Properties

Label 605.2.s.b.16.13
Level $605$
Weight $2$
Character 605.16
Analytic conductor $4.831$
Analytic rank $0$
Dimension $880$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 605 = 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 605.s (of order \(55\), degree \(40\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.83094932229\)
Analytic rank: \(0\)
Dimension: \(880\)
Relative dimension: \(22\) over \(\Q(\zeta_{55})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label 16.13
Character \(\chi\) \(=\) 605.16
Dual form 605.2.s.b.416.13

$q$-expansion

\(f(q)\) \(=\) \(q+(0.742152 + 0.0851540i) q^{2} +(0.230756 + 0.167654i) q^{3} +(-1.40448 - 0.326599i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(0.156980 + 0.144075i) q^{6} +(0.473372 + 0.487088i) q^{7} +(-2.42169 - 0.864056i) q^{8} +(-0.901911 - 2.77580i) q^{9} +O(q^{10})\) \(q+(0.742152 + 0.0851540i) q^{2} +(0.230756 + 0.167654i) q^{3} +(-1.40448 - 0.326599i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(0.156980 + 0.144075i) q^{6} +(0.473372 + 0.487088i) q^{7} +(-2.42169 - 0.864056i) q^{8} +(-0.901911 - 2.77580i) q^{9} +(-0.489195 + 0.564561i) q^{10} +(1.96261 - 2.67361i) q^{11} +(-0.269338 - 0.310832i) q^{12} +(3.10068 - 5.14191i) q^{13} +(0.309837 + 0.401803i) q^{14} +(-0.268642 + 0.0958514i) q^{15} +(0.864340 + 0.424968i) q^{16} +(-1.19068 + 0.973612i) q^{17} +(-0.432985 - 2.13686i) q^{18} +(0.461091 + 0.0263661i) q^{19} +(1.06235 - 0.975016i) q^{20} +(0.0275711 + 0.191761i) q^{21} +(1.68422 - 1.81710i) q^{22} +(0.0315878 - 0.219698i) q^{23} +(-0.413956 - 0.605392i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(2.73903 - 3.55204i) q^{26} +(0.521675 - 1.60555i) q^{27} +(-0.505761 - 0.838711i) q^{28} +(3.59889 - 9.24368i) q^{29} +(-0.207536 + 0.0482604i) q^{30} +(7.36953 + 3.11439i) q^{31} +(4.93138 + 3.16920i) q^{32} +(0.901124 - 0.287912i) q^{33} +(-0.966571 + 0.621177i) q^{34} +(-0.669269 + 0.115822i) q^{35} +(0.360148 + 4.19313i) q^{36} +(-0.0106008 + 0.123423i) q^{37} +(0.339955 + 0.0588315i) q^{38} +(1.57756 - 0.666683i) q^{39} +(2.08016 - 1.51132i) q^{40} +(-7.96216 + 4.49644i) q^{41} +(0.00413271 + 0.144664i) q^{42} +(-9.47245 + 2.78136i) q^{43} +(-3.62965 + 3.11406i) q^{44} +(2.80042 + 0.822277i) q^{45} +(0.0421511 - 0.160359i) q^{46} +(1.96893 - 9.71705i) q^{47} +(0.128204 + 0.242974i) q^{48} +(0.186718 - 6.53600i) q^{49} +(-0.189907 - 0.722480i) q^{50} +(-0.437986 + 0.0250449i) q^{51} +(-6.03420 + 6.20905i) q^{52} +(-8.61725 + 4.23681i) q^{53} +(0.523881 - 1.14714i) q^{54} +(1.09921 + 3.12918i) q^{55} +(-0.725487 - 1.58859i) q^{56} +(0.101979 + 0.0833880i) q^{57} +(3.45806 - 6.55376i) q^{58} +(-6.23543 - 3.52131i) q^{59} +(0.408609 - 0.0468835i) q^{60} +(3.34920 - 0.384285i) q^{61} +(5.20411 + 2.93890i) q^{62} +(0.925118 - 1.75329i) q^{63} +(1.89871 + 1.55257i) q^{64} +(2.49434 + 5.46184i) q^{65} +(0.693288 - 0.136940i) q^{66} +(-1.32801 + 2.90794i) q^{67} +(1.99027 - 0.978549i) q^{68} +(0.0441223 - 0.0454007i) q^{69} +(-0.506562 + 0.0289663i) q^{70} +(0.492892 + 1.87516i) q^{71} +(-0.214298 + 7.50141i) q^{72} +(-2.45507 - 4.65287i) q^{73} +(-0.0183774 + 0.0906960i) q^{74} +(0.0725107 - 0.275859i) q^{75} +(-0.638984 - 0.187623i) q^{76} +(2.23133 - 0.309649i) q^{77} +(1.22756 - 0.360445i) q^{78} +(0.168040 + 5.88216i) q^{79} +(-0.838670 + 0.473619i) q^{80} +(-6.69414 + 4.86358i) q^{81} +(-6.29203 + 2.65903i) q^{82} +(7.21701 + 1.24895i) q^{83} +(0.0239058 - 0.278330i) q^{84} +(-0.131620 - 1.53242i) q^{85} +(-7.26685 + 1.25758i) q^{86} +(2.38021 - 1.52967i) q^{87} +(-7.06296 + 4.77884i) q^{88} +(5.44962 + 3.50226i) q^{89} +(2.00832 + 0.848722i) q^{90} +(3.97234 - 0.923727i) q^{91} +(-0.116118 + 0.298246i) q^{92} +(1.17842 + 1.95419i) q^{93} +(2.28869 - 7.04387i) q^{94} +(-0.282024 + 0.365736i) q^{95} +(0.606615 + 1.55808i) q^{96} +(5.36102 + 7.84025i) q^{97} +(0.695140 - 4.83481i) q^{98} +(-9.19148 - 3.03643i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} + O(q^{10}) \) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} - 6q^{10} + 5q^{11} - 5q^{12} - 26q^{13} - 108q^{14} - 12q^{15} + 34q^{16} - q^{17} - 14q^{18} + q^{19} + 19q^{20} - 10q^{21} + 275q^{22} - 51q^{23} + 283q^{24} + 22q^{25} - 16q^{27} - 4q^{28} - 19q^{29} + q^{30} - 34q^{31} - 122q^{32} + 19q^{33} + 52q^{34} + 8q^{35} - 21q^{36} - 109q^{37} - 10q^{38} - 9q^{39} - 64q^{40} + 4q^{41} - 49q^{42} - 97q^{43} + 17q^{44} - 80q^{45} - 91q^{46} + 166q^{47} - 159q^{48} + 175q^{49} + 4q^{50} - 112q^{51} - 128q^{52} - 141q^{53} - 37q^{54} - 5q^{55} + 79q^{56} - 204q^{57} - 190q^{58} + 9q^{59} - 22q^{60} + 2q^{61} - 105q^{62} - q^{63} - 176q^{64} - 14q^{65} - 112q^{66} - 13q^{67} - 35q^{68} - 53q^{69} + 24q^{70} - 50q^{71} + 705q^{72} + q^{73} + 40q^{74} - q^{75} - 148q^{76} - 104q^{77} - 187q^{78} - 83q^{79} - q^{80} - 238q^{81} - 54q^{82} - 151q^{83} + 4q^{84} - 29q^{85} - 39q^{86} - 74q^{87} - 143q^{88} - 52q^{89} - 28q^{90} - 188q^{91} - 253q^{92} + 122q^{93} - 187q^{94} + 122q^{95} - 155q^{96} + 283q^{97} - 92q^{98} + 172q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{55}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.742152 + 0.0851540i 0.524781 + 0.0602130i 0.372334 0.928099i \(-0.378557\pi\)
0.152447 + 0.988312i \(0.451285\pi\)
\(3\) 0.230756 + 0.167654i 0.133227 + 0.0967951i 0.652403 0.757872i \(-0.273761\pi\)
−0.519176 + 0.854667i \(0.673761\pi\)
\(4\) −1.40448 0.326599i −0.702242 0.163299i
\(5\) −0.564443 + 0.825472i −0.252427 + 0.369162i
\(6\) 0.156980 + 0.144075i 0.0640867 + 0.0588182i
\(7\) 0.473372 + 0.487088i 0.178918 + 0.184102i 0.800658 0.599121i \(-0.204483\pi\)
−0.621741 + 0.783223i \(0.713574\pi\)
\(8\) −2.42169 0.864056i −0.856196 0.305490i
\(9\) −0.901911 2.77580i −0.300637 0.925265i
\(10\) −0.489195 + 0.564561i −0.154697 + 0.178530i
\(11\) 1.96261 2.67361i 0.591748 0.806123i
\(12\) −0.269338 0.310832i −0.0777511 0.0897295i
\(13\) 3.10068 5.14191i 0.859975 1.42611i −0.0442359 0.999021i \(-0.514085\pi\)
0.904211 0.427087i \(-0.140460\pi\)
\(14\) 0.309837 + 0.401803i 0.0828073 + 0.107386i
\(15\) −0.268642 + 0.0958514i −0.0693632 + 0.0247487i
\(16\) 0.864340 + 0.424968i 0.216085 + 0.106242i
\(17\) −1.19068 + 0.973612i −0.288782 + 0.236135i −0.766295 0.642489i \(-0.777902\pi\)
0.477513 + 0.878624i \(0.341538\pi\)
\(18\) −0.432985 2.13686i −0.102055 0.503664i
\(19\) 0.461091 + 0.0263661i 0.105782 + 0.00604881i 0.109899 0.993943i \(-0.464947\pi\)
−0.00411786 + 0.999992i \(0.501311\pi\)
\(20\) 1.06235 0.975016i 0.237549 0.218020i
\(21\) 0.0275711 + 0.191761i 0.00601651 + 0.0418457i
\(22\) 1.68422 1.81710i 0.359077 0.387407i
\(23\) 0.0315878 0.219698i 0.00658650 0.0458101i −0.986263 0.165182i \(-0.947179\pi\)
0.992850 + 0.119372i \(0.0380880\pi\)
\(24\) −0.413956 0.605392i −0.0844985 0.123575i
\(25\) −0.362808 0.931864i −0.0725615 0.186373i
\(26\) 2.73903 3.55204i 0.537169 0.696613i
\(27\) 0.521675 1.60555i 0.100396 0.308988i
\(28\) −0.505761 0.838711i −0.0955799 0.158501i
\(29\) 3.59889 9.24368i 0.668297 1.71651i −0.0288542 0.999584i \(-0.509186\pi\)
0.697151 0.716924i \(-0.254451\pi\)
\(30\) −0.207536 + 0.0482604i −0.0378907 + 0.00881110i
\(31\) 7.36953 + 3.11439i 1.32361 + 0.559361i 0.932562 0.361011i \(-0.117568\pi\)
0.391045 + 0.920372i \(0.372114\pi\)
\(32\) 4.93138 + 3.16920i 0.871752 + 0.560241i
\(33\) 0.901124 0.287912i 0.156866 0.0501191i
\(34\) −0.966571 + 0.621177i −0.165765 + 0.106531i
\(35\) −0.669269 + 0.115822i −0.113127 + 0.0195774i
\(36\) 0.360148 + 4.19313i 0.0600246 + 0.698854i
\(37\) −0.0106008 + 0.123423i −0.00174276 + 0.0202906i −0.997151 0.0754253i \(-0.975969\pi\)
0.995409 + 0.0957159i \(0.0305140\pi\)
\(38\) 0.339955 + 0.0588315i 0.0551479 + 0.00954373i
\(39\) 1.57756 0.666683i 0.252612 0.106755i
\(40\) 2.08016 1.51132i 0.328902 0.238961i
\(41\) −7.96216 + 4.49644i −1.24348 + 0.702226i −0.966009 0.258508i \(-0.916769\pi\)
−0.277472 + 0.960734i \(0.589497\pi\)
\(42\) 0.00413271 + 0.144664i 0.000637692 + 0.0223221i
\(43\) −9.47245 + 2.78136i −1.44454 + 0.424154i −0.907731 0.419553i \(-0.862187\pi\)
−0.536805 + 0.843707i \(0.680369\pi\)
\(44\) −3.62965 + 3.11406i −0.547190 + 0.469462i
\(45\) 2.80042 + 0.822277i 0.417462 + 0.122578i
\(46\) 0.0421511 0.160359i 0.00621484 0.0236437i
\(47\) 1.96893 9.71705i 0.287198 1.41738i −0.533396 0.845865i \(-0.679085\pi\)
0.820594 0.571511i \(-0.193643\pi\)
\(48\) 0.128204 + 0.242974i 0.0185047 + 0.0350703i
\(49\) 0.186718 6.53600i 0.0266741 0.933714i
\(50\) −0.189907 0.722480i −0.0268568 0.102174i
\(51\) −0.437986 + 0.0250449i −0.0613303 + 0.00350699i
\(52\) −6.03420 + 6.20905i −0.836793 + 0.861040i
\(53\) −8.61725 + 4.23681i −1.18367 + 0.581971i −0.923503 0.383592i \(-0.874687\pi\)
−0.260167 + 0.965564i \(0.583778\pi\)
\(54\) 0.523881 1.14714i 0.0712912 0.156106i
\(55\) 1.09921 + 3.12918i 0.148217 + 0.421938i
\(56\) −0.725487 1.58859i −0.0969473 0.212285i
\(57\) 0.101979 + 0.0833880i 0.0135075 + 0.0110450i
\(58\) 3.45806 6.55376i 0.454066 0.860550i
\(59\) −6.23543 3.52131i −0.811784 0.458435i 0.0291489 0.999575i \(-0.490720\pi\)
−0.840933 + 0.541140i \(0.817993\pi\)
\(60\) 0.408609 0.0468835i 0.0527512 0.00605264i
\(61\) 3.34920 0.384285i 0.428821 0.0492027i 0.103106 0.994670i \(-0.467122\pi\)
0.325716 + 0.945468i \(0.394395\pi\)
\(62\) 5.20411 + 2.93890i 0.660923 + 0.373240i
\(63\) 0.925118 1.75329i 0.116554 0.220894i
\(64\) 1.89871 + 1.55257i 0.237339 + 0.194071i
\(65\) 2.49434 + 5.46184i 0.309385 + 0.677458i
\(66\) 0.693288 0.136940i 0.0853379 0.0168562i
\(67\) −1.32801 + 2.90794i −0.162242 + 0.355261i −0.973241 0.229787i \(-0.926197\pi\)
0.810999 + 0.585048i \(0.198924\pi\)
\(68\) 1.99027 0.978549i 0.241355 0.118666i
\(69\) 0.0441223 0.0454007i 0.00531170 0.00546561i
\(70\) −0.506562 + 0.0289663i −0.0605458 + 0.00346213i
\(71\) 0.492892 + 1.87516i 0.0584955 + 0.222540i 0.989972 0.141260i \(-0.0451154\pi\)
−0.931477 + 0.363800i \(0.881479\pi\)
\(72\) −0.214298 + 7.50141i −0.0252553 + 0.884049i
\(73\) −2.45507 4.65287i −0.287344 0.544577i 0.697803 0.716290i \(-0.254161\pi\)
−0.985147 + 0.171712i \(0.945070\pi\)
\(74\) −0.0183774 + 0.0906960i −0.00213633 + 0.0105432i
\(75\) 0.0725107 0.275859i 0.00837282 0.0318535i
\(76\) −0.638984 0.187623i −0.0732965 0.0215218i
\(77\) 2.23133 0.309649i 0.254283 0.0352878i
\(78\) 1.22756 0.360445i 0.138994 0.0408123i
\(79\) 0.168040 + 5.88216i 0.0189059 + 0.661794i 0.952688 + 0.303951i \(0.0983059\pi\)
−0.933782 + 0.357843i \(0.883512\pi\)
\(80\) −0.838670 + 0.473619i −0.0937661 + 0.0529522i
\(81\) −6.69414 + 4.86358i −0.743793 + 0.540398i
\(82\) −6.29203 + 2.65903i −0.694838 + 0.293641i
\(83\) 7.21701 + 1.24895i 0.792170 + 0.137090i 0.552224 0.833696i \(-0.313779\pi\)
0.239946 + 0.970786i \(0.422870\pi\)
\(84\) 0.0239058 0.278330i 0.00260834 0.0303683i
\(85\) −0.131620 1.53242i −0.0142761 0.166214i
\(86\) −7.26685 + 1.25758i −0.783604 + 0.135608i
\(87\) 2.38021 1.52967i 0.255185 0.163997i
\(88\) −7.06296 + 4.77884i −0.752914 + 0.509426i
\(89\) 5.44962 + 3.50226i 0.577658 + 0.371238i 0.796607 0.604498i \(-0.206626\pi\)
−0.218948 + 0.975736i \(0.570263\pi\)
\(90\) 2.00832 + 0.848722i 0.211695 + 0.0894631i
\(91\) 3.97234 0.923727i 0.416414 0.0968329i
\(92\) −0.116118 + 0.298246i −0.0121061 + 0.0310942i
\(93\) 1.17842 + 1.95419i 0.122197 + 0.202641i
\(94\) 2.28869 7.04387i 0.236060 0.726519i
\(95\) −0.282024 + 0.365736i −0.0289351 + 0.0375237i
\(96\) 0.606615 + 1.55808i 0.0619124 + 0.159021i
\(97\) 5.36102 + 7.84025i 0.544329 + 0.796057i 0.995336 0.0964639i \(-0.0307532\pi\)
−0.451007 + 0.892520i \(0.648935\pi\)
\(98\) 0.695140 4.83481i 0.0702198 0.488389i
\(99\) −9.19148 3.03643i −0.923779 0.305173i
\(100\) 0.205212 + 1.42728i 0.0205212 + 0.142728i
\(101\) −0.834451 + 0.765852i −0.0830309 + 0.0762051i −0.716616 0.697468i \(-0.754310\pi\)
0.633585 + 0.773673i \(0.281583\pi\)
\(102\) −0.327185 0.0187091i −0.0323961 0.00185248i
\(103\) −0.323981 1.59891i −0.0319228 0.157545i 0.960950 0.276721i \(-0.0892477\pi\)
−0.992873 + 0.119175i \(0.961975\pi\)
\(104\) −11.9518 + 9.77292i −1.17197 + 0.958314i
\(105\) −0.173856 0.0854792i −0.0169666 0.00834191i
\(106\) −6.75609 + 2.41057i −0.656210 + 0.234135i
\(107\) 4.10635 + 5.32521i 0.396976 + 0.514807i 0.947389 0.320085i \(-0.103712\pi\)
−0.550413 + 0.834893i \(0.685530\pi\)
\(108\) −1.25706 + 2.08459i −0.120960 + 0.200590i
\(109\) 7.99296 + 9.22437i 0.765587 + 0.883535i 0.995981 0.0895628i \(-0.0285470\pi\)
−0.230394 + 0.973097i \(0.574002\pi\)
\(110\) 0.549319 + 2.41593i 0.0523755 + 0.230350i
\(111\) −0.0231386 + 0.0267033i −0.00219622 + 0.00253457i
\(112\) 0.202158 + 0.622178i 0.0191021 + 0.0587903i
\(113\) 19.4582 + 6.94266i 1.83047 + 0.653111i 0.994550 + 0.104262i \(0.0332482\pi\)
0.835922 + 0.548849i \(0.184934\pi\)
\(114\) 0.0685833 + 0.0705705i 0.00642341 + 0.00660953i
\(115\) 0.163525 + 0.150082i 0.0152488 + 0.0139952i
\(116\) −8.07356 + 11.8072i −0.749612 + 1.09627i
\(117\) −17.0694 3.96932i −1.57807 0.366964i
\(118\) −4.32779 3.14432i −0.398405 0.289458i
\(119\) −1.03787 0.119084i −0.0951412 0.0109164i
\(120\) 0.733389 0.0669489
\(121\) −3.29636 10.4945i −0.299669 0.954043i
\(122\) 2.51834 0.228000
\(123\) −2.59116 0.297308i −0.233637 0.0268074i
\(124\) −9.33323 6.78099i −0.838149 0.608951i
\(125\) 0.974012 + 0.226497i 0.0871183 + 0.0202585i
\(126\) 0.835878 1.22243i 0.0744660 0.108903i
\(127\) 9.28949 + 8.52582i 0.824309 + 0.756544i 0.972621 0.232397i \(-0.0746568\pi\)
−0.148312 + 0.988941i \(0.547384\pi\)
\(128\) −6.89388 7.09364i −0.609339 0.626995i
\(129\) −2.65213 0.946279i −0.233507 0.0833152i
\(130\) 1.38608 + 4.26592i 0.121567 + 0.374146i
\(131\) 12.2366 14.1218i 1.06911 1.23382i 0.0980058 0.995186i \(-0.468754\pi\)
0.971109 0.238638i \(-0.0767009\pi\)
\(132\) −1.35965 + 0.110062i −0.118342 + 0.00957970i
\(133\) 0.205425 + 0.237073i 0.0178126 + 0.0205568i
\(134\) −1.23321 + 2.04505i −0.106533 + 0.176665i
\(135\) 1.03088 + 1.33687i 0.0887241 + 0.115059i
\(136\) 3.72470 1.32897i 0.319390 0.113958i
\(137\) 7.23589 + 3.55765i 0.618204 + 0.303950i 0.723324 0.690509i \(-0.242614\pi\)
−0.105120 + 0.994460i \(0.533523\pi\)
\(138\) 0.0366115 0.0299371i 0.00311658 0.00254841i
\(139\) 0.0642212 + 0.316944i 0.00544718 + 0.0268829i 0.982714 0.185130i \(-0.0592707\pi\)
−0.977267 + 0.212013i \(0.931998\pi\)
\(140\) 0.977806 + 0.0559129i 0.0826397 + 0.00472551i
\(141\) 2.08344 1.91217i 0.175458 0.161034i
\(142\) 0.206124 + 1.43362i 0.0172975 + 0.120307i
\(143\) −7.66202 18.3815i −0.640731 1.53714i
\(144\) 0.400065 2.78251i 0.0333388 0.231876i
\(145\) 5.59903 + 8.18831i 0.464974 + 0.680002i
\(146\) −1.42582 3.66220i −0.118002 0.303086i
\(147\) 1.13887 1.47692i 0.0939327 0.121814i
\(148\) 0.0551985 0.169884i 0.00453729 0.0139643i
\(149\) −11.0243 18.2817i −0.903143 1.49769i −0.866976 0.498349i \(-0.833940\pi\)
−0.0361668 0.999346i \(-0.511515\pi\)
\(150\) 0.0773045 0.198555i 0.00631189 0.0162120i
\(151\) 11.4781 2.66912i 0.934075 0.217210i 0.268277 0.963342i \(-0.413546\pi\)
0.665798 + 0.746132i \(0.268091\pi\)
\(152\) −1.09384 0.462259i −0.0887219 0.0374942i
\(153\) 3.77643 + 2.42696i 0.305306 + 0.196208i
\(154\) 1.68235 0.0398005i 0.135568 0.00320721i
\(155\) −6.73052 + 4.32544i −0.540608 + 0.347428i
\(156\) −2.43340 + 0.421117i −0.194828 + 0.0337163i
\(157\) 0.956073 + 11.1314i 0.0763030 + 0.888379i 0.929988 + 0.367590i \(0.119817\pi\)
−0.853685 + 0.520790i \(0.825638\pi\)
\(158\) −0.376178 + 4.37977i −0.0299271 + 0.348435i
\(159\) −2.69880 0.467046i −0.214029 0.0370391i
\(160\) −5.39957 + 2.28188i −0.426873 + 0.180398i
\(161\) 0.121965 0.0886127i 0.00961218 0.00698366i
\(162\) −5.38223 + 3.03948i −0.422868 + 0.238804i
\(163\) 0.188957 + 6.61435i 0.0148002 + 0.518076i 0.972845 + 0.231457i \(0.0743493\pi\)
−0.958045 + 0.286618i \(0.907469\pi\)
\(164\) 12.6513 3.71475i 0.987898 0.290073i
\(165\) −0.270970 + 0.906363i −0.0210950 + 0.0705603i
\(166\) 5.24977 + 1.54147i 0.407461 + 0.119641i
\(167\) −2.49135 + 9.47808i −0.192786 + 0.733436i 0.798532 + 0.601952i \(0.205610\pi\)
−0.991318 + 0.131483i \(0.958026\pi\)
\(168\) 0.0989239 0.488209i 0.00763214 0.0376661i
\(169\) −10.7583 20.3892i −0.827560 1.56840i
\(170\) 0.0328099 1.14850i 0.00251640 0.0880856i
\(171\) −0.342676 1.30367i −0.0262051 0.0996945i
\(172\) 14.2123 0.812689i 1.08368 0.0619670i
\(173\) −11.2189 + 11.5439i −0.852954 + 0.877669i −0.993665 0.112382i \(-0.964152\pi\)
0.140711 + 0.990051i \(0.455061\pi\)
\(174\) 1.89673 0.932560i 0.143791 0.0706972i
\(175\) 0.282157 0.617838i 0.0213291 0.0467041i
\(176\) 2.83256 1.47686i 0.213512 0.111323i
\(177\) −0.848501 1.85796i −0.0637773 0.139653i
\(178\) 3.74622 + 3.06327i 0.280791 + 0.229601i
\(179\) 6.00905 11.3884i 0.449138 0.851211i −0.550726 0.834686i \(-0.685649\pi\)
0.999863 0.0165244i \(-0.00526011\pi\)
\(180\) −3.66459 2.06949i −0.273142 0.154251i
\(181\) −3.65490 + 0.419361i −0.271667 + 0.0311709i −0.248754 0.968567i \(-0.580021\pi\)
−0.0229125 + 0.999737i \(0.507294\pi\)
\(182\) 3.02674 0.347286i 0.224357 0.0257425i
\(183\) 0.837275 + 0.472831i 0.0618932 + 0.0349527i
\(184\) −0.266327 + 0.504745i −0.0196339 + 0.0372103i
\(185\) −0.0958987 0.0784160i −0.00705061 0.00576526i
\(186\) 0.708162 + 1.55066i 0.0519249 + 0.113700i
\(187\) 0.266227 + 5.09422i 0.0194685 + 0.372526i
\(188\) −5.93891 + 13.0044i −0.433139 + 0.948443i
\(189\) 1.02899 0.505921i 0.0748481 0.0368003i
\(190\) −0.240449 + 0.247416i −0.0174440 + 0.0179494i
\(191\) −24.9680 + 1.42772i −1.80662 + 0.103306i −0.927621 0.373522i \(-0.878150\pi\)
−0.878997 + 0.476828i \(0.841786\pi\)
\(192\) 0.177845 + 0.676592i 0.0128348 + 0.0488288i
\(193\) −0.263745 + 9.23229i −0.0189848 + 0.664555i 0.933257 + 0.359209i \(0.116954\pi\)
−0.952242 + 0.305345i \(0.901228\pi\)
\(194\) 3.31107 + 6.27517i 0.237721 + 0.450531i
\(195\) −0.340116 + 1.67854i −0.0243562 + 0.120203i
\(196\) −2.39689 + 9.11873i −0.171207 + 0.651338i
\(197\) −17.1698 5.04151i −1.22330 0.359193i −0.394581 0.918861i \(-0.629110\pi\)
−0.828717 + 0.559668i \(0.810929\pi\)
\(198\) −6.56292 3.03619i −0.466406 0.215773i
\(199\) −11.0524 + 3.24527i −0.783481 + 0.230051i −0.648922 0.760855i \(-0.724780\pi\)
−0.134559 + 0.990906i \(0.542962\pi\)
\(200\) 0.0734238 + 2.57017i 0.00519185 + 0.181738i
\(201\) −0.793974 + 0.448378i −0.0560026 + 0.0316261i
\(202\) −0.684505 + 0.497322i −0.0481616 + 0.0349914i
\(203\) 6.20610 2.62272i 0.435583 0.184079i
\(204\) 0.623324 + 0.107870i 0.0436414 + 0.00755244i
\(205\) 0.782504 9.11053i 0.0546524 0.636307i
\(206\) −0.104290 1.21422i −0.00726621 0.0845990i
\(207\) −0.638325 + 0.110467i −0.0443667 + 0.00767795i
\(208\) 4.86519 3.12667i 0.337340 0.216795i
\(209\) 0.975433 1.18103i 0.0674721 0.0816936i
\(210\) −0.121749 0.0782431i −0.00840145 0.00539929i
\(211\) −1.17134 0.495013i −0.0806385 0.0340781i 0.348578 0.937280i \(-0.386665\pi\)
−0.429216 + 0.903202i \(0.641210\pi\)
\(212\) 13.4865 3.13616i 0.926259 0.215392i
\(213\) −0.200640 + 0.515339i −0.0137476 + 0.0353104i
\(214\) 2.59407 + 4.30179i 0.177327 + 0.294064i
\(215\) 3.05072 9.38917i 0.208058 0.640336i
\(216\) −2.65062 + 3.43738i −0.180352 + 0.233884i
\(217\) 1.97155 + 5.06387i 0.133837 + 0.343758i
\(218\) 5.14650 + 7.52652i 0.348565 + 0.509760i
\(219\) 0.213551 1.48528i 0.0144304 0.100366i
\(220\) −0.521837 4.75388i −0.0351823 0.320507i
\(221\) 1.31431 + 9.14121i 0.0884099 + 0.614904i
\(222\) −0.0194462 + 0.0178476i −0.00130515 + 0.00119785i
\(223\) 23.9406 + 1.36897i 1.60318 + 0.0916733i 0.835623 0.549304i \(-0.185107\pi\)
0.767560 + 0.640977i \(0.221471\pi\)
\(224\) 0.790694 + 3.90223i 0.0528304 + 0.260728i
\(225\) −2.25944 + 1.84754i −0.150630 + 0.123169i
\(226\) 13.8497 + 6.80946i 0.921271 + 0.452958i
\(227\) 26.1784 9.34044i 1.73752 0.619947i 0.738970 0.673738i \(-0.235313\pi\)
0.998552 + 0.0537917i \(0.0171307\pi\)
\(228\) −0.115994 0.150423i −0.00768188 0.00996203i
\(229\) 2.51669 4.17346i 0.166307 0.275790i −0.762020 0.647554i \(-0.775792\pi\)
0.928327 + 0.371764i \(0.121247\pi\)
\(230\) 0.108580 + 0.125308i 0.00715957 + 0.00826258i
\(231\) 0.566806 + 0.302637i 0.0372931 + 0.0199121i
\(232\) −16.7024 + 19.2756i −1.09657 + 1.26551i
\(233\) 2.02094 + 6.21983i 0.132396 + 0.407474i 0.995176 0.0981059i \(-0.0312784\pi\)
−0.862779 + 0.505580i \(0.831278\pi\)
\(234\) −12.3301 4.39937i −0.806044 0.287596i
\(235\) 6.90980 + 7.11002i 0.450746 + 0.463806i
\(236\) 7.60751 + 6.98211i 0.495207 + 0.454497i
\(237\) −0.947391 + 1.38552i −0.0615397 + 0.0899989i
\(238\) −0.760115 0.176757i −0.0492710 0.0114575i
\(239\) −8.81050 6.40121i −0.569904 0.414060i 0.265166 0.964203i \(-0.414573\pi\)
−0.835070 + 0.550143i \(0.814573\pi\)
\(240\) −0.272932 0.0313160i −0.0176177 0.00202144i
\(241\) 17.3431 1.11717 0.558585 0.829447i \(-0.311345\pi\)
0.558585 + 0.829447i \(0.311345\pi\)
\(242\) −1.55276 8.06920i −0.0998149 0.518708i
\(243\) −7.42464 −0.476291
\(244\) −4.82941 0.554123i −0.309171 0.0354741i
\(245\) 5.28989 + 3.84333i 0.337959 + 0.245541i
\(246\) −1.89772 0.441296i −0.120994 0.0281360i
\(247\) 1.56527 2.28913i 0.0995957 0.145654i
\(248\) −15.1557 13.9098i −0.962387 0.883271i
\(249\) 1.45598 + 1.49816i 0.0922688 + 0.0949423i
\(250\) 0.703578 + 0.251036i 0.0444982 + 0.0158769i
\(251\) −4.18583 12.8827i −0.264207 0.813146i −0.991875 0.127217i \(-0.959396\pi\)
0.727668 0.685930i \(-0.240604\pi\)
\(252\) −1.87194 + 2.16033i −0.117921 + 0.136088i
\(253\) −0.525391 0.515633i −0.0330311 0.0324176i
\(254\) 6.16821 + 7.11849i 0.387028 + 0.446654i
\(255\) 0.226544 0.375681i 0.0141867 0.0235261i
\(256\) −7.50769 9.73615i −0.469231 0.608509i
\(257\) −11.6362 + 4.15180i −0.725848 + 0.258982i −0.673023 0.739622i \(-0.735004\pi\)
−0.0528254 + 0.998604i \(0.516823\pi\)
\(258\) −1.88771 0.928123i −0.117523 0.0577824i
\(259\) −0.0651360 + 0.0532615i −0.00404736 + 0.00330951i
\(260\) −1.71943 8.48572i −0.106635 0.526262i
\(261\) −28.9044 1.65282i −1.78914 0.102307i
\(262\) 10.2839 9.43850i 0.635343 0.583113i
\(263\) 1.91585 + 13.3250i 0.118137 + 0.821657i 0.959605 + 0.281351i \(0.0907826\pi\)
−0.841468 + 0.540306i \(0.818308\pi\)
\(264\) −2.43101 0.0813882i −0.149619 0.00500910i
\(265\) 1.36657 9.50474i 0.0839480 0.583871i
\(266\) 0.132269 + 0.193437i 0.00810993 + 0.0118604i
\(267\) 0.670365 + 1.72182i 0.0410256 + 0.105374i
\(268\) 2.81490 3.65043i 0.171947 0.222985i
\(269\) −5.83510 + 17.9586i −0.355772 + 1.09495i 0.599788 + 0.800159i \(0.295251\pi\)
−0.955560 + 0.294795i \(0.904749\pi\)
\(270\) 0.651231 + 1.07994i 0.0396326 + 0.0657233i
\(271\) 9.09284 23.3548i 0.552351 1.41870i −0.328135 0.944631i \(-0.606420\pi\)
0.880486 0.474071i \(-0.157216\pi\)
\(272\) −1.44290 + 0.335533i −0.0874889 + 0.0203447i
\(273\) 1.07151 + 0.452823i 0.0648506 + 0.0274061i
\(274\) 5.06718 + 3.25648i 0.306120 + 0.196731i
\(275\) −3.20349 0.858876i −0.193178 0.0517921i
\(276\) −0.0767969 + 0.0493544i −0.00462263 + 0.00297078i
\(277\) 26.5311 4.59138i 1.59410 0.275869i 0.696790 0.717275i \(-0.254611\pi\)
0.897308 + 0.441406i \(0.145520\pi\)
\(278\) 0.0206729 + 0.240690i 0.00123988 + 0.0144356i
\(279\) 1.99825 23.2652i 0.119632 1.39285i
\(280\) 1.72084 + 0.297802i 0.102840 + 0.0177971i
\(281\) 11.3311 4.78855i 0.675954 0.285661i −0.0241426 0.999709i \(-0.507686\pi\)
0.700097 + 0.714048i \(0.253140\pi\)
\(282\) 1.70906 1.24171i 0.101773 0.0739425i
\(283\) 21.0955 11.9132i 1.25400 0.708166i 0.285786 0.958293i \(-0.407745\pi\)
0.968213 + 0.250127i \(0.0804725\pi\)
\(284\) −0.0798355 2.79461i −0.00473736 0.165829i
\(285\) −0.126396 + 0.0371132i −0.00748704 + 0.00219839i
\(286\) −4.12113 14.2944i −0.243687 0.845243i
\(287\) −5.95923 1.74979i −0.351762 0.103287i
\(288\) 4.34940 16.5468i 0.256291 0.975031i
\(289\) −2.90625 + 14.3429i −0.170956 + 0.843699i
\(290\) 3.45806 + 6.55376i 0.203064 + 0.384850i
\(291\) −0.0773608 + 2.70798i −0.00453497 + 0.158745i
\(292\) 1.92848 + 7.33671i 0.112856 + 0.429349i
\(293\) −20.5738 + 1.17645i −1.20193 + 0.0687291i −0.646554 0.762868i \(-0.723791\pi\)
−0.555380 + 0.831597i \(0.687427\pi\)
\(294\) 0.970983 0.999118i 0.0566289 0.0582697i
\(295\) 6.42629 3.15959i 0.374153 0.183959i
\(296\) 0.132316 0.289732i 0.00769073 0.0168403i
\(297\) −3.26877 4.54582i −0.189673 0.263775i
\(298\) −6.62493 14.5066i −0.383772 0.840343i
\(299\) −1.03172 0.843634i −0.0596660 0.0487886i
\(300\) −0.191936 + 0.363758i −0.0110814 + 0.0210016i
\(301\) −5.83876 3.29730i −0.336541 0.190053i
\(302\) 8.74579 1.00349i 0.503264 0.0577441i
\(303\) −0.320953 + 0.0368259i −0.0184383 + 0.00211559i
\(304\) 0.387335 + 0.218738i 0.0222152 + 0.0125455i
\(305\) −1.57322 + 2.98158i −0.0900822 + 0.170725i
\(306\) 2.59602 + 2.12276i 0.148405 + 0.121350i
\(307\) −1.53034 3.35097i −0.0873409 0.191250i 0.860921 0.508738i \(-0.169888\pi\)
−0.948262 + 0.317488i \(0.897161\pi\)
\(308\) −3.23499 0.293851i −0.184331 0.0167437i
\(309\) 0.193303 0.423275i 0.0109966 0.0240793i
\(310\) −5.36340 + 2.63701i −0.304621 + 0.149772i
\(311\) −0.995074 + 1.02391i −0.0564255 + 0.0580605i −0.744757 0.667336i \(-0.767434\pi\)
0.688331 + 0.725397i \(0.258344\pi\)
\(312\) −4.39641 + 0.251396i −0.248898 + 0.0142325i
\(313\) 1.36776 + 5.20348i 0.0773101 + 0.294118i 0.994556 0.104203i \(-0.0332292\pi\)
−0.917246 + 0.398321i \(0.869593\pi\)
\(314\) −0.238328 + 8.34258i −0.0134496 + 0.470799i
\(315\) 0.925118 + 1.75329i 0.0521245 + 0.0987869i
\(316\) 1.68510 8.31628i 0.0947941 0.467827i
\(317\) −3.86180 + 14.6918i −0.216900 + 0.825174i 0.766276 + 0.642512i \(0.222108\pi\)
−0.983176 + 0.182662i \(0.941529\pi\)
\(318\) −1.96315 0.576433i −0.110088 0.0323248i
\(319\) −17.6508 27.7637i −0.988253 1.55447i
\(320\) −2.35332 + 0.690997i −0.131555 + 0.0386279i
\(321\) 0.0547720 + 1.91727i 0.00305708 + 0.107012i
\(322\) 0.0980623 0.0553783i 0.00546480 0.00308611i
\(323\) −0.574681 + 0.417530i −0.0319761 + 0.0232320i
\(324\) 10.9903 4.64452i 0.610570 0.258029i
\(325\) −5.91651 1.02389i −0.328189 0.0567953i
\(326\) −0.423004 + 4.92494i −0.0234280 + 0.272767i
\(327\) 0.297921 + 3.46863i 0.0164751 + 0.191816i
\(328\) 23.1670 4.00921i 1.27919 0.221372i
\(329\) 5.66509 3.64073i 0.312327 0.200720i
\(330\) −0.278281 + 0.649585i −0.0153189 + 0.0357585i
\(331\) 3.10178 + 1.99340i 0.170490 + 0.109567i 0.623103 0.782140i \(-0.285872\pi\)
−0.452613 + 0.891707i \(0.649508\pi\)
\(332\) −9.72828 4.11120i −0.533909 0.225632i
\(333\) 0.352158 0.0818909i 0.0192981 0.00448759i
\(334\) −2.65606 + 6.82203i −0.145333 + 0.373285i
\(335\) −1.65083 2.73760i −0.0901947 0.149571i
\(336\) −0.0576615 + 0.177464i −0.00314569 + 0.00968144i
\(337\) 4.14174 5.37111i 0.225615 0.292583i −0.665465 0.746429i \(-0.731767\pi\)
0.891080 + 0.453846i \(0.149948\pi\)
\(338\) −6.24806 16.0480i −0.339850 0.872897i
\(339\) 3.32613 + 4.86430i 0.180650 + 0.264193i
\(340\) −0.315629 + 2.19525i −0.0171174 + 0.119054i
\(341\) 22.7901 13.5909i 1.23415 0.735989i
\(342\) −0.143305 0.996705i −0.00774903 0.0538957i
\(343\) 6.77484 6.21790i 0.365807 0.335735i
\(344\) 25.3426 + 1.44914i 1.36638 + 0.0781324i
\(345\) 0.0125725 + 0.0620478i 0.000676882 + 0.00334054i
\(346\) −9.30911 + 7.61203i −0.500461 + 0.409225i
\(347\) 19.2691 + 9.47399i 1.03442 + 0.508590i 0.877779 0.479065i \(-0.159024\pi\)
0.156641 + 0.987656i \(0.449933\pi\)
\(348\) −3.84255 + 1.37102i −0.205982 + 0.0734943i
\(349\) 11.0713 + 14.3575i 0.592632 + 0.768538i 0.988736 0.149667i \(-0.0478202\pi\)
−0.396105 + 0.918205i \(0.629638\pi\)
\(350\) 0.262015 0.434503i 0.0140053 0.0232252i
\(351\) −6.63804 7.66071i −0.354312 0.408898i
\(352\) 18.1516 6.96467i 0.967481 0.371218i
\(353\) −3.55197 + 4.09919i −0.189052 + 0.218178i −0.842361 0.538914i \(-0.818835\pi\)
0.653309 + 0.757092i \(0.273380\pi\)
\(354\) −0.471504 1.45114i −0.0250602 0.0771273i
\(355\) −1.82610 0.651550i −0.0969192 0.0345807i
\(356\) −6.51007 6.69871i −0.345033 0.355031i
\(357\) −0.219529 0.201482i −0.0116187 0.0106636i
\(358\) 5.42940 7.94025i 0.286953 0.419655i
\(359\) −0.755870 0.175770i −0.0398933 0.00927679i 0.206503 0.978446i \(-0.433792\pi\)
−0.246396 + 0.969169i \(0.579246\pi\)
\(360\) −6.07124 4.41102i −0.319983 0.232481i
\(361\) −18.6642 2.14152i −0.982329 0.112712i
\(362\) −2.74821 −0.144443
\(363\) 0.998786 2.97431i 0.0524227 0.156111i
\(364\) −5.88078 −0.308236
\(365\) 5.22656 + 0.599692i 0.273571 + 0.0313893i
\(366\) 0.581122 + 0.422210i 0.0303757 + 0.0220693i
\(367\) 2.60248 + 0.605182i 0.135849 + 0.0315902i 0.293870 0.955846i \(-0.405057\pi\)
−0.158021 + 0.987436i \(0.550511\pi\)
\(368\) 0.120667 0.176470i 0.00629020 0.00919912i
\(369\) 19.6624 + 18.0459i 1.02358 + 0.939434i
\(370\) −0.0644940 0.0663628i −0.00335288 0.00345004i
\(371\) −6.14286 2.19177i −0.318922 0.113791i
\(372\) −1.01684 3.12951i −0.0527207 0.162257i
\(373\) 8.75228 10.1007i 0.453176 0.522993i −0.482480 0.875907i \(-0.660264\pi\)
0.935656 + 0.352914i \(0.114809\pi\)
\(374\) −0.236212 + 3.80336i −0.0122142 + 0.196667i
\(375\) 0.186786 + 0.215563i 0.00964559 + 0.0111316i
\(376\) −13.1642 + 21.8304i −0.678892 + 1.12582i
\(377\) −36.3711 47.1669i −1.87321 2.42922i
\(378\) 0.806749 0.287847i 0.0414947 0.0148053i
\(379\) 33.9003 + 16.6677i 1.74134 + 0.856160i 0.977552 + 0.210696i \(0.0675730\pi\)
0.763790 + 0.645464i \(0.223336\pi\)
\(380\) 0.515548 0.421561i 0.0264470 0.0216256i
\(381\) 0.714218 + 3.52480i 0.0365905 + 0.180581i
\(382\) −18.6516 1.06654i −0.954299 0.0545688i
\(383\) −16.2497 + 14.9138i −0.830319 + 0.762060i −0.973755 0.227600i \(-0.926912\pi\)
0.143436 + 0.989660i \(0.454185\pi\)
\(384\) −0.401528 2.79269i −0.0204904 0.142514i
\(385\) −1.00385 + 2.01668i −0.0511609 + 0.102779i
\(386\) −0.981906 + 6.82930i −0.0499777 + 0.347602i
\(387\) 16.2638 + 23.7850i 0.826735 + 1.20906i
\(388\) −4.96886 12.7624i −0.252256 0.647913i
\(389\) −17.7083 + 22.9645i −0.897845 + 1.16435i 0.0879047 + 0.996129i \(0.471983\pi\)
−0.985750 + 0.168217i \(0.946199\pi\)
\(390\) −0.395352 + 1.21677i −0.0200194 + 0.0616135i
\(391\) 0.176289 + 0.292343i 0.00891534 + 0.0147844i
\(392\) −6.09964 + 15.6668i −0.308078 + 0.791293i
\(393\) 5.19123 1.20717i 0.261863 0.0608936i
\(394\) −12.3133 5.20365i −0.620336 0.262156i
\(395\) −4.95040 3.18143i −0.249082 0.160075i
\(396\) 11.9176 + 7.26656i 0.598882 + 0.365158i
\(397\) 1.36368 0.876385i 0.0684413 0.0439845i −0.505973 0.862549i \(-0.668866\pi\)
0.574414 + 0.818565i \(0.305230\pi\)
\(398\) −8.47889 + 1.46733i −0.425008 + 0.0735506i
\(399\) 0.00765679 + 0.0891464i 0.000383319 + 0.00446290i
\(400\) 0.0824226 0.959629i 0.00412113 0.0479815i
\(401\) −23.2250 4.01924i −1.15980 0.200711i −0.442036 0.896997i \(-0.645744\pi\)
−0.717765 + 0.696286i \(0.754835\pi\)
\(402\) −0.627431 + 0.265154i −0.0312934 + 0.0132247i
\(403\) 38.8645 28.2367i 1.93598 1.40657i
\(404\) 1.42210 0.803097i 0.0707521 0.0399556i
\(405\) −0.236285 8.27104i −0.0117411 0.410991i
\(406\) 4.82921 1.41798i 0.239669 0.0703733i
\(407\) 0.309180 + 0.270573i 0.0153255 + 0.0134118i
\(408\) 1.08230 + 0.317793i 0.0535821 + 0.0157331i
\(409\) −1.69898 + 6.46357i −0.0840089 + 0.319603i −0.995858 0.0909226i \(-0.971018\pi\)
0.911849 + 0.410526i \(0.134655\pi\)
\(410\) 1.35654 6.69477i 0.0669945 0.330631i
\(411\) 1.07327 + 2.03407i 0.0529406 + 0.100334i
\(412\) −0.0671758 + 2.35146i −0.00330951 + 0.115848i
\(413\) −1.23649 4.70409i −0.0608437 0.231473i
\(414\) −0.483141 + 0.0276270i −0.0237451 + 0.00135779i
\(415\) −5.10457 + 5.25248i −0.250573 + 0.257834i
\(416\) 31.5864 15.5300i 1.54865 0.761420i
\(417\) −0.0383176 + 0.0839038i −0.00187642 + 0.00410879i
\(418\) 0.824489 0.793443i 0.0403271 0.0388086i
\(419\) −11.5084 25.1999i −0.562223 1.23110i −0.950836 0.309695i \(-0.899773\pi\)
0.388613 0.921401i \(-0.372954\pi\)
\(420\) 0.216260 + 0.176835i 0.0105524 + 0.00862868i
\(421\) 0.686819 1.30167i 0.0334735 0.0634394i −0.867127 0.498087i \(-0.834036\pi\)
0.900601 + 0.434647i \(0.143127\pi\)
\(422\) −0.827162 0.467120i −0.0402656 0.0227390i
\(423\) −28.7483 + 3.29856i −1.39779 + 0.160382i
\(424\) 24.5291 2.81445i 1.19124 0.136682i
\(425\) 1.33926 + 0.756315i 0.0649637 + 0.0366867i
\(426\) −0.192788 + 0.365375i −0.00934063 + 0.0177025i
\(427\) 1.77260 + 1.44945i 0.0857820 + 0.0701436i
\(428\) −4.02810 8.82031i −0.194706 0.426346i
\(429\) 1.31368 5.52622i 0.0634252 0.266808i
\(430\) 3.06363 6.70841i 0.147741 0.323508i
\(431\) 14.8495 7.30099i 0.715274 0.351676i −0.0470322 0.998893i \(-0.514976\pi\)
0.762306 + 0.647217i \(0.224067\pi\)
\(432\) 1.13321 1.16605i 0.0545217 0.0561015i
\(433\) −17.5657 + 1.00444i −0.844152 + 0.0482704i −0.473812 0.880626i \(-0.657122\pi\)
−0.370340 + 0.928896i \(0.620759\pi\)
\(434\) 1.03198 + 3.92605i 0.0495365 + 0.188456i
\(435\) −0.0807952 + 2.82820i −0.00387383 + 0.135602i
\(436\) −8.21333 15.5660i −0.393347 0.745475i
\(437\) 0.0203574 0.100468i 0.000973827 0.00480603i
\(438\) 0.284965 1.08412i 0.0136162 0.0518012i
\(439\) 12.9431 + 3.80044i 0.617741 + 0.181385i 0.575607 0.817727i \(-0.304766\pi\)
0.0421347 + 0.999112i \(0.486584\pi\)
\(440\) 0.0418429 8.52766i 0.00199478 0.406540i
\(441\) −18.3110 + 5.37659i −0.871952 + 0.256028i
\(442\) 0.197005 + 6.89609i 0.00937059 + 0.328013i
\(443\) −23.1759 + 13.0880i −1.10112 + 0.621832i −0.931523 0.363682i \(-0.881520\pi\)
−0.169598 + 0.985513i \(0.554247\pi\)
\(444\) 0.0412191 0.0299474i 0.00195617 0.00142124i
\(445\) −5.96701 + 2.52168i −0.282864 + 0.119539i
\(446\) 17.6510 + 3.05463i 0.835800 + 0.144641i
\(447\) 0.521084 6.06687i 0.0246464 0.286953i
\(448\) 0.142559 + 1.65978i 0.00673528 + 0.0784174i
\(449\) −33.4410 + 5.78720i −1.57818 + 0.273115i −0.891217 0.453578i \(-0.850147\pi\)
−0.686963 + 0.726692i \(0.741057\pi\)
\(450\) −1.83418 + 1.17875i −0.0864639 + 0.0555670i
\(451\) −3.60486 + 30.1124i −0.169746 + 1.41794i
\(452\) −25.0613 16.1059i −1.17878 0.757557i
\(453\) 3.09613 + 1.30844i 0.145469 + 0.0614757i
\(454\) 20.2237 4.70283i 0.949147 0.220715i
\(455\) −1.47965 + 3.80044i −0.0693670 + 0.178168i
\(456\) −0.174910 0.290055i −0.00819090 0.0135831i
\(457\) −0.689669 + 2.12258i −0.0322614 + 0.0992902i −0.965891 0.258951i \(-0.916623\pi\)
0.933629 + 0.358241i \(0.116623\pi\)
\(458\) 2.22315 2.88304i 0.103881 0.134715i
\(459\) 0.942036 + 2.41960i 0.0439705 + 0.112937i
\(460\) −0.180652 0.264194i −0.00842292 0.0123181i
\(461\) 2.95020 20.5191i 0.137405 0.955670i −0.798143 0.602468i \(-0.794184\pi\)
0.935547 0.353201i \(-0.114907\pi\)
\(462\) 0.394885 + 0.272869i 0.0183717 + 0.0126950i
\(463\) 3.87084 + 26.9223i 0.179893 + 1.25118i 0.857006 + 0.515306i \(0.172322\pi\)
−0.677113 + 0.735879i \(0.736769\pi\)
\(464\) 7.03893 6.46027i 0.326774 0.299911i
\(465\) −2.27829 0.130277i −0.105653 0.00604146i
\(466\) 0.970205 + 4.78815i 0.0449439 + 0.221807i
\(467\) 18.0291 14.7423i 0.834286 0.682192i −0.116110 0.993236i \(-0.537042\pi\)
0.950395 + 0.311044i \(0.100679\pi\)
\(468\) 22.6774 + 11.1497i 1.04826 + 0.515395i
\(469\) −2.04506 + 0.729678i −0.0944323 + 0.0336934i
\(470\) 4.52268 + 5.86511i 0.208616 + 0.270537i
\(471\) −1.64560 + 2.72892i −0.0758252 + 0.125742i
\(472\) 12.0577 + 13.9153i 0.554998 + 0.640502i
\(473\) −11.1544 + 30.7843i −0.512880 + 1.41547i
\(474\) −0.821091 + 0.947589i −0.0377139 + 0.0435242i
\(475\) −0.142718 0.439240i −0.00654834 0.0201537i
\(476\) 1.41878 + 0.506218i 0.0650295 + 0.0232025i
\(477\) 19.5325 + 20.0985i 0.894332 + 0.920246i
\(478\) −5.99365 5.50092i −0.274143 0.251606i
\(479\) 2.84161 4.15573i 0.129837 0.189880i −0.755076 0.655638i \(-0.772400\pi\)
0.884912 + 0.465758i \(0.154218\pi\)
\(480\) −1.62855 0.378703i −0.0743328 0.0172853i
\(481\) 0.601760 + 0.437204i 0.0274379 + 0.0199348i
\(482\) 12.8712 + 1.47684i 0.586269 + 0.0672681i
\(483\) 0.0430004 0.00195659
\(484\) 1.20220 + 15.8159i 0.0546457 + 0.718905i
\(485\) −9.49790 −0.431277
\(486\) −5.51021 0.632238i −0.249948 0.0286789i
\(487\) −17.4807 12.7005i −0.792128 0.575515i 0.116466 0.993195i \(-0.462843\pi\)
−0.908594 + 0.417680i \(0.862843\pi\)
\(488\) −8.44276 1.96328i −0.382186 0.0888735i
\(489\) −1.06532 + 1.55798i −0.0481754 + 0.0704543i
\(490\) 3.59863 + 3.30279i 0.162570 + 0.149205i
\(491\) 15.8512 + 16.3105i 0.715357 + 0.736085i 0.973164 0.230112i \(-0.0739091\pi\)
−0.257807 + 0.966196i \(0.583000\pi\)
\(492\) 3.54215 + 1.26384i 0.159692 + 0.0569781i
\(493\) 4.71463 + 14.5102i 0.212336 + 0.653504i
\(494\) 1.35660 1.56560i 0.0610362 0.0704395i
\(495\) 7.69456 5.87342i 0.345845 0.263990i
\(496\) 5.04627 + 5.82370i 0.226584 + 0.261492i
\(497\) −0.680045 + 1.12773i −0.0305042 + 0.0505855i
\(498\) 0.952982 + 1.23585i 0.0427041 + 0.0553797i
\(499\) 35.6870 12.7331i 1.59757 0.570012i 0.620737 0.784019i \(-0.286833\pi\)
0.976832 + 0.214007i \(0.0686515\pi\)
\(500\) −1.29401 0.636223i −0.0578700 0.0284527i
\(501\) −2.16393 + 1.76944i −0.0966773 + 0.0790527i
\(502\) −2.00951 9.91734i −0.0896890 0.442632i
\(503\) −4.91855 0.281253i −0.219307 0.0125405i −0.0529103 0.998599i \(-0.516850\pi\)
−0.166397 + 0.986059i \(0.553213\pi\)
\(504\) −3.75529 + 3.44657i −0.167274 + 0.153523i
\(505\) −0.161189 1.12110i −0.00717283 0.0498881i
\(506\) −0.346012 0.427417i −0.0153821 0.0190010i
\(507\) 0.935796 6.50860i 0.0415601 0.289057i
\(508\) −10.2624 15.0083i −0.455321 0.665886i
\(509\) −1.95131 5.01191i −0.0864905 0.222149i 0.881975 0.471296i \(-0.156214\pi\)
−0.968466 + 0.249147i \(0.919850\pi\)
\(510\) 0.200121 0.259522i 0.00886151 0.0114918i
\(511\) 1.10420 3.39837i 0.0488469 0.150335i
\(512\) 5.47330 + 9.07644i 0.241888 + 0.401126i
\(513\) 0.282872 0.726551i 0.0124891 0.0320780i
\(514\) −8.98940 + 2.09040i −0.396505 + 0.0922034i
\(515\) 1.50273 + 0.635057i 0.0662180 + 0.0279840i
\(516\) 3.41583 + 2.19522i 0.150373 + 0.0966391i
\(517\) −22.1153 24.3349i −0.972632 1.07025i
\(518\) −0.0528763 + 0.0339815i −0.00232325 + 0.00149306i
\(519\) −4.52421 + 0.782945i −0.198591 + 0.0343675i
\(520\) −1.32117 15.3821i −0.0579372 0.674550i
\(521\) −0.144568 + 1.68317i −0.00633363 + 0.0737411i −0.998816 0.0486458i \(-0.984509\pi\)
0.992482 + 0.122387i \(0.0390549\pi\)
\(522\) −21.3107 3.68797i −0.932746 0.161418i
\(523\) 16.3235 6.89836i 0.713776 0.301644i −0.00197668 0.999998i \(-0.500629\pi\)
0.715753 + 0.698354i \(0.246084\pi\)
\(524\) −21.7982 + 15.8373i −0.952260 + 0.691858i
\(525\) 0.168692 0.0952650i 0.00736234 0.00415770i
\(526\) 0.287173 + 10.0524i 0.0125213 + 0.438304i
\(527\) −11.8069 + 3.46683i −0.514318 + 0.151017i
\(528\) 0.901231 + 0.134094i 0.0392211 + 0.00583570i
\(529\) 22.0211 + 6.46597i 0.957438 + 0.281129i
\(530\) 1.82357 6.93759i 0.0792110 0.301350i
\(531\) −4.15063 + 20.4842i −0.180122 + 0.888938i
\(532\) −0.211088 0.400057i −0.00915185 0.0173447i
\(533\) −1.56787 + 54.8827i −0.0679121 + 2.37723i
\(534\) 0.350893 + 1.33494i 0.0151846 + 0.0577683i
\(535\) −6.71361 + 0.383898i −0.290255 + 0.0165974i
\(536\) 5.72865 5.89464i 0.247440 0.254610i
\(537\) 3.29594 1.62050i 0.142230 0.0699299i
\(538\) −5.85978 + 12.8311i −0.252633 + 0.553189i
\(539\) −17.1082 13.3268i −0.736904 0.574026i
\(540\) −1.01124 2.21430i −0.0435167 0.0952882i
\(541\) 9.56495 + 7.82122i 0.411229 + 0.336261i 0.815891 0.578206i \(-0.196247\pi\)
−0.404661 + 0.914467i \(0.632611\pi\)
\(542\) 8.73703 16.5585i 0.375288 0.711249i
\(543\) −0.913699 0.515989i −0.0392106 0.0221432i
\(544\) −8.95725 + 1.02775i −0.384039 + 0.0440644i
\(545\) −12.1260 + 1.39133i −0.519422 + 0.0595981i
\(546\) 0.756662 + 0.427307i 0.0323821 + 0.0182870i
\(547\) −10.6412 + 20.1673i −0.454985 + 0.862293i 0.544734 + 0.838609i \(0.316630\pi\)
−0.999719 + 0.0236839i \(0.992460\pi\)
\(548\) −9.00077 7.35990i −0.384494 0.314399i
\(549\) −4.08738 8.95010i −0.174445 0.381981i
\(550\) −2.30434 0.910206i −0.0982573 0.0388113i
\(551\) 1.90314 4.16729i 0.0810764 0.177532i
\(552\) −0.146079 + 0.0718223i −0.00621754 + 0.00305696i
\(553\) −2.78558 + 2.86630i −0.118455 + 0.121887i
\(554\) 20.0811 1.14828i 0.853163 0.0487856i
\(555\) −0.00898244 0.0341728i −0.000381284 0.00145055i
\(556\) 0.0133159 0.466118i 0.000564721 0.0197678i
\(557\) −5.97789 11.3294i −0.253291 0.480041i 0.724596 0.689174i \(-0.242027\pi\)
−0.977887 + 0.209134i \(0.932936\pi\)
\(558\) 3.46413 17.0962i 0.146648 0.723738i
\(559\) −15.0696 + 57.3306i −0.637375 + 2.42483i
\(560\) −0.627697 0.184308i −0.0265250 0.00778845i
\(561\) −0.792633 + 1.22016i −0.0334650 + 0.0515150i
\(562\) 8.81714 2.58894i 0.371928 0.109208i
\(563\) 0.950450 + 33.2701i 0.0400567 + 1.40217i 0.732536 + 0.680729i \(0.238337\pi\)
−0.692479 + 0.721438i \(0.743481\pi\)
\(564\) −3.55068 + 2.00516i −0.149511 + 0.0844325i
\(565\) −16.7140 + 12.1434i −0.703164 + 0.510878i
\(566\) 16.6706 7.04504i 0.700716 0.296125i
\(567\) −5.53781 0.958356i −0.232566 0.0402472i
\(568\) 0.426610 4.96693i 0.0179001 0.208408i
\(569\) −1.49430 17.3978i −0.0626442 0.729353i −0.958516 0.285040i \(-0.907993\pi\)
0.895871 0.444313i \(-0.146552\pi\)
\(570\) −0.0969653 + 0.0167805i −0.00406143 + 0.000702858i
\(571\) 11.1182 7.14523i 0.465282 0.299019i −0.286916 0.957956i \(-0.592630\pi\)
0.752198 + 0.658937i \(0.228994\pi\)
\(572\) 4.75780 + 28.3190i 0.198934 + 1.18408i
\(573\) −6.00087 3.85652i −0.250690 0.161109i
\(574\) −4.27365 1.80606i −0.178379 0.0753835i
\(575\) −0.216189 + 0.0502725i −0.00901569 + 0.00209651i
\(576\) 2.59715 6.67072i 0.108215 0.277947i
\(577\) −9.21321 15.2784i −0.383551 0.636048i 0.603331 0.797491i \(-0.293840\pi\)
−0.986882 + 0.161443i \(0.948385\pi\)
\(578\) −3.37823 + 10.3971i −0.140516 + 0.432464i
\(579\) −1.60869 + 2.08619i −0.0668549 + 0.0866990i
\(580\) −5.18945 13.3290i −0.215480 0.553457i
\(581\) 2.80798 + 4.10654i 0.116495 + 0.170368i
\(582\) −0.288009 + 2.00315i −0.0119384 + 0.0830331i
\(583\) −5.58467 + 31.3543i −0.231293 + 1.29856i
\(584\) 1.92506 + 13.3891i 0.0796597 + 0.554046i
\(585\) 12.9113 11.8499i 0.533816 0.489932i
\(586\) −15.3691 0.878835i −0.634890 0.0363043i
\(587\) −4.66773 23.0361i −0.192658 0.950803i −0.953391 0.301738i \(-0.902433\pi\)
0.760733 0.649065i \(-0.224840\pi\)
\(588\) −2.08189 + 1.70235i −0.0858557 + 0.0702038i
\(589\) 3.31591 + 1.63032i 0.136630 + 0.0671763i
\(590\) 5.03834 1.79768i 0.207425 0.0740091i
\(591\) −3.11681 4.04195i −0.128208 0.166263i
\(592\) −0.0616135 + 0.102175i −0.00253230 + 0.00419935i
\(593\) 14.0843 + 16.2541i 0.578371 + 0.667476i 0.967254 0.253812i \(-0.0816843\pi\)
−0.388883 + 0.921287i \(0.627139\pi\)
\(594\) −2.03883 3.65204i −0.0836542 0.149845i
\(595\) 0.684118 0.789514i 0.0280461 0.0323669i
\(596\) 9.51264 + 29.2769i 0.389653 + 1.19923i
\(597\) −3.09448 1.10411i −0.126649 0.0451882i
\(598\) −0.693855 0.713960i −0.0283739 0.0291960i
\(599\) 10.2465 + 9.40414i 0.418660 + 0.384243i 0.857637 0.514256i \(-0.171932\pi\)
−0.438977 + 0.898498i \(0.644659\pi\)
\(600\) −0.413956 + 0.605392i −0.0168997 + 0.0247150i
\(601\) −32.6564 7.59393i −1.33208 0.309763i −0.500777 0.865577i \(-0.666952\pi\)
−0.831307 + 0.555814i \(0.812407\pi\)
\(602\) −4.05247 2.94429i −0.165166 0.120000i
\(603\) 9.26958 + 1.06359i 0.377487 + 0.0433126i
\(604\) −16.9926 −0.691417
\(605\) 10.5235 + 3.20248i 0.427841 + 0.130199i
\(606\) −0.241332 −0.00980343
\(607\) −22.5318 2.58528i −0.914538 0.104933i −0.356070 0.934459i \(-0.615883\pi\)
−0.558468 + 0.829526i \(0.688611\pi\)
\(608\) 2.19025 + 1.59131i 0.0888265 + 0.0645363i
\(609\) 1.87180 + 0.435269i 0.0758493 + 0.0176380i
\(610\) −1.42146 + 2.07882i −0.0575532 + 0.0841689i
\(611\) −43.8591 40.2535i −1.77435 1.62848i
\(612\) −4.51130 4.64201i −0.182358 0.187642i
\(613\) 31.1737 + 11.1227i 1.25909 + 0.449243i 0.879495 0.475908i \(-0.157881\pi\)
0.379598 + 0.925152i \(0.376062\pi\)
\(614\) −0.850394 2.61724i −0.0343191 0.105623i
\(615\) 1.70798 1.97112i 0.0688726 0.0794832i
\(616\) −5.67112 1.17812i −0.228496 0.0474677i
\(617\) −10.8276 12.4957i −0.435904 0.503060i 0.494712 0.869057i \(-0.335273\pi\)
−0.930616 + 0.365997i \(0.880728\pi\)
\(618\) 0.179504 0.297674i 0.00722071 0.0119742i
\(619\) 25.9306 + 33.6275i 1.04224 + 1.35160i 0.933919 + 0.357486i \(0.116366\pi\)
0.108322 + 0.994116i \(0.465452\pi\)
\(620\) 10.8656 3.87684i 0.436373 0.155698i
\(621\) −0.336257 0.165326i −0.0134935 0.00663432i
\(622\) −0.825687 + 0.675161i −0.0331070 + 0.0270715i
\(623\) 0.873788 + 4.31231i 0.0350076 + 0.172769i
\(624\) 1.64687 + 0.0941714i 0.0659275 + 0.00376987i
\(625\) −0.736741 + 0.676175i −0.0294696 + 0.0270470i
\(626\) 0.571986 + 3.97825i 0.0228611 + 0.159003i
\(627\) 0.423092 0.108995i 0.0168966 0.00435283i
\(628\) 2.29270 15.9461i 0.0914887 0.636318i
\(629\) −0.107544 0.157278i −0.00428806 0.00627109i
\(630\) 0.537278 + 1.37999i 0.0214057 + 0.0549800i
\(631\) 4.52804 5.87207i 0.180258 0.233763i −0.693100 0.720842i \(-0.743756\pi\)
0.873358 + 0.487078i \(0.161937\pi\)
\(632\) 4.67557 14.3899i 0.185984 0.572401i
\(633\) −0.187303 0.310607i −0.00744463 0.0123455i
\(634\) −4.11711 + 10.5747i −0.163511 + 0.419975i
\(635\) −12.2812 + 2.85587i −0.487365 + 0.113332i
\(636\) 3.63789 + 1.53738i 0.144252 + 0.0609613i
\(637\) −33.0285 21.2261i −1.30864 0.841010i
\(638\) −10.7354 22.1079i −0.425017 0.875262i
\(639\) 4.76050 3.05939i 0.188323 0.121028i
\(640\) 9.74680 1.68675i 0.385276 0.0666747i
\(641\) 3.31142 + 38.5542i 0.130793 + 1.52280i 0.708007 + 0.706205i \(0.249594\pi\)
−0.577214 + 0.816593i \(0.695860\pi\)
\(642\) −0.122614 + 1.42757i −0.00483920 + 0.0563417i
\(643\) −16.1802 2.80009i −0.638084 0.110425i −0.157705 0.987486i \(-0.550410\pi\)
−0.480378 + 0.877062i \(0.659501\pi\)
\(644\) −0.200239 + 0.0846216i −0.00789051 + 0.00333456i
\(645\) 2.27810 1.65514i 0.0897003 0.0651711i
\(646\) −0.462055 + 0.260935i −0.0181793 + 0.0102663i
\(647\) −0.277570 9.71621i −0.0109124 0.381984i −0.986632 0.162962i \(-0.947895\pi\)
0.975720 0.219022i \(-0.0702866\pi\)
\(648\) 20.4135 5.99395i 0.801919 0.235465i
\(649\) −21.6523 + 9.76016i −0.849927 + 0.383120i
\(650\) −4.30376 1.26370i −0.168807 0.0495663i
\(651\) −0.394033 + 1.49906i −0.0154434 + 0.0587527i
\(652\) 1.89485 9.35146i 0.0742081 0.366232i
\(653\) −6.33034 11.9973i −0.247726 0.469492i 0.728848 0.684675i \(-0.240056\pi\)
−0.976574 + 0.215183i \(0.930965\pi\)
\(654\) −0.0742652 + 2.59962i −0.00290400 + 0.101653i
\(655\) 4.75026 + 18.0719i 0.185608 + 0.706127i
\(656\) −8.79286 + 0.502794i −0.343303 + 0.0196308i
\(657\) −10.7012 + 11.0112i −0.417492 + 0.429589i
\(658\) 4.51439 2.21957i 0.175989 0.0865280i
\(659\) 5.28134 11.5645i 0.205732 0.450490i −0.778437 0.627723i \(-0.783987\pi\)
0.984169 + 0.177233i \(0.0567145\pi\)
\(660\) 0.676590 1.18447i 0.0263362 0.0461056i
\(661\) 18.9278 + 41.4461i 0.736206 + 1.61207i 0.789697 + 0.613497i \(0.210238\pi\)
−0.0534911 + 0.998568i \(0.517035\pi\)
\(662\) 2.13225 + 1.74353i 0.0828723 + 0.0677643i
\(663\) −1.22928 + 2.32974i −0.0477411 + 0.0904795i
\(664\) −16.3982 9.26048i −0.636373 0.359376i
\(665\) −0.311648 + 0.0357583i −0.0120852 + 0.00138665i
\(666\) 0.268328 0.0307878i 0.0103975 0.00119300i
\(667\) −1.91713 1.08265i −0.0742317 0.0419206i
\(668\) 6.59459 12.4981i 0.255152 0.483568i
\(669\) 5.29493 + 4.32964i 0.204714 + 0.167394i
\(670\) −0.992052 2.17229i −0.0383263 0.0839230i
\(671\) 5.54573 9.70865i 0.214091 0.374798i
\(672\) −0.471767 + 1.03303i −0.0181988 + 0.0398498i
\(673\) −0.358599 + 0.176311i −0.0138230 + 0.00679629i −0.448119 0.893974i \(-0.647906\pi\)
0.434297 + 0.900770i \(0.356997\pi\)
\(674\) 3.53118 3.63349i 0.136016 0.139957i
\(675\) −1.68542 + 0.0963759i −0.0648719 + 0.00370951i
\(676\) 8.45075 + 32.1500i 0.325029 + 1.23654i
\(677\) −0.105245 + 3.68406i −0.00404490 + 0.141590i 0.995060 + 0.0992792i \(0.0316537\pi\)
−0.999105 + 0.0423106i \(0.986528\pi\)
\(678\) 2.05428 + 3.89329i 0.0788940 + 0.149521i
\(679\) −1.28113 + 6.32264i −0.0491654 + 0.242641i
\(680\) −1.00535 + 3.82476i −0.0385536 + 0.146673i
\(681\) 7.60679 + 2.23355i 0.291493 + 0.0855900i
\(682\) 18.0711 8.14586i 0.691977 0.311921i
\(683\) 35.5226 10.4304i 1.35924 0.399107i 0.480742 0.876862i \(-0.340367\pi\)
0.878493 + 0.477755i \(0.158549\pi\)
\(684\) 0.0555044 + 1.94291i 0.00212227 + 0.0742890i
\(685\) −7.02099 + 3.96493i −0.268258 + 0.151492i
\(686\) 5.55745 4.03772i 0.212184 0.154161i
\(687\) 1.28044 0.541118i 0.0488518 0.0206449i
\(688\) −9.36941 1.62144i −0.357205 0.0618168i
\(689\) −4.93405 + 57.4461i −0.187972 + 2.18852i
\(690\) 0.00404710 + 0.0471195i 0.000154071 + 0.00179381i
\(691\) −27.5226 + 4.76297i −1.04701 + 0.181192i −0.667970 0.744189i \(-0.732836\pi\)
−0.379039 + 0.925381i \(0.623745\pi\)
\(692\) 19.5270 12.5492i 0.742303 0.477049i
\(693\) −2.87198 5.91443i −0.109097 0.224670i
\(694\) 13.4939 + 8.67199i 0.512221 + 0.329184i
\(695\) −0.297878 0.125884i −0.0112992 0.00477506i
\(696\) −7.08583 + 1.64774i −0.268588 + 0.0624574i
\(697\) 5.10258 13.1059i 0.193274 0.496420i
\(698\) 6.99397 + 11.5982i 0.264726 + 0.438998i
\(699\) −0.576434 + 1.77408i −0.0218027 + 0.0671020i
\(700\) −0.598070 + 0.775591i −0.0226049 + 0.0293146i
\(701\) −0.908789 2.33421i −0.0343245 0.0881617i 0.913659 0.406482i \(-0.133245\pi\)
−0.947983 + 0.318321i \(0.896881\pi\)
\(702\) −4.27410 6.25067i −0.161315 0.235916i
\(703\) −0.00814213 + 0.0566298i −0.000307086 + 0.00213583i
\(704\) 7.87739 2.02933i 0.296890 0.0764834i
\(705\) 0.402455 + 2.79913i 0.0151573 + 0.105422i
\(706\) −2.98516 + 2.73976i −0.112348 + 0.103112i
\(707\) −0.768043 0.0439183i −0.0288852 0.00165172i
\(708\) 0.584900 + 2.88659i 0.0219819 + 0.108485i
\(709\) −35.8346 + 29.3018i −1.34580 + 1.10045i −0.359920 + 0.932983i \(0.617196\pi\)
−0.985877 + 0.167470i \(0.946440\pi\)
\(710\) −1.29976 0.639049i −0.0487791 0.0239831i
\(711\) 16.1761 5.77162i 0.606651 0.216453i
\(712\) −10.1711 13.1901i −0.381179 0.494322i
\(713\) 0.917011 1.52069i 0.0343423 0.0569503i
\(714\) −0.145767 0.168224i −0.00545520 0.00629563i
\(715\) 19.4982 + 4.05055i 0.729192 + 0.151482i
\(716\) −12.1591 + 14.0323i −0.454406 + 0.524412i
\(717\) −0.959889 2.95423i −0.0358477 0.110328i
\(718\) −0.546003 0.194813i −0.0203767 0.00727037i
\(719\) −13.0520 13.4302i −0.486758 0.500863i 0.428605 0.903492i \(-0.359005\pi\)
−0.915363 + 0.402630i \(0.868096\pi\)
\(720\) 2.07107 + 1.90081i 0.0771843 + 0.0708392i
\(721\) 0.625447 0.914687i 0.0232929 0.0340647i
\(722\) −13.6694 3.17867i −0.508721 0.118298i
\(723\) 4.00203 + 2.90765i 0.148837 + 0.108137i
\(724\) 5.27022 + 0.604702i 0.195866 + 0.0224736i
\(725\) −9.91955 −0.368403
\(726\) 0.994526 2.12234i 0.0369103 0.0787675i
\(727\) −46.8662 −1.73817 −0.869086 0.494661i \(-0.835292\pi\)
−0.869086 + 0.494661i \(0.835292\pi\)
\(728\) −10.4179 1.19534i −0.386113 0.0443024i
\(729\) 18.3691 + 13.3460i 0.680339 + 0.494295i
\(730\) 3.82784 + 0.890126i 0.141675 + 0.0329450i
\(731\) 8.57066 12.5342i 0.316997 0.463594i
\(732\) −1.02151 0.937537i −0.0377563 0.0346524i
\(733\) 16.4084 + 16.8839i 0.606060 + 0.623621i 0.948826 0.315800i \(-0.102273\pi\)
−0.342766 + 0.939421i \(0.611364\pi\)
\(734\) 1.87991 + 0.670749i 0.0693886 + 0.0247578i
\(735\) 0.576324 + 1.77374i 0.0212580 + 0.0654255i
\(736\) 0.852038 0.983304i 0.0314065 0.0362451i
\(737\) 5.16832 + 9.25771i 0.190378 + 0.341012i
\(738\) 13.0558 + 15.0672i 0.480590 + 0.554630i
\(739\) 16.0955 26.6914i 0.592082 0.981859i −0.405615 0.914044i \(-0.632943\pi\)
0.997698 0.0678147i \(-0.0216027\pi\)
\(740\) 0.109078 + 0.141454i 0.00400978 + 0.00519997i
\(741\) 0.744978 0.265808i 0.0273675 0.00976469i
\(742\) −4.37230 2.14972i −0.160512 0.0789186i
\(743\) 7.74351 6.33184i 0.284082 0.232293i −0.480225 0.877145i \(-0.659445\pi\)
0.764307 + 0.644853i \(0.223081\pi\)
\(744\) −1.16524 5.75067i −0.0427197 0.210830i
\(745\) 21.3136 + 1.21876i 0.780870 + 0.0446518i
\(746\) 7.35564 6.75094i 0.269309 0.247170i
\(747\) −3.04226 21.1594i −0.111311 0.774182i
\(748\) 1.28985 7.24170i 0.0471617 0.264783i
\(749\) −0.650016 + 4.52096i −0.0237511 + 0.165192i
\(750\) 0.120268 + 0.175886i 0.00439155 + 0.00642244i
\(751\) −1.16514 2.99263i −0.0425164 0.109202i 0.909005 0.416786i \(-0.136843\pi\)
−0.951521 + 0.307583i \(0.900480\pi\)
\(752\) 5.83125 7.56210i 0.212644 0.275762i
\(753\) 1.19393 3.67452i 0.0435090 0.133907i
\(754\) −22.9764 38.1021i −0.836752 1.38760i
\(755\) −4.27546 + 10.9814i −0.155600 + 0.399655i
\(756\) −1.61044 + 0.374491i −0.0585710 + 0.0136201i
\(757\) 30.9453 + 13.0776i 1.12472 + 0.475312i 0.870665 0.491876i \(-0.163689\pi\)
0.254059 + 0.967189i \(0.418234\pi\)
\(758\) 23.7399 + 15.2567i 0.862271 + 0.554148i
\(759\) −0.0347892 0.207069i −0.00126277 0.00751614i
\(760\) 0.998991 0.642012i 0.0362372 0.0232882i
\(761\) −3.24187 + 0.561027i −0.117518 + 0.0203372i −0.228978 0.973432i \(-0.573538\pi\)
0.111460 + 0.993769i \(0.464447\pi\)
\(762\) 0.229907 + 2.67676i 0.00832866 + 0.0969688i
\(763\) −0.709438 + 8.25984i −0.0256834 + 0.299026i
\(764\) 35.5334 + 6.14930i 1.28555 + 0.222474i
\(765\) −4.13497 + 1.74745i −0.149500 + 0.0631793i
\(766\) −13.3297 + 9.68459i −0.481621 + 0.349918i
\(767\) −37.4403 + 21.1435i −1.35189 + 0.763449i
\(768\) −0.100140 3.50537i −0.00361350 0.126489i
\(769\) −20.7193 + 6.08372i −0.747155 + 0.219385i −0.633079 0.774087i \(-0.718209\pi\)
−0.114077 + 0.993472i \(0.536391\pi\)
\(770\) −0.916737 + 1.41120i −0.0330369 + 0.0508561i
\(771\) −3.38120 0.992809i −0.121771 0.0357551i
\(772\) 3.38568