LMFDB - Embedded newform 175.2.n.a.64.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [175,2,Mod(29,175)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(175, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([1, 0]))

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

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

chi := DirichletCharacter("175.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 175 = 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	175.n (of order $10$, degree $4$, 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:	$1.39738203537$
Analytic rank:	$0$
Dimension:	$56$
Relative dimension:	$14$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			64.6
Character	$\chi$	$=$	175.64
Dual form			175.2.n.a.134.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.455964 - 0.627580i) q^{2} +(1.65172 + 0.536677i) q^{3} +(0.432080 - 1.32981i) q^{4} +(0.928918 - 2.03399i) q^{5} +(-0.416318 - 1.28129i) q^{6} +1.00000i q^{7} +(-2.50710 + 0.814607i) q^{8} +(0.0131148 + 0.00952845i) q^{9} +O(q^{10})$	\(q+(-0.455964 - 0.627580i) q^{2} +(1.65172 + 0.536677i) q^{3} +(0.432080 - 1.32981i) q^{4} +(0.928918 - 2.03399i) q^{5} +(-0.416318 - 1.28129i) q^{6} +1.00000i q^{7} +(-2.50710 + 0.814607i) q^{8} +(0.0131148 + 0.00952845i) q^{9} +(-1.70004 + 0.344454i) q^{10} +(-0.163665 + 0.118910i) q^{11} +(1.42735 - 1.96458i) q^{12} +(-3.04682 + 4.19358i) q^{13} +(0.627580 - 0.455964i) q^{14} +(2.62591 - 2.86106i) q^{15} +(-0.608021 - 0.441753i) q^{16} +(7.18060 - 2.33312i) q^{17} -0.0125752i q^{18} +(0.924795 + 2.84623i) q^{19} +(-2.30344 - 2.11413i) q^{20} +(-0.536677 + 1.65172i) q^{21} +(0.149251 + 0.0484945i) q^{22} +(2.73422 + 3.76333i) q^{23} -4.57822 q^{24} +(-3.27422 - 3.77882i) q^{25} +4.02105 q^{26} +(-3.04591 - 4.19234i) q^{27} +(1.32981 + 0.432080i) q^{28} +(-0.471231 + 1.45030i) q^{29} +(-2.99286 - 0.343432i) q^{30} +(0.431053 + 1.32664i) q^{31} +5.85525i q^{32} +(-0.334145 + 0.108570i) q^{33} +(-4.73831 - 3.44259i) q^{34} +(2.03399 + 0.928918i) q^{35} +(0.0183376 - 0.0133231i) q^{36} +(-0.426777 + 0.587409i) q^{37} +(1.36456 - 1.87816i) q^{38} +(-7.28310 + 5.29148i) q^{39} +(-0.671992 + 5.85612i) q^{40} +(-7.01466 - 5.09645i) q^{41} +(1.28129 - 0.416318i) q^{42} +11.5163i q^{43} +(0.0874102 + 0.269021i) q^{44} +(0.0315633 - 0.0178242i) q^{45} +(1.11509 - 3.43189i) q^{46} +(6.36535 + 2.06823i) q^{47} +(-0.767204 - 1.05597i) q^{48} -1.00000 q^{49} +(-0.878586 + 3.77784i) q^{50} +13.1125 q^{51} +(4.26018 + 5.86364i) q^{52} +(2.07863 + 0.675388i) q^{53} +(-1.24220 + 3.82311i) q^{54} +(0.0898293 + 0.443350i) q^{55} +(-0.814607 - 2.50710i) q^{56} +5.19749i q^{57} +(1.12504 - 0.365549i) q^{58} +(-8.82680 - 6.41305i) q^{59} +(-2.67004 - 4.72816i) q^{60} +(-5.87322 + 4.26715i) q^{61} +(0.636032 - 0.875422i) q^{62} +(-0.00952845 + 0.0131148i) q^{63} +(2.45860 - 1.78628i) q^{64} +(5.69946 + 10.0927i) q^{65} +(0.220495 + 0.160199i) q^{66} +(-4.78966 + 1.55625i) q^{67} -10.5569i q^{68} +(2.49648 + 7.68337i) q^{69} +(-0.344454 - 1.70004i) q^{70} +(2.74689 - 8.45405i) q^{71} +(-0.0406421 - 0.0132054i) q^{72} +(-8.78534 - 12.0920i) q^{73} +0.563241 q^{74} +(-3.38010 - 7.99876i) q^{75} +4.18451 q^{76} +(-0.118910 - 0.163665i) q^{77} +(6.64166 + 2.15801i) q^{78} +(2.02424 - 6.22997i) q^{79} +(-1.46332 + 0.826356i) q^{80} +(-2.79610 - 8.60551i) q^{81} +6.72606i q^{82} +(3.39777 - 1.10400i) q^{83} +(1.96458 + 1.42735i) q^{84} +(1.92466 - 16.7725i) q^{85} +(7.22742 - 5.25102i) q^{86} +(-1.55669 + 2.14260i) q^{87} +(0.313460 - 0.431441i) q^{88} +(-0.313082 + 0.227467i) q^{89} +(-0.0255778 - 0.0116813i) q^{90} +(-4.19358 - 3.04682i) q^{91} +(6.18590 - 2.00992i) q^{92} +2.42259i q^{93} +(-1.60439 - 4.93781i) q^{94} +(6.64825 + 0.762889i) q^{95} +(-3.14238 + 9.67125i) q^{96} +(-9.75384 - 3.16922i) q^{97} +(0.455964 + 0.627580i) q^{98} -0.00327946 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 56 q + 12 q^{4} - 6 q^{5} + 6 q^{9}+O(q^{10}) $ 56 * q + 12 * q^4 - 6 * q^5 + 6 * q^9	$ 56 q + 12 q^{4} - 6 q^{5} + 6 q^{9} - 4 q^{10} + 8 q^{11} - 40 q^{12} - 4 q^{14} - 18 q^{15} - 32 q^{16} + 12 q^{19} + 12 q^{20} + 4 q^{21} - 30 q^{22} + 10 q^{23} - 28 q^{24} + 4 q^{25} + 12 q^{26} + 30 q^{27} - 2 q^{29} + 28 q^{30} + 12 q^{31} + 20 q^{33} + 2 q^{35} - 14 q^{36} - 70 q^{37} - 70 q^{38} - 4 q^{39} - 30 q^{40} + 4 q^{41} + 50 q^{42} + 22 q^{44} - 52 q^{45} - 4 q^{46} - 10 q^{47} + 30 q^{48} - 56 q^{49} - 54 q^{50} - 44 q^{51} - 20 q^{53} + 54 q^{54} - 2 q^{55} + 12 q^{56} + 10 q^{58} - 6 q^{59} + 16 q^{60} - 4 q^{61} + 50 q^{62} + 20 q^{63} + 24 q^{64} - 18 q^{65} - 74 q^{66} + 10 q^{67} - 78 q^{69} + 8 q^{70} - 8 q^{71} + 140 q^{72} + 40 q^{73} + 60 q^{74} - 8 q^{75} + 52 q^{76} - 20 q^{77} - 90 q^{78} + 124 q^{80} - 72 q^{81} - 30 q^{83} - 12 q^{84} + 96 q^{85} - 20 q^{86} + 30 q^{87} + 140 q^{88} + 38 q^{89} - 8 q^{90} + 8 q^{91} + 80 q^{92} + 88 q^{94} - 70 q^{95} - 28 q^{96} - 30 q^{97} + 60 q^{99}+O(q^{100}) $ 56 * q + 12 * q^4 - 6 * q^5 + 6 * q^9 - 4 * q^10 + 8 * q^11 - 40 * q^12 - 4 * q^14 - 18 * q^15 - 32 * q^16 + 12 * q^19 + 12 * q^20 + 4 * q^21 - 30 * q^22 + 10 * q^23 - 28 * q^24 + 4 * q^25 + 12 * q^26 + 30 * q^27 - 2 * q^29 + 28 * q^30 + 12 * q^31 + 20 * q^33 + 2 * q^35 - 14 * q^36 - 70 * q^37 - 70 * q^38 - 4 * q^39 - 30 * q^40 + 4 * q^41 + 50 * q^42 + 22 * q^44 - 52 * q^45 - 4 * q^46 - 10 * q^47 + 30 * q^48 - 56 * q^49 - 54 * q^50 - 44 * q^51 - 20 * q^53 + 54 * q^54 - 2 * q^55 + 12 * q^56 + 10 * q^58 - 6 * q^59 + 16 * q^60 - 4 * q^61 + 50 * q^62 + 20 * q^63 + 24 * q^64 - 18 * q^65 - 74 * q^66 + 10 * q^67 - 78 * q^69 + 8 * q^70 - 8 * q^71 + 140 * q^72 + 40 * q^73 + 60 * q^74 - 8 * q^75 + 52 * q^76 - 20 * q^77 - 90 * q^78 + 124 * q^80 - 72 * q^81 - 30 * q^83 - 12 * q^84 + 96 * q^85 - 20 * q^86 + 30 * q^87 + 140 * q^88 + 38 * q^89 - 8 * q^90 + 8 * q^91 + 80 * q^92 + 88 * q^94 - 70 * q^95 - 28 * q^96 - 30 * q^97 + 60 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/175\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$1$	$e\left(\frac{3}{10}\right)$

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 $

$2$	−0.455964	−	0.627580i	−0.322415	−	0.443766i	0.616788	−	0.787130i	$-0.288434\pi$
$2$	−0.455964	−	0.627580i	−0.322415	−	0.443766i	−0.939203	+	0.343363i	$0.888434\pi$
$3$	1.65172	+	0.536677i	0.953623	+	0.309851i	0.744187	−	0.667972i	$-0.232837\pi$
$3$	1.65172	+	0.536677i	0.953623	+	0.309851i	0.209436	+	0.977822i	$0.432837\pi$
$4$	0.432080	−	1.32981i	0.216040	−	0.664903i
$5$	0.928918	−	2.03399i	0.415425	−	0.909627i
$5$	0.928918	−	2.03399i	0.415425	−	0.909627i
$6$	−0.416318	−	1.28129i	−0.169961	−	0.523086i
$7$			1.00000i			0.377964i
$7$			1.00000i			0.377964i
$8$	−2.50710	+	0.814607i	−0.886394	+	0.288007i
$9$	0.0131148	+	0.00952845i	0.00437160	+	0.00317615i
$10$	−1.70004	+	0.344454i	−0.537601	+	0.108926i
$11$	−0.163665	+	0.118910i	−0.0493469	+	0.0358526i	−0.612185	−	0.790714i	$-0.709709\pi$
$11$	−0.163665	+	0.118910i	−0.0493469	+	0.0358526i	0.562838	+	0.826567i	$0.309709\pi$
$12$	1.42735	−	1.96458i	0.412041	−	0.567126i
$13$	−3.04682	+	4.19358i	−0.845035	+	1.16309i	0.139900	+	0.990166i	$0.455322\pi$
$13$	−3.04682	+	4.19358i	−0.845035	+	1.16309i	−0.984935	+	0.172925i	$0.944678\pi$
$14$	0.627580	−	0.455964i	0.167728	−	0.121861i
$15$	2.62591	−	2.86106i	0.678007	−	0.738722i
$16$	−0.608021	−	0.441753i	−0.152005	−	0.110438i
$17$	7.18060	−	2.33312i	1.74155	−	0.565864i	0.746515	−	0.665369i	$-0.231726\pi$
$17$	7.18060	−	2.33312i	1.74155	−	0.565864i	0.995037	+	0.0995044i	$0.0317257\pi$
$18$		−	0.0125752i		−	0.00296401i
$19$	0.924795	+	2.84623i	0.212163	+	0.652969i	0.999343	+	0.0362463i	$0.0115401\pi$
$19$	0.924795	+	2.84623i	0.212163	+	0.652969i	−0.787180	+	0.616723i	$0.788460\pi$
$20$	−2.30344	−	2.11413i	−0.515065	−	0.472733i
$21$	−0.536677	+	1.65172i	−0.117113	+	0.360435i
$22$	0.149251	+	0.0484945i	0.0318203	+	0.0103391i
$23$	2.73422	+	3.76333i	0.570124	+	0.784709i	0.992569	−	0.121680i	$-0.0388281\pi$
$23$	2.73422	+	3.76333i	0.570124	+	0.784709i	−0.422445	+	0.906389i	$0.638828\pi$
$24$	−4.57822			−0.934525
$25$	−3.27422	−	3.77882i	−0.654844	−	0.755764i
$26$	4.02105			0.788593
$27$	−3.04591	−	4.19234i	−0.586186	−	0.806816i
$28$	1.32981	+	0.432080i	0.251310	+	0.0816554i
$29$	−0.471231	+	1.45030i	−0.0875054	+	0.269314i	−0.985228	−	0.171247i	$-0.945220\pi$
$29$	−0.471231	+	1.45030i	−0.0875054	+	0.269314i	0.897723	+	0.440561i	$0.145220\pi$
$30$	−2.99286	−	0.343432i	−0.546419	−	0.0627018i
$31$	0.431053	+	1.32664i	0.0774194	+	0.238272i	0.982275	−	0.187447i	$-0.0600212\pi$
$31$	0.431053	+	1.32664i	0.0774194	+	0.238272i	−0.904855	+	0.425719i	$0.860021\pi$
$32$			5.85525i			1.03507i
$33$	−0.334145	+	0.108570i	−0.0581672	+	0.0188997i
$34$	−4.73831	−	3.44259i	−0.812614	−	0.590399i
$35$	2.03399	+	0.928918i	0.343807	+	0.157016i
$36$	0.0183376	−	0.0133231i	0.00305627	−	0.00222051i
$37$	−0.426777	+	0.587409i	−0.0701618	+	0.0965694i	−0.842656	−	0.538453i	$-0.819009\pi$
$37$	−0.426777	+	0.587409i	−0.0701618	+	0.0965694i	0.772494	+	0.635022i	$0.219009\pi$
$38$	1.36456	−	1.87816i	0.221361	−	0.304678i
$39$	−7.28310	+	5.29148i	−1.16623	+	0.847315i
$40$	−0.671992	+	5.85612i	−0.106251	+	0.925934i
$41$	−7.01466	−	5.09645i	−1.09551	−	0.795932i	−0.115186	−	0.993344i	$-0.536746\pi$
$41$	−7.01466	−	5.09645i	−1.09551	−	0.795932i	−0.980321	+	0.197412i	$0.936746\pi$
$42$	1.28129	−	0.416318i	0.197708	−	0.0642392i
$43$			11.5163i			1.75622i	0.478457	+	0.878111i	$0.341196\pi$
$43$			11.5163i			1.75622i	−0.478457	+	0.878111i	$0.658804\pi$
$44$	0.0874102	+	0.269021i	0.0131776	+	0.0405564i
$45$	0.0315633	−	0.0178242i	0.00470518	−	0.00265707i
$46$	1.11509	−	3.43189i	0.164411	−	0.506004i
$47$	6.36535	+	2.06823i	0.928482	+	0.301682i	0.733942	−	0.679212i	$-0.237678\pi$
$47$	6.36535	+	2.06823i	0.928482	+	0.301682i	0.194540	+	0.980894i	$0.437678\pi$
$48$	−0.767204	−	1.05597i	−0.110736	−	0.152415i
$49$	−1.00000			−0.142857
$50$	−0.878586	+	3.77784i	−0.124251	+	0.534267i
$51$	13.1125			1.83612
$52$	4.26018	+	5.86364i	0.590781	+	0.813140i
$53$	2.07863	+	0.675388i	0.285522	+	0.0927717i	0.448277	−	0.893895i	$-0.352038\pi$
$53$	2.07863	+	0.675388i	0.285522	+	0.0927717i	−0.162755	+	0.986667i	$0.552038\pi$
$54$	−1.24220	+	3.82311i	−0.169043	+	0.520260i
$55$	0.0898293	+	0.443350i	0.0121126	+	0.0597813i
$56$	−0.814607	−	2.50710i	−0.108856	−	0.335026i
$57$			5.19749i			0.688425i
$58$	1.12504	−	0.365549i	0.147726	−	0.0479989i
$59$	−8.82680	−	6.41305i	−1.14915	−	0.834908i	−0.160784	−	0.986990i	$-0.551402\pi$
$59$	−8.82680	−	6.41305i	−1.14915	−	0.834908i	−0.988368	+	0.152082i	$0.951402\pi$
$60$	−2.67004	−	4.72816i	−0.344701	−	0.610402i
$61$	−5.87322	+	4.26715i	−0.751989	+	0.546352i	−0.896443	−	0.443160i	$-0.853858\pi$
$61$	−5.87322	+	4.26715i	−0.751989	+	0.546352i	0.144454	+	0.989512i	$0.453858\pi$
$62$	0.636032	−	0.875422i	0.0807761	−	0.111179i
$63$	−0.00952845	+	0.0131148i	−0.00120047	+	0.00165231i
$64$	2.45860	−	1.78628i	0.307325	−	0.223284i
$65$	5.69946	+	10.0927i	0.706931	+	1.25184i
$66$	0.220495	+	0.160199i	0.0271410	+	0.0197191i
$67$	−4.78966	+	1.55625i	−0.585150	+	0.190127i	−0.586606	−	0.809872i	$-0.699536\pi$
$67$	−4.78966	+	1.55625i	−0.585150	+	0.190127i	0.00145666	+	0.999999i	$0.499536\pi$
$68$		−	10.5569i		−	1.28021i
$69$	2.49648	+	7.68337i	0.300541	+	0.924970i
$70$	−0.344454	−	1.70004i	−0.0411702	−	0.203194i
$71$	2.74689	−	8.45405i	0.325996	−	1.00331i	−0.644994	−	0.764188i	$-0.723140\pi$
$71$	2.74689	−	8.45405i	0.325996	−	1.00331i	0.970989	−	0.239123i	$-0.0768600\pi$
$72$	−0.0406421	−	0.0132054i	−0.00478971	−	0.00155627i
$73$	−8.78534	−	12.0920i	−1.02825	−	1.41526i	−0.906257	−	0.422728i	$-0.861072\pi$
$73$	−8.78534	−	12.0920i	−1.02825	−	1.41526i	−0.121990	−	0.992531i	$-0.538928\pi$
$74$	0.563241			0.0654754
$75$	−3.38010	−	7.99876i	−0.390300	−	0.923618i
$76$	4.18451			0.479997
$77$	−0.118910	−	0.163665i	−0.0135510	−	0.0186514i
$78$	6.64166	+	2.15801i	0.752020	+	0.244346i
$79$	2.02424	−	6.22997i	0.227745	−	0.700927i	−0.770256	−	0.637734i	$-0.779872\pi$
$79$	2.02424	−	6.22997i	0.227745	−	0.700927i	0.998001	−	0.0631924i	$-0.0201282\pi$
$80$	−1.46332	+	0.826356i	−0.163605	+	0.0923894i
$81$	−2.79610	−	8.60551i	−0.310678	−	0.956168i
$82$			6.72606i			0.742769i
$83$	3.39777	−	1.10400i	0.372954	−	0.121180i	−0.116542	−	0.993186i	$-0.537181\pi$
$83$	3.39777	−	1.10400i	0.372954	−	0.121180i	0.489496	+	0.872006i	$0.337181\pi$
$84$	1.96458	+	1.42735i	0.214354	+	0.155737i
$85$	1.92466	−	16.7725i	0.208758	−	1.81924i
$86$	7.22742	−	5.25102i	0.779352	−	0.566233i
$87$	−1.55669	+	2.14260i	−0.166894	+	0.229710i
$88$	0.313460	−	0.431441i	0.0334150	−	0.0459918i
$89$	−0.313082	+	0.227467i	−0.0331866	+	0.0241115i	−0.604255	−	0.796791i	$-0.706529\pi$
$89$	−0.313082	+	0.227467i	−0.0331866	+	0.0241115i	0.571068	+	0.820903i	$0.306529\pi$
$90$	−0.0255778	−	0.0116813i	−0.00269614	−	0.00123132i
$91$	−4.19358	−	3.04682i	−0.439607	−	0.319393i
$92$	6.18590	−	2.00992i	0.644925	−	0.209549i
$93$			2.42259i			0.251210i
$94$	−1.60439	−	4.93781i	−0.165480	−	0.509296i
$95$	6.64825	+	0.762889i	0.682096	+	0.0782708i
$96$	−3.14238	+	9.67125i	−0.320718	+	0.987068i
$97$	−9.75384	−	3.16922i	−0.990353	−	0.321785i	−0.231349	−	0.972871i	$-0.574314\pi$
$97$	−9.75384	−	3.16922i	−0.990353	−	0.321785i	−0.759004	+	0.651086i	$0.774314\pi$
$98$	0.455964	+	0.627580i	0.0460593	+	0.0633952i
$99$	−0.00327946			−0.000329598
$100$	−6.43982	+	2.72132i	−0.643982	+	0.272132i
$101$	6.29115			0.625993			0.312996	−	0.949754i	$-0.398667\pi$
$101$	6.29115			0.625993			0.312996	+	0.949754i	$0.398667\pi$
$102$	−5.97882	−	8.22914i	−0.591992	−	0.814807i
$103$	3.25499	+	1.05761i	0.320723	+	0.104209i	0.464954	−	0.885335i	$-0.346071\pi$
$103$	3.25499	+	1.05761i	0.320723	+	0.104209i	−0.144231	+	0.989544i	$0.546071\pi$
$104$	4.22256	−	12.9957i	0.414056	−	1.27433i
$105$	2.86106	+	2.62591i	0.279211	+	0.256263i
$106$	−0.523920	−	1.61246i	−0.0508876	−	0.156616i
$107$		−	9.43420i		−	0.912038i	−0.889970	−	0.456019i	$-0.849275\pi$
$107$		−	9.43420i		−	0.912038i	0.889970	−	0.456019i	$-0.150725\pi$
$108$	−6.89108	+	2.23905i	−0.663094	+	0.215452i
$109$	14.0724	+	10.2242i	1.34789	+	0.979299i	0.999114	+	0.0420934i	$0.0134027\pi$
$109$	14.0724	+	10.2242i	1.34789	+	0.979299i	0.348776	+	0.937206i	$0.386597\pi$
$110$	0.237279	−	0.258527i	0.0226236	−	0.0246496i
$111$	−1.02017	+	0.741195i	−0.0968299	+	0.0703511i
$112$	0.441753	−	0.608021i	0.0417418	−	0.0574526i
$113$	−2.39476	+	3.29611i	−0.225280	+	0.310072i	−0.906663	−	0.421856i	$-0.861379\pi$
$113$	−2.39476	+	3.29611i	−0.225280	+	0.310072i	0.681383	+	0.731927i	$0.261379\pi$
$114$	3.26184	−	2.36987i	0.305500	−	0.221959i
$115$	10.1944	−	2.06555i	0.950637	−	0.192613i
$116$	1.72501	+	1.25329i	0.160163	+	0.116365i
$117$	−0.0799167	+	0.0259665i	−0.00738831	+	0.00240061i
$118$			8.46364i			0.779142i
$119$	2.33312	+	7.18060i	0.213877	+	0.658245i
$120$	−4.25279	+	9.31205i	−0.388225	+	0.850070i
$121$	−3.38654	+	10.4227i	−0.307867	+	0.947518i
$122$	5.35595	+	1.74025i	0.484905	+	0.157555i
$123$	−8.85113	−	12.1825i	−0.798080	−	1.09846i
$124$	1.95043			0.175154
$125$	−10.7276	+	3.14951i	−0.959502	+	0.281701i
$126$	0.0125752			0.00112029
$127$	2.45532	+	3.37946i	0.217874	+	0.299878i	0.903938	−	0.427663i	$-0.140663\pi$
$127$	2.45532	+	3.37946i	0.217874	+	0.299878i	−0.686064	+	0.727541i	$0.740663\pi$
$128$	8.89529	+	2.89025i	0.786240	+	0.255465i
$129$	−6.18055	+	19.0218i	−0.544167	+	1.67477i
$130$	3.73523	−	8.17877i	0.327601	−	0.717325i
$131$	−3.99733	−	12.3025i	−0.349248	−	1.07488i	−0.959270	−	0.282491i	$-0.908839\pi$
$131$	−3.99733	−	12.3025i	−0.349248	−	1.07488i	0.610022	−	0.792385i	$-0.291161\pi$
$132$			0.491259i			0.0427586i
$133$	−2.84623	+	0.924795i	−0.246799	+	0.0801899i
$134$	3.16058	+	2.29630i	0.273033	+	0.198370i
$135$	−11.3566	+	2.30101i	−0.977419	+	0.198040i
$136$	−16.1019	+	11.6987i	−1.38073	+	1.00316i
$137$	−5.32072	+	7.32335i	−0.454580	+	0.625676i	−0.973374	−	0.229224i	$-0.926381\pi$
$137$	−5.32072	+	7.32335i	−0.454580	+	0.625676i	0.518794	+	0.854899i	$0.326381\pi$
$138$	3.68363	−	5.07008i	0.313571	−	0.431594i
$139$	13.0053	−	9.44888i	1.10309	−	0.801444i	0.121530	−	0.992588i	$-0.461220\pi$
$139$	13.0053	−	9.44888i	1.10309	−	0.801444i	0.981562	+	0.191144i	$0.0612198\pi$
$140$	2.11413	−	2.30344i	0.178676	−	0.194676i
$141$	9.40383	+	6.83228i	0.791945	+	0.575382i
$142$	−6.55808	+	2.13085i	−0.550342	+	0.178817i
$143$		−	1.04864i		−	0.0876916i
$144$	−0.00376485	−	0.0115870i	−0.000313737	−	0.000965584i
$145$	2.51216	+	2.30569i	0.208623	+	0.191477i
$146$	−3.58289	+	11.0270i	−0.296522	+	0.912602i
$147$	−1.65172	−	0.536677i	−0.136232	−	0.0442644i
$148$	0.596737	+	0.821338i	0.0490515	+	0.0675136i
$149$	7.96793			0.652758			0.326379	−	0.945239i	$-0.394171\pi$
$149$	7.96793			0.652758			0.326379	+	0.945239i	$0.394171\pi$
$150$	−3.47866	+	5.76843i	−0.284032	+	0.470990i
$151$	−1.27579			−0.103822			−0.0519110	−	0.998652i	$-0.516531\pi$
$151$	−1.27579			−0.103822			−0.0519110	+	0.998652i	$0.516531\pi$
$152$	−4.63711	−	6.38244i	−0.376119	−	0.517684i
$153$	0.116403	+	0.0378217i	0.00941063	+	0.00305770i
$154$	−0.0484945	+	0.149251i	−0.00390780	+	0.0120270i
$155$	3.09879	+	0.355588i	0.248901	+	0.0285615i
$156$	3.88976	+	11.9714i	0.311430	+	0.958483i
$157$		−	14.1036i		−	1.12559i	−0.826597	−	0.562794i	$-0.809726\pi$
$157$		−	14.1036i		−	1.12559i	0.826597	−	0.562794i	$-0.190274\pi$
$158$	−4.83279	+	1.57027i	−0.384476	+	0.124924i
$159$	3.07086	+	2.23111i	0.243535	+	0.176938i
$160$	11.9095	+	5.43905i	0.941530	+	0.429995i
$161$	−3.76333	+	2.73422i	−0.296592	+	0.215487i
$162$	−4.12573	+	5.67858i	−0.324148	+	0.446151i
$163$	0.749435	−	1.03151i	0.0587003	−	0.0807940i	−0.778658	−	0.627449i	$-0.784099\pi$
$163$	0.749435	−	1.03151i	0.0587003	−	0.0807940i	0.837358	+	0.546655i	$0.184099\pi$
$164$	−9.80818	+	7.12606i	−0.765891	+	0.556452i
$165$	−0.0895628	+	0.780501i	−0.00697245	+	0.0607619i
$166$	−2.24211	−	1.62899i	−0.174022	−	0.126434i
$167$	−3.90226	+	1.26792i	−0.301966	+	0.0981147i	−0.456081	−	0.889938i	$-0.650747\pi$
$167$	−3.90226	+	1.26792i	−0.301966	+	0.0981147i	0.154115	+	0.988053i	$0.450747\pi$
$168$		−	4.57822i		−	0.353217i
$169$	−4.28583	−	13.1904i	−0.329679	−	1.01465i
$170$	−11.4037	+	6.43980i	−0.874623	+	0.493910i
$171$	−0.0149916	+	0.0461395i	−0.00114644	+	0.00352838i
$172$	15.3145	+	4.97597i	1.16772	+	0.379414i
$173$	−7.27007	−	10.0064i	−0.552733	−	0.760772i	0.437647	−	0.899147i	$-0.355812\pi$
$173$	−7.27007	−	10.0064i	−0.552733	−	0.760772i	−0.990380	+	0.138375i	$0.955812\pi$
$174$	2.05444			0.155747
$175$	3.77882	−	3.27422i	0.285652	−	0.247508i
$176$	0.152041			0.0114605
$177$	−11.1377	−	15.3297i	−0.837160	−	1.15225i
$178$	0.285508	+	0.0927671i	0.0213997	+	0.00695318i
$179$	1.92847	−	5.93523i	0.144141	−	0.443620i	−0.852759	−	0.522305i	$-0.825072\pi$
$179$	1.92847	−	5.93523i	0.144141	−	0.443620i	0.996900	+	0.0786853i	$0.0250722\pi$
$180$	−0.0100648	−	0.0496746i	−0.000750187	−	0.00370252i
$181$	−1.33421	−	4.10626i	−0.0991707	−	0.305216i	0.889147	−	0.457621i	$-0.151298\pi$
$181$	−1.33421	−	4.10626i	−0.0991707	−	0.305216i	−0.988318	+	0.152405i	$0.951298\pi$
$182$			4.02105i			0.298060i
$183$	−11.9910	+	3.89612i	−0.886401	+	0.288009i
$184$	−9.92060	−	7.20774i	−0.731357	−	0.531362i
$185$	0.798341	+	1.41372i	0.0586952	+	0.103938i
$186$	1.52037	−	1.10461i	0.111479	−	0.0809940i
$187$	−0.897783	+	1.23569i	−0.0656524	+	0.0903628i
$188$	5.50068	−	7.57104i	0.401179	−	0.552175i
$189$	4.19234	−	3.04591i	0.304948	−	0.221558i
$190$	−2.55259	−	4.52016i	−0.185184	−	0.327927i
$191$	−0.259260	−	0.188364i	−0.0187594	−	0.0136295i	0.578366	−	0.815777i	$-0.303691\pi$
$191$	−0.259260	−	0.188364i	−0.0187594	−	0.0136295i	−0.597125	+	0.802148i	$0.703691\pi$
$192$	5.01958	−	1.63096i	0.362257	−	0.117704i
$193$			13.6383i			0.981708i	0.871242	+	0.490854i	$0.163315\pi$
$193$			13.6383i			0.981708i	−0.871242	+	0.490854i	$0.836685\pi$
$194$	2.45846	+	7.56637i	0.176507	+	0.543234i
$195$	3.99741	+	19.7291i	0.286260	+	1.41283i
$196$	−0.432080	+	1.32981i	−0.0308629	+	0.0949861i
$197$	−24.3861	−	7.92352i	−1.73744	−	0.564527i	−0.742946	−	0.669352i	$-0.766572\pi$
$197$	−24.3861	−	7.92352i	−1.73744	−	0.564527i	−0.994491	+	0.104825i	$0.966572\pi$
$198$	0.00149531	+	0.00205812i	0.000106267	+	0.000146264i
$199$	23.9030			1.69444			0.847220	−	0.531242i	$-0.178275\pi$
$199$	23.9030			1.69444			0.847220	+	0.531242i	$0.178275\pi$
$200$	11.2871	+	6.80668i	0.798116	+	0.481305i
$201$	−8.74639			−0.616923
$202$	−2.86854	−	3.94820i	−0.201829	−	0.277794i
$203$	−1.45030	−	0.471231i	−0.101791	−	0.0330739i
$204$	5.66565	−	17.4371i	0.396675	−	1.22084i
$205$	−16.8822	+	9.53356i	−1.17910	+	0.665853i
$206$	−0.820421	−	2.52500i	−0.0571615	−	0.175925i
$207$			0.0754082i			0.00524123i
$208$	3.70506	−	1.20385i	0.256900	−	0.0834718i
$209$	−0.489800	−	0.355861i	−0.0338802	−	0.0246154i
$210$	0.343432	−	2.99286i	0.0236991	−	0.206527i
$211$	2.36492	−	1.71821i	0.162808	−	0.118287i	−0.503398	−	0.864054i	$-0.667917\pi$
$211$	2.36492	−	1.71821i	0.162808	−	0.118287i	0.666206	+	0.745768i	$0.267917\pi$
$212$	1.79627	−	2.47235i	0.123368	−	0.169802i
$213$	9.07419	−	12.4896i	0.621754	−	0.855770i
$214$	−5.92072	+	4.30165i	−0.404732	+	0.294055i
$215$	23.4241	+	10.6977i	1.59751	+	0.729579i
$216$	11.0515	+	8.02940i	0.751961	+	0.546332i
$217$	−1.32664	+	0.431053i	−0.0900585	+	0.0292618i
$218$		−	13.4934i		−	0.913889i
$219$	−8.02145	−	24.6875i	−0.542040	−	1.66823i
$220$	0.628383	+	0.0721072i	0.0423656	+	0.00486146i
$221$	−12.0939	+	37.2210i	−0.813521	+	2.50376i
$222$	0.930318	+	0.302279i	0.0624389	+	0.0202876i
$223$	0.376766	+	0.518575i	0.0252302	+	0.0347263i	0.821446	−	0.570287i	$-0.193168\pi$
$223$	0.376766	+	0.518575i	0.0252302	+	0.0347263i	−0.796216	+	0.605013i	$0.793168\pi$
$224$	−5.85525			−0.391220
$225$	−0.00693442	−	0.0807567i	−0.000462295	−	0.00538378i
$226$	3.16050			0.210233
$227$	17.2594	+	23.7555i	1.14555	+	1.57671i	0.754449	+	0.656358i	$0.227904\pi$
$227$	17.2594	+	23.7555i	1.14555	+	1.57671i	0.391096	+	0.920350i	$0.372096\pi$
$228$	6.91166	+	2.24573i	0.457736	+	0.148727i
$229$	−1.77157	+	5.45233i	−0.117069	+	0.360300i	−0.992373	−	0.123272i	$-0.960661\pi$
$229$	−1.77157	+	5.45233i	−0.117069	+	0.360300i	0.875304	+	0.483573i	$0.160661\pi$
$230$	−5.94459	−	5.45602i	−0.391975	−	0.359759i
$231$	−0.108570	−	0.334145i	−0.00714341	−	0.0219851i
$232$		−	4.01992i		−	0.263921i
$233$	−8.66200	+	2.81445i	−0.567467	+	0.184381i	−0.578678	−	0.815556i	$-0.696431\pi$
$233$	−8.66200	+	2.81445i	−0.567467	+	0.184381i	0.0112115	+	0.999937i	$0.496431\pi$
$234$	0.0527352	+	0.0383144i	0.00344741	+	0.00250469i
$235$	10.1196	−	11.0258i	0.660133	−	0.719247i
$236$	−12.3420	+	8.96698i	−0.803395	+	0.583701i
$237$	6.68697	−	9.20382i	0.434365	−	0.597853i
$238$	3.44259	−	4.73831i	0.223150	−	0.307139i
$239$	−21.6795	+	15.7511i	−1.40233	+	1.01885i	−0.407950	+	0.913004i	$0.633756\pi$
$239$	−21.6795	+	15.7511i	−1.40233	+	1.01885i	−0.994382	+	0.105849i	$0.966244\pi$
$240$	−2.86049	+	0.579578i	−0.184644	+	0.0374116i
$241$	−14.6342	−	10.6323i	−0.942669	−	0.684889i	0.00639265	−	0.999980i	$-0.497965\pi$
$241$	−14.6342	−	10.6323i	−0.942669	−	0.684889i	−0.949062	+	0.315090i	$0.897965\pi$
$242$	8.08522	−	2.62705i	0.519738	−	0.168873i
$243$		−	0.168465i		−	0.0108071i
$244$	3.13677	+	9.65399i	0.200811	+	0.618033i
$245$	−0.928918	+	2.03399i	−0.0593464	+	0.129947i
$246$	−3.60972	+	11.1096i	−0.230148	+	0.708322i
$247$	−14.7536	−	4.79373i	−0.938747	−	0.305017i
$248$	−2.16139	−	2.97490i	−0.137248	−	0.188906i
$249$	6.20467			0.393205
$250$	6.86795	+	5.29634i	0.434367	+	0.334970i
$251$	20.0221			1.26379			0.631893	−	0.775056i	$-0.282278\pi$
$251$	20.0221			1.26379			0.631893	+	0.775056i	$0.282278\pi$
$252$	0.0133231	+	0.0183376i	0.000839274	+	0.00115516i
$253$	−0.894992	−	0.290801i	−0.0562677	−	0.0182825i
$254$	1.00134	−	3.08182i	0.0628299	−	0.193371i
$255$	12.1804	−	26.6707i	0.762769	−	1.67018i
$256$	−4.12026	−	12.6809i	−0.257516	−	0.792554i
$257$		−	18.5148i		−	1.15492i	−0.816418	−	0.577462i	$-0.804043\pi$
$257$		−	18.5148i		−	1.15492i	0.816418	−	0.577462i	$-0.195957\pi$
$258$	14.7558	−	4.79445i	0.918656	−	0.298489i
$259$	−0.587409	−	0.426777i	−0.0364998	−	0.0265187i
$260$	15.8839	−	3.21832i	0.985080	−	0.199592i
$261$	−0.0199992	+	0.0145303i	−0.00123792	+	0.000899402i
$262$	−5.89817	+	8.11814i	−0.364390	+	0.501540i
$263$	8.88752	−	12.2326i	0.548028	−	0.754296i	−0.441715	−	0.897155i	$-0.645630\pi$
$263$	8.88752	−	12.2326i	0.548028	−	0.754296i	0.989743	+	0.142860i	$0.0456298\pi$
$264$	0.749294	−	0.544394i	0.0461159	−	0.0335051i
$265$	3.30461	−	3.60053i	0.203001	−	0.221179i
$266$	1.87816	+	1.36456i	0.115157	+	0.0836667i
$267$	−0.639200	+	0.207689i	−0.0391184	+	0.0127103i
$268$			7.04174i			0.430142i
$269$	2.80594	+	8.63580i	0.171081	+	0.526534i	0.999433	−	0.0336747i	$-0.0107210\pi$
$269$	2.80594	+	8.63580i	0.171081	+	0.526534i	−0.828352	+	0.560208i	$0.810721\pi$
$270$	6.62226	+	6.07799i	0.403018	+	0.369895i
$271$	5.64891	−	17.3856i	0.343147	−	1.05610i	−0.619421	−	0.785059i	$-0.712633\pi$
$271$	5.64891	−	17.3856i	0.343147	−	1.05610i	0.962568	−	0.271039i	$-0.0873672\pi$
$272$	−5.39662	−	1.75347i	−0.327218	−	0.106320i
$273$	−5.29148	−	7.28310i	−0.320255	−	0.440793i
$274$	7.02205			0.424217
$275$	0.985213	+	0.229124i	0.0594106	+	0.0138167i
$276$	11.2961			0.679944
$277$	11.4642	+	15.7791i	0.688818	+	0.948077i	0.999997	−	0.00227435i	$-0.000723949\pi$
$277$	11.4642	+	15.7791i	0.688818	+	0.948077i	−0.311179	+	0.950351i	$0.600724\pi$
$278$	−11.8599	−	3.85350i	−0.711307	−	0.231118i
$279$	−0.00698770	+	0.0215059i	−0.000418343	+	0.00128753i
$280$	−5.85612	−	0.671992i	−0.349970	−	0.0401592i
$281$	−4.88180	−	15.0246i	−0.291224	−	0.896295i	−0.984464	−	0.175588i	$-0.943817\pi$
$281$	−4.88180	−	15.0246i	−0.291224	−	0.896295i	0.693240	−	0.720707i	$-0.256183\pi$
$282$		−	9.01693i		−	0.536950i
$283$	5.37287	−	1.74575i	0.319384	−	0.103774i	−0.144938	−	0.989441i	$-0.546298\pi$
$283$	5.37287	−	1.74575i	0.319384	−	0.103774i	0.464322	+	0.885667i	$0.346298\pi$
$284$	−10.0554	−	7.30565i	−0.596676	−	0.433511i
$285$	10.5716	+	4.82805i	0.626210	+	0.285989i
$286$	−0.658105	+	0.478141i	−0.0389146	+	0.0282731i
$287$	5.09645	−	7.01466i	0.300834	−	0.414063i
$288$	−0.0557915	+	0.0767904i	−0.00328755	+	0.00452492i
$289$	32.3643	−	23.5141i	1.90378	−	1.38318i
$290$	0.301552	−	2.62789i	0.0177077	−	0.154315i
$291$	−14.4098	−	10.4693i	−0.844718	−	0.613723i
$292$	−19.8760	+	6.45809i	−1.16315	+	0.377931i
$293$			18.7362i			1.09458i	0.836943	+	0.547290i	$0.184341\pi$
$293$			18.7362i			1.09458i	−0.836943	+	0.547290i	$0.815659\pi$
$294$	0.416318	+	1.28129i	0.0242801	+	0.0747266i
$295$	−21.2434	+	11.9964i	−1.23684	+	0.698459i
$296$	0.591467	−	1.82035i	0.0343783	−	0.105806i
$297$	0.997019	+	0.323951i	0.0578529	+	0.0187976i
$298$	−3.63309	−	5.00051i	−0.210459	−	0.289672i
$299$	−24.1125			−1.39446
$300$	−12.0973	+	1.03877i	−0.698436	+	0.0599734i
$301$	−11.5163			−0.663790
$302$	0.581712	+	0.800658i	0.0334738	+	0.0460727i
$303$	10.3912	+	3.37632i	0.596961	+	0.193964i
$304$	0.695035	−	2.13910i	0.0398630	−	0.122686i
$305$	3.22358	+	15.9099i	0.184582	+	0.910998i
$306$	−0.0293395	−	0.0902976i	−0.00167723	−	0.00516197i
$307$			17.0190i			0.971326i	0.874146	+	0.485663i	$0.161422\pi$
$307$			17.0190i			0.971326i	−0.874146	+	0.485663i	$0.838578\pi$
$308$	−0.269021	+	0.0874102i	−0.0153289	+	0.00498066i
$309$	4.80874	+	3.49376i	0.273560	+	0.198753i
$310$	−1.18978	−	2.10688i	−0.0675748	−	0.119663i
$311$	3.22276	−	2.34147i	0.182746	−	0.132773i	−0.492651	−	0.870227i	$-0.663972\pi$
$311$	3.22276	−	2.34147i	0.182746	−	0.132773i	0.675397	+	0.737454i	$0.263972\pi$
$312$	13.9490	−	19.1991i	0.789706	−	1.08694i
$313$	2.00923	−	2.76547i	0.113568	−	0.156314i	−0.748449	−	0.663193i	$-0.769201\pi$
$313$	2.00923	−	2.76547i	0.113568	−	0.156314i	0.862017	+	0.506879i	$0.169201\pi$
$314$	−8.85113	+	6.43072i	−0.499498	+	0.362906i
$315$	0.0178242	+	0.0315633i	0.00100428	+	0.00177839i
$316$	−7.41002	−	5.38369i	−0.416846	−	0.302856i
$317$	−21.1958	+	6.88692i	−1.19047	+	0.386808i	−0.836247	−	0.548352i	$-0.815255\pi$
$317$	−21.1958	+	6.88692i	−1.19047	+	0.386808i	−0.354225	+	0.935160i	$0.615255\pi$
$318$		−	2.94451i		−	0.165120i
$319$	−0.0953306	−	0.293397i	−0.00533749	−	0.0164271i
$320$	−1.34943	−	6.66006i	−0.0754353	−	0.372309i
$321$	5.06312	−	15.5827i	0.282596	−	0.869741i
$322$	3.43189	+	1.11509i	0.191251	+	0.0621414i
$323$	13.2812	+	18.2800i	0.738984	+	1.01712i
$324$	−12.6518			−0.702877
$325$	25.8228	−	2.21735i	1.43239	−	0.122996i
$326$	−0.989069			−0.0547795
$327$	17.7566	+	24.4399i	0.981942	+	1.35153i
$328$	21.7381	+	7.06313i	1.20028	+	0.389996i
$329$	−2.06823	+	6.36535i	−0.114025	+	0.350933i
$330$	0.530664	−	0.299672i	0.0292121	−	0.0164964i
$331$	−6.81701	−	20.9806i	−0.374697	−	1.15320i	−0.943683	−	0.330851i	$-0.892664\pi$
$331$	−6.81701	−	20.9806i	−0.374697	−	1.15320i	0.568986	−	0.822347i	$-0.307336\pi$
$332$		−	4.99539i		−	0.274158i
$333$	−0.0111942	+	0.00363721i	−0.000613438	+	0.000199318i
$334$	2.57501	+	1.87086i	0.140898	+	0.102369i
$335$	−1.28380	+	11.1877i	−0.0701413	+	0.611251i
$336$	1.05597	−	0.767204i	0.0576076	−	0.0418544i
$337$	0.749246	−	1.03125i	0.0408140	−	0.0561757i	−0.788122	−	0.615519i	$-0.788947\pi$
$337$	0.749246	−	1.03125i	0.0408140	−	0.0561757i	0.828936	+	0.559343i	$0.188947\pi$
$338$	−6.32387	+	8.70406i	−0.343973	+	0.473439i
$339$	−5.72443	+	4.15904i	−0.310908	+	0.225888i
$340$	−21.4726	−	9.80650i	−1.16452	−	0.531832i
$341$	−0.228299	−	0.165869i	−0.0123631	−	0.00898231i
$342$	0.0357919	−	0.0116295i	0.00193540	−	0.000628851i
$343$		−	1.00000i		−	0.0539949i
$344$	−9.38127	−	28.8726i	−0.505804	−	1.55671i
$345$	17.9469	+	2.05942i	0.966230	+	0.110875i
$346$	−2.96492	+	9.12510i	−0.159395	+	0.490568i
$347$	−6.11907	−	1.98821i	−0.328489	−	0.106733i	0.140130	−	0.990133i	$-0.455248\pi$
$347$	−6.11907	−	1.98821i	−0.328489	−	0.106733i	−0.468619	+	0.883401i	$0.655248\pi$
$348$	2.17662	+	2.99586i	0.116679	+	0.160595i
$349$	3.31533			0.177465			0.0887327	−	0.996055i	$-0.471718\pi$
$349$	3.31533			0.177465			0.0887327	+	0.996055i	$0.471718\pi$
$350$	−3.77784	−	0.878586i	−0.201934	−	0.0469624i
$351$	26.8613			1.43375
$352$	−0.696246	−	0.958300i	−0.0371100	−	0.0510776i
$353$	−7.76606	−	2.52335i	−0.413346	−	0.134304i	0.0949594	−	0.995481i	$-0.469728\pi$
$353$	−7.76606	−	2.52335i	−0.413346	−	0.134304i	−0.508305	+	0.861177i	$0.669728\pi$
$354$	−4.54225	+	13.9796i	−0.241418	+	0.743007i
$355$	−14.6438	−	13.4403i	−0.777213	−	0.713335i
$356$	0.167211	+	0.514621i	0.00886215	+	0.0272749i
$357$			13.1125i			0.693987i
$358$	−4.60415	+	1.49598i	−0.243337	+	0.0790649i
$359$	10.3151	+	7.49434i	0.544409	+	0.395536i	0.825720	−	0.564080i	$-0.190769\pi$
$359$	10.3151	+	7.49434i	0.544409	+	0.395536i	−0.281311	+	0.959617i	$0.590769\pi$
$360$	−0.0646128	+	0.0703988i	−0.00340539	+	0.00371034i
$361$	8.12556	−	5.90357i	0.427661	−	0.310714i
$362$	−1.96866	+	2.70963i	−0.103470	+	0.142415i
$363$	−11.1873	+	15.3979i	−0.587178	+	0.808182i
$364$	−5.86364	+	4.26018i	−0.307338	+	0.223294i
$365$	−32.7558	+	6.63682i	−1.71452	+	0.347387i
$366$	7.91259	+	5.74884i	0.413598	+	0.300496i
$367$	−28.0766	+	9.12264i	−1.46559	+	0.476198i	−0.929771	−	0.368137i	$-0.879996\pi$
$367$	−28.0766	+	9.12264i	−1.46559	+	0.476198i	−0.535815	+	0.844335i	$0.679996\pi$
$368$		−	3.49604i		−	0.182244i
$369$	−0.0434345	−	0.133678i	−0.00226111	−	0.00695899i
$370$	0.523205	−	1.14563i	0.0272001	−	0.0595583i
$371$	−0.675388	+	2.07863i	−0.0350644	+	0.107917i
$372$	3.22157	+	1.04675i	0.167031	+	0.0542715i
$373$	14.1950	+	19.5377i	0.734987	+	1.01162i	0.998891	+	0.0470742i	$0.0149897\pi$
$373$	14.1950	+	19.5377i	0.734987	+	1.01162i	−0.263904	+	0.964549i	$0.585010\pi$
$374$	1.18485			0.0612673
$375$	−19.4092	−	0.555113i	−1.00229	−	0.0286659i
$376$	−17.6434			−0.909888
$377$	−4.64620	−	6.39495i	−0.239292	−	0.329357i
$378$	−3.82311	−	1.24220i	−0.196640	−	0.0638921i
$379$	−11.0780	+	34.0946i	−0.569039	+	1.75132i	0.0865938	+	0.996244i	$0.472402\pi$
$379$	−11.0780	+	34.0946i	−0.569039	+	1.75132i	−0.655633	+	0.755079i	$0.727598\pi$
$380$	3.88707	−	8.51125i	0.199403	−	0.436618i
$381$	2.24183	+	6.89964i	0.114852	+	0.353479i
$382$			0.248594i			0.0127192i
$383$	−12.9356	+	4.20304i	−0.660980	+	0.214765i	−0.620249	−	0.784405i	$-0.712969\pi$
$383$	−12.9356	+	4.20304i	−0.660980	+	0.214765i	−0.0407306	+	0.999170i	$0.512969\pi$
$384$	13.1414	+	9.54780i	0.670620	+	0.487234i
$385$	−0.443350	+	0.0898293i	−0.0225952	+	0.00457813i
$386$	8.55914	−	6.21858i	0.435649	−	0.316518i
$387$	−0.109733	+	0.151034i	−0.00557803	+	0.00767750i
$388$	−8.42888	+	11.6014i	−0.427912	+	0.588970i
$389$	−2.77481	+	2.01602i	−0.140689	+	0.102216i	−0.655903	−	0.754845i	$-0.727712\pi$
$389$	−2.77481	+	2.01602i	−0.140689	+	0.102216i	0.515215	+	0.857061i	$0.327712\pi$
$390$	10.5589	−	11.5044i	0.534672	−	0.582550i
$391$	28.4136	+	20.6437i	1.43694	+	1.04400i
$392$	2.50710	−	0.814607i	0.126628	−	0.0411439i
$393$		−	22.4656i		−	1.13324i
$394$	6.14652	+	18.9171i	0.309657	+	0.953028i
$395$	−10.7913	−	9.90442i	−0.542971	−	0.498345i
$396$	−0.00141699	+	0.00436104i	−7.12063e−5	+	0.000219150i
$397$	33.0652	+	10.7435i	1.65950	+	0.539203i	0.980766	−	0.195185i	$-0.0625306\pi$
$397$	33.0652	+	10.7435i	1.65950	+	0.539203i	0.678730	+	0.734388i	$0.262531\pi$
$398$	−10.8989	−	15.0011i	−0.546313	−	0.751935i
$399$	−5.19749			−0.260200
$400$	0.321490	+	3.74400i	0.0160745	+	0.187200i
$401$	28.8566			1.44103			0.720515	−	0.693439i	$-0.243905\pi$
$401$	28.8566			1.44103			0.720515	+	0.693439i	$0.243905\pi$
$402$	3.98804	+	5.48906i	0.198905	+	0.273769i
$403$	−6.87674	−	2.23439i	−0.342555	−	0.111303i
$404$	2.71828	−	8.36600i	0.135239	−	0.416224i
$405$	−20.1009	−	2.30658i	−0.998820	−	0.114615i
$406$	0.365549	+	1.12504i	0.0181419	+	0.0558350i
$407$		−	0.146886i		−	0.00728088i
$408$	−32.8744	+	10.6815i	−1.62752	+	0.528814i
$409$	14.0953	+	10.2408i	0.696966	+	0.506375i	0.878943	−	0.476928i	$-0.158250\pi$
$409$	14.0953	+	10.2408i	0.696966	+	0.506375i	−0.181977	+	0.983303i	$0.558250\pi$
$410$	13.6807	+	6.24796i	0.675643	+	0.308565i
$411$	−12.7186	+	9.24063i	−0.627364	+	0.455807i
$412$	2.81283	−	3.87153i	0.138578	−	0.190736i
$413$	6.41305	−	8.82680i	0.315565	−	0.434339i
$414$	0.0473247	−	0.0343834i	0.00232588	−	0.00168985i
$415$	0.910723	−	7.93656i	0.0447057	−	0.389591i
$416$	−24.5545	−	17.8399i	−1.20388	−	0.874672i
$417$	26.5521	−	8.62730i	1.30026	−	0.422481i
$418$			0.469648i			0.0229713i
$419$	−0.599401	−	1.84477i	−0.0292826	−	0.0901227i	0.935347	−	0.353731i	$-0.115087\pi$
$419$	−0.599401	−	1.84477i	−0.0292826	−	0.0901227i	−0.964630	+	0.263609i	$0.915087\pi$
$420$	4.72816	−	2.67004i	0.230710	−	0.130285i
$421$	−10.0967	+	31.0743i	−0.492081	+	1.51447i	0.329375	+	0.944199i	$0.393162\pi$
$421$	−10.0967	+	31.0743i	−0.492081	+	1.51447i	−0.821456	+	0.570272i	$0.806838\pi$
$422$	−2.15663	−	0.700732i	−0.104983	−	0.0341111i
$423$	0.0637733	+	0.0877764i	0.00310076	+	0.00426783i
$424$	−5.76151			−0.279804
$425$	−32.3273	−	19.4951i	−1.56811	−	0.945649i
$426$	−11.9757			−0.580225
$427$	−4.26715	−	5.87322i	−0.206502	−	0.284225i
$428$	−12.5456	−	4.07633i	−0.606417	−	0.197037i
$429$	0.562781	−	1.73206i	0.0271713	−	0.0836247i
$430$	−3.96685	−	19.5783i	−0.191298	−	0.944147i
$431$	3.39668	+	10.4539i	0.163612	+	0.503547i	0.998931	−	0.0462185i	$-0.0147171\pi$
$431$	3.39668	+	10.4539i	0.163612	+	0.503547i	−0.835319	+	0.549766i	$0.814717\pi$
$432$			3.89458i			0.187378i
$433$	4.56367	−	1.48283i	0.219316	−	0.0712601i	−0.197298	−	0.980344i	$-0.563217\pi$
$433$	4.56367	−	1.48283i	0.219316	−	0.0712601i	0.416614	+	0.909083i	$0.363217\pi$
$434$	0.875422	+	0.636032i	0.0420216	+	0.0305305i
$435$	2.91198	+	5.15658i	0.139619	+	0.247239i
$436$	19.6766	−	14.2959i	0.942337	−	0.684648i
$437$	−8.18270	+	11.2625i	−0.391432	+	0.538759i
$438$	−11.8359	+	16.2907i	−0.565541	+	0.778400i
$439$	13.2019	−	9.59173i	0.630092	−	0.457788i	−0.226340	−	0.974048i	$-0.572676\pi$
$439$	13.2019	−	9.59173i	0.630092	−	0.457788i	0.856432	+	0.516260i	$0.172676\pi$
$440$	−0.586367	−	1.03835i	−0.0279540	−	0.0495013i
$441$	−0.0131148	−	0.00952845i	−0.000624514	−	0.000453736i
$442$	28.8736	−	9.38159i	1.37337	−	0.446237i
$443$			38.0199i			1.80638i	0.429242	+	0.903189i	$0.358781\pi$
$443$			38.0199i			1.80638i	−0.429242	+	0.903189i	$0.641219\pi$
$444$	0.544851	+	1.67688i	0.0258575	+	0.0795811i
$445$	0.171838	+	0.848103i	0.00814591	+	0.0402039i
$446$	0.153655	−	0.472902i	0.00727579	−	0.0223926i
$447$	13.1608	+	4.27621i	0.622485	+	0.202258i
$448$	1.78628	+	2.45860i	0.0843936	+	0.116158i
$449$	8.03474			0.379183			0.189591	−	0.981863i	$-0.439284\pi$
$449$	8.03474			0.379183			0.189591	+	0.981863i	$0.439284\pi$
$450$	−0.0475195	+	0.0411740i	−0.00224009	+	0.00194096i
$451$	1.75407			0.0825960
$452$	3.34845	+	4.60875i	0.157498	+	0.216777i
$453$	−2.10724	−	0.684685i	−0.0990070	−	0.0321693i
$454$	7.03883	−	21.6633i	0.330349	−	1.01671i
$455$	−10.0927	+	5.69946i	−0.473153	+	0.267195i
$456$	−4.23391	−	13.0306i	−0.198271	−	0.610216i
$457$		−	26.7906i		−	1.25321i	−0.779336	−	0.626606i	$-0.784443\pi$
$457$		−	26.7906i		−	1.25321i	0.779336	−	0.626606i	$-0.215557\pi$
$458$	4.22955	−	1.37426i	0.197634	−	0.0642151i
$459$	−31.6527	−	22.9971i	−1.47742	−	1.07341i
$460$	1.65804	−	14.4491i	0.0773065	−	0.673693i
$461$	14.7085	−	10.6864i	0.685045	−	0.497714i	−0.189982	−	0.981787i	$-0.560843\pi$
$461$	14.7085	−	10.6864i	0.685045	−	0.497714i	0.875028	+	0.484073i	$0.160843\pi$
$462$	−0.160199	+	0.220495i	−0.00745312	+	0.0102583i
$463$	2.53996	−	3.49596i	0.118042	−	0.162471i	−0.745907	−	0.666050i	$-0.767984\pi$
$463$	2.53996	−	3.49596i	0.118042	−	0.162471i	0.863949	+	0.503579i	$0.167984\pi$
$464$	0.927194	−	0.673646i	0.0430439	−	0.0312732i
$465$	4.92751	+	2.25038i	0.228508	+	0.104359i
$466$	5.71585	+	4.15281i	0.264782	+	0.192375i
$467$	24.2436	−	7.87724i	1.12186	−	0.364515i	0.311384	−	0.950284i	$-0.399207\pi$
$467$	24.2436	−	7.87724i	1.12186	−	0.364515i	0.810478	+	0.585769i	$0.199207\pi$
$468$			0.117493i			0.00543113i
$469$	−1.55625	−	4.78966i	−0.0718611	−	0.221166i
$470$	−11.5338	−	1.32351i	−0.532014	−	0.0610488i
$471$	7.56907	−	23.2952i	0.348764	−	1.07339i
$472$	27.3538	+	8.88779i	1.25906	+	0.409094i
$473$	−1.36940	−	1.88482i	−0.0629651	−	0.0866641i
$474$	−8.82515			−0.405353
$475$	7.72739	−	12.8138i	0.354557	−	0.587938i
$476$	10.5569			0.483875
$477$	0.0208254	+	0.0286637i	0.000953529	+	0.00131242i
$478$	19.7702	+	6.42371i	0.904266	+	0.293814i
$479$	−4.36575	+	13.4364i	−0.199476	+	0.613925i	0.800419	+	0.599441i	$0.204610\pi$
$479$	−4.36575	+	13.4364i	−0.199476	+	0.613925i	−0.999895	+	0.0144838i	$0.995390\pi$
$480$	16.7522	+	15.3754i	0.764630	+	0.701786i
$481$	−1.16303	−	3.57945i	−0.0530298	−	0.163209i
$482$			14.0321i			0.639143i
$483$	−7.68337	+	2.49648i	−0.349606	+	0.113594i
$484$	12.3969	+	9.00688i	0.563496	+	0.409404i
$485$	−15.5067	+	16.8953i	−0.704122	+	0.767175i
$486$	−0.105726	+	0.0768141i	−0.00479581	+	0.00348436i
$487$	−11.5925	+	15.9557i	−0.525307	+	0.723023i	−0.986406	−	0.164325i	$-0.947455\pi$
$487$	−11.5925	+	15.9557i	−0.525307	+	0.723023i	0.461099	+	0.887349i	$0.347455\pi$
$488$	11.2487	−	15.4825i	0.509206	−	0.700861i
$489$	1.79145	−	1.30156i	0.0810120	−	0.0588586i
$490$	1.70004	−	0.344454i	0.0768002	−	0.0155609i
$491$	23.4893	+	17.0660i	1.06006	+	0.770176i	0.974099	−	0.226123i	$-0.0726051\pi$
$491$	23.4893	+	17.0660i	1.06006	+	0.770176i	0.0859574	+	0.996299i	$0.472605\pi$
$492$	−20.0248	+	6.50645i	−0.902788	+	0.293333i
$493$			11.5135i			0.518541i
$494$	3.71865	+	11.4448i	0.167310	+	0.514927i
$495$	−0.00304635	+	0.00667038i	−0.000136923	+	0.000299811i
$496$	0.323960	−	0.997047i	0.0145462	−	0.0447688i
$497$	8.45405	+	2.74689i	0.379216	+	0.123215i
$498$	−2.82911	−	3.89393i	−0.126775	−	0.174491i
$499$	−13.0813			−0.585600			−0.292800	−	0.956174i	$-0.594587\pi$
$499$	−13.0813			−0.585600			−0.292800	+	0.956174i	$0.594587\pi$
$500$	−0.446922	+	15.6264i	−0.0199870	+	0.698834i
$501$	−7.12592			−0.318363
$502$	−9.12936	−	12.5655i	−0.407463	−	0.560825i
$503$	−30.8954	−	10.0385i	−1.37756	−	0.447595i	−0.475691	−	0.879613i	$-0.657802\pi$
$503$	−30.8954	−	10.0385i	−1.37756	−	0.447595i	−0.901865	+	0.432018i	$0.857802\pi$
$504$	0.0132054	−	0.0406421i	0.000588216	−	0.00181034i
$505$	5.84396	−	12.7961i	0.260053	−	0.569420i
$506$	0.225583	+	0.694274i	0.0100284	+	0.0308642i
$507$		−	24.0871i		−	1.06974i
$508$	5.55492	−	1.80490i	0.246460	−	0.0800796i
$509$	−16.9363	−	12.3049i	−0.750688	−	0.545407i	0.145352	−	0.989380i	$-0.453569\pi$
$509$	−16.9363	−	12.3049i	−0.750688	−	0.545407i	−0.896040	+	0.443973i	$0.853569\pi$
$510$	−22.2918	+	4.51666i	−0.987099	+	0.200001i
$511$	12.0920	−	8.78534i	0.534918	−	0.388641i
$512$	4.91561	−	6.76576i	0.217241	−	0.299007i
$513$	9.11551	−	12.5464i	0.402459	−	0.553938i
$514$	−11.6195	+	8.44209i	−0.512516	+	0.372365i
$515$	5.17478	−	5.63817i	0.228028	−	0.248448i
$516$	22.6248	+	16.4379i	0.996000	+	0.723636i
$517$	−1.28772	+	0.418405i	−0.0566338	+	0.0184014i
$518$			0.563241i			0.0247474i
$519$	−6.63793	−	20.4295i	−0.291373	−	0.896754i
$520$	−22.5107	−	20.6606i	−0.987159	−	0.906027i
$521$	6.44451	−	19.8342i	0.282339	−	0.868950i	−0.704845	−	0.709362i	$-0.748983\pi$
$521$	6.44451	−	19.8342i	0.282339	−	0.868950i	0.987184	−	0.159588i	$-0.0510167\pi$
$522$	0.0182378	+	0.00592583i	0.000798248	+	0.000259367i
$523$	20.7392	+	28.5450i	0.906861	+	1.24819i	0.968227	+	0.250072i	$0.0804544\pi$
$523$	20.7392	+	28.5450i	0.906861	+	1.24819i	−0.0613657	+	0.998115i	$0.519546\pi$
$524$	−18.0871			−0.790139
$525$	7.99876	−	3.38010i	0.349095	−	0.147520i
$526$	−11.7293			−0.511423
$527$	6.19044	+	8.52041i	0.269660	+	0.371155i
$528$	0.251129	+	0.0815967i	0.0109290	+	0.00355104i
$529$	0.420688	−	1.29475i	0.0182908	−	0.0562933i
$530$	−3.76640	−	0.432196i	−0.163602	−	0.0187734i
$531$	−0.0546553	−	0.168212i	−0.00237184	−	0.00729976i
$532$			4.18451i			0.181422i
$533$	42.7448	−	13.8886i	1.85148	−	0.601583i
$534$	0.421793	+	0.306451i	0.0182528	+	0.0132614i
$535$	−19.1891	−	8.76360i	−0.829615	−	0.378884i
$536$	10.7404	−	7.80337i	0.463915	−	0.337054i
$537$	6.37060	−	8.76839i	0.274912	−	0.378384i
$538$	4.14025	−	5.69856i	0.178499	−	0.245682i
$539$	0.163665	−	0.118910i	0.00704955	−	0.00512180i
$540$	−1.84705	+	16.0963i	−0.0794845	+	0.692673i
$541$	−11.4878	−	8.34636i	−0.493898	−	0.358838i	0.312783	−	0.949825i	$-0.398739\pi$
$541$	−11.4878	−	8.34636i	−0.493898	−	0.358838i	−0.806682	+	0.590986i	$0.798739\pi$
$542$	−13.4865	+	4.38204i	−0.579296	+	0.188225i
$543$		−	7.49845i		−	0.321789i
$544$	13.6610	+	42.0442i	0.585711	+	1.80263i
$545$	33.8680	−	19.1256i	1.45074	−	0.819252i
$546$	−2.15801	+	6.64166i	−0.0923541	+	0.284237i
$547$	−27.8615	−	9.05275i	−1.19127	−	0.387068i	−0.354729	−	0.934969i	$-0.615427\pi$
$547$	−27.8615	−	9.05275i	−1.19127	−	0.387068i	−0.836543	+	0.547902i	$0.815427\pi$
$548$	7.43965	+	10.2398i	0.317806	+	0.437423i
$549$	−0.117685			−0.00502269
$550$	−0.305428	−	0.722773i	−0.0130235	−	0.0308191i
$551$	−4.56368			−0.194419
$552$	−12.5179	−	17.2294i	−0.532795	−	0.733330i
$553$	6.22997	+	2.02424i	0.264925	+	0.0860795i
$554$	4.67541	−	14.3894i	0.198639	−	0.611349i
$555$	0.559930	+	2.76352i	0.0237677	+	0.117305i
$556$	−6.94586	−	21.3771i	−0.294570	−	0.906593i
$557$		−	7.42204i		−	0.314482i	−0.987560	−	0.157241i	$-0.949740\pi$
$557$		−	7.42204i		−	0.314482i	0.987560	−	0.157241i	$-0.0502599\pi$
$558$	0.0166828	−	0.00542058i	0.000706241	−	0.000229472i
$559$	−48.2947	−	35.0881i	−2.04265	−	1.48407i
$560$	−0.826356	−	1.46332i	−0.0349199	−	0.0618367i
$561$	−2.14606	+	1.55920i	−0.0906066	+	0.0658295i
$562$	−7.20325	+	9.91442i	−0.303851	+	0.418214i
$563$	2.53113	−	3.48380i	0.106674	−	0.146825i	−0.752342	−	0.658773i	$-0.771076\pi$
$563$	2.53113	−	3.48380i	0.106674	−	0.146825i	0.859016	+	0.511948i	$0.171076\pi$
$564$	13.1488	−	9.55317i	0.553665	−	0.402261i
$565$	4.47971	+	7.93273i	0.188463	+	0.333732i
$566$	−3.54543	−	2.57591i	−0.149026	−	0.108273i
$567$	8.60551	−	2.79610i	0.361397	−	0.117425i
$568$			23.4328i			0.983218i
$569$	−0.0932096	−	0.286870i	−0.00390755	−	0.0120262i	0.949084	−	0.315024i	$-0.102013\pi$
$569$	−0.0932096	−	0.286870i	−0.00390755	−	0.0120262i	−0.952991	+	0.302998i	$0.902013\pi$
$570$	−1.79030	−	8.83597i	−0.0749874	−	0.370098i
$571$	−2.05950	+	6.33848i	−0.0861872	+	0.265257i	−0.984857	−	0.173369i	$-0.944535\pi$
$571$	−2.05950	+	6.33848i	−0.0861872	+	0.265257i	0.898670	+	0.438626i	$0.144535\pi$
$572$	−1.39449	−	0.453096i	−0.0583064	−	0.0189449i
$573$	−0.327136	−	0.450264i	−0.0136663	−	0.0188100i
$574$	−6.72606			−0.280740
$575$	5.26851	−	22.6541i	0.219712	−	0.944741i
$576$	0.0492644			0.00205268
$577$	−8.74552	−	12.0372i	−0.364081	−	0.501114i	0.587199	−	0.809442i	$-0.300231\pi$
$577$	−8.74552	−	12.0372i	−0.364081	−	0.501114i	−0.951280	+	0.308328i	$0.900231\pi$
$578$	−29.5139	−	9.58965i	−1.22762	−	0.398877i
$579$	−7.31938	+	22.5267i	−0.304183	+	0.936179i
$580$	4.15157	−	2.34444i	0.172385	−	0.0973476i
$581$	1.10400	+	3.39777i	0.0458018	+	0.140963i
$582$			13.8169i			0.572731i
$583$	−0.420509	+	0.136632i	−0.0174157	+	0.00565871i
$584$	31.8760	+	23.1592i	1.31904	+	0.958336i
$585$	−0.0214205	+	0.186671i	−0.000885629	+	0.00771788i
$586$	11.7585	−	8.54303i	0.485738	−	0.352909i
$587$	8.99245	−	12.3770i	0.371158	−	0.510855i	−0.582057	−	0.813148i	$-0.697752\pi$
$587$	8.99245	−	12.3770i	0.371158	−	0.510855i	0.953215	+	0.302293i	$0.0977520\pi$
$588$	−1.42735	+	1.96458i	−0.0588630	+	0.0810180i
$589$	−3.37730	+	2.45375i	−0.139159	+	0.101105i
$590$	17.2150	+	7.86204i	0.708729	+	0.323675i
$591$	−36.0267	−	26.1749i	−1.48194	−	1.07669i
$592$	0.518979	−	0.168627i	0.0213299	−	0.00693051i
$593$		−	8.99342i		−	0.369315i	−0.982803	−	0.184658i	$-0.940882\pi$
$593$		−	8.99342i		−	0.369315i	0.982803	−	0.184658i	$-0.0591177\pi$
$594$	−0.251299	−	0.773419i	−0.0103109	−	0.0317338i
$595$	16.7725	+	1.92466i	0.687607	+	0.0789032i
$596$	3.44278	−	10.5958i	0.141022	−	0.434021i
$597$	39.4812	+	12.8282i	1.61586	+	0.525023i
$598$	10.9944	+	15.1325i	0.449596	+	0.618816i
$599$	−11.1672			−0.456281			−0.228140	−	0.973628i	$-0.573264\pi$
$599$	−11.1672			−0.456281			−0.228140	+	0.973628i	$0.573264\pi$
$600$	14.9901	+	17.3003i	0.611968	+	0.706280i
$601$	−33.5806			−1.36978			−0.684890	−	0.728646i	$-0.740150\pi$
$601$	−33.5806			−1.36978			−0.684890	+	0.728646i	$0.740150\pi$
$602$	5.25102	+	7.22742i	0.214016	+	0.294567i
$603$	−0.0776440	−	0.0252281i	−0.00316191	−	0.00102737i
$604$	−0.551242	+	1.69655i	−0.0224297	+	0.0690315i
$605$	18.0538	+	16.5700i	0.733993	+	0.673667i
$606$	−2.61912	−	8.06081i	−0.106394	−	0.327448i
$607$			41.9247i			1.70167i	0.525432	+	0.850836i	$0.323904\pi$
$607$			41.9247i			1.70167i	−0.525432	+	0.850836i	$0.676096\pi$
$608$	−16.6654	+	5.41491i	−0.675870	+	0.219604i
$609$	−2.14260	−	1.55669i	−0.0868223	−	0.0630801i
$610$	8.51490	−	9.27739i	0.344758	−	0.375631i
$611$	−28.0674	+	20.3921i	−1.13548	+	0.824977i
$612$	0.100591	−	0.138452i	0.00406615	−	0.00559657i
$613$	27.1464	−	37.3638i	1.09643	−	1.50911i	0.256403	−	0.966570i	$-0.417463\pi$
$613$	27.1464	−	37.3638i	1.09643	−	1.50911i	0.840030	−	0.542540i	$-0.182537\pi$
$614$	10.6808	−	7.76005i	0.431042	−	0.313170i
$615$	−33.0011	+	6.68652i	−1.33073	+	0.269626i
$616$	0.431441	+	0.313460i	0.0173833	+	0.0126297i
$617$	32.6466	−	10.6075i	1.31430	−	0.427043i	0.433768	−	0.901024i	$-0.357184\pi$
$617$	32.6466	−	10.6075i	1.31430	−	0.427043i	0.880535	+	0.473981i	$0.157184\pi$
$618$		−	4.61090i		−	0.185477i
$619$	−6.59509	−	20.2976i	−0.265079	−	0.815830i	−0.991675	−	0.128765i	$-0.958899\pi$
$619$	−6.59509	−	20.2976i	−0.265079	−	0.815830i	0.726596	−	0.687065i	$-0.241101\pi$
$620$	1.81179	−	3.96715i	0.0727632	−	0.159325i
$621$	7.44897	−	22.9256i	0.298917	−	0.919971i
$622$	−2.93893	−	0.954915i	−0.117840	−	0.0382886i
$623$	−0.227467	−	0.313082i	−0.00911327	−	0.0125433i
$624$	6.76581			0.270849
$625$	−3.55895	+	24.7454i	−0.142358	+	0.989815i
$626$	−2.65169			−0.105983
$627$	−0.618032	−	0.850648i	−0.0246818	−	0.0339716i
$628$	−18.7550	−	6.09387i	−0.748406	−	0.243172i
$629$	−1.69402	+	5.21367i	−0.0675452	+	0.207883i
$630$	0.0116813	−	0.0255778i	0.000465396	−	0.00101905i
$631$	6.54870	+	20.1548i	0.260700	+	0.802351i	0.992653	+	0.120996i	$0.0386090\pi$
$631$	6.54870	+	20.1548i	0.260700	+	0.802351i	−0.731953	+	0.681355i	$0.761391\pi$
$632$			17.2681i			0.686890i
$633$	4.82831	−	1.56881i	0.191908	−	0.0623547i
$634$	13.9866	+	10.1619i	0.555478	+	0.403579i
$635$	9.15457	−	1.85485i	0.363288	−	0.0736076i
$636$	4.29379	−	3.11962i	0.170260	−	0.123701i
$637$	3.04682	−	4.19358i	0.120719	−	0.166156i
$638$	−0.140663	+	0.193606i	−0.00556890	+	0.00766494i
$639$	0.116579	−	0.0846995i	0.00461179	−	0.00335066i
$640$	14.1417	−	15.4081i	0.559001	−	0.609059i
$641$	10.2370	+	7.43762i	0.404337	+	0.293768i	0.771305	−	0.636465i	$-0.219604\pi$
$641$	10.2370	+	7.43762i	0.404337	+	0.293768i	−0.366968	+	0.930234i	$0.619604\pi$
$642$	−12.0880	+	3.92762i	−0.477075	+	0.155011i
$643$			6.84302i			0.269862i	0.990855	+	0.134931i	$0.0430813\pi$
$643$			6.84302i			0.269862i	−0.990855	+	0.134931i	$0.956919\pi$
$644$	2.00992	+	6.18590i	0.0792020	+	0.243759i
$645$	32.9488	+	30.2408i	1.29736	+	1.19073i
$646$	5.41641	−	16.6700i	0.213106	−	0.655872i
$647$	1.40753	+	0.457334i	0.0553356	+	0.0179796i	0.336554	−	0.941664i	$-0.390739\pi$
$647$	1.40753	+	0.457334i	0.0553356	+	0.0179796i	−0.281218	+	0.959644i	$0.590739\pi$
$648$	14.0202	+	19.2972i	0.550766	+	0.758064i
$649$	2.20721			0.0866406
$650$	−13.1658	−	15.1948i	−0.516405	−	0.595990i
$651$	−2.42259			−0.0949486
$652$	−1.04789	−	1.44230i	−0.0410385	−	0.0564847i
$653$	−3.65849	−	1.18871i	−0.143168	−	0.0465180i	0.236557	−	0.971618i	$-0.423981\pi$
$653$	−3.65849	−	1.18871i	−0.143168	−	0.0465180i	−0.379724	+	0.925100i	$0.623981\pi$
$654$	7.24161	−	22.2874i	0.283169	−	0.871505i
$655$	−28.7364	−	3.29751i	−1.12282	−	0.128844i
$656$	2.01369	+	6.19750i	0.0786214	+	0.241972i
$657$		−	0.242295i		−	0.00945281i
$658$	4.93781	−	1.60439i	0.192496	−	0.0625457i
$659$	18.1587	+	13.1930i	0.707361	+	0.513928i	0.882321	−	0.470648i	$-0.155980\pi$
$659$	18.1587	+	13.1930i	0.707361	+	0.513928i	−0.174960	+	0.984575i	$0.555980\pi$
$660$	0.999216	+	0.456340i	0.0388944	+	0.0177630i
$661$	−20.1502	+	14.6400i	−0.783754	+	0.569430i	−0.906103	−	0.423057i	$-0.860957\pi$
$661$	−20.1502	+	14.6400i	−0.783754	+	0.569430i	0.122350	+	0.992487i	$0.460957\pi$
$662$	−10.0587	+	13.8446i	−0.390943	+	0.538087i
$663$	−39.9514	+	54.9884i	−1.55158	+	2.13557i
$664$	−7.61924	+	5.53570i	−0.295684	+	0.214827i
$665$	−0.762889	+	6.64825i	−0.0295836	+	0.257808i
$666$	0.00738679	+	0.00536682i	0.000286232	+	0.000207960i
$667$	−6.74641	+	2.19204i	−0.261222	+	0.0848762i
$668$			5.73709i			0.221975i
$669$	0.344007	+	1.05874i	0.0133001	+	0.0409334i
$670$	7.60657	−	4.29552i	0.293867	−	0.165950i
$671$	0.453836	−	1.39676i	0.0175202	−	0.0539215i
$672$	−9.67125	−	3.14238i	−0.373077	−	0.121220i
$673$	−0.169430	−	0.233200i	−0.00653104	−	0.00898920i	0.805739	−	0.592271i	$-0.201768\pi$
$673$	−0.169430	−	0.233200i	−0.00653104	−	0.00898920i	−0.812270	+	0.583282i	$0.801768\pi$
$674$	−0.988820			−0.0380879
$675$	−5.86910	+	25.2366i	−0.225902	+	0.971358i
$676$	−19.3925			−0.745867
$677$	−7.00346	−	9.63944i	−0.269165	−	0.370474i	0.652943	−	0.757407i	$-0.273534\pi$
$677$	−7.00346	−	9.63944i	−0.269165	−	0.370474i	−0.922108	+	0.386934i	$0.873534\pi$
$678$	5.22026	+	1.69617i	0.200483	+	0.0651409i
$679$	3.16922	−	9.75384i	0.121623	−	0.374318i
$680$	8.83772	+	43.6183i	0.338911	+	1.67269i
$681$	15.7587	+	48.5002i	0.603874	+	1.85853i
$682$			0.218906i			0.00838235i
$683$	20.0222	−	6.50560i	0.766127	−	0.248930i	0.100221	−	0.994965i	$-0.468045\pi$
$683$	20.0222	−	6.50560i	0.766127	−	0.248930i	0.665906	+	0.746036i	$0.268045\pi$
$684$	0.0548790	+	0.0398719i	0.00209835	+	0.00152454i
$685$	9.95309	+	17.6251i	0.380288	+	0.673420i
$686$	−0.627580	+	0.455964i	−0.0239611	+	0.0174088i
$687$	−5.85228	+	8.05498i	−0.223279	+	0.307317i
$688$	5.08737	−	7.00217i	0.193954	−	0.266955i
$689$	−9.16550	+	6.65913i	−0.349178	+	0.253693i
$690$	−6.89070	−	12.2022i	−0.262324	−	0.464528i
$691$	4.82927	+	3.50867i	0.183714	+	0.133476i	0.675841	−	0.737047i	$-0.263780\pi$
$691$	4.82927	+	3.50867i	0.183714	+	0.133476i	−0.492127	+	0.870523i	$0.663780\pi$
$692$	−16.4478	+	5.34421i	−0.625252	+	0.203157i
$693$		−	0.00327946i		−	0.000124576i
$694$	1.54232	+	4.74676i	0.0585455	+	0.180185i
$695$	−7.13808	−	35.2298i	−0.270763	−	1.33634i
$696$	2.15740	−	6.63979i	0.0817760	−	0.251681i
$697$	−62.2601	−	20.2295i	−2.35827	−	0.766249i
$698$	−1.51167	−	2.08063i	−0.0572175	−	0.0787531i
$699$	−15.8177			−0.598280
$700$	−2.72132	−	6.43982i	−0.102856	−	0.243402i
$701$	−45.7395			−1.72756			−0.863778	−	0.503873i	$-0.831908\pi$
$701$	−45.7395			−1.72756			−0.863778	+	0.503873i	$0.831908\pi$
$702$	−12.2478	−	16.8576i	−0.462262	−	0.636249i
$703$	−2.06658	−	0.671472i	−0.0779425	−	0.0253251i
$704$	−0.189981	+	0.584702i	−0.00716018	+	0.0220368i
$705$	22.6322	−	12.7807i	0.852377	−	0.481347i
$706$	1.95744	+	6.02438i	0.0736693	+	0.226731i
$707$			6.29115i			0.236603i
$708$	−25.1979	+	8.18730i	−0.946996	+	0.307698i
$709$	−23.8392	−	17.3202i	−0.895301	−	0.650474i	0.0419537	−	0.999120i	$-0.486642\pi$
$709$	−23.8392	−	17.3202i	−0.895301	−	0.650474i	−0.937255	+	0.348645i	$0.886642\pi$
$710$	−1.75780	+	15.3184i	−0.0659689	+	0.574891i
$711$	0.0859095	−	0.0624169i	0.00322186	−	0.00234082i
$712$	0.599631	−	0.825321i	0.0224721	−	0.0309302i
$713$	−3.81401	+	5.24953i	−0.142836	+	0.196597i
$714$	8.22914	−	5.97882i	0.307968	−	0.223752i
$715$	−2.13292	−	0.974100i	−0.0797667	−	0.0364293i
$716$	−7.05944	−	5.12899i	−0.263824	−	0.191679i
$717$	−44.2618	+	14.3815i	−1.65299	+	0.537088i
$718$		−	9.89068i		−	0.369117i
$719$	−0.0505454	−	0.155563i	−0.00188503	−	0.00580151i	0.950110	−	0.311916i	$-0.100971\pi$
$719$	−0.0505454	−	0.155563i	−0.00188503	−	0.00580151i	−0.951995	+	0.306115i	$0.900971\pi$
$720$	−0.0270651	−	0.00310573i	−0.00100866	−	0.000115744i
$721$	−1.05761	+	3.25499i	−0.0393874	+	0.121222i
$722$	−7.40992	−	2.40763i	−0.275769	−	0.0896027i
$723$	−18.4654	−	25.4155i	−0.686737	−	0.945212i
$724$	−6.03701			−0.224364
$725$	7.02334	−	2.96791i	0.260840	−	0.110225i
$726$	14.7644			0.547959
$727$	3.87186	+	5.32916i	0.143599	+	0.197648i	0.874758	−	0.484560i	$-0.161020\pi$
$727$	3.87186	+	5.32916i	0.143599	+	0.197648i	−0.731159	+	0.682207i	$0.761020\pi$
$728$	12.9957	+	4.22256i	0.481653	+	0.156498i
$729$	−8.29789	+	25.5383i	−0.307329	+	0.945862i
$730$	19.1006	+	17.5308i	0.706945	+	0.648842i
$731$	26.8689	+	82.6941i	0.993784	+	3.05855i
$732$			17.6291i			0.651592i
$733$	10.6158	−	3.44927i	0.392102	−	0.127402i	−0.106329	−	0.994331i	$-0.533910\pi$
$733$	10.6158	−	3.44927i	0.392102	−	0.127402i	0.498431	+	0.866929i	$0.333910\pi$
$734$	18.5271	+	13.4607i	0.683848	+	0.496844i
$735$	−2.62591	+	2.86106i	−0.0968582	+	0.105532i
$736$	−22.0353	+	16.0095i	−0.812230	+	0.590120i
$737$	0.598845	−	0.824240i	0.0220588	−	0.0303613i
$738$	−0.0640890	+	0.0882109i	−0.00235915	+	0.00324709i
$739$	10.2148	−	7.42151i	0.375759	−	0.273005i	−0.383836	−	0.923401i	$-0.625397\pi$
$739$	10.2148	−	7.42151i	0.375759	−	0.273005i	0.759595	+	0.650397i	$0.225397\pi$
$740$	2.22491	−	0.450801i	0.0817894	−	0.0165718i
$741$	−21.7961	−	15.8358i	−0.800701	−	0.581743i
$742$	1.61246	−	0.523920i	0.0591953	−	0.0192337i
$743$		−	29.1450i		−	1.06923i	−0.845097	−	0.534613i	$-0.820457\pi$
$743$		−	29.1450i		−	1.06923i	0.845097	−	0.534613i	$-0.179543\pi$
$744$	−1.97345	−	6.07367i	−0.0723504	−	0.222672i
$745$	7.40156	−	16.2067i	0.271172	−	0.593767i
$746$	5.78908	−	17.8170i	0.211953	−	0.652325i
$747$	0.0550805	+	0.0178967i	0.00201529	+	0.000654808i
$748$	1.25532	+	1.72779i	0.0458989	+	0.0631744i
$749$	9.43420			0.344718
$750$	8.50153	+	12.4340i	0.310432	+	0.454024i
$751$	5.58474			0.203790			0.101895	−	0.994795i	$-0.467509\pi$
$751$	5.58474			0.203790			0.101895	+	0.994795i	$0.467509\pi$
$752$	−2.95662	−	4.06944i	−0.107817	−	0.148397i
$753$	33.0710	+	10.7454i	1.20517	+	0.391585i
$754$	−1.89484	+	5.83173i	−0.0690061	+	0.212379i
$755$	−1.18510	+	2.59493i	−0.0431302	+	0.0944393i
$756$	−2.23905	−	6.89108i	−0.0814333	−	0.250626i
$757$		−	11.8072i		−	0.429139i	−0.976709	−	0.214570i	$-0.931165\pi$
$757$		−	11.8072i		−	0.429139i	0.976709	−	0.214570i	$-0.0688349\pi$
$758$	26.4483	−	8.59357i	0.960645	−	0.312132i
$759$	−1.32221	−	0.960644i	−0.0479933	−	0.0348692i
$760$	−17.2893	+	3.50307i	−0.627149	+	0.127070i
$761$	−11.6747	+	8.48218i	−0.423208	+	0.307479i	−0.778927	−	0.627114i	$-0.784236\pi$
$761$	−11.6747	+	8.48218i	−0.423208	+	0.307479i	0.355719	+	0.934593i	$0.384236\pi$
$762$	3.30789	−	4.55291i	0.119832	−	0.164935i
$763$	−10.2242	+	14.0724i	−0.370140	+	0.509455i
$764$	−0.362508	+	0.263378i	−0.0131151	+	0.00952866i
$765$	0.185058	−	0.201629i	0.00669078	−	0.00728993i
$766$	8.53592	+	6.20171i	0.308415	+	0.224077i
$767$	53.7873	−	17.4766i	1.94215	−	0.631042i
$768$		−	23.1565i		−	0.835589i
$769$	−2.13199	−	6.56160i	−0.0768817	−	0.236617i	0.905228	−	0.424925i	$-0.139700\pi$
$769$	−2.13199	−	6.56160i	−0.0768817	−	0.236617i	−0.982110	+	0.188308i	$0.939700\pi$
$770$	0.258527	+	0.237279i	0.00931665	+	0.00855094i
$771$	9.93649	−	30.5814i	0.357854	−	1.10136i
$772$	18.1363	+	5.89285i	0.652741	+	0.212088i
$773$	−6.73638	−	9.27183i	−0.242291	−	0.333485i	0.670502	−	0.741908i	$-0.266079\pi$
$773$	−6.73638	−	9.27183i	−0.242291	−	0.333485i	−0.912793	+	0.408423i	$0.866079\pi$
$774$	0.144820			0.00520545
$775$	3.60179	−	5.97260i	0.129380	−	0.214542i
$776$	27.0355			0.970520
$777$	−0.741195	−	1.02017i	−0.0265902	−	0.0365983i
$778$	2.53043	+	0.822186i	0.0907203	+	0.0294768i
$779$	8.01853	−	24.6785i	0.287294	−	0.884199i
$780$	27.9631	+	3.20877i	1.00124	+	0.114892i
$781$	0.555698	+	1.71026i	0.0198844	+	0.0611980i
$782$		−	27.2446i		−	0.974266i
$783$	7.51548	−	2.44193i	0.268581	−	0.0872674i
$784$	0.608021	+	0.441753i	0.0217150	+	0.0157769i
$785$	−28.6865	−	13.1011i	−1.02387	−	0.467597i
$786$	−14.0990	+	10.2435i	−0.502894	+	0.365374i
$787$	11.9351	−	16.4272i	0.425439	−	0.585566i	−0.541460	−	0.840727i	$-0.682128\pi$
$787$	11.9351	−	16.4272i	0.425439	−	0.585566i	0.966899	+	0.255160i	$0.0821282\pi$
$788$	−21.0735	+	29.0051i	−0.750711	+	1.03327i
$789$	21.2447	−	15.4352i	0.756331	−	0.549507i
$790$	−1.29536	+	11.2885i	−0.0460868	+	0.401626i
$791$	−3.29611	−	2.39476i	−0.117196	−	0.0851479i
$792$	0.00822193	−	0.00267147i	0.000292154	−	9.49265e-5i
$793$		−	37.6311i		−	1.33632i
$794$	−8.33411	−	25.6498i	−0.295767	−	0.910276i
$795$	7.39062	−	4.17357i	0.262118	−	0.148021i
$796$	10.3280	−	31.7864i	0.366067	−	1.12664i
$797$	−12.9601	−	4.21098i	−0.459069	−	0.149160i	0.0703478	−	0.997523i	$-0.477589\pi$
$797$	−12.9601	−	4.21098i	−0.459069	−	0.149160i	−0.529416	+	0.848362i	$0.677589\pi$
$798$	2.36987	+	3.26184i	0.0838924	+	0.115468i
$799$	50.5325			1.78771
$800$	22.1259	−	19.1714i	0.782270	−	0.677811i
$801$	−0.00627341			−0.000221660
$802$	−13.1576	−	18.1098i	−0.464610	−	0.639481i
$803$	2.87571	+	0.934373i	0.101481	+	0.0329733i
$804$	−3.77914	+	11.6310i	−0.133280	+	0.410194i
$805$	2.06555	+	10.1944i	0.0728009	+	0.359307i
$806$	1.73329	+	5.33450i	0.0610524	+	0.187900i
$807$			15.7698i			0.555124i
$808$	−15.7726	+	5.12481i	−0.554876	+	0.180290i
$809$	10.3038	+	7.48617i	0.362264	+	0.263200i	0.753996	−	0.656879i	$-0.228124\pi$
$809$	10.3038	+	7.48617i	0.362264	+	0.263200i	−0.391732	+	0.920079i	$0.628124\pi$
$810$	7.71770	+	13.6666i	0.271172	+	0.480196i
$811$	−29.4780	+	21.4170i	−1.03511	+	0.752053i	−0.969325	−	0.245781i	$-0.920956\pi$
$811$	−29.4780	+	21.4170i	−1.03511	+	0.752053i	−0.0657868	+	0.997834i	$0.520956\pi$
$812$	−1.25329	+	1.72501i	−0.0439819	+	0.0605359i
$813$	18.6609	−	25.6845i	0.654465	−	0.900794i
$814$	−0.0921828	+	0.0669748i	−0.00323101	+	0.00234746i
$815$	−1.40191	−	2.48253i	−0.0491069	−	0.0869592i
$816$	−7.97268	−	5.79249i	−0.279100	−	0.202778i
$817$	−32.7781	+	10.6502i	−1.14676	+	0.372605i
$818$		−	13.5153i		−	0.472553i
$819$	−0.0259665	−	0.0799167i	−0.000907344	−	0.00279252i
$820$	5.38333	+	26.5693i	0.187994	+	0.927839i
$821$	−9.44100	+	29.0564i	−0.329493	+	1.01408i	0.639878	+	0.768476i	$0.278985\pi$
$821$	−9.44100	+	29.0564i	−0.329493	+	1.01408i	−0.969371	+	0.245600i	$0.921015\pi$
$822$	11.5985	+	3.76857i	0.404543	+	0.131444i
$823$	−32.0100	−	44.0580i	−1.11580	−	1.53577i	−0.812584	−	0.582844i	$-0.801940\pi$
$823$	−32.0100	−	44.0580i	−1.11580	−	1.53577i	−0.303215	−	0.952922i	$-0.598060\pi$
$824$	−9.02212			−0.314300
$825$	1.50433	+	0.907191i	0.0523742	+	0.0315843i
$826$	−8.46364			−0.294488
$827$	−12.2768	−	16.8975i	−0.426905	−	0.587584i	0.540334	−	0.841450i	$-0.318298\pi$
$827$	−12.2768	−	16.8975i	−0.426905	−	0.587584i	−0.967239	+	0.253866i	$0.918298\pi$
$828$	0.100278	+	0.0325824i	0.00348491	+	0.00113232i
$829$	7.35475	−	22.6356i	0.255441	−	0.786167i	−0.738301	−	0.674471i	$-0.764372\pi$
$829$	7.35475	−	22.6356i	0.255441	−	0.786167i	0.993742	−	0.111696i	$-0.0356283\pi$
$830$	−5.39609	+	3.04723i	−0.187301	+	0.105771i
$831$	10.4674	+	32.2154i	0.363110	+	1.11754i
$832$			15.7528i			0.546130i
$833$	−7.18060	+	2.33312i	−0.248793	+	0.0808378i
$834$	−17.5211	−	12.7298i	−0.606707	−	0.440798i
$835$	−1.04594	+	9.11495i	−0.0361964	+	0.315436i
$836$	−0.684858	+	0.497579i	−0.0236863	+	0.0172091i
$837$	4.24880	−	5.84797i	0.146860	−	0.202135i
$838$	−0.884433	+	1.21732i	−0.0305522	+	0.0420516i
$839$	22.0448	−	16.0165i	0.761072	−	0.552951i	−0.138167	−	0.990409i	$-0.544121\pi$
$839$	22.0448	−	16.0165i	0.761072	−	0.552951i	0.899239	+	0.437458i	$0.144121\pi$
$840$	−9.31205	−	4.25279i	−0.321296	−	0.146735i
$841$	21.5802	+	15.6789i	0.744144	+	0.540652i
$842$	24.1054	−	7.83231i	0.830726	−	0.269919i
$843$		−	27.4365i		−	0.944963i
$844$	−1.26305	−	3.88728i	−0.0434761	−	0.133806i
$845$	−30.8104	−	3.53550i	−1.05991	−	0.121625i
$846$	0.0260084	−	0.0800457i	0.000894188	−	0.00275203i
$847$	−10.4227	−	3.38654i	−0.358128	−	0.116363i
$848$	−0.965497	−	1.32889i	−0.0331553	−	0.0456343i
$849$	9.81140			0.336726
$850$	2.50538	+	29.1770i	0.0859337	+	1.00076i
$851$	−3.37752			−0.115780
$852$	−12.6879	−	17.4634i	−0.434680	−	0.598286i
$853$	−22.7404	−	7.38880i	−0.778616	−	0.252988i	−0.107367	−	0.994219i	$-0.534242\pi$
$853$	−22.7404	−	7.38880i	−0.778616	−	0.252988i	−0.671249	+	0.741232i	$0.734242\pi$
$854$	−1.74025	+	5.35595i	−0.0595503	+	0.183277i
$855$	0.0799213	+	0.0733527i	0.00273325	+	0.00250861i
$856$	7.68516	+	23.6525i	0.262673	+	0.808426i
$857$		−	51.5548i		−	1.76108i	−0.473972	−	0.880540i	$-0.657180\pi$
$857$		−	51.5548i		−	1.76108i	0.473972	−	0.880540i	$-0.342820\pi$
$858$	−1.34361	+	0.436567i	−0.0458702	+	0.0149041i
$859$	1.30885	+	0.950935i	0.0446574	+	0.0324455i	0.609890	−	0.792486i	$-0.291214\pi$
$859$	1.30885	+	0.950935i	0.0446574	+	0.0324455i	−0.565233	+	0.824932i	$0.691214\pi$
$860$	24.3470	−	26.5272i	0.830224	−	0.904569i
$861$	12.1825	−	8.85113i	0.415180	−	0.301646i
$862$	5.01190	−	6.89829i	0.170706	−	0.234957i
$863$	0.324688	−	0.446894i	0.0110525	−	0.0152125i	−0.803455	−	0.595365i	$-0.797007\pi$
$863$	0.324688	−	0.446894i	0.0110525	−	0.0152125i	0.814507	+	0.580153i	$0.197007\pi$
$864$	24.5472	−	17.8346i	0.835113	−	0.606745i
$865$	−27.1062	+	5.49212i	−0.921638	+	0.186738i
$866$	−3.01146	−	2.18795i	−0.102334	−	0.0743497i
$867$	66.0763	−	21.4695i	2.24407	−	0.729143i
$868$			1.95043i			0.0662019i
$869$	0.409506	+	1.26033i	0.0138915	+	0.0427538i
$870$	1.90841	−	4.17871i	0.0647012	−	0.141672i
$871$	8.06693	−	24.8274i	0.273337	−	0.841246i
$872$	−43.6096	−	14.1696i	−1.47681	−	0.479844i
$873$	−0.0977219	−	0.134503i	−0.00330739	−	0.00455223i
$874$	10.7991			0.365287
$875$	−3.14951	−	10.7276i	−0.106473	−	0.362658i
$876$	−36.2955			−1.22631
$877$	31.3084	+	43.0923i	1.05721	+	1.45512i	0.882388	+	0.470522i	$0.155935\pi$
$877$	31.3084	+	43.0923i	1.05721	+	1.45512i	0.174820	+	0.984600i	$0.444065\pi$
$878$	−12.0392	−	3.91176i	−0.406302	−	0.132016i
$879$	−10.0553	+	30.9470i	−0.339157	+	1.04382i
$880$	0.141233	−	0.309249i	0.00476097	−	0.0104248i
$881$	−8.73758	−	26.8915i	−0.294377	−	0.905998i	−0.983430	−	0.181287i	$-0.941974\pi$
$881$	−8.73758	−	26.8915i	−0.294377	−	0.905998i	0.689054	−	0.724710i	$-0.258026\pi$
$882$			0.0125752i			0.000423429i
$883$	13.1297	−	4.26611i	0.441851	−	0.143566i	−0.0796383	−	0.996824i	$-0.525377\pi$
$883$	13.1297	−	4.26611i	0.441851	−	0.143566i	0.521490	+	0.853258i	$0.325377\pi$
$884$	44.2712	+	32.1649i	1.48900	+	1.08182i
$885$	−41.5265	+	8.41389i	−1.39590	+	0.282830i
$886$	23.8605	−	17.3357i	0.801610	−	0.582404i
$887$	−5.42548	+	7.46754i	−0.182170	+	0.250735i	−0.890329	−	0.455317i	$-0.849526\pi$
$887$	−5.42548	+	7.46754i	−0.182170	+	0.250735i	0.708159	+	0.706053i	$0.249526\pi$
$888$	1.95388	−	2.68929i	0.0655679	−	0.0902465i
$889$	−3.37946	+	2.45532i	−0.113343	+	0.0823488i
$890$	0.453900	−	0.494546i	0.0152148	−	0.0165772i
$891$	1.48090	+	1.07594i	0.0496121	+	0.0360453i
$892$	0.852397	−	0.276960i	0.0285403	−	0.00927332i
$893$			20.0299i			0.670276i
$894$	−3.31719	−	10.2093i	−0.110943	−	0.341449i
$895$	−10.2808	−	9.43583i	−0.343649	−	0.315405i
$896$	−2.89025	+	8.89529i	−0.0965566	+	0.297171i
$897$	−39.8272	−	12.9406i	−1.32979	−	0.432075i
$898$	−3.66355	−	5.04244i	−0.122254	−	0.168269i
$899$	−2.12716			−0.0709447
$900$	−0.110387	−	0.0256719i	−0.00367956	−	0.000855730i
$901$	16.5016			0.549747
$902$	−0.799793	−	1.10082i	−0.0266302	−	0.0366533i
$903$	−19.0218	−	6.18055i	−0.633005	−	0.205676i
$904$	3.31888	−	10.2145i	0.110384	−	0.339728i
$905$	−9.59146	−	1.10062i	−0.318831	−	0.0365860i
$906$	0.531132	+	1.63466i	0.0176457	+	0.0543078i
$907$			54.7160i			1.81681i	0.418088	+	0.908407i	$0.362701\pi$
$907$			54.7160i			1.81681i	−0.418088	+	0.908407i	$0.637299\pi$
$908$	39.0476	−	12.6873i	1.29584	−	0.421044i
$909$	0.0825071	+	0.0599449i	0.00273659	+	0.00198825i
$910$	8.17877	+	3.73523i	0.271124	+	0.123822i
$911$	14.7132	−	10.6897i	0.487468	−	0.354167i	−0.316741	−	0.948512i	$-0.602589\pi$
$911$	14.7132	−	10.6897i	0.487468	−	0.354167i	0.804210	+	0.594345i	$0.202589\pi$
$912$	2.29601	−	3.16019i	0.0760285	−	0.104644i
$913$	−0.424820	+	0.584715i	−0.0140595	+	0.0193512i
$914$	−16.8133	+	12.2156i	−0.556133	+	0.404055i
$915$	−3.21402	+	28.0088i	−0.106252	+	0.925941i
$916$	6.48508	+	4.71169i	0.214273	+	0.155678i
$917$	12.3025	−	3.99733i	0.406265	−	0.132003i
$918$			30.3505i			1.00171i
$919$	14.5530	+	44.7895i	0.480059	+	1.47747i	0.839012	+	0.544113i	$0.183134\pi$
$919$	14.5530	+	44.7895i	0.480059	+	1.47747i	−0.358953	+	0.933355i	$0.616866\pi$
$920$	−23.8759	+	13.4830i	−0.787165	+	0.444521i
$921$	−9.13371	+	28.1107i	−0.300966	+	0.926278i
$922$	−13.4131	−	4.35819i	−0.441738	−	0.143529i
$923$	27.0835	+	37.2773i	0.891465	+	1.22700i
$924$	−0.491259			−0.0161612
$925$	3.61707	−	0.310591i	0.118929	−	0.0102122i
$926$	−3.35213			−0.110158
$927$	0.0326111	+	0.0448853i	0.00107109	+	0.00147423i
$928$	−8.49187	−	2.75918i	−0.278759	−	0.0905744i
$929$	16.1765	−	49.7862i	0.530735	−	1.63343i	−0.221955	−	0.975057i	$-0.571244\pi$
$929$	16.1765	−	49.7862i	0.530735	−	1.63343i	0.752689	−	0.658376i	$-0.228756\pi$
$930$	−0.834470	−	4.11850i	−0.0273634	−	0.135051i
$931$	−0.924795	−	2.84623i	−0.0303089	−	0.0932813i
$932$			12.7348i			0.417144i
$933$	6.57973	−	2.13788i	0.215411	−	0.0699912i
$934$	−15.9978	−	11.6231i	−0.523465	−	0.380319i
$935$	1.67942	+	2.97394i	0.0549228	+	0.0972582i
$936$	0.179207	−	0.130201i	0.00585756	−	0.00425577i
$937$	−11.6235	+	15.9983i	−0.379723	+	0.522643i	−0.955511	−	0.294955i	$-0.904695\pi$
$937$	−11.6235	+	15.9983i	−0.379723	+	0.522643i	0.575788	+	0.817599i	$0.304695\pi$
$938$	−2.29630	+	3.16058i	−0.0749768	+	0.103197i
$939$	4.80286	−	3.48948i	0.156735	−	0.113875i
$940$	−10.2897	−	18.2212i	−0.335614	−	0.594310i
$941$	24.4116	+	17.7361i	0.795796	+	0.578180i	0.909678	−	0.415314i	$-0.136328\pi$
$941$	24.4116	+	17.7361i	0.795796	+	0.578180i	−0.113882	+	0.993494i	$0.536328\pi$
$942$	−18.0708	+	5.87157i	−0.588779	+	0.191306i
$943$		−	40.3333i		−	1.31343i
$944$	2.53390	+	7.79854i	0.0824714	+	0.253821i
$945$	−2.30101	−	11.3566i	−0.0748519	−	0.369430i
$946$	−0.558478	+	1.71882i	−0.0181577	+	0.0558836i
$947$	2.00482	+	0.651404i	0.0651478	+	0.0211678i	0.341410	−	0.939915i	$-0.389096\pi$
$947$	2.00482	+	0.651404i	0.0651478	+	0.0211678i	−0.276262	+	0.961082i	$0.589096\pi$
$948$	−9.34999	−	12.8692i	−0.303673	−	0.417971i
$949$	77.4761			2.51498
$950$	−11.5651	+	0.993073i	−0.375221	+	0.0322196i
$951$	−38.7056			−1.25511
$952$	−11.6987	−	16.1019i	−0.379158	−	0.521866i
$953$	11.4479	+	3.71965i	0.370835	+	0.120491i	0.488505	−	0.872561i	$-0.337543\pi$
$953$	11.4479	+	3.71965i	0.370835	+	0.120491i	−0.117670	+	0.993053i	$0.537543\pi$
$954$	0.00849315	−	0.0261392i	0.000274976	−	0.000846288i
$955$	−0.623961	+	0.352358i	−0.0201909	+	0.0114020i
$956$	11.5786	+	35.6353i	0.374479	+	1.15253i
$957$		−	0.535773i		−	0.0173191i
$958$	10.4230	−	3.38665i	0.336753	−	0.109418i
$959$	−7.32335	−	5.32072i	−0.236483	−	0.171815i
$960$	1.34542	−	11.7248i	0.0434234	−	0.378416i
$961$	23.5053	−	17.0776i	0.758237	−	0.550891i
$962$	−1.71609	+	2.36200i	−0.0553290	+	0.0761539i
$963$	0.0898933	−	0.123728i	0.00289677	−	0.00398706i
$964$	−20.4621	+	14.8666i	−0.659039	+	0.478820i
$965$	27.7402	+	12.6689i	0.892989	+	0.407826i
$966$	5.07008	+	3.68363i	0.163127	+	0.118519i
$967$	8.77742	−	2.85196i	0.282263	−	0.0917128i	−0.164464	−	0.986383i	$-0.552590\pi$
$967$	8.77742	−	2.85196i	0.282263	−	0.0917128i	0.446727	+	0.894670i	$0.352590\pi$
$968$		−	28.8895i		−	0.928543i
$969$	12.1264	+	37.3211i	0.389555	+	1.19893i
$970$	17.6736	+	2.02805i	0.567466	+	0.0651169i
$971$	1.41218	−	4.34624i	0.0453190	−	0.139478i	−0.925837	−	0.377924i	$-0.876638\pi$
$971$	1.41218	−	4.34624i	0.0453190	−	0.139478i	0.971156	+	0.238446i	$0.0766381\pi$
$972$	−0.224026	−	0.0727905i	−0.00718565	−	0.00233476i
$973$	9.44888	+	13.0053i	0.302917	+	0.416930i
$974$	15.2993			0.490220
$975$	43.8420	+	10.1960i	1.40407	+	0.326534i
$976$	5.45607			0.174645
$977$	−14.6617	−	20.1801i	−0.469069	−	0.645618i	0.507290	−	0.861776i	$-0.330647\pi$
$977$	−14.6617	−	20.1801i	−0.469069	−	0.645618i	−0.976358	+	0.216158i	$0.930647\pi$
$978$	−1.63367	−	0.530811i	−0.0522389	−	0.0169735i
$979$	0.0241925	−	0.0744568i	0.000773195	−	0.00237965i
$980$	2.30344	+	2.11413i	0.0735808	+	0.0675333i
$981$	0.0871357	+	0.268176i	0.00278203	+	0.00856220i
$982$		−	22.5229i		−	0.718733i
$983$	9.17320	−	2.98055i	0.292580	−	0.0950648i	−0.159050	−	0.987271i	$-0.550843\pi$
$983$	9.17320	−	2.98055i	0.292580	−	0.0950648i	0.451629	+	0.892206i	$0.350843\pi$
$984$	32.1147	+	23.3327i	1.02378	+	0.743818i
$985$	−38.7690	+	42.2407i	−1.23528	+	1.34590i
$986$	7.22563	−	5.24972i	0.230111	−	0.167185i
$987$	−6.83228	+	9.40383i	−0.217474	+	0.299327i
$988$	−12.7494	+	17.5481i	−0.405614	+	0.558280i
$989$	−43.3397	+	31.4882i	−1.37812	+	1.00127i
$990$	0.00557522	−	0.00112962i	0.000177192	−	3.59018e-5i
$991$	1.93346	+	1.40474i	0.0614183	+	0.0446230i	0.618071	−	0.786122i	$-0.287914\pi$
$991$	1.93346	+	1.40474i	0.0614183	+	0.0446230i	−0.556652	+	0.830745i	$0.687914\pi$
$992$	−7.76784	+	2.52392i	−0.246629	+	0.0801347i
$993$		−	38.3127i		−	1.21582i
$994$	−2.13085	−	6.55808i	−0.0675864	−	0.208010i
$995$	22.2039	−	48.6185i	0.703912	−	1.54131i
$996$	2.68091	−	8.25101i	0.0849480	−	0.261443i
$997$	58.7336	+	19.0837i	1.86011	+	0.604387i	0.994636	+	0.103435i	$0.0329834\pi$
$997$	58.7336	+	19.0837i	1.86011	+	0.604387i	0.865475	+	0.500952i	$0.167017\pi$
$998$	5.96460	+	8.20957i	0.188806	+	0.259869i
$999$	3.76254			0.119042

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	175.2.n.a.64.6	✓	56
5.2	odd	4		875.2.h.d.176.10		56
5.3	odd	4		875.2.h.e.176.5		56
5.4	even	2		875.2.n.c.449.9		56
25.3	odd	20		4375.2.a.o.1.19		28
25.9	even	10	inner	175.2.n.a.134.6	yes	56
25.12	odd	20		875.2.h.d.701.10		56
25.13	odd	20		875.2.h.e.701.5		56
25.16	even	5		875.2.n.c.799.9		56
25.22	odd	20		4375.2.a.p.1.10		28

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
175.2.n.a.64.6	✓	56	1.1	even	1	trivial
175.2.n.a.134.6	yes	56	25.9	even	10	inner
875.2.h.d.176.10		56	5.2	odd	4
875.2.h.d.701.10		56	25.12	odd	20
875.2.h.e.176.5		56	5.3	odd	4
875.2.h.e.701.5		56	25.13	odd	20
875.2.n.c.449.9		56	5.4	even	2
875.2.n.c.799.9		56	25.16	even	5
4375.2.a.o.1.19		28	25.3	odd	20
4375.2.a.p.1.10		28	25.22	odd	20

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:	\( N \)	\(=\)	\( 175 = 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	175.n (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.455964 - 0.627580i) q^{2} +(1.65172 + 0.536677i) q^{3} +(0.432080 - 1.32981i) q^{4} +(0.928918 - 2.03399i) q^{5} +(-0.416318 - 1.28129i) q^{6} +1.00000i q^{7} +(-2.50710 + 0.814607i) q^{8} +(0.0131148 + 0.00952845i) q^{9} +O(q^{10})\)	\(q+(-0.455964 - 0.627580i) q^{2} +(1.65172 + 0.536677i) q^{3} +(0.432080 - 1.32981i) q^{4} +(0.928918 - 2.03399i) q^{5} +(-0.416318 - 1.28129i) q^{6} +1.00000i q^{7} +(-2.50710 + 0.814607i) q^{8} +(0.0131148 + 0.00952845i) q^{9} +(-1.70004 + 0.344454i) q^{10} +(-0.163665 + 0.118910i) q^{11} +(1.42735 - 1.96458i) q^{12} +(-3.04682 + 4.19358i) q^{13} +(0.627580 - 0.455964i) q^{14} +(2.62591 - 2.86106i) q^{15} +(-0.608021 - 0.441753i) q^{16} +(7.18060 - 2.33312i) q^{17} -0.0125752i q^{18} +(0.924795 + 2.84623i) q^{19} +(-2.30344 - 2.11413i) q^{20} +(-0.536677 + 1.65172i) q^{21} +(0.149251 + 0.0484945i) q^{22} +(2.73422 + 3.76333i) q^{23} -4.57822 q^{24} +(-3.27422 - 3.77882i) q^{25} +4.02105 q^{26} +(-3.04591 - 4.19234i) q^{27} +(1.32981 + 0.432080i) q^{28} +(-0.471231 + 1.45030i) q^{29} +(-2.99286 - 0.343432i) q^{30} +(0.431053 + 1.32664i) q^{31} +5.85525i q^{32} +(-0.334145 + 0.108570i) q^{33} +(-4.73831 - 3.44259i) q^{34} +(2.03399 + 0.928918i) q^{35} +(0.0183376 - 0.0133231i) q^{36} +(-0.426777 + 0.587409i) q^{37} +(1.36456 - 1.87816i) q^{38} +(-7.28310 + 5.29148i) q^{39} +(-0.671992 + 5.85612i) q^{40} +(-7.01466 - 5.09645i) q^{41} +(1.28129 - 0.416318i) q^{42} +11.5163i q^{43} +(0.0874102 + 0.269021i) q^{44} +(0.0315633 - 0.0178242i) q^{45} +(1.11509 - 3.43189i) q^{46} +(6.36535 + 2.06823i) q^{47} +(-0.767204 - 1.05597i) q^{48} -1.00000 q^{49} +(-0.878586 + 3.77784i) q^{50} +13.1125 q^{51} +(4.26018 + 5.86364i) q^{52} +(2.07863 + 0.675388i) q^{53} +(-1.24220 + 3.82311i) q^{54} +(0.0898293 + 0.443350i) q^{55} +(-0.814607 - 2.50710i) q^{56} +5.19749i q^{57} +(1.12504 - 0.365549i) q^{58} +(-8.82680 - 6.41305i) q^{59} +(-2.67004 - 4.72816i) q^{60} +(-5.87322 + 4.26715i) q^{61} +(0.636032 - 0.875422i) q^{62} +(-0.00952845 + 0.0131148i) q^{63} +(2.45860 - 1.78628i) q^{64} +(5.69946 + 10.0927i) q^{65} +(0.220495 + 0.160199i) q^{66} +(-4.78966 + 1.55625i) q^{67} -10.5569i q^{68} +(2.49648 + 7.68337i) q^{69} +(-0.344454 - 1.70004i) q^{70} +(2.74689 - 8.45405i) q^{71} +(-0.0406421 - 0.0132054i) q^{72} +(-8.78534 - 12.0920i) q^{73} +0.563241 q^{74} +(-3.38010 - 7.99876i) q^{75} +4.18451 q^{76} +(-0.118910 - 0.163665i) q^{77} +(6.64166 + 2.15801i) q^{78} +(2.02424 - 6.22997i) q^{79} +(-1.46332 + 0.826356i) q^{80} +(-2.79610 - 8.60551i) q^{81} +6.72606i q^{82} +(3.39777 - 1.10400i) q^{83} +(1.96458 + 1.42735i) q^{84} +(1.92466 - 16.7725i) q^{85} +(7.22742 - 5.25102i) q^{86} +(-1.55669 + 2.14260i) q^{87} +(0.313460 - 0.431441i) q^{88} +(-0.313082 + 0.227467i) q^{89} +(-0.0255778 - 0.0116813i) q^{90} +(-4.19358 - 3.04682i) q^{91} +(6.18590 - 2.00992i) q^{92} +2.42259i q^{93} +(-1.60439 - 4.93781i) q^{94} +(6.64825 + 0.762889i) q^{95} +(-3.14238 + 9.67125i) q^{96} +(-9.75384 - 3.16922i) q^{97} +(0.455964 + 0.627580i) q^{98} -0.00327946 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 56 q + 12 q^{4} - 6 q^{5} + 6 q^{9}+O(q^{10}) \) 56 * q + 12 * q^4 - 6 * q^5 + 6 * q^9	\( 56 q + 12 q^{4} - 6 q^{5} + 6 q^{9} - 4 q^{10} + 8 q^{11} - 40 q^{12} - 4 q^{14} - 18 q^{15} - 32 q^{16} + 12 q^{19} + 12 q^{20} + 4 q^{21} - 30 q^{22} + 10 q^{23} - 28 q^{24} + 4 q^{25} + 12 q^{26} + 30 q^{27} - 2 q^{29} + 28 q^{30} + 12 q^{31} + 20 q^{33} + 2 q^{35} - 14 q^{36} - 70 q^{37} - 70 q^{38} - 4 q^{39} - 30 q^{40} + 4 q^{41} + 50 q^{42} + 22 q^{44} - 52 q^{45} - 4 q^{46} - 10 q^{47} + 30 q^{48} - 56 q^{49} - 54 q^{50} - 44 q^{51} - 20 q^{53} + 54 q^{54} - 2 q^{55} + 12 q^{56} + 10 q^{58} - 6 q^{59} + 16 q^{60} - 4 q^{61} + 50 q^{62} + 20 q^{63} + 24 q^{64} - 18 q^{65} - 74 q^{66} + 10 q^{67} - 78 q^{69} + 8 q^{70} - 8 q^{71} + 140 q^{72} + 40 q^{73} + 60 q^{74} - 8 q^{75} + 52 q^{76} - 20 q^{77} - 90 q^{78} + 124 q^{80} - 72 q^{81} - 30 q^{83} - 12 q^{84} + 96 q^{85} - 20 q^{86} + 30 q^{87} + 140 q^{88} + 38 q^{89} - 8 q^{90} + 8 q^{91} + 80 q^{92} + 88 q^{94} - 70 q^{95} - 28 q^{96} - 30 q^{97} + 60 q^{99}+O(q^{100}) \) 56 * q + 12 * q^4 - 6 * q^5 + 6 * q^9 - 4 * q^10 + 8 * q^11 - 40 * q^12 - 4 * q^14 - 18 * q^15 - 32 * q^16 + 12 * q^19 + 12 * q^20 + 4 * q^21 - 30 * q^22 + 10 * q^23 - 28 * q^24 + 4 * q^25 + 12 * q^26 + 30 * q^27 - 2 * q^29 + 28 * q^30 + 12 * q^31 + 20 * q^33 + 2 * q^35 - 14 * q^36 - 70 * q^37 - 70 * q^38 - 4 * q^39 - 30 * q^40 + 4 * q^41 + 50 * q^42 + 22 * q^44 - 52 * q^45 - 4 * q^46 - 10 * q^47 + 30 * q^48 - 56 * q^49 - 54 * q^50 - 44 * q^51 - 20 * q^53 + 54 * q^54 - 2 * q^55 + 12 * q^56 + 10 * q^58 - 6 * q^59 + 16 * q^60 - 4 * q^61 + 50 * q^62 + 20 * q^63 + 24 * q^64 - 18 * q^65 - 74 * q^66 + 10 * q^67 - 78 * q^69 + 8 * q^70 - 8 * q^71 + 140 * q^72 + 40 * q^73 + 60 * q^74 - 8 * q^75 + 52 * q^76 - 20 * q^77 - 90 * q^78 + 124 * q^80 - 72 * q^81 - 30 * q^83 - 12 * q^84 + 96 * q^85 - 20 * q^86 + 30 * q^87 + 140 * q^88 + 38 * q^89 - 8 * q^90 + 8 * q^91 + 80 * q^92 + 88 * q^94 - 70 * q^95 - 28 * q^96 - 30 * q^97 + 60 * q^99

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