LMFDB - Embedded newform 966.2.q.g.169.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(85,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 0, 8]))

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

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

chi := DirichletCharacter("966.85");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.q (of order $11$, 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:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$30$
Relative dimension:	$3$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			169.3
Character	$\chi$	$=$	966.169
Dual form			966.2.q.g.463.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.142315 - 0.989821i) q^{2} +(-0.415415 - 0.909632i) q^{3} +(-0.959493 - 0.281733i) q^{4} +(1.64194 + 1.89490i) q^{5} +(-0.959493 + 0.281733i) q^{6} +(-0.841254 - 0.540641i) q^{7} +(-0.415415 + 0.909632i) q^{8} +(-0.654861 + 0.755750i) q^{9} +O(q^{10})$	\(q+(0.142315 - 0.989821i) q^{2} +(-0.415415 - 0.909632i) q^{3} +(-0.959493 - 0.281733i) q^{4} +(1.64194 + 1.89490i) q^{5} +(-0.959493 + 0.281733i) q^{6} +(-0.841254 - 0.540641i) q^{7} +(-0.415415 + 0.909632i) q^{8} +(-0.654861 + 0.755750i) q^{9} +(2.10928 - 1.35555i) q^{10} +(0.480568 + 3.34242i) q^{11} +(0.142315 + 0.989821i) q^{12} +(0.299822 - 0.192684i) q^{13} +(-0.654861 + 0.755750i) q^{14} +(1.04157 - 2.28073i) q^{15} +(0.841254 + 0.540641i) q^{16} +(-5.90931 + 1.73513i) q^{17} +(0.654861 + 0.755750i) q^{18} +(7.17045 + 2.10543i) q^{19} +(-1.04157 - 2.28073i) q^{20} +(-0.142315 + 0.989821i) q^{21} +3.37679 q^{22} +(0.948373 + 4.70113i) q^{23} +1.00000 q^{24} +(-0.183100 + 1.27349i) q^{25} +(-0.148054 - 0.324192i) q^{26} +(0.959493 + 0.281733i) q^{27} +(0.654861 + 0.755750i) q^{28} +(4.93625 - 1.44941i) q^{29} +(-2.10928 - 1.35555i) q^{30} +(-2.68100 + 5.87056i) q^{31} +(0.654861 - 0.755750i) q^{32} +(2.84074 - 1.82563i) q^{33} +(0.876486 + 6.09609i) q^{34} +(-0.356827 - 2.48179i) q^{35} +(0.841254 - 0.540641i) q^{36} +(-2.94373 + 3.39725i) q^{37} +(3.10447 - 6.79783i) q^{38} +(-0.299822 - 0.192684i) q^{39} +(-2.40574 + 0.706390i) q^{40} +(3.88764 + 4.48658i) q^{41} +(0.959493 + 0.281733i) q^{42} +(0.138748 + 0.303817i) q^{43} +(0.480568 - 3.34242i) q^{44} -2.50731 q^{45} +(4.78824 - 0.269680i) q^{46} +4.57223 q^{47} +(0.142315 - 0.989821i) q^{48} +(0.415415 + 0.909632i) q^{49} +(1.23447 + 0.362473i) q^{50} +(4.03314 + 4.65449i) q^{51} +(-0.341963 + 0.100409i) q^{52} +(-0.868959 - 0.558446i) q^{53} +(0.415415 - 0.909632i) q^{54} +(-5.54448 + 6.39867i) q^{55} +(0.841254 - 0.540641i) q^{56} +(-1.06354 - 7.39710i) q^{57} +(-0.732159 - 5.09228i) q^{58} +(4.45211 - 2.86120i) q^{59} +(-1.64194 + 1.89490i) q^{60} +(5.21228 - 11.4133i) q^{61} +(5.42926 + 3.48917i) q^{62} +(0.959493 - 0.281733i) q^{63} +(-0.654861 - 0.755750i) q^{64} +(0.857405 + 0.251757i) q^{65} +(-1.40277 - 3.07164i) q^{66} +(0.581094 - 4.04160i) q^{67} +6.15878 q^{68} +(3.88233 - 2.81559i) q^{69} -2.50731 q^{70} +(-1.72016 + 11.9640i) q^{71} +(-0.415415 - 0.909632i) q^{72} +(2.76078 + 0.810639i) q^{73} +(2.94373 + 3.39725i) q^{74} +(1.23447 - 0.362473i) q^{75} +(-6.28683 - 4.04030i) q^{76} +(1.40277 - 3.07164i) q^{77} +(-0.233392 + 0.269349i) q^{78} +(-0.698742 + 0.449054i) q^{79} +(0.356827 + 2.48179i) q^{80} +(-0.142315 - 0.989821i) q^{81} +(4.99418 - 3.20957i) q^{82} +(-5.84621 + 6.74689i) q^{83} +(0.415415 - 0.909632i) q^{84} +(-12.9906 - 8.34855i) q^{85} +(0.320470 - 0.0940986i) q^{86} +(-3.36902 - 3.88806i) q^{87} +(-3.24001 - 0.951352i) q^{88} +(-2.01280 - 4.40742i) q^{89} +(-0.356827 + 2.48179i) q^{90} -0.356399 q^{91} +(0.414503 - 4.77789i) q^{92} +6.45378 q^{93} +(0.650696 - 4.52569i) q^{94} +(7.78385 + 17.0442i) q^{95} +(-0.959493 - 0.281733i) q^{96} +(-8.92608 - 10.3012i) q^{97} +(0.959493 - 0.281733i) q^{98} +(-2.84074 - 1.82563i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 10 q^{5} - 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) $ 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 - 10 * q^5 - 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9	\( 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 10 q^{5} - 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9} + 10 q^{10} + 9 q^{11} + 3 q^{12} - 12 q^{13} - 3 q^{14} - q^{15} - 3 q^{16} + 5 q^{17} + 3 q^{18} + 18 q^{19} + q^{20} - 3 q^{21} + 2 q^{22} + 21 q^{23} + 30 q^{24} + 13 q^{25} - 10 q^{26} + 3 q^{27} + 3 q^{28} + 17 q^{29} - 10 q^{30} + 12 q^{31} + 3 q^{32} + 13 q^{33} + 17 q^{34} - q^{35} - 3 q^{36} + 16 q^{37} + 15 q^{38} + 12 q^{39} - 12 q^{40} + 10 q^{41} + 3 q^{42} - 35 q^{43} + 9 q^{44} + 12 q^{45} + q^{46} - 8 q^{47} + 3 q^{48} - 3 q^{49} - 2 q^{50} + 6 q^{51} - q^{52} + 42 q^{53} - 3 q^{54} + 49 q^{55} - 3 q^{56} + 15 q^{57} + 5 q^{58} - 6 q^{59} + 10 q^{60} - 18 q^{61} - 34 q^{62} + 3 q^{63} - 3 q^{64} + 34 q^{65} - 2 q^{66} + 72 q^{67} - 6 q^{68} - 10 q^{69} + 12 q^{70} + 17 q^{71} + 3 q^{72} + 9 q^{73} - 16 q^{74} - 2 q^{75} + 18 q^{76} + 2 q^{77} + 10 q^{78} - 56 q^{79} + q^{80} - 3 q^{81} + 12 q^{82} + 52 q^{83} - 3 q^{84} - 53 q^{85} - 31 q^{86} + 5 q^{87} + 13 q^{88} - 104 q^{89} - q^{90} + 34 q^{91} - 12 q^{92} + 32 q^{93} - 14 q^{94} - 92 q^{95} - 3 q^{96} - 82 q^{97} + 3 q^{98} - 13 q^{99}+O(q^{100}) \) 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 - 10 * q^5 - 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9 + 10 * q^10 + 9 * q^11 + 3 * q^12 - 12 * q^13 - 3 * q^14 - q^15 - 3 * q^16 + 5 * q^17 + 3 * q^18 + 18 * q^19 + q^20 - 3 * q^21 + 2 * q^22 + 21 * q^23 + 30 * q^24 + 13 * q^25 - 10 * q^26 + 3 * q^27 + 3 * q^28 + 17 * q^29 - 10 * q^30 + 12 * q^31 + 3 * q^32 + 13 * q^33 + 17 * q^34 - q^35 - 3 * q^36 + 16 * q^37 + 15 * q^38 + 12 * q^39 - 12 * q^40 + 10 * q^41 + 3 * q^42 - 35 * q^43 + 9 * q^44 + 12 * q^45 + q^46 - 8 * q^47 + 3 * q^48 - 3 * q^49 - 2 * q^50 + 6 * q^51 - q^52 + 42 * q^53 - 3 * q^54 + 49 * q^55 - 3 * q^56 + 15 * q^57 + 5 * q^58 - 6 * q^59 + 10 * q^60 - 18 * q^61 - 34 * q^62 + 3 * q^63 - 3 * q^64 + 34 * q^65 - 2 * q^66 + 72 * q^67 - 6 * q^68 - 10 * q^69 + 12 * q^70 + 17 * q^71 + 3 * q^72 + 9 * q^73 - 16 * q^74 - 2 * q^75 + 18 * q^76 + 2 * q^77 + 10 * q^78 - 56 * q^79 + q^80 - 3 * q^81 + 12 * q^82 + 52 * q^83 - 3 * q^84 - 53 * q^85 - 31 * q^86 + 5 * q^87 + 13 * q^88 - 104 * q^89 - q^90 + 34 * q^91 - 12 * q^92 + 32 * q^93 - 14 * q^94 - 92 * q^95 - 3 * q^96 - 82 * q^97 + 3 * q^98 - 13 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$1$	$e\left(\frac{3}{11}\right)$

Coefficient data

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

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

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

$2$	0.142315	−	0.989821i	0.100632	−	0.699909i
$2$	0.142315	−	0.989821i	0.100632	−	0.699909i
$3$	−0.415415	−	0.909632i	−0.239840	−	0.525176i
$3$	−0.415415	−	0.909632i	−0.239840	−	0.525176i
$4$	−0.959493	−	0.281733i	−0.479746	−	0.140866i
$5$	1.64194	+	1.89490i	0.734296	+	0.847423i	0.992948	−	0.118547i	$-0.0378238\pi$
$5$	1.64194	+	1.89490i	0.734296	+	0.847423i	−0.258652	+	0.965971i	$0.583278\pi$
$6$	−0.959493	+	0.281733i	−0.391711	+	0.115017i
$7$	−0.841254	−	0.540641i	−0.317964	−	0.204343i
$7$	−0.841254	−	0.540641i	−0.317964	−	0.204343i
$8$	−0.415415	+	0.909632i	−0.146871	+	0.321603i
$9$	−0.654861	+	0.755750i	−0.218287	+	0.251917i
$10$	2.10928	−	1.35555i	0.667013	−	0.428663i
$11$	0.480568	+	3.34242i	0.144897	+	1.00778i	0.924412	+	0.381395i	$0.124556\pi$
$11$	0.480568	+	3.34242i	0.144897	+	1.00778i	−0.779515	+	0.626383i	$0.784535\pi$
$12$	0.142315	+	0.989821i	0.0410828	+	0.285737i
$13$	0.299822	−	0.192684i	0.0831557	−	0.0534409i	−0.498402	−	0.866946i	$-0.666080\pi$
$13$	0.299822	−	0.192684i	0.0831557	−	0.0534409i	0.581558	+	0.813505i	$0.302443\pi$
$14$	−0.654861	+	0.755750i	−0.175019	+	0.201983i
$15$	1.04157	−	2.28073i	0.268933	−	0.588881i
$16$	0.841254	+	0.540641i	0.210313	+	0.135160i
$17$	−5.90931	+	1.73513i	−1.43322	+	0.420831i	−0.903955	−	0.427628i	$-0.859349\pi$
$17$	−5.90931	+	1.73513i	−1.43322	+	0.420831i	−0.529262	+	0.848458i	$0.677531\pi$
$18$	0.654861	+	0.755750i	0.154352	+	0.178132i
$19$	7.17045	+	2.10543i	1.64501	+	0.483020i	0.967580	−	0.252564i	$-0.0812738\pi$
$19$	7.17045	+	2.10543i	1.64501	+	0.483020i	0.677434	+	0.735584i	$0.263092\pi$
$20$	−1.04157	−	2.28073i	−0.232903	−	0.509986i
$21$	−0.142315	+	0.989821i	−0.0310556	+	0.215997i
$22$	3.37679			0.719935
$23$	0.948373	+	4.70113i	0.197750	+	0.980253i
$23$	0.948373	+	4.70113i	0.197750	+	0.980253i
$24$	1.00000			0.204124
$25$	−0.183100	+	1.27349i	−0.0366200	+	0.254698i
$26$	−0.148054	−	0.324192i	−0.0290357	−	0.0635793i
$27$	0.959493	+	0.281733i	0.184655	+	0.0542195i
$28$	0.654861	+	0.755750i	0.123757	+	0.142823i
$29$	4.93625	−	1.44941i	0.916638	−	0.269149i	0.210805	−	0.977528i	$-0.432391\pi$
$29$	4.93625	−	1.44941i	0.916638	−	0.269149i	0.705832	+	0.708379i	$0.250573\pi$
$30$	−2.10928	−	1.35555i	−0.385100	−	0.247489i
$31$	−2.68100	+	5.87056i	−0.481521	+	1.05438i	0.500522	+	0.865724i	$0.333142\pi$
$31$	−2.68100	+	5.87056i	−0.481521	+	1.05438i	−0.982043	+	0.188660i	$0.939586\pi$
$32$	0.654861	−	0.755750i	0.115764	−	0.133599i
$33$	2.84074	−	1.82563i	0.494509	−	0.317802i
$34$	0.876486	+	6.09609i	0.150316	+	1.04547i
$35$	−0.356827	−	2.48179i	−0.0603148	−	0.419498i
$36$	0.841254	−	0.540641i	0.140209	−	0.0901068i
$37$	−2.94373	+	3.39725i	−0.483947	+	0.558505i	−0.944238	−	0.329263i	$-0.893200\pi$
$37$	−2.94373	+	3.39725i	−0.483947	+	0.558505i	0.460291	+	0.887768i	$0.347745\pi$
$38$	3.10447	−	6.79783i	0.503611	−	1.10275i
$39$	−0.299822	−	0.192684i	−0.0480100	−	0.0308541i
$40$	−2.40574	+	0.706390i	−0.380381	+	0.111690i
$41$	3.88764	+	4.48658i	0.607148	+	0.700686i	0.973214	−	0.229903i	$-0.0738408\pi$
$41$	3.88764	+	4.48658i	0.607148	+	0.700686i	−0.366065	+	0.930589i	$0.619295\pi$
$42$	0.959493	+	0.281733i	0.148053	+	0.0434723i
$43$	0.138748	+	0.303817i	0.0211589	+	0.0463316i	0.919916	−	0.392114i	$-0.128256\pi$
$43$	0.138748	+	0.303817i	0.0211589	+	0.0463316i	−0.898757	+	0.438446i	$0.855529\pi$
$44$	0.480568	−	3.34242i	0.0724483	−	0.503889i
$45$	−2.50731			−0.373767
$46$	4.78824	−	0.269680i	0.705988	−	0.0397622i
$47$	4.57223			0.666928			0.333464	−	0.942763i	$-0.391782\pi$
$47$	4.57223			0.666928			0.333464	+	0.942763i	$0.391782\pi$
$48$	0.142315	−	0.989821i	0.0205414	−	0.142868i
$49$	0.415415	+	0.909632i	0.0593450	+	0.129947i
$50$	1.23447	+	0.362473i	0.174580	+	0.0512614i
$51$	4.03314	+	4.65449i	0.564753	+	0.651760i
$52$	−0.341963	+	0.100409i	−0.0474217	+	0.0139243i
$53$	−0.868959	−	0.558446i	−0.119361	−	0.0767084i	0.479598	−	0.877488i	$-0.340782\pi$
$53$	−0.868959	−	0.558446i	−0.119361	−	0.0767084i	−0.598959	+	0.800780i	$0.704419\pi$
$54$	0.415415	−	0.909632i	0.0565308	−	0.123785i
$55$	−5.54448	+	6.39867i	−0.747617	+	0.862797i
$56$	0.841254	−	0.540641i	0.112417	−	0.0722462i
$57$	−1.06354	−	7.39710i	−0.140870	−	0.979770i
$58$	−0.732159	−	5.09228i	−0.0961371	−	0.668648i
$59$	4.45211	−	2.86120i	0.579615	−	0.372496i	−0.217739	−	0.976007i	$-0.569868\pi$
$59$	4.45211	−	2.86120i	0.579615	−	0.372496i	0.797355	+	0.603511i	$0.206232\pi$
$60$	−1.64194	+	1.89490i	−0.211973	+	0.244630i
$61$	5.21228	−	11.4133i	0.667364	−	1.46132i	−0.208133	−	0.978101i	$-0.566739\pi$
$61$	5.21228	−	11.4133i	0.667364	−	1.46132i	0.875497	−	0.483223i	$-0.160534\pi$
$62$	5.42926	+	3.48917i	0.689517	+	0.443126i
$63$	0.959493	−	0.281733i	0.120885	−	0.0354950i
$64$	−0.654861	−	0.755750i	−0.0818576	−	0.0944687i
$65$	0.857405	+	0.251757i	0.106348	+	0.0312266i
$66$	−1.40277	−	3.07164i	−0.172669	−	0.378093i
$67$	0.581094	−	4.04160i	0.0709919	−	0.493760i	−0.923043	−	0.384697i	$-0.874306\pi$
$67$	0.581094	−	4.04160i	0.0709919	−	0.493760i	0.994035	−	0.109063i	$-0.0347849\pi$
$68$	6.15878			0.746862
$69$	3.88233	−	2.81559i	0.467377	−	0.338957i
$70$	−2.50731			−0.299680
$71$	−1.72016	+	11.9640i	−0.204146	+	1.41986i	0.587669	+	0.809102i	$0.300046\pi$
$71$	−1.72016	+	11.9640i	−0.204146	+	1.41986i	−0.791814	+	0.610762i	$0.790863\pi$
$72$	−0.415415	−	0.909632i	−0.0489571	−	0.107201i
$73$	2.76078	+	0.810639i	0.323125	+	0.0948781i	0.439272	−	0.898354i	$-0.355236\pi$
$73$	2.76078	+	0.810639i	0.323125	+	0.0948781i	−0.116147	+	0.993232i	$0.537054\pi$
$74$	2.94373	+	3.39725i	0.342202	+	0.394922i
$75$	1.23447	−	0.362473i	0.142544	−	0.0418548i
$76$	−6.28683	−	4.04030i	−0.721148	−	0.463454i
$77$	1.40277	−	3.07164i	0.159861	−	0.350046i
$78$	−0.233392	+	0.269349i	−0.0264264	+	0.0304977i
$79$	−0.698742	+	0.449054i	−0.0786146	+	0.0505225i	−0.579358	−	0.815073i	$-0.696697\pi$
$79$	−0.698742	+	0.449054i	−0.0786146	+	0.0505225i	0.500743	+	0.865596i	$0.333060\pi$
$80$	0.356827	+	2.48179i	0.0398945	+	0.277472i
$81$	−0.142315	−	0.989821i	−0.0158128	−	0.109980i
$82$	4.99418	−	3.20957i	0.551515	−	0.354437i
$83$	−5.84621	+	6.74689i	−0.641705	+	0.740567i	−0.979675	−	0.200590i	$-0.935714\pi$
$83$	−5.84621	+	6.74689i	−0.641705	+	0.740567i	0.337970	+	0.941157i	$0.390260\pi$
$84$	0.415415	−	0.909632i	0.0453255	−	0.0992490i
$85$	−12.9906	−	8.34855i	−1.40903	−	0.905527i
$86$	0.320470	−	0.0940986i	0.0345572	−	0.0101469i
$87$	−3.36902	−	3.88806i	−0.361197	−	0.416844i
$88$	−3.24001	−	0.951352i	−0.345386	−	0.101415i
$89$	−2.01280	−	4.40742i	−0.213357	−	0.467186i	0.772449	−	0.635077i	$-0.219032\pi$
$89$	−2.01280	−	4.40742i	−0.213357	−	0.467186i	−0.985806	+	0.167891i	$0.946304\pi$
$90$	−0.356827	+	2.48179i	−0.0376129	+	0.261603i
$91$	−0.356399			−0.0373608
$92$	0.414503	−	4.77789i	0.0432149	−	0.498129i
$93$	6.45378			0.669225
$94$	0.650696	−	4.52569i	0.0671141	−	0.466789i
$95$	7.78385	+	17.0442i	0.798606	+	1.74870i
$96$	−0.959493	−	0.281733i	−0.0979278	−	0.0287542i
$97$	−8.92608	−	10.3012i	−0.906306	−	1.04593i	−0.998739	−	0.0502136i	$-0.984010\pi$
$97$	−8.92608	−	10.3012i	−0.906306	−	1.04593i	0.0924328	−	0.995719i	$-0.470536\pi$
$98$	0.959493	−	0.281733i	0.0969234	−	0.0284593i
$99$	−2.84074	−	1.82563i	−0.285505	−	0.183483i
$100$	0.534467	−	1.17032i	0.0534467	−	0.117032i
$101$	7.72387	−	8.91382i	0.768553	−	0.886958i	−0.227674	−	0.973737i	$-0.573112\pi$
$101$	7.72387	−	8.91382i	0.768553	−	0.886958i	0.996228	+	0.0867795i	$0.0276575\pi$
$102$	5.18109	−	3.32969i	0.513005	−	0.329688i
$103$	−0.755012	−	5.25122i	−0.0743935	−	0.517418i	−0.992611	−	0.121341i	$-0.961280\pi$
$103$	−0.755012	−	5.25122i	−0.0743935	−	0.517418i	0.918217	−	0.396077i	$-0.129629\pi$
$104$	0.0507209	+	0.352772i	0.00497360	+	0.0345921i
$105$	−2.10928	+	1.35555i	−0.205845	+	0.132288i
$106$	−0.676427	+	0.780639i	−0.0657004	+	0.0758223i
$107$	−1.45376	+	3.18329i	−0.140540	+	0.307740i	−0.966794	−	0.255558i	$-0.917741\pi$
$107$	−1.45376	+	3.18329i	−0.140540	+	0.307740i	0.826253	+	0.563299i	$0.190468\pi$
$108$	−0.841254	−	0.540641i	−0.0809497	−	0.0520232i
$109$	3.69791	−	1.08580i	0.354195	−	0.104001i	−0.0997944	−	0.995008i	$-0.531819\pi$
$109$	3.69791	−	1.08580i	0.354195	−	0.104001i	0.453990	+	0.891007i	$0.350000\pi$
$110$	5.54448	+	6.39867i	0.528645	+	0.610089i
$111$	4.31312	+	1.26645i	0.409383	+	0.120206i
$112$	−0.415415	−	0.909632i	−0.0392530	−	0.0859521i
$113$	−0.0925688	+	0.643830i	−0.00870814	+	0.0605664i	−0.993712	−	0.111965i	$-0.964286\pi$
$113$	−0.0925688	+	0.643830i	−0.00870814	+	0.0605664i	0.985004	+	0.172531i	$0.0551946\pi$
$114$	−7.47317			−0.699926
$115$	−7.35098	+	9.51602i	−0.685482	+	0.887373i
$116$	−5.14464			−0.477668
$117$	−0.0507209	+	0.352772i	−0.00468915	+	0.0326138i
$118$	−2.19847	−	4.81398i	−0.202386	−	0.443163i
$119$	5.90931	+	1.73513i	0.541705	+	0.159059i
$120$	1.64194	+	1.89490i	0.149888	+	0.172980i
$121$	−0.386416	+	0.113462i	−0.0351288	+	0.0103147i
$122$	−10.5553	−	6.78351i	−0.955636	−	0.614150i
$123$	2.46615	−	5.40012i	0.222365	−	0.486912i
$124$	4.22632	−	4.87744i	0.379535	−	0.438007i
$125$	7.83263	−	5.03373i	0.700572	−	0.450230i
$126$	−0.142315	−	0.989821i	−0.0126784	−	0.0881803i
$127$	1.00505	+	6.99025i	0.0891835	+	0.620285i	0.984570	+	0.174994i	$0.0559906\pi$
$127$	1.00505	+	6.99025i	0.0891835	+	0.620285i	−0.895386	+	0.445291i	$0.853100\pi$
$128$	−0.841254	+	0.540641i	−0.0743570	+	0.0477863i
$129$	0.218723	−	0.252420i	0.0192575	−	0.0222243i
$130$	0.371216	−	0.812850i	0.0325578	−	0.0712916i
$131$	5.43322	+	3.49172i	0.474702	+	0.305073i	0.756028	−	0.654540i	$-0.227138\pi$
$131$	5.43322	+	3.49172i	0.474702	+	0.305073i	−0.281325	+	0.959612i	$0.590774\pi$
$132$	−3.24001	+	0.951352i	−0.282007	+	0.0828046i
$133$	−4.89388	−	5.64784i	−0.424353	−	0.489730i
$134$	−3.91776	−	1.15036i	−0.338443	−	0.0993758i
$135$	1.04157	+	2.28073i	0.0896443	+	0.196294i
$136$	0.876486	−	6.09609i	0.0751580	−	0.522736i
$137$	4.02245			0.343661			0.171831	−	0.985127i	$-0.445032\pi$
$137$	4.02245			0.343661			0.171831	+	0.985127i	$0.445032\pi$
$138$	−2.23442	−	4.24351i	−0.190206	−	0.361232i
$139$	−15.9677			−1.35437			−0.677183	−	0.735814i	$-0.736800\pi$
$139$	−15.9677			−1.35437			−0.677183	+	0.735814i	$0.736800\pi$
$140$	−0.356827	+	2.48179i	−0.0301574	+	0.209749i
$141$	−1.89937	−	4.15904i	−0.159956	−	0.350255i
$142$	11.5974	+	3.40530i	0.973232	+	0.285767i
$143$	0.788116	+	0.909535i	0.0659056	+	0.0760591i
$144$	−0.959493	+	0.281733i	−0.0799577	+	0.0234777i
$145$	10.8515	+	6.97383i	0.901167	+	0.579145i
$146$	1.19529	−	2.61732i	0.0989228	−	0.216611i
$147$	0.654861	−	0.755750i	0.0540120	−	0.0623332i
$148$	3.78161	−	2.43029i	0.310846	−	0.199769i
$149$	0.0402058	+	0.279638i	0.00329379	+	0.0229088i	0.991402	−	0.130851i	$-0.0417709\pi$
$149$	0.0402058	+	0.279638i	0.00329379	+	0.0229088i	−0.988108	+	0.153760i	$0.950862\pi$
$150$	−0.183100	−	1.27349i	−0.0149501	−	0.103980i
$151$	−1.76603	+	1.13496i	−0.143717	+	0.0923615i	−0.610524	−	0.791998i	$-0.709041\pi$
$151$	−1.76603	+	1.13496i	−0.143717	+	0.0923615i	0.466806	+	0.884360i	$0.345405\pi$
$152$	−4.89388	+	5.64784i	−0.396946	+	0.458100i
$153$	2.55845	−	5.60222i	0.206838	−	0.452913i
$154$	−2.84074	−	1.82563i	−0.228913	−	0.147114i
$155$	−15.5261	+	4.55888i	−1.24709	+	0.366178i
$156$	0.233392	+	0.269349i	0.0186863	+	0.0215652i
$157$	−16.7358	−	4.91408i	−1.33566	−	0.392186i	−0.465543	−	0.885025i	$-0.654141\pi$
$157$	−16.7358	−	4.91408i	−1.33566	−	0.392186i	−0.870121	+	0.492839i	$0.835959\pi$
$158$	0.345042	+	0.755537i	0.0274501	+	0.0601073i
$159$	−0.147002	+	1.02242i	−0.0116580	+	0.0810831i
$160$	2.50731			0.198220
$161$	1.74380	−	4.46757i	0.137431	−	0.352094i
$162$	−1.00000			−0.0785674
$163$	−1.85564	+	12.9063i	−0.145345	+	1.01090i	0.778367	+	0.627809i	$0.216048\pi$
$163$	−1.85564	+	12.9063i	−0.145345	+	1.01090i	−0.923712	+	0.383087i	$0.874861\pi$
$164$	−2.46615	−	5.40012i	−0.192574	−	0.421678i
$165$	8.12370	+	2.38533i	0.632429	+	0.185698i
$166$	5.84621	+	6.74689i	0.453754	+	0.523660i
$167$	−10.9160	+	3.20523i	−0.844706	+	0.248028i	−0.675323	−	0.737522i	$-0.735996\pi$
$167$	−10.9160	+	3.20523i	−0.844706	+	0.248028i	−0.169383	+	0.985550i	$0.554178\pi$
$168$	−0.841254	−	0.540641i	−0.0649041	−	0.0417113i
$169$	−5.34763	+	11.7097i	−0.411356	+	0.900744i
$170$	−10.1123	+	11.6702i	−0.775580	+	0.895067i
$171$	−6.28683	+	4.04030i	−0.480766	+	0.308969i
$172$	−0.0475331	−	0.330600i	−0.00362436	−	0.0252080i
$173$	3.48466	+	24.2364i	0.264934	+	1.84266i	0.494270	+	0.869309i	$0.335436\pi$
$173$	3.48466	+	24.2364i	0.264934	+	1.84266i	−0.229336	+	0.973347i	$0.573655\pi$
$174$	−4.32795	+	2.78140i	−0.328101	+	0.210858i
$175$	0.842534	−	0.972337i	0.0636896	−	0.0735017i
$176$	−1.40277	+	3.07164i	−0.105738	+	0.231533i
$177$	−4.45211	−	2.86120i	−0.334641	−	0.215061i
$178$	−4.64901	+	1.36507i	−0.348458	+	0.102317i
$179$	1.40325	+	1.61943i	0.104884	+	0.121042i	0.805764	−	0.592237i	$-0.201755\pi$
$179$	1.40325	+	1.61943i	0.104884	+	0.121042i	−0.700881	+	0.713279i	$0.747209\pi$
$180$	2.40574	+	0.706390i	0.179313	+	0.0526512i
$181$	−9.78312	−	21.4220i	−0.727174	−	1.59229i	−0.803570	−	0.595211i	$-0.797069\pi$
$181$	−9.78312	−	21.4220i	−0.727174	−	1.59229i	0.0763961	−	0.997078i	$-0.475659\pi$
$182$	−0.0507209	+	0.352772i	−0.00375969	+	0.0261492i
$183$	−12.5472			−0.927513
$184$	−4.67026	−	1.09025i	−0.344296	−	0.0803741i
$185$	−11.2709			−0.828650
$186$	0.918468	−	6.38809i	0.0673453	−	0.468397i
$187$	−8.63935	−	18.9175i	−0.631772	−	1.38339i
$188$	−4.38702	−	1.28814i	−0.319956	−	0.0939476i
$189$	−0.654861	−	0.755750i	−0.0476341	−	0.0549727i
$190$	17.9785	−	5.27897i	1.30430	−	0.382977i
$191$	11.9209	+	7.66111i	0.862568	+	0.554339i	0.895471	−	0.445120i	$-0.146839\pi$
$191$	11.9209	+	7.66111i	0.862568	+	0.554339i	−0.0329032	+	0.999459i	$0.510475\pi$
$192$	−0.415415	+	0.909632i	−0.0299800	+	0.0656470i
$193$	−16.8049	+	19.3939i	−1.20964	+	1.39600i	−0.315079	+	0.949065i	$0.602031\pi$
$193$	−16.8049	+	19.3939i	−1.20964	+	1.39600i	−0.894565	+	0.446938i	$0.852514\pi$
$194$	−11.4667	+	7.36920i	−0.823261	+	0.529078i
$195$	−0.127173	−	0.884507i	−0.00910704	−	0.0633409i
$196$	−0.142315	−	0.989821i	−0.0101653	−	0.0707015i
$197$	1.32056	−	0.848669i	0.0940857	−	0.0604652i	−0.492752	−	0.870170i	$-0.664009\pi$
$197$	1.32056	−	0.848669i	0.0940857	−	0.0604652i	0.586838	+	0.809705i	$0.300373\pi$
$198$	−2.21133	+	2.55201i	−0.157152	+	0.181363i
$199$	−1.94636	+	4.26194i	−0.137974	+	0.302121i	−0.965988	−	0.258586i	$-0.916743\pi$
$199$	−1.94636	+	4.26194i	−0.137974	+	0.302121i	0.828014	+	0.560707i	$0.189471\pi$
$200$	−1.08234	−	0.695581i	−0.0765333	−	0.0491850i
$201$	−3.91776	+	1.15036i	−0.276338	+	0.0811400i
$202$	−7.72387	−	8.91382i	−0.543449	−	0.627174i
$203$	−4.93625	−	1.44941i	−0.346457	−	0.101729i
$204$	−2.55845	−	5.60222i	−0.179127	−	0.392234i
$205$	−2.11834	+	14.7334i	−0.147951	+	1.02902i
$206$	−5.30522			−0.369632
$207$	−4.17393	−	2.36185i	−0.290108	−	0.164160i
$208$	0.356399			0.0247119
$209$	−3.59136	+	24.9785i	−0.248420	+	1.72780i
$210$	1.04157	+	2.28073i	0.0718753	+	0.157385i
$211$	19.3088	+	5.66957i	1.32927	+	0.390309i	0.867830	−	0.496862i	$-0.165514\pi$
$211$	19.3088	+	5.66957i	1.32927	+	0.390309i	0.461441	+	0.887171i	$0.347333\pi$
$212$	0.676427	+	0.780639i	0.0464572	+	0.0536145i
$213$	11.5974	−	3.40530i	0.794641	−	0.233328i
$214$	2.94400	+	1.89199i	0.201247	+	0.129334i
$215$	−0.347885	+	0.761762i	−0.0237256	+	0.0519517i
$216$	−0.654861	+	0.755750i	−0.0445576	+	0.0514222i
$217$	5.42926	−	3.48917i	0.368562	−	0.236861i
$218$	−0.548484	−	3.81479i	−0.0371481	−	0.258370i
$219$	−0.409488	−	2.84805i	−0.0276706	−	0.192453i
$220$	7.12260	−	4.57742i	0.480206	−	0.308610i
$221$	−1.43741	+	1.65886i	−0.0966906	+	0.111587i
$222$	1.86738	−	4.08898i	0.125330	−	0.274435i
$223$	−14.5592	−	9.35664i	−0.974957	−	0.626567i	−0.0468585	−	0.998902i	$-0.514921\pi$
$223$	−14.5592	−	9.35664i	−0.974957	−	0.626567i	−0.928099	+	0.372335i	$0.878557\pi$
$224$	−0.959493	+	0.281733i	−0.0641088	+	0.0188240i
$225$	−0.842534	−	0.972337i	−0.0561690	−	0.0648224i
$226$	0.624103	+	0.183253i	0.0415147	+	0.0121898i
$227$	−2.73344	−	5.98540i	−0.181425	−	0.397265i	0.796968	−	0.604022i	$-0.206436\pi$
$227$	−2.73344	−	5.98540i	−0.181425	−	0.397265i	−0.978392	+	0.206758i	$0.933709\pi$
$228$	−1.06354	+	7.39710i	−0.0704348	+	0.489885i
$229$	−6.80242			−0.449516			−0.224758	−	0.974415i	$-0.572159\pi$
$229$	−6.80242			−0.449516			−0.224758	+	0.974415i	$0.572159\pi$
$230$	8.37301	+	8.63042i	0.552100	+	0.569073i
$231$	−3.37679			−0.222177
$232$	−0.732159	+	5.09228i	−0.0480686	+	0.334324i
$233$	2.18692	+	4.78869i	0.143270	+	0.313717i	0.967640	−	0.252333i	$-0.0811980\pi$
$233$	2.18692	+	4.78869i	0.143270	+	0.313717i	−0.824371	+	0.566051i	$0.808471\pi$
$234$	0.341963	+	0.100409i	0.0223548	+	0.00656396i
$235$	7.50730	+	8.66389i	0.489723	+	0.565170i
$236$	−5.07786	+	1.49099i	−0.330541	+	0.0970555i
$237$	0.698742	+	0.449054i	0.0453881	+	0.0291692i
$238$	2.55845	−	5.60222i	0.165840	−	0.363138i
$239$	5.67176	−	6.54556i	0.366876	−	0.423397i	−0.542056	−	0.840342i	$-0.682354\pi$
$239$	5.67176	−	6.54556i	0.366876	−	0.423397i	0.908932	+	0.416945i	$0.136899\pi$
$240$	2.10928	−	1.35555i	0.136153	−	0.0875005i
$241$	−2.94703	−	20.4971i	−0.189835	−	1.32033i	−0.832432	−	0.554127i	$-0.813052\pi$
$241$	−2.94703	−	20.4971i	−0.189835	−	1.32033i	0.642597	−	0.766204i	$-0.277857\pi$
$242$	0.0573144	+	0.398631i	0.00368431	+	0.0256249i
$243$	−0.841254	+	0.540641i	−0.0539664	+	0.0346821i
$244$	−8.21665	+	9.48252i	−0.526017	+	0.607056i
$245$	−1.04157	+	2.28073i	−0.0665436	+	0.145710i
$246$	−4.99418	−	3.20957i	−0.318418	−	0.204635i
$247$	2.55554	−	0.750375i	0.162605	−	0.0477452i
$248$	−4.22632	−	4.87744i	−0.268372	−	0.309718i
$249$	8.56579	+	2.51514i	0.542835	+	0.159391i
$250$	−3.86779	−	8.46928i	−0.244621	−	0.535644i
$251$	3.38396	−	23.5360i	0.213594	−	1.48558i	−0.547429	−	0.836852i	$-0.684393\pi$
$251$	3.38396	−	23.5360i	0.213594	−	1.48558i	0.761023	−	0.648725i	$-0.224698\pi$
$252$	−1.00000			−0.0629941
$253$	−15.2574	+	5.42907i	−0.959224	+	0.341323i
$254$	7.06214			0.443118
$255$	−2.19762	+	15.2848i	−0.137620	+	0.957169i
$256$	0.415415	+	0.909632i	0.0259634	+	0.0568520i
$257$	10.2070	+	2.99706i	0.636698	+	0.186951i	0.584122	−	0.811666i	$-0.301439\pi$
$257$	10.2070	+	2.99706i	0.636698	+	0.186951i	0.0525754	+	0.998617i	$0.483257\pi$
$258$	−0.218723	−	0.252420i	−0.0136171	−	0.0157150i
$259$	4.31312	−	1.26645i	0.268004	−	0.0786931i
$260$	−0.751746	−	0.483118i	−0.0466213	−	0.0299617i
$261$	−2.13716	+	4.67973i	−0.132287	+	0.289668i
$262$	4.22940	−	4.88099i	0.261293	−	0.301549i
$263$	23.0622	−	14.8212i	1.42207	−	0.913912i	0.422102	−	0.906549i	$-0.361293\pi$
$263$	23.0622	−	14.8212i	1.42207	−	0.913912i	0.999973	−	0.00736327i	$-0.00234382\pi$
$264$	0.480568	+	3.34242i	0.0295769	+	0.205712i
$265$	−0.368578	−	2.56352i	−0.0226416	−	0.157476i
$266$	−6.28683	+	4.04030i	−0.385470	+	0.247727i
$267$	−3.17298	+	3.66182i	−0.194183	+	0.224100i
$268$	−1.69620	+	3.71417i	−0.103612	+	0.226879i
$269$	16.9537	+	10.8955i	1.03369	+	0.664311i	0.943418	−	0.331607i	$-0.107591\pi$
$269$	16.9537	+	10.8955i	1.03369	+	0.664311i	0.0902699	+	0.995917i	$0.471227\pi$
$270$	2.40574	−	0.706390i	0.146409	−	0.0429895i
$271$	−3.46009	−	3.99315i	−0.210185	−	0.242567i	0.640862	−	0.767656i	$-0.278577\pi$
$271$	−3.46009	−	3.99315i	−0.210185	−	0.242567i	−0.851047	+	0.525090i	$0.824032\pi$
$272$	−5.90931	−	1.73513i	−0.358304	−	0.105208i
$273$	0.148054	+	0.324192i	0.00896062	+	0.0196210i
$274$	0.572454	−	3.98151i	0.0345832	−	0.240532i
$275$	−4.34453			−0.261985
$276$	−4.51831	+	1.60776i	−0.271970	+	0.0967758i
$277$	−1.79303			−0.107732			−0.0538662	−	0.998548i	$-0.517154\pi$
$277$	−1.79303			−0.107732			−0.0538662	+	0.998548i	$0.517154\pi$
$278$	−2.27245	+	15.8052i	−0.136292	+	0.947934i
$279$	−2.68100	−	5.87056i	−0.160507	−	0.351461i
$280$	2.40574	+	0.706390i	0.143771	+	0.0422149i
$281$	−15.1556	−	17.4904i	−0.904104	−	1.04339i	−0.998853	−	0.0478908i	$-0.984750\pi$
$281$	−15.1556	−	17.4904i	−0.904104	−	1.04339i	0.0947482	−	0.995501i	$-0.469795\pi$
$282$	−4.38702	+	1.28814i	−0.261243	+	0.0767079i
$283$	20.9127	+	13.4398i	1.24313	+	0.798911i	0.985883	−	0.167435i	$-0.0535484\pi$
$283$	20.9127	+	13.4398i	1.24313	+	0.798911i	0.257246	+	0.966346i	$0.417185\pi$
$284$	5.02113	−	10.9947i	0.297949	−	0.652417i
$285$	12.2705	−	14.1609i	0.726840	−	0.838818i
$286$	1.01244	−	0.650654i	0.0598667	−	0.0384740i
$287$	−0.844866	−	5.87617i	−0.0498709	−	0.346859i
$288$	0.142315	+	0.989821i	0.00838598	+	0.0583258i
$289$	17.6079	−	11.3159i	1.03576	−	0.665642i
$290$	8.44717	−	9.74856i	0.496035	−	0.572455i
$291$	−5.66231	+	12.3987i	−0.331931	+	0.726827i
$292$	−2.42057	−	1.55560i	−0.141653	−	0.0910349i
$293$	−30.3826	+	8.92112i	−1.77497	+	0.521178i	−0.994567	−	0.104102i	$-0.966803\pi$
$293$	−30.3826	+	8.92112i	−1.77497	+	0.521178i	−0.780401	+	0.625279i	$0.784985\pi$
$294$	−0.654861	−	0.755750i	−0.0381923	−	0.0440762i
$295$	12.7318	+	3.73838i	0.741271	+	0.217657i
$296$	−1.86738	−	4.08898i	−0.108539	−	0.237667i
$297$	−0.480568	+	3.34242i	−0.0278854	+	0.193947i
$298$	0.282513			0.0163656
$299$	1.19018	+	1.22677i	0.0688296	+	0.0709457i
$300$	−1.28659			−0.0742811
$301$	0.0475331	−	0.330600i	0.00273976	−	0.0190555i
$302$	0.872073	+	1.90957i	0.0501822	+	0.109884i
$303$	−11.3169	−	3.32294i	−0.650139	−	0.190898i
$304$	4.89388	+	5.64784i	0.280683	+	0.323926i
$305$	30.1853	−	8.86319i	1.72840	−	0.507505i
$306$	−5.18109	−	3.32969i	−0.296183	−	0.190346i
$307$	5.85076	−	12.8114i	0.333921	−	0.731184i	−0.665970	−	0.745979i	$-0.731982\pi$
$307$	5.85076	−	12.8114i	0.333921	−	0.731184i	0.999891	+	0.0147943i	$0.00470935\pi$
$308$	−2.21133	+	2.55201i	−0.126002	+	0.145414i
$309$	−4.46304	+	2.86822i	−0.253893	+	0.163167i
$310$	2.30288	+	16.0169i	0.130795	+	0.909698i
$311$	−1.95508	−	13.5979i	−0.110862	−	0.771064i	−0.967084	−	0.254456i	$-0.918104\pi$
$311$	−1.95508	−	13.5979i	−0.110862	−	0.771064i	0.856222	−	0.516608i	$-0.172805\pi$
$312$	0.299822	−	0.192684i	0.0169741	−	0.0109086i
$313$	−4.63273	+	5.34645i	−0.261857	+	0.302199i	−0.871419	−	0.490539i	$-0.836800\pi$
$313$	−4.63273	+	5.34645i	−0.261857	+	0.302199i	0.609562	+	0.792738i	$0.291345\pi$
$314$	−7.24582	+	15.8661i	−0.408905	+	0.895377i
$315$	2.10928	+	1.35555i	0.118844	+	0.0763767i
$316$	0.796951	−	0.234006i	0.0448320	−	0.0131639i
$317$	−17.6170	−	20.3310i	−0.989467	−	1.14191i	−0.989880	−	0.141905i	$-0.954677\pi$
$317$	−17.6170	−	20.3310i	−0.989467	−	1.14191i	0.000413618	−	1.00000i	$-0.499868\pi$
$318$	0.991092	+	0.291011i	0.0555777	+	0.0163191i
$319$	7.21675	+	15.8025i	0.404060	+	0.884769i
$320$	0.356827	−	2.48179i	0.0199472	−	0.138736i
$321$	3.49954			0.195325
$322$	−4.17393	−	2.36185i	−0.232604	−	0.131621i
$323$	−46.0256			−2.56093
$324$	−0.142315	+	0.989821i	−0.00790638	+	0.0549901i
$325$	0.190484	+	0.417101i	0.0105661	+	0.0231366i
$326$	12.5108	+	3.67351i	0.692910	+	0.203457i
$327$	−2.52385	−	2.91268i	−0.139569	−	0.161071i
$328$	−5.69612	+	1.67253i	−0.314516	+	0.0923502i
$329$	−3.84640	−	2.47193i	−0.212059	−	0.136282i
$330$	3.51718	−	7.70154i	0.193614	−	0.423956i
$331$	12.0896	−	13.9521i	0.664503	−	0.766878i	−0.319003	−	0.947754i	$-0.603348\pi$
$331$	12.0896	−	13.9521i	0.664503	−	0.766878i	0.983506	+	0.180876i	$0.0578933\pi$
$332$	7.51022	−	4.82652i	0.412177	−	0.264890i
$333$	−0.639735	−	4.44945i	−0.0350572	−	0.243828i
$334$	1.61909	+	11.2611i	0.0885929	+	0.616177i
$335$	8.61252	−	5.53493i	0.470552	−	0.302406i
$336$	−0.654861	+	0.755750i	−0.0357256	+	0.0412295i
$337$	12.6678	−	27.7385i	0.690057	−	1.51101i	−0.161567	−	0.986862i	$-0.551655\pi$
$337$	12.6678	−	27.7385i	0.690057	−	1.51101i	0.851624	−	0.524153i	$-0.175618\pi$
$338$	10.8294	+	6.95966i	0.589044	+	0.378555i
$339$	0.624103	−	0.183253i	0.0338966	−	0.00995294i
$340$	10.1123	+	11.6702i	0.548418	+	0.632908i
$341$	−20.9103	−	6.13982i	−1.13236	−	0.332490i
$342$	3.10447	+	6.79783i	0.167870	+	0.367585i
$343$	0.142315	−	0.989821i	0.00768428	−	0.0534453i
$344$	−0.334000			−0.0180081
$345$	11.7098	+	2.73359i	0.630433	+	0.147171i
$346$	24.4856			1.31635
$347$	−2.55870	+	17.7962i	−0.137358	+	0.955348i	0.798254	+	0.602320i	$0.205757\pi$
$347$	−2.55870	+	17.7962i	−0.137358	+	0.955348i	−0.935613	+	0.353028i	$0.885152\pi$
$348$	2.13716	+	4.67973i	0.114564	+	0.250860i
$349$	25.1658	+	7.38935i	1.34710	+	0.395543i	0.874196	−	0.485574i	$-0.161389\pi$
$349$	25.1658	+	7.38935i	1.34710	+	0.395543i	0.472899	+	0.881116i	$0.343207\pi$
$350$	−0.842534	−	0.972337i	−0.0450354	−	0.0519736i
$351$	0.341963	−	0.100409i	0.0182526	−	0.00535945i
$352$	2.84074	+	1.82563i	0.151412	+	0.0973065i
$353$	11.9002	−	26.0579i	0.633385	−	1.38692i	−0.271987	−	0.962301i	$-0.587681\pi$
$353$	11.9002	−	26.0579i	0.633385	−	1.38692i	0.905372	−	0.424619i	$-0.139592\pi$
$354$	−3.46568	+	3.99960i	−0.184199	+	0.212577i
$355$	−25.4949	+	16.3846i	−1.35313	+	0.869603i
$356$	0.689555	+	4.79596i	0.0365464	+	0.254186i
$357$	−0.876486	−	6.09609i	−0.0463885	−	0.322639i
$358$	1.80265	−	1.15849i	0.0952732	−	0.0612283i
$359$	−12.1907	+	14.0689i	−0.643403	+	0.742526i	−0.979973	−	0.199132i	$-0.936188\pi$
$359$	−12.1907	+	14.0689i	−0.643403	+	0.742526i	0.336570	+	0.941658i	$0.390733\pi$
$360$	1.04157	−	2.28073i	0.0548957	−	0.120205i
$361$	30.9987	+	19.9216i	1.63151	+	1.04851i
$362$	−22.5963	+	6.63487i	−1.18763	+	0.348721i
$363$	0.263732	+	0.304363i	0.0138423	+	0.0159749i
$364$	0.341963	+	0.100409i	0.0179237	+	0.00526288i
$365$	2.99695	+	6.56241i	0.156868	+	0.343492i
$366$	−1.78565	+	12.4195i	−0.0933373	+	0.649175i
$367$	−26.4556			−1.38097			−0.690485	−	0.723346i	$-0.742603\pi$
$367$	−26.4556			−1.38097			−0.690485	+	0.723346i	$0.742603\pi$
$368$	−1.74380	+	4.46757i	−0.0909018	+	0.232888i
$369$	−5.93660			−0.309047
$370$	−1.60401	+	11.1561i	−0.0833885	+	0.579980i
$371$	0.429096	+	0.939589i	0.0222776	+	0.0487810i
$372$	−6.19235	−	1.81824i	−0.321059	−	0.0942713i
$373$	−2.29938	−	2.65362i	−0.119057	−	0.137399i	0.693092	−	0.720849i	$-0.256248\pi$
$373$	−2.29938	−	2.65362i	−0.119057	−	0.137399i	−0.812149	+	0.583450i	$0.801702\pi$
$374$	−19.9545	+	5.85917i	−1.03182	+	0.302970i
$375$	−7.83263	−	5.03373i	−0.404475	−	0.259941i
$376$	−1.89937	+	4.15904i	−0.0979526	+	0.214486i
$377$	1.20072	−	1.38570i	0.0618401	−	0.0713673i
$378$	−0.841254	+	0.540641i	−0.0432694	+	0.0278076i
$379$	−0.577047	−	4.01345i	−0.0296409	−	0.206157i	0.969619	−	0.244620i	$-0.0786631\pi$
$379$	−0.577047	−	4.01345i	−0.0296409	−	0.206157i	−0.999260	+	0.0384624i	$0.987754\pi$
$380$	−2.66663	−	18.5468i	−0.136795	−	0.951431i
$381$	5.94105	−	3.81808i	0.304369	−	0.195606i
$382$	9.27966	−	10.7093i	0.474789	−	0.547935i
$383$	7.93451	−	17.3741i	0.405434	−	0.887778i	−0.591256	−	0.806484i	$-0.701368\pi$
$383$	7.93451	−	17.3741i	0.405434	−	0.887778i	0.996690	−	0.0812935i	$-0.0259051\pi$
$384$	0.841254	+	0.540641i	0.0429300	+	0.0275895i
$385$	8.12370	−	2.38533i	0.414022	−	0.121568i
$386$	16.8049	+	19.3939i	0.855348	+	0.987124i
$387$	−0.320470	−	0.0940986i	−0.0162904	−	0.00478330i
$388$	5.66231	+	12.3987i	0.287460	+	0.629450i
$389$	3.41819	−	23.7740i	0.173309	−	1.20539i	−0.698524	−	0.715587i	$-0.746159\pi$
$389$	3.41819	−	23.7740i	0.173309	−	1.20539i	0.871833	−	0.489804i	$-0.162932\pi$
$390$	−0.893603			−0.0452493
$391$	−13.7613	−	26.1348i	−0.695938	−	1.32170i
$392$	−1.00000			−0.0505076
$393$	0.919137	−	6.39274i	0.0463643	−	0.322471i
$394$	−0.652097	−	1.42789i	−0.0328521	−	0.0719362i
$395$	−1.99820	−	0.586724i	−0.100540	−	0.0295213i
$396$	2.21133	+	2.55201i	0.111123	+	0.128243i
$397$	6.77378	−	1.98896i	0.339966	−	0.0998231i	−0.107293	−	0.994227i	$-0.534218\pi$
$397$	6.77378	−	1.98896i	0.339966	−	0.0998231i	0.447259	+	0.894404i	$0.352400\pi$
$398$	3.94156	+	2.53309i	0.197573	+	0.126972i
$399$	−3.10447	+	6.79783i	−0.155418	+	0.340317i
$400$	−0.842534	+	0.972337i	−0.0421267	+	0.0486168i
$401$	14.8600	−	9.54997i	0.742075	−	0.476903i	−0.114177	−	0.993460i	$-0.536423\pi$
$401$	14.8600	−	9.54997i	0.742075	−	0.476903i	0.856252	+	0.516558i	$0.172787\pi$
$402$	0.581094	+	4.04160i	0.0289823	+	0.201576i
$403$	0.327342	+	2.27671i	0.0163060	+	0.113411i
$404$	−9.92231	+	6.37668i	−0.493653	+	0.317252i
$405$	1.64194	−	1.89490i	0.0815885	−	0.0941581i
$406$	−2.13716	+	4.67973i	−0.106066	+	0.232251i
$407$	−12.7697	−	8.20659i	−0.632971	−	0.406786i
$408$	−5.90931	+	1.73513i	−0.292554	+	0.0859017i
$409$	−19.8765	−	22.9388i	−0.982832	−	1.13425i	−0.990943	−	0.134282i	$-0.957127\pi$
$409$	−19.8765	−	22.9388i	−0.982832	−	1.13425i	0.00811107	−	0.999967i	$-0.497418\pi$
$410$	14.2819	+	4.19355i	0.705334	+	0.207105i
$411$	−1.67099	−	3.65895i	−0.0824237	−	0.180483i
$412$	−0.755012	+	5.25122i	−0.0371968	+	0.258709i
$413$	−5.29223			−0.260414
$414$	−2.93182	+	3.79532i	−0.144091	+	0.186530i
$415$	−22.3838			−1.09878
$416$	0.0507209	−	0.352772i	0.00248680	−	0.0172961i
$417$	6.63324	+	14.5248i	0.324831	+	0.711281i
$418$	24.2131	+	7.10961i	1.18430	+	0.347743i
$419$	−7.98083	−	9.21036i	−0.389889	−	0.449956i	0.526542	−	0.850149i	$-0.323488\pi$
$419$	−7.98083	−	9.21036i	−0.389889	−	0.449956i	−0.916431	+	0.400194i	$0.868943\pi$
$420$	2.40574	−	0.706390i	0.117388	−	0.0344683i
$421$	−7.94544	−	5.10622i	−0.387237	−	0.248862i	0.332508	−	0.943100i	$-0.392105\pi$
$421$	−7.94544	−	5.10622i	−0.387237	−	0.248862i	−0.719745	+	0.694238i	$0.755741\pi$
$422$	8.35979	−	18.3054i	0.406948	−	0.891092i
$423$	−2.99417	+	3.45546i	−0.145582	+	0.168010i
$424$	0.868959	−	0.558446i	0.0422004	−	0.0271205i
$425$	−1.12767	−	7.84314i	−0.0547002	−	0.380448i
$426$	−1.72016	−	11.9640i	−0.0833421	−	0.579657i
$427$	−10.5553	+	6.78351i	−0.510809	+	0.328277i
$428$	2.29171	−	2.64477i	0.110774	−	0.127840i
$429$	0.499947	−	1.09473i	0.0241376	−	0.0528541i
$430$	0.704499	+	0.452754i	0.0339739	+	0.0218337i
$431$	6.42769	−	1.88734i	0.309611	−	0.0909099i	−0.123236	−	0.992377i	$-0.539327\pi$
$431$	6.42769	−	1.88734i	0.309611	−	0.0909099i	0.432847	+	0.901467i	$0.357509\pi$
$432$	0.654861	+	0.755750i	0.0315070	+	0.0363610i
$433$	16.9557	+	4.97863i	0.814837	+	0.239258i	0.662491	−	0.749069i	$-0.269499\pi$
$433$	16.9557	+	4.97863i	0.814837	+	0.239258i	0.152346	+	0.988327i	$0.451317\pi$
$434$	−2.68100	−	5.87056i	−0.128692	−	0.281796i
$435$	1.83575	−	12.7679i	0.0880173	−	0.612174i
$436$	−3.85402			−0.184574
$437$	−3.09765	+	35.7059i	−0.148181	+	1.70805i
$438$	−2.87734			−0.137484
$439$	3.92420	−	27.2934i	0.187292	−	1.30264i	−0.651690	−	0.758485i	$-0.725940\pi$
$439$	3.92420	−	27.2934i	0.187292	−	1.30264i	0.838982	−	0.544159i	$-0.183151\pi$
$440$	−3.51718	−	7.70154i	−0.167675	−	0.367157i
$441$	−0.959493	−	0.281733i	−0.0456901	−	0.0134158i
$442$	1.43741	+	1.65886i	0.0683706	+	0.0789039i
$443$	6.32805	−	1.85808i	0.300655	−	0.0882802i	−0.127926	−	0.991784i	$-0.540832\pi$
$443$	6.32805	−	1.85808i	0.300655	−	0.0882802i	0.428581	+	0.903504i	$0.359014\pi$
$444$	−3.78161	−	2.43029i	−0.179467	−	0.115337i
$445$	5.04671	−	11.0508i	0.239237	−	0.523856i
$446$	−11.3334	+	13.0794i	−0.536652	+	0.619329i
$447$	0.237665	−	0.152738i	0.0112412	−	0.00722427i
$448$	0.142315	+	0.989821i	0.00672374	+	0.0467647i
$449$	3.68841	+	25.6534i	0.174067	+	1.21066i	0.870182	+	0.492730i	$0.164001\pi$
$449$	3.68841	+	25.6534i	0.174067	+	1.21066i	−0.696115	+	0.717930i	$0.745090\pi$
$450$	−1.08234	+	0.695581i	−0.0510222	+	0.0327900i
$451$	−13.1278	+	15.1503i	−0.618163	+	0.713398i
$452$	0.270207	−	0.591671i	0.0127095	−	0.0278299i
$453$	1.76603	+	1.13496i	0.0829753	+	0.0533250i
$454$	−6.31348	+	1.85381i	−0.296306	+	0.0870034i
$455$	−0.585185	−	0.675340i	−0.0274339	−	0.0316604i
$456$	7.17045	+	2.10543i	0.335787	+	0.0985960i
$457$	−0.168523	−	0.369015i	−0.00788320	−	0.0172618i	0.905649	−	0.424027i	$-0.139384\pi$
$457$	−0.168523	−	0.369015i	−0.00788320	−	0.0172618i	−0.913533	+	0.406765i	$0.866657\pi$
$458$	−0.968085	+	6.73318i	−0.0452356	+	0.314621i
$459$	−6.15878			−0.287467
$460$	9.73418	−	7.05954i	0.453859	−	0.329153i
$461$	32.7916			1.52726			0.763629	−	0.645655i	$-0.223416\pi$
$461$	32.7916			1.52726			0.763629	+	0.645655i	$0.223416\pi$
$462$	−0.480568	+	3.34242i	−0.0223580	+	0.155504i
$463$	−2.48689	−	5.44552i	−0.115575	−	0.253075i	0.843000	−	0.537913i	$-0.180787\pi$
$463$	−2.48689	−	5.44552i	−0.115575	−	0.253075i	−0.958576	+	0.284839i	$0.908060\pi$
$464$	4.93625	+	1.44941i	0.229159	+	0.0672873i
$465$	10.5967	+	12.2292i	0.491410	+	0.567117i
$466$	5.05117	−	1.48316i	0.233991	−	0.0687060i
$467$	28.9525	+	18.6066i	1.33976	+	0.861012i	0.996923	−	0.0783827i	$-0.0249756\pi$
$467$	28.9525	+	18.6066i	1.33976	+	0.861012i	0.342837	+	0.939395i	$0.388612\pi$
$468$	0.148054	−	0.324192i	0.00684378	−	0.0149858i
$469$	−2.67390	+	3.08584i	−0.123469	+	0.142491i
$470$	9.64411	−	6.19789i	0.444849	−	0.285887i
$471$	2.48231	+	17.2648i	0.114379	+	0.795521i
$472$	0.753163	+	5.23837i	0.0346672	+	0.241115i
$473$	−0.948806	+	0.609760i	−0.0436261	+	0.0280368i
$474$	0.543925	−	0.627722i	0.0249833	−	0.0288322i
$475$	−3.99416	+	8.74599i	−0.183265	+	0.401294i
$476$	−5.18109	−	3.32969i	−0.237475	−	0.152616i
$477$	0.991092	−	0.291011i	0.0453790	−	0.0133245i
$478$	−5.67176	−	6.54556i	−0.259420	−	0.299387i
$479$	−3.25409	−	0.955488i	−0.148683	−	0.0436574i	0.206544	−	0.978437i	$-0.433778\pi$
$479$	−3.25409	−	0.955488i	−0.148683	−	0.0436574i	−0.355227	+	0.934780i	$0.615597\pi$
$480$	−1.04157	−	2.28073i	−0.0475411	−	0.104100i
$481$	−0.228001	+	1.58578i	−0.0103960	+	0.0723054i
$482$	−20.7078			−0.943216
$483$	−4.78824	+	0.269680i	−0.217873	+	0.0122709i
$484$	0.402730			0.0183059
$485$	4.86373	−	33.8280i	0.220850	−	1.53605i
$486$	0.415415	+	0.909632i	0.0188436	+	0.0412617i
$487$	29.7646	+	8.73966i	1.34876	+	0.396032i	0.874787	−	0.484507i	$-0.161001\pi$
$487$	29.7646	+	8.73966i	1.34876	+	0.396032i	0.473974	+	0.880539i	$0.342819\pi$
$488$	8.21665	+	9.48252i	0.371950	+	0.429253i
$489$	12.5108	−	3.67351i	0.565759	−	0.166122i
$490$	2.10928	+	1.35555i	0.0952876	+	0.0612376i
$491$	−13.1947	+	28.8924i	−0.595470	+	1.30390i	0.336610	+	0.941644i	$0.390719\pi$
$491$	−13.1947	+	28.8924i	−0.595470	+	1.30390i	−0.932080	+	0.362253i	$0.882008\pi$
$492$	−3.88764	+	4.48658i	−0.175269	+	0.202271i
$493$	−26.6549	+	17.1300i	−1.20047	+	0.771498i
$494$	−0.379046	−	2.63632i	−0.0170541	−	0.118614i
$495$	−1.20493	−	8.38048i	−0.0541576	−	0.376674i
$496$	−5.42926	+	3.48917i	−0.243781	+	0.156669i
$497$	7.91531	−	9.13475i	0.355050	−	0.409750i
$498$	3.70858	−	8.12066i	0.166185	−	0.363895i
$499$	23.2849	+	14.9643i	1.04238	+	0.669895i	0.945574	−	0.325409i	$-0.105502\pi$
$499$	23.2849	+	14.9643i	1.04238	+	0.669895i	0.0968034	+	0.995304i	$0.469138\pi$
$500$	−8.93352	+	2.62312i	−0.399519	+	0.117309i
$501$	7.45025	+	8.59805i	0.332853	+	0.384133i
$502$	−22.8148	−	6.69904i	−1.01828	−	0.298993i
$503$	−0.459014	−	1.00510i	−0.0204664	−	0.0448153i	0.899123	−	0.437697i	$-0.144206\pi$
$503$	−0.459014	−	1.00510i	−0.0204664	−	0.0448153i	−0.919589	+	0.392881i	$0.871478\pi$
$504$	−0.142315	+	0.989821i	−0.00633921	+	0.0440902i
$505$	29.5729			1.31597
$506$	3.20246	+	15.8747i	0.142367	+	0.705718i
$507$	12.8730			0.571709
$508$	1.00505	−	6.99025i	0.0445917	−	0.310142i
$509$	8.13802	+	17.8198i	0.360711	+	0.789847i	0.999786	+	0.0207025i	$0.00659028\pi$
$509$	8.13802	+	17.8198i	0.360711	+	0.789847i	−0.639074	+	0.769145i	$0.720682\pi$
$510$	14.8164	+	4.35050i	0.656083	+	0.192643i
$511$	−1.88425	−	2.17454i	−0.0833545	−	0.0961962i
$512$	0.959493	−	0.281733i	0.0424040	−	0.0124509i
$513$	6.28683	+	4.04030i	0.277570	+	0.178384i
$514$	4.41916	−	9.67662i	0.194921	−	0.426817i
$515$	8.71084	−	10.0528i	0.383845	−	0.442981i
$516$	−0.280978	+	0.180574i	−0.0123694	+	0.00794932i
$517$	2.19726	+	15.2823i	0.0966356	+	0.672115i
$518$	−0.639735	−	4.44945i	−0.0281083	−	0.195498i
$519$	20.5986	−	13.2379i	0.904177	−	0.581080i
$520$	−0.585185	+	0.675340i	−0.0256621	+	0.0296156i
$521$	14.9455	−	32.7262i	0.654776	−	1.43376i	−0.232534	−	0.972588i	$-0.574702\pi$
$521$	14.9455	−	32.7262i	0.654776	−	1.43376i	0.887311	−	0.461172i	$-0.152571\pi$
$522$	4.32795	+	2.78140i	0.189429	+	0.121739i
$523$	30.5377	−	8.96668i	1.33532	−	0.392086i	0.465323	−	0.885141i	$-0.345938\pi$
$523$	30.5377	−	8.96668i	1.33532	−	0.392086i	0.869998	+	0.493055i	$0.164120\pi$
$524$	−4.22940	−	4.88099i	−0.184762	−	0.213227i
$525$	−1.23447	−	0.362473i	−0.0538767	−	0.0158196i
$526$	−11.3882	−	24.9367i	−0.496550	−	1.08729i
$527$	5.65664	−	39.3428i	0.246407	−	1.71380i
$528$	3.37679			0.146956
$529$	−21.2012	+	8.91685i	−0.921790	+	0.387689i
$530$	−2.58988			−0.112497
$531$	−0.753163	+	5.23837i	−0.0326845	+	0.227326i
$532$	3.10447	+	6.79783i	0.134596	+	0.294723i
$533$	2.03010	+	0.596090i	0.0879332	+	0.0258195i
$534$	3.17298	+	3.66182i	0.137308	+	0.158462i
$535$	−8.41898	+	2.47204i	−0.363984	+	0.106875i
$536$	3.43497	+	2.20752i	0.148368	+	0.0953504i
$537$	0.890158	−	1.94918i	0.0384132	−	0.0841131i
$538$	13.1974	−	15.2306i	0.568979	−	0.656637i
$539$	−2.84074	+	1.82563i	−0.122359	+	0.0786355i
$540$	−0.356827	−	2.48179i	−0.0153554	−	0.106799i
$541$	−5.43025	−	37.7682i	−0.233465	−	1.62378i	−0.682930	−	0.730484i	$-0.739295\pi$
$541$	−5.43025	−	37.7682i	−0.233465	−	1.62378i	0.449465	−	0.893298i	$-0.351614\pi$
$542$	−4.44493	+	2.85658i	−0.190926	+	0.122701i
$543$	−15.4221	+	17.7981i	−0.661827	+	0.763789i
$544$	−2.55845	+	5.60222i	−0.109693	+	0.240193i
$545$	8.12921	+	5.22433i	0.348217	+	0.223786i
$546$	0.341963	−	0.100409i	0.0146347	−	0.00429712i
$547$	27.7974	+	32.0799i	1.18853	+	1.37164i	0.911771	+	0.410700i	$0.134716\pi$
$547$	27.7974	+	32.0799i	1.18853	+	1.37164i	0.276761	+	0.960939i	$0.410739\pi$
$548$	−3.85951	−	1.13326i	−0.164870	−	0.0484103i
$549$	5.21228	+	11.4133i	0.222455	+	0.487108i
$550$	−0.618292	+	4.30031i	−0.0263640	+	0.183366i
$551$	38.4467			1.63789
$552$	0.948373	+	4.70113i	0.0403655	+	0.200093i
$553$	0.830596			0.0353205
$554$	−0.255174	+	1.77477i	−0.0108413	+	0.0754030i
$555$	4.68208	+	10.2523i	0.198743	+	0.435187i
$556$	15.3209	+	4.49863i	0.649753	+	0.190785i
$557$	−15.2217	−	17.5668i	−0.644965	−	0.744329i	0.335279	−	0.942119i	$-0.391169\pi$
$557$	−15.2217	−	17.5668i	−0.644965	−	0.744329i	−0.980245	+	0.197789i	$0.936624\pi$
$558$	−6.19235	+	1.81824i	−0.262143	+	0.0769722i
$559$	0.100141	+	0.0643564i	0.00423549	+	0.00272199i
$560$	1.04157	−	2.28073i	0.0440145	−	0.0963783i
$561$	−13.6191	+	15.7173i	−0.574998	+	0.663583i
$562$	−19.4693	+	12.5121i	−0.821262	+	0.527793i
$563$	−3.30761	−	23.0049i	−0.139399	−	0.969542i	−0.932685	−	0.360692i	$-0.882540\pi$
$563$	−3.30761	−	23.0049i	−0.139399	−	0.969542i	0.793286	−	0.608849i	$-0.208369\pi$
$564$	0.650696	+	4.52569i	0.0273992	+	0.190566i
$565$	−1.37198	+	0.881720i	−0.0577198	+	0.0370942i
$566$	16.2791	−	18.7871i	0.684264	−	0.789682i
$567$	−0.415415	+	0.909632i	−0.0174458	+	0.0382010i
$568$	−10.1682	−	6.53473i	−0.426650	−	0.274191i
$569$	6.42992	−	1.88799i	0.269556	−	0.0791488i	−0.144161	−	0.989554i	$-0.546048\pi$
$569$	6.42992	−	1.88799i	0.269556	−	0.0791488i	0.413717	+	0.910405i	$0.364230\pi$
$570$	−12.2705	−	14.1609i	−0.513953	−	0.593134i
$571$	−2.39205	−	0.702369i	−0.100104	−	0.0293932i	0.231297	−	0.972883i	$-0.425703\pi$
$571$	−2.39205	−	0.702369i	−0.100104	−	0.0293932i	−0.331401	+	0.943490i	$0.607521\pi$
$572$	−0.499947	−	1.09473i	−0.0209038	−	0.0457730i
$573$	2.01666	−	14.0262i	0.0842473	−	0.585953i
$574$	−5.93660			−0.247789
$575$	−6.16049	+	0.346967i	−0.256910	+	0.0144695i
$576$	1.00000			0.0416667
$577$	4.03545	−	28.0672i	0.167998	−	1.16845i	−0.715017	−	0.699107i	$-0.753581\pi$
$577$	4.03545	−	28.0672i	0.167998	−	1.16845i	0.883015	−	0.469345i	$-0.155510\pi$
$578$	−8.69487	−	19.0391i	−0.361659	−	0.791923i
$579$	24.6223	+	7.22977i	1.02327	+	0.300459i
$580$	−8.44717	−	9.74856i	−0.350750	−	0.404787i
$581$	8.56579	−	2.51514i	0.355369	−	0.104346i
$582$	11.4667	+	7.36920i	0.475310	+	0.305463i
$583$	1.44897	−	3.17280i	0.0600101	−	0.131404i
$584$	−1.88425	+	2.17454i	−0.0779710	+	0.0899833i
$585$	−0.751746	+	0.483118i	−0.0310809	+	0.0199745i
$586$	4.50643	+	31.3429i	0.186159	+	1.29476i
$587$	−5.14465	−	35.7818i	−0.212343	−	1.47687i	−0.765305	−	0.643668i	$-0.777412\pi$
$587$	−5.14465	−	35.7818i	−0.212343	−	1.47687i	0.552962	−	0.833206i	$-0.313497\pi$
$588$	−0.841254	+	0.540641i	−0.0346927	+	0.0222957i
$589$	−31.5840	+	36.4499i	−1.30140	+	1.50189i
$590$	5.51225	−	12.0701i	0.226936	−	0.496920i
$591$	−1.32056	−	0.848669i	−0.0543204	−	0.0349096i
$592$	−4.31312	+	1.26645i	−0.177268	+	0.0520506i
$593$	0.705105	+	0.813734i	0.0289552	+	0.0334161i	0.770042	−	0.637993i	$-0.220235\pi$
$593$	0.705105	+	0.813734i	0.0289552	+	0.0334161i	−0.741087	+	0.671409i	$0.765690\pi$
$594$	3.24001	+	0.951352i	0.132939	+	0.0390345i
$595$	6.41482	+	14.0465i	0.262982	+	0.575850i
$596$	0.0402058	−	0.279638i	0.00164690	−	0.0114544i
$597$	4.68534			0.191758
$598$	1.38366	−	1.00347i	0.0565820	−	0.0410351i
$599$	−36.3547			−1.48541			−0.742707	−	0.669616i	$-0.766459\pi$
$599$	−36.3547			−1.48541			−0.742707	+	0.669616i	$0.766459\pi$
$600$	−0.183100	+	1.27349i	−0.00747504	+	0.0519900i
$601$	−11.5235	−	25.2330i	−0.470054	−	1.02927i	−0.985080	−	0.172099i	$-0.944945\pi$
$601$	−11.5235	−	25.2330i	−0.470054	−	1.02927i	0.515026	−	0.857175i	$-0.327782\pi$
$602$	−0.320470	−	0.0940986i	−0.0130614	−	0.00383517i
$603$	2.67390	+	3.08584i	0.108890	+	0.125665i
$604$	2.01425	−	0.591436i	0.0819585	−	0.0240652i
$605$	−0.849470	−	0.545921i	−0.0345359	−	0.0221949i
$606$	−4.89968	+	10.7288i	−0.199036	+	0.435828i
$607$	18.6512	−	21.5247i	0.757030	−	0.873660i	−0.238199	−	0.971216i	$-0.576557\pi$
$607$	18.6512	−	21.5247i	0.757030	−	0.873660i	0.995230	+	0.0975565i	$0.0311027\pi$
$608$	6.28683	−	4.04030i	0.254964	−	0.163856i
$609$	0.732159	+	5.09228i	0.0296686	+	0.206349i
$610$	−4.47717	−	31.1394i	−0.181275	−	1.26080i
$611$	1.37086	−	0.880995i	0.0554589	−	0.0356412i
$612$	−4.03314	+	4.65449i	−0.163030	+	0.188147i
$613$	2.22034	−	4.86186i	0.0896785	−	0.196369i	−0.859478	−	0.511172i	$-0.829211\pi$
$613$	2.22034	−	4.86186i	0.0896785	−	0.196369i	0.949157	+	0.314804i	$0.101939\pi$
$614$	−11.8483	−	7.61446i	−0.478160	−	0.307295i
$615$	14.2819	−	4.19355i	0.575903	−	0.169100i
$616$	2.21133	+	2.55201i	0.0890970	+	0.102823i
$617$	36.0041	+	10.5717i	1.44947	+	0.425603i	0.909366	−	0.415996i	$-0.136567\pi$
$617$	36.0041	+	10.5717i	1.44947	+	0.425603i	0.540103	+	0.841599i	$0.318385\pi$
$618$	2.20387	+	4.82580i	0.0886526	+	0.194122i
$619$	3.47421	−	24.1637i	0.139640	−	0.971220i	−0.792693	−	0.609621i	$-0.791322\pi$
$619$	3.47421	−	24.1637i	0.139640	−	0.971220i	0.932334	−	0.361599i	$-0.117769\pi$
$620$	16.1816			0.649868
$621$	−0.414503	+	4.77789i	−0.0166334	+	0.191730i
$622$	−13.7377			−0.550831
$623$	−0.689555	+	4.79596i	−0.0276265	+	0.192146i
$624$	−0.148054	−	0.324192i	−0.00592689	−	0.0129781i
$625$	28.5714	+	8.38933i	1.14286	+	0.335573i
$626$	4.63273	+	5.34645i	0.185161	+	0.213687i
$627$	24.2131	−	7.10961i	0.966979	−	0.283931i
$628$	14.6734	+	9.43005i	0.585534	+	0.376300i
$629$	11.5008	−	25.1831i	0.458565	−	1.00412i
$630$	1.64194	−	1.89490i	0.0654163	−	0.0754945i
$631$	−13.4144	+	8.62089i	−0.534017	+	0.343192i	−0.779695	−	0.626159i	$-0.784626\pi$
$631$	−13.4144	+	8.62089i	−0.534017	+	0.343192i	0.245678	+	0.969352i	$0.420990\pi$
$632$	−0.118206	−	0.822142i	−0.00470199	−	0.0327030i
$633$	−2.86393	−	19.9191i	−0.113831	−	0.791713i
$634$	−22.6313	+	14.5442i	−0.898802	+	0.577625i
$635$	−11.5956	+	13.3820i	−0.460156	+	0.531049i
$636$	0.429096	−	0.939589i	0.0170148	−	0.0372571i
$637$	0.299822	+	0.192684i	0.0118794	+	0.00763442i
$638$	16.6687	−	4.89437i	0.659919	−	0.193770i
$639$	−7.91531	−	9.13475i	−0.313125	−	0.361365i
$640$	−2.40574	−	0.706390i	−0.0950953	−	0.0279225i
$641$	2.15538	+	4.71963i	0.0851325	+	0.186414i	0.947410	−	0.320021i	$-0.103690\pi$
$641$	2.15538	+	4.71963i	0.0851325	+	0.186414i	−0.862278	+	0.506436i	$0.830963\pi$
$642$	0.498036	−	3.46391i	0.0196559	−	0.136710i
$643$	26.6344			1.05036			0.525179	−	0.850992i	$-0.323998\pi$
$643$	26.6344			1.05036			0.525179	+	0.850992i	$0.323998\pi$
$644$	−2.93182	+	3.79532i	−0.115530	+	0.149556i
$645$	0.837439			0.0329741
$646$	−6.55012	+	45.5571i	−0.257711	+	1.79242i
$647$	−8.24738	−	18.0593i	−0.324238	−	0.709982i	0.675384	−	0.737466i	$-0.263978\pi$
$647$	−8.24738	−	18.0593i	−0.324238	−	0.709982i	−0.999622	+	0.0274837i	$0.991251\pi$
$648$	0.959493	+	0.281733i	0.0376924	+	0.0110675i
$649$	11.7029	+	13.5058i	0.459378	+	0.530150i
$650$	0.439964	−	0.129185i	0.0172568	−	0.00506706i
$651$	−5.42926	−	3.48917i	−0.212790	−	0.136752i
$652$	5.41659	−	11.8607i	0.212130	−	0.464500i
$653$	−23.6037	+	27.2402i	−0.923686	+	1.06599i	0.0739498	+	0.997262i	$0.476440\pi$
$653$	−23.6037	+	27.2402i	−0.923686	+	1.06599i	−0.997635	+	0.0687280i	$0.978106\pi$
$654$	−3.24221	+	2.08364i	−0.126780	+	0.0814768i
$655$	2.30456	+	16.0286i	0.0900465	+	0.626287i
$656$	0.844866	+	5.87617i	0.0329865	+	0.229426i
$657$	−2.42057	+	1.55560i	−0.0944354	+	0.0606899i
$658$	−2.99417	+	3.45546i	−0.116725	+	0.134708i
$659$	−20.6551	+	45.2284i	−0.804610	+	1.76185i	−0.175586	+	0.984464i	$0.556182\pi$
$659$	−20.6551	+	45.2284i	−0.804610	+	1.76185i	−0.629024	+	0.777386i	$0.716545\pi$
$660$	−7.12260	−	4.57742i	−0.277247	−	0.178176i
$661$	−38.1665	+	11.2067i	−1.48450	+	0.435890i	−0.920783	−	0.390076i	$-0.872449\pi$
$661$	−38.1665	+	11.2067i	−1.48450	+	0.435890i	−0.563721	+	0.825965i	$0.690631\pi$
$662$	−12.0896	−	13.9521i	−0.469875	−	0.542264i
$663$	2.10607	+	0.618399i	0.0817931	+	0.0240166i
$664$	−3.70858	−	8.12066i	−0.143921	−	0.315143i
$665$	2.66663	−	18.5468i	0.103407	−	0.719214i
$666$	−4.49521			−0.174186
$667$	11.4953	+	21.8313i	0.445099	+	0.845313i
$668$	11.3769			0.440184
$669$	−2.46298	+	17.1304i	−0.0952244	+	0.662300i
$670$	−4.25290	−	9.31256i	−0.164304	−	0.359776i
$671$	40.6529	+	11.9368i	1.56939	+	0.460814i
$672$	0.654861	+	0.755750i	0.0252618	+	0.0291537i
$673$	−14.8360	+	4.35624i	−0.571885	+	0.167921i	−0.554874	−	0.831935i	$-0.687233\pi$
$673$	−14.8360	+	4.35624i	−0.571885	+	0.167921i	−0.0170116	+	0.999855i	$0.505415\pi$
$674$	−25.6534	−	16.4864i	−0.988132	−	0.635034i
$675$	−0.534467	+	1.17032i	−0.0205716	+	0.0450456i
$676$	8.43001	−	9.72875i	0.324231	−	0.374183i
$677$	−8.50058	+	5.46299i	−0.326704	+	0.209960i	−0.693702	−	0.720262i	$-0.744022\pi$
$677$	−8.50058	+	5.46299i	−0.326704	+	0.209960i	0.366999	+	0.930221i	$0.380385\pi$
$678$	−0.0925688	−	0.643830i	−0.00355508	−	0.0247261i
$679$	1.93982	+	13.4918i	0.0744435	+	0.517766i
$680$	12.9906	−	8.34855i	0.498166	−	0.320152i
$681$	−4.30900	+	4.97285i	−0.165121	+	0.190560i
$682$	−9.05317	+	19.8237i	−0.346664	+	0.759087i
$683$	29.8569	+	19.1879i	1.14244	+	0.734203i	0.968120	−	0.250485i	$-0.0805902\pi$
$683$	29.8569	+	19.1879i	1.14244	+	0.734203i	0.174322	+	0.984689i	$0.444227\pi$
$684$	7.17045	−	2.10543i	0.274169	−	0.0805033i
$685$	6.60461	+	7.62212i	0.252349	+	0.291226i
$686$	−0.959493	−	0.281733i	−0.0366336	−	0.0107566i
$687$	2.82583	+	6.18770i	0.107812	+	0.236075i
$688$	−0.0475331	+	0.330600i	−0.00181218	+	0.0126040i
$689$	−0.368137			−0.0140249
$690$	4.37224	−	11.2016i	0.166448	−	0.426436i
$691$	10.6991			0.407012			0.203506	−	0.979074i	$-0.434766\pi$
$691$	10.6991			0.407012			0.203506	+	0.979074i	$0.434766\pi$
$692$	3.48466	−	24.2364i	0.132467	−	0.921328i
$693$	1.40277	+	3.07164i	0.0532868	+	0.116682i
$694$	17.2509	+	5.06532i	0.654835	+	0.192277i
$695$	−26.2180	−	30.2572i	−0.994507	−	1.14772i
$696$	4.93625	−	1.44941i	0.187108	−	0.0549398i
$697$	−30.7581	−	19.7670i	−1.16505	−	0.748729i
$698$	10.8956	−	23.8580i	0.412405	−	0.903040i
$699$	3.44746	−	3.97858i	0.130395	−	0.150484i
$700$	−1.08234	+	0.695581i	−0.0409088	+	0.0262905i
$701$	5.20533	+	36.2039i	0.196603	+	1.36740i	0.814052	+	0.580792i	$0.197257\pi$
$701$	5.20533	+	36.2039i	0.196603	+	1.36740i	−0.617449	+	0.786611i	$0.711834\pi$
$702$	−0.0507209	−	0.352772i	−0.00191434	−	0.0133145i
$703$	−28.2606	+	18.1620i	−1.06587	+	0.684992i
$704$	2.21133	−	2.55201i	0.0833426	−	0.0961825i
$705$	4.76231	−	10.4280i	0.179359	−	0.392741i
$706$	−24.0991	−	15.4875i	−0.906980	−	0.582881i
$707$	−11.3169	+	3.32294i	−0.425616	+	0.124972i
$708$	3.46568	+	3.99960i	0.130248	+	0.150314i
$709$	40.0800	+	11.7686i	1.50524	+	0.441978i	0.927368	−	0.374151i	$-0.122066\pi$
$709$	40.0800	+	11.7686i	1.50524	+	0.441978i	0.577870	+	0.816129i	$0.303884\pi$
$710$	12.5895	+	27.5672i	0.472476	+	1.03458i
$711$	0.118206	−	0.822142i	0.00443308	−	0.0308327i
$712$	4.84528			0.181585
$713$	−30.1408	−	7.03621i	−1.12878	−	0.263508i
$714$	−6.15878			−0.230487
$715$	−0.429437	+	2.98680i	−0.0160600	+	0.111700i
$716$	−0.890158	−	1.94918i	−0.0332668	−	0.0728441i
$717$	−8.31019	−	2.44009i	−0.310350	−	0.0911269i
$718$	12.1907	+	14.0689i	0.454954	+	0.525045i
$719$	−39.0978	+	11.4802i	−1.45810	+	0.428137i	−0.912212	−	0.409719i	$-0.865627\pi$
$719$	−39.0978	+	11.4802i	−1.45810	+	0.428137i	−0.545891	+	0.837857i	$0.683809\pi$
$720$	−2.10928	−	1.35555i	−0.0786082	−	0.0505184i
$721$	−2.20387	+	4.82580i	−0.0820764	+	0.179722i
$722$	24.1304	−	27.8480i	0.898042	−	1.03640i
$723$	−17.4205	+	11.1955i	−0.647877	+	0.416365i
$724$	3.35155	+	23.3105i	0.124559	+	0.866329i
$725$	0.941985	+	6.55165i	0.0349844	+	0.243322i
$726$	0.338798	−	0.217732i	0.0125740	−	0.00808080i
$727$	−7.59270	+	8.76244i	−0.281598	+	0.324981i	−0.878874	−	0.477055i	$-0.841704\pi$
$727$	−7.59270	+	8.76244i	−0.281598	+	0.324981i	0.597276	+	0.802036i	$0.296250\pi$
$728$	0.148054	−	0.324192i	0.00548723	−	0.0120154i
$729$	0.841254	+	0.540641i	0.0311575	+	0.0200237i
$730$	6.92213	−	2.03252i	0.256199	−	0.0752270i
$731$	−1.34707	−	1.55460i	−0.0498231	−	0.0574989i
$732$	12.0389	+	3.53495i	0.444971	+	0.130655i
$733$	3.04795	+	6.67408i	0.112579	+	0.246513i	0.957532	−	0.288327i	$-0.0930991\pi$
$733$	3.04795	+	6.67408i	0.112579	+	0.246513i	−0.844953	+	0.534840i	$0.820372\pi$
$734$	−3.76502	+	26.1863i	−0.138970	+	0.966555i
$735$	2.50731			0.0924834
$736$	4.17393	+	2.36185i	0.153853	+	0.0870590i
$737$	13.7880			0.507887
$738$	−0.844866	+	5.87617i	−0.0310999	+	0.216305i
$739$	−0.640978	−	1.40355i	−0.0235788	−	0.0516303i	0.897476	−	0.441063i	$-0.145398\pi$
$739$	−0.640978	−	1.40355i	−0.0235788	−	0.0516303i	−0.921055	+	0.389433i	$0.872671\pi$
$740$	10.8143	+	3.17537i	0.397542	+	0.116729i
$741$	−1.74418	−	2.01289i	−0.0640739	−	0.0739453i
$742$	0.991092	−	0.291011i	0.0363841	−	0.0106833i
$743$	−25.9181	−	16.6566i	−0.950843	−	0.611070i	−0.0293938	−	0.999568i	$-0.509358\pi$
$743$	−25.9181	−	16.6566i	−0.950843	−	0.611070i	−0.921450	+	0.388498i	$0.872994\pi$
$744$	−2.68100	+	5.87056i	−0.0982901	+	0.215225i
$745$	−0.463869	+	0.535333i	−0.0169948	+	0.0196131i
$746$	−2.95385	+	1.89832i	−0.108148	+	0.0695025i
$747$	−1.27050	−	8.83654i	−0.0464853	−	0.323312i
$748$	2.95971	+	20.5852i	0.108218	+	0.752671i
$749$	2.94400	−	1.89199i	0.107571	−	0.0691319i
$750$	−6.09719	+	7.03653i	−0.222638	+	0.256938i
$751$	−11.1764	+	24.4730i	−0.407834	+	0.893032i	0.588582	+	0.808438i	$0.299687\pi$
$751$	−11.1764	+	24.4730i	−0.407834	+	0.893032i	−0.996416	+	0.0845938i	$0.973041\pi$
$752$	3.84640	+	2.47193i	0.140264	+	0.0901421i
$753$	−22.8148	+	6.69904i	−0.831418	+	0.244126i
$754$	−1.20072	−	1.38570i	−0.0437276	−	0.0504643i
$755$	−5.05033	−	1.48291i	−0.183800	−	0.0539687i
$756$	0.415415	+	0.909632i	0.0151085	+	0.0330830i
$757$	4.30651	−	29.9525i	0.156523	−	1.08864i	−0.748456	−	0.663184i	$-0.769205\pi$
$757$	4.30651	−	29.9525i	0.156523	−	1.08864i	0.904979	−	0.425456i	$-0.139886\pi$
$758$	−4.05472			−0.147274
$759$	11.2766	+	11.6233i	0.409315	+	0.421899i
$760$	−18.7375			−0.679681
$761$	−3.49370	+	24.2992i	−0.126647	+	0.880846i	0.823116	+	0.567874i	$0.192234\pi$
$761$	−3.49370	+	24.2992i	−0.126647	+	0.880846i	−0.949762	+	0.312972i	$0.898675\pi$
$762$	−2.93372	−	6.42394i	−0.106277	−	0.232715i
$763$	−3.69791	−	1.08580i	−0.133873	−	0.0393087i
$764$	−9.27966	−	10.7093i	−0.335726	−	0.387449i
$765$	14.8164	−	4.35050i	0.535690	−	0.157293i
$766$	−16.0681	−	10.3263i	−0.580564	−	0.373106i
$767$	0.783535	−	1.71570i	0.0282918	−	0.0619504i
$768$	0.654861	−	0.755750i	0.0236303	−	0.0272708i
$769$	−34.1186	+	21.9267i	−1.23035	+	0.790697i	−0.983945	−	0.178471i	$-0.942885\pi$
$769$	−34.1186	+	21.9267i	−1.23035	+	0.790697i	−0.246403	+	0.969168i	$0.579249\pi$
$770$	−1.20493	−	8.38048i	−0.0434227	−	0.302011i
$771$	−1.51394	−	10.5297i	−0.0545232	−	0.379217i
$772$	21.5881	−	13.8738i	0.776972	−	0.499330i
$773$	10.7469	−	12.4026i	0.386540	−	0.446091i	−0.528816	−	0.848736i	$-0.677364\pi$
$773$	10.7469	−	12.4026i	0.386540	−	0.446091i	0.915356	+	0.402646i	$0.131909\pi$
$774$	−0.138748	+	0.303817i	−0.00498721	+	0.0109205i
$775$	−6.98521	−	4.48912i	−0.250916	−	0.161254i
$776$	13.0784	−	3.84015i	0.469486	−	0.137853i
$777$	−2.94373	−	3.39725i	−0.105606	−	0.121876i
$778$	−23.0456	−	6.76679i	−0.826224	−	0.242601i
$779$	18.4300	+	40.3560i	0.660322	+	1.44590i
$780$	−0.127173	+	0.884507i	−0.00455352	+	0.0316704i
$781$	−40.8153			−1.46049
$782$	−27.8273	+	9.90184i	−0.995101	+	0.354089i
$783$	5.14464			0.183854
$784$	−0.142315	+	0.989821i	−0.00508267	+	0.0353508i
$785$	−18.1675	−	39.7812i	−0.648425	−	1.41985i
$786$	−6.19686	−	1.81956i	−0.221035	−	0.0649017i
$787$	1.45449	+	1.67858i	0.0518471	+	0.0598347i	0.781081	−	0.624430i	$-0.214669\pi$
$787$	1.45449	+	1.67858i	0.0518471	+	0.0598347i	−0.729234	+	0.684265i	$0.760123\pi$
$788$	−1.50616	+	0.442249i	−0.0536548	+	0.0157545i
$789$	−23.0622	−	14.8212i	−0.821035	−	0.527647i
$790$	−0.865126	+	1.89436i	−0.0307798	+	0.0673984i
$791$	0.425955	−	0.491578i	0.0151452	−	0.0174785i
$792$	2.84074	−	1.82563i	0.100941	−	0.0648710i
$793$	−0.636404	−	4.42629i	−0.0225994	−	0.157182i
$794$	−1.00471	−	6.98789i	−0.0356557	−	0.247991i
$795$	−2.17875	+	1.40019i	−0.0772721	+	0.0496598i
$796$	3.06825	−	3.54094i	0.108751	−	0.125505i
$797$	10.2989	−	22.5516i	0.364807	−	0.798817i	−0.634850	−	0.772636i	$-0.718938\pi$
$797$	10.2989	−	22.5516i	0.364807	−	0.798817i	0.999657	−	0.0261813i	$-0.00833472\pi$
$798$	6.28683	+	4.04030i	0.222551	+	0.143025i
$799$	−27.0187	+	7.93340i	−0.955852	+	0.280663i
$800$	0.842534	+	0.972337i	0.0297881	+	0.0343773i
$801$	4.64901	+	1.36507i	0.164265	+	0.0482325i
$802$	−7.33796	−	16.0679i	−0.259112	−	0.567377i
$803$	−1.38275	+	9.61727i	−0.0487963	+	0.339386i
$804$	4.08316			0.144002
$805$	11.3288	−	4.03115i	0.399287	−	0.142079i
$806$	2.30012			0.0810183
$807$	2.86806	−	19.9478i	0.100961	−	0.702197i
$808$	4.89968	+	10.7288i	0.172370	+	0.377438i
$809$	−26.3344	−	7.73248i	−0.925868	−	0.271859i	−0.216162	−	0.976357i	$-0.569354\pi$
$809$	−26.3344	−	7.73248i	−0.925868	−	0.271859i	−0.709706	+	0.704498i	$0.751172\pi$
$810$	−1.64194	−	1.89490i	−0.0576918	−	0.0665799i
$811$	12.9463	−	3.80136i	0.454604	−	0.133484i	−0.0464107	−	0.998922i	$-0.514778\pi$
$811$	12.9463	−	3.80136i	0.454604	−	0.133484i	0.501015	+	0.865439i	$0.332960\pi$
$812$	4.32795	+	2.78140i	0.151881	+	0.0976081i
$813$	−2.19493	+	4.80622i	−0.0769795	+	0.168562i
$814$	−9.94038	+	11.4718i	−0.348410	+	0.402087i
$815$	−27.5029	+	17.6750i	−0.963384	+	0.619129i
$816$	0.876486	+	6.09609i	0.0306831	+	0.213406i
$817$	0.355223	+	2.47063i	0.0124277	+	0.0864363i
$818$	−25.5340	+	16.4097i	−0.892776	+	0.573752i
$819$	0.233392	−	0.269349i	0.00815538	−	0.00941181i
$820$	6.18340	−	13.5398i	0.215934	−	0.472829i
$821$	−16.7926	−	10.7919i	−0.586065	−	0.376641i	0.213749	−	0.976889i	$-0.431432\pi$
$821$	−16.7926	−	10.7919i	−0.586065	−	0.376641i	−0.799814	+	0.600247i	$0.795069\pi$
$822$	−3.85951	+	1.13326i	−0.134616	+	0.0395268i
$823$	17.6554	+	20.3754i	0.615427	+	0.710241i	0.974832	−	0.222941i	$-0.0715657\pi$
$823$	17.6554	+	20.3754i	0.615427	+	0.710241i	−0.359405	+	0.933182i	$0.617020\pi$
$824$	5.09032	+	1.49465i	0.177330	+	0.0520687i
$825$	1.80478	+	3.95193i	0.0628345	+	0.137588i
$826$	−0.753163	+	5.23837i	−0.0262059	+	0.182266i
$827$	−32.2850			−1.12266			−0.561329	−	0.827592i	$-0.689710\pi$
$827$	−32.2850			−1.12266			−0.561329	+	0.827592i	$0.689710\pi$
$828$	3.33944	+	3.44211i	0.116054	+	0.119622i
$829$	45.1408			1.56781			0.783903	−	0.620884i	$-0.213226\pi$
$829$	45.1408			1.56781			0.783903	+	0.620884i	$0.213226\pi$
$830$	−3.18554	+	22.1559i	−0.110572	+	0.769043i
$831$	0.744850	+	1.63099i	0.0258385	+	0.0565785i
$832$	−0.341963	−	0.100409i	−0.0118554	−	0.00348107i
$833$	−4.03314	−	4.65449i	−0.139740	−	0.161269i
$834$	15.3209	−	4.49863i	0.530521	−	0.155775i
$835$	−23.9970	−	15.4219i	−0.830449	−	0.533697i
$836$	10.4831	−	22.9549i	0.362567	−	0.793911i
$837$	−4.22632	+	4.87744i	−0.146083	+	0.168589i
$838$	−10.2524	+	6.58882i	−0.354163	+	0.227607i
$839$	5.14460	+	35.7815i	0.177611	+	1.23531i	0.862269	+	0.506450i	$0.169042\pi$
$839$	5.14460	+	35.7815i	0.177611	+	1.23531i	−0.684658	+	0.728864i	$0.740048\pi$
$840$	−0.356827	−	2.48179i	−0.0123117	−	0.0856297i
$841$	−2.13062	+	1.36927i	−0.0734698	+	0.0472162i
$842$	−6.18500	+	7.13787i	−0.213149	+	0.245987i
$843$	−9.61402	+	21.0518i	−0.331124	+	0.725061i
$844$	−16.9293	−	10.8798i	−0.582732	−	0.374499i
$845$	−30.9691	+	9.09334i	−1.06537	+	0.312820i
$846$	2.99417	+	3.45546i	0.102942	+	0.118801i
$847$	0.386416	+	0.113462i	0.0132774	+	0.00389860i
$848$	−0.429096	−	0.939589i	−0.0147352	−	0.0322656i
$849$	3.53780	−	24.6059i	0.121417	−	0.844473i
$850$	−7.92380			−0.271784
$851$	−18.7627	−	10.6170i	−0.643176	−	0.363946i
$852$	−12.0870			−0.414094
$853$	−3.66762	+	25.5088i	−0.125577	+	0.873406i	0.825489	+	0.564418i	$0.190899\pi$
$853$	−3.66762	+	25.5088i	−0.125577	+	0.873406i	−0.951066	+	0.308988i	$0.900010\pi$
$854$	5.21228	+	11.4133i	0.178361	+	0.390555i
$855$	−17.9785	−	5.27897i	−0.614852	−	0.180537i
$856$	−2.29171	−	2.64477i	−0.0783290	−	0.0903965i
$857$	12.1936	−	3.58038i	0.416527	−	0.122303i	−0.0667524	−	0.997770i	$-0.521264\pi$
$857$	12.1936	−	3.58038i	0.416527	−	0.122303i	0.483279	+	0.875466i	$0.339446\pi$
$858$	−1.01244	−	0.650654i	−0.0345641	−	0.0222130i
$859$	14.4434	−	31.6266i	0.492803	−	1.07909i	−0.485939	−	0.873992i	$-0.661522\pi$
$859$	14.4434	−	31.6266i	0.492803	−	1.07909i	0.978742	−	0.205095i	$-0.0657503\pi$
$860$	0.548406	−	0.632894i	0.0187005	−	0.0215815i
$861$	−4.99418	+	3.20957i	−0.170201	+	0.109382i
$862$	−0.953374	−	6.63086i	−0.0324720	−	0.225848i
$863$	−3.94090	−	27.4096i	−0.134150	−	0.933033i	−0.940063	−	0.341000i	$-0.889235\pi$
$863$	−3.94090	−	27.4096i	−0.134150	−	0.933033i	0.805914	−	0.592033i	$-0.201675\pi$
$864$	0.841254	−	0.540641i	0.0286200	−	0.0183930i
$865$	−40.2038	+	46.3976i	−1.36697	+	1.57757i
$866$	7.34100	−	16.0745i	0.249457	−	0.546235i
$867$	−17.6079	−	11.3159i	−0.597996	−	0.384309i
$868$	−6.19235	+	1.81824i	−0.210182	+	0.0617150i
$869$	−1.83672	−	2.11969i	−0.0623065	−	0.0719055i
$870$	−12.3767	−	3.63412i	−0.419609	−	0.123208i
$871$	−0.604526	−	1.32373i	−0.0204836	−	0.0448528i
$872$	−0.548484	+	3.81479i	−0.0185740	+	0.129185i
$873$	13.6305			0.461322
$874$	34.9017	+	8.14760i	1.18057	+	0.275597i
$875$	−9.31067			−0.314758
$876$	−0.409488	+	2.84805i	−0.0138353	+	0.0962266i
$877$	−22.7100	−	49.7280i	−0.766863	−	1.67919i	−0.733441	−	0.679754i	$-0.762087\pi$
$877$	−22.7100	−	49.7280i	−0.766863	−	1.67919i	−0.0334221	−	0.999441i	$-0.510641\pi$
$878$	−26.4572	−	7.76852i	−0.892886	−	0.262175i
$879$	20.7363	+	23.9310i	0.699418	+	0.807172i
$880$	−8.12370	+	2.38533i	−0.273850	+	0.0804095i
$881$	40.6992	+	26.1558i	1.37119	+	0.881212i	0.998899	−	0.0469033i	$-0.0149353\pi$
$881$	40.6992	+	26.1558i	1.37119	+	0.881212i	0.372293	+	0.928115i	$0.378572\pi$
$882$	−0.415415	+	0.909632i	−0.0139878	+	0.0306289i
$883$	33.3912	−	38.5355i	1.12370	−	1.29682i	0.173623	−	0.984812i	$-0.444453\pi$
$883$	33.3912	−	38.5355i	1.12370	−	1.29682i	0.950079	−	0.312009i	$-0.101002\pi$
$884$	1.84654	−	1.18670i	0.0621058	−	0.0399130i
$885$	−1.88841	−	13.1342i	−0.0634783	−	0.441501i
$886$	−0.938595	−	6.52807i	−0.0315327	−	0.219315i
$887$	4.72415	−	3.03603i	0.158621	−	0.101940i	−0.458922	−	0.888476i	$-0.651764\pi$
$887$	4.72415	−	3.03603i	0.158621	−	0.101940i	0.617544	+	0.786537i	$0.288128\pi$
$888$	−2.94373	+	3.39725i	−0.0987853	+	0.114004i
$889$	2.93372	−	6.42394i	0.0983937	−	0.215452i
$890$	−10.2201	−	6.56803i	−0.342577	−	0.220161i
$891$	3.24001	−	0.951352i	0.108544	−	0.0318715i
$892$	11.3334	+	13.0794i	0.379470	+	0.437932i
$893$	32.7849	+	9.62652i	1.09711	+	0.322139i
$894$	−0.117360	−	0.256983i	−0.00392512	−	0.00859480i
$895$	−0.764615	+	5.31801i	−0.0255583	+	0.177762i
$896$	1.00000			0.0334077
$897$	0.621489	−	1.59224i	0.0207509	−	0.0531633i
$898$	25.9172			0.864869
$899$	−4.72519	+	32.8644i	−0.157594	+	1.09609i
$900$	0.534467	+	1.17032i	0.0178156	+	0.0390106i
$901$	6.10392	+	1.79227i	0.203351	+	0.0597092i
$902$	13.1278	+	15.1503i	0.437107	+	0.504448i
$903$	−0.320470	+	0.0940986i	−0.0106646	+	0.00313140i
$904$	−0.547194	−	0.351660i	−0.0181994	−	0.0116960i
$905$	24.5293	−	53.7116i	0.815381	−	1.78544i
$906$	1.37474	−	1.58653i	0.0456726	−	0.0527090i
$907$	−2.79632	+	1.79708i	−0.0928502	+	0.0596712i	−0.586242	−	0.810136i	$-0.699393\pi$
$907$	−2.79632	+	1.79708i	−0.0928502	+	0.0596712i	0.493392	+	0.869807i	$0.335757\pi$
$908$	0.936434	+	6.51304i	0.0310767	+	0.216143i
$909$	1.67856	+	11.6746i	0.0556742	+	0.387223i
$910$	−0.751746	+	0.483118i	−0.0249201	+	0.0160152i
$911$	16.3449	−	18.8630i	0.541531	−	0.624960i	−0.417358	−	0.908742i	$-0.637044\pi$
$911$	16.3449	−	18.8630i	0.541531	−	0.624960i	0.958889	+	0.283782i	$0.0915893\pi$
$912$	3.10447	−	6.79783i	0.102799	−	0.225099i
$913$	−25.3604	−	16.2982i	−0.839308	−	0.539391i
$914$	−0.389242	+	0.114292i	−0.0128750	+	0.00378044i
$915$	−20.6017	−	23.7756i	−0.681070	−	0.785996i
$916$	6.52687	+	1.91646i	0.215654	+	0.0633217i
$917$	−2.68295	−	5.87484i	−0.0885988	−	0.194004i
$918$	−0.876486	+	6.09609i	−0.0289283	+	0.201201i
$919$	41.2636			1.36116			0.680579	−	0.732674i	$-0.261728\pi$
$919$	41.2636			1.36116			0.680579	+	0.732674i	$0.261728\pi$
$920$	−5.60237	−	10.6398i	−0.184705	−	0.350783i
$921$	−14.0841			−0.464088
$922$	4.66673	−	32.4579i	0.153691	−	1.06894i
$923$	1.78953	+	3.91852i	0.0589030	+	0.128980i
$924$	3.24001	+	0.951352i	0.106588	+	0.0312972i
$925$	−3.78737	−	4.37085i	−0.124528	−	0.143713i
$926$	−5.74402	+	1.68660i	−0.188760	+	0.0554250i
$927$	4.46304	+	2.86822i	0.146585	+	0.0942047i
$928$	2.13716	−	4.67973i	0.0701557	−	0.153620i
$929$	−7.00987	+	8.08982i	−0.229986	+	0.265418i	−0.859000	−	0.511976i	$-0.828914\pi$
$929$	−7.00987	+	8.08982i	−0.229986	+	0.265418i	0.629013	+	0.777394i	$0.283459\pi$
$930$	13.6128	−	8.74843i	0.446382	−	0.286872i
$931$	1.06354	+	7.39710i	0.0348562	+	0.242430i
$932$	−0.749205	−	5.21084i	−0.0245410	−	0.170687i
$933$	−11.5569	+	7.42716i	−0.378355	+	0.243154i
$934$	22.5376	−	26.0098i	0.737453	−	0.851066i
$935$	21.6615	−	47.4321i	0.708407	−	1.55120i
$936$	−0.299822	−	0.192684i	−0.00980000	−	0.00629808i
$937$	14.4108	−	4.23139i	0.470780	−	0.138234i	−0.0377327	−	0.999288i	$-0.512014\pi$
$937$	14.4108	−	4.23139i	0.470780	−	0.138234i	0.508513	+	0.861054i	$0.330195\pi$
$938$	2.67390	+	3.08584i	0.0873059	+	0.100756i
$939$	6.78781	+	1.99308i	0.221512	+	0.0650417i
$940$	−4.76231	−	10.4280i	−0.155329	−	0.340124i
$941$	0.0607754	−	0.422702i	0.00198122	−	0.0137797i	−0.988807	−	0.149201i	$-0.952330\pi$
$941$	0.0607754	−	0.422702i	0.00198122	−	0.0137797i	0.990788	+	0.135422i	$0.0432389\pi$
$942$	17.4424			0.568303
$943$	−17.4050	+	22.5313i	−0.566786	+	0.733719i
$944$	5.29223			0.172248
$945$	0.356827	−	2.48179i	0.0116076	−	0.0807325i
$946$	0.468525	+	1.02593i	0.0152331	+	0.0333557i
$947$	−27.9918	−	8.21913i	−0.909611	−	0.267086i	−0.206734	−	0.978397i	$-0.566283\pi$
$947$	−27.9918	−	8.21913i	−0.909611	−	0.267086i	−0.702877	+	0.711311i	$0.748102\pi$
$948$	−0.543925	−	0.627722i	−0.0176658	−	0.0203875i
$949$	0.983942	−	0.288911i	0.0319401	−	0.00937846i
$950$	8.08854	+	5.19819i	0.262427	+	0.168652i
$951$	−11.1754	+	24.4708i	−0.362388	+	0.793519i
$952$	−4.03314	+	4.65449i	−0.130715	+	0.150853i
$953$	35.4089	−	22.7559i	1.14701	−	0.737136i	0.177965	−	0.984037i	$-0.443049\pi$
$953$	35.4089	−	22.7559i	1.14701	−	0.737136i	0.969041	+	0.246901i	$0.0794122\pi$
$954$	−0.147002	−	1.02242i	−0.00475936	−	0.0331020i
$955$	5.05639	+	35.1680i	0.163621	+	1.13801i
$956$	−7.28611	+	4.68250i	−0.235650	+	0.151443i
$957$	11.3765	−	13.1292i	0.367750	−	0.424406i
$958$	−1.40887	+	3.08499i	−0.0455185	+	0.0996716i
$959$	−3.38390	−	2.17470i	−0.109272	−	0.0702247i
$960$	−2.40574	+	0.706390i	−0.0776450	+	0.0227986i
$961$	−6.97507	−	8.04966i	−0.225002	−	0.259666i
$962$	1.53719	+	0.451361i	0.0495611	+	0.0145525i
$963$	−1.45376	−	3.18329i	−0.0468467	−	0.102580i
$964$	−2.94703	+	20.4971i	−0.0949175	+	0.660166i
$965$	−64.3420			−2.07124
$966$	−0.414503	+	4.77789i	−0.0133364	+	0.153726i
$967$	25.8573			0.831513			0.415757	−	0.909476i	$-0.363517\pi$
$967$	25.8573			0.831513			0.415757	+	0.909476i	$0.363517\pi$
$968$	0.0573144	−	0.398631i	0.00184216	−	0.0128125i
$969$	19.1197	+	41.8663i	0.614214	+	1.34494i
$970$	−32.7915	−	9.62844i	−1.05287	−	0.309151i
$971$	5.71151	+	6.59144i	0.183291	+	0.211529i	0.839958	−	0.542652i	$-0.182580\pi$
$971$	5.71151	+	6.59144i	0.183291	+	0.211529i	−0.656667	+	0.754181i	$0.728034\pi$
$972$	0.959493	−	0.281733i	0.0307758	−	0.00903658i
$973$	13.4329	+	8.63282i	0.430640	+	0.276755i
$974$	12.8866	−	28.2178i	0.412915	−	0.904157i
$975$	0.300279	−	0.346540i	0.00961662	−	0.0110982i
$976$	10.5553	−	6.78351i	0.337868	−	0.217135i
$977$	−4.36900	−	30.3871i	−0.139777	−	0.972169i	−0.932134	−	0.362112i	$-0.882056\pi$
$977$	−4.36900	−	30.3871i	−0.139777	−	0.972169i	0.792358	−	0.610057i	$-0.208853\pi$
$978$	−1.85564	−	12.9063i	−0.0593369	−	0.412697i
$979$	13.7642	−	8.84570i	0.439905	−	0.282710i
$980$	1.64194	−	1.89490i	0.0524497	−	0.0605302i
$981$	−1.60102	+	3.50574i	−0.0511166	+	0.111930i
$982$	26.7205	+	17.1722i	0.852686	+	0.547988i
$983$	−49.8779	+	14.6455i	−1.59086	+	0.467118i	−0.952984	−	0.303021i	$-0.902005\pi$
$983$	−49.8779	+	14.6455i	−1.59086	+	0.467118i	−0.637875	+	0.770140i	$0.720186\pi$
$984$	3.88764	+	4.48658i	0.123934	+	0.143027i
$985$	3.77641	+	1.10885i	0.120326	+	0.0353310i
$986$	13.1623	+	28.8214i	0.419173	+	0.917861i
$987$	−0.650696	+	4.52569i	−0.0207119	+	0.144054i
$988$	−2.66343			−0.0847351
$989$	−1.29670	+	0.940406i	−0.0412325	+	0.0299032i
$990$	−8.46665			−0.269088
$991$	−1.85500	+	12.9018i	−0.0589260	+	0.409840i	0.938914	+	0.344151i	$0.111833\pi$
$991$	−1.85500	+	12.9018i	−0.0589260	+	0.409840i	−0.997840	+	0.0656882i	$0.979076\pi$
$992$	2.68100	+	5.87056i	0.0851217	+	0.186390i
$993$	−17.7135	−	5.20115i	−0.562120	−	0.165053i
$994$	−7.91531	−	9.13475i	−0.251058	−	0.289737i
$995$	−11.2717	+	3.30968i	−0.357338	+	0.104924i
$996$	−7.51022	−	4.82652i	−0.237970	−	0.152934i
$997$	−12.1910	+	26.6945i	−0.386092	+	0.845423i	0.612401	+	0.790547i	$0.290204\pi$
$997$	−12.1910	+	26.6945i	−0.386092	+	0.845423i	−0.998493	+	0.0548763i	$0.982524\pi$
$998$	18.1258	−	20.9183i	0.573762	−	0.662157i
$999$	−3.78161	+	2.43029i	−0.119645	+	0.0768910i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.q.g.169.3	✓	30
23.3	even	11	inner	966.2.q.g.463.3	yes	30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.q.g.169.3	✓	30	1.1	even	1	trivial
966.2.q.g.463.3	yes	30	23.3	even	11	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.q (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.142315 - 0.989821i) q^{2} +(-0.415415 - 0.909632i) q^{3} +(-0.959493 - 0.281733i) q^{4} +(1.64194 + 1.89490i) q^{5} +(-0.959493 + 0.281733i) q^{6} +(-0.841254 - 0.540641i) q^{7} +(-0.415415 + 0.909632i) q^{8} +(-0.654861 + 0.755750i) q^{9} +O(q^{10})\)	\(q+(0.142315 - 0.989821i) q^{2} +(-0.415415 - 0.909632i) q^{3} +(-0.959493 - 0.281733i) q^{4} +(1.64194 + 1.89490i) q^{5} +(-0.959493 + 0.281733i) q^{6} +(-0.841254 - 0.540641i) q^{7} +(-0.415415 + 0.909632i) q^{8} +(-0.654861 + 0.755750i) q^{9} +(2.10928 - 1.35555i) q^{10} +(0.480568 + 3.34242i) q^{11} +(0.142315 + 0.989821i) q^{12} +(0.299822 - 0.192684i) q^{13} +(-0.654861 + 0.755750i) q^{14} +(1.04157 - 2.28073i) q^{15} +(0.841254 + 0.540641i) q^{16} +(-5.90931 + 1.73513i) q^{17} +(0.654861 + 0.755750i) q^{18} +(7.17045 + 2.10543i) q^{19} +(-1.04157 - 2.28073i) q^{20} +(-0.142315 + 0.989821i) q^{21} +3.37679 q^{22} +(0.948373 + 4.70113i) q^{23} +1.00000 q^{24} +(-0.183100 + 1.27349i) q^{25} +(-0.148054 - 0.324192i) q^{26} +(0.959493 + 0.281733i) q^{27} +(0.654861 + 0.755750i) q^{28} +(4.93625 - 1.44941i) q^{29} +(-2.10928 - 1.35555i) q^{30} +(-2.68100 + 5.87056i) q^{31} +(0.654861 - 0.755750i) q^{32} +(2.84074 - 1.82563i) q^{33} +(0.876486 + 6.09609i) q^{34} +(-0.356827 - 2.48179i) q^{35} +(0.841254 - 0.540641i) q^{36} +(-2.94373 + 3.39725i) q^{37} +(3.10447 - 6.79783i) q^{38} +(-0.299822 - 0.192684i) q^{39} +(-2.40574 + 0.706390i) q^{40} +(3.88764 + 4.48658i) q^{41} +(0.959493 + 0.281733i) q^{42} +(0.138748 + 0.303817i) q^{43} +(0.480568 - 3.34242i) q^{44} -2.50731 q^{45} +(4.78824 - 0.269680i) q^{46} +4.57223 q^{47} +(0.142315 - 0.989821i) q^{48} +(0.415415 + 0.909632i) q^{49} +(1.23447 + 0.362473i) q^{50} +(4.03314 + 4.65449i) q^{51} +(-0.341963 + 0.100409i) q^{52} +(-0.868959 - 0.558446i) q^{53} +(0.415415 - 0.909632i) q^{54} +(-5.54448 + 6.39867i) q^{55} +(0.841254 - 0.540641i) q^{56} +(-1.06354 - 7.39710i) q^{57} +(-0.732159 - 5.09228i) q^{58} +(4.45211 - 2.86120i) q^{59} +(-1.64194 + 1.89490i) q^{60} +(5.21228 - 11.4133i) q^{61} +(5.42926 + 3.48917i) q^{62} +(0.959493 - 0.281733i) q^{63} +(-0.654861 - 0.755750i) q^{64} +(0.857405 + 0.251757i) q^{65} +(-1.40277 - 3.07164i) q^{66} +(0.581094 - 4.04160i) q^{67} +6.15878 q^{68} +(3.88233 - 2.81559i) q^{69} -2.50731 q^{70} +(-1.72016 + 11.9640i) q^{71} +(-0.415415 - 0.909632i) q^{72} +(2.76078 + 0.810639i) q^{73} +(2.94373 + 3.39725i) q^{74} +(1.23447 - 0.362473i) q^{75} +(-6.28683 - 4.04030i) q^{76} +(1.40277 - 3.07164i) q^{77} +(-0.233392 + 0.269349i) q^{78} +(-0.698742 + 0.449054i) q^{79} +(0.356827 + 2.48179i) q^{80} +(-0.142315 - 0.989821i) q^{81} +(4.99418 - 3.20957i) q^{82} +(-5.84621 + 6.74689i) q^{83} +(0.415415 - 0.909632i) q^{84} +(-12.9906 - 8.34855i) q^{85} +(0.320470 - 0.0940986i) q^{86} +(-3.36902 - 3.88806i) q^{87} +(-3.24001 - 0.951352i) q^{88} +(-2.01280 - 4.40742i) q^{89} +(-0.356827 + 2.48179i) q^{90} -0.356399 q^{91} +(0.414503 - 4.77789i) q^{92} +6.45378 q^{93} +(0.650696 - 4.52569i) q^{94} +(7.78385 + 17.0442i) q^{95} +(-0.959493 - 0.281733i) q^{96} +(-8.92608 - 10.3012i) q^{97} +(0.959493 - 0.281733i) q^{98} +(-2.84074 - 1.82563i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 10 q^{5} - 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) \) 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 - 10 * q^5 - 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9	\( 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 10 q^{5} - 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9} + 10 q^{10} + 9 q^{11} + 3 q^{12} - 12 q^{13} - 3 q^{14} - q^{15} - 3 q^{16} + 5 q^{17} + 3 q^{18} + 18 q^{19} + q^{20} - 3 q^{21} + 2 q^{22} + 21 q^{23} + 30 q^{24} + 13 q^{25} - 10 q^{26} + 3 q^{27} + 3 q^{28} + 17 q^{29} - 10 q^{30} + 12 q^{31} + 3 q^{32} + 13 q^{33} + 17 q^{34} - q^{35} - 3 q^{36} + 16 q^{37} + 15 q^{38} + 12 q^{39} - 12 q^{40} + 10 q^{41} + 3 q^{42} - 35 q^{43} + 9 q^{44} + 12 q^{45} + q^{46} - 8 q^{47} + 3 q^{48} - 3 q^{49} - 2 q^{50} + 6 q^{51} - q^{52} + 42 q^{53} - 3 q^{54} + 49 q^{55} - 3 q^{56} + 15 q^{57} + 5 q^{58} - 6 q^{59} + 10 q^{60} - 18 q^{61} - 34 q^{62} + 3 q^{63} - 3 q^{64} + 34 q^{65} - 2 q^{66} + 72 q^{67} - 6 q^{68} - 10 q^{69} + 12 q^{70} + 17 q^{71} + 3 q^{72} + 9 q^{73} - 16 q^{74} - 2 q^{75} + 18 q^{76} + 2 q^{77} + 10 q^{78} - 56 q^{79} + q^{80} - 3 q^{81} + 12 q^{82} + 52 q^{83} - 3 q^{84} - 53 q^{85} - 31 q^{86} + 5 q^{87} + 13 q^{88} - 104 q^{89} - q^{90} + 34 q^{91} - 12 q^{92} + 32 q^{93} - 14 q^{94} - 92 q^{95} - 3 q^{96} - 82 q^{97} + 3 q^{98} - 13 q^{99}+O(q^{100}) \) 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 - 10 * q^5 - 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9 + 10 * q^10 + 9 * q^11 + 3 * q^12 - 12 * q^13 - 3 * q^14 - q^15 - 3 * q^16 + 5 * q^17 + 3 * q^18 + 18 * q^19 + q^20 - 3 * q^21 + 2 * q^22 + 21 * q^23 + 30 * q^24 + 13 * q^25 - 10 * q^26 + 3 * q^27 + 3 * q^28 + 17 * q^29 - 10 * q^30 + 12 * q^31 + 3 * q^32 + 13 * q^33 + 17 * q^34 - q^35 - 3 * q^36 + 16 * q^37 + 15 * q^38 + 12 * q^39 - 12 * q^40 + 10 * q^41 + 3 * q^42 - 35 * q^43 + 9 * q^44 + 12 * q^45 + q^46 - 8 * q^47 + 3 * q^48 - 3 * q^49 - 2 * q^50 + 6 * q^51 - q^52 + 42 * q^53 - 3 * q^54 + 49 * q^55 - 3 * q^56 + 15 * q^57 + 5 * q^58 - 6 * q^59 + 10 * q^60 - 18 * q^61 - 34 * q^62 + 3 * q^63 - 3 * q^64 + 34 * q^65 - 2 * q^66 + 72 * q^67 - 6 * q^68 - 10 * q^69 + 12 * q^70 + 17 * q^71 + 3 * q^72 + 9 * q^73 - 16 * q^74 - 2 * q^75 + 18 * q^76 + 2 * q^77 + 10 * q^78 - 56 * q^79 + q^80 - 3 * q^81 + 12 * q^82 + 52 * q^83 - 3 * q^84 - 53 * q^85 - 31 * q^86 + 5 * q^87 + 13 * q^88 - 104 * q^89 - q^90 + 34 * q^91 - 12 * q^92 + 32 * q^93 - 14 * q^94 - 92 * q^95 - 3 * q^96 - 82 * q^97 + 3 * q^98 - 13 * q^99

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