LMFDB - Embedded newform 252.2.bb.a.11.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(11,252)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(252, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 1, 4]))

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

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

chi := DirichletCharacter("252.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.bb (of order $6$, degree $2$, 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:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$44$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			11.17
Character	$\chi$	$=$	252.11
Dual form			252.2.bb.a.23.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.614155 + 1.27390i) q^{2} +(0.368715 + 1.69235i) q^{3} +(-1.24563 - 1.56474i) q^{4} +(-3.69227 - 2.13173i) q^{5} +(-2.38233 - 0.569660i) q^{6} +(1.08153 - 2.41460i) q^{7} +(2.75833 - 0.625806i) q^{8} +(-2.72810 + 1.24799i) q^{9} +O(q^{10})$	\(q+(-0.614155 + 1.27390i) q^{2} +(0.368715 + 1.69235i) q^{3} +(-1.24563 - 1.56474i) q^{4} +(-3.69227 - 2.13173i) q^{5} +(-2.38233 - 0.569660i) q^{6} +(1.08153 - 2.41460i) q^{7} +(2.75833 - 0.625806i) q^{8} +(-2.72810 + 1.24799i) q^{9} +(4.98323 - 3.39435i) q^{10} +(-0.425873 - 0.737633i) q^{11} +(2.18881 - 2.68498i) q^{12} +(-1.70346 - 2.95047i) q^{13} +(2.41172 + 2.86070i) q^{14} +(2.24624 - 7.03461i) q^{15} +(-0.896829 + 3.89817i) q^{16} +(-2.96593 - 1.71238i) q^{17} +(0.0856637 - 4.24178i) q^{18} +(0.287188 - 0.165808i) q^{19} +(1.26358 + 8.43278i) q^{20} +(4.48513 + 0.940027i) q^{21} +(1.20122 - 0.0894966i) q^{22} +(-2.12777 + 3.68541i) q^{23} +(2.07612 + 4.43731i) q^{24} +(6.58855 + 11.4117i) q^{25} +(4.80478 - 0.357979i) q^{26} +(-3.11793 - 4.15674i) q^{27} +(-5.12541 + 1.31538i) q^{28} +(-3.76358 - 2.17290i) q^{29} +(7.58182 + 7.18182i) q^{30} -6.05964i q^{31} +(-4.41507 - 3.53655i) q^{32} +(1.09131 - 0.992702i) q^{33} +(4.00294 - 2.72662i) q^{34} +(-9.14057 + 6.60981i) q^{35} +(5.35097 + 2.71424i) q^{36} +(-0.964162 - 1.66998i) q^{37} +(0.0348444 + 0.467681i) q^{38} +(4.36514 - 3.97073i) q^{39} +(-11.5185 - 3.56937i) q^{40} +(3.23608 - 1.86835i) q^{41} +(-3.95206 + 5.13626i) q^{42} +(-2.03904 - 1.17724i) q^{43} +(-0.623727 + 1.58520i) q^{44} +(12.7332 + 1.20765i) q^{45} +(-3.38805 - 4.97398i) q^{46} +5.34880 q^{47} +(-6.92774 - 0.0804352i) q^{48} +(-4.66059 - 5.22292i) q^{49} +(-18.5837 + 1.38457i) q^{50} +(1.80436 - 5.65078i) q^{51} +(-2.49486 + 6.34065i) q^{52} +(-3.31113 - 1.91168i) q^{53} +(7.21016 - 1.41904i) q^{54} +3.63138i q^{55} +(1.47214 - 7.33708i) q^{56} +(0.386497 + 0.424887i) q^{57} +(5.07948 - 3.45991i) q^{58} -2.42512 q^{59} +(-13.8053 + 5.24771i) q^{60} -8.45286 q^{61} +(7.71935 + 3.72156i) q^{62} +(0.0628804 + 7.93700i) q^{63} +(7.21673 - 3.45235i) q^{64} +14.5252i q^{65} +(0.594368 + 1.99989i) q^{66} +10.9500i q^{67} +(1.01501 + 6.77391i) q^{68} +(-7.02154 - 2.24207i) q^{69} +(-2.80649 - 15.7036i) q^{70} +13.9538 q^{71} +(-6.74399 + 5.14963i) q^{72} +(-4.39078 + 7.60506i) q^{73} +(2.71953 - 0.202617i) q^{74} +(-16.8833 + 15.3578i) q^{75} +(-0.617177 - 0.242840i) q^{76} +(-2.24168 + 0.230540i) q^{77} +(2.37742 + 7.99938i) q^{78} -4.69272i q^{79} +(11.6212 - 12.4813i) q^{80} +(5.88504 - 6.80928i) q^{81} +(0.392632 + 5.26989i) q^{82} +(1.15741 - 2.00470i) q^{83} +(-4.11589 - 8.18898i) q^{84} +(7.30067 + 12.6451i) q^{85} +(2.75197 - 1.87452i) q^{86} +(2.28962 - 7.17047i) q^{87} +(-1.63631 - 1.76812i) q^{88} +(-7.69912 + 4.44509i) q^{89} +(-9.35861 + 15.4791i) q^{90} +(-8.96655 + 0.922141i) q^{91} +(8.41712 - 1.26123i) q^{92} +(10.2550 - 2.23428i) q^{93} +(-3.28499 + 6.81382i) q^{94} -1.41383 q^{95} +(4.35717 - 8.77582i) q^{96} +(3.69412 - 6.39841i) q^{97} +(9.51579 - 2.72942i) q^{98} +(2.08238 + 1.48085i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 2 q^{4} - 6 q^{5} - 6 q^{6} - 2 q^{9}+O(q^{10}) $ 88 * q - 2 * q^4 - 6 * q^5 - 6 * q^6 - 2 * q^9	$ 88 q - 2 q^{4} - 6 q^{5} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 6 q^{12} - 4 q^{13} - 18 q^{14} - 2 q^{16} + 2 q^{18} - 6 q^{20} - 6 q^{21} - 6 q^{22} - 14 q^{24} + 30 q^{25} + 6 q^{26} - 24 q^{29} - 29 q^{30} + 10 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} - 45 q^{38} - 4 q^{40} - 12 q^{41} - 46 q^{42} + 57 q^{44} - 18 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} - 7 q^{52} + 23 q^{54} - 24 q^{56} - 28 q^{57} + 5 q^{58} - 19 q^{60} - 4 q^{61} - 8 q^{64} + 60 q^{66} - 12 q^{68} - 6 q^{69} - 27 q^{70} - 10 q^{72} - 4 q^{73} + 51 q^{74} - 6 q^{76} - 30 q^{77} + 55 q^{78} - 87 q^{80} - 34 q^{81} - 4 q^{82} - 55 q^{84} - 14 q^{85} + 81 q^{86} + 9 q^{88} - 60 q^{89} + 41 q^{90} + 24 q^{92} + 30 q^{93} - 18 q^{94} - 29 q^{96} - 4 q^{97} + 57 q^{98}+O(q^{100}) $ 88 * q - 2 * q^4 - 6 * q^5 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 6 * q^12 - 4 * q^13 - 18 * q^14 - 2 * q^16 + 2 * q^18 - 6 * q^20 - 6 * q^21 - 6 * q^22 - 14 * q^24 + 30 * q^25 + 6 * q^26 - 24 * q^29 - 29 * q^30 + 10 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 - 45 * q^38 - 4 * q^40 - 12 * q^41 - 46 * q^42 + 57 * q^44 - 18 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 - 7 * q^52 + 23 * q^54 - 24 * q^56 - 28 * q^57 + 5 * q^58 - 19 * q^60 - 4 * q^61 - 8 * q^64 + 60 * q^66 - 12 * q^68 - 6 * q^69 - 27 * q^70 - 10 * q^72 - 4 * q^73 + 51 * q^74 - 6 * q^76 - 30 * q^77 + 55 * q^78 - 87 * q^80 - 34 * q^81 - 4 * q^82 - 55 * q^84 - 14 * q^85 + 81 * q^86 + 9 * q^88 - 60 * q^89 + 41 * q^90 + 24 * q^92 + 30 * q^93 - 18 * q^94 - 29 * q^96 - 4 * q^97 + 57 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/252\mathbb{Z}\right)^\times$.

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{2}{3}\right)$	$-1$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.614155	+	1.27390i	−0.434273	+	0.900781i
$2$	−0.614155	+	1.27390i	−0.434273	+	0.900781i
$3$	0.368715	+	1.69235i	0.212878	+	0.977079i
$3$	0.368715	+	1.69235i	0.212878	+	0.977079i
$4$	−1.24563	−	1.56474i	−0.622813	−	0.782371i
$5$	−3.69227	−	2.13173i	−1.65123	−	0.953339i	−0.976567	−	0.215214i	$-0.930955\pi$
$5$	−3.69227	−	2.13173i	−1.65123	−	0.953339i	−0.674664	−	0.738125i	$-0.735712\pi$
$6$	−2.38233	−	0.569660i	−0.972581	−	0.232563i
$7$	1.08153	−	2.41460i	0.408780	−	0.912633i
$7$	1.08153	−	2.41460i	0.408780	−	0.912633i
$8$	2.75833	−	0.625806i	0.975216	−	0.221256i
$9$	−2.72810	+	1.24799i	−0.909366	+	0.415997i
$10$	4.98323	−	3.39435i	1.57584	−	1.07339i
$11$	−0.425873	−	0.737633i	−0.128405	−	0.222405i	0.794654	−	0.607063i	$-0.207653\pi$
$11$	−0.425873	−	0.737633i	−0.128405	−	0.222405i	−0.923059	+	0.384658i	$0.874319\pi$
$12$	2.18881	−	2.68498i	0.631854	−	0.775087i
$13$	−1.70346	−	2.95047i	−0.472454	−	0.818314i	0.527049	−	0.849835i	$-0.323298\pi$
$13$	−1.70346	−	2.95047i	−0.472454	−	0.818314i	−0.999503	+	0.0315208i	$0.989965\pi$
$14$	2.41172	+	2.86070i	0.644560	+	0.764553i
$15$	2.24624	−	7.03461i	0.579976	−	1.81633i
$16$	−0.896829	+	3.89817i	−0.224207	+	0.974541i
$17$	−2.96593	−	1.71238i	−0.719344	−	0.415314i	0.0951669	−	0.995461i	$-0.469662\pi$
$17$	−2.96593	−	1.71238i	−0.719344	−	0.415314i	−0.814511	+	0.580148i	$0.802995\pi$
$18$	0.0856637	−	4.24178i	0.0201911	−	0.999796i
$19$	0.287188	−	0.165808i	0.0658856	−	0.0380390i	−0.466695	−	0.884418i	$-0.654556\pi$
$19$	0.287188	−	0.165808i	0.0658856	−	0.0380390i	0.532581	+	0.846379i	$0.321222\pi$
$20$	1.26358	+	8.43278i	0.282544	+	1.88563i
$21$	4.48513	+	0.940027i	0.978735	+	0.205131i
$22$	1.20122	−	0.0894966i	0.256101	−	0.0190807i
$23$	−2.12777	+	3.68541i	−0.443671	+	0.768461i	−0.997959	−	0.0638644i	$-0.979657\pi$
$23$	−2.12777	+	3.68541i	−0.443671	+	0.768461i	0.554288	+	0.832325i	$0.312991\pi$
$24$	2.07612	+	4.43731i	0.423786	+	0.905762i
$25$	6.58855	+	11.4117i	1.31771	+	2.28234i
$26$	4.80478	−	0.357979i	0.942296	−	0.0702055i
$27$	−3.11793	−	4.15674i	−0.600046	−	0.799966i
$28$	−5.12541	+	1.31538i	−0.968611	+	0.248583i
$29$	−3.76358	−	2.17290i	−0.698879	−	0.403498i	0.108051	−	0.994145i	$-0.465539\pi$
$29$	−3.76358	−	2.17290i	−0.698879	−	0.403498i	−0.806930	+	0.590647i	$0.798872\pi$
$30$	7.58182	+	7.18182i	1.38425	+	1.31121i
$31$		−	6.05964i		−	1.08834i	−0.838974	−	0.544171i	$-0.816844\pi$
$31$		−	6.05964i		−	1.08834i	0.838974	−	0.544171i	$-0.183156\pi$
$32$	−4.41507	−	3.53655i	−0.780481	−	0.625179i
$33$	1.09131	−	0.992702i	0.189972	−	0.172807i
$34$	4.00294	−	2.72662i	0.686499	−	0.467612i
$35$	−9.14057	+	6.60981i	−1.54504	+	1.11726i
$36$	5.35097	+	2.71424i	0.891829	+	0.452373i
$37$	−0.964162	−	1.66998i	−0.158507	−	0.274543i	0.775823	−	0.630950i	$-0.217335\pi$
$37$	−0.964162	−	1.66998i	−0.158507	−	0.274543i	−0.934331	+	0.356408i	$0.884001\pi$
$38$	0.0348444	+	0.467681i	0.00565251	+	0.0758678i
$39$	4.36514	−	3.97073i	0.698982	−	0.635825i
$40$	−11.5185	−	3.56937i	−1.82124	−	0.564367i
$41$	3.23608	−	1.86835i	0.505391	−	0.291788i	−0.225546	−	0.974232i	$-0.572417\pi$
$41$	3.23608	−	1.86835i	0.505391	−	0.291788i	0.730937	+	0.682445i	$0.239083\pi$
$42$	−3.95206	+	5.13626i	−0.609816	+	0.792543i
$43$	−2.03904	−	1.17724i	−0.310950	−	0.179527i	0.336401	−	0.941719i	$-0.390790\pi$
$43$	−2.03904	−	1.17724i	−0.310950	−	0.179527i	−0.647352	+	0.762192i	$0.724123\pi$
$44$	−0.623727	+	1.58520i	−0.0940303	+	0.238977i
$45$	12.7332	+	1.20765i	1.89816	+	0.180026i
$46$	−3.38805	−	4.97398i	−0.499540	−	0.733373i
$47$	5.34880			0.780202			0.390101	−	0.920772i	$-0.372440\pi$
$47$	5.34880			0.780202			0.390101	+	0.920772i	$0.372440\pi$
$48$	−6.92774	−	0.0804352i	−0.999933	−	0.0116098i
$49$	−4.66059	−	5.22292i	−0.665798	−	0.746132i
$50$	−18.5837	+	1.38457i	−2.62813	+	0.195808i
$51$	1.80436	−	5.65078i	0.252662	−	0.791267i
$52$	−2.49486	+	6.34065i	−0.345974	+	0.879291i
$53$	−3.31113	−	1.91168i	−0.454818	−	0.262589i	0.255045	−	0.966929i	$-0.417910\pi$
$53$	−3.31113	−	1.91168i	−0.454818	−	0.262589i	−0.709863	+	0.704340i	$0.751243\pi$
$54$	7.21016	−	1.41904i	0.981178	−	0.193106i
$55$			3.63138i			0.489656i
$56$	1.47214	−	7.33708i	0.196723	−	0.980459i
$57$	0.386497	+	0.424887i	0.0511927	+	0.0562777i
$58$	5.07948	−	3.45991i	0.666968	−	0.454308i
$59$	−2.42512			−0.315724			−0.157862	−	0.987461i	$-0.550460\pi$
$59$	−2.42512			−0.315724			−0.157862	+	0.987461i	$0.550460\pi$
$60$	−13.8053	+	5.24771i	−1.78226	+	0.677477i
$61$	−8.45286			−1.08228			−0.541139	−	0.840933i	$-0.682007\pi$
$61$	−8.45286			−1.08228			−0.541139	+	0.840933i	$0.682007\pi$
$62$	7.71935	+	3.72156i	0.980359	+	0.472638i
$63$	0.0628804	+	7.93700i	0.00792218	+	0.999969i
$64$	7.21673	−	3.45235i	0.902092	−	0.431544i
$65$			14.5252i			1.80163i
$66$	0.594368	+	1.99989i	0.0731617	+	0.246169i
$67$			10.9500i			1.33776i	0.743370	+	0.668880i	$0.233226\pi$
$67$			10.9500i			1.33776i	−0.743370	+	0.668880i	$0.766774\pi$
$68$	1.01501	+	6.77391i	0.123088	+	0.821457i
$69$	−7.02154	−	2.24207i	−0.845295	−	0.269913i
$70$	−2.80649	−	15.7036i	−0.335440	−	1.87694i
$71$	13.9538			1.65601			0.828003	−	0.560724i	$-0.189477\pi$
$71$	13.9538			1.65601			0.828003	+	0.560724i	$0.189477\pi$
$72$	−6.74399	+	5.14963i	−0.794786	+	0.606889i
$73$	−4.39078	+	7.60506i	−0.513902	+	0.890105i	0.485968	+	0.873977i	$0.338467\pi$
$73$	−4.39078	+	7.60506i	−0.513902	+	0.890105i	−0.999870	+	0.0161279i	$0.994866\pi$
$74$	2.71953	−	0.202617i	0.316138	−	0.0235538i
$75$	−16.8833	+	15.3578i	−1.94951	+	1.77337i
$76$	−0.617177	−	0.242840i	−0.0707950	−	0.0278557i
$77$	−2.24168	+	0.230540i	−0.255463	+	0.0262725i
$78$	2.37742	+	7.99938i	0.269190	+	0.905752i
$79$		−	4.69272i		−	0.527972i	−0.964526	−	0.263986i	$-0.914963\pi$
$79$		−	4.69272i		−	0.527972i	0.964526	−	0.263986i	$-0.0850373\pi$
$80$	11.6212	−	12.4813i	1.29929	−	1.39545i
$81$	5.88504	−	6.80928i	0.653893	−	0.756587i
$82$	0.392632	+	5.26989i	0.0433589	+	0.581962i
$83$	1.15741	−	2.00470i	0.127043	−	0.220044i	−0.795487	−	0.605971i	$-0.792785\pi$
$83$	1.15741	−	2.00470i	0.127043	−	0.220044i	0.922530	+	0.385926i	$0.126118\pi$
$84$	−4.11589	−	8.18898i	−0.449081	−	0.893491i
$85$	7.30067	+	12.6451i	0.791869	+	1.37156i
$86$	2.75197	−	1.87452i	0.296752	−	0.202134i
$87$	2.28962	−	7.17047i	0.245473	−	0.768756i
$88$	−1.63631	−	1.76812i	−0.174431	−	0.188482i
$89$	−7.69912	+	4.44509i	−0.816105	+	0.471178i	−0.849071	−	0.528278i	$-0.822838\pi$
$89$	−7.69912	+	4.44509i	−0.816105	+	0.471178i	0.0329666	+	0.999456i	$0.489505\pi$
$90$	−9.35861	+	15.4791i	−0.986485	+	1.63165i
$91$	−8.96655	+	0.922141i	−0.939950	+	0.0966666i
$92$	8.41712	−	1.26123i	0.877545	−	0.131492i
$93$	10.2550	−	2.23428i	1.06340	−	0.231684i
$94$	−3.28499	+	6.81382i	−0.338821	+	0.702791i
$95$	−1.41383			−0.145056
$96$	4.35717	−	8.77582i	0.444702	−	0.895679i
$97$	3.69412	−	6.39841i	0.375081	−	0.649660i	−0.615258	−	0.788326i	$-0.710948\pi$
$97$	3.69412	−	6.39841i	0.375081	−	0.649660i	0.990339	+	0.138666i	$0.0442815\pi$
$98$	9.51579	−	2.72942i	0.961240	−	0.275713i
$99$	2.08238	+	1.48085i	0.209287	+	0.148831i
$100$	9.64948	−	24.5241i	0.964948	−	2.45241i
$101$	5.67148	−	3.27443i	0.564333	−	0.325818i	−0.190550	−	0.981678i	$-0.561027\pi$
$101$	5.67148	−	3.27443i	0.564333	−	0.325818i	0.754883	+	0.655860i	$0.227694\pi$
$102$	6.09035	+	5.76903i	0.603034	+	0.571219i
$103$	7.01954	+	4.05273i	0.691656	+	0.399328i	0.804232	−	0.594316i	$-0.202577\pi$
$103$	7.01954	+	4.05273i	0.691656	+	0.399328i	−0.112576	+	0.993643i	$0.535910\pi$
$104$	−6.54511	−	7.07234i	−0.641801	−	0.693500i
$105$	−14.5564	−	13.0319i	−1.42056	−	1.27178i
$106$	4.46883	−	3.04397i	0.434051	−	0.295656i
$107$	−1.91800	−	3.32207i	−0.185420	−	0.321157i	0.758298	−	0.651908i	$-0.226031\pi$
$107$	−1.91800	−	3.32207i	−0.185420	−	0.321157i	−0.943718	+	0.330751i	$0.892698\pi$
$108$	−2.62045	+	10.0565i	−0.252153	+	0.967687i
$109$	−2.20783	+	3.82408i	−0.211472	+	0.366280i	−0.952175	−	0.305552i	$-0.901159\pi$
$109$	−2.20783	+	3.82408i	−0.211472	+	0.366280i	0.740704	+	0.671832i	$0.234492\pi$
$110$	−4.62601	−	2.23023i	−0.441072	−	0.212644i
$111$	2.47069	−	2.24745i	0.234507	−	0.213318i
$112$	8.44256	+	6.38147i	0.797747	+	0.602992i
$113$	−0.130662	+	0.0754377i	−0.0122916	+	0.00709658i	−0.506133	−	0.862455i	$-0.668926\pi$
$113$	−0.130662	+	0.0754377i	−0.0122916	+	0.00709658i	0.493842	+	0.869552i	$0.335592\pi$
$114$	−0.778632	+	0.231410i	−0.0729255	+	0.0216735i
$115$	15.7126	−	9.07167i	1.46521	−	0.845938i
$116$	1.28798	+	8.59565i	0.119586	+	0.798086i
$117$	8.32936	+	5.92328i	0.770049	+	0.547607i
$118$	1.48940	−	3.08935i	0.137110	−	0.284398i
$119$	−7.34246	+	5.30955i	−0.673082	+	0.486726i
$120$	1.79356	−	20.8095i	0.163729	−	1.89963i
$121$	5.13726	−	8.89800i	0.467024	−	0.808909i
$122$	5.19137	−	10.7681i	0.470005	−	0.974896i
$123$	4.35510	+	4.78769i	0.392686	+	0.431691i
$124$	−9.48176	+	7.54804i	−0.851487	+	0.677834i
$125$		−	34.8627i		−	3.11822i
$126$	−10.1495	−	4.79445i	−0.904193	−	0.427124i
$127$			18.6526i			1.65515i	0.561357	+	0.827573i	$0.310279\pi$
$127$			18.6526i			1.65515i	−0.561357	+	0.827573i	$0.689721\pi$
$128$	−0.0342542	+	11.3137i	−0.00302767	+	0.999995i
$129$	1.24048	−	3.88483i	0.109218	−	0.342040i
$130$	−18.5037	−	8.92075i	−1.62288	−	0.782402i
$131$	8.90019	−	15.4156i	0.777613	−	1.34687i	−0.155701	−	0.987804i	$-0.549764\pi$
$131$	8.90019	−	15.4156i	0.777613	−	1.34687i	0.933314	−	0.359061i	$-0.116903\pi$
$132$	−2.91268	−	0.471078i	−0.253517	−	0.0410020i
$133$	−0.0897579	−	0.872772i	−0.00778300	−	0.0756789i
$134$	−13.9492	−	6.72503i	−1.20503	−	0.580954i
$135$	2.65117	+	21.9944i	0.228176	+	1.89298i
$136$	−9.25263	−	2.86721i	−0.793407	−	0.245861i
$137$	6.73469	−	3.88827i	0.575383	−	0.332198i	−0.183913	−	0.982942i	$-0.558877\pi$
$137$	6.73469	−	3.88827i	0.575383	−	0.332198i	0.759297	+	0.650745i	$0.225543\pi$
$138$	7.16848	−	7.56775i	0.610222	−	0.644209i
$139$	−10.1853	+	5.88047i	−0.863903	+	0.498775i	−0.865317	−	0.501224i	$-0.832883\pi$
$139$	−10.1853	+	5.88047i	−0.863903	+	0.498775i	0.00141439	+	0.999999i	$0.499550\pi$
$140$	21.7284	+	6.06927i	1.83638	+	0.512947i
$141$	1.97218	+	9.05204i	0.166088	+	0.762319i
$142$	−8.56977	+	17.7756i	−0.719159	+	1.49170i
$143$	−1.45091	+	2.51305i	−0.121331	+	0.210152i
$144$	−2.41824	−	11.7538i	−0.201520	−	0.979484i
$145$	9.26408	+	16.0459i	0.769340	+	1.33254i
$146$	−6.99144	−	10.2641i	−0.578615	−	0.849462i
$147$	7.12059	−	9.81312i	0.587296	−	0.809372i
$148$	−1.41210	+	3.58883i	−0.116074	+	0.295000i
$149$	−3.24952	−	1.87611i	−0.266211	−	0.153697i	0.360953	−	0.932584i	$-0.382451\pi$
$149$	−3.24952	−	1.87611i	−0.266211	−	0.153697i	−0.627165	+	0.778887i	$0.715785\pi$
$150$	−9.19529	−	30.9396i	−0.750792	−	2.52621i
$151$	−3.01746	+	1.74213i	−0.245558	+	0.141773i	−0.617728	−	0.786391i	$-0.711947\pi$
$151$	−3.01746	+	1.74213i	−0.245558	+	0.141773i	0.372171	+	0.928164i	$0.378614\pi$
$152$	0.688396	−	0.637078i	0.0558363	−	0.0516738i
$153$	10.2284	+	0.970088i	0.826917	+	0.0784270i
$154$	1.08306	−	2.99726i	0.0872753	−	0.241526i
$155$	−12.9175	+	22.3738i	−1.03756	+	1.79711i
$156$	−11.6505	−	1.88427i	−0.932786	−	0.150862i
$157$	−2.90923			−0.232182			−0.116091	−	0.993239i	$-0.537036\pi$
$157$	−2.90923			−0.232182			−0.116091	+	0.993239i	$0.537036\pi$
$158$	5.97804	+	2.88206i	0.475588	+	0.229284i
$159$	2.01437	−	6.30845i	0.159750	−	0.500293i
$160$	8.76264	+	22.4696i	0.692747	+	1.77638i
$161$	6.59754	+	9.12360i	0.519959	+	0.719040i
$162$	5.06000	+	11.6789i	0.397551	+	0.917580i
$163$	11.4224	−	6.59470i	0.894668	−	0.516537i	0.0192018	−	0.999816i	$-0.493888\pi$
$163$	11.4224	−	6.59470i	0.894668	−	0.516537i	0.875467	+	0.483279i	$0.160554\pi$
$164$	−6.95443	−	2.73636i	−0.543050	−	0.213674i
$165$	−6.14557	+	1.33895i	−0.478432	+	0.104237i
$166$	1.84295	+	2.70562i	0.143041	+	0.209997i
$167$	−2.19364	−	3.79950i	−0.169749	−	0.294014i	0.768582	−	0.639751i	$-0.220962\pi$
$167$	−2.19364	−	3.79950i	−0.169749	−	0.294014i	−0.938332	+	0.345737i	$0.887629\pi$
$168$	12.9597	−	0.213915i	0.999864	−	0.0165039i
$169$	0.696475	−	1.20633i	0.0535750	−	0.0927946i
$170$	−20.5923	+	1.53423i	−1.57936	+	0.117670i
$171$	−0.576551	+	0.810750i	−0.0440900	+	0.0619996i
$172$	0.697805	+	4.65696i	0.0532071	+	0.355090i
$173$		−	14.1229i		−	1.07375i	−0.843663	−	0.536874i	$-0.819605\pi$
$173$		−	14.1229i		−	1.07375i	0.843663	−	0.536874i	$-0.180395\pi$
$174$	7.72826	+	7.32053i	0.585878	+	0.554968i
$175$	34.6804	−	3.56661i	2.62159	−	0.269611i
$176$	3.25735	−	0.998591i	0.245532	−	0.0752717i
$177$	−0.894179	−	4.10415i	−0.0672106	−	0.308487i
$178$	−0.934129	−	12.5379i	−0.0700159	−	0.939752i
$179$	7.83236	−	13.5661i	0.585418	−	1.01397i	−0.409405	−	0.912353i	$-0.634264\pi$
$179$	7.83236	−	13.5661i	0.585418	−	1.01397i	0.994823	−	0.101622i	$-0.0324031\pi$
$180$	−13.9712	−	21.4285i	−1.04135	−	1.59719i
$181$	7.43944			0.552970			0.276485	−	0.961018i	$-0.410830\pi$
$181$	7.43944			0.552970			0.276485	+	0.961018i	$0.410830\pi$
$182$	4.33214	−	11.9888i	0.321120	−	0.888669i
$183$	−3.11670	−	14.3052i	−0.230393	−	1.05747i
$184$	−3.56274	+	11.4971i	−0.262649	+	0.847580i
$185$			8.22134i			0.604445i
$186$	−3.45193	+	14.4360i	−0.253108	+	1.05850i
$187$			2.91703i			0.213314i
$188$	−6.66260	−	8.36948i	−0.485920	−	0.610407i
$189$	−13.4090	+	3.03291i	−0.975362	+	0.220612i
$190$	0.868314	−	1.80108i	0.0629941	−	0.130664i
$191$	0.440702			0.0318881			0.0159441	−	0.999873i	$-0.494925\pi$
$191$	0.440702			0.0318881			0.0159441	+	0.999873i	$0.494925\pi$
$192$	8.50351	+	10.9403i	0.613688	+	0.789549i
$193$	1.76604			0.127122			0.0635610	−	0.997978i	$-0.479754\pi$
$193$	1.76604			0.127122			0.0635610	+	0.997978i	$0.479754\pi$
$194$	5.88215	+	8.63555i	0.422314	+	0.619996i
$195$	−24.5818	+	5.35568i	−1.76034	+	0.383528i
$196$	−2.36717	+	13.7984i	−0.169084	+	0.985602i
$197$			20.2138i			1.44017i	0.693884	+	0.720086i	$0.255898\pi$
$197$			20.2138i			1.44017i	−0.693884	+	0.720086i	$0.744102\pi$
$198$	−3.16536	+	1.74327i	−0.224952	+	0.123889i
$199$	−11.8547	−	6.84431i	−0.840357	−	0.485180i	0.0170285	−	0.999855i	$-0.494579\pi$
$199$	−11.8547	−	6.84431i	−0.840357	−	0.485180i	−0.857386	+	0.514675i	$0.827913\pi$
$200$	25.3149	+	27.3540i	1.79003	+	1.93422i
$201$	−18.5313	+	4.03745i	−1.30710	+	0.284780i
$202$	0.688117	+	9.23589i	0.0484158	+	0.649835i
$203$	−9.31711	+	6.73748i	−0.653933	+	0.472878i
$204$	−11.0896	+	4.21540i	−0.776425	+	0.295137i
$205$	−15.9313			−1.11269
$206$	−9.47385	+	6.45316i	−0.660074	+	0.449613i
$207$	1.20541	−	12.7096i	0.0837819	−	0.883378i
$208$	13.0291	−	3.99428i	0.903408	−	0.276954i
$209$	−0.244611	−	0.141227i	−0.0169201	−	0.00976884i
$210$	25.5412	−	10.5397i	1.76251	−	0.727310i
$211$	11.4244	−	6.59590i	0.786491	−	0.454081i	−0.0522349	−	0.998635i	$-0.516634\pi$
$211$	11.4244	−	6.59590i	0.786491	−	0.454081i	0.838726	+	0.544554i	$0.183301\pi$
$212$	1.13314	+	7.56229i	0.0778246	+	0.519380i
$213$	5.14496	+	23.6146i	0.352527	+	1.61805i
$214$	5.40993	−	0.403065i	0.369815	−	0.0275529i
$215$	5.01911	+	8.69335i	0.342300	+	0.592882i
$216$	−11.2016	−	9.51444i	−0.762171	−	0.647376i
$217$	−14.6316	−	6.55368i	−0.993257	−	0.444893i
$218$	−3.51553	−	5.16112i	−0.238101	−	0.349555i
$219$	−14.4894	−	4.62664i	−0.979101	−	0.312639i
$220$	5.68217	−	4.52335i	0.383092	−	0.304964i
$221$			11.6679i			0.784866i
$222$	1.34563	+	4.52768i	0.0903128	+	0.303878i
$223$	−21.8841	−	12.6348i	−1.46547	−	0.846087i	−0.466211	−	0.884673i	$-0.654381\pi$
$223$	−21.8841	−	12.6348i	−1.46547	−	0.846087i	−0.999255	+	0.0385860i	$0.987715\pi$
$224$	−13.3144	+	6.83574i	−0.889604	+	0.456732i
$225$	−32.2159	−	22.9098i	−2.14773	−	1.52732i
$226$	−0.0158531	−	0.212780i	−0.00105454	−	0.0141539i
$227$	−3.96587	−	6.86909i	−0.263224	−	0.455917i	0.703873	−	0.710326i	$-0.251453\pi$
$227$	−3.96587	−	6.86909i	−0.263224	−	0.455917i	−0.967097	+	0.254409i	$0.918119\pi$
$228$	0.183408	−	1.13402i	0.0121465	−	0.0751022i
$229$	3.63237	−	6.29145i	0.240034	−	0.415751i	−0.720690	−	0.693258i	$-0.756175\pi$
$229$	3.63237	−	6.29145i	0.240034	−	0.415751i	0.960724	+	0.277507i	$0.0895081\pi$
$230$	1.90640	+	25.5876i	0.125704	+	1.68720i
$231$	−1.21670	−	3.70871i	−0.0800528	−	0.244015i
$232$	−11.7410	−	3.63831i	−0.770834	−	0.238867i
$233$	19.2592	−	11.1193i	1.26171	−	0.728450i	0.288307	−	0.957538i	$-0.406908\pi$
$233$	19.2592	−	11.1193i	1.26171	−	0.728450i	0.973406	+	0.229088i	$0.0735742\pi$
$234$	−12.6612	+	6.97293i	−0.827686	+	0.455835i
$235$	−19.7492	−	11.4022i	−1.28829	−	0.743797i
$236$	3.02079	+	3.79469i	0.196637	+	0.247013i
$237$	7.94173	−	1.73028i	0.515871	−	0.112394i
$238$	−2.25441	−	12.6144i	−0.146131	−	0.817672i
$239$	−8.54515	−	14.8006i	−0.552740	−	0.957374i	−0.998076	−	0.0620101i	$-0.980249\pi$
$239$	−8.54515	−	14.8006i	−0.552740	−	0.957374i	0.445335	−	0.895364i	$-0.353084\pi$
$240$	25.4076	+	15.0651i	1.64005	+	0.972445i
$241$	−2.82104	−	4.88618i	−0.181719	−	0.314747i	0.760747	−	0.649049i	$-0.224833\pi$
$241$	−2.82104	−	4.88618i	−0.181719	−	0.314747i	−0.942466	+	0.334302i	$0.891500\pi$
$242$	8.18006	+	12.0091i	0.525834	+	0.771974i
$243$	13.6936	+	7.44885i	0.878445	+	0.477844i
$244$	10.5291	+	13.2265i	0.674057	+	0.846743i
$245$	6.07426	+	29.2195i	0.388070	+	1.86677i
$246$	−8.77373	+	2.60756i	−0.559393	+	0.166252i
$247$	−0.978426	−	0.564894i	−0.0622558	−	0.0359434i
$248$	−3.79215	−	16.7145i	−0.240802	−	1.06137i
$249$	3.81941	+	1.21959i	0.242045	+	0.0772881i
$250$	44.4115	+	21.4111i	2.80883	+	1.35416i
$251$	4.80568			0.303332			0.151666	−	0.988432i	$-0.451536\pi$
$251$	4.80568			0.303332			0.151666	+	0.988432i	$0.451536\pi$
$252$	12.3410	−	9.98494i	0.777412	−	0.628992i
$253$	3.62464			0.227879
$254$	−23.7614	−	11.4556i	−1.49093	−	0.718786i
$255$	−18.7081	+	17.0178i	−1.17155	+	1.06569i
$256$	−14.3914	−	6.99198i	−0.899462	−	0.436999i
$257$	4.21723	+	2.43482i	0.263063	+	0.151880i	0.625731	−	0.780039i	$-0.284801\pi$
$257$	4.21723	+	2.43482i	0.263063	+	0.151880i	−0.362668	+	0.931918i	$0.618134\pi$
$258$	4.18703	+	3.96613i	0.260673	+	0.246920i
$259$	−5.07510	+	0.521935i	−0.315351	+	0.0324315i
$260$	22.7282	−	18.0930i	1.40955	−	1.12208i
$261$	12.9792	+	1.23098i	0.803391	+	0.0761957i
$262$	14.1718	+	20.8055i	0.875534	+	1.28537i
$263$	−0.561213	−	0.972049i	−0.0346058	−	0.0599391i	0.848204	−	0.529670i	$-0.177684\pi$
$263$	−0.561213	−	0.972049i	−0.0346058	−	0.0599391i	−0.882810	+	0.469731i	$0.844351\pi$
$264$	2.38894	−	3.42114i	0.147029	−	0.210557i
$265$	8.15037	+	14.1169i	0.500673	+	0.867192i
$266$	1.16695	+	0.421675i	0.0715501	+	0.0258546i
$267$	−10.3614	−	11.3906i	−0.634109	−	0.697095i
$268$	17.1340	−	13.6397i	1.04662	−	0.833175i
$269$	−10.0188	−	5.78433i	−0.610854	−	0.352677i	0.162446	−	0.986718i	$-0.448062\pi$
$269$	−10.0188	−	5.78433i	−0.610854	−	0.352677i	−0.773300	+	0.634041i	$0.781395\pi$
$270$	−29.6468	−	10.1307i	−1.80425	−	0.616532i
$271$	1.44803	−	0.836019i	0.0879614	−	0.0507845i	−0.455374	−	0.890300i	$-0.650494\pi$
$271$	1.44803	−	0.836019i	0.0879614	−	0.0507845i	0.543336	+	0.839516i	$0.317161\pi$
$272$	9.33509	−	10.0260i	0.566023	−	0.607915i
$273$	−4.86669	−	14.8345i	−0.294546	−	0.897827i
$274$	0.817116	+	10.9673i	0.0493638	+	0.662559i
$275$	5.61177	−	9.71986i	0.338402	−	0.586130i
$276$	5.23797	+	13.7797i	0.315289	+	0.829439i
$277$	−5.72341	−	9.91325i	−0.343887	−	0.595629i	0.641264	−	0.767320i	$-0.278410\pi$
$277$	−5.72341	−	9.91325i	−0.343887	−	0.595629i	−0.985151	+	0.171691i	$0.945077\pi$
$278$	−1.23577	−	16.5865i	−0.0741167	−	0.994792i
$279$	7.56237	+	16.5313i	0.452747	+	0.989702i
$280$	−21.0762	+	23.9522i	−1.25955	+	1.43142i
$281$	−6.49280	−	3.74862i	−0.387328	−	0.223624i	0.293674	−	0.955906i	$-0.405122\pi$
$281$	−6.49280	−	3.74862i	−0.387328	−	0.223624i	−0.681002	+	0.732282i	$0.738455\pi$
$282$	−12.7426	−	3.04700i	−0.758810	−	0.181446i
$283$			29.9378i			1.77962i	0.456335	+	0.889808i	$0.349162\pi$
$283$			29.9378i			1.77962i	−0.456335	+	0.889808i	$0.650838\pi$
$284$	−17.3812	−	21.8340i	−1.03138	−	1.29561i
$285$	−0.521303	−	2.39270i	−0.0308793	−	0.141732i
$286$	−2.31028	−	3.39171i	−0.136610	−	0.200556i
$287$	−1.01140	−	9.83452i	−0.0597013	−	0.580513i
$288$	16.4583	+	4.13808i	0.969816	+	0.243839i
$289$	−2.63549	−	4.56481i	−0.155029	−	0.268518i
$290$	−26.1304	+	1.94683i	−1.53443	+	0.114322i
$291$	12.1904	+	3.89256i	0.714615	+	0.228186i
$292$	17.3692	−	2.60262i	1.01646	−	0.152307i
$293$	−26.8301	+	15.4904i	−1.56743	+	0.904958i	−0.570967	+	0.820973i	$0.693432\pi$
$293$	−26.8301	+	15.4904i	−1.56743	+	0.904958i	−0.996467	+	0.0839853i	$0.973235\pi$
$294$	8.12775	+	15.0977i	0.474020	+	0.880514i
$295$	8.95419	+	5.16970i	0.521333	+	0.300992i
$296$	−3.70456	−	4.00297i	−0.215323	−	0.232668i
$297$	−1.73831	+	4.07013i	−0.100867	+	0.236173i
$298$	4.38568	−	2.98733i	0.254056	−	0.173051i
$299$	14.4983			0.838456
$300$	45.0613	+	7.28790i	2.60161	+	0.420767i
$301$	−5.04784	+	3.65024i	−0.290953	+	0.210396i
$302$	−0.366107	−	4.91388i	−0.0210671	−	0.282762i
$303$	7.63265	+	8.39080i	0.438484	+	0.482039i
$304$	0.388789	+	1.26821i	0.0222986	+	0.0727368i
$305$	31.2102	+	18.0192i	1.78709	+	1.03178i
$306$	−7.51761	+	12.4341i	−0.429753	+	0.710812i
$307$			19.8714i			1.13412i	0.823677	+	0.567060i	$0.191919\pi$
$307$			19.8714i			1.13412i	−0.823677	+	0.567060i	$0.808081\pi$
$308$	3.15304	+	3.22049i	0.179661	+	0.183504i
$309$	−4.27043	+	13.3738i	−0.242936	+	0.760810i
$310$	−20.5685	−	30.1966i	−1.16821	−	1.71505i
$311$	30.0052			1.70144			0.850721	−	0.525618i	$-0.176166\pi$
$311$	30.0052			1.70144			0.850721	+	0.525618i	$0.176166\pi$
$312$	9.55558	−	13.6843i	0.540978	−	0.774721i
$313$	−27.9646			−1.58065			−0.790326	−	0.612686i	$-0.790089\pi$
$313$	−27.9646			−1.58065			−0.790326	+	0.612686i	$0.790089\pi$
$314$	1.78672	−	3.70606i	0.100830	−	0.209145i
$315$	16.6874	−	29.4396i	0.940227	−	1.65873i
$316$	−7.34289	+	5.84538i	−0.413070	+	0.328828i
$317$			3.77058i			0.211777i	0.994378	+	0.105888i	$0.0337686\pi$
$317$			3.77058i			0.211777i	−0.994378	+	0.105888i	$0.966231\pi$
$318$	6.79918	+	6.44047i	0.381279	+	0.361163i
$319$			3.70152i			0.207245i
$320$	−34.0056	−	2.63713i	−1.90097	−	0.147420i
$321$	4.91491	−	4.47082i	0.274324	−	0.249537i
$322$	−15.6744	+	2.80128i	−0.873502	+	0.156109i
$323$	−1.13571			−0.0631925
$324$	−17.9853	−	0.726732i	−0.999185	−	0.0403740i
$325$	22.4466	−	38.8787i	1.24511	−	2.15660i
$326$	1.38587	+	18.6011i	0.0767561	+	1.03022i
$327$	−7.28574	−	2.32643i	−0.402902	−	0.128652i
$328$	7.75694	−	7.17868i	0.428305	−	0.396376i
$329$	5.78488	−	12.9152i	0.318931	−	0.712038i
$330$	2.06865	−	8.65115i	0.113876	−	0.476230i
$331$		−	9.44739i		−	0.519276i	−0.965706	−	0.259638i	$-0.916397\pi$
$331$		−	9.44739i		−	0.519276i	0.965706	−	0.259638i	$-0.0836032\pi$
$332$	−4.57854	+	0.686054i	−0.251280	+	0.0376521i
$333$	4.71445	+	3.35260i	0.258350	+	0.183721i
$334$	6.18741	−	0.460991i	0.338560	−	0.0252243i
$335$	23.3425	−	40.4305i	1.27534	−	2.20895i
$336$	−7.68677	+	16.6407i	−0.419348	+	0.907826i
$337$	−10.9656	−	18.9929i	−0.597333	−	1.03461i	−0.993213	−	0.116308i	$-0.962894\pi$
$337$	−10.9656	−	18.9929i	−0.597333	−	1.03461i	0.395881	−	0.918302i	$-0.370439\pi$
$338$	1.10900	+	1.62811i	0.0603214	+	0.0885576i
$339$	−0.175844	−	0.193311i	−0.00955054	−	0.0104992i
$340$	10.6925	−	27.1748i	0.579880	−	1.47376i
$341$	−4.46979	+	2.58063i	−0.242053	+	0.139749i
$342$	−0.678720	−	1.23239i	−0.0367010	−	0.0666402i
$343$	−17.6518	+	5.60470i	−0.953110	+	0.302626i
$344$	−6.36105	−	1.97117i	−0.342965	−	0.106278i
$345$	21.1459	+	23.2463i	1.13846	+	1.25154i
$346$	17.9912	+	8.67368i	0.967211	+	0.466300i
$347$	−23.3765			−1.25491			−0.627457	−	0.778651i	$-0.715904\pi$
$347$	−23.3765			−1.25491			−0.627457	+	0.778651i	$0.715904\pi$
$348$	−14.0720	+	5.34907i	−0.754336	+	0.286740i
$349$	4.35929	−	7.55051i	0.233347	−	0.404169i	−0.725444	−	0.688281i	$-0.758365\pi$
$349$	4.35929	−	7.55051i	0.233347	−	0.404169i	0.958791	+	0.284112i	$0.0916988\pi$
$350$	−16.7557	+	46.3697i	−0.895627	+	2.47857i
$351$	−6.95310	+	16.2802i	−0.371129	+	0.868973i
$352$	−0.728417	+	4.76282i	−0.0388248	+	0.253859i
$353$	17.9123	−	10.3417i	0.953376	−	0.550432i	0.0592482	−	0.998243i	$-0.481130\pi$
$353$	17.9123	−	10.3417i	0.953376	−	0.550432i	0.894128	+	0.447811i	$0.147796\pi$
$354$	5.77743	+	1.38149i	0.307067	+	0.0734256i
$355$	−51.5210	−	29.7456i	−2.73445	−	1.57873i
$356$	16.5456	+	6.51021i	0.876917	+	0.345040i
$357$	−11.6929	−	10.4683i	−0.618854	−	0.554041i
$358$	12.4715	+	18.3093i	0.659137	+	0.967676i
$359$	−8.63068	−	14.9488i	−0.455510	−	0.788966i	0.543208	−	0.839598i	$-0.317210\pi$
$359$	−8.63068	−	14.9488i	−0.455510	−	0.788966i	−0.998717	+	0.0506324i	$0.983876\pi$
$360$	35.8782	−	4.63743i	1.89095	−	0.244414i
$361$	−9.44502	+	16.3592i	−0.497106	+	0.861013i
$362$	−4.56897	+	9.47708i	−0.240140	+	0.498104i
$363$	16.9527	+	5.41322i	0.889787	+	0.284120i
$364$	12.6119	+	12.8817i	0.661042	+	0.675184i
$365$	32.4239	−	18.7199i	1.69714	−	0.979846i
$366$	20.1375	+	4.81526i	1.05260	+	0.251698i
$367$	7.75182	−	4.47552i	0.404642	−	0.233620i	−0.283843	−	0.958871i	$-0.591609\pi$
$367$	7.75182	−	4.47552i	0.404642	−	0.233620i	0.688485	+	0.725251i	$0.258276\pi$
$368$	−12.4581	−	11.5996i	−0.649423	−	0.604670i
$369$	−6.49666	+	9.13565i	−0.338202	+	0.475583i
$370$	−10.4731	−	5.04918i	−0.544472	−	0.262494i
$371$	−8.19702	+	5.92751i	−0.425568	+	0.307741i
$372$	−16.2700	−	13.2634i	−0.843560	−	0.687674i
$373$	13.2643	−	22.9744i	0.686799	−	1.18957i	−0.286069	−	0.958209i	$-0.592349\pi$
$373$	13.2643	−	22.9744i	0.686799	−	1.18957i	0.972868	−	0.231362i	$-0.0743181\pi$
$374$	−3.71599	−	1.79151i	−0.192149	−	0.0926367i
$375$	58.9999	−	12.8544i	3.04674	−	0.663800i
$376$	14.7537	−	3.34731i	0.760866	−	0.172624i
$377$			14.8058i			0.762536i
$378$	4.37160	−	18.9444i	0.224851	−	0.974393i
$379$		−	31.0493i		−	1.59490i	−0.603387	−	0.797449i	$-0.706183\pi$
$379$		−	31.0493i		−	1.59490i	0.603387	−	0.797449i	$-0.293817\pi$
$380$	1.76111	+	2.21229i	0.0903430	+	0.113488i
$381$	−31.5667	+	6.87749i	−1.61721	+	0.352344i
$382$	−0.270660	+	0.561409i	−0.0138482	+	0.0287242i
$383$	−19.0825	+	33.0519i	−0.975070	+	1.68887i	−0.295366	+	0.955384i	$0.595442\pi$
$383$	−19.0825	+	33.0519i	−0.975070	+	1.68887i	−0.679704	+	0.733487i	$0.737892\pi$
$384$	−19.1593	+	4.11355i	−0.977719	+	0.209919i
$385$	8.76834	+	3.92745i	0.446876	+	0.200161i
$386$	−1.08462	+	2.24975i	−0.0552057	+	0.114509i
$387$	7.03188	+	0.666922i	0.357450	+	0.0339015i
$388$	−14.6133	+	2.18968i	−0.741880	+	0.111164i
$389$	−24.5349	+	14.1652i	−1.24397	+	0.718206i	−0.969900	−	0.243503i	$-0.921703\pi$
$389$	−24.5349	+	14.1652i	−1.24397	+	0.718206i	−0.274070	+	0.961710i	$0.588370\pi$
$390$	8.27445	−	34.6039i	0.418993	−	1.75224i
$391$	12.6217	−	7.28712i	0.638305	−	0.368525i
$392$	−16.1240	−	11.4899i	−0.814383	−	0.580328i
$393$	29.3702	+	9.37827i	1.48153	+	0.473071i
$394$	−25.7503	−	12.4144i	−1.29728	−	0.625429i
$395$	−10.0036	+	17.3268i	−0.503337	+	0.871805i
$396$	−0.276723	−	5.10297i	−0.0139059	−	0.256434i
$397$	1.52318	+	2.63822i	0.0764461	+	0.132409i	0.901714	−	0.432333i	$-0.142309\pi$
$397$	1.52318	+	2.63822i	0.0764461	+	0.132409i	−0.825268	+	0.564741i	$0.808976\pi$
$398$	15.9996	−	10.8982i	0.801986	−	0.546277i
$399$	1.44394	−	0.473706i	0.0722874	−	0.0237150i
$400$	−50.3935	+	15.4489i	−2.51967	+	0.772445i
$401$	−20.2242	−	11.6764i	−1.00995	−	0.583093i	−0.0987709	−	0.995110i	$-0.531491\pi$
$401$	−20.2242	−	11.6764i	−1.00995	−	0.583093i	−0.911176	+	0.412017i	$0.864824\pi$
$402$	6.23781	−	26.0866i	0.311113	−	1.30108i
$403$	−17.8788	+	10.3223i	−0.890606	+	0.514192i
$404$	−12.1882	−	4.79568i	−0.606385	−	0.238594i
$405$	−36.2447	+	12.5964i	−1.80101	+	0.625919i
$406$	−2.86070	−	16.0069i	−0.141974	−	0.794409i
$407$	−0.821221	+	1.42240i	−0.0407064	+	0.0705056i
$408$	1.44074	−	16.7159i	0.0713272	−	0.827559i
$409$	−11.8548			−0.586183			−0.293091	−	0.956084i	$-0.594684\pi$
$409$	−11.8548			−0.586183			−0.293091	+	0.956084i	$0.594684\pi$
$410$	9.78428	−	20.2948i	0.483211	−	1.00229i
$411$	9.06351	+	9.96378i	0.447070	+	0.491477i
$412$	−2.40225	−	16.0320i	−0.118350	−	0.789838i
$413$	−2.62284	+	5.85570i	−0.129062	+	0.288140i
$414$	15.4504	+	9.34124i	0.759346	+	0.459097i
$415$	−8.54696	+	4.93459i	−0.419554	+	0.242230i
$416$	−2.91361	+	19.0509i	−0.142851	+	0.934047i
$417$	−13.7073	−	15.0688i	−0.671248	−	0.737923i
$418$	0.330137	−	0.224875i	0.0161476	−	0.0109990i
$419$	15.1361	+	26.2165i	0.739446	+	1.28076i	0.952745	+	0.303772i	$0.0982460\pi$
$419$	15.1361	+	26.2165i	0.739446	+	1.28076i	−0.213298	+	0.976987i	$0.568421\pi$
$420$	−2.25974	+	39.0099i	−0.110264	+	1.90349i
$421$	16.5898	−	28.7343i	0.808536	−	1.40043i	−0.105342	−	0.994436i	$-0.533594\pi$
$421$	16.5898	−	28.7343i	0.808536	−	1.40043i	0.913878	−	0.405989i	$-0.133073\pi$
$422$	1.38612	+	18.6045i	0.0674753	+	0.905651i
$423$	−14.5920	+	6.67525i	−0.709489	+	0.324562i
$424$	−10.3295	−	3.20092i	−0.501645	−	0.155450i
$425$		−	45.1284i		−	2.18905i
$426$	−33.2424	−	7.94890i	−1.61060	−	0.385125i
$427$	−9.14202	+	20.4103i	−0.442414	+	0.987723i
$428$	−2.80907	+	7.13923i	−0.135782	+	0.345088i
$429$	−4.78794	−	1.52885i	−0.231164	−	0.0738135i
$430$	−14.1569	+	1.05476i	−0.682709	+	0.0508650i
$431$	8.05650	−	13.9543i	0.388068	−	0.672154i	−0.604122	−	0.796892i	$-0.706476\pi$
$431$	8.05650	−	13.9543i	0.388068	−	0.672154i	0.992190	+	0.124739i	$0.0398092\pi$
$432$	18.9999	−	8.42632i	0.914134	−	0.405411i
$433$	19.4444			0.934438			0.467219	−	0.884142i	$-0.345256\pi$
$433$	19.4444			0.934438			0.467219	+	0.884142i	$0.345256\pi$
$434$	17.3348	−	14.6142i	0.832096	−	0.701503i
$435$	−23.7394	+	21.5944i	−1.13822	+	1.03537i
$436$	8.73382	−	1.30869i	0.418274	−	0.0626747i
$437$			1.41121i			0.0675073i
$438$	14.7926	−	15.6165i	0.706817	−	0.746185i
$439$		−	39.6685i		−	1.89327i	−0.322303	−	0.946636i	$-0.604457\pi$
$439$		−	39.6685i		−	1.89327i	0.322303	−	0.946636i	$-0.395543\pi$
$440$	2.27254	+	10.0165i	0.108339	+	0.477520i
$441$	19.2327	+	8.43228i	0.915843	+	0.401537i
$442$	−14.8637	−	7.16589i	−0.706992	−	0.340846i
$443$	−7.40095			−0.351630			−0.175815	−	0.984423i	$-0.556256\pi$
$443$	−7.40095			−0.351630			−0.175815	+	0.984423i	$0.556256\pi$
$444$	−6.59423	−	1.06650i	−0.312948	−	0.0506141i
$445$	37.9029			1.79677
$446$	29.5356	−	20.1183i	1.39855	−	0.952631i
$447$	1.97689	−	6.19108i	0.0935036	−	0.292828i
$448$	−0.530938	−	21.1594i	−0.0250845	−	0.999685i
$449$			26.3471i			1.24340i	0.783257	+	0.621698i	$0.213557\pi$
$449$			26.3471i			1.24340i	−0.783257	+	0.621698i	$0.786443\pi$
$450$	48.9703	−	26.9696i	2.30848	−	1.27136i
$451$	−2.75632	−	1.59136i	−0.129790	−	0.0749342i
$452$	0.280797	+	0.110485i	0.0132076	+	0.00519677i
$453$	−4.06089	−	4.46425i	−0.190797	−	0.209749i
$454$	11.1862	−	0.833422i	0.524993	−	0.0391145i
$455$	35.0726	+	15.7095i	1.64423	+	0.736472i
$456$	1.33198	+	0.930107i	0.0623757	+	0.0435562i
$457$	7.88316			0.368759			0.184379	−	0.982855i	$-0.440973\pi$
$457$	7.88316			0.368759			0.184379	+	0.982855i	$0.440973\pi$
$458$	5.78382	+	8.49120i	0.270260	+	0.396768i
$459$	2.12964	+	17.6677i	0.0994030	+	0.824658i
$460$	−33.7668	−	13.2862i	−1.57439	−	0.619474i
$461$	−3.46807	−	2.00229i	−0.161524	−	0.0932560i	0.417059	−	0.908879i	$-0.363061\pi$
$461$	−3.46807	−	2.00229i	−0.161524	−	0.0932560i	−0.578583	+	0.815623i	$0.696394\pi$
$462$	5.47175	+	0.727776i	0.254569	+	0.0338592i
$463$	16.1624	−	9.33139i	0.751133	−	0.433667i	−0.0749704	−	0.997186i	$-0.523886\pi$
$463$	16.1624	−	9.33139i	0.751133	−	0.433667i	0.826103	+	0.563519i	$0.190553\pi$
$464$	11.8456	−	12.7223i	0.549919	−	0.590619i
$465$	−42.6272	−	13.6114i	−1.97679	−	0.631213i
$466$	2.33671	+	31.3632i	0.108246	+	1.45287i
$467$	18.3541	+	31.7903i	0.849328	+	1.47108i	0.881809	+	0.471607i	$0.156326\pi$
$467$	18.3541	+	31.7903i	0.849328	+	1.47108i	−0.0324813	+	0.999472i	$0.510341\pi$
$468$	−1.10687	−	20.4115i	−0.0511651	−	0.943521i
$469$	26.4400	+	11.8428i	1.22088	+	0.546850i
$470$	26.6543	−	18.1557i	1.22947	−	0.837460i
$471$	−1.07268	−	4.92344i	−0.0494264	−	0.226860i
$472$	−6.68927	+	1.51765i	−0.307899	+	0.0698557i
$473$			2.00541i			0.0922091i
$474$	−2.67326	+	11.1796i	−0.122787	+	0.513496i
$475$	3.78431	+	2.18487i	0.173636	+	0.100249i
$476$	17.4540	+	4.87534i	0.800004	+	0.223461i
$477$	11.4188	+	1.08299i	0.522833	+	0.0495868i
$478$	24.1025	−	1.79575i	1.10242	−	0.0821358i
$479$	5.36860	+	9.29868i	0.245297	+	0.424868i	0.962215	−	0.272290i	$-0.0877810\pi$
$479$	5.36860	+	9.29868i	0.245297	+	0.424868i	−0.716918	+	0.697158i	$0.754448\pi$
$480$	−34.7955	+	23.1143i	−1.58819	+	1.05502i
$481$	−3.28482	+	5.68947i	−0.149775	+	0.259417i
$482$	7.95705	−	0.592838i	0.362434	−	0.0270030i
$483$	−13.0077	+	14.5294i	−0.591871	+	0.661109i
$484$	−20.3222	+	3.04510i	−0.923736	+	0.138414i
$485$	−27.2794	+	15.7497i	−1.23869	+	0.715159i
$486$	−17.8991	+	12.8695i	−0.811918	+	0.583771i
$487$	20.1837	+	11.6531i	0.914612	+	0.528051i	0.881912	−	0.471414i	$-0.156256\pi$
$487$	20.1837	+	11.6531i	0.914612	+	0.528051i	0.0326998	+	0.999465i	$0.489589\pi$
$488$	−23.3158	+	5.28985i	−1.05545	+	0.239460i
$489$	15.3721	+	16.8991i	0.695153	+	0.764202i
$490$	−40.9532	−	10.2074i	−1.85008	−	0.461121i
$491$	11.7342	+	20.3242i	0.529557	+	0.917220i	0.999406	+	0.0344729i	$0.0109752\pi$
$491$	11.7342	+	20.3242i	0.529557	+	0.917220i	−0.469848	+	0.882747i	$0.655691\pi$
$492$	2.06667	−	12.7783i	0.0931727	−	0.576089i
$493$	7.44168	+	12.8894i	0.335156	+	0.580508i
$494$	1.32052	−	0.899481i	0.0594131	−	0.0404696i
$495$	−4.53193	−	9.90677i	−0.203695	−	0.445276i
$496$	23.6215	+	5.43446i	1.06064	+	0.244014i
$497$	15.0914	−	33.6927i	0.676942	−	1.51133i
$498$	−3.89934	+	4.11652i	−0.174734	+	0.184466i
$499$	11.0247	+	6.36513i	0.493535	+	0.284942i	0.726040	−	0.687653i	$-0.241359\pi$
$499$	11.0247	+	6.36513i	0.493535	+	0.284942i	−0.232505	+	0.972595i	$0.574692\pi$
$500$	−54.5511	+	43.4259i	−2.43960	+	1.94207i
$501$	5.62125	−	5.11334i	0.251139	−	0.228447i
$502$	−2.95143	+	6.12194i	−0.131729	+	0.273235i
$503$	−29.8656			−1.33164			−0.665822	−	0.746111i	$-0.731919\pi$
$503$	−29.8656			−1.33164			−0.665822	+	0.746111i	$0.731919\pi$
$504$	5.14047	+	21.8535i	0.228975	+	0.973432i
$505$	−27.9208			−1.24246
$506$	−2.22609	+	4.61742i	−0.0989618	+	0.205269i
$507$	2.29833	+	0.733887i	0.102073	+	0.0325931i
$508$	29.1864	−	23.2341i	1.29494	−	1.03085i
$509$	36.2754	+	20.9436i	1.60788	+	0.928309i	0.989844	+	0.142159i	$0.0454043\pi$
$509$	36.2754	+	20.9436i	1.60788	+	0.928309i	0.618035	+	0.786151i	$0.287929\pi$
$510$	−10.1892	−	34.2838i	−0.451184	−	1.51811i
$511$	13.6144	+	18.8271i	0.602266	+	0.832861i
$512$	17.7456	−	14.0390i	0.784253	−	0.620442i
$513$	−1.58466	−	0.676790i	−0.0699643	−	0.0298810i
$514$	−5.69174	+	3.87696i	−0.251052	+	0.171005i
$515$	−17.2787	−	29.9275i	−0.761389	−	1.31876i
$516$	−7.62392	+	2.89802i	−0.335624	+	0.127578i
$517$	−2.27791	−	3.94545i	−0.100182	−	0.173521i
$518$	2.45201	−	6.78570i	0.107735	−	0.298147i
$519$	23.9010	−	5.20735i	1.04914	−	0.228577i
$520$	9.08997	+	40.0653i	0.398622	+	1.75698i
$521$	−2.31281	−	1.33530i	−0.101326	−	0.0585007i	0.448481	−	0.893793i	$-0.351965\pi$
$521$	−2.31281	−	1.33530i	−0.101326	−	0.0585007i	−0.549807	+	0.835292i	$0.685299\pi$
$522$	−9.53937	+	15.7781i	−0.417527	+	0.690589i
$523$	−24.9885	+	14.4271i	−1.09267	+	0.630855i	−0.934287	−	0.356523i	$-0.883962\pi$
$523$	−24.9885	+	14.4271i	−1.09267	+	0.630855i	−0.158386	+	0.987377i	$0.550629\pi$
$524$	−35.2077	+	5.27556i	−1.53806	+	0.230464i
$525$	18.8232	+	57.3763i	0.821510	+	2.50411i
$526$	1.58296	−	0.117938i	0.0690204	−	0.00514234i
$527$	−10.3764	+	17.9725i	−0.452004	+	0.782893i
$528$	2.89100	+	5.14438i	0.125815	+	0.223881i
$529$	2.44518	+	4.23517i	0.106312	+	0.184138i
$530$	−22.9890	+	1.71279i	−0.998579	+	0.0743988i
$531$	6.61597	−	3.02653i	0.287108	−	0.131340i
$532$	−1.25386	+	1.22760i	−0.0543616	+	0.0532230i
$533$	−11.0250	−	6.36531i	−0.477547	−	0.275712i
$534$	20.8740	−	6.20377i	0.903307	−	0.268464i
$535$			16.3546i			0.707072i
$536$	6.85260	+	30.2038i	0.295987	+	1.30461i
$537$	25.8464	+	8.25309i	1.11536	+	0.356147i
$538$	13.5217	−	9.21038i	0.582962	−	0.397088i
$539$	−1.86779	+	5.66210i	−0.0804512	+	0.243884i
$540$	31.1131	−	31.5452i	1.33890	−	1.35749i
$541$	−12.4775	−	21.6117i	−0.536450	−	0.929158i	−0.999092	−	0.0426129i	$-0.986432\pi$
$541$	−12.4775	−	21.6117i	−0.536450	−	0.929158i	0.462642	−	0.886545i	$-0.346902\pi$
$542$	0.175688	+	2.35808i	0.00754646	+	0.101288i
$543$	2.74304	+	12.5901i	0.117715	+	0.540295i
$544$	7.03888	+	18.0494i	0.301789	+	0.773864i
$545$	16.3038	−	9.41300i	0.698378	−	0.403209i
$546$	21.8866	+	2.91105i	0.936659	+	0.124581i
$547$	32.7756	+	18.9230i	1.40138	+	0.809088i	0.994535	−	0.104408i	$-0.0332948\pi$
$547$	32.7756	+	18.9230i	1.40138	+	0.809088i	0.406847	+	0.913496i	$0.366628\pi$
$548$	−14.4730	−	5.69471i	−0.618258	−	0.243266i
$549$	23.0602	−	10.5491i	0.984187	−	0.450225i
$550$	8.93561	+	13.1183i	0.381016	+	0.559367i
$551$	−1.44114			−0.0613947
$552$	−20.7708	−	1.79023i	−0.884065	−	0.0761974i
$553$	−11.3310	−	5.07532i	−0.481845	−	0.215824i
$554$	16.1435	−	1.20277i	0.685872	−	0.0511007i
$555$	−13.9134	+	3.03133i	−0.590590	+	0.128673i
$556$	21.8884	+	8.61244i	0.928277	+	0.365249i
$557$	−16.9121	−	9.76419i	−0.716588	−	0.413722i	0.0969077	−	0.995293i	$-0.469105\pi$
$557$	−16.9121	−	9.76419i	−0.716588	−	0.413722i	−0.813496	+	0.581571i	$0.802438\pi$
$558$	−25.7036	−	0.519091i	−1.08812	−	0.0219749i
$559$			8.02150i			0.339273i
$560$	−17.5686	−	41.5593i	−0.742410	−	1.75620i
$561$	−4.93663	+	1.07555i	−0.208425	+	0.0454099i
$562$	8.76295	−	5.96893i	0.369643	−	0.251784i
$563$	2.71296			0.114337			0.0571687	−	0.998365i	$-0.481793\pi$
$563$	2.71296			0.114337			0.0571687	+	0.998365i	$0.481793\pi$
$564$	11.7075	−	14.3614i	0.492974	−	0.604725i
$565$	0.643252			0.0270618
$566$	−38.1376	−	18.3864i	−1.60304	−	0.772840i
$567$	−10.0769	−	21.5745i	−0.423188	−	0.906042i
$568$	38.4890	−	8.73234i	1.61496	−	0.366401i
$569$			11.0557i			0.463478i	0.972778	+	0.231739i	$0.0744415\pi$
$569$			11.0557i			0.463478i	−0.972778	+	0.231739i	$0.925559\pi$
$570$	3.36822	+	0.805406i	0.141079	+	0.0337347i
$571$		−	11.8022i		−	0.493905i	−0.969028	−	0.246952i	$-0.920571\pi$
$571$		−	11.8022i		−	0.493905i	0.969028	−	0.246952i	$-0.0794291\pi$
$572$	5.73957	−	0.860023i	0.239983	−	0.0359594i
$573$	0.162494	+	0.745823i	0.00678828	+	0.0311572i
$574$	13.1493	+	4.75150i	0.548842	+	0.198324i
$575$	−56.0757			−2.33852
$576$	−15.3795	+	18.4248i	−0.640810	+	0.767699i
$577$	−9.48646	+	16.4310i	−0.394926	+	0.684033i	−0.993092	−	0.117340i	$-0.962563\pi$
$577$	−9.48646	+	16.4310i	−0.394926	+	0.684033i	0.598165	+	0.801373i	$0.295897\pi$
$578$	7.43370	−	0.553846i	0.309201	−	0.0230369i
$579$	0.651165	+	2.98875i	0.0270615	+	0.124208i
$580$	13.5680	−	34.4830i	0.563382	−	1.43183i
$581$	−3.58877	−	4.96284i	−0.148887	−	0.205893i
$582$	−12.4455	+	13.1387i	−0.515884	+	0.544617i
$583$			3.25653i			0.134872i
$584$	−7.35192	+	23.7250i	−0.304225	+	0.981748i
$585$	−18.1274	−	39.6263i	−0.749474	−	1.63834i
$586$	−3.25529	−	43.6923i	−0.134475	−	1.80491i
$587$	8.48640	−	14.6989i	0.350271	−	0.606688i	−0.636025	−	0.771668i	$-0.719423\pi$
$587$	8.48640	−	14.6989i	0.350271	−	0.606688i	0.986297	+	0.164980i	$0.0527560\pi$
$588$	−24.2246	+	1.08160i	−0.999005	+	0.0446046i
$589$	−1.00474	−	1.74026i	−0.0413995	−	0.0717061i
$590$	−12.0849	+	8.23171i	−0.497529	+	0.338894i
$591$	−34.2088	+	7.45314i	−1.40716	+	0.306581i
$592$	7.37454	−	2.26078i	0.303092	−	0.0929175i
$593$	26.9119	−	15.5376i	1.10514	−	0.638051i	0.167572	−	0.985860i	$-0.446407\pi$
$593$	26.9119	−	15.5376i	1.10514	−	0.638051i	0.937566	+	0.347808i	$0.113074\pi$
$594$	−4.11734	−	4.71412i	−0.168936	−	0.193423i
$595$	38.4288	−	3.95211i	1.57543	−	0.162021i
$596$	1.11206	+	7.42159i	0.0455517	+	0.304000i
$597$	7.21196	−	22.5859i	0.295166	−	0.924379i
$598$	−8.90418	+	18.4693i	−0.364119	+	0.755265i
$599$	−33.9428			−1.38686			−0.693432	−	0.720522i	$-0.743902\pi$
$599$	−33.9428			−1.38686			−0.693432	+	0.720522i	$0.743902\pi$
$600$	−36.9586	+	52.9275i	−1.50883	+	2.16076i
$601$	−15.1894	+	26.3088i	−0.619587	+	1.07316i	0.369974	+	0.929042i	$0.379367\pi$
$601$	−15.1894	+	26.3088i	−0.619587	+	1.07316i	−0.989561	+	0.144115i	$0.953967\pi$
$602$	−1.54987	−	8.67224i	−0.0631681	−	0.353454i
$603$	−13.6656	−	29.8728i	−0.556505	−	1.21651i
$604$	6.48462	+	2.55150i	0.263856	+	0.103819i
$605$	−37.9363	+	21.9025i	−1.54233	+	0.890464i
$606$	−15.3766	+	4.56995i	−0.624633	+	0.185642i
$607$	−7.63211	−	4.40640i	−0.309778	−	0.178850i	0.337049	−	0.941487i	$-0.390571\pi$
$607$	−7.63211	−	4.40640i	−0.309778	−	0.178850i	−0.646827	+	0.762637i	$0.723904\pi$
$608$	−1.85435	−	0.283600i	−0.0752037	−	0.0115015i
$609$	−14.8375	−	13.2836i	−0.601247	−	0.538279i
$610$	−42.1226	+	28.6920i	−1.70549	+	1.16170i
$611$	−9.11144	−	15.7815i	−0.368609	−	0.638450i
$612$	−11.2228	−	17.2132i	−0.453656	−	0.695801i
$613$	6.62528	−	11.4753i	0.267593	−	0.463484i	−0.700647	−	0.713508i	$-0.747105\pi$
$613$	6.62528	−	11.4753i	0.267593	−	0.463484i	0.968240	+	0.250024i	$0.0804385\pi$
$614$	−25.3141	−	12.2041i	−1.02159	−	0.492518i
$615$	−5.87411	−	26.9613i	−0.236867	−	1.08719i
$616$	−6.03902	+	2.03876i	−0.243319	+	0.0821441i
$617$	5.95374	−	3.43739i	0.239689	−	0.138384i	−0.375345	−	0.926885i	$-0.622476\pi$
$617$	5.95374	−	3.43739i	0.239689	−	0.138384i	0.615034	+	0.788501i	$0.289142\pi$
$618$	−14.4142	−	13.6537i	−0.579823	−	0.549232i
$619$	3.91195	−	2.25857i	0.157235	−	0.0907794i	−0.419318	−	0.907839i	$-0.637731\pi$
$619$	3.91195	−	2.25857i	0.157235	−	0.0907794i	0.576553	+	0.817060i	$0.304398\pi$
$620$	51.0996	−	7.65682i	2.05221	−	0.307505i
$621$	21.9535	−	2.64625i	0.880965	−	0.106190i
$622$	−18.4279	+	38.2236i	−0.738891	+	1.53263i
$623$	2.40628	+	23.3978i	0.0964057	+	0.937412i
$624$	11.5638	+	20.5771i	0.462921	+	0.823744i
$625$	−41.3752	+	71.6639i	−1.65501	+	2.86656i
$626$	17.1746	−	35.6240i	0.686435	−	1.42382i
$627$	0.148813	−	0.466041i	0.00594301	−	0.0186119i
$628$	3.62382	+	4.55220i	0.144606	+	0.181652i
$629$			6.60406i			0.263321i
$630$	27.2543	+	39.3385i	1.08584	+	1.56728i
$631$			9.52372i			0.379133i	0.981868	+	0.189567i	$0.0607083\pi$
$631$			9.52372i			0.379133i	−0.981868	+	0.189567i	$0.939292\pi$
$632$	−2.93673	−	12.9441i	−0.116817	−	0.514887i
$633$	15.3749	+	16.9021i	0.611099	+	0.671800i
$634$	−4.80333	−	2.31572i	−0.190764	−	0.0919690i
$635$	39.7622	−	68.8702i	1.57792	−	2.73303i
$636$	−12.3802	+	4.70601i	−0.490909	+	0.186605i
$637$	−7.47099	+	22.6480i	−0.296011	+	0.897345i
$638$	−4.71535	−	2.27331i	−0.186683	−	0.0900011i
$639$	−38.0672	+	17.4142i	−1.50592	+	0.688894i
$640$	24.2441	−	41.7000i	0.958334	−	1.64834i
$641$	−19.6854	+	11.3654i	−0.777527	+	0.448906i	−0.835553	−	0.549410i	$-0.814853\pi$
$641$	−19.6854	+	11.3654i	−0.777527	+	0.448906i	0.0580260	+	0.998315i	$0.481519\pi$
$642$	2.67685	+	9.00687i	0.105647	+	0.355473i
$643$	28.4760	−	16.4406i	1.12299	−	0.648356i	0.180824	−	0.983515i	$-0.442124\pi$
$643$	28.4760	−	16.4406i	1.12299	−	0.648356i	0.942161	+	0.335160i	$0.108790\pi$
$644$	6.05800	−	21.6880i	0.238719	−	0.854628i
$645$	−12.8616	+	11.6995i	−0.506424	+	0.460666i
$646$	0.697502	−	1.44678i	0.0274428	−	0.0569226i
$647$	19.7354	−	34.1826i	0.775877	−	1.34386i	−0.158424	−	0.987371i	$-0.550641\pi$
$647$	19.7354	−	34.1826i	0.775877	−	1.34386i	0.934300	−	0.356487i	$-0.116025\pi$
$648$	11.9716	−	22.4651i	0.470287	−	0.882513i
$649$	1.03279	+	1.78885i	0.0405407	+	0.0702185i
$650$	35.7417	+	52.4722i	1.40190	+	2.05813i
$651$	5.69622	−	27.1782i	0.223252	−	1.06520i
$652$	−24.5470	−	9.65850i	−0.961335	−	0.378256i
$653$	6.73103	+	3.88616i	0.263406	+	0.152077i	0.625887	−	0.779914i	$-0.284737\pi$
$653$	6.73103	+	3.88616i	0.263406	+	0.152077i	−0.362481	+	0.931991i	$0.618070\pi$
$654$	7.43820	−	7.85249i	0.290857	−	0.307057i
$655$	−65.7237	+	37.9456i	−2.56804	+	1.48266i
$656$	4.38093	+	14.2904i	0.171047	+	0.557945i
$657$	2.48744	−	26.2270i	0.0970442	−	1.02321i
$658$	12.8998	+	15.3013i	0.502887	+	0.596506i
$659$	−5.26420	+	9.11786i	−0.205064	+	0.355181i	−0.950153	−	0.311784i	$-0.899074\pi$
$659$	−5.26420	+	9.11786i	−0.205064	+	0.355181i	0.745089	+	0.666965i	$0.232407\pi$
$660$	9.75019	+	7.94840i	0.379526	+	0.309391i
$661$	−3.66483			−0.142545			−0.0712727	−	0.997457i	$-0.522706\pi$
$661$	−3.66483			−0.142545			−0.0712727	+	0.997457i	$0.522706\pi$
$662$	12.0350	+	5.80217i	0.467754	+	0.225508i
$663$	−19.7461	+	4.30212i	−0.766876	+	0.167081i
$664$	1.93797	−	6.25394i	0.0752080	−	0.242700i
$665$	−1.52910	+	3.41385i	−0.0592961	+	0.132383i
$666$	−7.16627	+	3.94670i	−0.277687	+	0.152932i
$667$	16.0161	−	9.24688i	0.620145	−	0.358041i
$668$	−3.21277	+	8.16524i	−0.124306	+	0.315923i
$669$	13.3135	−	41.6942i	0.514729	−	1.61199i
$670$	37.1683	+	54.5666i	1.43594	+	2.10809i
$671$	3.59984	+	6.23511i	0.138970	+	0.240704i
$672$	−16.4777	−	20.0121i	−0.635641	−	0.771985i
$673$	−1.64613	+	2.85118i	−0.0634537	+	0.109905i	−0.896007	−	0.444040i	$-0.853545\pi$
$673$	−1.64613	+	2.85118i	−0.0634537	+	0.109905i	0.832553	+	0.553945i	$0.186878\pi$
$674$	30.9296	−	2.30440i	1.19136	−	0.0887622i
$675$	26.8929	−	62.9678i	1.03511	−	2.42363i
$676$	−2.75514	+	0.412834i	−0.105967	+	0.0158782i
$677$			28.3503i			1.08959i	0.838570	+	0.544794i	$0.183392\pi$
$677$			28.3503i			1.08959i	−0.838570	+	0.544794i	$0.816608\pi$
$678$	0.354254	−	0.105284i	0.0136050	−	0.00404343i
$679$	−11.4543	−	15.8399i	−0.439575	−	0.607879i
$680$	28.0510	+	30.3106i	1.07571	+	1.16236i
$681$	10.1626	−	9.24438i	0.389433	−	0.354245i
$682$	−0.542317	−	7.27896i	−0.0207664	−	0.278726i
$683$	−6.78662	+	11.7548i	−0.259683	+	0.449784i	−0.966157	−	0.257955i	$-0.916951\pi$
$683$	−6.78662	+	11.7548i	−0.259683	+	0.449784i	0.706474	+	0.707739i	$0.250285\pi$
$684$	1.98678	−	0.107739i	0.0759665	−	0.00411950i
$685$	−33.1550			−1.26679
$686$	3.70115	−	25.9288i	0.141311	−	0.989965i
$687$	11.9867	+	3.82749i	0.457319	+	0.146028i
$688$	6.41774	−	6.89272i	0.244674	−	0.262783i
$689$			13.0258i			0.496245i
$690$	−42.6003	+	12.6609i	−1.62177	+	0.481990i
$691$			3.19917i			0.121702i	0.998147	+	0.0608510i	$0.0193815\pi$
$691$			3.19917i			0.121702i	−0.998147	+	0.0608510i	$0.980619\pi$
$692$	−22.0987	+	17.5919i	−0.840068	+	0.668744i
$693$	5.82782	−	3.42654i	0.221381	−	0.130163i
$694$	14.3568	−	29.7792i	0.544976	−	1.13040i
$695$	50.1423			1.90200
$696$	1.82821	−	21.2114i	0.0692979	−	0.804015i
$697$	−12.7973			−0.484733
$698$	6.94129	+	10.1905i	0.262732	+	0.385715i
$699$	25.9189	+	28.4935i	0.980344	+	1.07772i
$700$	−48.7797	−	49.8232i	−1.84370	−	1.88314i
$701$		−	28.8142i		−	1.08830i	−0.838989	−	0.544148i	$-0.816853\pi$
$701$		−	28.8142i		−	1.08830i	0.838989	−	0.544148i	$-0.183147\pi$
$702$	−16.4690	−	18.8561i	−0.621583	−	0.711678i
$703$	−0.553793	−	0.319732i	−0.0208867	−	0.0120589i
$704$	−5.61998	−	3.85304i	−0.211811	−	0.145217i
$705$	12.0147	−	37.6267i	0.452499	−	1.41710i
$706$	2.17329	+	29.1698i	0.0817929	+	1.09782i
$707$	−1.77257	−	17.2358i	−0.0666642	−	0.648217i
$708$	−5.30812	+	6.51140i	−0.199491	+	0.244713i
$709$	39.1530			1.47042			0.735210	−	0.677839i	$-0.237083\pi$
$709$	39.1530			1.47042			0.735210	+	0.677839i	$0.237083\pi$
$710$	69.5347	−	47.3639i	2.60959	−	1.77754i
$711$	5.85648	+	12.8022i	0.219635	+	0.480120i
$712$	−18.4549	+	17.0792i	−0.691627	+	0.640068i
$713$	22.3322	+	12.8935i	0.836349	+	0.482866i
$714$	20.5168	−	8.46638i	0.767822	−	0.316846i
$715$	10.7143	−	6.18590i	0.400692	−	0.231340i
$716$	−30.9836	+	4.64261i	−1.15791	+	0.173503i
$717$	21.8971	−	19.9186i	0.817764	−	0.743874i
$718$	24.3438	−	1.81373i	0.908501	−	0.0676876i
$719$	8.20350	+	14.2089i	0.305939	+	0.529902i	0.977470	−	0.211075i	$-0.0676964\pi$
$719$	8.20350	+	14.2089i	0.305939	+	0.529902i	−0.671531	+	0.740976i	$0.734363\pi$
$720$	−16.1272	+	48.5532i	−0.601025	+	1.80947i
$721$	17.3776	−	12.5662i	0.647174	−	0.467991i
$722$	−15.0393	−	22.0791i	−0.559704	−	0.821699i
$723$	7.22897	−	6.57580i	0.268848	−	0.244557i
$724$	−9.26677	−	11.6408i	−0.344397	−	0.432627i
$725$		−	57.2651i		−	2.12677i
$726$	−17.3075	+	18.2715i	−0.642341	+	0.678118i
$727$	−2.31752	−	1.33802i	−0.0859522	−	0.0496245i	0.456408	−	0.889771i	$-0.349136\pi$
$727$	−2.31752	−	1.33802i	−0.0859522	−	0.0496245i	−0.542360	+	0.840146i	$0.682469\pi$
$728$	−24.1556	+	8.15488i	−0.895266	+	0.302240i
$729$	−7.55703	+	25.9209i	−0.279890	+	0.960032i
$730$	3.93397	+	52.8016i	0.145603	+	1.95427i
$731$	4.03176	+	6.98322i	0.149120	+	0.258284i
$732$	−18.5017	+	22.6958i	−0.683842	+	0.838860i
$733$	−4.33386	+	7.50646i	−0.160075	+	0.277257i	−0.934895	−	0.354924i	$-0.884507\pi$
$733$	−4.33386	+	7.50646i	−0.160075	+	0.277257i	0.774821	+	0.632181i	$0.217840\pi$
$734$	0.940524	+	12.6237i	0.0347154	+	0.465949i
$735$	−47.2100	+	21.0535i	−1.74137	+	0.776569i
$736$	22.4279	−	8.74637i	0.826703	−	0.322395i
$737$	8.07712	−	4.66332i	0.297524	−	0.171776i
$738$	−7.64791	−	13.8868i	−0.281524	−	0.511179i
$739$	25.9736	+	14.9959i	0.955454	+	0.551632i	0.894771	−	0.446526i	$-0.147339\pi$
$739$	25.9736	+	14.9959i	0.955454	+	0.551632i	0.0606830	+	0.998157i	$0.480672\pi$
$740$	12.8643	−	10.2407i	0.472900	−	0.376456i
$741$	0.595238	−	1.86412i	0.0218666	−	0.0684803i
$742$	−2.51679	−	14.0826i	−0.0923942	−	0.516987i
$743$	−15.8135	−	27.3898i	−0.580141	−	1.00483i	−0.995462	−	0.0951583i	$-0.969664\pi$
$743$	−15.8135	−	27.3898i	−0.580141	−	1.00483i	0.415322	−	0.909675i	$-0.363669\pi$
$744$	26.8885	−	12.5805i	0.985780	−	0.461225i
$745$	7.99873	+	13.8542i	0.293051	+	0.507579i
$746$	21.1207	+	31.0072i	0.773284	+	1.13525i
$747$	−0.655691	+	6.91346i	−0.0239905	+	0.252950i
$748$	4.56439	−	3.63353i	0.166891	−	0.132855i
$749$	−10.0958	+	1.03828i	−0.368894	+	0.0379379i
$750$	−19.8599	+	83.0544i	−0.725181	+	3.03272i
$751$	−32.3064	−	18.6521i	−1.17888	−	0.680626i	−0.223124	−	0.974790i	$-0.571625\pi$
$751$	−32.3064	−	18.6521i	−1.17888	−	0.680626i	−0.955755	+	0.294164i	$0.904959\pi$
$752$	−4.79696	+	20.8505i	−0.174927	+	0.760339i
$753$	1.77193	+	8.13289i	0.0645726	+	0.296379i
$754$	−18.8610	−	9.09305i	−0.686878	−	0.331149i
$755$	14.8550			0.540630
$756$	21.4483	+	17.2037i	0.780068	+	0.625694i
$757$	−22.0140			−0.800112			−0.400056	−	0.916491i	$-0.631009\pi$
$757$	−22.0140			−0.800112			−0.400056	+	0.916491i	$0.631009\pi$
$758$	39.5537	+	19.0691i	1.43665	+	0.692621i
$759$	1.33646	+	6.13416i	0.0485104	+	0.222656i
$760$	−3.89982	+	0.884786i	−0.141461	+	0.0320946i
$761$	−3.58320	−	2.06876i	−0.129891	−	0.0749925i	0.433647	−	0.901083i	$-0.357227\pi$
$761$	−3.58320	−	2.06876i	−0.129891	−	0.0749925i	−0.563537	+	0.826090i	$0.690560\pi$
$762$	10.6256	−	44.4365i	0.384926	−	1.60976i
$763$	6.84578	+	9.46688i	0.247834	+	0.342724i
$764$	−0.548951	−	0.689585i	−0.0198603	−	0.0249483i
$765$	−35.6980	−	25.3860i	−1.29066	−	0.917833i
$766$	−30.3850	−	44.6081i	−1.09786	−	1.61176i
$767$	4.13109	+	7.15525i	0.149165	+	0.258361i
$768$	6.52655	−	26.9333i	0.235506	−	0.971873i
$769$	5.77384	+	10.0006i	0.208210	+	0.360630i	0.951151	−	0.308727i	$-0.0999029\pi$
$769$	5.77384	+	10.0006i	0.208210	+	0.360630i	−0.742941	+	0.669357i	$0.766570\pi$
$770$	−10.3883	+	8.75789i	−0.374368	+	0.315613i
$771$	−2.56561	+	8.03478i	−0.0923980	+	0.289365i
$772$	−2.19982	−	2.76339i	−0.0791733	−	0.0994566i
$773$	4.09042	+	2.36160i	0.147122	+	0.0849410i	0.571754	−	0.820425i	$-0.306263\pi$
$773$	4.09042	+	2.36160i	0.147122	+	0.0849410i	−0.424632	+	0.905366i	$0.639596\pi$
$774$	−5.16825	+	8.54829i	−0.185769	+	0.307262i
$775$	69.1507	−	39.9242i	2.48397	−	1.43412i
$776$	6.18544	−	19.9607i	0.222044	−	0.716547i
$777$	−2.75456	−	8.39640i	−0.0988195	−	0.301219i
$778$	−2.97681	−	39.9546i	−0.106724	−	1.43244i
$779$	0.619577	−	1.07314i	0.0221986	−	0.0384492i
$780$	39.0000	+	31.7930i	1.39642	+	1.13837i
$781$	−5.94252	−	10.2928i	−0.212640	−	0.368304i
$782$	1.53138	+	20.5541i	0.0547620	+	0.735013i
$783$	2.70237	+	22.4192i	0.0965750	+	0.801196i
$784$	24.5396	−	13.4837i	0.876413	−	0.481560i
$785$	10.7417	+	6.20170i	0.383386	+	0.221348i
$786$	−29.9848	+	31.6549i	−1.06952	+	1.12909i
$787$		−	15.6262i		−	0.557013i	−0.960434	−	0.278507i	$-0.910161\pi$
$787$		−	15.6262i		−	0.557013i	0.960434	−	0.278507i	$-0.0898394\pi$
$788$	31.6293	−	25.1788i	1.12675	−	0.896959i
$789$	1.43812	−	1.30818i	0.0511984	−	0.0465724i
$790$	−15.9287	−	23.3849i	−0.566719	−	0.831998i
$791$	0.0408371	+	0.397085i	0.00145200	+	0.0141187i
$792$	6.67062	+	2.78150i	0.237030	+	0.0988364i
$793$	14.3991	+	24.9399i	0.511326	+	0.885643i
$794$	−4.29629	+	0.320094i	−0.152470	+	0.0113597i
$795$	−20.8855	+	18.9984i	−0.740732	+	0.673803i
$796$	4.05695	+	27.0750i	0.143795	+	0.959647i
$797$	−36.4126	+	21.0228i	−1.28980	+	0.744667i	−0.978619	−	0.205683i	$-0.934058\pi$
$797$	−36.4126	+	21.0228i	−1.28980	+	0.744667i	−0.311183	+	0.950350i	$0.600725\pi$
$798$	−0.283351	+	2.13036i	−0.0100305	+	0.0754140i
$799$	−15.8642	−	9.15919i	−0.561234	−	0.324029i
$800$	11.2691	−	73.6841i	0.398424	−	2.60513i
$801$	15.4565	−	21.7351i	0.546129	−	0.767971i
$802$	27.2954	−	18.5924i	0.963832	−	0.656519i
$803$	7.47966			0.263951
$804$	29.4007	+	23.9675i	1.03688	+	0.845270i
$805$	−4.91082	−	47.7509i	−0.173084	−	1.68300i
$806$	−2.16922	−	29.1152i	−0.0764076	−	1.02554i
$807$	6.09504	−	19.0880i	0.214556	−	0.671930i
$808$	13.5946	−	12.5812i	0.478258	−	0.442605i
$809$	−44.7898	−	25.8594i	−1.57473	−	0.909169i	−0.995577	−	0.0939467i	$-0.970052\pi$
$809$	−44.7898	−	25.8594i	−1.57473	−	0.909169i	−0.579149	−	0.815222i	$-0.696615\pi$
$810$	6.21338	−	53.9081i	0.218316	−	1.89414i
$811$		−	30.5623i		−	1.07319i	−0.843841	−	0.536593i	$-0.819711\pi$
$811$		−	30.5623i		−	1.07319i	0.843841	−	0.536593i	$-0.180289\pi$
$812$	22.1480	+	6.18649i	0.777244	+	0.217103i
$813$	1.94875	+	2.14232i	0.0683455	+	0.0751343i
$814$	−1.30763	−	1.91972i	−0.0458324	−	0.0672863i
$815$	−56.2325			−1.96974
$816$	20.4095	+	12.1015i	0.714474	+	0.423637i
$817$	−0.780784			−0.0273162
$818$	7.28070	−	15.1018i	0.254564	−	0.528022i
$819$	23.3108	−	13.7059i	0.814545	−	0.478922i
$820$	19.8444	+	24.9283i	0.692998	+	0.870535i
$821$		−	31.5803i		−	1.10216i	−0.834452	−	0.551080i	$-0.814216\pi$
$821$		−	31.5803i		−	1.10216i	0.834452	−	0.551080i	$-0.185784\pi$
$822$	−18.2592	+	5.42666i	−0.636864	+	0.189276i
$823$			34.5707i			1.20506i	0.798096	+	0.602530i	$0.205840\pi$
$823$			34.5707i			1.20506i	−0.798096	+	0.602530i	$0.794160\pi$
$824$	21.8984	+	6.78589i	0.762867	+	0.236398i
$825$	18.5186	+	5.91321i	0.644733	+	0.205871i
$826$	−5.84872	−	6.93753i	−0.203503	−	0.241388i
$827$	53.2997			1.85341			0.926705	−	0.375788i	$-0.122628\pi$
$827$	53.2997			1.85341			0.926705	+	0.375788i	$0.122628\pi$
$828$	−21.3887	+	13.9453i	−0.743309	+	0.484631i
$829$	19.6791	−	34.0853i	0.683485	−	1.18383i	−0.290426	−	0.956897i	$-0.593797\pi$
$829$	19.6791	−	34.0853i	0.683485	−	1.18383i	0.973910	−	0.226933i	$-0.0728697\pi$
$830$	−1.03700	−	13.9186i	−0.0359947	−	0.483120i
$831$	14.6664	−	13.3412i	0.508771	−	0.462801i
$832$	−22.4795	−	15.4118i	−0.779335	−	0.534310i
$833$	4.87934	+	23.4715i	0.169059	+	0.813241i
$834$	27.6145	−	8.20706i	0.956212	−	0.284187i
$835$			18.7050i			0.647314i
$836$	0.0837116	+	0.558669i	0.00289523	+	0.0193220i
$837$	−25.1883	+	18.8935i	−0.870637	+	0.653056i
$838$	−42.6930	+	3.18083i	−1.47481	+	0.109880i
$839$	−12.4970	+	21.6454i	−0.431444	+	0.747282i	−0.996998	−	0.0774289i	$-0.975329\pi$
$839$	−12.4970	+	21.6454i	−0.431444	+	0.747282i	0.565554	+	0.824711i	$0.308662\pi$
$840$	−48.3067	−	26.8368i	−1.66674	−	0.925957i
$841$	−5.05699	−	8.75896i	−0.174379	−	0.302033i
$842$	26.4159	+	38.7810i	0.910351	+	1.33648i
$843$	3.94998	−	12.3703i	0.136045	−	0.426055i
$844$	−24.5515	−	9.66026i	−0.845096	−	0.332520i
$845$	−5.14314	+	2.96939i	−0.176929	+	0.102150i
$846$	0.458198	−	22.6884i	0.0157532	−	0.780043i
$847$	−15.9290	−	22.0279i	−0.547327	−	0.756887i
$848$	10.4216	−	11.1929i	0.357878	−	0.384365i
$849$	−50.6652	+	11.0385i	−1.73882	+	0.378841i
$850$	57.4890	+	27.7159i	1.97186	+	0.950647i
$851$	8.20607			0.281300
$852$	30.5421	−	37.4656i	1.04635	−	1.28355i
$853$	−15.3129	+	26.5227i	−0.524303	+	0.908120i	0.475297	+	0.879826i	$0.342341\pi$
$853$	−15.3129	+	26.5227i	−0.524303	+	0.908120i	−0.999600	+	0.0282939i	$0.990993\pi$
$854$	−20.3860	−	24.1811i	−0.697594	−	0.827460i
$855$	3.85708	−	1.76445i	0.131909	−	0.0603430i
$856$	−7.36944	−	7.96306i	−0.251882	−	0.272172i
$857$	17.5286	−	10.1202i	0.598767	−	0.345698i	−0.169789	−	0.985480i	$-0.554309\pi$
$857$	17.5286	−	10.1202i	0.598767	−	0.345698i	0.768556	+	0.639782i	$0.220975\pi$
$858$	4.88813	−	5.16039i	0.166878	−	0.176173i
$859$	18.1253	+	10.4646i	0.618426	+	0.357049i	0.776256	−	0.630418i	$-0.217116\pi$
$859$	18.1253	+	10.4646i	0.618426	+	0.357049i	−0.157830	+	0.987466i	$0.550450\pi$
$860$	7.35091	−	18.6823i	0.250664	−	0.637060i
$861$	16.2705	−	5.33779i	0.554498	−	0.181911i
$862$	12.8284	+	18.8332i	0.436936	+	0.641463i
$863$	3.24475	+	5.62008i	0.110453	+	0.191310i	0.915953	−	0.401286i	$-0.131437\pi$
$863$	3.24475	+	5.62008i	0.110453	+	0.191310i	−0.805500	+	0.592596i	$0.798103\pi$
$864$	−0.934644	+	29.3790i	−0.0317972	+	0.999494i
$865$	−30.1063	+	52.1456i	−1.02364	+	1.77301i
$866$	−11.9419	+	24.7701i	−0.405801	+	0.841724i
$867$	6.75351	−	6.14330i	0.229361	−	0.208637i
$868$	7.97070	+	31.0581i	0.270543	+	1.05418i
$869$	−3.46151	+	1.99850i	−0.117424	+	0.0677945i
$870$	−12.9294	−	43.5039i	−0.438348	−	1.47492i
$871$	32.3078	−	18.6529i	1.09471	−	0.632030i
$872$	−3.69679	+	11.9297i	−0.125189	+	0.403991i
$873$	−2.09277	+	22.0657i	−0.0708296	+	0.746811i
$874$	−1.79774	−	0.866702i	−0.0608093	−	0.0293166i
$875$	−84.1795	−	37.7051i	−2.84579	−	1.27466i
$876$	10.8088	+	28.4352i	0.365197	+	0.960735i
$877$	−19.0946	+	33.0728i	−0.644778	+	1.11679i	0.339575	+	0.940579i	$0.389717\pi$
$877$	−19.0946	+	33.0728i	−0.644778	+	1.11679i	−0.984353	+	0.176209i	$0.943617\pi$
$878$	50.5335	+	24.3626i	1.70542	+	0.822198i
$879$	−36.1079	−	39.6945i	−1.21789	−	1.33886i
$880$	−14.1557	−	3.25673i	−0.477190	−	0.109784i
$881$		−	8.90061i		−	0.299869i	−0.988696	−	0.149935i	$-0.952094\pi$
$881$		−	8.90061i		−	0.299869i	0.988696	−	0.149935i	$-0.0479063\pi$
$882$	−22.5537	+	19.3217i	−0.759423	+	0.650597i
$883$		−	4.49083i		−	0.151128i	−0.997141	−	0.0755642i	$-0.975924\pi$
$883$		−	4.49083i		−	0.151128i	0.997141	−	0.0755642i	$-0.0240758\pi$
$884$	18.2572	−	14.5338i	0.614056	−	0.488825i
$885$	−5.44740	+	17.0598i	−0.183112	+	0.573458i
$886$	4.54533	−	9.42804i	0.152703	−	0.316741i
$887$	−4.31989	+	7.48226i	−0.145048	+	0.251230i	−0.929391	−	0.369097i	$-0.879667\pi$
$887$	−4.31989	+	7.48226i	−0.145048	+	0.251230i	0.784343	+	0.620327i	$0.213000\pi$
$888$	5.40850	−	7.74536i	0.181497	−	0.259917i
$889$	45.0385	+	20.1733i	1.51054	+	0.676591i
$890$	−23.2783	+	48.2844i	−0.780290	+	1.61850i
$891$	−7.52903	−	1.44111i	−0.252232	−	0.0482790i
$892$	7.48923	+	49.9811i	0.250758	+	1.67349i
$893$	1.53611	−	0.886875i	0.0514041	−	0.0296781i
$894$	6.67268	+	6.32063i	0.223168	+	0.211394i
$895$	−57.8383	+	33.3930i	−1.93332	+	1.11620i
$896$	27.2809	+	12.3188i	0.911391	+	0.411541i
$897$	5.34573	+	24.5361i	0.178489	+	0.819238i
$898$	−33.5635	−	16.1812i	−1.12003	−	0.539974i
$899$	−13.1670	+	22.8059i	−0.439144	+	0.760620i
$900$	4.28110	+	78.9466i	0.142703	+	2.63155i
$901$	6.54705	+	11.3398i	0.218114	+	0.377784i
$902$	3.72003	−	2.53392i	0.123864	−	0.0843703i
$903$	−8.03870	−	7.19681i	−0.267511	−	0.239495i
$904$	−0.313199	+	0.289851i	−0.0104168	+	0.00964030i
$905$	−27.4684	−	15.8589i	−0.913080	−	0.527167i
$906$	8.18101	−	2.43140i	0.271796	−	0.0807780i
$907$	28.2465	−	16.3081i	0.937909	−	0.541502i	0.0486050	−	0.998818i	$-0.484522\pi$
$907$	28.2465	−	16.3081i	0.937909	−	0.541502i	0.889304	+	0.457316i	$0.151189\pi$
$908$	−5.80835	+	14.7619i	−0.192757	+	0.489890i
$909$	−11.3859	+	16.0109i	−0.377646	+	0.531049i
$910$	−41.5523	+	35.0309i	−1.37745	+	1.16126i
$911$	−6.60698	+	11.4436i	−0.218899	+	0.379144i	−0.954472	−	0.298302i	$-0.903580\pi$
$911$	−6.60698	+	11.4436i	−0.218899	+	0.379144i	0.735573	+	0.677446i	$0.236913\pi$
$912$	−2.00290	+	1.12558i	−0.0663227	+	0.0372716i
$913$	−1.97164			−0.0652519
$914$	−4.84148	+	10.0423i	−0.160142	+	0.332171i
$915$	−18.9872	+	59.4626i	−0.627696	+	1.96577i
$916$	−14.3691	+	2.15308i	−0.474768	+	0.0711397i
$917$	−27.5966	−	38.1628i	−0.911321	−	1.26025i
$918$	−23.8148	−	8.13778i	−0.786004	−	0.268587i
$919$	−30.5731	+	17.6514i	−1.00851	+	0.582265i	−0.910756	−	0.412945i	$-0.864500\pi$
$919$	−30.5731	+	17.6514i	−1.00851	+	0.582265i	−0.0977572	+	0.995210i	$0.531167\pi$
$920$	37.6634	−	34.8557i	1.24172	−	1.14916i
$921$	−33.6293	+	7.32688i	−1.10812	+	0.241429i
$922$	4.68064	−	3.18824i	0.154149	−	0.104999i
$923$	−23.7696	−	41.1702i	−0.782386	−	1.35513i
$924$	−4.28762	+	6.52348i	−0.141052	+	0.214607i
$925$	12.7049	−	22.0055i	0.417733	−	0.723535i
$926$	1.96098	+	26.3202i	0.0644418	+	0.864936i
$927$	−24.2078	−	2.29593i	−0.795087	−	0.0754082i
$928$	8.93188	+	22.9036i	0.293203	+	0.751847i
$929$			16.5478i			0.542916i	0.962450	+	0.271458i	$0.0875059\pi$
$929$			16.5478i			0.542916i	−0.962450	+	0.271458i	$0.912494\pi$
$930$	43.5192	−	45.9431i	1.42705	−	1.50653i
$931$	−2.20447	−	0.727199i	−0.0722486	−	0.0238330i
$932$	−41.3886	−	16.2852i	−1.35573	−	0.533439i
$933$	11.0634	+	50.7794i	0.362199	+	1.66244i
$934$	−51.7698	+	3.85710i	−1.69396	+	0.126208i
$935$	6.21832	−	10.7704i	0.203361	−	0.352231i
$936$	26.6819	+	11.1258i	0.872126	+	0.363658i
$937$	−42.2809			−1.38126			−0.690628	−	0.723211i	$-0.742666\pi$
$937$	−42.2809			−1.38126			−0.690628	+	0.723211i	$0.742666\pi$
$938$	−31.3248	+	26.4085i	−1.02279	+	0.862268i
$939$	−10.3110	−	47.3259i	−0.336486	−	1.54442i
$940$	6.75862	+	45.1052i	0.220442	+	1.47117i
$941$		−	39.2228i		−	1.27863i	−0.768946	−	0.639314i	$-0.779219\pi$
$941$		−	39.2228i		−	1.27863i	0.768946	−	0.639314i	$-0.220781\pi$
$942$	6.93075	+	1.65727i	0.225816	+	0.0539969i
$943$			15.9017i			0.517831i
$944$	2.17492	−	9.45352i	0.0707876	−	0.307686i
$945$	55.9750	+	17.3861i	1.82087	+	0.565569i
$946$	−2.55469	−	1.23164i	−0.0830602	−	0.0400439i
$947$	19.1031			0.620769			0.310384	−	0.950611i	$-0.399542\pi$
$947$	19.1031			0.620769			0.310384	+	0.950611i	$0.399542\pi$
$948$	−12.5999	−	10.2715i	−0.409225	−	0.333602i
$949$	29.9180			0.971180
$950$	−5.10746	+	3.47897i	−0.165708	+	0.112873i
$951$	−6.38114	+	1.39027i	−0.206923	+	0.0450826i
$952$	−16.9302	+	19.2404i	−0.548710	+	0.623586i
$953$		−	26.4380i		−	0.856410i	−0.903682	−	0.428205i	$-0.859146\pi$
$953$		−	26.4380i		−	0.856410i	0.903682	−	0.428205i	$-0.140854\pi$
$954$	−8.39256	+	13.8813i	−0.271719	+	0.449423i
$955$	−1.62719	−	0.939459i	−0.0526546	−	0.0304002i
$956$	−12.5151	+	31.8070i	−0.404767	+	1.02871i
$957$	−6.26427	+	1.36481i	−0.202495	+	0.0441180i
$958$	−15.1427	+	1.12820i	−0.489239	+	0.0364506i
$959$	−2.10486	−	20.4669i	−0.0679695	−	0.660910i
$960$	−8.07544	−	58.5217i	−0.260634	−	1.88878i
$961$	−5.71918			−0.184490
$962$	−5.23041	−	7.67874i	−0.168635	−	0.247572i
$963$	9.37840	+	6.66929i	0.302215	+	0.214915i
$964$	−4.13165	+	10.5006i	−0.133072	+	0.338200i
$965$	−6.52067	−	3.76471i	−0.209908	−	0.121190i
$966$	−10.5202	−	25.4938i	−0.338480	−	0.820248i
$967$	−35.9050	+	20.7298i	−1.15463	+	0.666625i	−0.950011	−	0.312217i	$-0.898928\pi$
$967$	−35.9050	+	20.7298i	−1.15463	+	0.666625i	−0.204617	+	0.978842i	$0.565595\pi$
$968$	8.60184	−	27.7585i	0.276473	−	0.892193i
$969$	−0.418753	−	1.92202i	−0.0134523	−	0.0617441i
$970$	−3.30979	−	44.4239i	−0.106271	−	1.42636i
$971$	−6.51503	−	11.2844i	−0.209077	−	0.362132i	0.742347	−	0.670016i	$-0.233713\pi$
$971$	−6.51503	−	11.2844i	−0.209077	−	0.362132i	−0.951424	+	0.307883i	$0.900379\pi$
$972$	−5.40158	−	30.7054i	−0.173256	−	0.984877i
$973$	3.18330	+	30.9532i	0.102052	+	0.992315i
$974$	−27.2408	+	18.5552i	−0.872850	+	0.594546i
$975$	74.0727	+	23.6523i	2.37223	+	0.757481i
$976$	7.58078	−	32.9507i	0.242655	−	1.05473i
$977$			29.2391i			0.935440i	0.883877	+	0.467720i	$0.154925\pi$
$977$			29.2391i			0.935440i	−0.883877	+	0.467720i	$0.845075\pi$
$978$	−30.9686	+	9.20388i	−0.990265	+	0.294308i
$979$	6.55769	+	3.78608i	0.209585	+	0.121004i
$980$	38.1547	−	45.9013i	1.21881	−	1.46626i
$981$	1.25077	−	13.1878i	0.0399339	−	0.421054i
$982$	−33.0976	+	2.46593i	−1.05619	+	0.0786909i
$983$	21.4720	+	37.1906i	0.684851	+	1.18620i	0.973484	+	0.228757i	$0.0734660\pi$
$983$	21.4720	+	37.1906i	0.684851	+	1.18620i	−0.288633	+	0.957440i	$0.593201\pi$
$984$	15.0089	+	10.4806i	0.478468	+	0.334108i
$985$	43.0903	−	74.6347i	1.37297	−	2.37806i
$986$	−20.9901	+	1.56386i	−0.668460	+	0.0498034i
$987$	23.9900	+	5.02801i	0.763611	+	0.160043i
$988$	0.334840	+	2.23463i	0.0106527	+	0.0710931i
$989$	8.67721	−	5.00979i	0.275919	−	0.159302i
$990$	15.4035	+	0.311078i	0.489556	+	0.00988670i
$991$	27.4338	+	15.8389i	0.871463	+	0.503139i	0.867834	−	0.496854i	$-0.165512\pi$
$991$	27.4338	+	15.8389i	0.871463	+	0.503139i	0.00362864	+	0.999993i	$0.498845\pi$
$992$	−21.4302	+	26.7537i	−0.680409	+	0.849431i
$993$	15.9883	−	3.48340i	0.507373	−	0.110542i
$994$	33.6526	+	39.9175i	1.06740	+	1.26610i
$995$	29.1805	+	50.5420i	0.925082	+	1.60229i
$996$	−2.84922	−	7.49554i	−0.0902811	−	0.237505i
$997$	12.5646	+	21.7625i	0.397924	+	0.689224i	0.993470	−	0.114097i	$-0.0363975\pi$
$997$	12.5646	+	21.7625i	0.397924	+	0.689224i	−0.595546	+	0.803321i	$0.703064\pi$
$998$	−14.8794	+	10.1352i	−0.471000	+	0.320824i
$999$	−3.93548	+	9.21465i	−0.124513	+	0.291539i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.bb.a.11.17	yes	88
3.2	odd	2		756.2.bb.a.683.28		88
4.3	odd	2	inner	252.2.bb.a.11.28	yes	88
7.2	even	3		252.2.o.a.191.43	yes	88
9.4	even	3		756.2.o.a.179.13		88
9.5	odd	6		252.2.o.a.95.32	✓	88
12.11	even	2		756.2.bb.a.683.17		88
21.2	odd	6		756.2.o.a.359.2		88
28.23	odd	6		252.2.o.a.191.32	yes	88
36.23	even	6		252.2.o.a.95.43	yes	88
36.31	odd	6		756.2.o.a.179.2		88
63.23	odd	6	inner	252.2.bb.a.23.28	yes	88
63.58	even	3		756.2.bb.a.611.17		88
84.23	even	6		756.2.o.a.359.13		88
252.23	even	6	inner	252.2.bb.a.23.17	yes	88
252.247	odd	6		756.2.bb.a.611.28		88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.o.a.95.32	✓	88	9.5	odd	6
252.2.o.a.95.43	yes	88	36.23	even	6
252.2.o.a.191.32	yes	88	28.23	odd	6
252.2.o.a.191.43	yes	88	7.2	even	3
252.2.bb.a.11.17	yes	88	1.1	even	1	trivial
252.2.bb.a.11.28	yes	88	4.3	odd	2	inner
252.2.bb.a.23.17	yes	88	252.23	even	6	inner
252.2.bb.a.23.28	yes	88	63.23	odd	6	inner
756.2.o.a.179.2		88	36.31	odd	6
756.2.o.a.179.13		88	9.4	even	3
756.2.o.a.359.2		88	21.2	odd	6
756.2.o.a.359.13		88	84.23	even	6
756.2.bb.a.611.17		88	63.58	even	3
756.2.bb.a.611.28		88	252.247	odd	6
756.2.bb.a.683.17		88	12.11	even	2
756.2.bb.a.683.28		88	3.2	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:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.bb (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.614155 + 1.27390i) q^{2} +(0.368715 + 1.69235i) q^{3} +(-1.24563 - 1.56474i) q^{4} +(-3.69227 - 2.13173i) q^{5} +(-2.38233 - 0.569660i) q^{6} +(1.08153 - 2.41460i) q^{7} +(2.75833 - 0.625806i) q^{8} +(-2.72810 + 1.24799i) q^{9} +O(q^{10})\)	\(q+(-0.614155 + 1.27390i) q^{2} +(0.368715 + 1.69235i) q^{3} +(-1.24563 - 1.56474i) q^{4} +(-3.69227 - 2.13173i) q^{5} +(-2.38233 - 0.569660i) q^{6} +(1.08153 - 2.41460i) q^{7} +(2.75833 - 0.625806i) q^{8} +(-2.72810 + 1.24799i) q^{9} +(4.98323 - 3.39435i) q^{10} +(-0.425873 - 0.737633i) q^{11} +(2.18881 - 2.68498i) q^{12} +(-1.70346 - 2.95047i) q^{13} +(2.41172 + 2.86070i) q^{14} +(2.24624 - 7.03461i) q^{15} +(-0.896829 + 3.89817i) q^{16} +(-2.96593 - 1.71238i) q^{17} +(0.0856637 - 4.24178i) q^{18} +(0.287188 - 0.165808i) q^{19} +(1.26358 + 8.43278i) q^{20} +(4.48513 + 0.940027i) q^{21} +(1.20122 - 0.0894966i) q^{22} +(-2.12777 + 3.68541i) q^{23} +(2.07612 + 4.43731i) q^{24} +(6.58855 + 11.4117i) q^{25} +(4.80478 - 0.357979i) q^{26} +(-3.11793 - 4.15674i) q^{27} +(-5.12541 + 1.31538i) q^{28} +(-3.76358 - 2.17290i) q^{29} +(7.58182 + 7.18182i) q^{30} -6.05964i q^{31} +(-4.41507 - 3.53655i) q^{32} +(1.09131 - 0.992702i) q^{33} +(4.00294 - 2.72662i) q^{34} +(-9.14057 + 6.60981i) q^{35} +(5.35097 + 2.71424i) q^{36} +(-0.964162 - 1.66998i) q^{37} +(0.0348444 + 0.467681i) q^{38} +(4.36514 - 3.97073i) q^{39} +(-11.5185 - 3.56937i) q^{40} +(3.23608 - 1.86835i) q^{41} +(-3.95206 + 5.13626i) q^{42} +(-2.03904 - 1.17724i) q^{43} +(-0.623727 + 1.58520i) q^{44} +(12.7332 + 1.20765i) q^{45} +(-3.38805 - 4.97398i) q^{46} +5.34880 q^{47} +(-6.92774 - 0.0804352i) q^{48} +(-4.66059 - 5.22292i) q^{49} +(-18.5837 + 1.38457i) q^{50} +(1.80436 - 5.65078i) q^{51} +(-2.49486 + 6.34065i) q^{52} +(-3.31113 - 1.91168i) q^{53} +(7.21016 - 1.41904i) q^{54} +3.63138i q^{55} +(1.47214 - 7.33708i) q^{56} +(0.386497 + 0.424887i) q^{57} +(5.07948 - 3.45991i) q^{58} -2.42512 q^{59} +(-13.8053 + 5.24771i) q^{60} -8.45286 q^{61} +(7.71935 + 3.72156i) q^{62} +(0.0628804 + 7.93700i) q^{63} +(7.21673 - 3.45235i) q^{64} +14.5252i q^{65} +(0.594368 + 1.99989i) q^{66} +10.9500i q^{67} +(1.01501 + 6.77391i) q^{68} +(-7.02154 - 2.24207i) q^{69} +(-2.80649 - 15.7036i) q^{70} +13.9538 q^{71} +(-6.74399 + 5.14963i) q^{72} +(-4.39078 + 7.60506i) q^{73} +(2.71953 - 0.202617i) q^{74} +(-16.8833 + 15.3578i) q^{75} +(-0.617177 - 0.242840i) q^{76} +(-2.24168 + 0.230540i) q^{77} +(2.37742 + 7.99938i) q^{78} -4.69272i q^{79} +(11.6212 - 12.4813i) q^{80} +(5.88504 - 6.80928i) q^{81} +(0.392632 + 5.26989i) q^{82} +(1.15741 - 2.00470i) q^{83} +(-4.11589 - 8.18898i) q^{84} +(7.30067 + 12.6451i) q^{85} +(2.75197 - 1.87452i) q^{86} +(2.28962 - 7.17047i) q^{87} +(-1.63631 - 1.76812i) q^{88} +(-7.69912 + 4.44509i) q^{89} +(-9.35861 + 15.4791i) q^{90} +(-8.96655 + 0.922141i) q^{91} +(8.41712 - 1.26123i) q^{92} +(10.2550 - 2.23428i) q^{93} +(-3.28499 + 6.81382i) q^{94} -1.41383 q^{95} +(4.35717 - 8.77582i) q^{96} +(3.69412 - 6.39841i) q^{97} +(9.51579 - 2.72942i) q^{98} +(2.08238 + 1.48085i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 2 q^{4} - 6 q^{5} - 6 q^{6} - 2 q^{9}+O(q^{10}) \) 88 * q - 2 * q^4 - 6 * q^5 - 6 * q^6 - 2 * q^9	\( 88 q - 2 q^{4} - 6 q^{5} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 6 q^{12} - 4 q^{13} - 18 q^{14} - 2 q^{16} + 2 q^{18} - 6 q^{20} - 6 q^{21} - 6 q^{22} - 14 q^{24} + 30 q^{25} + 6 q^{26} - 24 q^{29} - 29 q^{30} + 10 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} - 45 q^{38} - 4 q^{40} - 12 q^{41} - 46 q^{42} + 57 q^{44} - 18 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} - 7 q^{52} + 23 q^{54} - 24 q^{56} - 28 q^{57} + 5 q^{58} - 19 q^{60} - 4 q^{61} - 8 q^{64} + 60 q^{66} - 12 q^{68} - 6 q^{69} - 27 q^{70} - 10 q^{72} - 4 q^{73} + 51 q^{74} - 6 q^{76} - 30 q^{77} + 55 q^{78} - 87 q^{80} - 34 q^{81} - 4 q^{82} - 55 q^{84} - 14 q^{85} + 81 q^{86} + 9 q^{88} - 60 q^{89} + 41 q^{90} + 24 q^{92} + 30 q^{93} - 18 q^{94} - 29 q^{96} - 4 q^{97} + 57 q^{98}+O(q^{100}) \) 88 * q - 2 * q^4 - 6 * q^5 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 6 * q^12 - 4 * q^13 - 18 * q^14 - 2 * q^16 + 2 * q^18 - 6 * q^20 - 6 * q^21 - 6 * q^22 - 14 * q^24 + 30 * q^25 + 6 * q^26 - 24 * q^29 - 29 * q^30 + 10 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 - 45 * q^38 - 4 * q^40 - 12 * q^41 - 46 * q^42 + 57 * q^44 - 18 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 - 7 * q^52 + 23 * q^54 - 24 * q^56 - 28 * q^57 + 5 * q^58 - 19 * q^60 - 4 * q^61 - 8 * q^64 + 60 * q^66 - 12 * q^68 - 6 * q^69 - 27 * q^70 - 10 * q^72 - 4 * q^73 + 51 * q^74 - 6 * q^76 - 30 * q^77 + 55 * q^78 - 87 * q^80 - 34 * q^81 - 4 * q^82 - 55 * q^84 - 14 * q^85 + 81 * q^86 + 9 * q^88 - 60 * q^89 + 41 * q^90 + 24 * q^92 + 30 * q^93 - 18 * q^94 - 29 * q^96 - 4 * q^97 + 57 * q^98

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