LMFDB - Embedded newform 429.2.bj.a.73.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [429,2,Mod(73,429)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(429, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 14, 5]))

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

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

chi := DirichletCharacter("429.73");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 429 = 3 \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	429.bj (of order $20$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.42558224671$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$14$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			73.2
Character	$\chi$	$=$	429.73
Dual form			429.2.bj.a.382.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.45153 + 0.388283i) q^{2} +(0.309017 - 0.951057i) q^{3} +(3.95710 - 1.28574i) q^{4} +(-1.53570 - 0.243230i) q^{5} +(-0.388283 + 2.45153i) q^{6} +(2.15383 - 4.22713i) q^{7} +(-4.77859 + 2.43481i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})$	\(q+(-2.45153 + 0.388283i) q^{2} +(0.309017 - 0.951057i) q^{3} +(3.95710 - 1.28574i) q^{4} +(-1.53570 - 0.243230i) q^{5} +(-0.388283 + 2.45153i) q^{6} +(2.15383 - 4.22713i) q^{7} +(-4.77859 + 2.43481i) q^{8} +(-0.809017 - 0.587785i) q^{9} +3.85924 q^{10} +(-1.97453 - 2.66481i) q^{11} -4.16074i q^{12} +(-2.23897 + 2.82613i) q^{13} +(-3.63885 + 11.1992i) q^{14} +(-0.705882 + 1.38537i) q^{15} +(4.03722 - 2.93321i) q^{16} +(5.22552 - 3.79657i) q^{17} +(2.21155 + 1.12684i) q^{18} +(-0.762757 - 1.49700i) q^{19} +(-6.38963 + 1.01202i) q^{20} +(-3.35467 - 3.35467i) q^{21} +(5.87532 + 5.76617i) q^{22} +7.10691i q^{23} +(0.838979 + 5.29711i) q^{24} +(-2.45608 - 0.798029i) q^{25} +(4.39156 - 7.79768i) q^{26} +(-0.809017 + 0.587785i) q^{27} +(3.08793 - 19.4964i) q^{28} +(-1.26607 + 0.411371i) q^{29} +(1.19257 - 3.67036i) q^{30} +(0.931429 + 5.88081i) q^{31} +(-1.17380 + 1.17380i) q^{32} +(-3.14455 + 1.05442i) q^{33} +(-11.3364 + 11.3364i) q^{34} +(-4.33580 + 5.96772i) q^{35} +(-3.95710 - 1.28574i) q^{36} +(-3.16302 - 1.61164i) q^{37} +(2.45118 + 3.37376i) q^{38} +(1.99593 + 3.00271i) q^{39} +(7.93068 - 2.57684i) q^{40} +(-4.87531 - 9.56833i) q^{41} +(9.52663 + 6.92150i) q^{42} -4.13946 q^{43} +(-11.2397 - 8.00618i) q^{44} +(1.09944 + 1.09944i) q^{45} +(-2.75950 - 17.4228i) q^{46} +(-1.59115 - 3.12281i) q^{47} +(-1.54208 - 4.74603i) q^{48} +(-9.11516 - 12.5459i) q^{49} +(6.33100 + 1.00273i) q^{50} +(-1.99597 - 6.14297i) q^{51} +(-5.22617 + 14.0620i) q^{52} +(2.65006 + 1.92538i) q^{53} +(1.75510 - 1.75510i) q^{54} +(2.38412 + 4.57261i) q^{55} +25.4439i q^{56} +(-1.65943 + 0.262828i) q^{57} +(2.94407 - 1.50008i) q^{58} +(-9.52133 - 4.85136i) q^{59} +(-1.01202 + 6.38963i) q^{60} +(-3.05722 - 4.20790i) q^{61} +(-4.56684 - 14.0553i) q^{62} +(-4.22713 + 2.15383i) q^{63} +(-3.44458 + 4.74106i) q^{64} +(4.12578 - 3.79549i) q^{65} +(7.29953 - 3.80592i) q^{66} +(1.02140 + 1.02140i) q^{67} +(15.7965 - 21.7420i) q^{68} +(6.75907 + 2.19616i) q^{69} +(8.31216 - 16.3135i) q^{70} +(-0.195448 - 0.0309560i) q^{71} +(5.29711 + 0.838979i) q^{72} +(3.10491 - 6.09372i) q^{73} +(8.38001 + 2.72283i) q^{74} +(-1.51794 + 2.08927i) q^{75} +(-4.94305 - 4.94305i) q^{76} +(-15.5173 + 2.60707i) q^{77} +(-6.05897 - 6.58624i) q^{78} +(4.42528 - 6.09088i) q^{79} +(-6.91339 + 3.52255i) q^{80} +(0.309017 + 0.951057i) q^{81} +(15.6672 + 21.5640i) q^{82} +(-2.27613 + 14.3709i) q^{83} +(-17.5880 - 8.96153i) q^{84} +(-8.94826 + 4.55937i) q^{85} +(10.1480 - 1.60728i) q^{86} +1.33122i q^{87} +(15.9238 + 7.92641i) q^{88} +(1.27747 - 1.27747i) q^{89} +(-3.12219 - 2.26840i) q^{90} +(7.12405 + 15.5514i) q^{91} +(9.13763 + 28.1227i) q^{92} +(5.88081 + 0.931429i) q^{93} +(5.11329 + 7.03784i) q^{94} +(0.807249 + 2.48446i) q^{95} +(0.753627 + 1.47908i) q^{96} +(2.07317 + 13.0895i) q^{97} +(27.2174 + 27.2174i) q^{98} +(0.0310957 + 3.31648i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9}+O(q^{10}) $ 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9	$ 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9} - 10 q^{11} + 10 q^{13} - 60 q^{14} + 4 q^{15} + 80 q^{16} - 74 q^{20} + 8 q^{22} + 30 q^{24} + 38 q^{26} - 28 q^{27} - 20 q^{29} - 8 q^{31} + 20 q^{33} - 48 q^{34} + 20 q^{35} + 12 q^{37} - 10 q^{39} + 40 q^{40} - 110 q^{41} + 20 q^{42} - 36 q^{44} + 4 q^{45} - 20 q^{46} - 30 q^{47} - 20 q^{48} + 90 q^{50} - 10 q^{52} + 52 q^{53} - 64 q^{55} + 30 q^{57} + 24 q^{58} - 36 q^{59} - 74 q^{60} - 60 q^{61} + 48 q^{66} + 60 q^{67} + 60 q^{68} + 116 q^{70} + 20 q^{71} - 30 q^{72} + 70 q^{73} + 120 q^{74} - 52 q^{78} - 120 q^{79} + 8 q^{80} - 28 q^{81} + 30 q^{83} + 30 q^{84} - 40 q^{85} + 62 q^{86} + 48 q^{89} - 4 q^{91} - 144 q^{92} - 8 q^{93} - 20 q^{94} + 82 q^{97} - 10 q^{99}+O(q^{100}) $ 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9 - 10 * q^11 + 10 * q^13 - 60 * q^14 + 4 * q^15 + 80 * q^16 - 74 * q^20 + 8 * q^22 + 30 * q^24 + 38 * q^26 - 28 * q^27 - 20 * q^29 - 8 * q^31 + 20 * q^33 - 48 * q^34 + 20 * q^35 + 12 * q^37 - 10 * q^39 + 40 * q^40 - 110 * q^41 + 20 * q^42 - 36 * q^44 + 4 * q^45 - 20 * q^46 - 30 * q^47 - 20 * q^48 + 90 * q^50 - 10 * q^52 + 52 * q^53 - 64 * q^55 + 30 * q^57 + 24 * q^58 - 36 * q^59 - 74 * q^60 - 60 * q^61 + 48 * q^66 + 60 * q^67 + 60 * q^68 + 116 * q^70 + 20 * q^71 - 30 * q^72 + 70 * q^73 + 120 * q^74 - 52 * q^78 - 120 * q^79 + 8 * q^80 - 28 * q^81 + 30 * q^83 + 30 * q^84 - 40 * q^85 + 62 * q^86 + 48 * q^89 - 4 * q^91 - 144 * q^92 - 8 * q^93 - 20 * q^94 + 82 * q^97 - 10 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/429\mathbb{Z}\right)^\times$.

$n$	$67$	$79$	$287$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{7}{10}\right)$	$1$

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 $

$2$	−2.45153	+	0.388283i	−1.73349	+	0.274558i	−0.941753	−	0.336305i	$-0.890823\pi$
$2$	−2.45153	+	0.388283i	−1.73349	+	0.274558i	−0.791737	+	0.610862i	$0.790823\pi$
$3$	0.309017	−	0.951057i	0.178411	−	0.549093i
$3$	0.309017	−	0.951057i	0.178411	−	0.549093i
$4$	3.95710	−	1.28574i	1.97855	−	0.642870i
$5$	−1.53570	−	0.243230i	−0.686784	−	0.108776i	−0.196717	−	0.980460i	$-0.563028\pi$
$5$	−1.53570	−	0.243230i	−0.686784	−	0.108776i	−0.490068	+	0.871684i	$0.663028\pi$
$6$	−0.388283	+	2.45153i	−0.158516	+	1.00083i
$7$	2.15383	−	4.22713i	0.814072	−	1.59771i	0.0124140	−	0.999923i	$-0.496048\pi$
$7$	2.15383	−	4.22713i	0.814072	−	1.59771i	0.801658	−	0.597783i	$-0.203952\pi$
$8$	−4.77859	+	2.43481i	−1.68949	+	0.860836i
$9$	−0.809017	−	0.587785i	−0.269672	−	0.195928i
$10$	3.85924			1.22040
$11$	−1.97453	−	2.66481i	−0.595345	−	0.803471i
$11$	−1.97453	−	2.66481i	−0.595345	−	0.803471i
$12$		−	4.16074i		−	1.20110i
$13$	−2.23897	+	2.82613i	−0.620979	+	0.783827i
$13$	−2.23897	+	2.82613i	−0.620979	+	0.783827i
$14$	−3.63885	+	11.1992i	−0.972523	+	2.99312i
$15$	−0.705882	+	1.38537i	−0.182258	+	0.357701i
$16$	4.03722	−	2.93321i	1.00930	−	0.733302i
$17$	5.22552	−	3.79657i	1.26738	−	0.920803i	0.268281	−	0.963341i	$-0.413544\pi$
$17$	5.22552	−	3.79657i	1.26738	−	0.920803i	0.999095	+	0.0425382i	$0.0135444\pi$
$18$	2.21155	+	1.12684i	0.521268	+	0.265599i
$19$	−0.762757	−	1.49700i	−0.174989	−	0.343434i	0.786809	−	0.617197i	$-0.211732\pi$
$19$	−0.762757	−	1.49700i	−0.174989	−	0.343434i	−0.961797	+	0.273763i	$0.911732\pi$
$20$	−6.38963	+	1.01202i	−1.42877	+	0.226294i
$21$	−3.35467	−	3.35467i	−0.732049	−	0.732049i
$22$	5.87532	+	5.76617i	1.25262	+	1.22935i
$23$			7.10691i			1.48189i	0.671564	+	0.740946i	$0.265623\pi$
$23$			7.10691i			1.48189i	−0.671564	+	0.740946i	$0.734377\pi$
$24$	0.838979	+	5.29711i	0.171256	+	1.08127i
$25$	−2.45608	−	0.798029i	−0.491216	−	0.159606i
$26$	4.39156	−	7.79768i	0.861255	−	1.52925i
$27$	−0.809017	+	0.587785i	−0.155695	+	0.113119i
$28$	3.08793	−	19.4964i	0.583565	−	3.68448i
$29$	−1.26607	+	0.411371i	−0.235103	+	0.0763897i	−0.424199	−	0.905569i	$-0.639444\pi$
$29$	−1.26607	+	0.411371i	−0.235103	+	0.0763897i	0.189096	+	0.981959i	$0.439444\pi$
$30$	1.19257	−	3.67036i	0.217733	−	0.670112i
$31$	0.931429	+	5.88081i	0.167290	+	1.05622i	0.918286	+	0.395918i	$0.129574\pi$
$31$	0.931429	+	5.88081i	0.167290	+	1.05622i	−0.750996	+	0.660307i	$0.770426\pi$
$32$	−1.17380	+	1.17380i	−0.207501	+	0.207501i
$33$	−3.14455	+	1.05442i	−0.547396	+	0.183551i
$34$	−11.3364	+	11.3364i	−1.94417	+	1.94417i
$35$	−4.33580	+	5.96772i	−0.732884	+	1.00873i
$36$	−3.95710	−	1.28574i	−0.659516	−	0.214290i
$37$	−3.16302	−	1.61164i	−0.519998	−	0.264952i	0.174233	−	0.984704i	$-0.444255\pi$
$37$	−3.16302	−	1.61164i	−0.519998	−	0.264952i	−0.694231	+	0.719752i	$0.744255\pi$
$38$	2.45118	+	3.37376i	0.397633	+	0.547295i
$39$	1.99593	+	3.00271i	0.319604	+	0.480819i
$40$	7.93068	−	2.57684i	1.25395	−	0.407433i
$41$	−4.87531	−	9.56833i	−0.761395	−	1.49432i	−0.866128	−	0.499821i	$-0.833399\pi$
$41$	−4.87531	−	9.56833i	−0.761395	−	1.49432i	0.104733	−	0.994500i	$-0.466601\pi$
$42$	9.52663	+	6.92150i	1.46999	+	1.06801i
$43$	−4.13946			−0.631261			−0.315631	−	0.948882i	$-0.602216\pi$
$43$	−4.13946			−0.631261			−0.315631	+	0.948882i	$0.602216\pi$
$44$	−11.2397	−	8.00618i	−1.69445	−	1.20698i
$45$	1.09944	+	1.09944i	0.163894	+	0.163894i
$46$	−2.75950	−	17.4228i	−0.406865	−	2.56885i
$47$	−1.59115	−	3.12281i	−0.232094	−	0.455509i	0.745359	−	0.666663i	$-0.232278\pi$
$47$	−1.59115	−	3.12281i	−0.232094	−	0.455509i	−0.977453	+	0.211154i	$0.932278\pi$
$48$	−1.54208	−	4.74603i	−0.222580	−	0.685031i
$49$	−9.11516	−	12.5459i	−1.30217	−	1.79228i
$50$	6.33100	+	1.00273i	0.895339	+	0.141808i
$51$	−1.99597	−	6.14297i	−0.279492	−	0.860188i
$52$	−5.22617	+	14.0620i	−0.724739	+	1.95005i
$53$	2.65006	+	1.92538i	0.364013	+	0.264471i	0.754724	−	0.656042i	$-0.227771\pi$
$53$	2.65006	+	1.92538i	0.364013	+	0.264471i	−0.390711	+	0.920514i	$0.627771\pi$
$54$	1.75510	−	1.75510i	0.238839	−	0.238839i
$55$	2.38412	+	4.57261i	0.321475	+	0.616570i
$56$			25.4439i			3.40009i
$57$	−1.65943	+	0.262828i	−0.219797	+	0.0348125i
$58$	2.94407	−	1.50008i	0.386576	−	0.196970i
$59$	−9.52133	−	4.85136i	−1.23957	−	0.631593i	−0.293626	−	0.955920i	$-0.594862\pi$
$59$	−9.52133	−	4.85136i	−1.23957	−	0.631593i	−0.945945	+	0.324327i	$0.894862\pi$
$60$	−1.01202	+	6.38963i	−0.130651	+	0.824898i
$61$	−3.05722	−	4.20790i	−0.391436	−	0.538766i	0.567133	−	0.823627i	$-0.308053\pi$
$61$	−3.05722	−	4.20790i	−0.391436	−	0.538766i	−0.958569	+	0.284861i	$0.908053\pi$
$62$	−4.56684	−	14.0553i	−0.579990	−	1.78502i
$63$	−4.22713	+	2.15383i	−0.532569	+	0.271357i
$64$	−3.44458	+	4.74106i	−0.430573	+	0.592633i
$65$	4.12578	−	3.79549i	0.511740	−	0.470773i
$66$	7.29953	−	3.80592i	0.898510	−	0.468476i
$67$	1.02140	+	1.02140i	0.124783	+	0.124783i	0.766741	−	0.641957i	$-0.221877\pi$
$67$	1.02140	+	1.02140i	0.124783	+	0.124783i	−0.641957	+	0.766741i	$0.721877\pi$
$68$	15.7965	−	21.7420i	1.91561	−	2.63661i
$69$	6.75907	+	2.19616i	0.813697	+	0.264386i
$70$	8.31216	−	16.3135i	0.993493	−	1.94984i
$71$	−0.195448	−	0.0309560i	−0.0231955	−	0.00367380i	0.144826	−	0.989457i	$-0.453738\pi$
$71$	−0.195448	−	0.0309560i	−0.0231955	−	0.00367380i	−0.168021	+	0.985783i	$0.553738\pi$
$72$	5.29711	+	0.838979i	0.624270	+	0.0988747i
$73$	3.10491	−	6.09372i	0.363402	−	0.713216i	−0.634830	−	0.772652i	$-0.718930\pi$
$73$	3.10491	−	6.09372i	0.363402	−	0.713216i	0.998232	+	0.0594354i	$0.0189300\pi$
$74$	8.38001	+	2.72283i	0.974156	+	0.316522i
$75$	−1.51794	+	2.08927i	−0.175277	+	0.241248i
$76$	−4.94305	−	4.94305i	−0.567007	−	0.567007i
$77$	−15.5173	+	2.60707i	−1.76836	+	0.297103i
$78$	−6.05897	−	6.58624i	−0.686043	−	0.745744i
$79$	4.42528	−	6.09088i	0.497883	−	0.685277i	−0.483935	−	0.875104i	$-0.660793\pi$
$79$	4.42528	−	6.09088i	0.497883	−	0.685277i	0.981818	+	0.189827i	$0.0607927\pi$
$80$	−6.91339	+	3.52255i	−0.772940	+	0.393833i
$81$	0.309017	+	0.951057i	0.0343352	+	0.105673i
$82$	15.6672	+	21.5640i	1.73015	+	2.38134i
$83$	−2.27613	+	14.3709i	−0.249838	+	1.57741i	0.469614	+	0.882872i	$0.344393\pi$
$83$	−2.27613	+	14.3709i	−0.249838	+	1.57741i	−0.719452	+	0.694542i	$0.755607\pi$
$84$	−17.5880	−	8.96153i	−1.91901	−	0.977783i
$85$	−8.94826	+	4.55937i	−0.970575	+	0.494533i
$86$	10.1480	−	1.60728i	1.09428	−	0.173318i
$87$			1.33122i			0.142722i
$88$	15.9238	+	7.92641i	1.69748	+	0.844958i
$89$	1.27747	−	1.27747i	0.135412	−	0.135412i	−0.636152	−	0.771564i	$-0.719475\pi$
$89$	1.27747	−	1.27747i	0.135412	−	0.135412i	0.771564	+	0.636152i	$0.219475\pi$
$90$	−3.12219	−	2.26840i	−0.329108	−	0.239111i
$91$	7.12405	+	15.5514i	0.746804	+	1.63023i
$92$	9.13763	+	28.1227i	0.952664	+	2.93200i
$93$	5.88081	+	0.931429i	0.609812	+	0.0965847i
$94$	5.11329	+	7.03784i	0.527395	+	0.725898i
$95$	0.807249	+	2.48446i	0.0828220	+	0.254900i
$96$	0.753627	+	1.47908i	0.0769167	+	0.150958i
$97$	2.07317	+	13.0895i	0.210498	+	1.32903i	0.835965	+	0.548782i	$0.184908\pi$
$97$	2.07317	+	13.0895i	0.210498	+	1.32903i	−0.625467	+	0.780250i	$0.715092\pi$
$98$	27.2174	+	27.2174i	2.74938	+	2.74938i
$99$	0.0310957	+	3.31648i	0.00312524	+	0.333319i
$100$	−10.7450			−1.07450
$101$	1.66462	+	1.20941i	0.165635	+	0.120341i	0.667515	−	0.744596i	$-0.267358\pi$
$101$	1.66462	+	1.20941i	0.165635	+	0.120341i	−0.501880	+	0.864937i	$0.667358\pi$
$102$	7.27839	+	14.2846i	0.720668	+	1.41439i
$103$	16.3174	−	5.30186i	1.60781	−	0.522408i	0.638785	−	0.769386i	$-0.279437\pi$
$103$	16.3174	−	5.30186i	1.60781	−	0.522408i	0.969021	+	0.246978i	$0.0794375\pi$
$104$	3.81803	−	18.9564i	0.374389	−	1.85883i
$105$	4.33580	+	5.96772i	0.423131	+	0.582389i
$106$	−7.24428	−	3.69114i	−0.703626	−	0.358516i
$107$	4.76294	+	1.54757i	0.460450	+	0.149609i	0.530051	−	0.847966i	$-0.322173\pi$
$107$	4.76294	+	1.54757i	0.460450	+	0.149609i	−0.0696011	+	0.997575i	$0.522173\pi$
$108$	−2.44562	+	3.36611i	−0.235330	+	0.323904i
$109$	−0.207742	+	0.207742i	−0.0198980	+	0.0198980i	−0.716986	−	0.697088i	$-0.754479\pi$
$109$	−0.207742	+	0.207742i	−0.0198980	+	0.0198980i	0.697088	+	0.716986i	$0.254479\pi$
$110$	−7.62020	−	10.2841i	−0.726558	−	0.980555i
$111$	−2.51019	+	2.51019i	−0.238257	+	0.238257i
$112$	−3.70358	−	23.3835i	−0.349956	−	2.20953i
$113$	2.86732	−	8.82471i	0.269735	−	0.830159i	−0.720830	−	0.693112i	$-0.756239\pi$
$113$	2.86732	−	8.82471i	0.269735	−	0.830159i	0.990565	−	0.137046i	$-0.0437609\pi$
$114$	3.96609	−	1.28866i	0.371458	−	0.120694i
$115$	1.72862	−	10.9141i	0.161194	−	1.01774i
$116$	−4.48105	+	3.25567i	−0.416055	+	0.302281i
$117$	3.47252	−	0.970351i	0.321035	−	0.0897090i
$118$	25.2255	+	8.19625i	2.32219	+	0.754526i
$119$	−4.79369	−	30.2662i	−0.439437	−	2.77449i
$120$		−	8.33881i		−	0.761226i
$121$	−3.20243	+	10.5235i	−0.291130	+	0.956684i
$122$	9.12870	+	9.12870i	0.826474	+	0.826474i
$123$	−10.6066	+	1.67992i	−0.956363	+	0.151473i
$124$	11.2469	+	22.0734i	1.01001	+	1.98225i
$125$	10.5045	+	5.35233i	0.939555	+	0.478727i
$126$	9.52663	−	6.92150i	0.848699	−	0.616616i
$127$	2.12968	−	1.54731i	0.188979	−	0.137301i	−0.489273	−	0.872131i	$-0.662738\pi$
$127$	2.12968	−	1.54731i	0.188979	−	0.137301i	0.678252	+	0.734829i	$0.262738\pi$
$128$	8.11086	−	15.9185i	0.716906	−	1.40701i
$129$	−1.27916	+	3.93686i	−0.112624	+	0.346621i
$130$	−8.64073	+	10.9067i	−0.757842	+	0.956582i
$131$		−	12.6186i		−	1.10249i	−0.834344	−	0.551245i	$-0.814153\pi$
$131$		−	12.6186i		−	1.10249i	0.834344	−	0.551245i	$-0.185847\pi$
$132$	−11.0876	+	8.21552i	−0.965050	+	0.715070i
$133$	−7.97085			−0.691160
$134$	−2.90057	−	2.10739i	−0.250571	−	0.182051i
$135$	1.38537	−	0.705882i	0.119234	−	0.0607527i
$136$	−15.7267	+	30.8654i	−1.34855	+	2.64669i
$137$	−1.39328	+	8.79680i	−0.119036	+	0.751561i	0.853892	+	0.520450i	$0.174236\pi$
$137$	−1.39328	+	8.79680i	−0.119036	+	0.751561i	−0.972927	+	0.231111i	$0.925764\pi$
$138$	−17.4228	−	2.75950i	−1.48312	−	0.234904i
$139$	−9.62171	+	3.12628i	−0.816103	+	0.265168i	−0.687180	−	0.726487i	$-0.741152\pi$
$139$	−9.62171	+	3.12628i	−0.816103	+	0.265168i	−0.128922	+	0.991655i	$0.541152\pi$
$140$	−9.48426	+	29.1895i	−0.801566	+	2.46697i
$141$	−3.46167	+	0.548274i	−0.291525	+	0.0461730i
$142$	0.491166			0.0412178
$143$	11.9520	+	0.386147i	0.999479	+	0.0322913i
$144$	−4.99027			−0.415856
$145$	2.04436	−	0.323794i	0.169775	−	0.0268897i
$146$	−5.24566	+	16.1445i	−0.434134	+	1.33613i
$147$	−14.7486	+	4.79213i	−1.21645	+	0.395248i
$148$	−14.5885	−	2.31060i	−1.19917	−	0.189930i
$149$	2.65323	−	16.7518i	0.217361	−	1.37236i	−0.601731	−	0.798699i	$-0.705522\pi$
$149$	2.65323	−	16.7518i	0.217361	−	1.37236i	0.819091	−	0.573663i	$-0.194478\pi$
$150$	2.91004	−	5.71128i	0.237604	−	0.466324i
$151$	−2.22050	+	1.13140i	−0.180702	+	0.0920722i	−0.542001	−	0.840378i	$-0.682333\pi$
$151$	−2.22050	+	1.13140i	−0.180702	+	0.0920722i	0.361299	+	0.932450i	$0.382333\pi$
$152$	7.28981	+	5.29636i	0.591281	+	0.429591i
$153$	−6.45910			−0.522188
$154$	37.0288	−	12.4164i	2.98387	−	1.00054i
$155$		−	9.25769i		−	0.743596i
$156$	11.7588	+	9.31578i	0.941456	+	0.745859i
$157$	6.71537	−	20.6678i	0.535945	−	1.64947i	−0.205655	−	0.978625i	$-0.565932\pi$
$157$	6.71537	−	20.6678i	0.535945	−	1.64947i	0.741599	−	0.670843i	$-0.234068\pi$
$158$	−8.48370	+	16.6502i	−0.674927	+	1.32462i
$159$	2.65006	−	1.92538i	0.210163	−	0.152693i
$160$	2.08811	−	1.51710i	0.165079	−	0.119937i
$161$	30.0418	+	15.3071i	2.36763	+	1.20637i
$162$	−1.12684	−	2.21155i	−0.0885331	−	0.173756i
$163$	−20.0160	+	3.17022i	−1.56777	+	0.248311i	−0.879056	−	0.476719i	$-0.841826\pi$
$163$	−20.0160	+	3.17022i	−1.56777	+	0.248311i	−0.688718	+	0.725030i	$0.741826\pi$
$164$	−31.5944	−	31.5944i	−2.46711	−	2.46711i
$165$	5.08554	−	0.854422i	0.395909	−	0.0665167i
$166$		−	36.1145i		−	2.80303i
$167$	0.412648	+	2.60535i	0.0319316	+	0.201608i	0.998497	−	0.0548134i	$-0.0174564\pi$
$167$	0.412648	+	2.60535i	0.0319316	+	0.201608i	−0.966565	+	0.256422i	$0.917456\pi$
$168$	24.1986	+	7.86260i	1.86696	+	0.606613i
$169$	−2.97401	−	12.6552i	−0.228770	−	0.973481i
$170$	20.1666	−	14.6519i	1.54670	−	1.12375i
$171$	−0.262828	+	1.65943i	−0.0200990	+	0.126900i
$172$	−16.3802	+	5.32226i	−1.24898	+	0.405819i
$173$	−1.17089	+	3.60363i	−0.0890211	+	0.273979i	−0.985649	−	0.168805i	$-0.946009\pi$
$173$	−1.17089	+	3.60363i	−0.0890211	+	0.273979i	0.896628	+	0.442784i	$0.146009\pi$
$174$	−0.516892	−	3.26353i	−0.0391855	−	0.247408i
$175$	−8.66336	+	8.66336i	−0.654888	+	0.654888i
$176$	−15.7881	−	4.96669i	−1.19007	−	0.374379i
$177$	−7.55617	+	7.55617i	−0.567956	+	0.567956i
$178$	−2.63574	+	3.62778i	−0.197557	+	0.271914i
$179$	9.50021	+	3.08681i	0.710079	+	0.230719i	0.641717	−	0.766942i	$-0.278223\pi$
$179$	9.50021	+	3.08681i	0.710079	+	0.230719i	0.0683626	+	0.997661i	$0.478223\pi$
$180$	5.76417	+	2.93699i	0.429636	+	0.218910i
$181$	−0.834019	−	1.14793i	−0.0619922	−	0.0853249i	0.776895	−	0.629630i	$-0.216793\pi$
$181$	−0.834019	−	1.14793i	−0.0619922	−	0.0853249i	−0.838887	+	0.544305i	$0.816793\pi$
$182$	−23.5032	−	35.3586i	−1.74217	−	2.62095i
$183$	−4.94668	+	1.60727i	−0.365669	+	0.118813i
$184$	−17.3040	−	33.9610i	−1.27567	−	2.50364i
$185$	4.46544	+	3.24434i	0.328306	+	0.238528i
$186$	−14.7786			−1.08362
$187$	−20.4351	−	6.42858i	−1.49436	−	0.470104i
$188$	−10.3115	−	10.3115i	−0.752041	−	0.752041i
$189$	0.742160	+	4.68581i	0.0539842	+	0.340843i
$190$	−2.94366	−	5.77727i	−0.213556	−	0.419127i
$191$	3.62613	+	11.1601i	0.262377	+	0.807514i	0.992286	+	0.123970i	$0.0395626\pi$
$191$	3.62613	+	11.1601i	0.262377	+	0.807514i	−0.729909	+	0.683545i	$0.760437\pi$
$192$	3.44458	+	4.74106i	0.248591	+	0.342157i
$193$	19.0041	+	3.00995i	1.36794	+	0.216661i	0.796827	−	0.604208i	$-0.206510\pi$
$193$	19.0041	+	3.00995i	1.36794	+	0.216661i	0.571117	+	0.820869i	$0.306510\pi$
$194$	−10.1648	−	31.2841i	−0.729793	−	2.24607i
$195$	−2.33479	−	5.09672i	−0.167198	−	0.364984i
$196$	−52.2004	−	37.9258i	−3.72860	−	2.70899i
$197$	13.3190	−	13.3190i	0.948942	−	0.948942i	−0.0498165	−	0.998758i	$-0.515864\pi$
$197$	13.3190	−	13.3190i	0.948942	−	0.948942i	0.998758	+	0.0498165i	$0.0158636\pi$
$198$	−1.36397	−	8.11836i	−0.0969328	−	0.576947i
$199$		−	19.0702i		−	1.35185i	−0.736970	−	0.675926i	$-0.763744\pi$
$199$		−	19.0702i		−	1.35185i	0.736970	−	0.675926i	$-0.236256\pi$
$200$	13.6796	−	2.16664i	0.967297	−	0.153205i
$201$	1.28704	−	0.655777i	0.0907805	−	0.0462550i
$202$	−4.55044	−	2.31857i	−0.320168	−	0.163134i
$203$	−0.987981	+	6.23787i	−0.0693427	+	0.437813i
$204$	−15.7965	−	21.7420i	−1.10598	−	1.52225i
$205$	5.15968	+	15.8799i	0.360368	+	1.10910i
$206$	−37.9440	+	19.3334i	−2.64368	+	1.34702i
$207$	4.17734	−	5.74961i	0.290345	−	0.399626i
$208$	−0.749588	+	17.9771i	−0.0519746	+	1.24649i
$209$	−2.48312	+	4.98847i	−0.171761	+	0.345060i
$210$	−12.9465	−	12.9465i	−0.893392	−	0.893392i
$211$	0.276877	−	0.381088i	0.0190610	−	0.0262352i	−0.799380	−	0.600826i	$-0.794839\pi$
$211$	0.276877	−	0.381088i	0.0190610	−	0.0262352i	0.818441	+	0.574590i	$0.194839\pi$
$212$	12.9621	+	4.21163i	0.890239	+	0.289256i
$213$	−0.0898378	+	0.176317i	−0.00615558	+	0.0120810i
$214$	−12.2774	−	1.94454i	−0.839263	−	0.132926i
$215$	6.35695	+	1.00684i	0.433540	+	0.0686660i
$216$	2.43481	−	4.77859i	0.165668	−	0.325142i
$217$	26.8651	+	8.72900i	1.82372	+	0.592563i
$218$	0.428621	−	0.589946i	0.0290299	−	0.0399562i
$219$	−4.83600	−	4.83600i	−0.326787	−	0.326787i
$220$	15.3134	+	15.0289i	1.03243	+	1.01325i
$221$	−0.970220	+	23.2684i	−0.0652641	+	1.56520i
$222$	5.17913	−	7.12846i	0.347600	−	0.478431i
$223$	2.50558	−	1.27666i	0.167786	−	0.0854912i	−0.368081	−	0.929794i	$-0.619985\pi$
$223$	2.50558	−	1.27666i	0.167786	−	0.0854912i	0.535867	+	0.844303i	$0.319985\pi$
$224$	2.43364	+	7.48999i	0.162605	+	0.500446i
$225$	1.51794	+	2.08927i	0.101196	+	0.139284i
$226$	−3.60282	+	22.7473i	−0.239656	+	1.51313i
$227$	10.7301	+	5.46728i	0.712184	+	0.362876i	0.772250	−	0.635318i	$-0.219131\pi$
$227$	10.7301	+	5.46728i	0.712184	+	0.362876i	−0.0600659	+	0.998194i	$0.519131\pi$
$228$	−6.22861	+	3.17363i	−0.412500	+	0.210179i
$229$	11.4411	−	1.81209i	0.756049	−	0.119746i	0.233502	−	0.972356i	$-0.424982\pi$
$229$	11.4411	−	1.81209i	0.756049	−	0.119746i	0.522548	+	0.852610i	$0.324982\pi$
$230$			27.4273i			1.80850i
$231$	−2.31565	+	15.5635i	−0.152359	+	1.02400i
$232$	5.04842	−	5.04842i	0.331445	−	0.331445i
$233$	−12.5566	−	9.12293i	−0.822612	−	0.597663i	0.0948472	−	0.995492i	$-0.469764\pi$
$233$	−12.5566	−	9.12293i	−0.822612	−	0.597663i	−0.917460	+	0.397829i	$0.869764\pi$
$234$	−8.13621	+	3.72716i	−0.531880	+	0.243652i
$235$	1.68396	+	5.18271i	0.109850	+	0.338083i
$236$	−43.9144	−	6.95536i	−2.85858	−	0.452755i
$237$	−4.42528	−	6.09088i	−0.287453	−	0.395645i
$238$	23.5037	+	72.3369i	1.52352	+	4.68891i
$239$	−0.981639	−	1.92658i	−0.0634969	−	0.124620i	0.857077	−	0.515189i	$-0.172278\pi$
$239$	−0.981639	−	1.92658i	−0.0634969	−	0.124620i	−0.920574	+	0.390569i	$0.872278\pi$
$240$	1.21379	+	7.66355i	0.0783496	+	0.494680i
$241$	2.54410	+	2.54410i	0.163880	+	0.163880i	0.784283	−	0.620403i	$-0.213031\pi$
$241$	2.54410	+	2.54410i	0.163880	+	0.163880i	−0.620403	+	0.784283i	$0.713031\pi$
$242$	3.76472	−	27.0421i	0.242006	−	1.73833i
$243$	1.00000			0.0641500
$244$	−17.5080	−	12.7203i	−1.12083	−	0.814333i
$245$	10.9466	+	21.4839i	0.699351	+	1.37255i
$246$	25.3500	−	8.23671i	1.61626	−	0.525154i
$247$	5.93849	+	1.19608i	0.377857	+	0.0761048i
$248$	−18.7696	−	25.8341i	−1.19187	−	1.64047i
$249$	12.9642	+	6.60559i	0.821573	+	0.418612i
$250$	−27.8304	−	9.04264i	−1.76015	−	0.571907i
$251$	10.6000	−	14.5896i	0.669066	−	0.920890i	−0.330673	−	0.943745i	$-0.607276\pi$
$251$	10.6000	−	14.5896i	0.669066	−	0.920890i	0.999739	+	0.0228552i	$0.00727568\pi$
$252$	−13.9579	+	13.9579i	−0.879266	+	0.879266i
$253$	18.9386	−	14.0328i	1.19066	−	0.882237i
$254$	−4.62018	+	4.62018i	−0.289896	+	0.289896i
$255$	1.57105	+	9.91922i	0.0983830	+	0.621166i
$256$	−10.0813	+	31.0269i	−0.630078	+	1.93918i
$257$	0.322265	−	0.104710i	0.0201024	−	0.00653165i	−0.298949	−	0.954269i	$-0.596636\pi$
$257$	0.322265	−	0.104710i	0.0201024	−	0.00653165i	0.319051	+	0.947738i	$0.396636\pi$
$258$	1.60728	−	10.1480i	0.100065	−	0.631786i
$259$	−13.6252	+	9.89932i	−0.846631	+	0.615114i
$260$	11.4461	−	20.3238i	0.709858	−	1.26043i
$261$	1.26607	+	0.411371i	0.0783678	+	0.0254632i
$262$	4.89958	+	30.9347i	0.302697	+	1.91116i
$263$			0.793731i			0.0489435i	0.999701	+	0.0244718i	$0.00779038\pi$
$263$			0.793731i			0.0489435i	−0.999701	+	0.0244718i	$0.992210\pi$
$264$	12.4592	−	12.6950i	0.766810	−	0.781326i
$265$	−3.60137	−	3.60137i	−0.221231	−	0.221231i
$266$	19.5407	−	3.09495i	1.19812	−	0.189763i
$267$	−0.820189	−	1.60971i	−0.0501947	−	0.0985127i
$268$	5.35502	+	2.72852i	0.327110	+	0.166671i
$269$	−8.51521	+	6.18667i	−0.519182	+	0.377208i	−0.816296	−	0.577634i	$-0.803976\pi$
$269$	−8.51521	+	6.18667i	−0.519182	+	0.377208i	0.297114	+	0.954842i	$0.403976\pi$
$270$	−3.12219	+	2.26840i	−0.190011	+	0.138051i
$271$	−1.98757	+	3.90082i	−0.120736	+	0.236958i	−0.943462	−	0.331480i	$-0.892452\pi$
$271$	−1.98757	+	3.90082i	−0.120736	+	0.236958i	0.822726	+	0.568438i	$0.192452\pi$
$272$	9.96045	−	30.6551i	0.603941	−	1.85874i
$273$	16.9917	−	1.96972i	1.02839	−	0.119213i
$274$		−	22.1066i		−	1.33551i
$275$	2.72302	+	8.12072i	0.164204	+	0.489698i
$276$	29.5700			1.77990
$277$	−8.90781	−	6.47190i	−0.535219	−	0.388859i	0.287088	−	0.957904i	$-0.407313\pi$
$277$	−8.90781	−	6.47190i	−0.535219	−	0.388859i	−0.822306	+	0.569045i	$0.807313\pi$
$278$	22.3740	−	11.4001i	1.34190	−	0.683733i
$279$	2.70311	−	5.30516i	0.161831	−	0.317611i
$280$	6.18873	−	39.0741i	0.369848	−	2.33513i
$281$	15.0663	+	2.38626i	0.898779	+	0.142353i	0.588694	−	0.808356i	$-0.299642\pi$
$281$	15.0663	+	2.38626i	0.898779	+	0.142353i	0.310085	+	0.950709i	$0.399642\pi$
$282$	8.27347	−	2.68821i	0.492678	−	0.160081i
$283$	−3.19118	+	9.82143i	−0.189696	+	0.583823i	−0.999998	−	0.00218937i	$-0.999303\pi$
$283$	−3.19118	+	9.82143i	−0.189696	+	0.583823i	0.810302	+	0.586013i	$0.199303\pi$
$284$	−0.813210	+	0.128800i	−0.0482551	+	0.00764286i
$285$	2.61231			0.154740
$286$	−29.4506	+	3.69412i	−1.74145	+	0.218438i
$287$	−50.9472			−3.00732
$288$	1.63957	−	0.259682i	0.0966125	−	0.0153019i
$289$	7.63891	−	23.5101i	0.449347	−	1.38295i
$290$	−4.88607	+	1.58758i	−0.286920	+	0.0932259i
$291$	13.0895	+	2.07317i	0.767317	+	0.121531i
$292$	4.45148	−	28.1056i	0.260503	−	1.64475i
$293$	2.72249	−	5.34319i	0.159050	−	0.312153i	−0.797705	−	0.603047i	$-0.793953\pi$
$293$	2.72249	−	5.34319i	0.159050	−	0.312153i	0.956755	+	0.290895i	$0.0939530\pi$
$294$	34.2960	−	17.4747i	2.00018	−	1.01914i
$295$	13.4419	+	9.76609i	0.782616	+	0.568604i
$296$	19.0388			1.10661
$297$	3.16377	+	0.995275i	0.183580	+	0.0577517i
$298$			42.0977i			2.43865i
$299$	−20.0850	−	15.9122i	−1.16155	−	0.920225i
$300$	−3.32039	+	10.2191i	−0.191703	+	0.590001i
$301$	−8.91569	+	17.4980i	−0.513892	+	1.00857i
$302$	5.00431	−	3.63584i	0.287966	−	0.209219i
$303$	1.66462	−	1.20941i	0.0956297	−	0.0694790i
$304$	−7.47042	−	3.80637i	−0.428458	−	0.218310i
$305$	3.67147	+	7.20566i	0.210228	+	0.412595i
$306$	15.8347	−	2.50796i	0.905207	−	0.143371i
$307$	15.6564	+	15.6564i	0.893556	+	0.893556i	0.994856	−	0.101300i	$-0.0323002\pi$
$307$	15.6564	+	15.6564i	0.893556	+	0.893556i	−0.101300	+	0.994856i	$0.532300\pi$
$308$	−58.0516	+	30.2676i	−3.30779	+	1.72466i
$309$		−	17.1572i		−	0.976038i
$310$	3.59461	+	22.6955i	0.204160	+	1.28902i
$311$	−15.1864	−	4.93435i	−0.861140	−	0.279801i	−0.155035	−	0.987909i	$-0.549549\pi$
$311$	−15.1864	−	4.93435i	−0.861140	−	0.279801i	−0.706104	+	0.708108i	$0.749549\pi$
$312$	−16.8488	−	9.48901i	−0.953873	−	0.537210i
$313$	−0.0318833	+	0.0231646i	−0.00180215	+	0.00130934i	−0.588686	−	0.808362i	$-0.700355\pi$
$313$	−0.0318833	+	0.0231646i	−0.00180215	+	0.00130934i	0.586884	+	0.809671i	$0.300355\pi$
$314$	−8.43794	+	53.2750i	−0.476180	+	3.00648i
$315$	7.01547	−	2.27946i	0.395277	−	0.128433i
$316$	9.67999	−	29.7920i	0.544542	−	1.67593i
$317$	0.396082	+	2.50076i	0.0222462	+	0.140457i	0.996312	−	0.0858101i	$-0.0273478\pi$
$317$	0.396082	+	2.50076i	0.0222462	+	0.140457i	−0.974065	+	0.226267i	$0.927348\pi$
$318$	−5.74909	+	5.74909i	−0.322393	+	0.322393i
$319$	3.59612	+	2.56157i	0.201344	+	0.143420i
$320$	6.44300	−	6.44300i	0.360175	−	0.360175i
$321$	2.94366	−	4.05159i	0.164299	−	0.226138i
$322$	−79.5918	−	25.8610i	−4.43548	−	1.44117i
$323$	−9.66925	−	4.92673i	−0.538011	−	0.274131i
$324$	2.44562	+	3.36611i	0.135868	+	0.187006i
$325$	7.75443	−	5.15443i	0.430138	−	0.285917i
$326$	47.8388	−	15.5438i	2.64954	−	0.860889i
$327$	0.133378	+	0.261770i	0.00737584	+	0.0144759i
$328$	46.5942	+	33.8527i	2.57273	+	1.86920i
$329$	−16.6276			−0.916711
$330$	−12.1356	+	4.06927i	−0.668041	+	0.224006i
$331$	−10.2847	−	10.2847i	−0.565298	−	0.565298i	0.365510	−	0.930808i	$-0.380895\pi$
$331$	−10.2847	−	10.2847i	−0.565298	−	0.565298i	−0.930808	+	0.365510i	$0.880895\pi$
$332$	9.47039	+	59.7937i	0.519755	+	3.28160i
$333$	1.61164	+	3.16302i	0.0883174	+	0.173333i
$334$	−2.02323	−	6.22687i	−0.110706	−	0.340719i
$335$	−1.32012	−	1.81699i	−0.0721259	−	0.0992728i
$336$	−23.3835	−	3.70358i	−1.27567	−	0.202047i
$337$	−1.38468	−	4.26162i	−0.0754286	−	0.232145i	0.906233	−	0.422780i	$-0.138946\pi$
$337$	−1.38468	−	4.26162i	−0.0754286	−	0.232145i	−0.981661	+	0.190634i	$0.938946\pi$
$338$	12.2047	+	29.8699i	0.663847	+	1.62471i
$339$	−7.50674	−	5.45397i	−0.407710	−	0.296219i
$340$	−29.5470	+	29.5470i	−1.60241	+	1.60241i
$341$	13.8321	−	14.0939i	0.749051	−	0.763230i
$342$		−	4.17019i		−	0.225498i
$343$	−39.8652	+	6.31403i	−2.15252	+	0.340926i
$344$	19.7808	−	10.0788i	1.06651	−	0.543413i
$345$	−9.84571	−	5.01664i	−0.530075	−	0.270087i
$346$	1.47124	−	9.28902i	0.0790941	−	0.499381i
$347$	−5.63719	−	7.75893i	−0.302620	−	0.416521i	0.630442	−	0.776237i	$-0.282874\pi$
$347$	−5.63719	−	7.75893i	−0.302620	−	0.416521i	−0.933062	+	0.359716i	$0.882874\pi$
$348$	1.71161	+	5.26779i	0.0917518	+	0.282383i
$349$	5.54823	−	2.82697i	0.296990	−	0.151324i	−0.299146	−	0.954207i	$-0.596702\pi$
$349$	5.54823	−	2.82697i	0.296990	−	0.151324i	0.596136	+	0.802883i	$0.296702\pi$
$350$	17.8746	−	24.6023i	0.955438	−	1.31505i
$351$	0.150210	−	3.60242i	0.00801760	−	0.192283i
$352$	5.44567	+	0.810247i	0.290255	+	0.0431863i
$353$	3.53479	+	3.53479i	0.188138	+	0.188138i	0.794891	−	0.606753i	$-0.207528\pi$
$353$	3.53479	+	3.53479i	0.188138	+	0.188138i	−0.606753	+	0.794891i	$0.707528\pi$
$354$	15.5902	−	21.4581i	0.828610	−	1.14048i
$355$	0.292620	+	0.0950780i	0.0155307	+	0.00504622i
$356$	3.41259	−	6.69759i	0.180867	−	0.354971i
$357$	−30.2662	−	4.79369i	−1.60185	−	0.253709i
$358$	−24.4886	−	3.87861i	−1.29426	−	0.204991i
$359$	−4.81380	+	9.44762i	−0.254063	+	0.498626i	−0.982447	−	0.186543i	$-0.940272\pi$
$359$	−4.81380	+	9.44762i	−0.254063	+	0.498626i	0.728384	+	0.685169i	$0.240272\pi$
$360$	−7.93068	−	2.57684i	−0.417984	−	0.135811i
$361$	9.50872	−	13.0876i	0.500459	−	0.688823i
$362$	2.49034	+	2.49034i	0.130889	+	0.130889i
$363$	9.01886	+	6.29764i	0.473367	+	0.330540i
$364$	48.1857	+	52.3789i	2.52562	+	2.74540i
$365$	−6.25037	+	8.60290i	−0.327159	+	0.450296i
$366$	11.5028	−	5.86099i	0.601263	−	0.306359i
$367$	−4.10554	−	12.6355i	−0.214307	−	0.659570i	−0.999202	−	0.0399410i	$-0.987283\pi$
$367$	−4.10554	−	12.6355i	−0.214307	−	0.659570i	0.784895	−	0.619629i	$-0.212717\pi$
$368$	20.8461	+	28.6921i	1.08668	+	1.49568i
$369$	−1.67992	+	10.6066i	−0.0874529	+	0.552156i
$370$	−12.2069	−	6.21971i	−0.634605	−	0.323347i
$371$	13.8466	−	7.05520i	0.718880	−	0.366288i
$372$	24.4685	−	3.87543i	1.26863	−	0.200932i
$373$		−	27.8444i		−	1.44173i	−0.693077	−	0.720863i	$-0.743746\pi$
$373$		−	27.8444i		−	1.44173i	0.693077	−	0.720863i	$-0.256254\pi$
$374$	52.5933	+	7.82522i	2.71953	+	0.404632i
$375$	8.33646	−	8.33646i	0.430493	−	0.430493i
$376$	15.2069	+	11.0485i	0.784238	+	0.569782i
$377$	1.67211	−	4.49912i	0.0861179	−	0.231717i
$378$	−3.63885	−	11.1992i	−0.187162	−	0.576026i
$379$	24.2603	+	3.84246i	1.24617	+	0.197374i	0.744463	−	0.667663i	$-0.232705\pi$
$379$	24.2603	+	3.84246i	1.24617	+	0.197374i	0.501707	+	0.865037i	$0.332705\pi$
$380$	6.38873	+	8.79333i	0.327735	+	0.451088i
$381$	−0.813467	−	2.50359i	−0.0416752	−	0.128263i
$382$	−13.2228	−	25.9512i	−0.676538	−	1.32778i
$383$	−3.49885	−	22.0909i	−0.178783	−	1.12879i	−0.899938	−	0.436018i	$-0.856389\pi$
$383$	−3.49885	−	22.0909i	−0.178783	−	1.12879i	0.721155	−	0.692774i	$-0.243611\pi$
$384$	−12.6330	−	12.6330i	−0.644673	−	0.644673i
$385$	24.4640	−	0.229378i	1.24680	−	0.0116902i
$386$	−47.7577			−2.43080
$387$	3.34889	+	2.43311i	0.170234	+	0.123682i
$388$	25.0333	+	49.1307i	1.27088	+	2.49423i
$389$	0.396780	−	0.128922i	0.0201175	−	0.00653658i	−0.298941	−	0.954272i	$-0.596633\pi$
$389$	0.396780	−	0.128922i	0.0201175	−	0.00653658i	0.319058	+	0.947735i	$0.396633\pi$
$390$	7.70277	+	11.5882i	0.390045	+	0.586791i
$391$	26.9818	+	37.1373i	1.36453	+	1.87812i
$392$	74.1047	+	37.7582i	3.74285	+	1.90708i
$393$	−12.0010	−	3.89935i	−0.605369	−	0.196696i
$394$	−27.4804	+	37.8235i	−1.38444	+	1.90552i
$395$	−8.27738	+	8.27738i	−0.416480	+	0.416480i
$396$	4.38718	+	13.0837i	0.220464	+	0.657478i
$397$	12.9728	−	12.9728i	0.651087	−	0.651087i	−0.302168	−	0.953255i	$-0.597710\pi$
$397$	12.9728	−	12.9728i	0.651087	−	0.651087i	0.953255	+	0.302168i	$0.0977103\pi$
$398$	7.40465	+	46.7511i	0.371162	+	2.34342i
$399$	−2.46313	+	7.58073i	−0.123311	+	0.379511i
$400$	−12.2565	+	3.98238i	−0.612826	+	0.199119i
$401$	−0.938319	+	5.92431i	−0.0468574	+	0.295846i	−0.999977	−	0.00674702i	$-0.997852\pi$
$401$	−0.938319	+	5.92431i	−0.0468574	+	0.295846i	0.953120	+	0.302593i	$0.0978523\pi$
$402$	−2.90057	+	2.10739i	−0.144667	+	0.105107i
$403$	−18.7054	−	10.5346i	−0.931781	−	0.524768i
$404$	8.14204	+	2.64551i	0.405082	+	0.131619i
$405$	−0.243230	−	1.53570i	−0.0120862	−	0.0763094i
$406$		−	15.6759i		−	0.777982i
$407$	1.95078	+	11.6111i	0.0966967	+	0.575541i
$408$	24.4949	+	24.4949i	1.21268	+	1.21268i
$409$	−21.0727	+	3.33759i	−1.04198	+	0.165033i	−0.653891	−	0.756589i	$-0.726865\pi$
$409$	−21.0727	+	3.33759i	−1.04198	+	0.165033i	−0.388089	+	0.921622i	$0.626865\pi$
$410$	−18.8150	−	36.9265i	−0.929206	−	1.82367i
$411$	7.93571	+	4.04344i	0.391439	+	0.199448i
$412$	57.7529	−	41.9600i	2.84528	−	2.06722i
$413$	−41.0147	+	29.7989i	−2.01820	+	1.46631i
$414$	−8.00837	+	15.7173i	−0.393590	+	0.772463i
$415$	6.99089	−	21.5158i	0.343169	−	1.05617i
$416$	−0.689205	−	5.94542i	−0.0337911	−	0.291498i
$417$			10.1169i			0.495425i
$418$	4.15049	−	13.1935i	0.203007	−	0.645316i
$419$	8.38923			0.409840			0.204920	−	0.978779i	$-0.434306\pi$
$419$	8.38923			0.409840			0.204920	+	0.978779i	$0.434306\pi$
$420$	24.8301	+	18.0401i	1.21159	+	0.880268i
$421$	32.7782	−	16.7014i	1.59751	−	0.813974i	0.597588	−	0.801803i	$-0.296126\pi$
$421$	32.7782	−	16.7014i	1.59751	−	0.813974i	0.999926	−	0.0121709i	$-0.00387420\pi$
$422$	−0.530800	+	1.04175i	−0.0258389	+	0.0507118i
$423$	−0.548274	+	3.46167i	−0.0266580	+	0.168312i
$424$	−17.3515	−	2.74820i	−0.842662	−	0.133465i
$425$	−15.8641	+	5.15455i	−0.769521	+	0.250032i
$426$	0.151779	−	0.467127i	0.00735370	−	0.0226324i
$427$	−24.3721	+	3.86016i	−1.17945	+	0.186806i
$428$	20.8372			1.00720
$429$	4.06063	−	11.2477i	0.196049	−	0.543045i
$430$	−15.9752			−0.770391
$431$	−5.40010	+	0.855292i	−0.260114	+	0.0411980i	−0.285129	−	0.958489i	$-0.592036\pi$
$431$	−5.40010	+	0.855292i	−0.260114	+	0.0411980i	0.0250155	+	0.999687i	$0.492036\pi$
$432$	−1.54208	+	4.74603i	−0.0741933	+	0.228344i
$433$	15.6395	−	5.08160i	0.751589	−	0.244206i	0.0919241	−	0.995766i	$-0.470698\pi$
$433$	15.6395	−	5.08160i	0.751589	−	0.244206i	0.659665	+	0.751560i	$0.270698\pi$
$434$	−69.2498	−	10.9681i	−3.32410	−	0.526485i
$435$	0.323794	−	2.04436i	0.0155247	−	0.0980194i
$436$	−0.554952	+	1.08916i	−0.0265774	+	0.0521611i
$437$	10.6390	−	5.42085i	0.508933	−	0.259314i
$438$	13.7333	+	9.97785i	0.656204	+	0.476760i
$439$	30.8106			1.47051			0.735254	−	0.677791i	$-0.237063\pi$
$439$	30.8106			1.47051			0.735254	+	0.677791i	$0.237063\pi$
$440$	−22.5262	−	16.0457i	−1.07389	−	0.764950i
$441$			15.5076i			0.738459i
$442$	−6.65622	−	57.4198i	−0.316604	−	2.73118i
$443$	−2.31050	+	7.11098i	−0.109775	+	0.337853i	−0.990821	−	0.135177i	$-0.956840\pi$
$443$	−2.31050	+	7.11098i	−0.109775	+	0.337853i	0.881046	+	0.473030i	$0.156840\pi$
$444$	−6.70562	+	13.1605i	−0.318235	+	0.624571i
$445$	−2.27253	+	1.65109i	−0.107728	+	0.0782693i
$446$	−5.64679	+	4.10263i	−0.267383	+	0.194265i
$447$	−15.1120	−	7.69996i	−0.714774	−	0.364196i
$448$	12.6220	+	24.7722i	0.596336	+	1.17037i
$449$	−16.8501	+	2.66880i	−0.795207	+	0.125948i	−0.540803	−	0.841150i	$-0.681879\pi$
$449$	−16.8501	+	2.66880i	−0.795207	+	0.125948i	−0.254404	+	0.967098i	$0.581879\pi$
$450$	−4.53250	−	4.53250i	−0.213664	−	0.213664i
$451$	−15.8713	+	31.8848i	−0.747351	+	1.50139i
$452$		−	38.6069i		−	1.81591i
$453$	0.389855	+	2.46145i	0.0183170	+	0.115649i
$454$	−28.4281	−	9.23684i	−1.33420	−	0.433506i
$455$	−7.15780	−	25.6151i	−0.335563	−	1.20085i
$456$	7.28981	−	5.29636i	0.341377	−	0.248025i
$457$	3.04515	−	19.2263i	0.142446	−	0.899369i	−0.808159	−	0.588965i	$-0.799536\pi$
$457$	3.04515	−	19.2263i	0.142446	−	0.899369i	0.950605	−	0.310404i	$-0.100464\pi$
$458$	−27.3445	+	8.88478i	−1.27773	+	0.415159i
$459$	−1.99597	+	6.14297i	−0.0931640	+	0.286729i
$460$	−7.19232	−	45.4105i	−0.335344	−	2.11728i
$461$	6.14138	−	6.14138i	0.286032	−	0.286032i	−0.549477	−	0.835509i	$-0.685173\pi$
$461$	6.14138	−	6.14138i	0.286032	−	0.286032i	0.835509	+	0.549477i	$0.185173\pi$
$462$	−0.366169	−	39.0534i	−0.0170357	−	1.81693i
$463$	21.8466	−	21.8466i	1.01530	−	1.01530i	0.0154187	−	0.999881i	$-0.495092\pi$
$463$	21.8466	−	21.8466i	1.01530	−	1.01530i	0.999881	−	0.0154187i	$-0.00490811\pi$
$464$	−3.90476	+	5.37444i	−0.181274	+	0.249502i
$465$	−8.80459	−	2.86078i	−0.408303	−	0.132666i
$466$	34.3252	+	17.4896i	1.59008	+	0.810188i
$467$	9.73652	+	13.4012i	0.450553	+	0.620132i	0.972516	−	0.232835i	$-0.0748003\pi$
$467$	9.73652	+	13.4012i	0.450553	+	0.620132i	−0.521964	+	0.852968i	$0.674800\pi$
$468$	12.4935	−	8.30454i	0.577512	−	0.383877i
$469$	6.51750	−	2.11766i	0.300950	−	0.0977846i
$470$	−6.14064	−	12.0517i	−0.283247	−	0.555903i
$471$	−17.5811	−	12.7734i	−0.810092	−	0.588567i
$472$	57.3107			2.63794
$473$	8.17350	+	11.0309i	0.375818	+	0.507200i
$474$	13.2137	+	13.2137i	0.606924	+	0.606924i
$475$	0.678747	+	4.28544i	0.0311431	+	0.196630i
$476$	−57.8835	−	113.603i	−2.65308	−	5.20697i
$477$	−1.01223	−	3.11533i	−0.0463469	−	0.142641i
$478$	3.15457	+	4.34189i	0.144287	+	0.198594i
$479$	−33.1807	−	5.25531i	−1.51607	−	0.240121i	−0.657748	−	0.753238i	$-0.728491\pi$
$479$	−33.1807	−	5.25531i	−1.51607	−	0.240121i	−0.858319	+	0.513117i	$0.828491\pi$
$480$	−0.797586	−	2.45472i	−0.0364047	−	0.112042i
$481$	11.6366	−	5.33069i	0.530585	−	0.243059i
$482$	−7.22476	−	5.24909i	−0.329079	−	0.239090i
$483$	23.8413	−	23.8413i	1.08482	−	1.08482i
$484$	0.858180	+	45.7601i	0.0390082	+	2.08000i
$485$		−	20.6057i		−	0.935656i
$486$	−2.45153	+	0.388283i	−0.111203	+	0.0176129i
$487$	30.7702	−	15.6782i	1.39433	−	0.710447i	0.414458	−	0.910069i	$-0.363971\pi$
$487$	30.7702	−	15.6782i	1.39433	−	0.710447i	0.979873	+	0.199621i	$0.0639713\pi$
$488$	24.8546	+	12.6641i	1.12512	+	0.573275i
$489$	−3.17022	+	20.0160i	−0.143362	+	0.905155i
$490$	−35.1776	−	48.4178i	−1.58916	−	2.18729i
$491$	−5.82391	−	17.9242i	−0.262829	−	0.808906i	−0.992186	−	0.124771i	$-0.960180\pi$
$491$	−5.82391	−	17.9242i	−0.262829	−	0.808906i	0.729356	−	0.684134i	$-0.239820\pi$
$492$	−39.8113	+	20.2849i	−1.79483	+	0.914513i
$493$	−5.05408	+	6.95635i	−0.227624	+	0.313298i
$494$	−15.0228	−	0.626403i	−0.675907	−	0.0281832i
$495$	0.758915	−	5.10067i	0.0341107	−	0.229258i
$496$	21.0100	+	21.0100i	0.943378	+	0.943378i
$497$	−0.551818	+	0.759512i	−0.0247524	+	0.0340688i
$498$	−34.3469	−	11.1600i	−1.53912	−	0.500091i
$499$	−11.1086	+	21.8018i	−0.497289	+	0.975984i	0.496846	+	0.867839i	$0.334491\pi$
$499$	−11.1086	+	21.8018i	−0.497289	+	0.975984i	−0.994135	+	0.108146i	$0.965509\pi$
$500$	48.4492	+	7.67360i	2.16672	+	0.343174i
$501$	2.60535	+	0.412648i	0.116399	+	0.0184357i
$502$	−20.3212	+	39.8827i	−0.906981	+	1.78005i
$503$	25.8425	+	8.39673i	1.15226	+	0.374391i	0.821994	−	0.569497i	$-0.192862\pi$
$503$	25.8425	+	8.39673i	1.15226	+	0.374391i	0.330265	+	0.943888i	$0.392862\pi$
$504$	14.9556	−	20.5846i	0.666173	−	0.916909i
$505$	−2.26218	−	2.26218i	−0.100666	−	0.100666i
$506$	−40.9796	+	41.7554i	−1.82177	+	1.85625i
$507$	−12.9549	−	1.08224i	−0.575346	−	0.0480638i
$508$	6.43794	−	8.86106i	0.285637	−	0.393146i
$509$	−37.4888	+	19.1015i	−1.66166	+	0.846659i	−0.666819	+	0.745219i	$0.732345\pi$
$509$	−37.4888	+	19.1015i	−1.66166	+	0.846659i	−0.994842	+	0.101439i	$0.967655\pi$
$510$	−7.70294	−	23.7072i	−0.341092	−	1.04977i
$511$	−19.0715	−	26.2497i	−0.843675	−	1.16122i
$512$	7.07759	−	44.6861i	0.312788	−	1.97487i
$513$	1.49700	+	0.762757i	0.0660940	+	0.0336766i
$514$	−0.749384	+	0.381830i	−0.0330539	+	0.0168418i
$515$	−26.3482	+	4.17315i	−1.16104	+	0.183891i
$516$			17.2232i			0.758209i
$517$	−5.17992	+	10.4062i	−0.227813	+	0.457665i
$518$	29.5589	−	29.5589i	1.29874	−	1.29874i
$519$	3.06543	+	2.22716i	0.134557	+	0.0977616i
$520$	−10.4741	+	28.1826i	−0.459320	+	1.23589i
$521$	10.1147	+	31.1300i	0.443135	+	1.36383i	0.884516	+	0.466509i	$0.154489\pi$
$521$	10.1147	+	31.1300i	0.443135	+	1.36383i	−0.441382	+	0.897319i	$0.645511\pi$
$522$	−3.26353	−	0.516892i	−0.142841	−	0.0226238i
$523$	−11.6054	−	15.9735i	−0.507470	−	0.698473i	0.476020	−	0.879434i	$-0.342079\pi$
$523$	−11.6054	−	15.9735i	−0.507470	−	0.698473i	−0.983490	+	0.180962i	$0.942079\pi$
$524$	−16.2242	−	49.9329i	−0.708757	−	2.18133i
$525$	5.56222	+	10.9165i	0.242755	+	0.476434i
$526$	−0.308193	−	1.94585i	−0.0134378	−	0.0848431i
$527$	27.1941	+	27.1941i	1.18459	+	1.18459i
$528$	−9.60239	+	13.4806i	−0.417890	+	0.586666i
$529$	−27.5082			−1.19601
$530$	10.2272	+	7.43050i	0.444242	+	0.322760i
$531$	4.85136	+	9.52133i	0.210531	+	0.413190i
$532$	−31.5414	+	10.2484i	−1.36749	+	0.444326i
$533$	37.9570	+	7.64498i	1.64410	+	0.331141i
$534$	2.63574	+	3.62778i	0.114060	+	0.156989i
$535$	−6.93801	−	3.53509i	−0.299956	−	0.152835i
$536$	−7.36775	−	2.39393i	−0.318238	−	0.103402i
$537$	5.87145	−	8.08136i	0.253372	−	0.348737i
$538$	18.4731	−	18.4731i	0.796431	−	0.796431i
$539$	−15.4344	+	49.0626i	−0.664805	+	2.11328i
$540$	4.57447	−	4.57447i	0.196854	−	0.196854i
$541$	3.28441	+	20.7369i	0.141208	+	0.891550i	0.951974	+	0.306180i	$0.0990508\pi$
$541$	3.28441	+	20.7369i	0.141208	+	0.891550i	−0.810766	+	0.585370i	$0.800949\pi$
$542$	3.35795	−	10.3347i	0.144236	−	0.443913i
$543$	−1.34947	+	0.438470i	−0.0579114	+	0.0188165i
$544$	−1.67731	+	10.5901i	−0.0719143	+	0.454049i
$545$	0.369557	−	0.268499i	0.0158301	−	0.0115012i
$546$	−40.8909	+	11.4264i	−1.74997	+	0.489006i
$547$	−27.4018	−	8.90337i	−1.17161	−	0.380681i	−0.342369	−	0.939565i	$-0.611229\pi$
$547$	−27.4018	−	8.90337i	−1.17161	−	0.380681i	−0.829245	+	0.558885i	$0.811229\pi$
$548$	5.79706	+	36.6012i	0.247638	+	1.56353i
$549$			5.20125i			0.221984i
$550$	−9.82869	−	18.8509i	−0.419097	−	0.803803i
$551$	1.58152	+	1.58152i	0.0673752	+	0.0673752i
$552$	−37.6461	+	5.96255i	−1.60232	+	0.253783i
$553$	−16.2156	−	31.8250i	−0.689559	−	1.35334i
$554$	24.3507	+	12.4073i	1.03456	+	0.527135i
$555$	4.46544	−	3.24434i	0.189548	−	0.137714i
$556$	−34.0545	+	24.7420i	−1.44423	+	1.04930i
$557$	−2.71768	+	5.33375i	−0.115152	+	0.225998i	−0.941388	−	0.337326i	$-0.890478\pi$
$557$	−2.71768	+	5.33375i	−0.115152	+	0.225998i	0.826236	+	0.563324i	$0.190478\pi$
$558$	−4.56684	+	14.0553i	−0.193330	+	0.595008i
$559$	9.26813	−	11.6986i	0.392000	−	0.494800i
$560$			36.8108i			1.55554i
$561$	−12.4287	+	17.4484i	−0.524742	+	0.736672i
$562$	−37.8619			−1.59711
$563$	32.6644	+	23.7321i	1.37664	+	1.00019i	0.997185	+	0.0749787i	$0.0238889\pi$
$563$	32.6644	+	23.7321i	1.37664	+	1.00019i	0.379456	+	0.925210i	$0.376111\pi$
$564$	−12.9932	+	6.62037i	−0.547113	+	0.278768i
$565$	−6.54977	+	12.8547i	−0.275551	+	0.540799i
$566$	4.00975	−	25.3166i	0.168542	−	1.06413i
$567$	4.68581	+	0.742160i	0.196786	+	0.0311678i
$568$	1.00934	−	0.327954i	0.0423510	−	0.0137607i
$569$	12.0810	−	37.1814i	0.506461	−	1.55873i	−0.291839	−	0.956467i	$-0.594267\pi$
$569$	12.0810	−	37.1814i	0.506461	−	1.55873i	0.798300	−	0.602259i	$-0.205733\pi$
$570$	−6.40415	+	1.01432i	−0.268240	+	0.0424851i
$571$	−39.2650			−1.64319			−0.821595	−	0.570071i	$-0.806916\pi$
$571$	−39.2650			−1.64319			−0.821595	+	0.570071i	$0.806916\pi$
$572$	47.7918	−	13.8392i	1.99828	−	0.578644i
$573$	11.7344			0.490211
$574$	124.898	−	19.7819i	5.21315	−	0.825683i
$575$	5.67152	−	17.4551i	0.236519	−	0.727930i
$576$	5.57345	−	1.81092i	0.232227	−	0.0754552i
$577$	26.5851	+	4.21066i	1.10675	+	0.175292i	0.682951	−	0.730464i	$-0.260696\pi$
$577$	26.5851	+	4.21066i	1.10675	+	0.175292i	0.423800	+	0.905756i	$0.360696\pi$
$578$	−9.59838	+	60.6018i	−0.399240	+	2.52070i
$579$	8.73522	−	17.1438i	0.363023	−	0.712473i
$580$	7.67341	−	3.90980i	0.318621	−	0.162345i
$581$	55.8454	+	40.5741i	2.31686	+	1.68330i
$582$	−32.8941			−1.36350
$583$	−0.101859	−	10.8636i	−0.00421856	−	0.449926i
$584$			36.6793i			1.51780i
$585$	−5.56876	+	0.645542i	−0.230240	+	0.0266899i
$586$	−4.59959	+	14.1561i	−0.190007	+	0.584782i
$587$	6.33570	−	12.4345i	0.261502	−	0.513227i	−0.722503	−	0.691368i	$-0.757008\pi$
$587$	6.33570	−	12.4345i	0.261502	−	0.513227i	0.984005	+	0.178141i	$0.0570084\pi$
$588$	−52.2004	+	37.9258i	−2.15271	+	1.56403i
$589$	8.09309	−	5.87998i	0.333470	−	0.242280i
$590$	−36.7451	−	18.7226i	−1.51277	−	0.770796i
$591$	−8.55135	−	16.7830i	−0.351755	−	0.690359i
$592$	−17.4971	+	2.77127i	−0.719126	+	0.113898i
$593$	−7.83585	−	7.83585i	−0.321780	−	0.321780i	0.527670	−	0.849450i	$-0.323066\pi$
$593$	−7.83585	−	7.83585i	−0.321780	−	0.321780i	−0.849450	+	0.527670i	$0.823066\pi$
$594$	−8.14251	−	1.21150i	−0.334091	−	0.0497085i
$595$			47.6456i			1.95328i
$596$	−11.0394	−	69.6999i	−0.452191	−	2.85502i
$597$	−18.1369	−	5.89302i	−0.742292	−	0.241185i
$598$	55.4174	+	31.2104i	2.26619	+	1.27629i
$599$	3.95608	−	2.87426i	0.161641	−	0.117439i	−0.504024	−	0.863689i	$-0.668148\pi$
$599$	3.95608	−	2.87426i	0.161641	−	0.117439i	0.665665	+	0.746250i	$0.268148\pi$
$600$	2.16664	−	13.6796i	0.0884529	−	0.558469i
$601$	−2.03185	+	0.660189i	−0.0828811	+	0.0269297i	−0.350164	−	0.936688i	$-0.613874\pi$
$601$	−2.03185	+	0.660189i	−0.0828811	+	0.0269297i	0.267283	+	0.963618i	$0.413874\pi$
$602$	15.0628	−	46.3587i	0.613916	−	1.88944i
$603$	−0.225965	−	1.42669i	−0.00920202	−	0.0580993i
$604$	−7.33206	+	7.33206i	−0.298337	+	0.298337i
$605$	7.47760	−	15.3820i	0.304008	−	0.625367i
$606$	−3.61125	+	3.61125i	−0.146697	+	0.146697i
$607$	−11.6489	+	16.0333i	−0.472813	+	0.650772i	−0.977104	−	0.212762i	$-0.931754\pi$
$607$	−11.6489	+	16.0333i	−0.472813	+	0.650772i	0.504291	+	0.863534i	$0.331754\pi$
$608$	2.65250	+	0.861850i	0.107573	+	0.0349526i
$609$	5.62726	+	2.86723i	0.228028	+	0.116186i
$610$	−11.7985	−	16.2393i	−0.477709	−	0.657510i
$611$	12.3880	+	2.49509i	0.501166	+	0.100941i
$612$	−25.5593	+	8.30472i	−1.03317	+	0.335699i
$613$	−9.12894	−	17.9166i	−0.368714	−	0.723643i	0.629877	−	0.776695i	$-0.283105\pi$
$613$	−9.12894	−	17.9166i	−0.368714	−	0.723643i	−0.998592	+	0.0530518i	$0.983105\pi$
$614$	−44.4611	−	32.3029i	−1.79430	−	1.30364i
$615$	16.6971			0.673291
$616$	67.8032	−	50.2399i	2.73187	−	2.02422i
$617$	−12.1047	−	12.1047i	−0.487315	−	0.487315i	0.420143	−	0.907458i	$-0.361980\pi$
$617$	−12.1047	−	12.1047i	−0.487315	−	0.487315i	−0.907458	+	0.420143i	$0.861980\pi$
$618$	6.66185	+	42.0613i	0.267979	+	1.69195i
$619$	4.87986	+	9.57726i	0.196138	+	0.384943i	0.968039	−	0.250800i	$-0.0806938\pi$
$619$	4.87986	+	9.57726i	0.196138	+	0.384943i	−0.771901	+	0.635743i	$0.780694\pi$
$620$	−11.9030	−	36.6336i	−0.478035	−	1.47124i
$621$	−4.17734	−	5.74961i	−0.167631	−	0.230724i
$622$	39.1457	+	6.20007i	1.56960	+	0.248600i
$623$	−2.64859	−	8.15152i	−0.106113	−	0.326584i
$624$	16.8656	+	6.26812i	0.675163	+	0.250926i
$625$	−4.38361	−	3.18488i	−0.175345	−	0.127395i
$626$	0.0691684	−	0.0691684i	0.00276452	−	0.00276452i
$627$	3.97699	+	3.90311i	0.158826	+	0.155875i
$628$		−	90.4186i		−	3.60810i
$629$	−22.6472	+	3.58696i	−0.903001	+	0.143021i
$630$	−16.3135	+	8.31216i	−0.649946	+	0.331164i
$631$	−12.3419	−	6.28849i	−0.491322	−	0.250341i	0.190733	−	0.981642i	$-0.438913\pi$
$631$	−12.3419	−	6.28849i	−0.491322	−	0.250341i	−0.682055	+	0.731301i	$0.738913\pi$
$632$	−6.31646	+	39.8805i	−0.251255	+	1.58636i
$633$	−0.276877	−	0.381088i	−0.0110049	−	0.0151469i
$634$	−1.94201	−	5.97689i	−0.0771270	−	0.237373i
$635$	−3.64690	+	1.85819i	−0.144723	+	0.0737400i
$636$	8.01100	−	11.0262i	0.317657	−	0.437217i
$637$	55.8651	+	2.32940i	2.21345	+	0.0922941i
$638$	−9.81060	−	4.88344i	−0.388406	−	0.193337i
$639$	0.139926	+	0.139926i	0.00553537	+	0.00553537i
$640$	−16.3277	+	22.4731i	−0.645408	+	0.888328i
$641$	−22.1124	−	7.18476i	−0.873388	−	0.283781i	−0.162179	−	0.986761i	$-0.551852\pi$
$641$	−22.1124	−	7.18476i	−0.873388	−	0.283781i	−0.711209	+	0.702980i	$0.751852\pi$
$642$	−5.64328	+	11.0756i	−0.222722	+	0.437117i
$643$	−20.0370	−	3.17354i	−0.790181	−	0.125152i	−0.251717	−	0.967801i	$-0.580995\pi$
$643$	−20.0370	−	3.17354i	−0.790181	−	0.125152i	−0.538464	+	0.842649i	$0.680995\pi$
$644$	138.559	+	21.9457i	5.46001	+	0.864780i
$645$	2.92197	−	5.73469i	0.115052	−	0.225803i
$646$	25.6174	+	8.32359i	1.00790	+	0.327487i
$647$	6.41997	−	8.83633i	0.252395	−	0.347392i	−0.663953	−	0.747774i	$-0.731123\pi$
$647$	6.41997	−	8.83633i	0.252395	−	0.347392i	0.916348	+	0.400382i	$0.131123\pi$
$648$	−3.79231	−	3.79231i	−0.148976	−	0.148976i
$649$	5.87224	+	34.9517i	0.230506	+	1.37197i
$650$	−17.0088	+	15.6471i	−0.667140	+	0.613731i
$651$	16.6036	−	22.8528i	0.650745	−	0.895673i
$652$	−75.1292	+	38.2802i	−2.94229	+	1.49917i
$653$	2.20111	+	6.77431i	0.0861360	+	0.265099i	0.984842	−	0.173451i	$-0.0554920\pi$
$653$	2.20111	+	6.77431i	0.0861360	+	0.265099i	−0.898706	+	0.438551i	$0.855492\pi$
$654$	−0.428621	−	0.589946i	−0.0167604	−	0.0230687i
$655$	−3.06922	+	19.3783i	−0.119924	+	0.757173i
$656$	−47.7486	−	24.3291i	−1.86427	−	0.949892i
$657$	−6.09372	+	3.10491i	−0.237739	+	0.121134i
$658$	40.7630	−	6.45623i	1.58911	−	0.251690i
$659$		−	11.0044i		−	0.428670i	−0.976760	−	0.214335i	$-0.931242\pi$
$659$		−	11.0044i		−	0.428670i	0.976760	−	0.214335i	$-0.0687585\pi$
$660$	19.0254	−	9.91971i	0.740564	−	0.386124i
$661$	−31.7121	+	31.7121i	−1.23346	+	1.23346i	−0.270832	+	0.962627i	$0.587299\pi$
$661$	−31.7121	+	31.7121i	−1.23346	+	1.23346i	−0.962627	+	0.270832i	$0.912701\pi$
$662$	29.2066	+	21.2198i	1.13515	+	0.824731i
$663$	21.8298	+	8.11307i	0.847798	+	0.315085i
$664$	−24.1138	−	74.2147i	−0.935798	−	2.88009i
$665$	12.2408	+	1.93875i	0.474678	+	0.0751816i
$666$	−5.17913	−	7.12846i	−0.200687	−	0.276222i
$667$	−2.92358	−	8.99784i	−0.113201	−	0.348398i
$668$	4.98269	+	9.77909i	0.192786	+	0.378364i
$669$	−0.439906	−	2.77746i	−0.0170077	−	0.107383i
$670$	3.94182	+	3.94182i	0.152286	+	0.152286i
$671$	−5.17667	+	16.4555i	−0.199843	+	0.635259i
$672$	7.87544			0.303802
$673$	−0.195065	−	0.141723i	−0.00751919	−	0.00546301i	0.584019	−	0.811740i	$-0.301479\pi$
$673$	−0.195065	−	0.141723i	−0.00751919	−	0.00546301i	−0.591539	+	0.806277i	$0.701479\pi$
$674$	5.04931	+	9.90982i	0.194492	+	0.381712i
$675$	2.45608	−	0.798029i	0.0945346	−	0.0307161i
$676$	−28.0398	−	46.2543i	−1.07845	−	1.77901i
$677$	11.7350	+	16.1519i	0.451014	+	0.620768i	0.972615	−	0.232422i	$-0.0746650\pi$
$677$	11.7350	+	16.1519i	0.451014	+	0.620768i	−0.521601	+	0.853190i	$0.674665\pi$
$678$	20.5207	+	10.4558i	0.788091	+	0.401552i
$679$	59.7961	+	19.4289i	2.29476	+	0.745614i
$680$	31.6589	−	43.5747i	1.21406	−	1.67101i
$681$	8.51549	−	8.51549i	0.326314	−	0.326314i
$682$	−28.4373	+	39.9224i	−1.08892	+	1.52871i
$683$	−13.9753	+	13.9753i	−0.534749	+	0.534749i	−0.921982	−	0.387233i	$-0.873431\pi$
$683$	−13.9753	+	13.9753i	−0.534749	+	0.534749i	0.387233	+	0.921982i	$0.373431\pi$
$684$	1.09356	+	6.90447i	0.0418133	+	0.263999i
$685$	4.27930	−	13.1703i	0.163504	−	0.503212i
$686$	95.2790	−	30.9580i	3.63777	−	1.18198i
$687$	1.81209	−	11.4411i	0.0691357	−	0.436505i
$688$	−16.7119	+	12.1419i	−0.637135	+	0.462905i
$689$	−11.3748	+	3.17853i	−0.433344	+	0.121092i
$690$	26.0849	+	8.47549i	0.993035	+	0.322657i
$691$	1.67831	+	10.5964i	0.0638458	+	0.403106i	0.998828	+	0.0484105i	$0.0154156\pi$
$691$	1.67831	+	10.5964i	0.0638458	+	0.403106i	−0.934982	+	0.354696i	$0.884584\pi$
$692$			15.7654i			0.599309i
$693$	14.0862	+	7.01169i	0.535089	+	0.266352i
$694$	16.8324	+	16.8324i	0.638948	+	0.638948i
$695$	15.5364	−	2.46073i	0.589330	−	0.0933408i
$696$	−3.24128	−	6.36138i	−0.122861	−	0.241127i
$697$	−61.8028	−	31.4901i	−2.34095	−	1.19277i
$698$	−12.5040	+	9.08467i	−0.473282	+	0.343860i
$699$	−12.5566	+	9.12293i	−0.474935	+	0.345061i
$700$	−23.1429	+	45.4206i	−0.874721	+	1.71674i
$701$	−3.39465	+	10.4476i	−0.128214	+	0.394602i	−0.994473	−	0.104993i	$-0.966518\pi$
$701$	−3.39465	+	10.4476i	−0.128214	+	0.394602i	0.866259	+	0.499595i	$0.166518\pi$
$702$	1.03052	+	8.88975i	0.0388944	+	0.335522i
$703$			5.96432i			0.224949i
$704$	19.4355	−	0.182229i	0.732502	−	0.00686803i
$705$	5.44942			0.205237
$706$	−10.0381	−	7.29312i	−0.377790	−	0.274480i
$707$	8.69766	−	4.43168i	0.327109	−	0.166670i
$708$	−20.1852	+	39.6158i	−0.758608	+	1.48885i
$709$	−8.29523	+	52.3740i	−0.311534	+	1.96695i	−0.0646246	+	0.997910i	$0.520585\pi$
$709$	−8.29523	+	52.3740i	−0.311534	+	1.96695i	−0.246909	+	0.969039i	$0.579415\pi$
$710$	−0.754282	−	0.119467i	−0.0283077	−	0.00448350i
$711$	−7.16026	+	2.32651i	−0.268531	+	0.0872509i
$712$	−2.99411	+	9.21493i	−0.112209	+	0.345344i
$713$	−41.7944	+	6.61958i	−1.56521	+	0.247905i
$714$	76.0595			2.84646
$715$	−18.2608	−	3.50010i	−0.682914	−	0.130896i
$716$	41.5621			1.55325
$717$	−2.13562	+	0.338250i	−0.0797564	+	0.0126322i
$718$	8.13281	−	25.0302i	0.303514	−	0.934119i
$719$	−39.9906	+	12.9937i	−1.49140	+	0.484584i	−0.937495	−	0.347998i	$-0.886862\pi$
$719$	−39.9906	+	12.9937i	−1.49140	+	0.484584i	−0.553902	+	0.832582i	$0.686862\pi$
$720$	7.66355	+	1.21379i	0.285604	+	0.0452352i
$721$	12.7334	−	80.3953i	0.474215	−	2.99408i
$722$	−18.2292	+	35.7767i	−0.678419	+	1.33147i
$723$	3.20575	−	1.63341i	0.119223	−	0.0607473i
$724$	−4.77624	−	3.47014i	−0.177507	−	0.128967i
$725$	3.43785			0.127679
$726$	−24.5552	−	11.9369i	−0.911330	−	0.443021i
$727$			43.9020i			1.62823i	0.580700	+	0.814117i	$0.302779\pi$
$727$			43.9020i			1.62823i	−0.580700	+	0.814117i	$0.697221\pi$
$728$	−71.9078	−	56.9682i	−2.66508	−	2.11138i
$729$	0.309017	−	0.951057i	0.0114451	−	0.0352243i
$730$	11.9826	−	23.5171i	0.443495	−	0.870408i
$731$	−21.6308	+	15.7157i	−0.800045	+	0.581267i
$732$	−17.5080	+	12.7203i	−0.647113	+	0.470155i
$733$	−13.9977	−	7.13220i	−0.517018	−	0.263434i	0.175954	−	0.984398i	$-0.443699\pi$
$733$	−13.9977	−	7.13220i	−0.517018	−	0.263434i	−0.692972	+	0.720965i	$0.743699\pi$
$734$	14.9710	+	29.3822i	0.552590	+	1.08452i
$735$	23.8150	−	3.77193i	0.878431	−	0.139130i
$736$	−8.34210	−	8.34210i	−0.307494	−	0.307494i
$737$	0.705046	−	4.73861i	0.0259707	−	0.174549i
$738$		−	26.6546i		−	0.981168i
$739$	−0.987101	−	6.23231i	−0.0363111	−	0.229259i	0.962858	−	0.270007i	$-0.0870260\pi$
$739$	−0.987101	−	6.23231i	−0.0363111	−	0.229259i	−0.999169	+	0.0407477i	$0.987026\pi$
$740$	21.8416	+	7.09676i	0.802912	+	0.260882i
$741$	2.97264	−	5.27823i	0.109203	−	0.193901i
$742$	−31.2059	+	22.6724i	−1.14560	+	0.832331i
$743$	4.06101	−	25.6402i	0.148984	−	0.940647i	−0.794026	−	0.607883i	$-0.792019\pi$
$743$	4.06101	−	25.6402i	0.148984	−	0.940647i	0.943010	−	0.332764i	$-0.107981\pi$
$744$	−30.3698	+	9.86776i	−1.11341	+	0.361770i
$745$	−8.14910	+	25.0804i	−0.298560	+	0.918873i
$746$	10.8115	+	68.2611i	0.395837	+	2.49922i
$747$	10.2884	−	10.2884i	0.376435	−	0.376435i
$748$	−89.1292	+	0.835686i	−3.25889	+	0.0305557i
$749$	16.8004	−	16.8004i	0.613871	−	0.613871i
$750$	−17.2001	+	23.6739i	−0.628060	+	0.864450i
$751$	−18.4842	−	6.00588i	−0.674498	−	0.219158i	−0.0483129	−	0.998832i	$-0.515384\pi$
$751$	−18.4842	−	6.00588i	−0.674498	−	0.219158i	−0.626185	+	0.779675i	$0.715384\pi$
$752$	−15.5837	−	7.94029i	−0.568279	−	0.289553i
$753$	−10.6000	−	14.5896i	−0.386285	−	0.531676i
$754$	−2.35228	+	11.6790i	−0.0856649	+	0.425323i
$755$	3.68521	−	1.19740i	0.134118	−	0.0435777i
$756$	8.96153	+	17.5880i	0.325928	+	0.639669i
$757$	24.9931	+	18.1586i	0.908390	+	0.659984i	0.940607	−	0.339497i	$-0.110257\pi$
$757$	24.9931	+	18.1586i	0.908390	+	0.659984i	−0.0322172	+	0.999481i	$0.510257\pi$
$758$	−60.9668			−2.21441
$759$	−7.49368	−	22.3480i	−0.272003	−	0.811182i
$760$	−9.90670	−	9.90670i	−0.359354	−	0.359354i
$761$	−6.91658	−	43.6696i	−0.250726	−	1.58302i	−0.716158	−	0.697938i	$-0.754101\pi$
$761$	−6.91658	−	43.6696i	−0.250726	−	1.58302i	0.465433	−	0.885083i	$-0.345899\pi$
$762$	2.96634	+	5.82177i	0.107459	+	0.210900i
$763$	0.430711	+	1.32559i	0.0155928	+	0.0479896i
$764$	28.6979	+	39.4993i	1.03825	+	1.42903i
$765$	9.91922	+	1.57105i	0.358630	+	0.0568015i
$766$	17.1550	+	52.7978i	0.619837	+	1.90766i
$767$	35.0286	−	16.0464i	1.26481	−	0.579403i
$768$	26.3931	+	19.1757i	0.952378	+	0.691943i
$769$	18.7884	−	18.7884i	0.677526	−	0.677526i	−0.281914	−	0.959440i	$-0.590969\pi$
$769$	18.7884	−	18.7884i	0.677526	−	0.677526i	0.959440	+	0.281914i	$0.0909692\pi$
$770$	−59.8851	+	10.0613i	−2.15811	+	0.362584i
$771$		−	0.338850i		−	0.0122034i
$772$	79.0710	−	12.5236i	2.84583	−	0.450735i
$773$	44.3846	−	22.6151i	1.59640	−	0.813409i	0.596462	−	0.802641i	$-0.296573\pi$
$773$	44.3846	−	22.6151i	1.59640	−	0.813409i	0.999942	−	0.0107672i	$-0.00342739\pi$
$774$	−9.15463	−	4.66452i	−0.329056	−	0.167663i
$775$	2.40539	−	15.1871i	0.0864043	−	0.545535i
$776$	−41.7772	−	57.5014i	−1.49971	−	2.06418i
$777$	5.20438	+	16.0174i	0.186706	+	0.574622i
$778$	−0.922658	+	0.470118i	−0.0330789	+	0.0168545i
$779$	−10.6051	+	14.5966i	−0.379966	+	0.522978i
$780$	−15.7920	−	17.1663i	−0.565446	−	0.614652i
$781$	0.303428	+	0.581957i	0.0108575	+	0.0208240i
$782$	−80.5665	−	80.5665i	−2.88105	−	2.88105i
$783$	0.782474	−	1.07698i	0.0279633	−	0.0384882i
$784$	−73.5998	−	23.9140i	−2.62856	−	0.854072i
$785$	−15.3398	+	30.1060i	−0.547501	+	1.07453i
$786$	30.9347	+	4.89958i	1.10341	+	0.174762i
$787$	−35.1546	−	5.56794i	−1.25313	−	0.198476i	−0.505634	−	0.862748i	$-0.668742\pi$
$787$	−35.1546	−	5.56794i	−1.25313	−	0.198476i	−0.747491	+	0.664272i	$0.768742\pi$
$788$	35.5799	−	69.8295i	1.26748	−	2.48757i
$789$	0.754883	+	0.245276i	0.0268745	+	0.00873207i
$790$	17.0782	−	23.5062i	0.607616	−	0.836312i
$791$	−31.1275	−	31.1275i	−1.10677	−	1.10677i
$792$	−8.22360	−	15.7724i	−0.292213	−	0.560447i
$793$	18.7371	+	0.781278i	0.665373	+	0.0277440i
$794$	−26.7660	+	36.8403i	−0.949892	+	1.30741i
$795$	−4.53800	+	2.31222i	−0.160946	+	0.0820061i
$796$	−24.5193	−	75.4627i	−0.869065	−	2.67471i
$797$	7.92908	+	10.9134i	0.280862	+	0.386574i	0.926019	−	0.377476i	$-0.123208\pi$
$797$	7.92908	+	10.9134i	0.280862	+	0.386574i	−0.645157	+	0.764050i	$0.723208\pi$
$798$	3.09495	−	19.5407i	0.109560	−	0.691735i
$799$	−20.1706	−	10.2774i	−0.713584	−	0.363589i
$800$	3.81968	−	1.94622i	0.135046	−	0.0688094i
$801$	−1.78438	+	0.282618i	−0.0630479	+	0.00998581i
$802$		−	14.8879i		−	0.525711i
$803$	−22.3694	+	3.75828i	−0.789397	+	0.132627i
$804$	4.24977	−	4.24977i	0.149878	−	0.149878i
$805$	−42.4120	−	30.8141i	−1.49483	−	1.08606i
$806$	49.9471	+	18.5629i	1.75931	+	0.653851i
$807$	3.25252	+	10.0102i	0.114494	+	0.352377i
$808$	−10.8992	−	1.72627i	−0.383433	−	0.0607298i
$809$	15.6688	+	21.5663i	0.550887	+	0.758231i	0.990132	−	0.140136i	$-0.0447540\pi$
$809$	15.6688	+	21.5663i	0.550887	+	0.758231i	−0.439245	+	0.898367i	$0.644754\pi$
$810$	1.19257	+	3.67036i	0.0419027	+	0.128963i
$811$	14.9341	+	29.3098i	0.524406	+	1.02921i	0.989580	+	0.143986i	$0.0459920\pi$
$811$	14.9341	+	29.3098i	0.524406	+	1.02921i	−0.465173	+	0.885220i	$0.654008\pi$
$812$	4.11073	+	25.9541i	0.144258	+	0.910812i
$813$	3.09571	+	3.09571i	0.108571	+	0.108571i
$814$	−9.29079	−	27.7074i	−0.325642	−	0.971145i
$815$	31.5096			1.10373
$816$	−26.0768	−	18.9459i	−0.912871	−	0.663239i
$817$	3.15740	+	6.19675i	0.110463	+	0.216797i
$818$	50.3644	−	16.3644i	1.76095	−	0.572167i
$819$	3.37743	−	16.7688i	0.118017	−	0.585949i
$820$	40.8347	+	56.2042i	1.42601	+	1.96274i
$821$	26.3464	+	13.4241i	0.919495	+	0.468506i	0.848634	−	0.528980i	$-0.177425\pi$
$821$	26.3464	+	13.4241i	0.919495	+	0.468506i	0.0708607	+	0.997486i	$0.477425\pi$
$822$	−21.0246	−	6.83130i	−0.733317	−	0.238269i
$823$	18.6416	−	25.6579i	0.649805	−	0.894380i	−0.349286	−	0.937016i	$-0.613576\pi$
$823$	18.6416	−	25.6579i	0.649805	−	0.894380i	0.999091	+	0.0426364i	$0.0135757\pi$
$824$	−65.0653	+	65.0653i	−2.26666	+	2.26666i
$825$	8.56473	−	0.0803039i	0.298185	−	0.00279582i
$826$	88.9781	−	88.9781i	3.09594	−	3.09594i
$827$	−7.35890	−	46.4623i	−0.255894	−	1.61565i	−0.696231	−	0.717818i	$-0.745141\pi$
$827$	−7.35890	−	46.4623i	−0.255894	−	1.61565i	0.440337	−	0.897833i	$-0.354859\pi$
$828$	9.13763	−	28.1227i	0.317555	−	0.977333i
$829$	9.42602	−	3.06270i	0.327379	−	0.106372i	−0.140716	−	0.990050i	$-0.544940\pi$
$829$	9.42602	−	3.06270i	0.327379	−	0.106372i	0.468095	+	0.883678i	$0.344940\pi$
$830$	−8.78414	+	55.4609i	−0.304902	+	1.92507i
$831$	−8.90781	+	6.47190i	−0.309009	+	0.224508i
$832$	−5.68653	−	20.3499i	−0.197145	−	0.705507i
$833$	−95.2630	−	30.9528i	−3.30067	−	1.07245i
$834$	−3.92821	−	24.8017i	−0.136023	−	0.858814i
$835$		−	4.10140i		−	0.141935i
$836$	−3.41207	+	22.9325i	−0.118009	+	0.793138i
$837$	−4.21020	−	4.21020i	−0.145526	−	0.145526i
$838$	−20.5664	+	3.25740i	−0.710454	+	0.112525i
$839$	11.9211	+	23.3965i	0.411562	+	0.807736i	1.00000		0.000806910i	$-0.000256847\pi$
$839$	11.9211	+	23.3965i	0.411562	+	0.807736i	−0.588438	+	0.808542i	$0.700257\pi$
$840$	−35.2493	−	17.9604i	−1.21622	−	0.619693i
$841$	−22.0278	+	16.0041i	−0.759579	+	0.551866i
$842$	−73.8718	+	53.6710i	−2.54579	+	1.84963i
$843$	6.92521	−	13.5915i	0.238517	−	0.468116i
$844$	0.605649	−	1.86399i	0.0208473	−	0.0641613i
$845$	1.48903	+	20.1580i	0.0512242	+	0.693456i
$846$		−	8.69925i		−	0.299086i
$847$	37.5868	+	36.2030i	1.29150	+	1.24395i
$848$	16.3464			0.561338
$849$	8.35460	+	6.06998i	0.286729	+	0.208321i
$850$	36.8898	−	18.7963i	1.26531	−	0.644707i
$851$	11.4538	−	22.4793i	0.392631	−	0.770581i
$852$	−0.128800	+	0.813210i	−0.00441261	+	0.0278601i
$853$	−14.4963	−	2.29599i	−0.496344	−	0.0786132i	−0.0967562	−	0.995308i	$-0.530847\pi$
$853$	−14.4963	−	2.29599i	−0.496344	−	0.0786132i	−0.399588	+	0.916695i	$0.630847\pi$
$854$	58.2499	−	18.9265i	1.99327	−	0.647653i
$855$	0.807249	−	2.48446i	0.0276073	−	0.0849666i
$856$	−26.5282	+	4.20165i	−0.906714	+	0.143609i
$857$	−19.0034			−0.649143			−0.324571	−	0.945861i	$-0.605220\pi$
$857$	−19.0034			−0.649143			−0.324571	+	0.945861i	$0.605220\pi$
$858$	−5.58742	+	29.1508i	−0.190751	+	0.995190i
$859$	8.92176			0.304406			0.152203	−	0.988349i	$-0.451363\pi$
$859$	8.92176			0.304406			0.152203	+	0.988349i	$0.451363\pi$
$860$	26.4496	−	4.18921i	0.901924	−	0.142851i
$861$	−15.7435	+	48.4537i	−0.536539	+	1.65130i
$862$	12.9064	−	4.19354i	0.439593	−	0.142833i
$863$	−44.9569	−	7.12048i	−1.53035	−	0.242384i	−0.666260	−	0.745719i	$-0.732106\pi$
$863$	−44.9569	−	7.12048i	−1.53035	−	0.242384i	−0.864091	+	0.503335i	$0.832106\pi$
$864$	0.259682	−	1.63957i	0.00883457	−	0.0557793i
$865$	2.67464	−	5.24928i	0.0909406	−	0.178481i
$866$	−36.3676	+	18.5302i	−1.23582	+	0.629683i
$867$	−19.9989	−	14.5301i	−0.679199	−	0.493467i
$868$	117.531			3.98927
$869$	−24.9689	+	0.234111i	−0.847012	+	0.00794169i
$870$			5.13752i			0.174178i
$871$	−5.17348	+	0.599720i	−0.175297	+	0.0203207i
$872$	0.486900	−	1.49852i	0.0164885	−	0.0507464i
$873$	6.01656	−	11.8082i	0.203630	−	0.399646i
$874$	−23.9770	+	17.4203i	−0.811033	+	0.589250i
$875$	45.2501	−	32.8761i	1.52973	−	1.11141i
$876$	−25.3544	−	12.9187i	−0.856645	−	0.436483i
$877$	−10.0259	−	19.6769i	−0.338549	−	0.664440i	0.657480	−	0.753472i	$-0.271623\pi$
$877$	−10.0259	−	19.6769i	−0.338549	−	0.664440i	−0.996029	+	0.0890321i	$0.971623\pi$
$878$	−75.5329	+	11.9632i	−2.54911	+	0.403740i
$879$	−4.24038	−	4.24038i	−0.143025	−	0.143025i
$880$	23.0376	+	11.4675i	0.776598	+	0.386568i
$881$		−	36.5109i		−	1.23008i	−0.788494	−	0.615042i	$-0.789139\pi$
$881$		−	36.5109i		−	1.23008i	0.788494	−	0.615042i	$-0.210861\pi$
$882$	−6.02136	−	38.0174i	−0.202750	−	1.28011i
$883$	28.7165	+	9.33057i	0.966389	+	0.313999i	0.749357	−	0.662166i	$-0.230363\pi$
$883$	28.7165	+	9.33057i	0.966389	+	0.313999i	0.217031	+	0.976165i	$0.430363\pi$
$884$	26.0779	+	93.3228i	0.877093	+	3.13879i
$885$	13.4419	−	9.76609i	0.451844	−	0.328284i
$886$	2.90317	−	18.3299i	0.0975339	−	0.615805i
$887$	27.6639	−	8.98855i	0.928863	−	0.301806i	0.194766	−	0.980850i	$-0.437605\pi$
$887$	27.6639	−	8.98855i	0.928863	−	0.301806i	0.734098	+	0.679044i	$0.237605\pi$
$888$	5.88332	−	18.1070i	0.197431	−	0.607631i
$889$	−1.95369	−	12.3351i	−0.0655246	−	0.413706i
$890$	4.93008	−	4.93008i	0.165257	−	0.165257i
$891$	1.92422	−	2.70137i	0.0644638	−	0.0904991i
$892$	8.27338	−	8.27338i	0.277013	−	0.277013i
$893$	−3.46117	+	4.76390i	−0.115824	+	0.159418i
$894$	40.0373	+	13.0089i	1.33905	+	0.435083i
$895$	−13.8386	−	7.05114i	−0.462575	−	0.235694i
$896$	−49.8200	−	68.5714i	−1.66437	−	2.29081i
$897$	−21.3400	+	14.1849i	−0.712522	+	0.473619i
$898$	40.2723	−	13.0853i	1.34390	−	0.436661i
$899$	−3.59845	−	7.06235i	−0.120015	−	0.235543i
$900$	8.69289	+	6.31576i	0.289763	+	0.210525i
$901$	21.1578			0.704868
$902$	26.5286	−	84.3289i	0.883306	−	2.80784i
$903$	13.8865	+	13.8865i	0.462114	+	0.462114i
$904$	7.78476	+	49.1510i	0.258917	+	1.63474i
$905$	1.00159	+	1.96573i	0.0332940	+	0.0653431i
$906$	−1.91148	−	5.88292i	−0.0635046	−	0.195447i
$907$	−4.20994	−	5.79449i	−0.139789	−	0.192403i	0.733382	−	0.679816i	$-0.237940\pi$
$907$	−4.20994	−	5.79449i	−0.139789	−	0.192403i	−0.873171	+	0.487413i	$0.837940\pi$
$908$	49.4897	+	7.83840i	1.64237	+	0.260126i
$909$	−0.635827	−	1.95687i	−0.0210890	−	0.0649054i
$910$	27.4934	+	60.0167i	0.911398	+	1.98954i
$911$	41.4481	+	30.1138i	1.37324	+	0.997715i	0.997476	+	0.0709985i	$0.0226186\pi$
$911$	41.4481	+	30.1138i	1.37324	+	0.997715i	0.375761	+	0.926717i	$0.377381\pi$
$912$	−5.92856	+	5.92856i	−0.196314	+	0.196314i
$913$	42.7901	−	22.3104i	1.41615	−	0.738368i
$914$			48.3162i			1.59816i
$915$	7.98754	−	1.26510i	0.264060	−	0.0418230i
$916$	42.9437	−	21.8809i	1.41890	−	0.722965i
$917$	−53.3404	−	27.1783i	−1.76145	−	0.897506i
$918$	2.50796	−	15.8347i	0.0827751	−	0.522622i
$919$	−18.1361	−	24.9622i	−0.598256	−	0.823428i	0.397292	−	0.917692i	$-0.369950\pi$
$919$	−18.1361	−	24.9622i	−0.598256	−	0.823428i	−0.995547	+	0.0942642i	$0.969950\pi$
$920$	18.3133	+	56.3626i	0.603773	+	1.85822i
$921$	19.7282	−	10.0520i	0.650065	−	0.331225i
$922$	−12.6711	+	17.4403i	−0.417302	+	0.574367i
$923$	0.525089	−	0.483053i	0.0172835	−	0.0158999i
$924$	10.8473	+	64.5635i	0.356851	+	2.12398i
$925$	6.48250	+	6.48250i	0.213143	+	0.213143i
$926$	−45.0749	+	62.0403i	−1.48125	+	2.03877i
$927$	−16.3174	−	5.30186i	−0.535935	−	0.174136i
$928$	1.00325	−	1.96898i	0.0329332	−	0.0646350i
$929$	56.7703	+	8.99154i	1.86257	+	0.295003i	0.983394	−	0.181486i	$-0.0580907\pi$
$929$	56.7703	+	8.99154i	1.86257	+	0.295003i	0.879181	+	0.476489i	$0.158091\pi$
$930$	22.6955	+	3.59461i	0.744214	+	0.117872i
$931$	−11.8286	+	23.2149i	−0.387666	+	0.760837i
$932$	−61.4175	−	19.9558i	−2.01180	−	0.653673i
$933$	−9.38569	+	12.9183i	−0.307274	+	0.422926i
$934$	−29.0728	−	29.0728i	−0.951291	−	0.951291i
$935$	29.8185	+	14.8428i	0.975169	+	0.485411i
$936$	−14.2311	+	13.0919i	−0.465159	+	0.427921i
$937$	−9.57826	+	13.1833i	−0.312908	+	0.430681i	−0.936285	−	0.351240i	$-0.885760\pi$
$937$	−9.57826	+	13.1833i	−0.312908	+	0.430681i	0.623377	+	0.781921i	$0.285760\pi$
$938$	−15.1556	+	7.72214i	−0.494846	+	0.252137i
$939$	0.0121784	+	0.0374811i	0.000397426	+	0.00122315i
$940$	13.3272	+	18.3434i	0.434686	+	0.598294i
$941$	−0.406384	+	2.56581i	−0.0132477	+	0.0836429i	−0.993426	−	0.114473i	$-0.963482\pi$
$941$	−0.406384	+	2.56581i	−0.0132477	+	0.0836429i	0.980179	+	0.198116i	$0.0634821\pi$
$942$	48.0601	+	24.4878i	1.56588	+	0.797857i
$943$	68.0012	−	34.6484i	2.21442	−	1.12831i
$944$	−52.6697	+	8.34206i	−1.71425	+	0.271511i
$945$		−	7.37650i		−	0.239958i
$946$	−24.3206	−	23.8688i	−0.790732	−	0.776042i
$947$	−31.7674	+	31.7674i	−1.03230	+	1.03230i	−0.0328416	+	0.999461i	$0.510456\pi$
$947$	−31.7674	+	31.7674i	−1.03230	+	1.03230i	−0.999461	+	0.0328416i	$0.989544\pi$
$948$	−25.3426	−	18.4124i	−0.823088	−	0.598008i
$949$	10.2698	+	22.4185i	0.333373	+	0.727737i
$950$	−3.32793	−	10.2423i	−0.107972	−	0.332305i
$951$	2.50076	+	0.396082i	0.0810928	+	0.0128438i
$952$	96.5995	+	132.958i	3.13081	+	4.30919i
$953$	15.6873	+	48.2804i	0.508160	+	1.56396i	0.795392	+	0.606095i	$0.207265\pi$
$953$	15.6873	+	48.2804i	0.508160	+	1.56396i	−0.287232	+	0.957861i	$0.592735\pi$
$954$	3.69114	+	7.24428i	0.119505	+	0.234542i
$955$	−2.85416	−	18.0205i	−0.0923585	−	0.583129i
$956$	−6.36152	−	6.36152i	−0.205746	−	0.205746i
$957$	3.54746	−	2.62855i	0.114673	−	0.0849689i
$958$	83.3840			2.69401
$959$	34.1843	+	24.8364i	1.10387	+	0.802009i
$960$	−4.13666	−	8.11866i	−0.133510	−	0.262029i
$961$	−4.23363	+	1.37559i	−0.136569	+	0.0443739i
$962$	−26.4577	+	17.5866i	−0.853029	+	0.567016i
$963$	−2.94366	−	4.05159i	−0.0948580	−	0.130561i
$964$	13.3383	+	6.79620i	0.429598	+	0.218891i
$965$	−28.4524	−	9.24474i	−0.915915	−	0.297599i
$966$	−49.1905	+	67.7049i	−1.58268	+	2.17837i
$967$	−28.7601	+	28.7601i	−0.924864	+	0.924864i	−0.997368	−	0.0725041i	$-0.976901\pi$
$967$	−28.7601	+	28.7601i	−0.924864	+	0.924864i	0.0725041	+	0.997368i	$0.476901\pi$
$968$	−10.3197	−	58.0849i	−0.331688	−	1.86692i
$969$	−7.67356	+	7.67356i	−0.246510	+	0.246510i
$970$	8.00085	+	50.5154i	0.256892	+	1.62195i
$971$	−6.93121	+	21.3321i	−0.222433	+	0.684578i	0.776109	+	0.630599i	$0.217191\pi$
$971$	−6.93121	+	21.3321i	−0.222433	+	0.684578i	−0.998542	+	0.0539796i	$0.982809\pi$
$972$	3.95710	−	1.28574i	0.126924	−	0.0412401i
$973$	−7.50833	+	47.4057i	−0.240706	+	1.51976i
$974$	−69.3463	+	50.3831i	−2.22200	+	1.61438i
$975$	−2.50591	−	8.96771i	−0.0802533	−	0.287196i
$976$	−24.6853	−	8.02074i	−0.790157	−	0.256738i
$977$	2.90286	+	18.3279i	0.0928706	+	0.586362i	0.989607	+	0.143797i	$0.0459313\pi$
$977$	2.90286	+	18.3279i	0.0928706	+	0.586362i	−0.896737	+	0.442565i	$0.854069\pi$
$978$		−	50.3007i		−	1.60844i
$979$	−5.92664	−	0.881809i	−0.189416	−	0.0281828i
$980$	70.9393	+	70.9393i	2.26607	+	2.26607i
$981$	0.290174	−	0.0459590i	0.00926454	−	0.00146736i
$982$	21.2371	+	41.6802i	0.677703	+	1.33007i
$983$	54.3017	+	27.6681i	1.73195	+	0.882474i	0.972828	+	0.231531i	$0.0743735\pi$
$983$	54.3017	+	27.6681i	1.73195	+	0.882474i	0.759126	+	0.650943i	$0.225627\pi$
$984$	46.5942	−	33.8527i	1.48537	−	1.07918i
$985$	−23.6936	+	17.2144i	−0.754940	+	0.548496i
$986$	9.68917	−	19.0161i	0.308566	−	0.605595i
$987$	−5.13822	+	15.8138i	−0.163551	+	0.503359i
$988$	25.0371	−	2.90235i	0.796535	−	0.0923359i
$989$		−	29.4187i		−	0.935462i
$990$	0.120006	+	12.7991i	0.00381404	+	0.406782i
$991$	−18.3022			−0.581387			−0.290694	−	0.956816i	$-0.593886\pi$
$991$	−18.3022			−0.581387			−0.290694	+	0.956816i	$0.593886\pi$
$992$	−7.99622	−	5.80959i	−0.253880	−	0.184455i
$993$	−12.9595	+	6.60318i	−0.411256	+	0.209546i
$994$	1.05789	−	2.07623i	0.0335542	−	0.0658539i
$995$	−4.63846	+	29.2861i	−0.147049	+	0.928431i
$996$	59.7937	+	9.47039i	1.89464	+	0.300081i
$997$	33.8432	−	10.9963i	1.07182	−	0.348257i	0.280627	−	0.959817i	$-0.409458\pi$
$997$	33.8432	−	10.9963i	1.07182	−	0.348257i	0.791198	+	0.611560i	$0.209458\pi$
$998$	18.7677	−	57.7610i	0.594081	−	1.82839i
$999$	3.50624	−	0.555334i	0.110932	−	0.0175700i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	429.2.bj.a.73.2	✓	112
11.8	odd	10	inner	429.2.bj.a.151.13	yes	112
13.5	odd	4	inner	429.2.bj.a.304.13	yes	112
143.96	even	20	inner	429.2.bj.a.382.2	yes	112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
429.2.bj.a.73.2	✓	112	1.1	even	1	trivial
429.2.bj.a.151.13	yes	112	11.8	odd	10	inner
429.2.bj.a.304.13	yes	112	13.5	odd	4	inner
429.2.bj.a.382.2	yes	112	143.96	even	20	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 429 = 3 \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	429.bj (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.45153 + 0.388283i) q^{2} +(0.309017 - 0.951057i) q^{3} +(3.95710 - 1.28574i) q^{4} +(-1.53570 - 0.243230i) q^{5} +(-0.388283 + 2.45153i) q^{6} +(2.15383 - 4.22713i) q^{7} +(-4.77859 + 2.43481i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})\)	\(q+(-2.45153 + 0.388283i) q^{2} +(0.309017 - 0.951057i) q^{3} +(3.95710 - 1.28574i) q^{4} +(-1.53570 - 0.243230i) q^{5} +(-0.388283 + 2.45153i) q^{6} +(2.15383 - 4.22713i) q^{7} +(-4.77859 + 2.43481i) q^{8} +(-0.809017 - 0.587785i) q^{9} +3.85924 q^{10} +(-1.97453 - 2.66481i) q^{11} -4.16074i q^{12} +(-2.23897 + 2.82613i) q^{13} +(-3.63885 + 11.1992i) q^{14} +(-0.705882 + 1.38537i) q^{15} +(4.03722 - 2.93321i) q^{16} +(5.22552 - 3.79657i) q^{17} +(2.21155 + 1.12684i) q^{18} +(-0.762757 - 1.49700i) q^{19} +(-6.38963 + 1.01202i) q^{20} +(-3.35467 - 3.35467i) q^{21} +(5.87532 + 5.76617i) q^{22} +7.10691i q^{23} +(0.838979 + 5.29711i) q^{24} +(-2.45608 - 0.798029i) q^{25} +(4.39156 - 7.79768i) q^{26} +(-0.809017 + 0.587785i) q^{27} +(3.08793 - 19.4964i) q^{28} +(-1.26607 + 0.411371i) q^{29} +(1.19257 - 3.67036i) q^{30} +(0.931429 + 5.88081i) q^{31} +(-1.17380 + 1.17380i) q^{32} +(-3.14455 + 1.05442i) q^{33} +(-11.3364 + 11.3364i) q^{34} +(-4.33580 + 5.96772i) q^{35} +(-3.95710 - 1.28574i) q^{36} +(-3.16302 - 1.61164i) q^{37} +(2.45118 + 3.37376i) q^{38} +(1.99593 + 3.00271i) q^{39} +(7.93068 - 2.57684i) q^{40} +(-4.87531 - 9.56833i) q^{41} +(9.52663 + 6.92150i) q^{42} -4.13946 q^{43} +(-11.2397 - 8.00618i) q^{44} +(1.09944 + 1.09944i) q^{45} +(-2.75950 - 17.4228i) q^{46} +(-1.59115 - 3.12281i) q^{47} +(-1.54208 - 4.74603i) q^{48} +(-9.11516 - 12.5459i) q^{49} +(6.33100 + 1.00273i) q^{50} +(-1.99597 - 6.14297i) q^{51} +(-5.22617 + 14.0620i) q^{52} +(2.65006 + 1.92538i) q^{53} +(1.75510 - 1.75510i) q^{54} +(2.38412 + 4.57261i) q^{55} +25.4439i q^{56} +(-1.65943 + 0.262828i) q^{57} +(2.94407 - 1.50008i) q^{58} +(-9.52133 - 4.85136i) q^{59} +(-1.01202 + 6.38963i) q^{60} +(-3.05722 - 4.20790i) q^{61} +(-4.56684 - 14.0553i) q^{62} +(-4.22713 + 2.15383i) q^{63} +(-3.44458 + 4.74106i) q^{64} +(4.12578 - 3.79549i) q^{65} +(7.29953 - 3.80592i) q^{66} +(1.02140 + 1.02140i) q^{67} +(15.7965 - 21.7420i) q^{68} +(6.75907 + 2.19616i) q^{69} +(8.31216 - 16.3135i) q^{70} +(-0.195448 - 0.0309560i) q^{71} +(5.29711 + 0.838979i) q^{72} +(3.10491 - 6.09372i) q^{73} +(8.38001 + 2.72283i) q^{74} +(-1.51794 + 2.08927i) q^{75} +(-4.94305 - 4.94305i) q^{76} +(-15.5173 + 2.60707i) q^{77} +(-6.05897 - 6.58624i) q^{78} +(4.42528 - 6.09088i) q^{79} +(-6.91339 + 3.52255i) q^{80} +(0.309017 + 0.951057i) q^{81} +(15.6672 + 21.5640i) q^{82} +(-2.27613 + 14.3709i) q^{83} +(-17.5880 - 8.96153i) q^{84} +(-8.94826 + 4.55937i) q^{85} +(10.1480 - 1.60728i) q^{86} +1.33122i q^{87} +(15.9238 + 7.92641i) q^{88} +(1.27747 - 1.27747i) q^{89} +(-3.12219 - 2.26840i) q^{90} +(7.12405 + 15.5514i) q^{91} +(9.13763 + 28.1227i) q^{92} +(5.88081 + 0.931429i) q^{93} +(5.11329 + 7.03784i) q^{94} +(0.807249 + 2.48446i) q^{95} +(0.753627 + 1.47908i) q^{96} +(2.07317 + 13.0895i) q^{97} +(27.2174 + 27.2174i) q^{98} +(0.0310957 + 3.31648i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9}+O(q^{10}) \) 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9	\( 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9} - 10 q^{11} + 10 q^{13} - 60 q^{14} + 4 q^{15} + 80 q^{16} - 74 q^{20} + 8 q^{22} + 30 q^{24} + 38 q^{26} - 28 q^{27} - 20 q^{29} - 8 q^{31} + 20 q^{33} - 48 q^{34} + 20 q^{35} + 12 q^{37} - 10 q^{39} + 40 q^{40} - 110 q^{41} + 20 q^{42} - 36 q^{44} + 4 q^{45} - 20 q^{46} - 30 q^{47} - 20 q^{48} + 90 q^{50} - 10 q^{52} + 52 q^{53} - 64 q^{55} + 30 q^{57} + 24 q^{58} - 36 q^{59} - 74 q^{60} - 60 q^{61} + 48 q^{66} + 60 q^{67} + 60 q^{68} + 116 q^{70} + 20 q^{71} - 30 q^{72} + 70 q^{73} + 120 q^{74} - 52 q^{78} - 120 q^{79} + 8 q^{80} - 28 q^{81} + 30 q^{83} + 30 q^{84} - 40 q^{85} + 62 q^{86} + 48 q^{89} - 4 q^{91} - 144 q^{92} - 8 q^{93} - 20 q^{94} + 82 q^{97} - 10 q^{99}+O(q^{100}) \) 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9 - 10 * q^11 + 10 * q^13 - 60 * q^14 + 4 * q^15 + 80 * q^16 - 74 * q^20 + 8 * q^22 + 30 * q^24 + 38 * q^26 - 28 * q^27 - 20 * q^29 - 8 * q^31 + 20 * q^33 - 48 * q^34 + 20 * q^35 + 12 * q^37 - 10 * q^39 + 40 * q^40 - 110 * q^41 + 20 * q^42 - 36 * q^44 + 4 * q^45 - 20 * q^46 - 30 * q^47 - 20 * q^48 + 90 * q^50 - 10 * q^52 + 52 * q^53 - 64 * q^55 + 30 * q^57 + 24 * q^58 - 36 * q^59 - 74 * q^60 - 60 * q^61 + 48 * q^66 + 60 * q^67 + 60 * q^68 + 116 * q^70 + 20 * q^71 - 30 * q^72 + 70 * q^73 + 120 * q^74 - 52 * q^78 - 120 * q^79 + 8 * q^80 - 28 * q^81 + 30 * q^83 + 30 * q^84 - 40 * q^85 + 62 * q^86 + 48 * q^89 - 4 * q^91 - 144 * q^92 - 8 * q^93 - 20 * q^94 + 82 * q^97 - 10 * q^99

Introduction

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