LMFDB - Embedded newform 920.2.bb.a.11.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [920,2,Mod(11,920)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(920, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 11, 0, 9]))

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

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

chi := DirichletCharacter("920.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 920 = 2^{3} \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	920.bb (of order $22$, degree $10$, 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:	$7.34623698596$
Analytic rank:	$0$
Dimension:	$480$
Relative dimension:	$48$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			11.7
Character	$\chi$	$=$	920.11
Dual form			920.2.bb.a.251.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.30481 - 0.545420i) q^{2} +(0.319837 - 2.22451i) q^{3} +(1.40503 + 1.42333i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(-1.63062 + 2.72811i) q^{6} +(0.470129 + 0.542558i) q^{7} +(-1.05698 - 2.62351i) q^{8} +(-1.96769 - 0.577767i) q^{9} +(1.40561 + 0.155720i) q^{10} +(0.0968928 - 0.150768i) q^{11} +(3.61561 - 2.67029i) q^{12} +(4.77506 + 4.13762i) q^{13} +(-0.317505 - 0.964351i) q^{14} +(0.319837 + 2.22451i) q^{15} +(-0.0517542 + 3.99967i) q^{16} +(0.839909 - 0.383573i) q^{17} +(2.25233 + 1.82709i) q^{18} +(-0.153192 - 0.0699606i) q^{19} +(-1.74912 - 0.969834i) q^{20} +(1.35729 - 0.872280i) q^{21} +(-0.208658 + 0.143876i) q^{22} +(4.51547 - 1.61572i) q^{23} +(-6.17409 + 1.51218i) q^{24} +(0.841254 - 0.540641i) q^{25} +(-3.97379 - 8.00320i) q^{26} +(0.886208 - 1.94052i) q^{27} +(-0.111693 + 1.43146i) q^{28} +(4.18618 - 1.91177i) q^{29} +(0.795969 - 3.07700i) q^{30} +(-5.97499 + 0.859074i) q^{31} +(2.24903 - 5.19056i) q^{32} +(-0.304396 - 0.263761i) q^{33} +(-1.30513 + 0.0423860i) q^{34} +(-0.603942 - 0.388130i) q^{35} +(-1.94232 - 3.61246i) q^{36} +(10.1890 + 2.99176i) q^{37} +(0.161728 + 0.174839i) q^{38} +(10.7314 - 9.29884i) q^{39} +(1.75330 + 2.21945i) q^{40} +(-3.27821 + 0.962568i) q^{41} +(-2.24676 + 0.397861i) q^{42} +(-0.788426 - 0.113359i) q^{43} +(0.350731 - 0.0739238i) q^{44} +2.05076 q^{45} +(-6.77305 - 0.354631i) q^{46} -0.573162i q^{47} +(8.88076 + 1.39437i) q^{48} +(0.922856 - 6.41861i) q^{49} +(-1.39255 + 0.246595i) q^{50} +(-0.584631 - 1.99107i) q^{51} +(0.819925 + 12.6100i) q^{52} +(2.71012 + 3.12764i) q^{53} +(-2.21473 + 2.04865i) q^{54} +(-0.0504917 + 0.171959i) q^{55} +(0.926486 - 1.80686i) q^{56} +(-0.204625 + 0.318403i) q^{57} +(-6.50487 + 0.211256i) q^{58} +(5.33984 - 6.16250i) q^{59} +(-2.71684 + 3.58076i) q^{60} +(1.26232 + 8.77960i) q^{61} +(8.26476 + 2.13795i) q^{62} +(-0.611598 - 1.33921i) q^{63} +(-5.76557 + 5.54601i) q^{64} +(-5.74734 - 2.62472i) q^{65} +(0.253317 + 0.510180i) q^{66} +(0.841448 + 1.30932i) q^{67} +(1.72605 + 0.656536i) q^{68} +(-2.14997 - 10.5615i) q^{69} +(0.576333 + 0.835836i) q^{70} +(-5.17146 - 8.04695i) q^{71} +(0.564044 + 5.77294i) q^{72} +(-0.463174 + 1.01421i) q^{73} +(-11.6629 - 9.46094i) q^{74} +(-0.933600 - 2.04430i) q^{75} +(-0.115663 - 0.316341i) q^{76} +(0.127353 - 0.0183105i) q^{77} +(-19.0742 + 6.28004i) q^{78} +(-3.93088 + 4.53647i) q^{79} +(-1.07718 - 3.85223i) q^{80} +(-9.20892 - 5.91821i) q^{81} +(4.80242 + 0.532034i) q^{82} +(2.87550 - 9.79305i) q^{83} +(3.14859 + 0.706298i) q^{84} +(-0.697821 + 0.604666i) q^{85} +(0.966915 + 0.577934i) q^{86} +(-2.91386 - 9.92368i) q^{87} +(-0.497955 - 0.0948395i) q^{88} +(-7.00700 - 1.00745i) q^{89} +(-2.67585 - 1.11853i) q^{90} +4.53596i q^{91} +(8.64409 + 4.15688i) q^{92} +13.5662i q^{93} +(-0.312614 + 0.747865i) q^{94} +(0.166697 + 0.0239674i) q^{95} +(-10.8272 - 6.66312i) q^{96} +(-5.05401 - 17.2124i) q^{97} +(-4.70498 + 7.87169i) q^{98} +(-0.277764 + 0.240684i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 480 q + 2 q^{2} - 4 q^{4} - 48 q^{5} + 5 q^{6} - q^{8} - 48 q^{9} + 2 q^{10} + 3 q^{12} + 32 q^{16} + 7 q^{18} - 4 q^{20} + 8 q^{21} + 4 q^{23} + 2 q^{24} - 48 q^{25} + 7 q^{26} + 12 q^{27} + 5 q^{30}+ \cdots - 98 q^{98}+O(q^{100}) $ 480 * q + 2 * q^2 - 4 * q^4 - 48 * q^5 + 5 * q^6 - q^8 - 48 * q^9 + 2 * q^10 + 3 * q^12 + 32 * q^16 + 7 * q^18 - 4 * q^20 + 8 * q^21 + 4 * q^23 + 2 * q^24 - 48 * q^25 + 7 * q^26 + 12 * q^27 + 5 * q^30 - 118 * q^32 - 23 * q^34 + 54 * q^36 + 8 * q^37 - 65 * q^38 + 43 * q^40 - 10 * q^42 - q^44 + 480 * q^45 - 184 * q^46 - 44 * q^48 - 48 * q^49 - 9 * q^50 - 7 * q^52 + 32 * q^53 - 27 * q^54 + 67 * q^56 - 40 * q^58 - 12 * q^59 + 14 * q^60 - 8 * q^61 - 128 * q^62 + 59 * q^64 + 88 * q^66 + 10 * q^68 - 20 * q^69 + 3 * q^72 - 11 * q^74 + 110 * q^76 + 118 * q^78 - 144 * q^79 - q^80 - 56 * q^81 - 59 * q^82 - 162 * q^84 - 18 * q^86 - 76 * q^88 + 7 * q^90 - 149 * q^92 + 168 * q^94 + 65 * q^96 - 98 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/920\mathbb{Z}\right)^\times$.

$n$	$231$	$281$	$461$	$737$
$\chi(n)$	$-1$	$e\left(\frac{9}{22}\right)$	$-1$	$1$

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 $

$2$	−1.30481	−	0.545420i	−0.922637	−	0.385670i
$2$	−1.30481	−	0.545420i	−0.922637	−	0.385670i
$3$	0.319837	−	2.22451i	0.184658	−	1.28432i	−0.660914	−	0.750462i	$-0.729831\pi$
$3$	0.319837	−	2.22451i	0.184658	−	1.28432i	0.845571	−	0.533862i	$-0.179260\pi$
$4$	1.40503	+	1.42333i	0.702517	+	0.711667i
$5$	−0.959493	+	0.281733i	−0.429098	+	0.125995i
$5$	−0.959493	+	0.281733i	−0.429098	+	0.125995i
$6$	−1.63062	+	2.72811i	−0.665697	+	1.11375i
$7$	0.470129	+	0.542558i	0.177692	+	0.205068i	0.837608	−	0.546272i	$-0.183953\pi$
$7$	0.470129	+	0.542558i	0.177692	+	0.205068i	−0.659916	+	0.751340i	$0.729408\pi$
$8$	−1.05698	−	2.62351i	−0.373700	−	0.927550i
$9$	−1.96769	−	0.577767i	−0.655897	−	0.192589i
$10$	1.40561	+	0.155720i	0.444494	+	0.0492430i
$11$	0.0968928	−	0.150768i	0.0292143	−	0.0454583i	−0.826339	−	0.563173i	$-0.809581\pi$
$11$	0.0968928	−	0.150768i	0.0292143	−	0.0454583i	0.855554	+	0.517714i	$0.173217\pi$
$12$	3.61561	−	2.67029i	1.04374	−	0.770845i
$13$	4.77506	+	4.13762i	1.32436	+	1.14757i	0.977800	+	0.209542i	$0.0671972\pi$
$13$	4.77506	+	4.13762i	1.32436	+	1.14757i	0.346564	+	0.938026i	$0.387348\pi$
$14$	−0.317505	−	0.964351i	−0.0848569	−	0.257734i
$15$	0.319837	+	2.22451i	0.0825815	+	0.574367i
$16$	−0.0517542	+	3.99967i	−0.0129386	+	0.999916i
$17$	0.839909	−	0.383573i	0.203708	−	0.0930302i	−0.310949	−	0.950427i	$-0.600647\pi$
$17$	0.839909	−	0.383573i	0.203708	−	0.0930302i	0.514656	+	0.857396i	$0.327919\pi$
$18$	2.25233	+	1.82709i	0.530879	+	0.430649i
$19$	−0.153192	−	0.0699606i	−0.0351447	−	0.0160501i	0.397765	−	0.917487i	$-0.369786\pi$
$19$	−0.153192	−	0.0699606i	−0.0351447	−	0.0160501i	−0.432910	+	0.901437i	$0.642513\pi$
$20$	−1.74912	−	0.969834i	−0.391115	−	0.216861i
$21$	1.35729	−	0.872280i	0.296186	−	0.190347i
$22$	−0.208658	+	0.143876i	−0.0444861	+	0.0306744i
$23$	4.51547	−	1.61572i	0.941540	−	0.336900i
$23$	4.51547	−	1.61572i	0.941540	−	0.336900i
$24$	−6.17409	+	1.51218i	−1.26028	+	0.308673i
$25$	0.841254	−	0.540641i	0.168251	−	0.108128i
$26$	−3.97379	−	8.00320i	−0.779325	−	1.56956i
$27$	0.886208	−	1.94052i	0.170551	−	0.373454i
$28$	−0.111693	+	1.43146i	−0.0211080	+	0.270521i
$29$	4.18618	−	1.91177i	0.777355	−	0.355006i	0.0130947	−	0.999914i	$-0.495832\pi$
$29$	4.18618	−	1.91177i	0.777355	−	0.355006i	0.764260	+	0.644908i	$0.223104\pi$
$30$	0.795969	−	3.07700i	0.145323	−	0.561782i
$31$	−5.97499	+	0.859074i	−1.07314	+	0.154294i	−0.656160	−	0.754621i	$-0.727821\pi$
$31$	−5.97499	+	0.859074i	−1.07314	+	0.154294i	−0.416980	+	0.908916i	$0.636911\pi$
$32$	2.24903	−	5.19056i	0.397575	−	0.917570i
$33$	−0.304396	−	0.263761i	−0.0529886	−	0.0459149i
$34$	−1.30513	+	0.0423860i	−0.223827	+	0.00726915i
$35$	−0.603942	−	0.388130i	−0.102085	−	0.0656059i
$36$	−1.94232	−	3.61246i	−0.323720	−	0.602077i
$37$	10.1890	+	2.99176i	1.67506	+	0.491842i	0.974993	−	0.222236i	$-0.0713355\pi$
$37$	10.1890	+	2.99176i	1.67506	+	0.491842i	0.700066	+	0.714078i	$0.253154\pi$
$38$	0.161728	+	0.174839i	0.0262358	+	0.0283627i
$39$	10.7314	−	9.29884i	1.71840	−	1.48901i
$40$	1.75330	+	2.21945i	0.277220	+	0.350926i
$41$	−3.27821	+	0.962568i	−0.511970	+	0.150328i	−0.527506	−	0.849551i	$-0.676873\pi$
$41$	−3.27821	+	0.962568i	−0.511970	+	0.150328i	0.0155360	+	0.999879i	$0.495055\pi$
$42$	−2.24676	+	0.397861i	−0.346683	+	0.0613912i
$43$	−0.788426	−	0.113359i	−0.120234	−	0.0172870i	0.0819352	−	0.996638i	$-0.473890\pi$
$43$	−0.788426	−	0.113359i	−0.120234	−	0.0172870i	−0.202169	+	0.979351i	$0.564799\pi$
$44$	0.350731	−	0.0739238i	0.0528747	−	0.0111444i
$45$	2.05076			0.305710
$46$	−6.77305	−	0.354631i	−0.998632	−	0.0522875i
$47$		−	0.573162i		−	0.0836043i	−0.999126	−	0.0418022i	$-0.986690\pi$
$47$		−	0.573162i		−	0.0836043i	0.999126	−	0.0418022i	$-0.0133099\pi$
$48$	8.88076	+	1.39437i	1.28183	+	0.201260i
$49$	0.922856	−	6.41861i	0.131837	−	0.916944i
$50$	−1.39255	+	0.246595i	−0.196936	+	0.0348738i
$51$	−0.584631	−	1.99107i	−0.0818647	−	0.278806i
$52$	0.819925	+	12.6100i	0.113703	+	1.74869i
$53$	2.71012	+	3.12764i	0.372264	+	0.429615i	0.910711	−	0.413044i	$-0.135534\pi$
$53$	2.71012	+	3.12764i	0.372264	+	0.429615i	−0.538448	+	0.842659i	$0.680989\pi$
$54$	−2.21473	+	2.04865i	−0.301386	+	0.278786i
$55$	−0.0504917	+	0.171959i	−0.00680830	+	0.0231869i
$56$	0.926486	−	1.80686i	0.123807	−	0.241452i
$57$	−0.204625	+	0.318403i	−0.0271033	+	0.0421735i
$58$	−6.50487	+	0.211256i	−0.854131	+	0.0277393i
$59$	5.33984	−	6.16250i	0.695188	−	0.802290i	−0.292906	−	0.956141i	$-0.594622\pi$
$59$	5.33984	−	6.16250i	0.695188	−	0.802290i	0.988094	+	0.153851i	$0.0491677\pi$
$60$	−2.71684	+	3.58076i	−0.350743	+	0.462274i
$61$	1.26232	+	8.77960i	0.161623	+	1.12411i	0.895575	+	0.444911i	$0.146765\pi$
$61$	1.26232	+	8.77960i	0.161623	+	1.12411i	−0.733952	+	0.679201i	$0.762326\pi$
$62$	8.26476	+	2.13795i	1.04963	+	0.271520i
$63$	−0.611598	−	1.33921i	−0.0770541	−	0.168725i
$64$	−5.76557	+	5.54601i	−0.720697	+	0.693251i
$65$	−5.74734	−	2.62472i	−0.712870	−	0.325557i
$66$	0.253317	+	0.510180i	0.0311812	+	0.0627988i
$67$	0.841448	+	1.30932i	0.102799	+	0.159959i	0.888843	−	0.458213i	$-0.151510\pi$
$67$	0.841448	+	1.30932i	0.102799	+	0.159959i	−0.786043	+	0.618171i	$0.787874\pi$
$68$	1.72605	+	0.656536i	0.209315	+	0.0796166i
$69$	−2.14997	−	10.5615i	−0.258826	−	1.27145i
$70$	0.576333	+	0.835836i	0.0688850	+	0.0999015i
$71$	−5.17146	−	8.04695i	−0.613739	−	0.954997i	−0.999475	−	0.0323877i	$-0.989689\pi$
$71$	−5.17146	−	8.04695i	−0.613739	−	0.954997i	0.385736	−	0.922609i	$-0.373948\pi$
$72$	0.564044	+	5.77294i	0.0664732	+	0.680348i
$73$	−0.463174	+	1.01421i	−0.0542104	+	0.118704i	−0.934799	−	0.355178i	$-0.884420\pi$
$73$	−0.463174	+	1.01421i	−0.0542104	+	0.118704i	0.880588	+	0.473882i	$0.157148\pi$
$74$	−11.6629	−	9.46094i	−1.35578	−	1.09981i
$75$	−0.933600	−	2.04430i	−0.107803	−	0.236055i
$76$	−0.115663	−	0.316341i	−0.0132675	−	0.0362868i
$77$	0.127353	−	0.0183105i	0.0145132	−	0.00208668i
$78$	−19.0742	+	6.28004i	−2.15973	+	0.711075i
$79$	−3.93088	+	4.53647i	−0.442258	+	0.510393i	−0.932488	−	0.361200i	$-0.882367\pi$
$79$	−3.93088	+	4.53647i	−0.442258	+	0.510393i	0.490230	+	0.871593i	$0.336913\pi$
$80$	−1.07718	−	3.85223i	−0.120432	−	0.430693i
$81$	−9.20892	−	5.91821i	−1.02321	−	0.657579i
$82$	4.80242	+	0.532034i	0.530339	+	0.0587533i
$83$	2.87550	−	9.79305i	0.315627	−	1.07493i	−0.637020	−	0.770847i	$-0.719833\pi$
$83$	2.87550	−	9.79305i	0.315627	−	1.07493i	0.952647	−	0.304079i	$-0.0983488\pi$
$84$	3.14859	+	0.706298i	0.343539	+	0.0770634i
$85$	−0.697821	+	0.604666i	−0.0756893	+	0.0655852i
$86$	0.966915	+	0.577934i	0.104265	+	0.0623202i
$87$	−2.91386	−	9.92368i	−0.312398	−	1.06393i
$88$	−0.497955	−	0.0948395i	−0.0530822	−	0.0101099i
$89$	−7.00700	−	1.00745i	−0.742741	−	0.106790i	−0.239452	−	0.970908i	$-0.576968\pi$
$89$	−7.00700	−	1.00745i	−0.742741	−	0.106790i	−0.503289	+	0.864118i	$0.667877\pi$
$90$	−2.67585	−	1.11853i	−0.282059	−	0.117903i
$91$			4.53596i			0.475498i
$92$	8.64409	+	4.15688i	0.901209	+	0.433385i
$93$			13.5662i			1.40675i
$94$	−0.312614	+	0.747865i	−0.0322437	+	0.0771364i
$95$	0.166697	+	0.0239674i	0.0171028	+	0.00245901i
$96$	−10.8272	−	6.66312i	−1.10504	−	0.680052i
$97$	−5.05401	−	17.2124i	−0.513157	−	1.74765i	−0.652879	−	0.757462i	$-0.726439\pi$
$97$	−5.05401	−	17.2124i	−0.513157	−	1.74765i	0.139722	−	0.990191i	$-0.455379\pi$
$98$	−4.70498	+	7.87169i	−0.475275	+	0.795161i
$99$	−0.277764	+	0.240684i	−0.0279163	+	0.0241896i
$100$	1.95150	+	0.437765i	0.195150	+	0.0437765i
$101$	−0.789615	+	2.68918i	−0.0785696	+	0.267583i	−0.989404	−	0.145188i	$-0.953621\pi$
$101$	−0.789615	+	2.68918i	−0.0785696	+	0.267583i	0.910834	+	0.412772i	$0.135439\pi$
$102$	−0.323139	+	2.91683i	−0.0319955	+	0.288809i
$103$	−4.87921	−	3.13568i	−0.480763	−	0.308968i	0.277718	−	0.960663i	$-0.410422\pi$
$103$	−4.87921	−	3.13568i	−0.480763	−	0.308968i	−0.758481	+	0.651695i	$0.774058\pi$
$104$	5.80790	−	16.9008i	0.569511	−	1.65726i
$105$	−1.05656	+	1.21934i	−0.103110	+	0.118995i
$106$	−1.83030	−	5.55912i	−0.177774	−	0.539950i
$107$	3.87763	−	0.557519i	0.374864	−	0.0538974i	0.0476921	−	0.998862i	$-0.484813\pi$
$107$	3.87763	−	0.557519i	0.374864	−	0.0538974i	0.327172	+	0.944965i	$0.393904\pi$
$108$	4.00717	−	1.46514i	0.385590	−	0.140983i
$109$	−4.35000	−	9.52516i	−0.416654	−	0.912345i	−0.995307	−	0.0967711i	$-0.969149\pi$
$109$	−4.35000	−	9.52516i	−0.416654	−	0.912345i	0.578653	−	0.815574i	$-0.303579\pi$
$110$	0.159672	−	0.196834i	0.0152241	−	0.0187674i
$111$	9.91402	−	21.7087i	0.940997	−	2.06050i
$112$	−2.19438	+	1.85228i	−0.207350	+	0.175024i
$113$	10.1243	+	15.7538i	0.952419	+	1.48199i	0.874496	+	0.485033i	$0.161192\pi$
$113$	10.1243	+	15.7538i	0.952419	+	1.48199i	0.0779226	+	0.996959i	$0.475171\pi$
$114$	0.440659	−	0.303847i	0.0412715	−	0.0284579i
$115$	−3.87736	+	2.82242i	−0.361566	+	0.263192i
$116$	8.60281	+	3.27224i	0.798751	+	0.303819i
$117$	−7.00528	−	10.9004i	−0.647638	−	1.00774i
$118$	−10.3286	+	5.12842i	−0.950825	+	0.472109i
$119$	0.602977	+	0.275370i	0.0552748	+	0.0252431i
$120$	5.49797	−	3.19037i	0.501893	−	0.291240i
$121$	4.55622	+	9.97674i	0.414202	+	0.906976i
$122$	3.14149	−	12.1442i	0.284417	−	1.09948i
$123$	1.09276	+	7.60028i	0.0985305	+	0.685294i
$124$	−9.61782	−	7.29738i	−0.863706	−	0.655324i
$125$	−0.654861	+	0.755750i	−0.0585725	+	0.0675963i
$126$	0.0675835	+	2.08099i	0.00602081	+	0.185389i
$127$	8.91263	−	13.8683i	0.790868	−	1.23062i	−0.178242	−	0.983987i	$-0.557041\pi$
$127$	8.91263	−	13.8683i	0.790868	−	1.23062i	0.969110	−	0.246628i	$-0.0793227\pi$
$128$	10.5479	−	4.09180i	0.932307	−	0.361668i
$129$	−0.504336	+	1.71761i	−0.0444043	+	0.151227i
$130$	6.06759	+	6.55946i	0.532162	+	0.575303i
$131$	3.65373	+	4.21663i	0.319228	+	0.368408i	0.892571	−	0.450907i	$-0.148899\pi$
$131$	3.65373	+	4.21663i	0.319228	+	0.368408i	−0.573343	+	0.819315i	$0.694354\pi$
$132$	−0.0522678	−	0.803850i	−0.00454933	−	0.0699662i
$133$	−0.0340625	−	0.116006i	−0.00295360	−	0.0100590i
$134$	−0.383798	−	2.16735i	−0.0331551	−	0.187230i
$135$	−0.303601	+	2.11159i	−0.0261298	+	0.181737i
$136$	−1.89408	−	1.79807i	−0.162416	−	0.154184i
$137$		−	0.952047i		−	0.0813389i	−0.999173	−	0.0406694i	$-0.987051\pi$
$137$		−	0.952047i		−	0.0813389i	0.999173	−	0.0406694i	$-0.0129491\pi$
$138$	−2.95515	+	14.9533i	−0.251559	+	1.27291i
$139$	21.5515			1.82797			0.913986	−	0.405747i	$-0.132988\pi$
$139$	21.5515			1.82797			0.913986	+	0.405747i	$0.132988\pi$
$140$	−0.296121	−	1.40495i	−0.0250268	−	0.118740i
$141$	−1.27501	−	0.183318i	−0.107375	−	0.0154382i
$142$	2.35878	+	13.3203i	0.197945	+	1.11782i
$143$	1.08649	−	0.319022i	0.0908569	−	0.0266780i
$144$	2.41271	−	7.84021i	0.201059	−	0.653351i
$145$	−3.47801	+	3.01371i	−0.288833	+	0.250275i
$146$	1.15752	−	1.07072i	0.0957971	−	0.0886135i
$147$	−13.9831	−	4.10581i	−1.15331	−	0.338642i
$148$	10.0576	+	18.7058i	0.826731	+	1.53761i
$149$	−8.49979	−	5.46248i	−0.696330	−	0.447504i	0.144001	−	0.989578i	$-0.454003\pi$
$149$	−8.49979	−	5.46248i	−0.696330	−	0.447504i	−0.840331	+	0.542074i	$0.817639\pi$
$150$	0.103166	+	3.17661i	0.00842344	+	0.259370i
$151$	1.35702	+	1.17586i	0.110433	+	0.0956905i	0.708327	−	0.705885i	$-0.249450\pi$
$151$	1.35702	+	1.17586i	0.110433	+	0.0956905i	−0.597894	+	0.801575i	$0.703996\pi$
$152$	−0.0216203	+	0.475848i	−0.00175364	+	0.0385964i
$153$	−1.87430	+	0.269483i	−0.151528	+	0.0217864i
$154$	−0.176157	−	0.0455689i	−0.0141952	−	0.00367205i
$155$	5.49093	−	2.50763i	0.441042	−	0.201417i
$156$	28.3134	+	2.20921i	2.26688	+	0.176878i
$157$	−4.52523	+	9.90888i	−0.361153	+	0.790815i	0.638620	+	0.769522i	$0.279505\pi$
$157$	−4.52523	+	9.90888i	−0.361153	+	0.790815i	−0.999773	+	0.0212928i	$0.993222\pi$
$158$	7.60331	−	3.77524i	0.604887	−	0.300342i
$159$	7.82429	−	5.02837i	0.620506	−	0.398775i
$160$	−0.695575	+	5.61393i	−0.0549900	+	0.443820i
$161$	2.99947	+	1.69031i	0.236392	+	0.133215i
$162$	8.78794	+	12.7448i	0.690446	+	1.00133i
$163$	3.56031	−	2.28807i	0.278865	−	0.179216i	−0.393731	−	0.919226i	$-0.628816\pi$
$163$	3.56031	−	2.28807i	0.278865	−	0.179216i	0.672596	+	0.740010i	$0.265179\pi$
$164$	−5.97605	−	3.31354i	−0.466651	−	0.258744i
$165$	0.366376	+	0.167318i	0.0285223	+	0.0130257i
$166$	−9.09329	+	11.2097i	−0.705776	+	0.870039i
$167$	−9.25886	+	4.22838i	−0.716472	+	0.327202i	−0.740079	−	0.672519i	$-0.765212\pi$
$167$	−9.25886	+	4.22838i	−0.716472	+	0.327202i	0.0236072	+	0.999721i	$0.492485\pi$
$168$	−3.72307	−	2.63888i	−0.287241	−	0.203594i
$169$	3.83127	+	26.6471i	0.294713	+	2.04977i
$170$	1.24032	−	0.408366i	0.0951280	−	0.0313202i
$171$	0.261015	+	0.226170i	0.0199603	+	0.0172957i
$172$	−0.946420	−	1.28147i	−0.0721638	−	0.0977109i
$173$	−10.1342	+	15.7692i	−0.770491	+	1.19891i	0.204977	+	0.978767i	$0.434288\pi$
$173$	−10.1342	+	15.7692i	−0.770491	+	1.19891i	−0.975468	+	0.220141i	$0.929348\pi$
$174$	−1.61056	+	14.5377i	−0.122096	+	1.10210i
$175$	0.688827	+	0.202258i	0.0520704	+	0.0152893i
$176$	0.598008	+	0.395342i	0.0450765	+	0.0298000i
$177$	−12.0007	−	13.8496i	−0.902028	−	1.04100i
$178$	8.59329	+	5.13629i	0.644094	+	0.384981i
$179$	−1.32914	+	0.390271i	−0.0993446	+	0.0291702i	−0.331027	−	0.943621i	$-0.607395\pi$
$179$	−1.32914	+	0.390271i	−0.0993446	+	0.0291702i	0.231682	+	0.972791i	$0.425577\pi$
$180$	2.88139	+	2.91892i	0.214766	+	0.217563i
$181$	1.03522	−	7.20009i	0.0769470	−	0.535178i	−0.914492	−	0.404605i	$-0.867409\pi$
$181$	1.03522	−	7.20009i	0.0769470	−	0.535178i	0.991439	−	0.130573i	$-0.0416818\pi$
$182$	2.47400	−	5.91855i	0.183385	−	0.438712i
$183$	19.9341			1.47357
$184$	−9.01162	−	10.1386i	−0.664345	−	0.747426i
$185$	−10.6191			−0.780735
$186$	7.39928	−	17.7013i	0.542542	−	1.29792i
$187$	0.0235505	−	0.163797i	0.00172218	−	0.0119780i
$188$	0.815801	−	0.805313i	0.0594984	−	0.0587335i
$189$	1.46948	−	0.431478i	0.106889	−	0.0313854i
$190$	−0.204435	−	0.122193i	−0.0148313	−	0.00886480i
$191$	4.17274	+	4.81559i	0.301929	+	0.348444i	0.886358	−	0.463000i	$-0.153227\pi$
$191$	4.17274	+	4.81559i	0.301929	+	0.348444i	−0.584430	+	0.811444i	$0.698682\pi$
$192$	10.4931	+	14.5994i	0.757276	+	1.05362i
$193$	6.97968	+	2.04942i	0.502408	+	0.147520i	0.523110	−	0.852265i	$-0.324772\pi$
$193$	6.97968	+	2.04942i	0.502408	+	0.147520i	−0.0207016	+	0.999786i	$0.506590\pi$
$194$	−2.79347	+	25.2154i	−0.200559	+	1.81036i
$195$	−7.67695	+	11.9456i	−0.549757	+	0.855439i
$196$	10.4325	−	7.70483i	0.745176	−	0.550345i
$197$	−12.3784	−	10.7259i	−0.881925	−	0.764192i	0.0908694	−	0.995863i	$-0.471035\pi$
$197$	−12.3784	−	10.7259i	−0.881925	−	0.764192i	−0.972794	+	0.231671i	$0.925581\pi$
$198$	0.493702	−	0.162548i	0.0350859	−	0.0115518i
$199$	1.82041	+	12.6612i	0.129045	+	0.897530i	0.946768	+	0.321918i	$0.104327\pi$
$199$	1.82041	+	12.6612i	0.129045	+	0.897530i	−0.817722	+	0.575613i	$0.804764\pi$
$200$	−2.30757	−	1.63559i	−0.163170	−	0.115653i
$201$	3.18172	−	1.45304i	0.224421	−	0.102490i
$202$	2.49703	−	3.07819i	0.175690	−	0.216580i
$203$	3.00529	+	1.37247i	0.210930	+	0.0963286i
$204$	2.01253	−	3.62965i	0.140905	−	0.254126i
$205$	2.87423	−	1.84715i	0.200745	−	0.129011i
$206$	4.65616	+	6.75267i	0.324410	+	0.470481i
$207$	−9.81856	+	0.570344i	−0.682437	+	0.0396416i
$208$	−16.7962	+	18.8845i	−1.16461	+	1.30941i
$209$	−0.0253911	+	0.0163179i	−0.00175634	+	0.00112873i
$210$	2.04366	−	1.01473i	0.141026	−	0.0700231i
$211$	−3.95432	+	8.65876i	−0.272227	+	0.596094i	−0.995531	−	0.0944360i	$-0.969895\pi$
$211$	−3.95432	+	8.65876i	−0.272227	+	0.596094i	0.723304	+	0.690530i	$0.242622\pi$
$212$	−0.643868	+	8.25185i	−0.0442210	+	0.566740i
$213$	−19.5546	+	8.93028i	−1.33986	+	0.611892i
$214$	−5.36363	−	1.38748i	−0.366650	−	0.0948462i
$215$	0.788426	−	0.113359i	0.0537702	−	0.00773099i
$216$	−6.02769	−	0.273870i	−0.410132	−	0.0186345i
$217$	−3.27512	−	2.83790i	−0.222329	−	0.192650i
$218$	0.480688	+	14.8011i	0.0325563	+	1.00245i
$219$	2.10798	+	1.35472i	0.142444	+	0.0915434i
$220$	−0.315697	+	0.169742i	−0.0212843	+	0.0114440i
$221$	5.59769	+	1.64363i	0.376542	+	0.110563i
$222$	−24.7762	+	22.9183i	−1.66287	+	1.53818i
$223$	9.07372	−	7.86242i	0.607621	−	0.526507i	−0.295806	−	0.955248i	$-0.595588\pi$
$223$	9.07372	−	7.86242i	0.607621	−	0.526507i	0.903427	+	0.428741i	$0.141043\pi$
$224$	3.87351	−	1.22001i	0.258810	−	0.0815151i
$225$	−1.96769	+	0.577767i	−0.131179	+	0.0385178i
$226$	−4.61788	−	26.0777i	−0.307177	−	1.73466i
$227$	9.60266	+	1.38065i	0.637351	+	0.0916372i	0.453413	−	0.891301i	$-0.350206\pi$
$227$	9.60266	+	1.38065i	0.637351	+	0.0916372i	0.183938	+	0.982938i	$0.441115\pi$
$228$	−0.740699	+	0.156117i	−0.0490540	+	0.0103391i
$229$	18.3886			1.21515			0.607576	−	0.794261i	$-0.292142\pi$
$229$	18.3886			1.21515			0.607576	+	0.794261i	$0.292142\pi$
$230$	6.59861	−	1.56792i	0.435099	−	0.103386i
$231$		−	0.289154i		−	0.0190250i
$232$	−9.44026	−	8.96177i	−0.619783	−	0.588369i
$233$	2.73122	−	18.9961i	0.178928	−	1.24447i	−0.680320	−	0.732915i	$-0.738159\pi$
$233$	2.73122	−	18.9961i	0.178928	−	1.24447i	0.859248	−	0.511559i	$-0.170932\pi$
$234$	3.19522	+	18.0437i	0.208878	+	1.17956i
$235$	0.161478	+	0.549945i	0.0105337	+	0.0358745i
$236$	16.2740	−	1.05816i	1.05934	−	0.0688805i
$237$	8.83422	+	10.1952i	0.573844	+	0.662251i
$238$	−0.636575	−	0.688180i	−0.0412630	−	0.0446081i
$239$	1.41816	−	4.82982i	0.0917333	−	0.312415i	−0.900826	−	0.434181i	$-0.857038\pi$
$239$	1.41816	−	4.82982i	0.0917333	−	0.312415i	0.992559	+	0.121767i	$0.0388559\pi$
$240$	−8.91387	+	1.16411i	−0.575388	+	0.0751432i
$241$	−3.56016	+	5.53972i	−0.229330	+	0.356845i	−0.936780	−	0.349919i	$-0.886209\pi$
$241$	−3.56016	+	5.53972i	−0.229330	+	0.356845i	0.707450	+	0.706764i	$0.249846\pi$
$242$	−0.503477	−	15.5028i	−0.0323647	−	0.996555i
$243$	−11.9194	+	13.7558i	−0.764633	+	0.882433i
$244$	−10.7227	+	14.1323i	−0.686450	+	0.904730i
$245$	0.922856	+	6.41861i	0.0589591	+	0.410070i
$246$	2.71951	−	10.5129i	0.173390	−	0.670278i
$247$	−0.442033	−	0.967918i	−0.0281259	−	0.0615871i
$248$	8.56925	+	14.7674i	0.544148	+	0.937731i
$249$	−20.8651	−	9.52877i	−1.32227	−	0.603861i
$250$	1.26667	−	0.628932i	0.0801110	−	0.0397772i
$251$	7.91623	+	12.3179i	0.499668	+	0.777498i	0.995878	−	0.0907042i	$-0.0289118\pi$
$251$	7.91623	+	12.3179i	0.499668	+	0.777498i	−0.496210	+	0.868202i	$0.665275\pi$
$252$	1.04683	−	2.75215i	0.0659440	−	0.173369i
$253$	0.193918	−	0.837340i	0.0121915	−	0.0526431i
$254$	−19.1933	+	13.2343i	−1.20430	+	0.830397i
$255$	1.12190	+	1.74571i	0.0702560	+	0.109320i
$256$	−15.9946	−	0.413999i	−0.999665	−	0.0258749i
$257$	12.7005	−	27.8103i	0.792237	−	1.73476i	0.122103	−	0.992517i	$-0.461036\pi$
$257$	12.7005	−	27.8103i	0.792237	−	1.73476i	0.670134	−	0.742240i	$-0.266237\pi$
$258$	1.59488	−	1.96607i	0.0992928	−	0.122402i
$259$	3.16694	+	6.93463i	0.196784	+	0.430897i
$260$	−4.33936	−	11.8682i	−0.269116	−	0.736035i
$261$	−9.34167	+	1.34313i	−0.578235	+	0.0831377i
$262$	−2.46757	−	7.49469i	−0.152447	−	0.463024i
$263$	−10.0884	+	11.6427i	−0.622080	+	0.717918i	−0.976101	−	0.217319i	$-0.930269\pi$
$263$	−10.0884	+	11.6427i	−0.622080	+	0.717918i	0.354021	+	0.935238i	$0.384814\pi$
$264$	−0.370236	+	1.07738i	−0.0227865	+	0.0663079i
$265$	−3.48150	−	2.23742i	−0.213867	−	0.137444i
$266$	−0.0188272	+	0.169944i	−0.00115437	+	0.0104199i
$267$	−4.48220	+	15.2650i	−0.274306	+	0.934200i
$268$	−0.681333	+	3.03730i	−0.0416190	+	0.185532i
$269$	−11.7570	+	10.1875i	−0.716840	+	0.621145i	−0.934950	−	0.354779i	$-0.884556\pi$
$269$	−11.7570	+	10.1875i	−0.716840	+	0.621145i	0.218111	+	0.975924i	$0.430011\pi$
$270$	1.54784	−	2.58963i	0.0941988	−	0.157600i
$271$	6.56192	+	22.3479i	0.398608	+	1.35754i	0.877464	+	0.479642i	$0.159233\pi$
$271$	6.56192	+	22.3479i	0.398608	+	1.35754i	−0.478856	+	0.877894i	$0.658948\pi$
$272$	1.49070	+	3.37920i	0.0903867	+	0.204894i
$273$	10.0903	+	1.45077i	0.610694	+	0.0878045i
$274$	−0.519265	+	1.24224i	−0.0313700	+	0.0750462i
$275$		−	0.179218i		−	0.0108073i
$276$	12.0117	−	17.8994i	0.723022	−	1.07742i
$277$			10.5963i			0.636672i	0.947978	+	0.318336i	$0.103124\pi$
$277$			10.5963i			0.636672i	−0.947978	+	0.318336i	$0.896876\pi$
$278$	−28.1205	−	11.7546i	−1.68655	−	0.704993i
$279$	12.2533	+	1.76176i	0.733585	+	0.105474i
$280$	−0.379905	+	1.99469i	−0.0227037	+	0.119206i
$281$	8.09986	+	27.5856i	0.483197	+	1.64562i	0.735168	+	0.677884i	$0.237103\pi$
$281$	8.09986	+	27.5856i	0.483197	+	1.64562i	−0.251971	+	0.967735i	$0.581079\pi$
$282$	1.56365	+	0.934609i	0.0931141	+	0.0556552i
$283$	−23.2083	+	20.1101i	−1.37959	+	1.19542i	−0.422243	+	0.906482i	$0.638757\pi$
$283$	−23.2083	+	20.1101i	−1.37959	+	1.19542i	−0.957347	+	0.288940i	$0.906697\pi$
$284$	4.18741	−	18.6669i	0.248477	−	1.10768i
$285$	0.106632	−	0.363155i	0.00631633	−	0.0215114i
$286$	−1.59166	−	0.176331i	−0.0941168	−	0.0104267i
$287$	−2.06343	−	1.32609i	−0.121800	−	0.0782764i
$288$	−7.42432	+	8.91401i	−0.437482	+	0.525263i
$289$	−10.5743	+	12.2034i	−0.622019	+	0.717848i
$290$	6.18186	−	2.03533i	0.363011	−	0.119519i
$291$	−39.9057	+	5.73757i	−2.33931	+	0.336342i
$292$	−2.09433	+	0.765748i	−0.122562	+	0.0448120i
$293$	5.17539	+	11.3325i	0.302349	+	0.662053i	0.998436	−	0.0559050i	$-0.0178044\pi$
$293$	5.17539	+	11.3325i	0.302349	+	0.662053i	−0.696087	+	0.717958i	$0.745077\pi$
$294$	16.0059	+	12.9840i	0.933481	+	0.757240i
$295$	−3.38736	+	7.41729i	−0.197220	+	0.431851i
$296$	−2.92070	−	29.8931i	−0.169762	−	1.73750i
$297$	−0.206702	−	0.321635i	−0.0119941	−	0.0186631i
$298$	8.11123	+	11.7634i	0.469871	+	0.681437i
$299$	28.2469	+	10.9681i	1.63356	+	0.634303i
$300$	1.59798	−	4.20113i	0.0922592	−	0.242553i
$301$	−0.309159	−	0.481060i	−0.0178196	−	0.0277279i
$302$	−1.12931	−	2.27442i	−0.0649843	−	0.130878i
$303$	5.72957	+	2.61661i	0.329155	+	0.150320i
$304$	0.287747	−	0.609098i	0.0165034	−	0.0349341i
$305$	−3.68468	−	8.06833i	−0.210984	−	0.461991i
$306$	2.59257	+	0.670655i	0.148208	+	0.0383388i
$307$	−0.514393	−	3.57768i	−0.0293580	−	0.204189i	0.969863	−	0.243650i	$-0.0783449\pi$
$307$	−0.514393	−	3.57768i	−0.0293580	−	0.204189i	−0.999221	+	0.0394613i	$0.987436\pi$
$308$	0.204997	+	0.155538i	0.0116808	+	0.00886262i
$309$	−8.53592	+	9.85097i	−0.485591	+	0.560402i
$310$	−8.53231	+	0.277100i	−0.484603	+	0.0157382i
$311$	9.85874	−	15.3405i	0.559038	−	0.869880i	−0.440575	−	0.897716i	$-0.645225\pi$
$311$	9.85874	−	15.3405i	0.559038	−	0.869880i	0.999612	+	0.0278362i	$0.00886168\pi$
$312$	−35.7385	−	18.3253i	−2.02329	−	1.03746i
$313$	−3.52387	+	12.0012i	−0.199181	+	0.678347i	0.797955	+	0.602717i	$0.205915\pi$
$313$	−3.52387	+	12.0012i	−0.199181	+	0.678347i	−0.997136	+	0.0756303i	$0.975903\pi$
$314$	11.3090	−	10.4610i	0.638207	−	0.590349i
$315$	0.964124	+	1.11266i	0.0543222	+	0.0626912i
$316$	−11.9799	+	0.778957i	−0.673924	+	0.0438197i
$317$	0.913861	+	3.11232i	0.0513275	+	0.174806i	0.981168	−	0.193158i	$-0.0618731\pi$
$317$	0.913861	+	3.11232i	0.0513275	+	0.174806i	−0.929840	+	0.367964i	$0.880055\pi$
$318$	−12.9517	+	2.29352i	−0.726298	+	0.128614i
$319$	0.117378	−	0.816380i	0.00657189	−	0.0457085i
$320$	3.96954	−	6.94570i	0.221904	−	0.388277i
$321$		−	8.80415i		−	0.491400i
$322$	−2.99180	−	3.84150i	−0.166727	−	0.214078i
$323$	−0.155503			−0.00865240
$324$	−4.51526	−	21.4226i	−0.250848	−	1.19015i
$325$	6.25400	+	0.899190i	0.346910	+	0.0498781i
$326$	−5.89348	+	1.04363i	−0.326409	+	0.0578012i
$327$	−22.5802	+	6.63013i	−1.24869	+	0.366647i
$328$	5.99031	+	7.58298i	0.330760	+	0.418700i
$329$	0.310974	−	0.269460i	0.0171445	−	0.0148558i
$330$	−0.386791	−	0.418147i	−0.0212921	−	0.0230182i
$331$	6.00560	+	1.76340i	0.330098	+	0.0969254i	0.442582	−	0.896728i	$-0.354063\pi$
$331$	6.00560	+	1.76340i	0.330098	+	0.0969254i	−0.112484	+	0.993654i	$0.535881\pi$
$332$	17.9789	−	9.66678i	0.986723	−	0.530534i
$333$	−18.3203	−	11.7737i	−1.00394	−	0.645196i
$334$	14.3873	−	0.467249i	0.787236	−	0.0255667i
$335$	−1.17624	−	1.01922i	−0.0642649	−	0.0556858i
$336$	3.41858	+	5.47386i	0.186499	+	0.298624i
$337$	6.53734	−	0.939927i	0.356112	−	0.0512011i	0.0380625	−	0.999275i	$-0.487881\pi$
$337$	6.53734	−	0.939927i	0.356112	−	0.0512011i	0.318049	+	0.948074i	$0.396972\pi$
$338$	9.53477	−	36.8589i	0.518623	−	2.00486i
$339$	38.2827	−	17.4831i	2.07923	−	0.949553i
$340$	−1.84110	−	0.143656i	−0.0998479	−	0.00779084i
$341$	−0.449413	+	0.984077i	−0.0243371	+	0.0532907i
$342$	−0.217215	−	0.437471i	−0.0117457	−	0.0236557i
$343$	8.14392	−	5.23378i	0.439731	−	0.282598i
$344$	0.535957	+	2.18826i	0.0288968	+	0.117983i
$345$	5.03840	+	9.52796i	0.271258	+	0.512968i
$346$	21.8240	−	15.0483i	1.17327	−	0.809001i
$347$	13.4714	−	8.65751i	0.723180	−	0.464760i	−0.126562	−	0.991959i	$-0.540394\pi$
$347$	13.4714	−	8.65751i	0.723180	−	0.464760i	0.849742	+	0.527199i	$0.176758\pi$
$348$	10.0306	−	18.0905i	0.537698	−	0.969753i
$349$	−14.3479	−	6.55248i	−0.768027	−	0.350746i	−0.00743161	−	0.999972i	$-0.502366\pi$
$349$	−14.3479	−	6.55248i	−0.768027	−	0.350746i	−0.760595	+	0.649226i	$0.775093\pi$
$350$	−0.788470	−	0.639607i	−0.0421455	−	0.0341884i
$351$	12.2608	−	5.59934i	0.654435	−	0.298871i
$352$	−0.564657	−	0.842009i	−0.0300963	−	0.0448792i
$353$	−2.40269	−	16.7111i	−0.127882	−	0.889440i	−0.948232	−	0.317578i	$-0.897130\pi$
$353$	−2.40269	−	16.7111i	−0.127882	−	0.889440i	0.820350	−	0.571862i	$-0.193779\pi$
$354$	8.10477	+	24.6164i	0.430764	+	1.30835i
$355$	7.22907	+	6.26402i	0.383679	+	0.332460i
$356$	−8.41114	−	11.3888i	−0.445789	−	0.603606i
$357$	0.805419	−	1.25326i	0.0426273	−	0.0663294i
$358$	1.94713	+	0.215712i	0.102909	+	0.0114007i
$359$	−19.0696	−	5.59935i	−1.00646	−	0.295522i	−0.263353	−	0.964699i	$-0.584828\pi$
$359$	−19.0696	−	5.59935i	−1.00646	−	0.295522i	−0.743103	+	0.669177i	$0.766647\pi$
$360$	−2.16762	−	5.38019i	−0.114244	−	0.283561i
$361$	−12.4238	−	14.3378i	−0.653883	−	0.754621i
$362$	−5.27782	+	8.83009i	−0.277396	+	0.464099i
$363$	23.6506	−	6.94446i	1.24134	−	0.364489i
$364$	−6.45619	+	6.37319i	−0.338396	+	0.334046i
$365$	0.158676	−	1.10362i	0.00830549	−	0.0577660i
$366$	−26.0101	−	10.8724i	−1.35957	−	0.568311i
$367$	5.05840			0.264046			0.132023	−	0.991247i	$-0.457853\pi$
$367$	5.05840			0.264046			0.132023	+	0.991247i	$0.457853\pi$
$368$	6.22863	+	18.1440i	0.324690	+	0.945821i
$369$	7.00664			0.364751
$370$	13.8559	+	5.79189i	0.720334	+	0.301106i
$371$	−0.422823	+	2.94080i	−0.0219519	+	0.152678i
$372$	−19.3093	+	19.0610i	−1.00114	+	0.988268i
$373$	24.3624	−	7.15346i	1.26144	−	0.370392i	0.418409	−	0.908259i	$-0.362588\pi$
$373$	24.3624	−	7.15346i	1.26144	−	0.370392i	0.843030	+	0.537867i	$0.180770\pi$
$374$	−0.120067	+	0.200878i	−0.00620851	+	0.0103872i
$375$	1.47173	+	1.69846i	0.0759997	+	0.0877083i
$376$	−1.50369	+	0.605823i	−0.0775471	+	0.0312429i
$377$	27.8994	+	8.19201i	1.43689	+	0.421910i
$378$	−2.15272	−	0.238488i	−0.110724	−	0.0122665i
$379$	10.4439	−	16.2510i	0.536467	−	0.834759i	−0.462179	−	0.886787i	$-0.652932\pi$
$379$	10.4439	−	16.2510i	0.536467	−	0.834759i	0.998646	+	0.0520278i	$0.0165685\pi$
$380$	0.200102	+	0.270941i	0.0102650	+	0.0138990i
$381$	−27.9997	−	24.2619i	−1.43447	−	1.24297i
$382$	−2.81809	−	8.55930i	−0.144186	−	0.437932i
$383$	3.47190	+	24.1476i	0.177406	+	1.23389i	0.862737	+	0.505654i	$0.168749\pi$
$383$	3.47190	+	24.1476i	0.177406	+	1.23389i	−0.685330	+	0.728232i	$0.740342\pi$
$384$	−5.72868	−	24.7726i	−0.292341	−	1.26417i
$385$	−0.117035	+	0.0534482i	−0.00596467	+	0.00272397i
$386$	−7.98933	−	6.48094i	−0.406646	−	0.329871i
$387$	1.48589	+	0.678581i	0.0755318	+	0.0344942i
$388$	17.3979	−	31.3775i	0.883244	−	1.59295i
$389$	−28.0661	+	18.0370i	−1.42301	+	0.914513i	−0.423045	+	0.906109i	$0.639039\pi$
$389$	−28.0661	+	18.0370i	−1.42301	+	0.914513i	−0.999965	+	0.00840403i	$0.997325\pi$
$390$	16.5323	−	11.3995i	0.837144	−	0.577235i
$391$	3.17284	−	3.08907i	0.160457	−	0.156221i
$392$	−17.8147	+	4.36324i	−0.899778	+	0.220377i
$393$	10.5485	−	6.77914i	0.532104	−	0.341962i
$394$	10.3013	+	20.7467i	0.518970	+	1.04520i
$395$	2.49358	−	5.46017i	0.125465	−	0.274731i
$396$	−0.732842	−	0.0571815i	−0.0368267	−	0.00287348i
$397$	−19.4096	+	8.86407i	−0.974140	+	0.444875i	−0.837914	−	0.545803i	$-0.816225\pi$
$397$	−19.4096	+	8.86407i	−0.974140	+	0.444875i	−0.136227	+	0.990678i	$0.543498\pi$
$398$	4.53040	−	17.5133i	0.227088	−	0.877864i
$399$	−0.268952	+	0.0386695i	−0.0134645	+	0.00193590i
$400$	2.11884	+	3.39271i	0.105942	+	0.169636i
$401$	−15.7700	−	13.6648i	−0.787517	−	0.682388i	0.165195	−	0.986261i	$-0.447175\pi$
$401$	−15.7700	−	13.6648i	−0.787517	−	0.682388i	−0.952712	+	0.303873i	$0.901720\pi$
$402$	−4.94405	+	0.160566i	−0.246587	+	0.00800830i
$403$	−32.0855	−	20.6201i	−1.59829	−	1.02716i
$404$	−4.93704	+	2.65451i	−0.245627	+	0.132067i
$405$	10.5032	+	3.08403i	0.521910	+	0.153247i
$406$	−3.17275	−	3.42995i	−0.157461	−	0.170226i
$407$	1.43830	−	1.24630i	0.0712940	−	0.0617766i
$408$	−4.60564	+	3.63831i	−0.228013	+	0.180123i
$409$	−13.5002	+	3.96402i	−0.667543	+	0.196008i	−0.597909	−	0.801564i	$-0.704001\pi$
$409$	−13.5002	+	3.96402i	−0.667543	+	0.196008i	−0.0696345	+	0.997573i	$0.522183\pi$
$410$	−4.75778	+	0.842517i	−0.234970	+	0.0416089i
$411$	−2.11784	−	0.304500i	−0.104465	−	0.0150199i
$412$	−2.39235	−	11.3505i	−0.117862	−	0.559198i
$413$	5.85393			0.288053
$414$	13.1224	+	4.61105i	0.644930	+	0.226621i
$415$			10.2065i			0.501017i
$416$	32.2158	−	15.4796i	1.57951	−	0.758952i
$417$	6.89295	−	47.9415i	0.337549	−	2.34771i
$418$	0.0420305	−	0.00744284i	0.00205578	−	0.000364041i
$419$	−7.70508	−	26.2411i	−0.376418	−	1.28196i	−0.902191	−	0.431337i	$-0.858042\pi$
$419$	−7.70508	−	26.2411i	−0.376418	−	1.28196i	0.525773	−	0.850625i	$-0.323776\pi$
$420$	−3.22004	+	0.209372i	−0.157122	+	0.0102163i
$421$	16.3841	+	18.9083i	0.798514	+	0.921535i	0.998299	−	0.0583053i	$-0.0185697\pi$
$421$	16.3841	+	18.9083i	0.798514	+	0.921535i	−0.199785	+	0.979840i	$0.564024\pi$
$422$	9.88228	−	9.14123i	0.481062	−	0.444988i
$423$	−0.331154	+	1.12781i	−0.0161013	+	0.0548359i
$424$	5.34084	−	10.4159i	0.259374	−	0.505840i
$425$	0.499201	−	0.776771i	0.0242148	−	0.0376789i
$426$	30.3857	−	0.986823i	1.47219	−	0.0478117i
$427$	−4.16999	+	4.81243i	−0.201800	+	0.232890i
$428$	6.24174	+	4.73582i	0.301706	+	0.228915i
$429$	−0.362170	−	2.51895i	−0.0174857	−	0.121616i
$430$	−1.09057	−	0.282112i	−0.0525920	−	0.0136047i
$431$	−12.4547	−	27.2719i	−0.599921	−	1.31364i	−0.929258	−	0.369431i	$-0.879553\pi$
$431$	−12.4547	−	27.2719i	−0.599921	−	1.31364i	0.329338	−	0.944212i	$-0.393175\pi$
$432$	7.71558	+	3.64496i	0.371216	+	0.175368i
$433$	11.1500	+	5.09205i	0.535837	+	0.244709i	0.664906	−	0.746927i	$-0.268472\pi$
$433$	11.1500	+	5.09205i	0.535837	+	0.244709i	−0.129069	+	0.991636i	$0.541199\pi$
$434$	2.72554	+	5.48923i	0.130830	+	0.263491i
$435$	5.59165	+	8.70077i	0.268099	+	0.417170i
$436$	7.44558	−	19.5747i	0.356579	−	0.937457i
$437$	−0.804772	−	0.0683897i	−0.0384975	−	0.00327152i
$438$	−2.01162	−	2.91738i	−0.0961188	−	0.139398i
$439$	−15.0239	−	23.3777i	−0.717053	−	1.11576i	−0.988193	−	0.153217i	$-0.951037\pi$
$439$	−15.0239	−	23.3777i	−0.717053	−	1.11576i	0.271139	−	0.962540i	$-0.412600\pi$
$440$	0.504504	−	0.0492924i	0.0240513	−	0.00234992i
$441$	−5.52435	+	12.0966i	−0.263064	+	0.576031i
$442$	−6.40743	−	5.19771i	−0.304771	−	0.247230i
$443$	−15.3666	−	33.6481i	−0.730088	−	1.59867i	−0.799203	−	0.601061i	$-0.794745\pi$
$443$	−15.3666	−	33.6481i	−0.730088	−	1.59867i	0.0691150	−	0.997609i	$-0.477982\pi$
$444$	44.8282	−	16.3905i	2.12745	−	0.777859i
$445$	7.00700	−	1.00745i	0.332164	−	0.0477579i
$446$	−16.1278	+	5.30995i	−0.763671	+	0.251433i
$447$	−14.8699	+	17.1608i	−0.703323	+	0.811678i
$448$	−5.71960	−	0.520819i	−0.270225	−	0.0246064i
$449$	11.7216	+	7.53301i	0.553176	+	0.355505i	0.787173	−	0.616733i	$-0.211544\pi$
$449$	11.7216	+	7.53301i	0.553176	+	0.355505i	−0.233996	+	0.972237i	$0.575180\pi$
$450$	2.88258	+	0.319345i	0.135886	+	0.0150541i
$451$	−0.172510	+	0.587515i	−0.00812318	+	0.0276650i
$452$	−8.19783	+	36.5449i	−0.385594	+	1.71893i
$453$	3.04975	−	2.64263i	0.143290	−	0.124161i
$454$	−11.7766	−	7.03896i	−0.552701	−	0.330355i
$455$	−1.27793	−	4.35223i	−0.0599102	−	0.204035i
$456$	1.05162	+	0.200289i	0.0492465	+	0.00937938i
$457$	22.8644	+	3.28741i	1.06955	+	0.153778i	0.654532	−	0.756034i	$-0.272866\pi$
$457$	22.8644	+	3.28741i	1.06955	+	0.153778i	0.415020	+	0.909812i	$0.363775\pi$
$458$	−23.9935	−	10.0295i	−1.12114	−	0.468648i
$459$		−	1.96979i		−	0.0919419i
$460$	−9.46508	−	1.55317i	−0.441311	−	0.0724172i
$461$			13.2188i			0.615660i	0.951441	+	0.307830i	$0.0996027\pi$
$461$			13.2188i			0.615660i	−0.951441	+	0.307830i	$0.900397\pi$
$462$	−0.157710	+	0.377290i	−0.00733735	+	0.0175531i
$463$	−26.2501	−	3.77420i	−1.21995	−	0.175402i	−0.497893	−	0.867238i	$-0.665893\pi$
$463$	−26.2501	−	3.77420i	−1.21995	−	0.175402i	−0.722054	+	0.691836i	$0.756802\pi$
$464$	7.42977	+	16.8423i	0.344918	+	0.781883i
$465$	−3.82205	−	13.0167i	−0.177243	−	0.603635i
$466$	−13.9246	+	23.2965i	−0.645042	+	1.07919i
$467$	−26.4899	+	22.9537i	−1.22581	+	1.06217i	−0.229769	+	0.973245i	$0.573797\pi$
$467$	−26.4899	+	22.9537i	−1.22581	+	1.06217i	−0.996038	+	0.0889231i	$0.971657\pi$
$468$	5.67228	−	25.2863i	0.262201	−	1.16886i
$469$	−0.314792	+	1.07208i	−0.0145357	+	0.0495042i
$470$	0.0892529	−	0.805645i	0.00411693	−	0.0371616i
$471$	20.5951	+	13.2357i	0.948973	+	0.609868i
$472$	−21.8115	−	7.49544i	−1.00396	−	0.345006i
$473$	−0.0934837	+	0.107886i	−0.00429839	+	0.00496060i
$474$	−5.96626	−	18.1211i	−0.274039	−	0.832332i
$475$	−0.166697	+	0.0239674i	−0.00764859	+	0.00109970i
$476$	0.455260	+	1.24514i	0.0208668	+	0.0570709i
$477$	−3.52563	−	7.72006i	−0.161428	−	0.353477i
$478$	−4.48470	+	5.52848i	−0.205125	+	0.252867i
$479$	−15.6582	+	34.2867i	−0.715442	+	1.56660i	0.104742	+	0.994499i	$0.466598\pi$
$479$	−15.6582	+	34.2867i	−0.715442	+	1.56660i	−0.820184	+	0.572100i	$0.806129\pi$
$480$	12.2658	+	3.34286i	0.559854	+	0.152580i
$481$	36.2743	+	56.4439i	1.65397	+	2.57362i
$482$	7.66679	−	5.28648i	0.349213	−	0.240792i
$483$	4.71946	−	6.13175i	0.214743	−	0.279004i
$484$	−7.79857	+	20.5027i	−0.354480	+	0.931940i
$485$	9.69858	+	15.0913i	0.440390	+	0.685260i
$486$	23.0552	−	11.4475i	1.04581	−	0.519270i
$487$	−24.0293	−	10.9738i	−1.08887	−	0.497272i	−0.211646	−	0.977346i	$-0.567882\pi$
$487$	−24.0293	−	10.9738i	−1.08887	−	0.497272i	−0.877228	+	0.480075i	$0.840610\pi$
$488$	21.6991	−	12.5916i	0.982271	−	0.569994i
$489$	−3.95114	−	8.65178i	−0.178677	−	0.391247i
$490$	2.29669	−	8.87838i	0.103754	−	0.401084i
$491$	−0.621815	−	4.32482i	−0.0280621	−	0.195176i	0.970968	−	0.239210i	$-0.0768883\pi$
$491$	−0.621815	−	4.32482i	−0.0280621	−	0.195176i	−0.999030	+	0.0440334i	$0.985979\pi$
$492$	−9.28237	+	12.2340i	−0.418482	+	0.551552i
$493$	2.78271	−	3.21142i	0.125327	−	0.144635i
$494$	0.0488460	+	1.50404i	0.00219769	+	0.0676699i
$495$	0.198704	−	0.309190i	0.00893109	−	0.0138970i
$496$	−3.12678	−	23.9424i	−0.140396	−	1.07505i
$497$	1.93468	−	6.58892i	0.0867824	−	0.295554i
$498$	22.0277	+	23.8134i	0.987085	+	1.06710i
$499$	−27.6602	−	31.9215i	−1.23824	−	1.42900i	−0.865381	−	0.501115i	$-0.832923\pi$
$499$	−27.6602	−	31.9215i	−1.23824	−	1.42900i	−0.372858	−	0.927889i	$-0.621622\pi$
$500$	−1.99579	+	0.129770i	−0.0892542	+	0.00580347i
$501$	6.44477	+	21.9489i	0.287931	+	0.980603i
$502$	−3.61072	−	20.3901i	−0.161154	−	0.910055i
$503$	2.56665	−	17.8514i	0.114441	−	0.795955i	−0.849069	−	0.528282i	$-0.822836\pi$
$503$	2.56665	−	17.8514i	0.114441	−	0.795955i	0.963510	−	0.267673i	$-0.0862546\pi$
$504$	−2.86698	+	3.02006i	−0.127706	+	0.134524i
$505$		−	2.80271i		−	0.124719i
$506$	−0.709727	+	0.986800i	−0.0315512	+	0.0438686i
$507$	60.5022			2.68700
$508$	32.2618	−	6.79984i	1.43139	−	0.301694i
$509$	−16.5636	−	2.38149i	−0.734171	−	0.105558i	−0.234919	−	0.972015i	$-0.575483\pi$
$509$	−16.5636	−	2.38149i	−0.734171	−	0.105558i	−0.499251	+	0.866457i	$0.666392\pi$
$510$	−0.511716	−	2.88972i	−0.0226592	−	0.127959i
$511$	−0.768019	+	0.225511i	−0.0339752	+	0.00997600i
$512$	20.6441	+	9.26398i	0.912349	+	0.409414i
$513$	−0.271521	+	0.235274i	−0.0119879	+	0.0103876i
$514$	−31.7400	+	29.3599i	−1.39999	+	1.29501i
$515$	5.56499	+	1.63403i	0.245223	+	0.0720039i
$516$	−3.15334	+	1.69546i	−0.138818	+	0.0746386i
$517$	−0.0864146	−	0.0555353i	−0.00380051	−	0.00244244i
$518$	−0.349957	−	10.7757i	−0.0153762	−	0.473455i
$519$	31.8375	+	27.5873i	1.39751	+	1.21095i
$520$	−0.811133	+	17.8525i	−0.0355705	+	0.782883i
$521$	−17.8048	+	2.55994i	−0.780041	+	0.112153i	−0.520822	−	0.853665i	$-0.674374\pi$
$521$	−17.8048	+	2.55994i	−0.780041	+	0.112153i	−0.259220	+	0.965818i	$0.583465\pi$
$522$	12.9216	+	3.34261i	0.565565	+	0.146302i
$523$	−2.05150	+	0.936891i	−0.0897060	+	0.0409674i	−0.459763	−	0.888042i	$-0.652066\pi$
$523$	−2.05150	+	0.936891i	−0.0897060	+	0.0409674i	0.370057	+	0.929009i	$0.379338\pi$
$524$	−0.868049	+	11.1250i	−0.0379209	+	0.485997i
$525$	0.670238	−	1.46762i	0.0292516	−	0.0640520i
$526$	19.5136	−	9.68900i	0.850833	−	0.422460i
$527$	−4.68893	+	3.01339i	−0.204253	+	0.131265i
$528$	1.07071	−	1.20383i	0.0465966	−	0.0523901i
$529$	17.7789	−	14.5914i	0.772997	−	0.634410i
$530$	3.32235	+	4.81828i	0.144313	+	0.209293i
$531$	−14.0677	+	9.04073i	−0.610484	+	0.392334i
$532$	0.117257	−	0.211475i	0.00508372	−	0.00916862i
$533$	−19.6364	−	8.96763i	−0.850546	−	0.388431i
$534$	14.1742	−	17.4731i	0.613378	−	0.756136i
$535$	−3.56348	+	1.62739i	−0.154063	+	0.0703582i
$536$	2.54561	−	3.59147i	0.109954	−	0.155128i
$537$	0.443055	+	3.08151i	0.0191192	+	0.132977i
$538$	20.8971	−	6.88023i	0.900940	−	0.296628i
$539$	−0.878303	−	0.761054i	−0.0378312	−	0.0327809i
$540$	−3.43207	+	2.53474i	−0.147693	+	0.109078i
$541$	10.7066	−	16.6597i	0.460311	−	0.716258i	−0.531061	−	0.847333i	$-0.678207\pi$
$541$	10.7066	−	16.6597i	0.460311	−	0.716258i	0.991372	+	0.131075i	$0.0418430\pi$
$542$	3.62693	−	32.7386i	0.155790	−	1.40624i
$543$	−15.6856	−	4.60571i	−0.673134	−	0.197650i
$544$	−0.101984	−	5.22226i	−0.00437254	−	0.223903i
$545$	6.85734	+	7.91379i	0.293736	+	0.338990i
$546$	−12.3746	−	7.39643i	−0.529585	−	0.316538i
$547$	−3.36108	+	0.986902i	−0.143709	+	0.0421969i	−0.352796	−	0.935700i	$-0.614769\pi$
$547$	−3.36108	+	0.986902i	−0.143709	+	0.0421969i	0.209087	+	0.977897i	$0.432951\pi$
$548$	1.35508	−	1.33766i	0.0578861	−	0.0571420i
$549$	2.58871	−	18.0049i	0.110483	−	0.768429i
$550$	−0.0977493	+	0.233845i	−0.00416804	+	0.00997120i
$551$	−0.775040			−0.0330178
$552$	−25.4357	+	16.8038i	−1.08261	+	0.715217i
$553$	−4.30932			−0.183251
$554$	5.77945	−	13.8262i	0.245545	−	0.587417i
$555$	−3.39639	+	23.6224i	−0.144169	+	1.00272i
$556$	30.2806	+	30.6749i	1.28418	+	1.30091i
$557$	18.6533	−	5.47710i	0.790365	−	0.232072i	0.138455	−	0.990369i	$-0.455786\pi$
$557$	18.6533	−	5.47710i	0.790365	−	0.232072i	0.651910	+	0.758297i	$0.273968\pi$
$558$	−15.0273	−	8.98194i	−0.636155	−	0.380236i
$559$	−3.29575	−	3.80350i	−0.139395	−	0.160871i
$560$	1.58365	−	2.39548i	0.0669213	−	0.101227i
$561$	−0.356837	−	0.104777i	−0.0150657	−	0.00442367i
$562$	4.47698	−	40.4117i	0.188850	−	1.70466i
$563$	−7.49848	+	11.6679i	−0.316023	+	0.491742i	−0.962533	−	0.271164i	$-0.912591\pi$
$563$	−7.49848	+	11.6679i	−0.316023	+	0.491742i	0.646510	+	0.762905i	$0.276228\pi$
$564$	−1.53051	−	2.07233i	−0.0644460	−	0.0872608i
$565$	−14.1526	−	12.2633i	−0.595404	−	0.515921i
$566$	41.2508	−	13.5815i	1.73390	−	0.570874i
$567$	−1.11841	−	7.77870i	−0.0469687	−	0.326675i
$568$	−15.6451	+	22.0728i	−0.656453	+	0.926156i
$569$	−29.8962	+	13.6531i	−1.25331	+	0.572369i	−0.927768	−	0.373157i	$-0.878275\pi$
$569$	−29.8962	+	13.6531i	−1.25331	+	0.572369i	−0.325546	+	0.945526i	$0.605548\pi$
$570$	−0.337206	+	0.415687i	−0.0141240	+	0.0174112i
$571$	−17.3239	−	7.91156i	−0.724983	−	0.331088i	0.0185136	−	0.999829i	$-0.494107\pi$
$571$	−17.3239	−	7.91156i	−0.724983	−	0.331088i	−0.743496	+	0.668740i	$0.766834\pi$
$572$	1.98063	+	1.09820i	0.0828144	+	0.0459180i
$573$	12.0470	−	7.74211i	0.503269	−	0.323431i
$574$	1.96910	+	2.85572i	0.0821887	+	0.119195i
$575$	2.92513	−	3.80047i	0.121986	−	0.158491i
$576$	14.5492	−	7.58168i	0.606215	−	0.315903i
$577$	−24.7937	+	15.9340i	−1.03218	+	0.663339i	−0.943040	−	0.332680i	$-0.892047\pi$
$577$	−24.7937	+	15.9340i	−1.03218	+	0.663339i	−0.0891362	+	0.996019i	$0.528411\pi$
$578$	20.4534	−	10.1556i	0.850749	−	0.422419i
$579$	6.79132	−	14.8709i	0.282238	−	0.618014i
$580$	−9.17623	−	0.715995i	−0.381022	−	0.0297301i
$581$	6.66515	−	3.04387i	0.276517	−	0.126281i
$582$	55.1985	+	14.2789i	2.28805	+	0.591880i
$583$	0.734140	−	0.105553i	0.0304050	−	0.00437158i
$584$	3.15035	+	0.143137i	0.130362	+	0.00592306i
$585$	9.79252	+	8.48527i	0.404871	+	0.350823i
$586$	−0.571896	−	17.6095i	−0.0236248	−	0.727441i
$587$	2.53058	+	1.62631i	0.104448	+	0.0671248i	0.591822	−	0.806069i	$-0.298409\pi$
$587$	2.53058	+	1.62631i	0.104448	+	0.0671248i	−0.487374	+	0.873193i	$0.662045\pi$
$588$	−13.8028	−	25.6714i	−0.569219	−	1.05867i
$589$	0.975425	+	0.286411i	0.0401917	+	0.0118013i
$590$	8.46538	−	7.83058i	0.348514	−	0.322380i
$591$	−27.8191	+	24.1054i	−1.14433	+	0.991563i
$592$	−12.4933	+	40.5977i	−0.513473	+	1.66856i
$593$	−42.2912	+	12.4178i	−1.73669	+	0.509938i	−0.988195	−	0.153201i	$-0.951042\pi$
$593$	−42.2912	+	12.4178i	−1.73669	+	0.509938i	−0.748496	+	0.663139i	$0.769224\pi$
$594$	0.0942802	+	0.532410i	0.00386836	+	0.0218451i
$595$	−0.656132	−	0.0943376i	−0.0268988	−	0.00386746i
$596$	−4.16757	−	19.7730i	−0.170710	−	0.809934i
$597$	28.7473			1.17655
$598$	−30.8744	−	29.7177i	−1.26255	−	1.21525i
$599$			36.8386i			1.50518i	0.658488	+	0.752592i	$0.271197\pi$
$599$			36.8386i			1.50518i	−0.658488	+	0.752592i	$0.728803\pi$
$600$	−4.37643	+	4.61009i	−0.178667	+	0.188206i
$601$	−1.82131	+	12.6675i	−0.0742929	+	0.516719i	0.918362	+	0.395741i	$0.129512\pi$
$601$	−1.82131	+	12.6675i	−0.0742929	+	0.516719i	−0.992655	+	0.120978i	$0.961397\pi$
$602$	0.141012	+	0.796311i	0.00574723	+	0.0324552i
$603$	−0.899230	−	3.06250i	−0.0366195	−	0.124714i
$604$	0.233013	+	3.58362i	0.00948118	+	0.145815i
$605$	−7.18243	−	8.28897i	−0.292007	−	0.336995i
$606$	−6.04883	−	6.53919i	−0.245717	−	0.265636i
$607$	2.55304	−	8.69485i	0.103625	−	0.352913i	−0.891315	−	0.453384i	$-0.850217\pi$
$607$	2.55304	−	8.69485i	0.103625	−	0.352913i	0.994940	+	0.100471i	$0.0320349\pi$
$608$	−0.707668	+	0.637811i	−0.0286997	+	0.0258666i
$609$	4.01429	−	6.24635i	0.162667	−	0.253115i
$610$	0.407169	+	12.5373i	0.0164858	+	0.507620i
$611$	2.37153	−	2.73689i	0.0959416	−	0.110723i
$612$	−3.01702	−	2.28912i	−0.121956	−	0.0925320i
$613$	−0.231293	−	1.60868i	−0.00934186	−	0.0649740i	0.984617	−	0.174725i	$-0.0559037\pi$
$613$	−0.231293	−	1.60868i	−0.00934186	−	0.0649740i	−0.993959	+	0.109751i	$0.964995\pi$
$614$	−1.28015	+	4.94874i	−0.0516629	+	0.199715i
$615$	−3.18974	−	6.98455i	−0.128623	−	0.281644i
$616$	−0.182648	−	0.314757i	−0.00735908	−	0.0126819i
$617$	30.0949	+	13.7439i	1.21158	+	0.553309i	0.915679	−	0.401911i	$-0.131654\pi$
$617$	30.0949	+	13.7439i	1.21158	+	0.553309i	0.295898	+	0.955220i	$0.404381\pi$
$618$	16.5106	−	8.19795i	0.664155	−	0.329770i
$619$	−5.30180	−	8.24976i	−0.213097	−	0.331586i	0.718206	−	0.695831i	$-0.244964\pi$
$619$	−5.30180	−	8.24976i	−0.213097	−	0.331586i	−0.931303	+	0.364245i	$0.881327\pi$
$620$	11.2841	+	4.29213i	0.453182	+	0.172376i
$621$	0.866309	−	10.1942i	0.0347638	−	0.409081i
$622$	−21.2307	+	14.6392i	−0.851275	+	0.586979i
$623$	−2.74759	−	4.27534i	−0.110080	−	0.171288i
$624$	36.6368	+	43.4034i	1.46665	+	1.73753i
$625$	0.415415	−	0.909632i	0.0166166	−	0.0363853i
$626$	11.1436	−	13.7372i	0.445389	−	0.549050i
$627$	0.0281783	+	0.0617019i	0.00112533	+	0.00246414i
$628$	−20.4618	+	7.48141i	−0.816513	+	0.298541i
$629$	9.70538	−	1.39542i	0.386979	−	0.0556391i
$630$	−0.651128	−	1.97765i	−0.0259416	−	0.0787916i
$631$	−24.6394	+	28.4354i	−0.980879	+	1.13199i	0.0103641	+	0.999946i	$0.496701\pi$
$631$	−24.6394	+	28.4354i	−0.980879	+	1.13199i	−0.991243	+	0.132049i	$0.957845\pi$
$632$	16.0563	+	5.51770i	0.638687	+	0.219482i
$633$	17.9968	+	11.5658i	0.715309	+	0.459701i
$634$	0.505112	−	4.55942i	0.0200606	−	0.181078i
$635$	−4.64445	+	15.8175i	−0.184309	+	0.627700i
$636$	18.1504	+	4.07154i	0.719712	+	0.161447i
$637$	30.9644	−	26.8308i	1.22685	−	1.06308i
$638$	−0.598425	+	1.00120i	−0.0236919	+	0.0396378i
$639$	5.52658	+	18.8218i	0.218628	+	0.744579i
$640$	−8.96779	+	6.89773i	−0.354483	+	0.272657i
$641$	−19.5377	−	2.80909i	−0.771691	−	0.110952i	−0.254789	−	0.966997i	$-0.582006\pi$
$641$	−19.5377	−	2.80909i	−0.771691	−	0.110952i	−0.516902	+	0.856044i	$0.672915\pi$
$642$	−4.80196	+	11.4877i	−0.189518	+	0.453384i
$643$		−	8.65607i		−	0.341362i	−0.985326	−	0.170681i	$-0.945403\pi$
$643$		−	8.65607i		−	0.341362i	0.985326	−	0.170681i	$-0.0545968\pi$
$644$	1.80849	+	6.64419i	0.0712646	+	0.261818i
$645$		−	1.79012i		−	0.0704860i
$646$	0.202901	+	0.0848142i	0.00798302	+	0.00333697i
$647$	−47.9839	−	6.89904i	−1.88644	−	0.271229i	−0.900068	−	0.435750i	$-0.856483\pi$
$647$	−47.9839	−	6.89904i	−1.88644	−	0.271229i	−0.986374	+	0.164520i	$0.947392\pi$
$648$	−5.79279	+	30.4151i	−0.227562	+	1.19482i
$649$	−0.411717	−	1.40218i	−0.0161613	−	0.0550404i
$650$	−7.66982	−	4.58432i	−0.300835	−	0.179812i
$651$	−7.36047	+	6.37788i	−0.288479	+	0.249969i
$652$	8.25905	+	1.85269i	0.323450	+	0.0725568i
$653$	−8.27532	+	28.1832i	−0.323838	+	1.10289i	0.623278	+	0.782001i	$0.285801\pi$
$653$	−8.27532	+	28.1832i	−0.323838	+	1.10289i	−0.947116	+	0.320891i	$0.896018\pi$
$654$	33.0789	+	3.66463i	1.29349	+	0.143298i
$655$	−4.69369	−	3.01645i	−0.183398	−	0.117862i
$656$	−3.68029	−	13.1615i	−0.143691	−	0.513872i
$657$	1.49736	−	1.72804i	0.0584175	−	0.0674174i
$658$	−0.552729	+	0.181982i	−0.0215476	+	0.00709440i
$659$	−13.7454	+	1.97629i	−0.535444	+	0.0769852i	−0.404732	−	0.914435i	$-0.632635\pi$
$659$	−13.7454	+	1.97629i	−0.535444	+	0.0769852i	−0.130711	+	0.991420i	$0.541726\pi$
$660$	0.276621	+	0.756563i	0.0107675	+	0.0294492i
$661$	−13.9877	−	30.6287i	−0.544058	−	1.19132i	−0.959502	−	0.281702i	$-0.909101\pi$
$661$	−13.9877	−	30.6287i	−0.544058	−	1.19132i	0.415444	−	0.909619i	$-0.363626\pi$
$662$	−6.87434	−	5.57647i	−0.267179	−	0.216736i
$663$	5.44663	−	11.9265i	0.211530	−	0.463185i
$664$	−28.7315	+	2.80720i	−1.11500	+	0.108941i
$665$	0.0653655	+	0.101711i	0.00253477	+	0.00394417i
$666$	17.4828	+	25.3546i	0.677443	+	0.982472i
$667$	15.8137	−	15.3962i	0.612309	−	0.596143i
$668$	−19.0274	−	7.23742i	−0.736193	−	0.280024i
$669$	−14.5880	−	22.6993i	−0.564003	−	0.877606i
$670$	0.978864	+	1.97143i	0.0378168	+	0.0761628i
$671$	1.44599	+	0.660363i	0.0558219	+	0.0254930i
$672$	−1.47503	−	9.00689i	−0.0569005	−	0.347448i
$673$	−6.77535	−	14.8359i	−0.261171	−	0.571884i	0.732935	−	0.680298i	$-0.238150\pi$
$673$	−6.77535	−	14.8359i	−0.261171	−	0.571884i	−0.994106	+	0.108415i	$0.965423\pi$
$674$	−9.04261	−	2.33917i	−0.348308	−	0.0901015i
$675$	−0.303601	−	2.11159i	−0.0116856	−	0.0812753i
$676$	−32.5446	+	42.8932i	−1.25171	+	1.64974i
$677$	19.8781	−	22.9405i	0.763976	−	0.881675i	−0.231869	−	0.972747i	$-0.574484\pi$
$677$	19.8781	−	22.9405i	0.763976	−	0.881675i	0.995844	+	0.0910722i	$0.0290294\pi$
$678$	−59.4871	+	1.93194i	−2.28459	+	0.0741957i
$679$	6.96268	−	10.8341i	0.267203	−	0.415776i
$680$	2.32393	+	1.19162i	0.0891186	+	0.0456964i
$681$	6.14257	−	20.9197i	0.235384	−	0.801643i
$682$	1.12313	−	1.03891i	0.0430069	−	0.0397819i
$683$	0.0840754	+	0.0970282i	0.00321706	+	0.00371268i	0.757356	−	0.653002i	$-0.226491\pi$
$683$	0.0840754	+	0.0970282i	0.00321706	+	0.00371268i	−0.754139	+	0.656715i	$0.771945\pi$
$684$	0.0448187	+	0.689288i	0.00171369	+	0.0263556i
$685$	0.268223	+	0.913482i	0.0102483	+	0.0349024i
$686$	−13.4808	+	2.38721i	−0.514701	+	0.0911442i
$687$	5.88135	−	40.9057i	0.224388	−	1.56065i
$688$	0.494201	−	3.14757i	0.0188412	−	0.120000i
$689$			26.1481i			0.996165i
$690$	−1.37739	−	15.1802i	−0.0524364	−	0.577900i
$691$	−4.48496			−0.170616			−0.0853079	−	0.996355i	$-0.527187\pi$
$691$	−4.48496			−0.170616			−0.0853079	+	0.996355i	$0.527187\pi$
$692$	−36.6837	+	7.73185i	−1.39451	+	0.293921i
$693$	−0.261170	−	0.0375506i	−0.00992103	−	0.00142643i
$694$	−22.2995	+	3.94883i	−0.846476	+	0.149896i
$695$	−20.6785	+	6.07175i	−0.784379	+	0.230315i
$696$	−22.9549	+	18.1337i	−0.870105	+	0.687356i
$697$	−2.38418	+	2.06590i	−0.0903072	+	0.0782516i
$698$	15.1474	+	16.3754i	0.573338	+	0.619816i
$699$	−41.3835	−	12.1513i	−1.56527	−	0.459604i
$700$	0.679946	+	1.26461i	0.0256995	+	0.0477978i
$701$	41.7874	+	26.8552i	1.57829	+	1.01431i	0.976465	+	0.215677i	$0.0691958\pi$
$701$	41.7874	+	26.8552i	1.57829	+	1.01431i	0.601825	+	0.798628i	$0.294441\pi$
$702$	−19.0520	+	0.618744i	−0.719071	+	0.0233530i
$703$	−1.35157	−	1.17114i	−0.0509754	−	0.0441705i
$704$	0.277519	+	1.40663i	0.0104594	+	0.0530145i
$705$	1.27501	−	0.183318i	0.0480196	−	0.00690417i
$706$	−5.97950	+	23.1152i	−0.225042	+	0.869951i
$707$	−1.83026	+	0.835851i	−0.0688339	+	0.0314354i
$708$	2.85112	−	36.5401i	0.107152	−	1.37326i
$709$	4.54749	−	9.95762i	0.170785	−	0.373966i	−0.804814	−	0.593527i	$-0.797735\pi$
$709$	4.54749	−	9.95762i	0.170785	−	0.373966i	0.975599	+	0.219561i	$0.0704624\pi$
$710$	−6.01600	−	12.1162i	−0.225777	−	0.454713i
$711$	10.3558	−	6.65526i	0.388372	−	0.249592i
$712$	4.76322	+	19.4478i	0.178509	+	0.728836i
$713$	−25.5919	+	13.5330i	−0.958423	+	0.506815i
$714$	−1.73447	+	1.19596i	−0.0649108	+	0.0447579i
$715$	−0.952601	+	0.612199i	−0.0356252	+	0.0228950i
$716$	−2.42297	−	1.34346i	−0.0905507	−	0.0502076i
$717$	−10.2904	−	4.69948i	−0.384303	−	0.175505i
$718$	21.8282	+	17.7070i	0.814619	+	0.660819i
$719$	−20.8491	+	9.52149i	−0.777542	+	0.355091i	−0.764333	−	0.644821i	$-0.776932\pi$
$719$	−20.8491	+	9.52149i	−0.777542	+	0.355091i	−0.0132085	+	0.999913i	$0.504205\pi$
$720$	−0.106136	+	8.20236i	−0.00395544	+	0.305684i
$721$	−0.592572	−	4.12143i	−0.0220685	−	0.153490i
$722$	8.39050	+	25.4842i	0.312262	+	0.948425i
$723$	11.1845	+	9.69144i	0.415957	+	0.360429i
$724$	11.7026	−	8.64292i	0.434925	−	0.321211i
$725$	2.48806	−	3.87150i	0.0924043	−	0.143784i
$726$	−34.6471	−	3.83836i	−1.28588	−	0.142455i
$727$	−8.50035	−	2.49593i	−0.315260	−	0.0925688i	0.120274	−	0.992741i	$-0.461623\pi$
$727$	−8.50035	−	2.49593i	−0.315260	−	0.0925688i	−0.435535	+	0.900172i	$0.643441\pi$
$728$	11.9001	−	4.79444i	0.441048	−	0.177694i
$729$	5.28203	+	6.09579i	0.195631	+	0.225770i
$730$	−0.808976	+	1.35346i	−0.0299416	+	0.0500938i
$731$	−0.705687	+	0.207209i	−0.0261008	+	0.00766388i
$732$	28.0081	+	28.3728i	1.03521	+	1.04869i
$733$	1.19865	−	8.33676i	0.0442730	−	0.307925i	−0.955638	−	0.294545i	$-0.904832\pi$
$733$	1.19865	−	8.33676i	0.0442730	−	0.307925i	0.999910	−	0.0133799i	$-0.00425909\pi$
$734$	−6.60022	−	2.75895i	−0.243619	−	0.101835i
$735$	14.5734			0.537550
$736$	1.76894	−	27.0716i	0.0652040	−	0.997872i
$737$	0.278934			0.0102747
$738$	−9.14230	−	3.82156i	−0.336533	−	0.140674i
$739$	0.554734	−	3.85826i	0.0204062	−	0.141928i	−0.977071	−	0.212913i	$-0.931705\pi$
$739$	0.554734	−	3.85826i	0.0204062	−	0.141928i	0.997477	+	0.0709844i	$0.0226141\pi$
$740$	−14.9203	−	15.1146i	−0.548480	−	0.555623i
$741$	−2.29453	+	0.673734i	−0.0842915	+	0.0247502i
$742$	2.15567	−	3.60655i	0.0791371	−	0.132401i
$743$	−15.1611	−	17.4968i	−0.556207	−	0.641897i	0.406111	−	0.913824i	$-0.366885\pi$
$743$	−15.1611	−	17.4968i	−0.556207	−	0.641897i	−0.962318	+	0.271927i	$0.912339\pi$
$744$	35.5911	−	14.3393i	1.30483	−	0.525703i
$745$	9.69445	+	2.84655i	0.355177	+	0.104289i
$746$	−35.6899	−	3.95388i	−1.30670	−	0.144762i
$747$	−11.3162	+	17.6083i	−0.414038	+	0.644255i
$748$	0.266227	−	0.196620i	0.00973422	−	0.00718915i
$749$	2.12547	+	1.84173i	0.0776631	+	0.0672954i
$750$	−0.993943	−	3.01887i	−0.0362936	−	0.110234i
$751$	3.95497	+	27.5074i	0.144319	+	1.00376i	0.925308	+	0.379216i	$0.123806\pi$
$751$	3.95497	+	27.5074i	0.144319	+	1.00376i	−0.780990	+	0.624544i	$0.785285\pi$
$752$	2.29246	+	0.0296636i	0.0835973	+	0.00108172i
$753$	29.9332	−	13.6700i	1.09083	−	0.498164i
$754$	−31.9353	−	25.9059i	−1.16301	−	0.943437i
$755$	−1.63333	−	0.745917i	−0.0594430	−	0.0271467i
$756$	2.67881	+	1.48532i	0.0974273	+	0.0540205i
$757$	32.5275	−	20.9041i	1.18223	−	0.759774i	0.206436	−	0.978460i	$-0.433813\pi$
$757$	32.5275	−	20.9041i	1.18223	−	0.759774i	0.975795	+	0.218686i	$0.0701771\pi$
$758$	−22.4909	+	15.5081i	−0.816906	+	0.563280i
$759$	−1.80065	−	0.699186i	−0.0653596	−	0.0253788i
$760$	−0.113317	−	0.462664i	−0.00411046	−	0.0167826i
$761$	−26.3198	+	16.9147i	−0.954093	+	0.613158i	−0.922357	−	0.386338i	$-0.873740\pi$
$761$	−26.3198	+	16.9147i	−0.954093	+	0.613158i	−0.0317357	+	0.999496i	$0.510103\pi$
$762$	23.3013	+	46.9286i	0.844116	+	1.70005i
$763$	3.12289	−	6.83819i	0.113056	−	0.247559i
$764$	−0.991355	+	12.7053i	−0.0358660	+	0.459660i
$765$	1.72245	−	0.786618i	0.0622754	−	0.0284402i
$766$	8.64043	−	33.4016i	0.312191	−	1.20685i
$767$	50.9961	−	7.33214i	1.84136	−	0.264748i
$768$	−6.03663	+	35.4479i	−0.217828	+	1.27912i
$769$	−3.83319	−	3.32148i	−0.138228	−	0.119775i	0.583002	−	0.812470i	$-0.301878\pi$
$769$	−3.83319	−	3.32148i	−0.138228	−	0.119775i	−0.721231	+	0.692695i	$0.756423\pi$
$770$	0.181860	−	0.00590620i	0.00655378	−	0.000212845i
$771$	−57.8023	−	37.1473i	−2.08170	−	1.33783i
$772$	6.88968	+	12.8139i	0.247965	+	0.461183i
$773$	−29.9423	−	8.79186i	−1.07695	−	0.316221i	−0.305292	−	0.952259i	$-0.598754\pi$
$773$	−29.9423	−	8.79186i	−1.07695	−	0.316221i	−0.771658	+	0.636037i	$0.780572\pi$
$774$	−1.56868	−	1.69585i	−0.0563850	−	0.0609560i
$775$	−4.56203	+	3.95302i	−0.163873	+	0.141997i
$776$	−39.8148	+	31.4524i	−1.42927	+	1.12908i
$777$	16.4391	−	4.82695i	0.589749	−	0.173166i
$778$	46.4586	−	8.22697i	1.66562	−	0.294951i
$779$	0.569538	+	0.0818872i	0.0204058	+	0.00293391i
$780$	−27.7889	+	5.85708i	−0.995002	+	0.209717i
$781$	−1.71430			−0.0613425
$782$	−5.82477	+	2.30010i	−0.208293	+	0.0822516i
$783$		−	9.81761i		−	0.350853i
$784$	25.6245	+	4.02331i	0.915161	+	0.143689i
$785$	1.55028	−	10.7824i	0.0553317	−	0.384841i
$786$	−17.4613	+	3.09207i	−0.622823	+	0.110291i
$787$	5.71943	+	19.4786i	0.203876	+	0.694337i	0.996421	+	0.0845245i	$0.0269371\pi$
$787$	5.71943	+	19.4786i	0.203876	+	0.694337i	−0.792546	+	0.609813i	$0.791245\pi$
$788$	−2.12549	−	32.6889i	−0.0757175	−	1.16449i
$789$	22.6727	+	26.1656i	0.807168	+	0.931521i
$790$	−6.23172	+	5.76442i	−0.221715	+	0.205089i
$791$	−3.78760	+	12.8994i	−0.134671	+	0.458649i
$792$	0.925028	+	0.474317i	0.0328694	+	0.0168541i
$793$	−30.2990	+	47.1461i	−1.07595	+	1.67421i
$794$	30.1604	−	0.979507i	1.07035	−	0.0347614i
$795$	−6.09070	+	7.02904i	−0.216015	+	0.249294i
$796$	−15.4634	+	20.3805i	−0.548086	+	0.722368i
$797$	0.908337	+	6.31762i	0.0321750	+	0.223782i	0.999564	−	0.0295118i	$-0.00939525\pi$
$797$	0.908337	+	6.31762i	0.0321750	+	0.223782i	−0.967389	+	0.253294i	$0.918486\pi$
$798$	0.372022	+	0.0962357i	0.0131694	+	0.00340671i
$799$	−0.219850	−	0.481404i	−0.00777773	−	0.0170308i
$800$	−0.914227	−	5.58249i	−0.0323228	−	0.197371i
$801$	13.2055	+	6.03077i	0.466595	+	0.213087i
$802$	13.1238	+	26.4312i	0.463416	+	0.933318i
$803$	0.108032	+	0.168101i	0.00381237	+	0.00593217i
$804$	6.53860	+	2.48707i	0.230599	+	0.0877124i
$805$	−3.35419	−	0.776790i	−0.118220	−	0.0273783i
$806$	30.6187	+	44.4053i	1.07850	+	1.56411i
$807$	18.9020	+	29.4121i	0.665382	+	1.03535i
$808$	7.88969	−	0.770860i	0.277558	−	0.0271188i
$809$	9.39922	−	20.5814i	0.330459	−	0.723604i	−0.669354	−	0.742944i	$-0.733429\pi$
$809$	9.39922	−	20.5814i	0.330459	−	0.723604i	0.999813	+	0.0193395i	$0.00615634\pi$
$810$	−12.0226	−	9.75274i	−0.422431	−	0.342676i
$811$	−5.05490	−	11.0687i	−0.177502	−	0.388675i	0.799879	−	0.600161i	$-0.204897\pi$
$811$	−5.05490	−	11.0687i	−0.177502	−	0.388675i	−0.977381	+	0.211487i	$0.932170\pi$
$812$	2.26906	+	6.20590i	0.0796283	+	0.217784i
$813$	51.8119	−	7.44942i	1.81712	−	0.261263i
$814$	−2.55646	+	0.841695i	−0.0896038	+	0.0295014i
$815$	−2.77147	+	3.19845i	−0.0970804	+	0.112037i
$816$	7.99387	−	2.23528i	0.279841	−	0.0782505i
$817$	0.112850	+	0.0725245i	0.00394813	+	0.00253731i
$818$	19.7772	+	2.19101i	0.691494	+	0.0766068i
$819$	2.62073	−	8.92538i	0.0915756	−	0.311878i
$820$	6.66751	+	1.49567i	0.232839	+	0.0522310i
$821$	−6.63990	+	5.75351i	−0.231734	+	0.200799i	−0.762986	−	0.646415i	$-0.776267\pi$
$821$	−6.63990	+	5.75351i	−0.231734	+	0.200799i	0.531252	+	0.847214i	$0.321722\pi$
$822$	2.59729	+	1.55243i	0.0905910	+	0.0541471i
$823$	8.07179	+	27.4900i	0.281365	+	0.958241i	0.971989	+	0.235027i	$0.0755178\pi$
$823$	8.07179	+	27.4900i	0.281365	+	0.958241i	−0.690624	+	0.723214i	$0.742664\pi$
$824$	−3.06923	+	16.1150i	−0.106922	+	0.561393i
$825$	−0.398674	−	0.0573207i	−0.0138801	−	0.00199565i
$826$	−7.63824	−	3.19285i	−0.265769	−	0.111093i
$827$			50.9764i			1.77262i	0.463088	+	0.886312i	$0.346741\pi$
$827$			50.9764i			1.77262i	−0.463088	+	0.886312i	$0.653259\pi$
$828$	−14.6072	−	13.1737i	−0.507636	−	0.457819i
$829$		−	7.35340i		−	0.255394i	−0.991813	−	0.127697i	$-0.959241\pi$
$829$		−	7.35340i		−	0.255394i	0.991813	−	0.127697i	$-0.0407585\pi$
$830$	5.56682	−	13.3175i	0.193227	−	0.462256i
$831$	23.5717	+	3.38910i	0.817693	+	0.117567i
$832$	−50.4782	+	2.62680i	−1.75002	+	0.0910680i
$833$	−1.68689	−	5.74502i	−0.0584473	−	0.199053i
$834$	−35.1422	+	58.7948i	−1.21688	+	2.03590i
$835$	7.69254	−	6.66562i	0.266211	−	0.230673i
$836$	−0.0589011	−	0.0132128i	−0.00203714	−	0.000456975i
$837$	−3.62803	+	12.3559i	−0.125403	+	0.427084i
$838$	−4.25878	+	38.4420i	−0.147117	+	1.32796i
$839$	31.3949	+	20.1763i	1.08387	+	0.696562i	0.955449	−	0.295157i	$-0.0953721\pi$
$839$	31.3949	+	20.1763i	1.08387	+	0.696562i	0.128423	+	0.991719i	$0.459008\pi$
$840$	4.31572	+	1.48308i	0.148906	+	0.0511711i
$841$	−5.12168	+	5.91073i	−0.176610	+	0.203818i
$842$	−11.0652	−	33.6079i	−0.381330	−	1.15820i
$843$	63.9552	−	9.19537i	2.20273	−	0.316705i
$844$	−17.8803	+	6.53754i	−0.615464	+	0.225031i
$845$	−11.1834	−	24.4883i	−0.384721	−	0.842422i
$846$	1.04722	−	1.29095i	0.0360042	−	0.0443838i
$847$	−3.27095	+	7.16237i	−0.112391	+	0.246102i
$848$	−12.6498	+	10.6777i	−0.434396	+	0.366674i
$849$	37.3124	+	58.0592i	1.28056	+	1.99259i
$850$	−1.07503	+	0.741262i	−0.0368731	+	0.0254251i
$851$	50.8419	−	2.95332i	1.74284	−	0.101239i
$852$	−40.1856	−	15.2853i	−1.37674	−	0.523667i
$853$	−0.732709	−	1.14012i	−0.0250875	−	0.0390369i	0.828483	−	0.560014i	$-0.189204\pi$
$853$	−0.732709	−	1.14012i	−0.0250875	−	0.0390369i	−0.853571	+	0.520977i	$0.825568\pi$
$854$	8.06582	−	4.00488i	0.276007	−	0.137044i
$855$	−0.314161	−	0.143473i	−0.0107441	−	0.00490666i
$856$	−5.56124	−	9.58369i	−0.190079	−	0.327564i
$857$	9.23741	+	20.2271i	0.315544	+	0.690944i	0.999246	−	0.0388163i	$-0.0123587\pi$
$857$	9.23741	+	20.2271i	0.315544	+	0.690944i	−0.683703	+	0.729761i	$0.739631\pi$
$858$	−0.901322	+	3.48427i	−0.0307706	+	0.118951i
$859$	−7.41435	−	51.5680i	−0.252974	−	1.75948i	−0.580147	−	0.814512i	$-0.697005\pi$
$859$	−7.41435	−	51.5680i	−0.252974	−	1.75948i	0.327173	−	0.944964i	$-0.393904\pi$
$860$	1.26911	+	0.962921i	0.0432764	+	0.0328353i
$861$	−3.60986	+	4.16600i	−0.123024	+	0.141977i
$862$	1.37628	+	42.3776i	0.0468763	+	1.44339i
$863$	9.02337	−	14.0406i	0.307159	−	0.477949i	−0.653017	−	0.757343i	$-0.726497\pi$
$863$	9.02337	−	14.0406i	0.307159	−	0.477949i	0.960177	+	0.279394i	$0.0901335\pi$
$864$	−8.07930	−	8.96420i	−0.274863	−	0.304968i
$865$	5.28103	−	17.9856i	0.179561	−	0.611527i
$866$	−11.7713	−	12.7256i	−0.400006	−	0.432433i
$867$	23.7646	+	27.4258i	0.807088	+	0.931430i
$868$	−0.562369	−	8.64894i	−0.0190881	−	0.293564i
$869$	0.303082	+	1.03220i	0.0102814	+	0.0350151i
$870$	−2.55044	−	14.4026i	−0.0864680	−	0.488294i
$871$	−1.39949	+	9.73366i	−0.0474199	+	0.329813i
$872$	−20.3915	+	21.4802i	−0.690542	+	0.727411i
$873$			36.7887i			1.24511i
$874$	1.01277	+	0.528174i	0.0342575	+	0.0178657i
$875$	−0.717907			−0.0242697
$876$	1.03357	+	4.90379i	0.0349212	+	0.165684i
$877$	35.1933	+	5.06003i	1.18839	+	0.170865i	0.708015	−	0.706197i	$-0.249591\pi$
$877$	35.1933	+	5.06003i	1.18839	+	0.170865i	0.480377	+	0.877062i	$0.340500\pi$
$878$	6.85266	+	38.6977i	0.231266	+	1.30598i
$879$	26.8646	−	7.88817i	0.906122	−	0.266061i
$880$	−0.685165	−	0.210849i	−0.0230969	−	0.00710773i
$881$	11.4607	−	9.93075i	0.386120	−	0.334575i	−0.440073	−	0.897962i	$-0.645047\pi$
$881$	11.4607	−	9.93075i	0.386120	−	0.334575i	0.826193	+	0.563387i	$0.190502\pi$
$882$	13.8060	−	12.7707i	0.464871	−	0.430011i
$883$	−19.4427	−	5.70889i	−0.654299	−	0.192120i	−0.0622992	−	0.998058i	$-0.519843\pi$
$883$	−19.4427	−	5.70889i	−0.654299	−	0.192120i	−0.592000	+	0.805938i	$0.701661\pi$
$884$	5.52552	+	10.2767i	0.185843	+	0.345644i
$885$	15.4165	+	9.90756i	0.518219	+	0.333039i
$886$	1.69805	+	52.2855i	0.0570472	+	1.75656i
$887$	−9.93809	−	8.61141i	−0.333689	−	0.289143i	0.471859	−	0.881674i	$-0.343583\pi$
$887$	−9.93809	−	8.61141i	−0.333689	−	0.289143i	−0.805547	+	0.592531i	$0.798129\pi$
$888$	−67.4318	−	3.06379i	−2.26286	−	0.102814i
$889$	11.7145	−	1.68429i	0.392891	−	0.0564891i
$890$	−9.69226	−	2.50722i	−0.324885	−	0.0840423i
$891$	−1.78456	+	0.814979i	−0.0597849	+	0.0273028i
$892$	23.9397	+	1.86795i	0.801561	+	0.0625435i
$893$	−0.0400988	+	0.0878041i	−0.00134185	+	0.00293825i
$894$	28.7622	−	14.2812i	0.961952	−	0.477634i
$895$	1.16535	−	0.748924i	0.0389533	−	0.0250338i
$896$	7.17889	+	3.79915i	0.239830	+	0.126921i
$897$	33.4332	−	59.3275i	1.11630	−	1.98089i
$898$	−11.1858	−	16.2223i	−0.373273	−	0.541345i
$899$	−23.3701	+	15.0190i	−0.779435	+	0.500913i
$900$	−3.58703	−	1.98890i	−0.119568	−	0.0662966i
$901$	3.47593	+	1.58741i	0.115800	+	0.0528842i
$902$	0.545534	−	0.672503i	0.0181643	−	0.0223919i
$903$	−1.16901	+	0.533867i	−0.0389021	+	0.0177660i
$904$	30.6289	−	43.2128i	1.01870	−	1.43724i
$905$	1.03522	+	7.20009i	0.0344117	+	0.239339i
$906$	−5.42067	+	1.78472i	−0.180090	+	0.0592933i
$907$	−10.6227	−	9.20466i	−0.352722	−	0.305636i	0.460419	−	0.887702i	$-0.347699\pi$
$907$	−10.6227	−	9.20466i	−0.352722	−	0.305636i	−0.813142	+	0.582066i	$0.802245\pi$
$908$	11.5269	+	15.6076i	0.382535	+	0.517958i
$909$	3.10744	−	4.83527i	0.103067	−	0.160376i
$910$	−0.706341	+	6.37581i	−0.0234150	+	0.211356i
$911$	−41.7918	−	12.2712i	−1.38462	−	0.406562i	−0.497247	−	0.867609i	$-0.665656\pi$
$911$	−41.7918	−	12.2712i	−1.38462	−	0.406562i	−0.887376	+	0.461047i	$0.847474\pi$
$912$	−1.26291	−	0.834910i	−0.0418193	−	0.0276466i
$913$	−1.19786	−	1.38241i	−0.0396435	−	0.0457511i
$914$	−28.0406	−	16.7601i	−0.927500	−	0.554376i
$915$	−19.1266	+	5.61608i	−0.632306	+	0.185662i
$916$	25.8366	+	26.1731i	0.853666	+	0.864783i
$917$	−0.570041	+	3.96472i	−0.0188244	+	0.130927i
$918$	−1.07436	+	2.57019i	−0.0354592	+	0.0848290i
$919$	31.7866			1.04854			0.524271	−	0.851551i	$-0.324338\pi$
$919$	31.7866			1.04854			0.524271	+	0.851551i	$0.324338\pi$
$920$	11.5030	+	7.18903i	0.379241	+	0.237015i
$921$	−8.12313			−0.267666
$922$	7.20978	−	17.2479i	0.237441	−	0.568030i
$923$	8.60113	−	59.8222i	0.283110	−	1.96907i
$924$	0.411563	−	0.406272i	0.0135394	−	0.0133654i
$925$	10.1890	−	2.99176i	0.335012	−	0.0983684i
$926$	32.1928	+	19.2419i	1.05792	+	0.632329i
$927$	7.78910	+	8.98910i	0.255828	+	0.295241i
$928$	−0.508299	−	26.0282i	−0.0166857	−	0.854419i
$929$	20.4343	+	6.00005i	0.670427	+	0.196855i	0.599193	−	0.800605i	$-0.295488\pi$
$929$	20.4343	+	6.00005i	0.670427	+	0.196855i	0.0712338	+	0.997460i	$0.477306\pi$
$930$	−2.11253	+	19.0689i	−0.0692727	+	0.625293i
$931$	−0.590424	+	0.918718i	−0.0193504	+	0.0301098i
$932$	30.8752	−	22.8027i	1.01135	−	0.746928i
$933$	−30.9720	−	26.8374i	−1.01398	−	0.878616i
$934$	47.0836	−	15.5019i	1.54062	−	0.507238i
$935$	0.0235505	+	0.163797i	0.000770182	+	0.00535673i
$936$	−21.1929	+	29.9000i	−0.692711	+	0.977311i
$937$	−4.69791	+	2.14547i	−0.153474	+	0.0700893i	−0.490671	−	0.871345i	$-0.663248\pi$
$937$	−4.69791	+	2.14547i	−0.153474	+	0.0700893i	0.337197	+	0.941434i	$0.390521\pi$
$938$	0.995478	−	1.22717i	0.0325035	−	0.0400684i
$939$	25.5697	+	11.6773i	0.834437	+	0.381075i
$940$	−0.555872	+	1.00253i	−0.0181306	+	0.0326989i
$941$	−11.7352	+	7.54173i	−0.382555	+	0.245853i	−0.717758	−	0.696293i	$-0.754832\pi$
$941$	−11.7352	+	7.54173i	−0.382555	+	0.245853i	0.335203	+	0.942146i	$0.391195\pi$
$942$	−19.6536	−	28.5030i	−0.640350	−	0.928677i
$943$	−13.2474	+	9.64310i	−0.431395	+	0.314022i
$944$	24.3716	+	21.6765i	0.793228	+	0.705510i
$945$	−1.28839	+	0.828001i	−0.0419115	+	0.0269349i
$946$	0.180821	−	0.0897824i	0.00587901	−	0.00291908i
$947$	11.9554	−	26.1787i	0.388499	−	0.850694i	−0.609809	−	0.792548i	$-0.708754\pi$
$947$	11.9554	−	26.1787i	0.388499	−	0.850694i	0.998308	−	0.0581460i	$-0.0185189\pi$
$948$	−2.09883	+	26.8987i	−0.0681667	+	0.873629i
$949$	−6.40809	+	2.92648i	−0.208015	+	0.0949974i
$950$	0.230580	+	0.0596471i	0.00748100	+	0.00193521i
$951$	7.21570	−	1.03746i	0.233985	−	0.0336420i
$952$	0.0850992	−	1.87297i	0.00275808	−	0.0607035i
$953$	−1.87318	−	1.62312i	−0.0606782	−	0.0525779i	0.623994	−	0.781429i	$-0.285509\pi$
$953$	−1.87318	−	1.62312i	−0.0606782	−	0.0525779i	−0.684672	+	0.728851i	$0.740055\pi$
$954$	0.389593	+	11.9961i	0.0126135	+	0.388389i
$955$	−5.36042	−	3.44493i	−0.173459	−	0.111475i
$956$	8.86700	−	4.76754i	0.286779	−	0.154193i
$957$	−1.77851	−	0.522217i	−0.0574910	−	0.0168809i
$958$	39.1316	−	36.1972i	1.26428	−	1.16948i
$959$	0.516541	−	0.447585i	0.0166800	−	0.0144533i
$960$	−14.1812	−	11.0518i	−0.457697	−	0.356695i
$961$	5.21824	−	1.53221i	0.168330	−	0.0494263i
$962$	−16.5453	−	93.4331i	−0.533442	−	3.01240i
$963$	−7.95209	−	1.14334i	−0.256253	−	0.0368436i
$964$	−12.8870	+	2.71620i	−0.415063	+	0.0874830i
$965$	−7.27434			−0.234169
$966$	−9.50236	+	5.42666i	−0.305733	+	0.174600i
$967$			24.3653i			0.783536i	0.920064	+	0.391768i	$0.128136\pi$
$967$			24.3653i			0.783536i	−0.920064	+	0.391768i	$0.871864\pi$
$968$	21.3582	−	22.4985i	0.686478	−	0.723130i
$969$	−0.0497355	+	0.345918i	−0.00159773	+	0.0111125i
$970$	−4.42368	−	24.9810i	−0.142036	−	0.802091i
$971$	14.1018	+	48.0264i	0.452549	+	1.54124i	0.797913	+	0.602772i	$0.205937\pi$
$971$	14.1018	+	48.0264i	0.452549	+	1.54124i	−0.345364	+	0.938469i	$0.612245\pi$
$972$	−36.3263	+	2.36200i	−1.16517	+	0.0757612i
$973$	10.1320	+	11.6929i	0.324816	+	0.374858i
$974$	25.3683	+	27.4248i	0.812852	+	0.878747i
$975$	4.00052	−	13.6245i	0.128119	−	0.436334i
$976$	−35.1808	+	4.59446i	−1.12611	+	0.147065i
$977$	10.4839	−	16.3132i	0.335409	−	0.521907i	−0.632052	−	0.774926i	$-0.717787\pi$
$977$	10.4839	−	16.3132i	0.335409	−	0.521907i	0.967461	+	0.253019i	$0.0814235\pi$
$978$	0.436613	+	13.4439i	0.0139613	+	0.429889i
$979$	−0.830820	+	0.958818i	−0.0265531	+	0.0306439i
$980$	−7.83917	+	10.3319i	−0.250413	+	0.330040i
$981$	3.05613	+	21.2559i	0.0975748	+	0.678648i
$982$	−1.54749	+	5.98219i	−0.0493825	+	0.190899i
$983$	10.4649	+	22.9148i	0.333777	+	0.730870i	0.999888	−	0.0149832i	$-0.00476948\pi$
$983$	10.4649	+	22.9148i	0.333777	+	0.730870i	−0.666111	+	0.745853i	$0.732042\pi$
$984$	18.7844	−	10.9002i	0.598824	−	0.347486i
$985$	14.8988	+	6.80407i	0.474717	+	0.216796i
$986$	−5.38246	+	2.67253i	−0.171413	+	0.0851107i
$987$	−0.499958	−	0.777949i	−0.0159138	−	0.0247624i
$988$	0.756597	−	1.98912i	0.0240706	−	0.0632823i
$989$	−3.74327	+	0.762006i	−0.119029	+	0.0242304i
$990$	−0.427908	+	0.295055i	−0.0135998	+	0.00937747i
$991$	18.3489	+	28.5514i	0.582871	+	0.906966i	0.999998	−	0.00188260i	$-0.000599250\pi$
$991$	18.3489	+	28.5514i	0.582871	+	0.906966i	−0.417127	+	0.908848i	$0.636963\pi$
$992$	−8.97883	+	32.9456i	−0.285078	+	1.04602i
$993$	5.84353	−	12.7955i	0.185439	−	0.406054i
$994$	−6.11811	+	7.54205i	−0.194055	+	0.239219i
$995$	−5.31375	−	11.6355i	−0.168457	−	0.368870i
$996$	−15.7536	−	43.0862i	−0.499171	−	1.36524i
$997$	41.8667	−	6.01952i	1.32593	−	0.190640i	0.557289	−	0.830319i	$-0.311842\pi$
$997$	41.8667	−	6.01952i	1.32593	−	0.190640i	0.768642	+	0.639679i	$0.220933\pi$
$998$	18.6805	+	56.7378i	0.591321	+	1.79600i
$999$	14.8351	−	17.1207i	0.469363	−	0.541674i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	920.2.bb.a.11.7	✓	480
8.3	odd	2		920.2.bb.b.11.25	yes	480
23.21	odd	22		920.2.bb.b.251.25	yes	480
184.67	even	22	inner	920.2.bb.a.251.7	yes	480

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
920.2.bb.a.11.7	✓	480	1.1	even	1	trivial
920.2.bb.a.251.7	yes	480	184.67	even	22	inner
920.2.bb.b.11.25	yes	480	8.3	odd	2
920.2.bb.b.251.25	yes	480	23.21	odd	22

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 920 = 2^{3} \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	920.bb (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.30481 - 0.545420i) q^{2} +(0.319837 - 2.22451i) q^{3} +(1.40503 + 1.42333i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(-1.63062 + 2.72811i) q^{6} +(0.470129 + 0.542558i) q^{7} +(-1.05698 - 2.62351i) q^{8} +(-1.96769 - 0.577767i) q^{9} +(1.40561 + 0.155720i) q^{10} +(0.0968928 - 0.150768i) q^{11} +(3.61561 - 2.67029i) q^{12} +(4.77506 + 4.13762i) q^{13} +(-0.317505 - 0.964351i) q^{14} +(0.319837 + 2.22451i) q^{15} +(-0.0517542 + 3.99967i) q^{16} +(0.839909 - 0.383573i) q^{17} +(2.25233 + 1.82709i) q^{18} +(-0.153192 - 0.0699606i) q^{19} +(-1.74912 - 0.969834i) q^{20} +(1.35729 - 0.872280i) q^{21} +(-0.208658 + 0.143876i) q^{22} +(4.51547 - 1.61572i) q^{23} +(-6.17409 + 1.51218i) q^{24} +(0.841254 - 0.540641i) q^{25} +(-3.97379 - 8.00320i) q^{26} +(0.886208 - 1.94052i) q^{27} +(-0.111693 + 1.43146i) q^{28} +(4.18618 - 1.91177i) q^{29} +(0.795969 - 3.07700i) q^{30} +(-5.97499 + 0.859074i) q^{31} +(2.24903 - 5.19056i) q^{32} +(-0.304396 - 0.263761i) q^{33} +(-1.30513 + 0.0423860i) q^{34} +(-0.603942 - 0.388130i) q^{35} +(-1.94232 - 3.61246i) q^{36} +(10.1890 + 2.99176i) q^{37} +(0.161728 + 0.174839i) q^{38} +(10.7314 - 9.29884i) q^{39} +(1.75330 + 2.21945i) q^{40} +(-3.27821 + 0.962568i) q^{41} +(-2.24676 + 0.397861i) q^{42} +(-0.788426 - 0.113359i) q^{43} +(0.350731 - 0.0739238i) q^{44} +2.05076 q^{45} +(-6.77305 - 0.354631i) q^{46} -0.573162i q^{47} +(8.88076 + 1.39437i) q^{48} +(0.922856 - 6.41861i) q^{49} +(-1.39255 + 0.246595i) q^{50} +(-0.584631 - 1.99107i) q^{51} +(0.819925 + 12.6100i) q^{52} +(2.71012 + 3.12764i) q^{53} +(-2.21473 + 2.04865i) q^{54} +(-0.0504917 + 0.171959i) q^{55} +(0.926486 - 1.80686i) q^{56} +(-0.204625 + 0.318403i) q^{57} +(-6.50487 + 0.211256i) q^{58} +(5.33984 - 6.16250i) q^{59} +(-2.71684 + 3.58076i) q^{60} +(1.26232 + 8.77960i) q^{61} +(8.26476 + 2.13795i) q^{62} +(-0.611598 - 1.33921i) q^{63} +(-5.76557 + 5.54601i) q^{64} +(-5.74734 - 2.62472i) q^{65} +(0.253317 + 0.510180i) q^{66} +(0.841448 + 1.30932i) q^{67} +(1.72605 + 0.656536i) q^{68} +(-2.14997 - 10.5615i) q^{69} +(0.576333 + 0.835836i) q^{70} +(-5.17146 - 8.04695i) q^{71} +(0.564044 + 5.77294i) q^{72} +(-0.463174 + 1.01421i) q^{73} +(-11.6629 - 9.46094i) q^{74} +(-0.933600 - 2.04430i) q^{75} +(-0.115663 - 0.316341i) q^{76} +(0.127353 - 0.0183105i) q^{77} +(-19.0742 + 6.28004i) q^{78} +(-3.93088 + 4.53647i) q^{79} +(-1.07718 - 3.85223i) q^{80} +(-9.20892 - 5.91821i) q^{81} +(4.80242 + 0.532034i) q^{82} +(2.87550 - 9.79305i) q^{83} +(3.14859 + 0.706298i) q^{84} +(-0.697821 + 0.604666i) q^{85} +(0.966915 + 0.577934i) q^{86} +(-2.91386 - 9.92368i) q^{87} +(-0.497955 - 0.0948395i) q^{88} +(-7.00700 - 1.00745i) q^{89} +(-2.67585 - 1.11853i) q^{90} +4.53596i q^{91} +(8.64409 + 4.15688i) q^{92} +13.5662i q^{93} +(-0.312614 + 0.747865i) q^{94} +(0.166697 + 0.0239674i) q^{95} +(-10.8272 - 6.66312i) q^{96} +(-5.05401 - 17.2124i) q^{97} +(-4.70498 + 7.87169i) q^{98} +(-0.277764 + 0.240684i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 480 q + 2 q^{2} - 4 q^{4} - 48 q^{5} + 5 q^{6} - q^{8} - 48 q^{9} + 2 q^{10} + 3 q^{12} + 32 q^{16} + 7 q^{18} - 4 q^{20} + 8 q^{21} + 4 q^{23} + 2 q^{24} - 48 q^{25} + 7 q^{26} + 12 q^{27} + 5 q^{30}+ \cdots - 98 q^{98}+O(q^{100}) \) 480 * q + 2 * q^2 - 4 * q^4 - 48 * q^5 + 5 * q^6 - q^8 - 48 * q^9 + 2 * q^10 + 3 * q^12 + 32 * q^16 + 7 * q^18 - 4 * q^20 + 8 * q^21 + 4 * q^23 + 2 * q^24 - 48 * q^25 + 7 * q^26 + 12 * q^27 + 5 * q^30 - 118 * q^32 - 23 * q^34 + 54 * q^36 + 8 * q^37 - 65 * q^38 + 43 * q^40 - 10 * q^42 - q^44 + 480 * q^45 - 184 * q^46 - 44 * q^48 - 48 * q^49 - 9 * q^50 - 7 * q^52 + 32 * q^53 - 27 * q^54 + 67 * q^56 - 40 * q^58 - 12 * q^59 + 14 * q^60 - 8 * q^61 - 128 * q^62 + 59 * q^64 + 88 * q^66 + 10 * q^68 - 20 * q^69 + 3 * q^72 - 11 * q^74 + 110 * q^76 + 118 * q^78 - 144 * q^79 - q^80 - 56 * q^81 - 59 * q^82 - 162 * q^84 - 18 * q^86 - 76 * q^88 + 7 * q^90 - 149 * q^92 + 168 * q^94 + 65 * q^96 - 98 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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