LMFDB - Embedded newform 354.3.h.a.71.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [354,3,Mod(5,354)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(354, base_ring=CyclotomicField(58))

chi = DirichletCharacter(H, H._module([29, 6]))

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("354.5");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 354 = 2 \cdot 3 \cdot 59 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	354.h (of order $58$, degree $28$, 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:	$9.64580135835$
Analytic rank:	$0$
Dimension:	$1120$
Relative dimension:	$40$ over $\Q(\zeta_{58})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label			71.5
Character	$\chi$	$=$	354.71
Dual form			354.3.h.a.5.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.451561 - 1.34018i) q^{2} +(-1.87528 - 2.34165i) q^{3} +(-1.59219 + 1.21035i) q^{4} +(-7.13337 + 2.84219i) q^{5} +(-2.29144 + 3.57062i) q^{6} +(1.14957 + 0.531850i) q^{7} +(2.34106 + 1.58728i) q^{8} +(-1.96666 + 8.78250i) q^{9} +O(q^{10})$	\(q+(-0.451561 - 1.34018i) q^{2} +(-1.87528 - 2.34165i) q^{3} +(-1.59219 + 1.21035i) q^{4} +(-7.13337 + 2.84219i) q^{5} +(-2.29144 + 3.57062i) q^{6} +(1.14957 + 0.531850i) q^{7} +(2.34106 + 1.58728i) q^{8} +(-1.96666 + 8.78250i) q^{9} +(7.03021 + 8.27660i) q^{10} +(3.29655 - 0.915283i) q^{11} +(5.82001 + 1.45860i) q^{12} +(3.53526 + 6.66820i) q^{13} +(0.193674 - 1.78080i) q^{14} +(20.0325 + 11.3739i) q^{15} +(1.07011 - 3.85420i) q^{16} +(-9.75211 - 21.0788i) q^{17} +(12.6582 - 1.33014i) q^{18} +(9.04073 + 1.99001i) q^{19} +(7.91760 - 13.1592i) q^{20} +(-0.910366 - 3.68927i) q^{21} +(-2.71524 - 4.00468i) q^{22} +(1.75880 - 0.288341i) q^{23} +(-0.673288 - 8.45853i) q^{24} +(24.6570 - 23.3563i) q^{25} +(7.34023 - 7.74899i) q^{26} +(24.2536 - 11.8644i) q^{27} +(-2.47406 + 0.544582i) q^{28} +(-1.28084 + 3.80139i) q^{29} +(6.19731 - 31.9832i) q^{30} +(8.69040 - 1.91290i) q^{31} +(-5.64856 + 0.306256i) q^{32} +(-8.32522 - 6.00296i) q^{33} +(-23.8459 + 22.5880i) q^{34} +(-9.71195 - 0.526567i) q^{35} +(-7.49859 - 16.3637i) q^{36} +(10.1856 + 15.0227i) q^{37} +(-1.41545 - 13.0148i) q^{38} +(8.98501 - 20.7831i) q^{39} +(-21.2110 - 4.66889i) q^{40} +(21.7305 + 3.56253i) q^{41} +(-4.53321 + 2.88599i) q^{42} +(3.51177 - 12.6482i) q^{43} +(-4.14091 + 5.44728i) q^{44} +(-10.9326 - 68.2384i) q^{45} +(-1.18063 - 2.22691i) q^{46} +(78.8513 + 31.4172i) q^{47} +(-11.0320 + 4.72187i) q^{48} +(-30.6833 - 36.1231i) q^{49} +(-42.4359 - 22.4981i) q^{50} +(-31.0714 + 62.3647i) q^{51} +(-13.6996 - 6.33812i) q^{52} +(-3.42585 - 2.90994i) q^{53} +(-26.8524 - 27.1468i) q^{54} +(-20.9141 + 15.8985i) q^{55} +(1.84703 + 3.06978i) q^{56} +(-12.2940 - 24.9021i) q^{57} +5.67293 q^{58} +(-24.5882 + 53.6323i) q^{59} +(-45.6619 + 6.13682i) q^{60} +(92.3366 - 31.1118i) q^{61} +(-6.48788 - 10.7829i) q^{62} +(-6.93179 + 9.05017i) q^{63} +(2.96111 + 7.43181i) q^{64} +(-44.1706 - 37.5188i) q^{65} +(-4.28573 + 13.8680i) q^{66} +(15.6576 - 23.0932i) q^{67} +(41.0399 + 21.7580i) q^{68} +(-3.97344 - 3.57778i) q^{69} +(3.67984 + 13.2536i) q^{70} +(61.6099 + 24.5476i) q^{71} +(-18.5443 + 17.4387i) q^{72} +(115.937 + 12.6090i) q^{73} +(15.5337 - 20.4343i) q^{74} +(-100.931 - 13.9384i) q^{75} +(-16.8031 + 7.77396i) q^{76} +(4.27642 + 0.701084i) q^{77} +(-31.9104 - 2.65675i) q^{78} +(-2.13064 - 1.28196i) q^{79} +(3.32087 + 30.5349i) q^{80} +(-73.2645 - 34.5444i) q^{81} +(-5.03818 - 30.7316i) q^{82} +(75.6797 + 4.10323i) q^{83} +(5.91477 + 4.77214i) q^{84} +(129.475 + 122.646i) q^{85} +(-18.5367 + 1.00503i) q^{86} +(11.3034 - 4.12939i) q^{87} +(9.17022 + 3.08981i) q^{88} +(-23.1533 + 68.7165i) q^{89} +(-86.5152 + 45.4655i) q^{90} +(0.517559 + 9.54582i) q^{91} +(-2.45135 + 2.58785i) q^{92} +(-20.7763 - 16.7627i) q^{93} +(6.49873 - 119.862i) q^{94} +(-70.1468 + 11.5000i) q^{95} +(11.3098 + 12.6526i) q^{96} +(151.308 - 16.4557i) q^{97} +(-34.5563 + 57.4330i) q^{98} +(1.55527 + 30.7520i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1120 q + 80 q^{4} - 8 q^{6} - 8 q^{7} + 24 q^{9}+O(q^{10}) $ 1120 * q + 80 * q^4 - 8 * q^6 - 8 * q^7 + 24 * q^9	$ 1120 q + 80 q^{4} - 8 q^{6} - 8 q^{7} + 24 q^{9} + 16 q^{10} - 34 q^{15} - 160 q^{16} - 16 q^{18} - 24 q^{19} + 18 q^{21} + 16 q^{22} + 16 q^{24} + 216 q^{25} + 30 q^{27} + 16 q^{28} + 64 q^{30} - 96 q^{31} - 76 q^{33} - 80 q^{34} - 48 q^{36} + 200 q^{37} + 28 q^{39} - 32 q^{40} - 48 q^{42} + 104 q^{43} + 696 q^{45} - 32 q^{46} - 288 q^{49} + 1800 q^{51} + 852 q^{54} - 360 q^{55} + 76 q^{57} + 128 q^{58} - 280 q^{60} + 32 q^{61} - 1318 q^{63} + 320 q^{64} - 1512 q^{66} + 344 q^{67} - 2640 q^{69} - 192 q^{70} + 32 q^{72} - 40 q^{73} - 1014 q^{75} + 48 q^{76} - 96 q^{78} - 32 q^{79} - 336 q^{81} + 80 q^{82} - 36 q^{84} - 168 q^{85} + 162 q^{87} - 32 q^{88} - 112 q^{90} - 88 q^{91} + 316 q^{93} + 400 q^{94} - 32 q^{96} + 184 q^{97} + 148 q^{99}+O(q^{100}) $ 1120 * q + 80 * q^4 - 8 * q^6 - 8 * q^7 + 24 * q^9 + 16 * q^10 - 34 * q^15 - 160 * q^16 - 16 * q^18 - 24 * q^19 + 18 * q^21 + 16 * q^22 + 16 * q^24 + 216 * q^25 + 30 * q^27 + 16 * q^28 + 64 * q^30 - 96 * q^31 - 76 * q^33 - 80 * q^34 - 48 * q^36 + 200 * q^37 + 28 * q^39 - 32 * q^40 - 48 * q^42 + 104 * q^43 + 696 * q^45 - 32 * q^46 - 288 * q^49 + 1800 * q^51 + 852 * q^54 - 360 * q^55 + 76 * q^57 + 128 * q^58 - 280 * q^60 + 32 * q^61 - 1318 * q^63 + 320 * q^64 - 1512 * q^66 + 344 * q^67 - 2640 * q^69 - 192 * q^70 + 32 * q^72 - 40 * q^73 - 1014 * q^75 + 48 * q^76 - 96 * q^78 - 32 * q^79 - 336 * q^81 + 80 * q^82 - 36 * q^84 - 168 * q^85 + 162 * q^87 - 32 * q^88 - 112 * q^90 - 88 * q^91 + 316 * q^93 + 400 * q^94 - 32 * q^96 + 184 * q^97 + 148 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/354\mathbb{Z}\right)^\times$.

$n$	$61$	$119$
$\chi(n)$	$e\left(\frac{26}{29}\right)$	$-1$

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 $

$2$	−0.451561	−	1.34018i	−0.225780	−	0.670092i
$2$	−0.451561	−	1.34018i	−0.225780	−	0.670092i
$3$	−1.87528	−	2.34165i	−0.625093	−	0.780550i
$3$	−1.87528	−	2.34165i	−0.625093	−	0.780550i
$4$	−1.59219	+	1.21035i	−0.398047	+	0.302587i
$5$	−7.13337	+	2.84219i	−1.42667	+	0.568439i	−0.950448	−	0.310885i	$-0.899375\pi$
$5$	−7.13337	+	2.84219i	−1.42667	+	0.568439i	−0.476225	+	0.879323i	$0.657995\pi$
$6$	−2.29144	+	3.57062i	−0.381907	+	0.595103i
$7$	1.14957	+	0.531850i	0.164225	+	0.0759785i	0.500279	−	0.865864i	$-0.333231\pi$
$7$	1.14957	+	0.531850i	0.164225	+	0.0759785i	−0.336055	+	0.941843i	$0.609093\pi$
$8$	2.34106	+	1.58728i	0.292632	+	0.198410i
$9$	−1.96666	+	8.78250i	−0.218518	+	0.975833i
$10$	7.03021	+	8.27660i	0.703021	+	0.827660i
$11$	3.29655	−	0.915283i	0.299686	−	0.0832075i	−0.114430	−	0.993431i	$-0.536504\pi$
$11$	3.29655	−	0.915283i	0.299686	−	0.0832075i	0.414117	+	0.910224i	$0.364090\pi$
$12$	5.82001	+	1.45860i	0.485001	+	0.121550i
$13$	3.53526	+	6.66820i	0.271943	+	0.512938i	0.981440	−	0.191770i	$-0.0614227\pi$
$13$	3.53526	+	6.66820i	0.271943	+	0.512938i	−0.709497	+	0.704708i	$0.751078\pi$
$14$	0.193674	−	1.78080i	0.0138339	−	0.127200i
$15$	20.0325	+	11.3739i	1.33550	+	0.758263i
$16$	1.07011	−	3.85420i	0.0668821	−	0.240887i
$17$	−9.75211	−	21.0788i	−0.573653	−	1.23993i	−0.949651	−	0.313311i	$-0.898562\pi$
$17$	−9.75211	−	21.0788i	−0.573653	−	1.23993i	0.375997	−	0.926621i	$-0.377300\pi$
$18$	12.6582	−	1.33014i	0.703235	−	0.0738968i
$19$	9.04073	+	1.99001i	0.475828	+	0.104738i	0.446408	−	0.894830i	$-0.352703\pi$
$19$	9.04073	+	1.99001i	0.475828	+	0.104738i	0.0294197	+	0.999567i	$0.490634\pi$
$20$	7.91760	−	13.1592i	0.395880	−	0.657958i
$21$	−0.910366	−	3.68927i	−0.0433507	−	0.175679i
$22$	−2.71524	−	4.00468i	−0.123420	−	0.182031i
$23$	1.75880	−	0.288341i	0.0764696	−	0.0125366i	−0.123426	−	0.992354i	$-0.539388\pi$
$23$	1.75880	−	0.288341i	0.0764696	−	0.0125366i	0.199895	+	0.979817i	$0.435940\pi$
$24$	−0.673288	−	8.45853i	−0.0280537	−	0.352439i
$25$	24.6570	−	23.3563i	0.986278	−	0.934252i
$26$	7.34023	−	7.74899i	0.282317	−	0.298038i
$27$	24.2536	−	11.8644i	0.898281	−	0.439422i
$28$	−2.47406	+	0.544582i	−0.0883593	+	0.0194493i
$29$	−1.28084	+	3.80139i	−0.0441668	+	0.131082i	−0.967467	−	0.252996i	$-0.918584\pi$
$29$	−1.28084	+	3.80139i	−0.0441668	+	0.131082i	0.923301	+	0.384078i	$0.125481\pi$
$30$	6.19731	−	31.9832i	0.206577	−	1.06611i
$31$	8.69040	−	1.91290i	0.280336	−	0.0617065i	−0.0725770	−	0.997363i	$-0.523122\pi$
$31$	8.69040	−	1.91290i	0.280336	−	0.0617065i	0.352913	+	0.935656i	$0.385191\pi$
$32$	−5.64856	+	0.306256i	−0.176517	+	0.00957050i
$33$	−8.32522	−	6.00296i	−0.252280	−	0.181908i
$34$	−23.8459	+	22.5880i	−0.701349	+	0.664353i
$35$	−9.71195	−	0.526567i	−0.277484	−	0.0150448i
$36$	−7.49859	−	16.3637i	−0.208294	−	0.454548i
$37$	10.1856	+	15.0227i	0.275287	+	0.406018i	0.940050	−	0.341036i	$-0.110778\pi$
$37$	10.1856	+	15.0227i	0.275287	+	0.406018i	−0.664763	+	0.747054i	$0.731467\pi$
$38$	−1.41545	−	13.0148i	−0.0372487	−	0.342496i
$39$	8.98501	−	20.7831i	0.230385	−	0.532899i
$40$	−21.2110	−	4.66889i	−0.530274	−	0.116722i
$41$	21.7305	+	3.56253i	0.530012	+	0.0868911i	0.420845	−	0.907132i	$-0.361733\pi$
$41$	21.7305	+	3.56253i	0.530012	+	0.0868911i	0.109167	+	0.994023i	$0.465182\pi$
$42$	−4.53321	+	2.88599i	−0.107934	+	0.0687139i
$43$	3.51177	−	12.6482i	0.0816690	−	0.294145i	−0.911425	−	0.411466i	$-0.865017\pi$
$43$	3.51177	−	12.6482i	0.0816690	−	0.294145i	0.993094	+	0.117321i	$0.0374306\pi$
$44$	−4.14091	+	5.44728i	−0.0941116	+	0.123802i
$45$	−10.9326	−	68.2384i	−0.242948	−	1.51641i
$46$	−1.18063	−	2.22691i	−0.0256660	−	0.0484112i
$47$	78.8513	+	31.4172i	1.67769	+	0.668452i	0.997889	−	0.0649466i	$-0.0206877\pi$
$47$	78.8513	+	31.4172i	1.67769	+	0.668452i	0.679799	+	0.733398i	$0.262067\pi$
$48$	−11.0320	+	4.72187i	−0.229832	+	0.0983722i
$49$	−30.6833	−	36.1231i	−0.626189	−	0.737207i
$50$	−42.4359	−	22.4981i	−0.848717	−	0.449961i
$51$	−31.0714	+	62.3647i	−0.609242	+	1.22284i
$52$	−13.6996	−	6.33812i	−0.263454	−	0.121887i
$53$	−3.42585	−	2.90994i	−0.0646386	−	0.0549046i	0.614485	−	0.788929i	$-0.289364\pi$
$53$	−3.42585	−	2.90994i	−0.0646386	−	0.0549046i	−0.679123	+	0.734024i	$0.737640\pi$
$54$	−26.8524	−	27.1468i	−0.497267	−	0.502718i
$55$	−20.9141	+	15.8985i	−0.380256	+	0.289063i
$56$	1.84703	+	3.06978i	0.0329826	+	0.0548176i
$57$	−12.2940	−	24.9021i	−0.215684	−	0.436878i
$58$	5.67293			0.0978092
$59$	−24.5882	+	53.6323i	−0.416748	+	0.909022i
$59$	−24.5882	+	53.6323i	−0.416748	+	0.909022i
$60$	−45.6619	+	6.13682i	−0.761031	+	0.102280i
$61$	92.3366	−	31.1118i	1.51372	−	0.510030i	0.564710	−	0.825290i	$-0.308988\pi$
$61$	92.3366	−	31.1118i	1.51372	−	0.510030i	0.949005	+	0.315260i	$0.102092\pi$
$62$	−6.48788	−	10.7829i	−0.104643	−	0.173919i
$63$	−6.93179	+	9.05017i	−0.110028	+	0.143653i
$64$	2.96111	+	7.43181i	0.0462673	+	0.116122i
$65$	−44.1706	−	37.5188i	−0.679547	−	0.577213i
$66$	−4.28573	+	13.8680i	−0.0649353	+	0.210122i
$67$	15.6576	−	23.0932i	0.233695	−	0.344674i	−0.692701	−	0.721225i	$-0.743579\pi$
$67$	15.6576	−	23.0932i	0.233695	−	0.344674i	0.926396	+	0.376550i	$0.122890\pi$
$68$	41.0399	+	21.7580i	0.603528	+	0.319970i
$69$	−3.97344	−	3.57778i	−0.0575860	−	0.0518519i
$70$	3.67984	+	13.2536i	0.0525691	+	0.189337i
$71$	61.6099	+	24.5476i	0.867745	+	0.345741i	0.761161	−	0.648563i	$-0.224630\pi$
$71$	61.6099	+	24.5476i	0.867745	+	0.345741i	0.106583	+	0.994304i	$0.466009\pi$
$72$	−18.5443	+	17.4387i	−0.257560	+	0.242204i
$73$	115.937	+	12.6090i	1.58818	+	0.172725i	0.859140	−	0.511741i	$-0.170999\pi$
$73$	115.937	+	12.6090i	1.58818	+	0.172725i	0.729044	+	0.684467i	$0.239965\pi$
$74$	15.5337	−	20.4343i	0.209915	−	0.276139i
$75$	−100.931	−	13.9384i	−1.34575	−	0.185845i
$76$	−16.8031	+	7.77396i	−0.221094	+	0.102289i
$77$	4.27642	+	0.701084i	0.0555380	+	0.00910499i
$78$	−31.9104	−	2.65675i	−0.409108	−	0.0340609i
$79$	−2.13064	−	1.28196i	−0.0269701	−	0.0162274i	0.502005	−	0.864865i	$-0.332596\pi$
$79$	−2.13064	−	1.28196i	−0.0269701	−	0.0162274i	−0.528975	+	0.848637i	$0.677423\pi$
$80$	3.32087	+	30.5349i	0.0415109	+	0.381686i
$81$	−73.2645	−	34.5444i	−0.904500	−	0.426474i
$82$	−5.03818	−	30.7316i	−0.0614413	−	0.374775i
$83$	75.6797	+	4.10323i	0.911804	+	0.0494366i	0.504069	−	0.863664i	$-0.331836\pi$
$83$	75.6797	+	4.10323i	0.911804	+	0.0494366i	0.407735	+	0.913100i	$0.366319\pi$
$84$	5.91477	+	4.77214i	0.0704140	+	0.0568112i
$85$	129.475	+	122.646i	1.52324	+	1.44289i
$86$	−18.5367	+	1.00503i	−0.215544	+	0.0116864i
$87$	11.3034	−	4.12939i	0.129925	−	0.0474642i
$88$	9.17022	+	3.08981i	0.104207	+	0.0351115i
$89$	−23.1533	+	68.7165i	−0.260149	+	0.772096i	0.735381	+	0.677654i	$0.237003\pi$
$89$	−23.1533	+	68.7165i	−0.260149	+	0.772096i	−0.995530	+	0.0944419i	$0.969893\pi$
$90$	−86.5152	+	45.4655i	−0.961280	+	0.505172i
$91$	0.517559	+	9.54582i	0.00568746	+	0.104899i
$92$	−2.45135	+	2.58785i	−0.0266451	+	0.0281288i
$93$	−20.7763	−	16.7627i	−0.223401	−	0.180244i
$94$	6.49873	−	119.862i	0.0691355	−	1.27513i
$95$	−70.1468	+	11.5000i	−0.738387	+	0.121052i
$96$	11.3098	+	12.6526i	0.117810	+	0.131798i
$97$	151.308	−	16.4557i	1.55988	−	0.169647i	0.712895	−	0.701271i	$-0.247384\pi$
$97$	151.308	−	16.4557i	1.55988	−	0.169647i	0.846981	+	0.531624i	$0.178418\pi$
$98$	−34.5563	+	57.4330i	−0.352615	+	0.586051i
$99$	1.55527	+	30.7520i	0.0157098	+	0.310626i
$100$	−10.9892	+	67.0311i	−0.109892	+	0.670311i
$101$	24.9010	+	53.8226i	0.246544	+	0.532897i	0.990854	−	0.134938i	$-0.0430834\pi$
$101$	24.9010	+	53.8226i	0.246544	+	0.532897i	−0.744310	+	0.667835i	$0.767221\pi$
$102$	97.6108	+	13.4799i	0.956969	+	0.132156i
$103$	−39.7884	−	30.2464i	−0.386295	−	0.293654i	0.393945	−	0.919134i	$-0.371110\pi$
$103$	−39.7884	−	30.2464i	−0.386295	−	0.293654i	−0.780240	+	0.625480i	$0.784903\pi$
$104$	−2.30804	+	21.2221i	−0.0221927	+	0.204058i
$105$	16.9796	+	23.7295i	0.161710	+	0.225995i
$106$	−2.35288	+	5.90528i	−0.0221970	+	0.0557102i
$107$	−59.9995	+	16.6588i	−0.560743	+	0.155690i	−0.536324	−	0.844012i	$-0.680187\pi$
$107$	−59.9995	+	16.6588i	−0.560743	+	0.155690i	−0.0244192	+	0.999702i	$0.507774\pi$
$108$	−24.2562	+	48.2456i	−0.224594	+	0.446719i
$109$	−36.9405	+	69.6772i	−0.338904	+	0.639240i	−0.993124	−	0.117064i	$-0.962652\pi$
$109$	−36.9405	+	69.6772i	−0.338904	+	0.639240i	0.654221	+	0.756304i	$0.272997\pi$
$110$	30.7509	+	20.8496i	0.279553	+	0.189542i
$111$	16.0770	−	52.0229i	0.144838	−	0.468675i
$112$	3.28003	−	3.86155i	0.0292860	−	0.0344781i
$113$	−29.8603	+	11.8974i	−0.264251	+	0.105287i	−0.498501	−	0.866889i	$-0.666116\pi$
$113$	−29.8603	+	11.8974i	−0.264251	+	0.105287i	0.234250	+	0.972176i	$0.424737\pi$
$114$	−27.8219	+	27.7210i	−0.244052	+	0.243166i
$115$	−11.7266	+	7.05569i	−0.101971	+	0.0613538i
$116$	−2.56167	−	7.60277i	−0.0220834	−	0.0655411i
$117$	−65.5161	+	17.9343i	−0.559967	+	0.153285i
$118$	82.9802	+	8.73443i	0.703222	+	0.0740206i
$119$		−	29.4183i		−	0.247213i
$120$	28.8436	+	58.4242i	0.240363	+	0.486868i
$121$	−93.6502	+	56.3475i	−0.773969	+	0.465682i
$122$	−83.3912	−	109.699i	−0.683534	−	0.899174i
$123$	−32.4085	−	57.5660i	−0.263484	−	0.468016i
$124$	−11.5215	+	13.5641i	−0.0929150	+	0.109388i
$125$	−28.8985	+	62.4631i	−0.231188	+	0.499705i
$126$	15.2590	+	5.20318i	0.121103	+	0.0412950i
$127$	−56.1122	+	105.839i	−0.441828	+	0.833376i	0.558165	+	0.829730i	$0.311506\pi$
$127$	−56.1122	+	105.839i	−0.441828	+	0.833376i	−0.999993	+	0.00364656i	$0.998839\pi$
$128$	8.62288	−	7.32434i	0.0673662	−	0.0572214i
$129$	−36.2033	+	15.4956i	−0.280646	+	0.120121i
$130$	−30.3364	+	76.1387i	−0.233357	+	0.585682i
$131$	−215.018	+	113.995i	−1.64136	+	0.870193i	−0.647193	+	0.762326i	$0.724057\pi$
$131$	−215.018	+	113.995i	−1.64136	+	0.870193i	−0.994165	+	0.107867i	$0.965598\pi$
$132$	20.5210	−	0.518590i	0.155462	−	0.00392872i
$133$	9.33460	+	7.09598i	0.0701850	+	0.0533532i
$134$	−38.0194	−	10.5560i	−0.283727	−	0.0787765i
$135$	−139.289	+	153.566i	−1.03177	+	1.13753i
$136$	10.6277	−	64.8261i	0.0781448	−	0.476662i
$137$	46.7654	−	212.457i	0.341353	−	1.55078i	−0.423087	−	0.906089i	$-0.639053\pi$
$137$	46.7654	−	212.457i	0.341353	−	1.55078i	0.764440	−	0.644695i	$-0.223016\pi$
$138$	−3.00064	+	6.94072i	−0.0217437	+	0.0502951i
$139$	148.128	−	16.1099i	1.06567	−	0.115898i	0.441556	−	0.897233i	$-0.354427\pi$
$139$	148.128	−	16.1099i	1.06567	−	0.115898i	0.624112	+	0.781335i	$0.285461\pi$
$140$	16.1006	−	10.9165i	0.115004	−	0.0779747i
$141$	−74.3000	−	243.558i	−0.526950	−	1.72736i
$142$	5.07773	−	93.6533i	0.0357587	−	0.659530i
$143$	17.7574	+	18.7463i	0.124178	+	0.131093i
$144$	31.7449	+	16.9782i	0.220451	+	0.117904i
$145$	−1.66760	−	30.7571i	−0.0115007	−	0.212118i
$146$	−35.4545	−	161.071i	−0.242839	−	1.10323i
$147$	−27.0481	+	139.590i	−0.184001	+	0.949595i
$148$	−34.4001	−	11.5907i	−0.232433	−	0.0783158i
$149$	51.3415	+	233.247i	0.344574	+	1.56541i	0.756373	+	0.654140i	$0.226969\pi$
$149$	51.3415	+	233.247i	0.344574	+	1.56541i	−0.411799	+	0.911275i	$0.635100\pi$
$150$	26.8964	+	141.560i	0.179310	+	0.943734i
$151$	−146.504	−	138.776i	−0.970224	−	0.919045i	0.0265226	−	0.999648i	$-0.491557\pi$
$151$	−146.504	−	138.776i	−0.970224	−	0.919045i	−0.996746	+	0.0806035i	$0.974315\pi$
$152$	18.0062	+	19.0089i	0.118462	+	0.125058i
$153$	204.304	−	44.1930i	1.33532	−	0.288843i
$154$	−0.991482	−	6.04778i	−0.00643820	−	0.0392713i
$155$	−56.5550	+	38.3452i	−0.364871	+	0.247389i
$156$	10.8489	+	43.9655i	0.0695445	+	0.281830i
$157$	113.521	+	68.3030i	0.723061	+	0.435051i	0.828947	−	0.559327i	$-0.188940\pi$
$157$	113.521	+	68.3030i	0.723061	+	0.435051i	−0.105886	+	0.994378i	$0.533768\pi$
$158$	−0.755953	+	3.43433i	−0.00478451	+	0.0217363i
$159$	−0.389648	+	13.4791i	−0.00245062	+	0.0847742i
$160$	39.4228	−	18.2389i	0.246392	−	0.113993i
$161$	2.17523	+	0.603949i	0.0135107	+	0.00375123i
$162$	−13.2124	+	113.787i	−0.0815583	+	0.702388i
$163$	−96.9702	−	10.5461i	−0.594909	−	0.0647003i	−0.194289	−	0.980944i	$-0.562240\pi$
$163$	−96.9702	−	10.5461i	−0.594909	−	0.0647003i	−0.400620	+	0.916244i	$0.631205\pi$
$164$	−38.9109	+	20.6293i	−0.237262	+	0.125788i
$165$	76.4484	+	19.1594i	0.463324	+	0.116118i
$166$	−28.6749	−	103.278i	−0.172740	−	0.622154i
$167$	72.7539	−	61.7977i	0.435652	−	0.370046i	−0.402557	−	0.915395i	$-0.631879\pi$
$167$	72.7539	−	61.7977i	0.435652	−	0.370046i	0.838209	+	0.545349i	$0.183603\pi$
$168$	3.72467	−	10.0818i	0.0221707	−	0.0600107i
$169$	62.8738	−	92.7319i	0.372034	−	0.548709i
$170$	105.902	−	228.903i	0.622952	−	1.34649i
$171$	−35.2573	+	75.4865i	−0.206183	+	0.441441i
$172$	9.71739	+	24.3888i	0.0564965	+	0.141795i
$173$	26.6689	+	35.0823i	0.154156	+	0.202788i	0.866687	−	0.498852i	$-0.166245\pi$
$173$	26.6689	+	35.0823i	0.154156	+	0.202788i	−0.712532	+	0.701640i	$0.752452\pi$
$174$	−10.6383	−	13.2840i	−0.0611398	−	0.0763450i
$175$	40.7670	−	13.7360i	0.232955	−	0.0784915i
$176$		−	13.6850i		−	0.0777558i
$177$	171.698	−	42.9986i	0.970044	−	0.242930i
$178$	102.548			0.576112
$179$	98.0399	+	290.972i	0.547709	+	1.62554i	0.761142	+	0.648585i	$0.224639\pi$
$179$	98.0399	+	290.972i	0.547709	+	1.62554i	−0.213433	+	0.976958i	$0.568465\pi$
$180$	99.9990	+	95.4159i	0.555550	+	0.530088i
$181$	15.9733	−	12.1426i	0.0882502	−	0.0670861i	−0.560119	−	0.828412i	$-0.689245\pi$
$181$	15.9733	−	12.1426i	0.0882502	−	0.0670861i	0.648369	+	0.761326i	$0.275451\pi$
$182$	12.5594	−	5.00414i	0.0690079	−	0.0274953i
$183$	−246.010	−	157.877i	−1.34432	−	0.862715i
$184$	4.57513	+	2.11668i	0.0248648	+	0.0115037i
$185$	−115.355	−	78.2127i	−0.623541	−	0.422771i
$186$	−13.0833	+	35.4134i	−0.0703404	+	0.190395i
$187$	−51.4414	−	60.5615i	−0.275088	−	0.323858i
$188$	−163.572	+	45.4155i	−0.870063	+	0.241572i
$189$	34.1914	−	0.739749i	0.180907	−	0.00391401i
$190$	47.0876	+	88.8167i	0.247830	+	0.467456i
$191$	32.6881	−	300.562i	0.171142	−	1.57363i	−0.522077	−	0.852898i	$-0.674843\pi$
$191$	32.6881	−	300.562i	0.171142	−	1.57363i	0.693219	−	0.720727i	$-0.256192\pi$
$192$	11.8498	−	20.8706i	0.0617178	−	0.108701i
$193$	27.5862	−	99.3564i	0.142934	−	0.514800i	−0.857066	−	0.515206i	$-0.827715\pi$
$193$	27.5862	−	99.3564i	0.142934	−	0.514800i	1.00000		0.000405877i	$0.000129195\pi$
$194$	−90.3784	−	195.350i	−0.465868	−	1.00696i
$195$	−5.02386	+	173.790i	−0.0257634	+	0.891232i
$196$	92.5751	+	20.3773i	0.472322	+	0.103966i
$197$	99.2682	−	164.985i	0.503899	−	0.837487i	−0.495618	−	0.868540i	$-0.665059\pi$
$197$	99.2682	−	164.985i	0.503899	−	0.837487i	0.999518	+	0.0310532i	$0.00988612\pi$
$198$	40.5110	−	15.9707i	0.204601	−	0.0806603i
$199$	−71.3614	−	105.250i	−0.358600	−	0.528896i	0.605006	−	0.796221i	$-0.293171\pi$
$199$	−71.3614	−	105.250i	−0.358600	−	0.528896i	−0.963606	+	0.267325i	$0.913860\pi$
$200$	94.7963	−	15.5411i	0.473981	−	0.0777053i
$201$	−83.4385	+	6.64159i	−0.415117	+	0.0330428i
$202$	60.8879	−	57.6761i	0.301425	−	0.285525i
$203$	−3.49418	+	3.68876i	−0.0172127	+	0.0181712i
$204$	−26.0117	−	136.903i	−0.127508	−	0.671095i
$205$	−165.137	+	36.3494i	−0.805546	+	0.177314i
$206$	−22.5688	+	66.9818i	−0.109557	+	0.325155i
$207$	−0.926611	+	16.0137i	−0.00447638	+	0.0773610i
$208$	29.4837	−	6.48985i	0.141749	−	0.0312012i
$209$	31.6246	−	1.71464i	0.151314	−	0.00820401i
$210$	24.1345	−	33.4711i	0.114926	−	0.159386i
$211$	−159.509	+	151.095i	−0.755966	+	0.716089i	−0.965124	−	0.261793i	$-0.915686\pi$
$211$	−159.509	+	151.095i	−0.755966	+	0.716089i	0.209158	+	0.977882i	$0.432928\pi$
$212$	8.97663	+	0.486699i	0.0423426	+	0.00229575i
$213$	−58.0537	−	190.302i	−0.272553	−	0.893439i
$214$	49.4193	+	72.8879i	0.230931	+	0.340598i
$215$	10.8980	+	100.206i	0.0506885	+	0.466073i
$216$	75.6111	+	10.7219i	0.350051	+	0.0496384i
$217$	11.0076	+	2.42297i	0.0507265	+	0.0111657i
$218$	110.061	+	18.0436i	0.504867	+	0.0827688i
$219$	−187.889	−	295.130i	−0.857942	−	1.34763i
$220$	14.0564	−	50.6267i	0.0638929	−	0.230121i
$221$	106.082	−	139.548i	0.480008	−	0.631439i
$222$	−76.9800	+	1.94538i	−0.346757	+	0.00876296i
$223$	126.532	+	238.664i	0.567407	+	1.07024i	0.986724	+	0.162404i	$0.0519247\pi$
$223$	126.532	+	238.664i	0.567407	+	1.07024i	−0.419317	+	0.907840i	$0.637730\pi$
$224$	−6.65632	−	2.65212i	−0.0297157	−	0.0118398i
$225$	156.635	+	262.484i	0.696155	+	1.16659i
$226$	29.4285	+	34.6459i	0.130215	+	0.153301i
$227$	−4.91085	−	2.60357i	−0.0216337	−	0.0114695i	0.457556	−	0.889181i	$-0.348725\pi$
$227$	−4.91085	−	2.60357i	−0.0216337	−	0.0114695i	−0.479190	+	0.877711i	$0.659070\pi$
$228$	49.7144	+	24.7687i	0.218046	+	0.108635i
$229$	−20.9095	−	9.67374i	−0.0913076	−	0.0422434i	0.373704	−	0.927548i	$-0.378088\pi$
$229$	−20.9095	−	9.67374i	−0.0913076	−	0.0422434i	−0.465011	+	0.885305i	$0.653950\pi$
$230$	14.7512	+	12.5298i	0.0641357	+	0.0544774i
$231$	−6.37779	−	11.3286i	−0.0276095	−	0.0490416i
$232$	−9.03236	+	6.86622i	−0.0389326	+	0.0295958i
$233$	118.475	+	196.906i	0.508475	+	0.845092i	0.999663	−	0.0259618i	$-0.00826484\pi$
$233$	118.475	+	196.906i	0.508475	+	0.845092i	−0.491188	+	0.871053i	$0.663437\pi$
$234$	53.6197	+	79.7052i	0.229144	+	0.340620i
$235$	−651.769			−2.77349
$236$	−25.7648	−	115.153i	−0.109173	−	0.487936i
$237$	0.993631	+	7.39324i	0.00419253	+	0.0311951i
$238$	−39.4260	+	13.2842i	−0.165655	+	0.0558158i
$239$	−144.184	−	239.636i	−0.603281	−	1.00266i	−0.996530	−	0.0832295i	$-0.973477\pi$
$239$	−144.184	−	239.636i	−0.603281	−	1.00266i	0.393249	−	0.919432i	$-0.371351\pi$
$240$	65.2745	−	65.0377i	0.271977	−	0.270991i
$241$	−57.3363	−	143.903i	−0.237910	−	0.597109i	0.760740	−	0.649057i	$-0.224836\pi$
$241$	−57.3363	−	143.903i	−0.237910	−	0.597109i	−0.998650	+	0.0519481i	$0.983457\pi$
$242$	117.805	+	100.064i	0.486796	+	0.413489i
$243$	56.5005	+	236.340i	0.232512	+	0.972593i
$244$	−109.361	+	161.295i	−0.448201	+	0.661046i
$245$	321.544	+	170.472i	1.31242	+	0.695803i
$246$	−62.5146	+	69.4279i	−0.254124	+	0.282227i
$247$	18.6915	+	67.3206i	0.0756740	+	0.272553i
$248$	23.3810	+	9.31586i	0.0942784	+	0.0375640i
$249$	−132.312	−	184.910i	−0.531374	−	0.742611i
$250$	96.7615	+	10.5234i	0.387046	+	0.0420938i
$251$	−10.2133	+	13.4354i	−0.0406906	+	0.0535276i	−0.815988	−	0.578068i	$-0.803807\pi$
$251$	−10.2133	+	13.4354i	−0.0406906	+	0.0535276i	0.775298	+	0.631596i	$0.217600\pi$
$252$	0.0828464	−	22.7994i	0.000328756	−	0.0904739i
$253$	5.53406	−	2.56033i	0.0218738	−	0.0101199i
$254$	167.182	+	27.4080i	0.658195	+	0.107906i
$255$	44.3908	−	533.181i	0.174082	−	2.09091i
$256$	−13.7097	−	8.24886i	−0.0535536	−	0.0322221i
$257$	−48.9794	−	450.358i	−0.190581	−	1.75237i	−0.564985	−	0.825101i	$-0.691118\pi$
$257$	−48.9794	−	450.358i	−0.190581	−	1.75237i	0.374404	−	0.927266i	$-0.377847\pi$
$258$	37.1150	+	41.5219i	0.143857	+	0.160937i
$259$	3.71933	+	22.6869i	0.0143603	+	0.0875942i
$260$	115.739	+	6.27517i	0.445149	+	0.0241353i
$261$	−30.8667	−	18.7250i	−0.118263	−	0.0717432i
$262$	249.868	+	236.688i	0.953696	+	0.903389i
$263$	411.636	−	22.3182i	1.56516	−	0.0848603i	0.748952	−	0.662625i	$-0.230557\pi$
$263$	411.636	−	22.3182i	1.56516	−	0.0848603i	0.816204	+	0.577764i	$0.196075\pi$
$264$	−9.96147	−	27.2677i	−0.0377329	−	0.103287i
$265$	32.7084	+	11.0208i	0.123428	+	0.0415878i
$266$	5.29478	−	15.7143i	0.0199052	−	0.0590765i
$267$	204.329	−	74.6457i	0.765277	−	0.279572i
$268$	3.02104	+	55.7197i	0.0112725	+	0.207910i
$269$	166.551	−	175.826i	0.619148	−	0.653627i	−0.338702	−	0.940894i	$-0.609988\pi$
$269$	166.551	−	175.826i	0.619148	−	0.653627i	0.957851	+	0.287267i	$0.0927466\pi$
$270$	268.705	+	117.328i	0.995202	+	0.434548i
$271$	11.5095	−	212.279i	0.0424703	−	0.783319i	−0.897281	−	0.441460i	$-0.854461\pi$
$271$	11.5095	−	212.279i	0.0424703	−	0.783319i	0.939751	−	0.341859i	$-0.111056\pi$
$272$	−91.6779	+	15.0298i	−0.337051	+	0.0552567i
$273$	21.3824	−	19.1130i	0.0783238	−	0.0700110i
$274$	−305.849	+	33.2631i	−1.11624	+	0.121398i
$275$	59.9053	−	99.5633i	0.217837	−	0.362049i
$276$	10.6568	+	0.887249i	0.0386116	+	0.00321467i
$277$	54.8924	−	334.829i	0.198167	−	1.20877i	−0.681010	−	0.732274i	$-0.738459\pi$
$277$	54.8924	−	334.829i	0.198167	−	1.20877i	0.879178	−	0.476494i	$-0.158093\pi$
$278$	−88.4789	−	191.244i	−0.318269	−	0.687928i
$279$	−0.291007	+	80.0855i	−0.00104304	+	0.287045i
$280$	−21.9004	−	16.6483i	−0.0782158	−	0.0594581i
$281$	43.8946	−	403.604i	0.156208	−	1.43631i	−0.609327	−	0.792919i	$-0.708560\pi$
$281$	43.8946	−	403.604i	0.156208	−	1.43631i	0.765535	−	0.643394i	$-0.222474\pi$
$282$	−292.862	+	209.557i	−1.03852	+	0.743110i
$283$	−80.7817	+	202.747i	−0.285448	+	0.716420i	0.714413	+	0.699724i	$0.246694\pi$
$283$	−80.7817	+	202.747i	−0.285448	+	0.716420i	−0.999861	+	0.0166955i	$0.994685\pi$
$284$	−127.806	+	35.4850i	−0.450020	+	0.124947i
$285$	158.474	+	142.694i	0.556048	+	0.500680i
$286$	17.1049	−	32.2633i	0.0598075	−	0.112809i
$287$	23.0861	+	15.6528i	0.0804393	+	0.0545392i
$288$	8.41910	−	50.2107i	0.0292330	−	0.174343i
$289$	−162.119	+	190.861i	−0.560966	+	0.660420i
$290$	−40.4671	+	16.1236i	−0.139542	+	0.0555985i
$291$	−322.278	−	323.451i	−1.10749	−	1.11152i
$292$	−199.855	+	120.249i	−0.684436	+	0.411811i
$293$	133.602	+	396.516i	0.455978	+	1.35330i	0.891461	+	0.453098i	$0.149681\pi$
$293$	133.602	+	396.516i	0.455978	+	1.35330i	−0.435482	+	0.900197i	$0.643422\pi$
$294$	199.291	−	26.7841i	0.677860	−	0.0911024i
$295$	22.9630	−	452.463i	0.0778408	−	1.53377i
$296$			51.3364i			0.173434i
$297$	69.0939	−	61.3105i	0.232639	−	0.206433i
$298$	289.410	−	174.132i	0.971174	−	0.584336i
$299$	8.14052	+	10.7087i	0.0272258	+	0.0358150i
$300$	177.571	−	99.9691i	0.591904	−	0.333230i
$301$	10.7640	−	12.6724i	0.0357608	−	0.0421009i
$302$	−119.830	+	259.008i	−0.396787	+	0.857641i
$303$	79.3375	−	159.242i	0.261840	−	0.525551i
$304$	17.3445	−	32.7152i	0.0570543	−	0.107616i
$305$	−570.245	+	484.371i	−1.86966	+	1.58810i
$306$	−151.482	−	253.849i	−0.495040	−	0.829572i
$307$	65.1707	−	163.566i	0.212282	−	0.532789i	−0.783820	−	0.620988i	$-0.786732\pi$
$307$	65.1707	−	163.566i	0.212282	−	0.532789i	0.996103	+	0.0881987i	$0.0281111\pi$
$308$	−7.65742	+	4.05971i	−0.0248617	+	0.0131809i
$309$	3.78793	+	149.891i	0.0122587	+	0.485084i
$310$	76.9277	+	58.4789i	0.248154	+	0.188642i
$311$	96.3120	+	26.7409i	0.309685	+	0.0859836i	0.418894	−	0.908035i	$-0.362418\pi$
$311$	96.3120	+	26.7409i	0.309685	+	0.0859836i	−0.109209	+	0.994019i	$0.534832\pi$
$312$	54.0229	−	34.3927i	0.173150	−	0.110233i
$313$	−18.2855	+	111.537i	−0.0584202	+	0.356347i	0.941398	+	0.337297i	$0.109513\pi$
$313$	−18.2855	+	111.537i	−0.0584202	+	0.356347i	−0.999819	+	0.0190505i	$0.993936\pi$
$314$	40.2772	−	182.981i	0.128271	−	0.582743i
$315$	23.7247	−	84.2596i	0.0753164	−	0.267491i
$316$	4.94399	−	0.537691i	0.0156455	−	0.00170155i
$317$	−335.920	+	227.759i	−1.05968	+	0.718484i	−0.960976	−	0.276633i	$-0.910781\pi$
$317$	−335.920	+	227.759i	−1.05968	+	0.718484i	−0.0987083	+	0.995116i	$0.531471\pi$
$318$	18.2404	−	5.56443i	0.0573598	−	0.0174982i
$319$	−0.742998	+	13.7038i	−0.00232915	+	0.0429586i
$320$	−42.2453	−	44.5978i	−0.132017	−	0.139368i
$321$	151.525	+	109.258i	0.472040	+	0.340368i
$322$	−0.172844	−	3.18792i	−0.000536783	−	0.00990038i
$323$	−46.2190	−	209.975i	−0.143093	−	0.650077i
$324$	158.461	−	33.6745i	0.489079	−	0.103934i
$325$	242.913	+	81.8470i	0.747425	+	0.251837i
$326$	29.6541	+	134.720i	0.0909636	+	0.413252i
$327$	232.433	−	44.1623i	0.710805	−	0.135053i
$328$	45.2176	+	42.8324i	0.137859	+	0.130587i
$329$	73.9362	+	78.0535i	0.224730	+	0.237245i
$330$	−8.84394	−	111.107i	−0.0267998	−	0.336687i
$331$	57.9844	+	353.689i	0.175179	+	1.06855i	0.917275	+	0.398253i	$0.130384\pi$
$331$	57.9844	+	353.689i	0.175179	+	1.06855i	−0.742096	+	0.670294i	$0.766168\pi$
$332$	−125.463	+	85.0657i	−0.377899	+	0.256222i
$333$	−151.968	+	59.9107i	−0.456361	+	0.179912i
$334$	−115.673	−	69.5982i	−0.346327	−	0.208378i
$335$	−46.0559	+	209.234i	−0.137480	+	0.624579i
$336$	−15.1934	−	0.439204i	−0.0452184	−	0.00130715i
$337$	269.256	−	124.571i	0.798979	−	0.369647i	0.0224652	−	0.999748i	$-0.492849\pi$
$337$	269.256	−	124.571i	0.798979	−	0.369647i	0.776513	+	0.630101i	$0.216986\pi$
$338$	−152.669	−	42.3884i	−0.451684	−	0.125409i
$339$	83.8561	+	47.6114i	0.247363	+	0.140447i
$340$	−354.593	−	38.5643i	−1.04292	−	0.113424i
$341$	26.8975	−	14.2602i	0.0788783	−	0.0418186i
$342$	117.087	+	13.1646i	0.342358	+	0.0384930i
$343$	−32.6649	−	117.648i	−0.0952330	−	0.342998i
$344$	28.2975	−	24.0361i	0.0822602	−	0.0698724i
$345$	38.5127	+	14.2283i	0.111631	+	0.0412416i
$346$	34.9742	−	51.5830i	0.101081	−	0.149084i
$347$	−7.89562	+	17.0661i	−0.0227539	+	0.0491818i	−0.918619	−	0.395144i	$-0.870695\pi$
$347$	−7.89562	+	17.0661i	−0.0227539	+	0.0491818i	0.895865	+	0.444326i	$0.146557\pi$
$348$	−12.9992	+	20.2559i	−0.0373540	+	0.0582065i
$349$	−49.1092	−	123.255i	−0.140714	−	0.353165i	0.841683	−	0.539973i	$-0.181565\pi$
$349$	−49.1092	−	123.255i	−0.140714	−	0.353165i	−0.982397	+	0.186807i	$0.940186\pi$
$350$	−36.8176	−	48.4327i	−0.105193	−	0.138379i
$351$	164.857	+	119.784i	0.469677	+	0.341265i
$352$	−18.3404	+	6.17962i	−0.0521035	+	0.0175557i
$353$			483.063i			1.36845i	0.729271	+	0.684225i	$0.239859\pi$
$353$			483.063i			1.36845i	−0.729271	+	0.684225i	$0.760141\pi$
$354$	−135.158	−	210.690i	−0.381802	−	0.595170i
$355$	−509.255			−1.43452
$356$	−46.3066	−	137.433i	−0.130075	−	0.386048i
$357$	−68.8875	+	55.1676i	−0.192962	+	0.154531i
$358$	345.685	−	262.783i	0.965601	−	0.734031i
$359$	468.745	−	186.765i	1.30570	−	0.520237i	0.389522	−	0.921017i	$-0.372640\pi$
$359$	468.745	−	186.765i	1.30570	−	0.520237i	0.916174	+	0.400781i	$0.131261\pi$
$360$	82.7192	−	177.103i	0.229776	−	0.491953i
$361$	−249.860	−	115.598i	−0.692133	−	0.320215i
$362$	−23.4862	−	15.9240i	−0.0648790	−	0.0439890i
$363$	307.566	+	113.629i	0.847290	+	0.313027i
$364$	−12.3778	−	14.5723i	−0.0340050	−	0.0400338i
$365$	−862.861	+	239.572i	−2.36400	+	0.656362i
$366$	−100.496	+	400.990i	−0.274578	+	1.09560i
$367$	180.961	+	341.329i	0.493083	+	0.930053i	0.997770	+	0.0667505i	$0.0212632\pi$
$367$	180.961	+	341.329i	0.493083	+	0.930053i	−0.504687	+	0.863303i	$0.668392\pi$
$368$	0.770793	−	7.08733i	0.00209455	−	0.0192590i
$369$	−74.0244	+	183.842i	−0.200608	+	0.498216i
$370$	−52.7296	+	189.915i	−0.142512	+	0.513283i
$371$	−2.39062	−	5.16723i	−0.00644371	−	0.0139278i
$372$	53.3684	+	1.54275i	0.143463	+	0.00414718i
$373$	219.191	+	48.2475i	0.587643	+	0.129350i	0.498832	−	0.866699i	$-0.333762\pi$
$373$	219.191	+	48.2475i	0.587643	+	0.129350i	0.0888106	+	0.996049i	$0.471693\pi$
$374$	−57.9347	+	96.2882i	−0.154906	+	0.257455i
$375$	200.460	−	49.4655i	0.534559	−	0.131908i
$376$	134.728	+	198.708i	0.358318	+	0.528480i
$377$	−29.8765	+	4.89800i	−0.0792480	+	0.0129920i
$378$	−16.4309	−	45.4887i	−0.0434679	−	0.120340i
$379$	−483.834	+	458.311i	−1.27661	+	1.20927i	−0.310660	+	0.950521i	$0.600550\pi$
$379$	−483.834	+	458.311i	−1.27661	+	1.20927i	−0.965946	+	0.258744i	$0.916691\pi$
$380$	97.7678	−	103.212i	0.257284	−	0.271611i
$381$	353.064	−	67.0821i	0.926676	−	0.176069i
$382$	−417.570	+	91.9140i	−1.09311	+	0.240613i
$383$	−114.224	+	339.006i	−0.298236	+	0.885133i	0.688845	+	0.724909i	$0.258118\pi$
$383$	−114.224	+	339.006i	−0.298236	+	0.885133i	−0.987081	+	0.160224i	$0.948778\pi$
$384$	−33.3213	−	6.45660i	−0.0867743	−	0.0168141i
$385$	−32.4979	+	7.15333i	−0.0844101	+	0.0185801i
$386$	−145.613	+	7.89489i	−0.377235	+	0.0204531i
$387$	104.177	+	55.7169i	0.269190	+	0.143971i
$388$	−220.993	+	209.336i	−0.569570	+	0.539526i
$389$	14.7585	+	0.800185i	0.0379397	+	0.00205703i	0.0730990	−	0.997325i	$-0.476711\pi$
$389$	14.7585	+	0.800185i	0.0379397	+	0.00205703i	−0.0351593	+	0.999382i	$0.511194\pi$
$390$	235.180	−	71.7440i	0.603025	−	0.183959i
$391$	−23.2299	−	34.2616i	−0.0594115	−	0.0876254i
$392$	−14.4939	−	133.269i	−0.0369742	−	0.339972i
$393$	670.156	+	289.724i	1.70523	+	0.737211i
$394$	−265.936	−	58.5369i	−0.674964	−	0.148571i
$395$	18.8422	+	3.08902i	0.0477017	+	0.00782030i
$396$	−39.6969	−	47.0805i	−0.100245	−	0.118890i
$397$	−162.094	+	583.810i	−0.408297	+	1.47055i	0.418584	+	0.908178i	$0.362526\pi$
$397$	−162.094	+	583.810i	−0.408297	+	1.47055i	−0.826882	+	0.562376i	$0.809887\pi$
$398$	−108.831	+	143.164i	−0.273444	+	0.359709i
$399$	−0.888671	−	35.1653i	−0.00222724	−	0.0881336i
$400$	−63.6341	−	120.027i	−0.159085	−	0.300067i
$401$	−24.5776	−	9.79261i	−0.0612908	−	0.0244205i	0.339291	−	0.940681i	$-0.389813\pi$
$401$	−24.5776	−	9.79261i	−0.0612908	−	0.0244205i	−0.400582	+	0.916261i	$0.631192\pi$
$402$	46.5785	+	108.824i	0.115867	+	0.270706i
$403$	43.4784	+	51.1867i	0.107887	+	0.127014i
$404$	−104.791	−	55.5567i	−0.259384	−	0.137517i
$405$	620.804	+	38.1858i	1.53285	+	0.0942858i
$406$	6.52146	+	3.01715i	0.0160627	+	0.00743140i
$407$	47.3274	+	40.2003i	0.116284	+	0.0987722i
$408$	−171.730	+	96.6806i	−0.420907	+	0.236962i
$409$	459.578	−	349.362i	1.12366	−	0.854186i	0.133080	−	0.991105i	$-0.457513\pi$
$409$	459.578	−	349.362i	1.12366	−	0.854186i	0.990582	+	0.136920i	$0.0437203\pi$
$410$	123.284	+	204.900i	0.300693	+	0.499756i
$411$	−585.199	+	288.909i	−1.42384	+	0.702941i
$412$	99.9592			0.242619
$413$	−56.7902	+	48.5771i	−0.137507	+	0.117620i
$414$	21.8798	−	5.98934i	0.0528497	−	0.0144670i
$415$	−551.513	+	185.826i	−1.32895	+	0.447775i
$416$	−22.0113	−	36.5830i	−0.0529117	−	0.0879399i
$417$	−315.505	−	316.653i	−0.756606	−	0.759360i
$418$	−16.5784	−	41.6086i	−0.0396612	−	0.0995420i
$419$	−63.6530	−	54.0673i	−0.151916	−	0.129039i	0.568205	−	0.822887i	$-0.307638\pi$
$419$	−63.6530	−	54.0673i	−0.151916	−	0.129039i	−0.720121	+	0.693848i	$0.755914\pi$
$420$	−55.7556	−	17.2305i	−0.132751	−	0.0410250i
$421$	53.0630	−	78.2620i	0.126040	−	0.185896i	−0.759433	−	0.650585i	$-0.774524\pi$
$421$	53.0630	−	78.2620i	0.126040	−	0.185896i	0.885474	+	0.464690i	$0.153834\pi$
$422$	274.523	+	145.543i	0.650528	+	0.344888i
$423$	−430.996	+	630.724i	−1.01890	+	1.49107i
$424$	−3.40123	−	12.2501i	−0.00802176	−	0.0288918i
$425$	−732.781	−	291.967i	−1.72419	−	0.686980i
$426$	−228.826	+	163.736i	−0.537149	+	0.384356i
$427$	122.695	+	13.3438i	0.287341	+	0.0312502i
$428$	75.3675	−	99.1442i	0.176092	−	0.231645i
$429$	10.5971	−	76.7363i	0.0247020	−	0.178872i
$430$	129.373	−	59.8543i	0.300867	−	0.139196i
$431$	209.826	+	34.3993i	0.486836	+	0.0798127i	0.400201	−	0.916427i	$-0.368940\pi$
$431$	209.826	+	34.3993i	0.486836	+	0.0798127i	0.0866350	+	0.996240i	$0.472389\pi$
$432$	−19.7737	−	106.174i	−0.0457724	−	0.245774i
$433$	−201.387	−	121.171i	−0.465097	−	0.279840i	0.263655	−	0.964617i	$-0.415072\pi$
$433$	−201.387	−	121.171i	−0.465097	−	0.279840i	−0.728752	+	0.684777i	$0.759899\pi$
$434$	−1.72340	−	15.8464i	−0.00397096	−	0.0365124i
$435$	−68.8951	+	61.5830i	−0.158379	+	0.141570i
$436$	−25.5175	−	155.650i	−0.0585264	−	0.356995i
$437$	16.4746	+	0.893229i	0.0376994	+	0.00204400i
$438$	−310.686	+	385.075i	−0.709328	+	0.879167i
$439$	−207.995	−	197.023i	−0.473792	−	0.448800i	0.413162	−	0.910658i	$-0.364424\pi$
$439$	−207.995	−	197.023i	−0.473792	−	0.448800i	−0.886954	+	0.461858i	$0.847183\pi$
$440$	−74.1964	+	4.02281i	−0.168628	+	0.00914275i
$441$	377.595	−	198.434i	0.856224	−	0.449963i
$442$	−234.922	−	79.1546i	−0.531499	−	0.179083i
$443$	−227.471	+	675.109i	−0.513478	+	1.52395i	0.306682	+	0.951812i	$0.400781\pi$
$443$	−227.471	+	675.109i	−0.513478	+	1.52395i	−0.820159	+	0.572135i	$0.806115\pi$
$444$	37.3683	+	102.289i	0.0841628	+	0.230380i
$445$	−30.1447	−	555.986i	−0.0677409	−	1.24941i
$446$	262.717	−	277.347i	0.589052	−	0.621855i
$447$	449.903	−	557.627i	1.00649	−	1.24749i
$448$	−0.548597	+	10.1183i	−0.00122455	+	0.0225855i
$449$	−163.728	+	26.8419i	−0.364651	+	0.0597814i	−0.341322	−	0.939946i	$-0.610875\pi$
$449$	−163.728	+	26.8419i	−0.364651	+	0.0597814i	−0.0233286	+	0.999728i	$0.507426\pi$
$450$	281.046	−	328.447i	0.624547	−	0.729882i
$451$	74.8964	−	8.14548i	0.166067	−	0.0180609i
$452$	33.1431	−	55.0843i	0.0733256	−	0.121868i
$453$	−50.2290	+	603.304i	−0.110881	+	1.33180i
$454$	−1.27171	+	7.75711i	−0.00280113	+	0.0170862i
$455$	−30.8230	−	66.6228i	−0.0677428	−	0.146424i
$456$	10.7456	−	77.8111i	0.0235649	−	0.170638i
$457$	−555.328	−	422.149i	−1.21516	−	0.923740i	−0.216540	−	0.976274i	$-0.569477\pi$
$457$	−555.328	−	422.149i	−1.21516	−	0.923740i	−0.998619	+	0.0525337i	$0.983270\pi$
$458$	−3.52271	+	32.3908i	−0.00769151	+	0.0707223i
$459$	−486.611	−	395.534i	−1.06016	−	0.861731i
$460$	10.1312	−	25.4273i	0.0220243	−	0.0552768i
$461$	−292.158	+	81.1172i	−0.633748	+	0.175959i	−0.569522	−	0.821976i	$-0.692872\pi$
$461$	−292.158	+	81.1172i	−0.633748	+	0.175959i	−0.0642259	+	0.997935i	$0.520458\pi$
$462$	−12.3025	+	13.6630i	−0.0266287	+	0.0295735i
$463$	160.770	−	303.243i	0.347234	−	0.654953i	−0.646963	−	0.762521i	$-0.723961\pi$
$463$	160.770	−	303.243i	0.347234	−	0.654953i	0.994198	+	0.107568i	$0.0343062\pi$
$464$	13.2807	+	9.00451i	0.0286221	+	0.0194063i
$465$	195.848	+	60.5240i	0.421177	+	0.130159i
$466$	210.392	−	247.693i	0.451486	−	0.531530i
$467$	463.028	−	184.487i	0.991494	−	0.395047i	0.182719	−	0.983165i	$-0.441510\pi$
$467$	463.028	−	184.487i	0.991494	−	0.395047i	0.808775	+	0.588118i	$0.200131\pi$
$468$	82.6071	−	107.852i	0.176511	−	0.230453i
$469$	30.2816	−	18.2199i	0.0645664	−	0.0388483i
$470$	294.313	+	873.491i	0.626198	+	1.85849i
$471$	−52.9408	−	393.913i	−0.112401	−	0.836333i
$472$	−142.692	+	86.5281i	−0.302313	+	0.183322i
$473$		−	44.9098i		−	0.0949468i
$474$	9.45962	−	4.67014i	0.0199570	−	0.00985263i
$475$	269.396	−	162.090i	0.567150	−	0.341243i
$476$	35.6065	+	46.8395i	0.0748035	+	0.0984023i
$477$	32.2940	−	24.3646i	0.0677024	−	0.0510789i
$478$	−256.049	+	301.444i	−0.535666	+	0.630635i
$479$	−368.472	+	796.439i	−0.769252	+	1.66271i	−0.0205650	+	0.999789i	$0.506546\pi$
$479$	−368.472	+	796.439i	−0.769252	+	1.66271i	−0.748687	+	0.662923i	$0.769316\pi$
$480$	−116.638	−	58.1114i	−0.242996	−	0.121065i
$481$	−64.1654	+	121.029i	−0.133400	+	0.251619i
$482$	−166.966	+	141.822i	−0.346402	+	0.294237i
$483$	−2.66492	−	6.22619i	−0.00551743	−	0.0128907i
$484$	80.9085	−	203.065i	0.167166	−	0.419556i
$485$	−1032.56	+	547.431i	−2.12900	+	1.12872i
$486$	291.226	−	182.443i	0.599230	−	0.375397i
$487$	650.952	+	494.841i	1.33666	+	1.01610i	0.997146	+	0.0754980i	$0.0240546\pi$
$487$	650.952	+	494.841i	1.33666	+	1.01610i	0.339511	+	0.940602i	$0.389738\pi$
$488$	265.548	+	73.7292i	0.544157	+	0.151084i
$489$	157.151	+	246.847i	0.321372	+	0.504800i
$490$	83.2670	−	507.906i	0.169933	−	1.03654i
$491$	192.661	−	875.267i	0.392385	−	1.78262i	−0.202999	−	0.979179i	$-0.565069\pi$
$491$	192.661	−	875.267i	0.392385	−	1.78262i	0.595383	−	0.803442i	$-0.297000\pi$
$492$	121.275	+	52.4302i	0.246495	+	0.106565i
$493$	92.6196	−	10.0730i	0.187869	−	0.0204320i
$494$	81.7816	−	55.4493i	0.165550	−	0.112246i
$495$	−98.4974	−	214.945i	−0.198985	−	0.434232i
$496$	1.92701	−	35.5416i	0.00388510	−	0.0716564i
$497$	57.7695	+	60.9865i	0.116236	+	0.122709i
$498$	−188.067	+	260.821i	−0.377644	+	0.523737i
$499$	36.8270	+	679.234i	0.0738016	+	1.36119i	0.767558	+	0.640980i	$0.221472\pi$
$499$	36.8270	+	679.234i	0.0738016	+	1.36119i	−0.693756	+	0.720210i	$0.744046\pi$
$500$	−29.5903	−	134.430i	−0.0591807	−	0.268860i
$501$	−281.143	−	54.4763i	−0.561163	−	0.108735i
$502$	22.6179	+	7.62085i	0.0450555	+	0.0151810i
$503$	63.6749	+	289.278i	0.126590	+	0.575105i	0.996623	+	0.0821115i	$0.0261664\pi$
$503$	63.6749	+	289.278i	0.126590	+	0.575105i	−0.870033	+	0.492994i	$0.835903\pi$
$504$	−30.5928	+	10.1843i	−0.0607001	+	0.0202069i
$505$	−330.602	−	313.163i	−0.654658	−	0.620125i
$506$	−5.93028	−	6.26052i	−0.0117199	−	0.0123726i
$507$	−335.051	+	26.6697i	−0.660851	+	0.0526029i
$508$	−38.7608	−	236.430i	−0.0763008	−	0.465414i
$509$	578.502	−	392.234i	1.13655	−	0.770598i	0.160259	−	0.987075i	$-0.448767\pi$
$509$	578.502	−	392.234i	1.13655	−	0.770598i	0.976288	+	0.216477i	$0.0694566\pi$
$510$	−734.606	+	181.272i	−1.44040	+	0.355435i
$511$	126.573	+	76.1562i	0.247696	+	0.149034i
$512$	−4.86423	+	22.0984i	−0.00950044	+	0.0431609i
$513$	242.880	−	58.9978i	0.473451	−	0.115005i
$514$	−581.446	+	269.005i	−1.13122	+	0.523357i
$515$	369.791	+	102.672i	0.718041	+	0.199363i
$516$	38.8873	−	68.4906i	0.0753629	−	0.132734i
$517$	288.693	+	31.3973i	0.558401	+	0.0607297i
$518$	28.7251	−	15.2291i	0.0554539	−	0.0293998i
$519$	32.1390	−	128.238i	0.0619248	−	0.247088i
$520$	−43.8531	−	157.945i	−0.0843329	−	0.303740i
$521$	689.367	−	585.554i	1.32316	−	1.12390i	0.340147	−	0.940372i	$-0.389523\pi$
$521$	689.367	−	585.554i	1.32316	−	1.12390i	0.983014	−	0.183531i	$-0.0587527\pi$
$522$	−11.1567	+	49.8225i	−0.0213730	+	0.0954454i
$523$	174.296	−	257.067i	0.333262	−	0.491524i	−0.623730	−	0.781640i	$-0.714383\pi$
$523$	174.296	−	257.067i	0.333262	−	0.491524i	0.956992	+	0.290116i	$0.0936938\pi$
$524$	204.375	−	441.748i	0.390028	−	0.843031i
$525$	−108.615	−	69.7033i	−0.206885	−	0.132768i
$526$	−215.789	−	541.590i	−0.410245	−	1.02964i
$527$	−125.072	−	164.529i	−0.237327	−	0.312199i
$528$	−32.0455	+	25.6632i	−0.0606923	+	0.0486046i
$529$	−498.298	+	167.896i	−0.941963	+	0.317384i
$530$		−	48.8119i		−	0.0920979i
$531$	−422.669	−	321.422i	−0.795987	−	0.605314i
$532$	−23.4510			−0.0440809
$533$	53.0672	+	157.498i	0.0995632	+	0.295493i
$534$	−192.306	−	240.131i	−0.360123	−	0.449684i
$535$	380.651	−	289.363i	0.711497	−	0.540866i
$536$	73.3105	−	29.2096i	0.136773	−	0.0544955i
$537$	497.503	−	775.229i	0.926449	−	1.44363i
$538$	−310.847	−	143.813i	−0.577782	−	0.267310i
$539$	−134.212	−	90.9979i	−0.249002	−	0.168827i
$540$	35.9047	−	413.094i	0.0664902	−	0.764989i
$541$	309.411	+	364.267i	0.571924	+	0.673321i	0.969739	−	0.244145i	$-0.0785072\pi$
$541$	309.411	+	364.267i	0.571924	+	0.673321i	−0.397815	+	0.917466i	$0.630231\pi$
$542$	−289.691	+	80.4322i	−0.534485	+	0.148399i
$543$	−58.3880	−	14.6331i	−0.107529	−	0.0269487i
$544$	61.5409	+	116.078i	0.113127	+	0.213379i
$545$	65.4741	−	602.025i	0.120136	−	1.10463i
$546$	−35.2704	−	20.0257i	−0.0645978	−	0.0366771i
$547$	−86.0785	+	310.027i	−0.157365	+	0.566777i	0.842252	+	0.539084i	$0.181230\pi$
$547$	−86.0785	+	310.027i	−0.157365	+	0.566777i	−0.999616	+	0.0276922i	$0.991184\pi$
$548$	182.688	+	394.874i	0.333373	+	0.720573i
$549$	91.6448	+	872.132i	0.166930	+	1.58858i
$550$	−160.484	−	35.3252i	−0.291789	−	0.0642277i
$551$	−19.1445	+	31.8184i	−0.0347450	+	0.0577467i
$552$	−3.62312	−	14.6827i	−0.00656362	−	0.0265991i
$553$	−1.76751	−	2.60689i	−0.00319623	−	0.00471408i
$554$	−473.519	+	77.6296i	−0.854728	+	0.140126i
$555$	33.1761	+	416.792i	0.0597768	+	0.750977i
$556$	−216.349	+	204.936i	−0.389116	+	0.368590i
$557$	648.754	−	684.881i	1.16473	−	1.22959i	0.196234	−	0.980557i	$-0.437129\pi$
$557$	648.754	−	684.881i	1.16473	−	1.22959i	0.968495	−	0.249032i	$-0.0801125\pi$
$558$	107.461	−	35.7734i	0.192582	−	0.0641101i
$559$	96.7560	−	21.2976i	0.173088	−	0.0380995i
$560$	−12.4224	+	36.8683i	−0.0221828	+	0.0658363i
$561$	−45.3470	+	234.028i	−0.0808324	+	0.417162i
$562$	−560.724	+	123.425i	−0.997730	+	0.219617i
$563$	693.807	−	37.6171i	1.23234	−	0.0668155i	0.573568	−	0.819158i	$-0.305559\pi$
$563$	693.807	−	37.6171i	1.23234	−	0.0668155i	0.658772	+	0.752343i	$0.271076\pi$
$564$	413.090	+	297.861i	0.732429	+	0.528123i
$565$	179.190	−	169.738i	0.317150	−	0.300421i
$566$	308.196	+	16.7099i	0.544516	+	0.0295228i
$567$	−65.8506	−	78.6770i	−0.116139	−	0.138760i
$568$	105.268	+	155.259i	0.185332	+	0.273344i
$569$	−60.9614	−	560.531i	−0.107138	−	0.985116i	−0.917106	−	0.398643i	$-0.869481\pi$
$569$	−60.9614	−	560.531i	−0.107138	−	0.985116i	0.809968	−	0.586473i	$-0.199484\pi$
$570$	119.675	−	276.819i	0.209957	−	0.485647i
$571$	429.672	+	94.5780i	0.752490	+	0.165636i	0.574622	−	0.818419i	$-0.305149\pi$
$571$	429.672	+	94.5780i	0.752490	+	0.165636i	0.177868	+	0.984054i	$0.443080\pi$
$572$	−50.9627	−	8.35491i	−0.0890956	−	0.0146065i
$573$	−765.112	+	487.094i	−1.33527	+	0.850077i
$574$	10.5528	−	38.0078i	0.0183847	−	0.0662156i
$575$	36.6321	−	48.1887i	0.0637080	−	0.0838064i
$576$	−71.0934	+	11.3900i	−0.123426	+	0.0197744i
$577$	141.435	+	266.775i	0.245121	+	0.462348i	0.975293	−	0.220916i	$-0.0709046\pi$
$577$	141.435	+	266.775i	0.245121	+	0.462348i	−0.730171	+	0.683264i	$0.760560\pi$
$578$	328.996	+	131.084i	0.569197	+	0.226789i
$579$	−284.390	+	121.724i	−0.491174	+	0.210231i
$580$	39.8819	+	46.9526i	0.0687619	+	0.0809527i
$581$	84.8171	+	44.9672i	0.145985	+	0.0773962i
$582$	−287.956	+	577.970i	−0.494770	+	0.993075i
$583$	−13.9569	−	6.45715i	−0.0239398	−	0.0110757i
$584$	251.402	+	213.543i	0.430483	+	0.365656i
$585$	416.377	−	314.141i	0.711756	−	0.536993i
$586$	471.075	−	358.102i	0.803882	−	0.611095i
$587$	−187.539	−	311.692i	−0.319487	−	0.530992i	0.654944	−	0.755677i	$-0.272692\pi$
$587$	−187.539	−	311.692i	−0.319487	−	0.530992i	−0.974431	+	0.224685i	$0.927865\pi$
$588$	−125.887	−	254.992i	−0.214094	−	0.433659i
$589$	82.3743			0.139854
$590$	−616.753	+	173.540i	−1.04534	+	0.294135i
$591$	−572.493	+	76.9414i	−0.968685	+	0.130188i
$592$	68.8002	−	23.1815i	0.116216	−	0.0391579i
$593$	53.6771	+	89.2120i	0.0905179	+	0.150442i	0.898808	−	0.438342i	$-0.144434\pi$
$593$	53.6771	+	89.2120i	0.0905179	+	0.150442i	−0.808290	+	0.588784i	$0.799607\pi$
$594$	−113.367	−	64.9131i	−0.190854	−	0.109281i
$595$	83.6126	+	209.852i	0.140525	+	0.352692i
$596$	−364.055	−	309.231i	−0.610831	−	0.518844i
$597$	−112.637	+	364.477i	−0.188671	+	0.610514i
$598$	10.6757	−	15.7454i	0.0178523	−	0.0263301i
$599$	695.712	+	368.843i	1.16146	+	0.615765i	0.933736	−	0.357962i	$-0.116528\pi$
$599$	695.712	+	368.843i	1.16146	+	0.615765i	0.227720	+	0.973727i	$0.426873\pi$
$600$	−214.161	−	192.836i	−0.356935	−	0.321393i
$601$	193.605	+	697.301i	0.322138	+	1.16024i	0.930414	+	0.366510i	$0.119447\pi$
$601$	193.605	+	697.301i	0.322138	+	1.16024i	−0.608276	+	0.793725i	$0.708139\pi$
$602$	−21.8439	−	8.70340i	−0.0362855	−	0.0144575i
$603$	172.023	+	182.929i	0.285278	+	0.303365i
$604$	401.228	+	43.6362i	0.664285	+	0.0722454i
$605$	507.891	−	668.119i	0.839489	−	1.10433i
$606$	−249.239	−	34.4195i	−0.411285	−	0.0567978i
$607$	−28.0670	+	12.9852i	−0.0462389	+	0.0213924i	−0.442872	−	0.896585i	$-0.646040\pi$
$607$	−28.0670	+	12.9852i	−0.0462389	+	0.0213924i	0.396633	+	0.917977i	$0.370178\pi$
$608$	−51.6765	−	8.47194i	−0.0849943	−	0.0139341i
$609$	15.1904	+	1.26470i	0.0249431	+	0.00207668i
$610$	906.646	+	545.511i	1.48630	+	0.894280i
$611$	69.2632	+	636.864i	0.113360	+	1.04233i
$612$	−271.801	+	317.642i	−0.444119	+	0.519023i
$613$	88.5245	+	539.976i	0.144412	+	0.880874i	0.955293	+	0.295662i	$0.0955403\pi$
$613$	88.5245	+	539.976i	0.144412	+	0.880874i	−0.810881	+	0.585212i	$0.801011\pi$
$614$	−248.637	−	13.4807i	−0.404947	−	0.0219556i
$615$	394.795	+	318.528i	0.641944	+	0.517932i
$616$	8.89854	+	8.42915i	0.0144457	+	0.0136837i
$617$	83.9810	−	4.55332i	0.136112	−	0.00737977i	0.0140429	−	0.999901i	$-0.495530\pi$
$617$	83.9810	−	4.55332i	0.136112	−	0.00737977i	0.122069	+	0.992522i	$0.461047\pi$
$618$	199.171	−	72.7613i	0.322283	−	0.117737i
$619$	310.343	+	104.567i	0.501361	+	0.168928i	0.558608	−	0.829432i	$-0.311336\pi$
$619$	310.343	+	104.567i	0.501361	+	0.168928i	−0.0572468	+	0.998360i	$0.518232\pi$
$620$	43.6350	−	129.504i	0.0703790	−	0.208877i
$621$	39.2362	−	27.8604i	0.0631823	−	0.0448638i
$622$	−7.65298	−	141.151i	−0.0123038	−	0.226931i
$623$	−63.1633	+	66.6807i	−0.101386	+	0.107032i
$624$	−70.4871	−	56.8703i	−0.112960	−	0.0911382i
$625$	−17.3565	+	320.121i	−0.0277704	+	0.512194i
$626$	157.737	−	25.8596i	0.251976	−	0.0413093i
$627$	−63.3201	−	70.8385i	−0.100989	−	0.112980i
$628$	−263.416	+	28.6483i	−0.419453	+	0.0456182i
$629$	217.329	−	361.204i	0.345515	−	0.574251i
$630$	−123.637	+	6.25289i	−0.196248	+	0.00992522i
$631$	−43.2358	+	263.726i	−0.0685194	+	0.417950i	0.930186	+	0.367088i	$0.119645\pi$
$631$	−43.2358	+	263.726i	−0.0685194	+	0.417950i	−0.998706	+	0.0508621i	$0.983803\pi$
$632$	−2.95312	−	6.38306i	−0.00467265	−	0.0100998i
$633$	652.935	+	90.1692i	1.03149	+	0.142447i
$634$	456.927	+	347.347i	0.720706	+	0.547866i
$635$	99.4544	−	914.469i	0.156621	−	1.44011i
$636$	−15.6940	−	21.9328i	−0.0246761	−	0.0344856i
$637$	132.403	−	332.307i	0.207854	−	0.521675i
$638$	18.7011	−	5.19234i	0.0293121	−	0.00813846i
$639$	−336.755	+	492.812i	−0.527003	+	0.771223i
$640$	−40.6930	+	76.7551i	−0.0635828	+	0.119930i
$641$	−468.021	−	317.326i	−0.730143	−	0.495049i	0.138578	−	0.990352i	$-0.455747\pi$
$641$	−468.021	−	317.326i	−0.730143	−	0.495049i	−0.868721	+	0.495302i	$0.835057\pi$
$642$	78.0033	−	252.408i	0.121500	−	0.393159i
$643$	−35.1922	+	41.4314i	−0.0547312	+	0.0644346i	−0.788846	−	0.614590i	$-0.789321\pi$
$643$	−35.1922	+	41.4314i	−0.0547312	+	0.0644346i	0.734115	+	0.679025i	$0.237597\pi$
$644$	−4.19435	+	1.67118i	−0.00651297	+	0.00259500i
$645$	214.210	−	213.433i	0.332108	−	0.330904i
$646$	−260.534	+	156.758i	−0.403304	+	0.242660i
$647$	−126.357	−	375.015i	−0.195297	−	0.579621i	0.804602	−	0.593814i	$-0.202379\pi$
$647$	−126.357	−	375.015i	−0.195297	−	0.579621i	−0.999899	+	0.0141934i	$0.995482\pi$
$648$	−116.685	−	197.161i	−0.180069	−	0.304261i
$649$	−31.9674	+	199.307i	−0.0492564	+	0.307098i
$650$		−	362.507i		−	0.557703i
$651$	−14.9687	−	30.3198i	−0.0229933	−	0.0465742i
$652$	167.159	−	100.576i	0.256379	−	0.154258i
$653$	−47.4876	−	62.4688i	−0.0727222	−	0.0956644i	0.758294	−	0.651913i	$-0.226033\pi$
$653$	−47.4876	−	62.4688i	−0.0727222	−	0.0956644i	−0.831016	+	0.556249i	$0.812240\pi$
$654$	−164.143	−	291.561i	−0.250984	−	0.445813i
$655$	1209.81	−	1424.29i	1.84703	−	2.17449i
$656$	36.9848	−	79.9414i	0.0563793	−	0.121862i
$657$	−338.748	+	993.423i	−0.515598	+	1.51206i
$658$	71.2194	−	134.334i	0.108236	−	0.204155i
$659$	−255.172	+	216.745i	−0.387210	+	0.328899i	−0.819756	−	0.572712i	$-0.805891\pi$
$659$	−255.172	+	216.745i	−0.387210	+	0.328899i	0.432546	+	0.901612i	$0.357615\pi$
$660$	−144.910	+	62.0239i	−0.219560	+	0.0939756i
$661$	394.930	−	991.200i	0.597474	−	1.49955i	−0.249751	−	0.968310i	$-0.580349\pi$
$661$	394.930	−	991.200i	0.597474	−	1.49955i	0.847224	−	0.531236i	$-0.178272\pi$
$662$	447.825	−	237.422i	0.676473	−	0.358643i
$663$	−525.706	+	13.2852i	−0.792920	+	0.0200381i
$664$	170.658	+	129.731i	0.257014	+	0.195377i
$665$	−86.7552	−	24.0875i	−0.130459	−	0.0362218i
$666$	148.914	+	176.612i	0.223595	+	0.265183i
$667$	−1.15664	+	7.05520i	−0.00173409	+	0.0105775i
$668$	−41.0410	+	186.451i	−0.0614386	+	0.279118i
$669$	321.586	−	743.856i	0.480697	−	1.11189i
$670$	301.209	−	32.7584i	0.449566	−	0.0488932i
$671$	275.916	−	187.076i	0.411202	−	0.278802i
$672$	6.27211	+	20.5602i	0.00933350	+	0.0305956i
$673$	0.553065	−	10.2007i	0.000821790	−	0.0151570i	−0.998094	−	0.0617159i	$-0.980343\pi$
$673$	0.553065	−	10.2007i	0.000821790	−	0.0151570i	0.998916	+	0.0465588i	$0.0148255\pi$
$674$	−288.533	−	304.601i	−0.428091	−	0.451930i
$675$	320.911	−	859.014i	0.475423	−	1.27261i
$676$	12.1311	+	223.746i	0.0179455	+	0.330985i
$677$	−217.478	−	988.011i	−0.321237	−	1.45940i	−0.809717	−	0.586821i	$-0.800379\pi$
$677$	−217.478	−	988.011i	−0.321237	−	1.45940i	0.488479	−	0.872576i	$-0.337552\pi$
$678$	25.9420	−	133.882i	0.0382625	−	0.197466i
$679$	182.692	+	61.5560i	0.269060	+	0.0906569i
$680$	108.437	+	492.634i	0.159466	+	0.724462i
$681$	3.11257	+	16.3819i	0.00457058	+	0.0240557i
$682$	−31.2571	−	29.6083i	−0.0458315	−	0.0434139i
$683$	−113.257	−	119.564i	−0.165823	−	0.175057i	0.637788	−	0.770212i	$-0.279849\pi$
$683$	−113.257	−	119.564i	−0.165823	−	0.175057i	−0.803611	+	0.595155i	$0.797091\pi$
$684$	−35.2287	−	162.862i	−0.0515040	−	0.238103i
$685$	270.250	+	1648.45i	0.394526	+	2.40650i
$686$	−142.920	+	96.9023i	−0.208339	+	0.141257i
$687$	16.5585	+	67.1036i	0.0241026	+	0.0976763i
$688$	−44.9909	−	27.0701i	−0.0653937	−	0.0393461i
$689$	7.29282	−	33.1316i	0.0105846	−	0.0480865i
$690$	1.67777	−	58.0391i	0.00243155	−	0.0841146i
$691$	724.049	−	334.981i	1.04783	−	0.484777i	0.181051	−	0.983474i	$-0.442050\pi$
$691$	724.049	−	334.981i	1.04783	−	0.484777i	0.866776	+	0.498697i	$0.166188\pi$
$692$	−84.9237	−	23.5790i	−0.122722	−	0.0340736i
$693$	−14.5675	+	36.1789i	−0.0210210	+	0.0522062i
$694$	26.4371	+	2.87520i	0.0380937	+	0.00414294i
$695$	−1010.86	+	535.926i	−1.45448	+	0.771116i
$696$	33.0165	+	8.27456i	0.0474375	+	0.0118887i
$697$	−136.824	−	492.796i	−0.196304	−	0.707024i
$698$	−143.008	+	121.472i	−0.204883	+	0.174029i
$699$	238.913	−	646.681i	0.341793	−	0.925151i
$700$	−48.2834	+	71.2126i	−0.0689762	+	0.101732i
$701$	380.948	−	823.405i	0.543435	−	1.17461i	−0.420210	−	0.907427i	$-0.638044\pi$
$701$	380.948	−	823.405i	0.543435	−	1.17461i	0.963644	−	0.267188i	$-0.0860944\pi$
$702$	86.0898	−	275.028i	0.122635	−	0.391778i
$703$	62.1901	+	156.085i	0.0884639	+	0.222028i
$704$	16.5636	+	21.7891i	0.0235279	+	0.0309504i
$705$	1222.25	+	1526.22i	1.73369	+	2.16485i
$706$	647.393	−	218.132i	0.916988	−	0.308969i
$707$			75.1167i			0.106247i
$708$	−221.332	+	276.276i	−0.312615	+	0.390220i
$709$	−408.533			−0.576210			−0.288105	−	0.957599i	$-0.593025\pi$
$709$	−408.533			−0.576210			−0.288105	+	0.957599i	$0.593025\pi$
$710$	229.959	+	682.495i	0.323886	+	0.961261i
$711$	15.4491	−	16.1911i	0.0217286	−	0.0227723i
$712$	−163.275	+	124.119i	−0.229319	+	0.174324i
$713$	14.7331	−	5.87021i	0.0206636	−	0.00823312i
$714$	105.042	+	67.4104i	0.147117	+	0.0944124i
$715$	−179.951	−	83.2541i	−0.251680	−	0.116439i
$716$	−508.275	−	344.619i	−0.709882	−	0.481312i
$717$	−290.758	+	787.014i	−0.405521	+	1.09765i
$718$	−461.966	−	543.868i	−0.643407	−	0.757477i
$719$	−755.397	+	209.735i	−1.05062	+	0.291704i	−0.749584	−	0.661909i	$-0.769747\pi$
$719$	−755.397	+	209.735i	−1.05062	+	0.291704i	−0.301037	+	0.953612i	$0.597333\pi$
$720$	−274.704	−	30.8862i	−0.381533	−	0.0428975i
$721$	−29.6532	−	55.9319i	−0.0411279	−	0.0775754i
$722$	−42.0951	+	387.058i	−0.0583034	+	0.536091i
$723$	−229.450	+	404.120i	−0.317358	+	0.558949i
$724$	−10.7357	+	38.6665i	−0.0148283	+	0.0534067i
$725$	57.2048	+	123.646i	0.0789032	+	0.170546i
$726$	13.3988	−	463.506i	0.0184557	−	0.638438i
$727$	197.966	+	43.5756i	0.272306	+	0.0599390i	0.349024	−	0.937114i	$-0.386513\pi$
$727$	197.966	+	43.5756i	0.272306	+	0.0599390i	−0.0767184	+	0.997053i	$0.524444\pi$
$728$	−13.9402	+	23.1688i	−0.0191486	+	0.0318253i
$729$	447.472	−	575.508i	0.613816	−	0.789449i
$730$	710.705	+	1048.21i	0.973568	+	1.43591i
$731$	−300.857	+	49.3231i	−0.411570	+	0.0674734i
$732$	582.780	−	46.3885i	0.796147	−	0.0633723i
$733$	173.054	−	163.926i	0.236090	−	0.223637i	−0.560503	−	0.828153i	$-0.689392\pi$
$733$	173.054	−	163.926i	0.236090	−	0.223637i	0.796593	+	0.604516i	$0.206633\pi$
$734$	375.729	−	396.653i	0.511893	−	0.540399i
$735$	−203.799	−	1072.63i	−0.277278	−	1.45935i
$736$	−9.84638	+	2.16735i	−0.0133782	+	0.00294477i
$737$	30.4792	−	90.4589i	0.0413557	−	0.122739i
$738$	279.808	+	16.1907i	0.379144	+	0.0219386i
$739$	−938.147	+	206.502i	−1.26948	+	0.279434i	−0.798116	−	0.602504i	$-0.794170\pi$
$739$	−938.147	+	206.502i	−1.26948	+	0.279434i	−0.471366	+	0.881938i	$0.656239\pi$
$740$	278.331	−	15.0907i	0.376124	−	0.0203928i
$741$	122.590	−	170.014i	0.165438	−	0.229438i
$742$	−5.84553	+	5.53718i	−0.00787808	+	0.00746251i
$743$	−1162.56	−	63.0321i	−1.56468	−	0.0848346i	−0.748699	−	0.662910i	$-0.769321\pi$
$743$	−1162.56	−	63.0321i	−1.56468	−	0.0848346i	−0.815983	+	0.578076i	$0.803804\pi$
$744$	−22.0315	−	72.2201i	−0.0296122	−	0.0970700i
$745$	−1029.17	−	1517.91i	−1.38144	−	2.03747i
$746$	−34.3173	−	315.543i	−0.0460018	−	0.422979i
$747$	−184.873	+	656.587i	−0.247487	+	0.878965i
$748$	155.205	+	34.1632i	0.207493	+	0.0456727i
$749$	−77.8339	−	12.7602i	−0.103917	−	0.0170363i
$750$	−156.813	−	246.316i	−0.209083	−	0.328421i
$751$	−288.262	+	1038.22i	−0.383837	+	1.38246i	0.479373	+	0.877611i	$0.340864\pi$
$751$	−288.262	+	1038.22i	−0.383837	+	1.38246i	−0.863210	+	0.504845i	$0.831550\pi$
$752$	205.468	−	270.289i	0.273229	−	0.359427i
$753$	50.6139	−	1.27908i	0.0672164	−	0.00169864i
$754$	20.0553	+	37.8282i	0.0265985	+	0.0501701i
$755$	1439.49	+	573.546i	1.90661	+	0.759664i
$756$	−53.5437	+	42.5613i	−0.0708250	+	0.0562980i
$757$	−655.028	−	771.159i	−0.865295	−	1.01870i	−0.999614	−	0.0277654i	$-0.991161\pi$
$757$	−655.028	−	771.159i	−0.865295	−	1.01870i	0.134320	−	0.990938i	$-0.457115\pi$
$758$	832.702	+	441.471i	1.09855	+	0.582415i
$759$	−16.3733	−	8.15751i	−0.0215722	−	0.0107477i
$760$	−182.471	−	84.4203i	−0.240094	−	0.111079i
$761$	−1018.36	−	865.007i	−1.33819	−	1.13667i	−0.979102	−	0.203368i	$-0.934811\pi$
$761$	−1018.36	−	865.007i	−1.33819	−	1.13667i	−0.359090	−	0.933303i	$-0.616913\pi$
$762$	−249.332	−	442.878i	−0.327207	−	0.581205i
$763$	−79.5236	+	60.4523i	−0.104225	+	0.0792297i
$764$	311.740	+	518.115i	0.408036	+	0.678162i
$765$	−1331.77	+	895.916i	−1.74088	+	1.17113i
$766$	505.909			0.660456
$767$	−444.556	+	25.6451i	−0.579604	+	0.0334356i
$768$	6.39358	+	47.5723i	0.00832497	+	0.0619431i
$769$	−1200.53	+	404.507i	−1.56116	+	0.526017i	−0.961634	−	0.274336i	$-0.911542\pi$
$769$	−1200.53	+	404.507i	−1.56116	+	0.526017i	−0.599529	+	0.800353i	$0.704645\pi$
$770$	24.2615	+	40.3230i	0.0315085	+	0.0523675i
$771$	−962.732	+	959.240i	−1.24868	+	1.24415i
$772$	76.3336	+	191.583i	0.0988777	+	0.248164i
$773$	649.441	+	551.640i	0.840157	+	0.713636i	0.960254	−	0.279126i	$-0.0900449\pi$
$773$	649.441	+	551.640i	0.840157	+	0.713636i	−0.120098	+	0.992762i	$0.538321\pi$
$774$	27.6288	−	164.775i	0.0356961	−	0.212888i
$775$	169.601	−	250.142i	0.218839	−	0.322764i
$776$	380.340	+	201.644i	0.490129	+	0.259850i
$777$	46.1500	−	51.2536i	0.0593951	−	0.0659635i
$778$	−5.59198	−	20.1405i	−0.00718763	−	0.0258875i
$779$	189.370	+	75.4519i	0.243094	+	0.0968574i
$780$	−202.348	−	282.787i	−0.259420	−	0.362548i
$781$	225.568	+	24.5320i	0.288820	+	0.0314110i
$782$	−35.4271	+	46.6035i	−0.0453032	+	0.0595953i
$783$	14.0363	+	107.394i	0.0179263	+	0.137157i
$784$	−172.060	+	79.6036i	−0.219465	+	0.101535i
$785$	−1003.91	−	164.583i	−1.27887	−	0.209660i
$786$	85.6676	−	1028.96i	0.108992	−	1.30911i
$787$	−269.023	−	161.866i	−0.341834	−	0.205674i	0.334277	−	0.942475i	$-0.391508\pi$
$787$	−269.023	−	161.866i	−0.341834	−	0.205674i	−0.676110	+	0.736801i	$0.736336\pi$
$788$	41.6359	+	382.836i	0.0528375	+	0.485832i
$789$	−824.194	−	922.055i	−1.04461	−	1.16864i
$790$	−4.36853	−	26.6469i	−0.00552979	−	0.0337302i
$791$	−40.6543	−	2.20421i	−0.0513961	−	0.00278662i
$792$	−45.1709	+	74.4609i	−0.0570340	+	0.0940162i
$793$	533.893	+	505.731i	0.673258	+	0.637744i
$794$	855.608	−	46.3897i	1.07759	−	0.0584253i
$795$	−35.5307	−	97.2588i	−0.0446927	−	0.122338i
$796$	241.010	+	81.2058i	0.302777	+	0.102017i
$797$	432.449	−	1283.46i	0.542596	−	1.61037i	−0.228426	−	0.973561i	$-0.573358\pi$
$797$	432.449	−	1283.46i	0.542596	−	1.61037i	0.771023	−	0.636808i	$-0.219745\pi$
$798$	−46.7267	+	17.0702i	−0.0585548	+	0.0213913i
$799$	−106.728	−	1968.48i	−0.133577	−	2.46368i
$800$	−132.123	+	139.481i	−0.165154	+	0.174351i
$801$	−557.968	−	338.486i	−0.696589	−	0.422579i
$802$	−2.02562	+	37.3604i	−0.00252572	+	0.0465841i
$803$	393.734	−	64.5495i	0.490329	−	0.0803854i
$804$	124.811	−	111.564i	0.155237	−	0.138762i
$805$	−17.2332	+	1.87423i	−0.0214077	+	0.00232823i
$806$	48.9665	−	81.3830i	0.0607525	−	0.100971i
$807$	−724.052	−	60.2820i	−0.897214	−	0.0746989i
$808$	−27.1367	+	165.527i	−0.0335850	+	0.204860i
$809$	−144.270	−	311.834i	−0.178331	−	0.385456i	0.797711	−	0.603040i	$-0.206044\pi$
$809$	−144.270	−	311.834i	−0.178331	−	0.385456i	−0.976041	+	0.217585i	$0.930182\pi$
$810$	−229.155	−	849.235i	−0.282907	−	1.04844i
$811$	362.106	+	275.266i	0.446493	+	0.339415i	0.804138	−	0.594442i	$-0.202627\pi$
$811$	362.106	+	275.266i	0.446493	+	0.339415i	−0.357645	+	0.933858i	$0.616420\pi$
$812$	1.09870	−	10.1024i	0.00135308	−	0.0124413i
$813$	−518.668	+	371.132i	−0.637968	+	0.456497i
$814$	32.5046	−	81.5803i	0.0399319	−	0.100222i
$815$	721.698	−	200.378i	0.885519	−	0.245863i
$816$	207.116	+	186.493i	0.253819	+	0.228545i
$817$	56.9191	−	107.361i	0.0696684	−	0.131409i
$818$	−675.736	−	458.161i	−0.826084	−	0.560099i
$819$	−84.8540	−	14.2279i	−0.103607	−	0.0173723i
$820$	218.933	−	257.748i	0.266992	−	0.314327i
$821$	−1301.86	+	518.709i	−1.58570	+	0.631802i	−0.985748	−	0.168231i	$-0.946195\pi$
$821$	−1301.86	+	518.709i	−1.58570	+	0.631802i	−0.599956	+	0.800033i	$0.704815\pi$
$822$	651.444	+	653.815i	0.792511	+	0.795396i
$823$	1354.21	−	814.801i	1.64546	−	0.990038i	0.678671	−	0.734442i	$-0.262556\pi$
$823$	1354.21	−	814.801i	1.64546	−	0.990038i	0.966784	−	0.255596i	$-0.0822715\pi$
$824$	−45.1376	−	133.964i	−0.0547787	−	0.162577i
$825$	−345.482	+	46.4318i	−0.418766	+	0.0562809i
$826$	90.7465	+	54.1739i	0.109863	+	0.0655858i
$827$		−	245.830i		−	0.297255i	−0.988893	−	0.148627i	$-0.952515\pi$
$827$		−	245.830i		−	0.297255i	0.988893	−	0.148627i	$-0.0474855\pi$
$828$	−17.9069	−	26.6184i	−0.0216266	−	0.0321478i
$829$	−593.942	+	357.363i	−0.716456	+	0.431077i	−0.826564	−	0.562842i	$-0.809708\pi$
$829$	−593.942	+	357.363i	−0.716456	+	0.431077i	0.110108	+	0.993920i	$0.464880\pi$
$830$	498.083	+	655.217i	0.600100	+	0.789418i
$831$	−886.991	+	499.358i	−1.06738	+	0.600913i
$832$	−39.0886	+	46.0186i	−0.0469814	+	0.0553108i
$833$	−462.207	+	999.045i	−0.554871	+	1.19933i
$834$	−281.904	+	565.823i	−0.338015	+	0.678444i
$835$	−343.339	+	647.606i	−0.411185	+	0.775577i
$836$	−48.2770	+	41.0069i	−0.0577476	+	0.0490513i
$837$	188.078	−	149.501i	0.224705	−	0.178615i
$838$	−43.7170	+	109.721i	−0.0521683	+	0.130932i
$839$	15.7877	−	8.37012i	0.0188173	−	0.00997631i	−0.458973	−	0.888450i	$-0.651783\pi$
$839$	15.7877	−	8.37012i	0.0188173	−	0.00997631i	0.477791	+	0.878474i	$0.341438\pi$
$840$	2.08496	+	82.5033i	0.00248210	+	0.0982183i
$841$	656.704	+	499.214i	0.780861	+	0.593595i
$842$	−128.847	−	35.7741i	−0.153024	−	0.0424870i
$843$	−1027.41	+	654.084i	−1.21876	+	0.775900i
$844$	71.0904	−	433.632i	0.0842304	−	0.513782i
$845$	−184.940	+	840.190i	−0.218864	+	0.994307i
$846$	1039.91	+	292.803i	1.22920	+	0.346103i
$847$	−137.626	+	14.9678i	−0.162487	+	0.0176715i
$848$	−14.8815	+	10.0899i	−0.0175490	+	0.0118985i
$849$	626.251	−	191.044i	0.737633	−	0.225023i
$850$	−60.3940	+	1113.90i	−0.0710518	+	1.31047i
$851$	22.2461	+	23.4850i	0.0261412	+	0.0275969i
$852$	322.765	+	232.732i	0.378832	+	0.273159i
$853$	−73.2298	−	1350.65i	−0.0858498	−	1.58341i	−0.651428	−	0.758711i	$-0.725830\pi$
$853$	−73.2298	−	1350.65i	−0.0858498	−	1.58341i	0.565578	−	0.824695i	$-0.308653\pi$
$854$	−37.5208	−	170.459i	−0.0439354	−	0.199601i
$855$	36.9563	−	638.681i	0.0432238	−	0.746995i
$856$	−166.904	−	56.2367i	−0.194982	−	0.0656970i
$857$	78.6480	+	357.302i	0.0917713	+	0.416921i	0.999999	−	0.00155554i	$-0.000495144\pi$
$857$	78.6480	+	357.302i	0.0917713	+	0.416921i	−0.908227	+	0.418477i	$0.862564\pi$
$858$	−107.626	+	20.4489i	−0.125438	+	0.0238333i
$859$	−268.671	−	254.498i	−0.312772	−	0.296273i	0.515169	−	0.857088i	$-0.327729\pi$
$859$	−268.671	−	254.498i	−0.312772	−	0.296273i	−0.827941	+	0.560816i	$0.810488\pi$
$860$	−138.635	−	146.356i	−0.161204	−	0.170181i
$861$	−6.63955	−	83.4128i	−0.00771145	−	0.0968790i
$862$	−48.6479	−	296.739i	−0.0564361	−	0.344245i
$863$	17.3909	−	11.7913i	0.0201517	−	0.0136632i	−0.551070	−	0.834459i	$-0.685780\pi$
$863$	17.3909	−	11.7913i	0.0201517	−	0.0136632i	0.571221	+	0.820796i	$0.306470\pi$
$864$	−133.364	+	74.4445i	−0.154357	+	0.0861627i
$865$	−289.950	−	174.457i	−0.335202	−	0.201684i
$866$	−71.4524	+	324.611i	−0.0825085	+	0.374840i
$867$	750.950	+	21.7081i	0.866147	+	0.0250382i
$868$	−20.4588	+	9.46527i	−0.0235701	+	0.0109047i
$869$	−8.19711	−	2.27592i	−0.00943281	−	0.00261901i
$870$	113.643	+	64.5236i	0.130624	+	0.0741651i
$871$	209.343	+	22.7675i	0.240348	+	0.0261395i
$872$	−197.077	+	104.483i	−0.226005	+	0.119821i
$873$	−153.049	+	1361.22i	−0.175314	+	1.55925i
$874$	−6.24221	−	22.4824i	−0.00714211	−	0.0257236i
$875$	−66.4420	+	56.4363i	−0.0759337	+	0.0644987i
$876$	656.365	+	242.491i	0.749275	+	0.276816i
$877$	560.560	−	826.765i	0.639179	−	0.942719i	−0.360770	−	0.932655i	$-0.617486\pi$
$877$	560.560	−	826.765i	0.639179	−	0.942719i	0.999949	−	0.0100643i	$-0.00320361\pi$
$878$	−170.125	+	367.719i	−0.193764	+	0.418814i
$879$	677.961	−	1056.43i	0.771287	−	1.20185i
$880$	38.8955	+	97.6203i	0.0441994	+	0.110932i
$881$	665.957	+	876.052i	0.755911	+	0.994384i	0.999698	+	0.0245550i	$0.00781687\pi$
$881$	665.957	+	876.052i	0.755911	+	0.994384i	−0.243788	+	0.969829i	$0.578390\pi$
$882$	−436.445	−	416.442i	−0.494835	−	0.472156i
$883$	−298.815	+	100.683i	−0.338409	+	0.114023i	−0.483375	−	0.875413i	$-0.660589\pi$
$883$	−298.815	+	100.683i	−0.338409	+	0.114023i	0.144966	+	0.989437i	$0.453693\pi$
$884$			350.582i			0.396586i
$885$	−1102.57	+	794.723i	−1.24584	+	0.897992i
$886$	1007.49			1.13712
$887$	274.295	+	814.080i	0.309239	+	0.917790i	0.983753	+	0.179527i	$0.0574569\pi$
$887$	274.295	+	814.080i	0.309239	+	0.917790i	−0.674513	+	0.738263i	$0.735647\pi$
$888$	120.212	−	96.2700i	0.135374	−	0.108412i
$889$	−120.795	+	91.8263i	−0.135878	+	0.103292i
$890$	−731.512	+	291.461i	−0.821923	+	0.327484i
$891$	−273.138	−	46.8195i	−0.306552	−	0.0525472i
$892$	−490.329	−	226.850i	−0.549696	−	0.254317i
$893$	650.353	+	440.950i	0.728278	+	0.493785i
$894$	−950.481	−	351.151i	−1.06318	−	0.392786i
$895$	−1526.35	−	1796.96i	−1.70542	−	2.00778i
$896$	13.8081	−	3.83380i	0.0154108	−	0.00427879i
$897$	9.81023	−	39.1440i	0.0109367	−	0.0436388i
$898$	109.906	+	207.305i	0.122390	+	0.230852i
$899$	−3.85930	+	35.4857i	−0.00429288	+	0.0394724i
$900$	−567.088	−	228.340i	−0.630098	−	0.253711i
$901$	−27.9289	+	100.591i	−0.0309977	+	0.111644i
$902$	−44.7367	−	96.6968i	−0.0495972	−	0.107203i
$903$	−49.8597	−	1.44132i	−0.0552157	−	0.00159615i
$904$	−88.7893	−	19.5440i	−0.0982182	−	0.0216195i
$905$	−79.4317	+	132.017i	−0.0877699	+	0.145875i
$906$	831.220	−	205.112i	0.917461	−	0.226393i
$907$	854.830	+	1260.78i	0.942480	+	1.39005i	0.920691	+	0.390292i	$0.127626\pi$
$907$	854.830	+	1260.78i	0.942480	+	1.39005i	0.0217889	+	0.999763i	$0.493064\pi$
$908$	10.9702	−	1.79848i	0.0120817	−	0.00198070i
$909$	−521.669	+	112.842i	−0.573893	+	0.124139i
$910$	−75.3683	+	71.3927i	−0.0828224	+	0.0784535i
$911$	7.63629	−	8.06154i	0.00838232	−	0.00884911i	−0.721791	−	0.692111i	$-0.756681\pi$
$911$	7.63629	−	8.06154i	0.00838232	−	0.00884911i	0.730173	+	0.683262i	$0.239439\pi$
$912$	−109.133	+	20.7354i	−0.119664	+	0.0227361i
$913$	253.238	−	55.7418i	0.277369	−	0.0610535i
$914$	−314.993	+	934.867i	−0.344632	+	1.02283i
$915$	2203.60	+	426.985i	2.40830	+	0.466651i
$916$	45.0003	−	9.90532i	0.0491270	−	0.0108137i
$917$	−307.807	+	16.6888i	−0.335668	+	0.0181994i
$918$	−310.354	+	830.756i	−0.338077	+	0.904963i
$919$	436.170	−	413.162i	0.474613	−	0.449578i	−0.412617	−	0.910905i	$-0.635385\pi$
$919$	436.170	−	413.162i	0.474613	−	0.449578i	0.887230	+	0.461327i	$0.152626\pi$
$920$	−38.6521	−	2.09566i	−0.0420132	−	0.00227789i
$921$	−505.228	+	154.125i	−0.548565	+	0.167345i
$922$	240.639	+	354.916i	0.260997	+	0.384941i
$923$	54.1182	+	497.609i	0.0586330	+	0.539121i
$924$	23.8662	+	10.3179i	0.0258292	+	0.0111666i
$925$	602.021	+	132.515i	0.650833	+	0.143259i
$926$	−478.999	−	78.5279i	−0.517278	−	0.0848034i
$927$	343.889	−	289.957i	0.370970	−	0.312791i
$928$	6.07068	−	21.8646i	0.00654168	−	0.0235610i
$929$	−813.692	+	1070.39i	−0.875880	+	1.15220i	0.111490	+	0.993766i	$0.464438\pi$
$929$	−813.692	+	1070.39i	−0.875880	+	1.15220i	−0.987369	+	0.158435i	$0.949355\pi$
$930$	−7.32365	−	289.802i	−0.00787489	−	0.311615i
$931$	−205.514	−	387.640i	−0.220745	−	0.416369i
$932$	−426.959	−	170.116i	−0.458110	−	0.182528i
$933$	−117.994	−	275.676i	−0.126467	−	0.295472i
$934$	−456.332	−	537.235i	−0.488578	−	0.575198i
$935$	539.078	+	285.801i	0.576554	+	0.305670i
$936$	−181.844	−	62.0069i	−0.194277	−	0.0662467i
$937$	−196.768	−	91.0347i	−0.209998	−	0.0971555i	0.312071	−	0.950059i	$-0.398977\pi$
$937$	−196.768	−	91.0347i	−0.209998	−	0.0971555i	−0.522069	+	0.852903i	$0.674840\pi$
$938$	−38.0919	−	32.3556i	−0.0406098	−	0.0344942i
$939$	295.471	−	166.344i	0.314665	−	0.177150i
$940$	1037.74	−	788.868i	1.10398	−	0.839221i
$941$	57.1711	+	95.0190i	0.0607556	+	0.100977i	0.885746	−	0.464170i	$-0.153647\pi$
$941$	57.1711	+	95.0190i	0.0607556	+	0.100977i	−0.824991	+	0.565146i	$0.808820\pi$
$942$	−504.010	+	248.826i	−0.535042	+	0.264146i
$943$	39.2468			0.0416191
$944$	180.397	+	152.160i	0.191099	+	0.161187i
$945$	−241.797	+	102.455i	−0.255870	+	0.108418i
$946$	−60.1874	+	20.2795i	−0.0636231	+	0.0214371i
$947$	−40.9388	−	68.0409i	−0.0432300	−	0.0718489i	0.834489	−	0.551025i	$-0.185763\pi$
$947$	−40.9388	−	68.0409i	−0.0432300	−	0.0718489i	−0.877719	+	0.479176i	$0.840936\pi$
$948$	−10.5304	−	10.5688i	−0.0111081	−	0.0111485i
$949$	325.789	+	817.670i	0.343298	+	0.861612i
$950$	−338.880	−	287.847i	−0.356715	−	0.302997i
$951$	1163.28	+	359.495i	1.22321	+	0.378018i
$952$	46.6951	−	68.8701i	0.0490494	−	0.0723425i
$953$	−17.3197	−	9.18230i	−0.0181738	−	0.00963515i	0.459297	−	0.888283i	$-0.348101\pi$
$953$	−17.3197	−	9.18230i	−0.0181738	−	0.00963515i	−0.477471	+	0.878648i	$0.658446\pi$
$954$	−47.2358	−	32.2778i	−0.0495134	−	0.0338342i
$955$	621.080	+	2236.93i	0.650345	+	2.34233i
$956$	519.611	+	207.032i	0.543526	+	0.216561i
$957$	33.4828	−	23.9586i	0.0349873	−	0.0250351i
$958$	1233.76	+	134.180i	1.28785	+	0.140062i
$959$	166.756	−	219.363i	0.173885	−	0.228742i
$960$	−25.2108	+	182.557i	−0.0262613	+	0.190164i
$961$	−800.316	+	370.266i	−0.832795	+	0.385292i
$962$	191.175	+	31.3416i	0.198727	+	0.0325796i
$963$	−28.3071	−	559.708i	−0.0293947	−	0.581213i
$964$	265.463	+	159.724i	0.275377	+	0.165689i
$965$	85.6078	+	787.151i	0.0887128	+	0.815700i
$966$	−7.14087	+	6.38298i	−0.00739221	+	0.00660764i
$967$	−176.400	−	1075.99i	−0.182420	−	1.11271i	−0.906252	−	0.422737i	$-0.861069\pi$
$967$	−176.400	−	1075.99i	−0.182420	−	1.11271i	0.723832	−	0.689976i	$-0.242379\pi$
$968$	−308.680	−	16.7361i	−0.318884	−	0.0172894i
$969$	−405.014	+	501.990i	−0.417972	+	0.518050i
$970$	1199.92	+	1136.63i	1.23703	+	1.17178i
$971$	−983.283	+	53.3121i	−1.01265	+	0.0549043i	−0.552988	−	0.833189i	$-0.686512\pi$
$971$	−983.283	+	53.3121i	−1.01265	+	0.0549043i	−0.459662	+	0.888094i	$0.652030\pi$
$972$	−376.013	−	307.912i	−0.386845	−	0.316782i
$973$	178.852	+	60.2623i	0.183815	+	0.0619345i
$974$	369.233	−	1095.85i	0.379090	−	1.12510i
$975$	−263.873	−	722.304i	−0.270639	−	0.740824i
$976$	−21.1006	−	389.177i	−0.0216194	−	0.398747i
$977$	−1002.49	+	1058.32i	−1.02609	+	1.08323i	−0.0295987	+	0.999562i	$0.509423\pi$
$977$	−1002.49	+	1058.32i	−1.02609	+	1.08323i	−0.996493	+	0.0836704i	$0.973336\pi$
$978$	259.858	−	322.077i	0.265703	−	0.329322i
$979$	−13.4310	+	247.719i	−0.0137191	+	0.253033i
$980$	−718.288	+	117.757i	−0.732947	+	0.120161i
$981$	−539.290	−	461.461i	−0.549735	−	0.470399i
$982$	−1260.02	+	137.035i	−1.28311	+	0.139547i
$983$	184.936	−	307.365i	0.188134	−	0.312681i	−0.748407	−	0.663240i	$-0.769181\pi$
$983$	184.936	−	307.365i	0.188134	−	0.312681i	0.936541	+	0.350559i	$0.114008\pi$
$984$	15.5029	−	186.207i	0.0157550	−	0.189234i
$985$	−239.197	+	1459.04i	−0.242840	+	1.48126i
$986$	−55.3230	−	119.579i	−0.0561086	−	0.121277i
$987$	44.1231	−	319.505i	0.0447042	−	0.323713i
$988$	−111.242	−	84.5637i	−0.112593	−	0.0855908i
$989$	2.52949	−	23.2583i	0.00255763	−	0.0235170i
$990$	−243.588	+	229.065i	−0.246049	+	0.231379i
$991$	−312.076	+	783.252i	−0.314910	+	0.790366i	0.683276	+	0.730161i	$0.260555\pi$
$991$	−312.076	+	783.252i	−0.314910	+	0.790366i	−0.998186	+	0.0602050i	$0.980825\pi$
$992$	−48.5024	+	13.4666i	−0.0488936	+	0.0135752i
$993$	719.479	−	799.045i	0.724551	−	0.804677i
$994$	55.6467	−	104.961i	0.0559826	−	0.105594i
$995$	808.189	+	547.966i	0.812250	+	0.550719i
$996$	434.471	+	134.268i	0.436216	+	0.134807i
$997$	−992.757	+	1168.76i	−0.995744	+	1.17228i	−0.0107063	+	0.999943i	$0.503408\pi$
$997$	−992.757	+	1168.76i	−0.995744	+	1.17228i	−0.985038	+	0.172338i	$0.944868\pi$
$998$	893.668	−	356.070i	0.895459	−	0.356784i
$999$	425.273	+	243.507i	0.425699	+	0.243751i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	354.3.h.a.71.5	yes	1120
3.2	odd	2	inner	354.3.h.a.71.32	yes	1120
59.5	even	29	inner	354.3.h.a.5.32	yes	1120
177.5	odd	58	inner	354.3.h.a.5.5	✓	1120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
354.3.h.a.5.5	✓	1120	177.5	odd	58	inner
354.3.h.a.5.32	yes	1120	59.5	even	29	inner
354.3.h.a.71.5	yes	1120	1.1	even	1	trivial
354.3.h.a.71.32	yes	1120	3.2	odd	2	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:	\( N \)	\(=\)	\( 354 = 2 \cdot 3 \cdot 59 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	354.h (of order \(58\), degree \(28\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.451561 - 1.34018i) q^{2} +(-1.87528 - 2.34165i) q^{3} +(-1.59219 + 1.21035i) q^{4} +(-7.13337 + 2.84219i) q^{5} +(-2.29144 + 3.57062i) q^{6} +(1.14957 + 0.531850i) q^{7} +(2.34106 + 1.58728i) q^{8} +(-1.96666 + 8.78250i) q^{9} +O(q^{10})\)	\(q+(-0.451561 - 1.34018i) q^{2} +(-1.87528 - 2.34165i) q^{3} +(-1.59219 + 1.21035i) q^{4} +(-7.13337 + 2.84219i) q^{5} +(-2.29144 + 3.57062i) q^{6} +(1.14957 + 0.531850i) q^{7} +(2.34106 + 1.58728i) q^{8} +(-1.96666 + 8.78250i) q^{9} +(7.03021 + 8.27660i) q^{10} +(3.29655 - 0.915283i) q^{11} +(5.82001 + 1.45860i) q^{12} +(3.53526 + 6.66820i) q^{13} +(0.193674 - 1.78080i) q^{14} +(20.0325 + 11.3739i) q^{15} +(1.07011 - 3.85420i) q^{16} +(-9.75211 - 21.0788i) q^{17} +(12.6582 - 1.33014i) q^{18} +(9.04073 + 1.99001i) q^{19} +(7.91760 - 13.1592i) q^{20} +(-0.910366 - 3.68927i) q^{21} +(-2.71524 - 4.00468i) q^{22} +(1.75880 - 0.288341i) q^{23} +(-0.673288 - 8.45853i) q^{24} +(24.6570 - 23.3563i) q^{25} +(7.34023 - 7.74899i) q^{26} +(24.2536 - 11.8644i) q^{27} +(-2.47406 + 0.544582i) q^{28} +(-1.28084 + 3.80139i) q^{29} +(6.19731 - 31.9832i) q^{30} +(8.69040 - 1.91290i) q^{31} +(-5.64856 + 0.306256i) q^{32} +(-8.32522 - 6.00296i) q^{33} +(-23.8459 + 22.5880i) q^{34} +(-9.71195 - 0.526567i) q^{35} +(-7.49859 - 16.3637i) q^{36} +(10.1856 + 15.0227i) q^{37} +(-1.41545 - 13.0148i) q^{38} +(8.98501 - 20.7831i) q^{39} +(-21.2110 - 4.66889i) q^{40} +(21.7305 + 3.56253i) q^{41} +(-4.53321 + 2.88599i) q^{42} +(3.51177 - 12.6482i) q^{43} +(-4.14091 + 5.44728i) q^{44} +(-10.9326 - 68.2384i) q^{45} +(-1.18063 - 2.22691i) q^{46} +(78.8513 + 31.4172i) q^{47} +(-11.0320 + 4.72187i) q^{48} +(-30.6833 - 36.1231i) q^{49} +(-42.4359 - 22.4981i) q^{50} +(-31.0714 + 62.3647i) q^{51} +(-13.6996 - 6.33812i) q^{52} +(-3.42585 - 2.90994i) q^{53} +(-26.8524 - 27.1468i) q^{54} +(-20.9141 + 15.8985i) q^{55} +(1.84703 + 3.06978i) q^{56} +(-12.2940 - 24.9021i) q^{57} +5.67293 q^{58} +(-24.5882 + 53.6323i) q^{59} +(-45.6619 + 6.13682i) q^{60} +(92.3366 - 31.1118i) q^{61} +(-6.48788 - 10.7829i) q^{62} +(-6.93179 + 9.05017i) q^{63} +(2.96111 + 7.43181i) q^{64} +(-44.1706 - 37.5188i) q^{65} +(-4.28573 + 13.8680i) q^{66} +(15.6576 - 23.0932i) q^{67} +(41.0399 + 21.7580i) q^{68} +(-3.97344 - 3.57778i) q^{69} +(3.67984 + 13.2536i) q^{70} +(61.6099 + 24.5476i) q^{71} +(-18.5443 + 17.4387i) q^{72} +(115.937 + 12.6090i) q^{73} +(15.5337 - 20.4343i) q^{74} +(-100.931 - 13.9384i) q^{75} +(-16.8031 + 7.77396i) q^{76} +(4.27642 + 0.701084i) q^{77} +(-31.9104 - 2.65675i) q^{78} +(-2.13064 - 1.28196i) q^{79} +(3.32087 + 30.5349i) q^{80} +(-73.2645 - 34.5444i) q^{81} +(-5.03818 - 30.7316i) q^{82} +(75.6797 + 4.10323i) q^{83} +(5.91477 + 4.77214i) q^{84} +(129.475 + 122.646i) q^{85} +(-18.5367 + 1.00503i) q^{86} +(11.3034 - 4.12939i) q^{87} +(9.17022 + 3.08981i) q^{88} +(-23.1533 + 68.7165i) q^{89} +(-86.5152 + 45.4655i) q^{90} +(0.517559 + 9.54582i) q^{91} +(-2.45135 + 2.58785i) q^{92} +(-20.7763 - 16.7627i) q^{93} +(6.49873 - 119.862i) q^{94} +(-70.1468 + 11.5000i) q^{95} +(11.3098 + 12.6526i) q^{96} +(151.308 - 16.4557i) q^{97} +(-34.5563 + 57.4330i) q^{98} +(1.55527 + 30.7520i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1120 q + 80 q^{4} - 8 q^{6} - 8 q^{7} + 24 q^{9}+O(q^{10}) \) 1120 * q + 80 * q^4 - 8 * q^6 - 8 * q^7 + 24 * q^9	\( 1120 q + 80 q^{4} - 8 q^{6} - 8 q^{7} + 24 q^{9} + 16 q^{10} - 34 q^{15} - 160 q^{16} - 16 q^{18} - 24 q^{19} + 18 q^{21} + 16 q^{22} + 16 q^{24} + 216 q^{25} + 30 q^{27} + 16 q^{28} + 64 q^{30} - 96 q^{31} - 76 q^{33} - 80 q^{34} - 48 q^{36} + 200 q^{37} + 28 q^{39} - 32 q^{40} - 48 q^{42} + 104 q^{43} + 696 q^{45} - 32 q^{46} - 288 q^{49} + 1800 q^{51} + 852 q^{54} - 360 q^{55} + 76 q^{57} + 128 q^{58} - 280 q^{60} + 32 q^{61} - 1318 q^{63} + 320 q^{64} - 1512 q^{66} + 344 q^{67} - 2640 q^{69} - 192 q^{70} + 32 q^{72} - 40 q^{73} - 1014 q^{75} + 48 q^{76} - 96 q^{78} - 32 q^{79} - 336 q^{81} + 80 q^{82} - 36 q^{84} - 168 q^{85} + 162 q^{87} - 32 q^{88} - 112 q^{90} - 88 q^{91} + 316 q^{93} + 400 q^{94} - 32 q^{96} + 184 q^{97} + 148 q^{99}+O(q^{100}) \) 1120 * q + 80 * q^4 - 8 * q^6 - 8 * q^7 + 24 * q^9 + 16 * q^10 - 34 * q^15 - 160 * q^16 - 16 * q^18 - 24 * q^19 + 18 * q^21 + 16 * q^22 + 16 * q^24 + 216 * q^25 + 30 * q^27 + 16 * q^28 + 64 * q^30 - 96 * q^31 - 76 * q^33 - 80 * q^34 - 48 * q^36 + 200 * q^37 + 28 * q^39 - 32 * q^40 - 48 * q^42 + 104 * q^43 + 696 * q^45 - 32 * q^46 - 288 * q^49 + 1800 * q^51 + 852 * q^54 - 360 * q^55 + 76 * q^57 + 128 * q^58 - 280 * q^60 + 32 * q^61 - 1318 * q^63 + 320 * q^64 - 1512 * q^66 + 344 * q^67 - 2640 * q^69 - 192 * q^70 + 32 * q^72 - 40 * q^73 - 1014 * q^75 + 48 * q^76 - 96 * q^78 - 32 * q^79 - 336 * q^81 + 80 * q^82 - 36 * q^84 - 168 * q^85 + 162 * q^87 - 32 * q^88 - 112 * q^90 - 88 * q^91 + 316 * q^93 + 400 * q^94 - 32 * q^96 + 184 * q^97 + 148 * q^99

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