LMFDB - Embedded newform 429.2.bm.a.17.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [429,2,Mod(17,429)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(429, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 27, 5]))

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

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

chi := DirichletCharacter("429.17");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 429 = 3 \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	429.bm (of order $30$, 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:	$416$
Relative dimension:	$52$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			17.4
Character	$\chi$	$=$	429.17
Dual form			429.2.bm.a.101.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.524846 + 2.46921i) q^{2} +(0.0967708 + 1.72935i) q^{3} +(-3.99443 - 1.77843i) q^{4} +(0.945056 - 2.90858i) q^{5} +(-4.32090 - 0.668693i) q^{6} +(-2.33841 - 1.04113i) q^{7} +(3.52021 - 4.84515i) q^{8} +(-2.98127 + 0.334700i) q^{9} +O(q^{10})$	\(q+(-0.524846 + 2.46921i) q^{2} +(0.0967708 + 1.72935i) q^{3} +(-3.99443 - 1.77843i) q^{4} +(0.945056 - 2.90858i) q^{5} +(-4.32090 - 0.668693i) q^{6} +(-2.33841 - 1.04113i) q^{7} +(3.52021 - 4.84515i) q^{8} +(-2.98127 + 0.334700i) q^{9} +(6.68589 + 3.86010i) q^{10} +(-3.07478 - 1.24327i) q^{11} +(2.68898 - 7.07985i) q^{12} +(-1.12799 - 3.42456i) q^{13} +(3.79806 - 5.22759i) q^{14} +(5.12140 + 1.35286i) q^{15} +(4.26464 + 4.73637i) q^{16} +(4.20585 - 0.893981i) q^{17} +(0.738264 - 7.53704i) q^{18} +(-0.353164 + 3.36013i) q^{19} +(-8.94769 + 9.93741i) q^{20} +(1.57418 - 4.14467i) q^{21} +(4.68368 - 6.93975i) q^{22} +(-0.406836 - 0.234887i) q^{23} +(8.71960 + 5.61879i) q^{24} +(-3.52164 - 2.55862i) q^{25} +(9.04798 - 0.987865i) q^{26} +(-0.867313 - 5.12326i) q^{27} +(7.48904 + 8.31742i) q^{28} +(-0.810232 - 7.70884i) q^{29} +(-6.02844 + 11.9358i) q^{30} +(-7.10964 + 2.31006i) q^{31} +(-3.56020 + 2.05548i) q^{32} +(1.85250 - 5.43767i) q^{33} +10.8543i q^{34} +(-5.23813 + 5.81754i) q^{35} +(12.5037 + 3.96506i) q^{36} +(-9.22162 + 0.969231i) q^{37} +(-8.11150 - 2.63559i) q^{38} +(5.81310 - 2.28208i) q^{39} +(-10.7657 - 14.8178i) q^{40} +(3.54840 + 7.96984i) q^{41} +(9.40784 + 6.06229i) q^{42} +(-1.04329 + 0.602342i) q^{43} +(10.0709 + 10.4345i) q^{44} +(-1.84396 + 8.98759i) q^{45} +(0.793511 - 0.881283i) q^{46} +(-2.25396 - 1.63759i) q^{47} +(-7.77812 + 7.83338i) q^{48} +(-0.299700 - 0.332850i) q^{49} +(8.16609 - 7.35278i) q^{50} +(1.95301 + 7.18686i) q^{51} +(-1.58470 + 15.6852i) q^{52} +(2.86780 - 0.931804i) q^{53} +(13.1056 + 0.547348i) q^{54} +(-6.52200 + 7.76830i) q^{55} +(-13.2761 + 7.66497i) q^{56} +(-5.84500 - 0.285580i) q^{57} +(19.4600 + 2.04533i) q^{58} +(-9.69967 - 4.31857i) q^{59} +(-18.0511 - 14.5120i) q^{60} +(-0.602808 - 2.83599i) q^{61} +(-1.97256 - 18.7676i) q^{62} +(7.31990 + 2.32122i) q^{63} +(0.732126 + 2.25325i) q^{64} +(-11.0266 + 0.0444401i) q^{65} +(12.4545 + 7.42814i) q^{66} +(-6.23687 - 3.60086i) q^{67} +(-18.3899 - 3.90889i) q^{68} +(0.366831 - 0.726291i) q^{69} +(-11.6155 - 15.9873i) q^{70} +(5.39956 - 1.14771i) q^{71} +(-8.87303 + 15.6229i) q^{72} +(1.98175 - 1.43983i) q^{73} +(2.44670 - 23.2788i) q^{74} +(4.08395 - 6.33774i) q^{75} +(7.38646 - 12.7937i) q^{76} +(5.89570 + 6.10851i) q^{77} +(2.58394 + 15.5515i) q^{78} +(15.9897 - 5.19538i) q^{79} +(17.8064 - 7.92794i) q^{80} +(8.77595 - 1.99567i) q^{81} +(-21.5416 + 4.57880i) q^{82} +(7.84565 + 2.54920i) q^{83} +(-13.6590 + 13.7560i) q^{84} +(1.37455 - 13.0779i) q^{85} +(-0.939742 - 2.89223i) q^{86} +(13.2528 - 2.14716i) q^{87} +(-16.8477 + 10.5212i) q^{88} +(2.06760 - 3.58118i) q^{89} +(-21.2244 - 9.27023i) q^{90} +(-0.927710 + 9.18241i) q^{91} +(1.20735 + 1.66177i) q^{92} +(-4.68290 - 12.0715i) q^{93} +(5.22654 - 4.70600i) q^{94} +(9.43946 + 4.20272i) q^{95} +(-3.89916 - 5.95791i) q^{96} +(-8.47770 - 7.63336i) q^{97} +(0.979173 - 0.565326i) q^{98} +(9.58288 + 2.67740i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 416 q - 3 q^{3} - 54 q^{4} - 15 q^{6} - 30 q^{7} - 9 q^{9}+O(q^{10}) $ 416 * q - 3 * q^3 - 54 * q^4 - 15 * q^6 - 30 * q^7 - 9 * q^9	$ 416 q - 3 q^{3} - 54 q^{4} - 15 q^{6} - 30 q^{7} - 9 q^{9} - 36 q^{12} - 20 q^{13} - 9 q^{15} + 14 q^{16} - 30 q^{19} - 28 q^{22} + 15 q^{24} - 84 q^{25} - 24 q^{27} - 30 q^{28} - 5 q^{30} - 27 q^{33} - 73 q^{36} - 18 q^{37} - 65 q^{39} - 120 q^{40} - 25 q^{42} + 36 q^{45} + 30 q^{46} - 41 q^{48} + 14 q^{49} + 60 q^{51} + 20 q^{52} + 18 q^{55} - 126 q^{58} - 30 q^{61} + 105 q^{63} - 56 q^{64} + 170 q^{66} - 33 q^{69} - 195 q^{72} + 77 q^{75} + 4 q^{78} - 13 q^{81} + 36 q^{82} - 60 q^{84} - 30 q^{85} + 38 q^{88} - 190 q^{90} - 56 q^{91} + 24 q^{93} - 90 q^{94} + 54 q^{97}+O(q^{100}) $ 416 * q - 3 * q^3 - 54 * q^4 - 15 * q^6 - 30 * q^7 - 9 * q^9 - 36 * q^12 - 20 * q^13 - 9 * q^15 + 14 * q^16 - 30 * q^19 - 28 * q^22 + 15 * q^24 - 84 * q^25 - 24 * q^27 - 30 * q^28 - 5 * q^30 - 27 * q^33 - 73 * q^36 - 18 * q^37 - 65 * q^39 - 120 * q^40 - 25 * q^42 + 36 * q^45 + 30 * q^46 - 41 * q^48 + 14 * q^49 + 60 * q^51 + 20 * q^52 + 18 * q^55 - 126 * q^58 - 30 * q^61 + 105 * q^63 - 56 * q^64 + 170 * q^66 - 33 * q^69 - 195 * q^72 + 77 * q^75 + 4 * q^78 - 13 * q^81 + 36 * q^82 - 60 * q^84 - 30 * q^85 + 38 * q^88 - 190 * q^90 - 56 * q^91 + 24 * q^93 - 90 * q^94 + 54 * q^97

Display 100 coefficients 10 coefficients

Character values

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

$n$	$67$	$79$	$287$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{9}{10}\right)$	$-1$

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 $

$2$	−0.524846	+	2.46921i	−0.371122	+	1.74599i	0.255630	+	0.966775i	$0.417717\pi$
$2$	−0.524846	+	2.46921i	−0.371122	+	1.74599i	−0.626752	+	0.779219i	$0.715616\pi$
$3$	0.0967708	+	1.72935i	0.0558707	+	0.998438i
$3$	0.0967708	+	1.72935i	0.0558707	+	0.998438i
$4$	−3.99443	−	1.77843i	−1.99722	−	0.889217i
$5$	0.945056	−	2.90858i	0.422642	−	1.30076i	−0.482592	−	0.875845i	$-0.660305\pi$
$5$	0.945056	−	2.90858i	0.422642	−	1.30076i	0.905234	−	0.424913i	$-0.139695\pi$
$6$	−4.32090	−	0.668693i	−1.76400	−	0.272993i
$7$	−2.33841	−	1.04113i	−0.883836	−	0.393509i	−0.0859371	−	0.996301i	$-0.527388\pi$
$7$	−2.33841	−	1.04113i	−0.883836	−	0.393509i	−0.797899	+	0.602792i	$0.794055\pi$
$8$	3.52021	−	4.84515i	1.24458	−	1.71302i
$9$	−2.98127	+	0.334700i	−0.993757	+	0.111567i
$10$	6.68589	+	3.86010i	2.11426	+	1.22067i
$11$	−3.07478	−	1.24327i	−0.927081	−	0.374860i
$11$	−3.07478	−	1.24327i	−0.927081	−	0.374860i
$12$	2.68898	−	7.07985i	0.776243	−	2.04378i
$13$	−1.12799	−	3.42456i	−0.312847	−	0.949803i
$13$	−1.12799	−	3.42456i	−0.312847	−	0.949803i
$14$	3.79806	−	5.22759i	1.01508	−	1.39713i
$15$	5.12140	+	1.35286i	1.32234	+	0.349308i
$16$	4.26464	+	4.73637i	1.06616	+	1.18409i
$17$	4.20585	−	0.893981i	1.02007	−	0.216822i	0.332624	−	0.943059i	$-0.392066\pi$
$17$	4.20585	−	0.893981i	1.02007	−	0.216822i	0.687444	+	0.726237i	$0.258733\pi$
$18$	0.738264	−	7.53704i	0.174011	−	1.77650i
$19$	−0.353164	+	3.36013i	−0.0810214	+	0.770867i	0.876285	+	0.481793i	$0.160014\pi$
$19$	−0.353164	+	3.36013i	−0.0810214	+	0.770867i	−0.957307	+	0.289074i	$0.906653\pi$
$20$	−8.94769	+	9.93741i	−2.00076	+	2.22207i
$21$	1.57418	−	4.14467i	0.343514	−	0.904441i
$22$	4.68368	−	6.93975i	0.998564	−	1.47956i
$23$	−0.406836	−	0.234887i	−0.0848312	−	0.0489773i	0.456984	−	0.889475i	$-0.348930\pi$
$23$	−0.406836	−	0.234887i	−0.0848312	−	0.0489773i	−0.541816	+	0.840497i	$0.682263\pi$
$24$	8.71960	+	5.61879i	1.77988	+	1.14693i
$25$	−3.52164	−	2.55862i	−0.704328	−	0.511725i
$26$	9.04798	−	0.987865i	1.77445	−	0.193736i
$27$	−0.867313	−	5.12326i	−0.166914	−	0.985971i
$28$	7.48904	+	8.31742i	1.41530	+	1.57184i
$29$	−0.810232	−	7.70884i	−0.150456	−	1.43150i	−0.765719	−	0.643175i	$-0.777617\pi$
$29$	−0.810232	−	7.70884i	−0.150456	−	1.43150i	0.615263	−	0.788322i	$-0.289050\pi$
$30$	−6.02844	+	11.9358i	−1.10064	+	2.17916i
$31$	−7.10964	+	2.31006i	−1.27693	+	0.414900i	−0.867498	−	0.497441i	$-0.834273\pi$
$31$	−7.10964	+	2.31006i	−1.27693	+	0.414900i	−0.409432	+	0.912341i	$0.634273\pi$
$32$	−3.56020	+	2.05548i	−0.629361	+	0.363362i
$33$	1.85250	−	5.43767i	0.322478	−	0.946577i
$34$			10.8543i			1.86150i
$35$	−5.23813	+	5.81754i	−0.885406	+	0.983343i
$36$	12.5037	+	3.96506i	2.08395	+	0.660843i
$37$	−9.22162	+	0.969231i	−1.51602	+	0.159341i	−0.825679	−	0.564140i	$-0.809208\pi$
$37$	−9.22162	+	0.969231i	−1.51602	+	0.159341i	−0.690345	+	0.723480i	$0.742541\pi$
$38$	−8.11150	−	2.63559i	−1.31586	−	0.427549i
$39$	5.81310	−	2.28208i	0.930841	−	0.365425i
$40$	−10.7657	−	14.8178i	−1.70221	−	2.34289i
$41$	3.54840	+	7.96984i	0.554167	+	1.24468i	0.945857	+	0.324583i	$0.105224\pi$
$41$	3.54840	+	7.96984i	0.554167	+	1.24468i	−0.391690	+	0.920097i	$0.628109\pi$
$42$	9.40784	+	6.06229i	1.45166	+	0.935431i
$43$	−1.04329	+	0.602342i	−0.159100	+	0.0918563i	−0.577436	−	0.816436i	$-0.695947\pi$
$43$	−1.04329	+	0.602342i	−0.159100	+	0.0918563i	0.418336	+	0.908292i	$0.362613\pi$
$44$	10.0709	+	10.4345i	1.51825	+	1.57305i
$45$	−1.84396	+	8.98759i	−0.274882	+	1.33979i
$46$	0.793511	−	0.881283i	0.116997	−	0.129938i
$47$	−2.25396	−	1.63759i	−0.328773	−	0.238868i	0.411137	−	0.911574i	$-0.365132\pi$
$47$	−2.25396	−	1.63759i	−0.328773	−	0.238868i	−0.739910	+	0.672706i	$0.765132\pi$
$48$	−7.77812	+	7.83338i	−1.12267	+	1.13065i
$49$	−0.299700	−	0.332850i	−0.0428143	−	0.0475501i
$50$	8.16609	−	7.35278i	1.15486	−	1.03984i
$51$	1.95301	+	7.18686i	0.273476	+	1.00636i
$52$	−1.58470	+	15.6852i	−0.219758	+	2.17515i
$53$	2.86780	−	0.931804i	0.393922	−	0.127993i	−0.105357	−	0.994435i	$-0.533598\pi$
$53$	2.86780	−	0.931804i	0.393922	−	0.127993i	0.499279	+	0.866441i	$0.333598\pi$
$54$	13.1056	+	0.547348i	1.78345	+	0.0744846i
$55$	−6.52200	+	7.76830i	−0.879426	+	1.04748i
$56$	−13.2761	+	7.66497i	−1.77410	+	1.02427i
$57$	−5.84500	−	0.285580i	−0.774190	−	0.0378260i
$58$	19.4600	+	2.04533i	2.55522	+	0.268565i
$59$	−9.69967	−	4.31857i	−1.26279	−	0.562230i	−0.337440	−	0.941347i	$-0.609561\pi$
$59$	−9.69967	−	4.31857i	−1.26279	−	0.562230i	−0.925349	+	0.379117i	$0.876228\pi$
$60$	−18.0511	−	14.5120i	−2.33039	−	1.87349i
$61$	−0.602808	−	2.83599i	−0.0771816	−	0.363111i	0.922560	−	0.385854i	$-0.126093\pi$
$61$	−0.602808	−	2.83599i	−0.0771816	−	0.363111i	−0.999741	+	0.0227433i	$0.992760\pi$
$62$	−1.97256	−	18.7676i	−0.250515	−	2.38349i
$63$	7.31990	+	2.32122i	0.922220	+	0.292446i
$64$	0.732126	+	2.25325i	0.0915158	+	0.281657i
$65$	−11.0266	+	0.0444401i	−1.36769	+	0.00551212i
$66$	12.4545	+	7.42814i	1.53304	+	0.914340i
$67$	−6.23687	−	3.60086i	−0.761955	−	0.439915i	0.0680422	−	0.997682i	$-0.478325\pi$
$67$	−6.23687	−	3.60086i	−0.761955	−	0.439915i	−0.829997	+	0.557768i	$0.811658\pi$
$68$	−18.3899	−	3.90889i	−2.23010	−	0.474022i
$69$	0.366831	−	0.726291i	0.0441612	−	0.0874351i
$70$	−11.6155	−	15.9873i	−1.38832	−	1.91085i
$71$	5.39956	−	1.14771i	0.640810	−	0.136208i	0.123964	−	0.992287i	$-0.460439\pi$
$71$	5.39956	−	1.14771i	0.640810	−	0.136208i	0.516846	+	0.856078i	$0.327106\pi$
$72$	−8.87303	+	15.6229i	−1.04570	+	1.84118i
$73$	1.98175	−	1.43983i	0.231946	−	0.168519i	−0.465741	−	0.884921i	$-0.654212\pi$
$73$	1.98175	−	1.43983i	0.231946	−	0.168519i	0.697688	+	0.716402i	$0.254212\pi$
$74$	2.44670	−	23.2788i	0.284423	−	2.70610i
$75$	4.08395	−	6.33774i	0.471574	−	0.731819i
$76$	7.38646	−	12.7937i	0.847286	−	1.46754i
$77$	5.89570	+	6.10851i	0.671877	+	0.696130i
$78$	2.58394	+	15.5515i	0.292574	+	1.76086i
$79$	15.9897	−	5.19538i	1.79899	−	0.584526i	0.799125	−	0.601165i	$-0.205297\pi$
$79$	15.9897	−	5.19538i	1.79899	−	0.584526i	0.999862	+	0.0166394i	$0.00529674\pi$
$80$	17.8064	−	7.92794i	1.99082	−	0.886370i
$81$	8.77595	−	1.99567i	0.975106	−	0.221741i
$82$	−21.5416	+	4.57880i	−2.37887	+	0.505644i
$83$	7.84565	+	2.54920i	0.861171	+	0.279812i	0.706118	−	0.708094i	$-0.250445\pi$
$83$	7.84565	+	2.54920i	0.861171	+	0.279812i	0.155054	+	0.987906i	$0.450445\pi$
$84$	−13.6590	+	13.7560i	−1.49032	+	1.50090i
$85$	1.37455	−	13.0779i	0.149090	−	1.41850i
$86$	−0.939742	−	2.89223i	−0.101335	−	0.311877i
$87$	13.2528	−	2.14716i	1.42085	−	0.230200i
$88$	−16.8477	+	10.5212i	−1.79597	+	1.12157i
$89$	2.06760	−	3.58118i	0.219165	−	0.379605i	−0.735388	−	0.677646i	$-0.763000\pi$
$89$	2.06760	−	3.58118i	0.219165	−	0.379605i	0.954553	+	0.298042i	$0.0963334\pi$
$90$	−21.2244	−	9.27023i	−2.23725	−	0.977168i
$91$	−0.927710	+	9.18241i	−0.0972505	+	0.962579i
$92$	1.20735	+	1.66177i	0.125875	+	0.173252i
$93$	−4.68290	−	12.0715i	−0.485594	−	1.25175i
$94$	5.22654	−	4.70600i	0.539076	−	0.485387i
$95$	9.43946	+	4.20272i	0.968468	+	0.431190i
$96$	−3.89916	−	5.95791i	−0.397957	−	0.608076i
$97$	−8.47770	−	7.63336i	−0.860780	−	0.775050i	0.115101	−	0.993354i	$-0.463281\pi$
$97$	−8.47770	−	7.63336i	−0.860780	−	0.775050i	−0.975881	+	0.218304i	$0.929948\pi$
$98$	0.979173	−	0.565326i	0.0989114	−	0.0571065i
$99$	9.58288	+	2.67740i	0.963115	+	0.269088i
$100$	9.51661	+	16.4833i	0.951661	+	1.64833i
$101$	9.73728	+	2.06972i	0.968895	+	0.205945i	0.665069	−	0.746782i	$-0.268402\pi$
$101$	9.73728	+	2.06972i	0.968895	+	0.205945i	0.303827	+	0.952727i	$0.401736\pi$
$102$	−18.7709	+	1.05038i	−1.85859	+	0.104003i
$103$	−10.3148	+	7.49411i	−1.01634	+	0.738416i	−0.965530	−	0.260292i	$-0.916181\pi$
$103$	−10.3148	+	7.49411i	−1.01634	+	0.738416i	−0.0508127	+	0.998708i	$0.516181\pi$
$104$	−20.5633	−	6.58992i	−2.01640	−	0.646194i
$105$	−10.5674	−	8.49557i	−1.03128	−	0.829083i
$106$	0.795664	+	7.57024i	0.0772817	+	0.735286i
$107$	−14.0369	+	6.24963i	−1.35700	+	0.604174i	−0.950855	−	0.309636i	$-0.899793\pi$
$107$	−14.0369	+	6.24963i	−1.35700	+	0.604174i	−0.406142	+	0.913810i	$0.633126\pi$
$108$	−5.64696	+	22.0070i	−0.543379	+	2.11762i
$109$	−3.17879			−0.304473			−0.152236	−	0.988344i	$-0.548647\pi$
$109$	−3.17879			−0.304473			−0.152236	+	0.988344i	$0.548647\pi$
$110$	−15.7585	−	20.1813i	−1.50251	−	1.92421i
$111$	−2.56852	−	15.8536i	−0.243793	−	1.50475i
$112$	−5.04132	−	15.5156i	−0.476360	−	1.46609i
$113$	7.15625	+	0.752153i	0.673204	+	0.0707566i	0.434961	−	0.900449i	$-0.356762\pi$
$113$	7.15625	+	0.752153i	0.673204	+	0.0707566i	0.238242	+	0.971206i	$0.423429\pi$
$114$	3.77288	−	14.2826i	0.353363	−	1.33769i
$115$	−1.06767	+	0.961336i	−0.0995609	+	0.0896450i
$116$	−10.4733	+	32.2334i	−0.972418	+	2.99279i
$117$	4.50904	+	9.83202i	0.416861	+	0.908970i
$118$	15.7543	−	21.6839i	1.45030	−	1.99617i
$119$	−10.7658	−	2.28833i	−0.986895	−	0.209771i
$120$	24.5832	−	20.0516i	2.24413	−	1.83045i
$121$	7.90856	+	7.64557i	0.718960	+	0.695052i
$122$	7.31902			0.662633
$123$	−13.4392	+	6.90766i	−1.21177	+	0.622843i
$124$	32.5073	+	3.41665i	2.91924	+	0.306824i
$125$	1.60083	−	1.16307i	0.143182	−	0.104028i
$126$	−9.57338	+	16.8561i	−0.852865	+	1.50166i
$127$	4.12232	−	3.71175i	0.365797	−	0.329365i	−0.465650	−	0.884969i	$-0.654180\pi$
$127$	4.12232	−	3.71175i	0.365797	−	0.329365i	0.831447	+	0.555604i	$0.187513\pi$
$128$	−14.1249	+	1.48459i	−1.24848	+	0.131220i
$129$	−1.14262	−	1.74591i	−0.100602	−	0.153719i
$130$	5.67756	−	27.2504i	0.497955	−	2.39002i
$131$	1.25578			0.109718			0.0548590	−	0.998494i	$-0.482529\pi$
$131$	1.25578			0.109718			0.0548590	+	0.998494i	$0.482529\pi$
$132$	−17.0702	+	18.4259i	−1.48577	+	1.60376i
$133$	4.32417	−	7.48968i	0.374953	−	0.649437i
$134$	12.1647	−	13.5102i	1.05087	−	1.16711i
$135$	−15.7211	−	2.31911i	−1.35306	−	0.199598i
$136$	10.4740	−	23.5250i	0.898139	−	2.01725i
$137$	1.12636	−	0.239415i	0.0962314	−	0.0204546i	−0.159544	−	0.987191i	$-0.551002\pi$
$137$	1.12636	−	0.239415i	0.0962314	−	0.0204546i	0.255776	+	0.966736i	$0.417669\pi$
$138$	1.60083	+	1.28697i	0.136272	+	0.109554i
$139$	−2.47922	+	5.56842i	−0.210285	+	0.472307i	−0.987637	−	0.156758i	$-0.949896\pi$
$139$	−2.47922	+	5.56842i	−0.210285	+	0.472307i	0.777352	+	0.629066i	$0.216562\pi$
$140$	31.2695	−	13.9221i	2.64275	−	1.17663i
$141$	2.61385	−	4.05634i	0.220126	−	0.341605i
$142$			13.9350i			1.16940i
$143$	−0.789346	+	11.9322i	−0.0660084	+	0.997819i
$144$	−14.2993	−	12.6930i	−1.19161	−	1.05775i
$145$	−23.1875	−	4.92866i	−1.92562	−	0.409303i
$146$	2.51512	+	5.64904i	0.208152	+	0.467518i
$147$	0.546611	−	0.550495i	0.0450837	−	0.0454040i
$148$	38.5588	+	12.5285i	3.16952	+	1.02984i
$149$	−0.375452	−	1.76636i	−0.0307582	−	0.144706i	0.960089	−	0.279695i	$-0.0902334\pi$
$149$	−0.375452	−	1.76636i	−0.0307582	−	0.144706i	−0.990847	+	0.134989i	$0.956900\pi$
$150$	13.5057	+	13.4105i	1.10274	+	1.09496i
$151$	−3.87397	−	2.81460i	−0.315259	−	0.229049i	0.418891	−	0.908037i	$-0.362419\pi$
$151$	−3.87397	−	2.81460i	−0.315259	−	0.229049i	−0.734150	+	0.678987i	$0.762419\pi$
$152$	15.0371	+	13.5395i	1.21967	+	1.09820i
$153$	−12.2396	+	4.07290i	−0.989510	+	0.329275i
$154$	−18.1775	+	11.3517i	−1.46479	+	0.914743i
$155$			22.8621i			1.83633i
$156$	−27.2785	−	1.22262i	−2.18403	−	0.0978877i
$157$	−13.6726	−	9.93373i	−1.09119	−	0.792798i	−0.111592	−	0.993754i	$-0.535595\pi$
$157$	−13.6726	−	9.93373i	−1.09119	−	0.792798i	−0.979600	+	0.200956i	$0.935595\pi$
$158$	4.43632	+	42.2088i	0.352935	+	3.35795i
$159$	1.88893	+	4.86924i	0.149802	+	0.386156i
$160$	2.61396	+	12.2977i	0.206651	+	0.972218i
$161$	0.706803	+	0.972830i	0.0557038	+	0.0766698i
$162$	0.321686	+	22.7171i	0.0252740	+	1.78482i
$163$	9.34075	+	8.41045i	0.731624	+	0.658758i	0.948260	−	0.317495i	$-0.102842\pi$
$163$	9.34075	+	8.41045i	0.731624	+	0.658758i	−0.216636	+	0.976253i	$0.569508\pi$
$164$		−	38.1456i		−	2.97867i
$165$	−14.0652	−	10.5270i	−1.09497	−	0.819529i
$166$	−10.4123	+	18.0346i	−0.808149	+	1.39976i
$167$	0.980319	−	4.61204i	0.0758594	−	0.356890i	−0.923803	−	0.382868i	$-0.874936\pi$
$167$	0.980319	−	4.61204i	0.0758594	−	0.356890i	0.999663	+	0.0259774i	$0.00826980\pi$
$168$	−14.5401	−	22.2172i	−1.12179	−	1.71410i
$169$	−10.4553	+	7.72573i	−0.804253	+	0.594287i
$170$	31.5707	+	10.2579i	2.42136	+	0.786748i
$171$	−0.0717597	−	10.1357i	−0.00548760	−	0.775094i
$172$	5.23856	−	0.550595i	0.399437	−	0.0419825i
$173$	−1.85947	+	17.6917i	−0.141373	+	1.34508i	0.661957	+	0.749542i	$0.269726\pi$
$173$	−1.85947	+	17.6917i	−0.141373	+	1.34508i	−0.803330	+	0.595534i	$0.796941\pi$
$174$	−1.65392	+	33.8510i	−0.125383	+	2.56623i
$175$	5.57119	+	9.64958i	0.421142	+	0.729440i
$176$	−7.22426	−	19.8654i	−0.544549	−	1.49741i
$177$	6.52965	−	17.1920i	0.490799	−	1.29223i
$178$	7.75751	+	6.98489i	0.581450	+	0.523540i
$179$	4.86288	+	10.9222i	0.363468	+	0.816363i	0.999018	+	0.0443034i	$0.0141068\pi$
$179$	4.86288	+	10.9222i	0.363468	+	0.816363i	−0.635550	+	0.772060i	$0.719226\pi$
$180$	23.3494	−	32.6209i	1.74036	−	2.43142i
$181$	6.70641	−	20.6402i	0.498483	−	1.53417i	−0.312974	−	0.949762i	$-0.601325\pi$
$181$	6.70641	−	20.6402i	0.498483	−	1.53417i	0.811457	−	0.584412i	$-0.198675\pi$
$182$	−22.1864	−	7.11006i	−1.64456	−	0.527033i
$183$	4.84607	−	1.31690i	0.358232	−	0.0973483i
$184$	−2.57021	+	1.14433i	−0.189479	+	0.0843613i
$185$	−5.89586	+	27.7378i	−0.433472	+	2.03933i
$186$	32.2648	−	5.22739i	2.36577	−	0.383291i
$187$	−14.0435	−	2.48021i	−1.02696	−	0.181371i
$188$	6.09091	+	10.5498i	0.444225	+	0.769421i
$189$	−3.30583	+	12.8833i	−0.240464	+	0.937119i
$190$	−15.3317	+	21.1022i	−1.11227	+	1.53092i
$191$	0.0213741	−	0.0480069i	0.00154657	−	0.00347366i	−0.912771	−	0.408473i	$-0.866061\pi$
$191$	0.0213741	−	0.0480069i	0.00154657	−	0.00347366i	0.914317	+	0.404999i	$0.132728\pi$
$192$	−3.82580	+	1.48415i	−0.276104	+	0.107109i
$193$	10.3420	+	11.4859i	0.744432	+	0.826776i	0.989772	−	0.142662i	$-0.0455661\pi$
$193$	10.3420	+	11.4859i	0.744432	+	0.826776i	−0.245339	+	0.969437i	$0.578899\pi$
$194$	23.2978	−	16.9269i	1.67269	−	1.21528i
$195$	−1.14391	−	19.0646i	−0.0819171	−	1.36524i
$196$	0.605177	+	1.86254i	0.0432270	+	0.133039i
$197$	−19.1352	−	11.0477i	−1.36333	−	0.787117i	−0.373262	−	0.927726i	$-0.621761\pi$
$197$	−19.1352	−	11.0477i	−1.36333	−	0.787117i	−0.990065	+	0.140609i	$0.955094\pi$
$198$	−11.6406	+	22.2569i	−0.827260	+	1.58173i
$199$	3.14037	+	5.43928i	0.222615	+	0.385580i	0.955601	−	0.294663i	$-0.0952074\pi$
$199$	3.14037	+	5.43928i	0.222615	+	0.385580i	−0.732986	+	0.680243i	$0.761874\pi$
$200$	−24.7938	+	8.05601i	−1.75319	+	0.569646i
$201$	5.62358	−	11.1342i	0.396657	−	0.785343i
$202$	−10.2211	+	22.9571i	−0.719157	+	1.61525i
$203$	−6.13123	+	18.8700i	−0.430328	+	1.32441i
$204$	4.98021	−	32.1807i	0.348685	−	2.25310i
$205$	26.5344	−	2.78888i	1.85324	−	0.194784i
$206$	−13.0908	−	29.4025i	−0.912082	−	2.04857i
$207$	1.29151	+	0.564094i	0.0897659	+	0.0392072i
$208$	11.4095	−	19.9471i	0.791108	−	1.38308i
$209$	5.26345	−	9.89259i	0.364081	−	0.684285i
$210$	26.5236	−	21.6343i	1.83030	−	1.49291i
$211$	3.05605	−	14.3776i	0.210387	−	0.989793i	−0.738519	−	0.674233i	$-0.764474\pi$
$211$	3.05605	−	14.3776i	0.210387	−	0.989793i	0.948906	−	0.315560i	$-0.102192\pi$
$212$	−13.1124	−	1.37817i	−0.900561	−	0.0946528i
$213$	2.50731	+	9.22664i	0.171798	+	0.632199i
$214$	−8.06442	−	37.9401i	−0.551272	−	2.59353i
$215$	0.765997	+	3.60373i	0.0522406	+	0.245773i
$216$	−27.8761	−	13.8327i	−1.89673	−	0.941195i
$217$	19.0303	+	2.00017i	1.29186	+	0.135780i
$218$	1.66838	−	7.84909i	0.112997	−	0.531607i
$219$	2.68173	+	3.28780i	0.181215	+	0.222169i
$220$	39.8671	−	19.4310i	2.68784	−	1.31004i
$221$	−7.80565	−	13.3948i	−0.525065	−	0.901033i
$222$	40.4938	+	1.97848i	2.71777	+	0.132787i
$223$	−2.19529	−	4.93071i	−0.147008	−	0.330185i	0.825000	−	0.565132i	$-0.191175\pi$
$223$	−2.19529	−	4.93071i	−0.147008	−	0.330185i	−0.972008	+	0.234948i	$0.924508\pi$
$224$	10.4652	−	1.09994i	0.699238	−	0.0734928i
$225$	11.3553	+	6.44925i	0.757023	+	0.429950i
$226$	−5.61315	+	17.2755i	−0.373381	+	1.14915i
$227$	−1.34421	+	3.01914i	−0.0892182	+	0.200387i	−0.952644	−	0.304089i	$-0.901648\pi$
$227$	−1.34421	+	3.01914i	−0.0892182	+	0.200387i	0.863425	+	0.504477i	$0.168315\pi$
$228$	22.8396	+	11.5357i	1.51259	+	0.763970i
$229$	3.11691	−	1.01275i	0.205971	−	0.0669241i	−0.204214	−	0.978926i	$-0.565464\pi$
$229$	3.11691	−	1.01275i	0.205971	−	0.0669241i	0.410185	+	0.912002i	$0.365464\pi$
$230$	−1.81337	−	3.14086i	−0.119570	−	0.207102i
$231$	−9.99320	+	10.7868i	−0.657504	+	0.709721i
$232$	−40.2027	−	23.2111i	−2.63944	−	1.52388i
$233$	−4.56946	−	14.0633i	−0.299355	−	0.921321i	−0.981724	−	0.190312i	$-0.939050\pi$
$233$	−4.56946	−	14.0633i	−0.299355	−	0.921321i	0.682368	−	0.731008i	$-0.260950\pi$
$234$	−26.6438	+	5.97346i	−1.74176	+	0.390497i
$235$	−6.89319	+	5.00820i	−0.449662	+	0.326699i
$236$	31.0643	+	34.5005i	2.02212	+	2.24579i
$237$	10.5319	+	27.1490i	0.684124	+	1.76352i
$238$	11.3007	−	25.3819i	0.732517	−	1.64526i
$239$	11.5927	−	15.9559i	0.749867	−	1.03210i	−0.248123	−	0.968728i	$-0.579814\pi$
$239$	11.5927	−	15.9559i	0.749867	−	1.03210i	0.997990	−	0.0633744i	$-0.0201862\pi$
$240$	15.4333	+	30.0263i	0.996214	+	1.93819i
$241$	7.10932	+	12.3137i	0.457951	+	0.793195i	0.998853	−	0.0478910i	$-0.0152500\pi$
$241$	7.10932	+	12.3137i	0.457951	+	0.793195i	−0.540901	+	0.841086i	$0.681917\pi$
$242$	−23.0293	+	15.5151i	−1.48038	+	0.997350i
$243$	4.30045	+	14.9835i	0.275874	+	0.961194i
$244$	−2.63575	+	12.4002i	−0.168736	+	0.793842i
$245$	−1.25136	+	0.557140i	−0.0799462	+	0.0355944i
$246$	−10.0029	−	36.8097i	−0.637763	−	2.34690i
$247$	11.9054	−	2.58075i	0.757519	−	0.164209i
$248$	−13.8348	+	42.5792i	−0.878512	+	2.70378i
$249$	−3.64923	+	13.8145i	−0.231260	+	0.875460i
$250$	2.03167	+	4.56321i	0.128494	+	0.288603i
$251$	−0.481309	−	0.433373i	−0.0303800	−	0.0273543i	0.653801	−	0.756667i	$-0.273173\pi$
$251$	−0.481309	−	0.433373i	−0.0303800	−	0.0273543i	−0.684181	+	0.729312i	$0.739840\pi$
$252$	−25.1107	−	22.2899i	−1.58183	−	1.40413i
$253$	0.958904	+	1.22803i	0.0602858	+	0.0772058i
$254$	7.00150	+	12.1270i	0.439313	+	0.760913i
$255$	22.7493	+	1.11150i	1.42462	+	0.0696050i
$256$	3.25235	−	30.9440i	0.203272	−	1.93400i
$257$	−9.80575	+	1.03063i	−0.611666	+	0.0642887i	−0.405296	−	0.914185i	$-0.632832\pi$
$257$	−9.80575	+	1.03063i	−0.611666	+	0.0642887i	−0.206370	+	0.978474i	$0.566165\pi$
$258$	4.91072	−	1.90502i	0.305728	−	0.118601i
$259$	22.5730	+	7.33442i	1.40262	+	0.455738i
$260$	44.1242	+	19.4327i	2.73647	+	1.20516i
$261$	4.99568	+	22.7110i	0.309225	+	1.40577i
$262$	−0.659092	+	3.10078i	−0.0407188	+	0.191567i
$263$	6.57266	−	11.3842i	0.405288	−	0.701979i	−0.589067	−	0.808084i	$-0.700505\pi$
$263$	6.57266	−	11.3842i	0.405288	−	0.701979i	0.994355	+	0.106105i	$0.0338380\pi$
$264$	−19.8252	−	28.1174i	−1.22016	−	1.73050i
$265$		−	9.22183i		−	0.566493i
$266$	16.2240	+	14.6082i	0.994760	+	0.895686i
$267$	6.39318	+	3.22903i	0.391256	+	0.197614i
$268$	18.5089	+	25.4752i	1.13061	+	1.55615i
$269$	1.38548	+	6.51819i	0.0844744	+	0.397421i	0.999988	−	0.00486586i	$-0.00154886\pi$
$269$	1.38548	+	6.51819i	0.0844744	+	0.397421i	−0.915514	+	0.402287i	$0.868216\pi$
$270$	13.9775	−	37.6014i	0.850645	−	2.28835i
$271$	−0.764427	−	7.27304i	−0.0464357	−	0.441806i	−0.992896	−	0.118986i	$-0.962036\pi$
$271$	−0.764427	−	7.27304i	−0.0464357	−	0.441806i	0.946460	−	0.322820i	$-0.104631\pi$
$272$	22.1707	+	16.1079i	1.34429	+	0.976687i
$273$	−15.9693	−	0.715741i	−0.966508	−	0.0433186i
$274$			2.90687i			0.175611i
$275$	7.64722	+	12.2456i	0.461145	+	0.738435i
$276$	−2.75694	+	2.24873i	−0.165948	+	0.135358i
$277$	13.8398	+	12.4614i	0.831553	+	0.748734i	0.970380	−	0.241583i	$-0.0776666\pi$
$277$	13.8398	+	12.4614i	0.831553	+	0.748734i	−0.138827	+	0.990317i	$0.544333\pi$
$278$	−12.4484	−	9.04427i	−0.746604	−	0.542440i
$279$	20.4226	−	9.26652i	1.22267	−	0.554772i
$280$	9.74753	+	45.8585i	0.582526	+	2.74057i
$281$	−22.4919	−	7.30806i	−1.34175	−	0.435962i	−0.451843	−	0.892098i	$-0.649233\pi$
$281$	−22.4919	−	7.30806i	−1.34175	−	0.435962i	−0.889910	+	0.456135i	$0.849233\pi$
$282$	8.64407	+	8.58309i	0.514747	+	0.511115i
$283$	−11.1570	−	25.0589i	−0.663213	−	1.48960i	−0.860604	−	0.509275i	$-0.829914\pi$
$283$	−11.1570	−	25.0589i	−0.663213	−	1.48960i	0.197391	−	0.980325i	$-0.436753\pi$
$284$	−23.6093	−	5.01831i	−1.40095	−	0.297782i
$285$	−6.35449	+	16.7308i	−0.376407	+	0.991047i
$286$	−29.0487	−	8.21162i	−1.71769	−	0.485563i
$287$		−	22.3311i		−	1.31816i
$288$	9.92596	−	7.31955i	0.584893	−	0.431309i
$289$	1.35971	−	0.605383i	0.0799831	−	0.0356108i
$290$	24.3398	−	54.6680i	1.42928	−	3.21022i
$291$	12.3803	−	15.3996i	0.725747	−	0.902738i
$292$	−10.4766	+	2.22687i	−0.613097	+	0.130318i
$293$	11.7627	−	26.4195i	0.687184	−	1.54344i	−0.145297	−	0.989388i	$-0.546414\pi$
$293$	11.7627	−	26.4195i	0.687184	−	1.54344i	0.832481	−	0.554053i	$-0.186920\pi$
$294$	1.07240	+	1.63862i	0.0625436	+	0.0955663i
$295$	−21.7276	+	24.1310i	−1.26503	+	1.40496i
$296$	−27.7660	+	48.0921i	−1.61386	+	2.79529i
$297$	−3.70280	+	16.8312i	−0.214858	+	0.976645i
$298$	4.55857			0.264071
$299$	−0.345480	+	1.65819i	−0.0199796	+	0.0958954i
$300$	−27.5843	+	18.0526i	−1.59258	+	1.04227i
$301$	3.06675	−	0.322328i	0.176764	−	0.0185787i
$302$	8.98308	−	8.08840i	0.516918	−	0.465435i
$303$	−2.63698	+	17.0394i	−0.151491	+	0.978888i
$304$	−17.4209	+	12.6570i	−0.999159	+	0.725931i
$305$	−8.81839	−	0.926851i	−0.504940	−	0.0530713i
$306$	−3.63295	−	32.3597i	−0.207682	−	1.84988i
$307$	−7.45929			−0.425724			−0.212862	−	0.977082i	$-0.568279\pi$
$307$	−7.45929			−0.425724			−0.212862	+	0.977082i	$0.568279\pi$
$308$	−12.6863	−	34.8851i	−0.722872	−	1.98777i
$309$	−13.9581	−	17.1126i	−0.794047	−	0.973499i
$310$	−56.4513	−	11.9991i	−3.20622	−	0.681503i
$311$	11.5938	−	15.9575i	0.657425	−	0.904867i	−0.341968	−	0.939712i	$-0.611094\pi$
$311$	11.5938	−	15.9575i	0.657425	−	0.904867i	0.999393	+	0.0348443i	$0.0110935\pi$
$312$	9.40631	−	36.1988i	0.532528	−	2.04935i
$313$	−7.03184	+	21.6418i	−0.397463	+	1.22327i	0.529563	+	0.848270i	$0.322356\pi$
$313$	−7.03184	+	21.6418i	−0.397463	+	1.22327i	−0.927027	+	0.374996i	$0.877644\pi$
$314$	31.7044	−	28.5468i	1.78919	−	1.61099i
$315$	13.6692	−	19.0969i	0.770170	−	1.07599i
$316$	−73.1095	−	7.68412i	−4.11273	−	0.432266i
$317$	4.02956	+	12.4017i	0.226322	+	0.696549i	0.998155	+	0.0607226i	$0.0193405\pi$
$317$	4.02956	+	12.4017i	0.226322	+	0.696549i	−0.771832	+	0.635826i	$0.780659\pi$
$318$	−13.0146	+	2.10856i	−0.729820	+	0.118242i
$319$	−7.09289	+	24.7103i	−0.397126	+	1.38351i
$320$	7.24568			0.405046
$321$	−12.1661	−	23.6699i	−0.679047	−	1.32112i
$322$	−2.77308	+	1.23466i	−0.154538	+	0.0688047i
$323$	1.51854	+	14.4479i	0.0844938	+	0.803905i
$324$	−38.6041	−	7.63591i	−2.14467	−	0.424217i
$325$	−4.78980	+	14.9462i	−0.265690	+	0.829065i
$326$	−25.6696	+	18.6501i	−1.42171	+	1.03293i
$327$	−0.307614	−	5.49722i	−0.0170111	−	0.303997i
$328$	51.1062	+	10.8630i	2.82187	+	0.599807i
$329$	3.56573	+	6.17602i	0.196585	+	0.340495i
$330$	33.3755	−	29.2048i	1.83726	−	1.60767i
$331$	13.6116	−	7.85866i	0.748161	−	0.431951i	−0.0768680	−	0.997041i	$-0.524492\pi$
$331$	13.6116	−	7.85866i	0.748161	−	0.431951i	0.825029	+	0.565090i	$0.191159\pi$
$332$	−26.8053	−	24.1356i	−1.47113	−	1.32461i
$333$	27.1677	−	5.97602i	1.48878	−	0.327484i
$334$	10.8736	+	4.84122i	0.594975	+	0.264900i
$335$	−16.3676	+	14.7374i	−0.894257	+	0.805193i
$336$	26.3440	−	10.2196i	1.43718	−	0.557527i
$337$	−13.4268	−	18.4804i	−0.731406	−	1.00669i	−0.999067	−	0.0431810i	$-0.986251\pi$
$337$	−13.4268	−	18.4804i	−0.731406	−	1.00669i	0.267661	−	0.963513i	$-0.413749\pi$
$338$	−13.5890	−	29.8711i	−0.739145	−	1.62477i
$339$	−0.608215	+	12.4484i	−0.0330337	+	0.676105i
$340$	−28.7488	+	49.7944i	−1.55912	+	2.70048i
$341$	24.7326	+	1.73627i	1.33935	+	0.0940244i
$342$	25.0647	+	5.14248i	1.35535	+	0.278073i
$343$	5.89123	+	18.1314i	0.318097	+	0.979001i
$344$	−0.754150	+	7.17526i	−0.0406610	+	0.386864i
$345$	−1.76580	−	1.75334i	−0.0950675	−	0.0943968i
$346$	−42.7085	−	13.8768i	−2.29603	−	0.746024i
$347$	−22.8596	+	4.85896i	−1.22717	+	0.260843i	−0.775503	−	0.631344i	$-0.782504\pi$
$347$	−22.8596	+	4.85896i	−1.22717	+	0.260843i	−0.451666	+	0.892187i	$0.649170\pi$
$348$	−56.7562	−	14.9926i	−3.04245	−	0.803690i
$349$	−11.0886	+	4.93697i	−0.593560	+	0.264270i	−0.681455	−	0.731860i	$-0.738653\pi$
$349$	−11.0886	+	4.93697i	−0.593560	+	0.264270i	0.0878954	+	0.996130i	$0.471986\pi$
$350$	−26.7508	+	8.69188i	−1.42989	+	0.464600i
$351$	−16.5666	+	8.74914i	−0.884260	+	0.466994i
$352$	13.5024	−	1.89387i	0.719678	−	0.100943i
$353$	−9.26417	+	16.0460i	−0.493082	+	0.854043i	−0.999968	−	0.00796989i	$-0.997463\pi$
$353$	−9.26417	+	16.0460i	−0.493082	+	0.854043i	0.506886	+	0.862013i	$0.330796\pi$
$354$	39.0235	+	25.1462i	2.07408	+	1.33651i
$355$	1.76467	−	16.7897i	0.0936591	−	0.891106i
$356$	−14.6278	+	10.6277i	−0.775270	+	0.563267i
$357$	2.91550	−	18.8391i	0.154305	−	0.997073i
$358$	−29.5214	+	6.27497i	−1.56026	+	0.331643i
$359$	7.39900	+	10.1838i	0.390504	+	0.537483i	0.958329	−	0.285666i	$-0.0922150\pi$
$359$	7.39900	+	10.1838i	0.390504	+	0.537483i	−0.567825	+	0.823149i	$0.692215\pi$
$360$	37.0551	+	40.5725i	1.95298	+	2.13836i
$361$	7.41905	+	1.57697i	0.390476	+	0.0829983i
$362$	47.4451	+	27.3924i	2.49366	+	1.43971i
$363$	−12.4565	+	14.4165i	−0.653797	+	0.756670i
$364$	20.0360	−	35.0286i	1.05017	−	1.83600i
$365$	−2.31499	−	7.12481i	−0.121172	−	0.372929i
$366$	0.708268	+	12.6571i	0.0370218	+	0.661598i
$367$	−0.0697307	−	0.663443i	−0.00363991	−	0.0346315i	0.992551	−	0.121828i	$-0.0388757\pi$
$367$	−0.0697307	−	0.663443i	−0.00363991	−	0.0346315i	−0.996191	+	0.0871969i	$0.972209\pi$
$368$	−0.622500	−	2.92863i	−0.0324501	−	0.152666i
$369$	−13.2463	−	22.5726i	−0.689573	−	1.17508i
$370$	−65.3960	−	29.1162i	−3.39978	−	1.51368i
$371$	−7.67621	−	0.806802i	−0.398529	−	0.0418871i
$372$	−2.76282	+	56.5469i	−0.143245	+	2.93182i
$373$	−1.46305	+	0.844692i	−0.0757539	+	0.0437365i	−0.537398	−	0.843328i	$-0.680593\pi$
$373$	−1.46305	+	0.844692i	−0.0757539	+	0.0437365i	0.461645	+	0.887065i	$0.347260\pi$
$374$	13.4949	−	33.3747i	0.697803	−	1.72576i
$375$	2.16626	+	2.65583i	0.111865	+	0.137147i
$376$	−15.8688	+	5.15608i	−0.818370	+	0.265905i
$377$	−25.4855	+	11.4702i	−1.31257	+	0.590744i
$378$	−30.0764	−	14.9245i	−1.54696	−	0.767634i
$379$	11.7490	−	10.5789i	0.603507	−	0.543400i	−0.309732	−	0.950824i	$-0.600239\pi$
$379$	11.7490	−	10.5789i	0.603507	−	0.543400i	0.913239	+	0.407424i	$0.133573\pi$
$380$	−30.2310	−	33.5749i	−1.55082	−	1.72236i
$381$	6.81782	+	6.76972i	0.349288	+	0.346823i
$382$	0.107321	+	0.0779732i	0.00549102	+	0.00398946i
$383$	21.5669	−	23.9524i	1.10202	−	1.22391i	0.129375	−	0.991596i	$-0.458703\pi$
$383$	21.5669	−	23.9524i	1.10202	−	1.22391i	0.972640	−	0.232316i	$-0.0746303\pi$
$384$	−3.93424	−	24.2832i	−0.200768	−	1.23919i
$385$	23.3389	−	11.3752i	1.18946	−	0.579736i
$386$	−33.7891	+	19.5081i	−1.71982	+	0.992938i
$387$	2.90872	−	2.14493i	0.147858	−	0.109033i
$388$	20.2882	+	45.5679i	1.02998	+	2.31336i
$389$	5.87600	+	8.08762i	0.297925	+	0.410059i	0.931568	−	0.363567i	$-0.118441\pi$
$389$	5.87600	+	8.08762i	0.297925	+	0.410059i	−0.633643	+	0.773626i	$0.718441\pi$
$390$	47.6748	+	7.18142i	2.41411	+	0.363645i
$391$	−1.92108	−	0.624196i	−0.0971531	−	0.0315669i
$392$	−2.66772	+	0.280388i	−0.134740	+	0.0141618i
$393$	0.121523	+	2.17168i	0.00613002	+	0.109547i
$394$	37.3221	−	41.4504i	1.88026	−	2.08824i
$395$		−	51.4174i		−	2.58709i
$396$	−33.5166	−	27.7372i	−1.68427	−	1.39385i
$397$	−2.29191	+	1.32323i	−0.115027	+	0.0664111i	−0.556410	−	0.830908i	$-0.687822\pi$
$397$	−2.29191	+	1.32323i	−0.115027	+	0.0664111i	0.441382	+	0.897319i	$0.354488\pi$
$398$	−15.0789	+	4.89944i	−0.755838	+	0.245587i
$399$	13.3707	+	6.75319i	0.669372	+	0.338083i
$400$	−2.89997	−	27.5914i	−0.144999	−	1.37957i
$401$	−11.5428	−	12.8196i	−0.576422	−	0.640182i	0.382465	−	0.923970i	$-0.375075\pi$
$401$	−11.5428	−	12.8196i	−0.576422	−	0.640182i	−0.958887	+	0.283789i	$0.908409\pi$
$402$	24.5410	+	19.7295i	1.22400	+	0.984019i
$403$	15.9305	+	21.7417i	0.793557	+	1.08303i
$404$	−35.2140	−	25.5845i	−1.75196	−	1.27288i
$405$	2.48921	−	27.4116i	0.123690	−	1.36209i
$406$	−43.3760	−	25.0431i	−2.15271	−	1.24287i
$407$	29.5595	+	8.48479i	1.46521	+	0.420576i
$408$	41.6964	+	15.8366i	2.06428	+	0.784030i
$409$	−16.7447	+	18.5968i	−0.827971	+	0.919555i	−0.997825	−	0.0659143i	$-0.979004\pi$
$409$	−16.7447	+	18.5968i	−0.827971	+	0.919555i	0.169854	+	0.985469i	$0.445670\pi$
$410$	−7.04016	+	66.9827i	−0.347689	+	3.30804i
$411$	0.523030	+	1.92470i	0.0257992	+	0.0949383i
$412$	54.5293	−	11.5906i	2.68647	−	0.571026i
$413$	18.1856	+	20.1972i	0.894856	+	0.993838i
$414$	−2.07071	+	2.89293i	−0.101770	+	0.142180i
$415$	14.8291	−	20.4106i	0.727934	−	1.00192i
$416$	11.0550	+	9.87358i	0.542016	+	0.484092i
$417$	−9.86964	−	3.74857i	−0.483318	−	0.183568i
$418$	21.6644	+	18.1886i	1.05964	+	0.889636i
$419$	7.15122	+	4.12876i	0.349360	+	0.201703i	0.664403	−	0.747374i	$-0.268686\pi$
$419$	7.15122	+	4.12876i	0.349360	+	0.201703i	−0.315043	+	0.949077i	$0.602019\pi$
$420$	27.1020	+	52.7285i	1.32244	+	2.57289i
$421$	−18.9048	+	26.0203i	−0.921365	+	1.26815i	0.0417688	+	0.999127i	$0.486701\pi$
$421$	−18.9048	+	26.0203i	−0.921365	+	1.26815i	−0.963134	+	0.269023i	$0.913299\pi$
$422$	33.8973	+	15.0920i	1.65009	+	0.734669i
$423$	7.26775	+	4.12771i	0.353370	+	0.200696i
$424$	5.58052	−	17.1751i	0.271014	−	0.834095i
$425$	−17.0989	−	7.61290i	−0.829417	−	0.369280i
$426$	−24.0984	+	1.34850i	−1.16757	+	0.0653352i
$427$	−1.54301	+	7.25930i	−0.0746716	+	0.351302i
$428$	67.1839			3.24746
$429$	−20.7112	−	0.210365i	−0.999948	−	0.0101565i
$430$	−9.30040			−0.448505
$431$	−2.38527	+	11.2218i	−0.114895	+	0.540536i	0.882621	+	0.470086i	$0.155777\pi$
$431$	−2.38527	+	11.2218i	−0.114895	+	0.540536i	−0.997515	+	0.0704505i	$0.977556\pi$
$432$	20.5668	−	25.9568i	0.989523	−	1.24885i
$433$	3.69115	+	1.64340i	0.177385	+	0.0789770i	0.493508	−	0.869741i	$-0.335714\pi$
$433$	3.69115	+	1.64340i	0.177385	+	0.0789770i	−0.316123	+	0.948718i	$0.602381\pi$
$434$	−14.9268	+	45.9400i	−0.716510	+	2.20519i
$435$	6.27948	−	40.5762i	0.301078	−	1.94548i
$436$	12.6974	+	5.65327i	0.608098	+	0.270742i
$437$	0.932931	−	1.28407i	0.0446282	−	0.0614254i
$438$	−9.52576	+	4.89617i	−0.455158	+	0.233948i
$439$	8.02053	+	4.63066i	0.382799	+	0.221009i	0.679035	−	0.734106i	$-0.262398\pi$
$439$	8.02053	+	4.63066i	0.382799	+	0.221009i	−0.296236	+	0.955115i	$0.595732\pi$
$440$	14.6798	+	58.9461i	0.699832	+	2.81015i
$441$	1.00489	+	0.892008i	0.0478520	+	0.0424765i
$442$	37.1713	−	12.2435i	1.76806	−	0.582366i
$443$	17.9810	−	24.7487i	0.854304	−	1.17585i	−0.128594	−	0.991697i	$-0.541046\pi$
$443$	17.9810	−	24.7487i	0.854304	−	1.17585i	0.982898	−	0.184151i	$-0.0589536\pi$
$444$	−17.9348	+	67.8939i	−0.851147	+	3.22210i
$445$	−8.46217	−	9.39819i	−0.401145	−	0.445517i
$446$	13.3271	−	2.83277i	0.631058	−	0.134135i
$447$	3.01832	−	0.820219i	0.142762	−	0.0387950i
$448$	0.633912	−	6.03127i	0.0299495	−	0.284951i
$449$	23.2584	−	25.8310i	1.09763	−	1.21904i	0.123670	−	0.992323i	$-0.460534\pi$
$449$	23.2584	−	25.8310i	1.09763	−	1.21904i	0.973960	−	0.226718i	$-0.0727996\pi$
$450$	−21.8843	+	24.6538i	−1.03164	+	1.16219i
$451$	−1.00189	−	28.9172i	−0.0471772	−	1.36166i
$452$	−27.2475	−	15.7314i	−1.28161	−	0.739941i
$453$	4.49254	−	6.97181i	0.211078	−	0.327564i
$454$	−6.74938	−	4.90371i	−0.316764	−	0.230143i
$455$	25.8311	+	11.3762i	1.21098	+	0.533325i
$456$	−21.9593	+	27.3146i	−1.02834	+	1.27913i
$457$	−4.03219	−	4.47820i	−0.188618	−	0.209481i	0.641418	−	0.767192i	$-0.278347\pi$
$457$	−4.03219	−	4.47820i	−0.188618	−	0.209481i	−0.830035	+	0.557711i	$0.811680\pi$
$458$	0.864780	+	8.22783i	0.0404085	+	0.384461i
$459$	−8.22789	−	20.7723i	−0.384045	−	0.969568i
$460$	5.97441	−	1.94120i	0.278558	−	0.0905091i
$461$	6.33603	−	3.65811i	0.295098	−	0.170375i	−0.345140	−	0.938551i	$-0.612169\pi$
$461$	6.33603	−	3.65811i	0.295098	−	0.170375i	0.640239	+	0.768176i	$0.278835\pi$
$462$	−21.3900	−	30.3367i	−0.995153	−	1.41139i
$463$		−	19.2793i		−	0.895983i	−0.894038	−	0.447992i	$-0.852139\pi$
$463$		−	19.2793i		−	0.895983i	0.894038	−	0.447992i	$-0.147861\pi$
$464$	33.0566	−	36.7130i	1.53461	−	1.70436i
$465$	−39.5365	+	2.21239i	−1.83346	+	0.102597i
$466$	37.1236	−	3.90185i	1.71972	−	0.180750i
$467$	−31.6832	−	10.2945i	−1.46613	−	0.476373i	−0.536190	−	0.844097i	$-0.680137\pi$
$467$	−31.6832	−	10.2945i	−1.46613	−	0.476373i	−0.929935	+	0.367724i	$0.880137\pi$
$468$	−0.525441	−	47.2923i	−0.0242885	−	2.18609i
$469$	10.8354	+	14.9137i	0.500333	+	0.688649i
$470$	−8.74841	−	19.6493i	−0.403534	−	0.906353i
$471$	15.8557	−	24.6059i	0.730594	−	1.13378i
$472$	−55.0690	+	31.7941i	−2.53476	+	1.46344i
$473$	3.95675	−	0.554982i	0.181932	−	0.0255181i
$474$	−72.5642	+	11.7565i	−3.33298	+	0.539994i
$475$	9.84103	−	10.9296i	0.451537	−	0.501483i
$476$	38.9334	+	28.2868i	1.78451	+	1.29652i
$477$	−8.23780	+	3.73781i	−0.377183	+	0.171143i
$478$	33.3141	+	36.9991i	1.52375	+	1.69230i
$479$	−4.97879	+	4.48292i	−0.227487	+	0.204830i	−0.774990	−	0.631974i	$-0.782245\pi$
$479$	−4.97879	+	4.48292i	−0.227487	+	0.204830i	0.547503	+	0.836804i	$0.315578\pi$
$480$	−21.0140	+	5.71049i	−0.959154	+	0.260647i
$481$	13.7211	+	30.4867i	0.625627	+	1.39008i
$482$	−34.1364	+	11.0916i	−1.55487	+	0.505208i
$483$	−1.61396	+	1.31645i	−0.0734378	+	0.0599004i
$484$	−17.9930	−	44.6045i	−0.817865	−	2.02748i
$485$	−30.2142	+	17.4441i	−1.37195	+	0.792098i
$486$	−39.2545	+	2.75466i	−1.78062	+	0.124954i
$487$	−8.19567	−	0.861400i	−0.371381	−	0.0390338i	−0.0830004	−	0.996550i	$-0.526450\pi$
$487$	−8.19567	−	0.861400i	−0.371381	−	0.0390338i	−0.288381	+	0.957516i	$0.593117\pi$
$488$	−15.8628	−	7.06258i	−0.718076	−	0.319708i
$489$	−13.6407	+	16.9673i	−0.616852	+	0.767287i
$490$	−0.718924	−	3.38227i	−0.0324777	−	0.152795i
$491$	2.16799	+	20.6271i	0.0978401	+	0.930887i	0.927804	+	0.373069i	$0.121694\pi$
$491$	2.16799	+	20.6271i	0.0978401	+	0.930887i	−0.829964	+	0.557818i	$0.811639\pi$
$492$	65.9669	−	3.69138i	2.97402	−	0.166420i
$493$	−10.2993	−	31.6979i	−0.463856	−	1.42760i
$494$	0.123935	+	30.7513i	0.00557611	+	1.38357i
$495$	16.8438	−	25.3423i	0.757072	−	1.13905i
$496$	−41.2614	−	23.8223i	−1.85269	−	1.06965i
$497$	−13.8213	−	2.93781i	−0.619970	−	0.131779i
$498$	−32.1956	−	16.2612i	−1.44272	−	0.728681i
$499$	18.3612	+	25.2720i	0.821960	+	1.13133i	0.989367	+	0.145443i	$0.0464607\pi$
$499$	18.3612	+	25.2720i	0.821960	+	1.13133i	−0.167407	+	0.985888i	$0.553539\pi$
$500$	−8.46284	+	1.79883i	−0.378470	+	0.0804462i
$501$	8.07068	+	1.24900i	0.360571	+	0.0558012i
$502$	1.32270	−	0.960998i	0.0590350	−	0.0428915i
$503$	2.87734	−	27.3760i	0.128294	−	1.22064i	−0.721082	−	0.692850i	$-0.756355\pi$
$503$	2.87734	−	27.3760i	0.128294	−	1.22064i	0.849376	−	0.527788i	$-0.176978\pi$
$504$	37.0142	−	27.2949i	1.64874	−	1.21581i
$505$	15.2222	−	26.3657i	0.677380	−	1.17326i
$506$	−3.53555	+	1.72320i	−0.157174	+	0.0766058i
$507$	−14.3722	−	17.3332i	−0.638293	−	0.769793i
$508$	−23.0674	+	7.49506i	−1.02345	+	0.332539i
$509$	10.4449	−	4.65035i	0.462960	−	0.206123i	−0.161983	−	0.986794i	$-0.551789\pi$
$509$	10.4449	−	4.65035i	0.462960	−	0.206123i	0.624943	+	0.780670i	$0.285122\pi$
$510$	−14.6844	+	55.5893i	−0.650236	+	2.46154i
$511$	−6.13319	+	1.30365i	−0.271316	+	0.0576701i
$512$	47.6851	+	15.4938i	2.10740	+	0.684736i
$513$	17.5211	−	1.10493i	0.773576	−	0.0487840i
$514$	2.60168	−	24.7534i	0.114755	−	1.09182i
$515$	12.0492	+	37.0837i	0.530952	+	1.63410i
$516$	1.45911	+	9.00600i	0.0642337	+	0.396467i
$517$	4.89445	+	7.83752i	0.215257	+	0.344694i
$518$	−29.9576	+	51.8880i	−1.31626	+	2.27983i
$519$	−30.7750	−	1.50363i	−1.35087	−	0.0660020i
$520$	−38.6008	+	53.5822i	−1.69276	+	2.34974i
$521$	24.4170	+	33.6071i	1.06973	+	1.47235i	0.870352	+	0.492430i	$0.163891\pi$
$521$	24.4170	+	33.6071i	1.06973	+	1.47235i	0.199375	+	0.979923i	$0.436109\pi$
$522$	−58.7001	+	0.415592i	−2.56923	+	0.0181899i
$523$	7.64296	−	6.88175i	0.334203	−	0.300918i	−0.484894	−	0.874573i	$-0.661142\pi$
$523$	7.64296	−	6.88175i	0.334203	−	0.300918i	0.819097	+	0.573655i	$0.194475\pi$
$524$	−5.01613	−	2.23332i	−0.219131	−	0.0975632i
$525$	−16.1483	+	10.5683i	−0.704771	+	0.461239i
$526$	24.6603	+	22.2042i	1.07524	+	0.968150i
$527$	−27.8369	+	16.0717i	−1.21260	+	0.700093i
$528$	33.6550	−	14.4156i	1.46465	−	0.627360i
$529$	−11.3897	−	19.7275i	−0.495202	−	0.857716i
$530$	22.7706	+	4.84004i	0.989092	+	0.210238i
$531$	30.3628	+	9.62834i	1.31763	+	0.417835i
$532$	−30.5925	+	22.2267i	−1.32635	+	0.963651i
$533$	23.2907	−	21.1416i	1.00883	−	0.915745i
$534$	−11.3286	+	14.0913i	−0.490236	+	0.609792i
$535$	4.91191	+	46.7337i	0.212360	+	2.02047i
$536$	−39.4018	+	17.5428i	−1.70190	+	0.757734i
$537$	−18.4177	+	9.46654i	−0.794781	+	0.408511i
$538$	−16.8219			−0.725244
$539$	0.507688	+	1.39605i	0.0218677	+	0.0601321i
$540$	58.6724	+	37.2225i	2.52486	+	1.60180i
$541$	−2.43992	−	7.50930i	−0.104900	−	0.322850i	0.884807	−	0.465958i	$-0.154290\pi$
$541$	−2.43992	−	7.50930i	−0.104900	−	0.322850i	−0.989707	+	0.143108i	$0.954290\pi$
$542$	18.3599	+	1.92970i	0.788623	+	0.0828876i
$543$	36.3430	+	9.60033i	1.55963	+	0.411989i
$544$	−13.1361	+	11.8278i	−0.563206	+	0.507113i
$545$	−3.00413	+	9.24577i	−0.128683	+	0.396045i
$546$	10.1488	−	39.0560i	0.434327	−	1.67144i
$547$	9.75954	−	13.4329i	0.417288	−	0.574348i	−0.547689	−	0.836682i	$-0.684492\pi$
$547$	9.75954	−	13.4329i	0.417288	−	0.574348i	0.964977	+	0.262334i	$0.0844923\pi$
$548$	−4.92495	−	1.04683i	−0.210383	−	0.0447184i
$549$	2.74634	+	8.25309i	0.117211	+	0.352233i
$550$	−34.2504	+	12.4555i	−1.46044	+	0.531106i
$551$	26.1889			1.11568
$552$	−2.22767	−	4.33405i	−0.0948158	−	0.184469i
$553$	−42.7996	−	4.49842i	−1.82002	−	0.191292i
$554$	−38.0336	+	27.6330i	−1.61589	+	1.17401i
$555$	−48.5388	−	7.51176i	−2.06036	−	0.318856i
$556$	19.8061	−	17.8335i	0.839968	−	0.756310i
$557$	40.7475	−	4.28274i	1.72653	−	0.181465i	0.811362	−	0.584544i	$-0.198727\pi$
$557$	40.7475	−	4.28274i	1.72653	−	0.181465i	0.915165	+	0.403078i	$0.132060\pi$
$558$	12.1622	+	55.2911i	0.514869	+	2.34066i
$559$	3.23957	+	2.89337i	0.137019	+	0.122376i
$560$	−49.8927			−2.10835
$561$	2.93014	−	24.5261i	0.123711	−	1.03549i
$562$	29.8499	−	51.7015i	1.25914	−	2.18090i
$563$	−7.37099	+	8.18632i	−0.310650	+	0.345012i	−0.878171	−	0.478347i	$-0.841236\pi$
$563$	−7.37099	+	8.18632i	−0.310650	+	0.345012i	0.567520	+	0.823359i	$0.307903\pi$
$564$	−17.6548	+	11.5542i	−0.743400	+	0.486520i
$565$	8.95076	−	20.1037i	0.376561	−	0.845771i
$566$	67.7314	−	14.3968i	2.84696	−	0.605141i
$567$	−22.5995	−	4.47020i	−0.949090	−	0.187731i
$568$	13.4468	−	30.2019i	0.564213	−	1.26724i
$569$	11.3148	−	5.03768i	0.474342	−	0.211191i	−0.155619	−	0.987817i	$-0.549737\pi$
$569$	11.3148	−	5.03768i	0.474342	−	0.211191i	0.629961	+	0.776626i	$0.283071\pi$
$570$	−37.9767	−	24.4716i	−1.59067	−	1.02500i
$571$		−	13.0136i		−	0.544602i	−0.962212	−	0.272301i	$-0.912215\pi$
$571$		−	13.0136i		−	0.544602i	0.962212	−	0.272301i	$-0.0877846\pi$
$572$	24.3736	−	46.2585i	1.01911	−	1.93416i
$573$	0.0850889	+	0.0323175i	0.00355464	+	0.00135008i
$574$	55.1401	+	11.7204i	2.30150	+	0.489200i
$575$	0.831744	+	1.86813i	0.0346861	+	0.0779063i
$576$	−2.93683	−	6.47252i	−0.122368	−	0.269688i
$577$	−17.1887	−	5.58495i	−0.715576	−	0.232505i	−0.0714719	−	0.997443i	$-0.522770\pi$
$577$	−17.1887	−	5.58495i	−0.715576	−	0.232505i	−0.644104	+	0.764938i	$0.722770\pi$
$578$	0.781176	+	3.67514i	0.0324926	+	0.152866i
$579$	−18.8623	+	18.9964i	−0.783892	+	0.789462i
$580$	83.8557	+	60.9247i	3.48192	+	2.52976i
$581$	−15.6923	−	14.1294i	−0.651026	−	0.586186i
$582$	31.5269	+	38.6520i	1.30683	+	1.60218i
$583$	−9.97633	−	0.700355i	−0.413177	−	0.0290057i
$584$		−	14.6704i		−	0.607065i
$585$	32.8585	−	3.82311i	1.35853	−	0.158066i
$586$	59.0615	+	42.9107i	2.43981	+	1.77262i
$587$	−4.70221	−	44.7385i	−0.194081	−	1.84656i	−0.466677	−	0.884428i	$-0.654549\pi$
$587$	−4.70221	−	44.7385i	−0.194081	−	1.84656i	0.272596	−	0.962129i	$-0.412118\pi$
$588$	−3.16242	+	1.22680i	−0.130416	+	0.0505924i
$589$	−5.25124	−	24.7052i	−0.216374	−	1.01796i
$590$	−48.1808	−	66.3151i	−1.98357	−	2.73015i
$591$	17.2536	−	34.1605i	0.709718	−	1.40517i
$592$	−43.9175	−	39.5435i	−1.80500	−	1.62523i
$593$		−	20.9222i		−	0.859174i	−0.903026	−	0.429587i	$-0.858659\pi$
$593$		−	20.9222i		−	0.859174i	0.903026	−	0.429587i	$-0.141341\pi$
$594$	−39.6163	−	17.9768i	−1.62548	−	0.737596i
$595$	−16.8300	+	29.1505i	−0.689964	+	1.19505i
$596$	−1.64164	+	7.72333i	−0.0672444	+	0.316360i
$597$	−9.10250	+	5.95715i	−0.372541	+	0.243810i
$598$	−3.91308	−	1.72335i	−0.160018	−	0.0704732i
$599$	−30.2643	−	9.83347i	−1.23657	−	0.401785i	−0.383477	−	0.923550i	$-0.625274\pi$
$599$	−30.2643	−	9.83347i	−1.23657	−	0.401785i	−0.853089	+	0.521766i	$0.825274\pi$
$600$	−16.3309	−	42.0975i	−0.666708	−	1.71862i
$601$	40.0259	−	4.20689i	1.63269	−	0.171602i	0.756642	−	0.653829i	$-0.226839\pi$
$601$	40.0259	−	4.20689i	1.63269	−	0.171602i	0.876046	+	0.482227i	$0.160172\pi$
$602$	−0.813676	+	7.74161i	−0.0331629	+	0.315524i
$603$	19.7990	+	8.64765i	0.806278	+	0.352160i
$604$	10.4687	+	18.1323i	0.425966	+	0.737795i
$605$	29.7118	−	15.7772i	1.20796	−	0.641435i
$606$	−40.6898	−	15.4543i	−1.65291	−	0.627789i
$607$	29.4163	+	26.4866i	1.19397	+	1.07506i	0.995482	+	0.0949542i	$0.0302705\pi$
$607$	29.4163	+	26.4866i	1.19397	+	1.07506i	0.198490	+	0.980103i	$0.436396\pi$
$608$	−5.64936	−	12.6887i	−0.229112	−	0.514594i
$609$	−33.2261	−	8.77695i	−1.34639	−	0.355660i
$610$	6.91689	−	21.2880i	0.280057	−	0.861926i
$611$	−3.06561	+	9.56600i	−0.124021	+	0.386999i
$612$	56.1335	+	5.49836i	2.26906	+	0.222258i
$613$	−22.4208	+	9.98237i	−0.905566	+	0.403184i	−0.806047	−	0.591852i	$-0.798397\pi$
$613$	−22.4208	+	9.98237i	−0.905566	+	0.403184i	−0.0995192	+	0.995036i	$0.531730\pi$
$614$	3.91498	−	18.4185i	0.157996	−	0.743312i
$615$	7.39069	+	45.6173i	0.298021	+	1.83947i
$616$	50.3508	−	7.06230i	2.02869	−	0.284548i
$617$	−11.8495	−	20.5240i	−0.477044	−	0.826265i	0.522609	−	0.852572i	$-0.324959\pi$
$617$	−11.8495	−	20.5240i	−0.477044	−	0.826265i	−0.999654	+	0.0263070i	$0.991625\pi$
$618$	49.5803	−	25.4839i	1.99441	−	1.02511i
$619$	16.1336	−	22.2060i	0.648463	−	0.892533i	−0.350568	−	0.936537i	$-0.614012\pi$
$619$	16.1336	−	22.2060i	0.648463	−	0.892533i	0.999031	+	0.0440044i	$0.0140116\pi$
$620$	40.6588	−	91.3212i	1.63290	−	3.66755i
$621$	−0.850532	+	2.28805i	−0.0341307	+	0.0918162i
$622$	33.3174	+	37.0028i	1.33591	+	1.48368i
$623$	−8.56335	+	6.22164i	−0.343083	+	0.249265i
$624$	35.5995	+	17.8007i	1.42512	+	0.712599i
$625$	−8.59575	−	26.4550i	−0.343830	−	1.05820i
$626$	−49.7474	−	28.7217i	−1.98831	−	1.14795i
$627$	17.6171	+	8.14502i	0.703557	+	0.325281i
$628$	36.9478	+	63.9954i	1.47438	+	2.55370i
$629$	−37.9183	+	12.3204i	−1.51190	+	0.491246i
$630$	39.9799	+	43.7749i	1.59284	+	1.74403i
$631$	−3.73119	+	8.38040i	−0.148536	+	0.333618i	−0.972455	−	0.233090i	$-0.925116\pi$
$631$	−3.73119	+	8.38040i	−0.148536	+	0.333618i	0.823919	+	0.566708i	$0.191783\pi$
$632$	31.1148	−	95.7616i	1.23768	−	3.80919i
$633$	25.1595	+	3.89363i	1.00000	+	0.154758i
$634$	−32.7373	+	3.44083i	−1.30016	+	0.136653i
$635$	−6.90012	−	15.4979i	−0.273823	−	0.615016i
$636$	1.11443	−	22.8092i	0.0441900	−	0.904443i
$637$	−0.801810	+	1.40179i	−0.0317689	+	0.0555410i
$638$	−57.2923	−	30.4830i	−2.26822	−	1.20683i
$639$	−15.7134	+	5.22888i	−0.621613	+	0.206851i
$640$	−9.03078	+	42.4865i	−0.356973	+	1.67942i
$641$	32.2593	+	3.39059i	1.27417	+	0.133920i	0.717349	−	0.696714i	$-0.245356\pi$
$641$	32.2593	+	3.39059i	1.27417	+	0.133920i	0.556818	+	0.830635i	$0.312022\pi$
$642$	64.8311	−	17.6177i	2.55868	−	0.695313i
$643$	1.64859	+	7.75599i	0.0650139	+	0.305866i	0.998625	−	0.0524215i	$-0.0166939\pi$
$643$	1.64859	+	7.75599i	0.0650139	+	0.305866i	−0.933611	+	0.358288i	$0.883361\pi$
$644$	−1.09316	−	5.14291i	−0.0430765	−	0.202659i
$645$	−6.15797	+	1.67341i	−0.242470	+	0.0658905i
$646$	−36.4720	−	3.83336i	−1.43497	−	0.150821i
$647$	−0.135724	+	0.638530i	−0.00533585	+	0.0251032i	−0.980735	−	0.195343i	$-0.937418\pi$
$647$	−0.135724	+	0.638530i	−0.00533585	+	0.0251032i	0.975399	+	0.220446i	$0.0707513\pi$
$648$	21.2239	−	49.5460i	0.833753	−	1.94635i
$649$	24.4552	+	25.3380i	0.959951	+	0.994602i
$650$	−34.3913	−	19.6715i	−1.34894	−	0.771578i
$651$	−1.61740	+	33.1036i	−0.0633909	+	1.29743i
$652$	−22.3535	−	50.2069i	−0.875433	−	1.96625i
$653$	−35.8190	+	3.76473i	−1.40170	+	0.147325i	−0.775015	−	0.631943i	$-0.782258\pi$
$653$	−35.8190	+	3.76473i	−1.40170	+	0.147325i	−0.626690	+	0.779268i	$0.715591\pi$
$654$	13.7352	+	2.12563i	0.537090	+	0.0831189i
$655$	1.18678	−	3.65254i	0.0463715	−	0.142717i
$656$	−22.6154	+	50.7951i	−0.882984	+	1.98321i
$657$	−5.42623	+	4.95581i	−0.211697	+	0.193344i
$658$	−17.1213	+	5.56306i	−0.667459	+	0.216871i
$659$	13.5299	+	23.4345i	0.527051	+	0.912880i	0.999503	+	0.0315233i	$0.0100358\pi$
$659$	13.5299	+	23.4345i	0.527051	+	0.912880i	−0.472452	+	0.881357i	$0.656631\pi$
$660$	37.4608	+	67.0636i	1.45816	+	2.61045i
$661$	8.36648	+	4.83039i	0.325418	+	0.187880i	0.653805	−	0.756663i	$-0.273172\pi$
$661$	8.36648	+	4.83039i	0.325418	+	0.187880i	−0.328387	+	0.944543i	$0.606505\pi$
$662$	12.2607	+	37.7344i	0.476524	+	1.46659i
$663$	22.4089	−	14.7949i	0.870289	−	0.574586i
$664$	39.9696	−	29.0396i	1.55112	−	1.12696i
$665$	−17.6978	−	19.6554i	−0.686290	−	0.762202i
$666$	0.497147	+	70.2193i	0.0192640	+	2.72094i
$667$	−1.48108	+	3.32655i	−0.0573475	+	0.128805i
$668$	−12.1180	+	16.6790i	−0.468861	+	0.645331i
$669$	8.31445	−	4.27357i	0.321455	−	0.165226i
$670$	−27.7993	−	48.1499i	−1.07398	−	1.86019i
$671$	−1.67240	+	9.46949i	−0.0645622	+	0.365566i
$672$	2.91491	+	17.9916i	0.112445	+	0.694039i
$673$	1.29259	−	6.08114i	0.0498255	−	0.234411i	−0.946187	−	0.323619i	$-0.895100\pi$
$673$	1.29259	−	6.08114i	0.0498255	−	0.234411i	0.996013	+	0.0892084i	$0.0284337\pi$
$674$	52.6791	−	23.4542i	2.02912	−	0.903423i
$675$	−10.0541	+	20.2614i	−0.386983	+	0.779862i
$676$	55.5026	−	12.2659i	2.13472	−	0.471763i
$677$	2.52475	−	7.77040i	0.0970342	−	0.298641i	−0.890744	−	0.454505i	$-0.849816\pi$
$677$	2.52475	−	7.77040i	0.0970342	−	0.298641i	0.987778	+	0.155864i	$0.0498162\pi$
$678$	−30.4185	−	8.03532i	−1.16822	−	0.308594i
$679$	11.8770	+	26.6763i	0.455799	+	1.02374i
$680$	−58.5259	−	52.6970i	−2.24437	−	2.02084i
$681$	−5.35122	−	2.03244i	−0.205059	−	0.0778831i
$682$	−17.2680	+	60.1587i	−0.661227	+	2.30360i
$683$	−6.57449	−	11.3874i	−0.251566	−	0.435725i	0.712391	−	0.701783i	$-0.247612\pi$
$683$	−6.57449	−	11.3874i	−0.251566	−	0.435725i	−0.963957	+	0.266057i	$0.914279\pi$
$684$	−17.7390	+	40.6138i	−0.678267	+	1.55291i
$685$	0.368114	−	3.50237i	0.0140649	−	0.133819i
$686$	−47.8621	+	5.03051i	−1.82738	+	0.192066i
$687$	2.05301	+	5.29221i	0.0783273	+	0.201910i
$688$	−7.30216	−	2.37261i	−0.278392	−	0.0904551i
$689$	−6.42586	−	8.76989i	−0.244806	−	0.334106i
$690$	5.25614	−	3.43989i	0.200098	−	0.130954i
$691$	5.17200	−	24.3324i	0.196752	−	0.925647i	−0.763347	−	0.645988i	$-0.776445\pi$
$691$	5.17200	−	24.3324i	0.196752	−	0.925647i	0.960100	−	0.279658i	$-0.0902212\pi$
$692$	38.8911	−	67.3613i	1.47842	−	2.56069i
$693$	−19.6212	−	16.2378i	−0.745347	−	0.616825i
$694$		−	58.9954i		−	2.23943i
$695$	13.8532	+	12.4735i	0.525482	+	0.473146i
$696$	36.2495	−	71.7706i	1.37403	−	2.72046i
$697$	22.0489	+	30.3478i	0.835164	+	1.14950i
$698$	−6.37058	−	29.9712i	−0.241130	−	1.13443i
$699$	23.8782	−	9.26309i	0.903156	−	0.350362i
$700$	−5.09257	−	48.4526i	−0.192481	−	1.83134i
$701$	15.7276	+	11.4268i	0.594022	+	0.431583i	0.843752	−	0.536733i	$-0.180342\pi$
$701$	15.7276	+	11.4268i	0.594022	+	0.431583i	−0.249730	+	0.968316i	$0.580342\pi$
$702$	−12.9085	−	45.4983i	−0.487201	−	1.71722i
$703$		−	31.3281i		−	1.18156i
$704$	0.550275	−	7.83849i	0.0207393	−	0.295424i
$705$	−9.32796	−	11.4361i	−0.351311	−	0.430707i
$706$	−34.7587	−	31.2968i	−1.30816	−	1.17787i
$707$	−20.6149	−	14.9776i	−0.775303	−	0.563291i
$708$	−56.6571	+	57.0596i	−2.12930	+	2.14443i
$709$	−8.72917	−	41.0675i	−0.327831	−	1.54232i	−0.765648	−	0.643259i	$-0.777582\pi$
$709$	−8.72917	−	41.0675i	−0.327831	−	1.54232i	0.437817	−	0.899064i	$-0.355752\pi$
$710$	40.5311	+	13.1694i	1.52111	+	0.494238i
$711$	−45.9308	+	20.8406i	−1.72254	+	0.781584i
$712$	−10.0730	−	22.6243i	−0.377502	−	0.847883i
$713$	3.43506	+	0.730145i	0.128644	+	0.0273442i
$714$	44.9876	+	17.0866i	1.68362	+	0.639451i
$715$	33.9598	+	13.5725i	1.27002	+	0.507581i
$716$		−	52.2763i		−	1.95366i
$717$	28.7151	+	18.5036i	1.07239	+	0.691031i
$718$	−29.0294	+	12.9247i	−1.08337	+	0.482346i
$719$	−5.81800	+	13.0674i	−0.216975	+	0.487334i	−0.988937	−	0.148335i	$-0.952609\pi$
$719$	−5.81800	+	13.0674i	−0.216975	+	0.487334i	0.771962	+	0.635668i	$0.219275\pi$
$720$	−50.4323	+	29.5952i	−1.87950	+	1.10295i
$721$	31.9224	−	6.78532i	1.18885	−	0.252699i
$722$	−7.78772	+	17.4915i	−0.289829	+	0.650966i
$723$	−20.6067	+	13.4861i	−0.766370	+	0.501552i
$724$	−63.4955	+	70.5189i	−2.35979	+	2.62082i
$725$	−16.8707	+	29.2209i	−0.626561	+	1.08524i
$726$	−29.0596	−	38.3242i	−1.07850	−	1.42234i
$727$	−5.75664			−0.213502			−0.106751	−	0.994286i	$-0.534045\pi$
$727$	−5.75664			−0.213502			−0.106751	+	0.994286i	$0.534045\pi$
$728$	41.2245	+	36.8189i	1.52788	+	1.36460i
$729$	−25.4955	+	8.88693i	−0.944279	+	0.329146i
$730$	18.8076	−	1.97676i	0.696102	−	0.0731633i
$731$	−3.84943	+	3.46604i	−0.142376	+	0.128196i
$732$	−21.6993	−	3.35814i	−0.802030	−	0.124120i
$733$	−7.73686	+	5.62116i	−0.285767	+	0.207622i	−0.721429	−	0.692488i	$-0.756514\pi$
$733$	−7.73686	+	5.62116i	−0.285767	+	0.207622i	0.435662	+	0.900111i	$0.356514\pi$
$734$	1.67478	+	0.176026i	0.0618171	+	0.00649724i
$735$	−1.08458	−	2.11011i	−0.0400054	−	0.0778327i
$736$	1.93123			0.0711859
$737$	14.7002	+	18.8260i	0.541488	+	0.693463i
$738$	62.6887	−	20.8606i	2.30760	−	0.767890i
$739$	−25.9990	−	5.52625i	−0.956388	−	0.203286i	−0.296821	−	0.954933i	$-0.595927\pi$
$739$	−25.9990	−	5.52625i	−0.956388	−	0.203286i	−0.659566	+	0.751647i	$0.729260\pi$
$740$	72.8805	−	100.311i	2.67914	−	3.68752i
$741$	5.61510	+	20.3387i	0.206276	+	0.747162i
$742$	6.02099	−	18.5307i	0.221038	−	0.680284i
$743$	−3.20742	+	2.88798i	−0.117669	+	0.105950i	−0.725865	−	0.687837i	$-0.758560\pi$
$743$	−3.20742	+	2.88798i	−0.117669	+	0.105950i	0.608196	+	0.793787i	$0.291894\pi$
$744$	−74.9730	−	19.8048i	−2.74864	−	0.726078i
$745$	−5.49244	−	0.577278i	−0.201227	−	0.0211498i
$746$	−1.31784	−	4.05591i	−0.0482497	−	0.148497i
$747$	−24.2432	−	4.97393i	−0.887013	−	0.181987i
$748$	51.6850	+	34.8826i	1.88979	+	1.27543i
$749$	39.3307			1.43711
$750$	−7.69476	+	3.95505i	−0.280973	+	0.144418i
$751$	−11.5762	+	5.15405i	−0.422421	+	0.188074i	−0.606927	−	0.794757i	$-0.707598\pi$
$751$	−11.5762	+	5.15405i	−0.422421	+	0.188074i	0.184506	+	0.982831i	$0.440931\pi$
$752$	−1.85607	−	17.6593i	−0.0676838	−	0.643969i
$753$	0.702875	−	0.874288i	0.0256142	−	0.0318608i
$754$	−14.9463	−	68.9491i	−0.544311	−	2.51098i
$755$	−11.8476	+	8.60781i	−0.431180	+	0.313270i
$756$	36.1169	−	45.5821i	1.31356	−	1.65780i
$757$	−16.7933	−	3.56953i	−0.610363	−	0.129737i	−0.107648	−	0.994189i	$-0.534332\pi$
$757$	−16.7933	−	3.56953i	−0.610363	−	0.129737i	−0.502715	+	0.864452i	$0.667665\pi$
$758$	19.9550	+	34.5631i	0.724798	+	1.25539i
$759$	−2.03090	+	1.77711i	−0.0737170	+	0.0645052i
$760$	53.5917	−	30.9412i	1.94398	−	1.12236i
$761$	4.84567	+	4.36306i	0.175655	+	0.158161i	0.752269	−	0.658856i	$-0.228959\pi$
$761$	4.84567	+	4.36306i	0.175655	+	0.158161i	−0.576613	+	0.817017i	$0.695626\pi$
$762$	−20.2942	+	13.2815i	−0.735180	+	0.481140i
$763$	7.43331	+	3.30952i	0.269104	+	0.119813i
$764$	−0.170754	+	0.153748i	−0.00617768	+	0.00556241i
$765$	0.279295	+	39.4489i	0.0100979	+	1.42628i
$766$	47.8242	+	65.8244i	1.72796	+	2.37833i
$767$	−3.84812	+	38.0884i	−0.138948	+	1.37529i
$768$	53.8276	+	2.62995i	1.94234	+	0.0949003i
$769$	−16.0660	+	27.8270i	−0.579353	+	1.00347i	0.416201	+	0.909273i	$0.363361\pi$
$769$	−16.0660	+	27.8270i	−0.579353	+	1.00347i	−0.995554	+	0.0941960i	$0.969972\pi$
$770$	15.8385	+	63.5988i	0.570779	+	2.29194i
$771$	−2.73122	−	16.8578i	−0.0983625	−	0.607119i
$772$	−20.8833	−	64.2723i	−0.751608	−	2.31321i
$773$	2.92810	−	27.8590i	0.105316	−	1.00202i	−0.806448	−	0.591305i	$-0.798613\pi$
$773$	2.92810	−	27.8590i	0.105316	−	1.00202i	0.911764	−	0.410714i	$-0.134720\pi$
$774$	3.76966	+	8.30798i	0.135497	+	0.298624i
$775$	30.9482	+	10.0557i	1.11169	+	0.361211i
$776$	−66.8281	+	14.2047i	−2.39899	+	0.509921i
$777$	−10.4993	+	39.7463i	−0.376661	+	1.42589i
$778$	−23.0540	+	10.2643i	−0.826527	+	0.367993i
$779$	−28.0329	+	9.10844i	−1.00438	+	0.326344i
$780$	−29.3358	+	78.1865i	−1.05039	+	2.79953i
$781$	−18.0294	−	3.18415i	−0.645142	−	0.113938i
$782$	2.54954	−	4.41593i	0.0911713	−	0.157913i
$783$	−38.7917	+	10.8370i	−1.38630	+	0.387283i
$784$	0.298388	−	2.83898i	0.0106567	−	0.101392i
$785$	−41.8144	+	30.3800i	−1.49242	+	1.08431i
$786$	−5.42611	−	0.839732i	−0.193543	−	0.0299523i
$787$	12.2764	−	2.60943i	0.437606	−	0.0930161i	0.0161600	−	0.999869i	$-0.494856\pi$
$787$	12.2764	−	2.60943i	0.437606	−	0.0930161i	0.421446	+	0.906853i	$0.361523\pi$
$788$	56.7866	+	78.1601i	2.02294	+	2.78434i
$789$	20.3232	+	10.2647i	0.723526	+	0.365435i
$790$	126.960	+	26.9862i	4.51704	+	0.960127i
$791$	−15.9512	−	9.20941i	−0.567158	−	0.327449i
$792$	46.7061	−	37.0055i	1.65963	−	1.31493i
$793$	−9.03206	+	5.26331i	−0.320738	+	0.186906i
$794$	−2.06444	−	6.35368i	−0.0732641	−	0.225484i
$795$	15.9477	−	0.892404i	0.565608	−	0.0316503i
$796$	−2.87058	−	27.3118i	−0.101745	−	0.968040i
$797$	−6.35538	−	29.8997i	−0.225119	−	1.05910i	−0.934964	−	0.354744i	$-0.884568\pi$
$797$	−6.35538	−	29.8997i	−0.225119	−	1.05910i	0.709845	−	0.704358i	$-0.248765\pi$
$798$	−23.6926	+	29.4706i	−0.838709	+	1.04325i
$799$	−10.9438	−	4.87248i	−0.387163	−	0.172376i
$800$	17.7970	+	1.87054i	0.629218	+	0.0661334i
$801$	−4.96544	+	11.3685i	−0.175445	+	0.401686i
$802$	37.7125	−	21.7733i	1.33168	−	0.768843i
$803$	−7.88355	+	1.96330i	−0.278204	+	0.0692833i
$804$	−42.2644	+	34.4735i	−1.49055	+	1.21579i
$805$	3.49753	−	1.13642i	0.123272	−	0.0400534i
$806$	−62.0459	+	27.9248i	−2.18547	+	0.983608i
$807$	−11.1381	+	3.02675i	−0.392080	+	0.106547i
$808$	44.3054	−	39.8927i	1.55866	−	1.40342i
$809$	1.79070	+	1.98878i	0.0629578	+	0.0699217i	0.773801	−	0.633429i	$-0.218353\pi$
$809$	1.79070	+	1.98878i	0.0629578	+	0.0699217i	−0.710843	+	0.703351i	$0.751686\pi$
$810$	66.3785	+	20.5332i	2.33230	+	0.721465i
$811$	−18.8518	−	13.6966i	−0.661975	−	0.480953i	0.205354	−	0.978688i	$-0.434165\pi$
$811$	−18.8518	−	13.6966i	−0.661975	−	0.480953i	−0.867329	+	0.497734i	$0.834165\pi$
$812$	58.0498	−	64.4709i	2.03715	−	2.26248i
$813$	12.5036	−	2.02578i	0.438521	−	0.0710471i
$814$	−36.4649	+	68.5353i	−1.27809	+	2.40216i
$815$	33.2900	−	19.2200i	1.16610	−	0.673248i
$816$	−25.7107	+	39.8995i	−0.900055	+	1.39676i
$817$	−1.65550	−	3.71831i	−0.0579185	−	0.130087i
$818$	−37.1311	−	51.1066i	−1.29826	−	1.78690i
$819$	−0.307602	−	27.6858i	−0.0107485	−	0.967419i
$820$	−110.950	−	36.0497i	−3.87453	−	1.25891i
$821$	−12.9646	+	1.36263i	−0.452467	+	0.0475562i	−0.328022	−	0.944670i	$-0.606382\pi$
$821$	−12.9646	+	1.36263i	−0.452467	+	0.0475562i	−0.124446	+	0.992226i	$0.539715\pi$
$822$	−5.02699	+	0.281300i	−0.175336	+	0.00981148i
$823$	−1.71174	+	1.90108i	−0.0596676	+	0.0662676i	−0.772240	−	0.635331i	$-0.780864\pi$
$823$	−1.71174	+	1.90108i	−0.0596676	+	0.0662676i	0.712572	+	0.701599i	$0.247530\pi$
$824$			76.3574i			2.66004i
$825$	−20.4368	+	14.4097i	−0.711517	+	0.501681i
$826$	−59.4157	+	34.3036i	−2.06734	+	1.19358i
$827$	17.6415	−	5.73207i	0.613455	−	0.199324i	0.0142229	−	0.999899i	$-0.495473\pi$
$827$	17.6415	−	5.73207i	0.613455	−	0.199324i	0.599232	+	0.800575i	$0.295473\pi$
$828$	−4.15563	−	4.55009i	−0.144418	−	0.158127i
$829$	−1.41052	−	13.4202i	−0.0489895	−	0.466104i	−0.991325	−	0.131434i	$-0.958042\pi$
$829$	−1.41052	−	13.4202i	−0.0489895	−	0.466104i	0.942335	−	0.334670i	$-0.108625\pi$
$830$	42.6149	+	47.3287i	1.47919	+	1.64280i
$831$	−20.2108	+	25.1397i	−0.701105	+	0.872086i
$832$	6.89058	−	5.04886i	0.238888	−	0.175038i
$833$	−1.55806	−	1.13199i	−0.0539834	−	0.0392212i
$834$	14.4360	−	22.4028i	0.499879	−	0.775744i
$835$	−12.4880	−	7.20998i	−0.432167	−	0.249512i
$836$	−38.6178	+	30.1545i	−1.33563	+	1.04292i
$837$	18.0013	+	34.4210i	0.622217	+	1.18976i
$838$	−13.9481	+	15.4909i	−0.481828	+	0.535124i
$839$	−0.167609	+	1.59470i	−0.00578652	+	0.0550550i	−0.997034	−	0.0769609i	$-0.975478\pi$
$839$	−0.167609	+	1.59470i	−0.00578652	+	0.0550550i	0.991248	+	0.132016i	$0.0421450\pi$
$840$	−78.3619	+	21.2946i	−2.70374	+	0.734734i
$841$	−30.4035	+	6.46247i	−1.04840	+	0.222844i
$842$	−54.3273	−	60.3366i	−1.87224	−	2.07934i
$843$	10.4616	−	39.6034i	0.360316	−	1.36401i
$844$	−37.7768	+	51.9952i	−1.30033	+	1.78975i
$845$	12.5901	+	37.7113i	0.433113	+	1.29731i
$846$	−14.0066	+	15.7792i	−0.481558	+	0.542499i
$847$	−10.5334	−	26.1123i	−0.361933	−	0.897229i
$848$	16.6435	+	9.60912i	0.571540	+	0.329979i
$849$	42.2559	−	21.7192i	1.45022	−	0.745402i
$850$	27.7721	−	38.2250i	0.952576	−	1.31111i
$851$	3.97935	+	1.77172i	0.136410	+	0.0607338i
$852$	6.39370	−	41.3143i	0.219045	−	1.41540i
$853$	4.05237	−	12.4719i	0.138750	−	0.427030i	−0.857404	−	0.514644i	$-0.827924\pi$
$853$	4.05237	−	12.4719i	0.138750	−	0.427030i	0.996155	+	0.0876138i	$0.0279241\pi$
$854$	−17.1149	−	7.62003i	−0.585659	−	0.260752i
$855$	−29.5482	−	9.37005i	−1.01053	−	0.320449i
$856$	−19.1324	+	90.0109i	−0.653932	+	3.07651i
$857$	3.25280			0.111114			0.0555568	−	0.998456i	$-0.482307\pi$
$857$	3.25280			0.111114			0.0555568	+	0.998456i	$0.482307\pi$
$858$	11.3897	−	51.0300i	0.388836	−	1.74213i
$859$	−1.63712			−0.0558577			−0.0279289	−	0.999610i	$-0.508891\pi$
$859$	−1.63712			−0.0558577			−0.0279289	+	0.999610i	$0.508891\pi$
$860$	3.34928	−	15.7571i	0.114210	−	0.537314i
$861$	38.6182	−	2.16100i	1.31610	−	0.0736467i
$862$	−26.4571	−	11.7795i	−0.901133	−	0.401210i
$863$	−14.6848	+	45.1952i	−0.499877	+	1.53846i	0.309339	+	0.950952i	$0.399892\pi$
$863$	−14.6848	+	45.1952i	−0.499877	+	1.53846i	−0.809216	+	0.587511i	$0.800108\pi$
$864$	13.6186	+	16.4571i	0.463314	+	0.559881i
$865$	49.7005	+	22.1281i	1.68987	+	0.752377i
$866$	−5.99519	+	8.25167i	−0.203725	+	0.280403i
$867$	1.17850	+	2.29283i	0.0400238	+	0.0778686i
$868$	−72.4581	−	41.8337i	−2.45939	−	1.41993i
$869$	−55.6242	−	3.90491i	−1.88692	−	0.132465i
$870$	96.8953	+	36.8016i	3.28506	+	1.24769i
$871$	−5.29626	+	25.4203i	−0.179457	+	0.861334i
$872$	−11.1900	+	15.4017i	−0.378941	+	0.521568i
$873$	27.8292	+	19.9196i	0.941876	+	0.674177i
$874$	2.68099	+	2.97754i	0.0906858	+	0.100717i
$875$	−4.95430	+	1.05307i	−0.167486	+	0.0356002i
$876$	−4.86486	−	17.9022i	−0.164368	−	0.604858i
$877$	−0.352925	+	3.35785i	−0.0119174	+	0.113387i	−0.998863	−	0.0476651i	$-0.984822\pi$
$877$	−0.352925	+	3.35785i	−0.0119174	+	0.113387i	0.986946	+	0.161052i	$0.0514886\pi$
$878$	−15.6436	+	17.3740i	−0.527946	+	0.586343i
$879$	46.8267	+	17.7851i	1.57942	+	0.599878i
$880$	−64.6075	+	2.23845i	−2.17792	+	0.0754581i
$881$	42.6469	+	24.6222i	1.43681	+	0.829543i	0.997627	−	0.0688535i	$-0.0219341\pi$
$881$	42.6469	+	24.6222i	1.43681	+	0.829543i	0.439185	+	0.898397i	$0.355267\pi$
$882$	−2.72997	+	2.01312i	−0.0919227	+	0.0677852i
$883$	−38.6779	−	28.1012i	−1.30162	−	0.945679i	−0.301646	−	0.953420i	$-0.597536\pi$
$883$	−38.6779	−	28.1012i	−1.30162	−	0.945679i	−0.999970	+	0.00774081i	$0.997536\pi$
$884$	7.35730	+	67.3865i	0.247453	+	2.26645i
$885$	−43.8334	−	35.2394i	−1.47344	−	1.18456i
$886$	51.6725	+	57.3881i	1.73597	+	1.92799i
$887$	1.33111	+	12.6647i	0.0446942	+	0.425237i	0.993875	+	0.110507i	$0.0352474\pi$
$887$	1.33111	+	12.6647i	0.0446942	+	0.425237i	−0.949181	+	0.314730i	$0.898086\pi$
$888$	−85.8547	−	43.3630i	−2.88110	−	1.45517i
$889$	−13.5041	+	4.38774i	−0.452912	+	0.147160i
$890$	27.6474	−	15.9623i	0.926744	−	0.535056i
$891$	−29.4653	−	4.77465i	−0.987124	−	0.159957i
$892$			23.5995i			0.790171i
$893$	6.29855	−	6.99525i	0.210773	−	0.234087i
$894$	0.441137	+	7.88334i	0.0147538	+	0.263658i
$895$	36.3638	−	3.82199i	1.21551	−	0.127755i
$896$	34.5754	+	11.2342i	1.15508	+	0.375310i
$897$	−2.90101	−	0.436989i	−0.0968619	−	0.0145907i
$898$	51.5751	+	70.9870i	1.72108	+	2.36887i
$899$	23.5684	+	52.9354i	0.786049	+	1.76550i
$900$	−33.8885	−	45.9558i	−1.12962	−	1.53186i
$901$	11.2285	−	6.48278i	0.374076	−	0.215973i
$902$	71.9283	+	12.7032i	2.39495	+	0.422970i
$903$	0.854188	+	5.27227i	0.0284256	+	0.175450i
$904$	28.8358	−	32.0254i	0.959065	−	1.06515i
$905$	−53.6958	−	39.0123i	−1.78491	−	1.29681i
$906$	14.8569	+	14.7521i	0.493589	+	0.490107i
$907$	−3.70621	−	4.11616i	−0.123063	−	0.136675i	0.678465	−	0.734633i	$-0.262646\pi$
$907$	−3.70621	−	4.11616i	−0.123063	−	0.136675i	−0.801527	+	0.597958i	$0.795979\pi$
$908$	10.7387	−	9.66916i	0.356376	−	0.320882i
$909$	−29.7222	−	2.91133i	−0.985823	−	0.0965628i
$910$	−41.6476	+	57.8115i	−1.38060	+	1.91643i
$911$	−6.51744	+	2.11764i	−0.215932	+	0.0701607i	−0.414986	−	0.909828i	$-0.636213\pi$
$911$	−6.51744	+	2.11764i	−0.215932	+	0.0701607i	0.199053	+	0.979989i	$0.436213\pi$
$912$	−23.5742	−	28.9020i	−0.780621	−	0.957040i
$913$	−20.9543	−	17.5925i	−0.693486	−	0.582227i
$914$	13.1739	−	7.60594i	0.435753	−	0.251582i
$915$	0.749481	−	15.3397i	0.0247771	−	0.507116i
$916$	−14.2514	−	1.49788i	−0.470879	−	0.0494914i
$917$	−2.93653	−	1.30743i	−0.0969728	−	0.0431751i
$918$	55.6095	−	9.41409i	1.83539	−	0.310711i
$919$	7.96481	+	37.4715i	0.262735	+	1.23607i	0.889526	+	0.456884i	$0.151034\pi$
$919$	7.96481	+	37.4715i	0.262735	+	1.23607i	−0.626792	+	0.779187i	$0.715632\pi$
$920$	0.899391	+	8.55714i	0.0296521	+	0.282120i
$921$	−0.721842	−	12.8997i	−0.0237855	−	0.425059i
$922$	5.70719	+	17.5649i	0.187956	+	0.578470i
$923$	−10.0211	−	17.1965i	−0.329847	−	0.566031i
$924$	59.1008	−	25.3149i	1.94427	−	0.832801i
$925$	34.9551	+	20.1814i	1.14932	+	0.663559i
$926$	47.6045	+	10.1186i	1.56438	+	0.332519i
$927$	28.2428	−	25.7943i	0.927615	−	0.847196i
$928$	18.7300	+	25.7796i	0.614842	+	0.846258i
$929$	−0.651317	+	0.138442i	−0.0213690	+	0.00454213i	−0.218584	−	0.975818i	$-0.570144\pi$
$929$	−0.651317	+	0.138442i	−0.0213690	+	0.00454213i	0.197215	+	0.980360i	$0.436810\pi$
$930$	15.2877	−	98.7850i	0.501305	−	3.23929i
$931$	1.22426	−	0.889480i	0.0401236	−	0.0291515i
$932$	−6.75836	+	64.3015i	−0.221378	+	2.10627i
$933$	28.7180	+	18.5055i	0.940185	+	0.605842i
$934$	42.0481	−	72.8295i	1.37586	−	2.38305i
$935$	−20.4858	+	38.5028i	−0.669959	+	1.25918i
$936$	63.5104	+	12.7638i	2.07590	+	0.417197i
$937$	4.22459	−	1.37265i	0.138011	−	0.0448426i	−0.239197	−	0.970971i	$-0.576884\pi$
$937$	4.22459	−	1.37265i	0.138011	−	0.0448426i	0.377208	+	0.926128i	$0.376884\pi$
$938$	−42.5118	+	18.9275i	−1.38806	+	0.618004i
$939$	−38.1066	−	10.0662i	−1.24356	−	0.328498i
$940$	36.4411	−	7.74580i	1.18858	−	0.252640i
$941$	47.3854	+	15.3965i	1.54472	+	0.501910i	0.952674	−	0.303994i	$-0.0983203\pi$
$941$	47.3854	+	15.3965i	1.54472	+	0.501910i	0.592046	+	0.805904i	$0.298320\pi$
$942$	52.4354	+	52.0654i	1.70844	+	1.69638i
$943$	0.428394	−	4.07590i	0.0139504	−	0.132729i
$944$	−20.9113	−	64.3583i	−0.680604	−	2.09469i
$945$	34.3478	+	21.7907i	1.11734	+	0.708851i
$946$	−0.706322	+	10.0613i	−0.0229645	+	0.327122i
$947$	−5.00104	+	8.66206i	−0.162512	+	0.281479i	−0.935769	−	0.352614i	$-0.885293\pi$
$947$	−5.00104	+	8.66206i	−0.162512	+	0.281479i	0.773257	+	0.634093i	$0.218626\pi$
$948$	6.21363	−	127.175i	0.201809	−	4.13046i
$949$	−7.16617	−	5.16253i	−0.232624	−	0.167583i
$950$	21.8223	+	30.0359i	0.708010	+	0.974492i
$951$	−21.0569	+	8.16862i	−0.682816	+	0.264886i
$952$	−48.9850	+	44.1063i	−1.58761	+	1.42949i
$953$	−18.6688	−	8.31191i	−0.604743	−	0.269249i	0.0814394	−	0.996678i	$-0.474048\pi$
$953$	−18.6688	−	8.31191i	−0.604743	−	0.269249i	−0.686183	+	0.727429i	$0.740715\pi$
$954$	−4.90585	−	22.3026i	−0.158833	−	0.722074i
$955$	−0.119432	−	0.107537i	−0.00386474	−	0.00347983i
$956$	−74.6826	+	43.1180i	−2.41541	+	1.39454i
$957$	−43.4191	−	9.87482i	−1.40354	−	0.319208i
$958$	−8.45617	−	14.6465i	−0.273206	−	0.473207i
$959$	−2.88315	−	0.612833i	−0.0931019	−	0.0197894i
$960$	0.701170	+	12.5303i	0.0226302	+	0.404413i
$961$	20.1311	−	14.6261i	0.649390	−	0.471810i
$962$	−82.4796	+	17.8793i	−2.65925	+	0.576452i
$963$	39.7560	−	23.3300i	1.28112	−	0.751798i
$964$	−6.49856	−	61.8297i	−0.209305	−	1.99140i
$965$	43.1815	−	19.2257i	1.39006	−	0.618896i
$966$	−2.40350	−	4.67614i	−0.0773313	−	0.150452i
$967$	0.902874			0.0290345			0.0145172	−	0.999895i	$-0.495379\pi$
$967$	0.902874			0.0290345			0.0145172	+	0.999895i	$0.495379\pi$
$968$	64.8837	−	11.4042i	2.08544	−	0.366544i
$969$	−24.8385	+	4.02422i	−0.797928	+	0.129277i
$970$	−27.2154	−	83.7605i	−0.873835	−	2.68939i
$971$	−38.2146	−	4.01652i	−1.22637	−	0.128896i	−0.530887	−	0.847443i	$-0.678141\pi$
$971$	−38.2146	−	4.01652i	−1.22637	−	0.128896i	−0.695479	+	0.718546i	$0.744808\pi$
$972$	9.46938	−	67.4987i	0.303731	−	2.16502i
$973$	11.5949	−	10.4401i	0.371714	−	0.334693i
$974$	6.42844	−	19.7847i	0.205981	−	0.633943i
$975$	−26.3106	−	6.83687i	−0.842614	−	0.218955i
$976$	10.8615	−	14.9496i	0.347669	−	0.478525i
$977$	26.1501	+	5.55837i	0.836615	+	0.177828i	0.606248	−	0.795276i	$-0.292674\pi$
$977$	26.1501	+	5.55837i	0.836615	+	0.177828i	0.230367	+	0.973104i	$0.426007\pi$
$978$	−34.7365	−	42.5868i	−1.11075	−	1.36178i
$979$	−10.8098	+	8.44077i	−0.345482	+	0.269768i
$980$	5.98929			0.191321
$981$	9.47683	−	1.06394i	0.302572	−	0.0339690i
$982$	−52.0704	−	5.47282i	−1.66163	−	0.174645i
$983$	26.4343	−	19.2057i	0.843125	−	0.612566i	−0.0801170	−	0.996785i	$-0.525529\pi$
$983$	26.4343	−	19.2057i	0.843125	−	0.612566i	0.923242	+	0.384219i	$0.125529\pi$
$984$	−13.8402	+	89.4316i	−0.441210	+	2.85097i
$985$	−50.2171	+	45.2156i	−1.60005	+	1.44069i
$986$	83.6743	−	8.79452i	2.66473	−	0.280075i
$987$	−10.3354	+	6.76403i	−0.328980	+	0.215301i
$988$	−52.1448	−	10.8643i	−1.65895	−	0.345638i
$989$	0.565929			0.0179955
$990$	53.7350	+	54.8916i	1.70781	+	1.74457i
$991$	−23.6989	+	41.0476i	−0.752819	+	1.30392i	0.193632	+	0.981074i	$0.437973\pi$
$991$	−23.6989	+	41.0476i	−0.752819	+	1.30392i	−0.946451	+	0.322847i	$0.895360\pi$
$992$	20.5635	−	22.8380i	0.652891	−	0.725109i
$993$	14.9075	+	22.7787i	0.473077	+	0.722859i
$994$	14.5081	−	32.5858i	0.460170	−	1.03356i
$995$	18.7884	−	3.99360i	0.595633	−	0.126606i
$996$	39.1448	−	48.6912i	1.24035	−	1.54284i
$997$	13.6803	−	30.7264i	0.433259	−	0.973115i	−0.556563	−	0.830805i	$-0.687880\pi$
$997$	13.6803	−	30.7264i	0.433259	−	0.973115i	0.989822	−	0.142310i	$-0.0454530\pi$
$998$	−72.0386	+	32.0737i	−2.28034	+	1.01527i
$999$	12.9636	+	46.4041i	0.410152	+	1.46816i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	429.2.bm.a.17.4	✓	416
3.2	odd	2	inner	429.2.bm.a.17.49	yes	416
11.2	odd	10	inner	429.2.bm.a.134.4	yes	416
13.10	even	6	inner	429.2.bm.a.413.49	yes	416
33.2	even	10	inner	429.2.bm.a.134.49	yes	416
39.23	odd	6	inner	429.2.bm.a.413.4	yes	416
143.101	odd	30	inner	429.2.bm.a.101.49	yes	416
429.101	even	30	inner	429.2.bm.a.101.4	yes	416

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
429.2.bm.a.17.4	✓	416	1.1	even	1	trivial
429.2.bm.a.17.49	yes	416	3.2	odd	2	inner
429.2.bm.a.101.4	yes	416	429.101	even	30	inner
429.2.bm.a.101.49	yes	416	143.101	odd	30	inner
429.2.bm.a.134.4	yes	416	11.2	odd	10	inner
429.2.bm.a.134.49	yes	416	33.2	even	10	inner
429.2.bm.a.413.4	yes	416	39.23	odd	6	inner
429.2.bm.a.413.49	yes	416	13.10	even	6	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 429 = 3 \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	429.bm (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.524846 + 2.46921i) q^{2} +(0.0967708 + 1.72935i) q^{3} +(-3.99443 - 1.77843i) q^{4} +(0.945056 - 2.90858i) q^{5} +(-4.32090 - 0.668693i) q^{6} +(-2.33841 - 1.04113i) q^{7} +(3.52021 - 4.84515i) q^{8} +(-2.98127 + 0.334700i) q^{9} +O(q^{10})\)	\(q+(-0.524846 + 2.46921i) q^{2} +(0.0967708 + 1.72935i) q^{3} +(-3.99443 - 1.77843i) q^{4} +(0.945056 - 2.90858i) q^{5} +(-4.32090 - 0.668693i) q^{6} +(-2.33841 - 1.04113i) q^{7} +(3.52021 - 4.84515i) q^{8} +(-2.98127 + 0.334700i) q^{9} +(6.68589 + 3.86010i) q^{10} +(-3.07478 - 1.24327i) q^{11} +(2.68898 - 7.07985i) q^{12} +(-1.12799 - 3.42456i) q^{13} +(3.79806 - 5.22759i) q^{14} +(5.12140 + 1.35286i) q^{15} +(4.26464 + 4.73637i) q^{16} +(4.20585 - 0.893981i) q^{17} +(0.738264 - 7.53704i) q^{18} +(-0.353164 + 3.36013i) q^{19} +(-8.94769 + 9.93741i) q^{20} +(1.57418 - 4.14467i) q^{21} +(4.68368 - 6.93975i) q^{22} +(-0.406836 - 0.234887i) q^{23} +(8.71960 + 5.61879i) q^{24} +(-3.52164 - 2.55862i) q^{25} +(9.04798 - 0.987865i) q^{26} +(-0.867313 - 5.12326i) q^{27} +(7.48904 + 8.31742i) q^{28} +(-0.810232 - 7.70884i) q^{29} +(-6.02844 + 11.9358i) q^{30} +(-7.10964 + 2.31006i) q^{31} +(-3.56020 + 2.05548i) q^{32} +(1.85250 - 5.43767i) q^{33} +10.8543i q^{34} +(-5.23813 + 5.81754i) q^{35} +(12.5037 + 3.96506i) q^{36} +(-9.22162 + 0.969231i) q^{37} +(-8.11150 - 2.63559i) q^{38} +(5.81310 - 2.28208i) q^{39} +(-10.7657 - 14.8178i) q^{40} +(3.54840 + 7.96984i) q^{41} +(9.40784 + 6.06229i) q^{42} +(-1.04329 + 0.602342i) q^{43} +(10.0709 + 10.4345i) q^{44} +(-1.84396 + 8.98759i) q^{45} +(0.793511 - 0.881283i) q^{46} +(-2.25396 - 1.63759i) q^{47} +(-7.77812 + 7.83338i) q^{48} +(-0.299700 - 0.332850i) q^{49} +(8.16609 - 7.35278i) q^{50} +(1.95301 + 7.18686i) q^{51} +(-1.58470 + 15.6852i) q^{52} +(2.86780 - 0.931804i) q^{53} +(13.1056 + 0.547348i) q^{54} +(-6.52200 + 7.76830i) q^{55} +(-13.2761 + 7.66497i) q^{56} +(-5.84500 - 0.285580i) q^{57} +(19.4600 + 2.04533i) q^{58} +(-9.69967 - 4.31857i) q^{59} +(-18.0511 - 14.5120i) q^{60} +(-0.602808 - 2.83599i) q^{61} +(-1.97256 - 18.7676i) q^{62} +(7.31990 + 2.32122i) q^{63} +(0.732126 + 2.25325i) q^{64} +(-11.0266 + 0.0444401i) q^{65} +(12.4545 + 7.42814i) q^{66} +(-6.23687 - 3.60086i) q^{67} +(-18.3899 - 3.90889i) q^{68} +(0.366831 - 0.726291i) q^{69} +(-11.6155 - 15.9873i) q^{70} +(5.39956 - 1.14771i) q^{71} +(-8.87303 + 15.6229i) q^{72} +(1.98175 - 1.43983i) q^{73} +(2.44670 - 23.2788i) q^{74} +(4.08395 - 6.33774i) q^{75} +(7.38646 - 12.7937i) q^{76} +(5.89570 + 6.10851i) q^{77} +(2.58394 + 15.5515i) q^{78} +(15.9897 - 5.19538i) q^{79} +(17.8064 - 7.92794i) q^{80} +(8.77595 - 1.99567i) q^{81} +(-21.5416 + 4.57880i) q^{82} +(7.84565 + 2.54920i) q^{83} +(-13.6590 + 13.7560i) q^{84} +(1.37455 - 13.0779i) q^{85} +(-0.939742 - 2.89223i) q^{86} +(13.2528 - 2.14716i) q^{87} +(-16.8477 + 10.5212i) q^{88} +(2.06760 - 3.58118i) q^{89} +(-21.2244 - 9.27023i) q^{90} +(-0.927710 + 9.18241i) q^{91} +(1.20735 + 1.66177i) q^{92} +(-4.68290 - 12.0715i) q^{93} +(5.22654 - 4.70600i) q^{94} +(9.43946 + 4.20272i) q^{95} +(-3.89916 - 5.95791i) q^{96} +(-8.47770 - 7.63336i) q^{97} +(0.979173 - 0.565326i) q^{98} +(9.58288 + 2.67740i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 416 q - 3 q^{3} - 54 q^{4} - 15 q^{6} - 30 q^{7} - 9 q^{9}+O(q^{10}) \) 416 * q - 3 * q^3 - 54 * q^4 - 15 * q^6 - 30 * q^7 - 9 * q^9	\( 416 q - 3 q^{3} - 54 q^{4} - 15 q^{6} - 30 q^{7} - 9 q^{9} - 36 q^{12} - 20 q^{13} - 9 q^{15} + 14 q^{16} - 30 q^{19} - 28 q^{22} + 15 q^{24} - 84 q^{25} - 24 q^{27} - 30 q^{28} - 5 q^{30} - 27 q^{33} - 73 q^{36} - 18 q^{37} - 65 q^{39} - 120 q^{40} - 25 q^{42} + 36 q^{45} + 30 q^{46} - 41 q^{48} + 14 q^{49} + 60 q^{51} + 20 q^{52} + 18 q^{55} - 126 q^{58} - 30 q^{61} + 105 q^{63} - 56 q^{64} + 170 q^{66} - 33 q^{69} - 195 q^{72} + 77 q^{75} + 4 q^{78} - 13 q^{81} + 36 q^{82} - 60 q^{84} - 30 q^{85} + 38 q^{88} - 190 q^{90} - 56 q^{91} + 24 q^{93} - 90 q^{94} + 54 q^{97}+O(q^{100}) \) 416 * q - 3 * q^3 - 54 * q^4 - 15 * q^6 - 30 * q^7 - 9 * q^9 - 36 * q^12 - 20 * q^13 - 9 * q^15 + 14 * q^16 - 30 * q^19 - 28 * q^22 + 15 * q^24 - 84 * q^25 - 24 * q^27 - 30 * q^28 - 5 * q^30 - 27 * q^33 - 73 * q^36 - 18 * q^37 - 65 * q^39 - 120 * q^40 - 25 * q^42 + 36 * q^45 + 30 * q^46 - 41 * q^48 + 14 * q^49 + 60 * q^51 + 20 * q^52 + 18 * q^55 - 126 * q^58 - 30 * q^61 + 105 * q^63 - 56 * q^64 + 170 * q^66 - 33 * q^69 - 195 * q^72 + 77 * q^75 + 4 * q^78 - 13 * q^81 + 36 * q^82 - 60 * q^84 - 30 * q^85 + 38 * q^88 - 190 * q^90 - 56 * q^91 + 24 * q^93 - 90 * q^94 + 54 * q^97

Introduction

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