LMFDB - Embedded newform 252.2.n.b.31.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(31,252)]

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, 2, 1]))

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

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

chi := DirichletCharacter("252.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.n (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:	$84$
Relative dimension:	$42$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			31.12
Character	$\chi$	$=$	252.31
Dual form			252.2.n.b.187.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.989784 - 1.01011i) q^{2} +(-0.187304 + 1.72189i) q^{3} +(-0.0406542 + 1.99959i) q^{4} +2.71053i q^{5} +(1.92470 - 1.51511i) q^{6} +(-1.53391 - 2.15572i) q^{7} +(2.06005 - 1.93809i) q^{8} +(-2.92983 - 0.645035i) q^{9} +O(q^{10})$	\(q+(-0.989784 - 1.01011i) q^{2} +(-0.187304 + 1.72189i) q^{3} +(-0.0406542 + 1.99959i) q^{4} +2.71053i q^{5} +(1.92470 - 1.51511i) q^{6} +(-1.53391 - 2.15572i) q^{7} +(2.06005 - 1.93809i) q^{8} +(-2.92983 - 0.645035i) q^{9} +(2.73794 - 2.68284i) q^{10} +4.53445i q^{11} +(-3.43546 - 0.444533i) q^{12} +(-1.85139 - 1.06890i) q^{13} +(-0.659278 + 3.68312i) q^{14} +(-4.66725 - 0.507693i) q^{15} +(-3.99669 - 0.162583i) q^{16} +(-5.38138 - 3.10694i) q^{17} +(2.24835 + 3.59791i) q^{18} +(-0.634425 - 1.09886i) q^{19} +(-5.41994 - 0.110195i) q^{20} +(3.99922 - 2.23746i) q^{21} +(4.58030 - 4.48813i) q^{22} +8.25563i q^{23} +(2.95134 + 3.91019i) q^{24} -2.34698 q^{25} +(0.752765 + 2.92809i) q^{26} +(1.65945 - 4.92405i) q^{27} +(4.37291 - 2.97955i) q^{28} +(3.10948 + 5.38578i) q^{29} +(4.10674 + 5.21695i) q^{30} +(1.40184 + 2.42805i) q^{31} +(3.79164 + 4.19803i) q^{32} +(-7.80784 - 0.849320i) q^{33} +(2.18804 + 8.51100i) q^{34} +(5.84314 - 4.15771i) q^{35} +(1.40891 - 5.83223i) q^{36} +(1.47631 + 2.55705i) q^{37} +(-0.482025 + 1.72847i) q^{38} +(2.18730 - 2.98768i) q^{39} +(5.25326 + 5.58382i) q^{40} +(-5.01860 - 2.89749i) q^{41} +(-6.21845 - 1.82507i) q^{42} +(1.36962 - 0.790750i) q^{43} +(-9.06702 - 0.184344i) q^{44} +(1.74839 - 7.94141i) q^{45} +(8.33912 - 8.17130i) q^{46} +(4.28235 - 7.41724i) q^{47} +(1.02855 - 6.85143i) q^{48} +(-2.29424 + 6.61335i) q^{49} +(2.32300 + 2.37071i) q^{50} +(6.35777 - 8.68422i) q^{51} +(2.21262 - 3.65855i) q^{52} +(-1.70345 + 2.95046i) q^{53} +(-6.61634 + 3.19751i) q^{54} -12.2908 q^{55} +(-7.33791 - 1.46802i) q^{56} +(2.01094 - 0.886592i) q^{57} +(2.36253 - 8.47168i) q^{58} +(2.00927 + 3.48016i) q^{59} +(1.20492 - 9.31192i) q^{60} +(3.90547 + 2.25482i) q^{61} +(1.06509 - 3.81926i) q^{62} +(3.10359 + 7.30532i) q^{63} +(0.487582 - 7.98513i) q^{64} +(2.89728 - 5.01824i) q^{65} +(6.87017 + 8.72744i) q^{66} +(-7.04212 + 4.06577i) q^{67} +(6.43137 - 10.6342i) q^{68} +(-14.2153 - 1.54631i) q^{69} +(-9.98320 - 1.78699i) q^{70} +7.04037i q^{71} +(-7.28573 + 4.34949i) q^{72} +(9.12307 + 5.26721i) q^{73} +(1.12167 - 4.02217i) q^{74} +(0.439598 - 4.04125i) q^{75} +(2.22305 - 1.22391i) q^{76} +(9.77499 - 6.95543i) q^{77} +(-5.18285 + 0.747740i) q^{78} +(2.29472 + 1.32486i) q^{79} +(0.440687 - 10.8332i) q^{80} +(8.16786 + 3.77969i) q^{81} +(2.04054 + 7.93724i) q^{82} +(-0.131722 - 0.228149i) q^{83} +(4.31140 + 8.08776i) q^{84} +(8.42146 - 14.5864i) q^{85} +(-2.15437 - 0.600797i) q^{86} +(-9.85615 + 4.34542i) q^{87} +(8.78819 + 9.34117i) q^{88} +(2.21148 - 1.27680i) q^{89} +(-9.75224 + 6.09421i) q^{90} +(0.535616 + 5.63066i) q^{91} +(-16.5079 - 0.335626i) q^{92} +(-4.44342 + 1.95903i) q^{93} +(-11.7309 + 3.01582i) q^{94} +(2.97848 - 1.71963i) q^{95} +(-7.93875 + 5.74249i) q^{96} +(13.4397 - 7.75940i) q^{97} +(8.95103 - 4.22835i) q^{98} +(2.92488 - 13.2852i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9}+O(q^{10}) $ 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9	$ 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9} - 18 q^{10} + 9 q^{12} - 18 q^{13} - 25 q^{14} - 7 q^{16} + 6 q^{17} - 13 q^{18} + 24 q^{20} + 4 q^{21} + 6 q^{22} + 6 q^{24} - 32 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 14 q^{30} + 9 q^{32} - 6 q^{33} + 24 q^{34} - 38 q^{36} + 2 q^{37} - 6 q^{41} + 7 q^{42} - 13 q^{44} - 18 q^{45} + 10 q^{46} - 9 q^{48} + 2 q^{49} - 17 q^{50} - 2 q^{53} - 42 q^{54} - 32 q^{56} + 6 q^{57} + 26 q^{58} + 8 q^{60} - 24 q^{61} - 8 q^{64} + 50 q^{65} + 27 q^{66} + 18 q^{69} - 4 q^{70} - 7 q^{72} + 30 q^{73} + 46 q^{74} + 46 q^{77} + 15 q^{78} + 3 q^{80} - 26 q^{81} - 18 q^{82} + 29 q^{84} - 50 q^{85} + 18 q^{86} - 2 q^{88} - 102 q^{89} + 39 q^{90} + 28 q^{92} - 24 q^{93} + 3 q^{94} - 30 q^{96} - 6 q^{97} + 21 q^{98}+O(q^{100}) $ 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9 - 18 * q^10 + 9 * q^12 - 18 * q^13 - 25 * q^14 - 7 * q^16 + 6 * q^17 - 13 * q^18 + 24 * q^20 + 4 * q^21 + 6 * q^22 + 6 * q^24 - 32 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 14 * q^30 + 9 * q^32 - 6 * q^33 + 24 * q^34 - 38 * q^36 + 2 * q^37 - 6 * q^41 + 7 * q^42 - 13 * q^44 - 18 * q^45 + 10 * q^46 - 9 * q^48 + 2 * q^49 - 17 * q^50 - 2 * q^53 - 42 * q^54 - 32 * q^56 + 6 * q^57 + 26 * q^58 + 8 * q^60 - 24 * q^61 - 8 * q^64 + 50 * q^65 + 27 * q^66 + 18 * q^69 - 4 * q^70 - 7 * q^72 + 30 * q^73 + 46 * q^74 + 46 * q^77 + 15 * q^78 + 3 * q^80 - 26 * q^81 - 18 * q^82 + 29 * q^84 - 50 * q^85 + 18 * q^86 - 2 * q^88 - 102 * q^89 + 39 * q^90 + 28 * q^92 - 24 * q^93 + 3 * q^94 - 30 * q^96 - 6 * q^97 + 21 * q^98

Display 100 coefficients 10 coefficients

Character values

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

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

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 $

$2$	−0.989784	−	1.01011i	−0.699883	−	0.714257i
$2$	−0.989784	−	1.01011i	−0.699883	−	0.714257i
$3$	−0.187304	+	1.72189i	−0.108140	+	0.994136i
$3$	−0.187304	+	1.72189i	−0.108140	+	0.994136i
$4$	−0.0406542	+	1.99959i	−0.0203271	+	0.999793i
$5$			2.71053i			1.21219i	0.795394	+	0.606093i	$0.207264\pi$
$5$			2.71053i			1.21219i	−0.795394	+	0.606093i	$0.792736\pi$
$6$	1.92470	−	1.51511i	0.785754	−	0.618539i
$7$	−1.53391	−	2.15572i	−0.579763	−	0.814785i
$7$	−1.53391	−	2.15572i	−0.579763	−	0.814785i
$8$	2.06005	−	1.93809i	0.728336	−	0.685220i
$9$	−2.92983	−	0.645035i	−0.976611	−	0.215012i
$10$	2.73794	−	2.68284i	0.865813	−	0.848389i
$11$			4.53445i			1.36719i	0.729863	+	0.683594i	$0.239584\pi$
$11$			4.53445i			1.36719i	−0.729863	+	0.683594i	$0.760416\pi$
$12$	−3.43546	−	0.444533i	−0.991732	−	0.128326i
$13$	−1.85139	−	1.06890i	−0.513482	−	0.296459i	0.220782	−	0.975323i	$-0.429139\pi$
$13$	−1.85139	−	1.06890i	−0.513482	−	0.296459i	−0.734264	+	0.678864i	$0.762472\pi$
$14$	−0.659278	+	3.68312i	−0.176199	+	0.984355i
$15$	−4.66725	−	0.507693i	−1.20508	−	0.131086i
$16$	−3.99669	−	0.162583i	−0.999174	−	0.0406458i
$17$	−5.38138	−	3.10694i	−1.30518	−	0.753544i	−0.323889	−	0.946095i	$-0.604990\pi$
$17$	−5.38138	−	3.10694i	−1.30518	−	0.753544i	−0.981287	+	0.192551i	$0.938324\pi$
$18$	2.24835	+	3.59791i	0.529940	+	0.848035i
$19$	−0.634425	−	1.09886i	−0.145547	−	0.252095i	0.784030	−	0.620723i	$-0.213161\pi$
$19$	−0.634425	−	1.09886i	−0.145547	−	0.252095i	−0.929577	+	0.368628i	$0.879828\pi$
$20$	−5.41994	−	0.110195i	−1.21194	−	0.0246402i
$21$	3.99922	−	2.23746i	0.872702	−	0.488253i
$22$	4.58030	−	4.48813i	0.976524	−	0.956872i
$23$			8.25563i			1.72142i	0.509097	+	0.860709i	$0.329980\pi$
$23$			8.25563i			1.72142i	−0.509097	+	0.860709i	$0.670020\pi$
$24$	2.95134	+	3.91019i	0.602439	+	0.798165i
$25$	−2.34698			−0.469396
$26$	0.752765	+	2.92809i	0.147629	+	0.574245i
$27$	1.65945	−	4.92405i	0.319361	−	0.947633i
$28$	4.37291	−	2.97955i	0.826401	−	0.563081i
$29$	3.10948	+	5.38578i	0.577416	+	1.00011i	0.995775	+	0.0918317i	$0.0292722\pi$
$29$	3.10948	+	5.38578i	0.577416	+	1.00011i	−0.418359	+	0.908282i	$0.637394\pi$
$30$	4.10674	+	5.21695i	0.749785	+	0.952480i
$31$	1.40184	+	2.42805i	0.251778	+	0.436092i	0.964015	−	0.265847i	$-0.0856515\pi$
$31$	1.40184	+	2.42805i	0.251778	+	0.436092i	−0.712238	+	0.701938i	$0.752318\pi$
$32$	3.79164	+	4.19803i	0.670273	+	0.742114i
$33$	−7.80784	−	0.849320i	−1.35917	−	0.147848i
$34$	2.18804	+	8.51100i	0.375247	+	1.45962i
$35$	5.84314	−	4.15771i	0.987671	−	0.702781i
$36$	1.40891	−	5.83223i	0.234819	−	0.972039i
$37$	1.47631	+	2.55705i	0.242704	+	0.420376i	0.961484	−	0.274862i	$-0.0886322\pi$
$37$	1.47631	+	2.55705i	0.242704	+	0.420376i	−0.718779	+	0.695238i	$0.755299\pi$
$38$	−0.482025	+	1.72847i	−0.0781947	+	0.280395i
$39$	2.18730	−	2.98768i	0.350248	−	0.478412i
$40$	5.25326	+	5.58382i	0.830614	+	0.882879i
$41$	−5.01860	−	2.89749i	−0.783773	−	0.452512i	0.0539925	−	0.998541i	$-0.482805\pi$
$41$	−5.01860	−	2.89749i	−0.783773	−	0.452512i	−0.837766	+	0.546030i	$0.816139\pi$
$42$	−6.21845	−	1.82507i	−0.959528	−	0.281614i
$43$	1.36962	−	0.790750i	0.208865	−	0.120588i	−0.391919	−	0.920000i	$-0.628189\pi$
$43$	1.36962	−	0.790750i	0.208865	−	0.120588i	0.600784	+	0.799412i	$0.294855\pi$
$44$	−9.06702	−	0.184344i	−1.36691	−	0.0277910i
$45$	1.74839	−	7.94141i	0.260634	−	1.18384i
$46$	8.33912	−	8.17130i	1.22954	−	1.20479i
$47$	4.28235	−	7.41724i	0.624645	−	1.08192i	−0.363965	−	0.931413i	$-0.618577\pi$
$47$	4.28235	−	7.41724i	0.624645	−	1.08192i	0.988609	−	0.150504i	$-0.0480895\pi$
$48$	1.02855	−	6.85143i	0.148458	−	0.988919i
$49$	−2.29424	+	6.61335i	−0.327749	+	0.944765i
$50$	2.32300	+	2.37071i	0.328522	+	0.335269i
$51$	6.35777	−	8.68422i	0.890266	−	1.21603i
$52$	2.21262	−	3.65855i	0.306835	−	0.507350i
$53$	−1.70345	+	2.95046i	−0.233987	+	0.405278i	−0.958978	−	0.283481i	$-0.908511\pi$
$53$	−1.70345	+	2.95046i	−0.233987	+	0.405278i	0.724991	+	0.688759i	$0.241844\pi$
$54$	−6.61634	+	3.19751i	−0.900370	+	0.435126i
$55$	−12.2908			−1.65729
$56$	−7.33791	−	1.46802i	−0.980569	−	0.196172i
$57$	2.01094	−	0.886592i	0.266356	−	0.117432i
$58$	2.36253	−	8.47168i	0.310215	−	1.11239i
$59$	2.00927	+	3.48016i	0.261584	+	0.453078i	0.966663	−	0.256051i	$-0.0824217\pi$
$59$	2.00927	+	3.48016i	0.261584	+	0.453078i	−0.705079	+	0.709129i	$0.749088\pi$
$60$	1.20492	−	9.31192i	0.155554	−	1.20216i
$61$	3.90547	+	2.25482i	0.500044	+	0.288701i	0.728732	−	0.684799i	$-0.240110\pi$
$61$	3.90547	+	2.25482i	0.500044	+	0.288701i	−0.228688	+	0.973500i	$0.573443\pi$
$62$	1.06509	−	3.81926i	0.135267	−	0.485047i
$63$	3.10359	+	7.30532i	0.391015	+	0.920384i
$64$	0.487582	−	7.98513i	0.0609477	−	0.998141i
$65$	2.89728	−	5.01824i	0.359364	−	0.622436i
$66$	6.87017	+	8.72744i	0.845659	+	1.07427i
$67$	−7.04212	+	4.06577i	−0.860332	+	0.496713i	−0.864123	−	0.503280i	$-0.832126\pi$
$67$	−7.04212	+	4.06577i	−0.860332	+	0.496713i	0.00379174	+	0.999993i	$0.498793\pi$
$68$	6.43137	−	10.6342i	0.779919	−	1.28959i
$69$	−14.2153	−	1.54631i	−1.71132	−	0.186154i
$70$	−9.98320	−	1.78699i	−1.19322	−	0.213586i
$71$			7.04037i			0.835539i	0.908553	+	0.417769i	$0.137188\pi$
$71$			7.04037i			0.835539i	−0.908553	+	0.417769i	$0.862812\pi$
$72$	−7.28573	+	4.34949i	−0.858632	+	0.512593i
$73$	9.12307	+	5.26721i	1.06777	+	0.616480i	0.927573	−	0.373643i	$-0.121891\pi$
$73$	9.12307	+	5.26721i	1.06777	+	0.616480i	0.140202	+	0.990123i	$0.455225\pi$
$74$	1.12167	−	4.02217i	0.130392	−	0.467567i
$75$	0.439598	−	4.04125i	0.0507604	−	0.466643i
$76$	2.22305	−	1.22391i	0.255001	−	0.140393i
$77$	9.77499	−	6.95543i	1.11396	−	0.792645i
$78$	−5.18285	+	0.747740i	−0.586842	+	0.0846648i
$79$	2.29472	+	1.32486i	0.258177	+	0.149058i	0.623502	−	0.781821i	$-0.285709\pi$
$79$	2.29472	+	1.32486i	0.258177	+	0.149058i	−0.365326	+	0.930880i	$0.619042\pi$
$80$	0.440687	−	10.8332i	0.0492703	−	1.21118i
$81$	8.16786	+	3.77969i	0.907540	+	0.419966i
$82$	2.04054	+	7.93724i	0.225340	+	0.876521i
$83$	−0.131722	−	0.228149i	−0.0144584	−	0.0250426i	0.858706	−	0.512469i	$-0.171269\pi$
$83$	−0.131722	−	0.228149i	−0.0144584	−	0.0250426i	−0.873164	+	0.487426i	$0.837936\pi$
$84$	4.31140	+	8.08776i	0.470412	+	0.882447i
$85$	8.42146	−	14.5864i	0.913435	−	1.58212i
$86$	−2.15437	−	0.600797i	−0.232312	−	0.0647856i
$87$	−9.85615	+	4.34542i	−1.05669	+	0.465877i
$88$	8.78819	+	9.34117i	0.936824	+	0.995772i
$89$	2.21148	−	1.27680i	0.234416	−	0.135340i	−0.378191	−	0.925727i	$-0.623454\pi$
$89$	2.21148	−	1.27680i	0.234416	−	0.135340i	0.612608	+	0.790387i	$0.290121\pi$
$90$	−9.75224	+	6.09421i	−1.02798	+	0.642386i
$91$	0.535616	+	5.63066i	0.0561479	+	0.590254i
$92$	−16.5079	−	0.335626i	−1.72106	−	0.0349915i
$93$	−4.44342	+	1.95903i	−0.460761	+	0.203142i
$94$	−11.7309	+	3.01582i	−1.20995	+	0.311058i
$95$	2.97848	−	1.71963i	0.305586	−	0.176430i
$96$	−7.93875	+	5.74249i	−0.810246	+	0.586090i
$97$	13.4397	−	7.75940i	1.36459	−	0.787848i	0.374361	−	0.927283i	$-0.377862\pi$
$97$	13.4397	−	7.75940i	1.36459	−	0.787848i	0.990231	+	0.139436i	$0.0445288\pi$
$98$	8.95103	−	4.22835i	0.904191	−	0.427128i
$99$	2.92488	−	13.2852i	0.293961	−	1.33521i
$100$	0.0954146	−	4.69299i	0.00954146	−	0.469299i
$101$			0.841542i			0.0837366i	0.999123	+	0.0418683i	$0.0133310\pi$
$101$			0.841542i			0.0837366i	−0.999123	+	0.0418683i	$0.986669\pi$
$102$	−15.0649	+	2.17344i	−1.49164	+	0.215202i
$103$	5.21239			0.513592			0.256796	−	0.966466i	$-0.417333\pi$
$103$	5.21239			0.513592			0.256796	+	0.966466i	$0.417333\pi$
$104$	−5.88557	+	1.38618i	−0.577127	+	0.135926i
$105$	6.06469	+	10.8400i	0.591853	+	1.05788i
$106$	4.66635	−	1.19965i	0.453236	−	0.116520i
$107$	11.1755	−	6.45219i	1.08038	−	0.623757i	0.149380	−	0.988780i	$-0.452272\pi$
$107$	11.1755	−	6.45219i	1.08038	−	0.623757i	0.930998	+	0.365023i	$0.118939\pi$
$108$	9.77859	+	3.51840i	0.940945	+	0.338558i
$109$	−6.22438	+	10.7809i	−0.596188	+	1.03263i	0.397190	+	0.917736i	$0.369985\pi$
$109$	−6.22438	+	10.7809i	−0.596188	+	1.03263i	−0.993378	+	0.114891i	$0.963348\pi$
$110$	12.1652	+	12.4151i	1.15991	+	1.18373i
$111$	−4.67948	+	2.06311i	−0.444157	+	0.195821i
$112$	5.78009	+	8.86513i	0.546167	+	0.837676i
$113$	−0.428504	+	0.742191i	−0.0403103	+	0.0698194i	−0.885477	−	0.464684i	$-0.846168\pi$
$113$	−0.428504	+	0.742191i	−0.0403103	+	0.0698194i	0.845166	+	0.534503i	$0.179501\pi$
$114$	−2.88596	−	1.15374i	−0.270295	−	0.108058i
$115$	−22.3772			−2.08668
$116$	−10.8957	+	5.99872i	−1.01164	+	0.556967i
$117$	4.73478	+	4.32590i	0.437730	+	0.399930i
$118$	1.52661	−	5.47419i	0.140535	−	0.503940i
$119$	1.55686	+	16.3665i	0.142717	+	1.50031i
$120$	−10.5987	+	7.99969i	−0.967524	+	0.730268i
$121$	−9.56122			−0.869202
$122$	−1.58795	−	6.17675i	−0.143766	−	0.559217i
$123$	5.92917	−	8.09878i	0.534615	−	0.730242i
$124$	−4.91210	+	2.70439i	−0.441119	+	0.242861i
$125$			7.19110i			0.643191i
$126$	4.30731	−	10.3657i	0.383726	−	0.923447i
$127$		−	1.79431i		−	0.159220i	−0.996826	−	0.0796098i	$-0.974633\pi$
$127$		−	1.79431i		−	0.159220i	0.996826	−	0.0796098i	$-0.0253674\pi$
$128$	−8.54848	+	7.41104i	−0.755586	+	0.655050i
$129$	1.10505	+	2.50645i	0.0972944	+	0.220680i
$130$	−7.93667	+	2.04039i	−0.696092	+	0.178954i
$131$	−8.59611			−0.751046			−0.375523	−	0.926813i	$-0.622537\pi$
$131$	−8.59611			−0.751046			−0.375523	+	0.926813i	$0.622537\pi$
$132$	2.01571	−	15.5779i	0.175445	−	1.35588i
$133$	−1.39567	+	3.05319i	−0.121020	+	0.264745i
$134$	11.0771	+	3.08910i	0.956912	+	0.266857i
$135$	13.3468	+	4.49799i	1.14871	+	0.387126i
$136$	−17.1074	+	4.02918i	−1.46695	+	0.345499i
$137$	−10.2240			−0.873496			−0.436748	−	0.899584i	$-0.643870\pi$
$137$	−10.2240			−0.873496			−0.436748	+	0.899584i	$0.643870\pi$
$138$	12.5082	+	15.8896i	1.06476	+	1.35261i
$139$	0.0394811	−	0.0683833i	0.00334875	−	0.00580020i	−0.864346	−	0.502897i	$-0.832267\pi$
$139$	0.0394811	−	0.0683833i	0.00334875	−	0.00580020i	0.867695	+	0.497097i	$0.165601\pi$
$140$	8.07615	+	11.8529i	0.682560	+	1.00175i
$141$	11.9696	+	8.76303i	1.00802	+	0.737980i
$142$	7.11157	−	6.96845i	0.596790	−	0.584780i
$143$	4.84686	−	8.39501i	0.405315	−	0.702026i
$144$	11.6048	+	3.05435i	0.967065	+	0.254529i
$145$	−14.5983	+	8.42834i	−1.21232	+	0.699936i
$146$	−3.70940	−	14.4287i	−0.306992	−	1.19413i
$147$	−10.9578	−	5.18914i	−0.903782	−	0.427993i
$148$	−5.17306	+	2.84806i	−0.425223	+	0.234109i
$149$	17.7719			1.45593			0.727966	−	0.685614i	$-0.240466\pi$
$149$	17.7719			1.45593			0.727966	+	0.685614i	$0.240466\pi$
$150$	−4.51722	+	3.55592i	−0.368829	+	0.290339i
$151$			4.51891i			0.367743i	0.982950	+	0.183872i	$0.0588631\pi$
$151$			4.51891i			0.367743i	−0.982950	+	0.183872i	$0.941137\pi$
$152$	−3.43663	−	1.03412i	−0.278748	−	0.0838782i
$153$	13.7625	+	12.5740i	1.11263	+	1.01655i
$154$	−16.7009	−	2.98946i	−1.34580	−	0.240898i
$155$	−6.58132	+	3.79973i	−0.528624	+	0.305201i
$156$	5.88520	+	4.49516i	0.471193	+	0.359901i
$157$	−8.70551	+	5.02613i	−0.694775	+	0.401129i	−0.805398	−	0.592734i	$-0.798049\pi$
$157$	−8.70551	+	5.02613i	−0.694775	+	0.401129i	0.110623	+	0.993862i	$0.464715\pi$
$158$	−0.933024	−	3.62925i	−0.0742274	−	0.288728i
$159$	−4.76132	−	3.48580i	−0.377597	−	0.276442i
$160$	−11.3789	+	10.2774i	−0.899581	+	0.812496i
$161$	17.7968	−	12.6634i	1.40259	−	0.998016i
$162$	−4.26651	−	11.9915i	−0.335208	−	0.942144i
$163$	13.5307	−	7.81195i	1.05981	−	0.611879i	0.134427	−	0.990923i	$-0.457081\pi$
$163$	13.5307	−	7.81195i	1.05981	−	0.611879i	0.925379	+	0.379044i	$0.123747\pi$
$164$	5.99781	−	9.91733i	0.468350	−	0.774413i
$165$	2.30211	−	21.1634i	0.179219	−	1.64757i
$166$	−0.100080	+	0.358872i	−0.00776771	+	0.0278539i
$167$	−6.38841	+	11.0650i	−0.494350	+	0.856239i	−0.999979	−	0.00651214i	$-0.997927\pi$
$167$	−6.38841	+	11.0650i	−0.494350	+	0.856239i	0.505629	+	0.862751i	$0.331260\pi$
$168$	3.90219	−	12.3601i	0.301060	−	0.953605i
$169$	−4.21491	−	7.30044i	−0.324224	−	0.561573i
$170$	−23.0693	+	5.93076i	−1.76934	+	0.454869i
$171$	1.14996	+	3.62869i	0.0879396	+	0.277493i
$172$	1.52549	+	2.77082i	0.116318	+	0.211273i
$173$	3.23444	+	1.86741i	0.245910	+	0.141976i	0.617890	−	0.786264i	$-0.287988\pi$
$173$	3.23444	+	1.86741i	0.245910	+	0.141976i	−0.371980	+	0.928241i	$0.621321\pi$
$174$	14.1448	+	5.65480i	1.07232	+	0.428689i
$175$	3.60005	+	5.05942i	0.272138	+	0.382456i
$176$	0.737225	−	18.1228i	0.0555705	−	1.36606i
$177$	−6.36880	+	2.80790i	−0.478708	+	0.211055i
$178$	−3.47860	−	0.970088i	−0.260732	−	0.0727112i
$179$	−19.9897	−	11.5410i	−1.49410	−	0.862618i	−0.494121	−	0.869393i	$-0.664510\pi$
$179$	−19.9897	−	11.5410i	−1.49410	−	0.862618i	−0.999977	+	0.00677562i	$0.997843\pi$
$180$	15.8085	+	3.81890i	1.17829	+	0.284644i
$181$		−	4.48155i		−	0.333111i	−0.986032	−	0.166555i	$-0.946736\pi$
$181$		−	4.48155i		−	0.333111i	0.986032	−	0.166555i	$-0.0532644\pi$
$182$	5.15745	−	6.11417i	0.382296	−	0.453213i
$183$	−4.61408	+	6.30247i	−0.341082	+	0.465892i
$184$	16.0002	+	17.0070i	1.17955	+	1.25377i
$185$	−6.93096	+	4.00159i	−0.509574	+	0.294203i
$186$	6.37687	+	2.54934i	0.467575	+	0.186926i
$187$	14.0883	−	24.4016i	1.03024	−	1.78442i
$188$	14.6573	+	8.86447i	1.06900	+	0.646508i
$189$	−13.1603	+	3.97573i	−0.957271	+	0.289192i
$190$	−4.68508	−	1.30654i	−0.339891	−	0.0947866i
$191$	−10.6792	−	6.16566i	−0.772722	−	0.446131i	0.0611228	−	0.998130i	$-0.480532\pi$
$191$	−10.6792	−	6.16566i	−0.772722	−	0.446131i	−0.833845	+	0.551999i	$0.813865\pi$
$192$	13.6582	+	2.33521i	0.985697	+	0.168529i
$193$	−6.42663	−	11.1313i	−0.462599	−	0.801245i	0.536491	−	0.843906i	$-0.319750\pi$
$193$	−6.42663	−	11.1313i	−0.462599	−	0.801245i	−0.999090	+	0.0426612i	$0.986416\pi$
$194$	−21.1402	−	5.89545i	−1.51778	−	0.423269i
$195$	8.09820	+	5.92875i	0.579924	+	0.424566i
$196$	−13.1307	−	4.85639i	−0.937908	−	0.346885i
$197$	−10.1752			−0.724956			−0.362478	−	0.931992i	$-0.618069\pi$
$197$	−10.1752			−0.724956			−0.362478	+	0.931992i	$0.618069\pi$
$198$	−16.3145	+	10.1950i	−1.15942	+	0.724528i
$199$	−4.82735	+	8.36121i	−0.342202	+	0.592711i	−0.984841	−	0.173458i	$-0.944506\pi$
$199$	−4.82735	+	8.36121i	−0.342202	+	0.592711i	0.642640	+	0.766169i	$0.277839\pi$
$200$	−4.83488	+	4.54866i	−0.341878	+	0.321639i
$201$	−5.68180	−	12.8873i	−0.400764	−	0.909001i
$202$	0.850052	−	0.832945i	0.0598094	−	0.0586058i
$203$	6.84055	−	14.9645i	0.480113	−	1.05030i
$204$	17.1064	+	13.0660i	1.19769	+	0.914801i
$205$	7.85373	−	13.6031i	0.548529	−	0.950079i
$206$	−5.15914	−	5.26510i	−0.359454	−	0.366837i
$207$	5.32517	−	24.1876i	0.370125	−	1.68116i
$208$	7.22564	+	4.57306i	0.501008	+	0.317085i
$209$	4.98271	−	2.87677i	0.344661	−	0.198990i
$210$	4.94690	−	16.8553i	0.341369	−	1.16313i
$211$	−0.112760	−	0.0651019i	−0.00776270	−	0.00448180i	0.496114	−	0.868258i	$-0.334760\pi$
$211$	−0.112760	−	0.0651019i	−0.00776270	−	0.00448180i	−0.503876	+	0.863776i	$0.668093\pi$
$212$	−5.83046	−	3.52615i	−0.400438	−	0.242177i
$213$	−12.1228	−	1.31869i	−0.830639	−	0.0903551i
$214$	−17.5788	−	4.90226i	−1.20166	−	0.335111i
$215$	2.14335	+	3.71239i	0.146175	+	0.253183i
$216$	−6.12472	−	13.3599i	−0.416734	−	0.909028i
$217$	3.08391	−	6.74639i	0.209349	−	0.457974i
$218$	17.0508	−	4.38349i	1.15482	−	0.296887i
$219$	−10.7784	+	14.7224i	−0.728334	+	0.994847i
$220$	0.499671	−	24.5764i	0.0336878	−	1.65694i
$221$	6.64201	+	11.5043i	0.446790	+	0.773862i
$222$	6.71565	+	2.68477i	0.450725	+	0.180190i
$223$	3.96310	+	6.86430i	0.265389	+	0.459667i	0.967665	−	0.252237i	$-0.0811663\pi$
$223$	3.96310	+	6.86430i	0.265389	+	0.459667i	−0.702276	+	0.711904i	$0.747833\pi$
$224$	3.23374	−	14.6131i	0.216064	−	0.976379i
$225$	6.87626	+	1.51388i	0.458417	+	0.100925i
$226$	1.17382	−	0.301771i	0.0780815	−	0.0200735i
$227$	−9.49971			−0.630518			−0.315259	−	0.949006i	$-0.602091\pi$
$227$	−9.49971			−0.630518			−0.315259	+	0.949006i	$0.602091\pi$
$228$	1.69106	+	4.05710i	0.111994	+	0.268688i
$229$		−	4.75261i		−	0.314062i	−0.987594	−	0.157031i	$-0.949808\pi$
$229$		−	4.75261i		−	0.314062i	0.987594	−	0.157031i	$-0.0501922\pi$
$230$	22.1486	+	22.6034i	1.46043	+	1.49043i
$231$	10.1456	+	18.1343i	0.667533	+	1.19315i
$232$	16.8438	+	5.06849i	1.10585	+	0.332762i
$233$	−7.57886	−	13.1270i	−0.496508	−	0.859976i	0.503484	−	0.864004i	$-0.332051\pi$
$233$	−7.57886	−	13.1270i	−0.496508	−	0.859976i	−0.999992	+	0.00402795i	$0.998718\pi$
$234$	−0.316760	−	9.06437i	−0.0207073	−	0.592556i
$235$	20.1047	+	11.6074i	1.31148	+	0.757186i
$236$	−7.04056	+	3.87622i	−0.458301	+	0.252321i
$237$	−2.71108	+	3.70312i	−0.176103	+	0.240543i
$238$	14.9910	−	17.7719i	0.971725	−	1.15198i
$239$	16.2272	+	9.36877i	1.04965	+	0.606015i	0.922551	−	0.385875i	$-0.126100\pi$
$239$	16.2272	+	9.36877i	1.04965	+	0.606015i	0.127098	+	0.991890i	$0.459434\pi$
$240$	18.5710	+	2.78791i	1.19875	+	0.179959i
$241$			25.0061i			1.61078i	0.592742	+	0.805392i	$0.298045\pi$
$241$			25.0061i			1.61078i	−0.592742	+	0.805392i	$0.701955\pi$
$242$	9.46354	+	9.65791i	0.608340	+	0.620834i
$243$	−8.03810	+	13.3562i	−0.515644	+	0.856803i
$244$	−4.66749	+	7.71766i	−0.298805	+	0.494072i
$245$	−17.9257	−	6.21861i	−1.14523	−	0.397292i
$246$	−14.0493	+	2.02692i	−0.895749	+	0.129231i
$247$			2.71254i			0.172595i
$248$	7.59365	+	2.28501i	0.482197	+	0.145098i
$249$	0.417520	−	0.184078i	0.0264593	−	0.0116655i
$250$	7.26382	−	7.11764i	0.459404	−	0.450159i
$251$	−5.60075			−0.353516			−0.176758	−	0.984254i	$-0.556561\pi$
$251$	−5.60075			−0.353516			−0.176758	+	0.984254i	$0.556561\pi$
$252$	−14.7338	+	5.90890i	−0.928142	+	0.372226i
$253$	−37.4347			−2.35350
$254$	−1.81246	+	1.77598i	−0.113724	+	0.111435i
$255$	23.5388	+	17.2329i	1.47406	+	1.07917i
$256$	15.9471	+	1.29959i	0.996696	+	0.0812245i
$257$		−	3.00771i		−	0.187616i	−0.995590	−	0.0938080i	$-0.970096\pi$
$257$		−	3.00771i		−	0.187616i	0.995590	−	0.0938080i	$-0.0299040\pi$
$258$	1.43803	−	3.59707i	0.0895279	−	0.223944i
$259$	3.24774	−	7.10479i	0.201805	−	0.441470i
$260$	9.91662	+	5.99738i	0.615003	+	0.371942i
$261$	−5.63625	−	17.7852i	−0.348875	−	1.10087i
$262$	8.50830	+	8.68304i	0.525644	+	0.536440i
$263$		−	11.9990i		−	0.739890i	−0.929054	−	0.369945i	$-0.879377\pi$
$263$		−	11.9990i		−	0.739890i	0.929054	−	0.369945i	$-0.120623\pi$
$264$	−17.7306	+	13.3827i	−1.09124	+	0.823647i
$265$	−7.99733	−	4.61726i	−0.491272	−	0.283636i
$266$	4.46548	−	1.61221i	0.273796	−	0.0988510i
$267$	1.78429	+	4.04708i	0.109197	+	0.247677i
$268$	−7.84356	−	14.2466i	−0.479122	−	0.870251i
$269$	12.7680	+	7.37162i	0.778480	+	0.449456i	0.835891	−	0.548895i	$-0.184951\pi$
$269$	12.7680	+	7.37162i	0.778480	+	0.449456i	−0.0574114	+	0.998351i	$0.518285\pi$
$270$	−8.66695	−	17.9338i	−0.527454	−	1.09142i
$271$	−0.793431	−	1.37426i	−0.0481975	−	0.0834806i	0.840920	−	0.541159i	$-0.182014\pi$
$271$	−0.793431	−	1.37426i	−0.0481975	−	0.0834806i	−0.889118	+	0.457679i	$0.848681\pi$
$272$	21.0026	+	13.2924i	1.27347	+	0.805971i
$273$	−9.79572	−	0.132370i	−0.592864	−	0.00801141i
$274$	10.1196	+	10.3274i	0.611345	+	0.623901i
$275$		−	10.6422i		−	0.641752i
$276$	3.66990	−	28.3619i	0.220902	−	1.70719i
$277$	24.3423			1.46259			0.731294	−	0.682062i	$-0.238917\pi$
$277$	24.3423			1.46259			0.731294	+	0.682062i	$0.238917\pi$
$278$	−0.108153	+	0.0278044i	−0.00648657	+	0.00166759i
$279$	−2.54097	−	8.01803i	−0.152124	−	0.480027i
$280$	3.97911	−	19.8896i	0.237797	−	1.18863i
$281$	2.42545	+	4.20101i	0.144691	+	0.250611i	0.929257	−	0.369433i	$-0.120448\pi$
$281$	2.42545	+	4.20101i	0.144691	+	0.250611i	−0.784567	+	0.620044i	$0.787115\pi$
$282$	−2.99568	−	20.7642i	−0.178390	−	1.23649i
$283$	−8.18550	−	14.1777i	−0.486578	−	0.842777i	0.513303	−	0.858207i	$-0.328422\pi$
$283$	−8.18550	−	14.1777i	−0.486578	−	0.842777i	−0.999881	+	0.0154300i	$0.995088\pi$
$284$	−14.0778	−	0.286221i	−0.835366	−	0.0169841i
$285$	2.40314	+	5.45073i	0.142349	+	0.322873i
$286$	−13.2773	+	3.41338i	−0.785101	+	0.201837i
$287$	1.45191	+	15.2632i	0.0857035	+	0.900956i
$288$	−8.40099	−	14.7453i	−0.495033	−	0.868874i
$289$	10.8062	+	18.7168i	0.635656	+	1.10099i
$290$	22.9628	+	6.40370i	1.34842	+	0.376038i
$291$	10.8436	+	24.5951i	0.635660	+	1.44179i
$292$	−10.9031	+	18.0282i	−0.638057	+	1.05502i
$293$	−22.7526	−	13.1362i	−1.32922	−	0.767425i	−0.344040	−	0.938955i	$-0.611796\pi$
$293$	−22.7526	−	13.1362i	−1.32922	−	0.767425i	−0.985179	+	0.171530i	$0.945129\pi$
$294$	5.60421	+	16.2047i	0.326844	+	0.945078i
$295$	−9.43307	+	5.44618i	−0.549214	+	0.317089i
$296$	7.99707	+	2.40640i	0.464820	+	0.139869i
$297$	22.3278	+	7.52469i	1.29559	+	0.436627i
$298$	−17.5904	−	17.9516i	−1.01898	−	1.03991i
$299$	8.82443	−	15.2844i	0.510330	−	0.883918i
$300$	8.06295	+	1.04331i	0.465515	+	0.0602354i
$301$	−3.80550	−	1.73957i	−0.219346	−	0.100267i
$302$	4.56460	−	4.47274i	0.262663	−	0.257377i
$303$	−1.44905	−	0.157624i	−0.0832455	−	0.00905527i
$304$	2.35695	+	4.49494i	0.135180	+	0.257803i
$305$	−6.11177	+	10.5859i	−0.349959	+	0.606147i
$306$	−0.920719	−	26.3472i	−0.0526340	−	1.50617i
$307$	4.04236			0.230710			0.115355	−	0.993324i	$-0.463199\pi$
$307$	4.04236			0.230710			0.115355	+	0.993324i	$0.463199\pi$
$308$	13.5106	+	19.8287i	0.769838	+	1.12985i
$309$	−0.976301	+	8.97518i	−0.0555398	+	0.510580i
$310$	10.3522	+	2.88696i	0.587967	+	0.163968i
$311$	−8.20818	−	14.2170i	−0.465443	−	0.806171i	0.533778	−	0.845625i	$-0.320772\pi$
$311$	−8.20818	−	14.2170i	−0.465443	−	0.806171i	−0.999221	+	0.0394532i	$0.987438\pi$
$312$	−1.28447	−	10.3940i	−0.0727186	−	0.588442i
$313$	−18.3372	−	10.5870i	−1.03648	−	0.598412i	−0.117646	−	0.993056i	$-0.537535\pi$
$313$	−18.3372	−	10.5870i	−1.03648	−	0.598412i	−0.918834	+	0.394643i	$0.870868\pi$
$314$	13.6935	+	3.81876i	0.772770	+	0.215505i
$315$	−19.8013	+	8.41237i	−1.11568	+	0.473984i
$316$	−2.74246	+	4.53464i	−0.154275	+	0.255093i
$317$	−15.2810	+	26.4675i	−0.858269	+	1.48656i	0.0153105	+	0.999883i	$0.495126\pi$
$317$	−15.2810	+	26.4675i	−0.858269	+	1.48656i	−0.873579	+	0.486682i	$0.838207\pi$
$318$	1.19164	+	8.25966i	0.0668237	+	0.463179i
$319$	−24.4215	+	14.0998i	−1.36734	+	0.789436i
$320$	21.6439	+	1.32161i	1.20993	+	0.0738800i
$321$	9.01676	+	20.4516i	0.503267	+	1.14150i
$322$	−30.4065	−	5.44275i	−1.69449	−	0.303313i
$323$			7.88448i			0.438704i
$324$	−7.88988	+	16.1787i	−0.438326	+	0.898816i
$325$	4.34516	+	2.50868i	0.241026	+	0.139157i
$326$	−21.2834	−	5.93538i	−1.17878	−	0.328730i
$327$	−17.3978	−	12.7370i	−0.962100	−	0.704360i
$328$	−15.9542	+	3.75755i	−0.880921	+	0.207476i
$329$	−22.5582	+	2.14585i	−1.24368	+	0.118305i
$330$	−23.6560	+	18.6218i	−1.30222	+	1.02510i
$331$	29.0366	+	16.7643i	1.59599	+	0.921448i	0.992248	+	0.124271i	$0.0396593\pi$
$331$	29.0366	+	16.7643i	1.59599	+	0.921448i	0.603746	+	0.797177i	$0.293674\pi$
$332$	0.461559	−	0.254114i	0.0253313	−	0.0139463i
$333$	−2.67597	−	8.44400i	−0.146642	−	0.462728i
$334$	17.5001	−	4.49900i	0.957562	−	0.246174i
$335$	−11.0204	−	19.0879i	−0.602108	−	1.04288i
$336$	−16.3475	+	8.29222i	−0.891827	+	0.452378i
$337$	5.86189	−	10.1531i	0.319318	−	0.553074i	−0.661028	−	0.750361i	$-0.729880\pi$
$337$	5.86189	−	10.1531i	0.319318	−	0.553074i	0.980346	+	0.197287i	$0.0632130\pi$
$338$	−3.20241	+	11.4834i	−0.174188	+	0.624615i
$339$	−1.19771	−	0.876853i	−0.0650508	−	0.0476241i
$340$	28.8244	+	17.4324i	1.56322	+	0.945407i
$341$	−11.0099	+	6.35656i	−0.596219	+	0.344227i
$342$	2.52718	−	4.75321i	0.136654	−	0.257024i
$343$	17.7757	−	5.19856i	0.959797	−	0.280696i
$344$	1.28893	−	4.28343i	0.0694945	−	0.230947i
$345$	4.19133	−	38.5311i	0.225654	−	2.07444i
$346$	−1.31511	−	5.11548i	−0.0707008	−	0.275010i
$347$	9.18311	−	5.30187i	0.492975	−	0.284619i	−0.232833	−	0.972517i	$-0.574799\pi$
$347$	9.18311	−	5.30187i	0.492975	−	0.284619i	0.725808	+	0.687897i	$0.241466\pi$
$348$	−8.28834	−	19.8849i	−0.444302	−	1.06594i
$349$	30.2002	−	17.4361i	1.61658	−	0.933332i	0.628782	−	0.777582i	$-0.283554\pi$
$349$	30.2002	−	17.4361i	1.61658	−	0.933332i	0.987796	−	0.155750i	$-0.0497795\pi$
$350$	1.54731	−	8.64419i	0.0827072	−	0.462052i
$351$	−8.33559	+	7.34252i	−0.444921	+	0.391915i
$352$	−19.0358	+	17.1930i	−1.01461	+	0.916389i
$353$		−	22.4338i		−	1.19403i	−0.802230	−	0.597015i	$-0.796353\pi$
$353$		−	22.4338i		−	1.19403i	0.802230	−	0.597015i	$-0.203647\pi$
$354$	9.14003	+	3.65399i	0.485787	+	0.194207i
$355$	−19.0832			−1.01283
$356$	2.46316	+	4.47395i	0.130547	+	0.237119i
$357$	−28.4730	−	0.384758i	−1.50695	−	0.0203635i
$358$	8.12771	+	31.6149i	0.429563	+	1.67090i
$359$	−13.9467	+	8.05211i	−0.736077	+	0.424974i	−0.820641	−	0.571444i	$-0.806383\pi$
$359$	−13.9467	+	8.05211i	−0.736077	+	0.424974i	0.0845645	+	0.996418i	$0.473050\pi$
$360$	−11.7894	−	19.7482i	−0.621358	−	1.04082i
$361$	8.69501	−	15.0602i	0.457632	−	0.792642i
$362$	−4.52686	+	4.43576i	−0.237927	+	0.233139i
$363$	1.79085	−	16.4634i	0.0939954	−	0.864104i
$364$	−11.2808	+	0.842101i	−0.591273	+	0.0441381i
$365$	−14.2769	+	24.7284i	−0.747289	+	1.29434i
$366$	10.9331	−	1.57735i	0.571484	−	0.0824492i
$367$	14.3783			0.750539			0.375269	−	0.926916i	$-0.377550\pi$
$367$	14.3783			0.750539			0.375269	+	0.926916i	$0.377550\pi$
$368$	1.34223	−	32.9953i	0.0699685	−	1.72000i
$369$	12.8347	+	11.7263i	0.668147	+	0.610449i
$370$	10.9022	+	3.04033i	0.566779	+	0.158059i
$371$	8.97331	−	0.853586i	0.465871	−	0.0443160i
$372$	−3.73661	−	8.96465i	−0.193734	−	0.464795i
$373$	−5.75476			−0.297970			−0.148985	−	0.988839i	$-0.547601\pi$
$373$	−5.75476			−0.297970			−0.148985	+	0.988839i	$0.547601\pi$
$374$	−38.5927	+	9.92158i	−1.99558	+	0.513032i
$375$	−12.3823	−	1.34692i	−0.639420	−	0.0695547i
$376$	−5.55348	−	23.5795i	−0.286399	−	1.21602i
$377$		−	13.2949i		−	0.684721i
$378$	17.0418	+	9.35826i	0.876536	+	0.481337i
$379$		−	5.07756i		−	0.260817i	−0.991460	−	0.130408i	$-0.958371\pi$
$379$		−	5.07756i		−	0.260817i	0.991460	−	0.130408i	$-0.0416289\pi$
$380$	3.31746	+	6.02565i	0.170182	+	0.309109i
$381$	3.08962	+	0.336082i	0.158286	+	0.0172180i
$382$	4.34213	+	16.8899i	0.222163	+	0.864162i
$383$	−15.8427			−0.809524			−0.404762	−	0.914422i	$-0.632646\pi$
$383$	−15.8427			−0.809524			−0.404762	+	0.914422i	$0.632646\pi$
$384$	−11.1599	−	16.1077i	−0.569499	−	0.821992i
$385$	18.8529	+	26.4954i	0.960834	+	1.35033i
$386$	−4.88284	+	17.5092i	−0.248530	+	0.891193i
$387$	−4.52282	+	1.43331i	−0.229908	+	0.0728594i
$388$	14.9692	+	27.1892i	0.759947	+	1.38032i
$389$	23.8862			1.21108			0.605540	−	0.795815i	$-0.292957\pi$
$389$	23.8862			1.21108			0.605540	+	0.795815i	$0.292957\pi$
$390$	−2.02677	−	14.0483i	−0.102630	−	0.711362i
$391$	25.6498	−	44.4267i	1.29716	−	2.24675i
$392$	8.09106	+	18.0703i	0.408660	+	0.912687i
$393$	1.61009	−	14.8016i	0.0812181	−	0.746642i
$394$	10.0713	+	10.2781i	0.507385	+	0.517805i
$395$	−3.59107	+	6.21992i	−0.180686	+	0.312958i
$396$	26.4460	+	6.38864i	1.32896	+	0.321041i
$397$	28.3601	−	16.3737i	1.42335	−	0.821773i	0.426768	−	0.904361i	$-0.359652\pi$
$397$	28.3601	−	16.3737i	1.42335	−	0.821773i	0.996584	+	0.0825886i	$0.0263187\pi$
$398$	13.2238	−	3.39963i	0.662849	−	0.170408i
$399$	−4.99585	−	2.97508i	−0.250105	−	0.148940i
$400$	9.38015	+	0.381579i	0.469008	+	0.0190790i
$401$	24.2835			1.21266			0.606330	−	0.795213i	$-0.292641\pi$
$401$	24.2835			1.21266			0.606330	+	0.795213i	$0.292641\pi$
$402$	−7.39387	+	18.4949i	−0.368773	+	0.922443i
$403$		−	5.99369i		−	0.298567i
$404$	−1.68274	−	0.0342122i	−0.0837193	−	0.00170212i
$405$	−10.2450	+	22.1392i	−0.509077	+	1.10011i
$406$	−21.8865	+	7.90186i	−1.08621	+	0.392163i
$407$	−11.5948	+	6.69426i	−0.574733	+	0.331822i
$408$	−3.73353	−	30.2119i	−0.184837	−	1.49571i
$409$	−4.70572	+	2.71685i	−0.232683	+	0.134339i	−0.611809	−	0.791006i	$-0.709558\pi$
$409$	−4.70572	+	2.71685i	−0.232683	+	0.134339i	0.379126	+	0.925345i	$0.376225\pi$
$410$	−21.5141	+	5.53095i	−1.06251	+	0.273154i
$411$	1.91500	−	17.6047i	0.0944599	−	0.868374i
$412$	−0.211906	+	10.4226i	−0.0104398	+	0.513486i
$413$	4.42020	−	9.66966i	0.217504	−	0.475813i
$414$	−29.7030	+	18.5615i	−1.45982	+	0.912249i
$415$	0.618405	−	0.357036i	0.0303563	−	0.0175262i
$416$	−2.53252	−	11.8251i	−0.124167	−	0.579771i
$417$	0.110354	+	0.0807908i	0.00540405	+	0.00395634i
$418$	−7.83766	−	2.18572i	−0.383353	−	0.106907i
$419$	5.14325	−	8.90838i	0.251264	−	0.435203i	−0.712610	−	0.701561i	$-0.752487\pi$
$419$	5.14325	−	8.90838i	0.251264	−	0.435203i	0.963874	+	0.266358i	$0.0858203\pi$
$420$	−21.9221	+	11.6862i	−1.06969	+	0.570227i
$421$	−4.24651	−	7.35517i	−0.206962	−	0.358469i	0.743794	−	0.668409i	$-0.233024\pi$
$421$	−4.24651	−	7.35517i	−0.206962	−	0.358469i	−0.950756	+	0.309940i	$0.899691\pi$
$422$	0.0458476	+	0.178337i	0.00223183	+	0.00868130i
$423$	−17.3310	+	18.9690i	−0.842660	+	0.922306i
$424$	2.20909	+	9.37954i	0.107283	+	0.455511i
$425$	12.6300	+	7.29192i	0.612644	+	0.353710i
$426$	10.6669	+	13.5506i	0.516813	+	0.656528i
$427$	−1.12987	−	11.8778i	−0.0546784	−	0.574806i
$428$	12.4474	+	22.6087i	0.601667	+	1.09283i
$429$	13.5475	+	9.91820i	0.654079	+	0.478855i
$430$	1.62848	−	5.83949i	0.0785322	−	0.281605i
$431$	−3.31490	−	1.91386i	−0.159673	−	0.0921873i	0.418034	−	0.908431i	$-0.362719\pi$
$431$	−3.31490	−	1.91386i	−0.159673	−	0.0921873i	−0.577707	+	0.816244i	$0.696053\pi$
$432$	−7.43288	+	19.4101i	−0.357615	+	0.933869i
$433$			34.5478i			1.66026i	0.557567	+	0.830132i	$0.311735\pi$
$433$			34.5478i			1.66026i	−0.557567	+	0.830132i	$0.688265\pi$
$434$	−9.86701	+	3.56237i	−0.473632	+	0.170999i
$435$	−11.7784	−	26.7154i	−0.564730	−	1.28091i
$436$	−21.3044	−	12.8845i	−1.02030	−	0.617055i
$437$	9.07176	−	5.23758i	0.433961	−	0.250548i
$438$	25.5395	−	3.68464i	1.22033	−	0.176059i
$439$	−16.1890	+	28.0403i	−0.772661	+	1.33829i	0.163439	+	0.986554i	$0.447741\pi$
$439$	−16.1890	+	28.0403i	−0.772661	+	1.33829i	−0.936100	+	0.351735i	$0.885592\pi$
$440$	−25.3195	+	23.8207i	−1.20706	+	1.13561i
$441$	10.9876	−	17.8962i	0.523218	−	0.852199i
$442$	5.04648	−	18.0959i	0.240036	−	0.860736i
$443$	10.8354	+	6.25585i	0.514808	+	0.297224i	0.734808	−	0.678276i	$-0.237272\pi$
$443$	10.8354	+	6.25585i	0.514808	+	0.297224i	−0.220000	+	0.975500i	$0.570606\pi$
$444$	−3.93512	−	9.44090i	−0.186753	−	0.448045i
$445$	3.46080	+	5.99428i	0.164058	+	0.284156i
$446$	3.01109	−	10.7974i	0.142579	−	0.511270i
$447$	−3.32875	+	30.6013i	−0.157444	+	1.44739i
$448$	−17.9616	+	11.1974i	−0.848605	+	0.529026i
$449$	−7.79064			−0.367663			−0.183831	−	0.982958i	$-0.558850\pi$
$449$	−7.79064			−0.367663			−0.183831	+	0.982958i	$0.558850\pi$
$450$	−5.27682	−	8.44421i	−0.248752	−	0.398064i
$451$	13.1385	−	22.7566i	0.618668	−	1.07157i
$452$	−1.46665	−	0.887004i	−0.0689856	−	0.0417212i
$453$	−7.78108	−	0.846409i	−0.365587	−	0.0397678i
$454$	9.40266	+	9.59577i	0.441289	+	0.450352i
$455$	−15.2621	+	1.45180i	−0.715497	+	0.0680617i
$456$	2.42434	−	5.72382i	0.113530	−	0.268042i
$457$	−19.1495	+	33.1678i	−0.895774	+	1.55153i	−0.0629306	+	0.998018i	$0.520045\pi$
$457$	−19.1495	+	33.1678i	−0.895774	+	1.55153i	−0.832844	+	0.553508i	$0.813289\pi$
$458$	−4.80067	+	4.70406i	−0.224321	+	0.219806i
$459$	−24.2288	+	21.3423i	−1.13091	+	0.996175i
$460$	0.909726	−	44.7451i	0.0424162	−	2.08625i
$461$	−17.5428	+	10.1283i	−0.817049	+	0.471723i	−0.849398	−	0.527753i	$-0.823035\pi$
$461$	−17.5428	+	10.1283i	−0.817049	+	0.471723i	0.0323489	+	0.999477i	$0.489701\pi$
$462$	8.27568	−	28.1972i	0.385019	−	1.31185i
$463$	21.0319	+	12.1428i	0.977434	+	0.564322i	0.901494	−	0.432791i	$-0.142471\pi$
$463$	21.0319	+	12.1428i	0.977434	+	0.564322i	0.0759392	+	0.997112i	$0.475804\pi$
$464$	−11.5520	−	22.0309i	−0.536288	−	1.02276i
$465$	−5.31002	−	12.0440i	−0.246246	−	0.558529i
$466$	−5.75828	+	20.6484i	−0.266747	+	0.956517i
$467$	15.1767	+	26.2867i	0.702292	+	1.21641i	0.967660	+	0.252258i	$0.0811732\pi$
$467$	15.1767	+	26.2867i	0.702292	+	1.21641i	−0.265368	+	0.964147i	$0.585493\pi$
$468$	−8.84251	+	9.29173i	−0.408745	+	0.429511i
$469$	19.5666	+	8.94430i	0.903503	+	0.413009i
$470$	−8.17447	−	31.7968i	−0.377060	−	1.46668i
$471$	−7.02388	−	15.9314i	−0.323643	−	0.734079i
$472$	10.8841	+	3.27513i	0.500979	+	0.150750i
$473$	3.58561	+	6.21046i	0.164867	+	0.285557i
$474$	6.42395	−	0.926795i	0.295062	−	0.0425691i
$475$	1.48898	+	2.57899i	0.0683192	+	0.118332i
$476$	−32.7895	+	2.44772i	−1.50291	+	0.112191i
$477$	6.89398	−	7.54559i	0.315654	−	0.345489i
$478$	−6.59790	−	25.6643i	−0.301781	−	1.17386i
$479$	22.1023			1.00988			0.504940	−	0.863155i	$-0.331515\pi$
$479$	22.1023			1.00988			0.504940	+	0.863155i	$0.331515\pi$
$480$	−15.5652	−	21.5182i	−0.710451	−	0.982169i
$481$		−	6.31211i		−	0.287807i
$482$	25.2590	−	24.7506i	1.15051	−	1.12736i
$483$	18.4716	+	33.0161i	0.840488	+	1.50229i
$484$	0.388704	−	19.1185i	0.0176684	−	0.869022i
$485$	21.0321	+	36.4286i	0.955018	+	1.65414i
$486$	21.4473	−	5.10041i	0.972868	−	0.231359i
$487$	1.80749	+	1.04356i	0.0819053	+	0.0472880i	0.540393	−	0.841413i	$-0.318275\pi$
$487$	1.80749	+	1.04356i	0.0819053	+	0.0472880i	−0.458488	+	0.888701i	$0.651609\pi$
$488$	12.4155	−	2.92413i	0.562024	−	0.132369i
$489$	10.9170	+	24.7616i	0.493684	+	1.11976i
$490$	11.4611	+	24.2621i	0.517759	+	1.09605i
$491$	13.5131	+	7.80182i	0.609840	+	0.352091i	0.772903	−	0.634525i	$-0.218804\pi$
$491$	13.5131	+	7.80182i	0.609840	+	0.352091i	−0.163063	+	0.986616i	$0.552137\pi$
$492$	15.9532	+	12.1851i	0.719224	+	0.549349i
$493$		−	38.6439i		−	1.74043i
$494$	2.73997	−	2.68483i	0.123277	−	0.120796i
$495$	36.0099	+	7.92797i	1.61852	+	0.356336i
$496$	−5.20796	−	9.93211i	−0.233844	−	0.445965i
$497$	15.1771	−	10.7993i	0.680784	−	0.484415i
$498$	−0.599194	−	0.239545i	−0.0268505	−	0.0107343i
$499$		−	2.64899i		−	0.118585i	−0.998241	−	0.0592925i	$-0.981116\pi$
$499$		−	2.64899i		−	0.118585i	0.998241	−	0.0592925i	$-0.0188845\pi$
$500$	−14.3792	−	0.292349i	−0.643059	−	0.0130742i
$501$	−17.8563	−	13.0727i	−0.797759	−	0.584044i
$502$	5.54353	+	5.65738i	0.247420	+	0.252501i
$503$	2.56426			0.114335			0.0571673	−	0.998365i	$-0.481793\pi$
$503$	2.56426			0.114335			0.0571673	+	0.998365i	$0.481793\pi$
$504$	20.5519	+	9.03425i	0.915456	+	0.402418i
$505$	−2.28103			−0.101504
$506$	37.0523	+	37.8133i	1.64718	+	1.68101i
$507$	13.3601	−	5.89023i	0.593341	−	0.261594i
$508$	3.58788	+	0.0729464i	0.159187	+	0.00323647i
$509$		−	35.1047i		−	1.55599i	−0.628271	−	0.777995i	$-0.716237\pi$
$509$		−	35.1047i		−	1.55599i	0.628271	−	0.777995i	$-0.283763\pi$
$510$	−5.89117	−	40.8338i	−0.260865	−	1.80815i
$511$	−2.63936	−	27.7462i	−0.116758	−	1.22742i
$512$	−14.4715	−	17.3947i	−0.639555	−	0.768745i
$513$	−6.46362	+	1.30044i	−0.285376	+	0.0574158i
$514$	−3.03813	+	2.97699i	−0.134006	+	0.131309i
$515$			14.1283i			0.622569i
$516$	−5.05678	+	2.10775i	−0.222613	+	0.0927885i
$517$	33.6331	+	19.4181i	1.47918	+	0.854006i
$518$	−10.3912	+	3.75163i	−0.456563	+	0.164837i
$519$	−3.82130	+	5.21959i	−0.167736	+	0.229115i
$520$	−3.75729	−	15.9530i	−0.164768	−	0.699586i
$521$	21.0289	+	12.1410i	0.921292	+	0.531908i	0.884047	−	0.467398i	$-0.154809\pi$
$521$	21.0289	+	12.1410i	0.921292	+	0.531908i	0.0372447	+	0.999306i	$0.488142\pi$
$522$	−12.3863	+	23.2967i	−0.542135	+	1.01967i
$523$	1.58550	+	2.74617i	0.0693291	+	0.120082i	0.898606	−	0.438756i	$-0.144581\pi$
$523$	1.58550	+	2.74617i	0.0693291	+	0.120082i	−0.829277	+	0.558838i	$0.811247\pi$
$524$	0.349468	−	17.1887i	0.0152666	−	0.750891i
$525$	−9.38609	+	5.25126i	−0.409643	+	0.229184i
$526$	−12.1203	+	11.8764i	−0.528472	+	0.517837i
$527$		−	17.4217i		−	0.758902i
$528$	31.0675	+	4.66390i	1.35204	+	0.202970i
$529$	−45.1555			−1.96328
$530$	3.25168	+	12.6483i	0.141244	+	0.549407i
$531$	−3.64200	−	11.4923i	−0.158049	−	0.498725i
$532$	−6.04838	−	2.91490i	−0.262230	−	0.126377i
$533$	6.19424	+	10.7287i	0.268302	+	0.464713i
$534$	2.32194	−	5.80807i	0.100480	−	0.251340i
$535$	17.4889	+	30.2916i	0.756109	+	1.30962i
$536$	−6.62725	+	22.0240i	−0.286253	+	0.951290i
$537$	23.6166	−	32.2584i	1.01913	−	1.39205i
$538$	−5.19142	−	20.1934i	−0.223818	−	0.870601i
$539$	−29.9879	−	10.4031i	−1.29167	−	0.448094i
$540$	−9.53673	+	26.5052i	−0.410395	+	1.14060i
$541$	−3.76989	−	6.52964i	−0.162080	−	0.280731i	0.773534	−	0.633754i	$-0.218487\pi$
$541$	−3.76989	−	6.52964i	−0.162080	−	0.280731i	−0.935615	+	0.353023i	$0.885154\pi$
$542$	−0.602835	+	2.16168i	−0.0258940	+	0.0928521i
$543$	7.71674	+	0.839411i	0.331157	+	0.0360226i
$544$	−7.36120	−	34.3716i	−0.315609	−	1.47367i
$545$	−29.2221	−	16.8714i	−1.25174	−	0.722691i
$546$	9.56194	+	10.0258i	0.409213	+	0.429064i
$547$	5.23369	−	3.02167i	0.223777	−	0.129197i	−0.383921	−	0.923366i	$-0.625427\pi$
$547$	5.23369	−	3.02167i	0.223777	−	0.129197i	0.607698	+	0.794168i	$0.292093\pi$
$548$	0.415649	−	20.4438i	0.0177557	−	0.873316i
$549$	−9.98794	−	9.12542i	−0.426275	−	0.389464i
$550$	−10.7499	+	10.5335i	−0.458376	+	0.449151i
$551$	3.94546	−	6.83374i	0.168082	−	0.291127i
$552$	−32.2811	+	24.3652i	−1.37398	+	1.03705i
$553$	−0.663876	−	6.97899i	−0.0282309	−	0.296777i
$554$	−24.0936	−	24.5885i	−1.02364	−	1.04466i
$555$	−5.59212	−	12.6839i	−0.237372	−	0.538401i
$556$	0.135133	+	0.0817260i	0.00573093	+	0.00346596i
$557$	−14.5904	+	25.2713i	−0.618215	+	1.07078i	0.371597	+	0.928394i	$0.378810\pi$
$557$	−14.5904	+	25.2713i	−0.618215	+	1.07078i	−0.989811	+	0.142385i	$0.954523\pi$
$558$	−5.58410	+	10.5028i	−0.236394	+	0.444619i
$559$	−3.38092			−0.142998
$560$	−24.0292	+	15.6671i	−1.01542	+	0.662056i
$561$	39.3781	+	28.8290i	1.66255	+	1.21716i
$562$	1.84282	−	6.60808i	0.0777345	−	0.278745i
$563$	−5.58302	−	9.67008i	−0.235296	−	0.407545i	0.724062	−	0.689734i	$-0.242273\pi$
$563$	−5.58302	−	9.67008i	−0.235296	−	0.407545i	−0.959359	+	0.282189i	$0.908939\pi$
$564$	−18.0090	+	23.5780i	−0.758318	+	0.992813i
$565$	−2.01173	−	1.16147i	−0.0846341	−	0.0488635i
$566$	−6.21920	+	22.3012i	−0.261412	+	0.937387i
$567$	−4.38082	−	23.4053i	−0.183977	−	0.982931i
$568$	13.6449	+	14.5035i	0.572528	+	0.608553i
$569$	14.1938	−	24.5845i	0.595037	−	1.03063i	−0.398505	−	0.917166i	$-0.630471\pi$
$569$	14.1938	−	24.5845i	0.595037	−	1.03063i	0.993542	−	0.113468i	$-0.0361958\pi$
$570$	3.12726	−	7.82248i	0.130987	−	0.327648i
$571$	15.1229	−	8.73120i	0.632873	−	0.365389i	−0.148991	−	0.988839i	$-0.547602\pi$
$571$	15.1229	−	8.73120i	0.632873	−	0.365389i	0.781864	+	0.623449i	$0.214269\pi$
$572$	16.5895	+	10.0330i	0.693642	+	0.419501i
$573$	12.6169	−	17.2336i	0.527077	−	0.719946i
$574$	13.9804	−	16.5738i	0.583532	−	0.691779i
$575$		−	19.3758i		−	0.808026i
$576$	−6.57922	+	23.0806i	−0.274134	+	0.961691i
$577$	−19.5911	−	11.3109i	−0.815588	−	0.470880i	0.0333046	−	0.999445i	$-0.489397\pi$
$577$	−19.5911	−	11.3109i	−0.815588	−	0.470880i	−0.848893	+	0.528565i	$0.822730\pi$
$578$	8.21032	−	29.4410i	0.341504	−	1.22459i
$579$	20.3706	−	8.98105i	0.846572	−	0.373240i
$580$	−16.2597	−	29.5332i	−0.675148	−	1.22630i
$581$	−0.289775	+	0.633915i	−0.0120219	+	0.0262992i
$582$	14.1110	−	35.2970i	0.584919	−	1.46311i
$583$	−13.3787	−	7.72421i	−0.554090	−	0.319904i
$584$	29.0023	−	6.83068i	1.20012	−	0.282656i
$585$	−11.7255	+	12.8338i	−0.484790	+	0.530611i
$586$	9.25110	+	35.9847i	0.382159	+	1.48651i
$587$	17.5604	+	30.4156i	0.724797	+	1.25539i	0.959057	+	0.283212i	$0.0913999\pi$
$587$	17.5604	+	30.4156i	0.724797	+	1.25539i	−0.234260	+	0.972174i	$0.575267\pi$
$588$	10.8216	−	21.7001i	0.446276	−	0.894895i
$589$	1.77872	−	3.08084i	0.0732910	−	0.126944i
$590$	14.8380	+	4.13791i	0.610869	+	0.170355i
$591$	1.90586	−	17.5207i	0.0783968	−	0.720705i
$592$	−5.48463	−	10.4598i	−0.225417	−	0.429893i
$593$	−25.7528	+	14.8684i	−1.05754	+	0.610572i	−0.924751	−	0.380572i	$-0.875727\pi$
$593$	−25.7528	+	14.8684i	−1.05754	+	0.610572i	−0.132791	+	0.991144i	$0.542394\pi$
$594$	−14.4989	−	30.0014i	−0.594899	−	1.23097i
$595$	−44.3619	+	4.21993i	−1.81866	+	0.173000i
$596$	−0.722503	+	35.5365i	−0.0295949	+	1.45563i
$597$	−13.4929	−	9.87827i	−0.552229	−	0.404291i
$598$	−24.1732	+	6.21456i	−0.988516	+	0.254132i
$599$	0.169644	−	0.0979438i	0.00693145	−	0.00400187i	−0.496530	−	0.868019i	$-0.665393\pi$
$599$	0.169644	−	0.0979438i	0.00693145	−	0.00400187i	0.503462	+	0.864018i	$0.332059\pi$
$600$	−6.92672	−	9.17714i	−0.282782	−	0.374655i
$601$	10.8454	−	6.26158i	0.442392	−	0.255415i	−0.262220	−	0.965008i	$-0.584455\pi$
$601$	10.8454	−	6.26158i	0.442392	−	0.255415i	0.704612	+	0.709593i	$0.251121\pi$
$602$	2.00946	+	5.56579i	0.0818997	+	0.226845i
$603$	23.2548	−	7.36962i	0.947009	−	0.300114i
$604$	−9.03595	−	0.183713i	−0.367668	−	0.00747516i
$605$		−	25.9160i		−	1.05363i
$606$	1.27502	+	1.61971i	0.0517943	+	0.0657963i
$607$	12.6579			0.513769			0.256884	−	0.966442i	$-0.417304\pi$
$607$	12.6579			0.513769			0.256884	+	0.966442i	$0.417304\pi$
$608$	2.20753	−	6.82980i	0.0895270	−	0.276985i
$609$	24.4859	+	14.5816i	0.992220	+	0.590877i
$610$	16.7423	−	4.30418i	0.677875	−	0.174271i
$611$	−15.8566	+	9.15479i	−0.641488	+	0.370363i
$612$	−25.7023	+	27.0081i	−1.03895	+	1.09174i
$613$	8.67478	−	15.0252i	0.350371	−	0.606861i	−0.635943	−	0.771736i	$-0.719389\pi$
$613$	8.67478	−	15.0252i	0.350371	−	0.606861i	0.986314	+	0.164875i	$0.0527221\pi$
$614$	−4.00107	−	4.08324i	−0.161470	−	0.164786i
$615$	21.9520	+	16.0712i	0.885190	+	0.648053i
$616$	6.65665	−	33.2734i	0.268204	−	1.34062i
$617$	−16.7643	+	29.0366i	−0.674906	+	1.16897i	0.301591	+	0.953437i	$0.402482\pi$
$617$	−16.7643	+	29.0366i	−0.674906	+	1.16897i	−0.976496	+	0.215533i	$0.930851\pi$
$618$	10.0323	−	7.89732i	0.403557	−	0.317677i
$619$	−29.8761			−1.20082			−0.600411	−	0.799692i	$-0.704996\pi$
$619$	−29.8761			−1.20082			−0.600411	+	0.799692i	$0.704996\pi$
$620$	−7.33032	−	13.3144i	−0.294393	−	0.534719i
$621$	40.6511	+	13.6998i	1.63127	+	0.549755i
$622$	−6.23643	+	22.3629i	−0.250058	+	0.896672i
$623$	−6.14463	−	2.80883i	−0.246179	−	0.112533i
$624$	−9.22772	+	11.5852i	−0.369404	+	0.463780i
$625$	−31.2266			−1.24906
$626$	7.45583	+	29.0015i	0.297995	+	1.15913i
$627$	4.02021	+	9.11852i	0.160552	+	0.364159i
$628$	−9.69626	−	17.6117i	−0.386923	−	0.702785i
$629$		−	18.3473i		−	0.731553i
$630$	28.0965	+	11.6751i	1.11939	+	0.465147i
$631$		−	33.1323i		−	1.31898i	−0.751714	−	0.659489i	$-0.770773\pi$
$631$		−	33.1323i		−	1.31898i	0.751714	−	0.659489i	$-0.229227\pi$
$632$	7.29494	−	1.71812i	0.290177	−	0.0683431i
$633$	0.133219	−	0.181966i	0.00529497	−	0.00723252i
$634$	41.8601	−	10.7616i	1.66248	−	0.427397i
$635$	4.86354			0.193004
$636$	7.16372	−	9.37897i	0.284060	−	0.371900i
$637$	11.3165	−	9.79156i	0.448377	−	0.387956i
$638$	38.4144	+	10.7128i	1.52084	+	0.424122i
$639$	4.54129	−	20.6271i	0.179651	−	0.815997i
$640$	−20.0879	−	23.1709i	−0.794042	−	0.915911i
$641$	18.0085			0.711293			0.355647	−	0.934621i	$-0.384261\pi$
$641$	18.0085			0.711293			0.355647	+	0.934621i	$0.384261\pi$
$642$	11.7337	−	29.3506i	0.463094	−	1.15838i
$643$	−23.9799	+	41.5344i	−0.945676	+	1.63796i	−0.191284	+	0.981535i	$0.561265\pi$
$643$	−23.9799	+	41.5344i	−0.945676	+	1.63796i	−0.754392	+	0.656424i	$0.772068\pi$
$644$	24.5981	+	36.1011i	0.969299	+	1.42258i
$645$	−6.79380	+	2.99528i	−0.267506	+	0.117939i
$646$	7.96421	−	7.80394i	0.313348	−	0.307042i
$647$	22.5385	−	39.0378i	0.886079	−	1.53473i	0.0416069	−	0.999134i	$-0.486752\pi$
$647$	22.5385	−	39.0378i	0.886079	−	1.53473i	0.844472	−	0.535600i	$-0.179914\pi$
$648$	24.1516	−	8.04374i	0.948763	−	0.315988i
$649$	−15.7806	+	9.11092i	−0.619442	+	0.357635i
$650$	−1.76672	−	6.87215i	−0.0692966	−	0.269548i
$651$	11.0389	+	6.57379i	0.432650	+	0.257647i
$652$	15.0706	+	27.3734i	0.590210	+	1.07202i
$653$	26.7758			1.04782			0.523910	−	0.851774i	$-0.324473\pi$
$653$	26.7758			1.04782			0.523910	+	0.851774i	$0.324473\pi$
$654$	4.35422	+	30.1806i	0.170263	+	1.18016i
$655$		−	23.3000i		−	0.910408i
$656$	19.5867	+	12.3963i	0.764733	+	0.483995i
$657$	−23.3316	−	21.3167i	−0.910251	−	0.831645i
$658$	24.4953	+	20.6624i	0.954927	+	0.805505i
$659$	10.2901	−	5.94100i	0.400846	−	0.231428i	−0.286003	−	0.958229i	$-0.592327\pi$
$659$	10.2901	−	5.94100i	0.400846	−	0.231428i	0.686849	+	0.726800i	$0.258993\pi$
$660$	42.2244	+	5.46365i	1.64358	+	0.212672i
$661$	9.13442	−	5.27376i	0.355288	−	0.205126i	−0.311724	−	0.950173i	$-0.600906\pi$
$661$	9.13442	−	5.27376i	0.355288	−	0.205126i	0.667012	+	0.745047i	$0.267573\pi$
$662$	−11.8061	−	45.9232i	−0.458859	−	1.78486i
$663$	−21.0532	+	9.28203i	−0.817640	+	0.360484i
$664$	−0.713528	−	0.214708i	−0.0276902	−	0.00833229i
$665$	−8.27576	−	3.78302i	−0.320920	−	0.146699i
$666$	−5.88076	+	11.0608i	−0.227875	+	0.428596i
$667$	−44.4630	+	25.6707i	−1.72161	+	0.993975i
$668$	−21.8658	−	13.2240i	−0.846013	−	0.511652i
$669$	−12.5619	+	5.53833i	−0.485671	+	0.214124i
$670$	−8.37309	+	30.0247i	−0.323481	+	1.15996i
$671$	−10.2244	+	17.7091i	−0.394708	+	0.683654i
$672$	24.5565	+	8.30526i	0.947288	+	0.320382i
$673$	−18.4043	−	31.8771i	−0.709432	−	1.22877i	−0.965068	−	0.261999i	$-0.915618\pi$
$673$	−18.4043	−	31.8771i	−0.709432	−	1.22877i	0.255636	−	0.966773i	$-0.417715\pi$
$674$	−16.0578	+	4.12820i	−0.618522	+	0.159012i
$675$	−3.89469	+	11.5566i	−0.149907	+	0.444815i
$676$	14.7692	−	8.13129i	0.568047	−	0.312742i
$677$	5.33404	+	3.07961i	0.205004	+	0.118359i	0.598987	−	0.800758i	$-0.295570\pi$
$677$	5.33404	+	3.07961i	0.205004	+	0.118359i	−0.393983	+	0.919118i	$0.628903\pi$
$678$	0.299757	+	2.07772i	0.0115121	+	0.0797944i
$679$	−37.3423	−	17.0699i	−1.43307	−	0.655084i
$680$	−10.9212	−	46.3702i	−0.418809	−	1.77822i
$681$	1.77933	−	16.3575i	0.0681842	−	0.626820i
$682$	17.3183	+	4.82960i	0.663150	+	0.184935i
$683$	4.66531	+	2.69352i	0.178513	+	0.103065i	0.586594	−	0.809881i	$-0.300469\pi$
$683$	4.66531	+	2.69352i	0.178513	+	0.103065i	−0.408081	+	0.912946i	$0.633802\pi$
$684$	−7.30264	+	2.15192i	−0.279223	+	0.0822808i
$685$		−	27.7125i		−	1.05884i
$686$	−22.8452	−	12.8100i	−0.872235	−	0.489088i
$687$	8.18349	+	0.890183i	0.312220	+	0.0339626i
$688$	−5.60251	+	2.93771i	−0.213594	+	0.111999i
$689$	6.30749	−	3.64163i	0.240296	−	0.138735i
$690$	−43.0692	+	33.9037i	−1.63962	+	1.29069i
$691$	−24.2923	+	42.0755i	−0.924122	+	1.60063i	−0.131155	+	0.991362i	$0.541869\pi$
$691$	−24.2923	+	42.0755i	−0.924122	+	1.60063i	−0.792967	+	0.609264i	$0.791465\pi$
$692$	−3.86554	+	6.39163i	−0.146946	+	0.242973i
$693$	−33.1256	+	14.0731i	−1.25834	+	0.534591i
$694$	−14.4448	−	4.02826i	−0.548316	−	0.152911i
$695$	0.185355	+	0.107015i	0.00703092	+	0.00405930i
$696$	−11.8823	+	28.0539i	−0.450398	+	1.06338i
$697$	18.0047	+	31.1850i	0.681975	+	1.18122i
$698$	−47.5041	−	13.2476i	−1.79806	−	0.501430i
$699$	24.0228	−	10.5913i	0.908626	−	0.400598i
$700$	−10.2631	+	6.99293i	−0.387909	+	0.264308i
$701$	43.3568			1.63756			0.818782	−	0.574105i	$-0.194650\pi$
$701$	43.3568			1.63756			0.818782	+	0.574105i	$0.194650\pi$
$702$	15.6672	+	1.15236i	0.591321	+	0.0434932i
$703$	1.87322	−	3.24451i	0.0706498	−	0.122369i
$704$	36.2081	+	2.21091i	1.36465	+	0.0833270i
$705$	−23.7525	+	32.4440i	−0.894569	+	1.22191i
$706$	−22.6607	+	22.2046i	−0.852845	+	0.835682i
$707$	1.81413	−	1.29085i	0.0682273	−	0.0485474i
$708$	−5.35572	−	12.8491i	−0.201280	−	0.482900i
$709$	−21.5939	+	37.4017i	−0.810974	+	1.40465i	0.101209	+	0.994865i	$0.467729\pi$
$709$	−21.5939	+	37.4017i	−0.810974	+	1.40465i	−0.912183	+	0.409783i	$0.865604\pi$
$710$	18.8882	+	19.2761i	0.708862	+	0.723420i
$711$	−5.86858	−	5.36179i	−0.220089	−	0.201083i
$712$	2.08119	−	6.91632i	0.0779961	−	0.259200i
$713$	−20.0451	+	11.5731i	−0.750696	+	0.433415i
$714$	27.7935	+	29.1417i	1.04014	+	1.09060i
$715$	22.7549	+	13.1376i	0.850987	+	0.491317i
$716$	23.8900	−	39.5019i	0.892810	−	1.47625i
$717$	−19.1714	+	26.1867i	−0.715971	+	0.977960i
$718$	21.9377	+	6.11784i	0.818708	+	0.228316i
$719$	18.5699	+	32.1641i	0.692542	+	1.19952i	0.971002	+	0.239070i	$0.0768426\pi$
$719$	18.5699	+	32.1641i	0.692542	+	1.19952i	−0.278460	+	0.960448i	$0.589824\pi$
$720$	−8.27891	+	31.4551i	−0.308537	+	1.17226i
$721$	−7.99533	−	11.2364i	−0.297762	−	0.418467i
$722$	−23.8187	+	6.12341i	−0.886439	+	0.227890i
$723$	−43.0578	−	4.68374i	−1.60134	−	0.174190i
$724$	8.96124	+	0.182194i	0.333042	+	0.00677118i
$725$	−7.29788	−	12.6403i	−0.271036	−	0.469449i
$726$	−18.4024	+	14.4862i	−0.682979	+	0.537635i
$727$	9.92195	+	17.1853i	0.367985	+	0.637369i	0.989250	−	0.146232i	$-0.0467145\pi$
$727$	9.92195	+	17.1853i	0.367985	+	0.637369i	−0.621265	+	0.783600i	$0.713381\pi$
$728$	12.0161	+	10.5613i	0.445348	+	0.391429i
$729$	−21.4924	−	16.3424i	−0.796017	−	0.605275i
$730$	39.1095	−	10.0544i	1.44751	−	0.372132i
$731$	−9.82725			−0.363474
$732$	−12.4147	−	9.48247i	−0.458862	−	0.350482i
$733$			25.8917i			0.956332i	0.878269	+	0.478166i	$0.158698\pi$
$733$			25.8917i			0.956332i	−0.878269	+	0.478166i	$0.841302\pi$
$734$	−14.2314	−	14.5237i	−0.525290	−	0.536078i
$735$	14.0653	−	29.7014i	0.518808	−	1.09555i
$736$	−34.6574	+	31.3024i	−1.27749	+	1.15382i
$737$	−18.4360	−	31.9321i	−0.679099	−	1.17623i
$738$	−0.858650	−	24.5710i	−0.0316073	−	0.904471i
$739$	31.6257	+	18.2591i	1.16337	+	0.671673i	0.952110	−	0.305757i	$-0.0989095\pi$
$739$	31.6257	+	18.2591i	1.16337	+	0.671673i	0.211262	+	0.977430i	$0.432243\pi$
$740$	−7.71975	−	14.0217i	−0.283784	−	0.515449i
$741$	−4.67071	−	0.508070i	−0.171583	−	0.0186644i
$742$	−9.74386	−	8.21919i	−0.357708	−	0.301736i
$743$	−15.7067	−	9.06825i	−0.576222	−	0.332682i	0.183409	−	0.983037i	$-0.441287\pi$
$743$	−15.7067	−	9.06825i	−0.576222	−	0.332682i	−0.759630	+	0.650355i	$0.774620\pi$
$744$	−5.35687	+	12.6475i	−0.196392	+	0.463679i
$745$			48.1713i			1.76486i
$746$	5.69597	+	5.81295i	0.208544	+	0.212827i
$747$	0.238759	+	0.753404i	0.00873575	+	0.0275656i
$748$	48.2203	+	29.1627i	1.76311	+	1.06629i
$749$	−31.0513	−	14.1942i	−1.13459	−	0.518644i
$750$	10.8953	+	13.8407i	0.397839	+	0.505390i
$751$			7.92615i			0.289229i	0.989488	+	0.144615i	$0.0461942\pi$
$751$			7.92615i			0.289229i	−0.989488	+	0.144615i	$0.953806\pi$
$752$	−18.3212	+	28.9482i	−0.668104	+	1.05563i
$753$	1.04904	−	9.64389i	0.0382292	−	0.351443i
$754$	−13.4293	+	13.1591i	−0.489067	+	0.479224i
$755$	−12.2486			−0.445774
$756$	−7.41480	−	26.4768i	−0.269674	−	0.962952i
$757$	11.8910			0.432184			0.216092	−	0.976373i	$-0.430669\pi$
$757$	11.8910			0.432184			0.216092	+	0.976373i	$0.430669\pi$
$758$	−5.12891	+	5.02569i	−0.186290	+	0.182541i
$759$	7.01167	−	64.4586i	0.254508	−	2.33970i
$760$	2.80301	−	9.31510i	0.101676	−	0.337894i
$761$			18.1299i			0.657207i	0.944468	+	0.328603i	$0.106578\pi$
$761$			18.1299i			0.657207i	−0.944468	+	0.328603i	$0.893422\pi$
$762$	−2.71857	−	3.45351i	−0.0984835	−	0.125107i
$763$	32.7883	−	3.11899i	1.18702	−	0.112915i
$764$	12.7629	−	21.1034i	0.461746	−	0.763494i
$765$	−34.0822	+	37.3036i	−1.23224	+	1.34871i
$766$	15.6809	+	16.0029i	0.566573	+	0.578209i
$767$		−	8.59081i		−	0.310196i
$768$	−5.22472	+	27.2158i	−0.188531	+	0.982067i
$769$	−20.1896	−	11.6565i	−0.728055	−	0.420343i	0.0896550	−	0.995973i	$-0.471424\pi$
$769$	−20.1896	−	11.6565i	−0.728055	−	0.420343i	−0.817710	+	0.575630i	$0.804757\pi$
$770$	8.10302	−	45.2683i	0.292013	−	1.63136i
$771$	5.17896	+	0.563356i	0.186516	+	0.0202888i
$772$	22.5192	−	12.3981i	0.810483	−	0.446217i
$773$	−17.4842	−	10.0945i	−0.628862	−	0.363074i	0.151449	−	0.988465i	$-0.451606\pi$
$773$	−17.4842	−	10.0945i	−0.628862	−	0.363074i	−0.780311	+	0.625391i	$0.784939\pi$
$774$	5.92442	+	3.14988i	0.212949	+	0.113220i
$775$	−3.29008	−	5.69859i	−0.118183	−	0.204699i
$776$	12.6479	−	42.0321i	0.454033	−	1.50886i
$777$	11.6254	+	6.92302i	0.417058	+	0.248362i
$778$	−23.6422	−	24.1278i	−0.847615	−	0.865023i
$779$			7.35296i			0.263447i
$780$	−12.1843	+	15.9520i	−0.436267	+	0.571174i
$781$	−31.9242			−1.14234
$782$	−70.2637	+	18.0637i	−2.51262	+	0.645957i
$783$	31.6798	−	6.37379i	1.13215	−	0.227781i
$784$	10.2446	−	26.0586i	0.365879	−	0.930663i
$785$	−13.6235	−	23.5965i	−0.486243	−	0.842197i
$786$	−16.5449	+	13.0240i	−0.590137	+	0.464551i
$787$	15.0227	+	26.0200i	0.535500	+	0.927513i	0.999139	+	0.0414891i	$0.0132102\pi$
$787$	15.0227	+	26.0200i	0.535500	+	0.927513i	−0.463639	+	0.886024i	$0.653456\pi$
$788$	0.413667	−	20.3463i	0.0147363	−	0.724807i
$789$	20.6610	+	2.24746i	0.735551	+	0.0800117i
$790$	9.83720	−	2.52899i	0.349992	−	0.0899775i
$791$	2.25724	−	0.214720i	0.0802582	−	0.00763456i
$792$	−19.7226	−	33.0368i	−0.700810	−	1.17391i
$793$	−4.82035	−	8.34910i	−0.171176	−	0.296485i
$794$	−44.6096	−	12.4404i	−1.58314	−	0.441495i
$795$	9.44836	−	12.9057i	0.335099	−	0.457719i
$796$	−16.5227	−	9.99262i	−0.585632	−	0.354179i
$797$	16.4999	+	9.52621i	0.584456	+	0.337436i	0.762902	−	0.646514i	$-0.223774\pi$
$797$	16.4999	+	9.52621i	0.584456	+	0.337436i	−0.178447	+	0.983950i	$0.557107\pi$
$798$	1.93965	+	7.99105i	0.0686630	+	0.282880i
$799$	−46.0899	+	26.6100i	−1.63054	+	0.941394i
$800$	−8.89889	−	9.85269i	−0.314623	−	0.348345i
$801$	−7.30285	+	2.31433i	−0.258033	+	0.0817727i
$802$	−24.0354	−	24.5291i	−0.848721	−	0.866152i
$803$	−23.8839	+	41.3681i	−0.842844	+	1.45985i
$804$	26.0003	−	10.8373i	0.916959	−	0.382203i
$805$	34.3245	+	48.2388i	1.20978	+	1.70020i
$806$	−6.05430	+	5.93246i	−0.213254	+	0.208962i
$807$	−15.0846	+	20.6044i	−0.531005	+	0.725311i
$808$	1.63099	+	1.73362i	0.0573779	+	0.0609884i
$809$	24.9771	−	43.2616i	0.878148	−	1.52100i	0.0247776	−	0.999693i	$-0.492112\pi$
$809$	24.9771	−	43.2616i	0.878148	−	1.52100i	0.853371	−	0.521305i	$-0.174554\pi$
$810$	32.5034	−	11.5645i	1.14205	−	0.406335i
$811$	−53.0225			−1.86187			−0.930936	−	0.365182i	$-0.881007\pi$
$811$	−53.0225			−1.86187			−0.930936	+	0.365182i	$0.881007\pi$
$812$	29.6446	+	14.2866i	1.04032	+	0.501363i
$813$	2.51495	−	1.10880i	0.0882031	−	0.0388873i
$814$	18.2383	+	5.08618i	0.639252	+	0.178270i
$815$	21.1745	+	36.6754i	0.741712	+	1.28468i
$816$	−26.8220	+	33.6745i	−0.938957	+	1.17884i
$817$	−1.73784	−	1.00334i	−0.0607993	−	0.0351025i
$818$	7.40196	+	2.06421i	0.258804	+	0.0721734i
$819$	2.06270	−	16.8424i	0.0720767	−	0.588521i
$820$	26.8812	+	16.2572i	0.938733	+	0.567728i
$821$	−11.7990	+	20.4365i	−0.411790	+	0.713240i	−0.995086	−	0.0990192i	$-0.968429\pi$
$821$	−11.7990	+	20.4365i	−0.411790	+	0.713240i	0.583296	+	0.812260i	$0.301763\pi$
$822$	−19.6781	+	15.4905i	−0.686353	+	0.540292i
$823$	−26.7421	+	15.4396i	−0.932171	+	0.538189i	−0.887498	−	0.460812i	$-0.847558\pi$
$823$	−26.7421	+	15.4396i	−0.932171	+	0.538189i	−0.0446735	+	0.999002i	$0.514225\pi$
$824$	10.7378	−	10.1021i	0.374068	−	0.351923i
$825$	18.3248	+	1.99333i	0.637988	+	0.0693990i
$826$	−14.1425	+	5.10598i	−0.492080	+	0.177660i
$827$		−	14.7708i		−	0.513633i	−0.966460	−	0.256816i	$-0.917326\pi$
$827$		−	14.7708i		−	0.513633i	0.966460	−	0.256816i	$-0.0826735\pi$
$828$	48.1488	+	11.6315i	1.67329	+	0.404222i
$829$	−36.5377	−	21.0950i	−1.26901	−	0.732661i	−0.294206	−	0.955742i	$-0.595055\pi$
$829$	−36.5377	−	21.0950i	−1.26901	−	0.732661i	−0.974800	+	0.223081i	$0.928388\pi$
$830$	−0.972734	−	0.271270i	−0.0337641	−	0.00941591i
$831$	−4.55941	+	41.9149i	−0.158164	+	1.45401i
$832$	−9.43799	+	14.2624i	−0.327203	+	0.494459i
$833$	32.8935	−	28.4609i	1.13969	−	0.986112i
$834$	−0.0276187	−	0.191435i	−0.000956358	−	0.00662886i
$835$	−29.9921	−	17.3160i	−1.03792	−	0.599244i
$836$	5.54978	+	10.0803i	0.191943	+	0.348635i
$837$	14.2821	−	2.87348i	0.493663	−	0.0993219i
$838$	−14.0892	+	3.62211i	−0.486702	+	0.125124i
$839$	16.9216	+	29.3092i	0.584200	+	1.01186i	0.994975	+	0.100127i	$0.0319250\pi$
$839$	16.9216	+	29.3092i	0.584200	+	1.01186i	−0.410774	+	0.911737i	$0.634742\pi$
$840$	33.5025	+	10.5770i	1.15595	+	0.364941i
$841$	−4.83773	+	8.37919i	−0.166818	+	0.288938i
$842$	−3.22642	+	11.5695i	−0.111190	+	0.398711i
$843$	−7.68799	+	3.38951i	−0.264788	+	0.116741i
$844$	0.134761	−	0.222826i	0.00463867	−	0.00767000i
$845$	19.7881	−	11.4247i	0.680731	−	0.393020i
$846$	36.3148	−	1.26904i	1.24853	−	0.0436306i
$847$	14.6660	+	20.6113i	0.503931	+	0.708212i
$848$	7.28787	−	11.5152i	0.250267	−	0.395432i
$849$	25.9457	−	11.4390i	0.890453	−	0.392586i
$850$	−5.13529	−	19.9751i	−0.176139	−	0.685141i
$851$	−21.1100	+	12.1879i	−0.723643	+	0.417796i
$852$	3.12968	−	24.1869i	0.107221	−	0.828631i
$853$	21.3822	−	12.3450i	0.732113	−	0.422686i	−0.0870815	−	0.996201i	$-0.527754\pi$
$853$	21.3822	−	12.3450i	0.732113	−	0.422686i	0.819195	+	0.573515i	$0.194421\pi$
$854$	−10.8796	+	12.8977i	−0.372291	+	0.441352i
$855$	−9.83569	+	3.11700i	−0.336373	+	0.106599i
$856$	10.5171	−	34.9510i	0.359468	−	1.19460i
$857$			24.6857i			0.843247i	0.906771	+	0.421624i	$0.138540\pi$
$857$			24.6857i			0.843247i	−0.906771	+	0.421624i	$0.861460\pi$
$858$	−3.39059	−	23.5014i	−0.115753	−	0.802323i
$859$	18.2625			0.623108			0.311554	−	0.950228i	$-0.399150\pi$
$859$	18.2625			0.623108			0.311554	+	0.950228i	$0.399150\pi$
$860$	−7.51039	+	4.13489i	−0.256102	+	0.140999i
$861$	−26.5535	−	0.358819i	−0.904941	−	0.0122285i
$862$	1.34782	+	5.24272i	0.0459070	+	0.178568i
$863$	25.7806	−	14.8844i	0.877582	−	0.506672i	0.00772143	−	0.999970i	$-0.497542\pi$
$863$	25.7806	−	14.8844i	0.877582	−	0.506672i	0.869860	+	0.493298i	$0.164209\pi$
$864$	26.9633	−	11.7038i	0.917312	−	0.398170i
$865$	−5.06166	+	8.76706i	−0.172102	+	0.298089i
$866$	34.8972	−	34.1949i	1.18586	−	1.16199i
$867$	−34.2524	+	15.1013i	−1.16327	+	0.512868i
$868$	13.3646	+	6.44081i	0.453624	+	0.218615i
$869$	−6.00750	+	10.4053i	−0.203791	+	0.352976i
$870$	−15.3275	+	38.3400i	−0.519651	+	1.29985i
$871$	17.3836			0.589020
$872$	8.07197	+	34.2727i	0.273352	+	1.16062i
$873$	−44.3811	+	14.0647i	−1.50207	+	0.476018i
$874$	−14.2696	−	3.97942i	−0.482677	−	0.134606i
$875$	15.5020	−	11.0305i	0.524063	−	0.372899i
$876$	−29.0005	−	22.1508i	−0.979836	−	0.748406i
$877$	17.5057			0.591126			0.295563	−	0.955323i	$-0.404493\pi$
$877$	17.5057			0.591126			0.295563	+	0.955323i	$0.404493\pi$
$878$	44.3475	−	11.4010i	1.49665	−	0.384767i
$879$	26.8808	−	36.7170i	0.906667	−	1.23844i
$880$	49.1224	+	1.99827i	1.65592	+	0.0673617i
$881$		−	26.9019i		−	0.906347i	−0.891422	−	0.453174i	$-0.850292\pi$
$881$		−	26.9019i		−	0.906347i	0.891422	−	0.453174i	$-0.149708\pi$
$882$	−28.9525	+	6.61465i	−0.974881	+	0.222727i
$883$			45.9843i			1.54749i	0.633495	+	0.773747i	$0.281620\pi$
$883$			45.9843i			1.54749i	−0.633495	+	0.773747i	$0.718380\pi$
$884$	−23.2739	+	12.8136i	−0.782784	+	0.430967i
$885$	−7.61090	−	17.2628i	−0.255838	−	0.580284i
$886$	−4.40564	−	17.1370i	−0.148011	−	0.575727i
$887$	−8.36041			−0.280715			−0.140358	−	0.990101i	$-0.544825\pi$
$887$	−8.36041			−0.280715			−0.140358	+	0.990101i	$0.544825\pi$
$888$	−5.64145	+	13.3194i	−0.189315	+	0.446969i
$889$	−3.86803	+	2.75231i	−0.129730	+	0.0923097i
$890$	2.62945	−	9.42885i	0.0881395	−	0.316056i
$891$	−17.1388	+	37.0367i	−0.574172	+	1.24078i
$892$	−13.8869	+	7.64551i	−0.464967	+	0.255991i
$893$	−10.8673			−0.363661
$894$	34.2055	−	26.9263i	1.14400	−	0.900550i
$895$	31.2823	−	54.1826i	1.04565	−	1.81112i
$896$	29.0887	+	7.06024i	0.971786	+	0.235866i
$897$	24.6652	+	18.0576i	0.823547	+	0.602924i
$898$	7.71105	+	7.86942i	0.257321	+	0.262606i
$899$	−8.71797	+	15.1000i	−0.290761	+	0.503612i
$900$	−3.30669	+	13.6881i	−0.110223	+	0.456271i
$901$	18.3338	−	10.5850i	0.610789	−	0.352639i
$902$	−35.9910	+	9.25272i	−1.19837	+	0.308082i
$903$	3.70814	−	6.22684i	0.123399	−	0.207216i
$904$	0.555697	+	2.35943i	0.0184822	+	0.0784734i
$905$	12.1474			0.403792
$906$	6.84662	+	8.69753i	0.227464	+	0.288956i
$907$		−	43.3372i		−	1.43899i	−0.694499	−	0.719493i	$-0.744374\pi$
$907$		−	43.3372i		−	1.43899i	0.694499	−	0.719493i	$-0.255626\pi$
$908$	0.386203	−	18.9955i	0.0128166	−	0.630387i
$909$	0.542824	−	2.46558i	0.0180043	−	0.0817781i
$910$	16.5727	+	13.9794i	0.549378	+	0.463414i
$911$	47.4982	−	27.4231i	1.57368	−	0.908567i	0.577972	−	0.816056i	$-0.303844\pi$
$911$	47.4982	−	27.4231i	1.57368	−	0.908567i	0.995712	−	0.0925104i	$-0.0294891\pi$
$912$	−8.18127	+	3.21649i	−0.270909	+	0.106509i
$913$	1.03453	−	0.597286i	0.0342379	−	0.0197673i
$914$	52.4571	−	13.4859i	1.73513	−	0.446074i
$915$	−17.0830	−	12.5066i	−0.564747	−	0.413455i
$916$	9.50326	+	0.193214i	0.313997	+	0.00638396i
$917$	13.1857	+	18.5308i	0.435429	+	0.611941i
$918$	45.5395	+	3.34955i	1.50303	+	0.110552i
$919$	−34.3270	+	19.8187i	−1.13234	+	0.653759i	−0.944523	−	0.328444i	$-0.893476\pi$
$919$	−34.3270	+	19.8187i	−1.13234	+	0.653759i	−0.187821	+	0.982203i	$0.560142\pi$
$920$	−46.0980	+	43.3690i	−1.51981	+	1.42983i
$921$	−0.757150	+	6.96052i	−0.0249490	+	0.229357i
$922$	27.5943	+	7.69532i	0.908771	+	0.253432i
$923$	7.52544	−	13.0345i	0.247703	−	0.429034i
$924$	−36.6735	+	19.5498i	−1.20647	+	0.643142i
$925$	−3.46487	−	6.00133i	−0.113924	−	0.197323i
$926$	−8.55146	−	33.2633i	−0.281018	−	1.09310i
$927$	−15.2714	−	3.36217i	−0.501580	−	0.110428i
$928$	−10.8196	+	33.4746i	−0.355172	+	1.09886i
$929$	12.3198	+	7.11286i	0.404201	+	0.233365i	0.688295	−	0.725431i	$-0.258360\pi$
$929$	12.3198	+	7.11286i	0.404201	+	0.233365i	−0.284094	+	0.958796i	$0.591693\pi$
$930$	−6.91006	+	17.2847i	−0.226590	+	0.566788i
$931$	8.72265	−	1.67464i	0.285873	−	0.0548840i
$932$	26.5566	−	14.6209i	0.869891	−	0.478924i
$933$	26.0176	−	11.4707i	0.851777	−	0.375534i
$934$	11.5309	−	41.3483i	0.377304	−	1.35296i
$935$	66.1412	+	38.1867i	2.16305	+	1.24884i
$936$	18.1379	−	0.264885i	0.592855	−	0.00865802i
$937$		−	9.95411i		−	0.325187i	−0.986693	−	0.162593i	$-0.948014\pi$
$937$		−	9.95411i		−	0.325187i	0.986693	−	0.162593i	$-0.0519859\pi$
$938$	−10.3320	−	28.6174i	−0.337351	−	0.934392i
$939$	21.6643	−	29.5917i	0.706988	−	0.965690i
$940$	−24.0274	+	39.7291i	−0.783688	+	1.29582i
$941$	−13.7757	+	7.95338i	−0.449074	+	0.259273i	−0.707439	−	0.706775i	$-0.750150\pi$
$941$	−13.7757	+	7.95338i	−0.449074	+	0.259273i	0.258365	+	0.966047i	$0.416816\pi$
$942$	−9.14035	+	22.8635i	−0.297809	+	0.744934i
$943$	23.9206	−	41.4317i	0.778962	−	1.34920i
$944$	−7.46462	−	14.2358i	−0.242953	−	0.463336i
$945$	−10.7764	−	35.6714i	−0.350555	−	1.16039i
$946$	2.72428	−	9.76889i	0.0885741	−	0.317614i
$947$	39.4621	+	22.7834i	1.28234	+	0.740362i	0.977277	−	0.211968i	$-0.0679874\pi$
$947$	39.4621	+	22.7834i	1.28234	+	0.740362i	0.305068	+	0.952331i	$0.401321\pi$
$948$	−7.29449	−	5.57158i	−0.236914	−	0.180957i
$949$	−11.2602	−	19.5033i	−0.365522	−	0.633103i
$950$	1.13130	−	4.05668i	0.0367043	−	0.131616i
$951$	−42.7121	−	31.2698i	−1.38503	−	1.01399i
$952$	34.9270	+	30.6984i	1.13199	+	0.994941i
$953$	−18.2038			−0.589678			−0.294839	−	0.955547i	$-0.595266\pi$
$953$	−18.2038			−0.589678			−0.294839	+	0.955547i	$0.595266\pi$
$954$	−14.4454	+	0.504805i	−0.467689	+	0.0163437i
$955$	16.7122	−	28.9464i	0.540794	−	0.936683i
$956$	−19.3934	+	32.0668i	−0.627227	+	1.03711i
$957$	−19.7041	−	44.6922i	−0.636942	−	1.44469i
$958$	−21.8765	−	22.3258i	−0.706798	−	0.721314i
$959$	15.6827	+	22.0401i	0.506421	+	0.711712i
$960$	−6.32966	+	37.0210i	−0.204289	+	1.19485i
$961$	11.5697	−	20.0393i	0.373216	−	0.646429i
$962$	−6.37594	+	6.24763i	−0.205569	+	0.201432i
$963$	−36.9043	+	11.6952i	−1.18922	+	0.376874i
$964$	−50.0019	−	1.01660i	−1.61045	−	0.0327426i
$965$	30.1716	−	17.4196i	0.971258	−	0.560756i
$966$	15.0671	−	51.3373i	0.484776	−	1.65175i
$967$	−51.7544	−	29.8804i	−1.66431	−	0.960889i	−0.970621	−	0.240613i	$-0.922652\pi$
$967$	−51.7544	−	29.8804i	−1.66431	−	0.960889i	−0.693687	−	0.720276i	$-0.744015\pi$
$968$	−19.6966	+	18.5305i	−0.633071	+	0.595594i
$969$	−13.5762	−	1.47679i	−0.436132	−	0.0474415i
$970$	15.9798	−	57.3013i	0.513080	−	1.83983i
$971$	−13.8644	−	24.0138i	−0.444929	−	0.770640i	0.553118	−	0.833103i	$-0.313438\pi$
$971$	−13.8644	−	24.0138i	−0.444929	−	0.770640i	−0.998047	+	0.0624631i	$0.980104\pi$
$972$	−26.3802	−	16.6159i	−0.846144	−	0.532954i
$973$	−0.207976	+	0.0197837i	−0.00666739	+	0.000634236i
$974$	−0.734918	−	2.85867i	−0.0235483	−	0.0915976i
$975$	−5.13355	+	7.01202i	−0.164405	+	0.224564i
$976$	−15.2424	−	9.64681i	−0.487896	−	0.308787i
$977$	−1.63600	−	2.83364i	−0.0523403	−	0.0906561i	0.838668	−	0.544643i	$-0.183335\pi$
$977$	−1.63600	−	2.83364i	−0.0523403	−	0.0906561i	−0.891009	+	0.453987i	$0.850001\pi$
$978$	14.2066	−	35.5361i	0.454276	−	1.13632i
$979$	5.78957	+	10.0278i	0.185036	+	0.320491i
$980$	13.1634	−	35.5912i	0.420490	−	1.13692i
$981$	25.1905	−	27.5714i	0.804271	−	0.880289i
$982$	−5.49438	−	21.3719i	−0.175333	−	0.682005i
$983$	−36.6773			−1.16982			−0.584912	−	0.811096i	$-0.698871\pi$
$983$	−36.6773			−1.16982			−0.584912	+	0.811096i	$0.698871\pi$
$984$	−3.48183	−	28.1752i	−0.110997	−	0.898191i
$985$		−	27.5803i		−	0.878782i
$986$	−39.0347	+	38.2491i	−1.24312	+	1.21810i
$987$	0.530318	−	39.2448i	0.0168802	−	1.24918i
$988$	−5.42397	−	0.110276i	−0.172559	−	0.00350836i
$989$	6.52814	+	11.3071i	0.207583	+	0.359544i
$990$	−27.6339	−	44.2210i	−0.878263	−	1.40544i
$991$	−15.1697	−	8.75822i	−0.481881	−	0.278214i	0.239319	−	0.970941i	$-0.423076\pi$
$991$	−15.1697	−	8.75822i	−0.481881	−	0.278214i	−0.721200	+	0.692727i	$0.756409\pi$
$992$	−4.87779	+	15.0913i	−0.154870	+	0.479148i
$993$	−34.3050	+	46.8579i	−1.08863	+	1.48699i
$994$	−25.9305	−	4.64156i	−0.822466	−	0.147221i
$995$	−22.6633	−	13.0847i	−0.718476	−	0.414812i
$996$	0.351106	+	0.842352i	0.0111252	+	0.0266909i
$997$			15.7755i			0.499615i	0.968295	+	0.249808i	$0.0803674\pi$
$997$			15.7755i			0.499615i	−0.968295	+	0.249808i	$0.919633\pi$
$998$	−2.67578	+	2.62193i	−0.0847003	+	0.0829957i
$999$	15.0409	−	3.02613i	0.475872	−	0.0957426i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.n.b.31.12	✓	84
3.2	odd	2		756.2.n.b.199.31		84
4.3	odd	2	inner	252.2.n.b.31.40	yes	84
7.5	odd	6		252.2.bj.b.103.18	yes	84
9.2	odd	6		756.2.bj.b.451.25		84
9.7	even	3		252.2.bj.b.115.18	yes	84
12.11	even	2		756.2.n.b.199.3		84
21.5	even	6		756.2.bj.b.523.25		84
28.19	even	6		252.2.bj.b.103.17	yes	84
36.7	odd	6		252.2.bj.b.115.17	yes	84
36.11	even	6		756.2.bj.b.451.26		84
63.47	even	6		756.2.n.b.19.3		84
63.61	odd	6	inner	252.2.n.b.187.40	yes	84
84.47	odd	6		756.2.bj.b.523.26		84
252.47	odd	6		756.2.n.b.19.31		84
252.187	even	6	inner	252.2.n.b.187.12	yes	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.n.b.31.12	✓	84	1.1	even	1	trivial
252.2.n.b.31.40	yes	84	4.3	odd	2	inner
252.2.n.b.187.12	yes	84	252.187	even	6	inner
252.2.n.b.187.40	yes	84	63.61	odd	6	inner
252.2.bj.b.103.17	yes	84	28.19	even	6
252.2.bj.b.103.18	yes	84	7.5	odd	6
252.2.bj.b.115.17	yes	84	36.7	odd	6
252.2.bj.b.115.18	yes	84	9.7	even	3
756.2.n.b.19.3		84	63.47	even	6
756.2.n.b.19.31		84	252.47	odd	6
756.2.n.b.199.3		84	12.11	even	2
756.2.n.b.199.31		84	3.2	odd	2
756.2.bj.b.451.25		84	9.2	odd	6
756.2.bj.b.451.26		84	36.11	even	6
756.2.bj.b.523.25		84	21.5	even	6
756.2.bj.b.523.26		84	84.47	odd	6

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.n (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.989784 - 1.01011i) q^{2} +(-0.187304 + 1.72189i) q^{3} +(-0.0406542 + 1.99959i) q^{4} +2.71053i q^{5} +(1.92470 - 1.51511i) q^{6} +(-1.53391 - 2.15572i) q^{7} +(2.06005 - 1.93809i) q^{8} +(-2.92983 - 0.645035i) q^{9} +O(q^{10})\)	\(q+(-0.989784 - 1.01011i) q^{2} +(-0.187304 + 1.72189i) q^{3} +(-0.0406542 + 1.99959i) q^{4} +2.71053i q^{5} +(1.92470 - 1.51511i) q^{6} +(-1.53391 - 2.15572i) q^{7} +(2.06005 - 1.93809i) q^{8} +(-2.92983 - 0.645035i) q^{9} +(2.73794 - 2.68284i) q^{10} +4.53445i q^{11} +(-3.43546 - 0.444533i) q^{12} +(-1.85139 - 1.06890i) q^{13} +(-0.659278 + 3.68312i) q^{14} +(-4.66725 - 0.507693i) q^{15} +(-3.99669 - 0.162583i) q^{16} +(-5.38138 - 3.10694i) q^{17} +(2.24835 + 3.59791i) q^{18} +(-0.634425 - 1.09886i) q^{19} +(-5.41994 - 0.110195i) q^{20} +(3.99922 - 2.23746i) q^{21} +(4.58030 - 4.48813i) q^{22} +8.25563i q^{23} +(2.95134 + 3.91019i) q^{24} -2.34698 q^{25} +(0.752765 + 2.92809i) q^{26} +(1.65945 - 4.92405i) q^{27} +(4.37291 - 2.97955i) q^{28} +(3.10948 + 5.38578i) q^{29} +(4.10674 + 5.21695i) q^{30} +(1.40184 + 2.42805i) q^{31} +(3.79164 + 4.19803i) q^{32} +(-7.80784 - 0.849320i) q^{33} +(2.18804 + 8.51100i) q^{34} +(5.84314 - 4.15771i) q^{35} +(1.40891 - 5.83223i) q^{36} +(1.47631 + 2.55705i) q^{37} +(-0.482025 + 1.72847i) q^{38} +(2.18730 - 2.98768i) q^{39} +(5.25326 + 5.58382i) q^{40} +(-5.01860 - 2.89749i) q^{41} +(-6.21845 - 1.82507i) q^{42} +(1.36962 - 0.790750i) q^{43} +(-9.06702 - 0.184344i) q^{44} +(1.74839 - 7.94141i) q^{45} +(8.33912 - 8.17130i) q^{46} +(4.28235 - 7.41724i) q^{47} +(1.02855 - 6.85143i) q^{48} +(-2.29424 + 6.61335i) q^{49} +(2.32300 + 2.37071i) q^{50} +(6.35777 - 8.68422i) q^{51} +(2.21262 - 3.65855i) q^{52} +(-1.70345 + 2.95046i) q^{53} +(-6.61634 + 3.19751i) q^{54} -12.2908 q^{55} +(-7.33791 - 1.46802i) q^{56} +(2.01094 - 0.886592i) q^{57} +(2.36253 - 8.47168i) q^{58} +(2.00927 + 3.48016i) q^{59} +(1.20492 - 9.31192i) q^{60} +(3.90547 + 2.25482i) q^{61} +(1.06509 - 3.81926i) q^{62} +(3.10359 + 7.30532i) q^{63} +(0.487582 - 7.98513i) q^{64} +(2.89728 - 5.01824i) q^{65} +(6.87017 + 8.72744i) q^{66} +(-7.04212 + 4.06577i) q^{67} +(6.43137 - 10.6342i) q^{68} +(-14.2153 - 1.54631i) q^{69} +(-9.98320 - 1.78699i) q^{70} +7.04037i q^{71} +(-7.28573 + 4.34949i) q^{72} +(9.12307 + 5.26721i) q^{73} +(1.12167 - 4.02217i) q^{74} +(0.439598 - 4.04125i) q^{75} +(2.22305 - 1.22391i) q^{76} +(9.77499 - 6.95543i) q^{77} +(-5.18285 + 0.747740i) q^{78} +(2.29472 + 1.32486i) q^{79} +(0.440687 - 10.8332i) q^{80} +(8.16786 + 3.77969i) q^{81} +(2.04054 + 7.93724i) q^{82} +(-0.131722 - 0.228149i) q^{83} +(4.31140 + 8.08776i) q^{84} +(8.42146 - 14.5864i) q^{85} +(-2.15437 - 0.600797i) q^{86} +(-9.85615 + 4.34542i) q^{87} +(8.78819 + 9.34117i) q^{88} +(2.21148 - 1.27680i) q^{89} +(-9.75224 + 6.09421i) q^{90} +(0.535616 + 5.63066i) q^{91} +(-16.5079 - 0.335626i) q^{92} +(-4.44342 + 1.95903i) q^{93} +(-11.7309 + 3.01582i) q^{94} +(2.97848 - 1.71963i) q^{95} +(-7.93875 + 5.74249i) q^{96} +(13.4397 - 7.75940i) q^{97} +(8.95103 - 4.22835i) q^{98} +(2.92488 - 13.2852i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9}+O(q^{10}) \) 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9	\( 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9} - 18 q^{10} + 9 q^{12} - 18 q^{13} - 25 q^{14} - 7 q^{16} + 6 q^{17} - 13 q^{18} + 24 q^{20} + 4 q^{21} + 6 q^{22} + 6 q^{24} - 32 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 14 q^{30} + 9 q^{32} - 6 q^{33} + 24 q^{34} - 38 q^{36} + 2 q^{37} - 6 q^{41} + 7 q^{42} - 13 q^{44} - 18 q^{45} + 10 q^{46} - 9 q^{48} + 2 q^{49} - 17 q^{50} - 2 q^{53} - 42 q^{54} - 32 q^{56} + 6 q^{57} + 26 q^{58} + 8 q^{60} - 24 q^{61} - 8 q^{64} + 50 q^{65} + 27 q^{66} + 18 q^{69} - 4 q^{70} - 7 q^{72} + 30 q^{73} + 46 q^{74} + 46 q^{77} + 15 q^{78} + 3 q^{80} - 26 q^{81} - 18 q^{82} + 29 q^{84} - 50 q^{85} + 18 q^{86} - 2 q^{88} - 102 q^{89} + 39 q^{90} + 28 q^{92} - 24 q^{93} + 3 q^{94} - 30 q^{96} - 6 q^{97} + 21 q^{98}+O(q^{100}) \) 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9 - 18 * q^10 + 9 * q^12 - 18 * q^13 - 25 * q^14 - 7 * q^16 + 6 * q^17 - 13 * q^18 + 24 * q^20 + 4 * q^21 + 6 * q^22 + 6 * q^24 - 32 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 14 * q^30 + 9 * q^32 - 6 * q^33 + 24 * q^34 - 38 * q^36 + 2 * q^37 - 6 * q^41 + 7 * q^42 - 13 * q^44 - 18 * q^45 + 10 * q^46 - 9 * q^48 + 2 * q^49 - 17 * q^50 - 2 * q^53 - 42 * q^54 - 32 * q^56 + 6 * q^57 + 26 * q^58 + 8 * q^60 - 24 * q^61 - 8 * q^64 + 50 * q^65 + 27 * q^66 + 18 * q^69 - 4 * q^70 - 7 * q^72 + 30 * q^73 + 46 * q^74 + 46 * q^77 + 15 * q^78 + 3 * q^80 - 26 * q^81 - 18 * q^82 + 29 * q^84 - 50 * q^85 + 18 * q^86 - 2 * q^88 - 102 * q^89 + 39 * q^90 + 28 * q^92 - 24 * q^93 + 3 * q^94 - 30 * q^96 - 6 * q^97 + 21 * q^98

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