LMFDB - Embedded newform 637.2.w.a.92.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [637,2,Mod(92,637)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(637, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([2, 0]))

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

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

chi := DirichletCharacter("637.92");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 637 = 7^{2} \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	637.w (of order $7$, 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:	$5.08647060876$
Analytic rank:	$0$
Dimension:	$162$
Relative dimension:	$27$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			92.11
Character	$\chi$	$=$	637.92
Dual form			637.2.w.a.547.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.633585 + 0.794490i) q^{2} +(2.34732 + 1.13041i) q^{3} +(0.215257 + 0.943102i) q^{4} +(2.05977 + 0.991933i) q^{5} +(-2.38533 + 1.14871i) q^{6} +(-2.62531 + 0.328254i) q^{7} +(-2.71678 - 1.30833i) q^{8} +(2.36163 + 2.96138i) q^{9} +O(q^{10})$	\(q+(-0.633585 + 0.794490i) q^{2} +(2.34732 + 1.13041i) q^{3} +(0.215257 + 0.943102i) q^{4} +(2.05977 + 0.991933i) q^{5} +(-2.38533 + 1.14871i) q^{6} +(-2.62531 + 0.328254i) q^{7} +(-2.71678 - 1.30833i) q^{8} +(2.36163 + 2.96138i) q^{9} +(-2.09312 + 1.00799i) q^{10} +(1.17727 - 1.47625i) q^{11} +(-0.560816 + 2.45709i) q^{12} +(-0.623490 + 0.781831i) q^{13} +(1.40256 - 2.29376i) q^{14} +(3.71365 + 4.65677i) q^{15} +(1.01765 - 0.490076i) q^{16} +(-0.326389 + 1.43000i) q^{17} -3.84908 q^{18} -2.69810 q^{19} +(-0.492115 + 2.15610i) q^{20} +(-6.53351 - 2.19716i) q^{21} +(0.426966 + 1.87066i) q^{22} +(1.82354 + 7.98946i) q^{23} +(-4.89821 - 6.14216i) q^{24} +(0.141274 + 0.177152i) q^{25} +(-0.226124 - 0.990713i) q^{26} +(0.456692 + 2.00090i) q^{27} +(-0.874693 - 2.40528i) q^{28} +(-1.23465 + 5.40935i) q^{29} -6.05268 q^{30} +9.33219 q^{31} +(1.08657 - 4.76058i) q^{32} +(4.43221 - 2.13444i) q^{33} +(-0.929329 - 1.16534i) q^{34} +(-5.73314 - 1.92800i) q^{35} +(-2.28453 + 2.86471i) q^{36} +(1.34312 - 5.88459i) q^{37} +(1.70947 - 2.14361i) q^{38} +(-2.34732 + 1.13041i) q^{39} +(-4.29817 - 5.38973i) q^{40} +(3.28555 + 1.58224i) q^{41} +(5.88515 - 3.79872i) q^{42} +(3.04053 - 1.46424i) q^{43} +(1.64567 + 0.792514i) q^{44} +(1.92691 + 8.44235i) q^{45} +(-7.50291 - 3.61321i) q^{46} +(7.32600 - 9.18652i) q^{47} +2.94275 q^{48} +(6.78450 - 1.72354i) q^{49} -0.230255 q^{50} +(-2.38263 + 2.98773i) q^{51} +(-0.871558 - 0.419720i) q^{52} +(-2.58037 - 11.3053i) q^{53} +(-1.87905 - 0.904902i) q^{54} +(3.88925 - 1.87297i) q^{55} +(7.56186 + 2.54299i) q^{56} +(-6.33331 - 3.04996i) q^{57} +(-3.51542 - 4.40820i) q^{58} +(-0.974635 + 0.469359i) q^{59} +(-3.59243 + 4.50476i) q^{60} +(-1.48283 + 6.49671i) q^{61} +(-5.91273 + 7.41433i) q^{62} +(-7.17208 - 6.99934i) q^{63} +(4.50227 + 5.64567i) q^{64} +(-2.05977 + 0.991933i) q^{65} +(-1.11239 + 4.87369i) q^{66} -9.17126 q^{67} -1.41890 q^{68} +(-4.75093 + 20.8152i) q^{69} +(5.16421 - 3.33337i) q^{70} +(0.0741655 + 0.324940i) q^{71} +(-2.54154 - 11.1352i) q^{72} +(7.55958 + 9.47941i) q^{73} +(3.82427 + 4.79548i) q^{74} +(0.131361 + 0.575532i) q^{75} +(-0.580785 - 2.54458i) q^{76} +(-2.60612 + 4.26206i) q^{77} +(0.589127 - 2.58114i) q^{78} +7.82673 q^{79} +2.58226 q^{80} +(1.33873 - 5.86535i) q^{81} +(-3.33875 + 1.60786i) q^{82} +(-6.98053 - 8.75331i) q^{83} +(0.665764 - 6.63472i) q^{84} +(-2.09076 + 2.62172i) q^{85} +(-0.763107 + 3.34339i) q^{86} +(-9.01291 + 11.3018i) q^{87} +(-5.12982 + 2.47039i) q^{88} +(-6.21637 - 7.79508i) q^{89} +(-7.92822 - 3.81803i) q^{90} +(1.38021 - 2.25721i) q^{91} +(-7.14235 + 3.43957i) q^{92} +(21.9057 + 10.5492i) q^{93} +(2.65695 + 11.6409i) q^{94} +(-5.55746 - 2.67633i) q^{95} +(7.93194 - 9.94634i) q^{96} +7.84628 q^{97} +(-2.92922 + 6.48222i) q^{98} +7.15202 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9}+O(q^{10}) $ 162 * q + 3 * q^2 - 25 * q^4 - 4 * q^5 + 18 * q^6 - 15 * q^7 + 3 * q^8 - 5 * q^9	\( 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9} - 10 q^{10} + 15 q^{11} + 25 q^{12} + 27 q^{13} + 33 q^{14} + 18 q^{15} - 5 q^{16} + 3 q^{17} - 64 q^{18} + 24 q^{19} - 47 q^{20} + 24 q^{22} + 27 q^{23} - 8 q^{24} - 35 q^{25} - 3 q^{26} + 15 q^{27} + 2 q^{28} + 46 q^{29} - 30 q^{30} + 46 q^{31} + 16 q^{32} - 18 q^{33} - 62 q^{34} - 51 q^{35} + 39 q^{36} + 16 q^{37} - 54 q^{38} + 74 q^{40} - 2 q^{41} + 88 q^{42} + 14 q^{43} - 95 q^{44} + 83 q^{45} + 56 q^{46} - 4 q^{47} - 20 q^{48} - 3 q^{49} - 216 q^{50} - 56 q^{51} + 25 q^{52} + 38 q^{53} - 6 q^{54} + 73 q^{55} - 35 q^{56} + 41 q^{57} + 72 q^{58} - 44 q^{59} + 24 q^{60} - 6 q^{61} - 36 q^{62} - q^{63} - 11 q^{64} + 4 q^{65} + 95 q^{66} - 126 q^{67} - 382 q^{68} - 108 q^{69} - 47 q^{70} + 51 q^{71} + 130 q^{72} + 14 q^{73} - 26 q^{74} + 3 q^{75} + 75 q^{76} - 6 q^{77} + 31 q^{78} - 58 q^{79} + 110 q^{80} - 5 q^{81} - 90 q^{82} - 35 q^{83} + 21 q^{84} + 18 q^{85} + 76 q^{86} - 100 q^{87} + 6 q^{88} + 32 q^{89} + 13 q^{90} + q^{91} + 46 q^{92} + 19 q^{93} + 72 q^{94} + 38 q^{95} + 95 q^{96} + 6 q^{97} - 299 q^{98} - 334 q^{99}+O(q^{100}) \) 162 * q + 3 * q^2 - 25 * q^4 - 4 * q^5 + 18 * q^6 - 15 * q^7 + 3 * q^8 - 5 * q^9 - 10 * q^10 + 15 * q^11 + 25 * q^12 + 27 * q^13 + 33 * q^14 + 18 * q^15 - 5 * q^16 + 3 * q^17 - 64 * q^18 + 24 * q^19 - 47 * q^20 + 24 * q^22 + 27 * q^23 - 8 * q^24 - 35 * q^25 - 3 * q^26 + 15 * q^27 + 2 * q^28 + 46 * q^29 - 30 * q^30 + 46 * q^31 + 16 * q^32 - 18 * q^33 - 62 * q^34 - 51 * q^35 + 39 * q^36 + 16 * q^37 - 54 * q^38 + 74 * q^40 - 2 * q^41 + 88 * q^42 + 14 * q^43 - 95 * q^44 + 83 * q^45 + 56 * q^46 - 4 * q^47 - 20 * q^48 - 3 * q^49 - 216 * q^50 - 56 * q^51 + 25 * q^52 + 38 * q^53 - 6 * q^54 + 73 * q^55 - 35 * q^56 + 41 * q^57 + 72 * q^58 - 44 * q^59 + 24 * q^60 - 6 * q^61 - 36 * q^62 - q^63 - 11 * q^64 + 4 * q^65 + 95 * q^66 - 126 * q^67 - 382 * q^68 - 108 * q^69 - 47 * q^70 + 51 * q^71 + 130 * q^72 + 14 * q^73 - 26 * q^74 + 3 * q^75 + 75 * q^76 - 6 * q^77 + 31 * q^78 - 58 * q^79 + 110 * q^80 - 5 * q^81 - 90 * q^82 - 35 * q^83 + 21 * q^84 + 18 * q^85 + 76 * q^86 - 100 * q^87 + 6 * q^88 + 32 * q^89 + 13 * q^90 + q^91 + 46 * q^92 + 19 * q^93 + 72 * q^94 + 38 * q^95 + 95 * q^96 + 6 * q^97 - 299 * q^98 - 334 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/637\mathbb{Z}\right)^\times$.

$n$	$197$	$248$
$\chi(n)$	$1$	$e\left(\frac{1}{7}\right)$

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 $

$2$	−0.633585	+	0.794490i	−0.448012	+	0.561789i	−0.953635	−	0.300965i	$-0.902691\pi$
$2$	−0.633585	+	0.794490i	−0.448012	+	0.561789i	0.505623	+	0.862754i	$0.331263\pi$
$3$	2.34732	+	1.13041i	1.35523	+	0.652643i	0.963567	−	0.267467i	$-0.0861866\pi$
$3$	2.34732	+	1.13041i	1.35523	+	0.652643i	0.391660	+	0.920110i	$0.371901\pi$
$4$	0.215257	+	0.943102i	0.107628	+	0.471551i
$5$	2.05977	+	0.991933i	0.921157	+	0.443606i	0.833484	−	0.552543i	$-0.186343\pi$
$5$	2.05977	+	0.991933i	0.921157	+	0.443606i	0.0876732	+	0.996149i	$0.472057\pi$
$6$	−2.38533	+	1.14871i	−0.973806	+	0.468960i
$7$	−2.62531	+	0.328254i	−0.992274	+	0.124068i
$7$	−2.62531	+	0.328254i	−0.992274	+	0.124068i
$8$	−2.71678	−	1.30833i	−0.960527	−	0.462566i
$9$	2.36163	+	2.96138i	0.787208	+	0.987128i
$10$	−2.09312	+	1.00799i	−0.661903	+	0.318756i
$11$	1.17727	−	1.47625i	0.354961	−	0.445107i	−0.572006	−	0.820249i	$-0.693835\pi$
$11$	1.17727	−	1.47625i	0.354961	−	0.445107i	0.926967	+	0.375142i	$0.122406\pi$
$12$	−0.560816	+	2.45709i	−0.161894	+	0.709302i
$13$	−0.623490	+	0.781831i	−0.172925	+	0.216841i
$13$	−0.623490	+	0.781831i	−0.172925	+	0.216841i
$14$	1.40256	−	2.29376i	0.374850	−	0.613033i
$15$	3.71365	+	4.65677i	0.958861	+	1.20237i
$16$	1.01765	−	0.490076i	0.254413	−	0.122519i
$17$	−0.326389	+	1.43000i	−0.0791610	+	0.346827i	−0.998962	−	0.0455590i	$-0.985493\pi$
$17$	−0.326389	+	1.43000i	−0.0791610	+	0.346827i	0.919801	+	0.392386i	$0.128350\pi$
$18$	−3.84908			−0.907237
$19$	−2.69810			−0.618986			−0.309493	−	0.950902i	$-0.600159\pi$
$19$	−2.69810			−0.618986			−0.309493	+	0.950902i	$0.600159\pi$
$20$	−0.492115	+	2.15610i	−0.110040	+	0.482118i
$21$	−6.53351	−	2.19716i	−1.42573	−	0.479460i
$22$	0.426966	+	1.87066i	0.0910295	+	0.398826i
$23$	1.82354	+	7.98946i	0.380235	+	1.66592i	0.696738	+	0.717326i	$0.254634\pi$
$23$	1.82354	+	7.98946i	0.380235	+	1.66592i	−0.316503	+	0.948591i	$0.602509\pi$
$24$	−4.89821	−	6.14216i	−0.999843	−	1.25376i
$25$	0.141274	+	0.177152i	0.0282549	+	0.0354305i
$26$	−0.226124	−	0.990713i	−0.0443465	−	0.194295i
$27$	0.456692	+	2.00090i	0.0878905	+	0.385073i
$28$	−0.874693	−	2.40528i	−0.165301	−	0.454555i
$29$	−1.23465	+	5.40935i	−0.229269	+	1.00449i	0.720969	+	0.692967i	$0.243697\pi$
$29$	−1.23465	+	5.40935i	−0.229269	+	1.00449i	−0.950238	+	0.311525i	$0.899160\pi$
$30$	−6.05268			−1.10506
$31$	9.33219			1.67611			0.838056	−	0.545585i	$-0.183692\pi$
$31$	9.33219			1.67611			0.838056	+	0.545585i	$0.183692\pi$
$32$	1.08657	−	4.76058i	0.192080	−	0.841559i
$33$	4.43221	−	2.13444i	0.771548	−	0.371558i
$34$	−0.929329	−	1.16534i	−0.159379	−	0.199854i
$35$	−5.73314	−	1.92800i	−0.969078	−	0.325892i
$36$	−2.28453	+	2.86471i	−0.380755	+	0.477452i
$37$	1.34312	−	5.88459i	0.220808	−	0.967421i	−0.736064	−	0.676911i	$-0.763318\pi$
$37$	1.34312	−	5.88459i	0.220808	−	0.967421i	0.956872	−	0.290510i	$-0.0938249\pi$
$38$	1.70947	−	2.14361i	0.277313	−	0.347740i
$39$	−2.34732	+	1.13041i	−0.375872	+	0.181011i
$40$	−4.29817	−	5.38973i	−0.679600	−	0.852191i
$41$	3.28555	+	1.58224i	0.513117	+	0.247104i	0.672479	−	0.740116i	$-0.265229\pi$
$41$	3.28555	+	1.58224i	0.513117	+	0.247104i	−0.159362	+	0.987220i	$0.550944\pi$
$42$	5.88515	−	3.79872i	0.908099	−	0.586155i
$43$	3.04053	−	1.46424i	0.463676	−	0.223295i	−0.187435	−	0.982277i	$-0.560017\pi$
$43$	3.04053	−	1.46424i	0.463676	−	0.223295i	0.651111	+	0.758982i	$0.274303\pi$
$44$	1.64567	+	0.792514i	0.248094	+	0.119476i
$45$	1.92691	+	8.44235i	0.287247	+	1.25851i
$46$	−7.50291	−	3.61321i	−1.10624	−	0.532739i
$47$	7.32600	−	9.18652i	1.06861	−	1.33999i	0.131356	−	0.991335i	$-0.458067\pi$
$47$	7.32600	−	9.18652i	1.06861	−	1.33999i	0.937251	−	0.348656i	$-0.113362\pi$
$48$	2.94275			0.424749
$49$	6.78450	−	1.72354i	0.969214	−	0.246219i
$50$	−0.230255			−0.0325630
$51$	−2.38263	+	2.98773i	−0.333635	+	0.418365i
$52$	−0.871558	−	0.419720i	−0.120863	−	0.0582047i
$53$	−2.58037	−	11.3053i	−0.354441	−	1.55291i	−0.766800	−	0.641886i	$-0.778152\pi$
$53$	−2.58037	−	11.3053i	−0.354441	−	1.55291i	0.412359	−	0.911021i	$-0.364705\pi$
$54$	−1.87905	−	0.904902i	−0.255706	−	0.123142i
$55$	3.88925	−	1.87297i	0.524427	−	0.252551i
$56$	7.56186	+	2.54299i	1.01050	+	0.339821i
$57$	−6.33331	−	3.04996i	−0.838867	−	0.403977i
$58$	−3.51542	−	4.40820i	−0.461598	−	0.578825i
$59$	−0.974635	+	0.469359i	−0.126887	+	0.0611054i	−0.496250	−	0.868180i	$-0.665290\pi$
$59$	−0.974635	+	0.469359i	−0.126887	+	0.0611054i	0.369363	+	0.929285i	$0.379576\pi$
$60$	−3.59243	+	4.50476i	−0.463780	+	0.581562i
$61$	−1.48283	+	6.49671i	−0.189857	+	0.831819i	0.786833	+	0.617166i	$0.211719\pi$
$61$	−1.48283	+	6.49671i	−0.189857	+	0.831819i	−0.976690	+	0.214653i	$0.931138\pi$
$62$	−5.91273	+	7.41433i	−0.750918	+	0.941621i
$63$	−7.17208	−	6.99934i	−0.903597	−	0.881834i
$64$	4.50227	+	5.64567i	0.562784	+	0.705709i
$65$	−2.05977	+	0.991933i	−0.255483	+	0.123034i
$66$	−1.11239	+	4.87369i	−0.136926	+	0.599910i
$67$	−9.17126			−1.12045			−0.560224	−	0.828341i	$-0.689285\pi$
$67$	−9.17126			−1.12045			−0.560224	+	0.828341i	$0.689285\pi$
$68$	−1.41890			−0.172067
$69$	−4.75093	+	20.8152i	−0.571945	+	2.50585i
$70$	5.16421	−	3.33337i	0.617241	−	0.398414i
$71$	0.0741655	+	0.324940i	0.00880182	+	0.0385633i	0.979138	−	0.203196i	$-0.0651328\pi$
$71$	0.0741655	+	0.324940i	0.00880182	+	0.0385633i	−0.970336	+	0.241759i	$0.922276\pi$
$72$	−2.54154	−	11.1352i	−0.299524	−	1.31230i
$73$	7.55958	+	9.47941i	0.884782	+	1.10948i	0.993320	+	0.115389i	$0.0368114\pi$
$73$	7.55958	+	9.47941i	0.884782	+	1.10948i	−0.108539	+	0.994092i	$0.534617\pi$
$74$	3.82427	+	4.79548i	0.444562	+	0.557464i
$75$	0.131361	+	0.575532i	0.0151683	+	0.0664567i
$76$	−0.580785	−	2.54458i	−0.0666206	−	0.291884i
$77$	−2.60612	+	4.26206i	−0.296995	+	0.485707i
$78$	0.589127	−	2.58114i	0.0667055	−	0.292256i
$79$	7.82673			0.880576			0.440288	−	0.897857i	$-0.354876\pi$
$79$	7.82673			0.880576			0.440288	+	0.897857i	$0.354876\pi$
$80$	2.58226			0.288705
$81$	1.33873	−	5.86535i	0.148748	−	0.651706i
$82$	−3.33875	+	1.60786i	−0.368703	+	0.177558i
$83$	−6.98053	−	8.75331i	−0.766213	−	0.960800i	0.233721	−	0.972304i	$-0.424910\pi$
$83$	−6.98053	−	8.75331i	−0.766213	−	0.960800i	−0.999934	+	0.0115035i	$0.996338\pi$
$84$	0.665764	−	6.63472i	0.0726408	−	0.723908i
$85$	−2.09076	+	2.62172i	−0.226774	+	0.284366i
$86$	−0.763107	+	3.34339i	−0.0822880	+	0.360527i
$87$	−9.01291	+	11.3018i	−0.966286	+	1.21168i
$88$	−5.12982	+	2.47039i	−0.546840	+	0.263344i
$89$	−6.21637	−	7.79508i	−0.658934	−	0.826277i	0.334293	−	0.942469i	$-0.391503\pi$
$89$	−6.21637	−	7.79508i	−0.658934	−	0.826277i	−0.993227	+	0.116192i	$0.962931\pi$
$90$	−7.92822	−	3.81803i	−0.835708	−	0.402456i
$91$	1.38021	−	2.25721i	0.144686	−	0.236620i
$92$	−7.14235	+	3.43957i	−0.744641	+	0.358600i
$93$	21.9057	+	10.5492i	2.27151	+	1.09390i
$94$	2.65695	+	11.6409i	0.274044	+	1.20066i
$95$	−5.55746	−	2.67633i	−0.570184	−	0.274586i
$96$	7.93194	−	9.94634i	0.809550	−	1.01514i
$97$	7.84628			0.796669			0.398334	−	0.917240i	$-0.369588\pi$
$97$	7.84628			0.796669			0.398334	+	0.917240i	$0.369588\pi$
$98$	−2.92922	+	6.48222i	−0.295896	+	0.654803i
$99$	7.15202			0.718805
$100$	−0.136663	+	0.171369i	−0.0136663	+	0.0171369i
$101$	−0.813015	−	0.391527i	−0.0808980	−	0.0389584i	0.392997	−	0.919540i	$-0.371438\pi$
$101$	−0.813015	−	0.391527i	−0.0808980	−	0.0389584i	−0.473895	+	0.880581i	$0.657152\pi$
$102$	−0.864120	−	3.78596i	−0.0855606	−	0.374865i
$103$	9.20910	+	4.43487i	0.907399	+	0.436981i	0.828556	−	0.559906i	$-0.189163\pi$
$103$	9.20910	+	4.43487i	0.907399	+	0.436981i	0.0788436	+	0.996887i	$0.474877\pi$
$104$	2.71678	−	1.30833i	0.266402	−	0.128293i
$105$	−11.2781	−	11.0065i	−1.10063	−	1.07412i
$106$	10.6169	+	5.11281i	1.03120	+	0.496600i
$107$	−9.19920	−	11.5354i	−0.889320	−	1.11517i	−0.992710	−	0.120531i	$-0.961540\pi$
$107$	−9.19920	−	11.5354i	−0.889320	−	1.11517i	0.103390	−	0.994641i	$-0.467031\pi$
$108$	−1.78875	+	0.861415i	−0.172122	+	0.0828897i
$109$	−7.93536	+	9.95063i	−0.760070	+	0.953097i	−0.999843	−	0.0177318i	$-0.994356\pi$
$109$	−7.93536	+	9.95063i	−0.760070	+	0.953097i	0.239773	+	0.970829i	$0.422927\pi$
$110$	−0.976118	+	4.27665i	−0.0930692	+	0.407763i
$111$	9.80475	−	12.2948i	0.930625	−	1.16697i
$112$	−2.51079	+	1.62065i	−0.237247	+	0.153137i
$113$	5.89088	+	7.38693i	0.554168	+	0.694904i	0.977468	−	0.211085i	$-0.0676998\pi$
$113$	5.89088	+	7.38693i	0.554168	+	0.694904i	−0.423300	+	0.905990i	$0.639128\pi$
$114$	6.43585	−	3.09934i	0.602773	−	0.290280i
$115$	−4.16893	+	18.2653i	−0.388755	+	1.70325i
$116$	−5.36734			−0.498345
$117$	−3.78775			−0.350178
$118$	0.244612	−	1.07172i	0.0225184	−	0.0986595i
$119$	0.387468	−	3.86134i	0.0355191	−	0.353969i
$120$	−3.99657	−	17.5101i	−0.364836	−	1.59845i
$121$	1.65438	+	7.24831i	0.150398	+	0.658937i
$122$	−4.22207	−	5.29431i	−0.382249	−	0.479325i
$123$	5.92367	+	7.42805i	0.534119	+	0.669765i
$124$	2.00882	+	8.80121i	0.180397	+	0.790372i
$125$	−2.42834	−	10.6392i	−0.217197	−	0.951603i
$126$	10.1050	−	1.26348i	0.900227	−	0.112559i
$127$	4.18017	−	18.3145i	0.370930	−	1.62515i	−0.353242	−	0.935532i	$-0.614921\pi$
$127$	4.18017	−	18.3145i	0.370930	−	1.62515i	0.724172	−	0.689619i	$-0.242222\pi$
$128$	2.42801			0.214607
$129$	8.79230			0.774119
$130$	0.516958	−	2.26494i	0.0453402	−	0.198648i
$131$	−0.222064	+	0.106940i	−0.0194018	+	0.00934343i	−0.443559	−	0.896245i	$-0.646285\pi$
$131$	−0.222064	+	0.106940i	−0.0194018	+	0.00934343i	0.424158	+	0.905588i	$0.360570\pi$
$132$	2.96706	+	3.72057i	0.258249	+	0.323834i
$133$	7.08334	−	0.885661i	0.614204	−	0.0767966i
$134$	5.81077	−	7.28648i	0.501974	−	0.629456i
$135$	−1.04408	+	4.57440i	−0.0898599	+	0.393702i
$136$	2.75765	−	3.45798i	0.236466	−	0.296520i
$137$	−16.1095	+	7.75791i	−1.37632	+	0.662803i	−0.968212	−	0.250129i	$-0.919527\pi$
$137$	−16.1095	+	7.75791i	−1.37632	+	0.662803i	−0.408112	+	0.912932i	$0.633813\pi$
$138$	−13.5273	−	16.9628i	−1.15152	−	1.44397i
$139$	−0.298270	−	0.143639i	−0.0252989	−	0.0121833i	0.421192	−	0.906972i	$-0.361612\pi$
$139$	−0.298270	−	0.143639i	−0.0252989	−	0.0121833i	−0.446490	+	0.894788i	$0.647326\pi$
$140$	0.584207	−	5.82196i	0.0493745	−	0.492045i
$141$	27.5810	−	13.2823i	2.32274	−	1.11857i
$142$	−0.305152	−	0.146953i	−0.0256078	−	0.0123321i
$143$	0.420163	+	1.84086i	0.0351358	+	0.153940i
$144$	3.85462	+	1.85629i	0.321218	+	0.154691i
$145$	−7.90881	+	9.91734i	−0.656791	+	0.823590i
$146$	−12.3209			−1.01969
$147$	17.8737	+	3.62358i	1.47420	+	0.298868i
$148$	5.83889			0.479954
$149$	0.670970	−	0.841370i	0.0549680	−	0.0689277i	−0.753588	−	0.657348i	$-0.771678\pi$
$149$	0.670970	−	0.841370i	0.0549680	−	0.0689277i	0.808556	+	0.588420i	$0.200250\pi$
$150$	−0.540483	−	0.260283i	−0.0441302	−	0.0212520i
$151$	−0.275989	−	1.20919i	−0.0224597	−	0.0984023i	0.962456	−	0.271439i	$-0.0874994\pi$
$151$	−0.275989	−	1.20919i	−0.0224597	−	0.0984023i	−0.984915	+	0.173036i	$0.944642\pi$
$152$	7.33015	+	3.53001i	0.594553	+	0.286322i
$153$	−5.00560	+	2.41057i	−0.404679	+	0.194883i
$154$	−1.73497	−	4.77091i	−0.139808	−	0.384451i
$155$	19.2222	+	9.25691i	1.54396	+	0.743533i
$156$	−1.57137	−	1.97044i	−0.125810	−	0.157761i
$157$	−7.17709	+	3.45631i	−0.572794	+	0.275843i	−0.697776	−	0.716316i	$-0.745827\pi$
$157$	−7.17709	+	3.45631i	−0.572794	+	0.275843i	0.124982	+	0.992159i	$0.460113\pi$
$158$	−4.95890	+	6.21826i	−0.394509	+	0.494698i
$159$	6.72272	−	29.4542i	0.533146	−	2.33587i
$160$	6.96026	−	8.72789i	0.550257	−	0.690000i
$161$	−7.40993	−	20.3762i	−0.583984	−	1.60587i
$162$	3.81176	+	4.77980i	0.299481	+	0.375537i
$163$	2.24492	−	1.08110i	0.175836	−	0.0846780i	−0.343895	−	0.939008i	$-0.611747\pi$
$163$	2.24492	−	1.08110i	0.175836	−	0.0846780i	0.519731	+	0.854330i	$0.326032\pi$
$164$	−0.784975	+	3.43920i	−0.0612962	+	0.268556i
$165$	11.2465			0.875543
$166$	11.3772			0.883040
$167$	3.01306	−	13.2011i	0.233157	−	1.02153i	−0.713845	−	0.700303i	$-0.753048\pi$
$167$	3.01306	−	13.2011i	0.233157	−	1.02153i	0.947003	−	0.321226i	$-0.104095\pi$
$168$	14.8755	+	14.5172i	1.14767	+	1.12003i
$169$	−0.222521	−	0.974928i	−0.0171170	−	0.0749945i
$170$	−0.758263	−	3.32217i	−0.0581561	−	0.254799i
$171$	−6.37190	−	7.99011i	−0.487271	−	0.611019i
$172$	2.03543	+	2.55234i	0.155200	+	0.194614i
$173$	−0.380937	−	1.66899i	−0.0289621	−	0.126891i	0.958380	−	0.285495i	$-0.0921579\pi$
$173$	−0.380937	−	1.66899i	−0.0289621	−	0.126891i	−0.987342	+	0.158604i	$0.949301\pi$
$174$	−3.26875	−	14.3213i	−0.247803	−	1.08570i
$175$	−0.429040	−	0.418706i	−0.0324324	−	0.0316512i
$176$	0.474579	−	2.07927i	0.0357727	−	0.156731i
$177$	−2.81835			−0.211840
$178$	10.1317			0.759404
$179$	−1.36729	+	5.99047i	−0.102196	+	0.447749i	0.897778	+	0.440449i	$0.145181\pi$
$179$	−1.36729	+	5.99047i	−0.102196	+	0.447749i	−0.999973	+	0.00729965i	$0.997676\pi$
$180$	−7.54722	+	3.63455i	−0.562536	+	0.270903i
$181$	2.88219	+	3.61415i	0.214231	+	0.268638i	0.877323	−	0.479901i	$-0.159327\pi$
$181$	2.88219	+	3.61415i	0.214231	+	0.268638i	−0.663091	+	0.748538i	$0.730756\pi$
$182$	0.918850	+	2.52670i	0.0681097	+	0.187292i
$183$	−10.8246	+	13.5737i	−0.800181	+	1.00339i
$184$	5.49871	−	24.0914i	0.405370	−	1.77604i
$185$	8.60364	−	10.7886i	0.632552	−	0.793196i
$186$	−22.2603	+	10.7200i	−1.63221	+	0.786030i
$187$	1.72680	+	2.16534i	0.126276	+	0.158345i
$188$	10.2408	+	4.93171i	0.746887	+	0.359682i
$189$	−1.85576	−	5.10307i	−0.134987	−	0.371194i
$190$	5.64744	−	2.71967i	0.409709	−	0.197305i
$191$	17.5221	+	8.43821i	1.26786	+	0.610568i	0.942241	−	0.334935i	$-0.108714\pi$
$191$	17.5221	+	8.43821i	1.26786	+	0.610568i	0.325615	+	0.945502i	$0.394429\pi$
$192$	4.18636	+	18.3416i	0.302124	+	1.32369i
$193$	7.54246	+	3.63226i	0.542918	+	0.261456i	0.685181	−	0.728373i	$-0.259723\pi$
$193$	7.54246	+	3.63226i	0.542918	+	0.261456i	−0.142262	+	0.989829i	$0.545438\pi$
$194$	−4.97128	+	6.23379i	−0.356917	+	0.447560i
$195$	−5.95624			−0.426535
$196$	3.08588	+	6.02747i	0.220420	+	0.430534i
$197$	−15.4542			−1.10107			−0.550535	−	0.834812i	$-0.685576\pi$
$197$	−15.4542			−1.10107			−0.550535	+	0.834812i	$0.685576\pi$
$198$	−4.53141	+	5.68221i	−0.322033	+	0.403817i
$199$	−3.31387	−	1.59588i	−0.234914	−	0.113129i	0.312724	−	0.949844i	$-0.398759\pi$
$199$	−3.31387	−	1.59588i	−0.234914	−	0.113129i	−0.547638	+	0.836715i	$0.684473\pi$
$200$	−0.152037	−	0.666118i	−0.0107506	−	0.0471017i
$201$	−21.5279	−	10.3673i	−1.51846	−	0.731253i
$202$	0.826179	−	0.397867i	0.0581297	−	0.0279938i
$203$	1.46570	−	14.6065i	0.102872	−	1.02518i
$204$	−3.33061	−	1.60394i	−0.233189	−	0.112298i
$205$	5.19801	+	6.51810i	0.363045	+	0.455244i
$206$	−9.35820	+	4.50667i	−0.652017	+	0.313995i
$207$	−19.3533	+	24.2683i	−1.34515	+	1.68676i
$208$	−0.251340	+	1.10119i	−0.0174273	+	0.0763539i
$209$	−3.17639	+	3.98307i	−0.219716	+	0.275515i
$210$	15.8901	−	1.98681i	1.09652	−	0.137103i
$211$	−5.07871	−	6.36850i	−0.349633	−	0.438426i	0.575654	−	0.817693i	$-0.304747\pi$
$211$	−5.07871	−	6.36850i	−0.349633	−	0.438426i	−0.925287	+	0.379268i	$0.876176\pi$
$212$	10.1066	−	4.86711i	0.694128	−	0.334274i
$213$	−0.193226	+	0.846577i	−0.0132396	+	0.0580065i
$214$	14.9932			1.02492
$215$	7.71522			0.526174
$216$	1.37711	−	6.03351i	0.0937005	−	0.410529i
$217$	−24.4999	+	3.06333i	−1.66316	+	0.207952i
$218$	−2.87795	−	12.6091i	−0.194919	−	0.853998i
$219$	7.02914	+	30.7967i	0.474985	+	2.08105i
$220$	2.60359	+	3.26479i	0.175534	+	0.220112i
$221$	−0.914522	−	1.14677i	−0.0615174	−	0.0771404i
$222$	3.55593	+	15.5795i	0.238658	+	1.04563i
$223$	0.317883	+	1.39274i	0.0212870	+	0.0932645i	0.984456	−	0.175634i	$-0.0561975\pi$
$223$	0.317883	+	1.39274i	0.0212870	+	0.0932645i	−0.963169	+	0.268898i	$0.913340\pi$
$224$	−1.28991	+	12.8547i	−0.0861855	+	0.858888i
$225$	−0.190979	+	0.836735i	−0.0127320	+	0.0557823i
$226$	−9.60122			−0.638664
$227$	−17.1962			−1.14136			−0.570678	−	0.821174i	$-0.693319\pi$
$227$	−17.1962			−1.14136			−0.570678	+	0.821174i	$0.693319\pi$
$228$	1.51314	−	6.62948i	0.100210	−	0.439048i
$229$	4.34651	−	2.09317i	0.287226	−	0.138321i	−0.284724	−	0.958610i	$-0.591902\pi$
$229$	4.34651	−	2.09317i	0.287226	−	0.138321i	0.571949	+	0.820289i	$0.306188\pi$
$230$	−11.8702	−	14.8848i	−0.782699	−	0.981473i
$231$	−10.9353	+	7.05845i	−0.719488	+	0.464412i
$232$	10.4315	−	13.0807i	0.684862	−	0.858790i
$233$	0.311275	−	1.36379i	0.0203923	−	0.0893446i	−0.963708	−	0.266960i	$-0.913981\pi$
$233$	0.311275	−	1.36379i	0.0203923	−	0.0893446i	0.984100	+	0.177615i	$0.0568381\pi$
$234$	2.39986	−	3.00933i	0.156884	−	0.196726i
$235$	24.2023	−	11.6552i	1.57878	−	0.760302i
$236$	−0.652451	−	0.818147i	−0.0424709	−	0.0532569i
$237$	18.3719	+	8.84743i	1.19338	+	0.574702i
$238$	2.82230	+	2.75433i	0.182943	+	0.178536i
$239$	5.06792	−	2.44058i	0.327817	−	0.157868i	−0.262735	−	0.964868i	$-0.584625\pi$
$239$	5.06792	−	2.44058i	0.327817	−	0.157868i	0.590552	+	0.807000i	$0.298910\pi$
$240$	6.06139	+	2.91901i	0.391261	+	0.188421i
$241$	−5.91867	−	25.9314i	−0.381255	−	1.67039i	−0.693556	−	0.720403i	$-0.743957\pi$
$241$	−5.91867	−	25.9314i	−0.381255	−	1.67039i	0.312301	−	0.949983i	$-0.398900\pi$
$242$	−6.80690	−	3.27803i	−0.437564	−	0.210720i
$243$	13.6116	−	17.0683i	0.873181	−	1.09493i
$244$	−6.44626			−0.412679
$245$	15.6841	+	3.17968i	1.00202	+	0.203142i
$246$	−9.65466			−0.615559
$247$	1.68224	−	2.10946i	0.107038	−	0.134222i
$248$	−25.3535	−	12.2096i	−1.60995	−	0.775311i
$249$	−6.49072	−	28.4377i	−0.411333	−	1.80217i
$250$	9.99133	+	4.81157i	0.631907	+	0.304310i
$251$	−21.8527	+	10.5237i	−1.37933	+	0.664250i	−0.968857	−	0.247622i	$-0.920351\pi$
$251$	−21.8527	+	10.5237i	−1.37933	+	0.664250i	−0.410473	+	0.911873i	$0.634637\pi$
$252$	5.05725	−	8.27066i	0.318577	−	0.521003i
$253$	13.9413	+	6.71375i	0.876479	+	0.422090i
$254$	11.9022	+	14.9249i	0.746811	+	0.936472i
$255$	−7.87130	+	3.79062i	−0.492920	+	0.237378i
$256$	−10.5429	+	13.2204i	−0.658931	+	0.826273i
$257$	−1.26500	+	5.54231i	−0.0789083	+	0.345720i	−0.998935	−	0.0461353i	$-0.985309\pi$
$257$	−1.26500	+	5.54231i	−0.0789083	+	0.345720i	0.920027	+	0.391855i	$0.128167\pi$
$258$	−5.57067	+	6.98539i	−0.346815	+	0.434892i
$259$	−1.59447	+	15.8898i	−0.0990752	+	0.987342i
$260$	−1.37887	−	1.72905i	−0.0855142	−	0.107231i
$261$	−18.9350	+	9.11859i	−1.17204	+	0.564427i
$262$	0.0557333	−	0.244183i	0.00344321	−	0.0150857i
$263$	25.1973			1.55373			0.776865	−	0.629667i	$-0.216809\pi$
$263$	25.1973			1.55373			0.776865	+	0.629667i	$0.216809\pi$
$264$	−14.8339			−0.912963
$265$	5.89917	−	25.8460i	0.362383	−	1.58770i
$266$	−3.78425	+	6.18879i	−0.232027	+	0.379459i
$267$	−5.78018	−	25.3246i	−0.353741	−	1.54984i
$268$	−1.97418	−	8.64944i	−0.120592	−	0.528349i
$269$	−18.7870	−	23.5582i	−1.14547	−	1.43637i	−0.881719	−	0.471776i	$-0.843613\pi$
$269$	−18.7870	−	23.5582i	−1.14547	−	1.43637i	−0.263747	−	0.964592i	$-0.584958\pi$
$270$	−2.97281	−	3.72778i	−0.180919	−	0.226865i
$271$	2.99980	+	13.1430i	0.182225	+	0.798379i	0.980569	+	0.196177i	$0.0628526\pi$
$271$	2.99980	+	13.1430i	0.182225	+	0.798379i	−0.798344	+	0.602202i	$0.794290\pi$
$272$	0.368660	+	1.61520i	0.0223533	+	0.0979361i
$273$	5.79139	−	3.73820i	0.350511	−	0.226246i
$274$	4.04313	−	17.7141i	0.244254	−	1.07015i
$275$	0.427840			0.0257997
$276$	−20.6535			−1.24320
$277$	4.28216	−	18.7614i	0.257290	−	1.12726i	−0.666845	−	0.745196i	$-0.732356\pi$
$277$	4.28216	−	18.7614i	0.257290	−	1.12726i	0.924135	−	0.382065i	$-0.124787\pi$
$278$	0.303099	−	0.145965i	0.0181787	−	0.00875439i
$279$	22.0391	+	27.6362i	1.31945	+	1.65454i
$280$	13.0532	+	12.7388i	0.780079	+	0.761290i
$281$	−17.6175	+	22.0916i	−1.05097	+	1.31787i	−0.104697	+	0.994504i	$0.533387\pi$
$281$	−17.6175	+	22.0916i	−1.05097	+	1.31787i	−0.946273	+	0.323370i	$0.895184\pi$
$282$	−6.92224	+	30.3283i	−0.412214	+	1.80603i
$283$	−7.87527	+	9.87528i	−0.468136	+	0.587025i	−0.958714	−	0.284373i	$-0.908215\pi$
$283$	−7.87527	+	9.87528i	−0.468136	+	0.587025i	0.490577	+	0.871398i	$0.336786\pi$
$284$	−0.290487	+	0.139891i	−0.0172372	+	0.00830102i
$285$	−10.0198	−	12.5644i	−0.593522	−	0.744253i
$286$	−1.72875	−	0.832522i	−0.102223	−	0.0492281i
$287$	−9.14497	−	3.07537i	−0.539810	−	0.181533i
$288$	16.6640	−	8.02494i	0.981934	−	0.472874i
$289$	13.3781	+	6.44255i	0.786946	+	0.378973i
$290$	−2.86832	−	12.5669i	−0.168434	−	0.737956i
$291$	18.4177	+	8.86952i	1.07967	+	0.519941i
$292$	−7.31280	+	9.16997i	−0.427949	+	0.536632i
$293$	−4.92697			−0.287837			−0.143918	−	0.989590i	$-0.545970\pi$
$293$	−4.92697			−0.287837			−0.143918	+	0.989590i	$0.545970\pi$
$294$	−14.2034	+	11.9046i	−0.828359	+	0.694293i
$295$	−2.47310			−0.143989
$296$	−11.3480	+	14.2299i	−0.659588	+	0.827097i
$297$	3.49148	+	1.68141i	0.202596	+	0.0975653i
$298$	0.243344	+	1.06616i	0.0140965	+	0.0617609i
$299$	−7.38337	−	3.55564i	−0.426991	−	0.205628i
$300$	−0.514509	+	0.247774i	−0.0297052	+	0.0143053i
$301$	−7.50169	+	4.84215i	−0.432390	+	0.279097i
$302$	1.13555	+	0.546852i	0.0653436	+	0.0314678i
$303$	−1.46582	−	1.83808i	−0.0842093	−	0.105595i
$304$	−2.74573	+	1.32227i	−0.157478	+	0.0758376i
$305$	−9.49860	+	11.9109i	−0.543888	+	0.682014i
$306$	1.25630	−	5.50420i	0.0718178	−	0.314654i
$307$	9.71561	−	12.1830i	0.554499	−	0.695320i	−0.423031	−	0.906115i	$-0.639034\pi$
$307$	9.71561	−	12.1830i	0.554499	−	0.695320i	0.977530	+	0.210795i	$0.0676053\pi$
$308$	−4.58055	−	1.54040i	−0.261001	−	0.0877722i
$309$	16.6035	+	20.8201i	0.944540	+	1.18442i
$310$	−19.5334	+	9.40679i	−1.10942	+	0.534270i
$311$	−5.37807	+	23.5629i	−0.304962	+	1.33613i	0.557572	+	0.830129i	$0.311733\pi$
$311$	−5.37807	+	23.5629i	−0.304962	+	1.33613i	−0.862534	+	0.505999i	$0.831124\pi$
$312$	7.85612			0.444765
$313$	−16.6792			−0.942765			−0.471383	−	0.881929i	$-0.656245\pi$
$313$	−16.6792			−0.942765			−0.471383	+	0.881929i	$0.656245\pi$
$314$	1.80130	−	7.89199i	0.101653	−	0.445371i
$315$	−7.82997	−	21.5313i	−0.441169	−	1.21315i
$316$	1.68476	+	7.38141i	0.0947751	+	0.415237i
$317$	−0.493132	−	2.16055i	−0.0276971	−	0.121349i	0.959190	−	0.282764i	$-0.0912513\pi$
$317$	−0.493132	−	2.16055i	−0.0276971	−	0.121349i	−0.986887	+	0.161415i	$0.948394\pi$
$318$	19.1416	+	24.0028i	1.07341	+	1.34601i
$319$	6.53205	+	8.19093i	0.365725	+	0.458604i
$320$	3.67352	+	16.0947i	0.205356	+	0.899723i
$321$	−8.55371	−	37.4762i	−0.477421	−	2.09172i
$322$	20.8835	+	7.02294i	1.16379	+	0.391373i
$323$	0.880630	−	3.85829i	0.0489996	−	0.214681i
$324$	5.81980			0.323322
$325$	−0.226586			−0.0125688
$326$	−0.563426	+	2.46853i	−0.0312053	+	0.136719i
$327$	−29.8751	+	14.3871i	−1.65210	+	0.795609i
$328$	−6.85603	−	8.59719i	−0.378561	−	0.474701i
$329$	−16.2175	+	26.5222i	−0.894100	+	1.46222i
$330$	−7.12564	+	8.93527i	−0.392254	+	0.491871i
$331$	−1.44774	+	6.34296i	−0.0795750	+	0.348641i	−0.999004	−	0.0446146i	$-0.985794\pi$
$331$	−1.44774	+	6.34296i	−0.0795750	+	0.348641i	0.919429	+	0.393255i	$0.128651\pi$
$332$	6.75266	−	8.46756i	0.370600	−	0.464718i
$333$	20.5985	−	9.91971i	1.12879	−	0.543597i
$334$	8.57909	+	10.7578i	0.469427	+	0.588643i
$335$	−18.8907	−	9.09728i	−1.03211	−	0.497038i
$336$	−7.72562	+	0.965968i	−0.421467	+	0.0526979i
$337$	−13.1411	+	6.32843i	−0.715842	+	0.344732i	−0.756099	−	0.654458i	$-0.772897\pi$
$337$	−13.1411	+	6.32843i	−0.715842	+	0.344732i	0.0402560	+	0.999189i	$0.487183\pi$
$338$	0.915556	+	0.440909i	0.0497997	+	0.0239823i
$339$	5.47753	+	23.9986i	0.297499	+	1.30343i
$340$	−2.92260	−	1.40745i	−0.158500	−	0.0763298i
$341$	10.9865	−	13.7767i	0.594954	−	0.746048i
$342$	10.3852			0.561567
$343$	−17.2457	+	6.75185i	−0.931178	+	0.364566i
$344$	−10.1762			−0.548662
$345$	−30.4331	+	38.1619i	−1.63846	+	2.05457i
$346$	1.56735	+	0.754798i	0.0842615	+	0.0405782i
$347$	−0.672234	−	2.94525i	−0.0360874	−	0.158109i	0.953674	−	0.300843i	$-0.0972679\pi$
$347$	−0.672234	−	2.94525i	−0.0360874	−	0.158109i	−0.989761	+	0.142734i	$0.954411\pi$
$348$	−12.5989	−	6.06730i	−0.675371	−	0.325242i
$349$	−4.27933	+	2.06082i	−0.229067	+	0.110313i	−0.544897	−	0.838503i	$-0.683431\pi$
$349$	−4.27933	+	2.06082i	−0.229067	+	0.110313i	0.315830	+	0.948816i	$0.397717\pi$
$350$	0.604491	−	0.0755821i	0.0323114	−	0.00404003i
$351$	−1.84911	−	0.890484i	−0.0986981	−	0.0475305i
$352$	−5.74862	−	7.20854i	−0.306402	−	0.384217i
$353$	−31.1484	+	15.0003i	−1.65786	+	0.798384i	−0.658928	+	0.752206i	$0.728990\pi$
$353$	−31.1484	+	15.0003i	−1.65786	+	0.798384i	−0.998933	+	0.0461782i	$0.985296\pi$
$354$	1.78566	−	2.23915i	0.0949070	−	0.119010i
$355$	−0.169555	+	0.742869i	−0.00899905	+	0.0394274i
$356$	6.01344	−	7.54062i	0.318712	−	0.399652i
$357$	5.27442	−	8.62582i	0.279152	−	0.456527i
$358$	−3.89308	−	4.88176i	−0.205755	−	0.258009i
$359$	14.3548	−	6.91292i	0.757619	−	0.364850i	−0.0148607	−	0.999890i	$-0.504730\pi$
$359$	14.3548	−	6.91292i	0.757619	−	0.364850i	0.772480	+	0.635039i	$0.219016\pi$
$360$	5.81041	−	25.4571i	0.306235	−	1.34170i
$361$	−11.7203			−0.616856
$362$	−4.69752			−0.246896
$363$	−4.31021	+	18.8842i	−0.226227	+	0.991166i
$364$	2.42588	+	0.815803i	0.127151	+	0.0427597i
$365$	6.16805	+	27.0240i	0.322851	+	1.41450i
$366$	−3.92582	−	17.2001i	−0.205206	−	0.899066i
$367$	−10.9178	−	13.6905i	−0.569903	−	0.714636i	0.410451	−	0.911883i	$-0.365371\pi$
$367$	−10.9178	−	13.6905i	−0.569903	−	0.714636i	−0.980354	+	0.197247i	$0.936800\pi$
$368$	5.77118	+	7.23683i	0.300843	+	0.377246i
$369$	3.07363	+	13.4664i	0.160007	+	0.701035i
$370$	3.12032	+	13.6710i	0.162218	+	0.710722i
$371$	10.4853	+	28.8330i	0.544369	+	1.49693i
$372$	−5.23364	+	22.9301i	−0.271352	+	1.18887i
$373$	−2.51199			−0.130066			−0.0650330	−	0.997883i	$-0.520715\pi$
$373$	−2.51199			−0.130066			−0.0650330	+	0.997883i	$0.520715\pi$
$374$	−2.81441			−0.145530
$375$	6.32662	−	27.7187i	0.326705	−	1.43139i
$376$	−31.9222	+	15.3729i	−1.64626	+	0.792797i
$377$	−3.45941	−	4.33796i	−0.178169	−	0.223417i
$378$	5.23012	+	1.75884i	0.269008	+	0.0904651i
$379$	12.6166	−	15.8208i	0.648073	−	0.812658i	−0.343913	−	0.939001i	$-0.611753\pi$
$379$	12.6166	−	15.8208i	0.648073	−	0.812658i	0.991987	+	0.126343i	$0.0403241\pi$
$380$	1.32777	−	5.81736i	0.0681134	−	0.298424i
$381$	30.5151	−	38.2648i	1.56334	−	1.96036i
$382$	−17.8058	+	8.57483i	−0.911025	+	0.438727i
$383$	−5.90330	−	7.40251i	−0.301645	−	0.378251i	0.607790	−	0.794098i	$-0.292056\pi$
$383$	−5.90330	−	7.40251i	−0.301645	−	0.378251i	−0.909434	+	0.415848i	$0.863485\pi$
$384$	5.69931	+	2.74465i	0.290842	+	0.140062i
$385$	−9.59568	+	6.19377i	−0.489041	+	0.315664i
$386$	−7.66458	+	3.69107i	−0.390117	+	0.187870i
$387$	11.5168	+	5.54619i	0.585431	+	0.281928i
$388$	1.68897	+	7.39985i	0.0857443	+	0.375670i
$389$	13.4935	+	6.49812i	0.684147	+	0.329468i	0.743468	−	0.668771i	$-0.233179\pi$
$389$	13.4935	+	6.49812i	0.684147	+	0.329468i	−0.0593216	+	0.998239i	$0.518894\pi$
$390$	3.77378	−	4.73217i	0.191093	−	0.239623i
$391$	−12.0201			−0.607885
$392$	−20.6870	−	4.19391i	−1.04485	−	0.211825i
$393$	−0.642142			−0.0323918
$394$	9.79157	−	12.2782i	0.493292	−	0.618569i
$395$	16.1213	+	7.76360i	0.811149	+	0.390629i
$396$	1.53952	+	6.74509i	0.0773639	+	0.338953i
$397$	9.73379	+	4.68754i	0.488525	+	0.235261i	0.661896	−	0.749595i	$-0.269752\pi$
$397$	9.73379	+	4.68754i	0.488525	+	0.235261i	−0.173372	+	0.984856i	$0.555466\pi$
$398$	3.36753	−	1.62172i	0.168799	−	0.0812892i
$399$	17.6281	+	5.92816i	0.882507	+	0.296779i
$400$	0.230586	+	0.111045i	0.0115293	+	0.00555223i
$401$	8.30614	+	10.4156i	0.414789	+	0.520129i	0.944705	−	0.327921i	$-0.106348\pi$
$401$	8.30614	+	10.4156i	0.414789	+	0.520129i	−0.529916	+	0.848050i	$0.677777\pi$
$402$	21.8765	−	10.5352i	1.09110	−	0.525446i
$403$	−5.81853	+	7.29620i	−0.289841	+	0.363450i
$404$	0.194243	−	0.851036i	0.00966397	−	0.0423406i
$405$	8.57551	−	10.7533i	0.426120	−	0.534338i
$406$	10.6761	+	10.4189i	0.529845	+	0.517083i
$407$	−7.10592	−	8.91055i	−0.352228	−	0.441679i
$408$	10.3820	−	4.99972i	0.513987	−	0.247523i
$409$	−5.78141	+	25.3300i	−0.285872	+	1.25249i	0.604260	+	0.796787i	$0.293469\pi$
$409$	−5.78141	+	25.3300i	−0.285872	+	1.25249i	−0.890133	+	0.455702i	$0.849388\pi$
$410$	−8.47194			−0.418399
$411$	−46.5837			−2.29781
$412$	−2.20021	+	9.63976i	−0.108397	+	0.474917i
$413$	2.40465	−	1.55214i	0.118325	−	0.0763759i
$414$	−7.01896	−	30.7521i	−0.344963	−	1.51138i
$415$	−5.69559	−	24.9540i	−0.279586	−	1.22494i
$416$	3.04450	+	3.81769i	0.149269	+	0.187177i
$417$	−0.537764	−	0.674335i	−0.0263344	−	0.0330223i
$418$	−1.15200	−	5.04723i	−0.0563460	−	0.246868i
$419$	−6.77368	−	29.6774i	−0.330916	−	1.44984i	−0.817361	−	0.576126i	$-0.804564\pi$
$419$	−6.77368	−	29.6774i	−0.330916	−	1.44984i	0.486445	−	0.873711i	$-0.338294\pi$
$420$	7.95252	−	13.0056i	0.388043	−	0.634609i
$421$	−7.80816	+	34.2098i	−0.380547	+	1.66728i	0.315223	+	0.949018i	$0.397921\pi$
$421$	−7.80816	+	34.2098i	−0.380547	+	1.66728i	−0.695769	+	0.718265i	$0.744936\pi$
$422$	8.27750			0.402942
$423$	44.5061			2.16396
$424$	−7.78085	+	34.0901i	−0.377871	+	1.65556i
$425$	−0.299439	+	0.144202i	−0.0145249	+	0.00699483i
$426$	−0.550172	−	0.689894i	−0.0266559	−	0.0334255i
$427$	1.76032	−	17.5426i	0.0851880	−	0.848947i
$428$	8.89890	−	11.1589i	0.430144	−	0.539384i
$429$	−1.09466	+	4.79604i	−0.0528509	+	0.231555i
$430$	−4.88825	+	6.12967i	−0.235732	+	0.295599i
$431$	−17.5969	+	8.47421i	−0.847612	+	0.408188i	−0.806691	−	0.590974i	$-0.798744\pi$
$431$	−17.5969	+	8.47421i	−0.847612	+	0.408188i	−0.0409214	+	0.999162i	$0.513029\pi$
$432$	1.44535	+	1.81241i	0.0695393	+	0.0871995i
$433$	13.0505	+	6.28478i	0.627166	+	0.302027i	0.720339	−	0.693623i	$-0.243986\pi$
$433$	13.0505	+	6.28478i	0.627166	+	0.302027i	−0.0931723	+	0.995650i	$0.529701\pi$
$434$	13.0890	−	21.4058i	0.628291	−	1.02751i
$435$	−29.7752	+	14.3390i	−1.42761	+	0.687502i
$436$	−11.0926	−	5.34192i	−0.531239	−	0.255831i
$437$	−4.92010	−	21.5563i	−0.235360	−	1.03118i
$438$	−28.9212	−	13.9277i	−1.38191	−	0.665492i
$439$	12.4553	−	15.6184i	0.594459	−	0.745428i	−0.390044	−	0.920796i	$-0.627540\pi$
$439$	12.4553	−	15.6184i	0.594459	−	0.745428i	0.984503	+	0.175368i	$0.0561116\pi$
$440$	−13.0167			−0.620547
$441$	21.1265	+	16.0212i	1.00602	+	0.762912i
$442$	1.49053			0.0708972
$443$	6.10150	−	7.65104i	0.289891	−	0.363512i	−0.615466	−	0.788164i	$-0.711032\pi$
$443$	6.10150	−	7.65104i	0.289891	−	0.363512i	0.905357	+	0.424652i	$0.139603\pi$
$444$	13.7058	+	6.60035i	0.650447	+	0.313239i
$445$	−5.07210	−	22.2223i	−0.240440	−	1.05344i
$446$	−1.30792	−	0.629861i	−0.0619318	−	0.0298248i
$447$	2.52608	−	1.21649i	0.119479	−	0.0575382i
$448$	−13.6731	−	13.3437i	−0.645992	−	0.630433i
$449$	−28.3205	−	13.6384i	−1.33653	−	0.643637i	−0.377251	−	0.926111i	$-0.623130\pi$
$449$	−28.3205	−	13.6384i	−1.33653	−	0.643637i	−0.959275	+	0.282474i	$0.908845\pi$
$450$	−0.543776	−	0.681874i	−0.0256338	−	0.0321438i
$451$	6.20377	−	2.98758i	0.292124	−	0.140680i
$452$	−5.69858	+	7.14580i	−0.268039	+	0.336110i
$453$	0.719044	−	3.15034i	0.0337836	−	0.148016i
$454$	10.8953	−	13.6622i	0.511341	−	0.641201i
$455$	5.08193	−	3.28026i	0.238245	−	0.153781i
$456$	13.2159	+	16.5722i	0.618889	+	0.776062i
$457$	33.7964	−	16.2755i	1.58093	−	0.761335i	0.582263	−	0.813000i	$-0.302167\pi$
$457$	33.7964	−	16.2755i	1.58093	−	0.761335i	0.998664	+	0.0516657i	$0.0164530\pi$
$458$	−1.09088	+	4.77946i	−0.0509735	+	0.223329i
$459$	−3.01035			−0.140511
$460$	−18.1234			−0.845009
$461$	3.49552	−	15.3149i	0.162802	−	0.713284i	−0.825953	−	0.563740i	$-0.809362\pi$
$461$	3.49552	−	15.3149i	0.162802	−	0.713284i	0.988755	−	0.149545i	$-0.0477807\pi$
$462$	1.32056	−	13.1601i	0.0614378	−	0.612263i
$463$	−7.34547	−	32.1826i	−0.341373	−	1.49565i	−0.796178	−	0.605062i	$-0.793148\pi$
$463$	−7.34547	−	32.1826i	−0.341373	−	1.49565i	0.454805	−	0.890591i	$-0.349709\pi$
$464$	1.39455	+	6.10992i	0.0647403	+	0.283646i
$465$	34.6565	+	43.4579i	1.60716	+	2.01531i
$466$	0.886296	+	1.11138i	0.0410568	+	0.0514837i
$467$	−3.15485	−	13.8223i	−0.145989	−	0.639619i	−0.993976	−	0.109602i	$-0.965042\pi$
$467$	−3.15485	−	13.8223i	−0.145989	−	0.639619i	0.847987	−	0.530018i	$-0.177815\pi$
$468$	−0.815340	−	3.57224i	−0.0376891	−	0.165127i
$469$	24.0774	−	3.01050i	1.11179	−	0.139012i
$470$	−6.07425	+	26.6130i	−0.280184	+	1.22757i
$471$	−20.7540			−0.956294
$472$	3.26195			0.150143
$473$	1.41794	−	6.21240i	0.0651969	−	0.285646i
$474$	−18.6693	+	8.99067i	−0.857511	+	0.412955i
$475$	−0.381172	−	0.477975i	−0.0174894	−	0.0219310i
$476$	3.72505	−	0.465759i	0.170737	−	0.0213480i
$477$	27.3856	−	34.3404i	1.25390	−	1.57234i
$478$	−1.27194	+	5.57273i	−0.0581771	+	0.254891i
$479$	18.4665	−	23.1562i	0.843755	−	1.05804i	−0.153797	−	0.988103i	$-0.549150\pi$
$479$	18.4665	−	23.1562i	0.843755	−	1.05804i	0.997552	−	0.0699327i	$-0.0222785\pi$
$480$	26.2041	−	12.6192i	1.19605	−	0.575986i
$481$	3.76334	+	4.71908i	0.171593	+	0.215171i
$482$	24.3522	+	11.7274i	1.10921	+	0.534168i
$483$	5.64000	−	56.2058i	0.256629	−	2.55745i
$484$	−6.47978	+	3.12050i	−0.294536	+	0.141841i
$485$	16.1615	+	7.78299i	0.733858	+	0.353407i
$486$	4.93656	+	21.6285i	0.223927	+	0.981088i
$487$	29.4615	+	14.1879i	1.33503	+	0.642915i	0.958924	−	0.283662i	$-0.0915495\pi$
$487$	29.4615	+	14.1879i	1.33503	+	0.642915i	0.376103	+	0.926578i	$0.377264\pi$
$488$	12.5284	−	15.7101i	0.567134	−	0.711163i
$489$	6.49163			0.293562
$490$	−12.4635	+	10.4463i	−0.563042	+	0.471916i
$491$	12.7191			0.574005			0.287003	−	0.957930i	$-0.407341\pi$
$491$	12.7191			0.574005			0.287003	+	0.957930i	$0.407341\pi$
$492$	−5.73030	+	7.18557i	−0.258342	+	0.323950i
$493$	−7.33242	−	3.53111i	−0.330236	−	0.159033i
$494$	0.610104	+	2.67304i	0.0274499	+	0.120266i
$495$	14.7315	+	7.09433i	0.662133	+	0.318866i
$496$	9.49694	−	4.57348i	0.426425	−	0.205355i
$497$	−0.301370	−	0.828723i	−0.0135183	−	0.0371733i
$498$	26.7059	+	12.8609i	1.19672	+	0.576310i
$499$	9.29751	+	11.6587i	0.416214	+	0.521916i	0.945102	−	0.326776i	$-0.105962\pi$
$499$	9.29751	+	11.6587i	0.416214	+	0.521916i	−0.528888	+	0.848692i	$0.677391\pi$
$500$	9.51118	−	4.58034i	0.425353	−	0.204839i
$501$	21.9952	−	27.5812i	0.982675	−	1.23224i
$502$	5.48456	−	24.0294i	0.244788	−	1.07248i
$503$	−17.6987	+	22.1934i	−0.789144	+	0.989555i	0.210784	+	0.977533i	$0.432398\pi$
$503$	−17.6987	+	22.1934i	−0.789144	+	0.989555i	−0.999928	+	0.0120224i	$0.996173\pi$
$504$	10.3275	+	28.3991i	0.460024	+	1.26500i
$505$	−1.28626	−	1.61291i	−0.0572376	−	0.0717737i
$506$	−14.1670	+	6.82246i	−0.629799	+	0.303295i
$507$	0.579741	−	2.54001i	0.0257472	−	0.112806i
$508$	18.1723			0.806264
$509$	−13.2861			−0.588896			−0.294448	−	0.955667i	$-0.595136\pi$
$509$	−13.2861			−0.588896			−0.294448	+	0.955667i	$0.595136\pi$
$510$	1.97553	−	8.65535i	0.0874778	−	0.383265i
$511$	−22.9579	−	22.4049i	−1.01560	−	0.991136i
$512$	−2.74307	−	12.0182i	−0.121228	−	0.531134i
$513$	−1.23220	−	5.39862i	−0.0544030	−	0.238355i
$514$	−3.60183	−	4.51655i	−0.158870	−	0.199217i
$515$	14.5695	+	18.2696i	0.642011	+	0.805056i
$516$	1.89260	+	8.29204i	0.0833172	+	0.365037i
$517$	−4.93692	−	21.6300i	−0.217125	−	0.951288i
$518$	−11.6140	−	11.3343i	−0.510291	−	0.498000i
$519$	0.992467	−	4.34828i	0.0435645	−	0.190868i
$520$	6.89373			0.302310
$521$	2.21095			0.0968635			0.0484318	−	0.998826i	$-0.484578\pi$
$521$	2.21095			0.0968635			0.0484318	+	0.998826i	$0.484578\pi$
$522$	4.75226	−	20.8210i	0.208001	−	0.911312i
$523$	−18.2534	+	8.79036i	−0.798164	+	0.384376i	−0.788079	−	0.615573i	$-0.788924\pi$
$523$	−18.2534	+	8.79036i	−0.798164	+	0.384376i	−0.0100848	+	0.999949i	$0.503210\pi$
$524$	−0.148657	−	0.186409i	−0.00649409	−	0.00814333i
$525$	−0.533785	−	1.46783i	−0.0232963	−	0.0640613i
$526$	−15.9646	+	20.0190i	−0.696090	+	0.872869i
$527$	−3.04593	+	13.3451i	−0.132683	+	0.581320i
$528$	3.46441	−	4.34424i	0.150769	−	0.189059i
$529$	−39.7839	+	19.1589i	−1.72973	+	0.832996i
$530$	16.7967	+	21.0624i	0.729603	+	0.914894i
$531$	−3.69167	−	1.77782i	−0.160205	−	0.0771507i
$532$	2.36001	+	6.48967i	0.102319	+	0.281363i
$533$	−3.28555	+	1.58224i	−0.142313	+	0.0685344i
$534$	23.7824	+	11.4530i	1.02916	+	0.495620i
$535$	−7.50586	−	32.8853i	−0.324507	−	1.42176i
$536$	24.9163	+	11.9991i	1.07622	+	0.518281i
$537$	−9.98115	+	12.5160i	−0.430718	+	0.540104i
$538$	30.6199			1.32012
$539$	5.44282	−	12.0447i	0.234439	−	0.518802i
$540$	−4.53887			−0.195322
$541$	20.8150	−	26.1012i	0.894907	−	1.12218i	−0.0970088	−	0.995284i	$-0.530927\pi$
$541$	20.8150	−	26.1012i	0.894907	−	1.12218i	0.991916	−	0.126895i	$-0.0405011\pi$
$542$	−12.3426	−	5.94388i	−0.530159	−	0.255311i
$543$	2.67995	+	11.7416i	0.115008	+	0.503882i
$544$	6.45300	+	3.10760i	0.276670	+	0.133237i
$545$	−26.2154	+	12.6247i	−1.12294	+	0.540781i
$546$	−0.699374	+	6.96966i	−0.0299304	+	0.298274i
$547$	32.3957	+	15.6009i	1.38514	+	0.667048i	0.970089	−	0.242751i	$-0.0780497\pi$
$547$	32.3957	+	15.6009i	1.38514	+	0.667048i	0.415050	+	0.909798i	$0.363764\pi$
$548$	−10.7842	−	13.5229i	−0.460677	−	0.577671i
$549$	−22.7412	+	10.9516i	−0.970569	+	0.467401i
$550$	−0.271073	+	0.339914i	−0.0115586	+	0.0144940i
$551$	3.33121	−	14.5950i	0.141914	−	0.621767i
$552$	40.1404	−	50.3345i	1.70849	−	2.14238i
$553$	−20.5476	+	2.56916i	−0.873773	+	0.109252i
$554$	12.1926	+	15.2891i	0.518014	+	0.649570i
$555$	32.3911	−	15.5987i	1.37493	−	0.662129i
$556$	0.0712618	−	0.312218i	0.00302217	−	0.0132410i
$557$	−24.8011			−1.05086			−0.525428	−	0.850838i	$-0.676095\pi$
$557$	−24.8011			−1.05086			−0.525428	+	0.850838i	$0.676095\pi$
$558$	−35.9204			−1.52063
$559$	−0.750949	+	3.29012i	−0.0317618	+	0.139157i
$560$	−6.77922	+	0.847635i	−0.286474	+	0.0358191i
$561$	1.60563	+	7.03473i	0.0677898	+	0.297007i
$562$	−6.38940	−	27.9938i	−0.269521	−	1.18085i
$563$	−9.35338	−	11.7288i	−0.394198	−	0.494309i	0.544639	−	0.838671i	$-0.316667\pi$
$563$	−9.35338	−	11.7288i	−0.394198	−	0.494309i	−0.938837	+	0.344362i	$0.888095\pi$
$564$	18.4636	+	23.1526i	0.777458	+	0.974901i
$565$	4.80652	+	21.0588i	0.202212	+	0.885948i
$566$	−2.85616	−	12.5137i	−0.120053	−	0.525988i
$567$	−1.58925	+	15.8378i	−0.0667423	+	0.665125i
$568$	0.223639	−	0.979825i	0.00938367	−	0.0411125i
$569$	15.2414			0.638951			0.319475	−	0.947595i	$-0.396493\pi$
$569$	15.2414			0.638951			0.319475	+	0.947595i	$0.396493\pi$
$570$	16.3307			0.684018
$571$	6.47750	−	28.3798i	0.271075	−	1.18766i	−0.637671	−	0.770309i	$-0.720102\pi$
$571$	6.47750	−	28.3798i	0.271075	−	1.18766i	0.908746	−	0.417349i	$-0.137041\pi$
$572$	−1.64567	+	0.792514i	−0.0688090	+	0.0331367i
$573$	31.5914	+	39.6144i	1.31975	+	1.65492i
$574$	8.23746	−	5.31708i	0.343825	−	0.221931i
$575$	−1.15773	+	1.45175i	−0.0482808	+	0.0605422i
$576$	−6.08632	+	26.6659i	−0.253597	+	1.11108i
$577$	−26.8562	+	33.6766i	−1.11804	+	1.40197i	−0.212786	+	0.977099i	$0.568254\pi$
$577$	−26.8562	+	33.6766i	−1.11804	+	1.40197i	−0.905251	+	0.424876i	$0.860318\pi$
$578$	−13.5947	+	6.54686i	−0.565465	+	0.272313i
$579$	13.5987	+	17.0522i	0.565141	+	0.708664i
$580$	−11.0555	−	5.32404i	−0.459054	−	0.221069i
$581$	21.1994	+	20.6888i	0.879497	+	0.858314i
$582$	−18.7159	+	9.01313i	−0.775801	+	0.373606i
$583$	−19.7273	−	9.50018i	−0.817022	−	0.393457i
$584$	−8.13550	−	35.6439i	−0.336649	−	1.47496i
$585$	−7.80190	−	3.75720i	−0.322569	−	0.155341i
$586$	3.12165	−	3.91443i	0.128954	−	0.161704i
$587$	−18.2184			−0.751956			−0.375978	−	0.926629i	$-0.622693\pi$
$587$	−18.2184			−0.751956			−0.375978	+	0.926629i	$0.622693\pi$
$588$	0.430036	+	17.6367i	0.0177344	+	0.727327i
$589$	−25.1792			−1.03749
$590$	1.56692	−	1.96485i	0.0645089	−	0.0808916i
$591$	−36.2761	−	17.4697i	−1.49220	−	0.718605i
$592$	−1.51707	−	6.64671i	−0.0623511	−	0.273178i
$593$	−7.50417	−	3.61382i	−0.308160	−	0.148402i	0.273412	−	0.961897i	$-0.411848\pi$
$593$	−7.50417	−	3.61382i	−0.308160	−	0.148402i	−0.581572	+	0.813495i	$0.697562\pi$
$594$	−3.54801	+	1.70863i	−0.145577	+	0.0701060i
$595$	4.62829	−	7.56914i	0.189741	−	0.310304i
$596$	0.937929	+	0.451683i	0.0384191	+	0.0185016i
$597$	−5.97473	−	7.49207i	−0.244529	−	0.306630i
$598$	7.50291	−	3.61321i	0.306817	−	0.147755i
$599$	19.1719	−	24.0408i	0.783344	−	0.982282i	−0.216638	−	0.976252i	$-0.569509\pi$
$599$	19.1719	−	24.0408i	0.783344	−	0.982282i	0.999982	−	0.00603006i	$-0.00191944\pi$
$600$	0.396107	−	1.73546i	0.0161710	−	0.0708498i
$601$	−10.6965	+	13.4129i	−0.436318	+	0.547125i	−0.950569	−	0.310515i	$-0.899499\pi$
$601$	−10.6965	+	13.4129i	−0.436318	+	0.547125i	0.514251	+	0.857640i	$0.328070\pi$
$602$	0.905912	−	9.02793i	0.0369222	−	0.367951i
$603$	−21.6591	−	27.1596i	−0.882026	−	1.10603i
$604$	1.08098	−	0.520572i	0.0439844	−	0.0211818i
$605$	−3.78220	+	16.5709i	−0.153768	+	0.673702i
$606$	2.38906			0.0970489
$607$	30.3218			1.23072			0.615362	−	0.788245i	$-0.289010\pi$
$607$	30.3218			1.23072			0.615362	+	0.788245i	$0.289010\pi$
$608$	−2.93167	+	12.8445i	−0.118895	+	0.520913i
$609$	19.9518	−	32.6293i	0.808488	−	1.32221i
$610$	−3.44490	−	15.0931i	−0.139480	−	0.611101i
$611$	2.61462	+	11.4554i	0.105776	+	0.463436i
$612$	−3.35090	−	4.20190i	−0.135452	−	0.169852i
$613$	7.13639	+	8.94875i	0.288236	+	0.361437i	0.904777	−	0.425887i	$-0.140038\pi$
$613$	7.13639	+	8.94875i	0.288236	+	0.361437i	−0.616540	+	0.787323i	$0.711466\pi$
$614$	3.52360	+	15.4379i	0.142201	+	0.623023i
$615$	4.83328	+	21.1760i	0.194896	+	0.853897i
$616$	12.6564	−	8.16942i	0.509943	−	0.329155i
$617$	−3.39930	+	14.8933i	−0.136851	+	0.599581i	0.859265	+	0.511530i	$0.170921\pi$
$617$	−3.39930	+	14.8933i	−0.136851	+	0.599581i	−0.996116	+	0.0880514i	$0.971936\pi$
$618$	−27.0611			−1.08856
$619$	−14.7547			−0.593042			−0.296521	−	0.955026i	$-0.595827\pi$
$619$	−14.7547			−0.593042			−0.296521	+	0.955026i	$0.595827\pi$
$620$	−4.59251	+	20.1211i	−0.184440	+	0.808083i
$621$	−15.1533	+	7.29745i	−0.608081	+	0.292837i
$622$	−15.3130	−	19.2019i	−0.613995	−	0.769926i
$623$	18.8787	+	18.4240i	0.756358	+	0.738140i
$624$	−1.83477	+	2.30073i	−0.0734497	+	0.0921030i
$625$	5.80370	−	25.4277i	0.232148	−	1.01711i
$626$	10.5677	−	13.2515i	0.422370	−	0.529636i
$627$	−11.9585	+	5.75893i	−0.477578	+	0.229989i
$628$	−4.80457	−	6.02474i	−0.191723	−	0.240413i
$629$	7.97661	+	3.84133i	0.318048	+	0.153164i
$630$	22.0673	+	7.42104i	0.879183	+	0.295661i
$631$	−30.0685	+	14.4802i	−1.19701	+	0.576448i	−0.922821	−	0.385229i	$-0.874123\pi$
$631$	−30.0685	+	14.4802i	−1.19701	+	0.576448i	−0.274186	+	0.961677i	$0.588408\pi$
$632$	−21.2635	−	10.2400i	−0.845818	−	0.407324i
$633$	−4.72235	−	20.6899i	−0.187696	−	0.822352i
$634$	2.02898	+	0.977104i	0.0805810	+	0.0388058i
$635$	26.7770	−	33.5773i	1.06261	−	1.33247i
$636$	29.2254			1.15886
$637$	−2.88255	+	6.37894i	−0.114211	+	0.252743i
$638$	−10.6462			−0.421488
$639$	−0.787122	+	0.987019i	−0.0311381	+	0.0390459i
$640$	5.00114	+	2.40842i	0.197687	+	0.0952012i
$641$	−6.74708	−	29.5609i	−0.266494	−	1.16759i	−0.914061	−	0.405577i	$-0.867071\pi$
$641$	−6.74708	−	29.5609i	−0.266494	−	1.16759i	0.647567	−	0.762009i	$-0.275787\pi$
$642$	35.1940	+	16.9485i	1.38900	+	0.668905i
$643$	−17.4554	+	8.40606i	−0.688372	+	0.331503i	−0.745162	−	0.666884i	$-0.767628\pi$
$643$	−17.4554	+	8.40606i	−0.688372	+	0.331503i	0.0567898	+	0.998386i	$0.481914\pi$
$644$	17.6218	−	11.3744i	0.694397	−	0.448216i
$645$	18.1101	+	8.72137i	0.713085	+	0.343404i
$646$	2.50742	+	3.14421i	0.0986532	+	0.123707i
$647$	−1.36538	+	0.657534i	−0.0536787	+	0.0258503i	−0.460531	−	0.887644i	$-0.652341\pi$
$647$	−1.36538	+	0.657534i	−0.0536787	+	0.0258503i	0.406852	+	0.913494i	$0.366627\pi$
$648$	−11.3109	+	14.1834i	−0.444333	+	0.557176i
$649$	−0.454517	+	1.99137i	−0.0178414	+	0.0781681i
$650$	0.143562	−	0.180021i	0.00563095	−	0.00706099i
$651$	−60.9720	−	20.5043i	−2.38968	−	0.803628i
$652$	1.50282	+	1.88447i	0.0588549	+	0.0738017i
$653$	−40.8579	+	19.6761i	−1.59889	+	0.769986i	−0.999535	−	0.0304954i	$-0.990292\pi$
$653$	−40.8579	+	19.6761i	−1.59889	+	0.769986i	−0.599358	+	0.800481i	$0.704577\pi$
$654$	7.49802	−	32.8510i	0.293196	−	1.28457i
$655$	−0.563479			−0.0220169
$656$	4.11897			0.160819
$657$	−10.2193	+	44.7736i	−0.398692	+	1.74679i
$658$	−10.7965	−	29.6887i	−0.420891	−	1.15739i
$659$	0.645088	+	2.82632i	0.0251291	+	0.110098i	0.985937	−	0.167117i	$-0.0534458\pi$
$659$	0.645088	+	2.82632i	0.0251291	+	0.110098i	−0.960808	+	0.277215i	$0.910589\pi$
$660$	2.42090	+	10.6066i	0.0942333	+	0.412863i
$661$	3.30025	+	4.13838i	0.128365	+	0.160964i	0.841860	−	0.539695i	$-0.181461\pi$
$661$	3.30025	+	4.13838i	0.128365	+	0.160964i	−0.713496	+	0.700660i	$0.752889\pi$
$662$	−4.12216	−	5.16902i	−0.160212	−	0.200900i
$663$	−0.850352	−	3.72563i	−0.0330249	−	0.144692i
$664$	7.51233	+	32.9137i	0.291535	+	1.27730i
$665$	15.4686	+	5.20195i	0.599846	+	0.201723i
$666$	−5.16978	+	22.6503i	−0.200325	+	0.877680i
$667$	−45.4692			−1.76058
$668$	13.0985			0.506798
$669$	−0.828190	+	3.62854i	−0.0320197	+	0.140287i
$670$	19.1966	−	9.24457i	0.741628	−	0.357149i
$671$	7.84509	+	9.83743i	0.302856	+	0.379770i
$672$	−17.5589	+	28.7159i	−0.677348	+	1.10774i
$673$	13.3245	−	16.7084i	0.513621	−	0.644061i	−0.455620	−	0.890175i	$-0.650582\pi$
$673$	13.3245	−	16.7084i	0.513621	−	0.644061i	0.969241	+	0.246114i	$0.0791537\pi$
$674$	3.29814	−	14.4501i	0.127040	−	0.556597i
$675$	−0.289945	+	0.363580i	−0.0111600	+	0.0139942i
$676$	0.871558	−	0.419720i	0.0335215	−	0.0161431i
$677$	8.58792	+	10.7689i	0.330060	+	0.413883i	0.918977	−	0.394311i	$-0.129017\pi$
$677$	8.58792	+	10.7689i	0.330060	+	0.413883i	−0.588917	+	0.808194i	$0.700445\pi$
$678$	−22.5372	−	10.8533i	−0.865534	−	0.416819i
$679$	−20.5989	+	2.57557i	−0.790514	+	0.0988414i
$680$	9.11021	−	4.38725i	0.349361	−	0.168243i
$681$	−40.3651	−	19.4388i	−1.54680	−	0.744897i
$682$	3.98453	+	17.4574i	0.152576	+	0.668477i
$683$	5.16440	+	2.48704i	0.197610	+	0.0951640i	0.530072	−	0.847953i	$-0.322165\pi$
$683$	5.16440	+	2.48704i	0.197610	+	0.0951640i	−0.332462	+	0.943117i	$0.607879\pi$
$684$	6.16389	−	7.72928i	0.235682	−	0.295536i
$685$	−40.8771			−1.56183
$686$	5.56230	−	17.9794i	0.212370	−	0.686455i
$687$	12.5688			0.479530
$688$	2.37662	−	2.98018i	0.0906076	−	0.113618i
$689$	10.4477	+	5.03135i	0.398026	+	0.191679i
$690$	−11.0373	−	48.3576i	−0.420183	−	1.84094i
$691$	−32.7456	−	15.7694i	−1.24570	−	0.599897i	−0.309344	−	0.950950i	$-0.600109\pi$
$691$	−32.7456	−	15.7694i	−1.24570	−	0.599897i	−0.936356	+	0.351053i	$0.885824\pi$
$692$	1.49203	−	0.718525i	0.0567186	−	0.0273142i
$693$	−18.7763	+	2.34768i	−0.713252	+	0.0891809i
$694$	2.76589	+	1.33198i	0.104992	+	0.0505613i
$695$	−0.471887	−	0.591728i	−0.0178997	−	0.0224455i
$696$	39.2727	−	18.9127i	1.48863	−	0.716885i
$697$	−3.33498	+	4.18193i	−0.126321	+	0.158402i
$698$	1.07402	−	4.70559i	0.0406523	−	0.178109i
$699$	2.27230	−	2.84938i	0.0859464	−	0.107773i
$700$	0.302529	−	0.494758i	0.0114345	−	0.0187001i
$701$	12.4950	+	15.6682i	0.471930	+	0.591782i	0.959643	−	0.281223i	$-0.0907400\pi$
$701$	12.4950	+	15.6682i	0.471930	+	0.591782i	−0.487712	+	0.873004i	$0.662169\pi$
$702$	1.87905	−	0.904902i	0.0709201	−	0.0341533i
$703$	−3.62387	+	15.8772i	−0.136677	+	0.598820i
$704$	13.6348			0.513882
$705$	69.9858			2.63582
$706$	7.81757	−	34.2510i	0.294218	−	1.28905i
$707$	2.26294	+	0.761005i	0.0851065	+	0.0286206i
$708$	−0.606670	−	2.65799i	−0.0228000	−	0.0998935i
$709$	7.53542	+	33.0148i	0.282998	+	1.23990i	0.893927	+	0.448212i	$0.147939\pi$
$709$	7.53542	+	33.0148i	0.282998	+	1.23990i	−0.610929	+	0.791685i	$0.709204\pi$
$710$	−0.482775	−	0.605381i	−0.0181182	−	0.0227195i
$711$	18.4838	+	23.1780i	0.693197	+	0.869242i
$712$	6.68996	+	29.3106i	0.250717	+	1.09846i
$713$	17.0176	+	74.5592i	0.637316	+	2.79226i
$714$	3.51134	+	9.65566i	0.131408	+	0.361354i
$715$	−0.960566	+	4.20851i	−0.0359231	+	0.157390i
$716$	−5.94394			−0.222136
$717$	14.6549			0.547298
$718$	−3.60275	+	15.7847i	−0.134454	+	0.589079i
$719$	22.2201	−	10.7006i	0.828670	−	0.399067i	0.0290541	−	0.999578i	$-0.490751\pi$
$719$	22.2201	−	10.7006i	0.828670	−	0.399067i	0.799616	+	0.600511i	$0.205036\pi$
$720$	6.09832	+	7.64705i	0.227271	+	0.284989i
$721$	−25.6325	−	8.61998i	−0.954604	−	0.321025i
$722$	7.42578	−	9.31163i	0.276359	−	0.346543i
$723$	15.4201	−	67.5598i	0.573479	−	2.51258i
$724$	−2.78810	+	3.49617i	−0.103619	+	0.129934i
$725$	−1.13270	+	0.545482i	−0.0420676	+	0.0202587i
$726$	−12.2725	−	15.3892i	−0.455474	−	0.571146i
$727$	−24.3894	−	11.7453i	−0.904554	−	0.435610i	−0.0770224	−	0.997029i	$-0.524541\pi$
$727$	−24.3894	−	11.7453i	−0.904554	−	0.435610i	−0.827532	+	0.561419i	$0.810256\pi$
$728$	−6.70293	+	4.32657i	−0.248427	+	0.160353i
$729$	34.9838	−	16.8473i	1.29569	−	0.623974i
$730$	−25.3783	−	12.2215i	−0.939293	−	0.452339i
$731$	1.10148	+	4.82588i	0.0407396	+	0.178492i
$732$	−15.1314	−	7.28692i	−0.559274	−	0.269332i
$733$	−7.48040	+	9.38013i	−0.276295	+	0.346463i	−0.900546	−	0.434761i	$-0.856833\pi$
$733$	−7.48040	+	9.38013i	−0.276295	+	0.346463i	0.624251	+	0.781224i	$0.285404\pi$
$734$	17.7943			0.656798
$735$	33.2214	+	25.1933i	1.22539	+	0.929268i
$736$	40.0158			1.47500
$737$	−10.7971	+	13.5391i	−0.397715	+	0.498719i
$738$	−12.6464	−	6.09016i	−0.465519	−	0.224182i
$739$	6.15210	+	26.9541i	0.226309	+	0.991523i	0.952621	+	0.304159i	$0.0983753\pi$
$739$	6.15210	+	26.9541i	0.226309	+	0.991523i	−0.726313	+	0.687364i	$0.758768\pi$
$740$	12.0268	+	5.79179i	0.442113	+	0.212910i
$741$	6.33331	−	3.04996i	0.232660	−	0.112043i
$742$	−29.5508	−	9.93769i	−1.08485	−	0.364824i
$743$	−35.9397	−	17.3077i	−1.31850	−	0.634956i	−0.363509	−	0.931590i	$-0.618422\pi$
$743$	−35.9397	−	17.3077i	−1.31850	−	0.634956i	−0.954991	+	0.296634i	$0.904136\pi$
$744$	−45.7110	−	57.3198i	−1.67585	−	2.10145i
$745$	2.21663	−	1.06747i	0.0812109	−	0.0391091i
$746$	1.59156	−	1.99575i	0.0582711	−	0.0730697i
$747$	9.43651	−	41.3441i	0.345264	−	1.51270i
$748$	−1.67043	+	2.09465i	−0.0610769	+	0.0765880i
$749$	27.9373	+	27.2644i	1.02081	+	0.996219i
$750$	18.0138	+	22.5886i	0.657772	+	0.824820i
$751$	19.1236	−	9.20946i	0.697832	−	0.336058i	−0.0511108	−	0.998693i	$-0.516276\pi$
$751$	19.1236	−	9.20946i	0.697832	−	0.336058i	0.748943	+	0.662635i	$0.230562\pi$
$752$	2.95324	−	12.9390i	0.107694	−	0.471836i
$753$	−63.1914			−2.30282
$754$	5.63830			0.205335
$755$	0.630959	−	2.76441i	0.0229630	−	0.100607i
$756$	4.41325	−	2.84864i	0.160508	−	0.103604i
$757$	−1.68072	−	7.36371i	−0.0610868	−	0.267639i	0.935157	−	0.354234i	$-0.115258\pi$
$757$	−1.68072	−	7.36371i	−0.0610868	−	0.267639i	−0.996244	+	0.0865955i	$0.972401\pi$
$758$	4.57573	+	20.0476i	0.166198	+	0.728161i
$759$	25.1353	+	31.5187i	0.912354	+	1.14406i
$760$	11.5969	+	14.5420i	0.420663	+	0.527495i
$761$	2.48705	+	10.8965i	0.0901556	+	0.394998i	0.999792	−	0.0204084i	$-0.00649665\pi$
$761$	2.48705	+	10.8965i	0.0901556	+	0.394998i	−0.909636	+	0.415406i	$0.863640\pi$
$762$	11.0671	+	48.4879i	0.400917	+	1.75653i
$763$	17.5664	−	28.7283i	0.635948	−	1.04003i
$764$	−4.18634	+	18.3415i	−0.151456	+	0.663574i
$765$	−12.7015			−0.459224
$766$	9.62146			0.347638
$767$	0.240715	−	1.05464i	0.00869171	−	0.0380809i
$768$	−39.6920	+	19.1147i	−1.43226	+	0.689741i
$769$	32.9726	+	41.3464i	1.18902	+	1.49099i	0.830094	+	0.557624i	$0.188287\pi$
$769$	32.9726	+	41.3464i	1.18902	+	1.49099i	0.358930	+	0.933364i	$0.383142\pi$
$770$	1.15878	−	11.5480i	0.0417597	−	0.416159i
$771$	−9.23445	+	11.5796i	−0.332571	+	0.417030i
$772$	−1.80202	+	7.89519i	−0.0648563	+	0.284154i
$773$	−30.6093	+	38.3828i	−1.10094	+	1.38053i	−0.183330	+	0.983052i	$0.558688\pi$
$773$	−30.6093	+	38.3828i	−1.10094	+	1.38053i	−0.917610	+	0.397483i	$0.869884\pi$
$774$	−11.7032	+	5.63598i	−0.420664	+	0.202581i
$775$	1.31840	+	1.65322i	0.0473583	+	0.0593854i
$776$	−21.3166	−	10.2655i	−0.765222	−	0.368512i
$777$	−21.7047	+	35.4960i	−0.778651	+	1.27341i
$778$	−13.7120	+	6.60333i	−0.491597	+	0.236741i
$779$	−8.86474	−	4.26904i	−0.317612	−	0.152954i
$780$	−1.28212	−	5.61734i	−0.0459073	−	0.201133i
$781$	0.567006	+	0.273056i	0.0202891	+	0.00977071i
$782$	7.61578	−	9.54988i	0.272340	−	0.341503i
$783$	−11.3874			−0.406953
$784$	6.05960	−	5.07888i	0.216414	−	0.181389i
$785$	−18.2116			−0.650000
$786$	0.406852	−	0.510176i	0.0145119	−	0.0181974i
$787$	−16.6569	−	8.02153i	−0.593754	−	0.285937i	0.112775	−	0.993620i	$-0.464026\pi$
$787$	−16.6569	−	8.02153i	−0.593754	−	0.285937i	−0.706529	+	0.707684i	$0.749740\pi$
$788$	−3.32663	−	14.5749i	−0.118506	−	0.519211i
$789$	59.1461	+	28.4833i	2.10566	+	1.01403i
$790$	−16.3823	+	7.88930i	−0.582856	+	0.280689i
$791$	−17.8902	−	17.4593i	−0.636102	−	0.620781i
$792$	−19.4305	−	9.35723i	−0.690432	−	0.332495i
$793$	−4.15480	−	5.20996i	−0.147541	−	0.185011i
$794$	−9.89138	+	4.76344i	−0.351032	+	0.169048i
$795$	43.0638	−	54.0003i	1.52732	−	1.91519i
$796$	0.791741	−	3.46884i	0.0280625	−	0.122950i
$797$	−3.02702	+	3.79576i	−0.107223	+	0.134453i	−0.832547	−	0.553954i	$-0.813118\pi$
$797$	−3.02702	+	3.79576i	−0.107223	+	0.134453i	0.725325	+	0.688407i	$0.241690\pi$
$798$	−15.8787	+	10.2493i	−0.562101	+	0.362822i
$799$	10.7456	+	13.4746i	0.380153	+	0.476697i
$800$	0.996852	−	0.480058i	0.0352440	−	0.0169726i
$801$	8.40350	−	36.8181i	0.296923	−	1.30090i
$802$	−13.5377			−0.478033
$803$	22.8937			0.807900
$804$	5.14339	−	22.5347i	0.181393	−	0.794736i
$805$	4.94909	−	49.3205i	0.174432	−	1.73832i
$806$	−2.11023	−	9.24552i	−0.0743297	−	0.325660i
$807$	−17.4688	−	76.5357i	−0.614930	−	2.69418i
$808$	1.69654	+	2.12739i	0.0596839	+	0.0748413i
$809$	−3.94060	−	4.94136i	−0.138544	−	0.173729i	0.707719	−	0.706494i	$-0.249724\pi$
$809$	−3.94060	−	4.94136i	−0.138544	−	0.173729i	−0.846263	+	0.532765i	$0.821153\pi$
$810$	3.11012	+	13.6263i	0.109278	+	0.478780i
$811$	−4.19498	−	18.3794i	−0.147306	−	0.645388i	−0.993627	−	0.112716i	$-0.964045\pi$
$811$	−4.19498	−	18.3794i	−0.147306	−	0.645388i	0.846322	−	0.532672i	$-0.178812\pi$
$812$	14.0909	−	1.76185i	0.494495	−	0.0618288i
$813$	−7.81547	+	34.2418i	−0.274100	+	1.20091i
$814$	11.5815			0.405933
$815$	5.69639			0.199536
$816$	−0.960481	+	4.20814i	−0.0336236	+	0.147314i
$817$	−8.20365	+	3.95067i	−0.287009	+	0.138216i
$818$	−16.4614	−	20.6420i	−0.575560	−	0.721730i
$819$	9.94402	−	1.24334i	0.347472	−	0.0434460i
$820$	−5.02833	+	6.30532i	−0.175597	+	0.220191i
$821$	3.90413	−	17.1051i	0.136255	−	0.596973i	−0.859984	−	0.510322i	$-0.829526\pi$
$821$	3.90413	−	17.1051i	0.136255	−	0.596973i	0.996239	−	0.0866509i	$-0.0276165\pi$
$822$	29.5147	−	37.0103i	1.02944	−	1.29088i
$823$	15.9945	−	7.70252i	0.557532	−	0.268493i	−0.133827	−	0.991005i	$-0.542727\pi$
$823$	15.9945	−	7.70252i	0.557532	−	0.268493i	0.691359	+	0.722512i	$0.257012\pi$
$824$	−19.2168	−	24.0971i	−0.669450	−	0.839464i
$825$	1.00428	+	0.483635i	0.0349645	+	0.0168380i
$826$	−0.290388	+	2.89388i	−0.0101039	+	0.100691i
$827$	37.0718	−	17.8528i	1.28911	−	0.620803i	0.341396	−	0.939920i	$-0.389100\pi$
$827$	37.0718	−	17.8528i	1.28911	−	0.620803i	0.947716	+	0.319116i	$0.103386\pi$
$828$	−27.0534	−	13.0283i	−0.940172	−	0.452763i
$829$	−11.9286	−	52.2628i	−0.414299	−	1.81516i	−0.563213	−	0.826312i	$-0.690435\pi$
$829$	−11.9286	−	52.2628i	−0.414299	−	1.81516i	0.148914	−	0.988850i	$-0.452422\pi$
$830$	23.4344	+	11.2854i	0.813419	+	0.391722i
$831$	31.2597	−	39.1984i	1.08439	−	1.35978i
$832$	−7.22108			−0.250346
$833$	0.250277	+	10.2644i	0.00867158	+	0.355641i
$834$	0.876472			0.0303497
$835$	19.3008	−	24.2024i	0.667931	−	0.837559i
$836$	−4.44019	−	2.13828i	−0.153567	−	0.0739540i
$837$	4.26194	+	18.6728i	0.147314	+	0.645426i
$838$	27.8701	+	13.4215i	0.962758	+	0.463640i
$839$	33.6725	−	16.2158i	1.16250	−	0.559833i	0.249738	−	0.968314i	$-0.419656\pi$
$839$	33.6725	−	16.2158i	1.16250	−	0.559833i	0.912767	+	0.408481i	$0.133941\pi$
$840$	16.2400	+	44.6576i	0.560334	+	1.54083i
$841$	−1.60865	−	0.774686i	−0.0554707	−	0.0267133i
$842$	−22.2322	−	27.8783i	−0.766172	−	0.960750i
$843$	−66.3265	+	31.9411i	−2.28440	+	1.10011i
$844$	4.91292	−	6.16061i	0.169110	−	0.212057i
$845$	0.508721	−	2.22885i	0.0175005	−	0.0766749i
$846$	−28.1984	+	35.3596i	−0.969480	+	1.21569i
$847$	−6.72254	−	18.4860i	−0.230989	−	0.635186i
$848$	−8.16640	−	10.2403i	−0.280435	−	0.351655i
$849$	−29.6489	+	14.2782i	−1.01755	+	0.490026i
$850$	0.0751527	−	0.329266i	0.00257772	−	0.0112937i
$851$	49.4640			1.69560
$852$	−0.840002			−0.0287780
$853$	8.48811	−	37.1888i	0.290627	−	1.27332i	−0.593027	−	0.805182i	$-0.702067\pi$
$853$	8.48811	−	37.1888i	0.290627	−	1.27332i	0.883655	−	0.468139i	$-0.155075\pi$
$854$	12.8221	+	12.5133i	0.438764	+	0.428196i
$855$	−5.19899	−	22.7783i	−0.177802	−	0.779001i
$856$	9.90003	+	43.3748i	0.338376	+	1.48252i
$857$	−7.36580	−	9.23642i	−0.251611	−	0.315510i	0.639945	−	0.768421i	$-0.278957\pi$
$857$	−7.36580	−	9.23642i	−0.251611	−	0.315510i	−0.891556	+	0.452911i	$0.850386\pi$
$858$	−3.11684	−	3.90840i	−0.106407	−	0.133430i
$859$	−6.31629	−	27.6735i	−0.215509	−	0.944206i	−0.960751	−	0.277412i	$-0.910523\pi$
$859$	−6.31629	−	27.6735i	−0.215509	−	0.944206i	0.745242	−	0.666794i	$-0.232334\pi$
$860$	1.66076	+	7.27625i	0.0566313	+	0.248118i
$861$	−17.9898	−	17.5565i	−0.613089	−	0.598322i
$862$	4.41644	−	19.3497i	0.150424	−	0.659053i
$863$	−11.5824			−0.394269			−0.197135	−	0.980376i	$-0.563164\pi$
$863$	−11.5824			−0.394269			−0.197135	+	0.980376i	$0.563164\pi$
$864$	10.0217			0.340944
$865$	0.870888	−	3.81561i	0.0296111	−	0.129735i
$866$	−13.2618	+	6.38654i	−0.450654	+	0.217023i
$867$	24.1200	+	30.2455i	0.819157	+	1.02719i
$868$	−8.16281	−	22.4465i	−0.277064	−	0.761884i
$869$	9.21419	−	11.5542i	0.312570	−	0.391950i
$870$	7.47293	−	32.7411i	0.253356	−	1.11003i
$871$	5.71819	−	7.17038i	0.193753	−	0.242959i
$872$	34.5774	−	16.6516i	1.17094	−	0.563894i
$873$	18.5300	+	23.2358i	0.627144	+	0.786414i
$874$	20.2436	+	9.74880i	0.684750	+	0.329758i
$875$	9.86751	+	27.1342i	0.333583	+	0.917303i
$876$	−27.5313	+	13.2584i	−0.930198	+	0.447960i
$877$	−15.8710	−	7.64307i	−0.535926	−	0.258088i	0.146287	−	0.989242i	$-0.453268\pi$
$877$	−15.8710	−	7.64307i	−0.535926	−	0.258088i	−0.682212	+	0.731154i	$0.738982\pi$
$878$	4.51722	+	19.7912i	0.152449	+	0.667921i
$879$	−11.5652	−	5.56950i	−0.390084	−	0.187855i
$880$	3.04002	−	3.81206i	0.102479	−	0.128504i
$881$	−40.7264			−1.37211			−0.686053	−	0.727552i	$-0.740658\pi$
$881$	−40.7264			−1.37211			−0.686053	+	0.727552i	$0.740658\pi$
$882$	−26.1141	+	6.63403i	−0.879307	+	0.223379i
$883$	39.1253			1.31667			0.658336	−	0.752724i	$-0.271261\pi$
$883$	39.1253			1.31667			0.658336	+	0.752724i	$0.271261\pi$
$884$	0.884668	−	1.10934i	0.0297546	−	0.0373111i
$885$	−5.80516	−	2.79562i	−0.195138	−	0.0939736i
$886$	2.21286	+	9.69517i	0.0743425	+	0.325716i
$887$	16.4777	+	7.93524i	0.553267	+	0.266439i	0.689559	−	0.724229i	$-0.257804\pi$
$887$	16.4777	+	7.93524i	0.553267	+	0.266439i	−0.136292	+	0.990669i	$0.543519\pi$
$888$	−42.7230	+	20.5743i	−1.43369	+	0.690429i
$889$	−4.96243	+	49.4534i	−0.166434	+	1.65861i
$890$	20.8690	+	10.0500i	0.699531	+	0.336876i
$891$	−7.08269	−	8.88141i	−0.237279	−	0.297538i
$892$	−1.24507	+	0.599592i	−0.0416879	+	0.0200758i
$893$	−19.7663	+	24.7861i	−0.661453	+	0.829436i
$894$	−0.633991	+	2.77769i	−0.0212038	+	0.0929000i
$895$	−8.75844	+	10.9827i	−0.292762	+	0.367112i
$896$	−6.37427	+	0.797002i	−0.212949	+	0.0266260i
$897$	−13.3118	−	16.6925i	−0.444469	−	0.557346i
$898$	28.7790	−	13.8592i	0.960368	−	0.462489i
$899$	−11.5220	+	50.4811i	−0.384280	+	1.68364i
$900$	−0.830236			−0.0276745
$901$	17.0089			0.566648
$902$	−1.55701	+	6.82172i	−0.0518428	+	0.227138i
$903$	−23.0825	+	2.88611i	−0.768138	+	0.0960436i
$904$	−6.33967	−	27.7759i	−0.210854	−	0.923814i
$905$	2.35165	+	10.3033i	0.0781715	+	0.342492i
$906$	2.04734	+	2.56728i	0.0680182	+	0.0852921i
$907$	−20.4425	−	25.6340i	−0.678781	−	0.851164i	0.316461	−	0.948606i	$-0.397505\pi$
$907$	−20.4425	−	25.6340i	−0.678781	−	0.851164i	−0.995241	+	0.0974417i	$0.968934\pi$
$908$	−3.70161	−	16.2178i	−0.122842	−	0.538207i
$909$	−0.760574	−	3.33229i	−0.0252266	−	0.110525i
$910$	−0.613699	+	6.11586i	−0.0203439	+	0.202739i
$911$	−13.2031	+	57.8464i	−0.437437	+	1.91654i	−0.0392560	+	0.999229i	$0.512499\pi$
$911$	−13.2031	+	57.8464i	−0.437437	+	1.91654i	−0.398181	+	0.917307i	$0.630358\pi$
$912$	−7.93983			−0.262914
$913$	−21.1401			−0.699634
$914$	−8.48216	+	37.1628i	−0.280565	+	1.22924i
$915$	−35.7605	+	17.2213i	−1.18220	+	0.569320i
$916$	2.90969	+	3.64864i	0.0961389	+	0.120554i
$917$	0.547883	−	0.353645i	0.0180927	−	0.0116784i
$918$	1.90731	−	2.39170i	0.0629507	−	0.0789377i
$919$	0.227533	−	0.996886i	0.00750562	−	0.0328842i	−0.971036	−	0.238931i	$-0.923203\pi$
$919$	0.227533	−	0.996886i	0.00750562	−	0.0328842i	0.978542	+	0.206047i	$0.0660600\pi$
$920$	35.2232	−	44.1684i	1.16127	−	1.45619i
$921$	36.5775	−	17.6148i	1.20527	−	0.580427i
$922$	9.95280	+	12.4804i	0.327778	+	0.411021i
$923$	−0.300290	−	0.144612i	−0.00988416	−	0.00475996i
$924$	−9.01074	−	8.79371i	−0.296431	−	0.289292i
$925$	1.23222	−	0.593405i	0.0405151	−	0.0195110i
$926$	30.2228	+	14.5545i	0.993181	+	0.478291i
$927$	8.61509	+	37.7452i	0.282957	+	1.23971i
$928$	24.4101	+	11.7553i	0.801301	+	0.385886i
$929$	−20.4187	+	25.6042i	−0.669914	+	0.840046i	−0.994382	−	0.105851i	$-0.966243\pi$
$929$	−20.4187	+	25.6042i	−0.669914	+	0.840046i	0.324468	+	0.945897i	$0.394815\pi$
$930$	−56.4847			−1.85221
$931$	−18.3052	+	4.65027i	−0.599930	+	0.152406i
$932$	1.35319			0.0443254
$933$	−39.2598	+	49.2302i	−1.28531	+	1.61172i
$934$	12.9805	+	6.25110i	0.424736	+	0.204542i
$935$	1.40894	+	6.17296i	0.0460772	+	0.201877i
$936$	10.2905	+	4.95564i	0.336355	+	0.161980i
$937$	21.9984	−	10.5939i	0.718657	−	0.346087i	−0.0385550	−	0.999256i	$-0.512275\pi$
$937$	21.9984	−	10.5939i	0.718657	−	0.346087i	0.757212	+	0.653170i	$0.226561\pi$
$938$	−12.8633	+	21.0367i	−0.420000	+	0.686871i
$939$	−39.1515	−	18.8544i	−1.27766	−	0.615289i
$940$	16.2018	+	20.3164i	0.528443	+	0.662647i
$941$	30.5733	−	14.7233i	0.996661	−	0.479967i	0.136857	−	0.990591i	$-0.456300\pi$
$941$	30.5733	−	14.7233i	0.996661	−	0.479967i	0.859804	+	0.510624i	$0.170586\pi$
$942$	13.1494	−	16.4888i	0.428431	−	0.537236i
$943$	−6.64989	+	29.1351i	−0.216550	+	0.948768i
$944$	−0.761819	+	0.955290i	−0.0247951	+	0.0310920i
$945$	1.23946	−	12.3519i	0.0403197	−	0.401809i
$946$	4.03730	+	5.06262i	0.131264	+	0.164600i
$947$	3.52654	−	1.69829i	0.114597	−	0.0551870i	−0.375707	−	0.926739i	$-0.622600\pi$
$947$	3.52654	−	1.69829i	0.114597	−	0.0551870i	0.490304	+	0.871552i	$0.336886\pi$
$948$	−4.38936	+	19.2310i	−0.142560	+	0.624595i
$949$	−12.1246			−0.393582
$950$	0.621251			0.0201560
$951$	1.28477	−	5.62896i	0.0416616	−	0.182531i
$952$	−6.10459	+	9.98348i	−0.197851	+	0.323567i
$953$	−11.2910	−	49.4690i	−0.365751	−	1.60246i	−0.738318	−	0.674453i	$-0.764380\pi$
$953$	−11.2910	−	49.4690i	−0.365751	−	1.60246i	0.372567	−	0.928005i	$-0.378478\pi$
$954$	9.93205	+	43.5151i	0.321562	+	1.40885i
$955$	27.7214	+	34.7616i	0.897044	+	1.12486i
$956$	3.39262	+	4.25422i	0.109725	+	0.137591i
$957$	6.07371	+	26.6107i	0.196335	+	0.860200i
$958$	6.69732	+	29.3429i	0.216381	+	0.948025i
$959$	39.7457	−	25.6549i	1.28346	−	0.828440i
$960$	−9.57073	+	41.9321i	−0.308894	+	1.35335i
$961$	56.0898			1.80935
$962$	−6.13365			−0.197757
$963$	12.4358	−	54.4847i	0.400737	−	1.75574i
$964$	23.1819	−	11.1638i	0.746639	−	0.359562i
$965$	11.9328	+	14.9632i	0.384130	+	0.481684i
$966$	41.0815	+	40.0921i	1.32178	+	1.28994i
$967$	11.8703	−	14.8849i	0.381722	−	0.478665i	−0.553437	−	0.832891i	$-0.686684\pi$
$967$	11.8703	−	14.8849i	0.381722	−	0.478665i	0.935160	+	0.354226i	$0.115256\pi$
$968$	4.98862	−	21.8566i	0.160340	−	0.702496i
$969$	6.42858	−	8.06118i	0.206516	−	0.258962i
$970$	−16.4232	+	7.90900i	−0.527317	+	0.253943i
$971$	26.0254	+	32.6348i	0.835194	+	1.04730i	0.998158	+	0.0606686i	$0.0193233\pi$
$971$	26.0254	+	32.6348i	0.835194	+	1.04730i	−0.162964	+	0.986632i	$0.552105\pi$
$972$	19.0272	+	9.16301i	0.610297	+	0.293904i
$973$	0.830201	+	0.279189i	0.0266150	+	0.00895039i
$974$	−29.9385	+	14.4176i	−0.959291	+	0.461970i
$975$	−0.531871	−	0.256136i	−0.0170335	−	0.00820291i
$976$	1.67487	+	7.33810i	0.0536114	+	0.234887i
$977$	−11.9323	−	5.74630i	−0.381749	−	0.183841i	0.233161	−	0.972438i	$-0.425093\pi$
$977$	−11.9323	−	5.74630i	−0.381749	−	0.183841i	−0.614910	+	0.788598i	$0.710807\pi$
$978$	−4.11300	+	5.15754i	−0.131519	+	0.164920i
$979$	−18.8259			−0.601677
$980$	0.377356	+	15.4762i	0.0120542	+	0.494369i
$981$	−48.2080			−1.53916
$982$	−8.05863	+	10.1052i	−0.257161	+	0.322470i
$983$	−19.1850	−	9.23899i	−0.611905	−	0.294678i	0.102148	−	0.994769i	$-0.467428\pi$
$983$	−19.1850	−	9.23899i	−0.611905	−	0.294678i	−0.714053	+	0.700091i	$0.753143\pi$
$984$	−6.37496	−	27.9305i	−0.203226	−	0.890393i
$985$	−31.8322	−	15.3296i	−1.01426	−	0.488441i
$986$	7.45114	−	3.58828i	0.237293	−	0.114274i
$987$	−68.0488	+	43.9238i	−2.16602	+	1.39811i
$988$	2.35155	+	1.13245i	0.0748127	+	0.0360279i
$989$	17.2430	+	21.6221i	0.548297	+	0.687542i
$990$	−14.9700	+	7.20919i	−0.475779	+	0.229123i
$991$	−28.5777	+	35.8353i	−0.907799	+	1.13834i	0.0821073	+	0.996623i	$0.473835\pi$
$991$	−28.5777	+	35.8353i	−0.907799	+	1.13834i	−0.989907	+	0.141721i	$0.954736\pi$
$992$	10.1401	−	44.4266i	0.321948	−	1.41055i
$993$	−10.5685	+	13.2524i	−0.335380	+	0.420553i
$994$	0.849356	+	0.285631i	0.0269399	+	0.00905966i
$995$	−5.24281	−	6.57428i	−0.166208	−	0.208419i
$996$	25.4225	−	12.2428i	0.805542	−	0.387929i
$997$	0.264777	−	1.16006i	0.00838557	−	0.0367396i	−0.970562	−	0.240851i	$-0.922573\pi$
$997$	0.264777	−	1.16006i	0.00838557	−	0.0367396i	0.978948	+	0.204112i	$0.0654306\pi$
$998$	−15.1535			−0.479675
$999$	12.3879			0.391935

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	637.2.w.a.92.11	✓	162
49.8	even	7	inner	637.2.w.a.547.11	yes	162

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
637.2.w.a.92.11	✓	162	1.1	even	1	trivial
637.2.w.a.547.11	yes	162	49.8	even	7	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 637 = 7^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	637.w (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.633585 + 0.794490i) q^{2} +(2.34732 + 1.13041i) q^{3} +(0.215257 + 0.943102i) q^{4} +(2.05977 + 0.991933i) q^{5} +(-2.38533 + 1.14871i) q^{6} +(-2.62531 + 0.328254i) q^{7} +(-2.71678 - 1.30833i) q^{8} +(2.36163 + 2.96138i) q^{9} +O(q^{10})\)	\(q+(-0.633585 + 0.794490i) q^{2} +(2.34732 + 1.13041i) q^{3} +(0.215257 + 0.943102i) q^{4} +(2.05977 + 0.991933i) q^{5} +(-2.38533 + 1.14871i) q^{6} +(-2.62531 + 0.328254i) q^{7} +(-2.71678 - 1.30833i) q^{8} +(2.36163 + 2.96138i) q^{9} +(-2.09312 + 1.00799i) q^{10} +(1.17727 - 1.47625i) q^{11} +(-0.560816 + 2.45709i) q^{12} +(-0.623490 + 0.781831i) q^{13} +(1.40256 - 2.29376i) q^{14} +(3.71365 + 4.65677i) q^{15} +(1.01765 - 0.490076i) q^{16} +(-0.326389 + 1.43000i) q^{17} -3.84908 q^{18} -2.69810 q^{19} +(-0.492115 + 2.15610i) q^{20} +(-6.53351 - 2.19716i) q^{21} +(0.426966 + 1.87066i) q^{22} +(1.82354 + 7.98946i) q^{23} +(-4.89821 - 6.14216i) q^{24} +(0.141274 + 0.177152i) q^{25} +(-0.226124 - 0.990713i) q^{26} +(0.456692 + 2.00090i) q^{27} +(-0.874693 - 2.40528i) q^{28} +(-1.23465 + 5.40935i) q^{29} -6.05268 q^{30} +9.33219 q^{31} +(1.08657 - 4.76058i) q^{32} +(4.43221 - 2.13444i) q^{33} +(-0.929329 - 1.16534i) q^{34} +(-5.73314 - 1.92800i) q^{35} +(-2.28453 + 2.86471i) q^{36} +(1.34312 - 5.88459i) q^{37} +(1.70947 - 2.14361i) q^{38} +(-2.34732 + 1.13041i) q^{39} +(-4.29817 - 5.38973i) q^{40} +(3.28555 + 1.58224i) q^{41} +(5.88515 - 3.79872i) q^{42} +(3.04053 - 1.46424i) q^{43} +(1.64567 + 0.792514i) q^{44} +(1.92691 + 8.44235i) q^{45} +(-7.50291 - 3.61321i) q^{46} +(7.32600 - 9.18652i) q^{47} +2.94275 q^{48} +(6.78450 - 1.72354i) q^{49} -0.230255 q^{50} +(-2.38263 + 2.98773i) q^{51} +(-0.871558 - 0.419720i) q^{52} +(-2.58037 - 11.3053i) q^{53} +(-1.87905 - 0.904902i) q^{54} +(3.88925 - 1.87297i) q^{55} +(7.56186 + 2.54299i) q^{56} +(-6.33331 - 3.04996i) q^{57} +(-3.51542 - 4.40820i) q^{58} +(-0.974635 + 0.469359i) q^{59} +(-3.59243 + 4.50476i) q^{60} +(-1.48283 + 6.49671i) q^{61} +(-5.91273 + 7.41433i) q^{62} +(-7.17208 - 6.99934i) q^{63} +(4.50227 + 5.64567i) q^{64} +(-2.05977 + 0.991933i) q^{65} +(-1.11239 + 4.87369i) q^{66} -9.17126 q^{67} -1.41890 q^{68} +(-4.75093 + 20.8152i) q^{69} +(5.16421 - 3.33337i) q^{70} +(0.0741655 + 0.324940i) q^{71} +(-2.54154 - 11.1352i) q^{72} +(7.55958 + 9.47941i) q^{73} +(3.82427 + 4.79548i) q^{74} +(0.131361 + 0.575532i) q^{75} +(-0.580785 - 2.54458i) q^{76} +(-2.60612 + 4.26206i) q^{77} +(0.589127 - 2.58114i) q^{78} +7.82673 q^{79} +2.58226 q^{80} +(1.33873 - 5.86535i) q^{81} +(-3.33875 + 1.60786i) q^{82} +(-6.98053 - 8.75331i) q^{83} +(0.665764 - 6.63472i) q^{84} +(-2.09076 + 2.62172i) q^{85} +(-0.763107 + 3.34339i) q^{86} +(-9.01291 + 11.3018i) q^{87} +(-5.12982 + 2.47039i) q^{88} +(-6.21637 - 7.79508i) q^{89} +(-7.92822 - 3.81803i) q^{90} +(1.38021 - 2.25721i) q^{91} +(-7.14235 + 3.43957i) q^{92} +(21.9057 + 10.5492i) q^{93} +(2.65695 + 11.6409i) q^{94} +(-5.55746 - 2.67633i) q^{95} +(7.93194 - 9.94634i) q^{96} +7.84628 q^{97} +(-2.92922 + 6.48222i) q^{98} +7.15202 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9}+O(q^{10}) \) 162 * q + 3 * q^2 - 25 * q^4 - 4 * q^5 + 18 * q^6 - 15 * q^7 + 3 * q^8 - 5 * q^9	\( 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9} - 10 q^{10} + 15 q^{11} + 25 q^{12} + 27 q^{13} + 33 q^{14} + 18 q^{15} - 5 q^{16} + 3 q^{17} - 64 q^{18} + 24 q^{19} - 47 q^{20} + 24 q^{22} + 27 q^{23} - 8 q^{24} - 35 q^{25} - 3 q^{26} + 15 q^{27} + 2 q^{28} + 46 q^{29} - 30 q^{30} + 46 q^{31} + 16 q^{32} - 18 q^{33} - 62 q^{34} - 51 q^{35} + 39 q^{36} + 16 q^{37} - 54 q^{38} + 74 q^{40} - 2 q^{41} + 88 q^{42} + 14 q^{43} - 95 q^{44} + 83 q^{45} + 56 q^{46} - 4 q^{47} - 20 q^{48} - 3 q^{49} - 216 q^{50} - 56 q^{51} + 25 q^{52} + 38 q^{53} - 6 q^{54} + 73 q^{55} - 35 q^{56} + 41 q^{57} + 72 q^{58} - 44 q^{59} + 24 q^{60} - 6 q^{61} - 36 q^{62} - q^{63} - 11 q^{64} + 4 q^{65} + 95 q^{66} - 126 q^{67} - 382 q^{68} - 108 q^{69} - 47 q^{70} + 51 q^{71} + 130 q^{72} + 14 q^{73} - 26 q^{74} + 3 q^{75} + 75 q^{76} - 6 q^{77} + 31 q^{78} - 58 q^{79} + 110 q^{80} - 5 q^{81} - 90 q^{82} - 35 q^{83} + 21 q^{84} + 18 q^{85} + 76 q^{86} - 100 q^{87} + 6 q^{88} + 32 q^{89} + 13 q^{90} + q^{91} + 46 q^{92} + 19 q^{93} + 72 q^{94} + 38 q^{95} + 95 q^{96} + 6 q^{97} - 299 q^{98} - 334 q^{99}+O(q^{100}) \) 162 * q + 3 * q^2 - 25 * q^4 - 4 * q^5 + 18 * q^6 - 15 * q^7 + 3 * q^8 - 5 * q^9 - 10 * q^10 + 15 * q^11 + 25 * q^12 + 27 * q^13 + 33 * q^14 + 18 * q^15 - 5 * q^16 + 3 * q^17 - 64 * q^18 + 24 * q^19 - 47 * q^20 + 24 * q^22 + 27 * q^23 - 8 * q^24 - 35 * q^25 - 3 * q^26 + 15 * q^27 + 2 * q^28 + 46 * q^29 - 30 * q^30 + 46 * q^31 + 16 * q^32 - 18 * q^33 - 62 * q^34 - 51 * q^35 + 39 * q^36 + 16 * q^37 - 54 * q^38 + 74 * q^40 - 2 * q^41 + 88 * q^42 + 14 * q^43 - 95 * q^44 + 83 * q^45 + 56 * q^46 - 4 * q^47 - 20 * q^48 - 3 * q^49 - 216 * q^50 - 56 * q^51 + 25 * q^52 + 38 * q^53 - 6 * q^54 + 73 * q^55 - 35 * q^56 + 41 * q^57 + 72 * q^58 - 44 * q^59 + 24 * q^60 - 6 * q^61 - 36 * q^62 - q^63 - 11 * q^64 + 4 * q^65 + 95 * q^66 - 126 * q^67 - 382 * q^68 - 108 * q^69 - 47 * q^70 + 51 * q^71 + 130 * q^72 + 14 * q^73 - 26 * q^74 + 3 * q^75 + 75 * q^76 - 6 * q^77 + 31 * q^78 - 58 * q^79 + 110 * q^80 - 5 * q^81 - 90 * q^82 - 35 * q^83 + 21 * q^84 + 18 * q^85 + 76 * q^86 - 100 * q^87 + 6 * q^88 + 32 * q^89 + 13 * q^90 + q^91 + 46 * q^92 + 19 * q^93 + 72 * q^94 + 38 * q^95 + 95 * q^96 + 6 * q^97 - 299 * q^98 - 334 * q^99

Introduction

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