LMFDB - Embedded newform 95.2.k.b.36.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [95,2,Mod(6,95)]

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([0, 14]))

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

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

chi := DirichletCharacter("95.6");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 95 = 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	95.k (of order $9$, 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:	$18$
Relative dimension:	$3$ over $\Q(\zeta_{9})$
Coefficient field:	$\mathbb{Q}[x]/(x^{18} + \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{18} + 12 x^{16} - 8 x^{15} + 96 x^{14} - 75 x^{13} + 448 x^{12} - 405 x^{11} + 1521 x^{10} + \cdots + 361 $ x^18 + 12x^16 - 8x^15 + 96x^14 - 75x^13 + 448x^12 - 405x^11 + 1521x^10 - 1294x^9 + 3333x^8 - 2616x^7 + 5113x^6 - 3126x^5 + 4032x^4 - 1359x^3 + 1698x^2 - 513x + 361
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			36.3
Root			$-1.31112 + 2.27092i$ of defining polynomial
Character	$\chi$	$=$	95.36
Dual form			95.2.k.b.66.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.455347 - 2.58240i) q^{2} +(-0.711484 - 0.597006i) q^{3} +(-4.58206 - 1.66773i) q^{4} +(0.939693 - 0.342020i) q^{5} +(-1.86568 + 1.56549i) q^{6} +(1.91579 + 3.31824i) q^{7} +(-3.77094 + 6.53146i) q^{8} +(-0.371151 - 2.10490i) q^{9} +O(q^{10})$	\(q+(0.455347 - 2.58240i) q^{2} +(-0.711484 - 0.597006i) q^{3} +(-4.58206 - 1.66773i) q^{4} +(0.939693 - 0.342020i) q^{5} +(-1.86568 + 1.56549i) q^{6} +(1.91579 + 3.31824i) q^{7} +(-3.77094 + 6.53146i) q^{8} +(-0.371151 - 2.10490i) q^{9} +(-0.455347 - 2.58240i) q^{10} +(1.63362 - 2.82951i) q^{11} +(2.26441 + 3.92208i) q^{12} +(-0.278949 + 0.234066i) q^{13} +(9.44137 - 3.43638i) q^{14} +(-0.872764 - 0.317660i) q^{15} +(7.67910 + 6.44353i) q^{16} +(-0.118813 + 0.673822i) q^{17} -5.60470 q^{18} +(-3.86613 + 2.01323i) q^{19} -4.87613 q^{20} +(0.617958 - 3.50461i) q^{21} +(-6.56305 - 5.50706i) q^{22} +(8.80310 + 3.20407i) q^{23} +(6.58228 - 2.39576i) q^{24} +(0.766044 - 0.642788i) q^{25} +(0.477433 + 0.826939i) q^{26} +(-2.38574 + 4.13222i) q^{27} +(-3.24431 - 18.3994i) q^{28} +(0.267393 + 1.51646i) q^{29} +(-1.21774 + 2.10918i) q^{30} +(1.22444 + 2.12080i) q^{31} +(8.58157 - 7.20079i) q^{32} +(-2.85152 + 1.03787i) q^{33} +(1.68598 + 0.613646i) q^{34} +(2.93516 + 2.46289i) q^{35} +(-1.80978 + 10.2638i) q^{36} +0.163399 q^{37} +(3.43852 + 10.9006i) q^{38} +0.338206 q^{39} +(-1.30963 + 7.42730i) q^{40} +(-5.64858 - 4.73972i) q^{41} +(-8.76892 - 3.19163i) q^{42} +(-2.43181 + 0.885107i) q^{43} +(-12.2042 + 10.2405i) q^{44} +(-1.06869 - 1.85102i) q^{45} +(12.2826 - 21.2742i) q^{46} +(1.52755 + 8.66316i) q^{47} +(-1.61673 - 9.16893i) q^{48} +(-3.84048 + 6.65191i) q^{49} +(-1.31112 - 2.27092i) q^{50} +(0.486809 - 0.408482i) q^{51} +(1.66852 - 0.607292i) q^{52} +(-10.4484 - 3.80291i) q^{53} +(9.58469 + 8.04251i) q^{54} +(0.567349 - 3.21760i) q^{55} -28.8973 q^{56} +(3.95259 + 0.875722i) q^{57} +4.03786 q^{58} +(-1.35268 + 7.67146i) q^{59} +(3.46928 + 2.91108i) q^{60} +(-2.27305 - 0.827322i) q^{61} +(6.03429 - 2.19630i) q^{62} +(6.27353 - 5.26412i) q^{63} +(-4.66339 - 8.07723i) q^{64} +(-0.182071 + 0.315356i) q^{65} +(1.38176 + 7.83636i) q^{66} +(-1.65962 - 9.41216i) q^{67} +(1.66816 - 2.88935i) q^{68} +(-4.35042 - 7.53515i) q^{69} +(7.69668 - 6.45828i) q^{70} +(4.81203 - 1.75144i) q^{71} +(15.1477 + 5.51331i) q^{72} +(-6.03960 - 5.06782i) q^{73} +(0.0744033 - 0.421962i) q^{74} -0.928776 q^{75} +(21.0723 - 2.77705i) q^{76} +12.5186 q^{77} +(0.154001 - 0.873384i) q^{78} +(-7.14004 - 5.99121i) q^{79} +(9.41980 + 3.42853i) q^{80} +(-1.86106 + 0.677369i) q^{81} +(-14.8119 + 12.4287i) q^{82} +(-0.364559 - 0.631436i) q^{83} +(-8.67627 + 15.0277i) q^{84} +(0.118813 + 0.673822i) q^{85} +(1.17838 + 6.68294i) q^{86} +(0.715090 - 1.23857i) q^{87} +(12.3205 + 21.3398i) q^{88} +(9.68319 - 8.12516i) q^{89} +(-5.26670 + 1.91692i) q^{90} +(-1.31109 - 0.477199i) q^{91} +(-34.9928 - 29.3625i) q^{92} +(0.394957 - 2.23991i) q^{93} +23.0673 q^{94} +(-2.94441 + 3.21411i) q^{95} -10.4046 q^{96} +(-1.31055 + 7.43249i) q^{97} +(15.4291 + 12.9466i) q^{98} +(-6.56216 - 2.38843i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 18 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 6 q^{6} - 12 q^{8} - 21 q^{9}+O(q^{10}) $ 18 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 6 * q^6 - 12 * q^8 - 21 * q^9	\( 18 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 6 q^{6} - 12 q^{8} - 21 q^{9} - 3 q^{10} + 6 q^{12} - 3 q^{13} + 24 q^{14} + 3 q^{15} + 21 q^{16} - 24 q^{17} - 12 q^{18} - 12 q^{19} - 12 q^{20} + 3 q^{21} + 15 q^{22} + 21 q^{23} + 21 q^{24} - 21 q^{26} + 6 q^{27} - 24 q^{28} - 9 q^{29} - 12 q^{30} + 30 q^{31} + 45 q^{32} - 3 q^{33} + 24 q^{34} - 6 q^{35} - 21 q^{36} - 60 q^{37} - 15 q^{38} + 12 q^{39} - 6 q^{40} - 6 q^{41} + 39 q^{42} - 6 q^{43} - 30 q^{44} + 6 q^{45} + 21 q^{46} + 33 q^{47} - 63 q^{48} - 3 q^{49} + 27 q^{51} + 9 q^{52} + 24 q^{53} + 30 q^{54} - 3 q^{55} - 72 q^{56} - 30 q^{57} + 36 q^{58} + 18 q^{59} + 15 q^{60} + 6 q^{61} + 12 q^{62} + 24 q^{63} - 24 q^{64} + 3 q^{65} - 33 q^{66} - 24 q^{67} - 3 q^{68} + 27 q^{69} + 39 q^{70} + 24 q^{71} + 18 q^{72} + 6 q^{73} - 39 q^{74} - 6 q^{75} + 27 q^{76} + 24 q^{77} + 72 q^{78} + 9 q^{79} + 33 q^{80} + 15 q^{81} - 57 q^{82} - 12 q^{84} + 24 q^{85} - 33 q^{86} - 45 q^{87} + 39 q^{88} - 6 q^{89} - 21 q^{90} - 6 q^{91} - 66 q^{92} - 72 q^{93} - 66 q^{94} - 15 q^{95} - 18 q^{96} - 87 q^{97} + 39 q^{98} + 3 q^{99}+O(q^{100}) \) 18 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 6 * q^6 - 12 * q^8 - 21 * q^9 - 3 * q^10 + 6 * q^12 - 3 * q^13 + 24 * q^14 + 3 * q^15 + 21 * q^16 - 24 * q^17 - 12 * q^18 - 12 * q^19 - 12 * q^20 + 3 * q^21 + 15 * q^22 + 21 * q^23 + 21 * q^24 - 21 * q^26 + 6 * q^27 - 24 * q^28 - 9 * q^29 - 12 * q^30 + 30 * q^31 + 45 * q^32 - 3 * q^33 + 24 * q^34 - 6 * q^35 - 21 * q^36 - 60 * q^37 - 15 * q^38 + 12 * q^39 - 6 * q^40 - 6 * q^41 + 39 * q^42 - 6 * q^43 - 30 * q^44 + 6 * q^45 + 21 * q^46 + 33 * q^47 - 63 * q^48 - 3 * q^49 + 27 * q^51 + 9 * q^52 + 24 * q^53 + 30 * q^54 - 3 * q^55 - 72 * q^56 - 30 * q^57 + 36 * q^58 + 18 * q^59 + 15 * q^60 + 6 * q^61 + 12 * q^62 + 24 * q^63 - 24 * q^64 + 3 * q^65 - 33 * q^66 - 24 * q^67 - 3 * q^68 + 27 * q^69 + 39 * q^70 + 24 * q^71 + 18 * q^72 + 6 * q^73 - 39 * q^74 - 6 * q^75 + 27 * q^76 + 24 * q^77 + 72 * q^78 + 9 * q^79 + 33 * q^80 + 15 * q^81 - 57 * q^82 - 12 * q^84 + 24 * q^85 - 33 * q^86 - 45 * q^87 + 39 * q^88 - 6 * q^89 - 21 * q^90 - 6 * q^91 - 66 * q^92 - 72 * q^93 - 66 * q^94 - 15 * q^95 - 18 * q^96 - 87 * q^97 + 39 * q^98 + 3 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{5}{9}\right)$	$1$

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 $

$2$	0.455347	−	2.58240i	0.321979	−	1.82603i	−0.208129	−	0.978101i	$-0.566737\pi$
$2$	0.455347	−	2.58240i	0.321979	−	1.82603i	0.530108	−	0.847930i	$-0.322152\pi$
$3$	−0.711484	−	0.597006i	−0.410775	−	0.344681i	0.413866	−	0.910338i	$-0.364178\pi$
$3$	−0.711484	−	0.597006i	−0.410775	−	0.344681i	−0.824641	+	0.565657i	$0.808623\pi$
$4$	−4.58206	−	1.66773i	−2.29103	−	0.833867i
$5$	0.939693	−	0.342020i	0.420243	−	0.152956i
$5$	0.939693	−	0.342020i	0.420243	−	0.152956i
$6$	−1.86568	+	1.56549i	−0.761660	+	0.639109i
$7$	1.91579	+	3.31824i	0.724100	+	1.25418i	0.959344	+	0.282241i	$0.0910778\pi$
$7$	1.91579	+	3.31824i	0.724100	+	1.25418i	−0.235244	+	0.971936i	$0.575589\pi$
$8$	−3.77094	+	6.53146i	−1.33323	+	2.30922i
$9$	−0.371151	−	2.10490i	−0.123717	−	0.701634i
$10$	−0.455347	−	2.58240i	−0.143993	−	0.816626i
$11$	1.63362	−	2.82951i	0.492554	−	0.853128i	−0.507409	−	0.861705i	$-0.669397\pi$
$11$	1.63362	−	2.82951i	0.492554	−	0.853128i	0.999963	+	0.00857679i	$0.00273011\pi$
$12$	2.26441	+	3.92208i	0.653680	+	1.13221i
$13$	−0.278949	+	0.234066i	−0.0773665	+	0.0649182i	−0.680651	−	0.732608i	$-0.738303\pi$
$13$	−0.278949	+	0.234066i	−0.0773665	+	0.0649182i	0.603284	+	0.797526i	$0.293858\pi$
$14$	9.44137	−	3.43638i	2.52331	−	0.918411i
$15$	−0.872764	−	0.317660i	−0.225347	−	0.0820195i
$16$	7.67910	+	6.44353i	1.91977	+	1.61088i
$17$	−0.118813	+	0.673822i	−0.0288164	+	0.163426i	−0.995820	−	0.0913364i	$-0.970886\pi$
$17$	−0.118813	+	0.673822i	−0.0288164	+	0.163426i	0.967004	+	0.254762i	$0.0819972\pi$
$18$	−5.60470			−1.32104
$19$	−3.86613	+	2.01323i	−0.886950	+	0.461866i
$19$	−3.86613	+	2.01323i	−0.886950	+	0.461866i
$20$	−4.87613			−1.09033
$21$	0.617958	−	3.50461i	0.134849	−	0.764769i
$22$	−6.56305	−	5.50706i	−1.39925	−	1.17411i
$23$	8.80310	+	3.20407i	1.83557	+	0.668094i	0.991206	+	0.132331i	$0.0422462\pi$
$23$	8.80310	+	3.20407i	1.83557	+	0.668094i	0.844368	+	0.535763i	$0.179976\pi$
$24$	6.58228	−	2.39576i	1.34360	−	0.489031i
$25$	0.766044	−	0.642788i	0.153209	−	0.128558i
$26$	0.477433	+	0.826939i	0.0936324	+	0.162176i
$27$	−2.38574	+	4.13222i	−0.459135	+	0.795245i
$28$	−3.24431	−	18.3994i	−0.613117	−	3.47716i
$29$	0.267393	+	1.51646i	0.0496536	+	0.281600i	0.999517	−	0.0310645i	$-0.00988973\pi$
$29$	0.267393	+	1.51646i	0.0496536	+	0.281600i	−0.949864	+	0.312664i	$0.898779\pi$
$30$	−1.21774	+	2.10918i	−0.222327	+	0.385082i
$31$	1.22444	+	2.12080i	0.219916	+	0.380906i	0.954782	−	0.297306i	$-0.0960882\pi$
$31$	1.22444	+	2.12080i	0.219916	+	0.380906i	−0.734866	+	0.678213i	$0.762755\pi$
$32$	8.58157	−	7.20079i	1.51702	−	1.27293i
$33$	−2.85152	+	1.03787i	−0.496387	+	0.180670i
$34$	1.68598	+	0.613646i	0.289143	+	0.105239i
$35$	2.93516	+	2.46289i	0.496132	+	0.416304i
$36$	−1.80978	+	10.2638i	−0.301630	+	1.71063i
$37$	0.163399			0.0268627			0.0134313	−	0.999910i	$-0.495725\pi$
$37$	0.163399			0.0268627			0.0134313	+	0.999910i	$0.495725\pi$
$38$	3.43852	+	10.9006i	0.557802	+	1.76831i
$39$	0.338206			0.0541564
$40$	−1.30963	+	7.42730i	−0.207071	+	1.17436i
$41$	−5.64858	−	4.73972i	−0.882160	−	0.740220i	0.0844622	−	0.996427i	$-0.473083\pi$
$41$	−5.64858	−	4.73972i	−0.882160	−	0.740220i	−0.966622	+	0.256207i	$0.917527\pi$
$42$	−8.76892	−	3.19163i	−1.35307	−	0.492479i
$43$	−2.43181	+	0.885107i	−0.370848	+	0.134978i	−0.520719	−	0.853728i	$-0.674336\pi$
$43$	−2.43181	+	0.885107i	−0.370848	+	0.134978i	0.149872	+	0.988705i	$0.452114\pi$
$44$	−12.2042	+	10.2405i	−1.83985	+	1.54382i
$45$	−1.06869	−	1.85102i	−0.159311	−	0.275934i
$46$	12.2826	−	21.2742i	1.81098	−	3.13670i
$47$	1.52755	+	8.66316i	0.222816	+	1.26365i	0.866817	+	0.498627i	$0.166162\pi$
$47$	1.52755	+	8.66316i	0.222816	+	1.26365i	−0.644001	+	0.765025i	$0.722727\pi$
$48$	−1.61673	−	9.16893i	−0.233355	−	1.32342i
$49$	−3.84048	+	6.65191i	−0.548640	+	0.950273i
$50$	−1.31112	−	2.27092i	−0.185420	−	0.321157i
$51$	0.486809	−	0.408482i	0.0681670	−	0.0571989i
$52$	1.66852	−	0.607292i	0.231382	−	0.0842162i
$53$	−10.4484	−	3.80291i	−1.43520	−	0.522370i	−0.496783	−	0.867875i	$-0.665485\pi$
$53$	−10.4484	−	3.80291i	−1.43520	−	0.522370i	−0.938417	+	0.345505i	$0.887708\pi$
$54$	9.58469	+	8.04251i	1.30431	+	1.09445i
$55$	0.567349	−	3.21760i	0.0765013	−	0.433861i
$56$	−28.8973			−3.86156
$57$	3.95259	+	0.875722i	0.523534	+	0.115992i
$58$	4.03786			0.530197
$59$	−1.35268	+	7.67146i	−0.176105	+	0.998739i	0.760757	+	0.649037i	$0.224828\pi$
$59$	−1.35268	+	7.67146i	−0.176105	+	0.998739i	−0.936861	+	0.349701i	$0.886283\pi$
$60$	3.46928	+	2.91108i	0.447883	+	0.375818i
$61$	−2.27305	−	0.827322i	−0.291034	−	0.105928i	0.192377	−	0.981321i	$-0.438380\pi$
$61$	−2.27305	−	0.827322i	−0.291034	−	0.105928i	−0.483411	+	0.875393i	$0.660602\pi$
$62$	6.03429	−	2.19630i	0.766356	−	0.278931i
$63$	6.27353	−	5.26412i	0.790391	−	0.663216i
$64$	−4.66339	−	8.07723i	−0.582924	−	1.00965i
$65$	−0.182071	+	0.315356i	−0.0225831	+	0.0391151i
$66$	1.38176	+	7.83636i	0.170083	+	0.964590i
$67$	−1.65962	−	9.41216i	−0.202755	−	1.14988i	−0.900934	−	0.433956i	$-0.857117\pi$
$67$	−1.65962	−	9.41216i	−0.202755	−	1.14988i	0.698180	−	0.715923i	$-0.253994\pi$
$68$	1.66816	−	2.88935i	0.202295	−	0.350385i
$69$	−4.35042	−	7.53515i	−0.523729	−	0.907125i
$70$	7.69668	−	6.45828i	0.919929	−	0.771912i
$71$	4.81203	−	1.75144i	0.571083	−	0.207857i	−0.0403062	−	0.999187i	$-0.512833\pi$
$71$	4.81203	−	1.75144i	0.571083	−	0.207857i	0.611389	+	0.791330i	$0.290611\pi$
$72$	15.1477	+	5.51331i	1.78517	+	0.649749i
$73$	−6.03960	−	5.06782i	−0.706881	−	0.593144i	0.216841	−	0.976207i	$-0.430425\pi$
$73$	−6.03960	−	5.06782i	−0.706881	−	0.593144i	−0.923722	+	0.383063i	$0.874869\pi$
$74$	0.0744033	−	0.421962i	0.00864920	−	0.0490521i
$75$	−0.928776			−0.107246
$76$	21.0723	−	2.77705i	2.41716	−	0.318550i
$77$	12.5186			1.42663
$78$	0.154001	−	0.873384i	0.0174372	−	0.0988913i
$79$	−7.14004	−	5.99121i	−0.803317	−	0.674063i	0.145685	−	0.989331i	$-0.453461\pi$
$79$	−7.14004	−	5.99121i	−0.803317	−	0.674063i	−0.949003	+	0.315268i	$0.897906\pi$
$80$	9.41980	+	3.42853i	1.05317	+	0.383321i
$81$	−1.86106	+	0.677369i	−0.206784	+	0.0752633i
$82$	−14.8119	+	12.4287i	−1.63570	+	1.37252i
$83$	−0.364559	−	0.631436i	−0.0400156	−	0.0693091i	0.845324	−	0.534254i	$-0.179407\pi$
$83$	−0.364559	−	0.631436i	−0.0400156	−	0.0693091i	−0.885340	+	0.464945i	$0.846074\pi$
$84$	−8.67627	+	15.0277i	−0.946659	+	1.63966i
$85$	0.118813	+	0.673822i	0.0128871	+	0.0730863i
$86$	1.17838	+	6.68294i	0.127068	+	0.720640i
$87$	0.715090	−	1.23857i	0.0766657	−	0.132789i
$88$	12.3205	+	21.3398i	1.31337	+	2.27483i
$89$	9.68319	−	8.12516i	1.02642	−	0.861265i	0.0359958	−	0.999352i	$-0.488540\pi$
$89$	9.68319	−	8.12516i	1.02642	−	0.861265i	0.990420	+	0.138087i	$0.0440953\pi$
$90$	−5.26670	+	1.91692i	−0.555159	+	0.202061i
$91$	−1.31109	−	0.477199i	−0.137440	−	0.0500241i
$92$	−34.9928	−	29.3625i	−3.64825	−	3.06125i
$93$	0.394957	−	2.23991i	0.0409551	−	0.232268i
$94$	23.0673			2.37921
$95$	−2.94441	+	3.21411i	−0.302090	+	0.329760i
$96$	−10.4046			−1.06191
$97$	−1.31055	+	7.43249i	−0.133066	+	0.754655i	0.843121	+	0.537724i	$0.180716\pi$
$97$	−1.31055	+	7.43249i	−0.133066	+	0.754655i	−0.976187	+	0.216931i	$0.930395\pi$
$98$	15.4291	+	12.9466i	1.55858	+	1.30780i
$99$	−6.56216	−	2.38843i	−0.659522	−	0.240046i
$100$	−4.58206	+	1.66773i	−0.458206	+	0.166773i
$101$	3.10910	−	2.60884i	0.309367	−	0.259589i	−0.474864	−	0.880059i	$-0.657503\pi$
$101$	3.10910	−	2.60884i	0.309367	−	0.259589i	0.784230	+	0.620470i	$0.213058\pi$
$102$	−0.833196	−	1.44314i	−0.0824987	−	0.142892i
$103$	−6.88900	+	11.9321i	−0.678794	+	1.17571i	0.296551	+	0.955017i	$0.404164\pi$
$103$	−6.88900	+	11.9321i	−0.678794	+	1.17571i	−0.975344	+	0.220688i	$0.929170\pi$
$104$	−0.476893	−	2.70459i	−0.0467632	−	0.265207i
$105$	−0.617958	−	3.50461i	−0.0603065	−	0.342015i
$106$	−14.5783	+	25.2503i	−1.41597	+	2.45253i
$107$	−3.26230	−	5.65047i	−0.315379	−	0.546252i	0.664139	−	0.747609i	$-0.268798\pi$
$107$	−3.26230	−	5.65047i	−0.315379	−	0.546252i	−0.979518	+	0.201357i	$0.935465\pi$
$108$	17.8230	−	14.9553i	1.71502	−	1.43907i
$109$	8.46545	−	3.08117i	0.810843	−	0.295123i	0.0968707	−	0.995297i	$-0.469117\pi$
$109$	8.46545	−	3.08117i	0.810843	−	0.295123i	0.713972	+	0.700174i	$0.246894\pi$
$110$	−8.05078	−	2.93024i	−0.767611	−	0.279388i
$111$	−0.116256	−	0.0975503i	−0.0110345	−	0.00925906i
$112$	−6.66966	+	37.8255i	−0.630224	+	3.57418i
$113$	13.1464			1.23670			0.618352	−	0.785901i	$-0.287800\pi$
$113$	13.1464			1.23670			0.618352	+	0.785901i	$0.287800\pi$
$114$	4.06126	−	9.80841i	0.380372	−	0.918642i
$115$	9.36807			0.873577
$116$	1.30384	−	7.39445i	0.121059	−	0.686557i
$117$	0.596218	+	0.500287i	0.0551204	+	0.0462515i
$118$	19.1948	+	6.98634i	1.76703	+	0.643145i
$119$	−2.46353	+	0.896650i	−0.225831	+	0.0821958i
$120$	5.36593	−	4.50255i	0.489840	−	0.411024i
$121$	0.162595	+	0.281622i	0.0147813	+	0.0256020i
$122$	−3.17150	+	5.49320i	−0.287134	+	0.497331i
$123$	1.18923	+	6.74447i	0.107229	+	0.608128i
$124$	−2.07355	−	11.7597i	−0.186210	−	1.05605i
$125$	0.500000	−	0.866025i	0.0447214	−	0.0774597i
$126$	−10.7374	−	18.5978i	−0.956565	−	1.65682i
$127$	−6.71890	+	5.63783i	−0.596206	+	0.500276i	−0.890224	−	0.455524i	$-0.849452\pi$
$127$	−6.71890	+	5.63783i	−0.596206	+	0.500276i	0.294018	+	0.955800i	$0.405008\pi$
$128$	−1.92836	+	0.701866i	−0.170445	+	0.0620368i
$129$	2.25861	+	0.822066i	0.198859	+	0.0723789i
$130$	0.731470	+	0.613776i	0.0641542	+	0.0538317i
$131$	1.80469	−	10.2349i	0.157676	−	0.894226i	−0.798622	−	0.601833i	$-0.794437\pi$
$131$	1.80469	−	10.2349i	0.157676	−	0.894226i	0.956298	−	0.292393i	$-0.0944515\pi$
$132$	14.7967			1.28789
$133$	−14.0870	−	8.97182i	−1.22150	−	0.777956i
$134$	−25.0616			−2.16500
$135$	−0.828557	+	4.69898i	−0.0713109	+	0.404424i
$136$	−3.95301	−	3.31697i	−0.338968	−	0.284428i
$137$	−3.35026	−	1.21940i	−0.286232	−	0.104180i	0.194914	−	0.980820i	$-0.437557\pi$
$137$	−3.35026	−	1.21940i	−0.286232	−	0.104180i	−0.481146	+	0.876640i	$0.659779\pi$
$138$	−21.4397	+	7.80341i	−1.82507	+	0.664271i
$139$	6.64270	−	5.57389i	0.563427	−	0.472771i	−0.316030	−	0.948749i	$-0.602350\pi$
$139$	6.64270	−	5.57389i	0.563427	−	0.472771i	0.879457	+	0.475978i	$0.157906\pi$
$140$	−9.34162	−	16.1802i	−0.789511	−	1.36747i
$141$	4.08513	−	7.07565i	0.344030	−	0.595877i
$142$	−2.33176	−	13.2241i	−0.195677	−	1.10974i
$143$	0.206596	+	1.17166i	0.0172764	+	0.0979793i
$144$	10.7129	−	18.5553i	0.892741	−	1.54627i
$145$	0.769927	+	1.33355i	0.0639389	+	0.110745i
$146$	−15.8373	+	13.2890i	−1.31070	+	1.09981i
$147$	6.70367	−	2.43994i	0.552910	−	0.201243i
$148$	−0.748705	−	0.272506i	−0.0615431	−	0.0223999i
$149$	−12.9946	−	10.9038i	−1.06456	−	0.893274i	−0.0700136	−	0.997546i	$-0.522304\pi$
$149$	−12.9946	−	10.9038i	−1.06456	−	0.893274i	−0.994549	+	0.104272i	$0.966749\pi$
$150$	−0.422915	+	2.39847i	−0.0345309	+	0.195834i
$151$	−11.0821			−0.901849			−0.450925	−	0.892562i	$-0.648906\pi$
$151$	−11.0821			−0.901849			−0.450925	+	0.892562i	$0.648906\pi$
$152$	1.42963	−	32.8432i	0.115958	−	2.66394i
$153$	1.46243			0.118230
$154$	5.70032	−	32.3281i	0.459345	−	2.60508i
$155$	1.87596	+	1.57411i	0.150680	+	0.126436i
$156$	−1.54968	−	0.564038i	−0.124074	−	0.0451592i
$157$	0.876222	−	0.318919i	0.0699302	−	0.0254525i	−0.306818	−	0.951768i	$-0.599264\pi$
$157$	0.876222	−	0.318919i	0.0699302	−	0.0254525i	0.376748	+	0.926316i	$0.377042\pi$
$158$	−18.7229	+	15.7104i	−1.48951	+	1.24985i
$159$	5.16352	+	8.94347i	0.409493	+	0.709264i
$160$	5.60122	−	9.70160i	0.442816	−	0.766979i
$161$	6.23301	+	35.3491i	0.491230	+	2.78590i
$162$	0.901812	+	5.11443i	0.0708530	+	0.401828i
$163$	−4.03654	+	6.99149i	−0.316166	+	0.547616i	−0.979685	−	0.200544i	$-0.935729\pi$
$163$	−4.03654	+	6.99149i	−0.316166	+	0.547616i	0.663519	+	0.748160i	$0.269062\pi$
$164$	17.9775	+	31.1380i	1.40381	+	2.43147i
$165$	−2.32458	+	1.95056i	−0.180969	+	0.151851i
$166$	−1.79662	+	0.653916i	−0.139445	+	0.0507537i
$167$	12.8263	+	4.66839i	0.992529	+	0.361251i	0.786699	−	0.617337i	$-0.211788\pi$
$167$	12.8263	+	4.66839i	0.992529	+	0.361251i	0.205830	+	0.978588i	$0.434011\pi$
$168$	20.5599	+	17.2518i	1.58623	+	1.33101i
$169$	−2.23440	+	12.6719i	−0.171877	+	0.974763i
$170$	1.79418			0.137607
$171$	5.67256	+	7.39061i	0.433792	+	0.565174i
$172$	12.6188			0.962176
$173$	1.45416	−	8.24695i	0.110558	−	0.627004i	−0.878296	−	0.478117i	$-0.841320\pi$
$173$	1.45416	−	8.24695i	0.110558	−	0.627004i	0.988854	−	0.148888i	$-0.0475692\pi$
$174$	−2.87287	−	2.41063i	−0.217792	−	0.182749i
$175$	3.60050	+	1.31048i	0.272172	+	0.0990627i
$176$	30.7767	−	11.2018i	2.31988	−	0.844368i
$177$	5.54232	−	4.65056i	0.416586	−	0.349557i
$178$	−16.5732	−	28.7056i	−1.24221	−	2.15158i
$179$	2.85227	−	4.94028i	0.213189	−	0.369254i	−0.739522	−	0.673132i	$-0.764948\pi$
$179$	2.85227	−	4.94028i	0.213189	−	0.369254i	0.952711	+	0.303879i	$0.0982817\pi$
$180$	1.80978	+	10.2638i	0.134893	+	0.765016i
$181$	2.57719	+	14.6160i	0.191561	+	1.08640i	0.917231	+	0.398355i	$0.130419\pi$
$181$	2.57719	+	14.6160i	0.191561	+	1.08640i	−0.725670	+	0.688043i	$0.758470\pi$
$182$	−1.82932	+	3.16848i	−0.135598	+	0.234863i
$183$	1.12332	+	1.94565i	0.0830383	+	0.143827i
$184$	−54.1232	+	45.4148i	−3.99002	+	3.34802i
$185$	0.153545	−	0.0558858i	0.0112889	−	0.00410881i
$186$	−5.60451	−	2.03987i	−0.410942	−	0.149571i
$187$	1.71249	+	1.43695i	0.125230	+	0.105080i
$188$	7.44852	−	42.2426i	0.543239	−	3.08086i
$189$	−18.2822			−1.32984
$190$	6.95938	+	9.06716i	0.504886	+	0.657801i
$191$	−19.7204			−1.42692			−0.713460	−	0.700695i	$-0.752873\pi$
$191$	−19.7204			−1.42692			−0.713460	+	0.700695i	$0.752873\pi$
$192$	−1.50423	+	8.53088i	−0.108558	+	0.615664i
$193$	−3.16411	−	2.65500i	−0.227758	−	0.191111i	0.521767	−	0.853088i	$-0.325273\pi$
$193$	−3.16411	−	2.65500i	−0.227758	−	0.191111i	−0.749524	+	0.661977i	$0.769718\pi$
$194$	18.5969	+	6.76871i	1.33518	+	0.485965i
$195$	0.317810	−	0.115673i	0.0227589	−	0.00828354i
$196$	28.6909	−	24.0746i	2.04935	−	1.71961i
$197$	−0.0833078	−	0.144293i	−0.00593544	−	0.0102805i	0.863042	−	0.505131i	$-0.168556\pi$
$197$	−0.0833078	−	0.144293i	−0.00593544	−	0.0102805i	−0.868978	+	0.494851i	$0.835223\pi$
$198$	−9.15593	+	15.8585i	−0.650684	+	1.12702i
$199$	−0.900606	−	5.10759i	−0.0638423	−	0.362068i	−0.999946	−	0.0103448i	$-0.996707\pi$
$199$	−0.900606	−	5.10759i	−0.0638423	−	0.362068i	0.936104	−	0.351723i	$-0.114404\pi$
$200$	1.30963	+	7.42730i	0.0926051	+	0.525190i
$201$	−4.43832	+	7.68740i	−0.313055	+	0.542227i
$202$	−5.32135	−	9.21685i	−0.374409	−	0.648495i
$203$	−4.51971	+	3.79249i	−0.317222	+	0.266181i
$204$	−2.91183	+	1.05982i	−0.203869	+	0.0742022i
$205$	−6.92901	−	2.52195i	−0.483943	−	0.176141i
$206$	27.6766	+	23.2234i	1.92832	+	1.61805i
$207$	3.47697	−	19.7189i	0.241666	−	1.37056i
$208$	−3.65029			−0.253102
$209$	−0.619331	+	14.2281i	−0.0428400	+	0.984176i
$210$	−9.33169			−0.643948
$211$	−0.853752	+	4.84187i	−0.0587747	+	0.333328i	−0.999990	−	0.00447940i	$-0.998574\pi$
$211$	−0.853752	+	4.84187i	−0.0587747	+	0.333328i	0.941215	+	0.337807i	$0.109685\pi$
$212$	41.5330	+	34.8503i	2.85250	+	2.39353i
$213$	−4.46930	−	1.62669i	−0.306231	−	0.111459i
$214$	−16.0772	+	5.85164i	−1.09902	+	0.400010i
$215$	−1.98243	+	1.66346i	−0.135201	+	0.113447i
$216$	−17.9929	−	31.1647i	−1.22426	−	2.12049i
$217$	−4.69155	+	8.12599i	−0.318483	+	0.551628i
$218$	−4.10210	−	23.2642i	−0.277829	−	1.57565i
$219$	1.27156	+	7.21135i	0.0859237	+	0.487298i
$220$	−7.96572	+	13.7970i	−0.537049	+	0.930196i
$221$	−0.124576	−	0.215772i	−0.00837990	−	0.0145144i
$222$	−0.304850	+	0.255800i	−0.0204602	+	0.0171682i
$223$	8.23341	−	2.99672i	0.551350	−	0.200675i	−0.0512961	−	0.998683i	$-0.516335\pi$
$223$	8.23341	−	2.99672i	0.551350	−	0.200675i	0.602646	+	0.798008i	$0.294113\pi$
$224$	40.3344	+	14.6805i	2.69496	+	0.980885i
$225$	−1.63732	−	1.37388i	−0.109155	−	0.0915919i
$226$	5.98615	−	33.9491i	0.398193	−	2.25826i
$227$	−5.53943			−0.367665			−0.183833	−	0.982958i	$-0.558850\pi$
$227$	−5.53943			−0.367665			−0.183833	+	0.982958i	$0.558850\pi$
$228$	−16.6505	−	10.6045i	−1.10271	−	0.702299i
$229$	26.8762			1.77603			0.888014	−	0.459816i	$-0.152085\pi$
$229$	26.8762			1.77603			0.888014	+	0.459816i	$0.152085\pi$
$230$	4.26572	−	24.1921i	0.281273	−	1.59518i
$231$	−8.90682	−	7.47371i	−0.586025	−	0.491734i
$232$	−10.9130	−	3.97201i	−0.716475	−	0.260776i
$233$	−2.39870	+	0.873055i	−0.157144	+	0.0571958i	−0.419394	−	0.907804i	$-0.637758\pi$
$233$	−2.39870	+	0.873055i	−0.157144	+	0.0571958i	0.262250	+	0.965000i	$0.415535\pi$
$234$	1.56343	−	1.31187i	0.102204	−	0.0857596i
$235$	4.39840	+	7.61825i	0.286920	+	0.496960i
$236$	18.9920	−	32.8952i	1.23628	−	2.14129i
$237$	1.50324	+	8.52529i	0.0976459	+	0.553777i
$238$	1.19375	+	6.77009i	0.0773793	+	0.438840i
$239$	12.7663	−	22.1119i	0.825784	−	1.43030i	−0.0755339	−	0.997143i	$-0.524066\pi$
$239$	12.7663	−	22.1119i	0.825784	−	1.43030i	0.901318	−	0.433157i	$-0.142601\pi$
$240$	−4.65519	−	8.06302i	−0.300491	−	0.520466i
$241$	−0.759825	+	0.637569i	−0.0489446	+	0.0410694i	−0.666932	−	0.745119i	$-0.732393\pi$
$241$	−0.759825	+	0.637569i	−0.0489446	+	0.0410694i	0.617987	+	0.786188i	$0.287948\pi$
$242$	0.801298	−	0.291648i	0.0515094	−	0.0187479i
$243$	15.1797	+	5.52494i	0.973775	+	0.354425i
$244$	9.03549	+	7.58168i	0.578438	+	0.485367i
$245$	−1.33379	+	7.56428i	−0.0852125	+	0.483264i
$246$	17.9584			1.14499
$247$	0.607224	−	1.46652i	0.0386367	−	0.0933121i
$248$	−18.4692			−1.17280
$249$	−0.117593	+	0.666900i	−0.00745212	+	0.0422631i
$250$	−2.00875	−	1.68554i	−0.127044	−	0.106603i
$251$	13.6599	+	4.97181i	0.862207	+	0.313818i	0.735007	−	0.678059i	$-0.237179\pi$
$251$	13.6599	+	4.97181i	0.862207	+	0.313818i	0.127200	+	0.991877i	$0.459401\pi$
$252$	−37.5248	+	13.6579i	−2.36384	+	0.860368i
$253$	23.4468	−	19.6742i	1.47409	−	1.23691i
$254$	11.4997	+	19.9180i	0.721555	+	1.24977i
$255$	0.317742	−	0.550346i	0.0198978	−	0.0344640i
$256$	−2.30473	−	13.0708i	−0.144046	−	0.816923i
$257$	−2.98115	−	16.9069i	−0.185959	−	1.05463i	−0.924717	−	0.380655i	$-0.875698\pi$
$257$	−2.98115	−	16.9069i	−0.185959	−	1.05463i	0.738758	−	0.673971i	$-0.235413\pi$
$258$	3.15135	−	5.45830i	0.196195	−	0.339819i
$259$	0.313038	+	0.542198i	0.0194512	+	0.0336905i
$260$	1.36019	−	1.14133i	0.0843554	−	0.0707826i
$261$	3.09276	−	1.12567i	0.191437	−	0.0696773i
$262$	−25.6088	−	9.32083i	−1.58212	−	0.575843i
$263$	0.960678	+	0.806105i	0.0592380	+	0.0497066i	0.671926	−	0.740618i	$-0.265467\pi$
$263$	0.960678	+	0.806105i	0.0592380	+	0.0497066i	−0.612688	+	0.790325i	$0.709912\pi$
$264$	3.97412	−	22.5384i	0.244590	−	1.38714i
$265$	−11.1190			−0.683033
$266$	−29.5833	+	32.2931i	−1.81387	+	1.98002i
$267$	−11.7402			−0.718489
$268$	−8.09250	+	45.8949i	−0.494328	+	2.80347i
$269$	−10.4753	−	8.78981i	−0.638689	−	0.535924i	0.264926	−	0.964269i	$-0.414652\pi$
$269$	−10.4753	−	8.78981i	−0.638689	−	0.535924i	−0.903615	+	0.428345i	$0.859097\pi$
$270$	11.7574	+	4.27933i	0.715530	+	0.260432i
$271$	−12.6289	+	4.59653i	−0.767150	+	0.279220i	−0.695804	−	0.718232i	$-0.744952\pi$
$271$	−12.6289	+	4.59653i	−0.767150	+	0.279220i	−0.0713459	+	0.997452i	$0.522729\pi$
$272$	−5.25417	+	4.40877i	−0.318581	+	0.267321i
$273$	0.647932	+	1.12225i	0.0392146	+	0.0679217i
$274$	−4.67450	+	8.09647i	−0.282397	+	0.489126i
$275$	−0.567349	−	3.21760i	−0.0342124	−	0.194028i
$276$	7.36726	+	41.7818i	0.443457	+	2.51497i
$277$	6.01711	−	10.4219i	0.361533	−	0.626194i	−0.626680	−	0.779277i	$-0.715587\pi$
$277$	6.01711	−	10.4219i	0.361533	−	0.626194i	0.988213	+	0.153083i	$0.0489201\pi$
$278$	−11.3693	−	19.6922i	−0.681884	−	1.18106i
$279$	4.00962	−	3.36447i	0.240050	−	0.201426i
$280$	−27.1546	+	9.88345i	−1.62280	+	0.590649i
$281$	13.4574	+	4.89810i	0.802802	+	0.292196i	0.710647	−	0.703549i	$-0.248402\pi$
$281$	13.4574	+	4.89810i	0.802802	+	0.292196i	0.0921549	+	0.995745i	$0.470625\pi$
$282$	−16.4120	−	13.7713i	−0.977321	−	0.820069i
$283$	0.922089	−	5.22943i	0.0548125	−	0.310857i	−0.945059	−	0.326900i	$-0.893996\pi$
$283$	0.922089	−	5.22943i	0.0548125	−	0.310857i	0.999871	+	0.0160432i	$0.00510692\pi$
$284$	−24.9699			−1.48169
$285$	4.01374	−	0.528957i	0.237753	−	0.0313327i
$286$	3.11977			0.184476
$287$	4.90606	−	27.8236i	0.289596	−	1.64238i
$288$	−18.3420	−	15.3908i	−1.08081	−	0.906911i
$289$	15.5349	+	5.65422i	0.913815	+	0.332601i
$290$	3.79435	−	1.38103i	0.222812	−	0.0810969i
$291$	5.36967	−	4.50569i	0.314776	−	0.264128i
$292$	19.2220	+	33.2935i	1.12488	+	1.94835i
$293$	0.442458	−	0.766360i	0.0258487	−	0.0447712i	−0.852812	−	0.522219i	$-0.825105\pi$
$293$	0.442458	−	0.766360i	0.0258487	−	0.0447712i	0.878660	+	0.477447i	$0.158438\pi$
$294$	−3.24840	−	18.4226i	−0.189450	−	1.07443i
$295$	1.35268	+	7.67146i	0.0787564	+	0.446650i
$296$	−0.616169	+	1.06724i	−0.0358141	+	0.0620318i
$297$	7.79475	+	13.5009i	0.452297	+	0.783402i
$298$	−34.0750	+	28.5923i	−1.97391	+	1.65631i
$299$	−3.20558	+	1.16674i	−0.185383	+	0.0674741i
$300$	4.25571	+	1.54895i	0.245703	+	0.0894287i
$301$	−7.59583	−	6.37366i	−0.437816	−	0.367372i
$302$	−5.04620	+	28.6184i	−0.290376	+	1.64681i
$303$	−3.76956			−0.216556
$304$	−42.6606	−	9.45173i	−2.44675	−	0.542094i
$305$	−2.41893			−0.138507
$306$	0.665912	−	3.77657i	0.0380677	−	0.215892i
$307$	−19.0356	−	15.9728i	−1.08642	−	0.911614i	−0.0899815	−	0.995943i	$-0.528681\pi$
$307$	−19.0356	−	15.9728i	−1.08642	−	0.911614i	−0.996438	+	0.0843293i	$0.973125\pi$
$308$	−57.3612	−	20.8778i	−3.26846	−	1.18962i
$309$	12.0250	−	4.37672i	0.684076	−	0.248983i
$310$	4.91920	−	4.12770i	0.279392	−	0.234438i
$311$	−9.25003	−	16.0215i	−0.524521	−	0.908497i	−0.999592	−	0.0285497i	$-0.990911\pi$
$311$	−9.25003	−	16.0215i	−0.524521	−	0.908497i	0.475071	−	0.879947i	$-0.342422\pi$
$312$	−1.27536	+	2.20898i	−0.0722028	+	0.125059i
$313$	5.76710	+	32.7069i	0.325976	+	1.84870i	0.502727	+	0.864445i	$0.332330\pi$
$313$	5.76710	+	32.7069i	0.325976	+	1.84870i	−0.176751	+	0.984256i	$0.556559\pi$
$314$	−0.424591	−	2.40797i	−0.0239611	−	0.135890i
$315$	4.09476	−	7.09233i	0.230713	−	0.399607i
$316$	22.7244	+	39.3597i	1.27835	+	2.21416i
$317$	5.06335	−	4.24865i	0.284386	−	0.238628i	−0.489424	−	0.872046i	$-0.662793\pi$
$317$	5.06335	−	4.24865i	0.284386	−	0.238628i	0.773810	+	0.633418i	$0.218349\pi$
$318$	25.4468	−	9.26188i	1.42699	−	0.519380i
$319$	4.72765	+	1.72072i	0.264698	+	0.0963420i
$320$	−7.14473	−	5.99514i	−0.399402	−	0.335138i
$321$	−1.05229	+	5.96783i	−0.0587331	+	0.333092i
$322$	94.1237			5.24531
$323$	−0.897210	−	2.84428i	−0.0499221	−	0.158260i
$324$	9.65715			0.536508
$325$	−0.0632326	+	0.358610i	−0.00350751	+	0.0198921i
$326$	16.2168	+	13.6075i	0.898165	+	0.753650i
$327$	−7.86250	−	2.86172i	−0.434797	−	0.158253i
$328$	52.2578	−	19.0203i	2.88545	−	1.05022i
$329$	−25.8200	+	21.6655i	−1.42350	+	1.19446i
$330$	3.97863	+	6.89118i	0.219016	+	0.379347i
$331$	−8.25075	+	14.2907i	−0.453502	+	0.785489i	−0.998601	−	0.0528830i	$-0.983159\pi$
$331$	−8.25075	+	14.2907i	−0.453502	+	0.785489i	0.545098	+	0.838372i	$0.316492\pi$
$332$	0.617367	+	3.50126i	0.0338824	+	0.192157i
$333$	−0.0606458	−	0.343939i	−0.00332337	−	0.0188478i
$334$	17.8961	−	30.9969i	0.979229	−	1.69608i
$335$	−4.77868	−	8.27691i	−0.261087	−	0.452216i
$336$	27.3274	−	22.9304i	1.49083	−	1.25096i
$337$	5.59372	−	2.03595i	0.304709	−	0.110905i	−0.185140	−	0.982712i	$-0.559274\pi$
$337$	5.59372	−	2.03595i	0.304709	−	0.110905i	0.489849	+	0.871807i	$0.337052\pi$
$338$	31.7065	+	11.5402i	1.72461	+	0.627706i
$339$	−9.35342	−	7.84845i	−0.508008	−	0.426269i
$340$	0.579347	−	3.28564i	0.0314195	−	0.178189i
$341$	8.00108			0.433283
$342$	21.6685	−	11.2835i	1.17170	−	0.610143i
$343$	−2.60918			−0.140882
$344$	3.38917	−	19.2210i	0.182732	−	1.03632i
$345$	−6.66523	−	5.59279i	−0.358844	−	0.301106i
$346$	−20.6348	−	7.51044i	−1.10933	−	0.403764i
$347$	−20.3092	+	7.39194i	−1.09025	+	0.396820i	−0.823715	−	0.567004i	$-0.808102\pi$
$347$	−20.3092	+	7.39194i	−1.09025	+	0.396820i	−0.266539	+	0.963824i	$0.585880\pi$
$348$	−5.34219	+	4.48263i	−0.286371	+	0.240294i
$349$	1.21095	+	2.09743i	0.0648208	+	0.112273i	0.896614	−	0.442812i	$-0.146019\pi$
$349$	1.21095	+	2.09743i	0.0648208	+	0.112273i	−0.831794	+	0.555085i	$0.812686\pi$
$350$	5.02365	−	8.70121i	0.268525	−	0.465099i
$351$	−0.301713	−	1.71110i	−0.0161042	−	0.0913316i
$352$	−6.35570	−	36.0450i	−0.338760	−	1.92120i
$353$	−3.82577	+	6.62643i	−0.203625	+	0.352690i	−0.949694	−	0.313180i	$-0.898606\pi$
$353$	−3.82577	+	6.62643i	−0.203625	+	0.352690i	0.746069	+	0.665869i	$0.231939\pi$
$354$	−9.48592	−	16.4301i	−0.504171	−	0.873250i
$355$	3.92280	−	3.29162i	0.208201	−	0.174701i
$356$	−57.9195	+	21.0810i	−3.06973	+	1.11729i
$357$	2.28806	+	0.832787i	0.121097	+	0.0440758i
$358$	−11.4590	−	9.61525i	−0.605627	−	0.508182i
$359$	1.18268	−	6.70733i	0.0624197	−	0.353999i	−0.937561	−	0.347820i	$-0.886922\pi$
$359$	1.18268	−	6.70733i	0.0624197	−	0.353999i	0.999981	−	0.00617924i	$-0.00196693\pi$
$360$	16.1198			0.849589
$361$	10.8938	−	15.5668i	0.573360	−	0.819303i
$362$	38.9178			2.04548
$363$	0.0524466	−	0.297440i	0.00275273	−	0.0156115i
$364$	5.21167	+	4.37311i	0.273166	+	0.229213i
$365$	−7.40866	−	2.69653i	−0.387787	−	0.141143i
$366$	5.53595	−	2.01492i	0.289369	−	0.105322i
$367$	−10.5416	+	8.84542i	−0.550265	+	0.461727i	−0.875031	−	0.484067i	$-0.839159\pi$
$367$	−10.5416	+	8.84542i	−0.550265	+	0.461727i	0.324766	+	0.945795i	$0.394715\pi$
$368$	46.9544	+	81.3274i	2.44767	+	4.23948i
$369$	−7.88018	+	13.6489i	−0.410226	+	0.710532i
$370$	−0.0744033	−	0.421962i	−0.00386804	−	0.0219368i
$371$	−7.39796	−	41.9559i	−0.384083	−	2.17824i
$372$	−5.54529	+	9.60473i	−0.287510	+	0.497982i
$373$	−15.1552	−	26.2495i	−0.784705	−	1.35915i	−0.929175	−	0.369640i	$-0.879481\pi$
$373$	−15.1552	−	26.2495i	−0.784705	−	1.35915i	0.144470	−	0.989509i	$-0.453852\pi$
$374$	4.49055	−	3.76802i	0.232201	−	0.194840i
$375$	−0.872764	+	0.317660i	−0.0450693	+	0.0164039i
$376$	−62.3434	−	22.6911i	−3.21511	−	1.17021i
$377$	−0.429541	−	0.360427i	−0.0221225	−	0.0185630i
$378$	−8.32476	+	47.2121i	−0.428179	+	2.42833i
$379$	−3.43860			−0.176629			−0.0883144	−	0.996093i	$-0.528148\pi$
$379$	−3.43860			−0.176629			−0.0883144	+	0.996093i	$0.528148\pi$
$380$	18.8517	−	9.81674i	0.967072	−	0.503588i
$381$	8.14620			0.417343
$382$	−8.97964	+	50.9260i	−0.459438	+	2.60560i
$383$	14.0432	+	11.7836i	0.717572	+	0.602114i	0.926712	−	0.375771i	$-0.122622\pi$
$383$	14.0432	+	11.7836i	0.717572	+	0.602114i	−0.209141	+	0.977886i	$0.567067\pi$
$384$	1.79102	+	0.651876i	0.0913974	+	0.0332659i
$385$	11.7637	−	4.28163i	0.599533	−	0.218212i
$386$	−8.29704	+	6.96205i	−0.422308	+	0.354359i
$387$	2.76563	+	4.79022i	0.140585	+	0.243500i
$388$	18.4004	−	31.8704i	0.934139	−	1.61798i
$389$	0.723319	+	4.10215i	0.0366737	+	0.207987i	0.997638	−	0.0686838i	$-0.0218799\pi$
$389$	0.723319	+	4.10215i	0.0366737	+	0.207987i	−0.960965	+	0.276671i	$0.910769\pi$
$390$	−0.154001	−	0.873384i	−0.00779815	−	0.0442255i
$391$	−3.20490	+	5.55104i	−0.162079	+	0.280728i
$392$	−28.9645	−	50.1679i	−1.46293	−	2.53386i
$393$	−7.39429	+	6.20454i	−0.372992	+	0.312978i
$394$	−0.410557	+	0.149431i	−0.0206836	+	0.00752820i
$395$	−8.75856	−	3.18785i	−0.440691	−	0.160398i
$396$	26.0849	+	21.8879i	1.31082	+	1.09991i
$397$	−3.45592	+	19.5995i	−0.173447	+	0.983669i	0.766473	+	0.642276i	$0.222010\pi$
$397$	−3.45592	+	19.5995i	−0.173447	+	0.983669i	−0.939921	+	0.341393i	$0.889101\pi$
$398$	−13.5999			−0.681703
$399$	4.66647	+	14.7934i	0.233616	+	0.740594i
$400$	10.0243			0.501217
$401$	−1.64601	+	9.33496i	−0.0821976	+	0.466166i	0.915729	+	0.401797i	$0.131614\pi$
$401$	−1.64601	+	9.33496i	−0.0821976	+	0.466166i	−0.997926	+	0.0643684i	$0.979497\pi$
$402$	17.8310	+	14.9619i	0.889327	+	0.746234i
$403$	−0.837964	−	0.304994i	−0.0417419	−	0.0151928i
$404$	−18.5969	+	6.76872i	−0.925231	+	0.336756i
$405$	−1.51715	+	1.27304i	−0.0753877	+	0.0632578i
$406$	7.73568	+	13.3986i	0.383915	+	0.664961i
$407$	0.266932	−	0.462339i	0.0132313	−	0.0229173i
$408$	0.832252	+	4.71994i	0.0412026	+	0.233672i
$409$	−4.04137	−	22.9197i	−0.199833	−	1.13331i	−0.905366	−	0.424632i	$-0.860404\pi$
$409$	−4.04137	−	22.9197i	−0.199833	−	1.13331i	0.705533	−	0.708677i	$-0.250708\pi$
$410$	−9.66779	+	16.7451i	−0.477458	+	0.826982i
$411$	1.65567	+	2.86771i	0.0816682	+	0.141454i
$412$	51.4654	−	43.1846i	2.53552	−	2.12755i
$413$	−28.0472	+	10.2083i	−1.38011	+	0.502320i
$414$	−49.3388	−	17.9578i	−2.42487	−	0.882580i
$415$	−0.558538	−	0.468669i	−0.0274175	−	0.0230060i
$416$	−0.708360	+	4.01731i	−0.0347302	+	0.196965i
$417$	−8.05382			−0.394397
$418$	36.4605	+	8.07806i	1.78334	+	0.395111i
$419$	3.05296			0.149147			0.0745735	−	0.997216i	$-0.476240\pi$
$419$	3.05296			0.149147			0.0745735	+	0.997216i	$0.476240\pi$
$420$	−3.01324	+	17.0889i	−0.147031	+	0.833854i
$421$	21.4803	+	18.0241i	1.04689	+	0.878441i	0.992763	−	0.120093i	$-0.0383194\pi$
$421$	21.4803	+	18.0241i	1.04689	+	0.878441i	0.0541226	+	0.998534i	$0.482764\pi$
$422$	12.1149	+	4.40946i	0.589743	+	0.214649i
$423$	17.6682	−	6.43068i	0.859055	−	0.312670i
$424$	64.2389	−	53.9028i	3.11972	−	2.61775i
$425$	0.342109	+	0.592550i	0.0165947	+	0.0287429i
$426$	−6.23585	+	10.8008i	−0.302128	+	0.523301i
$427$	−1.60942	−	9.12750i	−0.0778855	−	0.441711i
$428$	5.52458	+	31.3314i	0.267041	+	1.51446i
$429$	0.552500	−	0.956957i	0.0266749	−	0.0462023i
$430$	3.39302	+	5.87688i	0.163626	+	0.283408i
$431$	23.1461	−	19.4219i	1.11491	−	0.935521i	0.116574	−	0.993182i	$-0.462809\pi$
$431$	23.1461	−	19.4219i	1.11491	−	0.935521i	0.998336	+	0.0576610i	$0.0183642\pi$
$432$	−44.9463	+	16.3591i	−2.16248	+	0.787079i
$433$	−14.1306	−	5.14314i	−0.679076	−	0.247163i	−0.0206251	−	0.999787i	$-0.506566\pi$
$433$	−14.1306	−	5.14314i	−0.679076	−	0.247163i	−0.658451	+	0.752624i	$0.728788\pi$
$434$	18.8483	+	15.8156i	0.904746	+	0.759172i
$435$	0.248348	−	1.40845i	0.0119074	−	0.0675301i
$436$	−43.9277			−2.10376
$437$	−40.4844	+	5.33530i	−1.93663	+	0.255222i
$438$	19.2016			0.917487
$439$	−6.70915	+	38.0495i	−0.320210	+	1.81600i	0.221181	+	0.975233i	$0.429009\pi$
$439$	−6.70915	+	38.0495i	−0.320210	+	1.81600i	−0.541391	+	0.840771i	$0.682102\pi$
$440$	18.8762	+	15.8390i	0.899886	+	0.755094i
$441$	15.4270	+	5.61498i	0.734621	+	0.267380i
$442$	−0.613935	+	0.223454i	−0.0292019	+	0.0106286i
$443$	3.36137	−	2.82052i	0.159703	−	0.134007i	−0.559434	−	0.828875i	$-0.688982\pi$
$443$	3.36137	−	2.82052i	0.159703	−	0.134007i	0.719138	+	0.694868i	$0.244537\pi$
$444$	0.370003	+	0.640865i	0.0175596	+	0.0304141i
$445$	6.32025	−	10.9470i	0.299609	−	0.518938i
$446$	−3.98966	−	22.6265i	−0.188916	−	1.07140i
$447$	2.73585	+	15.5158i	0.129401	+	0.733870i
$448$	17.8681	−	30.9485i	0.844189	−	1.46218i
$449$	12.3966	+	21.4716i	0.585032	+	1.01331i	0.994871	+	0.101148i	$0.0322514\pi$
$449$	12.3966	+	21.4716i	0.585032	+	1.01331i	−0.409839	+	0.912158i	$0.634415\pi$
$450$	−4.29345	+	3.60263i	−0.202395	+	0.169830i
$451$	−22.6387	+	8.23981i	−1.06601	+	0.387997i
$452$	−60.2374	−	21.9246i	−2.83333	−	1.03125i
$453$	7.88474	+	6.61608i	0.370457	+	0.310851i
$454$	−2.52236	+	14.3050i	−0.118380	+	0.671368i
$455$	−1.39524			−0.0654097
$456$	−20.6247	+	22.5139i	−0.965842	+	1.05431i
$457$	−21.1249			−0.988182			−0.494091	−	0.869410i	$-0.664499\pi$
$457$	−21.1249			−0.988182			−0.494091	+	0.869410i	$0.664499\pi$
$458$	12.2380	−	69.4051i	0.571843	−	3.24309i
$459$	−2.50092	−	2.09852i	−0.116733	−	0.0979507i
$460$	−42.9250	−	15.6234i	−2.00139	−	0.728446i
$461$	10.4865	−	3.81677i	0.488405	−	0.177765i	−0.0860668	−	0.996289i	$-0.527430\pi$
$461$	10.4865	−	3.81677i	0.488405	−	0.177765i	0.574471	+	0.818525i	$0.305208\pi$
$462$	−23.3558	+	19.5978i	−1.08661	+	0.911773i
$463$	2.02223	+	3.50260i	0.0939808	+	0.162779i	0.909183	−	0.416397i	$-0.136707\pi$
$463$	2.02223	+	3.50260i	0.0939808	+	0.162779i	−0.815202	+	0.579177i	$0.803374\pi$
$464$	−7.71801	+	13.3680i	−0.358300	+	0.620593i
$465$	−0.394957	−	2.23991i	−0.0183157	−	0.103873i
$466$	1.16234	+	6.59194i	0.0538442	+	0.305366i
$467$	−10.5608	+	18.2919i	−0.488697	+	0.846448i	−0.999915	−	0.0130026i	$-0.995861\pi$
$467$	−10.5608	+	18.2919i	−0.488697	+	0.846448i	0.511218	+	0.859451i	$0.329194\pi$
$468$	−1.89756	−	3.28668i	−0.0877149	−	0.151927i
$469$	28.0523	−	23.5387i	1.29534	−	1.08692i
$470$	21.6762	−	7.88948i	0.999847	−	0.363914i
$471$	−0.813815	−	0.296204i	−0.0374986	−	0.0136484i
$472$	−45.0049	−	37.7636i	−2.07152	−	1.73821i
$473$	−1.46823	+	8.32675i	−0.0675093	+	0.382864i
$474$	22.7002			1.04265
$475$	−1.66755	+	4.02732i	−0.0765123	+	0.184786i
$476$	12.7834			0.585926
$477$	−4.12682	+	23.4044i	−0.188954	+	1.07161i
$478$	−51.2887	−	43.0363i	−2.34589	−	1.96844i
$479$	−32.1446	−	11.6997i	−1.46872	−	0.534572i	−0.520971	−	0.853575i	$-0.674430\pi$
$479$	−32.1446	−	11.6997i	−1.46872	−	0.534572i	−0.947754	+	0.319003i	$0.896652\pi$
$480$	−9.77709	+	3.55857i	−0.446261	+	0.162426i
$481$	−0.0455800	+	0.0382462i	−0.00207827	+	0.00174388i
$482$	1.30047	+	2.25249i	0.0592349	+	0.102598i
$483$	16.6690	−	28.8715i	0.758464	−	1.31370i
$484$	−0.275348	−	1.56157i	−0.0125158	−	0.0709806i
$485$	1.31055	+	7.43249i	0.0595089	+	0.337492i
$486$	21.1796	−	36.6842i	0.960727	−	1.66403i
$487$	−0.888403	−	1.53876i	−0.0402574	−	0.0697278i	0.845195	−	0.534459i	$-0.179484\pi$
$487$	−0.888403	−	1.53876i	−0.0402574	−	0.0697278i	−0.885452	+	0.464731i	$0.846151\pi$
$488$	13.9752	−	11.7265i	0.632626	−	0.530836i
$489$	7.04589	−	2.56449i	0.318626	−	0.115970i
$490$	18.9266	+	6.88873i	0.855019	+	0.311201i
$491$	−15.8336	−	13.2860i	−0.714562	−	0.599589i	0.211313	−	0.977418i	$-0.432226\pi$
$491$	−15.8336	−	13.2860i	−0.714562	−	0.599589i	−0.925875	+	0.377830i	$0.876670\pi$
$492$	5.79884	−	32.8869i	0.261432	−	1.48265i
$493$	−1.05359			−0.0474515
$494$	−3.51063	−	2.23587i	−0.157951	−	0.100596i
$495$	−6.98330			−0.313876
$496$	−4.26280	+	24.1755i	−0.191405	+	1.08551i
$497$	15.0305	+	12.6121i	0.674211	+	0.565730i
$498$	1.66866	+	0.607342i	0.0747743	+	0.0272156i
$499$	40.0666	−	14.5830i	1.79363	−	0.652826i	0.794675	−	0.607036i	$-0.207641\pi$
$499$	40.0666	−	14.5830i	1.79363	−	0.652826i	0.998951	−	0.0457908i	$-0.0145808\pi$
$500$	−3.73533	+	3.13431i	−0.167049	+	0.140171i
$501$	−6.33865	−	10.9789i	−0.283190	−	0.490500i
$502$	19.0592	−	33.0115i	0.850654	−	1.47338i
$503$	4.24940	+	24.0995i	0.189471	+	1.07455i	0.920075	+	0.391743i	$0.128128\pi$
$503$	4.24940	+	24.0995i	0.189471	+	1.07455i	−0.730603	+	0.682802i	$0.760761\pi$
$504$	10.7253	+	60.8260i	0.477741	+	2.70940i
$505$	2.02932	−	3.51488i	0.0903035	−	0.156410i
$506$	−40.1303	−	69.5076i	−1.78401	−	3.08999i
$507$	9.15495	−	7.68191i	0.406585	−	0.341166i
$508$	40.1888	−	14.6275i	1.78309	−	0.648991i
$509$	−31.7212	−	11.5456i	−1.40602	−	0.511749i	−0.476060	−	0.879413i	$-0.657936\pi$
$509$	−31.7212	−	11.5456i	−1.40602	−	0.511749i	−0.929959	+	0.367664i	$0.880158\pi$
$510$	−1.27653	−	1.07114i	−0.0565257	−	0.0474307i
$511$	5.24568	−	29.7497i	0.232055	−	1.31605i
$512$	−38.9076			−1.71949
$513$	0.904472	−	20.7787i	0.0399334	−	0.917401i
$514$	−45.0179			−1.98566
$515$	−2.39253	+	13.5687i	−0.105427	+	0.597908i
$516$	−8.97809	−	7.53351i	−0.395238	−	0.331644i
$517$	27.0079	+	9.83007i	1.18781	+	0.432326i
$518$	1.54271	−	0.561501i	0.0677829	−	0.0246710i
$519$	−5.95809	+	4.99943i	−0.261531	+	0.219451i
$520$	−1.37316	−	2.37838i	−0.0602170	−	0.104299i
$521$	0.743494	−	1.28777i	0.0325731	−	0.0564182i	−0.849279	−	0.527944i	$-0.822963\pi$
$521$	0.743494	−	1.28777i	0.0325731	−	0.0564182i	0.881852	+	0.471526i	$0.156297\pi$
$522$	−1.49866	−	8.49931i	−0.0655944	−	0.372005i
$523$	1.09639	+	6.21793i	0.0479417	+	0.271891i	0.999350	−	0.0360402i	$-0.0114744\pi$
$523$	1.09639	+	6.21793i	0.0479417	+	0.271891i	−0.951409	+	0.307931i	$0.900363\pi$
$524$	−25.3382	+	43.8871i	−1.10691	+	1.91722i
$525$	−1.77934	−	3.08190i	−0.0776567	−	0.134505i
$526$	2.51913	−	2.11380i	0.109839	−	0.0921660i
$527$	−1.57452	+	0.573079i	−0.0685872	+	0.0249637i
$528$	−28.5847	−	10.4040i	−1.24399	−	0.452775i
$529$	49.6096	+	41.6274i	2.15694	+	1.80989i
$530$	−5.06298	+	28.7136i	−0.219922	+	1.24724i
$531$	16.6497			0.722537
$532$	49.5850	+	64.6029i	2.14978	+	2.80089i
$533$	2.68507			0.116303
$534$	−5.34586	+	30.3179i	−0.231338	+	1.31198i
$535$	−4.99814	−	4.19393i	−0.216088	−	0.181320i
$536$	67.7335	+	24.6530i	2.92564	+	1.06485i
$537$	−4.97872	+	1.81211i	−0.214848	+	0.0781982i
$538$	−27.4687	+	23.0490i	−1.18426	+	0.993711i
$539$	12.5478	+	21.7333i	0.540470	+	0.936122i
$540$	11.6331	−	20.1492i	0.500611	−	0.867083i
$541$	−5.19461	−	29.4601i	−0.223334	−	1.26659i	−0.865845	−	0.500312i	$-0.833218\pi$
$541$	−5.19461	−	29.4601i	−0.223334	−	1.26659i	0.642511	−	0.766276i	$-0.277893\pi$
$542$	6.11957	+	34.7058i	0.262858	+	1.49074i
$543$	6.89220	−	11.9376i	0.295773	−	0.512293i
$544$	3.83245	+	6.63800i	0.164315	+	0.284602i
$545$	6.90109	−	5.79071i	0.295610	−	0.248047i
$546$	3.19313	−	1.16220i	0.136653	−	0.0497378i
$547$	28.1867	+	10.2591i	1.20518	+	0.438648i	0.865028	−	0.501724i	$-0.167301\pi$
$547$	28.1867	+	10.2591i	1.20518	+	0.438648i	0.340147	+	0.940372i	$0.389523\pi$
$548$	13.3175	+	11.1747i	0.568894	+	0.477359i
$549$	−0.897788	+	5.09161i	−0.0383167	+	0.217305i
$550$	−8.56746			−0.365318
$551$	−4.08675	−	5.32450i	−0.174101	−	0.226831i
$552$	65.6207			2.79300
$553$	6.20147	−	35.1703i	0.263713	−	1.49559i
$554$	−24.1737	−	20.2842i	−1.02704	−	0.861792i
$555$	−0.142609	−	0.0519054i	−0.00605341	−	0.00220326i
$556$	−39.7330	+	14.4616i	−1.68506	+	0.613310i
$557$	20.7864	−	17.4418i	0.880746	−	0.739034i	−0.0855864	−	0.996331i	$-0.527276\pi$
$557$	20.7864	−	17.4418i	0.880746	−	0.739034i	0.966332	+	0.257297i	$0.0828319\pi$
$558$	−6.86264	−	11.8864i	−0.290519	−	0.503193i
$559$	0.471178	−	0.816104i	0.0199287	−	0.0345175i
$560$	6.66966	+	37.8255i	0.281845	+	1.59842i
$561$	−0.360542	−	2.04473i	−0.0152221	−	0.0863287i
$562$	18.7766	−	32.5221i	0.792044	−	1.37186i
$563$	19.8801	+	34.4334i	0.837847	+	1.45119i	0.891692	+	0.452643i	$0.149519\pi$
$563$	19.8801	+	34.4334i	0.837847	+	1.45119i	−0.0538451	+	0.998549i	$0.517148\pi$
$564$	−30.5186	+	25.6081i	−1.28506	+	1.07830i
$565$	12.3535	−	4.49632i	0.519717	−	0.189161i
$566$	−13.0846	−	4.76241i	−0.549987	−	0.200179i
$567$	−5.81307	−	4.87774i	−0.244126	−	0.204846i
$568$	−6.70644	+	38.0341i	−0.281396	+	1.59588i
$569$	−6.66486			−0.279405			−0.139703	−	0.990194i	$-0.544615\pi$
$569$	−6.66486			−0.279405			−0.139703	+	0.990194i	$0.544615\pi$
$570$	0.461664	−	10.6059i	0.0193370	−	0.444233i
$571$	−27.6502			−1.15713			−0.578563	−	0.815638i	$-0.696386\pi$
$571$	−27.6502			−1.15713			−0.578563	+	0.815638i	$0.696386\pi$
$572$	1.00739	−	5.71317i	0.0421209	−	0.238880i
$573$	14.0308	+	11.7732i	0.586144	+	0.491833i
$574$	−69.6178	−	25.3388i	−2.90579	−	1.05762i
$575$	8.80310	−	3.20407i	0.367115	−	0.133619i
$576$	−15.2710	+	12.8139i	−0.636290	+	0.533911i
$577$	−15.0134	−	26.0039i	−0.625015	−	1.08256i	−0.988538	−	0.150972i	$-0.951760\pi$
$577$	−15.0134	−	26.0039i	−0.625015	−	1.08256i	0.363523	−	0.931585i	$-0.381574\pi$
$578$	21.6752	−	37.5426i	0.901570	−	1.56156i
$579$	0.666160	+	3.77798i	0.0276847	+	0.157008i
$580$	−1.30384	−	7.39445i	−0.0541390	−	0.307038i
$581$	1.39684	−	2.41939i	0.0579506	−	0.100373i
$582$	−9.19042	−	15.9183i	−0.380955	−	0.659834i
$583$	−27.8291	+	23.3514i	−1.15256	+	0.967114i
$584$	55.8752	−	20.3369i	2.31213	−	0.841548i
$585$	0.731370	+	0.266197i	0.0302384	+	0.0110059i
$586$	−1.77757	−	1.49156i	−0.0734309	−	0.0616159i
$587$	−2.30489	+	13.0717i	−0.0951332	+	0.539527i	0.899573	+	0.436770i	$0.143878\pi$
$587$	−2.30489	+	13.0717i	−0.0951332	+	0.539527i	−0.994706	+	0.102757i	$0.967234\pi$
$588$	−34.7858			−1.43454
$589$	−9.00349	−	5.73419i	−0.370982	−	0.236273i
$590$	20.4267			0.840954
$591$	−0.0268718	+	0.152398i	−0.00110536	+	0.00626880i
$592$	1.25476	+	1.05287i	0.0515702	+	0.0432726i
$593$	−11.7218	−	4.26638i	−0.481356	−	0.175199i	0.0899335	−	0.995948i	$-0.471335\pi$
$593$	−11.7218	−	4.26638i	−0.481356	−	0.175199i	−0.571290	+	0.820748i	$0.693557\pi$
$594$	38.4141	−	13.9816i	1.57615	−	0.573671i
$595$	−2.00828	+	1.68515i	−0.0823316	+	0.0690845i
$596$	41.3576	+	71.6334i	1.69407	+	2.93422i
$597$	−2.40850	+	4.17164i	−0.0985732	+	0.170734i
$598$	1.55333	+	8.80935i	0.0635203	+	0.360241i
$599$	−5.75729	−	32.6512i	−0.235237	−	1.33409i	−0.842115	−	0.539298i	$-0.818690\pi$
$599$	−5.75729	−	32.6512i	−0.235237	−	1.33409i	0.606878	−	0.794795i	$-0.292422\pi$
$600$	3.50236	−	6.06626i	0.142983	−	0.247654i
$601$	12.4753	+	21.6079i	0.508879	+	0.881404i	0.999947	+	0.0102826i	$0.00327313\pi$
$601$	12.4753	+	21.6079i	0.508879	+	0.881404i	−0.491069	+	0.871121i	$0.663394\pi$
$602$	−19.9181	+	16.7132i	−0.811800	+	0.681181i
$603$	−19.1957	+	6.98667i	−0.781710	+	0.284519i
$604$	50.7789	+	18.4820i	2.06616	+	0.752022i
$605$	0.249109	+	0.209028i	0.0101277	+	0.00849818i
$606$	−1.71646	+	9.73452i	−0.0697264	+	0.395438i
$607$	−3.04625			−0.123644			−0.0618218	−	0.998087i	$-0.519691\pi$
$607$	−3.04625			−0.123644			−0.0618218	+	0.998087i	$0.519691\pi$
$608$	−18.6806	+	45.1158i	−0.757599	+	1.82969i
$609$	5.47984			0.222054
$610$	−1.10145	+	6.24664i	−0.0445964	+	0.252919i
$611$	−2.45386	−	2.05903i	−0.0992725	−	0.0832995i
$612$	−6.70093	−	2.43894i	−0.270869	−	0.0985883i
$613$	−20.7515	+	7.55293i	−0.838145	+	0.305060i	−0.725197	−	0.688541i	$-0.758251\pi$
$613$	−20.7515	+	7.55293i	−0.838145	+	0.305060i	−0.112948	+	0.993601i	$0.536029\pi$
$614$	−49.9159	+	41.8844i	−2.01444	+	1.69032i
$615$	3.42426	+	5.93099i	0.138079	+	0.239160i
$616$	−47.2071	+	81.7651i	−1.90203	+	3.29441i
$617$	−7.78325	−	44.1410i	−0.313342	−	1.77705i	−0.581371	−	0.813638i	$-0.697484\pi$
$617$	−7.78325	−	44.1410i	−0.313342	−	1.77705i	0.268030	−	0.963411i	$-0.413628\pi$
$618$	−5.82693	−	33.0462i	−0.234393	−	1.32931i
$619$	−3.64323	+	6.31025i	−0.146434	+	0.253630i	−0.929907	−	0.367795i	$-0.880113\pi$
$619$	−3.64323	+	6.31025i	−0.146434	+	0.253630i	0.783473	+	0.621425i	$0.213446\pi$
$620$	−5.97054	−	10.3413i	−0.239783	−	0.415316i
$621$	−34.2418	+	28.7323i	−1.37408	+	1.15299i
$622$	−45.5859	+	16.5919i	−1.82783	+	0.665275i
$623$	45.5122	+	16.5651i	1.82341	+	0.663666i
$624$	2.59712	+	2.17924i	0.103968	+	0.0872395i
$625$	0.173648	−	0.984808i	0.00694593	−	0.0393923i
$626$	87.0882			3.48074
$627$	8.93488	−	9.75329i	0.356825	−	0.389509i
$628$	−4.54677			−0.181436
$629$	−0.0194140	+	0.110102i	−0.000774085	+	0.00439006i
$630$	−16.4507	−	13.8038i	−0.655411	−	0.549955i
$631$	37.7879	+	13.7537i	1.50431	+	0.547525i	0.957173	−	0.289517i	$-0.0934945\pi$
$631$	37.7879	+	13.7537i	1.50431	+	0.547525i	0.547139	+	0.837042i	$0.315717\pi$
$632$	66.0560	−	24.0424i	2.62757	−	0.956356i
$633$	3.49806	−	2.93522i	0.139035	−	0.116664i
$634$	−8.66614	−	15.0102i	−0.344176	−	0.596131i
$635$	−4.38545	+	7.59582i	−0.174031	+	0.301431i
$636$	−8.74421	−	49.5909i	−0.346731	−	1.96641i
$637$	−0.485687	−	2.75447i	−0.0192436	−	0.109136i
$638$	6.59632	−	11.4252i	0.261151	−	0.452326i
$639$	−5.47259	−	9.47881i	−0.216492	−	0.374976i
$640$	−1.57201	+	1.31908i	−0.0621393	+	0.0521411i
$641$	23.9377	−	8.71261i	0.945482	−	0.344127i	0.177154	−	0.984183i	$-0.443311\pi$
$641$	23.9377	−	8.71261i	0.945482	−	0.344127i	0.768328	+	0.640056i	$0.221089\pi$
$642$	14.9322	+	5.43486i	0.589326	+	0.214497i
$643$	−32.4023	−	27.1888i	−1.27782	−	1.07222i	−0.993540	−	0.113480i	$-0.963800\pi$
$643$	−32.4023	−	27.1888i	−1.27782	−	1.07222i	−0.284283	−	0.958741i	$-0.591755\pi$
$644$	30.3929	−	172.367i	1.19765	−	6.79220i
$645$	2.40356			0.0946401
$646$	−7.75361	+	1.02182i	−0.305062	+	0.0402030i
$647$	1.66919			0.0656226			0.0328113	−	0.999462i	$-0.489554\pi$
$647$	1.66919			0.0656226			0.0328113	+	0.999462i	$0.489554\pi$
$648$	2.59372	−	14.7097i	0.101891	−	0.577853i
$649$	19.4967	+	16.3597i	0.765311	+	0.642172i
$650$	0.897281	+	0.326584i	0.0351943	+	0.0128097i
$651$	8.18922	−	2.98063i	0.320961	−	0.116820i
$652$	30.1556	−	25.3035i	1.18098	−	0.990963i
$653$	−2.89691	−	5.01760i	−0.113365	−	0.196354i	0.803760	−	0.594954i	$-0.202830\pi$
$653$	−2.89691	−	5.01760i	−0.113365	−	0.196354i	−0.917125	+	0.398600i	$0.869496\pi$
$654$	−10.9703	+	19.0010i	−0.428971	+	0.743000i
$655$	−1.80469	−	10.2349i	−0.0705149	−	0.399910i
$656$	−12.8355	−	72.7935i	−0.501141	−	2.84211i
$657$	−8.42567	+	14.5937i	−0.328717	+	0.569354i
$658$	44.1920	+	76.5428i	1.72278	+	2.98395i
$659$	17.0351	−	14.2942i	0.663595	−	0.556822i	−0.247567	−	0.968871i	$-0.579631\pi$
$659$	17.0351	−	14.2942i	0.663595	−	0.556822i	0.911162	+	0.412049i	$0.135187\pi$
$660$	13.9044	−	5.06078i	0.541227	−	0.196991i
$661$	8.72292	+	3.17488i	0.339282	+	0.123489i	0.506042	−	0.862509i	$-0.331108\pi$
$661$	8.72292	+	3.17488i	0.339282	+	0.123489i	−0.166759	+	0.985998i	$0.553330\pi$
$662$	33.1474	+	27.8140i	1.28831	+	1.08102i
$663$	−0.0401833	+	0.227891i	−0.00156059	+	0.00885056i
$664$	5.49893			0.213400
$665$	−16.3060	−	3.61270i	−0.632321	−	0.140095i
$666$	−0.915804			−0.0354867
$667$	−2.50495	+	14.2063i	−0.0969922	+	0.550070i
$668$	−50.9853	−	42.7817i	−1.97268	−	1.65527i
$669$	−7.64700	−	2.78328i	−0.295650	−	0.107608i
$670$	−23.5502	+	8.57159i	−0.909825	+	0.331149i
$671$	−6.05420	+	5.08008i	−0.233720	+	0.196114i
$672$	−19.9329	−	34.5249i	−0.768930	−	1.33183i
$673$	−15.4285	+	26.7229i	−0.594723	+	1.03009i	0.398862	+	0.917011i	$0.369405\pi$
$673$	−15.4285	+	26.7229i	−0.594723	+	1.03009i	−0.993586	+	0.113080i	$0.963928\pi$
$674$	−2.71055	−	15.3723i	−0.104406	−	0.592118i
$675$	0.828557	+	4.69898i	0.0318912	+	0.180864i
$676$	31.3715	−	54.3371i	1.20660	−	2.08989i
$677$	20.3644	+	35.2722i	0.782669	+	1.35562i	0.930382	+	0.366592i	$0.119475\pi$
$677$	20.3644	+	35.2722i	0.782669	+	1.35562i	−0.147713	+	0.989030i	$0.547191\pi$
$678$	−24.5269	+	20.5805i	−0.941949	+	0.790389i
$679$	−27.1735	+	9.89035i	−1.04282	+	0.379557i
$680$	−4.84908	−	1.76492i	−0.185954	−	0.0676816i
$681$	3.94122	+	3.30707i	0.151028	+	0.126727i
$682$	3.64327	−	20.6620i	0.139508	−	0.791188i
$683$	16.1788			0.619066			0.309533	−	0.950889i	$-0.399827\pi$
$683$	16.1788			0.619066			0.309533	+	0.950889i	$0.399827\pi$
$684$	−13.6665	−	43.3245i	−0.522550	−	1.65655i
$685$	−3.56528			−0.136222
$686$	−1.18808	+	6.73793i	−0.0453611	+	0.257255i
$687$	−19.1220	−	16.0452i	−0.729549	−	0.612164i
$688$	−24.3773	−	8.87262i	−0.929376	−	0.338265i
$689$	3.80471	−	1.38480i	0.144948	−	0.0527567i
$690$	−17.4778	+	14.6656i	−0.665369	+	0.558311i
$691$	−7.33032	−	12.6965i	−0.278859	−	0.482997i	0.692243	−	0.721665i	$-0.256623\pi$
$691$	−7.33032	−	12.6965i	−0.278859	−	0.482997i	−0.971101	+	0.238667i	$0.923289\pi$
$692$	−20.4168	+	35.3629i	−0.776129	+	1.34429i
$693$	−4.64631	−	26.3505i	−0.176499	−	1.00097i
$694$	9.84122	+	55.8123i	0.373568	+	2.11861i
$695$	4.33572	−	7.50968i	0.164463	−	0.284859i
$696$	5.39312	+	9.34116i	0.204426	+	0.354076i
$697$	3.86485	−	3.24300i	0.146392	−	0.122837i
$698$	5.96781	−	2.17210i	0.225885	−	0.0822153i
$699$	2.22786	+	0.810873i	0.0842652	+	0.0306700i
$700$	−14.3122	−	12.0094i	−0.540950	−	0.453911i
$701$	−2.53070	+	14.3523i	−0.0955833	+	0.542080i	0.898984	+	0.437982i	$0.144307\pi$
$701$	−2.53070	+	14.3523i	−0.0955833	+	0.542080i	−0.994567	+	0.104098i	$0.966804\pi$
$702$	−4.55612			−0.171960
$703$	−0.631722	+	0.328959i	−0.0238258	+	0.0124069i
$704$	−30.4728			−1.14848
$705$	1.41875	−	8.04613i	0.0534332	−	0.303035i
$706$	15.3700	+	12.8970i	0.578459	+	0.485385i
$707$	14.6131	+	5.31874i	0.549583	+	0.200032i
$708$	−33.1511	+	12.0660i	−1.24590	+	0.453469i
$709$	−9.07912	+	7.61829i	−0.340974	+	0.286111i	−0.797153	−	0.603777i	$-0.793662\pi$
$709$	−9.07912	+	7.61829i	−0.340974	+	0.286111i	0.456180	+	0.889888i	$0.349217\pi$
$710$	−6.71405	−	11.6291i	−0.251974	−	0.436431i
$711$	−9.96088	+	17.2527i	−0.373562	+	0.647028i
$712$	16.5544	+	93.8849i	0.620404	+	3.51848i
$713$	3.98372	+	22.5928i	0.149191	+	0.846107i
$714$	3.19245	−	5.52949i	0.119474	−	0.206936i
$715$	0.594868	+	1.03034i	0.0222468	+	0.0385326i
$716$	−21.3083	+	17.8798i	−0.796330	+	0.668201i
$717$	−22.2840	+	8.11070i	−0.832210	+	0.302900i
$718$	−16.7825	−	6.10832i	−0.626316	−	0.227961i
$719$	13.0707	+	10.9676i	0.487455	+	0.409023i	0.853113	−	0.521726i	$-0.174712\pi$
$719$	13.0707	+	10.9676i	0.487455	+	0.409023i	−0.365658	+	0.930749i	$0.619156\pi$
$720$	3.72055	−	21.1003i	0.138657	−	0.786361i
$721$	−52.7915			−1.96606
$722$	−35.2391	−	35.2205i	−1.31146	−	1.31077i
$723$	0.921235			0.0342611
$724$	12.5667	−	71.2694i	0.467039	−	2.64871i
$725$	1.17960	+	0.989799i	0.0438091	+	0.0367602i
$726$	−0.744226	−	0.270876i	−0.0276208	−	0.0100532i
$727$	12.4414	−	4.52829i	0.461425	−	0.167945i	−0.100839	−	0.994903i	$-0.532153\pi$
$727$	12.4414	−	4.52829i	0.461425	−	0.167945i	0.562264	+	0.826958i	$0.309930\pi$
$728$	8.06087	−	6.76387i	0.298756	−	0.250686i
$729$	−4.53091	−	7.84777i	−0.167812	−	0.290658i
$730$	−10.3370	+	17.9043i	−0.382591	+	0.662666i
$731$	−0.307474	−	1.74377i	−0.0113723	−	0.0644957i
$732$	−1.90230	−	10.7885i	−0.0703111	−	0.398754i
$733$	26.7597	−	46.3491i	0.988391	−	1.71194i	0.362618	−	0.931938i	$-0.381883\pi$
$733$	26.7597	−	46.3491i	0.988391	−	1.71194i	0.625773	−	0.780005i	$-0.284784\pi$
$734$	18.0423	+	31.2503i	0.665955	+	1.15347i
$735$	5.46488	−	4.58558i	0.201575	−	0.169142i
$736$	98.6163	−	35.8934i	3.63505	−	1.32305i
$737$	−29.3429	−	10.6800i	−1.08086	−	0.393401i
$738$	31.6586	+	26.5647i	1.16537	+	0.977861i
$739$	−7.32823	+	41.5604i	−0.269573	+	1.52883i	0.486116	+	0.873894i	$0.338413\pi$
$739$	−7.32823	+	41.5604i	−0.269573	+	1.52883i	−0.755689	+	0.654931i	$0.772698\pi$
$740$	−0.796755			−0.0292893
$741$	−1.30755	+	0.680886i	−0.0480340	+	0.0250130i
$742$	−111.716			−4.10121
$743$	−3.14002	+	17.8079i	−0.115196	+	0.653310i	0.871457	+	0.490472i	$0.163176\pi$
$743$	−3.14002	+	17.8079i	−0.115196	+	0.653310i	−0.986653	+	0.162838i	$0.947935\pi$
$744$	13.1405	+	11.0262i	0.481756	+	0.404241i
$745$	−15.9403	−	5.80179i	−0.584007	−	0.212561i
$746$	−74.6876	+	27.1841i	−2.73451	+	0.995280i
$747$	−1.19380	+	1.00172i	−0.0436790	+	0.0366510i
$748$	−5.45028	−	9.44016i	−0.199282	−	0.345167i
$749$	12.4998	−	21.6502i	0.456731	−	0.791081i
$750$	0.422915	+	2.39847i	0.0154427	+	0.0875798i
$751$	0.514525	+	2.91802i	0.0187753	+	0.106480i	0.992755	−	0.120154i	$-0.0383389\pi$
$751$	0.514525	+	2.91802i	0.0187753	+	0.106480i	−0.973980	+	0.226634i	$0.927228\pi$
$752$	−44.0911	+	76.3680i	−1.60784	+	2.78485i
$753$	−6.75062	−	11.6924i	−0.246006	−	0.426096i
$754$	−1.12636	+	0.945126i	−0.0410195	+	0.0344194i
$755$	−10.4138	+	3.79030i	−0.378996	+	0.137943i
$756$	83.7703	+	30.4899i	3.04670	+	1.10891i
$757$	3.65655	+	3.06821i	0.132900	+	0.111516i	0.706814	−	0.707399i	$-0.250132\pi$
$757$	3.65655	+	3.06821i	0.132900	+	0.111516i	−0.573915	+	0.818915i	$0.694576\pi$
$758$	−1.56575	+	8.87983i	−0.0568707	+	0.322530i
$759$	−28.4277			−1.03186
$760$	−9.88963	−	31.3515i	−0.358734	−	1.13724i
$761$	31.1552			1.12938			0.564688	−	0.825305i	$-0.308997\pi$
$761$	31.1552			1.12938			0.564688	+	0.825305i	$0.308997\pi$
$762$	3.70935	−	21.0367i	0.134375	−	0.762081i
$763$	26.4421	+	22.1875i	0.957267	+	0.803242i
$764$	90.3602	+	32.8884i	3.26912	+	1.18986i
$765$	1.37423	−	0.500180i	0.0496855	−	0.0180840i
$766$	36.8245	−	30.8994i	1.33052	−	1.11644i
$767$	−1.41830	−	2.45656i	−0.0512117	−	0.0887013i
$768$	−6.16355	+	10.6756i	−0.222408	+	0.385222i
$769$	−8.40236	−	47.6522i	−0.302997	−	1.71838i	−0.632786	−	0.774327i	$-0.718089\pi$
$769$	−8.40236	−	47.6522i	−0.302997	−	1.71838i	0.329789	−	0.944055i	$-0.393022\pi$
$770$	−5.70032	−	32.3281i	−0.205425	−	1.16503i
$771$	−7.97250	+	13.8088i	−0.287123	+	0.497311i
$772$	10.0703	+	17.4423i	0.362438	+	0.627761i
$773$	−35.9089	+	30.1312i	−1.29155	+	1.08374i	−0.300015	+	0.953934i	$0.596992\pi$
$773$	−35.9089	+	30.1312i	−1.29155	+	1.08374i	−0.991539	+	0.129808i	$0.958564\pi$
$774$	13.6296	−	4.96076i	0.489905	−	0.178311i
$775$	2.30120	+	0.837568i	0.0826615	+	0.0300863i
$776$	−43.6030	−	36.5873i	−1.56526	−	1.31341i
$777$	0.100974	−	0.572651i	0.00362241	−	0.0205437i
$778$	10.9227			0.391599
$779$	31.3802	+	6.95249i	1.12431	+	0.249099i
$780$	−1.64914			−0.0590486
$781$	2.90531	−	16.4768i	0.103960	−	0.589588i
$782$	12.8757	+	10.8040i	0.460433	+	0.386349i
$783$	−6.90427	−	2.51295i	−0.246738	−	0.0898054i
$784$	−72.3532	+	26.3344i	−2.58404	+	0.940515i
$785$	0.714303	−	0.599371i	0.0254946	−	0.0213925i
$786$	12.6556	+	21.9202i	0.451412	+	0.781868i
$787$	25.3481	−	43.9042i	0.903563	−	1.56502i	0.0807272	−	0.996736i	$-0.474276\pi$
$787$	25.3481	−	43.9042i	0.903563	−	1.56502i	0.822835	−	0.568280i	$-0.192391\pi$
$788$	0.141079	+	0.800096i	0.00502571	+	0.0285022i
$789$	−0.202258	−	1.14706i	−0.00720057	−	0.0408365i
$790$	−12.2205	+	21.1665i	−0.434786	+	0.753071i
$791$	25.1856	+	43.6228i	0.895497	+	1.55105i
$792$	40.3454	−	33.8538i	1.43361	−	1.20294i
$793$	0.827713	−	0.301263i	0.0293929	−	0.0106982i
$794$	49.0400	+	17.8491i	1.74036	+	0.633441i
$795$	7.91097	+	6.63809i	0.280573	+	0.235429i
$796$	−4.39147	+	24.9053i	−0.155652	+	0.882744i
$797$	−11.3007			−0.400291			−0.200146	−	0.979766i	$-0.564142\pi$
$797$	−11.3007			−0.400291			−0.200146	+	0.979766i	$0.564142\pi$
$798$	40.3272	−	5.31459i	1.42757	−	0.188134i
$799$	−6.01892			−0.212934
$800$	1.94528	−	11.0323i	0.0687762	−	0.390049i
$801$	−20.6966	−	17.3665i	−0.731279	−	0.613616i
$802$	23.3571	+	8.50129i	0.824768	+	0.300191i
$803$	−24.2058	+	8.81020i	−0.854205	+	0.310905i
$804$	33.1572	−	27.8222i	1.16936	−	0.981213i
$805$	17.9472	+	31.0855i	0.632557	+	1.09562i
$806$	−1.16918	+	2.02508i	−0.0411826	+	0.0713303i
$807$	2.20543	+	12.5076i	0.0776348	+	0.440289i
$808$	5.31533	+	30.1447i	0.186993	+	1.06049i
$809$	2.98372	−	5.16796i	0.104902	−	0.181696i	−0.808796	−	0.588089i	$-0.799880\pi$
$809$	2.98372	−	5.16796i	0.104902	−	0.181696i	0.913698	+	0.406393i	$0.133214\pi$
$810$	2.59666	+	4.49755i	0.0912375	+	0.158028i
$811$	−18.0275	+	15.1268i	−0.633030	+	0.531175i	−0.901869	−	0.432010i	$-0.857804\pi$
$811$	−18.0275	+	15.1268i	−0.633030	+	0.531175i	0.268839	+	0.963185i	$0.413360\pi$
$812$	27.0344	−	9.83973i	0.948723	−	0.345307i
$813$	11.7294	+	4.26915i	0.411368	+	0.149726i
$814$	−1.07240	−	0.899848i	−0.0375875	−	0.0315397i
$815$	−1.40188	+	7.95043i	−0.0491055	+	0.278491i
$816$	6.37032			0.223006
$817$	7.61977	−	8.31772i	0.266582	−	0.291000i
$818$	−61.0282			−2.13380
$819$	−0.517844	+	2.93684i	−0.0180949	+	0.102621i
$820$	27.5432	+	23.1115i	0.961849	+	0.807088i
$821$	−28.1921	−	10.2611i	−0.983911	−	0.358114i	−0.200551	−	0.979683i	$-0.564273\pi$
$821$	−28.1921	−	10.2611i	−0.983911	−	0.358114i	−0.783359	+	0.621569i	$0.786496\pi$
$822$	8.15947	−	2.96980i	0.284594	−	0.103584i
$823$	6.44591	−	5.40876i	0.224690	−	0.188538i	−0.523492	−	0.852030i	$-0.675371\pi$
$823$	6.44591	−	5.40876i	0.224690	−	0.188538i	0.748183	+	0.663493i	$0.230927\pi$
$824$	−51.9561	−	89.9905i	−1.80997	−	3.13497i
$825$	−1.51726	+	2.62798i	−0.0528244	+	0.0914945i
$826$	13.5908	+	77.0774i	0.472885	+	2.68187i
$827$	4.81009	+	27.2794i	0.167263	+	0.948597i	0.946700	+	0.322116i	$0.104394\pi$
$827$	4.81009	+	27.2794i	0.167263	+	0.948597i	−0.779437	+	0.626481i	$0.784495\pi$
$828$	−48.8175	+	84.5544i	−1.69653	+	2.93847i
$829$	−24.1279	−	41.7908i	−0.837998	−	1.45145i	−0.891566	−	0.452890i	$-0.850393\pi$
$829$	−24.1279	−	41.7908i	−0.837998	−	1.45145i	0.0535685	−	0.998564i	$-0.482940\pi$
$830$	−1.46462	+	1.22896i	−0.0508376	+	0.0426578i
$831$	−10.5030	+	3.82279i	−0.364346	+	0.132611i
$832$	3.19145	+	1.16159i	0.110644	+	0.0402710i
$833$	−4.02591	−	3.37814i	−0.139489	−	0.117046i
$834$	−3.66728	+	20.7982i	−0.126988	+	0.720182i
$835$	13.6495			0.472359
$836$	26.5664	−	64.1610i	0.918819	−	2.21905i
$837$	−11.6848			−0.403885
$838$	1.39016	−	7.88397i	0.0480222	−	0.272347i
$839$	−14.9006	−	12.5031i	−0.514425	−	0.431653i	0.348258	−	0.937399i	$-0.386773\pi$
$839$	−14.9006	−	12.5031i	−0.514425	−	0.431653i	−0.862683	+	0.505745i	$0.831218\pi$
$840$	25.2205	+	9.17952i	0.870190	+	0.316723i
$841$	25.0229	−	9.10760i	0.862860	−	0.314055i
$842$	56.3264	−	47.2635i	1.94114	−	1.62881i
$843$	−6.65054	−	11.5191i	−0.229057	−	0.396738i
$844$	11.9869	−	20.7619i	0.412606	−	0.714654i
$845$	2.23440	+	12.6719i	0.0768657	+	0.435927i
$846$	−8.56145	−	48.5544i	−0.294349	−	1.66934i
$847$	−0.622993	+	1.07906i	−0.0214063	+	0.0370768i
$848$	−55.7302	−	96.5275i	−1.91378	−	3.31477i
$849$	−3.77805	+	3.17016i	−0.129662	+	0.108800i
$850$	1.68598	−	0.613646i	0.0578285	−	0.0210479i
$851$	1.43842	+	0.523542i	0.0493084	+	0.0179468i
$852$	17.7657	+	14.9072i	0.608643	+	0.510712i
$853$	6.27404	−	35.5818i	0.214819	−	1.21830i	−0.666401	−	0.745593i	$-0.732166\pi$
$853$	6.27404	−	35.5818i	0.214819	−	1.21830i	0.881220	−	0.472706i	$-0.156723\pi$
$854$	−24.3037			−0.831655
$855$	7.85820	+	5.00477i	0.268745	+	0.171160i
$856$	49.2078			1.68189
$857$	8.13712	−	46.1479i	0.277959	−	1.57638i	−0.451446	−	0.892299i	$-0.649092\pi$
$857$	8.13712	−	46.1479i	0.277959	−	1.57638i	0.729404	−	0.684083i	$-0.239797\pi$
$858$	−2.21967	−	1.86252i	−0.0757782	−	0.0635854i
$859$	−13.1861	−	4.79933i	−0.449903	−	0.163751i	0.107124	−	0.994246i	$-0.465836\pi$
$859$	−13.1861	−	4.79933i	−0.449903	−	0.163751i	−0.557027	+	0.830494i	$0.688058\pi$
$860$	11.8578	−	4.31589i	0.404348	−	0.147171i
$861$	−20.1015	+	16.8671i	−0.685056	+	0.574830i
$862$	−39.6156	−	68.6163i	−1.34931	−	2.33708i
$863$	20.3025	−	35.1649i	0.691105	−	1.19703i	−0.280371	−	0.959892i	$-0.590458\pi$
$863$	20.3025	−	35.1649i	0.691105	−	1.19703i	0.971476	−	0.237137i	$-0.0762090\pi$
$864$	9.28187	+	52.6401i	0.315776	+	1.79085i
$865$	−1.45416	−	8.24695i	−0.0494429	−	0.280405i
$866$	−19.7160	+	34.1491i	−0.669976	+	1.16043i
$867$	−7.67719	−	13.2973i	−0.260731	−	0.451600i
$868$	35.0489	−	29.4095i	1.18964	−	0.998225i
$869$	−28.6162	+	10.4155i	−0.970740	+	0.353320i
$870$	−3.52410	−	1.28267i	−0.119478	−	0.0434865i
$871$	2.66601	+	2.23705i	0.0903344	+	0.0757996i
$872$	−11.7981	+	66.9106i	−0.399536	+	2.26588i
$873$	16.1311			0.545954
$874$	−4.65655	+	106.976i	−0.157510	+	3.61853i
$875$	3.83157			0.129531
$876$	6.20026	−	35.1634i	0.209487	−	1.18806i
$877$	20.5365	+	17.2321i	0.693467	+	0.581888i	0.919907	−	0.392137i	$-0.128264\pi$
$877$	20.5365	+	17.2321i	0.693467	+	0.581888i	−0.226439	+	0.974025i	$0.572709\pi$
$878$	95.2040	+	34.6514i	3.21298	+	1.16943i
$879$	−0.772323	+	0.281103i	−0.0260498	+	0.00948135i
$880$	25.0894	−	21.0525i	0.845763	−	0.709680i
$881$	−25.1410	−	43.5454i	−0.847021	−	1.46708i	−0.883855	−	0.467761i	$-0.845061\pi$
$881$	−25.1410	−	43.5454i	−0.847021	−	1.46708i	0.0368343	−	0.999321i	$-0.488273\pi$
$882$	21.5248	−	37.2820i	0.724777	−	1.25535i
$883$	1.92450	+	10.9144i	0.0647645	+	0.367298i	0.999915	+	0.0130467i	$0.00415302\pi$
$883$	1.92450	+	10.9144i	0.0647645	+	0.367298i	−0.935150	+	0.354251i	$0.884736\pi$
$884$	0.210965	+	1.19644i	0.00709551	+	0.0402406i
$885$	3.61749	−	6.26568i	0.121601	−	0.210618i
$886$	−5.75313	−	9.96471i	−0.193280	−	0.334771i
$887$	7.59431	−	6.37238i	0.254992	−	0.213964i	−0.506326	−	0.862342i	$-0.668997\pi$
$887$	7.59431	−	6.37238i	0.254992	−	0.213964i	0.761318	+	0.648378i	$0.224552\pi$
$888$	1.07554	−	0.391464i	0.0360927	−	0.0131367i
$889$	−31.5797	−	11.4941i	−1.05915	−	0.385498i
$890$	−25.3916	−	21.3061i	−0.851129	−	0.714182i
$891$	−1.12363	+	6.37244i	−0.0376431	+	0.213485i
$892$	−42.7237			−1.43050
$893$	−23.3466	−	30.4175i	−0.781263	−	1.01788i
$894$	41.3136			1.38173
$895$	0.990584	−	5.61788i	0.0331116	−	0.187785i
$896$	−6.02329	−	5.05414i	−0.201224	−	0.168847i
$897$	2.97727	+	1.08364i	0.0994080	+	0.0361816i
$898$	61.0929	−	22.2360i	2.03870	−	0.742025i
$899$	−2.88870	+	2.42390i	−0.0963434	+	0.0808417i
$900$	5.21105	+	9.02581i	0.173702	+	0.300860i
$901$	3.80390	−	6.58854i	0.126726	−	0.219496i
$902$	10.9700	+	62.2141i	0.365262	+	2.07150i
$903$	1.59920	+	9.06951i	0.0532180	+	0.301814i
$904$	−49.5741	+	85.8649i	−1.64881	+	2.85582i
$905$	7.42074	+	12.8531i	0.246674	+	0.427251i
$906$	20.6757	−	17.3489i	0.686903	−	0.576380i
$907$	−17.1313	+	6.23529i	−0.568836	+	0.207039i	−0.610396	−	0.792097i	$-0.708990\pi$
$907$	−17.1313	+	6.23529i	−0.568836	+	0.207039i	0.0415596	+	0.999136i	$0.486767\pi$
$908$	25.3820	+	9.23830i	0.842332	+	0.306584i
$909$	−6.64530	−	5.57607i	−0.220411	−	0.184947i
$910$	−0.635317	+	3.60306i	−0.0210605	+	0.119440i
$911$	21.7792			0.721576			0.360788	−	0.932648i	$-0.382508\pi$
$911$	21.7792			0.721576			0.360788	+	0.932648i	$0.382508\pi$
$912$	24.7096	+	32.1934i	0.818217	+	1.06603i
$913$	−2.38220			−0.0788394
$914$	−9.61916	+	54.5530i	−0.318174	+	1.80445i
$915$	1.72103	+	1.44411i	0.0568954	+	0.0477409i
$916$	−123.148	−	44.8223i	−4.06893	−	1.48097i
$917$	37.4192	−	13.6195i	1.23569	−	0.449755i
$918$	−6.55801	+	5.50283i	−0.216447	+	0.181620i
$919$	13.1150	+	22.7158i	0.432623	+	0.749325i	0.997098	−	0.0761249i	$-0.0242548\pi$
$919$	13.1150	+	22.7158i	0.432623	+	0.749325i	−0.564475	+	0.825450i	$0.690921\pi$
$920$	−35.3264	+	61.1872i	−1.16468	+	2.01728i
$921$	4.00769	+	22.7287i	0.132058	+	0.748937i
$922$	−5.08144	−	28.8183i	−0.167348	−	0.949079i
$923$	−0.932359	+	1.61489i	−0.0306890	+	0.0531549i
$924$	28.3474	+	49.0991i	0.932561	+	1.61524i
$925$	0.125171	−	0.105031i	0.00411560	−	0.00345340i
$926$	9.96592	−	3.62730i	0.327500	−	0.119200i
$927$	27.6728	+	10.0721i	0.908894	+	0.330810i
$928$	13.2144	+	11.0882i	0.433783	+	0.363987i
$929$	−1.81278	+	10.2808i	−0.0594754	+	0.337302i	−0.999997	−	0.00243204i	$-0.999226\pi$
$929$	−1.81278	+	10.2808i	−0.0594754	+	0.337302i	0.940522	+	0.339734i	$0.110337\pi$
$930$	−5.96419			−0.195574
$931$	1.45599	−	33.4489i	0.0477182	−	1.09624i
$932$	12.4470			0.407715
$933$	−2.98369	+	16.9214i	−0.0976818	+	0.553981i
$934$	42.4282	+	35.6014i	1.38829	+	1.16491i
$935$	2.10068	+	0.764585i	0.0686996	+	0.0250046i
$936$	−5.51591	+	2.00763i	−0.180293	+	0.0656213i
$937$	16.2552	−	13.6398i	0.531035	−	0.445591i	−0.337424	−	0.941353i	$-0.609555\pi$
$937$	16.2552	−	13.6398i	0.531035	−	0.445591i	0.868459	+	0.495762i	$0.165111\pi$
$938$	−48.0128	−	83.1606i	−1.56767	−	2.71529i
$939$	15.4230	−	26.7134i	0.503310	−	0.871759i
$940$	−7.44852	−	42.2426i	−0.242944	−	1.37780i
$941$	8.76643	+	49.7169i	0.285778	+	1.62072i	0.702495	+	0.711689i	$0.252069\pi$
$941$	8.76643	+	49.7169i	0.285778	+	1.62072i	−0.416717	+	0.909036i	$0.636820\pi$
$942$	−1.13549	+	1.96672i	−0.0369961	+	0.0640791i
$943$	−34.5386	−	59.8227i	−1.12473	−	1.94809i
$944$	−59.8186	+	50.1938i	−1.94693	+	1.63367i
$945$	−17.1797	+	6.25290i	−0.558856	+	0.203407i
$946$	20.8344	+	7.58312i	0.677386	+	0.246548i
$947$	9.17959	+	7.70259i	0.298297	+	0.250301i	0.779635	−	0.626234i	$-0.215405\pi$
$947$	9.17959	+	7.70259i	0.298297	+	0.250301i	−0.481338	+	0.876535i	$0.659849\pi$
$948$	7.32998	−	41.5704i	0.238067	−	1.35014i
$949$	2.87094			0.0931948
$950$	9.64083	+	6.14010i	0.312790	+	0.199211i
$951$	−6.13896			−0.199069
$952$	3.43338	−	19.4716i	0.111276	−	0.631079i
$953$	26.1975	+	21.9823i	0.848620	+	0.712077i	0.959485	−	0.281759i	$-0.0909177\pi$
$953$	26.1975	+	21.9823i	0.848620	+	0.712077i	−0.110865	+	0.993835i	$0.535362\pi$
$954$	58.5602	+	21.3142i	1.89596	+	0.690072i
$955$	−18.5312	+	6.74479i	−0.599654	+	0.218256i
$956$	−95.3728	+	80.0273i	−3.08458	+	2.58827i
$957$	−2.33636	−	4.04670i	−0.0755239	−	0.130811i
$958$	−44.8502	+	77.6828i	−1.44904	+	2.50982i
$959$	−2.37214	−	13.4531i	−0.0766005	−	0.434423i
$960$	1.50423	+	8.53088i	0.0485487	+	0.275333i
$961$	12.5015	−	21.6532i	0.403274	−	0.698490i
$962$	0.0780122	+	0.135121i	0.00251521	+	0.00435648i
$963$	−10.6829	+	8.96401i	−0.344251	+	0.288861i
$964$	4.54486	−	1.65419i	0.146380	−	0.0532780i
$965$	−3.88135	−	1.41270i	−0.124945	−	0.0454763i
$966$	−66.9675	−	56.1924i	−2.15464	−	1.80796i
$967$	−2.11985	+	12.0223i	−0.0681698	+	0.386610i	0.931565	+	0.363575i	$0.118444\pi$
$967$	−2.11985	+	12.0223i	−0.0681698	+	0.386610i	−0.999735	+	0.0230349i	$0.992667\pi$
$968$	−2.45254			−0.0788276
$969$	−1.05970	+	2.55930i	−0.0340425	+	0.0822165i
$970$	19.7904			0.635431
$971$	−2.56830	+	14.5656i	−0.0824207	+	0.467431i	0.915463	+	0.402403i	$0.131825\pi$
$971$	−2.56830	+	14.5656i	−0.0824207	+	0.467431i	−0.997883	+	0.0650281i	$0.979286\pi$
$972$	−60.3399	−	50.6312i	−1.93540	−	1.62400i
$973$	31.2215	+	11.3637i	1.00092	+	0.364304i
$974$	−4.37822	+	1.59354i	−0.140287	+	0.0510604i
$975$	0.259081	−	0.217395i	0.00829724	−	0.00696221i
$976$	−12.1241	−	20.9995i	−0.388083	−	0.672179i
$977$	−6.74782	+	11.6876i	−0.215882	+	0.373919i	−0.953545	−	0.301250i	$-0.902596\pi$
$977$	−6.74782	+	11.6876i	−0.215882	+	0.373919i	0.737663	+	0.675169i	$0.235929\pi$
$978$	−3.41423	−	19.3630i	−0.109175	−	0.619162i
$979$	−7.17158	−	40.6720i	−0.229205	−	1.29988i
$980$	18.7267	−	32.4356i	0.598202	−	1.03612i
$981$	−9.62753	−	16.6754i	−0.307383	−	0.532403i
$982$	−41.5195	+	34.8390i	−1.32494	+	1.11176i
$983$	−45.1035	+	16.4163i	−1.43858	+	0.523600i	−0.939377	−	0.342886i	$-0.888596\pi$
$983$	−45.1035	+	16.4163i	−1.43858	+	0.523600i	−0.499202	+	0.866486i	$0.666373\pi$
$984$	−48.5358	−	17.6656i	−1.54726	−	0.563158i
$985$	−0.127635	−	0.107098i	−0.00406679	−	0.00341244i
$986$	−0.479751	+	2.72080i	−0.0152784	+	0.0866480i
$987$	31.3050			0.996448
$988$	−5.22809	+	5.70697i	−0.166328	+	0.181563i
$989$	−24.2434			−0.770896
$990$	−3.17982	+	18.0337i	−0.101061	+	0.573148i
$991$	41.3075	+	34.6611i	1.31217	+	1.10105i	0.987902	+	0.155081i	$0.0495640\pi$
$991$	41.3075	+	34.6611i	1.31217	+	1.10105i	0.324273	+	0.945964i	$0.394880\pi$
$992$	25.7791	+	9.38282i	0.818486	+	0.297905i
$993$	14.4019	−	5.24187i	0.457031	−	0.166346i
$994$	39.4136	−	33.0719i	1.25012	−	1.04898i
$995$	−2.59319	−	4.49154i	−0.0822097	−	0.142391i
$996$	1.65103	−	2.85966i	0.0523148	−	0.0906119i
$997$	5.83386	+	33.0855i	0.184760	+	1.04783i	0.926263	+	0.376878i	$0.123002\pi$
$997$	5.83386	+	33.0855i	0.184760	+	1.04783i	−0.741503	+	0.670950i	$0.765887\pi$
$998$	−19.4150	−	110.108i	−0.614572	−	3.48541i
$999$	−0.389827	+	0.675201i	−0.0123336	+	0.0213624i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.2.k.b.36.3	✓	18
3.2	odd	2		855.2.bs.b.226.1		18
5.2	odd	4		475.2.u.c.74.6		36
5.3	odd	4		475.2.u.c.74.1		36
5.4	even	2		475.2.l.b.226.1		18
19.3	odd	18		1805.2.a.u.1.1		9
19.9	even	9	inner	95.2.k.b.66.3	yes	18
19.16	even	9		1805.2.a.t.1.9		9
57.47	odd	18		855.2.bs.b.541.1		18
95.9	even	18		475.2.l.b.351.1		18
95.28	odd	36		475.2.u.c.199.6		36
95.47	odd	36		475.2.u.c.199.1		36
95.54	even	18		9025.2.a.ce.1.1		9
95.79	odd	18		9025.2.a.cd.1.9		9

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.k.b.36.3	✓	18	1.1	even	1	trivial
95.2.k.b.66.3	yes	18	19.9	even	9	inner
475.2.l.b.226.1		18	5.4	even	2
475.2.l.b.351.1		18	95.9	even	18
475.2.u.c.74.1		36	5.3	odd	4
475.2.u.c.74.6		36	5.2	odd	4
475.2.u.c.199.1		36	95.47	odd	36
475.2.u.c.199.6		36	95.28	odd	36
855.2.bs.b.226.1		18	3.2	odd	2
855.2.bs.b.541.1		18	57.47	odd	18
1805.2.a.t.1.9		9	19.16	even	9
1805.2.a.u.1.1		9	19.3	odd	18
9025.2.a.cd.1.9		9	95.79	odd	18
9025.2.a.ce.1.1		9	95.54	even	18

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.k (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.455347 - 2.58240i) q^{2} +(-0.711484 - 0.597006i) q^{3} +(-4.58206 - 1.66773i) q^{4} +(0.939693 - 0.342020i) q^{5} +(-1.86568 + 1.56549i) q^{6} +(1.91579 + 3.31824i) q^{7} +(-3.77094 + 6.53146i) q^{8} +(-0.371151 - 2.10490i) q^{9} +O(q^{10})\)	\(q+(0.455347 - 2.58240i) q^{2} +(-0.711484 - 0.597006i) q^{3} +(-4.58206 - 1.66773i) q^{4} +(0.939693 - 0.342020i) q^{5} +(-1.86568 + 1.56549i) q^{6} +(1.91579 + 3.31824i) q^{7} +(-3.77094 + 6.53146i) q^{8} +(-0.371151 - 2.10490i) q^{9} +(-0.455347 - 2.58240i) q^{10} +(1.63362 - 2.82951i) q^{11} +(2.26441 + 3.92208i) q^{12} +(-0.278949 + 0.234066i) q^{13} +(9.44137 - 3.43638i) q^{14} +(-0.872764 - 0.317660i) q^{15} +(7.67910 + 6.44353i) q^{16} +(-0.118813 + 0.673822i) q^{17} -5.60470 q^{18} +(-3.86613 + 2.01323i) q^{19} -4.87613 q^{20} +(0.617958 - 3.50461i) q^{21} +(-6.56305 - 5.50706i) q^{22} +(8.80310 + 3.20407i) q^{23} +(6.58228 - 2.39576i) q^{24} +(0.766044 - 0.642788i) q^{25} +(0.477433 + 0.826939i) q^{26} +(-2.38574 + 4.13222i) q^{27} +(-3.24431 - 18.3994i) q^{28} +(0.267393 + 1.51646i) q^{29} +(-1.21774 + 2.10918i) q^{30} +(1.22444 + 2.12080i) q^{31} +(8.58157 - 7.20079i) q^{32} +(-2.85152 + 1.03787i) q^{33} +(1.68598 + 0.613646i) q^{34} +(2.93516 + 2.46289i) q^{35} +(-1.80978 + 10.2638i) q^{36} +0.163399 q^{37} +(3.43852 + 10.9006i) q^{38} +0.338206 q^{39} +(-1.30963 + 7.42730i) q^{40} +(-5.64858 - 4.73972i) q^{41} +(-8.76892 - 3.19163i) q^{42} +(-2.43181 + 0.885107i) q^{43} +(-12.2042 + 10.2405i) q^{44} +(-1.06869 - 1.85102i) q^{45} +(12.2826 - 21.2742i) q^{46} +(1.52755 + 8.66316i) q^{47} +(-1.61673 - 9.16893i) q^{48} +(-3.84048 + 6.65191i) q^{49} +(-1.31112 - 2.27092i) q^{50} +(0.486809 - 0.408482i) q^{51} +(1.66852 - 0.607292i) q^{52} +(-10.4484 - 3.80291i) q^{53} +(9.58469 + 8.04251i) q^{54} +(0.567349 - 3.21760i) q^{55} -28.8973 q^{56} +(3.95259 + 0.875722i) q^{57} +4.03786 q^{58} +(-1.35268 + 7.67146i) q^{59} +(3.46928 + 2.91108i) q^{60} +(-2.27305 - 0.827322i) q^{61} +(6.03429 - 2.19630i) q^{62} +(6.27353 - 5.26412i) q^{63} +(-4.66339 - 8.07723i) q^{64} +(-0.182071 + 0.315356i) q^{65} +(1.38176 + 7.83636i) q^{66} +(-1.65962 - 9.41216i) q^{67} +(1.66816 - 2.88935i) q^{68} +(-4.35042 - 7.53515i) q^{69} +(7.69668 - 6.45828i) q^{70} +(4.81203 - 1.75144i) q^{71} +(15.1477 + 5.51331i) q^{72} +(-6.03960 - 5.06782i) q^{73} +(0.0744033 - 0.421962i) q^{74} -0.928776 q^{75} +(21.0723 - 2.77705i) q^{76} +12.5186 q^{77} +(0.154001 - 0.873384i) q^{78} +(-7.14004 - 5.99121i) q^{79} +(9.41980 + 3.42853i) q^{80} +(-1.86106 + 0.677369i) q^{81} +(-14.8119 + 12.4287i) q^{82} +(-0.364559 - 0.631436i) q^{83} +(-8.67627 + 15.0277i) q^{84} +(0.118813 + 0.673822i) q^{85} +(1.17838 + 6.68294i) q^{86} +(0.715090 - 1.23857i) q^{87} +(12.3205 + 21.3398i) q^{88} +(9.68319 - 8.12516i) q^{89} +(-5.26670 + 1.91692i) q^{90} +(-1.31109 - 0.477199i) q^{91} +(-34.9928 - 29.3625i) q^{92} +(0.394957 - 2.23991i) q^{93} +23.0673 q^{94} +(-2.94441 + 3.21411i) q^{95} -10.4046 q^{96} +(-1.31055 + 7.43249i) q^{97} +(15.4291 + 12.9466i) q^{98} +(-6.56216 - 2.38843i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 18 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 6 q^{6} - 12 q^{8} - 21 q^{9}+O(q^{10}) \) 18 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 6 * q^6 - 12 * q^8 - 21 * q^9	\( 18 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 6 q^{6} - 12 q^{8} - 21 q^{9} - 3 q^{10} + 6 q^{12} - 3 q^{13} + 24 q^{14} + 3 q^{15} + 21 q^{16} - 24 q^{17} - 12 q^{18} - 12 q^{19} - 12 q^{20} + 3 q^{21} + 15 q^{22} + 21 q^{23} + 21 q^{24} - 21 q^{26} + 6 q^{27} - 24 q^{28} - 9 q^{29} - 12 q^{30} + 30 q^{31} + 45 q^{32} - 3 q^{33} + 24 q^{34} - 6 q^{35} - 21 q^{36} - 60 q^{37} - 15 q^{38} + 12 q^{39} - 6 q^{40} - 6 q^{41} + 39 q^{42} - 6 q^{43} - 30 q^{44} + 6 q^{45} + 21 q^{46} + 33 q^{47} - 63 q^{48} - 3 q^{49} + 27 q^{51} + 9 q^{52} + 24 q^{53} + 30 q^{54} - 3 q^{55} - 72 q^{56} - 30 q^{57} + 36 q^{58} + 18 q^{59} + 15 q^{60} + 6 q^{61} + 12 q^{62} + 24 q^{63} - 24 q^{64} + 3 q^{65} - 33 q^{66} - 24 q^{67} - 3 q^{68} + 27 q^{69} + 39 q^{70} + 24 q^{71} + 18 q^{72} + 6 q^{73} - 39 q^{74} - 6 q^{75} + 27 q^{76} + 24 q^{77} + 72 q^{78} + 9 q^{79} + 33 q^{80} + 15 q^{81} - 57 q^{82} - 12 q^{84} + 24 q^{85} - 33 q^{86} - 45 q^{87} + 39 q^{88} - 6 q^{89} - 21 q^{90} - 6 q^{91} - 66 q^{92} - 72 q^{93} - 66 q^{94} - 15 q^{95} - 18 q^{96} - 87 q^{97} + 39 q^{98} + 3 q^{99}+O(q^{100}) \) 18 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 6 * q^6 - 12 * q^8 - 21 * q^9 - 3 * q^10 + 6 * q^12 - 3 * q^13 + 24 * q^14 + 3 * q^15 + 21 * q^16 - 24 * q^17 - 12 * q^18 - 12 * q^19 - 12 * q^20 + 3 * q^21 + 15 * q^22 + 21 * q^23 + 21 * q^24 - 21 * q^26 + 6 * q^27 - 24 * q^28 - 9 * q^29 - 12 * q^30 + 30 * q^31 + 45 * q^32 - 3 * q^33 + 24 * q^34 - 6 * q^35 - 21 * q^36 - 60 * q^37 - 15 * q^38 + 12 * q^39 - 6 * q^40 - 6 * q^41 + 39 * q^42 - 6 * q^43 - 30 * q^44 + 6 * q^45 + 21 * q^46 + 33 * q^47 - 63 * q^48 - 3 * q^49 + 27 * q^51 + 9 * q^52 + 24 * q^53 + 30 * q^54 - 3 * q^55 - 72 * q^56 - 30 * q^57 + 36 * q^58 + 18 * q^59 + 15 * q^60 + 6 * q^61 + 12 * q^62 + 24 * q^63 - 24 * q^64 + 3 * q^65 - 33 * q^66 - 24 * q^67 - 3 * q^68 + 27 * q^69 + 39 * q^70 + 24 * q^71 + 18 * q^72 + 6 * q^73 - 39 * q^74 - 6 * q^75 + 27 * q^76 + 24 * q^77 + 72 * q^78 + 9 * q^79 + 33 * q^80 + 15 * q^81 - 57 * q^82 - 12 * q^84 + 24 * q^85 - 33 * q^86 - 45 * q^87 + 39 * q^88 - 6 * q^89 - 21 * q^90 - 6 * q^91 - 66 * q^92 - 72 * q^93 - 66 * q^94 - 15 * q^95 - 18 * q^96 - 87 * q^97 + 39 * q^98 + 3 * q^99

Introduction

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