LMFDB - Embedded newform 136.2.s.c.107.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [136,2,Mod(3,136)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(136, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([8, 8, 1]))

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

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

chi := DirichletCharacter("136.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 136 = 2^{3} \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	136.s (of order $16$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.08596546749$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$14$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			107.10
Character	$\chi$	$=$	136.107
Dual form			136.2.s.c.75.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.01691 + 0.982797i) q^{2} +(-1.25761 - 1.88214i) q^{3} +(0.0682220 + 1.99884i) q^{4} +(1.55757 + 0.309820i) q^{5} +(0.570886 - 3.14995i) q^{6} +(3.91750 - 0.779239i) q^{7} +(-1.89507 + 2.09969i) q^{8} +(-0.812832 + 1.96235i) q^{9} +O(q^{10})$	\(q+(1.01691 + 0.982797i) q^{2} +(-1.25761 - 1.88214i) q^{3} +(0.0682220 + 1.99884i) q^{4} +(1.55757 + 0.309820i) q^{5} +(0.570886 - 3.14995i) q^{6} +(3.91750 - 0.779239i) q^{7} +(-1.89507 + 2.09969i) q^{8} +(-0.812832 + 1.96235i) q^{9} +(1.27942 + 1.84583i) q^{10} +(-2.04236 - 1.36466i) q^{11} +(3.67630 - 2.64215i) q^{12} +(-1.67634 + 1.67634i) q^{13} +(4.74959 + 3.05769i) q^{14} +(-1.37568 - 3.32120i) q^{15} +(-3.99069 + 0.272729i) q^{16} +(-0.0531197 + 4.12276i) q^{17} +(-2.75517 + 1.19669i) q^{18} +(-1.36178 - 3.28763i) q^{19} +(-0.513018 + 3.13446i) q^{20} +(-6.39331 - 6.39331i) q^{21} +(-0.735715 - 3.39496i) q^{22} +(-5.72685 - 3.82656i) q^{23} +(6.33517 + 0.926213i) q^{24} +(-2.28937 - 0.948286i) q^{25} +(-3.35220 + 0.0571900i) q^{26} +(-1.94477 + 0.386838i) q^{27} +(1.82483 + 7.77728i) q^{28} +(-0.362301 + 1.82141i) q^{29} +(1.86511 - 4.72938i) q^{30} +(5.41149 + 8.09887i) q^{31} +(-4.32622 - 3.64470i) q^{32} +5.56021i q^{33} +(-4.10586 + 4.14028i) q^{34} +6.34320 q^{35} +(-3.97787 - 1.49084i) q^{36} +(5.16270 - 3.44961i) q^{37} +(1.84626 - 4.68158i) q^{38} +(5.26329 + 1.04693i) q^{39} +(-3.60223 + 2.68328i) q^{40} +(-0.977918 - 4.91633i) q^{41} +(-0.218114 - 12.7848i) q^{42} +(-1.08459 + 2.61842i) q^{43} +(2.58839 - 4.17543i) q^{44} +(-1.87402 + 2.80466i) q^{45} +(-2.06298 - 9.51961i) q^{46} +(-2.87182 + 2.87182i) q^{47} +(5.53204 + 7.16806i) q^{48} +(8.27242 - 3.42655i) q^{49} +(-1.39611 - 3.21431i) q^{50} +(7.82643 - 5.08484i) q^{51} +(-3.46510 - 3.23637i) q^{52} +(3.16997 - 1.31304i) q^{53} +(-2.35784 - 1.51793i) q^{54} +(-2.75831 - 2.75831i) q^{55} +(-5.78779 + 9.70224i) q^{56} +(-4.47520 + 6.69761i) q^{57} +(-2.15850 + 1.49614i) q^{58} +(6.57678 + 2.72419i) q^{59} +(6.54468 - 2.97635i) q^{60} +(1.72880 + 8.69128i) q^{61} +(-2.45653 + 13.5542i) q^{62} +(-1.65513 + 8.32089i) q^{63} +(-0.817393 - 7.95813i) q^{64} +(-3.13038 + 2.09165i) q^{65} +(-5.46455 + 5.65424i) q^{66} -6.11894i q^{67} +(-8.24435 + 0.175085i) q^{68} +15.5911i q^{69} +(6.45047 + 6.23407i) q^{70} +(-5.58989 + 3.73504i) q^{71} +(-2.57995 - 5.42549i) q^{72} +(2.78015 - 13.9768i) q^{73} +(8.64028 + 1.56594i) q^{74} +(1.09431 + 5.50148i) q^{75} +(6.47852 - 2.94626i) q^{76} +(-9.06432 - 3.75456i) q^{77} +(4.32339 + 6.23739i) q^{78} +(7.05875 - 10.5642i) q^{79} +(-6.30027 - 0.811601i) q^{80} +(7.67959 + 7.67959i) q^{81} +(3.83729 - 5.96057i) q^{82} +(-16.0062 + 6.62999i) q^{83} +(12.3430 - 13.2153i) q^{84} +(-1.36005 + 6.40503i) q^{85} +(-3.67631 + 1.59678i) q^{86} +(3.88378 - 1.60871i) q^{87} +(6.73577 - 1.70218i) q^{88} +(0.443072 - 0.443072i) q^{89} +(-4.66212 + 1.01032i) q^{90} +(-5.26080 + 7.87334i) q^{91} +(7.25797 - 11.7081i) q^{92} +(8.43769 - 20.3704i) q^{93} +(-5.74280 + 0.0979747i) q^{94} +(-1.10249 - 5.54261i) q^{95} +(-1.41915 + 12.7262i) q^{96} +(9.17174 + 1.82437i) q^{97} +(11.7799 + 4.64561i) q^{98} +(4.33803 - 2.89858i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{6} - 8 q^{8} - 16 q^{9}+O(q^{10}) $ 112 * q - 8 * q^2 - 16 * q^3 - 8 * q^4 - 8 * q^6 - 8 * q^8 - 16 * q^9	$ 112 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{6} - 8 q^{8} - 16 q^{9} - 8 q^{10} - 16 q^{11} + 24 q^{12} - 8 q^{14} - 16 q^{17} - 16 q^{18} - 16 q^{19} - 8 q^{20} - 8 q^{22} - 56 q^{24} - 16 q^{25} - 40 q^{26} + 32 q^{27} + 40 q^{28} - 72 q^{30} + 32 q^{32} - 72 q^{34} - 32 q^{35} + 56 q^{36} + 48 q^{38} + 56 q^{40} - 16 q^{41} - 56 q^{42} - 96 q^{43} + 24 q^{44} - 24 q^{46} + 16 q^{48} - 16 q^{49} - 16 q^{51} - 16 q^{52} - 24 q^{54} + 32 q^{56} + 32 q^{57} + 48 q^{58} - 16 q^{59} + 96 q^{60} + 48 q^{62} + 40 q^{64} + 64 q^{65} - 16 q^{66} + 80 q^{68} + 64 q^{70} + 96 q^{72} - 96 q^{73} + 40 q^{74} - 16 q^{75} + 48 q^{76} + 96 q^{78} + 8 q^{80} - 96 q^{81} + 32 q^{82} + 128 q^{83} + 64 q^{86} - 72 q^{88} - 16 q^{89} + 152 q^{90} - 16 q^{91} - 120 q^{92} + 88 q^{94} - 160 q^{96} - 16 q^{97} + 128 q^{98} + 48 q^{99}+O(q^{100}) $ 112 * q - 8 * q^2 - 16 * q^3 - 8 * q^4 - 8 * q^6 - 8 * q^8 - 16 * q^9 - 8 * q^10 - 16 * q^11 + 24 * q^12 - 8 * q^14 - 16 * q^17 - 16 * q^18 - 16 * q^19 - 8 * q^20 - 8 * q^22 - 56 * q^24 - 16 * q^25 - 40 * q^26 + 32 * q^27 + 40 * q^28 - 72 * q^30 + 32 * q^32 - 72 * q^34 - 32 * q^35 + 56 * q^36 + 48 * q^38 + 56 * q^40 - 16 * q^41 - 56 * q^42 - 96 * q^43 + 24 * q^44 - 24 * q^46 + 16 * q^48 - 16 * q^49 - 16 * q^51 - 16 * q^52 - 24 * q^54 + 32 * q^56 + 32 * q^57 + 48 * q^58 - 16 * q^59 + 96 * q^60 + 48 * q^62 + 40 * q^64 + 64 * q^65 - 16 * q^66 + 80 * q^68 + 64 * q^70 + 96 * q^72 - 96 * q^73 + 40 * q^74 - 16 * q^75 + 48 * q^76 + 96 * q^78 + 8 * q^80 - 96 * q^81 + 32 * q^82 + 128 * q^83 + 64 * q^86 - 72 * q^88 - 16 * q^89 + 152 * q^90 - 16 * q^91 - 120 * q^92 + 88 * q^94 - 160 * q^96 - 16 * q^97 + 128 * q^98 + 48 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/136\mathbb{Z}\right)^\times$.

$n$	$69$	$103$	$105$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{5}{16}\right)$

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 $

$2$	1.01691	+	0.982797i	0.719066	+	0.694942i
$2$	1.01691	+	0.982797i	0.719066	+	0.694942i
$3$	−1.25761	−	1.88214i	−0.726080	−	1.08666i	−0.992434	−	0.122780i	$-0.960819\pi$
$3$	−1.25761	−	1.88214i	−0.726080	−	1.08666i	0.266354	−	0.963875i	$-0.414181\pi$
$4$	0.0682220	+	1.99884i	0.0341110	+	0.999418i
$5$	1.55757	+	0.309820i	0.696566	+	0.138556i	0.530658	−	0.847586i	$-0.321945\pi$
$5$	1.55757	+	0.309820i	0.696566	+	0.138556i	0.165907	+	0.986141i	$0.446945\pi$
$6$	0.570886	−	3.14995i	0.233063	−	1.28596i
$7$	3.91750	−	0.779239i	1.48068	−	0.294525i	0.612376	−	0.790566i	$-0.290214\pi$
$7$	3.91750	−	0.779239i	1.48068	−	0.294525i	0.868299	+	0.496042i	$0.165214\pi$
$8$	−1.89507	+	2.09969i	−0.670010	+	0.742352i
$9$	−0.812832	+	1.96235i	−0.270944	+	0.654117i
$10$	1.27942	+	1.84583i	0.404589	+	0.583704i
$11$	−2.04236	−	1.36466i	−0.615793	−	0.411460i	0.208178	−	0.978091i	$-0.433247\pi$
$11$	−2.04236	−	1.36466i	−0.615793	−	0.411460i	−0.823972	+	0.566631i	$0.808247\pi$
$12$	3.67630	−	2.64215i	1.06126	−	0.762724i
$13$	−1.67634	+	1.67634i	−0.464934	+	0.464934i	−0.900269	−	0.435335i	$-0.856630\pi$
$13$	−1.67634	+	1.67634i	−0.464934	+	0.464934i	0.435335	+	0.900269i	$0.356630\pi$
$14$	4.74959	+	3.05769i	1.26938	+	0.817201i
$15$	−1.37568	−	3.32120i	−0.355200	−	0.857529i
$16$	−3.99069	+	0.272729i	−0.997673	+	0.0681823i
$17$	−0.0531197	+	4.12276i	−0.0128834	+	0.999917i
$17$	−0.0531197	+	4.12276i	−0.0128834	+	0.999917i
$18$	−2.75517	+	1.19669i	−0.649400	+	0.282062i
$19$	−1.36178	−	3.28763i	−0.312414	−	0.754233i	−0.999614	−	0.0277659i	$-0.991161\pi$
$19$	−1.36178	−	3.28763i	−0.312414	−	0.754233i	0.687201	−	0.726468i	$-0.258839\pi$
$20$	−0.513018	+	3.13446i	−0.114714	+	0.700887i
$21$	−6.39331	−	6.39331i	−1.39513	−	1.39513i
$22$	−0.735715	−	3.39496i	−0.156855	−	0.723807i
$23$	−5.72685	−	3.82656i	−1.19413	−	0.797893i	−0.210413	−	0.977612i	$-0.567481\pi$
$23$	−5.72685	−	3.82656i	−1.19413	−	0.797893i	−0.983718	+	0.179719i	$0.942481\pi$
$24$	6.33517	+	0.926213i	1.29316	+	0.189062i
$25$	−2.28937	−	0.948286i	−0.457873	−	0.189657i
$26$	−3.35220	+	0.0571900i	−0.657420	+	0.0112159i
$27$	−1.94477	+	0.386838i	−0.374271	+	0.0744471i
$28$	1.82483	+	7.77728i	0.344860	+	1.46977i
$29$	−0.362301	+	1.82141i	−0.0672775	+	0.338227i	−0.999734	−	0.0230549i	$-0.992661\pi$
$29$	−0.362301	+	1.82141i	−0.0672775	+	0.338227i	0.932457	+	0.361282i	$0.117661\pi$
$30$	1.86511	−	4.72938i	0.340521	−	0.863463i
$31$	5.41149	+	8.09887i	0.971933	+	1.45460i	0.888926	+	0.458051i	$0.151452\pi$
$31$	5.41149	+	8.09887i	0.971933	+	1.45460i	0.0830072	+	0.996549i	$0.473548\pi$
$32$	−4.32622	−	3.64470i	−0.764775	−	0.644297i
$33$			5.56021i			0.967907i
$34$	−4.10586	+	4.14028i	−0.704148	+	0.710053i
$35$	6.34320			1.07220
$36$	−3.97787	−	1.49084i	−0.662978	−	0.248474i
$37$	5.16270	−	3.44961i	0.848743	−	0.567112i	−0.0533879	−	0.998574i	$-0.517002\pi$
$37$	5.16270	−	3.44961i	0.848743	−	0.567112i	0.902131	+	0.431462i	$0.142002\pi$
$38$	1.84626	−	4.68158i	0.299503	−	0.759453i
$39$	5.26329	+	1.04693i	0.842801	+	0.167644i
$40$	−3.60223	+	2.68328i	−0.569563	+	0.424264i
$41$	−0.977918	−	4.91633i	−0.152725	−	0.767801i	−0.978892	−	0.204376i	$-0.934483\pi$
$41$	−0.977918	−	4.91633i	−0.152725	−	0.767801i	0.826167	−	0.563425i	$-0.190517\pi$
$42$	−0.218114	−	12.7848i	−0.0336557	−	1.97273i
$43$	−1.08459	+	2.61842i	−0.165398	+	0.399306i	−0.984748	−	0.173988i	$-0.944335\pi$
$43$	−1.08459	+	2.61842i	−0.165398	+	0.399306i	0.819350	+	0.573294i	$0.194335\pi$
$44$	2.58839	−	4.17543i	0.390215	−	0.629470i
$45$	−1.87402	+	2.80466i	−0.279362	+	0.418095i
$46$	−2.06298	−	9.51961i	−0.304169	−	1.40359i
$47$	−2.87182	+	2.87182i	−0.418898	+	0.418898i	−0.884824	−	0.465926i	$-0.845721\pi$
$47$	−2.87182	+	2.87182i	−0.418898	+	0.418898i	0.465926	+	0.884824i	$0.345721\pi$
$48$	5.53204	+	7.16806i	0.798481	+	1.03462i
$49$	8.27242	−	3.42655i	1.18177	−	0.489507i
$50$	−1.39611	−	3.21431i	−0.197440	−	0.454571i
$51$	7.82643	−	5.08484i	1.09592	−	0.712020i
$52$	−3.46510	−	3.23637i	−0.480523	−	0.448804i
$53$	3.16997	−	1.31304i	0.435428	−	0.180360i	−0.154192	−	0.988041i	$-0.549277\pi$
$53$	3.16997	−	1.31304i	0.435428	−	0.180360i	0.589620	+	0.807681i	$0.299277\pi$
$54$	−2.35784	−	1.51793i	−0.320862	−	0.206564i
$55$	−2.75831	−	2.75831i	−0.371930	−	0.371930i
$56$	−5.78779	+	9.70224i	−0.773426	+	1.29652i
$57$	−4.47520	+	6.69761i	−0.592754	+	0.887120i
$58$	−2.15850	+	1.49614i	−0.283425	+	0.196453i
$59$	6.57678	+	2.72419i	0.856224	+	0.354660i	0.767230	−	0.641372i	$-0.221635\pi$
$59$	6.57678	+	2.72419i	0.856224	+	0.354660i	0.0889946	+	0.996032i	$0.471635\pi$
$60$	6.54468	−	2.97635i	0.844914	−	0.384245i
$61$	1.72880	+	8.69128i	0.221351	+	1.11280i	0.918361	+	0.395744i	$0.129513\pi$
$61$	1.72880	+	8.69128i	0.221351	+	1.11280i	−0.697010	+	0.717061i	$0.745487\pi$
$62$	−2.45653	+	13.5542i	−0.311979	+	1.72139i
$63$	−1.65513	+	8.32089i	−0.208527	+	1.04833i
$64$	−0.817393	−	7.95813i	−0.102174	−	0.994767i
$65$	−3.13038	+	2.09165i	−0.388276	+	0.259438i
$66$	−5.46455	+	5.65424i	−0.672640	+	0.695989i
$67$		−	6.11894i		−	0.747548i	−0.927520	−	0.373774i	$-0.878064\pi$
$67$		−	6.11894i		−	0.747548i	0.927520	−	0.373774i	$-0.121936\pi$
$68$	−8.24435	+	0.175085i	−0.999775	+	0.0212322i
$69$			15.5911i			1.87694i
$70$	6.45047	+	6.23407i	0.770979	+	0.745114i
$71$	−5.58989	+	3.73504i	−0.663398	+	0.443268i	−0.841146	−	0.540808i	$-0.818119\pi$
$71$	−5.58989	+	3.73504i	−0.663398	+	0.443268i	0.177749	+	0.984076i	$0.443119\pi$
$72$	−2.57995	−	5.42549i	−0.304050	−	0.639400i
$73$	2.78015	−	13.9768i	0.325392	−	1.63586i	−0.378538	−	0.925586i	$-0.623573\pi$
$73$	2.78015	−	13.9768i	0.325392	−	1.63586i	0.703930	−	0.710270i	$-0.251427\pi$
$74$	8.64028	+	1.56594i	1.00441	+	0.182037i
$75$	1.09431	+	5.50148i	0.126360	+	0.635256i
$76$	6.47852	−	2.94626i	0.743138	−	0.337960i
$77$	−9.06432	−	3.75456i	−1.03297	−	0.427872i
$78$	4.32339	+	6.23739i	0.489527	+	0.706245i
$79$	7.05875	−	10.5642i	0.794171	−	1.18856i	−0.184440	−	0.982844i	$-0.559047\pi$
$79$	7.05875	−	10.5642i	0.794171	−	1.18856i	0.978611	−	0.205717i	$-0.0659527\pi$
$80$	−6.30027	−	0.811601i	−0.704392	−	0.0907397i
$81$	7.67959	+	7.67959i	0.853288	+	0.853288i
$82$	3.83729	−	5.96057i	0.423758	−	0.658235i
$83$	−16.0062	+	6.62999i	−1.75691	+	0.727736i	−0.759936	+	0.649998i	$0.774770\pi$
$83$	−16.0062	+	6.62999i	−1.75691	+	0.727736i	−0.996974	+	0.0777381i	$0.975230\pi$
$84$	12.3430	−	13.2153i	1.34673	−	1.44191i
$85$	−1.36005	+	6.40503i	−0.147518	+	0.694723i
$86$	−3.67631	+	1.59678i	−0.396426	+	0.172185i
$87$	3.88378	−	1.60871i	0.416385	−	0.172472i
$88$	6.73577	−	1.70218i	0.718036	−	0.181453i
$89$	0.443072	−	0.443072i	0.0469655	−	0.0469655i	−0.683234	−	0.730200i	$-0.739427\pi$
$89$	0.443072	−	0.443072i	0.0469655	−	0.0469655i	0.730200	+	0.683234i	$0.239427\pi$
$90$	−4.66212	+	1.01032i	−0.491431	+	0.106497i
$91$	−5.26080	+	7.87334i	−0.551481	+	0.825350i
$92$	7.25797	−	11.7081i	0.756696	−	1.22065i
$93$	8.43769	−	20.3704i	0.874948	−	2.11231i
$94$	−5.74280	+	0.0979747i	−0.592324	+	0.0101053i
$95$	−1.10249	−	5.54261i	−0.113113	−	0.568660i
$96$	−1.41915	+	12.7262i	−0.144841	+	1.29886i
$97$	9.17174	+	1.82437i	0.931249	+	0.185237i	0.637328	−	0.770593i	$-0.280040\pi$
$97$	9.17174	+	1.82437i	0.931249	+	0.185237i	0.293921	+	0.955830i	$0.405040\pi$
$98$	11.7799	+	4.64561i	1.18995	+	0.469277i
$99$	4.33803	−	2.89858i	0.435988	−	0.291318i
$100$	1.73928	−	4.64076i	0.173928	−	0.464076i
$101$	5.10512			0.507978			0.253989	−	0.967207i	$-0.418257\pi$
$101$	5.10512			0.507978			0.253989	+	0.967207i	$0.418257\pi$
$102$	12.9562	+	2.52095i	1.28285	+	0.249612i
$103$			0.265102i			0.0261212i	0.999915	+	0.0130606i	$0.00415744\pi$
$103$			0.265102i			0.0261212i	−0.999915	+	0.0130606i	$0.995843\pi$
$104$	−0.343007	−	6.69659i	−0.0336346	−	0.656655i
$105$	−7.97725	−	11.9388i	−0.778500	−	1.16511i
$106$	4.51403	+	1.78018i	0.438442	+	0.172907i
$107$	−1.02449	+	5.15045i	−0.0990410	+	0.497913i	0.899142	+	0.437657i	$0.144192\pi$
$107$	−1.02449	+	5.15045i	−0.0990410	+	0.497913i	−0.998183	+	0.0602556i	$0.980808\pi$
$108$	−0.905903	−	3.86088i	−0.0871705	−	0.371514i
$109$	9.58462	−	1.90650i	0.918040	−	0.182609i	0.286614	−	0.958046i	$-0.407470\pi$
$109$	9.58462	−	1.90650i	0.918040	−	0.182609i	0.631425	+	0.775437i	$0.282470\pi$
$110$	−0.0941024	−	5.51582i	−0.00897231	−	0.525913i
$111$	−12.9853	−	5.37869i	−1.23251	−	0.510523i
$112$	−15.4210	+	4.17812i	−1.45715	+	0.394795i
$113$	−6.70304	−	4.47883i	−0.630569	−	0.421333i	0.198795	−	0.980041i	$-0.436297\pi$
$113$	−6.70304	−	4.47883i	−0.630569	−	0.421333i	−0.829364	+	0.558708i	$0.811297\pi$
$114$	−11.1333	+	2.41267i	−1.04273	+	0.225967i
$115$	−7.73442	−	7.73442i	−0.721239	−	0.721239i
$116$	−3.66541	−	0.599919i	−0.340325	−	0.0557011i
$117$	−1.92699	−	4.65216i	−0.178150	−	0.430092i
$118$	4.01069	+	9.23391i	0.369214	+	0.850050i
$119$	3.00452	+	16.1923i	0.275424	+	1.48435i
$120$	9.58050	+	3.40540i	0.874576	+	0.310869i
$121$	−1.90059	−	4.58844i	−0.172781	−	0.417131i
$122$	−6.78372	+	10.5373i	−0.614169	+	0.954006i
$123$	−8.02339	+	8.02339i	−0.723445	+	0.723445i
$124$	−15.8191	+	11.3692i	−1.42060	+	1.02099i
$125$	−9.87426	−	6.59777i	−0.883181	−	0.590123i
$126$	−9.86087	+	6.83497i	−0.878476	+	0.608907i
$127$	−0.215916	+	0.521267i	−0.0191594	+	0.0462550i	−0.933170	−	0.359436i	$-0.882969\pi$
$127$	−0.215916	+	0.521267i	−0.0191594	+	0.0462550i	0.914010	+	0.405691i	$0.132969\pi$
$128$	6.99001	−	8.89606i	0.617835	−	0.786308i
$129$	6.29223	−	1.25160i	0.554000	−	0.110197i
$130$	−5.23900	−	0.949499i	−0.459490	−	0.0832766i
$131$	19.6039	+	3.89946i	1.71280	+	0.340697i	0.951487	−	0.307688i	$-0.0995553\pi$
$131$	19.6039	+	3.89946i	1.71280	+	0.340697i	0.761313	+	0.648385i	$0.224555\pi$
$132$	−11.1139	+	0.379328i	−0.967344	+	0.0330163i
$133$	−7.89662	−	11.8181i	−0.684723	−	1.02476i
$134$	6.01368	−	6.22243i	0.519503	−	0.537536i
$135$	−3.14896			−0.271019
$136$	−8.55586	−	7.92447i	−0.733659	−	0.679518i
$137$	−3.05874			−0.261326			−0.130663	−	0.991427i	$-0.541711\pi$
$137$	−3.05874			−0.261326			−0.130663	+	0.991427i	$0.541711\pi$
$138$	−15.3228	+	15.8547i	−1.30437	+	1.34965i
$139$	4.93873	+	7.39132i	0.418897	+	0.626924i	0.979568	−	0.201115i	$-0.0644565\pi$
$139$	4.93873	+	7.39132i	0.418897	+	0.626924i	−0.560670	+	0.828039i	$0.689457\pi$
$140$	0.432745	+	12.6790i	0.0365736	+	1.07157i
$141$	9.01678	+	1.79355i	0.759350	+	0.151044i
$142$	−9.35521	−	1.69551i	−0.785072	−	0.142284i
$143$	5.71132	−	1.13605i	0.477605	−	0.0950015i
$144$	2.70857	−	8.05282i	0.225714	−	0.671068i
$145$	−1.12862	+	2.72472i	−0.0937264	+	0.226276i
$146$	16.5635	−	11.4808i	1.37080	−	0.950159i
$147$	−16.8527	−	11.2606i	−1.38999	−	0.928760i
$148$	7.24741	+	10.0841i	0.595734	+	0.828905i
$149$	−8.62399	+	8.62399i	−0.706505	+	0.706505i	−0.965798	−	0.259294i	$-0.916510\pi$
$149$	−8.62399	+	8.62399i	−0.706505	+	0.706505i	0.259294	+	0.965798i	$0.416510\pi$
$150$	−4.29402	+	6.67001i	−0.350605	+	0.544604i
$151$	−3.92551	−	9.47701i	−0.319453	−	0.771228i	−0.999283	−	0.0378583i	$-0.987946\pi$
$151$	−3.92551	−	9.47701i	−0.319453	−	0.771228i	0.679830	−	0.733370i	$-0.262054\pi$
$152$	9.48367	+	3.37098i	0.769227	+	0.273423i
$153$	−8.04713	−	3.45535i	−0.650572	−	0.279349i
$154$	−5.52765	−	12.7264i	−0.445430	−	1.02553i
$155$	5.91958	+	14.2911i	0.475472	+	1.14789i
$156$	−1.73358	+	10.5919i	−0.138797	+	0.848030i
$157$	13.4869	+	13.4869i	1.07637	+	1.07637i	0.996832	+	0.0795382i	$0.0253446\pi$
$157$	13.4869	+	13.4869i	1.07637	+	1.07637i	0.0795382	+	0.996832i	$0.474655\pi$
$158$	17.5605	−	3.80552i	1.39704	−	0.302751i
$159$	−6.45790	−	4.31503i	−0.512145	−	0.342204i
$160$	−5.60919	−	7.01721i	−0.443445	−	0.554759i
$161$	−25.4167	−	10.5280i	−2.00312	−	0.829719i
$162$	0.261997	+	15.3569i	0.0205844	+	1.20656i
$163$	3.46089	−	0.688413i	0.271078	−	0.0539207i	−0.0576797	−	0.998335i	$-0.518370\pi$
$163$	3.46089	−	0.688413i	0.271078	−	0.0539207i	0.328757	+	0.944414i	$0.393370\pi$
$164$	9.76022	−	2.29010i	0.762145	−	0.178827i
$165$	−1.72266	+	8.66040i	−0.134109	+	0.674211i
$166$	−22.7928	−	8.98873i	−1.76907	−	0.697661i
$167$	−7.07994	−	10.5959i	−0.547863	−	0.819934i	0.449442	−	0.893310i	$-0.351623\pi$
$167$	−7.07994	−	10.5959i	−0.547863	−	0.819934i	−0.997304	+	0.0733754i	$0.976623\pi$
$168$	25.5398	−	1.30818i	1.97044	−	0.100928i
$169$			7.37975i			0.567673i
$170$	−7.67789	+	5.17670i	−0.588868	+	0.397035i
$171$	7.55837			0.578003
$172$	−5.30779	−	1.98928i	−0.404715	−	0.151681i
$173$	9.27081	−	6.19456i	0.704847	−	0.470964i	−0.150773	−	0.988568i	$-0.548176\pi$
$173$	9.27081	−	6.19456i	0.704847	−	0.470964i	0.855620	+	0.517605i	$0.173176\pi$
$174$	5.53050	+	2.18104i	0.419266	+	0.165344i
$175$	−9.70753	−	1.93095i	−0.733820	−	0.145966i
$176$	8.52259	+	4.88892i	0.642414	+	0.368516i
$177$	−3.14369	−	15.8044i	−0.236294	−	1.18793i
$178$	0.886015	−	0.0151158i	0.0664096	−	0.00113298i
$179$	1.32051	−	3.18798i	0.0986992	−	0.238281i	−0.866816	−	0.498629i	$-0.833837\pi$
$179$	1.32051	−	3.18798i	0.0986992	−	0.238281i	0.965515	+	0.260348i	$0.0838372\pi$
$180$	−5.73391	−	3.55451i	−0.427381	−	0.264938i
$181$	7.57255	−	11.3331i	0.562863	−	0.842385i	−0.435464	−	0.900206i	$-0.643416\pi$
$181$	7.57255	−	11.3331i	0.562863	−	0.842385i	0.998327	+	0.0578218i	$0.0184155\pi$
$182$	−13.0877	+	2.83620i	−0.970122	+	0.210233i
$183$	14.1841	−	14.1841i	1.04852	−	1.04852i
$184$	18.8874	−	4.77300i	1.39240	−	0.351870i
$185$	9.11002	−	3.77350i	0.669782	−	0.277433i
$186$	28.6003	−	12.4224i	2.09708	−	0.910853i
$187$	5.73465	−	8.34766i	0.419359	−	0.610441i
$188$	−5.93621	−	5.54437i	−0.432943	−	0.404365i
$189$	−7.31719	+	3.03088i	−0.532247	+	0.220464i
$190$	4.32612	−	6.71988i	0.313850	−	0.487511i
$191$	15.5081	+	15.5081i	1.12212	+	1.12212i	0.991422	+	0.130703i	$0.0417236\pi$
$191$	15.5081	+	15.5081i	1.12212	+	1.12212i	0.130703	+	0.991422i	$0.458276\pi$
$192$	−13.9504	+	11.5467i	−1.00678	+	0.833308i
$193$	0.764638	−	1.14436i	0.0550398	−	0.0823730i	−0.802929	−	0.596075i	$-0.796726\pi$
$193$	0.764638	−	1.14436i	0.0550398	−	0.0823730i	0.857969	+	0.513702i	$0.171726\pi$
$194$	7.53387	+	10.8692i	0.540900	+	0.780362i
$195$	7.87358	+	3.26134i	0.563839	+	0.233550i
$196$	7.41347	+	16.3014i	0.529534	+	1.16439i
$197$	−2.05749	−	10.3437i	−0.146590	−	0.736957i	−0.982230	−	0.187680i	$-0.939903\pi$
$197$	−2.05749	−	10.3437i	−0.146590	−	0.736957i	0.835641	−	0.549277i	$-0.185097\pi$
$198$	7.26011	+	1.31580i	0.515953	+	0.0935098i
$199$	−3.58491	+	18.0226i	−0.254128	+	1.27759i	0.617169	+	0.786831i	$0.288279\pi$
$199$	−3.58491	+	18.0226i	−0.254128	+	1.27759i	−0.871297	+	0.490756i	$0.836721\pi$
$200$	6.32962	−	3.00989i	0.447572	−	0.212831i
$201$	−11.5167	+	7.69523i	−0.812327	+	0.542779i
$202$	5.19146	+	5.01729i	0.365270	+	0.353015i
$203$			7.41768i			0.520619i
$204$	10.6977	+	15.2969i	0.748988	+	1.07099i
$205$		−	7.96050i		−	0.555985i
$206$	−0.260541	+	0.269585i	−0.0181528	+	0.0187829i
$207$	12.1640	−	8.12774i	0.845458	−	0.564917i
$208$	6.23258	−	7.14695i	0.432152	−	0.495552i
$209$	−1.70525	+	8.57287i	−0.117955	+	0.592998i
$210$	3.62124	−	19.9807i	0.249889	−	1.37880i
$211$	−0.365262	−	1.83630i	−0.0251457	−	0.126416i	0.966174	−	0.257893i	$-0.0830281\pi$
$211$	−0.365262	−	1.83630i	−0.0251457	−	0.126416i	−0.991319	+	0.131477i	$0.958028\pi$
$212$	2.84082	+	6.24666i	0.195108	+	0.429023i
$213$	14.0598	+	5.82374i	0.963359	+	0.399036i
$214$	−6.10366	+	4.23069i	−0.417237	+	0.289204i
$215$	−2.50056	+	3.74235i	−0.170537	+	0.255226i
$216$	2.87324	−	4.81650i	0.195499	−	0.327721i
$217$	27.5105	+	27.5105i	1.86753	+	1.86753i
$218$	11.6204	+	7.48099i	0.787034	+	0.506676i
$219$	−29.8026	+	12.3446i	−2.01387	+	0.834173i
$220$	5.32523	−	5.70159i	0.359027	−	0.384401i
$221$	−6.82212	−	7.00021i	−0.458905	−	0.470885i
$222$	−7.91876	−	18.2316i	−0.531472	−	1.22362i
$223$	−12.4584	+	5.16043i	−0.834275	+	0.345568i	−0.758594	−	0.651564i	$-0.774113\pi$
$223$	−12.4584	+	5.16043i	−0.834275	+	0.345568i	−0.0756812	+	0.997132i	$0.524113\pi$
$224$	−19.7881	−	10.9069i	−1.32214	−	0.728750i
$225$	3.72174	−	3.72174i	0.248116	−	0.248116i
$226$	−2.41463	−	11.1423i	−0.160619	−	0.741175i
$227$	11.5521	−	17.2889i	0.766738	−	1.14750i	−0.218420	−	0.975855i	$-0.570090\pi$
$227$	11.5521	−	17.2889i	0.766738	−	1.14750i	0.985158	−	0.171650i	$-0.0549098\pi$
$228$	−13.6927	−	8.48826i	−0.906823	−	0.562149i
$229$	−9.64260	+	23.2793i	−0.637201	+	1.53834i	0.193193	+	0.981161i	$0.438116\pi$
$229$	−9.64260	+	23.2793i	−0.637201	+	1.53834i	−0.830393	+	0.557178i	$0.811884\pi$
$230$	−0.263867	−	15.4666i	−0.0173989	−	1.01984i
$231$	4.33273	+	21.7821i	0.285073	+	1.43316i
$232$	−3.13780	−	4.21242i	−0.206007	−	0.276559i
$233$	−2.27157	−	0.451844i	−0.148816	−	0.0296013i	0.120120	−	0.992759i	$-0.461672\pi$
$233$	−2.27157	−	0.451844i	−0.148816	−	0.0296013i	−0.268936	+	0.963158i	$0.586672\pi$
$234$	2.61255	−	6.62467i	0.170787	−	0.433068i
$235$	−5.36280	+	3.58331i	−0.349830	+	0.233749i
$236$	−4.99653	+	13.3318i	−0.325247	+	0.867824i
$237$	−28.7604			−1.86819
$238$	−12.8584	+	19.4190i	−0.833487	+	1.25875i
$239$			11.2231i			0.725965i	0.931796	+	0.362982i	$0.118241\pi$
$239$			11.2231i			0.725965i	−0.931796	+	0.362982i	$0.881759\pi$
$240$	6.39572	+	12.8787i	0.412842	+	0.831315i
$241$	−3.12364	−	4.67486i	−0.201211	−	0.301134i	0.717118	−	0.696952i	$-0.245461\pi$
$241$	−3.12364	−	4.67486i	−0.201211	−	0.301134i	−0.918329	+	0.395818i	$0.870461\pi$
$242$	2.57677	−	6.53394i	0.165641	−	0.420018i
$243$	3.63566	−	18.2777i	0.233228	−	1.17251i
$244$	−17.2545	+	4.04853i	−1.10461	+	0.259181i
$245$	13.9465	−	2.77413i	0.891008	−	0.177232i
$246$	−16.0444	+	0.273725i	−1.02296	+	0.0174521i
$247$	7.79400	+	3.22838i	0.495920	+	0.205417i
$248$	−27.2603	−	3.98550i	−1.73103	−	0.253080i
$249$	32.6081	+	21.7880i	2.06645	+	1.38076i
$250$	−3.55699	−	16.4137i	−0.224964	−	1.03810i
$251$	−11.1300	−	11.1300i	−0.702519	−	0.702519i	0.262432	−	0.964951i	$-0.415476\pi$
$251$	−11.1300	−	11.1300i	−0.702519	−	0.702519i	−0.964951	+	0.262432i	$0.915476\pi$
$252$	−16.7450	−	2.74066i	−1.05484	−	0.172646i
$253$	6.47432	+	15.6304i	0.407037	+	0.982674i
$254$	−0.731867	+	0.317882i	−0.0459214	+	0.0199457i
$255$	13.7656	−	5.49520i	0.862034	−	0.344123i
$256$	15.8512	−	2.17675i	0.990702	−	0.136047i
$257$	1.55502	+	3.75414i	0.0969992	+	0.234177i	0.964929	−	0.262509i	$-0.0845500\pi$
$257$	1.55502	+	3.75414i	0.0969992	+	0.234177i	−0.867930	+	0.496686i	$0.834550\pi$
$258$	7.62872	+	4.91121i	0.474943	+	0.305759i
$259$	17.5368	−	17.5368i	1.08968	−	1.08968i
$260$	−4.39444	−	6.11442i	−0.272531	−	0.379200i
$261$	−3.27975	−	2.19146i	−0.203011	−	0.135648i
$262$	16.1031	+	23.2320i	0.994851	+	1.43528i
$263$	5.20634	−	12.5692i	0.321037	−	0.775051i	−0.678158	−	0.734916i	$-0.737221\pi$
$263$	5.20634	−	12.5692i	0.321037	−	0.775051i	0.999194	−	0.0401344i	$-0.0127786\pi$
$264$	−11.6747	−	10.5370i	−0.718528	−	0.648507i
$265$	5.34425	−	1.06304i	0.328294	−	0.0653018i
$266$	3.58464	−	19.7788i	0.219788	−	1.21271i
$267$	−1.39113	−	0.276714i	−0.0851360	−	0.0169346i
$268$	12.2308	−	0.417446i	0.747113	−	0.0254996i
$269$	0.757121	+	1.13311i	0.0461625	+	0.0690871i	0.853833	−	0.520547i	$-0.174272\pi$
$269$	0.757121	+	1.13311i	0.0461625	+	0.0690871i	−0.807670	+	0.589634i	$0.799272\pi$
$270$	−3.20222	−	3.09479i	−0.194881	−	0.188343i
$271$	1.17410			0.0713212			0.0356606	−	0.999364i	$-0.488646\pi$
$271$	1.17410			0.0713212			0.0356606	+	0.999364i	$0.488646\pi$
$272$	−0.912413	−	16.4672i	−0.0553232	−	0.998469i
$273$	21.4348			1.29729
$274$	−3.11047	−	3.00612i	−0.187911	−	0.181606i
$275$	3.38161	+	5.06094i	0.203919	+	0.305186i
$276$	−31.1640	+	1.06365i	−1.87585	+	0.0640244i
$277$	−25.2299	−	5.01854i	−1.51592	−	0.301535i	−0.634147	−	0.773212i	$-0.718649\pi$
$277$	−25.2299	−	5.01854i	−1.51592	−	0.301535i	−0.881771	+	0.471677i	$0.843649\pi$
$278$	−2.24192	+	12.3701i	−0.134461	+	0.741909i
$279$	−20.2915	+	4.03622i	−1.21482	+	0.241642i
$280$	−12.0208	+	13.3187i	−0.718381	+	0.795947i
$281$	−1.11240	+	2.68556i	−0.0663600	+	0.160207i	−0.953580	−	0.301139i	$-0.902633\pi$
$281$	−1.11240	+	2.68556i	−0.0663600	+	0.160207i	0.887220	+	0.461346i	$0.152633\pi$
$282$	7.40658	+	10.6855i	0.441056	+	0.636315i
$283$	−5.74499	−	3.83868i	−0.341504	−	0.228186i	0.372977	−	0.927841i	$-0.378337\pi$
$283$	−5.74499	−	3.83868i	−0.341504	−	0.228186i	−0.714481	+	0.699655i	$0.753337\pi$
$284$	−7.84709	−	10.9185i	−0.465639	−	0.647891i
$285$	−9.04548	+	9.04548i	−0.535808	+	0.535808i
$286$	6.92442	+	4.45780i	0.409450	+	0.263595i
$287$	−7.66199	−	18.4977i	−0.452273	−	1.09188i
$288$	10.6687	−	5.52703i	0.628657	−	0.325684i
$289$	−16.9944	−	0.438000i	−0.999668	−	0.0257647i
$290$	−3.82555	+	1.66160i	−0.224644	+	0.0975726i
$291$	−8.10072	−	19.5569i	−0.474872	−	1.14644i
$292$	28.1269	+	4.60354i	1.64600	+	0.269402i
$293$	10.3468	+	10.3468i	0.604467	+	0.604467i	0.941495	−	0.337028i	$-0.109422\pi$
$293$	10.3468	+	10.3468i	0.604467	+	0.604467i	−0.337028	+	0.941495i	$0.609422\pi$
$294$	−6.07083	−	28.0138i	−0.354058	−	1.63380i
$295$	9.39978	+	6.28073i	0.547277	+	0.365678i
$296$	−2.54060	+	17.3773i	−0.147669	+	1.01004i
$297$	4.49981	+	1.86388i	0.261105	+	0.108153i
$298$	−17.2455	+	0.294215i	−0.999003	+	0.0170434i
$299$	16.0148	−	3.18554i	0.926159	−	0.184225i
$300$	−10.9219	+	2.56267i	−0.630577	+	0.147956i
$301$	−2.20849	+	11.1028i	−0.127295	+	0.639956i
$302$	5.32208	−	13.4953i	0.306251	−	0.776565i
$303$	−6.42023	−	9.60855i	−0.368833	−	0.551997i
$304$	6.33107	+	12.7485i	0.363112	+	0.731177i
$305$			14.0729i			0.805811i
$306$	−4.78732	−	11.4225i	−0.273673	−	0.652980i
$307$	−26.5174			−1.51343			−0.756715	−	0.653745i	$-0.773197\pi$
$307$	−26.5174			−1.51343			−0.756715	+	0.653745i	$0.773197\pi$
$308$	6.88637	−	18.3742i	0.392387	−	1.04697i
$309$	0.498959	−	0.333394i	0.0283848	−	0.0189661i
$310$	−8.02558	+	20.3506i	−0.455822	+	1.15584i
$311$	6.62139	+	1.31708i	0.375465	+	0.0746846i	0.379215	−	0.925308i	$-0.376194\pi$
$311$	6.62139	+	1.31708i	0.375465	+	0.0746846i	−0.00375083	+	0.999993i	$0.501194\pi$
$312$	−12.1726	+	9.06727i	−0.689136	+	0.513333i
$313$	−0.830614	−	4.17578i	−0.0469491	−	0.236029i	0.950185	−	0.311687i	$-0.100894\pi$
$313$	−0.830614	−	4.17578i	−0.0469491	−	0.236029i	−0.997134	+	0.0756583i	$0.975894\pi$
$314$	0.460118	+	26.9698i	0.0259659	+	1.52200i
$315$	−5.15595	+	12.4476i	−0.290505	+	0.701341i
$316$	21.5976	+	13.3886i	1.21496	+	0.753166i
$317$	−6.65233	+	9.95591i	−0.373632	+	0.559180i	−0.969868	−	0.243629i	$-0.921662\pi$
$317$	−6.65233	+	9.95591i	−0.373632	+	0.559180i	0.596237	+	0.802809i	$0.296662\pi$
$318$	−2.32632	−	10.7348i	−0.130454	−	0.601979i
$319$	3.22555	−	3.22555i	0.180596	−	0.180596i
$320$	1.19244	−	12.6486i	0.0666594	−	0.707077i
$321$	10.9823	−	4.54901i	0.612971	−	0.253901i
$322$	−15.4998	−	35.6855i	−0.863768	−	1.98867i
$323$	13.6264	−	5.43966i	0.758196	−	0.302671i
$324$	−14.8263	+	15.8742i	−0.823685	+	0.881898i
$325$	5.42741	−	2.24811i	0.301059	−	0.124703i
$326$	4.19599	+	2.70129i	0.232394	+	0.149611i
$327$	−15.6420	−	15.6420i	−0.865004	−	0.865004i
$328$	12.1760	+	7.26348i	0.672307	+	0.401058i
$329$	−9.01250	+	13.4882i	−0.496875	+	0.743627i
$330$	−10.2632	+	7.11384i	−0.564971	+	0.391604i
$331$	7.49253	+	3.10351i	0.411827	+	0.170584i	0.578971	−	0.815348i	$-0.303455\pi$
$331$	7.49253	+	3.10351i	0.411827	+	0.170584i	−0.167144	+	0.985932i	$0.553455\pi$
$332$	−14.3442	−	31.5415i	−0.787242	−	1.73106i
$333$	2.57293	+	12.9350i	0.140996	+	0.708833i
$334$	3.21392	−	17.7332i	0.175858	−	0.970319i
$335$	1.89577	−	9.53068i	0.103577	−	0.520717i
$336$	27.2574	+	23.7701i	1.48701	+	1.29676i
$337$	−22.3238	+	14.9163i	−1.21605	+	0.812541i	−0.986976	−	0.160868i	$-0.948571\pi$
$337$	−22.3238	+	14.9163i	−1.21605	+	0.812541i	−0.229077	+	0.973408i	$0.573571\pi$
$338$	−7.25280	+	7.50456i	−0.394500	+	0.408194i
$339$			18.2487i			0.991133i
$340$	−12.8954	−	2.28155i	−0.699351	−	0.123735i
$341$		−	23.9256i		−	1.29564i
$342$	7.68621	+	7.42834i	0.415622	+	0.401679i
$343$	6.48943	−	4.33610i	0.350396	−	0.234127i
$344$	−3.44251	−	7.23940i	−0.185608	−	0.390322i
$345$	−4.83042	+	24.2841i	−0.260061	+	1.30741i
$346$	15.5156	+	2.81200i	0.834124	+	0.151174i
$347$	−0.808226	−	4.06323i	−0.0433878	−	0.218125i	0.953009	−	0.302943i	$-0.0979692\pi$
$347$	−0.808226	−	4.06323i	−0.0433878	−	0.218125i	−0.996396	+	0.0848177i	$0.972969\pi$
$348$	3.48051	+	7.65329i	0.186575	+	0.410259i
$349$	−10.7699	−	4.46102i	−0.576497	−	0.238793i	0.0753324	−	0.997158i	$-0.475998\pi$
$349$	−10.7699	−	4.46102i	−0.576497	−	0.238793i	−0.651829	+	0.758366i	$0.725998\pi$
$350$	−7.97398	−	11.5041i	−0.426227	−	0.614922i
$351$	2.61162	−	3.90857i	0.139398	−	0.208624i
$352$	3.86192	+	13.3476i	0.205841	+	0.711428i
$353$	−14.2069	−	14.2069i	−0.756155	−	0.756155i	0.219466	−	0.975620i	$-0.429569\pi$
$353$	−14.2069	−	14.2069i	−0.756155	−	0.756155i	−0.975620	+	0.219466i	$0.929569\pi$
$354$	12.3357	−	19.1613i	0.655633	−	1.01841i
$355$	−9.86382	+	4.08573i	−0.523517	+	0.216848i
$356$	0.915855	+	0.855401i	0.0485402	+	0.0453362i
$357$	26.6977	−	26.0185i	1.41299	−	1.37704i
$358$	4.47597	−	1.94411i	0.236563	−	0.102749i
$359$	7.57532	−	3.13780i	0.399810	−	0.165607i	−0.173713	−	0.984796i	$-0.555576\pi$
$359$	7.57532	−	3.13780i	0.399810	−	0.165607i	0.573523	+	0.819190i	$0.305576\pi$
$360$	−2.33752	−	9.24990i	−0.123198	−	0.487512i
$361$	4.48098	−	4.48098i	0.235841	−	0.235841i
$362$	18.8388	−	4.08252i	0.990144	−	0.214572i
$363$	−6.24590	+	9.34765i	−0.327825	+	0.490624i
$364$	−16.0964	−	9.97834i	−0.843681	−	0.523007i
$365$	8.66055	−	20.9084i	0.453314	−	1.09440i
$366$	28.3640	−	0.483903i	1.48261	−	0.0252940i
$367$	2.36264	+	11.8778i	0.123329	+	0.620017i	0.992167	+	0.124920i	$0.0398674\pi$
$367$	2.36264	+	11.8778i	0.123329	+	0.620017i	−0.868838	+	0.495097i	$0.835133\pi$
$368$	23.8977	+	13.7087i	1.24575	+	0.714618i
$369$	10.4424	+	2.07713i	0.543612	+	0.108131i
$370$	12.9727	+	5.11599i	0.674417	+	0.265967i
$371$	11.3952	−	7.61400i	0.591607	−	0.395299i
$372$	41.2927	+	15.4759i	2.14093	+	0.802386i
$373$	−26.2968			−1.36160			−0.680798	−	0.732471i	$-0.738367\pi$
$373$	−26.2968			−1.36160			−0.680798	+	0.732471i	$0.738367\pi$
$374$	14.0357	−	2.85284i	0.725768	−	0.147517i
$375$			26.8822i			1.38819i
$376$	−0.587620	−	11.4722i	−0.0303042	−	0.591635i
$377$	−2.44596	−	3.66064i	−0.125974	−	0.188533i
$378$	−10.4197	−	4.10917i	−0.535930	−	0.211353i
$379$	1.94490	−	9.77769i	0.0999030	−	0.502246i	−0.898140	−	0.439710i	$-0.855081\pi$
$379$	1.94490	−	9.77769i	0.0999030	−	0.502246i	0.998043	−	0.0625360i	$-0.0199188\pi$
$380$	11.0036	−	2.58183i	0.564471	−	0.132445i
$381$	1.25264	−	0.249165i	0.0641745	−	0.0127651i
$382$	0.529073	+	31.0116i	0.0270697	+	1.58669i
$383$	10.5148	+	4.35536i	0.537280	+	0.222549i	0.634788	−	0.772686i	$-0.281087\pi$
$383$	10.5148	+	4.35536i	0.537280	+	0.222549i	−0.0975084	+	0.995235i	$0.531087\pi$
$384$	−25.5343	−	1.96844i	−1.30304	−	0.100452i
$385$	−12.9551	−	8.65629i	−0.660251	−	0.441166i
$386$	1.90224	−	0.412232i	0.0968217	−	0.0209821i
$387$	−4.25668	−	4.25668i	−0.216379	−	0.216379i
$388$	−3.02091	+	18.4573i	−0.153363	+	0.937026i
$389$	−7.68665	−	18.5572i	−0.389729	−	0.940889i	−0.989997	−	0.141090i	$-0.954939\pi$
$389$	−7.68665	−	18.5572i	−0.389729	−	0.940889i	0.600268	−	0.799799i	$-0.295061\pi$
$390$	4.80150	+	11.0546i	0.243134	+	0.559773i
$391$	16.0802	−	23.4072i	0.813211	−	1.18375i
$392$	−8.48216	+	23.8631i	−0.428414	+	1.20527i
$393$	−17.3147	−	41.8013i	−0.873409	−	2.10860i
$394$	8.07345	−	12.5407i	0.406734	−	0.631792i
$395$	14.2675	−	14.2675i	0.717874	−	0.717874i
$396$	6.08973	+	8.47326i	0.306021	+	0.425797i
$397$	2.64896	+	1.76998i	0.132948	+	0.0888328i	0.620266	−	0.784392i	$-0.287025\pi$
$397$	2.64896	+	1.76998i	0.132948	+	0.0888328i	−0.487318	+	0.873225i	$0.662025\pi$
$398$	−21.3581	+	14.8041i	−1.07058	+	0.742065i
$399$	−12.3125	+	29.7251i	−0.616398	+	1.48812i
$400$	9.39478	+	3.15994i	0.469739	+	0.157997i
$401$	−25.1811	+	5.00882i	−1.25748	+	0.250129i	−0.778471	−	0.627680i	$-0.784005\pi$
$401$	−25.1811	+	5.00882i	−1.25748	+	0.250129i	−0.479011	+	0.877809i	$0.659005\pi$
$402$	−19.2743	−	3.49322i	−0.961317	−	0.174226i
$403$	−22.6480	−	4.50497i	−1.12818	−	0.224408i
$404$	0.348281	+	10.2043i	0.0173276	+	0.507682i
$405$	9.58220	+	14.3408i	0.476144	+	0.712599i
$406$	−7.29007	+	7.54313i	−0.361800	+	0.374359i
$407$	−15.2516			−0.755994
$408$	−4.15508	+	26.0692i	−0.205707	+	1.29062i
$409$	6.70044			0.331316			0.165658	−	0.986183i	$-0.447025\pi$
$409$	6.70044			0.331316			0.165658	+	0.986183i	$0.447025\pi$
$410$	7.82355	−	8.09513i	0.386377	−	0.399790i
$411$	3.84669	+	5.75699i	0.189743	+	0.283971i
$412$	−0.529895	+	0.0180858i	−0.0261060	+	0.000891021i
$413$	27.8873	+	5.54714i	1.37225	+	0.272957i
$414$	20.3577	+	3.68956i	1.00052	+	0.181332i
$415$	−26.9849	+	5.36763i	−1.32464	+	0.263486i
$416$	13.3620	−	1.14247i	0.655125	−	0.0560142i
$417$	7.70055	−	18.5908i	0.377097	−	0.910393i
$418$	−10.1595	+	7.04194i	−0.496916	+	0.344433i
$419$	5.44403	+	3.63759i	0.265958	+	0.177708i	0.681398	−	0.731913i	$-0.261372\pi$
$419$	5.44403	+	3.63759i	0.265958	+	0.177708i	−0.415440	+	0.909621i	$0.636372\pi$
$420$	23.3195	−	16.7597i	1.13787	−	0.817789i
$421$	21.5388	−	21.5388i	1.04973	−	1.04973i	0.0510380	−	0.998697i	$-0.483747\pi$
$421$	21.5388	−	21.5388i	1.04973	−	1.04973i	0.998697	−	0.0510380i	$-0.0162530\pi$
$422$	1.43327	−	2.22633i	0.0697703	−	0.108376i
$423$	−3.30121	−	7.96981i	−0.160510	−	0.387506i
$424$	−3.25034	+	9.14426i	−0.157850	+	0.444084i
$425$	4.03117	−	9.38814i	0.195541	−	0.455392i
$426$	8.57399	+	19.7401i	0.415411	+	0.956412i
$427$	13.5452	+	32.7009i	0.655497	+	1.58251i
$428$	−10.3648	−	1.69641i	−0.501001	−	0.0819991i
$429$	−9.32081	−	9.32081i	−0.450013	−	0.450013i
$430$	−6.22082	+	1.34810i	−0.299994	+	0.0650113i
$431$	17.7741	+	11.8762i	0.856146	+	0.572059i	0.904356	−	0.426779i	$-0.140352\pi$
$431$	17.7741	+	11.8762i	0.856146	+	0.572059i	−0.0482099	+	0.998837i	$0.515352\pi$
$432$	7.65547	−	2.07415i	0.368324	−	0.0997925i
$433$	6.61056	+	2.73819i	0.317683	+	0.131589i	0.535827	−	0.844328i	$-0.320000\pi$
$433$	6.61056	+	2.73819i	0.317683	+	0.131589i	−0.218143	+	0.975917i	$0.570000\pi$
$434$	0.938546	+	55.0129i	0.0450516	+	2.64071i
$435$	6.54766	−	1.30241i	0.313936	−	0.0624458i
$436$	4.46466	+	19.0280i	0.213818	+	0.911277i
$437$	−4.78159	+	24.0387i	−0.228735	+	1.14993i
$438$	−42.4389	−	16.7365i	−2.02781	−	0.799699i
$439$	−3.66708	−	5.48817i	−0.175020	−	0.261936i	0.733580	−	0.679603i	$-0.237848\pi$
$439$	−3.66708	−	5.48817i	−0.175020	−	0.261936i	−0.908600	+	0.417667i	$0.862848\pi$
$440$	11.0188	−	0.564395i	0.525301	−	0.0269065i
$441$			19.0186i			0.905647i
$442$	−0.0577131	−	13.8234i	−0.00274513	−	0.657510i
$443$	−0.0876330			−0.00416357			−0.00208179	−	0.999998i	$-0.500663\pi$
$443$	−0.0876330			−0.00416357			−0.00208179	+	0.999998i	$0.500663\pi$
$444$	9.86524	−	26.3224i	0.468183	−	1.24921i
$445$	0.827387	−	0.552843i	0.0392219	−	0.0262072i
$446$	−17.7407	−	6.99635i	−0.840048	−	0.331287i
$447$	27.0772	+	5.38598i	1.28071	+	0.254748i
$448$	−9.40342	−	30.5390i	−0.444270	−	1.44283i
$449$	−7.14374	−	35.9140i	−0.337134	−	1.69489i	−0.662308	−	0.749232i	$-0.730423\pi$
$449$	−7.14374	−	35.9140i	−0.337134	−	1.69489i	0.325174	−	0.945654i	$-0.394577\pi$
$450$	7.44240	−	0.126971i	0.350838	−	0.00598545i
$451$	−4.71185	+	11.3754i	−0.221872	+	0.535647i
$452$	8.49516	−	13.7038i	0.399578	−	0.644575i
$453$	−12.9003	+	19.3067i	−0.606110	+	0.907108i
$454$	28.7389	−	6.22796i	1.34878	−	0.292293i
$455$	−10.6334	+	10.6334i	−0.498500	+	0.498500i
$456$	−5.58207	−	22.0890i	−0.261404	−	1.03441i
$457$	−6.50023	+	2.69248i	−0.304068	+	0.125949i	−0.529500	−	0.848310i	$-0.677621\pi$
$457$	−6.50023	+	2.69248i	−0.304068	+	0.125949i	0.225432	+	0.974259i	$0.427621\pi$
$458$	−32.6845	+	14.1963i	−1.52725	+	0.663349i
$459$	−1.49154	−	8.03837i	−0.0696190	−	0.375199i
$460$	14.9322	−	15.9875i	0.696217	−	0.745421i
$461$	12.8491	−	5.32227i	0.598442	−	0.247883i	−0.0628356	−	0.998024i	$-0.520014\pi$
$461$	12.8491	−	5.32227i	0.598442	−	0.247883i	0.661278	+	0.750141i	$0.270014\pi$
$462$	−17.0014	+	26.4087i	−0.790975	+	1.22864i
$463$	7.89732	+	7.89732i	0.367019	+	0.367019i	0.866389	−	0.499370i	$-0.166435\pi$
$463$	7.89732	+	7.89732i	0.367019	+	0.367019i	−0.499370	+	0.866389i	$0.666435\pi$
$464$	0.949079	−	7.36749i	0.0440599	−	0.342027i
$465$	19.4534	−	29.1141i	0.902131	−	1.35014i
$466$	−1.86592	−	2.69198i	−0.0864370	−	0.124703i
$467$	−20.6714	−	8.56237i	−0.956557	−	0.396219i	−0.150866	−	0.988554i	$-0.548206\pi$
$467$	−20.6714	−	8.56237i	−0.956557	−	0.396219i	−0.805692	+	0.592335i	$0.798206\pi$
$468$	9.16743	−	4.16911i	0.423765	−	0.192717i
$469$	−4.76812	−	23.9710i	−0.220171	−	1.10688i
$470$	−8.97516	−	1.62663i	−0.413993	−	0.0750308i
$471$	8.42303	−	42.3454i	0.388113	−	1.95117i
$472$	−18.1834	+	8.64666i	−0.836961	+	0.397995i
$473$	5.78837	−	3.86766i	0.266149	−	0.177835i
$474$	−29.2468	−	28.2656i	−1.34335	−	1.29828i
$475$			8.81794i			0.404595i
$476$	−32.1608	+	7.11022i	−1.47409	+	0.325896i
$477$			7.28787i			0.333689i
$478$	−11.0301	+	11.4130i	−0.504503	+	0.522016i
$479$	−13.6534	+	9.12292i	−0.623841	+	0.416837i	−0.826916	−	0.562326i	$-0.809907\pi$
$479$	−13.6534	+	9.12292i	−0.623841	+	0.416837i	0.203075	+	0.979163i	$0.434907\pi$
$480$	−6.15324	+	19.3822i	−0.280856	+	0.884672i
$481$	−2.87173	+	14.4372i	−0.130940	+	0.658279i
$482$	1.41796	−	7.82382i	0.0645865	−	0.356365i
$483$	12.1492	+	61.0779i	0.552806	+	2.77914i
$484$	9.04188	−	4.11201i	0.410995	−	0.186910i
$485$	13.7204	+	5.68317i	0.623011	+	0.258060i
$486$	21.6604	−	15.0137i	0.982535	−	0.681035i
$487$	1.02911	−	1.54017i	0.0466334	−	0.0697918i	−0.807420	−	0.589977i	$-0.799137\pi$
$487$	1.02911	−	1.54017i	0.0466334	−	0.0697918i	0.854054	+	0.520185i	$0.174137\pi$
$488$	−21.5252	−	12.8407i	−0.974400	−	0.581270i
$489$	−5.64813	−	5.64813i	−0.255417	−	0.255417i
$490$	16.9087	+	10.8855i	0.763859	+	0.491757i
$491$	−8.00880	+	3.31735i	−0.361432	+	0.149710i	−0.556007	−	0.831178i	$-0.687667\pi$
$491$	−8.00880	+	3.31735i	−0.361432	+	0.149710i	0.194575	+	0.980888i	$0.437667\pi$
$492$	−16.5848	−	15.4901i	−0.747701	−	0.698346i
$493$	−7.48999	−	1.59043i	−0.337332	−	0.0716295i
$494$	4.75297	+	10.9429i	0.213846	+	0.492344i
$495$	7.65481	−	3.17073i	0.344058	−	0.142514i
$496$	−23.8044	−	30.8442i	−1.06885	−	1.38495i
$497$	−18.9879	+	18.9879i	−0.851723	+	0.851723i
$498$	11.7464	+	54.2037i	0.526368	+	2.42892i
$499$	15.5586	−	23.2852i	0.696501	−	1.04239i	−0.299592	−	0.954068i	$-0.596850\pi$
$499$	15.5586	−	23.2852i	0.696501	−	1.04239i	0.996092	−	0.0883192i	$-0.0281496\pi$
$500$	12.5142	−	20.1871i	0.559653	−	0.902796i
$501$	−11.0392	+	26.6509i	−0.493194	+	1.19068i
$502$	−0.379710	−	22.2567i	−0.0169473	−	0.993367i
$503$	−1.42171	−	7.14743i	−0.0633910	−	0.318688i	0.936059	−	0.351842i	$-0.114445\pi$
$503$	−1.42171	−	7.14743i	−0.0633910	−	0.318688i	−0.999450	+	0.0331543i	$0.989445\pi$
$504$	−14.3347	−	19.2440i	−0.638518	−	0.857194i
$505$	7.95157	+	1.58167i	0.353840	+	0.0703832i
$506$	−8.77768	+	22.2577i	−0.390215	+	0.989475i
$507$	13.8897	−	9.28083i	0.616865	−	0.412176i
$508$	−1.05666	−	0.396019i	−0.0468816	−	0.0175705i
$509$	21.5629			0.955760			0.477880	−	0.878425i	$-0.341405\pi$
$509$	21.5629			0.955760			0.477880	+	0.878425i	$0.341405\pi$
$510$	19.3991	+	7.94063i	0.859005	+	0.351617i
$511$		−	56.9203i		−	2.51801i
$512$	18.2586	+	13.3650i	0.806925	+	0.590654i
$513$	3.92013	+	5.86688i	0.173078	+	0.259029i
$514$	−2.10824	+	5.34590i	−0.0929906	+	0.235797i
$515$	−0.0821337	+	0.412914i	−0.00361924	+	0.0181952i
$516$	2.93102	+	12.4917i	0.129031	+	0.549919i
$517$	9.78432	−	1.94622i	0.430314	−	0.0855947i
$518$	35.0685	−	0.598285i	1.54082	−	0.0262871i
$519$	−23.3181	−	9.65866i	−1.02355	−	0.423968i
$520$	1.54048	−	10.5367i	0.0675545	−	0.462064i
$521$	4.85313	+	3.24276i	0.212619	+	0.142068i	0.657320	−	0.753611i	$-0.271690\pi$
$521$	4.85313	+	3.24276i	0.212619	+	0.142068i	−0.444701	+	0.895679i	$0.646690\pi$
$522$	−1.18146	−	5.45185i	−0.0517111	−	0.238621i
$523$	−0.928399	−	0.928399i	−0.0405961	−	0.0405961i	0.686517	−	0.727113i	$-0.259139\pi$
$523$	−0.928399	−	0.928399i	−0.0405961	−	0.0405961i	−0.727113	+	0.686517i	$0.759139\pi$
$524$	−6.45696	+	39.4510i	−0.282074	+	1.72342i
$525$	8.57394	+	20.6993i	0.374197	+	0.903392i
$526$	17.6474	−	7.66502i	0.769462	−	0.334211i
$527$	−33.6772	+	21.8801i	−1.46700	+	0.953112i
$528$	−1.51643	−	22.1891i	−0.0659941	−	0.965655i
$529$	9.35256	+	22.5791i	0.406633	+	0.981699i
$530$	6.47938	+	4.17129i	0.281446	+	0.181189i
$531$	−10.6916	+	10.6916i	−0.463978	+	0.463978i
$532$	23.0838	−	16.5903i	1.00081	−	0.719281i
$533$	9.88077	+	6.60212i	0.427984	+	0.285970i
$534$	−1.14271	−	1.64860i	−0.0494498	−	0.0713417i
$535$	−3.19142	+	7.70477i	−0.137977	+	0.333106i
$536$	12.8479	+	11.5959i	0.554944	+	0.500864i
$537$	−7.66091	+	1.52385i	−0.330593	+	0.0657590i
$538$	−0.343693	+	1.89637i	−0.0148176	+	0.0817584i
$539$	−21.5713	−	4.29080i	−0.929141	−	0.184818i
$540$	−0.214828	−	6.29426i	−0.00924473	−	0.270862i
$541$	−20.1913	−	30.2184i	−0.868092	−	1.29919i	−0.953052	−	0.302807i	$-0.902076\pi$
$541$	−20.1913	−	30.2184i	−0.868092	−	1.29919i	0.0849601	−	0.996384i	$-0.472924\pi$
$542$	1.19395	+	1.15390i	0.0512847	+	0.0495641i
$543$	−30.8538			−1.32406
$544$	15.2560	−	17.6424i	0.654097	−	0.756411i
$545$	15.5194			0.664777
$546$	21.7973	+	21.0660i	0.932837	+	0.901542i
$547$	−4.20366	−	6.29123i	−0.179736	−	0.268993i	0.730652	−	0.682750i	$-0.239216\pi$
$547$	−4.20366	−	6.29123i	−0.179736	−	0.268993i	−0.910387	+	0.413757i	$0.864216\pi$
$548$	−0.208673	−	6.11392i	−0.00891408	−	0.261174i
$549$	−18.4606	−	3.67204i	−0.787878	−	0.156719i
$550$	−1.53507	+	8.46997i	−0.0654556	+	0.361161i
$551$	6.48148	−	1.28925i	0.276120	−	0.0549238i
$552$	−32.7364	−	29.5462i	−1.39335	−	1.25757i
$553$	19.4206	−	46.8855i	0.825849	−	1.99378i
$554$	−20.7244	−	29.8993i	−0.880496	−	1.27030i
$555$	−18.5591	−	12.4008i	−0.787789	−	0.526384i
$556$	−14.4371	+	10.3760i	−0.612270	+	0.440038i
$557$	−26.1434	+	26.1434i	−1.10773	+	1.10773i	−0.114283	+	0.993448i	$0.536457\pi$
$557$	−26.1434	+	26.1434i	−1.10773	+	1.10773i	−0.993448	+	0.114283i	$0.963543\pi$
$558$	−24.6014	−	15.8379i	−1.04146	−	0.670471i
$559$	−2.57124	−	6.20751i	−0.108752	−	0.262550i
$560$	−25.3137	+	1.72997i	−1.06970	+	0.0731047i
$561$	−22.9234	−	0.295356i	−0.967827	−	0.0124700i
$562$	−3.77057	+	1.63772i	−0.159052	+	0.0690831i
$563$	9.43760	+	22.7844i	0.397748	+	0.960248i	0.988199	+	0.153175i	$0.0489497\pi$
$563$	9.43760	+	22.7844i	0.397748	+	0.960248i	−0.590452	+	0.807073i	$0.701050\pi$
$564$	−2.96987	+	18.1454i	−0.125054	+	0.764060i
$565$	−9.05282	−	9.05282i	−0.380855	−	0.380855i
$566$	−2.06951	−	9.54977i	−0.0869881	−	0.401407i
$567$	36.0690	+	24.1006i	1.51476	+	1.01213i
$568$	2.75082	−	18.8152i	0.115422	−	0.789469i
$569$	21.6080	+	8.95034i	0.905856	+	0.375218i	0.786469	−	0.617630i	$-0.211907\pi$
$569$	21.6080	+	8.95034i	0.905856	+	0.375218i	0.119387	+	0.992848i	$0.461907\pi$
$570$	−18.0883	+	0.308595i	−0.757636	+	0.0129256i
$571$	7.43083	−	1.47808i	0.310971	−	0.0618559i	−0.0371378	−	0.999310i	$-0.511824\pi$
$571$	7.43083	−	1.47808i	0.310971	−	0.0618559i	0.348109	+	0.937454i	$0.386824\pi$
$572$	2.66042	+	11.3385i	0.111238	+	0.474086i
$573$	9.68533	−	48.6915i	0.404611	−	2.03411i
$574$	10.3879	−	26.3407i	0.433582	−	1.09944i
$575$	9.48219	+	14.1911i	0.395434	+	0.591810i
$576$	16.2810	+	4.86461i	0.678377	+	0.202692i
$577$		−	15.4426i		−	0.642884i	−0.946929	−	0.321442i	$-0.895832\pi$
$577$		−	15.4426i		−	0.642884i	0.946929	−	0.321442i	$-0.104168\pi$
$578$	−16.8513	−	17.1474i	−0.700922	−	0.713238i
$579$	−3.11546			−0.129474
$580$	−5.52326	−	2.07003i	−0.229341	−	0.0859534i
$581$	−57.5380	+	38.4456i	−2.38708	+	1.59499i
$582$	10.9827	−	27.8490i	0.455247	−	1.15438i
$583$	−8.26605	−	1.64422i	−0.342345	−	0.0680966i
$584$	24.0783	+	32.3244i	0.996366	+	1.33759i
$585$	−1.56008	−	7.84307i	−0.0645015	−	0.324271i
$586$	0.352991	+	20.6906i	0.0145819	+	0.854721i
$587$	−4.61264	+	11.1359i	−0.190384	+	0.459628i	−0.990032	−	0.140841i	$-0.955019\pi$
$587$	−4.61264	+	11.1359i	−0.190384	+	0.459628i	0.799648	+	0.600469i	$0.205019\pi$
$588$	21.3584	−	34.4540i	0.880806	−	1.42086i
$589$	19.2568	−	28.8199i	0.793463	−	1.18750i
$590$	3.38607	+	15.6250i	0.139402	+	0.643272i
$591$	−16.8808	+	16.8808i	−0.694382	+	0.694382i
$592$	−19.6620	+	15.1743i	−0.808101	+	0.623662i
$593$	27.8859	−	11.5507i	1.14514	−	0.474332i	0.272237	−	0.962230i	$-0.412236\pi$
$593$	27.8859	−	11.5507i	1.14514	−	0.474332i	0.872900	+	0.487898i	$0.162236\pi$
$594$	2.74410	+	6.31780i	0.112592	+	0.259223i
$595$	−0.336949	+	26.1515i	−0.0138136	+	1.07211i
$596$	−17.8263	−	16.6496i	−0.730193	−	0.681994i
$597$	38.4295	−	15.9180i	1.57281	−	0.651481i
$598$	19.4164	+	12.4999i	0.793995	+	0.511158i
$599$	11.1432	+	11.1432i	0.455299	+	0.455299i	0.897109	−	0.441810i	$-0.145663\pi$
$599$	11.1432	+	11.1432i	0.455299	+	0.455299i	−0.441810	+	0.897109i	$0.645663\pi$
$600$	−13.6252	−	8.12800i	−0.556247	−	0.331824i
$601$	−24.8557	+	37.1992i	−1.01389	+	1.51739i	−0.166759	+	0.985998i	$0.553330\pi$
$601$	−24.8557	+	37.1992i	−1.01389	+	1.51739i	−0.847127	+	0.531390i	$0.821670\pi$
$602$	−13.1577	+	9.12010i	−0.536266	+	0.371708i
$603$	12.0075	+	4.97367i	0.488984	+	0.202544i
$604$	18.6752	−	8.49298i	0.759882	−	0.345575i
$605$	−1.53872	−	7.73566i	−0.0625578	−	0.314499i
$606$	2.91444	−	16.0808i	0.118391	−	0.653239i
$607$	−2.44705	+	12.3021i	−0.0993225	+	0.499328i	0.898815	+	0.438328i	$0.144429\pi$
$607$	−2.44705	+	12.3021i	−0.0993225	+	0.499328i	−0.998138	+	0.0610004i	$0.980571\pi$
$608$	−6.09104	+	19.1863i	−0.247024	+	0.778106i
$609$	13.9611	−	9.32853i	0.565733	−	0.378011i
$610$	−13.8308	+	14.3109i	−0.559992	+	0.579431i
$611$		−	9.62830i		−	0.389519i
$612$	6.35769	−	16.3206i	0.256995	−	0.659722i
$613$			37.9509i			1.53282i	0.642351	+	0.766411i	$0.277959\pi$
$613$			37.9509i			1.53282i	−0.642351	+	0.766411i	$0.722041\pi$
$614$	−26.9659	−	26.0612i	−1.08826	−	1.05175i
$615$	−14.9828	+	10.0112i	−0.604164	+	0.403690i
$616$	25.0610	−	11.9171i	1.00973	−	0.480153i
$617$	−1.83441	+	9.22219i	−0.0738505	+	0.371272i	−0.999982	−	0.00592821i	$-0.998113\pi$
$617$	−1.83441	+	9.22219i	−0.0738505	+	0.371272i	0.926132	+	0.377200i	$0.123113\pi$
$618$	0.835056	+	0.151343i	0.0335909	+	0.00608790i
$619$	7.07536	+	35.5702i	0.284383	+	1.42969i	0.813710	+	0.581271i	$0.197444\pi$
$619$	7.07536	+	35.5702i	0.284383	+	1.42969i	−0.529328	+	0.848418i	$0.677556\pi$
$620$	−28.1618	+	12.8072i	−1.13100	+	0.514351i
$621$	12.6177	+	5.22641i	0.506329	+	0.209729i
$622$	5.43896	+	7.84683i	0.218082	+	0.314629i
$623$	1.39047	−	2.08099i	0.0557082	−	0.0833732i
$624$	−21.2897	−	2.74254i	−0.852271	−	0.109789i
$625$	−4.57470	−	4.57470i	−0.182988	−	0.182988i
$626$	3.25928	−	5.06273i	0.130267	−	0.202347i
$627$	18.2799	−	7.57178i	0.730028	−	0.302388i
$628$	−26.0380	+	27.8782i	−1.03903	+	1.11246i
$629$	13.9477	+	21.4679i	0.556130	+	0.855979i
$630$	−17.4766	+	7.59084i	−0.696284	+	0.302426i
$631$	−31.6304	+	13.1018i	−1.25919	+	0.521573i	−0.909660	−	0.415353i	$-0.863658\pi$
$631$	−31.6304	+	13.1018i	−1.25919	+	0.521573i	−0.349528	+	0.936926i	$0.613658\pi$
$632$	8.80462	+	34.8410i	0.350229	+	1.38590i
$633$	−2.99681	+	2.99681i	−0.119113	+	0.119113i
$634$	−16.5495	+	3.58641i	−0.657263	+	0.142434i
$635$	−0.497803	+	0.745015i	−0.0197547	+	0.0295650i
$636$	8.18447	−	13.2027i	0.324536	−	0.523520i
$637$	−8.12334	+	19.6115i	−0.321858	+	0.777035i
$638$	6.45015	−	0.110043i	0.255364	−	0.00435662i
$639$	−2.78582	−	14.0053i	−0.110205	−	0.554040i
$640$	13.6436	−	11.6906i	0.539310	−	0.462111i
$641$	41.0725	+	8.16982i	1.62226	+	0.322688i	0.920806	−	0.390022i	$-0.127532\pi$
$641$	41.0725	+	8.16982i	1.62226	+	0.322688i	0.701459	+	0.712710i	$0.252532\pi$
$642$	15.6388	+	6.16740i	0.617213	+	0.243408i
$643$	−12.8831	+	8.60823i	−0.508061	+	0.339475i	−0.783037	−	0.621976i	$-0.786330\pi$
$643$	−12.8831	+	8.60823i	−0.508061	+	0.339475i	0.274976	+	0.961451i	$0.411330\pi$
$644$	19.3097	−	51.5221i	0.760908	−	2.03026i
$645$	10.1883			0.401166
$646$	19.2030	+	7.86037i	0.755531	+	0.309262i
$647$		−	4.31868i		−	0.169785i	−0.996390	−	0.0848923i	$-0.972945\pi$
$647$		−	4.31868i		−	0.169785i	0.996390	−	0.0848923i	$-0.0270546\pi$
$648$	−30.6782	+	1.57137i	−1.20515	+	0.0617292i
$649$	−9.71454	−	14.5388i	−0.381329	−	0.570699i
$650$	7.72864	+	3.04791i	0.303142	+	0.119549i
$651$	17.1812	−	86.3760i	0.673386	−	3.38534i
$652$	1.61213	+	6.87078i	0.0631360	+	0.269081i
$653$	−16.4937	+	3.28079i	−0.645447	+	0.128387i	−0.506950	−	0.861975i	$-0.669227\pi$
$653$	−16.4937	+	3.28079i	−0.645447	+	0.128387i	−0.138497	+	0.990363i	$0.544227\pi$
$654$	−0.533641	−	31.2794i	−0.0208670	−	1.22312i
$655$	29.3263	+	12.1473i	1.14587	+	0.474636i
$656$	5.24340	+	19.3528i	0.204720	+	0.755601i
$657$	25.1675	+	16.8164i	0.981877	+	0.656070i
$658$	−22.4211	+	4.85883i	−0.874064	+	0.189417i
$659$	24.3424	+	24.3424i	0.948246	+	0.948246i	0.998725	−	0.0504793i	$-0.0160749\pi$
$659$	24.3424	+	24.3424i	0.948246	+	0.948246i	−0.0504793	+	0.998725i	$0.516075\pi$
$660$	−17.4282	−	2.85249i	−0.678394	−	0.111033i
$661$	13.8353	+	33.4013i	0.538130	+	1.29916i	0.926027	+	0.377457i	$0.123202\pi$
$661$	13.8353	+	33.4013i	0.538130	+	1.29916i	−0.387897	+	0.921703i	$0.626798\pi$
$662$	4.56913	+	10.5196i	0.177584	+	0.408857i
$663$	−4.59585	+	21.6437i	−0.178488	+	0.840572i
$664$	16.4120	−	46.1724i	0.636910	−	1.79184i
$665$	−8.63804	−	20.8541i	−0.334969	−	0.808686i
$666$	−10.0960	+	15.6824i	−0.391213	+	0.607681i
$667$	9.04457	−	9.04457i	0.350207	−	0.350207i
$668$	20.6964	−	14.8745i	0.800769	−	0.575512i
$669$	25.3804	+	16.9586i	0.981263	+	0.655659i
$670$	11.2945	−	7.82871i	0.436346	−	0.302449i
$671$	8.32980	−	20.1099i	0.321568	−	0.776335i
$672$	4.35720	+	50.9605i	0.168083	+	1.96585i
$673$	−37.1218	+	7.38398i	−1.43094	+	0.284631i	−0.848910	−	0.528537i	$-0.822741\pi$
$673$	−37.1218	+	7.38398i	−1.43094	+	0.284631i	−0.582028	+	0.813168i	$0.697741\pi$
$674$	−37.3610	−	6.77118i	−1.43909	−	0.260816i
$675$	4.81912	+	0.958583i	0.185488	+	0.0368959i
$676$	−14.7509	+	0.503461i	−0.567343	+	0.0193639i
$677$	−5.75120	−	8.60728i	−0.221037	−	0.330805i	0.704334	−	0.709869i	$-0.251246\pi$
$677$	−5.75120	−	8.60728i	−0.221037	−	0.330805i	−0.925370	+	0.379064i	$0.876246\pi$
$678$	−17.9347	+	18.5573i	−0.688780	+	0.712690i
$679$	37.3519			1.43343
$680$	−10.8712	−	14.9937i	−0.416891	−	0.574982i
$681$	−47.0681			−1.80366
$682$	23.5140	−	24.3303i	0.900398	−	0.931653i
$683$	−2.82528	−	4.22832i	−0.108106	−	0.161792i	0.773472	−	0.633831i	$-0.218518\pi$
$683$	−2.82528	−	4.22832i	−0.108106	−	0.161792i	−0.881578	+	0.472038i	$0.843518\pi$
$684$	0.515647	+	15.1080i	0.0197163	+	0.577667i
$685$	−4.76420	−	0.947658i	−0.182031	−	0.0362082i
$686$	10.8607	+	1.96836i	0.414663	+	0.0751522i
$687$	55.9415	−	11.1275i	2.13430	−	0.424539i
$688$	3.61413	−	10.7451i	0.137787	−	0.409654i
$689$	−3.11284	+	7.51506i	−0.118590	+	0.286301i
$690$	−28.7785	+	19.9475i	−1.09558	+	0.759390i
$691$	−1.80294	−	1.20468i	−0.0685870	−	0.0458283i	0.520804	−	0.853676i	$-0.325632\pi$
$691$	−1.80294	−	1.20468i	−0.0685870	−	0.0458283i	−0.589391	+	0.807848i	$0.700632\pi$
$692$	13.0144	+	18.1082i	0.494733	+	0.688372i
$693$	14.7355	−	14.7355i	0.559757	−	0.559757i
$694$	3.17143	−	4.92627i	0.120386	−	0.186999i
$695$	5.40243	+	13.0426i	0.204926	+	0.494734i
$696$	−3.98225	+	11.2034i	−0.150947	+	0.424662i
$697$	20.3208	−	3.77057i	0.769705	−	0.142821i
$698$	−6.56772	−	15.1210i	−0.248592	−	0.572340i
$699$	2.00631	+	4.84366i	0.0758856	+	0.183204i
$700$	3.19738	−	19.5355i	0.120850	−	0.738372i
$701$	−29.0858	−	29.0858i	−1.09856	−	1.09856i	−0.994580	−	0.103977i	$-0.966843\pi$
$701$	−29.0858	−	29.0858i	−1.09856	−	1.09856i	−0.103977	−	0.994580i	$-0.533157\pi$
$702$	6.49712	−	1.40798i	0.245218	−	0.0531408i
$703$	−18.3715	−	12.2754i	−0.692894	−	0.462977i
$704$	−9.19072	+	17.3688i	−0.346388	+	0.654611i
$705$	13.4886	+	5.58715i	0.508009	+	0.210424i
$706$	−0.484680	−	28.4096i	−0.0182412	−	1.06921i
$707$	19.9993	−	3.97810i	0.752150	−	0.149612i
$708$	31.3759	−	7.36193i	1.17918	−	0.276678i
$709$	2.89581	−	14.5582i	0.108754	−	0.546745i	−0.887540	−	0.460731i	$-0.847587\pi$
$709$	2.89581	−	14.5582i	0.108754	−	0.546745i	0.996294	−	0.0860136i	$-0.0274128\pi$
$710$	−14.0461	−	5.53930i	−0.527140	−	0.207886i
$711$	14.9930	+	22.4386i	0.562282	+	0.841514i
$712$	0.0906597	+	1.76997i	0.00339762	+	0.0663323i
$713$		−	67.0885i		−	2.51248i
$714$	52.7201	−	0.220109i	1.97300	−	0.00823736i
$715$	9.24775			0.345846
$716$	6.46234	+	2.42198i	0.241509	+	0.0905137i
$717$	21.1235	−	14.1143i	0.788873	−	0.527108i
$718$	10.7873	+	4.25413i	0.402577	+	0.158763i
$719$	17.5647	+	3.49383i	0.655052	+	0.130298i	0.511417	−	0.859333i	$-0.329121\pi$
$719$	17.5647	+	3.49383i	0.655052	+	0.130298i	0.143635	+	0.989631i	$0.454121\pi$
$720$	6.71371	−	11.7036i	0.250205	−	0.436169i
$721$	0.206578	+	1.03854i	0.00769335	+	0.0386771i
$722$	8.96066	−	0.152873i	0.333481	−	0.00568934i
$723$	−4.87043	+	11.7583i	−0.181133	+	0.437294i
$724$	23.1697	+	14.3631i	0.861094	+	0.533801i
$725$	2.55665	−	3.82630i	0.0949518	−	0.142105i
$726$	−15.5384	+	3.36729i	−0.576683	+	0.124972i
$727$	−9.14200	+	9.14200i	−0.339058	+	0.339058i	−0.856013	−	0.516955i	$-0.827066\pi$
$727$	−9.14200	+	9.14200i	−0.339058	+	0.339058i	0.516955	+	0.856013i	$0.327066\pi$
$728$	−6.56197	−	25.9666i	−0.243203	−	0.962386i
$729$	−8.87181	+	3.67482i	−0.328585	+	0.136105i
$730$	29.3557	−	12.7505i	1.08650	−	0.471916i
$731$	−10.7375	−	4.61058i	−0.397142	−	0.170529i
$732$	29.3193	+	27.3840i	1.08367	+	1.01214i
$733$	−12.0200	+	4.97884i	−0.443968	+	0.183898i	−0.593457	−	0.804866i	$-0.702237\pi$
$733$	−12.0200	+	4.97884i	−0.443968	+	0.183898i	0.149489	+	0.988763i	$0.452237\pi$
$734$	−9.27087	+	14.4007i	−0.342194	+	0.531539i
$735$	−22.7605	−	22.7605i	−0.839533	−	0.839533i
$736$	10.8290	+	37.4272i	0.399162	+	1.37958i
$737$	−8.35027	+	12.4971i	−0.307586	+	0.460335i
$738$	8.57765	+	12.3751i	0.315748	+	0.455532i
$739$	−27.1906	−	11.2627i	−1.00022	−	0.414305i	−0.178343	−	0.983968i	$-0.557074\pi$
$739$	−27.1906	−	11.2627i	−1.00022	−	0.414305i	−0.821878	+	0.569663i	$0.807074\pi$
$740$	8.16410	+	17.9520i	0.300118	+	0.659929i
$741$	−3.72552	−	18.7294i	−0.136860	−	0.688043i
$742$	19.0709	+	3.45635i	0.700115	+	0.126887i
$743$	1.16420	−	5.85282i	0.0427103	−	0.214719i	−0.953536	−	0.301278i	$-0.902587\pi$
$743$	1.16420	−	5.85282i	0.0427103	−	0.214719i	0.996247	+	0.0865584i	$0.0275869\pi$
$744$	26.7815	+	56.3199i	0.981856	+	2.06479i
$745$	−16.1043	+	10.7606i	−0.590017	+	0.394237i
$746$	−26.7415	−	25.8444i	−0.979077	−	0.946231i
$747$		−	36.7989i		−	1.34640i
$748$	17.0768	+	10.8931i	0.624391	+	0.398292i
$749$			20.9752i			0.766417i
$750$	−26.4197	+	27.3368i	−0.964711	+	0.998199i
$751$	−4.76539	+	3.18413i	−0.173891	+	0.116191i	−0.639470	−	0.768816i	$-0.720846\pi$
$751$	−4.76539	+	3.18413i	−0.173891	+	0.116191i	0.465579	+	0.885007i	$0.345846\pi$
$752$	10.6773	−	12.2438i	0.389361	−	0.446484i
$753$	−6.95107	+	34.9454i	−0.253311	+	1.27348i
$754$	1.11034	−	6.12644i	0.0404361	−	0.223112i
$755$	−3.17808	−	15.9773i	−0.115662	−	0.581473i
$756$	−6.55742	−	14.4191i	−0.238491	−	0.524417i
$757$	5.74019	+	2.37766i	0.208631	+	0.0864177i	0.484552	−	0.874763i	$-0.338983\pi$
$757$	5.74019	+	2.37766i	0.208631	+	0.0864177i	−0.275921	+	0.961180i	$0.588983\pi$
$758$	11.5873	−	8.03161i	0.420869	−	0.291721i
$759$	21.2765	−	31.8425i	0.772287	−	1.15581i
$760$	13.7271	+	8.18876i	0.497933	+	0.297038i
$761$	34.6524	+	34.6524i	1.25615	+	1.25615i	0.952917	+	0.303231i	$0.0980654\pi$
$761$	34.6524	+	34.6524i	1.25615	+	1.25615i	0.303231	+	0.952917i	$0.401935\pi$
$762$	1.51870	+	0.977708i	0.0550167	+	0.0354186i
$763$	36.0621	−	14.9374i	1.30554	−	0.540771i
$764$	−29.9401	+	32.0561i	−1.08320	+	1.15975i
$765$	−11.4634	−	7.87511i	−0.414461	−	0.284725i
$766$	6.41217	+	14.7629i	0.231681	+	0.533406i
$767$	−15.5916	+	6.45826i	−0.562981	+	0.233194i
$768$	−24.0316	−	27.0968i	−0.867165	−	0.977771i
$769$	−20.7436	+	20.7436i	−0.748035	+	0.748035i	−0.974110	−	0.226075i	$-0.927410\pi$
$769$	−20.7436	+	20.7436i	−0.748035	+	0.748035i	0.226075	+	0.974110i	$0.427410\pi$
$770$	−4.66679	−	21.5349i	−0.168179	−	0.776063i
$771$	5.11023	−	7.64799i	0.184040	−	0.275436i
$772$	2.33956	+	1.45032i	0.0842025	+	0.0521980i
$773$	15.5416	−	37.5208i	0.558994	−	1.34953i	−0.351570	−	0.936162i	$-0.614352\pi$
$773$	15.5416	−	37.5208i	0.558994	−	1.34953i	0.910564	−	0.413369i	$-0.135648\pi$
$774$	−0.145221	−	8.51212i	−0.00521985	−	0.305962i
$775$	−4.70884	−	23.6729i	−0.169146	−	0.850357i
$776$	−21.2117	+	15.8005i	−0.761457	+	0.567205i
$777$	−55.0612	−	10.9524i	−1.97531	−	0.392913i
$778$	10.4213	−	26.4255i	0.373622	−	0.947400i
$779$	−14.8313	+	9.90999i	−0.531388	+	0.355062i
$780$	−5.98174	+	15.9605i	−0.214181	+	0.571477i
$781$	16.5136			0.590903
$782$	39.3567	−	7.99949i	1.40739	−	0.286061i
$783$		−	3.68237i		−	0.131597i
$784$	−32.0782	+	15.9304i	−1.14565	+	0.568944i
$785$	16.8282	+	25.1852i	0.600626	+	0.898900i
$786$	23.4747	−	59.5250i	0.837314	−	2.12319i
$787$	−6.57472	+	33.0533i	−0.234363	+	1.17822i	0.666965	+	0.745089i	$0.267593\pi$
$787$	−6.57472	+	33.0533i	−0.234363	+	1.17822i	−0.901329	+	0.433136i	$0.857407\pi$
$788$	20.5350	−	4.81824i	0.731527	−	0.171643i
$789$	−30.2046	+	6.00806i	−1.07531	+	0.213893i
$790$	28.5308	−	0.486748i	1.01508	−	0.0173177i
$791$	−29.7492	−	12.3225i	−1.05776	−	0.438139i
$792$	−2.13477	+	14.6015i	−0.0758557	+	0.518843i
$793$	−17.4676	−	11.6715i	−0.620294	−	0.414467i
$794$	0.954233	+	4.40331i	0.0338644	+	0.156267i
$795$	−8.72175	−	8.72175i	−0.309329	−	0.309329i
$796$	−36.2688	−	5.93612i	−1.28551	−	0.210400i
$797$	3.63700	+	8.78050i	0.128829	+	0.311021i	0.975112	−	0.221713i	$-0.0711647\pi$
$797$	3.63700	+	8.78050i	0.128829	+	0.311021i	−0.846283	+	0.532734i	$0.821165\pi$
$798$	−41.7345	+	18.1271i	−1.47739	+	0.641693i
$799$	−11.6873	−	11.9924i	−0.413466	−	0.424260i
$800$	6.44809	+	12.4465i	0.227974	+	0.440052i
$801$	0.509319	+	1.22961i	0.0179959	+	0.0434460i
$802$	−30.5296	−	19.6543i	−1.07804	−	0.694018i
$803$	−24.7515	+	24.7515i	−0.873463	+	0.873463i
$804$	−16.1672	−	22.4951i	−0.570173	−	0.793339i
$805$	−36.3265	−	24.2726i	−1.28034	−	0.855498i
$806$	−18.6036	−	26.8395i	−0.655283	−	0.945382i
$807$	1.18052	−	2.85002i	0.0415562	−	0.100325i
$808$	−9.67457	+	10.7192i	−0.340350	+	0.377099i
$809$	−19.9757	+	3.97341i	−0.702308	+	0.139698i	−0.533311	−	0.845919i	$-0.679053\pi$
$809$	−19.9757	+	3.97341i	−0.702308	+	0.139698i	−0.168996	+	0.985617i	$0.554053\pi$
$810$	−4.34981	+	24.0007i	−0.152837	+	0.843298i
$811$	−43.7391	−	8.70024i	−1.53589	−	0.305507i	−0.646590	−	0.762838i	$-0.723805\pi$
$811$	−43.7391	−	8.70024i	−1.53589	−	0.305507i	−0.889296	+	0.457331i	$0.848805\pi$
$812$	−14.8267	+	0.506049i	−0.520316	+	0.0177588i
$813$	−1.47655	−	2.20981i	−0.0517849	−	0.0775016i
$814$	−15.5096	−	14.9892i	−0.543610	−	0.525372i
$815$	5.60385			0.196294
$816$	−29.8461	+	22.4265i	−1.04482	+	0.785085i
$817$	10.0854			0.352842
$818$	6.81376	+	6.58517i	0.238238	+	0.230245i
$819$	−11.1741	−	16.7232i	−0.390455	−	0.584357i
$820$	15.9117	−	0.543081i	0.555662	−	0.0189652i
$821$	−46.0889	−	9.16766i	−1.60851	−	0.319953i	−0.692599	−	0.721323i	$-0.743534\pi$
$821$	−46.0889	−	9.16766i	−1.60851	−	0.319953i	−0.915916	+	0.401370i	$0.868534\pi$
$822$	−1.74619	+	9.63487i	−0.0609055	+	0.336055i
$823$	−49.8672	+	9.91920i	−1.73826	+	0.345762i	−0.959532	−	0.281599i	$-0.909135\pi$
$823$	−49.8672	+	9.91920i	−1.73826	+	0.345762i	−0.778729	+	0.627360i	$0.784135\pi$
$824$	−0.556631	−	0.502387i	−0.0193912	−	0.0175015i
$825$	5.27267	−	12.7293i	0.183571	−	0.443179i
$826$	22.9073	+	33.0485i	0.797046	+	1.14991i
$827$	−4.87246	−	3.25567i	−0.169432	−	0.113211i	0.467963	−	0.883748i	$-0.344988\pi$
$827$	−4.87246	−	3.25567i	−0.169432	−	0.113211i	−0.637395	+	0.770537i	$0.719988\pi$
$828$	17.0759	+	23.7594i	0.593428	+	0.825696i
$829$	−1.74130	+	1.74130i	−0.0604779	+	0.0604779i	−0.736699	−	0.676221i	$-0.763616\pi$
$829$	−1.74130	+	1.74130i	−0.0604779	+	0.0604779i	0.676221	+	0.736699i	$0.263616\pi$
$830$	−32.7165	−	21.0622i	−1.13561	−	0.731081i
$831$	22.2837	+	53.7976i	0.773013	+	1.86622i
$832$	14.7108	+	11.9703i	0.510005	+	0.414996i
$833$	13.6874	+	34.2872i	0.474241	+	1.18798i
$834$	26.1017	−	11.3371i	0.903829	−	0.392572i
$835$	−7.74469	−	18.6973i	−0.268016	−	0.647048i
$836$	−17.2521	−	2.82366i	−0.596676	−	0.0976582i
$837$	−13.6571	−	13.6571i	−0.472057	−	0.472057i
$838$	1.96110	+	9.04949i	0.0677450	+	0.312609i
$839$	−25.9855	−	17.3630i	−0.897120	−	0.599436i	0.0192301	−	0.999815i	$-0.493878\pi$
$839$	−25.9855	−	17.3630i	−0.897120	−	0.599436i	−0.916350	+	0.400379i	$0.868878\pi$
$840$	40.1852	+	5.87515i	1.38652	+	0.202712i
$841$	23.6062	+	9.77803i	0.814008	+	0.337173i
$842$	43.0712	−	0.734815i	1.48433	−	0.0253234i
$843$	6.45356	−	1.28369i	0.222272	−	0.0442127i
$844$	3.64554	−	0.855375i	0.125485	−	0.0294432i
$845$	−2.28639	+	11.4945i	−0.0786543	+	0.395422i
$846$	4.47567	−	11.3490i	0.153877	−	0.390187i
$847$	−11.0211	−	16.4942i	−0.378688	−	0.566747i
$848$	−12.2923	+	6.10449i	−0.422118	+	0.209629i
$849$			15.6404i			0.536779i
$850$	13.3260	−	5.58510i	0.457077	−	0.191567i
$851$	−42.7662			−1.46601
$852$	−10.6815	+	28.5005i	−0.365943	+	0.976410i
$853$	29.0938	−	19.4398i	0.996152	−	0.665608i	0.0532168	−	0.998583i	$-0.483053\pi$
$853$	29.0938	−	19.4398i	0.996152	−	0.665608i	0.942936	+	0.332975i	$0.108053\pi$
$854$	−18.3641	+	46.5661i	−0.628407	+	1.59346i
$855$	11.7727	+	2.34173i	0.402617	+	0.0800856i
$856$	−8.87286	−	11.9116i	−0.303268	−	0.407130i
$857$	4.73913	+	23.8252i	0.161886	+	0.813854i	0.973327	+	0.229421i	$0.0736831\pi$
$857$	4.73913	+	23.8252i	0.161886	+	0.813854i	−0.811442	+	0.584433i	$0.801317\pi$
$858$	−0.317988	−	18.6389i	−0.0108559	−	0.636322i
$859$	8.98480	−	21.6912i	0.306557	−	0.740095i	−0.693254	−	0.720693i	$-0.743824\pi$
$859$	8.98480	−	21.6912i	0.306557	−	0.740095i	0.999812	−	0.0194021i	$-0.00617627\pi$
$860$	−7.65094	−	4.74289i	−0.260895	−	0.161731i
$861$	−25.1795	+	37.6837i	−0.858114	+	1.28426i
$862$	6.40273	+	29.5454i	0.218078	+	1.00632i
$863$	39.7230	−	39.7230i	1.35219	−	1.35219i	0.468979	−	0.883210i	$-0.344622\pi$
$863$	39.7230	−	39.7230i	1.35219	−	1.35219i	0.883210	−	0.468979i	$-0.155378\pi$
$864$	9.82341	+	5.41454i	0.334199	+	0.184206i
$865$	16.3591	−	6.77617i	0.556227	−	0.230397i
$866$	4.03129	+	9.28133i	0.136989	+	0.315393i
$867$	20.5478	+	32.5366i	0.697841	+	1.10500i
$868$	−53.1121	+	56.8657i	−1.80274	+	1.93015i
$869$	−28.8329	+	11.9430i	−0.978090	+	0.405138i
$870$	7.93841	+	5.11058i	0.269137	+	0.173265i
$871$	10.2574	+	10.2574i	0.347560	+	0.347560i
$872$	−14.1605	+	23.7377i	−0.479535	+	0.803859i
$873$	−11.0351	+	16.5153i	−0.373483	+	0.558957i
$874$	−28.4876	+	19.7459i	−0.963608	+	0.667915i
$875$	−43.8236	−	18.1523i	−1.48151	−	0.613661i
$876$	−26.7081	−	58.7283i	−0.902382	−	1.98424i
$877$	0.834949	+	4.19757i	0.0281942	+	0.141742i	0.992318	−	0.123709i	$-0.0394790\pi$
$877$	0.834949	+	4.19757i	0.0281942	+	0.141742i	−0.964124	+	0.265451i	$0.914479\pi$
$878$	1.66466	−	9.18497i	0.0561794	−	0.309978i
$879$	6.46194	−	32.4864i	0.217956	−	1.09574i
$880$	11.7598	+	10.2553i	0.396424	+	0.345706i
$881$	30.0537	−	20.0813i	1.01254	−	0.676555i	0.0655561	−	0.997849i	$-0.479118\pi$
$881$	30.0537	−	20.0813i	1.01254	−	0.676555i	0.946979	+	0.321294i	$0.104118\pi$
$882$	−18.6914	+	19.3402i	−0.629372	+	0.651220i
$883$			11.1632i			0.375672i	0.982200	+	0.187836i	$0.0601474\pi$
$883$			11.1632i			0.375672i	−0.982200	+	0.187836i	$0.939853\pi$
$884$	13.5269	−	14.1139i	0.454957	−	0.474700i
$885$		−	25.5904i		−	0.860212i
$886$	−0.0891151	−	0.0861254i	−0.00299388	−	0.00289344i
$887$	24.1279	−	16.1217i	0.810135	−	0.541315i	−0.0801157	−	0.996786i	$-0.525529\pi$
$887$	24.1279	−	16.1217i	0.810135	−	0.541315i	0.890251	+	0.455471i	$0.150529\pi$
$888$	35.9017	−	17.0721i	1.20478	−	0.572902i
$889$	−0.439659	+	2.21031i	−0.0147457	+	0.0741316i
$890$	1.38471	+	0.250961i	0.0464157	+	0.00841223i
$891$	−5.20444	−	26.1645i	−0.174355	−	0.876543i
$892$	−11.1648	−	24.5502i	−0.373825	−	0.822002i
$893$	13.3522	+	5.53068i	0.446816	+	0.185077i
$894$	22.2418	+	32.0884i	0.743876	+	1.07320i
$895$	3.04448	−	4.55638i	0.101766	−	0.152303i
$896$	20.4512	−	40.2972i	0.683226	−	1.34623i
$897$	−26.1360	−	26.1360i	−0.872654	−	0.872654i
$898$	28.0316	−	43.5422i	0.935426	−	1.45302i
$899$	−16.7119	+	6.92231i	−0.557374	+	0.230872i
$900$	7.69305	+	7.18524i	0.256435	+	0.239508i
$901$	5.24498	+	13.1388i	0.174736	+	0.437716i
$902$	−15.9713	+	6.93701i	−0.531785	+	0.230977i
$903$	23.6745	−	9.80630i	0.787838	−	0.326333i
$904$	22.1069	−	5.58660i	0.735265	−	0.185808i
$905$	15.3060	−	15.3060i	0.508788	−	0.508788i
$906$	−32.0931	+	6.95483i	−1.06622	+	0.231059i
$907$	28.9723	−	43.3602i	0.962011	−	1.43975i	0.0649269	−	0.997890i	$-0.479319\pi$
$907$	28.9723	−	43.3602i	0.962011	−	1.43975i	0.897084	−	0.441861i	$-0.145681\pi$
$908$	35.3458	+	21.9112i	1.17299	+	0.727150i
$909$	−4.14960	+	10.0180i	−0.137634	+	0.332277i
$910$	−21.2636	+	0.362767i	−0.704883	+	0.0120256i
$911$	−0.592380	−	2.97809i	−0.0196264	−	0.0986687i	0.969731	−	0.244178i	$-0.0785180\pi$
$911$	−0.592380	−	2.97809i	−0.0196264	−	0.0986687i	−0.989357	+	0.145509i	$0.953518\pi$
$912$	16.0325	−	27.9486i	0.530889	−	0.925470i
$913$	41.7380	+	8.30221i	1.38133	+	0.274763i
$914$	−9.25632	−	3.65038i	−0.306172	−	0.120744i
$915$	26.4872	−	17.6982i	0.875639	−	0.585083i
$916$	−47.1893	−	17.6858i	−1.55918	−	0.584356i
$917$	79.8368			2.63644
$918$	6.38332	−	9.64020i	0.210681	−	0.318174i
$919$		−	6.84897i		−	0.225927i	−0.993599	−	0.112963i	$-0.963966\pi$
$919$		−	6.84897i		−	0.225927i	0.993599	−	0.112963i	$-0.0360343\pi$
$920$	30.8972	−	1.58259i	1.01865	−	0.0521764i
$921$	33.3485	+	49.9096i	1.09887	+	1.64458i
$922$	18.2971	+	7.21577i	0.602584	+	0.237639i
$923$	3.10935	−	15.6318i	0.102346	−	0.514526i
$924$	−43.2432	+	10.1464i	−1.42260	+	0.333793i
$925$	−15.0905	+	3.00169i	−0.496174	+	0.0986951i
$926$	0.269424	+	15.7923i	0.00885384	+	0.518968i
$927$	−0.520222	−	0.215483i	−0.0170863	−	0.00707740i
$928$	8.20587	−	6.55934i	0.269371	−	0.215321i
$929$	−13.6512	−	9.12141i	−0.447880	−	0.299264i	0.311101	−	0.950377i	$-0.399302\pi$
$929$	−13.6512	−	9.12141i	−0.447880	−	0.299264i	−0.758981	+	0.651113i	$0.774302\pi$
$930$	48.3957	−	10.4877i	1.58696	−	0.343907i
$931$	−22.5304	−	22.5304i	−0.738405	−	0.738405i
$932$	0.748190	−	4.57132i	0.0245078	−	0.149739i
$933$	−5.84818	−	14.1188i	−0.191461	−	0.462227i
$934$	−12.6059	−	29.0229i	−0.412478	−	0.949660i
$935$	11.5184	−	11.2253i	0.376691	−	0.367108i
$936$	13.4199	+	4.77010i	0.438642	+	0.155916i
$937$	−12.9063	−	31.1586i	−0.421631	−	1.01791i	−0.981866	−	0.189575i	$-0.939289\pi$
$937$	−12.9063	−	31.1586i	−0.421631	−	1.01791i	0.560235	−	0.828334i	$-0.310711\pi$
$938$	18.7098	−	29.0625i	0.610897	−	0.948923i
$939$	−6.81482	+	6.81482i	−0.222393	+	0.222393i
$940$	−7.52830	−	10.4749i	−0.245546	−	0.341653i
$941$	1.56839	+	1.04797i	0.0511281	+	0.0341627i	0.580872	−	0.813995i	$-0.302712\pi$
$941$	1.56839	+	1.04797i	0.0511281	+	0.0341627i	−0.529744	+	0.848158i	$0.677712\pi$
$942$	50.1824	−	34.7835i	1.63503	−	1.13331i
$943$	−13.2122	+	31.8971i	−0.430249	+	1.03871i
$944$	−26.9889	−	9.07773i	−0.878413	−	0.295455i
$945$	−12.3360	+	2.45379i	−0.401292	+	0.0798219i
$946$	9.68739	+	1.75571i	0.314964	+	0.0570831i
$947$	22.7008	+	4.51548i	0.737678	+	0.146733i	0.549609	−	0.835422i	$-0.314777\pi$
$947$	22.7008	+	4.51548i	0.737678	+	0.146733i	0.188070	+	0.982156i	$0.439777\pi$
$948$	−1.96209	−	57.4873i	−0.0637257	−	1.86710i
$949$	18.7693	+	28.0903i	0.609279	+	0.911850i
$950$	−8.66624	+	8.96707i	−0.281170	+	0.290930i
$951$	27.1045			0.878922
$952$	−39.6926	−	24.3771i	−1.28645	−	0.790065i
$953$	22.0527			0.714358			0.357179	−	0.934036i	$-0.383739\pi$
$953$	22.0527			0.714358			0.357179	+	0.934036i	$0.383739\pi$
$954$	−7.16249	+	7.41112i	−0.231894	+	0.239944i
$955$	19.3502	+	28.9596i	0.626157	+	0.937111i
$956$	−22.4332	+	0.765664i	−0.725542	+	0.0247634i
$957$	−10.1274	−	2.01447i	−0.327372	−	0.0651184i
$958$	−22.8503	−	4.14132i	−0.738260	−	0.133800i
$959$	−11.9826	+	2.38349i	−0.386939	+	0.0769669i
$960$	−25.3060	+	13.6626i	−0.816749	+	0.440959i
$961$	−24.4443	+	59.0137i	−0.788525	+	1.90367i
$962$	−17.1091	+	11.8590i	−0.551620	+	0.382350i
$963$	−9.27425	−	6.19685i	−0.298858	−	0.199691i
$964$	9.13117	−	6.56257i	0.294095	−	0.211366i
$965$	1.54552	−	1.54552i	0.0497521	−	0.0497521i
$966$	−47.6726	+	74.0511i	−1.53384	+	2.38255i
$967$	21.2143	+	51.2160i	0.682207	+	1.64699i	0.759919	+	0.650018i	$0.225239\pi$
$967$	21.2143	+	51.2160i	0.682207	+	1.64699i	−0.0777115	+	0.996976i	$0.524761\pi$
$968$	13.2361	+	4.70478i	0.425423	+	0.151217i
$969$	−27.3749	−	18.8060i	−0.879409	−	0.604134i
$970$	8.36703	+	19.2636i	0.268649	+	0.618518i
$971$	−0.393875	−	0.950898i	−0.0126401	−	0.0305158i	0.917434	−	0.397889i	$-0.130257\pi$
$971$	−0.393875	−	0.950898i	−0.0126401	−	0.0305158i	−0.930074	+	0.367373i	$0.880257\pi$
$972$	36.7821	+	6.02014i	1.17979	+	0.193096i
$973$	25.1071	+	25.1071i	0.804895	+	0.804895i
$974$	2.56019	−	0.554814i	0.0820337	−	0.0177774i
$975$	−11.0568	−	7.38792i	−0.354101	−	0.236603i
$976$	−9.26949	−	34.2127i	−0.296709	−	1.09512i
$977$	11.0562	+	4.57961i	0.353718	+	0.146515i	0.552465	−	0.833536i	$-0.313687\pi$
$977$	11.0562	+	4.57961i	0.353718	+	0.146515i	−0.198747	+	0.980051i	$0.563687\pi$
$978$	−0.192691	−	11.2946i	−0.00616158	−	0.361162i
$979$	−1.50955	+	0.300269i	−0.0482455	+	0.00959662i
$980$	6.49648	+	27.6875i	0.207522	+	0.884443i
$981$	−4.04947	+	20.3580i	−0.129289	+	0.649982i
$982$	−11.4045	−	4.49756i	−0.363933	−	0.143523i
$983$	11.5932	+	17.3504i	0.369765	+	0.553393i	0.968962	−	0.247209i	$-0.0795133\pi$
$983$	11.5932	+	17.3504i	0.369765	+	0.553393i	−0.599197	+	0.800602i	$0.704513\pi$
$984$	−1.64172	−	32.0515i	−0.0523360	−	1.02177i
$985$		−	16.7484i		−	0.533650i
$986$	−6.05359	−	8.97846i	−0.192786	−	0.285933i
$987$	36.7208			1.16884
$988$	−5.92128	+	15.7992i	−0.188381	+	0.502639i
$989$	16.2308	−	10.8451i	0.516110	−	0.344854i
$990$	10.9005	+	4.29877i	0.346439	+	0.136624i
$991$	32.6899	+	6.50243i	1.03843	+	0.206557i	0.684726	−	0.728801i	$-0.259922\pi$
$991$	32.6899	+	6.50243i	1.03843	+	0.206557i	0.353704	+	0.935357i	$0.384922\pi$
$992$	6.10661	−	54.7608i	0.193885	−	1.73866i
$993$	−3.58142	−	18.0050i	−0.113653	−	0.571371i
$994$	−37.9702	+	0.647789i	−1.20434	+	0.0205466i
$995$	−11.1675	+	26.9607i	−0.354034	+	0.854713i
$996$	−41.3261	+	66.6647i	−1.30947	+	2.11235i
$997$	−3.46448	+	5.18496i	−0.109721	+	0.164209i	−0.882267	−	0.470750i	$-0.843983\pi$
$997$	−3.46448	+	5.18496i	−0.109721	+	0.164209i	0.772545	+	0.634960i	$0.218983\pi$
$998$	38.7064	−	8.38798i	1.22523	−	0.265517i
$999$	−8.70582	+	8.70582i	−0.275440	+	0.275440i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	136.2.s.c.107.10	yes	112
4.3	odd	2		544.2.cc.c.175.12		112
8.3	odd	2	inner	136.2.s.c.107.8	yes	112
8.5	even	2		544.2.cc.c.175.11		112
17.7	odd	16	inner	136.2.s.c.75.8	✓	112
68.7	even	16		544.2.cc.c.143.11		112
136.75	even	16	inner	136.2.s.c.75.10	yes	112
136.109	odd	16		544.2.cc.c.143.12		112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
136.2.s.c.75.8	✓	112	17.7	odd	16	inner
136.2.s.c.75.10	yes	112	136.75	even	16	inner
136.2.s.c.107.8	yes	112	8.3	odd	2	inner
136.2.s.c.107.10	yes	112	1.1	even	1	trivial
544.2.cc.c.143.11		112	68.7	even	16
544.2.cc.c.143.12		112	136.109	odd	16
544.2.cc.c.175.11		112	8.5	even	2
544.2.cc.c.175.12		112	4.3	odd	2

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:	\( N \)	\(=\)	\( 136 = 2^{3} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	136.s (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(1.01691 + 0.982797i) q^{2} +(-1.25761 - 1.88214i) q^{3} +(0.0682220 + 1.99884i) q^{4} +(1.55757 + 0.309820i) q^{5} +(0.570886 - 3.14995i) q^{6} +(3.91750 - 0.779239i) q^{7} +(-1.89507 + 2.09969i) q^{8} +(-0.812832 + 1.96235i) q^{9} +O(q^{10})\)	\(q+(1.01691 + 0.982797i) q^{2} +(-1.25761 - 1.88214i) q^{3} +(0.0682220 + 1.99884i) q^{4} +(1.55757 + 0.309820i) q^{5} +(0.570886 - 3.14995i) q^{6} +(3.91750 - 0.779239i) q^{7} +(-1.89507 + 2.09969i) q^{8} +(-0.812832 + 1.96235i) q^{9} +(1.27942 + 1.84583i) q^{10} +(-2.04236 - 1.36466i) q^{11} +(3.67630 - 2.64215i) q^{12} +(-1.67634 + 1.67634i) q^{13} +(4.74959 + 3.05769i) q^{14} +(-1.37568 - 3.32120i) q^{15} +(-3.99069 + 0.272729i) q^{16} +(-0.0531197 + 4.12276i) q^{17} +(-2.75517 + 1.19669i) q^{18} +(-1.36178 - 3.28763i) q^{19} +(-0.513018 + 3.13446i) q^{20} +(-6.39331 - 6.39331i) q^{21} +(-0.735715 - 3.39496i) q^{22} +(-5.72685 - 3.82656i) q^{23} +(6.33517 + 0.926213i) q^{24} +(-2.28937 - 0.948286i) q^{25} +(-3.35220 + 0.0571900i) q^{26} +(-1.94477 + 0.386838i) q^{27} +(1.82483 + 7.77728i) q^{28} +(-0.362301 + 1.82141i) q^{29} +(1.86511 - 4.72938i) q^{30} +(5.41149 + 8.09887i) q^{31} +(-4.32622 - 3.64470i) q^{32} +5.56021i q^{33} +(-4.10586 + 4.14028i) q^{34} +6.34320 q^{35} +(-3.97787 - 1.49084i) q^{36} +(5.16270 - 3.44961i) q^{37} +(1.84626 - 4.68158i) q^{38} +(5.26329 + 1.04693i) q^{39} +(-3.60223 + 2.68328i) q^{40} +(-0.977918 - 4.91633i) q^{41} +(-0.218114 - 12.7848i) q^{42} +(-1.08459 + 2.61842i) q^{43} +(2.58839 - 4.17543i) q^{44} +(-1.87402 + 2.80466i) q^{45} +(-2.06298 - 9.51961i) q^{46} +(-2.87182 + 2.87182i) q^{47} +(5.53204 + 7.16806i) q^{48} +(8.27242 - 3.42655i) q^{49} +(-1.39611 - 3.21431i) q^{50} +(7.82643 - 5.08484i) q^{51} +(-3.46510 - 3.23637i) q^{52} +(3.16997 - 1.31304i) q^{53} +(-2.35784 - 1.51793i) q^{54} +(-2.75831 - 2.75831i) q^{55} +(-5.78779 + 9.70224i) q^{56} +(-4.47520 + 6.69761i) q^{57} +(-2.15850 + 1.49614i) q^{58} +(6.57678 + 2.72419i) q^{59} +(6.54468 - 2.97635i) q^{60} +(1.72880 + 8.69128i) q^{61} +(-2.45653 + 13.5542i) q^{62} +(-1.65513 + 8.32089i) q^{63} +(-0.817393 - 7.95813i) q^{64} +(-3.13038 + 2.09165i) q^{65} +(-5.46455 + 5.65424i) q^{66} -6.11894i q^{67} +(-8.24435 + 0.175085i) q^{68} +15.5911i q^{69} +(6.45047 + 6.23407i) q^{70} +(-5.58989 + 3.73504i) q^{71} +(-2.57995 - 5.42549i) q^{72} +(2.78015 - 13.9768i) q^{73} +(8.64028 + 1.56594i) q^{74} +(1.09431 + 5.50148i) q^{75} +(6.47852 - 2.94626i) q^{76} +(-9.06432 - 3.75456i) q^{77} +(4.32339 + 6.23739i) q^{78} +(7.05875 - 10.5642i) q^{79} +(-6.30027 - 0.811601i) q^{80} +(7.67959 + 7.67959i) q^{81} +(3.83729 - 5.96057i) q^{82} +(-16.0062 + 6.62999i) q^{83} +(12.3430 - 13.2153i) q^{84} +(-1.36005 + 6.40503i) q^{85} +(-3.67631 + 1.59678i) q^{86} +(3.88378 - 1.60871i) q^{87} +(6.73577 - 1.70218i) q^{88} +(0.443072 - 0.443072i) q^{89} +(-4.66212 + 1.01032i) q^{90} +(-5.26080 + 7.87334i) q^{91} +(7.25797 - 11.7081i) q^{92} +(8.43769 - 20.3704i) q^{93} +(-5.74280 + 0.0979747i) q^{94} +(-1.10249 - 5.54261i) q^{95} +(-1.41915 + 12.7262i) q^{96} +(9.17174 + 1.82437i) q^{97} +(11.7799 + 4.64561i) q^{98} +(4.33803 - 2.89858i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{6} - 8 q^{8} - 16 q^{9}+O(q^{10}) \) 112 * q - 8 * q^2 - 16 * q^3 - 8 * q^4 - 8 * q^6 - 8 * q^8 - 16 * q^9	\( 112 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{6} - 8 q^{8} - 16 q^{9} - 8 q^{10} - 16 q^{11} + 24 q^{12} - 8 q^{14} - 16 q^{17} - 16 q^{18} - 16 q^{19} - 8 q^{20} - 8 q^{22} - 56 q^{24} - 16 q^{25} - 40 q^{26} + 32 q^{27} + 40 q^{28} - 72 q^{30} + 32 q^{32} - 72 q^{34} - 32 q^{35} + 56 q^{36} + 48 q^{38} + 56 q^{40} - 16 q^{41} - 56 q^{42} - 96 q^{43} + 24 q^{44} - 24 q^{46} + 16 q^{48} - 16 q^{49} - 16 q^{51} - 16 q^{52} - 24 q^{54} + 32 q^{56} + 32 q^{57} + 48 q^{58} - 16 q^{59} + 96 q^{60} + 48 q^{62} + 40 q^{64} + 64 q^{65} - 16 q^{66} + 80 q^{68} + 64 q^{70} + 96 q^{72} - 96 q^{73} + 40 q^{74} - 16 q^{75} + 48 q^{76} + 96 q^{78} + 8 q^{80} - 96 q^{81} + 32 q^{82} + 128 q^{83} + 64 q^{86} - 72 q^{88} - 16 q^{89} + 152 q^{90} - 16 q^{91} - 120 q^{92} + 88 q^{94} - 160 q^{96} - 16 q^{97} + 128 q^{98} + 48 q^{99}+O(q^{100}) \) 112 * q - 8 * q^2 - 16 * q^3 - 8 * q^4 - 8 * q^6 - 8 * q^8 - 16 * q^9 - 8 * q^10 - 16 * q^11 + 24 * q^12 - 8 * q^14 - 16 * q^17 - 16 * q^18 - 16 * q^19 - 8 * q^20 - 8 * q^22 - 56 * q^24 - 16 * q^25 - 40 * q^26 + 32 * q^27 + 40 * q^28 - 72 * q^30 + 32 * q^32 - 72 * q^34 - 32 * q^35 + 56 * q^36 + 48 * q^38 + 56 * q^40 - 16 * q^41 - 56 * q^42 - 96 * q^43 + 24 * q^44 - 24 * q^46 + 16 * q^48 - 16 * q^49 - 16 * q^51 - 16 * q^52 - 24 * q^54 + 32 * q^56 + 32 * q^57 + 48 * q^58 - 16 * q^59 + 96 * q^60 + 48 * q^62 + 40 * q^64 + 64 * q^65 - 16 * q^66 + 80 * q^68 + 64 * q^70 + 96 * q^72 - 96 * q^73 + 40 * q^74 - 16 * q^75 + 48 * q^76 + 96 * q^78 + 8 * q^80 - 96 * q^81 + 32 * q^82 + 128 * q^83 + 64 * q^86 - 72 * q^88 - 16 * q^89 + 152 * q^90 - 16 * q^91 - 120 * q^92 + 88 * q^94 - 160 * q^96 - 16 * q^97 + 128 * q^98 + 48 * q^99

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