LMFDB - Embedded newform 95.2.p.a.44.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [95,2,Mod(4,95)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(95, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 2]))

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

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

chi := DirichletCharacter("95.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 95 = 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	95.p (of order $18$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.758578819202$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$8$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			44.4
Character	$\chi$	$=$	95.44
Dual form			95.2.p.a.54.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.288852 - 0.344240i) q^{2} +(-0.669279 + 1.83883i) q^{3} +(0.312230 - 1.77075i) q^{4} +(1.52197 + 1.63818i) q^{5} +(0.826320 - 0.300756i) q^{6} +(1.78470 + 1.03040i) q^{7} +(-1.47809 + 0.853374i) q^{8} +(-0.635222 - 0.533015i) q^{9} +O(q^{10})$	\(q+(-0.288852 - 0.344240i) q^{2} +(-0.669279 + 1.83883i) q^{3} +(0.312230 - 1.77075i) q^{4} +(1.52197 + 1.63818i) q^{5} +(0.826320 - 0.300756i) q^{6} +(1.78470 + 1.03040i) q^{7} +(-1.47809 + 0.853374i) q^{8} +(-0.635222 - 0.533015i) q^{9} +(0.124303 - 0.997111i) q^{10} +(1.15299 + 1.99705i) q^{11} +(3.04713 + 1.75926i) q^{12} +(-1.50356 - 4.13099i) q^{13} +(-0.160809 - 0.911996i) q^{14} +(-4.03094 + 1.70224i) q^{15} +(-2.65854 - 0.967630i) q^{16} +(-3.51724 - 4.19168i) q^{17} +0.372631i q^{18} +(-3.07246 - 3.09192i) q^{19} +(3.37600 - 2.18353i) q^{20} +(-3.08918 + 2.59213i) q^{21} +(0.354418 - 0.973756i) q^{22} +(5.72917 + 1.01021i) q^{23} +(-0.579956 - 3.28909i) q^{24} +(-0.367241 + 4.98650i) q^{25} +(-0.987746 + 1.71083i) q^{26} +(-3.67876 + 2.12393i) q^{27} +(2.38181 - 2.83853i) q^{28} +(-4.21681 - 3.53833i) q^{29} +(1.75032 + 0.895918i) q^{30} +(-0.378916 + 0.656302i) q^{31} +(1.60231 + 4.40231i) q^{32} +(-4.44390 + 0.783579i) q^{33} +(-0.426984 + 2.42155i) q^{34} +(1.02828 + 4.49188i) q^{35} +(-1.14217 + 0.958394i) q^{36} -6.22555i q^{37} +(-0.176878 + 1.95077i) q^{38} +8.60248 q^{39} +(-3.64758 - 1.12256i) q^{40} +(6.14398 + 2.23623i) q^{41} +(1.78463 + 0.314678i) q^{42} +(3.11869 - 0.549909i) q^{43} +(3.89626 - 1.41812i) q^{44} +(-0.0936145 - 1.85184i) q^{45} +(-1.30713 - 2.26401i) q^{46} +(-4.08888 + 4.87293i) q^{47} +(3.55861 - 4.24099i) q^{48} +(-1.37657 - 2.38429i) q^{49} +(1.82263 - 1.31394i) q^{50} +(10.0618 - 3.66220i) q^{51} +(-7.78439 + 1.37260i) q^{52} +(3.79178 + 0.668594i) q^{53} +(1.79376 + 0.652874i) q^{54} +(-1.51669 + 4.92824i) q^{55} -3.51725 q^{56} +(7.74185 - 3.58037i) q^{57} +2.47365i q^{58} +(-1.95359 + 1.63926i) q^{59} +(1.75565 + 7.66927i) q^{60} +(1.72608 - 9.78909i) q^{61} +(0.335376 - 0.0591358i) q^{62} +(-0.584464 - 1.60580i) q^{63} +(-1.77654 + 3.07705i) q^{64} +(4.47892 - 8.75031i) q^{65} +(1.55337 + 1.30343i) q^{66} +(-1.09447 + 1.30434i) q^{67} +(-8.52060 + 4.91937i) q^{68} +(-5.69201 + 9.85885i) q^{69} +(1.24926 - 1.65146i) q^{70} +(1.71201 + 9.70931i) q^{71} +(1.39377 + 0.245760i) q^{72} +(-3.49431 + 9.60054i) q^{73} +(-2.14308 + 1.79826i) q^{74} +(-8.92352 - 4.01265i) q^{75} +(-6.43433 + 4.47516i) q^{76} +4.75216i q^{77} +(-2.48484 - 2.96132i) q^{78} +(2.26642 + 0.824910i) q^{79} +(-2.46106 - 5.82786i) q^{80} +(-1.87541 - 10.6360i) q^{81} +(-1.00490 - 2.76094i) q^{82} +(-6.11633 - 3.53126i) q^{83} +(3.62547 + 6.27950i) q^{84} +(1.51360 - 12.1415i) q^{85} +(-1.09014 - 0.914734i) q^{86} +(9.32860 - 5.38587i) q^{87} +(-3.40845 - 1.96787i) q^{88} +(-2.19373 + 0.798452i) q^{89} +(-0.610435 + 0.567131i) q^{90} +(1.57316 - 8.92183i) q^{91} +(3.57764 - 9.82950i) q^{92} +(-0.953226 - 1.13601i) q^{93} +2.85854 q^{94} +(0.388935 - 9.73903i) q^{95} -9.16749 q^{96} +(4.38085 + 5.22089i) q^{97} +(-0.423142 + 1.16257i) q^{98} +(0.332047 - 1.88313i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q - 18 q^{4} - 6 q^{5} - 6 q^{6} - 12 q^{9}+O(q^{10}) $ 48 * q - 18 * q^4 - 6 * q^5 - 6 * q^6 - 12 * q^9	$ 48 q - 18 q^{4} - 6 q^{5} - 6 q^{6} - 12 q^{9} - 15 q^{10} - 12 q^{11} + 6 q^{14} + 3 q^{15} - 42 q^{16} + 12 q^{19} + 42 q^{20} - 54 q^{21} + 24 q^{24} + 12 q^{25} + 12 q^{26} + 18 q^{30} - 42 q^{31} - 36 q^{34} + 6 q^{35} + 18 q^{36} - 48 q^{39} + 66 q^{40} + 6 q^{41} - 6 q^{44} - 9 q^{45} - 6 q^{46} + 12 q^{49} - 18 q^{50} + 108 q^{51} + 24 q^{54} + 36 q^{56} - 36 q^{59} - 114 q^{60} + 48 q^{61} - 18 q^{65} + 180 q^{66} + 66 q^{69} - 123 q^{70} - 24 q^{71} + 84 q^{74} + 72 q^{75} + 66 q^{76} + 48 q^{79} - 39 q^{80} - 78 q^{81} - 54 q^{84} - 84 q^{85} - 42 q^{86} - 12 q^{89} + 18 q^{90} - 30 q^{91} - 72 q^{94} - 63 q^{95} - 240 q^{96} - 36 q^{99}+O(q^{100}) $ 48 * q - 18 * q^4 - 6 * q^5 - 6 * q^6 - 12 * q^9 - 15 * q^10 - 12 * q^11 + 6 * q^14 + 3 * q^15 - 42 * q^16 + 12 * q^19 + 42 * q^20 - 54 * q^21 + 24 * q^24 + 12 * q^25 + 12 * q^26 + 18 * q^30 - 42 * q^31 - 36 * q^34 + 6 * q^35 + 18 * q^36 - 48 * q^39 + 66 * q^40 + 6 * q^41 - 6 * q^44 - 9 * q^45 - 6 * q^46 + 12 * q^49 - 18 * q^50 + 108 * q^51 + 24 * q^54 + 36 * q^56 - 36 * q^59 - 114 * q^60 + 48 * q^61 - 18 * q^65 + 180 * q^66 + 66 * q^69 - 123 * q^70 - 24 * q^71 + 84 * q^74 + 72 * q^75 + 66 * q^76 + 48 * q^79 - 39 * q^80 - 78 * q^81 - 54 * q^84 - 84 * q^85 - 42 * q^86 - 12 * q^89 + 18 * q^90 - 30 * q^91 - 72 * q^94 - 63 * q^95 - 240 * q^96 - 36 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{7}{9}\right)$	$-1$

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 $

$2$	−0.288852	−	0.344240i	−0.204249	−	0.243414i	0.654190	−	0.756330i	$-0.273010\pi$
$2$	−0.288852	−	0.344240i	−0.204249	−	0.243414i	−0.858439	+	0.512916i	$0.828565\pi$
$3$	−0.669279	+	1.83883i	−0.386408	+	1.06165i	0.582198	+	0.813047i	$0.302193\pi$
$3$	−0.669279	+	1.83883i	−0.386408	+	1.06165i	−0.968606	+	0.248601i	$0.920029\pi$
$4$	0.312230	−	1.77075i	0.156115	−	0.885374i
$5$	1.52197	+	1.63818i	0.680644	+	0.732615i
$5$	1.52197	+	1.63818i	0.680644	+	0.732615i
$6$	0.826320	−	0.300756i	0.337344	−	0.122783i
$7$	1.78470	+	1.03040i	0.674553	+	0.389453i	0.797799	−	0.602923i	$-0.205997\pi$
$7$	1.78470	+	1.03040i	0.674553	+	0.389453i	−0.123247	+	0.992376i	$0.539331\pi$
$8$	−1.47809	+	0.853374i	−0.522583	+	0.301713i
$9$	−0.635222	−	0.533015i	−0.211741	−	0.177672i
$10$	0.124303	−	0.997111i	0.0393082	−	0.315314i
$11$	1.15299	+	1.99705i	0.347641	+	0.602132i	0.985830	−	0.167748i	$-0.0536495\pi$
$11$	1.15299	+	1.99705i	0.347641	+	0.602132i	−0.638189	+	0.769880i	$0.720316\pi$
$12$	3.04713	+	1.75926i	0.879631	+	0.507855i
$13$	−1.50356	−	4.13099i	−0.417012	−	1.14573i	−0.953387	−	0.301750i	$-0.902429\pi$
$13$	−1.50356	−	4.13099i	−0.417012	−	1.14573i	0.536375	−	0.843979i	$-0.319793\pi$
$14$	−0.160809	−	0.911996i	−0.0429781	−	0.243741i
$15$	−4.03094	+	1.70224i	−1.04079	+	0.439516i
$16$	−2.65854	−	0.967630i	−0.664635	−	0.241907i
$17$	−3.51724	−	4.19168i	−0.853056	−	1.01663i	−0.999624	−	0.0274318i	$-0.991267\pi$
$17$	−3.51724	−	4.19168i	−0.853056	−	1.01663i	0.146568	−	0.989201i	$-0.453177\pi$
$18$			0.372631i			0.0878299i
$19$	−3.07246	−	3.09192i	−0.704871	−	0.709336i
$19$	−3.07246	−	3.09192i	−0.704871	−	0.709336i
$20$	3.37600	−	2.18353i	0.754896	−	0.488252i
$21$	−3.08918	+	2.59213i	−0.674115	+	0.565650i
$22$	0.354418	−	0.973756i	0.0755622	−	0.207606i
$23$	5.72917	+	1.01021i	1.19461	+	0.210643i	0.735369	−	0.677667i	$-0.237009\pi$
$23$	5.72917	+	1.01021i	1.19461	+	0.210643i	0.459245	+	0.888309i	$0.348120\pi$
$24$	−0.579956	−	3.28909i	−0.118383	−	0.671383i
$25$	−0.367241	+	4.98650i	−0.0734481	+	0.997299i
$26$	−0.987746	+	1.71083i	−0.193713	+	0.335521i
$27$	−3.67876	+	2.12393i	−0.707977	+	0.408751i
$28$	2.38181	−	2.83853i	0.450119	−	0.536431i
$29$	−4.21681	−	3.53833i	−0.783042	−	0.657051i	0.160970	−	0.986959i	$-0.448538\pi$
$29$	−4.21681	−	3.53833i	−0.783042	−	0.657051i	−0.944013	+	0.329909i	$0.892982\pi$
$30$	1.75032	+	0.895918i	0.319564	+	0.163571i
$31$	−0.378916	+	0.656302i	−0.0680553	+	0.117875i	−0.898045	−	0.439903i	$-0.855013\pi$
$31$	−0.378916	+	0.656302i	−0.0680553	+	0.117875i	0.829990	+	0.557778i	$0.188346\pi$
$32$	1.60231	+	4.40231i	0.283251	+	0.778227i
$33$	−4.44390	+	0.783579i	−0.773583	+	0.136404i
$34$	−0.426984	+	2.42155i	−0.0732272	+	0.415292i
$35$	1.02828	+	4.49188i	0.173811	+	0.759266i
$36$	−1.14217	+	0.958394i	−0.190362	+	0.159732i
$37$		−	6.22555i		−	1.02347i	−0.859142	−	0.511737i	$-0.829002\pi$
$37$		−	6.22555i		−	1.02347i	0.859142	−	0.511737i	$-0.170998\pi$
$38$	−0.176878	+	1.95077i	−0.0286935	+	0.316457i
$39$	8.60248			1.37750
$40$	−3.64758	−	1.12256i	−0.576732	−	0.177492i
$41$	6.14398	+	2.23623i	0.959529	+	0.349240i	0.773849	−	0.633370i	$-0.218329\pi$
$41$	6.14398	+	2.23623i	0.959529	+	0.349240i	0.185680	+	0.982610i	$0.440551\pi$
$42$	1.78463	+	0.314678i	0.275374	+	0.0485559i
$43$	3.11869	−	0.549909i	0.475595	−	0.0838603i	0.0692878	−	0.997597i	$-0.477927\pi$
$43$	3.11869	−	0.549909i	0.475595	−	0.0838603i	0.406307	+	0.913736i	$0.366816\pi$
$44$	3.89626	−	1.41812i	0.587384	−	0.213790i
$45$	−0.0936145	−	1.85184i	−0.0139552	−	0.276055i
$46$	−1.30713	−	2.26401i	−0.192725	−	0.333810i
$47$	−4.08888	+	4.87293i	−0.596424	+	0.710790i	−0.976827	−	0.214030i	$-0.931341\pi$
$47$	−4.08888	+	4.87293i	−0.596424	+	0.710790i	0.380403	+	0.924821i	$0.375785\pi$
$48$	3.55861	−	4.24099i	0.513641	−	0.612134i
$49$	−1.37657	−	2.38429i	−0.196653	−	0.340612i
$50$	1.82263	−	1.31394i	0.257759	−	0.185819i
$51$	10.0618	−	3.66220i	1.40893	−	0.512810i
$52$	−7.78439	+	1.37260i	−1.07950	+	0.190345i
$53$	3.79178	+	0.668594i	0.520842	+	0.0918384i	0.427888	−	0.903832i	$-0.359258\pi$
$53$	3.79178	+	0.668594i	0.520842	+	0.0918384i	0.0929540	+	0.995670i	$0.470369\pi$
$54$	1.79376	+	0.652874i	0.244099	+	0.0888449i
$55$	−1.51669	+	4.92824i	−0.204511	+	0.664524i
$56$	−3.51725			−0.470013
$57$	7.74185	−	3.58037i	1.02543	−	0.474231i
$58$			2.47365i			0.324806i
$59$	−1.95359	+	1.63926i	−0.254336	+	0.213413i	−0.761037	−	0.648709i	$-0.775309\pi$
$59$	−1.95359	+	1.63926i	−0.254336	+	0.213413i	0.506701	+	0.862122i	$0.330865\pi$
$60$	1.75565	+	7.66927i	0.226653	+	0.990099i
$61$	1.72608	−	9.78909i	0.221002	−	1.25336i	−0.649180	−	0.760634i	$-0.724888\pi$
$61$	1.72608	−	9.78909i	0.221002	−	1.25336i	0.870182	−	0.492730i	$-0.164001\pi$
$62$	0.335376	−	0.0591358i	0.0425928	−	0.00751025i
$63$	−0.584464	−	1.60580i	−0.0736355	−	0.202312i
$64$	−1.77654	+	3.07705i	−0.222067	+	0.384632i
$65$	4.47892	−	8.75031i	0.555542	−	1.08534i
$66$	1.55337	+	1.30343i	0.191206	+	0.160441i
$67$	−1.09447	+	1.30434i	−0.133711	+	0.159350i	−0.828745	−	0.559626i	$-0.810945\pi$
$67$	−1.09447	+	1.30434i	−0.133711	+	0.159350i	0.695034	+	0.718977i	$0.255389\pi$
$68$	−8.52060	+	4.91937i	−1.03327	+	0.596561i
$69$	−5.69201	+	9.85885i	−0.685238	+	1.18687i
$70$	1.24926	−	1.65146i	0.149316	−	0.197387i
$71$	1.71201	+	9.70931i	0.203179	+	1.15228i	0.900280	+	0.435310i	$0.143361\pi$
$71$	1.71201	+	9.70931i	0.203179	+	1.15228i	−0.697102	+	0.716972i	$0.745527\pi$
$72$	1.39377	+	0.245760i	0.164258	+	0.0289631i
$73$	−3.49431	+	9.60054i	−0.408978	+	1.12366i	0.548751	+	0.835986i	$0.315104\pi$
$73$	−3.49431	+	9.60054i	−0.408978	+	1.12366i	−0.957729	+	0.287672i	$0.907119\pi$
$74$	−2.14308	+	1.79826i	−0.249128	+	0.209044i
$75$	−8.92352	−	4.01265i	−1.03040	−	0.463341i
$76$	−6.43433	+	4.47516i	−0.738068	+	0.513336i
$77$			4.75216i			0.541559i
$78$	−2.48484	−	2.96132i	−0.281353	−	0.335303i
$79$	2.26642	+	0.824910i	0.254992	+	0.0928096i	0.466354	−	0.884598i	$-0.345567\pi$
$79$	2.26642	+	0.824910i	0.254992	+	0.0928096i	−0.211361	+	0.977408i	$0.567790\pi$
$80$	−2.46106	−	5.82786i	−0.275155	−	0.651574i
$81$	−1.87541	−	10.6360i	−0.208379	−	1.18178i
$82$	−1.00490	−	2.76094i	−0.110973	−	0.304895i
$83$	−6.11633	−	3.53126i	−0.671354	−	0.387607i	0.125235	−	0.992127i	$-0.460031\pi$
$83$	−6.11633	−	3.53126i	−0.671354	−	0.387607i	−0.796590	+	0.604521i	$0.793365\pi$
$84$	3.62547	+	6.27950i	0.395572	+	0.685150i
$85$	1.51360	−	12.1415i	0.164173	−	1.31693i
$86$	−1.09014	−	0.914734i	−0.117553	−	0.0986383i
$87$	9.32860	−	5.38587i	1.00013	−	0.577426i
$88$	−3.40845	−	1.96787i	−0.363342	−	0.209776i
$89$	−2.19373	+	0.798452i	−0.232535	+	0.0846357i	−0.455659	−	0.890154i	$-0.650596\pi$
$89$	−2.19373	+	0.798452i	−0.232535	+	0.0846357i	0.223125	+	0.974790i	$0.428374\pi$
$90$	−0.610435	+	0.567131i	−0.0643455	+	0.0597809i
$91$	1.57316	−	8.92183i	0.164912	−	0.935261i
$92$	3.57764	−	9.82950i	0.372995	−	1.02480i
$93$	−0.953226	−	1.13601i	−0.0988449	−	0.117799i
$94$	2.85854			0.294836
$95$	0.388935	−	9.73903i	0.0399039	−	0.999204i
$96$	−9.16749			−0.935653
$97$	4.38085	+	5.22089i	0.444808	+	0.530101i	0.941133	−	0.338035i	$-0.109762\pi$
$97$	4.38085	+	5.22089i	0.444808	+	0.530101i	−0.496326	+	0.868136i	$0.665318\pi$
$98$	−0.423142	+	1.16257i	−0.0427438	+	0.117438i
$99$	0.332047	−	1.88313i	0.0333719	−	0.189262i
$100$	8.71516	+	2.20723i	0.871516	+	0.220723i
$101$	−11.4619	+	4.17181i	−1.14051	+	0.415110i	−0.842096	−	0.539327i	$-0.818679\pi$
$101$	−11.4619	+	4.17181i	−1.14051	+	0.415110i	−0.298410	+	0.954438i	$0.596456\pi$
$102$	−4.16704	−	2.40584i	−0.412598	−	0.238214i
$103$	11.1888	−	6.45986i	1.10247	−	0.636509i	0.165598	−	0.986193i	$-0.447045\pi$
$103$	11.1888	−	6.45986i	1.10247	−	0.636509i	0.936868	+	0.349684i	$0.113711\pi$
$104$	5.74767	+	4.82286i	0.563605	+	0.472921i
$105$	−8.94800	−	1.11549i	−0.873235	−	0.108861i
$106$	−0.865106	−	1.49841i	−0.0840265	−	0.145538i
$107$	−13.1402	−	7.58647i	−1.27031	−	0.733412i	−0.295261	−	0.955417i	$-0.595407\pi$
$107$	−13.1402	−	7.58647i	−1.27031	−	0.733412i	−0.975046	+	0.222005i	$0.928740\pi$
$108$	2.61233	+	7.17730i	0.251371	+	0.690636i
$109$	3.33047	+	18.8880i	0.319001	+	1.80914i	0.548853	+	0.835919i	$0.315065\pi$
$109$	3.33047	+	18.8880i	0.319001	+	1.80914i	−0.229852	+	0.973226i	$0.573824\pi$
$110$	2.13460	−	0.901424i	0.203526	−	0.0859474i
$111$	11.4477	+	4.16663i	1.08657	+	0.395479i
$112$	−3.74765	−	4.46628i	−0.354120	−	0.422024i
$113$		−	1.91146i		−	0.179815i	−0.995950	−	0.0899075i	$-0.971343\pi$
$113$		−	1.91146i		−	0.179815i	0.995950	−	0.0899075i	$-0.0286571\pi$
$114$	−3.46875	−	1.63086i	−0.324878	−	0.152744i
$115$	7.06470	+	10.9229i	0.658787	+	1.01856i
$116$	−7.58210	+	6.36214i	−0.703980	+	0.590709i
$117$	−1.24678	+	3.42551i	−0.115265	+	0.316689i
$118$	1.12860	+	0.199002i	0.103896	+	0.0183196i
$119$	−1.95812	−	11.1050i	−0.179500	−	1.01800i
$120$	4.50544	−	5.95596i	0.411289	−	0.543702i
$121$	2.84121	−	4.92111i	0.258292	−	0.447374i
$122$	−3.86838	+	2.23341i	−0.350226	+	0.202203i
$123$	−8.22407	+	9.80107i	−0.741540	+	0.883732i
$124$	1.04384	+	0.875882i	0.0937392	+	0.0786565i
$125$	−8.72768	+	6.98767i	−0.780628	+	0.624996i
$126$	−0.383957	+	0.665034i	−0.0342056	+	0.0592459i
$127$	7.26311	+	19.9552i	0.644496	+	1.77074i	0.637117	+	0.770767i	$0.280127\pi$
$127$	7.26311	+	19.9552i	0.644496	+	1.77074i	0.00737897	+	0.999973i	$0.497651\pi$
$128$	10.7997	−	1.90429i	0.954572	−	0.168317i
$129$	−1.07608	+	6.10277i	−0.0947438	+	0.537319i
$130$	−4.30595	+	0.985717i	−0.377657	+	0.0864531i
$131$	−1.28137	+	1.07520i	−0.111954	+	0.0939406i	−0.697046	−	0.717026i	$-0.745503\pi$
$131$	−1.28137	+	1.07520i	−0.111954	+	0.0939406i	0.585092	+	0.810967i	$0.301058\pi$
$132$			8.11368i			0.706205i
$133$	−2.29751	−	8.68400i	−0.199219	−	0.752998i
$134$	0.765145			0.0660984
$135$	−9.07832	−	2.79390i	−0.781337	−	0.240461i
$136$	8.77586	+	3.19415i	0.752524	+	0.273896i
$137$	17.0253	+	3.00203i	1.45457	+	0.256480i	0.844368	−	0.535763i	$-0.179976\pi$
$137$	17.0253	+	3.00203i	1.45457	+	0.256480i	0.610205	+	0.792244i	$0.291087\pi$
$138$	5.03796	−	0.888328i	0.428859	−	0.0756195i
$139$	11.5832	−	4.21592i	0.982470	−	0.357590i	0.199670	−	0.979863i	$-0.436013\pi$
$139$	11.5832	−	4.21592i	0.982470	−	0.357590i	0.782800	+	0.622273i	$0.213791\pi$
$140$	8.27504	−	0.418322i	0.699368	−	0.0353547i
$141$	−6.22389	−	10.7801i	−0.524146	−	0.907848i
$142$	2.84781	−	3.39389i	0.238983	−	0.284809i
$143$	6.51618	−	7.76568i	0.544910	−	0.649398i
$144$	1.17300	+	2.03170i	0.0977503	+	0.169308i
$145$	−0.621444	−	12.2931i	−0.0516081	−	1.02089i
$146$	4.31423	−	1.57025i	0.357048	−	0.129955i
$147$	5.30560	−	0.935520i	0.437598	−	0.0771604i
$148$	−11.0239	−	1.94381i	−0.906157	−	0.159780i
$149$	4.09613	+	1.49087i	0.335568	+	0.122137i	0.504308	−	0.863524i	$-0.331748\pi$
$149$	4.09613	+	1.49087i	0.335568	+	0.122137i	−0.168740	+	0.985661i	$0.553970\pi$
$150$	1.19626	+	4.23089i	0.0976742	+	0.345451i
$151$	4.44628			0.361833			0.180917	−	0.983498i	$-0.442094\pi$
$151$	4.44628			0.361833			0.180917	+	0.983498i	$0.442094\pi$
$152$	7.17993	+	1.94817i	0.582369	+	0.158018i
$153$			4.53739i			0.366826i
$154$	1.63588	−	1.37267i	0.131823	−	0.110613i
$155$	−1.65184	+	0.378138i	−0.132679	+	0.0303728i
$156$	2.68595	−	15.2328i	0.215049	−	1.21960i
$157$	−19.5418	+	3.44574i	−1.55960	+	0.275000i	−0.885855	−	0.463962i	$-0.846427\pi$
$157$	−19.5418	+	3.44574i	−1.55960	+	0.275000i	−0.673747	+	0.738962i	$0.735316\pi$
$158$	−0.370692	−	1.01847i	−0.0294907	−	0.0810250i
$159$	−3.76719	+	6.52496i	−0.298758	+	0.517463i
$160$	−4.77310	+	9.32504i	−0.377347	+	0.737209i
$161$	9.18393	+	7.70623i	0.723795	+	0.607336i
$162$	−3.11961	+	3.71781i	−0.245100	+	0.292099i
$163$	1.10928	−	0.640441i	0.0868852	−	0.0501632i	−0.455928	−	0.890017i	$-0.650693\pi$
$163$	1.10928	−	0.640441i	0.0868852	−	0.0501632i	0.542813	+	0.839854i	$0.317359\pi$
$164$	5.87813	−	10.1812i	0.459005	−	0.795019i
$165$	−8.04710	−	6.08731i	−0.626466	−	0.473896i
$166$	0.551109	+	3.12549i	0.0427744	+	0.242585i
$167$	−7.91380	−	1.39542i	−0.612389	−	0.107981i	−0.141153	−	0.989988i	$-0.545081\pi$
$167$	−7.91380	−	1.39542i	−0.612389	−	0.107981i	−0.471236	+	0.882007i	$0.656192\pi$
$168$	2.35402	−	6.46763i	0.181617	−	0.498988i
$169$	−4.84580	+	4.06611i	−0.372754	+	0.312777i
$170$	−4.61678	+	2.98604i	−0.354091	+	0.229019i
$171$	0.303654	+	3.60172i	0.0232210	+	0.275431i
$172$		−	5.69410i		−	0.434171i
$173$	−1.70923	−	2.03699i	−0.129951	−	0.154869i	0.697145	−	0.716930i	$-0.254453\pi$
$173$	−1.70923	−	2.03699i	−0.129951	−	0.154869i	−0.827096	+	0.562061i	$0.810009\pi$
$174$	−4.54861	−	1.65556i	−0.344829	−	0.125508i
$175$	−5.79348	+	8.52099i	−0.437946	+	0.644126i
$176$	−1.13288	−	6.42490i	−0.0853943	−	0.484295i
$177$	−1.70682	−	4.68944i	−0.128292	−	0.352480i
$178$	0.908521	+	0.524535i	0.0680965	+	0.0393155i
$179$	4.05100	+	7.01654i	0.302786	+	0.524441i	0.976766	−	0.214309i	$-0.0687499\pi$
$179$	4.05100	+	7.01654i	0.302786	+	0.524441i	−0.673980	+	0.738750i	$0.735417\pi$
$180$	−3.30836	−	0.412432i	−0.246591	−	0.0307409i
$181$	16.4717	+	13.8214i	1.22434	+	1.02734i	0.998586	+	0.0531539i	$0.0169274\pi$
$181$	16.4717	+	13.8214i	1.22434	+	1.02734i	0.225749	+	0.974185i	$0.427517\pi$
$182$	−3.52566	+	2.03554i	−0.261339	+	0.150884i
$183$	16.8452	+	9.72559i	1.24523	+	0.718937i
$184$	−9.33030	+	3.39595i	−0.687839	+	0.250353i
$185$	10.1985	−	9.47508i	0.749812	−	0.696622i
$186$	−0.115719	+	0.656277i	−0.00848495	+	0.0481206i
$187$	4.31562	−	11.8571i	0.315590	−	0.867075i
$188$	7.35206	+	8.76185i	0.536204	+	0.639023i
$189$	−8.75396			−0.636757
$190$	−3.46491	+	2.67925i	−0.251371	+	0.194373i
$191$	−19.5939			−1.41777			−0.708884	−	0.705326i	$-0.750801\pi$
$191$	−19.5939			−1.41777			−0.708884	+	0.705326i	$0.750801\pi$
$192$	−4.46918	−	5.32616i	−0.322535	−	0.384382i
$193$	−0.165318	+	0.454207i	−0.0118998	+	0.0326945i	−0.945500	−	0.325621i	$-0.894427\pi$
$193$	−0.165318	+	0.454207i	−0.0118998	+	0.0326945i	0.933600	+	0.358316i	$0.116649\pi$
$194$	0.531824	−	3.01612i	0.0381827	−	0.216545i
$195$	13.0927	+	14.0924i	0.937586	+	1.00918i
$196$	−4.65177	+	1.69311i	−0.332269	+	0.120936i
$197$	1.09283	+	0.630945i	0.0778609	+	0.0449530i	0.538425	−	0.842673i	$-0.319020\pi$
$197$	1.09283	+	0.630945i	0.0778609	+	0.0449530i	−0.460564	+	0.887626i	$0.652353\pi$
$198$	−0.744161	+	0.429641i	−0.0528852	+	0.0305333i
$199$	−15.8230	−	13.2771i	−1.12166	−	0.941186i	−0.122975	−	0.992410i	$-0.539243\pi$
$199$	−15.8230	−	13.2771i	−1.12166	−	0.941186i	−0.998687	+	0.0512235i	$0.983688\pi$
$200$	−3.71253	−	7.68387i	−0.262516	−	0.543332i
$201$	−1.66595	−	2.88551i	−0.117507	−	0.203528i
$202$	4.74690	+	2.74063i	0.333991	+	0.192830i
$203$	−3.87986	−	10.6598i	−0.272313	−	0.748174i
$204$	−3.34322	−	18.9603i	−0.234072	−	1.32749i
$205$	5.68760	+	13.4684i	0.397239	+	0.940672i
$206$	−5.45564	−	1.98569i	−0.380113	−	0.138350i
$207$	−3.10084	−	3.69544i	−0.215523	−	0.256851i
$208$			12.4373i			0.862371i
$209$	2.63218	−	9.70081i	0.182072	−	0.671019i
$210$	2.20065	+	3.40247i	0.151859	+	0.234793i
$211$	5.37147	−	4.50720i	0.369787	−	0.310288i	−0.438890	−	0.898541i	$-0.644628\pi$
$211$	5.37147	−	4.50720i	0.369787	−	0.310288i	0.808677	+	0.588252i	$0.200184\pi$
$212$	2.36782	−	6.50553i	0.162623	−	0.446802i
$213$	−18.9996	−	3.35013i	−1.30183	−	0.229547i
$214$	1.18399	+	6.71473i	0.0809358	+	0.459009i
$215$	5.64738	+	4.27201i	0.385148	+	0.291349i
$216$	3.62502	−	6.27871i	0.246651	−	0.427212i
$217$	−1.35250	+	0.780867i	−0.0918138	+	0.0530087i
$218$	5.54000	−	6.60232i	0.375216	−	0.447165i
$219$	−15.3151	−	12.8509i	−1.03490	−	0.868382i
$220$	8.25311	+	4.22443i	0.556425	+	0.284811i
$221$	−12.0274	+	20.8321i	−0.809052	+	1.40132i
$222$	−1.87237	−	5.14430i	−0.125665	−	0.345263i
$223$	−19.1421	+	3.37527i	−1.28185	+	0.226025i	−0.772765	−	0.634692i	$-0.781127\pi$
$223$	−19.1421	+	3.37527i	−1.28185	+	0.226025i	−0.509084	+	0.860717i	$0.670016\pi$
$224$	−1.67649	+	9.50782i	−0.112015	+	0.635268i
$225$	2.89115	−	2.97179i	0.192744	−	0.198119i
$226$	−0.658001	+	0.552128i	−0.0437696	+	0.0367270i
$227$		−	6.53998i		−	0.434074i	−0.976163	−	0.217037i	$-0.930361\pi$
$227$		−	6.53998i		−	0.434074i	0.976163	−	0.217037i	$-0.0696392\pi$
$228$	−3.92269	−	14.8268i	−0.259786	−	0.981926i
$229$	20.4005			1.34810			0.674052	−	0.738684i	$-0.264552\pi$
$229$	20.4005			1.34810			0.674052	+	0.738684i	$0.264552\pi$
$230$	1.71944	−	5.58705i	0.113377	−	0.368399i
$231$	−8.73841	−	3.18052i	−0.574945	−	0.209263i
$232$	9.25233	+	1.63144i	0.607445	+	0.107109i
$233$	−11.8660	+	2.09229i	−0.777365	+	0.137070i	−0.548234	−	0.836325i	$-0.684700\pi$
$233$	−11.8660	+	2.09229i	−0.777365	+	0.137070i	−0.229131	+	0.973396i	$0.573589\pi$
$234$	1.53933	−	0.560272i	0.100629	−	0.0366261i
$235$	−14.2059	+	0.718139i	−0.926688	+	0.0468462i
$236$	2.29274	+	3.97114i	0.149245	+	0.258499i
$237$	−3.03373	+	3.61546i	−0.197062	+	0.234850i
$238$	−3.25719	+	3.88177i	−0.211132	+	0.251618i
$239$	−3.06250	−	5.30440i	−0.198096	−	0.343113i	0.749815	−	0.661648i	$-0.230143\pi$
$239$	−3.06250	−	5.30440i	−0.198096	−	0.343113i	−0.947911	+	0.318535i	$0.896809\pi$
$240$	12.3636	−	0.625007i	0.798065	−	0.0403440i
$241$	6.83446	−	2.48754i	0.440247	−	0.160237i	−0.112381	−	0.993665i	$-0.535848\pi$
$241$	6.83446	−	2.48754i	0.440247	−	0.160237i	0.552627	+	0.833429i	$0.313625\pi$
$242$	−2.51473	+	0.443415i	−0.161653	+	0.0285038i
$243$	8.26293	+	1.45698i	0.530067	+	0.0934652i
$244$	−16.7951	−	6.11290i	−1.07519	−	0.391339i
$245$	1.81079	−	5.88386i	0.115687	−	0.375906i
$246$	5.74945			0.366572
$247$	−8.15308	+	17.3412i	−0.518768	+	1.10339i
$248$		−	1.29343i		−	0.0821328i
$249$	10.5869	−	8.88348i	0.670918	−	0.562967i
$250$	4.92644	+	0.986018i	0.311575	+	0.0623612i
$251$	−4.19995	+	23.8191i	−0.265099	+	1.50345i	0.503655	+	0.863905i	$0.331988\pi$
$251$	−4.19995	+	23.8191i	−0.265099	+	1.50345i	−0.768754	+	0.639545i	$0.779123\pi$
$252$	−3.02595	+	0.533557i	−0.190617	+	0.0336110i
$253$	4.58827	+	12.6062i	0.288462	+	0.792544i
$254$	4.77142	−	8.26435i	0.299386	−	0.518551i
$255$	21.3130	+	10.9093i	1.33467	+	0.683164i
$256$	1.66857	+	1.40010i	0.104286	+	0.0875063i
$257$	7.86639	−	9.37480i	0.490692	−	0.584784i	−0.462701	−	0.886514i	$-0.653120\pi$
$257$	7.86639	−	9.37480i	0.490692	−	0.584784i	0.953393	+	0.301730i	$0.0975641\pi$
$258$	2.41165	−	1.39236i	0.150142	−	0.0866848i
$259$	6.41478	−	11.1107i	0.398595	−	0.690387i
$260$	−14.0961	−	10.6632i	−0.874205	−	0.661301i
$261$	0.792633	+	4.49525i	0.0490628	+	0.278249i
$262$	0.740253	+	0.130527i	0.0457330	+	0.00806396i
$263$	−4.23622	+	11.6389i	−0.261217	+	0.717687i	0.737870	+	0.674943i	$0.235832\pi$
$263$	−4.23622	+	11.6389i	−0.261217	+	0.717687i	−0.999086	+	0.0427432i	$0.986390\pi$
$264$	5.89978	−	4.95051i	0.363107	−	0.304683i
$265$	4.67569	+	7.22919i	0.287225	+	0.444085i
$266$	−2.32574	+	3.29928i	−0.142600	+	0.202292i
$267$		−	4.56828i		−	0.279574i
$268$	1.96793	+	2.34528i	0.120210	+	0.143261i
$269$	−4.64095	−	1.68917i	−0.282964	−	0.102990i	0.196639	−	0.980476i	$-0.436997\pi$
$269$	−4.64095	−	1.68917i	−0.282964	−	0.102990i	−0.479603	+	0.877485i	$0.659219\pi$
$270$	1.66051	+	3.93214i	0.101056	+	0.239302i
$271$	−1.19851	−	6.79708i	−0.0728042	−	0.412893i	−0.999328	−	0.0366568i	$-0.988329\pi$
$271$	−1.19851	−	6.79708i	−0.0728042	−	0.412893i	0.926524	−	0.376236i	$-0.122782\pi$
$272$	5.29473	+	14.5471i	0.321040	+	0.882050i
$273$	15.3528	+	8.86396i	0.929195	+	0.536471i
$274$	−3.88438	−	6.72794i	−0.234664	−	0.406450i
$275$	−10.3817	+	5.01601i	−0.626039	+	0.302477i
$276$	15.6803	+	13.1573i	0.943844	+	0.791979i
$277$	3.43228	−	1.98163i	0.206225	−	0.119064i	−0.393331	−	0.919397i	$-0.628677\pi$
$277$	3.43228	−	1.98163i	0.206225	−	0.119064i	0.599556	+	0.800333i	$0.295344\pi$
$278$	−4.79710	−	2.76961i	−0.287711	−	0.166110i
$279$	0.590514	−	0.214930i	0.0353532	−	0.0128675i
$280$	−5.35314	−	5.76188i	−0.319911	−	0.344338i
$281$	5.41770	−	30.7253i	0.323193	−	1.83292i	−0.198888	−	0.980022i	$-0.563733\pi$
$281$	5.41770	−	30.7253i	0.323193	−	1.83292i	0.522081	−	0.852896i	$-0.325156\pi$
$282$	−1.91316	+	5.25636i	−0.113927	+	0.313012i
$283$	6.83092	+	8.14077i	0.406056	+	0.483918i	0.929856	−	0.367922i	$-0.119931\pi$
$283$	6.83092	+	8.14077i	0.406056	+	0.483918i	−0.523801	+	0.851841i	$0.675486\pi$
$284$	17.7273			1.05192
$285$	17.6481	+	7.23331i	1.04538	+	0.428464i
$286$	−4.55546			−0.269370
$287$	8.66095	+	10.3217i	0.511240	+	0.609272i
$288$	1.32867	−	3.65050i	0.0782929	−	0.215108i
$289$	−2.24721	+	12.7446i	−0.132189	+	0.749681i
$290$	−4.05227	+	3.76480i	−0.237957	+	0.221077i
$291$	−12.5323	+	4.56139i	−0.734658	+	0.267394i
$292$	15.9091	+	9.18513i	0.931010	+	0.537519i
$293$	−16.9968	+	9.81313i	−0.992966	+	0.573289i	−0.906160	−	0.422936i	$-0.861000\pi$
$293$	−16.9968	+	9.81313i	−0.992966	+	0.573289i	−0.0868065	+	0.996225i	$0.527666\pi$
$294$	−1.85457	−	1.55617i	−0.108161	−	0.0907578i
$295$	−5.65869	−	0.705432i	−0.329462	−	0.0410719i
$296$	5.31273	+	9.20191i	0.308796	+	0.534850i
$297$	−8.48317	−	4.89776i	−0.492244	−	0.284197i
$298$	−0.669957	−	1.84069i	−0.0388096	−	0.106628i
$299$	−4.44098	−	25.1860i	−0.256828	−	1.45655i
$300$	−9.89158	+	14.5484i	−0.571091	+	0.839954i
$301$	6.13254	+	2.23206i	0.353474	+	0.128654i
$302$	−1.28432	−	1.53059i	−0.0739040	−	0.0880754i
$303$		−	23.8687i		−	1.37122i
$304$	5.17642	+	11.1930i	0.296888	+	0.641963i
$305$	18.6633	−	12.0710i	1.06866	−	0.691185i
$306$	1.56195	−	1.31063i	0.0892908	−	0.0749238i
$307$	7.73849	−	21.2613i	0.441659	−	1.21345i	−0.496742	−	0.867898i	$-0.665470\pi$
$307$	7.73849	−	21.2613i	0.441659	−	1.21345i	0.938401	−	0.345549i	$-0.112307\pi$
$308$	8.41488	+	1.48377i	0.479482	+	0.0845457i
$309$	4.39014	+	24.8977i	0.249746	+	1.41638i
$310$	0.607305	+	0.459402i	0.0344926	+	0.0260923i
$311$	−12.4289	+	21.5274i	−0.704776	+	1.22071i	0.261996	+	0.965069i	$0.415619\pi$
$311$	−12.4289	+	21.5274i	−0.704776	+	1.22071i	−0.966772	+	0.255639i	$0.917714\pi$
$312$	−12.7152	+	7.34113i	−0.719857	+	0.415610i
$313$	14.2716	−	17.0082i	0.806678	−	0.961361i	−0.193126	−	0.981174i	$-0.561863\pi$
$313$	14.2716	−	17.0082i	0.806678	−	0.961361i	0.999804	+	0.0198129i	$0.00630706\pi$
$314$	6.83083	+	5.73175i	0.385486	+	0.323461i
$315$	1.74105	−	3.40143i	0.0980971	−	0.191649i
$316$	2.16835	−	3.75570i	0.121979	−	0.211274i
$317$	−0.697575	−	1.91657i	−0.0391797	−	0.107645i	0.918560	−	0.395281i	$-0.129353\pi$
$317$	−0.697575	−	1.91657i	−0.0391797	−	0.107645i	−0.957740	+	0.287636i	$0.907131\pi$
$318$	3.33431	−	0.587929i	0.186979	−	0.0329694i
$319$	2.20423	−	12.5008i	0.123413	−	0.699912i
$320$	−7.74459	+	1.77289i	−0.432936	+	0.0991075i
$321$	22.7446	−	19.0850i	1.26948	−	1.06522i
$322$		−	5.38743i		−	0.300230i
$323$	−2.15378	+	23.7538i	−0.119840	+	1.32170i
$324$	−19.4192			−1.07884
$325$	21.1513	−	5.98041i	1.17326	−	0.331734i
$326$	−0.540882	−	0.196865i	−0.0299567	−	0.0109033i
$327$	−36.9608	−	6.51719i	−2.04394	−	0.360402i
$328$	−10.9897	+	1.93778i	−0.606803	+	0.106996i
$329$	−12.3185	+	4.48355i	−0.679139	+	0.247186i
$330$	0.228924	+	4.52846i	0.0126019	+	0.249284i
$331$	−16.8263	−	29.1439i	−0.924855	−	1.60190i	−0.791795	−	0.610787i	$-0.790853\pi$
$331$	−16.8263	−	29.1439i	−0.924855	−	1.60190i	−0.133060	−	0.991108i	$-0.542480\pi$
$332$	−8.16268	+	9.72790i	−0.447985	+	0.533888i
$333$	−3.31831	+	3.95461i	−0.181842	+	0.216711i
$334$	1.80556	+	3.12732i	0.0987956	+	0.171119i
$335$	−3.80248	+	0.192224i	−0.207752	+	0.0105023i
$336$	10.7209	−	3.90210i	0.584875	−	0.212877i
$337$	2.54944	−	0.449535i	0.138877	−	0.0244877i	−0.103778	−	0.994601i	$-0.533093\pi$
$337$	2.54944	−	0.449535i	0.138877	−	0.0244877i	0.242654	+	0.970113i	$0.421982\pi$
$338$	2.79943	+	0.493615i	0.152269	+	0.0268491i
$339$	3.51485	+	1.27930i	0.190900	+	0.0694820i
$340$	−21.0269	−	6.47113i	−1.14034	−	0.350946i
$341$	−1.74755			−0.0946353
$342$	1.15215	−	1.14489i	0.0623009	−	0.0619087i
$343$		−	20.0992i		−	1.08525i
$344$	−4.14041	+	3.47422i	−0.223236	+	0.187317i
$345$	−24.8136	+	5.68032i	−1.33592	+	0.305818i
$346$	−0.207497	+	1.17677i	−0.0111551	+	0.0632637i
$347$	23.4416	−	4.13339i	1.25841	−	0.221892i	0.495623	−	0.868538i	$-0.334940\pi$
$347$	23.4416	−	4.13339i	1.25841	−	0.221892i	0.762791	+	0.646646i	$0.223829\pi$
$348$	−6.62434	−	18.2002i	−0.355102	−	0.975634i
$349$	−1.24120	+	2.14983i	−0.0664402	+	0.115078i	−0.897332	−	0.441356i	$-0.854497\pi$
$349$	−1.24120	+	2.14983i	−0.0664402	+	0.115078i	0.830892	+	0.556434i	$0.187831\pi$
$350$	4.60672	−	0.466954i	0.246239	−	0.0249597i
$351$	14.3052	+	12.0034i	0.763553	+	0.640697i
$352$	−6.94416	+	8.27573i	−0.370125	+	0.441098i
$353$	30.9547	−	17.8717i	1.64755	−	0.951216i	0.669514	−	0.742800i	$-0.266503\pi$
$353$	30.9547	−	17.8717i	1.64755	−	0.951216i	0.978040	−	0.208416i	$-0.0668308\pi$
$354$	−1.12128	+	1.94211i	−0.0595951	+	0.103222i
$355$	−13.2999	+	17.5818i	−0.705887	+	0.933145i
$356$	0.728907	+	4.13384i	0.0386320	+	0.219093i
$357$	21.7308	+	3.83172i	1.15012	+	0.202796i
$358$	1.24524	−	3.42126i	0.0658127	−	0.180819i
$359$	4.41575	−	3.70526i	0.233055	−	0.195556i	−0.518780	−	0.854908i	$-0.673614\pi$
$359$	4.41575	−	3.70526i	0.233055	−	0.195556i	0.751835	+	0.659352i	$0.229169\pi$
$360$	1.71868	+	2.65729i	0.0905823	+	0.140051i
$361$	−0.119978	+	18.9996i	−0.00631464	+	0.999980i
$362$		−	9.66258i		−	0.507854i
$363$	7.14753	+	8.51809i	0.375148	+	0.447084i
$364$	−15.3071	−	5.57133i	−0.802310	−	0.292017i
$365$	−21.0456	+	8.88740i	−1.10158	+	0.465188i
$366$	−1.51783	−	8.60805i	−0.0793383	−	0.449950i
$367$	−2.03751	−	5.59802i	−0.106357	−	0.292214i	0.875086	−	0.483968i	$-0.160805\pi$
$367$	−2.03751	−	5.59802i	−0.106357	−	0.292214i	−0.981443	+	0.191753i	$0.938583\pi$
$368$	−14.2537	−	8.22939i	−0.743027	−	0.428987i
$369$	−2.71085	−	4.69533i	−0.141121	−	0.244429i
$370$	−6.20757	−	0.773857i	−0.322716	−	0.0402309i
$371$	6.07827	+	5.10028i	0.315568	+	0.264793i
$372$	−2.30921	+	1.33323i	−0.119727	+	0.0691245i
$373$	3.86976	+	2.23420i	0.200368	+	0.115683i	0.596827	−	0.802370i	$-0.296428\pi$
$373$	3.86976	+	2.23420i	0.200368	+	0.115683i	−0.396459	+	0.918052i	$0.629761\pi$
$374$	−5.32825	+	1.93933i	−0.275517	+	0.100280i
$375$	−7.00787	−	20.7254i	−0.361885	−	1.07026i
$376$	1.88528	−	10.6920i	0.0972260	−	0.551396i
$377$	−8.27656	+	22.7397i	−0.426265	+	1.17115i
$378$	2.52860	+	3.01346i	0.130057	+	0.154996i
$379$	−13.3179			−0.684095			−0.342047	−	0.939683i	$-0.611120\pi$
$379$	−13.3179			−0.684095			−0.342047	+	0.939683i	$0.611120\pi$
$380$	−17.1239	−	3.72953i	−0.878439	−	0.191321i
$381$	−41.5553			−2.12894
$382$	5.65974	+	6.74501i	0.289577	+	0.345105i
$383$	3.47959	−	9.56011i	0.177799	−	0.488499i	−0.818495	−	0.574514i	$-0.805191\pi$
$383$	3.47959	−	9.56011i	0.177799	−	0.488499i	0.996294	+	0.0860152i	$0.0274134\pi$
$384$	−3.72638	+	21.1334i	−0.190161	+	1.07846i
$385$	−7.78488	+	7.23263i	−0.396754	+	0.368609i
$386$	0.204109	−	0.0742894i	0.0103889	−	0.00378123i
$387$	−2.27417	−	1.31299i	−0.115602	−	0.0667431i
$388$	10.6127	−	6.12725i	0.538779	−	0.311064i
$389$	8.74087	+	7.33446i	0.443180	+	0.371872i	0.836898	−	0.547359i	$-0.184367\pi$
$389$	8.74087	+	7.33446i	0.443180	+	0.371872i	−0.393718	+	0.919231i	$0.628811\pi$
$390$	1.06932	−	8.57762i	0.0541469	−	0.434345i
$391$	−15.9164	−	27.5680i	−0.804927	−	1.39417i
$392$	4.06937	+	2.34945i	0.205534	+	0.118665i
$393$	−1.11951	−	3.07583i	−0.0564719	−	0.155155i
$394$	−0.0984689	−	0.558445i	−0.00496079	−	0.0281340i
$395$	2.09807	+	4.96828i	0.105565	+	0.249981i
$396$	−3.23087	−	1.17594i	−0.162357	−	0.0590933i
$397$	−3.30555	−	3.93941i	−0.165901	−	0.197713i	0.676689	−	0.736269i	$-0.263414\pi$
$397$	−3.30555	−	3.93941i	−0.165901	−	0.197713i	−0.842590	+	0.538556i	$0.818970\pi$
$398$			9.28201i			0.465265i
$399$	17.5061	+	1.58729i	0.876399	+	0.0794641i
$400$	5.80141	−	12.9014i	0.290070	−	0.645072i
$401$	13.0857	−	10.9802i	0.653469	−	0.548326i	−0.254652	−	0.967033i	$-0.581961\pi$
$401$	13.0857	−	10.9802i	0.653469	−	0.548326i	0.908121	+	0.418707i	$0.137517\pi$
$402$	−0.512095	+	1.40697i	−0.0255410	+	0.0701733i
$403$	3.28090	+	0.578511i	0.163433	+	0.0288177i
$404$	3.80845	+	21.5988i	0.189477	+	1.07458i
$405$	14.5693	−	19.2599i	0.723954	−	0.957030i
$406$	−2.54884	+	4.41471i	−0.126497	+	0.219098i
$407$	12.4327	−	7.17803i	0.616267	−	0.355802i
$408$	−11.7470	+	13.9995i	−0.581563	+	0.693080i
$409$	19.9705	+	16.7572i	0.987476	+	0.828591i	0.985200	−	0.171406i	$-0.0548311\pi$
$409$	19.9705	+	16.7572i	0.987476	+	0.828591i	0.00227581	+	0.999997i	$0.499276\pi$
$410$	2.99348	−	5.84826i	0.147838	−	0.288825i
$411$	−16.9149	+	29.2975i	−0.834351	+	1.44514i
$412$	−7.94529	−	21.8295i	−0.391436	−	1.07546i
$413$	−5.17566	+	0.912608i	−0.254677	+	0.0449065i
$414$	−0.376434	+	2.13487i	−0.0185007	+	0.104923i
$415$	−3.52401	−	15.3941i	−0.172987	−	0.755666i
$416$	15.7767	−	13.2383i	0.773518	−	0.649059i
$417$			24.1211i			1.18121i
$418$	−4.09972	+	1.89599i	−0.200524	+	0.0927361i
$419$	−5.77281			−0.282020			−0.141010	−	0.990008i	$-0.545035\pi$
$419$	−5.77281			−0.282020			−0.141010	+	0.990008i	$0.545035\pi$
$420$	−4.76909	+	15.4964i	−0.232708	+	0.756144i
$421$	−23.7749	−	8.65335i	−1.15872	−	0.421738i	−0.310078	−	0.950711i	$-0.600355\pi$
$421$	−23.7749	−	8.65335i	−1.15872	−	0.421738i	−0.848639	+	0.528973i	$0.822577\pi$
$422$	−3.10311	−	0.547163i	−0.151057	−	0.0266355i
$423$	5.19469	−	0.915964i	0.252574	−	0.0445357i
$424$	−6.17515	+	2.24757i	−0.299892	+	0.109152i
$425$	22.1935	−	15.9993i	1.07654	−	0.776082i
$426$	4.33480	+	7.50810i	0.210022	+	0.363769i
$427$	13.1672	−	15.6920i	0.637204	−	0.759390i
$428$	−17.5365	+	20.8992i	−0.847658	+	1.01020i
$429$	9.91861	+	17.1795i	0.478875	+	0.829436i
$430$	−0.160657	−	3.17803i	−0.00774756	−	0.153258i
$431$	17.6314	−	6.41729i	0.849272	−	0.309110i	0.119529	−	0.992831i	$-0.461862\pi$
$431$	17.6314	−	6.41729i	0.849272	−	0.309110i	0.729744	+	0.683721i	$0.239639\pi$
$432$	11.8353	−	2.08688i	0.569426	−	0.100405i
$433$	−8.38365	−	1.47826i	−0.402892	−	0.0710408i	−0.0314698	−	0.999505i	$-0.510019\pi$
$433$	−8.38365	−	1.47826i	−0.402892	−	0.0710408i	−0.371423	+	0.928464i	$0.621130\pi$
$434$	0.659478	+	0.240030i	0.0316560	+	0.0115218i
$435$	23.0208	+	7.08478i	1.10376	+	0.339689i
$436$	34.4858			1.65157
$437$	−14.4792	−	20.8180i	−0.692632	−	0.995859i
$438$			8.98406i			0.429275i
$439$	1.57445	−	1.32112i	0.0751444	−	0.0630537i	−0.604442	−	0.796649i	$-0.706604\pi$
$439$	1.57445	−	1.32112i	0.0751444	−	0.0630537i	0.679586	+	0.733596i	$0.262159\pi$
$440$	−1.96383	−	8.57868i	−0.0936219	−	0.408972i
$441$	−0.396433	+	2.24828i	−0.0188777	+	0.107061i
$442$	10.6454	−	1.87707i	0.506349	−	0.0892830i
$443$	−4.11804	−	11.3142i	−0.195654	−	0.537555i	0.802607	−	0.596508i	$-0.203446\pi$
$443$	−4.11804	−	11.3142i	−0.195654	−	0.537555i	−0.998261	+	0.0589538i	$0.981224\pi$
$444$	10.9524	−	18.9701i	0.519777	−	0.900280i
$445$	−4.64678	−	2.37850i	−0.220279	−	0.112752i
$446$	6.69112	+	5.61452i	0.316834	+	0.265855i
$447$	−5.48291	+	6.53427i	−0.259333	+	0.309060i
$448$	−6.34117	+	3.66108i	−0.299592	+	0.172970i
$449$	3.74700	−	6.48999i	0.176832	−	0.306282i	−0.763962	−	0.645261i	$-0.776748\pi$
$449$	3.74700	−	6.48999i	0.176832	−	0.306282i	0.940794	+	0.338980i	$0.110082\pi$
$450$	−1.85812	−	0.136845i	−0.0875927	−	0.00645094i
$451$	2.61813	+	14.8482i	0.123283	+	0.699173i
$452$	−3.38471	−	0.596816i	−0.159203	−	0.0280719i
$453$	−2.97580	+	8.17595i	−0.139815	+	0.384140i
$454$	−2.25132	+	1.88908i	−0.105660	+	0.0886591i
$455$	17.0098	−	11.0016i	0.797432	−	0.515763i
$456$	−8.38773	+	11.8988i	−0.392792	+	0.557212i
$457$			14.0052i			0.655137i	0.944827	+	0.327568i	$0.106229\pi$
$457$			14.0052i			0.655137i	−0.944827	+	0.327568i	$0.893771\pi$
$458$	−5.89272	−	7.02267i	−0.275349	−	0.328148i
$459$	21.8419	+	7.94981i	1.01949	+	0.371065i
$460$	21.5475	−	9.09935i	1.00466	−	0.424259i
$461$	−3.06924	−	17.4066i	−0.142949	−	0.810704i	−0.968991	−	0.247096i	$-0.920524\pi$
$461$	−3.06924	−	17.4066i	−0.142949	−	0.810704i	0.826042	−	0.563608i	$-0.190587\pi$
$462$	1.42924	+	3.92681i	0.0664944	+	0.182692i
$463$	−14.3696	−	8.29630i	−0.667812	−	0.385562i	0.127435	−	0.991847i	$-0.459326\pi$
$463$	−14.3696	−	8.29630i	−0.667812	−	0.385562i	−0.795247	+	0.606285i	$0.792659\pi$
$464$	7.78678	+	13.4871i	0.361492	+	0.626123i
$465$	0.410208	−	3.29052i	0.0190229	−	0.152594i
$466$	4.14775	+	3.48038i	0.192141	+	0.161225i
$467$	−13.8481	+	7.99522i	−0.640815	+	0.369975i	−0.784928	−	0.619586i	$-0.787300\pi$
$467$	−13.8481	+	7.99522i	−0.640815	+	0.369975i	0.144113	+	0.989561i	$0.453967\pi$
$468$	5.67643	+	3.27729i	0.262393	+	0.151493i
$469$	−3.29728	+	1.20011i	−0.152254	+	0.0554161i
$470$	4.35060	+	4.68279i	0.200678	+	0.216001i
$471$	6.74276	−	38.2401i	0.310690	−	1.76201i
$472$	1.48868	−	4.09011i	0.0685220	−	0.188263i
$473$	4.69402	+	5.59412i	0.215831	+	0.257218i
$474$	2.12089			0.0974155
$475$	16.5462	−	14.1853i	0.759191	−	0.650867i
$476$	−20.2756			−0.929331
$477$	−2.05225	−	2.44578i	−0.0939663	−	0.111985i
$478$	−0.941379	+	2.58642i	−0.0430577	+	0.118300i
$479$	−1.28429	+	7.28355i	−0.0586805	+	0.332794i	−0.999989	−	0.00475459i	$-0.998487\pi$
$479$	−1.28429	+	7.28355i	−0.0586805	+	0.332794i	0.941308	+	0.337548i	$0.109598\pi$
$480$	−13.9526	−	15.0180i	−0.636847	−	0.685473i
$481$	−25.7177	+	9.36047i	−1.17263	+	0.426801i
$482$	−2.83046	−	1.63417i	−0.128924	−	0.0744342i
$483$	−20.3170	+	11.7301i	−0.924458	+	0.533736i
$484$	−7.82694	−	6.56758i	−0.355770	−	0.298526i
$485$	−1.88524	+	15.1226i	−0.0856042	+	0.686682i
$486$	−1.88521	−	3.26528i	−0.0855149	−	0.148116i
$487$	17.4834	+	10.0941i	0.792250	+	0.457406i	0.840754	−	0.541417i	$-0.182112\pi$
$487$	17.4834	+	10.0941i	0.792250	+	0.457406i	−0.0485041	+	0.998823i	$0.515445\pi$
$488$	5.80246	+	15.9421i	0.262665	+	0.721666i
$489$	0.435246	+	2.46840i	0.0196825	+	0.111625i
$490$	−2.54851	+	1.07622i	−0.115130	+	0.0486185i
$491$	−8.77021	−	3.19210i	−0.395794	−	0.144057i	0.136453	−	0.990647i	$-0.456430\pi$
$491$	−8.77021	−	3.19210i	−0.395794	−	0.144057i	−0.532247	+	0.846589i	$0.678652\pi$
$492$	14.7874	+	17.6229i	0.666668	+	0.794504i
$493$			30.1207i			1.35657i
$494$	8.32455	−	2.20241i	0.374539	−	0.0990911i
$495$	3.59026	−	2.32211i	0.161370	−	0.104371i
$496$	1.64242	−	1.37816i	0.0737469	−	0.0618810i
$497$	−6.94900	+	19.0922i	−0.311705	+	0.856404i
$498$	−6.11609	−	1.07843i	−0.274069	−	0.0483257i
$499$	4.16083	+	23.5972i	0.186264	+	1.05636i	0.924320	+	0.381618i	$0.124633\pi$
$499$	4.16083	+	23.5972i	0.186264	+	1.05636i	−0.738056	+	0.674739i	$0.764256\pi$
$500$	9.64835	+	17.6363i	0.431487	+	0.788719i
$501$	7.86247	−	13.6182i	0.351269	−	0.608416i
$502$	9.41265	−	5.43440i	0.420107	−	0.242549i
$503$	−6.64247	+	7.91618i	−0.296173	+	0.352965i	−0.893525	−	0.449014i	$-0.851775\pi$
$503$	−6.64247	+	7.91618i	−0.296173	+	0.352965i	0.597352	+	0.801979i	$0.296220\pi$
$504$	2.23424	+	1.87475i	0.0995208	+	0.0835079i
$505$	−24.2788	−	12.4273i	−1.08039	−	0.553009i
$506$	3.01422	−	5.22078i	0.133998	−	0.232092i
$507$	−4.23368	−	11.6319i	−0.188024	−	0.516593i
$508$	37.6034	−	6.63050i	1.66838	−	0.294181i
$509$	−4.81206	+	27.2906i	−0.213291	+	1.20963i	0.670557	+	0.741858i	$0.266055\pi$
$509$	−4.81206	+	27.2906i	−0.213291	+	1.20963i	−0.883848	+	0.467775i	$0.845056\pi$
$510$	−2.40090	−	10.4880i	−0.106314	−	0.464414i
$511$	−16.1287	+	13.5335i	−0.713490	+	0.598689i
$512$		−	22.9115i		−	1.01256i
$513$	17.8699	+	4.84874i	0.788974	+	0.214077i
$514$	−5.49940			−0.242568
$515$	27.6114	+	8.49755i	1.21670	+	0.374447i
$516$	10.4705	+	3.81094i	0.460937	+	0.167767i
$517$	−14.4459	−	2.54721i	−0.635331	−	0.112026i
$518$	−5.67768	+	1.00113i	−0.249463	+	0.0439870i
$519$	4.88962	−	1.77968i	0.214631	−	0.0781191i
$520$	0.847050	+	16.7559i	0.0371456	+	0.734796i
$521$	5.28647	+	9.15643i	0.231604	+	0.401151i	0.958280	−	0.285830i	$-0.0922692\pi$
$521$	5.28647	+	9.15643i	0.231604	+	0.401151i	−0.726676	+	0.686980i	$0.758936\pi$
$522$	1.31849	−	1.57131i	0.0577087	−	0.0687746i
$523$	11.6728	−	13.9111i	0.510415	−	0.608289i	−0.447872	−	0.894098i	$-0.647818\pi$
$523$	11.6728	−	13.9111i	0.510415	−	0.608289i	0.958287	+	0.285809i	$0.0922623\pi$
$524$	1.50382	+	2.60470i	0.0656948	+	0.113787i
$525$	−11.7912	−	16.3561i	−0.514609	−	0.713840i
$526$	5.23022	−	1.90364i	0.228048	−	0.0830028i
$527$	4.08375	−	0.720075i	0.177891	−	0.0313670i
$528$	12.5725	+	2.21687i	0.547148	+	0.0964769i
$529$	10.1900	+	3.70884i	0.443041	+	0.161254i
$530$	1.13799	−	3.69772i	0.0494313	−	0.160619i
$531$	2.11471			0.0917707
$532$	−16.0945	+	1.35690i	−0.697786	+	0.0588290i
$533$		−	28.7430i		−	1.24500i
$534$	−1.57258	+	1.31955i	−0.0680523	+	0.0571027i
$535$	−7.57089	−	33.0722i	−0.327318	−	1.42984i
$536$	0.504633	−	2.86192i	0.0217968	−	0.123616i
$537$	−15.6135	+	2.75308i	−0.673771	+	0.118804i
$538$	0.759067	+	2.08552i	0.0327257	+	0.0899131i
$539$	3.17435	−	5.49814i	0.136729	−	0.236821i
$540$	−7.78182	+	15.2031i	−0.334876	+	0.654235i
$541$	4.67676	+	3.92427i	0.201070	+	0.168717i	0.737763	−	0.675060i	$-0.235882\pi$
$541$	4.67676	+	3.92427i	0.201070	+	0.168717i	−0.536693	+	0.843777i	$0.680327\pi$
$542$	−1.99363	+	2.37592i	−0.0856340	+	0.102055i
$543$	−36.4394	+	21.0383i	−1.56377	+	0.902841i
$544$	12.8174	−	22.2004i	0.549541	−	0.951833i
$545$	−25.8730	+	34.2028i	−1.10828	+	1.46509i
$546$	−1.38336	−	7.84542i	−0.0592023	−	0.335753i
$547$	−10.7363	−	1.89310i	−0.459051	−	0.0809430i	−0.0606593	−	0.998159i	$-0.519320\pi$
$547$	−10.7363	−	1.89310i	−0.459051	−	0.0809430i	−0.398391	+	0.917215i	$0.630431\pi$
$548$	10.6317	−	29.2102i	0.454162	−	1.24780i
$549$	−6.31417	+	5.29822i	−0.269482	+	0.226122i
$550$	4.72547	+	2.12491i	0.201495	+	0.0906064i
$551$	2.01576	+	23.9094i	0.0858741	+	1.01858i
$552$		−	19.4297i		−	0.826981i
$553$	3.19489	+	3.80753i	0.135861	+	0.161912i
$554$	−1.67357	−	0.609131i	−0.0711033	−	0.0258795i
$555$	10.5974	+	25.0948i	0.449833	+	1.06522i
$556$	−3.84872	−	21.8272i	−0.163222	−	0.925678i
$557$	−4.17801	−	11.4790i	−0.177028	−	0.486380i	0.819165	−	0.573558i	$-0.194437\pi$
$557$	−4.17801	−	11.4790i	−0.177028	−	0.486380i	−0.996193	+	0.0871778i	$0.972215\pi$
$558$	−0.244558	−	0.141196i	−0.0103530	−	0.00597730i
$559$	−6.96079	−	12.0564i	−0.294410	−	0.509933i
$560$	1.61275	−	12.9368i	0.0681512	−	0.546681i
$561$	18.9148	+	15.8714i	0.798582	+	0.670090i
$562$	−12.1418	+	7.01006i	−0.512170	+	0.295702i
$563$	−15.8656	−	9.15999i	−0.668654	−	0.386048i	0.126912	−	0.991914i	$-0.459493\pi$
$563$	−15.8656	−	9.15999i	−0.668654	−	0.386048i	−0.795567	+	0.605866i	$0.792827\pi$
$564$	−21.0321	+	7.65506i	−0.885612	+	0.322336i
$565$	3.13131	−	2.90918i	0.131735	−	0.122390i
$566$	0.829256	−	4.70295i	0.0348562	−	0.197680i
$567$	7.61223	−	20.9144i	0.319684	−	0.878324i
$568$	−10.8162	−	12.8902i	−0.453837	−	0.540861i
$569$	−32.3240			−1.35509			−0.677546	−	0.735480i	$-0.736957\pi$
$569$	−32.3240			−1.35509			−0.677546	+	0.735480i	$0.736957\pi$
$570$	−2.60769	−	8.16453i	−0.109224	−	0.341975i
$571$	−13.2641			−0.555083			−0.277542	−	0.960714i	$-0.589520\pi$
$571$	−13.2641			−0.555083			−0.277542	+	0.960714i	$0.589520\pi$
$572$	−11.7165	−	13.9632i	−0.489891	−	0.583830i
$573$	13.1138	−	36.0299i	0.547837	−	1.50517i
$574$	1.05142	−	5.96289i	0.0438854	−	0.248886i
$575$	−7.14138	+	28.1975i	−0.297816	+	1.17592i
$576$	2.76861	−	1.00769i	0.115359	−	0.0419872i
$577$	−18.8470	−	10.8813i	−0.784613	−	0.452996i	0.0534497	−	0.998571i	$-0.482978\pi$
$577$	−18.8470	−	10.8813i	−0.784613	−	0.452996i	−0.838063	+	0.545574i	$0.816312\pi$
$578$	5.03630	−	2.90771i	0.209483	−	0.120945i
$579$	−0.724565	−	0.607982i	−0.0301119	−	0.0252669i
$580$	−21.9620	−	2.73786i	−0.911922	−	0.113683i
$581$	−7.27720	−	12.6045i	−0.301909	−	0.522922i
$582$	5.19020	+	2.99656i	0.215141	+	0.124211i
$583$	3.03669	+	8.34325i	0.125767	+	0.345542i
$584$	−3.02796	−	17.1724i	−0.125298	−	0.710599i
$585$	−7.50915	+	3.17106i	−0.310465	+	0.131107i
$586$	8.28764	+	3.01645i	0.342359	+	0.124609i
$587$	26.7247	+	31.8493i	1.10305	+	1.31456i	0.944979	+	0.327131i	$0.106082\pi$
$587$	26.7247	+	31.8493i	1.10305	+	1.31456i	0.158067	+	0.987428i	$0.449474\pi$
$588$		−	9.68697i		−	0.399484i
$589$	3.19344	−	0.844882i	0.131583	−	0.0348128i
$590$	1.39168	+	2.15171i	0.0572947	+	0.0885846i
$591$	−1.89161	+	1.58725i	−0.0778103	+	0.0652906i
$592$	−6.02403	+	16.5509i	−0.247586	+	0.680237i
$593$	8.45667	+	1.49114i	0.347274	+	0.0612337i	0.344565	−	0.938763i	$-0.388027\pi$
$593$	8.45667	+	1.49114i	0.347274	+	0.0612337i	0.00270906	+	0.999996i	$0.499138\pi$
$594$	0.764373	+	4.33497i	0.0313626	+	0.177866i
$595$	15.2118	−	20.1092i	0.623624	−	0.824398i
$596$	3.91889	−	6.78771i	0.160524	−	0.278036i
$597$	35.0042	−	20.2097i	1.43263	−	0.827128i
$598$	−7.38726	+	8.80379i	−0.302087	+	0.360014i
$599$	−31.6361	−	26.5459i	−1.29262	−	1.08463i	−0.991371	−	0.131088i	$-0.958153\pi$
$599$	−31.6361	−	26.5459i	−1.29262	−	1.08463i	−0.301246	−	0.953546i	$-0.597403\pi$
$600$	16.6140	−	1.68406i	0.678265	−	0.0687514i
$601$	0.800603	−	1.38668i	0.0326573	−	0.0565640i	−0.849235	−	0.528015i	$-0.822936\pi$
$601$	0.800603	−	1.38668i	0.0326573	−	0.0565640i	0.881892	+	0.471451i	$0.156270\pi$
$602$	−1.00303	−	2.75580i	−0.0408804	−	0.112318i
$603$	1.39046	−	0.245176i	0.0566240	−	0.00998434i
$604$	1.38826	−	7.87324i	0.0564877	−	0.320358i
$605$	12.3859	−	2.83537i	0.503557	−	0.115274i
$606$	−8.21654	+	6.89450i	−0.333774	+	0.280070i
$607$			32.4708i			1.31795i	0.752165	+	0.658975i	$0.229010\pi$
$607$			32.4708i			1.31795i	−0.752165	+	0.658975i	$0.770990\pi$
$608$	8.68858	−	18.4802i	0.352368	−	0.749469i
$609$	22.1983			0.899521
$610$	−9.54625	−	2.93791i	−0.386516	−	0.118952i
$611$	26.2779	+	9.56437i	1.06309	+	0.386933i
$612$	8.03457	+	1.41671i	0.324778	+	0.0572672i
$613$	13.7235	−	2.41983i	0.554288	−	0.0977360i	0.110514	−	0.993875i	$-0.464750\pi$
$613$	13.7235	−	2.41983i	0.554288	−	0.0977360i	0.443774	+	0.896139i	$0.353639\pi$
$614$	−9.55427	+	3.47747i	−0.385579	+	0.140339i
$615$	−28.5726	+	1.44441i	−1.15216	+	0.0582443i
$616$	−4.05537	−	7.02411i	−0.163396	−	0.283010i
$617$	9.27056	−	11.0482i	0.373219	−	0.444785i	−0.546443	−	0.837496i	$-0.684019\pi$
$617$	9.27056	−	11.0482i	0.373219	−	0.444785i	0.919662	+	0.392712i	$0.128463\pi$
$618$	7.30269	−	8.70301i	0.293757	−	0.350086i
$619$	−2.35653	−	4.08162i	−0.0947168	−	0.164054i	0.814774	−	0.579779i	$-0.196861\pi$
$619$	−2.35653	−	4.08162i	−0.0947168	−	0.164054i	−0.909490	+	0.415725i	$0.863528\pi$
$620$	0.153833	+	3.04305i	0.00617809	+	0.122212i
$621$	−23.2218	+	8.45206i	−0.931860	+	0.339169i
$622$	11.0007	−	1.93972i	0.441088	−	0.0777757i
$623$	−4.73786	−	0.835413i	−0.189819	−	0.0334701i
$624$	−22.8700	−	8.32401i	−0.915534	−	0.333227i
$625$	−24.7303	−	3.66249i	−0.989211	−	0.146499i
$626$	−9.97728			−0.398772
$627$	16.0765	+	11.3327i	0.642032	+	0.452583i
$628$			35.6794i			1.42376i
$629$	−26.0955	+	21.8968i	−1.04050	+	0.873081i
$630$	−1.67381	+	0.383169i	−0.0666863	+	0.0152658i
$631$	0.575249	−	3.26240i	0.0229003	−	0.129874i	−0.971214	−	0.238207i	$-0.923440\pi$
$631$	0.575249	−	3.26240i	0.0229003	−	0.129874i	0.994115	+	0.108333i	$0.0345514\pi$
$632$	−4.05392	+	0.714816i	−0.161256	+	0.0284339i
$633$	4.69295	+	12.8938i	0.186528	+	0.512482i
$634$	−0.458265	+	0.793738i	−0.0182000	+	0.0315234i
$635$	−21.6360	+	42.2694i	−0.858597	+	1.67741i
$636$	10.3778	+	8.70803i	0.411508	+	0.345296i
$637$	−7.77970	+	9.27149i	−0.308243	+	0.367350i
$638$	−4.93998	+	2.85210i	−0.195576	+	0.112916i
$639$	4.08769	−	7.08009i	0.161707	−	0.280084i
$640$	19.5564	+	14.7936i	0.773035	+	0.584769i
$641$	−0.00854330	−	0.0484515i	−0.000337440	−	0.00191372i	0.984639	−	0.174605i	$-0.0558648\pi$
$641$	−0.00854330	−	0.0484515i	−0.000337440	−	0.00191372i	−0.984976	+	0.172691i	$0.944754\pi$
$642$	−13.1397	−	2.31688i	−0.518581	−	0.0914398i
$643$	4.10435	−	11.2766i	0.161860	−	0.444706i	−0.832077	−	0.554660i	$-0.812848\pi$
$643$	4.10435	−	11.2766i	0.161860	−	0.444706i	0.993937	+	0.109954i	$0.0350705\pi$
$644$	16.5133	−	13.8563i	0.650715	−	0.546014i
$645$	−11.6352	+	7.52539i	−0.458135	+	0.296312i
$646$	8.79913	−	6.11991i	0.346197	−	0.240785i
$647$			36.3971i			1.43092i	0.698656	+	0.715458i	$0.253782\pi$
$647$			36.3971i			1.43092i	−0.698656	+	0.715458i	$0.746218\pi$
$648$	11.8485	+	14.1205i	0.465453	+	0.554705i
$649$	−5.52615	−	2.01136i	−0.216920	−	0.0789526i
$650$	−8.16829	−	5.55368i	−0.320387	−	0.217833i
$651$	−0.530680	−	3.00964i	−0.0207990	−	0.117957i
$652$	−0.787709	−	2.16421i	−0.0308491	−	0.0847571i
$653$	27.5396	+	15.9000i	1.07771	+	0.622214i	0.930277	−	0.366858i	$-0.119567\pi$
$653$	27.5396	+	15.9000i	1.07771	+	0.622214i	0.147430	+	0.989073i	$0.452900\pi$
$654$	8.43272	+	14.6059i	0.329745	+	0.571136i
$655$	−3.71157	−	0.462697i	−0.145023	−	0.0180791i
$656$	−14.1702	−	11.8902i	−0.553253	−	0.464234i
$657$	7.33689	−	4.23596i	0.286239	−	0.165260i
$658$	5.10163	+	2.94543i	0.198882	+	0.114825i
$659$	25.2226	−	9.18029i	0.982534	−	0.357613i	0.199709	−	0.979855i	$-0.436000\pi$
$659$	25.2226	−	9.18029i	0.982534	−	0.357613i	0.782825	+	0.622242i	$0.213778\pi$
$660$	−13.2916	+	12.3487i	−0.517376	+	0.480674i
$661$	−5.95562	+	33.7760i	−0.231647	+	1.31373i	0.617915	+	0.786245i	$0.287978\pi$
$661$	−5.95562	+	33.7760i	−0.231647	+	1.31373i	−0.849562	+	0.527489i	$0.823134\pi$
$662$	−5.17221	+	14.2105i	−0.201024	+	0.552308i
$663$	−30.2570	−	36.0588i	−1.17508	−	1.40041i
$664$	12.0540			0.467784
$665$	10.7292	−	16.9805i	0.416060	−	0.658475i
$666$	2.31983			0.0898917
$667$	−20.5844	−	24.5315i	−0.797031	−	0.949865i
$668$	−4.94186	+	13.5777i	−0.191206	+	0.525335i
$669$	6.60486	−	37.4580i	0.255358	−	1.44821i
$670$	1.16452	+	1.25344i	0.0449895	+	0.0484247i
$671$	21.5394	−	7.83970i	0.831520	−	0.302648i
$672$	−16.3612	−	9.44615i	−0.631147	−	0.364393i
$673$	18.8097	−	10.8598i	0.725062	−	0.418615i	−0.0915508	−	0.995800i	$-0.529182\pi$
$673$	18.8097	−	10.8598i	0.725062	−	0.418615i	0.816613	+	0.577186i	$0.195849\pi$
$674$	−0.891158	−	0.747770i	−0.0343261	−	0.0288030i
$675$	−9.23998	−	19.1241i	−0.355647	−	0.736087i
$676$	5.68704	+	9.85024i	0.218732	+	0.378856i
$677$	7.38775	+	4.26532i	0.283934	+	0.163930i	0.635203	−	0.772345i	$-0.280916\pi$
$677$	7.38775	+	4.26532i	0.283934	+	0.163930i	−0.351269	+	0.936275i	$0.614250\pi$
$678$	−0.574883	−	1.57948i	−0.0220782	−	0.0606595i
$679$	2.43891	+	13.8317i	0.0935966	+	0.530813i
$680$	8.12398	+	19.2378i	0.311540	+	0.737736i
$681$	12.0259	+	4.37707i	0.460834	+	0.167730i
$682$	0.504783	+	0.601577i	0.0193292	+	0.0230356i
$683$		−	17.3190i		−	0.662695i	−0.943509	−	0.331347i	$-0.892497\pi$
$683$		−	17.3190i		−	0.662695i	0.943509	−	0.331347i	$-0.107503\pi$
$684$	6.47255	+	0.586873i	0.247484	+	0.0224397i
$685$	20.9941	+	32.4595i	0.802145	+	1.24021i
$686$	−6.91894	+	5.80568i	−0.264166	+	0.221662i
$687$	−13.6536	+	37.5131i	−0.520919	+	1.43121i
$688$	−8.82326	−	1.55578i	−0.336384	−	0.0593135i
$689$	−2.93921	−	16.6691i	−0.111975	−	0.635041i
$690$	9.12283	+	6.90105i	0.347300	+	0.262719i
$691$	−8.63543	+	14.9570i	−0.328507	+	0.568991i	−0.982216	−	0.187755i	$-0.939879\pi$
$691$	−8.63543	+	14.9570i	−0.328507	+	0.568991i	0.653709	+	0.756746i	$0.273212\pi$
$692$	−4.14066	+	2.39061i	−0.157404	+	0.0908774i
$693$	2.53297	−	3.01868i	0.0962197	−	0.114670i
$694$	−8.19404	−	6.87561i	−0.311041	−	0.260995i
$695$	24.5356	+	12.5588i	0.930688	+	0.476381i
$696$	−9.19232	+	15.9216i	−0.348434	+	0.603505i
$697$	−12.2363	−	33.6190i	−0.463483	−	1.27341i
$698$	1.09858	−	0.193710i	0.0415819	−	0.00733201i
$699$	4.09428	−	23.2198i	0.154860	−	0.878253i
$700$	13.2796	+	12.9193i	0.501922	+	0.488304i
$701$	16.7623	−	14.0652i	0.633103	−	0.531236i	−0.268789	−	0.963199i	$-0.586623\pi$
$701$	16.7623	−	14.0652i	0.633103	−	0.531236i	0.901891	+	0.431963i	$0.142179\pi$
$702$		−	8.39162i		−	0.316721i
$703$	−19.2489	+	19.1278i	−0.725987	+	0.721417i
$704$	−8.19336			−0.308799
$705$	8.18714	−	26.6028i	0.308346	−	1.00192i
$706$	−15.0935	−	5.49358i	−0.568051	−	0.206754i
$707$	−24.7547	−	4.36493i	−0.930998	−	0.164160i
$708$	−8.83673	+	1.55815i	−0.332105	+	0.0585590i
$709$	19.3220	−	7.03264i	0.725654	−	0.264116i	0.0473296	−	0.998879i	$-0.484929\pi$
$709$	19.3220	−	7.03264i	0.725654	−	0.264116i	0.678324	+	0.734763i	$0.262707\pi$
$710$	9.89406	−	0.500168i	0.371318	−	0.0187710i
$711$	−0.999992	−	1.73204i	−0.0375026	−	0.0649564i
$712$	2.56114	−	3.05225i	0.0959829	−	0.114388i
$713$	−2.83388	+	3.37728i	−0.106129	+	0.126480i
$714$	−4.95794	−	8.58740i	−0.185546	−	0.321376i
$715$	22.6389	−	1.14445i	0.846648	−	0.0428000i
$716$	13.6894	−	4.98252i	0.511596	−	0.186206i
$717$	11.8035	−	2.08128i	0.440811	−	0.0777269i
$718$	−2.55100	−	0.449809i	−0.0952023	−	0.0167867i
$719$	14.7270	+	5.36020i	0.549225	+	0.199902i	0.601702	−	0.798720i	$-0.294489\pi$
$719$	14.7270	+	5.36020i	0.549225	+	0.199902i	−0.0524769	+	0.998622i	$0.516712\pi$
$720$	−1.54301	+	5.01376i	−0.0575047	+	0.186852i
$721$	26.6249			0.991561
$722$	6.57508	−	5.44677i	0.244699	−	0.202708i
$723$			14.2323i			0.529304i
$724$	29.6173	−	24.8518i	1.10072	−	0.923611i
$725$	19.1924	−	19.7277i	0.712789	−	0.732668i
$726$	0.867692	−	4.92093i	0.0322031	−	0.182633i
$727$	42.8621	−	7.55775i	1.58967	−	0.280301i	0.692308	−	0.721602i	$-0.256594\pi$
$727$	42.8621	−	7.55775i	1.58967	−	0.280301i	0.897359	+	0.441300i	$0.145483\pi$
$728$	5.28839	+	14.5297i	0.196001	+	0.538508i
$729$	7.99075	−	13.8404i	0.295954	−	0.512607i
$730$	9.13845	+	4.67760i	0.338229	+	0.173126i
$731$	−13.2742	−	11.1384i	−0.490964	−	0.411968i
$732$	22.4812	−	26.7920i	0.830928	−	0.990261i
$733$	10.9902	−	6.34518i	0.405931	−	0.234364i	−0.283109	−	0.959088i	$-0.591366\pi$
$733$	10.9902	−	6.34518i	0.405931	−	0.234364i	0.689040	+	0.724723i	$0.258032\pi$
$734$	−1.33852	+	2.31839i	−0.0494058	+	0.0855733i
$735$	9.60749	+	7.26767i	0.354377	+	0.268072i
$736$	4.73267	+	26.8403i	0.174448	+	0.989346i
$737$	−3.86674	−	0.681811i	−0.142433	−	0.0251148i
$738$	−0.833287	+	2.28944i	−0.0306737	+	0.0842753i
$739$	−21.5767	+	18.1050i	−0.793713	+	0.666004i	−0.946661	−	0.322230i	$-0.895568\pi$
$739$	−21.5767	+	18.1050i	−0.793713	+	0.666004i	0.152949	+	0.988234i	$0.451123\pi$
$740$	−13.5937	−	21.0175i	−0.499713	−	0.772617i
$741$	−26.4308	−	26.5982i	−0.970958	−	0.977109i
$742$		−	3.56561i		−	0.130898i
$743$	16.4322	+	19.5831i	0.602838	+	0.718434i	0.978019	−	0.208518i	$-0.0668639\pi$
$743$	16.4322	+	19.5831i	0.602838	+	0.718434i	−0.375181	+	0.926952i	$0.622419\pi$
$744$	2.37839	+	0.865664i	0.0871961	+	0.0317368i
$745$	3.79186	+	8.97923i	0.138923	+	0.328974i
$746$	−0.348683	−	1.97748i	−0.0127662	−	0.0724006i
$747$	2.00301	+	5.50323i	0.0732864	+	0.201353i
$748$	−19.6484	−	11.3440i	−0.718417	−	0.414778i
$749$	−15.6341	−	27.0791i	−0.571259	−	0.989450i
$750$	−5.11028	+	8.39896i	−0.186601	+	0.306687i
$751$	26.5577	+	22.2846i	0.969106	+	0.813176i	0.982410	−	0.186735i	$-0.0597906\pi$
$751$	26.5577	+	22.2846i	0.969106	+	0.813176i	−0.0133044	+	0.999911i	$0.504235\pi$
$752$	15.5856	−	8.99838i	0.568350	−	0.328137i
$753$	−40.9883	−	23.6646i	−1.49370	−	0.862387i
$754$	10.2186	−	3.71927i	0.372139	−	0.135448i
$755$	6.76709	+	7.28379i	0.246280	+	0.265084i
$756$	−2.73325	+	15.5011i	−0.0994075	+	0.563768i
$757$	−15.6463	+	42.9878i	−0.568674	+	1.56242i	0.237902	+	0.971289i	$0.423540\pi$
$757$	−15.6463	+	42.9878i	−0.568674	+	1.56242i	−0.806576	+	0.591131i	$0.798682\pi$
$758$	3.84690	+	4.58455i	0.139726	+	0.166518i
$759$	−26.2514			−0.952867
$760$	7.73616	+	14.7270i	0.280620	+	0.534206i
$761$	2.85442			0.103472			0.0517362	−	0.998661i	$-0.483524\pi$
$761$	2.85442			0.103472			0.0517362	+	0.998661i	$0.483524\pi$
$762$	12.0033	+	14.3050i	0.434834	+	0.518215i
$763$	−13.5183	+	37.1411i	−0.489394	+	1.34460i
$764$	−6.11782	+	34.6959i	−0.221335	+	1.25525i
$765$	−7.43304	+	6.90575i	−0.268742	+	0.249678i
$766$	−4.29606	+	1.56364i	−0.155223	+	0.0564965i
$767$	9.70909	+	5.60555i	0.350575	+	0.202405i
$768$	−3.69129	+	2.13116i	−0.133198	+	0.0769018i
$769$	−14.9538	−	12.5477i	−0.539247	−	0.452482i	0.332033	−	0.943268i	$-0.392265\pi$
$769$	−14.9538	−	12.5477i	−0.539247	−	0.452482i	−0.871280	+	0.490786i	$0.836710\pi$
$770$	4.73844	+	0.590710i	0.170761	+	0.0212877i
$771$	11.9738	+	20.7393i	0.431227	+	0.746908i
$772$	0.752669	+	0.434554i	0.0270891	+	0.0156399i
$773$	−2.47924	−	6.81165i	−0.0891720	−	0.244998i	0.887088	−	0.461601i	$-0.152725\pi$
$773$	−2.47924	−	6.81165i	−0.0891720	−	0.244998i	−0.976260	+	0.216603i	$0.930502\pi$
$774$	0.204913	+	1.16212i	0.00736544	+	0.0417715i
$775$	−3.13349	−	2.13048i	−0.112558	−	0.0765292i
$776$	−10.9306	−	3.97843i	−0.392387	−	0.142817i
$777$	16.1375	+	19.2319i	0.578928	+	0.689939i
$778$		−	5.12753i		−	0.183831i
$779$	−11.9629	−	25.8674i	−0.428615	−	0.926797i
$780$	29.0419	−	18.7837i	1.03987	−	0.672566i
$781$	−17.4160	+	14.6137i	−0.623193	+	0.522921i
$782$	−4.89253	+	13.4421i	−0.174957	+	0.480689i
$783$	23.0278	+	4.06042i	0.822946	+	0.145108i
$784$	1.35256	+	7.67073i	0.0483056	+	0.273955i
$785$	−35.3866	−	26.7685i	−1.26300	−	0.955410i
$786$	−0.735452	+	1.27384i	−0.0262327	+	0.0454364i
$787$	−3.64347	+	2.10356i	−0.129876	+	0.0749837i	−0.563530	−	0.826095i	$-0.690557\pi$
$787$	−3.64347	+	2.10356i	−0.129876	+	0.0749837i	0.433655	+	0.901079i	$0.357224\pi$
$788$	1.45846	−	1.73812i	0.0519554	−	0.0619181i
$789$	−18.5668	−	15.5794i	−0.660994	−	0.554640i
$790$	1.10425	−	2.15733i	0.0392875	−	0.0767545i
$791$	1.96956	−	3.41138i	0.0700295	−	0.121295i
$792$	1.11622	+	3.06679i	0.0396632	+	0.108974i
$793$	−43.0339	+	7.58803i	−1.52818	+	0.269459i
$794$	−0.401286	+	2.27581i	−0.0142411	+	0.0807654i
$795$	−16.4226	+	3.75945i	−0.582449	+	0.133334i
$796$	−28.4507	+	23.8730i	−1.00841	+	0.846156i
$797$		−	25.6411i		−	0.908253i	−0.890937	−	0.454127i	$-0.849951\pi$
$797$		−	25.6411i		−	0.908253i	0.890937	−	0.454127i	$-0.150049\pi$
$798$	−4.51024	−	6.48478i	−0.159661	−	0.229559i
$799$	34.8074			1.23140
$800$	−22.5406	+	6.37321i	−0.796929	+	0.225327i
$801$	1.81909	+	0.662095i	0.0642744	+	0.0233940i
$802$	−7.55965	−	1.33297i	−0.266941	−	0.0470688i
$803$	−23.2016	+	4.09108i	−0.818768	+	0.144371i
$804$	−5.62967	+	2.04903i	−0.198543	+	0.0722637i
$805$	1.35346	+	26.7735i	0.0477033	+	0.943642i
$806$	−0.748546	−	1.29652i	−0.0263664	−	0.0456679i
$807$	6.21218	−	7.40339i	0.218679	−	0.260612i
$808$	13.3816	−	15.9476i	0.470765	−	0.561036i
$809$	−0.258028	−	0.446918i	−0.00907179	−	0.0157128i	0.861454	−	0.507836i	$-0.169554\pi$
$809$	−0.258028	−	0.446918i	−0.00907179	−	0.0157128i	−0.870526	+	0.492123i	$0.836221\pi$
$810$	−10.8384	+	0.547905i	−0.380822	+	0.0192514i
$811$	22.5880	−	8.22138i	0.793174	−	0.288692i	0.0865190	−	0.996250i	$-0.472426\pi$
$811$	22.5880	−	8.22138i	0.793174	−	0.288692i	0.706655	+	0.707559i	$0.250203\pi$
$812$	−20.0873	+	3.54193i	−0.704925	+	0.124297i
$813$	13.3008	+	2.34529i	0.466479	+	0.0822529i
$814$	−6.06217	−	2.20645i	−0.212479	−	0.0773360i
$815$	2.73744	+	0.842461i	0.0958882	+	0.0295101i
$816$	−30.2934			−1.06048
$817$	−11.2823	−	7.95317i	−0.394718	−	0.278246i
$818$		−	11.7150i		−	0.409605i
$819$	−5.75477	+	4.82882i	−0.201088	+	0.168733i
$820$	25.6249	−	5.86606i	0.894862	−	0.204852i
$821$	6.73014	−	38.1685i	0.234884	−	1.33209i	−0.607975	−	0.793956i	$-0.708018\pi$
$821$	6.73014	−	38.1685i	0.234884	−	1.33209i	0.842859	−	0.538135i	$-0.180871\pi$
$822$	14.9713	−	2.63984i	0.522183	−	0.0920749i
$823$	1.19306	+	3.27790i	0.0415874	+	0.114260i	0.958748	−	0.284257i	$-0.0917470\pi$
$823$	1.19306	+	3.27790i	0.0415874	+	0.114260i	−0.917161	+	0.398518i	$0.869525\pi$
$824$	−11.0254	+	19.0965i	−0.384086	+	0.665257i
$825$	−2.27533	−	22.4472i	−0.0792169	−	0.781513i
$826$	1.80915	+	1.51806i	0.0629485	+	0.0528200i
$827$	17.6651	−	21.0525i	0.614277	−	0.732067i	−0.365798	−	0.930694i	$-0.619204\pi$
$827$	17.6651	−	21.0525i	0.614277	−	0.732067i	0.980075	+	0.198628i	$0.0636484\pi$
$828$	−7.51186	+	4.33698i	−0.261055	+	0.150720i
$829$	−4.30473	+	7.45600i	−0.149509	+	0.258958i	−0.931046	−	0.364901i	$-0.881103\pi$
$829$	−4.30473	+	7.45600i	−0.149509	+	0.258958i	0.781537	+	0.623859i	$0.214436\pi$
$830$	−4.28134	+	5.65971i	−0.148608	+	0.196451i
$831$	1.34672	+	7.63763i	0.0467172	+	0.264946i
$832$	15.3824	+	2.71233i	0.533289	+	0.0940332i
$833$	−5.15245	+	14.1562i	−0.178522	+	0.490485i
$834$	8.30343	−	6.96741i	0.287524	−	0.241262i
$835$	−9.75860	−	15.0880i	−0.337710	−	0.522141i
$836$	−16.3558	−	7.68982i	−0.565678	−	0.265958i
$837$		−	3.21917i		−	0.111271i
$838$	1.66749	+	1.98723i	0.0576023	+	0.0686478i
$839$	11.2197	+	4.08363i	0.387347	+	0.140983i	0.528350	−	0.849026i	$-0.322811\pi$
$839$	11.2197	+	4.08363i	0.387347	+	0.140983i	−0.141004	+	0.990009i	$0.545033\pi$
$840$	14.1779	−	5.98720i	0.489182	−	0.206578i
$841$	0.225961	+	1.28149i	0.00779176	+	0.0441893i
$842$	3.88858	+	10.6838i	0.134009	+	0.368188i
$843$	52.8726	+	30.5260i	1.82103	+	1.05137i
$844$	−6.30397	−	10.9188i	−0.216992	−	0.375841i
$845$	−14.0361	−	1.74979i	−0.482858	−	0.0601947i
$846$	−1.81581	−	1.52364i	−0.0624287	−	0.0523839i
$847$	10.1414	−	5.85514i	0.348462	−	0.201185i
$848$	−9.43366	−	5.44653i	−0.323953	−	0.187035i
$849$	−19.5413	+	7.11244i	−0.670654	+	0.244098i
$850$	−11.9182	−	3.01845i	−0.408792	−	0.103532i
$851$	6.28910	−	35.6673i	0.215588	−	1.22266i
$852$	−11.8645	+	32.5974i	−0.406470	+	1.11677i
$853$	−18.5878	−	22.1521i	−0.636435	−	0.758474i	0.347367	−	0.937729i	$-0.387076\pi$
$853$	−18.5878	−	22.1521i	−0.636435	−	0.758474i	−0.983803	+	0.179255i	$0.942631\pi$
$854$	−9.20518			−0.314995
$855$	−5.43811	+	5.97914i	−0.185979	+	0.204482i
$856$	25.8964			0.885121
$857$	−35.4914	−	42.2970i	−1.21236	−	1.44484i	−0.861006	−	0.508594i	$-0.830165\pi$
$857$	−35.4914	−	42.2970i	−1.21236	−	1.44484i	−0.351355	−	0.936242i	$-0.614279\pi$
$858$	3.04887	−	8.37671i	0.104087	−	0.285976i
$859$	4.62898	−	26.2522i	0.157939	−	0.895714i	−0.798111	−	0.602510i	$-0.794167\pi$
$859$	4.62898	−	26.2522i	0.157939	−	0.895714i	0.956050	−	0.293204i	$-0.0947216\pi$
$860$	9.32794	−	8.66623i	0.318080	−	0.295516i
$861$	−24.7765	+	9.01790i	−0.844380	+	0.307329i
$862$	−7.30193	−	4.21577i	−0.248705	−	0.143590i
$863$	1.04896	−	0.605615i	0.0357068	−	0.0206154i	−0.482040	−	0.876149i	$-0.660104\pi$
$863$	1.04896	−	0.605615i	0.0357068	−	0.0206154i	0.517747	+	0.855534i	$0.326771\pi$
$864$	−15.2447	−	12.7918i	−0.518636	−	0.435187i
$865$	0.735546	−	5.90025i	0.0250093	−	0.200614i
$866$	1.91275	+	3.31298i	0.0649980	+	0.112580i
$867$	−21.9311	−	12.6619i	−0.744818	−	0.430021i
$868$	0.960426	+	2.63875i	0.0325990	+	0.0895650i
$869$	0.965789	+	5.47726i	0.0327621	+	0.185803i
$870$	−4.21073	−	9.97113i	−0.142757	−	0.338053i
$871$	7.03380	+	2.56010i	0.238331	+	0.0867455i
$872$	−21.0413	−	25.0760i	−0.712547	−	0.849181i
$873$		−	5.65148i		−	0.191274i
$874$	−2.98405	+	10.9976i	−0.100937	+	0.372000i
$875$	−22.7764	+	3.47791i	−0.769981	+	0.117575i
$876$	−27.5375	+	23.1067i	−0.930406	+	0.780703i
$877$	16.9444	−	46.5543i	0.572171	−	1.57203i	−0.228896	−	0.973451i	$-0.573512\pi$
$877$	16.9444	−	46.5543i	0.572171	−	1.57203i	0.801067	−	0.598575i	$-0.204266\pi$
$878$	−0.909565	−	0.160381i	−0.0306963	−	0.00541259i
$879$	−6.66904	−	37.8220i	−0.224941	−	1.27570i
$880$	8.80091	−	11.6343i	0.296678	−	0.392193i
$881$	15.2819	−	26.4691i	0.514861	−	0.891766i	−0.484990	−	0.874520i	$-0.661177\pi$
$881$	15.2819	−	26.4691i	0.514861	−	0.891766i	0.999851	−	0.0172462i	$-0.00548992\pi$
$882$	0.888458	−	0.512952i	0.0299159	−	0.0172720i
$883$	3.58574	−	4.27331i	0.120670	−	0.143808i	−0.702328	−	0.711854i	$-0.747856\pi$
$883$	3.58574	−	4.27331i	0.120670	−	0.143808i	0.822997	+	0.568045i	$0.192300\pi$
$884$	33.1331	+	27.8019i	1.11439	+	0.935080i
$885$	5.08441	−	9.93323i	0.170911	−	0.333902i
$886$	−2.70530	+	4.68572i	−0.0908864	+	0.157420i
$887$	0.227909	+	0.626174i	0.00765242	+	0.0210248i	0.943460	−	0.331486i	$-0.107550\pi$
$887$	0.227909	+	0.626174i	0.00765242	+	0.0210248i	−0.935808	+	0.352511i	$0.885328\pi$
$888$	−20.4764	+	3.61055i	−0.687144	+	0.121162i
$889$	−7.59933	+	43.0979i	−0.254873	+	1.44546i
$890$	0.523457	+	2.28664i	0.0175463	+	0.0766483i
$891$	19.0782	−	16.0085i	0.639144	−	0.536305i
$892$			34.9497i			1.17020i
$893$	27.6297	−	2.32940i	0.924591	−	0.0779504i
$894$	3.83310			0.128198
$895$	−5.32884	+	17.3152i	−0.178124	+	0.578783i
$896$	21.2365	+	7.72944i	0.709460	+	0.258222i
$897$	49.2851	+	8.69028i	1.64558	+	0.290160i
$898$	−3.31644	+	0.584778i	−0.110671	+	0.0195143i
$899$	3.92003	−	1.42677i	0.130740	−	0.0475856i
$900$	−4.35958	−	6.04739i	−0.145319	−	0.201580i
$901$	−10.5341	−	18.2456i	−0.350941	−	0.607848i
$902$	4.35508	−	5.19018i	0.145008	−	0.172814i
$903$	−8.20876	+	9.78281i	−0.273170	+	0.325552i
$904$	1.63119	+	2.82530i	0.0542526	+	0.0939682i
$905$	2.42749	+	48.0194i	0.0806925	+	1.59622i
$906$	3.67405	−	1.33725i	0.122062	−	0.0444270i
$907$	−51.9794	+	9.16536i	−1.72595	+	0.304331i	−0.946635	−	0.322307i	$-0.895542\pi$
$907$	−51.9794	+	9.16536i	−1.72595	+	0.304331i	−0.779311	+	0.626638i	$0.784431\pi$
$908$	−11.5807	−	2.04198i	−0.384317	−	0.0677655i
$909$	9.50452	+	3.45936i	0.315245	+	0.114740i
$910$	−8.70050	−	2.67763i	−0.288419	−	0.0887624i
$911$	−13.0586			−0.432650			−0.216325	−	0.976321i	$-0.569407\pi$
$911$	−13.0586			−0.432650			−0.216325	+	0.976321i	$0.569407\pi$
$912$	−24.0465	+	2.02731i	−0.796259	+	0.0671310i
$913$		−	16.2861i		−	0.538992i
$914$	4.82116	−	4.04543i	0.159470	−	0.133811i
$915$	9.70562	+	42.3975i	0.320858	+	1.40162i
$916$	6.36966	−	36.1242i	0.210460	−	1.19358i
$917$	−3.39475	+	0.598585i	−0.112104	+	0.0197670i
$918$	−3.57243	−	9.81517i	−0.117908	−	0.323949i
$919$	−23.0270	+	39.8839i	−0.759589	+	1.31565i	0.183471	+	0.983025i	$0.441267\pi$
$919$	−23.0270	+	39.8839i	−0.759589	+	1.31565i	−0.943060	+	0.332622i	$0.892067\pi$
$920$	−19.7636	−	10.1162i	−0.651585	−	0.333520i
$921$	33.9167	+	28.4595i	1.11759	+	0.937773i
$922$	−5.10547	+	6.08447i	−0.168140	+	0.200381i
$923$	37.5349	−	21.6708i	1.23548	−	0.713303i
$924$	−8.36030	+	14.4805i	−0.275034	+	0.476372i
$925$	31.0437	+	2.28628i	1.02071	+	0.0751723i
$926$	1.29477	+	7.34299i	0.0425487	+	0.241306i
$927$	−10.5506	−	1.86035i	−0.346526	−	0.0611019i
$928$	8.82018	−	24.2332i	0.289536	−	0.795495i
$929$	−23.7272	+	19.9094i	−0.778463	+	0.653208i	−0.942861	−	0.333186i	$-0.891876\pi$
$929$	−23.7272	+	19.9094i	−0.778463	+	0.653208i	0.164398	+	0.986394i	$0.447432\pi$
$930$	−1.25122	+	0.809262i	−0.0410290	+	0.0265368i
$931$	−3.14258	+	11.5819i	−0.102994	+	0.379580i
$932$			21.6649i			0.709657i
$933$	−31.2669	−	37.2624i	−1.02363	−	1.21992i
$934$	6.75233	+	2.45765i	0.220943	+	0.0804166i
$935$	25.9922	−	10.9763i	0.850036	−	0.358964i
$936$	−1.08039	−	6.12718i	−0.0353136	−	0.200273i
$937$	11.9068	+	32.7138i	0.388979	+	1.06871i	0.967462	+	0.253017i	$0.0814229\pi$
$937$	11.9068	+	32.7138i	0.388979	+	1.06871i	−0.578483	+	0.815695i	$0.696355\pi$
$938$	1.36555	+	0.788402i	0.0445869	+	0.0257422i
$939$	21.7235	+	37.6262i	0.708920	+	1.22789i
$940$	−3.16386	+	25.3792i	−0.103194	+	0.827778i
$941$	−12.4217	−	10.4230i	−0.404934	−	0.339780i	0.417463	−	0.908694i	$-0.362919\pi$
$941$	−12.4217	−	10.4230i	−0.404934	−	0.339780i	−0.822397	+	0.568914i	$0.807364\pi$
$942$	−15.1114	+	8.72459i	−0.492357	+	0.284262i
$943$	32.9409	+	19.0184i	1.07270	+	0.619325i
$944$	6.77990	−	2.46768i	0.220667	−	0.0803162i
$945$	−13.3232	−	14.3405i	−0.433405	−	0.466497i
$946$	0.569843	−	3.23174i	0.0185272	−	0.105073i
$947$	5.00728	−	13.7574i	0.162715	−	0.447055i	−0.831363	−	0.555730i	$-0.812439\pi$
$947$	5.00728	−	13.7574i	0.162715	−	0.447055i	0.994077	+	0.108675i	$0.0346609\pi$
$948$	5.45485	+	6.50083i	0.177165	+	0.211137i
$949$	44.9136			1.45796
$950$	−9.66255	−	1.59841i	−0.313494	−	0.0518591i
$951$	3.99112			0.129421
$952$	12.3710	+	14.7432i	0.400947	+	0.477830i
$953$	−13.9637	+	38.3650i	−0.452329	+	1.24276i	0.478752	+	0.877950i	$0.341089\pi$
$953$	−13.9637	+	38.3650i	−0.452329	+	1.24276i	−0.931081	+	0.364813i	$0.881133\pi$
$954$	−0.249139	+	1.41294i	−0.00806616	+	0.0457455i
$955$	−29.8213	−	32.0983i	−0.964994	−	1.03868i
$956$	−10.3490	+	3.76671i	−0.334709	+	0.121824i
$957$	21.5116	+	12.4198i	0.695373	+	0.401474i
$958$	2.87826	−	1.66176i	0.0929922	−	0.0536891i
$959$	27.2918	+	22.9006i	0.881299	+	0.739498i
$960$	1.92325	−	15.4275i	0.0620726	−	0.497921i
$961$	15.2128	+	26.3494i	0.490737	+	0.849981i
$962$	10.6508	+	6.14926i	0.343397	+	0.198260i
$963$	4.30322	+	11.8230i	0.138669	+	0.380990i
$964$	−2.27088	−	12.8788i	−0.0731401	−	0.414798i
$965$	−0.995679	+	0.420468i	−0.0320521	+	0.0135353i
$966$	9.90656	+	3.60569i	0.318738	+	0.116011i
$967$	−15.5302	−	18.5082i	−0.499419	−	0.595184i	0.456168	−	0.889894i	$-0.349222\pi$
$967$	−15.5302	−	18.5082i	−0.499419	−	0.595184i	−0.955587	+	0.294710i	$0.904777\pi$
$968$			9.69845i			0.311720i
$969$	−42.2377	−	19.8584i	−1.35687	−	0.637942i
$970$	5.75036	−	3.71922i	0.184633	−	0.119417i
$971$	21.2648	−	17.8433i	0.682420	−	0.572618i	−0.234292	−	0.972166i	$-0.575277\pi$
$971$	21.2648	−	17.8433i	0.682420	−	0.572618i	0.916712	+	0.399548i	$0.130833\pi$
$972$	5.15988	−	14.1766i	0.165503	−	0.454716i
$973$	25.0165	+	4.41109i	0.801992	+	0.141413i
$974$	−1.57534	−	8.93418i	−0.0504771	−	0.286270i
$975$	−3.15918	+	42.8962i	−0.101175	+	1.37378i
$976$	−14.0611	+	24.3545i	−0.450084	+	0.779568i
$977$	−3.08737	+	1.78249i	−0.0987737	+	0.0570270i	−0.548573	−	0.836103i	$-0.684829\pi$
$977$	−3.08737	+	1.78249i	−0.0987737	+	0.0570270i	0.449799	+	0.893130i	$0.351495\pi$
$978$	0.724001	−	0.862831i	0.0231510	−	0.0275903i
$979$	−4.12390	−	3.46036i	−0.131800	−	0.110594i
$980$	−9.85344	−	5.04357i	−0.314757	−	0.161111i
$981$	7.95201	−	13.7733i	0.253888	−	0.439747i
$982$	1.43444	+	3.94110i	0.0457749	+	0.125766i
$983$	1.61065	−	0.284002i	0.0513718	−	0.00905824i	−0.147903	−	0.989002i	$-0.547252\pi$
$983$	1.61065	−	0.284002i	0.0513718	−	0.00905824i	0.199275	+	0.979944i	$0.436141\pi$
$984$	3.79192	−	21.5050i	0.120882	−	0.685556i
$985$	0.629649	+	2.75052i	0.0200623	+	0.0876390i
$986$	10.3687	−	8.70041i	0.330208	−	0.277077i
$987$		−	25.6523i		−	0.816521i
$988$	28.1612	+	19.8515i	0.895927	+	0.631560i
$989$	18.4230			0.585818
$990$	−1.83642	−	0.565167i	−0.0583651	−	0.0179622i
$991$	−1.41335	−	0.514417i	−0.0448965	−	0.0163410i	0.319474	−	0.947595i	$-0.396494\pi$
$991$	−1.41335	−	0.514417i	−0.0448965	−	0.0163410i	−0.364371	+	0.931254i	$0.618716\pi$
$992$	−3.49639	−	0.616508i	−0.111010	−	0.0195741i
$993$	64.8521	−	11.4352i	2.05802	−	0.362885i
$994$	8.57954	−	3.12270i	0.272126	−	0.0990459i
$995$	−2.33188	−	46.1281i	−0.0739256	−	1.46236i
$996$	−12.4248	−	21.5204i	−0.393696	−	0.681901i
$997$	−33.0482	+	39.3853i	−1.04665	+	1.24734i	−0.0785117	+	0.996913i	$0.525017\pi$
$997$	−33.0482	+	39.3853i	−1.04665	+	1.24734i	−0.968134	+	0.250431i	$0.919428\pi$
$998$	6.92124	−	8.24842i	0.219088	−	0.261099i
$999$	13.2226	+	22.9023i	0.418346	+	0.724597i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.2.p.a.44.4	✓	48
3.2	odd	2		855.2.da.b.424.5		48
5.2	odd	4		475.2.l.f.101.5		48
5.3	odd	4		475.2.l.f.101.4		48
5.4	even	2	inner	95.2.p.a.44.5	yes	48
15.14	odd	2		855.2.da.b.424.4		48
19.4	even	9		1805.2.b.k.1084.10		24
19.15	odd	18		1805.2.b.l.1084.15		24
19.16	even	9	inner	95.2.p.a.54.5	yes	48
57.35	odd	18		855.2.da.b.244.4		48
95.4	even	18		1805.2.b.k.1084.15		24
95.23	odd	36		9025.2.a.cu.1.10		24
95.34	odd	18		1805.2.b.l.1084.10		24
95.42	odd	36		9025.2.a.cu.1.15		24
95.53	even	36		9025.2.a.ct.1.15		24
95.54	even	18	inner	95.2.p.a.54.4	yes	48
95.72	even	36		9025.2.a.ct.1.10		24
95.73	odd	36		475.2.l.f.301.4		48
95.92	odd	36		475.2.l.f.301.5		48
285.149	odd	18		855.2.da.b.244.5		48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.p.a.44.4	✓	48	1.1	even	1	trivial
95.2.p.a.44.5	yes	48	5.4	even	2	inner
95.2.p.a.54.4	yes	48	95.54	even	18	inner
95.2.p.a.54.5	yes	48	19.16	even	9	inner
475.2.l.f.101.4		48	5.3	odd	4
475.2.l.f.101.5		48	5.2	odd	4
475.2.l.f.301.4		48	95.73	odd	36
475.2.l.f.301.5		48	95.92	odd	36
855.2.da.b.244.4		48	57.35	odd	18
855.2.da.b.244.5		48	285.149	odd	18
855.2.da.b.424.4		48	15.14	odd	2
855.2.da.b.424.5		48	3.2	odd	2
1805.2.b.k.1084.10		24	19.4	even	9
1805.2.b.k.1084.15		24	95.4	even	18
1805.2.b.l.1084.10		24	95.34	odd	18
1805.2.b.l.1084.15		24	19.15	odd	18
9025.2.a.ct.1.10		24	95.72	even	36
9025.2.a.ct.1.15		24	95.53	even	36
9025.2.a.cu.1.10		24	95.23	odd	36
9025.2.a.cu.1.15		24	95.42	odd	36

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:	\( N \)	\(=\)	\( 95 = 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	95.p (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.288852 - 0.344240i) q^{2} +(-0.669279 + 1.83883i) q^{3} +(0.312230 - 1.77075i) q^{4} +(1.52197 + 1.63818i) q^{5} +(0.826320 - 0.300756i) q^{6} +(1.78470 + 1.03040i) q^{7} +(-1.47809 + 0.853374i) q^{8} +(-0.635222 - 0.533015i) q^{9} +O(q^{10})\)	\(q+(-0.288852 - 0.344240i) q^{2} +(-0.669279 + 1.83883i) q^{3} +(0.312230 - 1.77075i) q^{4} +(1.52197 + 1.63818i) q^{5} +(0.826320 - 0.300756i) q^{6} +(1.78470 + 1.03040i) q^{7} +(-1.47809 + 0.853374i) q^{8} +(-0.635222 - 0.533015i) q^{9} +(0.124303 - 0.997111i) q^{10} +(1.15299 + 1.99705i) q^{11} +(3.04713 + 1.75926i) q^{12} +(-1.50356 - 4.13099i) q^{13} +(-0.160809 - 0.911996i) q^{14} +(-4.03094 + 1.70224i) q^{15} +(-2.65854 - 0.967630i) q^{16} +(-3.51724 - 4.19168i) q^{17} +0.372631i q^{18} +(-3.07246 - 3.09192i) q^{19} +(3.37600 - 2.18353i) q^{20} +(-3.08918 + 2.59213i) q^{21} +(0.354418 - 0.973756i) q^{22} +(5.72917 + 1.01021i) q^{23} +(-0.579956 - 3.28909i) q^{24} +(-0.367241 + 4.98650i) q^{25} +(-0.987746 + 1.71083i) q^{26} +(-3.67876 + 2.12393i) q^{27} +(2.38181 - 2.83853i) q^{28} +(-4.21681 - 3.53833i) q^{29} +(1.75032 + 0.895918i) q^{30} +(-0.378916 + 0.656302i) q^{31} +(1.60231 + 4.40231i) q^{32} +(-4.44390 + 0.783579i) q^{33} +(-0.426984 + 2.42155i) q^{34} +(1.02828 + 4.49188i) q^{35} +(-1.14217 + 0.958394i) q^{36} -6.22555i q^{37} +(-0.176878 + 1.95077i) q^{38} +8.60248 q^{39} +(-3.64758 - 1.12256i) q^{40} +(6.14398 + 2.23623i) q^{41} +(1.78463 + 0.314678i) q^{42} +(3.11869 - 0.549909i) q^{43} +(3.89626 - 1.41812i) q^{44} +(-0.0936145 - 1.85184i) q^{45} +(-1.30713 - 2.26401i) q^{46} +(-4.08888 + 4.87293i) q^{47} +(3.55861 - 4.24099i) q^{48} +(-1.37657 - 2.38429i) q^{49} +(1.82263 - 1.31394i) q^{50} +(10.0618 - 3.66220i) q^{51} +(-7.78439 + 1.37260i) q^{52} +(3.79178 + 0.668594i) q^{53} +(1.79376 + 0.652874i) q^{54} +(-1.51669 + 4.92824i) q^{55} -3.51725 q^{56} +(7.74185 - 3.58037i) q^{57} +2.47365i q^{58} +(-1.95359 + 1.63926i) q^{59} +(1.75565 + 7.66927i) q^{60} +(1.72608 - 9.78909i) q^{61} +(0.335376 - 0.0591358i) q^{62} +(-0.584464 - 1.60580i) q^{63} +(-1.77654 + 3.07705i) q^{64} +(4.47892 - 8.75031i) q^{65} +(1.55337 + 1.30343i) q^{66} +(-1.09447 + 1.30434i) q^{67} +(-8.52060 + 4.91937i) q^{68} +(-5.69201 + 9.85885i) q^{69} +(1.24926 - 1.65146i) q^{70} +(1.71201 + 9.70931i) q^{71} +(1.39377 + 0.245760i) q^{72} +(-3.49431 + 9.60054i) q^{73} +(-2.14308 + 1.79826i) q^{74} +(-8.92352 - 4.01265i) q^{75} +(-6.43433 + 4.47516i) q^{76} +4.75216i q^{77} +(-2.48484 - 2.96132i) q^{78} +(2.26642 + 0.824910i) q^{79} +(-2.46106 - 5.82786i) q^{80} +(-1.87541 - 10.6360i) q^{81} +(-1.00490 - 2.76094i) q^{82} +(-6.11633 - 3.53126i) q^{83} +(3.62547 + 6.27950i) q^{84} +(1.51360 - 12.1415i) q^{85} +(-1.09014 - 0.914734i) q^{86} +(9.32860 - 5.38587i) q^{87} +(-3.40845 - 1.96787i) q^{88} +(-2.19373 + 0.798452i) q^{89} +(-0.610435 + 0.567131i) q^{90} +(1.57316 - 8.92183i) q^{91} +(3.57764 - 9.82950i) q^{92} +(-0.953226 - 1.13601i) q^{93} +2.85854 q^{94} +(0.388935 - 9.73903i) q^{95} -9.16749 q^{96} +(4.38085 + 5.22089i) q^{97} +(-0.423142 + 1.16257i) q^{98} +(0.332047 - 1.88313i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q - 18 q^{4} - 6 q^{5} - 6 q^{6} - 12 q^{9}+O(q^{10}) \) 48 * q - 18 * q^4 - 6 * q^5 - 6 * q^6 - 12 * q^9	\( 48 q - 18 q^{4} - 6 q^{5} - 6 q^{6} - 12 q^{9} - 15 q^{10} - 12 q^{11} + 6 q^{14} + 3 q^{15} - 42 q^{16} + 12 q^{19} + 42 q^{20} - 54 q^{21} + 24 q^{24} + 12 q^{25} + 12 q^{26} + 18 q^{30} - 42 q^{31} - 36 q^{34} + 6 q^{35} + 18 q^{36} - 48 q^{39} + 66 q^{40} + 6 q^{41} - 6 q^{44} - 9 q^{45} - 6 q^{46} + 12 q^{49} - 18 q^{50} + 108 q^{51} + 24 q^{54} + 36 q^{56} - 36 q^{59} - 114 q^{60} + 48 q^{61} - 18 q^{65} + 180 q^{66} + 66 q^{69} - 123 q^{70} - 24 q^{71} + 84 q^{74} + 72 q^{75} + 66 q^{76} + 48 q^{79} - 39 q^{80} - 78 q^{81} - 54 q^{84} - 84 q^{85} - 42 q^{86} - 12 q^{89} + 18 q^{90} - 30 q^{91} - 72 q^{94} - 63 q^{95} - 240 q^{96} - 36 q^{99}+O(q^{100}) \) 48 * q - 18 * q^4 - 6 * q^5 - 6 * q^6 - 12 * q^9 - 15 * q^10 - 12 * q^11 + 6 * q^14 + 3 * q^15 - 42 * q^16 + 12 * q^19 + 42 * q^20 - 54 * q^21 + 24 * q^24 + 12 * q^25 + 12 * q^26 + 18 * q^30 - 42 * q^31 - 36 * q^34 + 6 * q^35 + 18 * q^36 - 48 * q^39 + 66 * q^40 + 6 * q^41 - 6 * q^44 - 9 * q^45 - 6 * q^46 + 12 * q^49 - 18 * q^50 + 108 * q^51 + 24 * q^54 + 36 * q^56 - 36 * q^59 - 114 * q^60 + 48 * q^61 - 18 * q^65 + 180 * q^66 + 66 * q^69 - 123 * q^70 - 24 * q^71 + 84 * q^74 + 72 * q^75 + 66 * q^76 + 48 * q^79 - 39 * q^80 - 78 * q^81 - 54 * q^84 - 84 * q^85 - 42 * q^86 - 12 * q^89 + 18 * q^90 - 30 * q^91 - 72 * q^94 - 63 * q^95 - 240 * q^96 - 36 * q^99

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