	−0.221841	−	0.971947i
$844$	−1.76856	−	38.7772i	−0.0608764	−	1.33477i
$845$	−1.11897	−	2.32356i	−0.0384937	−	0.0799329i
$846$	−1.20367	−	0.390631i	−0.0413829	−	0.0134302i
$847$	−0.128581	+	0.563351i	−0.00441811	+	0.0193570i
$848$	7.76564	+	12.9565i	0.266673	+	0.444927i
$849$	−31.9017	+	25.4408i	−1.09486	+	0.873125i
$850$	−5.23428	+	0.710889i	−0.179534	+	0.0243833i
$851$	14.8410	−	7.14704i	0.508742	−	0.244997i
$852$	18.6083	+	3.36352i	0.637511	+	0.115232i
$853$	−25.1395			−0.860762			−0.430381	−	0.902647i	$-0.641621\pi$
$853$	−25.1395			−0.860762			−0.430381	+	0.902647i	$0.641621\pi$
$854$	49.4088	−	18.5631i	1.69073	−	0.635215i
$855$	0.543266	+	0.123997i	0.0185793	+	0.00424061i
$856$	−5.57400	+	20.2796i	−0.190515	+	0.693141i
$857$	−21.0111	+	26.3471i	−0.717725	+	0.899999i	−0.998207	−	0.0598603i	$-0.980934\pi$
$857$	−21.0111	+	26.3471i	−0.717725	+	0.899999i	0.280481	+	0.959859i	$0.409506\pi$
$858$	7.28358	−	12.2003i	0.248657	−	0.416512i
$859$	−24.1987	+	30.3442i	−0.825647	+	1.03533i	0.173081	+	0.984908i	$0.444628\pi$
$859$	−24.1987	+	30.3442i	−0.825647	+	1.03533i	−0.998728	+	0.0504215i	$0.983944\pi$
$860$	0.284757	−	0.392509i	0.00971013	−	0.0133844i
$861$	26.6691	−	21.2679i	0.908881	−	0.724808i
$862$	0.0897958	+	0.661167i	0.00305846	+	0.0225194i
$863$	26.1876	+	12.6113i	0.891435	+	0.429292i	0.822788	−	0.568349i	$-0.192418\pi$
$863$	26.1876	+	12.6113i	0.891435	+	0.429292i	0.0686469	+	0.997641i	$0.478132\pi$
$864$	7.05859	+	30.6793i	0.240138	+	1.04373i
$865$	−0.436616	−	1.91294i	−0.0148454	−	0.0650419i
$866$	4.90374	−	54.6984i	0.166636	−	1.85873i
$867$	23.0669	+	11.1085i	0.783394	+	0.377263i
$868$	−55.8456	−	63.8306i	−1.89552	−	2.16655i
$869$		−	12.6522i		−	0.429195i
$870$	1.19042	−	3.11678i	0.0403590	−	0.105669i
$871$	30.3508			1.02840
$872$	−1.29383	−	7.08744i	−0.0438147	−	0.240011i
$873$	0.364682	−	0.757271i	0.0123426	−	0.0256297i
$874$	−35.1480	−	3.15104i	−1.18890	−	0.106585i
$875$	−11.6975	+	2.66988i	−0.395448	+	0.0902585i
$876$	1.50823	+	5.45013i	0.0509583	+	0.184143i
$877$	22.7939	−	47.3320i	0.769695	−	1.59829i	−0.0312227	−	0.999512i	$-0.509940\pi$
$877$	22.7939	−	47.3320i	0.769695	−	1.59829i	0.800917	−	0.598775i	$-0.204346\pi$
$878$	0.832625	+	6.13063i	0.0280997	+	0.206899i
$879$	0.226121	+	0.283546i	0.00762686	+	0.00956378i
$880$	−3.67264	−	0.492283i	−0.123805	−	0.0165948i
$881$	11.1975	+	8.92971i	0.377254	+	0.300850i	0.793699	−	0.608311i	$-0.208153\pi$
$881$	11.1975	+	8.92971i	0.377254	+	0.300850i	−0.416445	+	0.909161i	$0.636724\pi$
$882$	7.97256	+	4.75961i	0.268450	+	0.160265i
$883$	28.7243	+	22.9069i	0.966651	+	0.770878i	0.973403	−	0.229099i	$-0.0735780\pi$
$883$	28.7243	+	22.9069i	0.966651	+	0.770878i	−0.00675256	+	0.999977i	$0.502149\pi$
$884$	−2.86075	+	0.791662i	−0.0962174	+	0.0266265i
$885$	1.18794	−	5.20471i	0.0399322	−	0.174955i
$886$	40.7698	−	15.3174i	1.36969	−	0.514598i
$887$		−	18.1755i		−	0.610272i	−0.952309	−	0.305136i	$-0.901298\pi$
$887$		−	18.1755i		−	0.610272i	0.952309	−	0.305136i	$-0.0987019\pi$
$888$	7.63185	+	6.65369i	0.256108	+	0.223283i
$889$	−23.0118	−	47.7844i	−0.771790	−	1.60264i
$890$	−0.572074	−	4.21219i	−0.0191760	−	0.141193i
$891$	14.3149	+	17.9504i	0.479569	+	0.601360i
$892$	−1.21051	−	26.5416i	−0.0405310	−	0.888677i
$893$	5.32430	+	1.21524i	0.178171	+	0.0406664i
$894$	21.1323	+	6.85815i	0.706768	+	0.229371i
$895$	2.83052	−	1.36311i	0.0946140	−	0.0455637i
$896$	23.1757	+	42.8172i	0.774247	+	1.43042i
$897$	21.3157	−	4.86517i	0.711710	−	0.162443i
$898$	15.6916	−	26.2842i	0.523636	−	0.877114i
$899$	−48.9232	+	20.5559i	−1.63168	+	0.685577i
$900$	−2.66176	−	4.93814i	−0.0887254	−	0.164605i
$901$	−0.637824	−	2.79449i	−0.0212490	−	0.0930979i
$902$	−19.7784	+	13.0655i	−0.658549	+	0.435034i
$903$	−5.21445	+	2.51115i	−0.173526	+	0.0835657i
$904$	2.13408	+	11.6902i	0.0709786	+	0.388811i
$905$	0.0498446	−	0.218384i	0.00165689	−	0.00725932i
$906$	−22.1145	−	33.4767i	−0.734707	−	1.11219i
$907$	23.3693	+	29.3042i	0.775966	+	0.973031i	0.999999	−	0.00155061i	$-0.000493575\pi$
$907$	23.3693	+	29.3042i	0.775966	+	0.973031i	−0.224032	+	0.974582i	$0.571922\pi$
$908$	−52.9069	−	22.5699i	−1.75578	−	0.749009i
$909$	3.94812	−	1.90132i	0.130951	−	0.0630627i
$910$	−3.13058	+	1.17617i	−0.103778	+	0.0389897i
$911$			9.19686i			0.304705i	0.988326	+	0.152353i	$0.0486850\pi$
$911$			9.19686i			0.304705i	−0.988326	+	0.152353i	$0.951315\pi$
$912$	−6.73169	−	20.6202i	−0.222909	−	0.682803i
$913$	−4.78539	−	1.09223i	−0.158373	−	0.0361477i
$914$	9.57661	−	10.0233i	0.316766	−	0.331542i
$915$	−2.97048	−	2.36888i	−0.0982010	−	0.0783127i
$916$	17.5079	+	32.4809i	0.578477	+	1.07320i
$917$	−43.3465	+	54.3548i	−1.43143	+	1.79495i
$918$	0.533403	−	5.94981i	0.0176049	−	0.196373i
$919$	−8.74039	−	10.9601i	−0.288319	−	0.361540i	0.616487	−	0.787365i	$-0.288555\pi$
$919$	−8.74039	−	10.9601i	−0.288319	−	0.361540i	−0.904806	+	0.425825i	$0.859984\pi$
$920$	−3.35621	−	4.60929i	−0.110651	−	0.151964i
$921$	−6.54769	−	3.15320i	−0.215754	−	0.103901i
$922$	2.64357	−	2.76689i	0.0870615	−	0.0911227i
$923$	−11.5623	+	2.63902i	−0.380578	+	0.0868644i
$924$	35.7972	+	25.9701i	1.17764	+	0.854354i
$925$	−10.1815	−	4.90317i	−0.334767	−	0.161215i
$926$	4.93339	−	15.2014i	0.162121	−	0.499550i
$927$	−3.24793			−0.106676
$928$	29.9972	−	5.30723i	0.984707	−	0.174218i
$929$	31.8844			1.04609			0.523046	−	0.852304i	$-0.324796\pi$
$929$	31.8844			1.04609			0.523046	+	0.852304i	$0.324796\pi$
$930$	−1.88457	+	5.80698i	−0.0617973	+	0.190418i
$931$	−36.1029	−	17.3863i	−1.18323	−	0.569812i
$932$	37.2309	+	27.0102i	1.21954	+	0.884749i
$933$	2.35922	−	0.538476i	0.0772374	−	0.0176289i
$934$	22.1393	−	23.1720i	0.724419	−	0.758212i
$935$	0.633507	+	0.305081i	0.0207179	+	0.00997721i
$936$	−1.85554	−	2.54832i	−0.0606501	−	0.0832945i
$937$	−9.02988	−	11.3231i	−0.294993	−	0.369910i	0.612143	−	0.790747i	$-0.290308\pi$
$937$	−9.02988	−	11.3231i	−0.294993	−	0.369910i	−0.907136	+	0.420837i	$0.861736\pi$
$938$	−8.43509	+	94.0886i	−0.275415	+	3.07210i
$939$	22.2834	−	27.9425i	0.727191	−	0.911869i
$940$	0.418675	+	0.776732i	0.0136557	+	0.0253342i
$941$	−16.2386	−	12.9499i	−0.529364	−	0.422154i	0.321992	−	0.946742i	$-0.395648\pi$
$941$	−16.2386	−	12.9499i	−0.529364	−	0.422154i	−0.851356	+	0.524589i	$0.824219\pi$
$942$	−29.8472	+	31.2395i	−0.972475	+	1.01784i
$943$	−35.5599	−	8.11631i	−1.15799	−	0.264303i
$944$	46.3375	−	15.1274i	1.50816	−	0.492355i
$945$		−	6.73032i		−	0.218937i
$946$	3.76494	−	1.41450i	0.122409	−	0.0459895i
$947$	−38.8343	+	18.7016i	−1.26194	+	0.607721i	−0.940688	−	0.339272i	$-0.889819\pi$
$947$	−38.8343	+	18.7016i	−1.26194	+	0.607721i	−0.321256	+	0.946992i	$0.604105\pi$
$948$	11.0069	+	4.69549i	0.357486	+	0.152502i
$949$	−2.21128	−	2.77285i	−0.0717810	−	0.0900106i
$950$	13.3441	+	20.2001i	0.432939	+	0.655378i
$951$	−12.0468	+	52.7804i	−0.390643	+	1.71152i
$952$	−1.65913	−	9.08846i	−0.0537726	−	0.294559i
$953$	10.2114	−	4.91755i	0.330780	−	0.159295i	−0.261121	−	0.965306i	$-0.584092\pi$
$953$	10.2114	−	4.91755i	0.330780	−	0.159295i	0.591901	+	0.806011i	$0.298378\pi$
$954$	2.53991	−	1.67785i	0.0822326	−	0.0543224i
$955$	0.580721	+	2.54430i	0.0187917	+	0.0823318i
$956$	−23.2200	−	43.0780i	−0.750988	−	1.39324i
$957$	22.4863	−	16.1269i	0.726879	−	0.521309i
$958$	−16.1941	+	27.1258i	−0.523207	+	0.876395i
$959$	−68.1056	+	15.5447i	−2.19924	+	0.501963i
$960$	1.79126	−	3.01236i	0.0578128	−	0.0972234i
$961$	59.5579	−	28.6816i	1.92122	−	0.925212i
$962$	−6.03999	−	1.96018i	−0.194737	−	0.0631989i
$963$	4.13205	+	0.943113i	0.133153	+	0.0303914i
$964$	−0.541995	−	11.8837i	−0.0174565	−	0.382749i
$965$	3.02802	+	3.79702i	0.0974755	+	0.122230i
$966$	9.15816	+	67.4317i	0.294659	+	2.16958i
$967$	−18.8695	−	39.1829i	−0.606802	−	1.26004i	−0.947467	−	0.319853i	$-0.896367\pi$
$967$	−18.8695	−	39.1829i	−0.606802	−	1.26004i	0.340665	−	0.940185i	$-0.389348\pi$
$968$	0.286270	+	0.249579i	0.00920107	+	0.00802179i
$969$			4.11604i			0.132226i
$970$	−0.548626	+	0.206121i	−0.0176153	+	0.00661814i
$971$	7.48764	−	32.8055i	0.240290	−	1.05278i	−0.700464	−	0.713688i	$-0.747024\pi$
$971$	7.48764	−	32.8055i	0.240290	−	1.05278i	0.940754	−	0.339090i	$-0.110119\pi$
$972$	11.2523	−	3.11387i	0.360917	−	0.0998773i
$973$	−63.6115	−	50.7285i	−2.03929	−	1.62628i
$974$	44.3785	+	26.4940i	1.42198	+	0.848921i
$975$	−11.7271	−	9.35204i	−0.375568	−	0.299505i
$976$	4.60873	−	34.3832i	0.147522	−	1.10058i
$977$	−33.4412	−	41.9340i	−1.06988	−	1.34159i	−0.936558	−	0.350513i	$-0.886007\pi$
$977$	−33.4412	−	41.9340i	−1.06988	−	1.34159i	−0.133322	−	0.991073i	$-0.542564\pi$
$978$	−1.63315	−	12.0249i	−0.0522225	−	0.384515i
$979$	15.2971	−	31.7647i	0.488896	−	1.01520i
$980$	−1.72678	−	6.23988i	−0.0551599	−	0.199326i
$981$	−1.41547	+	0.323071i	−0.0451924	+	0.0103149i
$982$	−8.79910	−	0.788843i	−0.280791	−	0.0251730i
$983$	3.15037	−	6.54181i	0.100481	−	0.208651i	−0.844668	−	0.535291i	$-0.820202\pi$
$983$	3.15037	−	6.54181i	0.100481	−	0.208651i	0.945149	+	0.326640i	$0.105916\pi$
$984$	−4.02626	−	22.0553i	−0.128353	−	0.703098i
$985$	1.72740			0.0550394
$986$	−5.72364	−	0.809161i	−0.182278	−	0.0257689i
$987$		−	10.5313i		−	0.335216i
$988$	8.95774	+	10.2385i	0.284984	+	0.325732i
$989$	5.57572	+	2.68512i	0.177298	+	0.0853820i
$990$	−0.0666775	+	0.743750i	−0.00211915	+	0.0236379i
$991$	7.56983	+	33.1656i	0.240464	+	1.05354i	0.940596	+	0.339527i	$0.110267\pi$
$991$	7.56983	+	33.1656i	0.240464	+	1.05354i	−0.700132	+	0.714013i	$0.746876\pi$
$992$	−54.3242	+	12.4987i	−1.72479	+	0.396835i
$993$	−21.4642	−	10.3366i	−0.681145	−	0.328022i
$994$	−4.96768	−	36.5770i	−0.157565	−	1.16015i
$995$	2.37488	−	1.89391i	0.0752889	−	0.0600409i
$996$	2.72616	−	3.75774i	0.0863818	−	0.119069i
$997$	3.22765	−	4.04735i	0.102221	−	0.128181i	−0.728090	−	0.685482i	$-0.759592\pi$
$997$	3.22765	−	4.04735i	0.102221	−	0.128181i	0.830311	+	0.557301i	$0.188163\pi$
$998$	16.5723	−	27.7593i	0.524586	−	0.878704i
$999$	7.96798	−	9.99153i	0.252096	−	0.316118i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	232.2.o.a.109.12	yes	168
4.3	odd	2		928.2.be.a.689.7		168
8.3	odd	2		928.2.be.a.689.22		168
8.5	even	2	inner	232.2.o.a.109.8	✓	168
29.4	even	14	inner	232.2.o.a.149.8	yes	168
116.91	odd	14		928.2.be.a.497.22		168
232.91	odd	14		928.2.be.a.497.7		168
232.149	even	14	inner	232.2.o.a.149.12	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
232.2.o.a.109.8	✓	168	8.5	even	2	inner
232.2.o.a.109.12	yes	168	1.1	even	1	trivial
232.2.o.a.149.8	yes	168	29.4	even	14	inner
232.2.o.a.149.12	yes	168	232.149	even	14	inner
928.2.be.a.497.7		168	232.91	odd	14
928.2.be.a.497.22		168	116.91	odd	14
928.2.be.a.689.7		168	4.3	odd	2
928.2.be.a.689.22		168	8.3	odd	2

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:	\( N \)	\(=\)	\( 232 = 2^{3} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	232.o (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.436547 + 1.34515i) q^{2} +(1.40448 + 0.676360i) q^{3} +(-1.61885 - 1.17444i) q^{4} +(0.273986 - 0.0625356i) q^{5} +(-1.52292 + 1.59397i) q^{6} +(3.87720 + 1.86716i) q^{7} +(2.28651 - 1.66490i) q^{8} +(-0.355381 - 0.445633i) q^{9} +O(q^{10})\)	\(q+(-0.436547 + 1.34515i) q^{2} +(1.40448 + 0.676360i) q^{3} +(-1.61885 - 1.17444i) q^{4} +(0.273986 - 0.0625356i) q^{5} +(-1.52292 + 1.59397i) q^{6} +(3.87720 + 1.86716i) q^{7} +(2.28651 - 1.66490i) q^{8} +(-0.355381 - 0.445633i) q^{9} +(-0.0354883 + 0.395852i) q^{10} +(-2.05522 + 2.57717i) q^{11} +(-1.47929 - 2.74440i) q^{12} +(1.52873 + 1.21912i) q^{13} +(-4.20419 + 4.40031i) q^{14} +(0.427104 + 0.0974836i) q^{15} +(1.24137 + 3.80250i) q^{16} -0.759024i q^{17} +(0.754584 - 0.283500i) q^{18} +(-3.13422 + 1.50936i) q^{19} +(-0.516988 - 0.220545i) q^{20} +(4.18256 + 5.24476i) q^{21} +(-2.56947 - 3.88964i) q^{22} +(1.59616 - 6.99322i) q^{23} +(4.33741 - 0.791808i) q^{24} +(-4.43369 + 2.13515i) q^{25} +(-2.30726 + 1.52417i) q^{26} +(-1.23835 - 5.42555i) q^{27} +(-4.08374 - 7.57621i) q^{28} +(-5.30444 + 0.928955i) q^{29} +(-0.317581 + 0.531962i) q^{30} +(9.60709 - 2.19275i) q^{31} +(-5.65685 + 0.00985374i) q^{32} +(-4.62960 + 2.22950i) q^{33} +(1.02100 + 0.331350i) q^{34} +(1.17906 + 0.269114i) q^{35} +(0.0519382 + 1.13879i) q^{36} +(1.43178 + 1.79540i) q^{37} +(-0.662079 - 4.87490i) q^{38} +(1.32250 + 2.74620i) q^{39} +(0.522356 - 0.599147i) q^{40} -5.08490i q^{41} +(-8.88087 + 3.33658i) q^{42} +(-0.191980 + 0.841121i) q^{43} +(6.35384 - 1.75831i) q^{44} +(-0.125237 - 0.0998735i) q^{45} +(8.71013 + 5.19994i) q^{46} +(-1.22739 - 0.978815i) q^{47} +(-0.828387 + 6.18013i) q^{48} +(7.18196 + 9.00589i) q^{49} +(-0.936582 - 6.89606i) q^{50} +(0.513373 - 1.06603i) q^{51} +(-1.04300 - 3.76898i) q^{52} +(3.68168 - 0.840321i) q^{53} +(7.83876 + 0.702749i) q^{54} +(-0.401938 + 0.834633i) q^{55} +(11.9739 - 2.18587i) q^{56} -5.42280 q^{57} +(1.06605 - 7.54079i) q^{58} -12.1861i q^{59} +(-0.576929 - 0.659420i) q^{60} +(-7.81380 - 3.76293i) q^{61} +(-1.24437 + 13.8802i) q^{62} +(-0.545813 - 2.39136i) q^{63} +(2.45623 - 7.61360i) q^{64} +(0.495090 + 0.238423i) q^{65} +(-0.977967 - 7.20078i) q^{66} +(12.1357 - 9.67791i) q^{67} +(-0.891431 + 1.22875i) q^{68} +(6.97170 - 8.74224i) q^{69} +(-0.876715 + 1.46854i) q^{70} +(-3.78167 + 4.74206i) q^{71} +(-1.55451 - 0.427271i) q^{72} +(-1.76835 - 0.403614i) q^{73} +(-3.04012 + 1.14219i) q^{74} -7.67113 q^{75} +(6.84649 + 1.23753i) q^{76} +(-12.7805 + 6.15476i) q^{77} +(-4.27138 + 0.580113i) q^{78} +(-3.00088 + 2.39312i) q^{79} +(0.577909 + 0.964203i) q^{80} +(1.54989 - 6.79053i) q^{81} +(6.83995 + 2.21980i) q^{82} +(0.646084 + 1.34161i) q^{83} +(-0.611273 - 13.4027i) q^{84} +(-0.0474660 - 0.207962i) q^{85} +(-1.04762 - 0.625432i) q^{86} +(-8.07826 - 2.28301i) q^{87} +(-0.408558 + 9.31444i) q^{88} +(-10.4274 + 2.38000i) q^{89} +(0.189017 - 0.124863i) q^{90} +(3.65090 + 7.58116i) q^{91} +(-10.7971 + 9.44640i) q^{92} +(14.9760 + 3.41818i) q^{93} +(1.85247 - 1.22373i) q^{94} +(-0.764344 + 0.609544i) q^{95} +(-7.95157 - 3.81222i) q^{96} +(0.639809 + 1.32858i) q^{97} +(-15.2495 + 5.72931i) q^{98} +1.87886 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q - 7 q^{2} - 3 q^{4} - 7 q^{6} - 6 q^{7} - 28 q^{8} - 34 q^{9}+O(q^{10}) \) 168 * q - 7 * q^2 - 3 * q^4 - 7 * q^6 - 6 * q^7 - 28 * q^8 - 34 * q^9	\( 168 q - 7 q^{2} - 3 q^{4} - 7 q^{6} - 6 q^{7} - 28 q^{8} - 34 q^{9} - 7 q^{10} - 7 q^{14} - 14 q^{15} + 5 q^{16} - 56 q^{18} - 27 q^{20} - 12 q^{22} - 6 q^{23} + 9 q^{24} + 14 q^{25} - 7 q^{26} + 16 q^{28} - 22 q^{30} - 14 q^{31} - 42 q^{32} + 2 q^{33} - 5 q^{34} + 4 q^{36} + 58 q^{38} + 70 q^{39} - 7 q^{40} - 32 q^{42} - 14 q^{44} - 14 q^{47} - 84 q^{48} - 26 q^{49} + 42 q^{50} + 16 q^{52} + 40 q^{54} - 14 q^{55} - 7 q^{56} - 12 q^{57} + 53 q^{58} - 126 q^{60} + 57 q^{62} + 50 q^{63} - 30 q^{64} - 60 q^{65} + 133 q^{66} - 28 q^{68} - 46 q^{71} - 119 q^{72} - 84 q^{73} - 40 q^{74} - 77 q^{76} + 29 q^{78} - 154 q^{79} + 66 q^{80} - 26 q^{81} - 48 q^{82} + 63 q^{84} - 32 q^{86} - 46 q^{87} - 10 q^{88} - 14 q^{89} + 140 q^{90} + 20 q^{92} - 26 q^{94} - 14 q^{95} + 136 q^{96} + 28 q^{98}+O(q^{100}) \) 168 * q - 7 * q^2 - 3 * q^4 - 7 * q^6 - 6 * q^7 - 28 * q^8 - 34 * q^9 - 7 * q^10 - 7 * q^14 - 14 * q^15 + 5 * q^16 - 56 * q^18 - 27 * q^20 - 12 * q^22 - 6 * q^23 + 9 * q^24 + 14 * q^25 - 7 * q^26 + 16 * q^28 - 22 * q^30 - 14 * q^31 - 42 * q^32 + 2 * q^33 - 5 * q^34 + 4 * q^36 + 58 * q^38 + 70 * q^39 - 7 * q^40 - 32 * q^42 - 14 * q^44 - 14 * q^47 - 84 * q^48 - 26 * q^49 + 42 * q^50 + 16 * q^52 + 40 * q^54 - 14 * q^55 - 7 * q^56 - 12 * q^57 + 53 * q^58 - 126 * q^60 + 57 * q^62 + 50 * q^63 - 30 * q^64 - 60 * q^65 + 133 * q^66 - 28 * q^68 - 46 * q^71 - 119 * q^72 - 84 * q^73 - 40 * q^74 - 77 * q^76 + 29 * q^78 - 154 * q^79 + 66 * q^80 - 26 * q^81 - 48 * q^82 + 63 * q^84 - 32 * q^86 - 46 * q^87 - 10 * q^88 - 14 * q^89 + 140 * q^90 + 20 * q^92 - 26 * q^94 - 14 * q^95 + 136 * q^96 + 28 * q^98

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