Properties

Label 605.2.s.b.16.12
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 16.12
Character \(\chi\) \(=\) 605.16
Dual form 605.2.s.b.416.12

$q$-expansion

\(f(q)\) \(=\) \(q+(0.252480 + 0.0289694i) q^{2} +(2.55133 + 1.85365i) q^{3} +(-1.88512 - 0.438365i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(0.590461 + 0.541921i) q^{6} +(-0.840226 - 0.864572i) q^{7} +(-0.941970 - 0.336094i) q^{8} +(2.14622 + 6.60538i) q^{9} +O(q^{10})\) \(q+(0.252480 + 0.0289694i) q^{2} +(2.55133 + 1.85365i) q^{3} +(-1.88512 - 0.438365i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(0.590461 + 0.541921i) q^{6} +(-0.840226 - 0.864572i) q^{7} +(-0.941970 - 0.336094i) q^{8} +(2.14622 + 6.60538i) q^{9} +(-0.166424 + 0.192064i) q^{10} +(2.57360 + 2.09202i) q^{11} +(-3.99698 - 4.61276i) q^{12} +(-2.11158 + 3.50167i) q^{13} +(-0.187094 - 0.242628i) q^{14} +(-2.97022 + 1.05977i) q^{15} +(3.24558 + 1.59575i) q^{16} +(-2.71444 + 2.21958i) q^{17} +(0.350524 + 1.72990i) q^{18} +(-1.09712 - 0.0627356i) q^{19} +(1.42590 - 1.30868i) q^{20} +(-0.541080 - 3.76330i) q^{21} +(0.589180 + 0.602750i) q^{22} +(0.207803 - 1.44530i) q^{23} +(-1.78028 - 2.60357i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(-0.634575 + 0.822931i) q^{26} +(-3.84479 + 11.8330i) q^{27} +(1.20493 + 1.99815i) q^{28} +(-0.00387771 + 0.00995983i) q^{29} +(-0.780622 + 0.181526i) q^{30} +(7.98936 + 3.37633i) q^{31} +(2.45595 + 1.57834i) q^{32} +(2.68824 + 10.1080i) q^{33} +(-0.749642 + 0.481766i) q^{34} +(1.18794 - 0.205581i) q^{35} +(-1.15030 - 13.3927i) q^{36} +(0.718138 - 8.36112i) q^{37} +(-0.275184 - 0.0476224i) q^{38} +(-11.8782 + 5.01978i) q^{39} +(0.809125 - 0.587864i) q^{40} +(-10.0229 + 5.66019i) q^{41} +(-0.0275916 - 0.965833i) q^{42} +(8.91576 - 2.61790i) q^{43} +(-3.93448 - 5.07189i) q^{44} +(-6.66397 - 1.95672i) q^{45} +(0.0943358 - 0.358891i) q^{46} +(0.789344 - 3.89556i) q^{47} +(5.32260 + 10.0875i) q^{48} +(0.158387 - 5.54427i) q^{49} +(-0.0646062 - 0.245788i) q^{50} +(-11.0398 + 0.631276i) q^{51} +(5.51559 - 5.67541i) q^{52} +(6.26080 - 3.07823i) q^{53} +(-1.31353 + 2.87623i) q^{54} +(-3.17956 + 0.943611i) q^{55} +(0.500890 + 1.09680i) q^{56} +(-2.68282 - 2.19373i) q^{57} +(-0.00126758 + 0.00240233i) q^{58} +(10.9463 + 6.18166i) q^{59} +(6.06377 - 0.695753i) q^{60} +(-8.31385 + 0.953925i) q^{61} +(1.91934 + 1.08390i) q^{62} +(3.90752 - 7.40557i) q^{63} +(-5.02526 - 4.10913i) q^{64} +(-1.69866 - 3.71955i) q^{65} +(0.385904 + 2.62995i) q^{66} +(0.706270 - 1.54652i) q^{67} +(6.09002 - 2.99426i) q^{68} +(3.20926 - 3.30225i) q^{69} +(0.305887 - 0.0174913i) q^{70} +(-0.458338 - 1.74370i) q^{71} +(0.198357 - 6.94340i) q^{72} +(-3.11500 - 5.90358i) q^{73} +(0.423532 - 2.09021i) q^{74} +(0.801708 - 3.05001i) q^{75} +(2.04070 + 0.599203i) q^{76} +(-0.353706 - 3.98284i) q^{77} +(-3.14444 + 0.923290i) q^{78} +(-0.247313 - 8.65709i) q^{79} +(-3.14919 + 1.77843i) q^{80} +(-14.8870 + 10.8160i) q^{81} +(-2.69456 + 1.13873i) q^{82} +(6.51277 + 1.12708i) q^{83} +(-0.629698 + 7.33144i) q^{84} +(-0.300059 - 3.49352i) q^{85} +(2.32689 - 0.402685i) q^{86} +(-0.0283554 + 0.0182229i) q^{87} +(-1.72114 - 2.83560i) q^{88} +(-2.44602 - 1.57196i) q^{89} +(-1.62584 - 0.687084i) q^{90} +(4.80165 - 1.11658i) q^{91} +(-1.02530 + 2.63347i) q^{92} +(14.1250 + 23.4236i) q^{93} +(0.312146 - 0.960686i) q^{94} +(0.671048 - 0.870230i) q^{95} +(3.34024 + 8.57935i) q^{96} +(1.94269 + 2.84110i) q^{97} +(0.200604 - 1.39523i) q^{98} +(-8.29508 + 21.4896i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.252480 + 0.0289694i 0.178531 + 0.0204845i 0.202796 0.979221i \(-0.434997\pi\)
−0.0242651 + 0.999706i \(0.507725\pi\)
\(3\) 2.55133 + 1.85365i 1.47301 + 1.07021i 0.979727 + 0.200337i \(0.0642038\pi\)
0.493284 + 0.869868i \(0.335796\pi\)
\(4\) −1.88512 0.438365i −0.942558 0.219183i
\(5\) −0.564443 + 0.825472i −0.252427 + 0.369162i
\(6\) 0.590461 + 0.541921i 0.241055 + 0.221238i
\(7\) −0.840226 0.864572i −0.317576 0.326778i 0.539483 0.841997i \(-0.318620\pi\)
−0.857059 + 0.515219i \(0.827711\pi\)
\(8\) −0.941970 0.336094i −0.333037 0.118827i
\(9\) 2.14622 + 6.60538i 0.715406 + 2.20179i
\(10\) −0.166424 + 0.192064i −0.0526280 + 0.0607359i
\(11\) 2.57360 + 2.09202i 0.775971 + 0.630768i
\(12\) −3.99698 4.61276i −1.15383 1.33159i
\(13\) −2.11158 + 3.50167i −0.585648 + 0.971188i 0.412535 + 0.910942i \(0.364643\pi\)
−0.998184 + 0.0602467i \(0.980811\pi\)
\(14\) −0.187094 0.242628i −0.0500031 0.0648451i
\(15\) −2.97022 + 1.05977i −0.766907 + 0.273632i
\(16\) 3.24558 + 1.59575i 0.811396 + 0.398936i
\(17\) −2.71444 + 2.21958i −0.658348 + 0.538328i −0.902110 0.431507i \(-0.857982\pi\)
0.243762 + 0.969835i \(0.421618\pi\)
\(18\) 0.350524 + 1.72990i 0.0826192 + 0.407742i
\(19\) −1.09712 0.0627356i −0.251696 0.0143925i −0.0692148 0.997602i \(-0.522049\pi\)
−0.182482 + 0.983209i \(0.558413\pi\)
\(20\) 1.42590 1.30868i 0.318841 0.292629i
\(21\) −0.541080 3.76330i −0.118073 0.821218i
\(22\) 0.589180 + 0.602750i 0.125614 + 0.128507i
\(23\) 0.207803 1.44530i 0.0433300 0.301367i −0.956620 0.291339i \(-0.905899\pi\)
0.999950 0.0100271i \(-0.00319179\pi\)
\(24\) −1.78028 2.60357i −0.363397 0.531452i
\(25\) −0.362808 0.931864i −0.0725615 0.186373i
\(26\) −0.634575 + 0.822931i −0.124450 + 0.161390i
\(27\) −3.84479 + 11.8330i −0.739929 + 2.27727i
\(28\) 1.20493 + 1.99815i 0.227710 + 0.377614i
\(29\) −0.00387771 + 0.00995983i −0.000720074 + 0.00184949i −0.932224 0.361883i \(-0.882134\pi\)
0.931504 + 0.363732i \(0.118498\pi\)
\(30\) −0.780622 + 0.181526i −0.142521 + 0.0331419i
\(31\) 7.98936 + 3.37633i 1.43493 + 0.606407i 0.961594 0.274475i \(-0.0885040\pi\)
0.473336 + 0.880882i \(0.343049\pi\)
\(32\) 2.45595 + 1.57834i 0.434155 + 0.279014i
\(33\) 2.68824 + 10.1080i 0.467962 + 1.75958i
\(34\) −0.749642 + 0.481766i −0.128563 + 0.0826221i
\(35\) 1.18794 0.205581i 0.200799 0.0347496i
\(36\) −1.15030 13.3927i −0.191717 2.23212i
\(37\) 0.718138 8.36112i 0.118061 1.37456i −0.662304 0.749236i \(-0.730421\pi\)
0.780365 0.625325i \(-0.215033\pi\)
\(38\) −0.275184 0.0476224i −0.0446407 0.00772537i
\(39\) −11.8782 + 5.01978i −1.90204 + 0.803808i
\(40\) 0.809125 0.587864i 0.127934 0.0929494i
\(41\) −10.0229 + 5.66019i −1.56531 + 0.883973i −0.567136 + 0.823624i \(0.691949\pi\)
−0.998177 + 0.0603486i \(0.980779\pi\)
\(42\) −0.0275916 0.965833i −0.00425748 0.149031i
\(43\) 8.91576 2.61790i 1.35964 0.399227i 0.481005 0.876718i \(-0.340272\pi\)
0.878636 + 0.477491i \(0.158454\pi\)
\(44\) −3.93448 5.07189i −0.593145 0.764615i
\(45\) −6.66397 1.95672i −0.993406 0.291690i
\(46\) 0.0943358 0.358891i 0.0139091 0.0529155i
\(47\) 0.789344 3.89556i 0.115138 0.568226i −0.880430 0.474176i \(-0.842746\pi\)
0.995567 0.0940501i \(-0.0299814\pi\)
\(48\) 5.32260 + 10.0875i 0.768251 + 1.45600i
\(49\) 0.158387 5.54427i 0.0226267 0.792039i
\(50\) −0.0646062 0.245788i −0.00913670 0.0347596i
\(51\) −11.0398 + 0.631276i −1.54588 + 0.0883964i
\(52\) 5.51559 5.67541i 0.764875 0.787038i
\(53\) 6.26080 3.07823i 0.859987 0.422827i 0.0427208 0.999087i \(-0.486397\pi\)
0.817267 + 0.576260i \(0.195488\pi\)
\(54\) −1.31353 + 2.87623i −0.178749 + 0.391405i
\(55\) −3.17956 + 0.943611i −0.428732 + 0.127236i
\(56\) 0.500890 + 1.09680i 0.0669343 + 0.146566i
\(57\) −2.68282 2.19373i −0.355349 0.290567i
\(58\) −0.00126758 + 0.00240233i −0.000166441 + 0.000315441i
\(59\) 10.9463 + 6.18166i 1.42509 + 0.804783i 0.995178 0.0980895i \(-0.0312731\pi\)
0.429908 + 0.902873i \(0.358546\pi\)
\(60\) 6.06377 0.695753i 0.782830 0.0898213i
\(61\) −8.31385 + 0.953925i −1.06448 + 0.122138i −0.628493 0.777816i \(-0.716328\pi\)
−0.435987 + 0.899953i \(0.643600\pi\)
\(62\) 1.91934 + 1.08390i 0.243757 + 0.137656i
\(63\) 3.90752 7.40557i 0.492301 0.933015i
\(64\) −5.02526 4.10913i −0.628157 0.513641i
\(65\) −1.69866 3.71955i −0.210693 0.461353i
\(66\) 0.385904 + 2.62995i 0.0475016 + 0.323724i
\(67\) 0.706270 1.54652i 0.0862847 0.188937i −0.861571 0.507637i \(-0.830519\pi\)
0.947856 + 0.318700i \(0.103246\pi\)
\(68\) 6.09002 2.99426i 0.738523 0.363107i
\(69\) 3.20926 3.30225i 0.386350 0.397544i
\(70\) 0.305887 0.0174913i 0.0365605 0.00209060i
\(71\) −0.458338 1.74370i −0.0543948 0.206939i 0.934399 0.356229i \(-0.115938\pi\)
−0.988793 + 0.149290i \(0.952301\pi\)
\(72\) 0.198357 6.94340i 0.0233766 0.818288i
\(73\) −3.11500 5.90358i −0.364583 0.690962i 0.631873 0.775072i \(-0.282286\pi\)
−0.996456 + 0.0841099i \(0.973195\pi\)
\(74\) 0.423532 2.09021i 0.0492346 0.242983i
\(75\) 0.801708 3.05001i 0.0925732 0.352185i
\(76\) 2.04070 + 0.599203i 0.234084 + 0.0687333i
\(77\) −0.353706 3.98284i −0.0403085 0.453887i
\(78\) −3.14444 + 0.923290i −0.356037 + 0.104542i
\(79\) −0.247313 8.65709i −0.0278249 0.973999i −0.886848 0.462062i \(-0.847110\pi\)
0.859023 0.511937i \(-0.171072\pi\)
\(80\) −3.14919 + 1.77843i −0.352090 + 0.198835i
\(81\) −14.8870 + 10.8160i −1.65411 + 1.20178i
\(82\) −2.69456 + 1.13873i −0.297564 + 0.125752i
\(83\) 6.51277 + 1.12708i 0.714869 + 0.123713i 0.516342 0.856382i \(-0.327293\pi\)
0.198527 + 0.980095i \(0.436384\pi\)
\(84\) −0.629698 + 7.33144i −0.0687057 + 0.799926i
\(85\) −0.300059 3.49352i −0.0325459 0.378926i
\(86\) 2.32689 0.402685i 0.250915 0.0434226i
\(87\) −0.0283554 + 0.0182229i −0.00304001 + 0.00195370i
\(88\) −1.72114 2.83560i −0.183474 0.302276i
\(89\) −2.44602 1.57196i −0.259277 0.166627i 0.404544 0.914518i \(-0.367430\pi\)
−0.663822 + 0.747891i \(0.731067\pi\)
\(90\) −1.62584 0.687084i −0.171378 0.0724250i
\(91\) 4.80165 1.11658i 0.503350 0.117049i
\(92\) −1.02530 + 2.63347i −0.106895 + 0.274558i
\(93\) 14.1250 + 23.4236i 1.46469 + 2.42891i
\(94\) 0.312146 0.960686i 0.0321954 0.0990872i
\(95\) 0.671048 0.870230i 0.0688481 0.0892838i
\(96\) 3.34024 + 8.57935i 0.340912 + 0.875626i
\(97\) 1.94269 + 2.84110i 0.197251 + 0.288470i 0.911398 0.411525i \(-0.135004\pi\)
−0.714148 + 0.699995i \(0.753186\pi\)
\(98\) 0.200604 1.39523i 0.0202641 0.140940i
\(99\) −8.29508 + 21.4896i −0.833687 + 2.15978i
\(100\) 0.275438 + 1.91571i 0.0275438 + 0.191571i
\(101\) 10.3937 9.53929i 1.03422 0.949195i 0.0354755 0.999371i \(-0.488705\pi\)
0.998740 + 0.0501758i \(0.0159781\pi\)
\(102\) −2.80561 0.160431i −0.277797 0.0158850i
\(103\) 1.09425 + 5.40035i 0.107820 + 0.532112i 0.997189 + 0.0749228i \(0.0238710\pi\)
−0.889369 + 0.457189i \(0.848856\pi\)
\(104\) 3.16594 2.58878i 0.310446 0.253850i
\(105\) 3.41190 + 1.67752i 0.332968 + 0.163709i
\(106\) 1.66990 0.595820i 0.162195 0.0578712i
\(107\) 9.48984 + 12.3066i 0.917417 + 1.18973i 0.981438 + 0.191779i \(0.0614258\pi\)
−0.0640208 + 0.997949i \(0.520392\pi\)
\(108\) 12.4351 20.6212i 1.19656 1.98428i
\(109\) 9.98758 + 11.5263i 0.956636 + 1.10402i 0.994500 + 0.104734i \(0.0333992\pi\)
−0.0378638 + 0.999283i \(0.512055\pi\)
\(110\) −0.830112 + 0.146133i −0.0791481 + 0.0139332i
\(111\) 17.3308 20.0008i 1.64497 1.89839i
\(112\) −1.34739 4.14683i −0.127316 0.391839i
\(113\) 8.92987 + 3.18617i 0.840051 + 0.299730i 0.720807 0.693135i \(-0.243771\pi\)
0.119244 + 0.992865i \(0.461953\pi\)
\(114\) −0.613809 0.631595i −0.0574885 0.0591542i
\(115\) 1.07576 + 0.987327i 0.100316 + 0.0920687i
\(116\) 0.0116760 0.0170756i 0.00108409 0.00158543i
\(117\) −27.6618 6.43247i −2.55733 0.594682i
\(118\) 2.58464 + 1.87785i 0.237936 + 0.172870i
\(119\) 4.19973 + 0.481874i 0.384989 + 0.0441734i
\(120\) 3.15404 0.287923
\(121\) 2.24689 + 10.7681i 0.204262 + 0.978916i
\(122\) −2.12672 −0.192544
\(123\) −36.0637 4.13793i −3.25176 0.373104i
\(124\) −13.5808 9.86703i −1.21959 0.886086i
\(125\) 0.974012 + 0.226497i 0.0871183 + 0.0202585i
\(126\) 1.20111 1.75656i 0.107003 0.156487i
\(127\) −1.08824 0.998777i −0.0965656 0.0886271i 0.626438 0.779471i \(-0.284512\pi\)
−0.723004 + 0.690844i \(0.757239\pi\)
\(128\) −5.21901 5.37023i −0.461300 0.474666i
\(129\) 27.5997 + 9.84757i 2.43002 + 0.867030i
\(130\) −0.321125 0.988321i −0.0281645 0.0866815i
\(131\) −8.58292 + 9.90521i −0.749893 + 0.865422i −0.994558 0.104185i \(-0.966777\pi\)
0.244665 + 0.969608i \(0.421322\pi\)
\(132\) −0.636649 20.2332i −0.0554132 1.76107i
\(133\) 0.867589 + 1.00125i 0.0752295 + 0.0868195i
\(134\) 0.223121 0.370005i 0.0192747 0.0319635i
\(135\) −7.59767 9.85284i −0.653904 0.847997i
\(136\) 3.30291 1.17848i 0.283222 0.101053i
\(137\) −8.49805 4.17821i −0.726038 0.356969i 0.0404901 0.999180i \(-0.487108\pi\)
−0.766528 + 0.642211i \(0.778017\pi\)
\(138\) 0.905939 0.740783i 0.0771187 0.0630596i
\(139\) 1.17535 + 5.80059i 0.0996921 + 0.492000i 0.998554 + 0.0537668i \(0.0171228\pi\)
−0.898861 + 0.438233i \(0.855605\pi\)
\(140\) −2.32953 0.133207i −0.196881 0.0112581i
\(141\) 9.23489 8.47571i 0.777718 0.713783i
\(142\) −0.0652074 0.453528i −0.00547209 0.0380592i
\(143\) −12.7600 + 4.59443i −1.06704 + 0.384206i
\(144\) −3.57478 + 24.8631i −0.297898 + 2.07193i
\(145\) −0.00603281 0.00882270i −0.000500998 0.000732686i
\(146\) −0.615452 1.58078i −0.0509352 0.130826i
\(147\) 10.6812 13.8517i 0.880974 1.14247i
\(148\) −5.01900 + 15.4469i −0.412559 + 1.26973i
\(149\) −5.77678 9.57971i −0.473252 0.784800i 0.524528 0.851393i \(-0.324242\pi\)
−0.997780 + 0.0665929i \(0.978787\pi\)
\(150\) 0.290772 0.746843i 0.0237415 0.0609795i
\(151\) −5.90440 + 1.37301i −0.480493 + 0.111734i −0.459745 0.888051i \(-0.652059\pi\)
−0.0207480 + 0.999785i \(0.506605\pi\)
\(152\) 1.01237 + 0.427831i 0.0821139 + 0.0347016i
\(153\) −20.4870 13.1662i −1.65627 1.06442i
\(154\) 0.0260768 1.01584i 0.00210133 0.0818583i
\(155\) −7.29660 + 4.68924i −0.586077 + 0.376649i
\(156\) 24.5923 4.25587i 1.96896 0.340742i
\(157\) 0.00346003 + 0.0402843i 0.000276140 + 0.00321504i 0.996469 0.0839674i \(-0.0267592\pi\)
−0.996192 + 0.0871824i \(0.972214\pi\)
\(158\) 0.188349 2.19291i 0.0149843 0.174458i
\(159\) 21.6793 + 3.75176i 1.71928 + 0.297534i
\(160\) −2.68912 + 1.13643i −0.212594 + 0.0898429i
\(161\) −1.42417 + 1.03472i −0.112240 + 0.0815474i
\(162\) −4.07201 + 2.29957i −0.319927 + 0.180671i
\(163\) −0.626828 21.9418i −0.0490970 1.71862i −0.535207 0.844721i \(-0.679766\pi\)
0.486110 0.873897i \(-0.338415\pi\)
\(164\) 21.3756 6.27643i 1.66915 0.490107i
\(165\) −9.86123 3.48633i −0.767696 0.271410i
\(166\) 1.61169 + 0.473236i 0.125092 + 0.0367303i
\(167\) 5.99911 22.8230i 0.464225 1.76610i −0.162349 0.986733i \(-0.551907\pi\)
0.626574 0.779362i \(-0.284457\pi\)
\(168\) −0.755141 + 3.72677i −0.0582604 + 0.287526i
\(169\) −1.73622 3.29051i −0.133556 0.253116i
\(170\) 0.0254463 0.890738i 0.00195164 0.0683165i
\(171\) −1.94026 7.38153i −0.148376 0.564480i
\(172\) −17.9549 + 1.02670i −1.36904 + 0.0782848i
\(173\) 6.77098 6.96717i 0.514788 0.529704i −0.409038 0.912517i \(-0.634136\pi\)
0.923826 + 0.382813i \(0.125045\pi\)
\(174\) −0.00768708 + 0.00377948i −0.000582756 + 0.000286522i
\(175\) −0.500823 + 1.09665i −0.0378587 + 0.0828990i
\(176\) 5.01451 + 10.8967i 0.377983 + 0.821366i
\(177\) 16.4690 + 36.0620i 1.23788 + 2.71059i
\(178\) −0.572032 0.467749i −0.0428756 0.0350592i
\(179\) 1.98020 3.75290i 0.148007 0.280505i −0.799238 0.601015i \(-0.794763\pi\)
0.947245 + 0.320510i \(0.103854\pi\)
\(180\) 11.7046 + 6.60990i 0.872410 + 0.492673i
\(181\) −15.7739 + 1.80989i −1.17247 + 0.134528i −0.678264 0.734818i \(-0.737267\pi\)
−0.494203 + 0.869346i \(0.664540\pi\)
\(182\) 1.24467 0.142813i 0.0922611 0.0105860i
\(183\) −22.9796 12.9772i −1.69870 0.959301i
\(184\) −0.681503 + 1.29159i −0.0502410 + 0.0952173i
\(185\) 6.49652 + 5.31218i 0.477634 + 0.390559i
\(186\) 2.88770 + 6.32319i 0.211737 + 0.463639i
\(187\) −11.6293 + 0.0336699i −0.850419 + 0.00246218i
\(188\) −3.19568 + 6.99757i −0.233069 + 0.510350i
\(189\) 13.4610 6.61833i 0.979144 0.481413i
\(190\) 0.194636 0.200276i 0.0141204 0.0145296i
\(191\) 4.03025 0.230458i 0.291618 0.0166753i 0.0893325 0.996002i \(-0.471527\pi\)
0.202286 + 0.979327i \(0.435163\pi\)
\(192\) −5.20420 19.7988i −0.375581 1.42886i
\(193\) −0.0895320 + 3.13403i −0.00644465 + 0.225592i 0.989985 + 0.141170i \(0.0450864\pi\)
−0.996430 + 0.0844225i \(0.973095\pi\)
\(194\) 0.408187 + 0.773600i 0.0293061 + 0.0555412i
\(195\) 2.56090 12.6385i 0.183390 0.905063i
\(196\) −2.72899 + 10.3822i −0.194928 + 0.741584i
\(197\) 19.7096 + 5.78727i 1.40425 + 0.412326i 0.894142 0.447783i \(-0.147786\pi\)
0.510111 + 0.860109i \(0.329604\pi\)
\(198\) −2.71689 + 5.18539i −0.193081 + 0.368510i
\(199\) 9.17634 2.69442i 0.650493 0.191002i 0.0601943 0.998187i \(-0.480828\pi\)
0.590299 + 0.807185i \(0.299010\pi\)
\(200\) 0.0285599 + 0.999726i 0.00201949 + 0.0706913i
\(201\) 4.66863 2.63650i 0.329300 0.185964i
\(202\) 2.90056 2.10738i 0.204083 0.148275i
\(203\) 0.0118692 0.00501594i 0.000833051 0.000352050i
\(204\) 21.0880 + 3.64942i 1.47645 + 0.255510i
\(205\) 0.985028 11.4685i 0.0687973 0.800993i
\(206\) 0.119832 + 1.39518i 0.00834910 + 0.0972068i
\(207\) 9.99277 1.72932i 0.694545 0.120196i
\(208\) −12.4411 + 7.99541i −0.862635 + 0.554382i
\(209\) −2.69231 2.45665i −0.186231 0.169930i
\(210\) 0.812842 + 0.522382i 0.0560914 + 0.0360478i
\(211\) −23.9440 10.1188i −1.64837 0.696609i −0.650361 0.759625i \(-0.725382\pi\)
−0.998012 + 0.0630166i \(0.979928\pi\)
\(212\) −13.1517 + 3.05830i −0.903265 + 0.210045i
\(213\) 2.06284 5.29836i 0.141343 0.363037i
\(214\) 2.03948 + 3.38210i 0.139416 + 0.231196i
\(215\) −2.87144 + 8.83737i −0.195830 + 0.602704i
\(216\) 7.59869 9.85416i 0.517025 0.670490i
\(217\) −3.79378 9.74426i −0.257539 0.661483i
\(218\) 2.18776 + 3.19949i 0.148174 + 0.216697i
\(219\) 2.99578 20.8361i 0.202436 1.40797i
\(220\) 6.40749 0.385008i 0.431993 0.0259573i
\(221\) −2.04049 14.1919i −0.137258 0.954650i
\(222\) 4.95510 4.54775i 0.332564 0.305225i
\(223\) −26.2686 1.50209i −1.75907 0.100587i −0.852524 0.522688i \(-0.824929\pi\)
−0.906549 + 0.422101i \(0.861293\pi\)
\(224\) −0.698962 3.44951i −0.0467013 0.230480i
\(225\) 5.37665 4.39647i 0.358443 0.293098i
\(226\) 2.16231 + 1.06314i 0.143835 + 0.0707189i
\(227\) −0.163054 + 0.0581776i −0.0108223 + 0.00386138i −0.341455 0.939898i \(-0.610920\pi\)
0.330633 + 0.943760i \(0.392738\pi\)
\(228\) 4.09578 + 5.31150i 0.271250 + 0.351763i
\(229\) −10.0663 + 16.6930i −0.665198 + 1.10311i 0.322475 + 0.946578i \(0.395485\pi\)
−0.987673 + 0.156530i \(0.949969\pi\)
\(230\) 0.243007 + 0.280445i 0.0160234 + 0.0184920i
\(231\) 6.48037 10.8172i 0.426377 0.711719i
\(232\) 0.00700013 0.00807858i 0.000459581 0.000530385i
\(233\) 2.40649 + 7.40640i 0.157654 + 0.485210i 0.998420 0.0561891i \(-0.0178950\pi\)
−0.840766 + 0.541399i \(0.817895\pi\)
\(234\) −6.79771 2.42542i −0.444380 0.158554i
\(235\) 2.77014 + 2.85041i 0.180704 + 0.185940i
\(236\) −17.9252 16.4516i −1.16683 1.07091i
\(237\) 15.4162 22.5455i 1.00139 1.46449i
\(238\) 1.04639 + 0.243328i 0.0678274 + 0.0157726i
\(239\) −7.79065 5.66024i −0.503935 0.366130i 0.306583 0.951844i \(-0.400814\pi\)
−0.810518 + 0.585714i \(0.800814\pi\)
\(240\) −11.3312 1.30014i −0.731427 0.0839234i
\(241\) −2.70065 −0.173964 −0.0869821 0.996210i \(-0.527722\pi\)
−0.0869821 + 0.996210i \(0.527722\pi\)
\(242\) 0.255349 + 2.78382i 0.0164145 + 0.178951i
\(243\) −20.7049 −1.32822
\(244\) 16.0907 + 1.84624i 1.03010 + 0.118193i
\(245\) 4.48724 + 3.26017i 0.286679 + 0.208285i
\(246\) −8.98551 2.08949i −0.572895 0.133221i
\(247\) 2.53634 3.70928i 0.161383 0.236016i
\(248\) −6.39097 5.86558i −0.405827 0.372465i
\(249\) 14.5270 + 14.9479i 0.920612 + 0.947287i
\(250\) 0.239357 + 0.0854025i 0.0151383 + 0.00540133i
\(251\) 6.06797 + 18.6753i 0.383007 + 1.17877i 0.937916 + 0.346863i \(0.112753\pi\)
−0.554909 + 0.831911i \(0.687247\pi\)
\(252\) −10.6125 + 12.2474i −0.668523 + 0.771517i
\(253\) 3.55841 3.28491i 0.223715 0.206521i
\(254\) −0.245825 0.283697i −0.0154244 0.0178007i
\(255\) 5.71022 9.46933i 0.357588 0.592992i
\(256\) 6.76578 + 8.77403i 0.422862 + 0.548377i
\(257\) −23.7399 + 8.47039i −1.48086 + 0.528368i −0.948120 0.317913i \(-0.897018\pi\)
−0.532736 + 0.846281i \(0.678836\pi\)
\(258\) 6.68311 + 3.28586i 0.416072 + 0.204569i
\(259\) −7.83219 + 6.40435i −0.486669 + 0.397947i
\(260\) 1.57165 + 7.75641i 0.0974698 + 0.481032i
\(261\) −0.0741109 0.00423781i −0.00458735 0.000262314i
\(262\) −2.45396 + 2.25223i −0.151606 + 0.139143i
\(263\) −3.22854 22.4550i −0.199080 1.38463i −0.806960 0.590606i \(-0.798889\pi\)
0.607880 0.794029i \(-0.292020\pi\)
\(264\) 0.865001 10.4249i 0.0532371 0.641611i
\(265\) −0.992876 + 6.90560i −0.0609919 + 0.424208i
\(266\) 0.190043 + 0.277930i 0.0116523 + 0.0170410i
\(267\) −3.32674 8.54465i −0.203593 0.522924i
\(268\) −2.00934 + 2.60576i −0.122740 + 0.159172i
\(269\) −1.26086 + 3.88053i −0.0768760 + 0.236600i −0.982108 0.188317i \(-0.939697\pi\)
0.905232 + 0.424917i \(0.139697\pi\)
\(270\) −1.63283 2.70775i −0.0993710 0.164788i
\(271\) −5.78089 + 14.8481i −0.351164 + 0.901958i 0.639886 + 0.768470i \(0.278981\pi\)
−0.991050 + 0.133488i \(0.957382\pi\)
\(272\) −12.3518 + 2.87229i −0.748939 + 0.174158i
\(273\) 14.3204 + 6.05183i 0.866707 + 0.366273i
\(274\) −2.02455 1.30110i −0.122308 0.0786023i
\(275\) 1.01576 3.15725i 0.0612524 0.190389i
\(276\) −7.49742 + 4.81830i −0.451292 + 0.290028i
\(277\) 14.3871 2.48979i 0.864439 0.149597i 0.278978 0.960298i \(-0.410004\pi\)
0.585461 + 0.810701i \(0.300914\pi\)
\(278\) 0.128714 + 1.49858i 0.00771972 + 0.0898791i
\(279\) −5.15504 + 60.0191i −0.308624 + 3.59325i
\(280\) −1.18810 0.205609i −0.0710025 0.0122875i
\(281\) −2.42955 + 1.02674i −0.144935 + 0.0612501i −0.460531 0.887644i \(-0.652341\pi\)
0.315596 + 0.948894i \(0.397796\pi\)
\(282\) 2.57716 1.87242i 0.153468 0.111501i
\(283\) −12.0983 + 6.83223i −0.719170 + 0.406134i −0.807430 0.589964i \(-0.799142\pi\)
0.0882600 + 0.996097i \(0.471869\pi\)
\(284\) 0.0996441 + 3.48800i 0.00591279 + 0.206975i
\(285\) 3.32517 0.976357i 0.196966 0.0578344i
\(286\) −3.35473 + 0.790355i −0.198370 + 0.0467347i
\(287\) 13.3151 + 3.90968i 0.785968 + 0.230781i
\(288\) −5.15455 + 19.6099i −0.303735 + 1.15553i
\(289\) −0.934423 + 4.61156i −0.0549661 + 0.271268i
\(290\) −0.00126758 0.00240233i −7.44347e−5 0.000141069i
\(291\) −0.309950 + 10.8497i −0.0181696 + 0.636018i
\(292\) 3.28421 + 12.4944i 0.192194 + 0.731182i
\(293\) 17.5852 1.00556i 1.02734 0.0587454i 0.464717 0.885459i \(-0.346156\pi\)
0.562622 + 0.826714i \(0.309793\pi\)
\(294\) 3.09808 3.18785i 0.180684 0.185919i
\(295\) −11.2813 + 5.54666i −0.656825 + 0.322939i
\(296\) −3.48659 + 7.63457i −0.202654 + 0.443750i
\(297\) −34.6499 + 22.4102i −2.01059 + 1.30037i
\(298\) −1.18100 2.58604i −0.0684137 0.149805i
\(299\) 4.62218 + 3.77954i 0.267308 + 0.218576i
\(300\) −2.84833 + 5.39819i −0.164448 + 0.311665i
\(301\) −9.75463 5.50869i −0.562247 0.317516i
\(302\) −1.53052 + 0.175611i −0.0880715 + 0.0101053i
\(303\) 44.2004 5.07152i 2.53925 0.291351i
\(304\) −3.46068 1.95434i −0.198484 0.112089i
\(305\) 3.90526 7.40128i 0.223614 0.423796i
\(306\) −4.79114 3.91769i −0.273891 0.223960i
\(307\) −13.1011 28.6873i −0.747716 1.63727i −0.770427 0.637529i \(-0.779957\pi\)
0.0227102 0.999742i \(-0.492770\pi\)
\(308\) −1.07916 + 7.66317i −0.0614909 + 0.436650i
\(309\) −7.21855 + 15.8064i −0.410649 + 0.899196i
\(310\) −1.97809 + 0.972563i −0.112348 + 0.0552379i
\(311\) −9.65147 + 9.93113i −0.547285 + 0.563143i −0.933184 0.359398i \(-0.882982\pi\)
0.385900 + 0.922541i \(0.373891\pi\)
\(312\) 12.8760 0.736279i 0.728963 0.0416836i
\(313\) 3.84865 + 14.6418i 0.217538 + 0.827602i 0.982921 + 0.184027i \(0.0589133\pi\)
−0.765383 + 0.643575i \(0.777450\pi\)
\(314\) −0.000293426 0.0102712i −1.65590e−5 0.000579639i
\(315\) 3.90752 + 7.40557i 0.220164 + 0.417257i
\(316\) −3.32875 + 16.4280i −0.187257 + 0.924150i
\(317\) −3.85870 + 14.6800i −0.216726 + 0.824512i 0.766519 + 0.642222i \(0.221987\pi\)
−0.983245 + 0.182290i \(0.941649\pi\)
\(318\) 5.36492 + 1.57528i 0.300850 + 0.0883375i
\(319\) −0.0308159 + 0.0175204i −0.00172536 + 0.000980954i
\(320\) 6.22844 1.82884i 0.348181 0.102235i
\(321\) 1.39951 + 48.9891i 0.0781129 + 2.73431i
\(322\) −0.389550 + 0.219989i −0.0217088 + 0.0122595i
\(323\) 3.11731 2.26486i 0.173452 0.126020i
\(324\) 32.8051 13.8636i 1.82251 0.770198i
\(325\) 4.02918 + 0.697277i 0.223499 + 0.0386780i
\(326\) 0.477381 5.55804i 0.0264397 0.307832i
\(327\) 4.11592 + 47.9208i 0.227611 + 2.65003i
\(328\) 11.3436 1.96309i 0.626347 0.108394i
\(329\) −4.03122 + 2.59071i −0.222249 + 0.142830i
\(330\) −2.38877 1.16590i −0.131497 0.0641809i
\(331\) 17.1069 + 10.9939i 0.940280 + 0.604281i 0.918474 0.395481i \(-0.129422\pi\)
0.0218055 + 0.999762i \(0.493059\pi\)
\(332\) −11.7833 4.97965i −0.646690 0.273294i
\(333\) 56.7697 13.2012i 3.11096 0.723422i
\(334\) 2.17583 5.58856i 0.119056 0.305792i
\(335\) 0.877956 + 1.45593i 0.0479679 + 0.0795458i
\(336\) 4.24914 13.0775i 0.231810 0.713437i
\(337\) 1.74467 2.26252i 0.0950380 0.123247i −0.741982 0.670420i \(-0.766114\pi\)
0.837020 + 0.547172i \(0.184296\pi\)
\(338\) −0.343038 0.881086i −0.0186588 0.0479248i
\(339\) 16.8770 + 24.6818i 0.916633 + 1.34053i
\(340\) −0.965792 + 6.71723i −0.0523774 + 0.364293i
\(341\) 13.4981 + 25.4033i 0.730962 + 1.37566i
\(342\) −0.276040 1.91990i −0.0149265 0.103816i
\(343\) −11.1440 + 10.2279i −0.601719 + 0.552253i
\(344\) −9.27825 0.530549i −0.500250 0.0286053i
\(345\) 0.914470 + 4.51309i 0.0492334 + 0.242976i
\(346\) 1.91137 1.56292i 0.102756 0.0840232i
\(347\) −10.2667 5.04781i −0.551147 0.270981i 0.144330 0.989530i \(-0.453897\pi\)
−0.695476 + 0.718549i \(0.744807\pi\)
\(348\) 0.0614415 0.0219223i 0.00329361 0.00117516i
\(349\) −16.8338 21.8304i −0.901091 1.16856i −0.985081 0.172089i \(-0.944948\pi\)
0.0839905 0.996467i \(-0.473233\pi\)
\(350\) −0.158217 + 0.262374i −0.00845707 + 0.0140245i
\(351\) −33.3168 38.4496i −1.77832 2.05229i
\(352\) 3.01872 + 9.19993i 0.160898 + 0.490358i
\(353\) 12.8102 14.7837i 0.681816 0.786858i −0.304360 0.952557i \(-0.598443\pi\)
0.986176 + 0.165699i \(0.0529880\pi\)
\(354\) 3.11340 + 9.58205i 0.165475 + 0.509280i
\(355\) 1.69808 + 0.605874i 0.0901248 + 0.0321565i
\(356\) 3.92194 + 4.03558i 0.207862 + 0.213885i
\(357\) 9.82168 + 9.01426i 0.519818 + 0.477085i
\(358\) 0.608681 0.890168i 0.0321698 0.0470468i
\(359\) 36.7248 + 8.53999i 1.93826 + 0.450723i 0.991778 + 0.127973i \(0.0408470\pi\)
0.946484 + 0.322751i \(0.104608\pi\)
\(360\) 5.61962 + 4.08289i 0.296180 + 0.215187i
\(361\) −17.6764 2.02818i −0.930338 0.106746i
\(362\) −4.03504 −0.212077
\(363\) −14.2277 + 31.6379i −0.746761 + 1.66056i
\(364\) −9.54115 −0.500092
\(365\) 6.63148 + 0.760891i 0.347107 + 0.0398269i
\(366\) −5.42596 3.94219i −0.283619 0.206062i
\(367\) −25.7093 5.97844i −1.34201 0.312072i −0.506832 0.862045i \(-0.669183\pi\)
−0.835182 + 0.549973i \(0.814638\pi\)
\(368\) 2.98078 4.35925i 0.155384 0.227242i
\(369\) −58.8990 54.0570i −3.06616 2.81410i
\(370\) 1.48635 + 1.52942i 0.0772718 + 0.0795108i
\(371\) −7.92184 2.82651i −0.411282 0.146745i
\(372\) −16.3591 50.3481i −0.848180 2.61043i
\(373\) −7.94757 + 9.17198i −0.411510 + 0.474907i −0.923232 0.384244i \(-0.874462\pi\)
0.511722 + 0.859151i \(0.329008\pi\)
\(374\) −2.93715 0.328393i −0.151876 0.0169808i
\(375\) 2.06518 + 2.38335i 0.106645 + 0.123075i
\(376\) −2.05282 + 3.40421i −0.105866 + 0.175559i
\(377\) −0.0266879 0.0346095i −0.00137450 0.00178248i
\(378\) 3.59037 1.28104i 0.184669 0.0658896i
\(379\) −19.9553 9.81135i −1.02503 0.503975i −0.150331 0.988636i \(-0.548034\pi\)
−0.874702 + 0.484661i \(0.838943\pi\)
\(380\) −1.64648 + 1.34632i −0.0844628 + 0.0690649i
\(381\) −0.925075 4.56543i −0.0473930 0.233894i
\(382\) 1.02423 + 0.0585678i 0.0524044 + 0.00299659i
\(383\) 6.35430 5.83192i 0.324690 0.297997i −0.497210 0.867631i \(-0.665642\pi\)
0.821899 + 0.569633i \(0.192915\pi\)
\(384\) −3.36088 23.3755i −0.171509 1.19287i
\(385\) 3.48737 + 1.95611i 0.177733 + 0.0996927i
\(386\) −0.113396 + 0.788687i −0.00577170 + 0.0401431i
\(387\) 36.4274 + 53.2734i 1.85171 + 2.70804i
\(388\) −2.41677 6.20741i −0.122693 0.315134i
\(389\) −0.753438 + 0.977075i −0.0382008 + 0.0495397i −0.810615 0.585579i \(-0.800867\pi\)
0.772414 + 0.635119i \(0.219049\pi\)
\(390\) 1.01271 3.11679i 0.0512804 0.157825i
\(391\) 2.64390 + 4.38442i 0.133708 + 0.221730i
\(392\) −2.01259 + 5.16931i −0.101651 + 0.261089i
\(393\) −40.2587 + 9.36175i −2.03078 + 0.472238i
\(394\) 4.80864 + 2.03215i 0.242256 + 0.102378i
\(395\) 7.28578 + 4.68229i 0.366587 + 0.235591i
\(396\) 25.0575 36.8741i 1.25919 1.85299i
\(397\) 12.3316 7.92501i 0.618903 0.397745i −0.193283 0.981143i \(-0.561914\pi\)
0.812186 + 0.583398i \(0.198277\pi\)
\(398\) 2.39490 0.414454i 0.120045 0.0207747i
\(399\) 0.357537 + 4.16273i 0.0178992 + 0.208397i
\(400\) 0.309496 3.60339i 0.0154748 0.180170i
\(401\) 31.3110 + 5.41857i 1.56359 + 0.270591i 0.885590 0.464467i \(-0.153754\pi\)
0.678004 + 0.735058i \(0.262845\pi\)
\(402\) 1.25511 0.530416i 0.0625994 0.0264547i
\(403\) −28.6930 + 20.8467i −1.42930 + 1.03845i
\(404\) −23.7751 + 13.4264i −1.18286 + 0.667989i
\(405\) −0.525470 18.3939i −0.0261108 0.913998i
\(406\) 0.00314204 0.000922585i 0.000155937 4.57871e-5i
\(407\) 19.3399 20.0159i 0.958641 0.992150i
\(408\) 10.6113 + 3.11576i 0.525337 + 0.154253i
\(409\) 4.27558 16.2660i 0.211414 0.804301i −0.773866 0.633350i \(-0.781680\pi\)
0.985279 0.170951i \(-0.0546841\pi\)
\(410\) 0.580935 2.86703i 0.0286903 0.141592i
\(411\) −13.9364 26.4124i −0.687432 1.30283i
\(412\) 0.304531 10.6600i 0.0150032 0.525179i
\(413\) −3.85287 14.6579i −0.189588 0.721266i
\(414\) 2.57307 0.147134i 0.126460 0.00723122i
\(415\) −4.60646 + 4.73993i −0.226122 + 0.232674i
\(416\) −10.7128 + 5.26712i −0.525237 + 0.258242i
\(417\) −7.75356 + 16.9779i −0.379693 + 0.831412i
\(418\) −0.608587 0.698251i −0.0297669 0.0341526i
\(419\) 5.65924 + 12.3920i 0.276472 + 0.605389i 0.996028 0.0890457i \(-0.0283817\pi\)
−0.719556 + 0.694435i \(0.755654\pi\)
\(420\) −5.69647 4.65798i −0.277959 0.227286i
\(421\) 14.8388 28.1226i 0.723199 1.37061i −0.197486 0.980306i \(-0.563278\pi\)
0.920684 0.390308i \(-0.127632\pi\)
\(422\) −5.75225 3.24845i −0.280015 0.158132i
\(423\) 27.4258 3.14682i 1.33349 0.153003i
\(424\) −6.93207 + 0.795380i −0.336651 + 0.0386271i
\(425\) 3.05317 + 1.72420i 0.148100 + 0.0836362i
\(426\) 0.674316 1.27797i 0.0326707 0.0619179i
\(427\) 7.81025 + 6.38641i 0.377964 + 0.309060i
\(428\) −12.4947 27.3595i −0.603952 1.32247i
\(429\) −41.0713 11.9306i −1.98294 0.576014i
\(430\) −0.980994 + 2.14808i −0.0473077 + 0.103590i
\(431\) 14.7857 7.26964i 0.712202 0.350166i −0.0488952 0.998804i \(-0.515570\pi\)
0.761097 + 0.648638i \(0.224661\pi\)
\(432\) −31.3611 + 32.2698i −1.50886 + 1.55258i
\(433\) 3.95569 0.226195i 0.190099 0.0108702i 0.0382198 0.999269i \(-0.487831\pi\)
0.151879 + 0.988399i \(0.451468\pi\)
\(434\) −0.675570 2.57014i −0.0324284 0.123370i
\(435\) 0.000962513 0.0336923i 4.61490e−5 0.00161542i
\(436\) −13.7750 26.1066i −0.659704 1.25028i
\(437\) −0.318657 + 1.57263i −0.0152434 + 0.0752292i
\(438\) 1.35998 5.17392i 0.0649826 0.247219i
\(439\) 19.8325 + 5.82336i 0.946555 + 0.277934i 0.718352 0.695680i \(-0.244897\pi\)
0.228203 + 0.973614i \(0.426715\pi\)
\(440\) 3.31219 + 0.179779i 0.157903 + 0.00857061i
\(441\) 36.9620 10.8530i 1.76009 0.516810i
\(442\) −0.104052 3.64229i −0.00494924 0.173246i
\(443\) 2.34487 1.32421i 0.111408 0.0629150i −0.435022 0.900420i \(-0.643259\pi\)
0.546430 + 0.837505i \(0.315987\pi\)
\(444\) −41.4382 + 30.1067i −1.96657 + 1.42880i
\(445\) 2.67825 1.13184i 0.126961 0.0536542i
\(446\) −6.58878 1.14023i −0.311988 0.0539916i
\(447\) 3.01896 35.1491i 0.142792 1.66250i
\(448\) 0.669710 + 7.79730i 0.0316408 + 0.368388i
\(449\) −27.8223 + 4.81483i −1.31301 + 0.227226i −0.783668 0.621180i \(-0.786654\pi\)
−0.529346 + 0.848406i \(0.677563\pi\)
\(450\) 1.48486 0.954262i 0.0699970 0.0449844i
\(451\) −37.6362 6.40103i −1.77222 0.301413i
\(452\) −15.4371 9.92084i −0.726102 0.466637i
\(453\) −17.6092 7.44169i −0.827350 0.349641i
\(454\) −0.0428533 + 0.00996511i −0.00201121 + 0.000467686i
\(455\) −1.78856 + 4.59388i −0.0838489 + 0.215364i
\(456\) 1.78984 + 2.96811i 0.0838169 + 0.138995i
\(457\) 9.83794 30.2781i 0.460199 1.41635i −0.404721 0.914440i \(-0.632632\pi\)
0.864921 0.501908i \(-0.167368\pi\)
\(458\) −3.02512 + 3.92305i −0.141355 + 0.183312i
\(459\) −15.8280 40.6539i −0.738787 1.89756i
\(460\) −1.59513 2.33280i −0.0743734 0.108768i
\(461\) −1.49903 + 10.4260i −0.0698169 + 0.485587i 0.924674 + 0.380761i \(0.124338\pi\)
−0.994491 + 0.104827i \(0.966571\pi\)
\(462\) 1.94953 2.54339i 0.0907005 0.118329i
\(463\) −2.30285 16.0167i −0.107023 0.744359i −0.970697 0.240308i \(-0.922751\pi\)
0.863674 0.504051i \(-0.168158\pi\)
\(464\) −0.0284788 + 0.0261376i −0.00132210 + 0.00121341i
\(465\) −27.3083 1.56154i −1.26639 0.0724148i
\(466\) 0.393031 + 1.93968i 0.0182068 + 0.0898542i
\(467\) 17.0953 13.9787i 0.791074 0.646858i −0.148612 0.988896i \(-0.547481\pi\)
0.939686 + 0.342038i \(0.111117\pi\)
\(468\) 49.3259 + 24.2519i 2.28009 + 1.12105i
\(469\) −1.93050 + 0.688802i −0.0891423 + 0.0318059i
\(470\) 0.616831 + 0.799921i 0.0284523 + 0.0368976i
\(471\) −0.0658454 + 0.109192i −0.00303400 + 0.00503132i
\(472\) −8.23346 9.50192i −0.378976 0.437361i
\(473\) 28.4224 + 11.9145i 1.30686 + 0.547830i
\(474\) 4.54543 5.24570i 0.208778 0.240943i
\(475\) 0.339582 + 1.04513i 0.0155811 + 0.0479537i
\(476\) −7.70575 2.74941i −0.353192 0.126019i
\(477\) 33.7699 + 34.7484i 1.54622 + 1.59102i
\(478\) −1.80301 1.65479i −0.0824678 0.0756883i
\(479\) −12.2925 + 17.9772i −0.561657 + 0.821398i −0.996881 0.0789249i \(-0.974851\pi\)
0.435223 + 0.900323i \(0.356669\pi\)
\(480\) −8.96739 2.08528i −0.409303 0.0951794i
\(481\) 27.7615 + 20.1699i 1.26581 + 0.919668i
\(482\) −0.681861 0.0782363i −0.0310579 0.00356356i
\(483\) −5.55154 −0.252604
\(484\) 0.484709 21.2840i 0.0220322 0.967456i
\(485\) −3.44179 −0.156283
\(486\) −5.22758 0.599809i −0.237128 0.0272079i
\(487\) 2.37440 + 1.72510i 0.107594 + 0.0781717i 0.640281 0.768140i \(-0.278818\pi\)
−0.532687 + 0.846312i \(0.678818\pi\)
\(488\) 8.15201 + 1.89567i 0.369024 + 0.0858128i
\(489\) 39.0733 57.1428i 1.76695 2.58409i
\(490\) 1.03849 + 0.953122i 0.0469144 + 0.0430576i
\(491\) 20.6379 + 21.2359i 0.931375 + 0.958362i 0.999226 0.0393336i \(-0.0125235\pi\)
−0.0678516 + 0.997695i \(0.521614\pi\)
\(492\) 66.1704 + 23.6096i 2.98319 + 1.06440i
\(493\) −0.0115809 0.0356422i −0.000521576 0.00160525i
\(494\) 0.747831 0.863043i 0.0336465 0.0388301i
\(495\) −13.0569 18.9770i −0.586866 0.852953i
\(496\) 20.5424 + 23.7071i 0.922379 + 1.06448i
\(497\) −1.12245 + 1.86137i −0.0503486 + 0.0834938i
\(498\) 3.23475 + 4.19490i 0.144953 + 0.187978i
\(499\) −7.34612 + 2.62109i −0.328858 + 0.117336i −0.495317 0.868712i \(-0.664948\pi\)
0.166460 + 0.986048i \(0.446766\pi\)
\(500\) −1.73684 0.853946i −0.0776738 0.0381896i
\(501\) 57.6115 47.1087i 2.57389 2.10466i
\(502\) 0.991031 + 4.89093i 0.0442319 + 0.218293i
\(503\) 2.14262 + 0.122520i 0.0955349 + 0.00546288i 0.104791 0.994494i \(-0.466583\pi\)
−0.00925599 + 0.999957i \(0.502946\pi\)
\(504\) −6.16974 + 5.66253i −0.274822 + 0.252229i
\(505\) 2.00774 + 13.9641i 0.0893432 + 0.621396i
\(506\) 0.993590 0.726290i 0.0441705 0.0322875i
\(507\) 1.66977 11.6135i 0.0741572 0.515775i
\(508\) 1.61363 + 2.35986i 0.0715932 + 0.104702i
\(509\) −11.7894 30.2808i −0.522555 1.34217i −0.907818 0.419365i \(-0.862253\pi\)
0.385262 0.922807i \(-0.374111\pi\)
\(510\) 1.71604 2.22540i 0.0759874 0.0985423i
\(511\) −2.48677 + 7.65348i −0.110008 + 0.338570i
\(512\) 9.18812 + 15.2368i 0.406061 + 0.673377i
\(513\) 4.96054 12.7410i 0.219013 0.562531i
\(514\) −6.23925 + 1.45087i −0.275201 + 0.0639953i
\(515\) −5.07548 2.14491i −0.223652 0.0945162i
\(516\) −47.7119 30.6626i −2.10040 1.34984i
\(517\) 10.1811 8.37432i 0.447763 0.368302i
\(518\) −2.16300 + 1.39008i −0.0950370 + 0.0610766i
\(519\) 30.1897 5.22453i 1.32518 0.229332i
\(520\) 0.349969 + 4.07461i 0.0153471 + 0.178684i
\(521\) −3.07079 + 35.7525i −0.134534 + 1.56635i 0.548620 + 0.836072i \(0.315154\pi\)
−0.683153 + 0.730275i \(0.739392\pi\)
\(522\) −0.0185888 0.00321691i −0.000813608 0.000140800i
\(523\) −32.7003 + 13.8193i −1.42988 + 0.604274i −0.960390 0.278661i \(-0.910109\pi\)
−0.469495 + 0.882935i \(0.655564\pi\)
\(524\) 20.5219 14.9100i 0.896503 0.651348i
\(525\) −3.31057 + 1.86957i −0.144485 + 0.0815945i
\(526\) −0.164635 5.76297i −0.00717842 0.251278i
\(527\) −29.1807 + 8.56821i −1.27113 + 0.373237i
\(528\) −7.40490 + 37.0961i −0.322257 + 1.61440i
\(529\) 20.0226 + 5.87917i 0.870549 + 0.255616i
\(530\) −0.450733 + 1.71477i −0.0195786 + 0.0744847i
\(531\) −17.3391 + 85.5716i −0.752451 + 3.71349i
\(532\) −1.19659 2.26780i −0.0518789 0.0983214i
\(533\) 1.34408 47.0488i 0.0582184 2.03791i
\(534\) −0.592402 2.25373i −0.0256357 0.0975284i
\(535\) −15.5153 + 0.887195i −0.670783 + 0.0383568i
\(536\) −1.18506 + 1.21940i −0.0511868 + 0.0526700i
\(537\) 12.0087 5.90429i 0.518214 0.254789i
\(538\) −0.430759 + 0.943230i −0.0185713 + 0.0406655i
\(539\) 12.0064 13.9374i 0.517151 0.600327i
\(540\) 10.0034 + 21.9043i 0.430476 + 0.942611i
\(541\) −23.3942 19.1293i −1.00580 0.822435i −0.0216440 0.999766i \(-0.506890\pi\)
−0.984151 + 0.177331i \(0.943254\pi\)
\(542\) −1.88970 + 3.58138i −0.0811697 + 0.153834i
\(543\) −43.5994 24.6217i −1.87103 1.05662i
\(544\) −10.1698 + 1.16687i −0.436026 + 0.0500293i
\(545\) −15.1520 + 1.73853i −0.649042 + 0.0744706i
\(546\) 3.44029 + 1.94282i 0.147231 + 0.0831450i
\(547\) −6.98266 + 13.2336i −0.298557 + 0.565829i −0.987241 0.159233i \(-0.949098\pi\)
0.688684 + 0.725062i \(0.258189\pi\)
\(548\) 14.1882 + 11.6017i 0.606092 + 0.495599i
\(549\) −24.1444 52.8688i −1.03046 2.25638i
\(550\) 0.347922 0.767718i 0.0148355 0.0327356i
\(551\) 0.00487915 0.0106839i 0.000207859 0.000455147i
\(552\) −4.13290 + 2.03201i −0.175908 + 0.0864880i
\(553\) −7.27688 + 7.48774i −0.309445 + 0.318411i
\(554\) 3.70459 0.211836i 0.157393 0.00900006i
\(555\) 6.72786 + 25.5954i 0.285582 + 1.08646i
\(556\) 0.327101 11.4500i 0.0138722 0.485589i
\(557\) 2.15461 + 4.08344i 0.0912938 + 0.173021i 0.925839 0.377919i \(-0.123360\pi\)
−0.834545 + 0.550940i \(0.814269\pi\)
\(558\) −3.04026 + 15.0043i −0.128705 + 0.635182i
\(559\) −9.65935 + 36.7480i −0.408547 + 1.55427i
\(560\) 4.18361 + 1.22842i 0.176790 + 0.0519102i
\(561\) −29.7326 21.4708i −1.25531 0.906497i
\(562\) −0.643158 + 0.188848i −0.0271300 + 0.00796609i
\(563\) −0.927587 32.4698i −0.0390931 1.36844i −0.748264 0.663401i \(-0.769112\pi\)
0.709171 0.705037i \(-0.249069\pi\)
\(564\) −21.1243 + 11.9294i −0.889493 + 0.502320i
\(565\) −7.67050 + 5.57294i −0.322700 + 0.234455i
\(566\) −3.25251 + 1.37452i −0.136713 + 0.0577755i
\(567\) 21.8597 + 3.78297i 0.918022 + 0.158870i
\(568\) −0.154307 + 1.79656i −0.00647456 + 0.0753819i
\(569\) −2.22758 25.9352i −0.0933850 1.08726i −0.881643 0.471917i \(-0.843562\pi\)
0.788258 0.615345i \(-0.210983\pi\)
\(570\) 0.867824 0.150183i 0.0363491 0.00629047i
\(571\) 29.1064 18.7056i 1.21807 0.782803i 0.236076 0.971735i \(-0.424139\pi\)
0.981990 + 0.188931i \(0.0605023\pi\)
\(572\) 26.0680 3.06752i 1.08996 0.128260i
\(573\) 10.7097 + 6.88269i 0.447403 + 0.287529i
\(574\) 3.24855 + 1.37285i 0.135592 + 0.0573016i
\(575\) −1.42222 + 0.330723i −0.0593106 + 0.0137921i
\(576\) 16.3571 42.0128i 0.681545 1.75053i
\(577\) 1.78484 + 2.95983i 0.0743039 + 0.123219i 0.891282 0.453450i \(-0.149807\pi\)
−0.816978 + 0.576669i \(0.804352\pi\)
\(578\) −0.369518 + 1.13726i −0.0153699 + 0.0473037i
\(579\) −6.03782 + 7.82998i −0.250923 + 0.325403i
\(580\) 0.00750499 + 0.0192764i 0.000311628 + 0.000800409i
\(581\) −4.49776 6.57776i −0.186598 0.272891i
\(582\) −0.392564 + 2.73034i −0.0162723 + 0.113176i
\(583\) 22.5526 + 5.17559i 0.934032 + 0.214351i
\(584\) 0.950077 + 6.60793i 0.0393145 + 0.273438i
\(585\) 20.9233 19.2033i 0.865073 0.793957i
\(586\) 4.46905 + 0.255549i 0.184615 + 0.0105567i
\(587\) 3.03387 + 14.9727i 0.125221 + 0.617990i 0.992709 + 0.120533i \(0.0384603\pi\)
−0.867488 + 0.497458i \(0.834267\pi\)
\(588\) −26.2075 + 21.4297i −1.08078 + 0.883748i
\(589\) −8.55346 4.20545i −0.352439 0.173283i
\(590\) −3.00900 + 1.07361i −0.123879 + 0.0441998i
\(591\) 39.5582 + 51.3000i 1.62721 + 2.11020i
\(592\) 15.6730 25.9908i 0.644157 1.06821i
\(593\) 12.3043 + 14.1999i 0.505277 + 0.583120i 0.949883 0.312606i \(-0.101202\pi\)
−0.444606 + 0.895726i \(0.646656\pi\)
\(594\) −9.39763 + 4.65434i −0.385590 + 0.190970i
\(595\) −2.76828 + 3.19477i −0.113489 + 0.130973i
\(596\) 6.69049 + 20.5912i 0.274053 + 0.843448i
\(597\) 28.4064 + 10.1354i 1.16260 + 0.414813i
\(598\) 1.05752 + 1.08816i 0.0432451 + 0.0444982i
\(599\) −18.8277 17.2799i −0.769280 0.706038i 0.192066 0.981382i \(-0.438481\pi\)
−0.961346 + 0.275344i \(0.911208\pi\)
\(600\) −1.78028 + 2.60357i −0.0726795 + 0.106290i
\(601\) −9.72148 2.26063i −0.396548 0.0922132i 0.0234805 0.999724i \(-0.492525\pi\)
−0.420028 + 0.907511i \(0.637980\pi\)
\(602\) −2.30327 1.67342i −0.0938742 0.0682036i
\(603\) 11.7311 + 1.34602i 0.477729 + 0.0548143i
\(604\) 11.7324 0.477383
\(605\) −10.1570 4.22323i −0.412940 0.171699i
\(606\) 11.3066 0.459301
\(607\) −19.5528 2.24348i −0.793625 0.0910600i −0.292309 0.956324i \(-0.594423\pi\)
−0.501316 + 0.865264i \(0.667151\pi\)
\(608\) −2.59545 1.88571i −0.105259 0.0764755i
\(609\) 0.0395799 + 0.00920392i 0.00160386 + 0.000372962i
\(610\) 1.20041 1.75555i 0.0486032 0.0710799i
\(611\) 11.9742 + 10.9898i 0.484425 + 0.444601i
\(612\) 32.8487 + 33.8006i 1.32783 + 1.36631i
\(613\) 37.9966 + 13.5572i 1.53467 + 0.547569i 0.962197 0.272356i \(-0.0878028\pi\)
0.572472 + 0.819924i \(0.305985\pi\)
\(614\) −2.47670 7.62251i −0.0999516 0.307619i
\(615\) 23.7717 27.4340i 0.958566 1.10624i
\(616\) −1.00543 + 3.87059i −0.0405099 + 0.155951i
\(617\) −0.593429 0.684854i −0.0238906 0.0275712i 0.743679 0.668537i \(-0.233079\pi\)
−0.767569 + 0.640966i \(0.778534\pi\)
\(618\) −2.28045 + 3.78169i −0.0917330 + 0.152122i
\(619\) −9.86827 12.7974i −0.396639 0.514371i 0.550656 0.834732i \(-0.314378\pi\)
−0.947296 + 0.320361i \(0.896196\pi\)
\(620\) 15.8106 5.64119i 0.634967 0.226556i
\(621\) 16.3034 + 8.01582i 0.654231 + 0.321664i
\(622\) −2.72451 + 2.22782i −0.109243 + 0.0893273i
\(623\) 0.696135 + 3.43556i 0.0278901 + 0.137643i
\(624\) −46.5620 2.66251i −1.86397 0.106586i
\(625\) −0.736741 + 0.676175i −0.0294696 + 0.0270470i
\(626\) 0.547544 + 3.80825i 0.0218843 + 0.152208i
\(627\) −2.31519 11.2583i −0.0924597 0.449615i
\(628\) 0.0111367 0.0774575i 0.000444403 0.00309089i
\(629\) 16.6089 + 24.2897i 0.662239 + 0.968494i
\(630\) 0.772036 + 1.98296i 0.0307587 + 0.0790030i
\(631\) −6.89760 + 8.94497i −0.274589 + 0.356094i −0.908922 0.416967i \(-0.863093\pi\)
0.634333 + 0.773060i \(0.281275\pi\)
\(632\) −2.67664 + 8.23784i −0.106471 + 0.327684i
\(633\) −42.3323 70.2003i −1.68256 2.79021i
\(634\) −1.39952 + 3.59463i −0.0555819 + 0.142761i
\(635\) 1.43871 0.334558i 0.0570935 0.0132765i
\(636\) −39.2234 16.5760i −1.55531 0.657280i
\(637\) 19.0798 + 12.2618i 0.755968 + 0.485831i
\(638\) −0.00828796 + 0.00353084i −0.000328123 + 0.000139787i
\(639\) 10.5341 6.76986i 0.416723 0.267812i
\(640\) 7.37881 1.27695i 0.291673 0.0504760i
\(641\) −1.46135 17.0142i −0.0577200 0.672022i −0.966822 0.255449i \(-0.917777\pi\)
0.909103 0.416572i \(-0.136769\pi\)
\(642\) −1.06584 + 12.4093i −0.0420653 + 0.489757i
\(643\) −21.0044 3.63496i −0.828334 0.143349i −0.259440 0.965759i \(-0.583538\pi\)
−0.568895 + 0.822410i \(0.692629\pi\)
\(644\) 3.13831 1.32626i 0.123667 0.0522621i
\(645\) −23.7074 + 17.2244i −0.933477 + 0.678211i
\(646\) 0.852670 0.481525i 0.0335479 0.0189454i
\(647\) 0.806986 + 28.2482i 0.0317259 + 1.11055i 0.847039 + 0.531531i \(0.178383\pi\)
−0.815313 + 0.579020i \(0.803435\pi\)
\(648\) 17.6583 5.18496i 0.693685 0.203684i
\(649\) 15.2393 + 38.8090i 0.598194 + 1.52339i
\(650\) 0.997088 + 0.292772i 0.0391090 + 0.0114834i
\(651\) 8.38324 31.8932i 0.328565 1.24999i
\(652\) −8.43690 + 41.6377i −0.330414 + 1.63066i
\(653\) −16.1983 30.6992i −0.633889 1.20135i −0.966105 0.258150i \(-0.916887\pi\)
0.332215 0.943204i \(-0.392204\pi\)
\(654\) −0.349049 + 12.2183i −0.0136489 + 0.477773i
\(655\) −3.33191 12.6759i −0.130188 0.495288i
\(656\) −41.5624 + 2.37662i −1.62274 + 0.0927915i
\(657\) 32.3099 33.2461i 1.26053 1.29705i
\(658\) −1.09286 + 0.537321i −0.0426040 + 0.0209470i
\(659\) −6.87820 + 15.0612i −0.267937 + 0.586700i −0.995000 0.0998703i \(-0.968157\pi\)
0.727064 + 0.686570i \(0.240884\pi\)
\(660\) 17.0613 + 10.8950i 0.664110 + 0.424086i
\(661\) −3.10161 6.79157i −0.120639 0.264162i 0.839672 0.543093i \(-0.182747\pi\)
−0.960311 + 0.278932i \(0.910020\pi\)
\(662\) 4.00066 + 3.27133i 0.155490 + 0.127144i
\(663\) 21.1009 39.9906i 0.819490 1.55311i
\(664\) −5.75603 3.25058i −0.223377 0.126147i
\(665\) −1.31621 + 0.151021i −0.0510404 + 0.00585634i
\(666\) 14.7157 1.68846i 0.570220 0.0654266i
\(667\) 0.0135892 + 0.00767416i 0.000526175 + 0.000297145i
\(668\) −21.3138 + 40.3942i −0.824657 + 1.56290i
\(669\) −64.2354 52.5250i −2.48349 2.03074i
\(670\) 0.179489 + 0.393027i 0.00693428 + 0.0151839i
\(671\) −23.3922 14.9377i −0.903046 0.576665i
\(672\) 4.61091 10.0965i 0.177870 0.389480i
\(673\) 20.7723 10.2130i 0.800712 0.393684i 0.00547714 0.999985i \(-0.498257\pi\)
0.795235 + 0.606301i \(0.207347\pi\)
\(674\) 0.506037 0.520700i 0.0194918 0.0200566i
\(675\) 12.4217 0.710298i 0.478111 0.0273394i
\(676\) 1.83054 + 6.96410i 0.0704054 + 0.267850i
\(677\) −0.458358 + 16.0446i −0.0176161 + 0.616645i 0.942045 + 0.335486i \(0.108901\pi\)
−0.959661 + 0.281159i \(0.909281\pi\)
\(678\) 3.54609 + 6.72059i 0.136187 + 0.258103i
\(679\) 0.824033 4.06676i 0.0316235 0.156068i
\(680\) −0.891506 + 3.39164i −0.0341877 + 0.130063i
\(681\) −0.523846 0.153815i −0.0200738 0.00589420i
\(682\) 2.67208 + 6.80485i 0.102319 + 0.260571i
\(683\) 34.3536 10.0871i 1.31450 0.385973i 0.451997 0.892019i \(-0.350712\pi\)
0.862506 + 0.506046i \(0.168893\pi\)
\(684\) 0.421819 + 14.7656i 0.0161287 + 0.564577i
\(685\) 8.24566 4.65654i 0.315051 0.177917i
\(686\) −3.10994 + 2.25950i −0.118738 + 0.0862681i
\(687\) −56.6255 + 23.9301i −2.16040 + 0.912991i
\(688\) 33.1144 + 5.73067i 1.26247 + 0.218480i
\(689\) −2.44127 + 28.4232i −0.0930050 + 1.08284i
\(690\) 0.100144 + 1.16596i 0.00381242 + 0.0443872i
\(691\) 50.3879 8.71996i 1.91684 0.331723i 0.918827 0.394659i \(-0.129137\pi\)
0.998018 + 0.0629364i \(0.0200465\pi\)
\(692\) −15.8183 + 10.1658i −0.601320 + 0.386445i
\(693\) 25.5490 10.8844i 0.970528 0.413464i
\(694\) −2.44591 1.57189i −0.0928456 0.0596682i
\(695\) −5.45164 2.30388i −0.206793 0.0873913i
\(696\) 0.0328345 0.00763534i 0.00124459 0.000289417i
\(697\) 14.6433 37.6109i 0.554653 1.42461i
\(698\) −3.61778 5.99941i −0.136935 0.227081i
\(699\) −7.58914 + 23.3570i −0.287048 + 0.883441i
\(700\) 1.42484 1.84777i 0.0538540 0.0698391i
\(701\) 9.25359 + 23.7677i 0.349503 + 0.897692i 0.991396 + 0.130897i \(0.0417858\pi\)
−0.641893 + 0.766795i \(0.721851\pi\)
\(702\) −7.29797 10.6729i −0.275444 0.402824i
\(703\) −1.31242 + 9.12810i −0.0494989 + 0.344273i
\(704\) −4.33663 21.0882i −0.163443 0.794793i
\(705\) 1.78389 + 12.4072i 0.0671850 + 0.467282i
\(706\) 3.66259 3.36149i 0.137843 0.126512i
\(707\) −16.9805 0.970980i −0.638617 0.0365175i
\(708\) −15.2376 75.2006i −0.572665 2.82621i
\(709\) 15.5155 12.6870i 0.582697 0.476469i −0.295123 0.955459i \(-0.595361\pi\)
0.877820 + 0.478990i \(0.158997\pi\)
\(710\) 0.411180 + 0.202164i 0.0154313 + 0.00758707i
\(711\) 56.6526 20.2136i 2.12464 0.758069i
\(712\) 1.77575 + 2.30283i 0.0665490 + 0.0863023i
\(713\) 6.54003 10.8454i 0.244926 0.406164i
\(714\) 2.21864 + 2.56045i 0.0830306 + 0.0958224i
\(715\) 3.40969 13.1263i 0.127515 0.490895i
\(716\) −5.37805 + 6.20661i −0.200987 + 0.231952i
\(717\) −9.38442 28.8823i −0.350468 1.07863i
\(718\) 9.02489 + 3.22008i 0.336806 + 0.120172i
\(719\) 1.33769 + 1.37645i 0.0498874 + 0.0513329i 0.741616 0.670825i \(-0.234060\pi\)
−0.691729 + 0.722158i \(0.743151\pi\)
\(720\) −18.5061 16.9847i −0.689680 0.632982i
\(721\) 3.74957 5.48357i 0.139641 0.204219i
\(722\) −4.40419 1.02415i −0.163907 0.0381149i
\(723\) −6.89025 5.00606i −0.256251 0.186177i
\(724\) 30.5291 + 3.50289i 1.13461 + 0.130184i
\(725\) 0.0106881 0.000396945
\(726\) −4.50874 + 7.57577i −0.167335 + 0.281163i
\(727\) −44.4786 −1.64962 −0.824810 0.565411i \(-0.808718\pi\)
−0.824810 + 0.565411i \(0.808718\pi\)
\(728\) −4.89829 0.562027i −0.181543 0.0208301i
\(729\) −8.16400 5.93149i −0.302370 0.219685i
\(730\) 1.65227 + 0.384220i 0.0611534 + 0.0142206i
\(731\) −18.3906 + 26.8954i −0.680202 + 0.994763i
\(732\) 37.6305 + 34.5370i 1.39086 + 1.27652i
\(733\) −20.6874 21.2869i −0.764108 0.786249i 0.217722 0.976011i \(-0.430137\pi\)
−0.981830 + 0.189762i \(0.939228\pi\)
\(734\) −6.31790 2.25422i −0.233198 0.0832048i
\(735\) 5.40522 + 16.6355i 0.199374 + 0.613611i
\(736\) 2.79154 3.22161i 0.102897 0.118750i
\(737\) 5.05301 2.50259i 0.186130 0.0921840i
\(738\) −13.3048 15.3546i −0.489758 0.565211i
\(739\) −15.2897 + 25.3551i −0.562440 + 0.932702i 0.437007 + 0.899458i \(0.356038\pi\)
−0.999447 + 0.0332439i \(0.989416\pi\)
\(740\) −9.91803 12.8619i −0.364594 0.472814i
\(741\) 13.3467 4.76211i 0.490305 0.174940i
\(742\) −1.91823 0.943129i −0.0704203 0.0346233i
\(743\) −21.6332 + 17.6894i −0.793647 + 0.648962i −0.940346 0.340219i \(-0.889499\pi\)
0.146699 + 0.989181i \(0.453135\pi\)
\(744\) −5.43275 26.8117i −0.199174 0.982963i
\(745\) 11.1684 + 0.638634i 0.409180 + 0.0233978i
\(746\) −2.27231 + 2.08551i −0.0831952 + 0.0763559i
\(747\) 6.53303 + 45.4383i 0.239031 + 1.66250i
\(748\) 21.9374 + 5.03441i 0.802110 + 0.184076i
\(749\) 2.66637 18.5450i 0.0974271 0.677620i
\(750\) 0.452373 + 0.661575i 0.0165183 + 0.0241573i
\(751\) 13.4355 + 34.5089i 0.490269 + 1.25925i 0.932117 + 0.362156i \(0.117959\pi\)
−0.441848 + 0.897090i \(0.645677\pi\)
\(752\) 8.77821 11.3838i 0.320108 0.415124i
\(753\) −19.1361 + 58.8948i −0.697357 + 2.14624i
\(754\) −0.00573555 0.00951135i −0.000208877 0.000346383i
\(755\) 2.19932 5.64890i 0.0800414 0.205585i
\(756\) −28.2768 + 6.57549i −1.02842 + 0.239148i
\(757\) −6.24274 2.63821i −0.226896 0.0958872i 0.272858 0.962054i \(-0.412031\pi\)
−0.499755 + 0.866167i \(0.666576\pi\)
\(758\) −4.75408 3.05526i −0.172676 0.110972i
\(759\) 15.1678 1.78485i 0.550555 0.0647858i
\(760\) −0.924587 + 0.594196i −0.0335383 + 0.0215537i
\(761\) 22.1626 3.83540i 0.803395 0.139033i 0.245989 0.969273i \(-0.420887\pi\)
0.557407 + 0.830240i \(0.311796\pi\)
\(762\) −0.101306 1.17948i −0.00366991 0.0427280i
\(763\) 1.57348 18.3197i 0.0569637 0.663216i
\(764\) −7.69851 1.33228i −0.278522 0.0482002i
\(765\) 22.4320 9.47986i 0.811032 0.342745i
\(766\) 1.77328 1.28837i 0.0640713 0.0465505i
\(767\) −44.7601 + 25.2772i −1.61619 + 0.912707i
\(768\) 0.997779 + 34.9268i 0.0360043 + 1.26031i
\(769\) 7.67741 2.25429i 0.276854 0.0812918i −0.140358 0.990101i \(-0.544825\pi\)
0.417212 + 0.908809i \(0.363007\pi\)
\(770\) 0.823824 + 0.594907i 0.0296886 + 0.0214390i
\(771\) −76.2695 22.3948i −2.74678 0.806527i
\(772\) 1.54263 5.86876i 0.0555204 0.211221i
\(773\)