Properties

Label 547.2.j.a.11.9
Level $547$
Weight $2$
Character 547.11
Analytic conductor $4.368$
Analytic rank $0$
Dimension $1080$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [547,2,Mod(11,547)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(547, base_ring=CyclotomicField(78))
 
chi = DirichletCharacter(H, H._module([10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("547.11");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 547 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 547.j (of order \(39\), degree \(24\), 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: \(4.36781699056\)
Analytic rank: \(0\)
Dimension: \(1080\)
Relative dimension: \(45\) over \(\Q(\zeta_{39})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{39}]$

Embedding invariants

Embedding label 11.9
Character \(\chi\) \(=\) 547.11
Dual form 547.2.j.a.199.9

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.76793 - 0.753245i) q^{2} -2.36967 q^{3} +(1.17275 + 1.22097i) q^{4} +(4.05563 - 0.659104i) q^{5} +(4.18940 + 1.78494i) q^{6} +(-3.52772 - 2.65091i) q^{7} +(0.209233 + 0.551702i) q^{8} +2.61531 q^{9} +O(q^{10})\) \(q+(-1.76793 - 0.753245i) q^{2} -2.36967 q^{3} +(1.17275 + 1.22097i) q^{4} +(4.05563 - 0.659104i) q^{5} +(4.18940 + 1.78494i) q^{6} +(-3.52772 - 2.65091i) q^{7} +(0.209233 + 0.551702i) q^{8} +2.61531 q^{9} +(-7.66654 - 1.88963i) q^{10} +(3.44111 - 0.277795i) q^{11} +(-2.77903 - 2.89328i) q^{12} +(1.34958 - 2.33755i) q^{13} +(4.23998 + 7.34387i) q^{14} +(-9.61049 + 1.56186i) q^{15} +(0.181994 - 4.51614i) q^{16} +(2.25816 + 4.75896i) q^{17} +(-4.62369 - 1.96997i) q^{18} +(0.271519 + 6.73766i) q^{19} +(5.56100 + 4.17882i) q^{20} +(8.35952 + 6.28177i) q^{21} +(-6.29289 - 2.10087i) q^{22} +(0.0237160 - 0.116169i) q^{23} +(-0.495812 - 1.30735i) q^{24} +(11.2710 - 3.76283i) q^{25} +(-4.14671 + 3.11605i) q^{26} +0.911577 q^{27} +(-0.900477 - 7.41609i) q^{28} +(3.41989 - 3.02976i) q^{29} +(18.1671 + 4.47780i) q^{30} +(-2.08609 + 1.09486i) q^{31} +(-3.21762 + 6.78099i) q^{32} +(-8.15427 + 0.658281i) q^{33} +(-0.407599 - 10.1145i) q^{34} +(-16.0544 - 8.42598i) q^{35} +(3.06712 + 3.19321i) q^{36} +(-1.22209 - 5.98621i) q^{37} +(4.59509 - 12.1162i) q^{38} +(-3.19806 + 5.53920i) q^{39} +(1.21220 + 2.09959i) q^{40} +(3.92003 - 6.78970i) q^{41} +(-10.0473 - 17.4025i) q^{42} +(-0.0165853 + 0.0572590i) q^{43} +(4.37475 + 3.87569i) q^{44} +(10.6067 - 1.72376i) q^{45} +(-0.129432 + 0.187514i) q^{46} +(-3.29679 - 1.10063i) q^{47} +(-0.431266 + 10.7017i) q^{48} +(3.46997 + 11.9797i) q^{49} +(-22.7608 - 1.83744i) q^{50} +(-5.35108 - 11.2772i) q^{51} +(4.43679 - 1.09357i) q^{52} +(-8.79674 - 10.7741i) q^{53} +(-1.61161 - 0.686641i) q^{54} +(13.7728 - 3.39468i) q^{55} +(0.724397 - 2.50091i) q^{56} +(-0.643408 - 15.9660i) q^{57} +(-8.32827 + 2.78039i) q^{58} +(-0.00602554 + 0.149522i) q^{59} +(-13.1777 - 9.90240i) q^{60} +(-3.50360 - 1.49275i) q^{61} +(4.51276 - 0.364308i) q^{62} +(-9.22610 - 6.93297i) q^{63} +(4.03003 - 3.57029i) q^{64} +(3.93272 - 10.3697i) q^{65} +(14.9120 + 4.97837i) q^{66} +(3.06774 - 10.5911i) q^{67} +(-3.16227 + 8.33822i) q^{68} +(-0.0561989 + 0.275281i) q^{69} +(22.0362 + 26.9894i) q^{70} +(11.1881 - 7.07495i) q^{71} +(0.547209 + 1.44287i) q^{72} +(4.24422 + 0.689753i) q^{73} +(-2.34851 + 11.5037i) q^{74} +(-26.7086 + 8.91664i) q^{75} +(-7.90803 + 8.23313i) q^{76} +(-12.8757 - 8.14209i) q^{77} +(9.82632 - 7.38400i) q^{78} +(10.5025 - 2.58865i) q^{79} +(-2.23851 - 18.4358i) q^{80} -10.0061 q^{81} +(-12.0447 + 9.05097i) q^{82} +(4.90602 + 6.00878i) q^{83} +(2.13383 + 17.5737i) q^{84} +(12.2949 + 17.8122i) q^{85} +(0.0724517 - 0.0887373i) q^{86} +(-8.10399 + 7.17951i) q^{87} +(0.873253 + 1.84034i) q^{88} +(-0.677349 + 5.57847i) q^{89} +(-20.0504 - 4.94198i) q^{90} +(-10.9576 + 4.66859i) q^{91} +(0.169651 - 0.107281i) q^{92} +(4.94333 - 2.59446i) q^{93} +(4.99946 + 4.42913i) q^{94} +(5.54200 + 27.1465i) q^{95} +(7.62468 - 16.0687i) q^{96} +(-5.83993 - 0.471448i) q^{97} +(2.88900 - 23.7931i) q^{98} +(8.99958 - 0.726521i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1080 q - 25 q^{2} - 74 q^{3} + 21 q^{4} - 27 q^{5} - 75 q^{6} - 28 q^{7} + 4 q^{8} + 1010 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1080 q - 25 q^{2} - 74 q^{3} + 21 q^{4} - 27 q^{5} - 75 q^{6} - 28 q^{7} + 4 q^{8} + 1010 q^{9} - 16 q^{10} - 14 q^{11} - 69 q^{12} - 10 q^{13} - 15 q^{14} - 97 q^{15} + 39 q^{16} - 22 q^{17} - 145 q^{18} - 24 q^{19} - 51 q^{20} - 77 q^{21} - 19 q^{22} - 53 q^{23} - 45 q^{24} + 40 q^{25} - 68 q^{26} - 278 q^{27} - 50 q^{28} + 39 q^{29} + 14 q^{30} - 2 q^{31} - 45 q^{32} - 105 q^{33} - 98 q^{34} - 18 q^{35} - 172 q^{36} - 16 q^{37} - 37 q^{38} + 30 q^{39} - 33 q^{40} + 62 q^{41} + 170 q^{42} + 12 q^{43} - 22 q^{44} - 128 q^{45} + 79 q^{46} - 58 q^{47} - 27 q^{48} + 17 q^{49} - 40 q^{50} - 39 q^{51} + 97 q^{52} + 17 q^{53} - 278 q^{54} + 9 q^{55} + 47 q^{56} - 174 q^{57} - 134 q^{58} - 126 q^{59} - 414 q^{60} - 79 q^{61} + 15 q^{62} - 398 q^{63} - 308 q^{64} + 47 q^{65} - 142 q^{66} + 22 q^{67} + 7 q^{68} - 77 q^{69} + 396 q^{70} - 22 q^{71} - 172 q^{72} + 9 q^{73} - 43 q^{74} - 143 q^{75} + 46 q^{76} + 56 q^{77} - 33 q^{78} + 72 q^{79} + 131 q^{80} + 944 q^{81} + 74 q^{82} + 41 q^{83} - 582 q^{84} - 66 q^{85} + 20 q^{86} - 182 q^{87} - 459 q^{88} - 92 q^{89} - 265 q^{90} + 65 q^{91} + 86 q^{92} - 28 q^{93} - 17 q^{94} + 37 q^{95} - 70 q^{96} + 91 q^{97} + 139 q^{98} - 237 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/547\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{5}{39}\right)\)

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 \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.76793 0.753245i −1.25012 0.532625i −0.337455 0.941342i \(-0.609566\pi\)
−0.912661 + 0.408717i \(0.865976\pi\)
\(3\) −2.36967 −1.36813 −0.684063 0.729422i \(-0.739789\pi\)
−0.684063 + 0.729422i \(0.739789\pi\)
\(4\) 1.17275 + 1.22097i 0.586377 + 0.610483i
\(5\) 4.05563 0.659104i 1.81373 0.294760i 0.843535 0.537074i \(-0.180470\pi\)
0.970198 + 0.242313i \(0.0779062\pi\)
\(6\) 4.18940 + 1.78494i 1.71032 + 0.728698i
\(7\) −3.52772 2.65091i −1.33335 1.00195i −0.998211 0.0597827i \(-0.980959\pi\)
−0.335142 0.942168i \(-0.608784\pi\)
\(8\) 0.209233 + 0.551702i 0.0739750 + 0.195056i
\(9\) 2.61531 0.871771
\(10\) −7.66654 1.88963i −2.42437 0.597554i
\(11\) 3.44111 0.277795i 1.03753 0.0837583i 0.450057 0.893000i \(-0.351404\pi\)
0.587476 + 0.809242i \(0.300122\pi\)
\(12\) −2.77903 2.89328i −0.802238 0.835218i
\(13\) 1.34958 2.33755i 0.374307 0.648318i −0.615916 0.787812i \(-0.711214\pi\)
0.990223 + 0.139493i \(0.0445474\pi\)
\(14\) 4.23998 + 7.34387i 1.13318 + 1.96273i
\(15\) −9.61049 + 1.56186i −2.48142 + 0.403270i
\(16\) 0.181994 4.51614i 0.0454986 1.12904i
\(17\) 2.25816 + 4.75896i 0.547683 + 1.15422i 0.968944 + 0.247279i \(0.0795364\pi\)
−0.421261 + 0.906940i \(0.638412\pi\)
\(18\) −4.62369 1.96997i −1.08982 0.464327i
\(19\) 0.271519 + 6.73766i 0.0622906 + 1.54573i 0.664439 + 0.747342i \(0.268670\pi\)
−0.602149 + 0.798384i \(0.705689\pi\)
\(20\) 5.56100 + 4.17882i 1.24348 + 0.934412i
\(21\) 8.35952 + 6.28177i 1.82420 + 1.37080i
\(22\) −6.29289 2.10087i −1.34165 0.447908i
\(23\) 0.0237160 0.116169i 0.00494512 0.0242228i −0.977243 0.212122i \(-0.931963\pi\)
0.982188 + 0.187899i \(0.0601678\pi\)
\(24\) −0.495812 1.30735i −0.101207 0.266861i
\(25\) 11.2710 3.76283i 2.25421 0.752565i
\(26\) −4.14671 + 3.11605i −0.813237 + 0.611108i
\(27\) 0.911577 0.175433
\(28\) −0.900477 7.41609i −0.170174 1.40151i
\(29\) 3.41989 3.02976i 0.635057 0.562612i −0.282970 0.959129i \(-0.591320\pi\)
0.918027 + 0.396517i \(0.129781\pi\)
\(30\) 18.1671 + 4.47780i 3.31685 + 0.817530i
\(31\) −2.08609 + 1.09486i −0.374673 + 0.196643i −0.641539 0.767090i \(-0.721704\pi\)
0.266867 + 0.963733i \(0.414012\pi\)
\(32\) −3.21762 + 6.78099i −0.568800 + 1.19872i
\(33\) −8.15427 + 0.658281i −1.41948 + 0.114592i
\(34\) −0.407599 10.1145i −0.0699027 1.73462i
\(35\) −16.0544 8.42598i −2.71368 1.42425i
\(36\) 3.06712 + 3.19321i 0.511186 + 0.532201i
\(37\) −1.22209 5.98621i −0.200911 0.984127i −0.947724 0.319093i \(-0.896622\pi\)
0.746813 0.665035i \(-0.231583\pi\)
\(38\) 4.59509 12.1162i 0.745421 1.96551i
\(39\) −3.19806 + 5.53920i −0.512099 + 0.886982i
\(40\) 1.21220 + 2.09959i 0.191666 + 0.331975i
\(41\) 3.92003 6.78970i 0.612206 1.06037i −0.378661 0.925535i \(-0.623615\pi\)
0.990868 0.134837i \(-0.0430512\pi\)
\(42\) −10.0473 17.4025i −1.55034 2.68527i
\(43\) −0.0165853 + 0.0572590i −0.00252923 + 0.00873192i −0.961773 0.273849i \(-0.911703\pi\)
0.959244 + 0.282581i \(0.0911904\pi\)
\(44\) 4.37475 + 3.87569i 0.659518 + 0.584282i
\(45\) 10.6067 1.72376i 1.58116 0.256964i
\(46\) −0.129432 + 0.187514i −0.0190836 + 0.0276474i
\(47\) −3.29679 1.10063i −0.480887 0.160544i 0.0658817 0.997827i \(-0.479014\pi\)
−0.546768 + 0.837284i \(0.684142\pi\)
\(48\) −0.431266 + 10.7017i −0.0622479 + 1.54466i
\(49\) 3.46997 + 11.9797i 0.495710 + 1.71139i
\(50\) −22.7608 1.83744i −3.21886 0.259853i
\(51\) −5.35108 11.2772i −0.749301 1.57912i
\(52\) 4.43679 1.09357i 0.615272 0.151651i
\(53\) −8.79674 10.7741i −1.20833 1.47993i −0.833214 0.552950i \(-0.813502\pi\)
−0.375111 0.926980i \(-0.622395\pi\)
\(54\) −1.61161 0.686641i −0.219312 0.0934400i
\(55\) 13.7728 3.39468i 1.85712 0.457739i
\(56\) 0.724397 2.50091i 0.0968016 0.334198i
\(57\) −0.643408 15.9660i −0.0852215 2.11475i
\(58\) −8.32827 + 2.78039i −1.09356 + 0.365083i
\(59\) −0.00602554 + 0.149522i −0.000784459 + 0.0194661i −0.999534 0.0305310i \(-0.990280\pi\)
0.998749 + 0.0499971i \(0.0159212\pi\)
\(60\) −13.1777 9.90240i −1.70123 1.27839i
\(61\) −3.50360 1.49275i −0.448590 0.191126i 0.155844 0.987782i \(-0.450190\pi\)
−0.604434 + 0.796655i \(0.706601\pi\)
\(62\) 4.51276 0.364308i 0.573121 0.0462671i
\(63\) −9.22610 6.93297i −1.16238 0.873471i
\(64\) 4.03003 3.57029i 0.503753 0.446287i
\(65\) 3.93272 10.3697i 0.487794 1.28621i
\(66\) 14.9120 + 4.97837i 1.83555 + 0.612795i
\(67\) 3.06774 10.5911i 0.374784 1.29391i −0.522570 0.852596i \(-0.675027\pi\)
0.897355 0.441310i \(-0.145486\pi\)
\(68\) −3.16227 + 8.33822i −0.383482 + 1.01116i
\(69\) −0.0561989 + 0.275281i −0.00676556 + 0.0331399i
\(70\) 22.0362 + 26.9894i 2.63383 + 3.22585i
\(71\) 11.1881 7.07495i 1.32779 0.839642i 0.333131 0.942881i \(-0.391895\pi\)
0.994657 + 0.103239i \(0.0329207\pi\)
\(72\) 0.547209 + 1.44287i 0.0644893 + 0.170044i
\(73\) 4.24422 + 0.689753i 0.496748 + 0.0807295i 0.403624 0.914925i \(-0.367750\pi\)
0.0931245 + 0.995654i \(0.470315\pi\)
\(74\) −2.34851 + 11.5037i −0.273008 + 1.33728i
\(75\) −26.7086 + 8.91664i −3.08404 + 1.02960i
\(76\) −7.90803 + 8.23313i −0.907113 + 0.944405i
\(77\) −12.8757 8.14209i −1.46732 0.927877i
\(78\) 9.82632 7.38400i 1.11261 0.836074i
\(79\) 10.5025 2.58865i 1.18163 0.291245i 0.400904 0.916120i \(-0.368696\pi\)
0.780725 + 0.624875i \(0.214850\pi\)
\(80\) −2.23851 18.4358i −0.250273 2.06118i
\(81\) −10.0061 −1.11179
\(82\) −12.0447 + 9.05097i −1.33011 + 0.999513i
\(83\) 4.90602 + 6.00878i 0.538506 + 0.659550i 0.970153 0.242493i \(-0.0779650\pi\)
−0.431648 + 0.902042i \(0.642068\pi\)
\(84\) 2.13383 + 17.5737i 0.232820 + 1.91744i
\(85\) 12.2949 + 17.8122i 1.33357 + 1.93201i
\(86\) 0.0724517 0.0887373i 0.00781267 0.00956878i
\(87\) −8.10399 + 7.17951i −0.868839 + 0.769724i
\(88\) 0.873253 + 1.84034i 0.0930890 + 0.196181i
\(89\) −0.677349 + 5.57847i −0.0717989 + 0.591317i 0.911759 + 0.410725i \(0.134724\pi\)
−0.983558 + 0.180592i \(0.942199\pi\)
\(90\) −20.0504 4.94198i −2.11350 0.520931i
\(91\) −10.9576 + 4.66859i −1.14867 + 0.489401i
\(92\) 0.169651 0.107281i 0.0176873 0.0111848i
\(93\) 4.94333 2.59446i 0.512600 0.269033i
\(94\) 4.99946 + 4.42913i 0.515655 + 0.456830i
\(95\) 5.54200 + 27.1465i 0.568597 + 2.78517i
\(96\) 7.62468 16.0687i 0.778191 1.64000i
\(97\) −5.83993 0.471448i −0.592955 0.0478683i −0.219653 0.975578i \(-0.570493\pi\)
−0.373302 + 0.927710i \(0.621775\pi\)
\(98\) 2.88900 23.7931i 0.291833 2.40346i
\(99\) 8.99958 0.726521i 0.904492 0.0730181i
\(100\) 17.8124 + 9.34868i 1.78124 + 0.934868i
\(101\) 3.32598 + 8.76989i 0.330947 + 0.872636i 0.992445 + 0.122689i \(0.0391518\pi\)
−0.661498 + 0.749947i \(0.730079\pi\)
\(102\) 0.965873 + 23.9679i 0.0956357 + 2.37318i
\(103\) 1.40062 2.02915i 0.138008 0.199939i −0.747886 0.663827i \(-0.768931\pi\)
0.885893 + 0.463889i \(0.153546\pi\)
\(104\) 1.57200 + 0.255476i 0.154148 + 0.0250514i
\(105\) 38.0435 + 19.9668i 3.71266 + 1.94856i
\(106\) 7.43653 + 25.6739i 0.722300 + 2.49367i
\(107\) −8.25891 11.9651i −0.798419 1.15671i −0.984708 0.174214i \(-0.944262\pi\)
0.186289 0.982495i \(-0.440354\pi\)
\(108\) 1.06905 + 1.11300i 0.102870 + 0.107099i
\(109\) −5.12596 3.24146i −0.490978 0.310476i 0.265935 0.963991i \(-0.414319\pi\)
−0.756914 + 0.653515i \(0.773294\pi\)
\(110\) −26.9063 4.37270i −2.56542 0.416921i
\(111\) 2.89595 + 14.1853i 0.274872 + 1.34641i
\(112\) −12.6139 + 15.4492i −1.19190 + 1.45982i
\(113\) −0.368402 0.232963i −0.0346563 0.0219153i 0.517025 0.855970i \(-0.327039\pi\)
−0.551682 + 0.834055i \(0.686014\pi\)
\(114\) −10.8888 + 28.7114i −1.01983 + 2.68907i
\(115\) 0.0196161 0.486768i 0.00182921 0.0453913i
\(116\) 7.70991 + 0.622408i 0.715847 + 0.0577892i
\(117\) 3.52958 6.11342i 0.326310 0.565185i
\(118\) 0.123280 0.259806i 0.0113488 0.0239171i
\(119\) 4.64944 22.7745i 0.426214 2.08773i
\(120\) −2.87251 4.97533i −0.262223 0.454183i
\(121\) 0.906500 0.147321i 0.0824091 0.0133928i
\(122\) 5.06972 + 5.27814i 0.458991 + 0.477860i
\(123\) −9.28917 + 16.0893i −0.837576 + 1.45072i
\(124\) −3.78326 1.26304i −0.339747 0.113424i
\(125\) 25.0401 13.1421i 2.23966 1.17546i
\(126\) 11.0889 + 19.2065i 0.987877 + 1.71105i
\(127\) 2.75853 + 9.52355i 0.244780 + 0.845078i 0.984977 + 0.172688i \(0.0552451\pi\)
−0.740197 + 0.672390i \(0.765268\pi\)
\(128\) 4.42467 1.47717i 0.391089 0.130565i
\(129\) 0.0393016 0.135685i 0.00346031 0.0119464i
\(130\) −14.7637 + 15.3707i −1.29487 + 1.34810i
\(131\) −10.6420 15.4176i −0.929799 1.34705i −0.937836 0.347079i \(-0.887174\pi\)
0.00803710 0.999968i \(-0.497442\pi\)
\(132\) −10.3667 9.18409i −0.902304 0.799372i
\(133\) 16.9031 24.4884i 1.46569 2.12341i
\(134\) −13.4012 + 16.4135i −1.15769 + 1.41791i
\(135\) 3.69702 0.600824i 0.318189 0.0517107i
\(136\) −2.15305 + 2.24156i −0.184622 + 0.192212i
\(137\) −10.1108 + 10.5264i −0.863822 + 0.899334i −0.995766 0.0919234i \(-0.970698\pi\)
0.131944 + 0.991257i \(0.457878\pi\)
\(138\) 0.306709 0.444345i 0.0261088 0.0378252i
\(139\) 8.95619 9.32438i 0.759654 0.790884i −0.223297 0.974750i \(-0.571682\pi\)
0.982951 + 0.183867i \(0.0588615\pi\)
\(140\) −8.53998 29.4834i −0.721760 2.49180i
\(141\) 7.81230 + 2.60813i 0.657914 + 0.219644i
\(142\) −25.1090 + 4.08061i −2.10710 + 0.342437i
\(143\) 3.99470 8.41865i 0.334054 0.704003i
\(144\) 0.475972 11.8111i 0.0396644 0.984261i
\(145\) 11.8729 14.5416i 0.985989 1.20762i
\(146\) −6.98394 4.41637i −0.577995 0.365502i
\(147\) −8.22267 28.3879i −0.678194 2.34140i
\(148\) 5.87574 8.51248i 0.482983 0.699722i
\(149\) 10.2550 + 5.38226i 0.840126 + 0.440932i 0.829162 0.559008i \(-0.188818\pi\)
0.0109636 + 0.999940i \(0.496510\pi\)
\(150\) 53.9354 + 4.35411i 4.40380 + 0.355512i
\(151\) −0.000167695 0 0.000148565i −1.36469e−5 0 1.20901e-5i 0.663116 0.748517i \(-0.269234\pi\)
−0.663129 + 0.748505i \(0.730772\pi\)
\(152\) −3.66037 + 1.55954i −0.296895 + 0.126495i
\(153\) 5.90579 + 12.4462i 0.477455 + 1.00621i
\(154\) 16.6303 + 24.0932i 1.34011 + 1.94148i
\(155\) −7.73877 + 5.81531i −0.621593 + 0.467097i
\(156\) −10.5137 + 2.59140i −0.841770 + 0.207478i
\(157\) −2.97950 + 3.10198i −0.237790 + 0.247565i −0.829395 0.558662i \(-0.811315\pi\)
0.591606 + 0.806228i \(0.298494\pi\)
\(158\) −20.5177 3.33444i −1.63230 0.265274i
\(159\) 20.8453 + 25.5309i 1.65314 + 2.02473i
\(160\) −8.58010 + 29.6219i −0.678317 + 2.34182i
\(161\) −0.391616 + 0.346941i −0.0308636 + 0.0273428i
\(162\) 17.6900 + 7.53703i 1.38986 + 0.592165i
\(163\) 7.07122 2.36072i 0.553861 0.184906i −0.0259410 0.999663i \(-0.508258\pi\)
0.579802 + 0.814758i \(0.303130\pi\)
\(164\) 12.8872 3.17641i 1.00632 0.248036i
\(165\) −32.6368 + 8.04426i −2.54078 + 0.626245i
\(166\) −4.14742 14.3186i −0.321902 1.11134i
\(167\) 6.66005 9.64874i 0.515370 0.746642i −0.475755 0.879578i \(-0.657825\pi\)
0.991125 + 0.132936i \(0.0424404\pi\)
\(168\) −1.71658 + 5.92631i −0.132437 + 0.457225i
\(169\) 2.85725 + 4.94891i 0.219789 + 0.380685i
\(170\) −8.31956 40.7519i −0.638081 3.12553i
\(171\) 0.710106 + 17.6211i 0.0543032 + 1.34752i
\(172\) −0.0893618 + 0.0469007i −0.00681377 + 0.00357614i
\(173\) 0.780562 + 6.42851i 0.0593451 + 0.488751i 0.991832 + 0.127548i \(0.0407107\pi\)
−0.932487 + 0.361203i \(0.882366\pi\)
\(174\) 19.7352 6.58859i 1.49612 0.499479i
\(175\) −49.7360 16.6043i −3.75969 1.25517i
\(176\) −0.628300 15.5911i −0.0473599 1.17522i
\(177\) 0.0142785 0.354318i 0.00107324 0.0266322i
\(178\) 5.39946 9.35214i 0.404707 0.700973i
\(179\) −16.2859 4.01412i −1.21727 0.300029i −0.422173 0.906515i \(-0.638732\pi\)
−0.795094 + 0.606486i \(0.792579\pi\)
\(180\) 14.5438 + 10.9289i 1.08403 + 0.814594i
\(181\) −9.02621 9.39728i −0.670913 0.698495i 0.295542 0.955330i \(-0.404500\pi\)
−0.966455 + 0.256835i \(0.917320\pi\)
\(182\) 22.8888 1.69663
\(183\) 8.30236 + 3.53731i 0.613728 + 0.261485i
\(184\) 0.0690525 0.0112221i 0.00509062 0.000827306i
\(185\) −8.90190 23.4724i −0.654481 1.72572i
\(186\) −10.6937 + 0.863287i −0.784102 + 0.0632993i
\(187\) 9.09258 + 15.7488i 0.664915 + 1.15167i
\(188\) −2.52249 5.31604i −0.183972 0.387712i
\(189\) −3.21579 2.41651i −0.233914 0.175775i
\(190\) 10.6501 52.1677i 0.772640 3.78464i
\(191\) −3.62089 + 2.72092i −0.261998 + 0.196879i −0.723621 0.690197i \(-0.757524\pi\)
0.461623 + 0.887076i \(0.347267\pi\)
\(192\) −9.54982 + 8.46040i −0.689199 + 0.610577i
\(193\) −1.88103 + 3.96419i −0.135399 + 0.285348i −0.959813 0.280639i \(-0.909454\pi\)
0.824414 + 0.565987i \(0.191505\pi\)
\(194\) 9.96948 + 5.23239i 0.715767 + 0.375664i
\(195\) −9.31924 + 24.5728i −0.667364 + 1.75970i
\(196\) −10.5574 + 18.2860i −0.754101 + 1.30614i
\(197\) 11.2668 + 9.98152i 0.802726 + 0.711154i 0.961092 0.276227i \(-0.0890841\pi\)
−0.158366 + 0.987380i \(0.550623\pi\)
\(198\) −16.4579 5.49445i −1.16961 0.390473i
\(199\) −7.04563 0.568782i −0.499451 0.0403199i −0.171825 0.985127i \(-0.554966\pi\)
−0.327626 + 0.944808i \(0.606249\pi\)
\(200\) 4.43423 + 5.43094i 0.313547 + 0.384026i
\(201\) −7.26953 + 25.0973i −0.512753 + 1.77023i
\(202\) 0.725771 18.0098i 0.0510651 1.26717i
\(203\) −20.0960 + 1.62232i −1.41046 + 0.113864i
\(204\) 7.49352 19.7588i 0.524652 1.38339i
\(205\) 11.4231 30.1202i 0.797823 2.10369i
\(206\) −4.00466 + 2.53239i −0.279018 + 0.176440i
\(207\) 0.0620247 0.303817i 0.00431102 0.0211168i
\(208\) −10.3111 6.52033i −0.714944 0.452103i
\(209\) 2.80601 + 23.1096i 0.194096 + 1.59852i
\(210\) −52.2184 63.9559i −3.60341 4.41338i
\(211\) 3.75321 4.59685i 0.258382 0.316460i −0.629081 0.777340i \(-0.716569\pi\)
0.887463 + 0.460880i \(0.152466\pi\)
\(212\) 2.83834 23.3758i 0.194938 1.60546i
\(213\) −26.5121 + 16.7653i −1.81658 + 1.14874i
\(214\) 5.58853 + 27.3744i 0.382024 + 1.87128i
\(215\) −0.0295241 + 0.243153i −0.00201353 + 0.0165829i
\(216\) 0.190732 + 0.502919i 0.0129777 + 0.0342193i
\(217\) 10.2615 + 1.66766i 0.696598 + 0.113208i
\(218\) 6.62073 + 9.59179i 0.448413 + 0.649638i
\(219\) −10.0574 1.63448i −0.679615 0.110448i
\(220\) 20.2968 + 12.8349i 1.36841 + 0.865332i
\(221\) 14.1719 + 1.14407i 0.953303 + 0.0769586i
\(222\) 5.56517 27.2600i 0.373510 1.82957i
\(223\) 11.2263 + 11.6878i 0.751771 + 0.782676i 0.981680 0.190536i \(-0.0610225\pi\)
−0.229910 + 0.973212i \(0.573843\pi\)
\(224\) 29.3267 15.3918i 1.95947 1.02841i
\(225\) 29.4773 9.84097i 1.96515 0.656065i
\(226\) 0.475830 + 0.689359i 0.0316518 + 0.0458555i
\(227\) −4.94009 + 6.05051i −0.327885 + 0.401587i −0.912070 0.410034i \(-0.865517\pi\)
0.584185 + 0.811621i \(0.301414\pi\)
\(228\) 18.7394 19.5098i 1.24105 1.29207i
\(229\) 7.75002 + 26.7562i 0.512136 + 1.76810i 0.631637 + 0.775264i \(0.282383\pi\)
−0.119501 + 0.992834i \(0.538130\pi\)
\(230\) −0.401335 + 0.845796i −0.0264633 + 0.0557702i
\(231\) 30.5111 + 19.2940i 2.00748 + 1.26945i
\(232\) 2.38707 + 1.25283i 0.156719 + 0.0822525i
\(233\) −12.5023 + 5.32674i −0.819055 + 0.348967i −0.760517 0.649319i \(-0.775054\pi\)
−0.0585382 + 0.998285i \(0.518644\pi\)
\(234\) −10.8450 + 8.14946i −0.708957 + 0.532747i
\(235\) −14.0960 2.29082i −0.919522 0.149437i
\(236\) −0.189628 + 0.167996i −0.0123437 + 0.0109356i
\(237\) −24.8875 + 6.13422i −1.61662 + 0.398461i
\(238\) −25.3747 + 36.7615i −1.64479 + 2.38290i
\(239\) −5.75630 28.1962i −0.372344 1.82386i −0.544462 0.838786i \(-0.683266\pi\)
0.172118 0.985076i \(-0.444939\pi\)
\(240\) 5.30451 + 43.6866i 0.342405 + 2.81996i
\(241\) −0.331023 8.21426i −0.0213231 0.529127i −0.974189 0.225735i \(-0.927522\pi\)
0.952866 0.303392i \(-0.0981192\pi\)
\(242\) −1.71360 0.422364i −0.110154 0.0271506i
\(243\) 20.9763 1.34563
\(244\) −2.28627 6.02840i −0.146363 0.385929i
\(245\) 21.9688 + 46.2983i 1.40354 + 2.95789i
\(246\) 28.5418 21.4478i 1.81976 1.36746i
\(247\) 16.1160 + 8.45835i 1.02544 + 0.538192i
\(248\) −1.04052 0.921817i −0.0660728 0.0585354i
\(249\) −11.6256 14.2388i −0.736744 0.902348i
\(250\) −54.1684 + 4.37292i −3.42591 + 0.276568i
\(251\) −6.19173 + 3.91541i −0.390819 + 0.247139i −0.715394 0.698721i \(-0.753753\pi\)
0.324576 + 0.945860i \(0.394779\pi\)
\(252\) −2.35503 19.3954i −0.148353 1.22180i
\(253\) 0.0493382 0.406337i 0.00310187 0.0255462i
\(254\) 2.29667 18.9148i 0.144106 1.18682i
\(255\) −29.1348 42.2091i −1.82449 2.64323i
\(256\) −19.6684 1.58780i −1.22927 0.0992373i
\(257\) 22.7802 11.9560i 1.42099 0.745794i 0.433159 0.901317i \(-0.357399\pi\)
0.987832 + 0.155523i \(0.0497064\pi\)
\(258\) −0.171686 + 0.210278i −0.0106887 + 0.0130913i
\(259\) −11.5577 + 24.3574i −0.718161 + 1.51349i
\(260\) 17.2732 7.35942i 1.07124 0.456412i
\(261\) 8.94408 7.92376i 0.553625 0.490469i
\(262\) 7.20112 + 35.2734i 0.444886 + 2.17920i
\(263\) 17.3414 + 4.27427i 1.06932 + 0.263563i 0.734422 0.678693i \(-0.237453\pi\)
0.334894 + 0.942256i \(0.391299\pi\)
\(264\) −2.06932 4.36099i −0.127358 0.268400i
\(265\) −42.7776 37.8976i −2.62780 2.32803i
\(266\) −48.3293 + 30.5616i −2.96326 + 1.87385i
\(267\) 1.60509 13.2191i 0.0982300 0.808997i
\(268\) 16.5290 8.67511i 1.00967 0.529917i
\(269\) 0.166481 0.0709307i 0.0101505 0.00432472i −0.386885 0.922128i \(-0.626449\pi\)
0.397036 + 0.917803i \(0.370039\pi\)
\(270\) −6.98864 1.72255i −0.425315 0.104831i
\(271\) −4.76448 + 3.01288i −0.289422 + 0.183019i −0.671284 0.741200i \(-0.734257\pi\)
0.381863 + 0.924219i \(0.375283\pi\)
\(272\) 21.9031 9.33206i 1.32807 0.565839i
\(273\) 25.9658 11.0630i 1.57152 0.669563i
\(274\) 25.8041 10.9941i 1.55888 0.664179i
\(275\) 37.7396 16.0793i 2.27578 0.969620i
\(276\) −0.402015 + 0.254219i −0.0241985 + 0.0153022i
\(277\) 20.7443 + 5.11300i 1.24640 + 0.307210i 0.806715 0.590941i \(-0.201243\pi\)
0.439687 + 0.898151i \(0.355090\pi\)
\(278\) −22.8575 + 9.73866i −1.37090 + 0.584086i
\(279\) −5.45578 + 2.86341i −0.326629 + 0.171428i
\(280\) 1.28953 10.6202i 0.0770640 0.634679i
\(281\) −14.0776 + 8.90210i −0.839796 + 0.531055i −0.883740 0.467979i \(-0.844982\pi\)
0.0439433 + 0.999034i \(0.486008\pi\)
\(282\) −11.8470 10.4956i −0.705481 0.625002i
\(283\) 6.84959 + 14.4352i 0.407166 + 0.858084i 0.998659 + 0.0517738i \(0.0164875\pi\)
−0.591493 + 0.806310i \(0.701461\pi\)
\(284\) 21.7592 + 5.36316i 1.29117 + 0.318245i
\(285\) −13.1327 64.3282i −0.777913 3.81047i
\(286\) −13.4037 + 11.8746i −0.792575 + 0.702160i
\(287\) −31.8277 + 13.5605i −1.87873 + 0.800451i
\(288\) −8.41509 + 17.7344i −0.495864 + 1.04501i
\(289\) −6.79690 + 8.32469i −0.399818 + 0.489688i
\(290\) −31.9438 + 16.7654i −1.87581 + 0.984499i
\(291\) 13.8387 + 1.11717i 0.811238 + 0.0654899i
\(292\) 4.13526 + 5.99096i 0.241998 + 0.350594i
\(293\) 0.0263912 0.217351i 0.00154179 0.0126978i −0.991918 0.126883i \(-0.959503\pi\)
0.993459 + 0.114185i \(0.0364258\pi\)
\(294\) −6.84597 + 56.3816i −0.399265 + 3.28824i
\(295\) 0.0741134 + 0.610379i 0.00431505 + 0.0355376i
\(296\) 3.04690 1.92674i 0.177097 0.111990i
\(297\) 3.13684 0.253232i 0.182018 0.0146940i
\(298\) −14.0760 17.2400i −0.815404 0.998688i
\(299\) −0.239543 0.212216i −0.0138531 0.0122728i
\(300\) −42.2095 22.1533i −2.43697 1.27902i
\(301\) 0.210297 0.158028i 0.0121213 0.00910858i
\(302\) 0.000184568 0 0.000388969i 1.06207e−5 0 2.23826e-5i
\(303\) −7.88146 20.7817i −0.452778 1.19388i
\(304\) 30.4777 1.74801
\(305\) −15.1932 3.74479i −0.869960 0.214426i
\(306\) −1.06600 26.4525i −0.0609391 1.51219i
\(307\) −2.68074 22.0778i −0.152998 1.26005i −0.843662 0.536874i \(-0.819605\pi\)
0.690665 0.723175i \(-0.257318\pi\)
\(308\) −5.15879 25.2694i −0.293949 1.43986i
\(309\) −3.31901 + 4.80842i −0.188812 + 0.273541i
\(310\) 18.0620 4.45188i 1.02585 0.252850i
\(311\) 12.6815 11.2348i 0.719102 0.637068i −0.222057 0.975034i \(-0.571277\pi\)
0.941159 + 0.337965i \(0.109739\pi\)
\(312\) −3.72512 0.605392i −0.210894 0.0342735i
\(313\) 0.516012 0.387758i 0.0291667 0.0219174i −0.586059 0.810268i \(-0.699321\pi\)
0.615226 + 0.788351i \(0.289065\pi\)
\(314\) 7.60410 3.23980i 0.429124 0.182833i
\(315\) −41.9872 22.0366i −2.36571 1.24162i
\(316\) 15.4775 + 9.78740i 0.870680 + 0.550584i
\(317\) −5.33667 + 11.2468i −0.299737 + 0.631683i −0.996312 0.0858011i \(-0.972655\pi\)
0.696575 + 0.717484i \(0.254706\pi\)
\(318\) −17.6221 60.8385i −0.988198 3.41165i
\(319\) 10.9266 11.3757i 0.611769 0.636919i
\(320\) 13.9911 17.1360i 0.782127 0.957931i
\(321\) 19.5708 + 28.3533i 1.09234 + 1.58252i
\(322\) 0.953682 0.318386i 0.0531466 0.0177429i
\(323\) −31.4512 + 16.5069i −1.74999 + 0.918466i
\(324\) −11.7347 12.2171i −0.651925 0.678726i
\(325\) 6.41542 31.4248i 0.355864 1.74314i
\(326\) −14.2796 1.15277i −0.790876 0.0638461i
\(327\) 12.1468 + 7.68118i 0.671721 + 0.424770i
\(328\) 4.56609 + 0.742061i 0.252120 + 0.0409735i
\(329\) 8.71249 + 12.6222i 0.480335 + 0.695886i
\(330\) 63.7590 + 10.3618i 3.50982 + 0.570401i
\(331\) 1.24695 + 3.28793i 0.0685385 + 0.180721i 0.964909 0.262584i \(-0.0845748\pi\)
−0.896370 + 0.443306i \(0.853806\pi\)
\(332\) −1.58297 + 13.0369i −0.0868766 + 0.715493i
\(333\) −3.19616 15.6558i −0.175148 0.857934i
\(334\) −19.0424 + 12.0417i −1.04195 + 0.658891i
\(335\) 5.46101 44.9755i 0.298367 2.45727i
\(336\) 29.8908 36.6096i 1.63068 1.99721i
\(337\) 12.0376 + 14.7434i 0.655730 + 0.803123i 0.990255 0.139264i \(-0.0444735\pi\)
−0.334526 + 0.942387i \(0.608576\pi\)
\(338\) −1.32369 10.9015i −0.0719991 0.592966i
\(339\) 0.872989 + 0.552045i 0.0474142 + 0.0299829i
\(340\) −7.32925 + 35.9010i −0.397484 + 1.94701i
\(341\) −6.87431 + 4.34705i −0.372265 + 0.235406i
\(342\) 12.0176 31.6878i 0.649837 1.71348i
\(343\) 8.56268 22.5779i 0.462342 1.21909i
\(344\) −0.0350601 + 0.00283034i −0.00189031 + 0.000152602i
\(345\) −0.0464835 + 1.15348i −0.00250259 + 0.0621011i
\(346\) 3.46226 11.9531i 0.186132 0.642603i
\(347\) 20.1247 + 24.6483i 1.08035 + 1.32319i 0.943046 + 0.332663i \(0.107947\pi\)
0.137307 + 0.990529i \(0.456155\pi\)
\(348\) −18.2699 1.47490i −0.979370 0.0790629i
\(349\) 9.29514 + 3.10318i 0.497558 + 0.166109i 0.554361 0.832276i \(-0.312963\pi\)
−0.0568035 + 0.998385i \(0.518091\pi\)
\(350\) 75.4227 + 66.8187i 4.03151 + 3.57161i
\(351\) 1.23025 2.13085i 0.0656658 0.113737i
\(352\) −9.18845 + 24.2280i −0.489746 + 1.29135i
\(353\) −12.5558 6.58979i −0.668277 0.350739i 0.0962254 0.995360i \(-0.469323\pi\)
−0.764503 + 0.644621i \(0.777015\pi\)
\(354\) −0.292132 + 0.615654i −0.0155266 + 0.0327217i
\(355\) 40.7118 36.0675i 2.16076 1.91427i
\(356\) −7.60548 + 5.71515i −0.403090 + 0.302902i
\(357\) −11.0176 + 53.9679i −0.583115 + 2.85628i
\(358\) 25.7688 + 19.3640i 1.36192 + 1.02342i
\(359\) 1.57733 + 3.32415i 0.0832482 + 0.175442i 0.940806 0.338946i \(-0.110070\pi\)
−0.857558 + 0.514388i \(0.828019\pi\)
\(360\) 3.17028 + 5.49109i 0.167089 + 0.289406i
\(361\) −26.3840 + 2.12994i −1.38863 + 0.112102i
\(362\) 8.87927 + 23.4127i 0.466684 + 1.23054i
\(363\) −2.14810 + 0.349101i −0.112746 + 0.0183230i
\(364\) −18.5507 7.90372i −0.972322 0.414268i
\(365\) 17.6676 0.924765
\(366\) −12.0135 12.5074i −0.627958 0.653774i
\(367\) −5.48142 4.11902i −0.286128 0.215011i 0.447981 0.894043i \(-0.352143\pi\)
−0.734109 + 0.679032i \(0.762400\pi\)
\(368\) −0.520318 0.128247i −0.0271234 0.00668532i
\(369\) 10.2521 17.7572i 0.533704 0.924403i
\(370\) −1.94251 + 48.2029i −0.100986 + 2.50595i
\(371\) 2.47140 + 61.3272i 0.128309 + 3.18395i
\(372\) 8.96505 + 2.99297i 0.464816 + 0.155179i
\(373\) 13.5915 4.53750i 0.703739 0.234943i 0.0577962 0.998328i \(-0.481593\pi\)
0.645943 + 0.763386i \(0.276464\pi\)
\(374\) −4.21234 34.6917i −0.217815 1.79387i
\(375\) −59.3367 + 31.1423i −3.06413 + 1.60818i
\(376\) −0.0825773 2.04913i −0.00425860 0.105676i
\(377\) −2.46677 12.0830i −0.127045 0.622309i
\(378\) 3.86507 + 6.69450i 0.198798 + 0.344328i
\(379\) 3.86905 13.3575i 0.198740 0.686129i −0.797793 0.602931i \(-0.793999\pi\)
0.996533 0.0831983i \(-0.0265135\pi\)
\(380\) −26.6456 + 38.6028i −1.36689 + 1.98028i
\(381\) −6.53679 22.5676i −0.334890 1.15617i
\(382\) 8.45100 2.08299i 0.432391 0.106575i
\(383\) −17.3613 + 4.27918i −0.887122 + 0.218656i −0.656444 0.754374i \(-0.727940\pi\)
−0.230677 + 0.973030i \(0.574094\pi\)
\(384\) −10.4850 + 3.50040i −0.535060 + 0.178629i
\(385\) −57.5855 24.5349i −2.93483 1.25041i
\(386\) 6.31153 5.59153i 0.321249 0.284601i
\(387\) −0.0433757 + 0.149750i −0.00220491 + 0.00761224i
\(388\) −6.27318 7.68325i −0.318472 0.390058i
\(389\) −6.30453 1.02459i −0.319653 0.0519486i −0.00153188 0.999999i \(-0.500488\pi\)
−0.318121 + 0.948050i \(0.603052\pi\)
\(390\) 34.9851 36.4234i 1.77154 1.84437i
\(391\) 0.606396 0.149463i 0.0306668 0.00755868i
\(392\) −5.88320 + 4.42094i −0.297147 + 0.223291i
\(393\) 25.2181 + 36.5347i 1.27208 + 1.84293i
\(394\) −12.4004 26.1333i −0.624723 1.31658i
\(395\) 40.8883 17.4209i 2.05731 0.876539i
\(396\) 11.4413 + 10.1361i 0.574949 + 0.509360i
\(397\) −17.1525 1.38469i −0.860858 0.0694957i −0.357852 0.933778i \(-0.616491\pi\)
−0.503006 + 0.864283i \(0.667773\pi\)
\(398\) 12.0277 + 6.31265i 0.602897 + 0.316424i
\(399\) −40.0547 + 58.0293i −2.00524 + 2.90510i
\(400\) −14.9422 51.5865i −0.747110 2.57932i
\(401\) −17.0001 10.7502i −0.848945 0.536840i 0.0377010 0.999289i \(-0.487997\pi\)
−0.886646 + 0.462449i \(0.846971\pi\)
\(402\) 31.7564 38.8946i 1.58387 1.93989i
\(403\) −0.256055 + 6.35393i −0.0127550 + 0.316512i
\(404\) −6.80717 + 14.3458i −0.338670 + 0.713731i
\(405\) −40.5809 + 6.59505i −2.01648 + 0.327710i
\(406\) 36.7504 + 12.2691i 1.82389 + 0.608904i
\(407\) −5.86830 20.2597i −0.290881 1.00424i
\(408\) 5.10200 5.31175i 0.252587 0.262971i
\(409\) −22.0585 + 31.9573i −1.09072 + 1.58019i −0.315022 + 0.949084i \(0.602012\pi\)
−0.775701 + 0.631101i \(0.782603\pi\)
\(410\) −42.8831 + 44.6461i −2.11785 + 2.20491i
\(411\) 23.9592 24.9441i 1.18182 1.23040i
\(412\) 4.12011 0.669584i 0.202983 0.0329880i
\(413\) 0.417627 0.511500i 0.0205501 0.0251693i
\(414\) −0.338504 + 0.490408i −0.0166366 + 0.0241022i
\(415\) 23.8574 + 21.1358i 1.17111 + 1.03752i
\(416\) 11.5084 + 16.6728i 0.564247 + 0.817453i
\(417\) −21.2232 + 22.0957i −1.03930 + 1.08203i
\(418\) 12.4464 42.9698i 0.608771 2.10172i
\(419\) 12.4041 4.14110i 0.605981 0.202306i 0.00291274 0.999996i \(-0.499073\pi\)
0.603068 + 0.797690i \(0.293945\pi\)
\(420\) 20.2369 + 69.8658i 0.987459 + 3.40910i
\(421\) −7.60781 13.1771i −0.370782 0.642213i 0.618904 0.785467i \(-0.287577\pi\)
−0.989686 + 0.143253i \(0.954244\pi\)
\(422\) −10.0980 + 5.29982i −0.491561 + 0.257991i
\(423\) −8.62215 2.87850i −0.419223 0.139957i
\(424\) 4.10349 7.10746i 0.199283 0.345169i
\(425\) 43.3589 + 45.1414i 2.10322 + 2.18968i
\(426\) 59.5000 9.66969i 2.88278 0.468498i
\(427\) 8.40260 + 14.5537i 0.406630 + 0.704304i
\(428\) 4.92330 24.1159i 0.237977 1.16569i
\(429\) −9.46610 + 19.9494i −0.457028 + 0.963166i
\(430\) 0.235350 0.407639i 0.0113496 0.0196581i
\(431\) 35.4813 + 2.86434i 1.70907 + 0.137971i 0.895960 0.444135i \(-0.146489\pi\)
0.813113 + 0.582106i \(0.197771\pi\)
\(432\) 0.165902 4.11681i 0.00798196 0.198070i
\(433\) 0.952955 2.51274i 0.0457961 0.120754i −0.910167 0.414242i \(-0.864047\pi\)
0.955963 + 0.293488i \(0.0948160\pi\)
\(434\) −16.8855 10.6778i −0.810531 0.512548i
\(435\) −28.1347 + 34.4588i −1.34896 + 1.65217i
\(436\) −2.05378 10.0601i −0.0983580 0.481790i
\(437\) 0.789144 + 0.128248i 0.0377499 + 0.00613495i
\(438\) 16.5496 + 10.4653i 0.790770 + 0.500053i
\(439\) 12.1444 + 12.6436i 0.579620 + 0.603448i 0.944864 0.327464i \(-0.106194\pi\)
−0.365244 + 0.930912i \(0.619014\pi\)
\(440\) 4.75457 + 6.88818i 0.226665 + 0.328381i
\(441\) 9.07506 + 31.3308i 0.432146 + 1.49194i
\(442\) −24.1931 12.6975i −1.15075 0.603960i
\(443\) 17.2023 + 2.79565i 0.817306 + 0.132825i 0.554671 0.832070i \(-0.312844\pi\)
0.262635 + 0.964895i \(0.415408\pi\)
\(444\) −13.9235 + 20.1717i −0.660782 + 0.957308i
\(445\) 0.929716 + 23.0707i 0.0440728 + 1.09365i
\(446\) −11.0436 29.1195i −0.522928 1.37885i
\(447\) −24.3010 12.7542i −1.14940 0.603251i
\(448\) −23.6813 + 1.91176i −1.11884 + 0.0903220i
\(449\) 2.16775 17.8530i 0.102302 0.842536i −0.847739 0.530413i \(-0.822037\pi\)
0.950042 0.312123i \(-0.101040\pi\)
\(450\) −59.5265 4.80548i −2.80611 0.226532i
\(451\) 11.6031 24.4530i 0.546369 1.15145i
\(452\) −0.147604 0.723014i −0.00694272 0.0340077i
\(453\) 0.000397382 0 0.000352050i 1.86706e−5 0 1.65407e-5i
\(454\) 13.2913 6.97579i 0.623790 0.327390i
\(455\) −41.3628 + 26.1563i −1.93912 + 1.22622i
\(456\) 8.67385 3.69558i 0.406190 0.173061i
\(457\) 1.17242 + 0.288976i 0.0548435 + 0.0135177i 0.266642 0.963796i \(-0.414086\pi\)
−0.211798 + 0.977313i \(0.567932\pi\)
\(458\) 6.45245 53.1407i 0.301503 2.48310i
\(459\) 2.05848 + 4.33816i 0.0960818 + 0.202488i
\(460\) 0.617332 0.546908i 0.0287832 0.0254997i
\(461\) 17.9281 21.9579i 0.834994 1.02268i −0.164347 0.986403i \(-0.552552\pi\)
0.999342 0.0362800i \(-0.0115508\pi\)
\(462\) −39.4083 57.0928i −1.83344 2.65620i
\(463\) 2.75077 + 22.6546i 0.127839 + 1.05285i 0.905554 + 0.424231i \(0.139456\pi\)
−0.777715 + 0.628617i \(0.783621\pi\)
\(464\) −13.0604 15.9961i −0.606314 0.742600i
\(465\) 18.3383 13.7803i 0.850419 0.639048i
\(466\) 26.1156 1.20978
\(467\) −0.321834 2.65054i −0.0148927 0.122652i 0.983366 0.181633i \(-0.0581382\pi\)
−0.998259 + 0.0589802i \(0.981215\pi\)
\(468\) 11.6036 2.86003i 0.536376 0.132205i
\(469\) −38.8982 + 29.2301i −1.79615 + 1.34972i
\(470\) 23.1952 + 14.6678i 1.06992 + 0.676574i
\(471\) 7.06041 7.35066i 0.325326 0.338701i
\(472\) −0.0837524 + 0.0279607i −0.00385502 + 0.00128699i
\(473\) −0.0411655 + 0.201642i −0.00189279 + 0.00927150i
\(474\) 48.6200 + 7.90152i 2.23319 + 0.362929i
\(475\) 28.4130 + 74.9188i 1.30368 + 3.43751i
\(476\) 33.2595 21.0320i 1.52445 0.964002i
\(477\) −23.0062 28.1775i −1.05338 1.29016i
\(478\) −11.0619 + 54.1849i −0.505961 + 2.47836i
\(479\) −6.54286 + 17.2521i −0.298951 + 0.788269i 0.698412 + 0.715696i \(0.253890\pi\)
−0.997363 + 0.0725733i \(0.976879\pi\)
\(480\) 20.3320 70.1941i 0.928023 3.20391i
\(481\) −15.6424 5.22219i −0.713230 0.238111i
\(482\) −5.60212 + 14.7716i −0.255170 + 0.672827i
\(483\) 0.927998 0.822135i 0.0422254 0.0374084i
\(484\) 1.24297 + 0.934035i 0.0564988 + 0.0424561i
\(485\) −23.9954 + 1.93710i −1.08957 + 0.0879594i
\(486\) −37.0847 15.8003i −1.68220 0.716716i
\(487\) −24.6175 18.4988i −1.11553 0.838263i −0.127390 0.991853i \(-0.540660\pi\)
−0.988135 + 0.153590i \(0.950917\pi\)
\(488\) 0.0904814 2.24527i 0.00409590 0.101639i
\(489\) −16.7564 + 5.59412i −0.757752 + 0.252975i
\(490\) −3.96539 98.4001i −0.179138 4.44526i
\(491\) 0.261887 0.904138i 0.0118188 0.0408032i −0.954392 0.298556i \(-0.903495\pi\)
0.966211 + 0.257753i \(0.0829821\pi\)
\(492\) −30.5384 + 7.52704i −1.37678 + 0.339345i
\(493\) 22.1411 + 9.43346i 0.997187 + 0.424862i
\(494\) −22.1208 27.0931i −0.995263 1.21898i
\(495\) 36.0201 8.87816i 1.61898 0.399044i
\(496\) 4.56490 + 9.62033i 0.204970 + 0.431966i
\(497\) −58.2237 4.70030i −2.61169 0.210837i
\(498\) 9.82800 + 33.9302i 0.440403 + 1.52045i
\(499\) 0.0861975 2.13897i 0.00385873 0.0957534i −0.996112 0.0880964i \(-0.971922\pi\)
0.999971 0.00765700i \(-0.00243732\pi\)
\(500\) 45.4119 + 15.1607i 2.03088 + 0.678007i
\(501\) −15.7821 + 22.8643i −0.705091 + 1.02150i
\(502\) 13.8958 2.25829i 0.620201 0.100792i
\(503\) −26.7265 23.6776i −1.19167 1.05573i −0.997197 0.0748243i \(-0.976160\pi\)
−0.194478 0.980907i \(-0.562301\pi\)
\(504\) 1.89452 6.54066i 0.0843888 0.291344i
\(505\) 19.2692 + 33.3753i 0.857469 + 1.48518i
\(506\) −0.393298 + 0.681211i −0.0174842 + 0.0302835i
\(507\) −6.77074 11.7273i −0.300699 0.520826i
\(508\) −8.39285 + 14.5368i −0.372372 + 0.644968i
\(509\) 8.52348 22.4746i 0.377797 0.996168i −0.602409 0.798187i \(-0.705793\pi\)
0.980206 0.197980i \(-0.0634382\pi\)
\(510\) 19.7146 + 96.5683i 0.872976 + 4.27612i
\(511\) −13.1440 13.6843i −0.581454 0.605358i
\(512\) 25.3155 + 13.2866i 1.11880 + 0.587191i
\(513\) 0.247510 + 6.14190i 0.0109278 + 0.271172i
\(514\) −49.2797 + 3.97827i −2.17363 + 0.175474i
\(515\) 4.34299 9.15266i 0.191375 0.403314i
\(516\) 0.211757 0.111139i 0.00932210 0.00489262i
\(517\) −11.6504 2.87156i −0.512383 0.126291i
\(518\) 38.7803 34.3563i 1.70391 1.50953i
\(519\) −1.84967 15.2334i −0.0811916 0.668673i
\(520\) 6.54385 0.286967
\(521\) −17.4937 + 13.1457i −0.766413 + 0.575922i −0.910435 0.413652i \(-0.864253\pi\)
0.144022 + 0.989575i \(0.453996\pi\)
\(522\) −21.7811 + 7.27158i −0.953331 + 0.318269i
\(523\) 8.75378 + 23.0818i 0.382776 + 1.00930i 0.978525 + 0.206127i \(0.0660861\pi\)
−0.595749 + 0.803171i \(0.703145\pi\)
\(524\) 6.34394 31.0747i 0.277136 1.35750i
\(525\) 117.858 + 39.3467i 5.14373 + 1.71723i
\(526\) −27.4388 20.6189i −1.19639 0.899029i
\(527\) −9.92113 7.45525i −0.432171 0.324756i
\(528\) 1.48886 + 36.9457i 0.0647943 + 1.60785i
\(529\) 21.1466 + 9.00972i 0.919417 + 0.391727i
\(530\) 47.0816 + 99.2223i 2.04509 + 4.30994i
\(531\) −0.0157587 + 0.391048i −0.000683869 + 0.0169700i
\(532\) 49.7226 8.08071i 2.15575 0.350343i
\(533\) −10.5808 18.3265i −0.458306 0.793809i
\(534\) −12.7949 + 22.1615i −0.553690 + 0.959020i
\(535\) −41.3813 43.0825i −1.78907 1.86262i
\(536\) 6.48499 0.523522i 0.280109 0.0226127i
\(537\) 38.5922 + 9.51212i 1.66538 + 0.410478i
\(538\) −0.347754 −0.0149928
\(539\) 15.2685 + 40.2596i 0.657659 + 1.73410i
\(540\) 5.06928 + 3.80932i 0.218147 + 0.163927i
\(541\) −21.0532 8.96993i −0.905148 0.385647i −0.111316 0.993785i \(-0.535507\pi\)
−0.793832 + 0.608138i \(0.791917\pi\)
\(542\) 10.6927 1.73773i 0.459291 0.0746421i
\(543\) 21.3891 + 22.2684i 0.917894 + 0.955629i
\(544\) −39.5364 −1.69511
\(545\) −22.9255 9.76763i −0.982020 0.418399i
\(546\) −54.2389 −2.32121
\(547\) 23.2843 2.20008i 0.995566 0.0940688i
\(548\) −24.7099 −1.05555
\(549\) −9.16302 3.90400i −0.391068 0.166619i
\(550\) −78.8326 −3.36143
\(551\) 21.3420 + 22.2194i 0.909202 + 0.946579i
\(552\) −0.163631 + 0.0265927i −0.00696461 + 0.00113186i
\(553\) −43.9123 18.7093i −1.86734 0.795600i
\(554\) −32.8231 24.6649i −1.39452 1.04791i
\(555\) 21.0945 + 55.6217i 0.895413 + 2.36101i
\(556\) 21.8881 0.928264
\(557\) 6.95578 + 1.71444i 0.294726 + 0.0726433i 0.383906 0.923372i \(-0.374579\pi\)
−0.0891805 + 0.996015i \(0.528425\pi\)
\(558\) 11.8023 0.952779i 0.499631 0.0403344i
\(559\) 0.111462 + 0.116045i 0.00471436 + 0.00490817i
\(560\) −40.9747 + 70.9703i −1.73150 + 2.99904i
\(561\) −21.5464 37.3194i −0.909688 1.57563i
\(562\) 31.5936 5.13446i 1.33270 0.216584i
\(563\) −1.71311 + 42.5105i −0.0721991 + 1.79160i 0.406527 + 0.913639i \(0.366740\pi\)
−0.478726 + 0.877964i \(0.658901\pi\)
\(564\) 5.97746 + 12.5972i 0.251697 + 0.530439i
\(565\) −1.64765 0.701997i −0.0693171 0.0295332i
\(566\) −1.23636 30.6799i −0.0519679 1.28957i
\(567\) 35.2987 + 26.5252i 1.48240 + 1.11395i
\(568\) 6.24418 + 4.69220i 0.262000 + 0.196880i
\(569\) 41.2844 + 13.7828i 1.73073 + 0.577804i 0.995037 0.0995078i \(-0.0317268\pi\)
0.735696 + 0.677311i \(0.236855\pi\)
\(570\) −25.2372 + 123.620i −1.05707 + 5.17787i
\(571\) −2.76358 7.28697i −0.115652 0.304950i 0.864674 0.502333i \(-0.167525\pi\)
−0.980326 + 0.197383i \(0.936756\pi\)
\(572\) 14.9637 4.99561i 0.625663 0.208877i
\(573\) 8.58030 6.44767i 0.358447 0.269355i
\(574\) 66.4835 2.77497
\(575\) −0.169818 1.39858i −0.00708191 0.0583248i
\(576\) 10.5398 9.33744i 0.439158 0.389060i
\(577\) 10.8159 + 2.66589i 0.450274 + 0.110982i 0.457930 0.888988i \(-0.348591\pi\)
−0.00765644 + 0.999971i \(0.502437\pi\)
\(578\) 18.2870 9.59775i 0.760638 0.399214i
\(579\) 4.45741 9.39379i 0.185244 0.390393i
\(580\) 31.6788 2.55738i 1.31539 0.106189i
\(581\) −1.37832 34.2027i −0.0571825 1.41897i
\(582\) −23.6243 12.3990i −0.979260 0.513956i
\(583\) −33.2635 34.6310i −1.37763 1.43427i
\(584\) 0.507492 + 2.48586i 0.0210002 + 0.102866i
\(585\) 10.2853 27.1201i 0.425245 1.12128i
\(586\) −0.210376 + 0.364383i −0.00869057 + 0.0150525i
\(587\) −3.87349 6.70909i −0.159876 0.276914i 0.774948 0.632025i \(-0.217776\pi\)
−0.934824 + 0.355112i \(0.884443\pi\)
\(588\) 25.0175 43.3317i 1.03171 1.78697i
\(589\) −7.94323 13.7581i −0.327295 0.566892i
\(590\) 0.328737 1.13493i 0.0135339 0.0467245i
\(591\) −26.6986 23.6529i −1.09823 0.972948i
\(592\) −27.2570 + 4.42970i −1.12026 + 0.182059i
\(593\) 22.7704 32.9886i 0.935067 1.35468i 7.84482e−5 1.00000i \(-0.499975\pi\)
0.934988 0.354678i \(-0.115410\pi\)
\(594\) −5.73645 1.91511i −0.235370 0.0785779i
\(595\) 3.84567 95.4293i 0.157657 3.91222i
\(596\) 5.45508 + 18.8331i 0.223449 + 0.771435i
\(597\) 16.6958 + 1.34782i 0.683313 + 0.0551627i
\(598\) 0.263644 + 0.555618i 0.0107812 + 0.0227209i
\(599\) −27.0321 + 6.66281i −1.10450 + 0.272235i −0.749086 0.662473i \(-0.769507\pi\)
−0.355416 + 0.934708i \(0.615661\pi\)
\(600\) −10.5076 12.8695i −0.428973 0.525396i
\(601\) −20.3911 8.68784i −0.831771 0.354384i −0.0662560 0.997803i \(-0.521105\pi\)
−0.765515 + 0.643418i \(0.777516\pi\)
\(602\) −0.490824 + 0.120977i −0.0200045 + 0.00493067i
\(603\) 8.02311 27.6990i 0.326726 1.12799i
\(604\) −1.52724e−5 0 0.000378981i −6.21425e−7 0 1.54205e-5i
\(605\) 3.57933 1.19496i 0.145520 0.0485819i
\(606\) −1.71984 + 42.6773i −0.0698635 + 1.73365i
\(607\) 4.02142 + 3.02190i 0.163224 + 0.122655i 0.679216 0.733939i \(-0.262320\pi\)
−0.515992 + 0.856594i \(0.672576\pi\)
\(608\) −46.5617 19.8381i −1.88833 0.804540i
\(609\) 47.6209 3.84435i 1.92969 0.155781i
\(610\) 24.0398 + 18.0647i 0.973342 + 0.731419i
\(611\) −7.02207 + 6.22101i −0.284083 + 0.251675i
\(612\) −8.27033 + 21.8071i −0.334308 + 0.881499i
\(613\) −18.5828 6.20384i −0.750551 0.250571i −0.0844450 0.996428i \(-0.526912\pi\)
−0.666105 + 0.745858i \(0.732040\pi\)
\(614\) −11.8907 + 41.0514i −0.479868 + 1.65670i
\(615\) −27.0689 + 71.3748i −1.09152 + 2.87811i
\(616\) 1.79799 8.80713i 0.0724430 0.354849i
\(617\) −13.0872 16.0289i −0.526870 0.645299i 0.440774 0.897618i \(-0.354704\pi\)
−0.967644 + 0.252319i \(0.918807\pi\)
\(618\) 9.48970 6.00092i 0.381732 0.241392i
\(619\) 0.398201 + 1.04997i 0.0160050 + 0.0422018i 0.942781 0.333414i \(-0.108201\pi\)
−0.926776 + 0.375616i \(0.877431\pi\)
\(620\) −16.1760 2.62885i −0.649642 0.105577i
\(621\) 0.0216189 0.105897i 0.000867538 0.00424948i
\(622\) −30.8826 + 10.3101i −1.23828 + 0.413398i
\(623\) 17.1775 17.8837i 0.688203 0.716496i
\(624\) 24.4338 + 15.4510i 0.978135 + 0.618535i
\(625\) 45.3943 34.1116i 1.81577 1.36446i
\(626\) −1.20435 + 0.296846i −0.0481356 + 0.0118643i
\(627\) −6.64931 54.7620i −0.265548 2.18698i
\(628\) −7.28163 −0.290569
\(629\) 25.7285 19.3337i 1.02586 0.770885i
\(630\) 57.6315 + 70.5858i 2.29610 + 2.81221i
\(631\) 0.358647 + 2.95373i 0.0142775 + 0.117586i 0.998105 0.0615321i \(-0.0195987\pi\)
−0.983828 + 0.179118i \(0.942676\pi\)
\(632\) 3.62564 + 5.25264i 0.144220 + 0.208939i
\(633\) −8.89385 + 10.8930i −0.353499 + 0.432957i
\(634\) 17.9065 15.8637i 0.711156 0.630029i
\(635\) 17.4646 + 36.8058i 0.693061 + 1.46059i
\(636\) −6.72591 + 55.3929i −0.266700 + 2.19647i
\(637\) 32.6862 + 8.05642i 1.29507 + 0.319207i
\(638\) −27.8861 + 11.8812i −1.10402 + 0.470380i
\(639\) 29.2605 18.5032i 1.15753 0.731976i
\(640\) 16.9712 8.90718i 0.670846 0.352087i
\(641\) −20.0481 17.7611i −0.791854 0.701522i 0.166833 0.985985i \(-0.446646\pi\)
−0.958687 + 0.284464i \(0.908184\pi\)
\(642\) −13.2429 64.8683i −0.522658 2.56015i
\(643\) −3.33850 + 7.03573i −0.131657 + 0.277462i −0.958564 0.284877i \(-0.908047\pi\)
0.826907 + 0.562339i \(0.190099\pi\)
\(644\) −0.882872 0.0712728i −0.0347900 0.00280854i
\(645\) 0.0699623 0.576191i 0.00275476 0.0226875i
\(646\) 68.0372 5.49253i 2.67689 0.216101i
\(647\) 0.630495 + 0.330909i 0.0247873 + 0.0130094i 0.477071 0.878865i \(-0.341698\pi\)
−0.452284 + 0.891874i \(0.649391\pi\)
\(648\) −2.09360 5.52037i −0.0822443 0.216860i
\(649\) 0.0208020 + 0.516196i 0.000816550 + 0.0202625i
\(650\) −35.0126 + 50.7245i −1.37331 + 1.98958i
\(651\) −24.3164 3.95180i −0.953034 0.154883i
\(652\) 11.1752 + 5.86517i 0.437653 + 0.229698i
\(653\) 3.29064 + 11.3606i 0.128773 + 0.444575i 0.998829 0.0483773i \(-0.0154050\pi\)
−0.870057 + 0.492952i \(0.835918\pi\)
\(654\) −15.6889 22.7293i −0.613486 0.888787i
\(655\) −53.3220 55.5141i −2.08346 2.16911i
\(656\) −29.9498 18.9391i −1.16934 0.739449i
\(657\) 11.1000 + 1.80392i 0.433051 + 0.0703776i
\(658\) −5.89546 28.8779i −0.229829 1.12578i
\(659\) −27.4336 + 33.6001i −1.06866 + 1.30887i −0.119934 + 0.992782i \(0.538268\pi\)
−0.948729 + 0.316092i \(0.897629\pi\)
\(660\) −48.0967 30.4145i −1.87216 1.18388i
\(661\) −4.47916 + 11.8106i −0.174219 + 0.459378i −0.993475 0.114050i \(-0.963618\pi\)
0.819256 + 0.573428i \(0.194387\pi\)
\(662\) 0.272100 6.75210i 0.0105755 0.262428i
\(663\) −33.5826 2.71107i −1.30424 0.105289i
\(664\) −2.28856 + 3.96389i −0.0888132 + 0.153829i
\(665\) 52.4124 110.457i 2.03246 4.28333i
\(666\) −6.14208 + 30.0859i −0.238001 + 1.16581i
\(667\) −0.270856 0.469137i −0.0104876 0.0181651i
\(668\) 19.5914 3.18391i 0.758013 0.123189i
\(669\) −26.6026 27.6963i −1.02852 1.07080i
\(670\) −43.5322 + 75.4000i −1.68180 + 2.91296i
\(671\) −12.4709 4.16341i −0.481436 0.160727i
\(672\) −69.4944 + 36.4735i −2.68081 + 1.40700i
\(673\) 9.93736 + 17.2120i 0.383057 + 0.663474i 0.991498 0.130125i \(-0.0415380\pi\)
−0.608441 + 0.793599i \(0.708205\pi\)
\(674\) −10.1763 35.1325i −0.391975 1.35325i
\(675\) 10.2744 3.43011i 0.395463 0.132025i
\(676\) −2.69159 + 9.29246i −0.103523 + 0.357402i
\(677\) −1.55936 + 1.62346i −0.0599309 + 0.0623947i −0.750493 0.660879i \(-0.770184\pi\)
0.690562 + 0.723273i \(0.257363\pi\)
\(678\) −1.12756 1.63355i −0.0433036 0.0627361i
\(679\) 19.3519 + 17.1443i 0.742658 + 0.657937i
\(680\) −7.25455 + 10.5100i −0.278199 + 0.403041i
\(681\) 11.7064 14.3377i 0.448589 0.549422i
\(682\) 15.4277 2.50724i 0.590757 0.0960073i
\(683\) −28.8021 + 29.9862i −1.10208 + 1.14739i −0.113996 + 0.993481i \(0.536365\pi\)
−0.988085 + 0.153907i \(0.950814\pi\)
\(684\) −20.6820 + 21.5322i −0.790795 + 0.823305i
\(685\) −34.0676 + 49.3554i −1.30165 + 1.88577i
\(686\) −32.1450 + 33.4664i −1.22730 + 1.27775i
\(687\) −18.3650 63.4032i −0.700667 2.41898i
\(688\) 0.255572 + 0.0853224i 0.00974358 + 0.00325288i
\(689\) −37.0568 + 6.02231i −1.41175 + 0.229432i
\(690\) 0.951031 2.00425i 0.0362051 0.0763007i
\(691\) 0.222858 5.53017i 0.00847793 0.210378i −0.989398 0.145231i \(-0.953607\pi\)
0.997876 0.0651466i \(-0.0207515\pi\)
\(692\) −6.93358 + 8.49209i −0.263575 + 0.322821i
\(693\) −33.6740 21.2941i −1.27917 0.808897i
\(694\) −17.0129 58.7354i −0.645802 2.22957i
\(695\) 30.1773 43.7193i 1.14469 1.65837i
\(696\) −5.65657 2.96879i −0.214412 0.112532i
\(697\) 41.1640 + 3.32310i 1.55920 + 0.125871i
\(698\) −14.0957 12.4877i −0.533531 0.472667i
\(699\) 29.6263 12.6226i 1.12057 0.477431i
\(700\) −38.0548 80.1987i −1.43834 3.03123i
\(701\) −19.5001 28.2507i −0.736507 1.06701i −0.994889 0.100972i \(-0.967805\pi\)
0.258382 0.966043i \(-0.416811\pi\)
\(702\) −3.78005 + 2.84052i −0.142669 + 0.107209i
\(703\) 40.0013 9.85943i 1.50868 0.371855i
\(704\) 12.8759 13.4053i 0.485281 0.505231i
\(705\) 33.4028 + 5.42849i 1.25802 + 0.204449i
\(706\) 17.2340 + 21.1079i 0.648612 + 0.794405i
\(707\) 11.5151 39.7546i 0.433068 1.49513i
\(708\) 0.449355 0.398094i 0.0168878 0.0149613i
\(709\) −15.0660 6.41900i −0.565814 0.241071i 0.0900663 0.995936i \(-0.471292\pi\)
−0.655880 + 0.754865i \(0.727702\pi\)
\(710\) −99.1433 + 33.0989i −3.72078 + 1.24218i
\(711\) 27.4675 6.77012i 1.03011 0.253899i
\(712\) −3.21938 + 0.793505i −0.120651 + 0.0297378i
\(713\) 0.0777151 + 0.268304i 0.00291045 + 0.0100480i
\(714\) 60.1294 87.1125i 2.25029 3.26010i
\(715\) 10.6523 36.7759i 0.398372 1.37534i
\(716\) −14.1983 24.5921i −0.530614 0.919051i
\(717\) 13.6405 + 66.8156i 0.509414 + 2.49527i
\(718\) −0.284709 7.06498i −0.0106252 0.263663i
\(719\) −9.30573 + 4.88403i −0.347045 + 0.182143i −0.629235 0.777215i \(-0.716632\pi\)
0.282190 + 0.959359i \(0.408939\pi\)
\(720\) −5.85440 48.2153i −0.218181 1.79688i
\(721\) −10.3201 + 3.44536i −0.384341 + 0.128312i
\(722\) 48.2495 + 16.1080i 1.79566 + 0.599479i
\(723\) 0.784414 + 19.4650i 0.0291727 + 0.723912i
\(724\) 0.888238 22.0414i 0.0330111 0.819162i
\(725\) 27.1452 47.0169i 1.00815 1.74617i
\(726\) 4.06065 + 1.00086i 0.150705 + 0.0371454i
\(727\) −4.08604 3.07046i −0.151543 0.113877i 0.522266 0.852782i \(-0.325087\pi\)
−0.673809 + 0.738905i \(0.735343\pi\)
\(728\) −4.86835 5.06849i −0.180433 0.187851i
\(729\) −19.6886 −0.729208
\(730\) −31.2351 13.3080i −1.15606 0.492553i
\(731\) −0.309946 + 0.0503711i −0.0114638 + 0.00186304i
\(732\) 5.41769 + 14.2853i 0.200244 + 0.527999i
\(733\) −9.88862 + 0.798292i −0.365244 + 0.0294856i −0.261727 0.965142i \(-0.584292\pi\)
−0.103518 + 0.994628i \(0.533010\pi\)
\(734\) 6.58814 + 11.4110i 0.243173 + 0.421187i
\(735\) −52.0587 109.711i −1.92022 4.04677i
\(736\) 0.711429 + 0.534604i 0.0262236 + 0.0197058i
\(737\) 7.61429 37.2972i 0.280476 1.37386i
\(738\) −31.5006 + 23.6711i −1.15955 + 0.871346i
\(739\) −22.9228 + 20.3078i −0.843229 + 0.747036i −0.969534 0.244956i \(-0.921227\pi\)
0.126305 + 0.991991i \(0.459688\pi\)
\(740\) 18.2192 38.3962i 0.669752 1.41147i
\(741\) −38.1896 20.0435i −1.40293 0.736315i
\(742\) 41.8252 110.284i 1.53545 4.04865i
\(743\) −21.7771 + 37.7191i −0.798925 + 1.38378i 0.121392 + 0.992605i \(0.461264\pi\)
−0.920317 + 0.391173i \(0.872069\pi\)
\(744\) 2.46567 + 2.18440i 0.0903960 + 0.0800839i
\(745\) 45.1381 + 15.0693i 1.65373 + 0.552097i
\(746\) −27.4466 2.21572i −1.00489 0.0811232i
\(747\) 12.8308 + 15.7149i 0.469454 + 0.574977i
\(748\) −8.56540 + 29.5712i −0.313182 + 1.08123i
\(749\) −2.58327 + 64.1031i −0.0943906 + 2.34228i
\(750\) 128.361 10.3624i 4.68708 0.378380i
\(751\) −6.06942 + 16.0038i −0.221476 + 0.583985i −0.998992 0.0448778i \(-0.985710\pi\)
0.777516 + 0.628863i \(0.216479\pi\)
\(752\) −5.57061 + 14.6885i −0.203139 + 0.535634i
\(753\) 14.6723 9.27822i 0.534689 0.338117i
\(754\) −4.74041 + 23.2201i −0.172636 + 0.845625i
\(755\) −0.000778031 0 0.000491997i −2.83154e−5 0 1.79056e-5i
\(756\) −0.820854 6.76034i −0.0298542 0.245871i
\(757\) −1.02016 1.24947i −0.0370784 0.0454128i 0.755733 0.654880i \(-0.227281\pi\)
−0.792811 + 0.609467i \(0.791383\pi\)
\(758\) −16.9017 + 20.7008i −0.613897 + 0.751888i
\(759\) −0.116915 + 0.962882i −0.00424375 + 0.0349504i
\(760\) −13.8172 + 8.73747i −0.501203 + 0.316941i
\(761\) 3.09215 + 15.1464i 0.112090 + 0.549055i 0.996590 + 0.0825141i \(0.0262950\pi\)
−0.884499 + 0.466541i \(0.845500\pi\)
\(762\) −5.44235 + 44.8218i −0.197156 + 1.62372i
\(763\) 9.49014 + 25.0235i 0.343566 + 0.905910i
\(764\) −7.56856 1.23001i −0.273821 0.0445002i
\(765\) 32.1550 + 46.5846i 1.16257 + 1.68427i
\(766\) 33.9169 + 5.51203i 1.22547 + 0.199158i
\(767\) 0.341383 + 0.215878i 0.0123266 + 0.00779489i
\(768\) 46.6075 + 3.76255i 1.68180 + 0.135769i
\(769\) −7.17245 + 35.1330i −0.258645 + 1.26693i 0.618149 + 0.786061i \(0.287883\pi\)
−0.876794 + 0.480867i \(0.840322\pi\)
\(770\) 83.3264 + 86.7520i 3.00288 + 3.12632i
\(771\) −53.9815 + 28.3317i −1.94410 + 1.02034i
\(772\) −7.04612 + 2.35234i −0.253595 + 0.0846625i
\(773\) 28.2463 + 40.9219i 1.01595 + 1.47186i 0.876365 + 0.481647i \(0.159961\pi\)
0.139584 + 0.990210i \(0.455423\pi\)
\(774\) 0.189484 0.232076i 0.00681086 0.00834179i
\(775\) −19.3926 + 20.1898i −0.696603 + 0.725240i
\(776\) −0.961807 3.32054i −0.0345269 0.119201i
\(777\) 27.3879 57.7188i 0.982536 2.07065i
\(778\) 10.3742 + 6.56026i 0.371934 + 0.235197i
\(779\) 46.8111 + 24.5683i 1.67718 + 0.880252i
\(780\) −40.9317 + 17.4394i −1.46559 + 0.624430i
\(781\) 36.5342 27.4537i 1.30730 0.982369i
\(782\) −1.18465 0.192524i −0.0423630 0.00688465i
\(783\) 3.11749 2.76186i 0.111410 0.0987007i
\(784\) 54.7337 13.4906i 1.95477 0.481809i
\(785\) −10.0392 + 14.5443i −0.358315 + 0.519108i
\(786\) −17.0642 83.5862i −0.608661 2.98142i
\(787\) 4.97037 + 40.9347i 0.177175 + 1.45917i 0.761774 + 0.647843i \(0.224329\pi\)
−0.584599 + 0.811322i \(0.698748\pi\)
\(788\) 1.02609 + 25.4622i 0.0365530 + 0.907054i
\(789\) −41.0933 10.1286i −1.46296 0.360587i
\(790\) −85.4098 −3.03874
\(791\) 0.682054 + 1.79843i 0.0242511 + 0.0639448i
\(792\) 2.28383 + 4.81307i 0.0811523 + 0.171025i
\(793\) −8.21776 + 6.17525i −0.291821 + 0.219289i
\(794\) 29.2814 + 15.3681i 1.03916 + 0.545392i
\(795\) 101.369 + 89.8047i 3.59517 + 3.18504i
\(796\) −7.56832 9.26951i −0.268252 0.328549i
\(797\) 3.69623 0.298390i 0.130927 0.0105695i −0.0148293 0.999890i \(-0.504720\pi\)
0.145756 + 0.989321i \(0.453438\pi\)
\(798\) 114.524 72.4207i 4.05411 2.56367i
\(799\) −2.20681 18.1747i −0.0780713 0.642975i
\(800\) −10.7502 + 88.5362i −0.380078 + 3.13023i
\(801\) −1.77148 + 14.5895i −0.0625922 + 0.515493i
\(802\) 21.9575 + 31.8109i 0.775345 + 1.12328i
\(803\) 14.7964 + 1.19449i 0.522155 + 0.0421527i
\(804\) −39.1683 + 20.5571i −1.38136 + 0.724994i
\(805\) −1.35958 + 1.66518i −0.0479189 + 0.0586899i
\(806\) 5.23876 11.0404i 0.184527 0.388883i
\(807\) −0.394503 + 0.168082i −0.0138872 + 0.00591677i
\(808\) −4.14246 + 3.66990i −0.145731 + 0.129106i
\(809\) −8.45037 41.3926i −0.297099 1.45529i −0.804693 0.593691i \(-0.797670\pi\)
0.507594 0.861596i \(-0.330535\pi\)
\(810\) 76.7120 + 18.9078i 2.69538 + 0.664353i
\(811\) 23.5751 + 49.6835i 0.827835 + 1.74462i 0.649064 + 0.760734i \(0.275161\pi\)
0.178771 + 0.983891i \(0.442788\pi\)
\(812\) −25.5485 22.6340i −0.896576 0.794297i
\(813\) 11.2902 7.13951i 0.395966 0.250393i
\(814\) −4.88578 + 40.2380i −0.171247 + 1.41034i
\(815\) 27.1223 14.2349i 0.950053 0.498626i
\(816\) −51.9031 + 22.1139i −1.81697 + 0.774140i
\(817\) −0.390295 0.0961992i −0.0136547 0.00336558i
\(818\) 63.0696 39.8828i 2.20518 1.39447i
\(819\) −28.6575 + 12.2098i −1.00137 + 0.426646i
\(820\) 50.1722 21.3764i 1.75209 0.746496i
\(821\) 19.5826 8.34337i 0.683438 0.291186i −0.0222050 0.999753i \(-0.507069\pi\)
0.705643 + 0.708568i \(0.250658\pi\)
\(822\) −61.1472 + 26.0524i −2.13275 + 0.908681i
\(823\) 23.4134 14.8057i 0.816138 0.516095i −0.0599749 0.998200i \(-0.519102\pi\)
0.876113 + 0.482105i \(0.160128\pi\)
\(824\) 1.41254 + 0.348161i 0.0492083 + 0.0121288i
\(825\) −89.4302 + 38.1026i −3.11356 + 1.32656i
\(826\) −1.12362 + 0.589721i −0.0390957 + 0.0205190i
\(827\) 2.44565 20.1417i 0.0850435 0.700397i −0.886366 0.462986i \(-0.846778\pi\)
0.971409 0.237411i \(-0.0762988\pi\)
\(828\) 0.443690 0.280573i 0.0154193 0.00975057i
\(829\) 29.2525 + 25.9155i 1.01598 + 0.900082i 0.995018 0.0996987i \(-0.0317879\pi\)
0.0209644 + 0.999780i \(0.493326\pi\)
\(830\) −26.2578 55.3372i −0.911422 1.92078i
\(831\) −49.1569 12.1161i −1.70524 0.420303i
\(832\) −2.90687 14.2388i −0.100777 0.493641i
\(833\) −49.1754 + 43.5656i −1.70383 + 1.50946i
\(834\) 54.1646 23.0774i 1.87557 0.799104i
\(835\) 20.6512 43.5214i 0.714663 1.50612i
\(836\) −24.9253 + 30.5279i −0.862058 + 1.05583i
\(837\) −1.90163 + 0.998053i −0.0657300 + 0.0344977i
\(838\) −25.0489 2.02216i −0.865300 0.0698542i
\(839\) 19.3066 + 27.9705i 0.666539 + 0.965648i 0.999740 + 0.0227925i \(0.00725569\pi\)
−0.333201 + 0.942856i \(0.608129\pi\)
\(840\) −3.05575 + 25.1663i −0.105433 + 0.868321i
\(841\) −0.979354 + 8.06571i −0.0337708 + 0.278128i
\(842\) 3.52449 + 29.0268i 0.121462 + 1.00033i
\(843\) 33.3591 21.0950i 1.14895 0.726551i
\(844\) 10.0142 0.808428i 0.344702 0.0278272i
\(845\) 14.8498 + 18.1877i 0.510849 + 0.625677i
\(846\) 13.0752 + 11.5836i 0.449533 + 0.398251i
\(847\) −3.58841 1.88335i −0.123299 0.0647125i
\(848\) −50.2581 + 37.7665i −1.72587 + 1.29691i
\(849\) −16.2312 34.2066i −0.557055 1.17397i
\(850\) −42.6530 112.467i −1.46299 3.85758i
\(851\) −0.724393 −0.0248319
\(852\) −51.5620 12.7089i −1.76648 0.435399i
\(853\) −0.343166 8.51557i −0.0117498 0.291567i −0.994372 0.105949i \(-0.966212\pi\)
0.982622 0.185619i \(-0.0594290\pi\)
\(854\) −3.89269 32.0592i −0.133205 1.09704i
\(855\) 14.4941 + 70.9967i 0.495687 + 2.42803i
\(856\) 4.87313 7.05994i 0.166560 0.241304i
\(857\) 6.24256 1.53865i 0.213242 0.0525594i −0.131248 0.991350i \(-0.541898\pi\)
0.344489 + 0.938790i \(0.388052\pi\)
\(858\) 31.7622 28.1388i 1.08434 0.960644i
\(859\) −5.60720 0.911259i −0.191315 0.0310918i 0.0639986 0.997950i \(-0.479615\pi\)
−0.255314 + 0.966858i \(0.582179\pi\)
\(860\) −0.331506 + 0.249111i −0.0113043 + 0.00849460i
\(861\) 75.4209 32.1339i 2.57034 1.09512i
\(862\) −60.5709 31.7901i −2.06305 1.08277i
\(863\) 37.3197 + 23.5995i 1.27038 + 0.803337i 0.987773 0.155900i \(-0.0498277\pi\)
0.282603 + 0.959237i \(0.408802\pi\)
\(864\) −2.93311 + 6.18140i −0.0997864 + 0.210295i
\(865\) 7.40273 + 25.5572i 0.251700 + 0.868970i
\(866\) −3.57746 + 3.72453i −0.121567 + 0.126565i
\(867\) 16.1064 19.7267i 0.547001 0.669955i
\(868\) 9.99808 + 14.4847i 0.339357 + 0.491643i
\(869\) 35.4213 11.8254i 1.20158 0.401148i
\(870\) 75.6962 39.7284i 2.56634 1.34692i
\(871\) −20.6170 21.4645i −0.698579 0.727298i
\(872\) 0.715800 3.50622i 0.0242401 0.118736i
\(873\) −15.2733 1.23299i −0.516922 0.0417302i
\(874\) −1.29855 0.821153i −0.0439241 0.0277759i
\(875\) −123.173 20.0176i −4.16401 0.676717i
\(876\) −9.79918 14.1966i −0.331084 0.479657i
\(877\) 16.0462 + 2.60777i 0.541843 + 0.0880581i 0.425172 0.905113i \(-0.360214\pi\)
0.116671 + 0.993171i \(0.462778\pi\)
\(878\) −11.9467 31.5008i −0.403181 1.06310i
\(879\) −0.0625383 + 0.515049i −0.00210936 + 0.0173722i
\(880\) −12.8243 62.8176i −0.432307 2.11758i
\(881\) 26.9105 17.0171i 0.906636 0.573322i 0.00223137 0.999998i \(-0.499290\pi\)
0.904405 + 0.426676i \(0.140315\pi\)
\(882\) 7.55565 62.2264i 0.254412 2.09527i
\(883\) −32.6750 + 40.0196i −1.09960 + 1.34677i −0.166957 + 0.985964i \(0.553394\pi\)
−0.932643 + 0.360801i \(0.882503\pi\)
\(884\) 15.2232 + 18.6451i 0.512013 + 0.627102i
\(885\) −0.175624 1.44639i −0.00590354 0.0486200i
\(886\) −28.3067 17.9001i −0.950981 0.601364i
\(887\) 9.28371 45.4746i 0.311716 1.52689i −0.458262 0.888817i \(-0.651528\pi\)
0.769978 0.638070i \(-0.220267\pi\)
\(888\) −7.22013 + 4.56574i −0.242292 + 0.153216i
\(889\) 15.5148 40.9090i 0.520348 1.37204i
\(890\) 15.7342 41.4877i 0.527411 1.39067i
\(891\) −34.4320 + 2.77964i −1.15351 + 0.0931213i
\(892\) −1.10474 + 27.4139i −0.0369895 + 0.917886i
\(893\) 6.52054 22.5115i 0.218202 0.753319i
\(894\) 33.3555 + 40.8531i 1.11558 + 1.36633i
\(895\) −68.6954 5.54567i −2.29623 0.185371i
\(896\) −19.5249 6.51835i −0.652280 0.217763i
\(897\) 0.567636 + 0.502881i 0.0189528 + 0.0167907i
\(898\) −17.2801 + 29.9301i −0.576645 + 0.998779i
\(899\) −3.81702 + 10.0646i −0.127305 + 0.335675i
\(900\) 46.5851 + 24.4497i 1.55284 + 0.814992i
\(901\) 31.4089 66.1929i 1.04638 2.20520i
\(902\) −38.9326 + 34.4913i −1.29632 + 1.14844i
\(903\) −0.498333 + 0.374473i −0.0165835 + 0.0124617i
\(904\) 0.0514444 0.251991i 0.00171101 0.00838111i
\(905\) −42.8008 32.1627i −1.42275 1.06912i
\(906\) −0.000437364 0 0.000921726i −1.45305e−5 0 3.06223e-5i
\(907\) 1.83284 + 3.17457i 0.0608585 + 0.105410i 0.894849 0.446368i \(-0.147283\pi\)
−0.833991 + 0.551778i \(0.813950\pi\)
\(908\) −13.1810 + 1.06408i −0.437426 + 0.0353127i
\(909\) 8.69848 + 22.9360i 0.288510 + 0.760739i
\(910\) 92.8286 15.0861i 3.07724 0.500100i
\(911\) 0.191428 + 0.0815599i 0.00634229 + 0.00270220i 0.395135 0.918623i \(-0.370698\pi\)
−0.388793 + 0.921325i \(0.627108\pi\)
\(912\) −72.2219 −2.39151
\(913\) 18.5514 + 19.3140i 0.613960 + 0.639200i
\(914\) −1.85509 1.39401i −0.0613609 0.0461097i
\(915\) 36.0028 + 8.87389i 1.19022 + 0.293362i
\(916\) −23.5795 + 40.8409i −0.779089 + 1.34942i
\(917\) −3.32868 + 82.6003i −0.109923 + 2.72770i
\(918\) −0.371558 9.22012i −0.0122632 0.304309i
\(919\) −15.3430 5.12225i −0.506119 0.168967i 0.0521309 0.998640i \(-0.483399\pi\)
−0.558250 + 0.829673i \(0.688527\pi\)
\(920\) 0.272655 0.0910256i 0.00898917 0.00300103i
\(921\) 6.35245 + 52.3171i 0.209320 + 1.72391i
\(922\) −48.2353 + 25.3159i −1.58855 + 0.833733i
\(923\) −1.43870 35.7010i −0.0473554 1.17511i
\(924\) 12.2246 + 59.8801i 0.402160 + 1.96991i
\(925\) −36.2993 62.8723i −1.19352 2.06723i
\(926\) 12.2013 42.1238i 0.400959 1.38427i
\(927\) 3.66307 5.30688i 0.120311 0.174301i
\(928\) 9.54085 + 32.9388i 0.313194 + 1.08127i
\(929\) 11.7641 2.89959i 0.385968 0.0951325i −0.0415570 0.999136i \(-0.513232\pi\)
0.427525 + 0.904004i \(0.359386\pi\)
\(930\) −42.8008 + 10.5495i −1.40349 + 0.345930i
\(931\) −79.7732 + 26.6322i −2.61446 + 0.872836i
\(932\) −21.1659 9.01795i −0.693313 0.295393i
\(933\) −30.0509 + 26.6228i −0.983822 + 0.871591i
\(934\) −1.42753 + 4.92839i −0.0467101 + 0.161262i
\(935\) 47.2562 + 57.8784i 1.54544 + 1.89283i
\(936\) 4.11128 + 0.668149i 0.134382 + 0.0218391i
\(937\) −21.0197 + 21.8838i −0.686684 + 0.714913i −0.969726 0.244194i \(-0.921477\pi\)
0.283043 + 0.959107i \(0.408656\pi\)
\(938\) 90.7867 22.3769i 2.96429 0.730632i
\(939\) −1.22278 + 0.918857i −0.0399038 + 0.0299858i
\(940\) −13.7341 19.8973i −0.447958 0.648979i
\(941\) 10.2411 + 21.5827i 0.333851 + 0.703576i 0.999072 0.0430703i \(-0.0137139\pi\)
−0.665221 + 0.746647i \(0.731663\pi\)
\(942\) −18.0192 + 7.67725i −0.587096 + 0.250138i
\(943\) −0.695782 0.616409i −0.0226578 0.0200730i
\(944\) 0.674168 + 0.0544244i 0.0219423 + 0.00177136i
\(945\) −14.6348 7.68093i −0.476070 0.249861i
\(946\) 0.224663 0.325481i 0.00730444 0.0105823i
\(947\) −10.9905 37.9437i −0.357144 1.23301i −0.915131 0.403156i \(-0.867913\pi\)
0.557987 0.829850i \(-0.311574\pi\)
\(948\) −36.6766 23.1929i −1.19120 0.753269i
\(949\) 7.34025 8.99018i 0.238275 0.291834i
\(950\) 6.20007 153.853i 0.201157 4.99166i
\(951\) 12.6461 26.6511i 0.410079 0.864222i
\(952\) 13.5375 2.20006i 0.438754 0.0713044i
\(953\) −46.6143 15.5621i −1.50998 0.504107i −0.563295 0.826256i \(-0.690467\pi\)
−0.946689 + 0.322149i \(0.895595\pi\)
\(954\) 19.4489 + 67.1453i 0.629680 + 2.17391i
\(955\) −12.8916 + 13.4216i −0.417163 + 0.434313i
\(956\) 27.6759 40.0955i 0.895102 1.29678i
\(957\) −25.8923 + 26.9567i −0.836978 + 0.871387i
\(958\) 24.5624 25.5722i 0.793575 0.826199i
\(959\) 63.5726 10.3316i 2.05287 0.333623i
\(960\) −33.1542 + 40.6066i −1.07005 + 1.31057i
\(961\) −14.4570 + 20.9445i −0.466354 + 0.675630i
\(962\) 23.7210 + 21.0150i 0.764797 + 0.677551i
\(963\) −21.5996 31.2925i −0.696038 1.00839i
\(964\) 9.64111 10.0375i 0.310519 0.323285i
\(965\) −5.01595 + 17.3171i −0.161469 + 0.557456i
\(966\) −2.25991 + 0.754467i −0.0727113 + 0.0242746i
\(967\) 7.85817 + 27.1296i 0.252702 + 0.872428i 0.982103 + 0.188342i \(0.0603114\pi\)
−0.729402 + 0.684086i \(0.760201\pi\)
\(968\) 0.270947 + 0.469293i 0.00870855 + 0.0150837i
\(969\) 74.5288 39.1157i 2.39421 1.25658i
\(970\) 43.8812 + 14.6497i 1.40894 + 0.470374i
\(971\) 17.7567 30.7555i 0.569839 0.986990i −0.426742 0.904373i \(-0.640339\pi\)
0.996581 0.0826171i \(-0.0263279\pi\)
\(972\) 24.6000 + 25.6114i 0.789047 + 0.821485i
\(973\) −56.3131 + 9.15176i −1.80531 + 0.293392i
\(974\) 29.5879 + 51.2477i 0.948056 + 1.64208i
\(975\) −15.2024 + 74.4663i −0.486867 + 2.38483i
\(976\) −7.37909 + 15.5511i −0.236199 + 0.497779i
\(977\) −5.20483 + 9.01502i −0.166517 + 0.288416i −0.937193 0.348811i \(-0.886585\pi\)
0.770676 + 0.637227i \(0.219919\pi\)
\(978\) 33.8379 + 2.73168i 1.08202 + 0.0873495i
\(979\) −0.781160 + 19.3843i −0.0249660 + 0.619525i
\(980\) −30.7646 + 81.1196i −0.982740 + 2.59127i
\(981\) −13.4060 8.47744i −0.428021 0.270664i
\(982\) −1.14404 + 1.40119i −0.0365076 + 0.0447137i
\(983\) 3.89065 + 19.0577i 0.124092 + 0.607845i 0.993508 + 0.113763i \(0.0362905\pi\)
−0.869415 + 0.494082i \(0.835504\pi\)
\(984\) −10.8201 1.75844i −0.344932 0.0560569i
\(985\) 52.2729 + 33.0553i 1.66555 + 1.05323i
\(986\) −32.0383 33.3554i −1.02031 1.06225i
\(987\) −20.6457 29.9105i −0.657160 0.952060i
\(988\) 8.57278 + 29.5967i 0.272736 + 0.941596i
\(989\) 0.00625836 + 0.00328464i 0.000199004 + 0.000104446i
\(990\) −70.3685 11.4360i −2.23646 0.363460i
\(991\) −13.3573 + 19.3514i −0.424309 + 0.614718i −0.975589 0.219602i \(-0.929524\pi\)
0.551281 + 0.834320i \(0.314139\pi\)
\(992\) −0.712020 17.6686i −0.0226067 0.560979i
\(993\) −2.95485 7.79130i −0.0937694 0.247250i
\(994\) 99.3950 + 52.1665i 3.15262 + 1.65462i
\(995\) −28.9493 + 2.33703i −0.917756 + 0.0740889i
\(996\) 3.75110 30.8931i 0.118858 0.978885i
\(997\) 50.6576 + 4.08950i 1.60434 + 0.129516i 0.849933 0.526890i \(-0.176642\pi\)
0.754408 + 0.656406i \(0.227924\pi\)
\(998\) −1.76356 + 3.71662i −0.0558245 + 0.117648i
\(999\) −1.11403 5.45689i −0.0352464 0.172648i
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 \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 547.2.j.a.11.9 1080
547.199 even 39 inner 547.2.j.a.199.9 yes 1080
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
547.2.j.a.11.9 1080 1.1 even 1 trivial
547.2.j.a.199.9 yes 1080 547.199 even 39 inner