Properties

Label 588.2.ba.a.187.28
Level $588$
Weight $2$
Character 588.187
Analytic conductor $4.695$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.ba (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(28\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 187.28
Character \(\chi\) \(=\) 588.187
Dual form 588.2.ba.a.283.28

$q$-expansion

\(f(q)\) \(=\) \(q+(1.41414 - 0.0148433i) q^{2} +(0.988831 + 0.149042i) q^{3} +(1.99956 - 0.0419808i) q^{4} +(2.69617 - 1.05817i) q^{5} +(1.40055 + 0.196089i) q^{6} +(-2.61576 - 0.397253i) q^{7} +(2.82703 - 0.0890465i) q^{8} +(0.955573 + 0.294755i) q^{9} +O(q^{10})\) \(q+(1.41414 - 0.0148433i) q^{2} +(0.988831 + 0.149042i) q^{3} +(1.99956 - 0.0419808i) q^{4} +(2.69617 - 1.05817i) q^{5} +(1.40055 + 0.196089i) q^{6} +(-2.61576 - 0.397253i) q^{7} +(2.82703 - 0.0890465i) q^{8} +(0.955573 + 0.294755i) q^{9} +(3.79705 - 1.53642i) q^{10} +(1.39197 + 4.51267i) q^{11} +(1.98348 + 0.256507i) q^{12} +(-6.59678 - 1.50567i) q^{13} +(-3.70493 - 0.522943i) q^{14} +(2.82377 - 0.644508i) q^{15} +(3.99648 - 0.167886i) q^{16} +(3.43363 - 5.03621i) q^{17} +(1.35568 + 0.402640i) q^{18} +(-2.96767 + 5.14015i) q^{19} +(5.34674 - 2.22906i) q^{20} +(-2.52733 - 0.782675i) q^{21} +(2.03542 + 6.36087i) q^{22} +(-2.40805 - 3.53196i) q^{23} +(2.80872 + 0.333294i) q^{24} +(2.48437 - 2.30516i) q^{25} +(-9.35109 - 2.03131i) q^{26} +(0.900969 + 0.433884i) q^{27} +(-5.24704 - 0.684520i) q^{28} +(-5.60179 + 2.69768i) q^{29} +(3.98363 - 0.953335i) q^{30} +(-0.948993 - 1.64370i) q^{31} +(5.64907 - 0.296734i) q^{32} +(0.703849 + 4.66973i) q^{33} +(4.78087 - 7.17285i) q^{34} +(-7.47290 + 1.69685i) q^{35} +(1.92310 + 0.549265i) q^{36} +(0.487943 - 6.51115i) q^{37} +(-4.12039 + 7.31293i) q^{38} +(-6.29869 - 2.47205i) q^{39} +(7.52793 - 3.23156i) q^{40} +(5.49727 + 4.38392i) q^{41} +(-3.58561 - 1.06929i) q^{42} +(-1.40424 + 1.11985i) q^{43} +(2.97278 + 8.96492i) q^{44} +(2.88829 - 0.216448i) q^{45} +(-3.45774 - 4.95893i) q^{46} +(-4.26845 - 3.96054i) q^{47} +(3.97686 + 0.429633i) q^{48} +(6.68438 + 2.07824i) q^{49} +(3.47903 - 3.29669i) q^{50} +(4.14589 - 4.46820i) q^{51} +(-13.2539 - 2.73374i) q^{52} +(0.706282 + 9.42468i) q^{53} +(1.28053 + 0.600197i) q^{54} +(8.52818 + 10.6940i) q^{55} +(-7.43019 - 0.890121i) q^{56} +(-3.70062 + 4.64044i) q^{57} +(-7.88165 + 3.89804i) q^{58} +(0.899182 - 2.29108i) q^{59} +(5.61924 - 1.40728i) q^{60} +(0.851153 + 0.0637851i) q^{61} +(-1.36640 - 2.31033i) q^{62} +(-2.38245 - 1.15061i) q^{63} +(7.98414 - 0.503473i) q^{64} +(-19.3793 + 2.92096i) q^{65} +(1.06465 + 6.59318i) q^{66} +(-2.01139 + 1.16128i) q^{67} +(6.65432 - 10.2143i) q^{68} +(-1.85474 - 3.85142i) q^{69} +(-10.5425 + 2.51050i) q^{70} +(-3.41697 + 7.09542i) q^{71} +(2.72768 + 0.748190i) q^{72} +(-0.363737 - 0.392015i) q^{73} +(0.593371 - 9.21489i) q^{74} +(2.80019 - 1.90914i) q^{75} +(-5.71824 + 10.4026i) q^{76} +(-1.84840 - 12.3570i) q^{77} +(-8.94389 - 3.40233i) q^{78} +(12.4112 + 7.16561i) q^{79} +(10.5975 - 4.68160i) q^{80} +(0.826239 + 0.563320i) q^{81} +(7.83895 + 6.11786i) q^{82} +(-1.92497 - 8.43387i) q^{83} +(-5.08641 - 1.45890i) q^{84} +(3.92850 - 17.2119i) q^{85} +(-1.96917 + 1.60446i) q^{86} +(-5.94129 + 1.83265i) q^{87} +(4.33698 + 12.6335i) q^{88} +(2.51868 - 8.16534i) q^{89} +(4.08122 - 0.348958i) q^{90} +(16.6574 + 6.55906i) q^{91} +(-4.96332 - 6.96128i) q^{92} +(-0.693412 - 1.76678i) q^{93} +(-6.09495 - 5.53739i) q^{94} +(-2.56220 + 16.9991i) q^{95} +(5.63020 + 0.548530i) q^{96} -2.13385i q^{97} +(9.48347 + 2.83969i) q^{98} +4.72248i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 28 q^{3} + 2 q^{7} - 6 q^{8} + 28 q^{9} + O(q^{10}) \) \( 336 q - 28 q^{3} + 2 q^{7} - 6 q^{8} + 28 q^{9} + 41 q^{10} + 6 q^{11} + 52 q^{14} + 20 q^{16} - 6 q^{19} - 25 q^{20} + 4 q^{21} + 6 q^{22} + 9 q^{24} - 26 q^{25} - 18 q^{26} + 56 q^{27} + 5 q^{30} + 2 q^{31} + 15 q^{32} + 6 q^{33} + 44 q^{34} - 12 q^{35} + 16 q^{37} - 100 q^{38} + 8 q^{39} - 7 q^{40} - 7 q^{42} - 53 q^{44} - 10 q^{46} + 4 q^{47} + 8 q^{48} - 4 q^{49} - 114 q^{50} - 28 q^{52} - 4 q^{53} + q^{56} - 12 q^{57} + 27 q^{58} - 10 q^{59} - 7 q^{60} + 2 q^{61} - 16 q^{62} - 12 q^{63} - 84 q^{64} - 4 q^{65} + 21 q^{66} + 42 q^{67} + 26 q^{68} - 70 q^{70} + 28 q^{71} + 15 q^{72} + 18 q^{73} + 20 q^{74} + 54 q^{75} + 49 q^{76} - 8 q^{77} - 6 q^{78} - 6 q^{79} - 40 q^{80} + 28 q^{81} - 99 q^{82} + 10 q^{83} + 54 q^{84} + 24 q^{85} - 314 q^{86} - 40 q^{88} + 20 q^{90} - 34 q^{91} + 14 q^{92} - 2 q^{93} - 152 q^{94} - 24 q^{95} - 10 q^{96} - 156 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{42}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.41414 0.0148433i 0.999945 0.0104958i
\(3\) 0.988831 + 0.149042i 0.570902 + 0.0860496i
\(4\) 1.99956 0.0419808i 0.999780 0.0209904i
\(5\) 2.69617 1.05817i 1.20577 0.473228i 0.324517 0.945880i \(-0.394798\pi\)
0.881249 + 0.472652i \(0.156703\pi\)
\(6\) 1.40055 + 0.196089i 0.571773 + 0.0800528i
\(7\) −2.61576 0.397253i −0.988664 0.150148i
\(8\) 2.82703 0.0890465i 0.999504 0.0314827i
\(9\) 0.955573 + 0.294755i 0.318524 + 0.0982517i
\(10\) 3.79705 1.53642i 1.20073 0.485858i
\(11\) 1.39197 + 4.51267i 0.419696 + 1.36062i 0.880890 + 0.473322i \(0.156945\pi\)
−0.461194 + 0.887300i \(0.652579\pi\)
\(12\) 1.98348 + 0.256507i 0.572582 + 0.0740472i
\(13\) −6.59678 1.50567i −1.82962 0.417598i −0.837876 0.545860i \(-0.816203\pi\)
−0.991740 + 0.128262i \(0.959060\pi\)
\(14\) −3.70493 0.522943i −0.990185 0.139763i
\(15\) 2.82377 0.644508i 0.729095 0.166411i
\(16\) 3.99648 0.167886i 0.999119 0.0419715i
\(17\) 3.43363 5.03621i 0.832778 1.22146i −0.140099 0.990137i \(-0.544742\pi\)
0.972877 0.231323i \(-0.0743055\pi\)
\(18\) 1.35568 + 0.402640i 0.319538 + 0.0949032i
\(19\) −2.96767 + 5.14015i −0.680830 + 1.17923i 0.293898 + 0.955837i \(0.405047\pi\)
−0.974728 + 0.223396i \(0.928286\pi\)
\(20\) 5.34674 2.22906i 1.19557 0.498433i
\(21\) −2.52733 0.782675i −0.551510 0.170794i
\(22\) 2.03542 + 6.36087i 0.433954 + 1.35614i
\(23\) −2.40805 3.53196i −0.502113 0.736465i 0.488589 0.872514i \(-0.337512\pi\)
−0.990702 + 0.136049i \(0.956560\pi\)
\(24\) 2.80872 + 0.333294i 0.573328 + 0.0680334i
\(25\) 2.48437 2.30516i 0.496875 0.461032i
\(26\) −9.35109 2.03131i −1.83390 0.398372i
\(27\) 0.900969 + 0.433884i 0.173392 + 0.0835010i
\(28\) −5.24704 0.684520i −0.991597 0.129362i
\(29\) −5.60179 + 2.69768i −1.04023 + 0.500947i −0.874399 0.485208i \(-0.838744\pi\)
−0.165828 + 0.986155i \(0.553030\pi\)
\(30\) 3.98363 0.953335i 0.727308 0.174054i
\(31\) −0.948993 1.64370i −0.170444 0.295218i 0.768131 0.640293i \(-0.221187\pi\)
−0.938575 + 0.345075i \(0.887854\pi\)
\(32\) 5.64907 0.296734i 0.998623 0.0524557i
\(33\) 0.703849 + 4.66973i 0.122524 + 0.812896i
\(34\) 4.78087 7.17285i 0.819912 1.23013i
\(35\) −7.47290 + 1.69685i −1.26315 + 0.286821i
\(36\) 1.92310 + 0.549265i 0.320516 + 0.0915441i
\(37\) 0.487943 6.51115i 0.0802173 1.07043i −0.801296 0.598267i \(-0.795856\pi\)
0.881514 0.472158i \(-0.156525\pi\)
\(38\) −4.12039 + 7.31293i −0.668416 + 1.18631i
\(39\) −6.29869 2.47205i −1.00860 0.395845i
\(40\) 7.52793 3.23156i 1.19027 0.510954i
\(41\) 5.49727 + 4.38392i 0.858529 + 0.684654i 0.950371 0.311120i \(-0.100704\pi\)
−0.0918421 + 0.995774i \(0.529275\pi\)
\(42\) −3.58561 1.06929i −0.553272 0.164996i
\(43\) −1.40424 + 1.11985i −0.214145 + 0.170775i −0.724688 0.689078i \(-0.758016\pi\)
0.510543 + 0.859852i \(0.329444\pi\)
\(44\) 2.97278 + 8.96492i 0.448164 + 1.35151i
\(45\) 2.88829 0.216448i 0.430561 0.0322661i
\(46\) −3.45774 4.95893i −0.509816 0.731155i
\(47\) −4.26845 3.96054i −0.622617 0.577704i 0.304483 0.952518i \(-0.401516\pi\)
−0.927100 + 0.374813i \(0.877707\pi\)
\(48\) 3.97686 + 0.429633i 0.574010 + 0.0620122i
\(49\) 6.68438 + 2.07824i 0.954911 + 0.296891i
\(50\) 3.47903 3.29669i 0.492008 0.466222i
\(51\) 4.14589 4.46820i 0.580540 0.625674i
\(52\) −13.2539 2.73374i −1.83798 0.379102i
\(53\) 0.706282 + 9.42468i 0.0970153 + 1.29458i 0.807080 + 0.590442i \(0.201047\pi\)
−0.710065 + 0.704136i \(0.751334\pi\)
\(54\) 1.28053 + 0.600197i 0.174258 + 0.0816765i
\(55\) 8.52818 + 10.6940i 1.14994 + 1.44198i
\(56\) −7.43019 0.890121i −0.992901 0.118947i
\(57\) −3.70062 + 4.64044i −0.490160 + 0.614641i
\(58\) −7.88165 + 3.89804i −1.03491 + 0.511837i
\(59\) 0.899182 2.29108i 0.117063 0.298273i −0.860318 0.509758i \(-0.829735\pi\)
0.977381 + 0.211485i \(0.0678301\pi\)
\(60\) 5.61924 1.40728i 0.725441 0.181678i
\(61\) 0.851153 + 0.0637851i 0.108979 + 0.00816684i 0.129108 0.991631i \(-0.458789\pi\)
−0.0201290 + 0.999797i \(0.506408\pi\)
\(62\) −1.36640 2.31033i −0.173533 0.293413i
\(63\) −2.38245 1.15061i −0.300161 0.144964i
\(64\) 7.98414 0.503473i 0.998018 0.0629341i
\(65\) −19.3793 + 2.92096i −2.40371 + 0.362301i
\(66\) 1.06465 + 6.59318i 0.131050 + 0.811565i
\(67\) −2.01139 + 1.16128i −0.245730 + 0.141872i −0.617808 0.786329i \(-0.711979\pi\)
0.372077 + 0.928202i \(0.378646\pi\)
\(68\) 6.65432 10.2143i 0.806955 1.23867i
\(69\) −1.85474 3.85142i −0.223285 0.463656i
\(70\) −10.5425 + 2.51050i −1.26007 + 0.300063i
\(71\) −3.41697 + 7.09542i −0.405520 + 0.842071i 0.593779 + 0.804629i \(0.297636\pi\)
−0.999299 + 0.0374430i \(0.988079\pi\)
\(72\) 2.72768 + 0.748190i 0.321460 + 0.0881750i
\(73\) −0.363737 0.392015i −0.0425722 0.0458819i 0.711407 0.702781i \(-0.248058\pi\)
−0.753979 + 0.656899i \(0.771868\pi\)
\(74\) 0.593371 9.21489i 0.0689780 1.07121i
\(75\) 2.80019 1.90914i 0.323338 0.220448i
\(76\) −5.71824 + 10.4026i −0.655928 + 1.19326i
\(77\) −1.84840 12.3570i −0.210644 1.40821i
\(78\) −8.94389 3.40233i −1.01270 0.385237i
\(79\) 12.4112 + 7.16561i 1.39637 + 0.806194i 0.994010 0.109288i \(-0.0348570\pi\)
0.402359 + 0.915482i \(0.368190\pi\)
\(80\) 10.5975 4.68160i 1.18484 0.523419i
\(81\) 0.826239 + 0.563320i 0.0918043 + 0.0625911i
\(82\) 7.83895 + 6.11786i 0.865667 + 0.675605i
\(83\) −1.92497 8.43387i −0.211293 0.925737i −0.963689 0.267026i \(-0.913959\pi\)
0.752396 0.658711i \(-0.228898\pi\)
\(84\) −5.08641 1.45890i −0.554973 0.159180i
\(85\) 3.92850 17.2119i 0.426105 1.86689i
\(86\) −1.96917 + 1.60446i −0.212341 + 0.173013i
\(87\) −5.94129 + 1.83265i −0.636973 + 0.196480i
\(88\) 4.33698 + 12.6335i 0.462324 + 1.34673i
\(89\) 2.51868 8.16534i 0.266979 0.865525i −0.718471 0.695557i \(-0.755158\pi\)
0.985450 0.169967i \(-0.0543663\pi\)
\(90\) 4.08122 0.348958i 0.430199 0.0367834i
\(91\) 16.6574 + 6.55906i 1.74617 + 0.687577i
\(92\) −4.96332 6.96128i −0.517462 0.725763i
\(93\) −0.693412 1.76678i −0.0719035 0.183207i
\(94\) −6.09495 5.53739i −0.628646 0.571138i
\(95\) −2.56220 + 16.9991i −0.262876 + 1.74407i
\(96\) 5.63020 + 0.548530i 0.574630 + 0.0559841i
\(97\) 2.13385i 0.216660i −0.994115 0.108330i \(-0.965450\pi\)
0.994115 0.108330i \(-0.0345503\pi\)
\(98\) 9.48347 + 2.83969i 0.957975 + 0.286852i
\(99\) 4.72248i 0.474627i
\(100\) 4.87088 4.71360i 0.487088 0.471360i
\(101\) −0.418211 + 2.77465i −0.0416135 + 0.276088i −0.999955 0.00953885i \(-0.996964\pi\)
0.958341 + 0.285627i \(0.0922017\pi\)
\(102\) 5.79653 6.38019i 0.573942 0.631733i
\(103\) −4.30719 10.9746i −0.424400 1.08135i −0.969956 0.243280i \(-0.921777\pi\)
0.545556 0.838075i \(-0.316319\pi\)
\(104\) −18.7833 3.66915i −1.84186 0.359790i
\(105\) −7.64234 + 0.564124i −0.745816 + 0.0550528i
\(106\) 1.13867 + 13.3173i 0.110598 + 1.29349i
\(107\) 2.07368 6.72271i 0.200470 0.649909i −0.798388 0.602143i \(-0.794314\pi\)
0.998859 0.0477658i \(-0.0152101\pi\)
\(108\) 1.81976 + 0.829753i 0.175106 + 0.0798430i
\(109\) −11.1377 + 3.43553i −1.06680 + 0.329064i −0.777960 0.628314i \(-0.783745\pi\)
−0.288839 + 0.957378i \(0.593269\pi\)
\(110\) 12.2187 + 14.9962i 1.16501 + 1.42983i
\(111\) 1.45293 6.36570i 0.137906 0.604205i
\(112\) −10.5205 1.14846i −0.994094 0.108520i
\(113\) −0.338837 1.48454i −0.0318751 0.139654i 0.956487 0.291777i \(-0.0942464\pi\)
−0.988362 + 0.152122i \(0.951389\pi\)
\(114\) −5.16430 + 6.61713i −0.483681 + 0.619751i
\(115\) −10.2299 6.97466i −0.953947 0.650390i
\(116\) −11.0879 + 5.62934i −1.02948 + 0.522671i
\(117\) −5.85990 3.38321i −0.541748 0.312778i
\(118\) 1.23756 3.25324i 0.113926 0.299485i
\(119\) −10.9822 + 11.8095i −1.00674 + 1.08257i
\(120\) 7.92549 2.07349i 0.723495 0.189283i
\(121\) −9.33797 + 6.36652i −0.848906 + 0.578775i
\(122\) 1.20459 + 0.0775669i 0.109059 + 0.00702257i
\(123\) 4.78248 + 5.15428i 0.431221 + 0.464746i
\(124\) −1.96657 3.24684i −0.176603 0.291575i
\(125\) −2.02443 + 4.20378i −0.181071 + 0.375998i
\(126\) −3.38619 1.59176i −0.301666 0.141805i
\(127\) 3.91689 + 8.13351i 0.347568 + 0.721732i 0.999327 0.0366944i \(-0.0116828\pi\)
−0.651759 + 0.758426i \(0.725969\pi\)
\(128\) 11.2832 0.830490i 0.997302 0.0734056i
\(129\) −1.55546 + 0.898046i −0.136951 + 0.0790686i
\(130\) −27.3616 + 4.41829i −2.39977 + 0.387510i
\(131\) −14.6449 + 2.20736i −1.27953 + 0.192858i −0.753409 0.657552i \(-0.771592\pi\)
−0.526121 + 0.850410i \(0.676354\pi\)
\(132\) 1.60343 + 9.30785i 0.139560 + 0.810145i
\(133\) 9.80465 12.2665i 0.850171 1.06364i
\(134\) −2.82714 + 1.67206i −0.244228 + 0.144444i
\(135\) 2.88829 + 0.216448i 0.248585 + 0.0186288i
\(136\) 9.25850 14.5432i 0.793910 1.24707i
\(137\) −0.0893664 + 0.227702i −0.00763509 + 0.0194539i −0.934640 0.355594i \(-0.884279\pi\)
0.927005 + 0.375048i \(0.122374\pi\)
\(138\) −2.68003 5.41889i −0.228139 0.461287i
\(139\) 6.84371 8.58174i 0.580476 0.727894i −0.401718 0.915763i \(-0.631587\pi\)
0.982194 + 0.187870i \(0.0601582\pi\)
\(140\) −14.8713 + 3.70668i −1.25685 + 0.313272i
\(141\) −3.63049 4.55249i −0.305742 0.383388i
\(142\) −4.72675 + 10.0846i −0.396660 + 0.846281i
\(143\) −2.38795 31.8649i −0.199690 2.66468i
\(144\) 3.86841 + 1.01755i 0.322367 + 0.0847962i
\(145\) −12.2488 + 13.2011i −1.01721 + 1.09629i
\(146\) −0.520192 0.548963i −0.0430514 0.0454325i
\(147\) 6.29998 + 3.05128i 0.519613 + 0.251665i
\(148\) 0.702328 13.0399i 0.0577310 1.07187i
\(149\) −1.49505 1.38720i −0.122479 0.113644i 0.616556 0.787311i \(-0.288528\pi\)
−0.739035 + 0.673667i \(0.764718\pi\)
\(150\) 3.93151 2.74134i 0.321007 0.223830i
\(151\) −7.68337 + 0.575789i −0.625264 + 0.0468570i −0.383594 0.923502i \(-0.625314\pi\)
−0.241669 + 0.970359i \(0.577695\pi\)
\(152\) −7.93196 + 14.7956i −0.643367 + 1.20008i
\(153\) 4.76553 3.80039i 0.385271 0.307243i
\(154\) −2.79730 17.4471i −0.225413 1.40592i
\(155\) −4.29797 3.42752i −0.345221 0.275305i
\(156\) −12.6984 4.67859i −1.01668 0.374587i
\(157\) −5.90702 2.31833i −0.471432 0.185023i 0.117718 0.993047i \(-0.462442\pi\)
−0.589150 + 0.808024i \(0.700537\pi\)
\(158\) 17.6575 + 9.94892i 1.40475 + 0.791494i
\(159\) −0.706282 + 9.42468i −0.0560118 + 0.747425i
\(160\) 14.9169 6.77772i 1.17928 0.535826i
\(161\) 4.89580 + 10.1954i 0.385843 + 0.803507i
\(162\) 1.17678 + 0.784347i 0.0924562 + 0.0616241i
\(163\) 1.07851 + 7.15542i 0.0844751 + 0.560456i 0.990530 + 0.137296i \(0.0438411\pi\)
−0.906055 + 0.423160i \(0.860921\pi\)
\(164\) 11.1761 + 8.53513i 0.872711 + 0.666482i
\(165\) 6.83907 + 11.8456i 0.532421 + 0.922180i
\(166\) −2.84736 11.8981i −0.220998 0.923468i
\(167\) 3.73228 1.79737i 0.288813 0.139085i −0.283868 0.958863i \(-0.591618\pi\)
0.572681 + 0.819779i \(0.305903\pi\)
\(168\) −7.21453 1.98759i −0.556613 0.153346i
\(169\) 29.5378 + 14.2247i 2.27214 + 1.09421i
\(170\) 5.29995 24.3982i 0.406487 1.87126i
\(171\) −4.35091 + 4.03706i −0.332723 + 0.308721i
\(172\) −2.76085 + 2.29815i −0.210513 + 0.175232i
\(173\) 9.74634 + 14.2953i 0.741001 + 1.08685i 0.992883 + 0.119091i \(0.0379980\pi\)
−0.251883 + 0.967758i \(0.581050\pi\)
\(174\) −8.37459 + 2.67980i −0.634876 + 0.203155i
\(175\) −7.41425 + 5.04282i −0.560465 + 0.381201i
\(176\) 6.32061 + 17.8011i 0.476434 + 1.34181i
\(177\) 1.23061 2.13147i 0.0924980 0.160211i
\(178\) 3.44055 11.5843i 0.257880 0.868279i
\(179\) 1.98931 2.91778i 0.148688 0.218085i −0.744668 0.667435i \(-0.767392\pi\)
0.893356 + 0.449350i \(0.148344\pi\)
\(180\) 5.76623 0.554053i 0.429789 0.0412966i
\(181\) 21.3181 4.86571i 1.58456 0.361666i 0.662608 0.748967i \(-0.269450\pi\)
0.921953 + 0.387301i \(0.126593\pi\)
\(182\) 23.6532 + 9.02815i 1.75329 + 0.669211i
\(183\) 0.832139 + 0.189930i 0.0615135 + 0.0140401i
\(184\) −7.12213 9.77052i −0.525050 0.720292i
\(185\) −5.57432 18.0715i −0.409832 1.32864i
\(186\) −1.00680 2.48818i −0.0738224 0.182442i
\(187\) 27.5063 + 8.48456i 2.01146 + 0.620453i
\(188\) −8.70128 7.74015i −0.634606 0.564508i
\(189\) −2.18435 1.49285i −0.158888 0.108589i
\(190\) −3.37097 + 24.0770i −0.244556 + 1.74673i
\(191\) 6.08967 2.39002i 0.440633 0.172936i −0.134645 0.990894i \(-0.542989\pi\)
0.575278 + 0.817958i \(0.304894\pi\)
\(192\) 7.97000 + 0.692125i 0.575185 + 0.0499498i
\(193\) 2.96377 + 0.446717i 0.213337 + 0.0321554i 0.254841 0.966983i \(-0.417977\pi\)
−0.0415040 + 0.999138i \(0.513215\pi\)
\(194\) −0.0316733 3.01756i −0.00227401 0.216648i
\(195\) −19.5982 −1.40346
\(196\) 13.4531 + 3.87494i 0.960933 + 0.276781i
\(197\) −11.6320 −0.828746 −0.414373 0.910107i \(-0.635999\pi\)
−0.414373 + 0.910107i \(0.635999\pi\)
\(198\) 0.0700969 + 6.67822i 0.00498157 + 0.474601i
\(199\) 5.55435 + 0.837184i 0.393738 + 0.0593464i 0.342927 0.939362i \(-0.388582\pi\)
0.0508103 + 0.998708i \(0.483820\pi\)
\(200\) 6.81812 6.73798i 0.482114 0.476447i
\(201\) −2.16200 + 0.848523i −0.152496 + 0.0598502i
\(202\) −0.550222 + 3.92994i −0.0387135 + 0.276509i
\(203\) 15.7246 4.83115i 1.10365 0.339080i
\(204\) 8.10237 9.10849i 0.567279 0.637722i
\(205\) 19.4605 + 6.00278i 1.35918 + 0.419252i
\(206\) −6.25386 15.4556i −0.435727 1.07684i
\(207\) −1.26000 4.08483i −0.0875763 0.283916i
\(208\) −26.6166 4.90987i −1.84553 0.340438i
\(209\) −27.3267 6.23715i −1.89023 0.431433i
\(210\) −10.7989 + 0.911185i −0.745197 + 0.0628777i
\(211\) −4.94826 + 1.12941i −0.340652 + 0.0777517i −0.389425 0.921058i \(-0.627326\pi\)
0.0487726 + 0.998810i \(0.484469\pi\)
\(212\) 1.80791 + 18.8155i 0.124168 + 1.29226i
\(213\) −4.43633 + 6.50690i −0.303972 + 0.445845i
\(214\) 2.83268 9.53760i 0.193638 0.651977i
\(215\) −2.60109 + 4.50523i −0.177393 + 0.307254i
\(216\) 2.58570 + 1.14637i 0.175934 + 0.0780007i
\(217\) 1.82937 + 4.67652i 0.124186 + 0.317463i
\(218\) −15.6992 + 5.02362i −1.06329 + 0.340242i
\(219\) −0.301247 0.441849i −0.0203564 0.0298574i
\(220\) 17.5015 + 21.0253i 1.17995 + 1.41752i
\(221\) −30.2338 + 28.0528i −2.03374 + 1.88704i
\(222\) 1.96015 9.02353i 0.131557 0.605619i
\(223\) 6.88068 + 3.31356i 0.460764 + 0.221892i 0.649841 0.760070i \(-0.274835\pi\)
−0.189077 + 0.981962i \(0.560550\pi\)
\(224\) −14.8945 1.46792i −0.995179 0.0980798i
\(225\) 3.05346 1.47047i 0.203564 0.0980312i
\(226\) −0.501198 2.09432i −0.0333392 0.139312i
\(227\) −9.15630 15.8592i −0.607725 1.05261i −0.991614 0.129232i \(-0.958749\pi\)
0.383889 0.923379i \(-0.374584\pi\)
\(228\) −7.20481 + 9.43418i −0.477150 + 0.624794i
\(229\) −2.48075 16.4587i −0.163933 1.08762i −0.907833 0.419331i \(-0.862265\pi\)
0.743901 0.668290i \(-0.232973\pi\)
\(230\) −14.5701 9.71127i −0.960721 0.640342i
\(231\) 0.0139673 12.4945i 0.000918981 0.822077i
\(232\) −15.5962 + 8.12523i −1.02394 + 0.533447i
\(233\) 0.00703728 0.0939060i 0.000461028 0.00615199i −0.996969 0.0778057i \(-0.975209\pi\)
0.997430 + 0.0716537i \(0.0228277\pi\)
\(234\) −8.33691 4.69734i −0.545001 0.307075i
\(235\) −15.6994 6.16157i −1.02412 0.401936i
\(236\) 1.70179 4.61889i 0.110777 0.300664i
\(237\) 11.2046 + 8.93537i 0.727817 + 0.580415i
\(238\) −15.3550 + 16.8632i −0.995318 + 1.09308i
\(239\) 21.8474 17.4227i 1.41319 1.12698i 0.439729 0.898130i \(-0.355074\pi\)
0.973461 0.228852i \(-0.0734970\pi\)
\(240\) 11.1769 3.04983i 0.721468 0.196866i
\(241\) −15.9672 + 1.19657i −1.02853 + 0.0770780i −0.578294 0.815829i \(-0.696281\pi\)
−0.450241 + 0.892907i \(0.648662\pi\)
\(242\) −13.1107 + 9.14173i −0.842785 + 0.587653i
\(243\) 0.733052 + 0.680173i 0.0470253 + 0.0436331i
\(244\) 1.70461 + 0.0918100i 0.109126 + 0.00587753i
\(245\) 20.2214 1.46993i 1.29190 0.0939102i
\(246\) 6.83958 + 7.21787i 0.436075 + 0.460194i
\(247\) 27.3164 29.4401i 1.73810 1.87323i
\(248\) −2.82919 4.56229i −0.179654 0.289705i
\(249\) −0.646472 8.62657i −0.0409685 0.546687i
\(250\) −2.80043 + 5.97477i −0.177115 + 0.377877i
\(251\) 5.77422 + 7.24065i 0.364466 + 0.457025i 0.929924 0.367751i \(-0.119872\pi\)
−0.565459 + 0.824777i \(0.691301\pi\)
\(252\) −4.81216 2.20070i −0.303138 0.138631i
\(253\) 12.5866 15.7831i 0.791315 0.992278i
\(254\) 5.65974 + 11.4437i 0.355124 + 0.718044i
\(255\) 6.44992 16.4341i 0.403909 1.02914i
\(256\) 15.9436 1.34190i 0.996477 0.0838690i
\(257\) 27.5039 + 2.06114i 1.71565 + 0.128570i 0.895930 0.444196i \(-0.146510\pi\)
0.819719 + 0.572766i \(0.194130\pi\)
\(258\) −2.18630 + 1.29305i −0.136113 + 0.0805016i
\(259\) −3.86291 + 16.8377i −0.240030 + 1.04625i
\(260\) −38.6275 + 6.65420i −2.39557 + 0.412676i
\(261\) −6.14807 + 0.926673i −0.380556 + 0.0573596i
\(262\) −20.6771 + 3.33889i −1.27744 + 0.206277i
\(263\) −3.89856 + 2.25084i −0.240396 + 0.138793i −0.615359 0.788247i \(-0.710989\pi\)
0.374963 + 0.927040i \(0.377655\pi\)
\(264\) 2.40562 + 13.1388i 0.148056 + 0.808635i
\(265\) 11.8772 + 24.6632i 0.729609 + 1.51505i
\(266\) 13.6830 17.4920i 0.838960 1.07250i
\(267\) 3.70752 7.69875i 0.226897 0.471156i
\(268\) −3.97314 + 2.40648i −0.242698 + 0.146999i
\(269\) 8.00238 + 8.62451i 0.487914 + 0.525846i 0.928235 0.371994i \(-0.121326\pi\)
−0.440321 + 0.897840i \(0.645135\pi\)
\(270\) 4.08765 + 0.263215i 0.248766 + 0.0160187i
\(271\) 19.9017 13.5688i 1.20894 0.824243i 0.220433 0.975402i \(-0.429253\pi\)
0.988509 + 0.151159i \(0.0483005\pi\)
\(272\) 12.8769 20.7036i 0.780777 1.25534i
\(273\) 15.4938 + 8.96847i 0.937728 + 0.542796i
\(274\) −0.122996 + 0.323328i −0.00743048 + 0.0195329i
\(275\) 13.8606 + 8.00243i 0.835827 + 0.482565i
\(276\) −3.87036 7.62327i −0.232968 0.458867i
\(277\) 7.56463 + 5.15748i 0.454515 + 0.309883i 0.768850 0.639429i \(-0.220829\pi\)
−0.314335 + 0.949312i \(0.601782\pi\)
\(278\) 9.55055 12.2373i 0.572804 0.733946i
\(279\) −0.422341 1.85040i −0.0252849 0.110780i
\(280\) −20.9750 + 5.46249i −1.25349 + 0.326446i
\(281\) 3.78558 16.5857i 0.225829 0.989419i −0.727173 0.686454i \(-0.759166\pi\)
0.953002 0.302965i \(-0.0979766\pi\)
\(282\) −5.20157 6.38394i −0.309749 0.380158i
\(283\) −11.1968 + 3.45375i −0.665579 + 0.205304i −0.609092 0.793099i \(-0.708466\pi\)
−0.0564868 + 0.998403i \(0.517990\pi\)
\(284\) −6.53457 + 14.3312i −0.387756 + 0.850398i
\(285\) −5.06716 + 16.4273i −0.300152 + 0.973070i
\(286\) −3.84986 45.0259i −0.227647 2.66244i
\(287\) −12.6380 13.6511i −0.745997 0.805798i
\(288\) 5.48556 + 1.38154i 0.323240 + 0.0814080i
\(289\) −7.36281 18.7601i −0.433106 1.10354i
\(290\) −17.1255 + 18.8499i −1.00565 + 1.10691i
\(291\) 0.318034 2.11002i 0.0186435 0.123692i
\(292\) −0.743770 0.768587i −0.0435259 0.0449782i
\(293\) 26.5792i 1.55277i 0.630256 + 0.776387i \(0.282950\pi\)
−0.630256 + 0.776387i \(0.717050\pi\)
\(294\) 8.95431 + 4.22141i 0.522226 + 0.246198i
\(295\) 7.12863i 0.415045i
\(296\) 0.799632 18.4506i 0.0464777 1.07242i
\(297\) −0.703849 + 4.66973i −0.0408414 + 0.270965i
\(298\) −2.13479 1.93950i −0.123665 0.112352i
\(299\) 10.5674 + 26.9253i 0.611129 + 1.55713i
\(300\) 5.51900 3.93499i 0.318640 0.227187i
\(301\) 4.11802 2.37141i 0.237359 0.136686i
\(302\) −10.8568 + 0.928290i −0.624737 + 0.0534171i
\(303\) −0.827080 + 2.68133i −0.0475145 + 0.154038i
\(304\) −10.9973 + 21.0407i −0.630736 + 1.20677i
\(305\) 2.36235 0.728689i 0.135268 0.0417246i
\(306\) 6.68270 5.44500i 0.382025 0.311270i
\(307\) −2.81440 + 12.3307i −0.160626 + 0.703749i 0.828900 + 0.559396i \(0.188967\pi\)
−0.989526 + 0.144352i \(0.953890\pi\)
\(308\) −4.21473 24.6310i −0.240157 1.40348i
\(309\) −2.62341 11.4939i −0.149241 0.653867i
\(310\) −6.12879 4.78318i −0.348092 0.271666i
\(311\) −5.17397 3.52755i −0.293389 0.200029i 0.407676 0.913127i \(-0.366339\pi\)
−0.701065 + 0.713098i \(0.747292\pi\)
\(312\) −18.0267 6.42768i −1.02056 0.363896i
\(313\) 26.2509 + 15.1560i 1.48379 + 0.856666i 0.999830 0.0184256i \(-0.00586538\pi\)
0.483958 + 0.875091i \(0.339199\pi\)
\(314\) −8.38774 3.19076i −0.473348 0.180065i
\(315\) −7.64106 0.581209i −0.430525 0.0327474i
\(316\) 25.1177 + 13.8070i 1.41298 + 0.776706i
\(317\) 19.9122 13.5759i 1.11838 0.762499i 0.144487 0.989507i \(-0.453847\pi\)
0.973893 + 0.227008i \(0.0728944\pi\)
\(318\) −0.858885 + 13.3383i −0.0481639 + 0.747972i
\(319\) −19.9713 21.5239i −1.11818 1.20511i
\(320\) 20.9939 9.80604i 1.17359 0.548174i
\(321\) 3.05249 6.33856i 0.170373 0.353784i
\(322\) 7.07465 + 14.3450i 0.394255 + 0.799413i
\(323\) 15.6970 + 32.5952i 0.873406 + 1.81365i
\(324\) 1.67576 + 1.09171i 0.0930979 + 0.0606503i
\(325\) −19.8597 + 11.4660i −1.10162 + 0.636019i
\(326\) 1.63136 + 10.1027i 0.0903529 + 0.559538i
\(327\) −11.5253 + 1.73717i −0.637353 + 0.0960655i
\(328\) 15.9313 + 11.9039i 0.879658 + 0.657286i
\(329\) 9.59189 + 12.0555i 0.528818 + 0.664640i
\(330\) 9.84720 + 16.6498i 0.542071 + 0.916541i
\(331\) −3.68926 0.276472i −0.202780 0.0151963i −0.0270472 0.999634i \(-0.508610\pi\)
−0.175733 + 0.984438i \(0.556229\pi\)
\(332\) −4.20316 16.7832i −0.230678 0.921098i
\(333\) 2.38546 6.07805i 0.130722 0.333075i
\(334\) 5.25127 2.59713i 0.287337 0.142108i
\(335\) −4.19423 + 5.25939i −0.229155 + 0.287351i
\(336\) −10.2318 2.70364i −0.558192 0.147495i
\(337\) −9.70756 12.1729i −0.528804 0.663100i 0.443648 0.896201i \(-0.353684\pi\)
−0.972452 + 0.233101i \(0.925113\pi\)
\(338\) 41.9816 + 19.6772i 2.28350 + 1.07030i
\(339\) −0.113793 1.51846i −0.00618039 0.0824716i
\(340\) 7.13270 34.5811i 0.386825 1.87542i
\(341\) 6.09652 6.57048i 0.330145 0.355812i
\(342\) −6.09286 + 5.77353i −0.329464 + 0.312197i
\(343\) −16.6591 8.09155i −0.899509 0.436903i
\(344\) −3.87011 + 3.29087i −0.208662 + 0.177432i
\(345\) −9.07617 8.42145i −0.488644 0.453396i
\(346\) 13.9948 + 20.0708i 0.752367 + 1.07901i
\(347\) −17.7756 + 1.33210i −0.954244 + 0.0715107i −0.542743 0.839899i \(-0.682614\pi\)
−0.411501 + 0.911410i \(0.634995\pi\)
\(348\) −11.8030 + 3.91390i −0.632709 + 0.209807i
\(349\) 19.4030 15.4734i 1.03862 0.828272i 0.0532297 0.998582i \(-0.483048\pi\)
0.985390 + 0.170310i \(0.0544770\pi\)
\(350\) −10.4099 + 7.24128i −0.556433 + 0.387063i
\(351\) −5.29020 4.21880i −0.282370 0.225183i
\(352\) 9.20242 + 25.0793i 0.490491 + 1.33673i
\(353\) −11.1209 4.36463i −0.591905 0.232306i 0.0504325 0.998727i \(-0.483940\pi\)
−0.642338 + 0.766422i \(0.722035\pi\)
\(354\) 1.70861 3.03246i 0.0908114 0.161173i
\(355\) −1.70459 + 22.7462i −0.0904705 + 1.20724i
\(356\) 4.69345 16.4328i 0.248753 0.870938i
\(357\) −12.6196 + 10.0408i −0.667903 + 0.531414i
\(358\) 2.76985 4.15567i 0.146391 0.219634i
\(359\) −1.47704 9.79952i −0.0779552 0.517199i −0.993395 0.114744i \(-0.963395\pi\)
0.915440 0.402455i \(-0.131843\pi\)
\(360\) 8.14600 0.869095i 0.429332 0.0458053i
\(361\) −8.11413 14.0541i −0.427059 0.739688i
\(362\) 30.0744 7.19721i 1.58068 0.378277i
\(363\) −10.1826 + 4.90366i −0.534445 + 0.257375i
\(364\) 33.5829 + 12.4159i 1.76022 + 0.650772i
\(365\) −1.39552 0.672045i −0.0730447 0.0351765i
\(366\) 1.17958 + 0.256236i 0.0616575 + 0.0133937i
\(367\) −1.61298 + 1.49662i −0.0841968 + 0.0781232i −0.721149 0.692780i \(-0.756385\pi\)
0.636952 + 0.770904i \(0.280195\pi\)
\(368\) −10.2167 13.7111i −0.532582 0.714742i
\(369\) 3.96085 + 5.80951i 0.206194 + 0.302431i
\(370\) −8.15109 25.4728i −0.423755 1.32427i
\(371\) 1.89652 24.9332i 0.0984624 1.29447i
\(372\) −1.46069 3.50368i −0.0757332 0.181657i
\(373\) −15.7198 + 27.2274i −0.813939 + 1.40978i 0.0961481 + 0.995367i \(0.469348\pi\)
−0.910087 + 0.414417i \(0.863986\pi\)
\(374\) 39.0236 + 11.5900i 2.01786 + 0.599307i
\(375\) −2.62836 + 3.85510i −0.135728 + 0.199077i
\(376\) −12.4197 10.8165i −0.640496 0.557816i
\(377\) 41.0156 9.36154i 2.11241 0.482144i
\(378\) −3.11113 2.07867i −0.160019 0.106915i
\(379\) 34.7761 + 7.93741i 1.78633 + 0.407718i 0.982367 0.186965i \(-0.0598650\pi\)
0.803961 + 0.594682i \(0.202722\pi\)
\(380\) −4.40963 + 34.0982i −0.226209 + 1.74920i
\(381\) 2.66091 + 8.62644i 0.136322 + 0.441946i
\(382\) 8.57614 3.47020i 0.438794 0.177551i
\(383\) −14.7678 4.55527i −0.754601 0.232764i −0.106494 0.994313i \(-0.533963\pi\)
−0.648106 + 0.761550i \(0.724439\pi\)
\(384\) 11.2809 + 0.860458i 0.575678 + 0.0439100i
\(385\) −18.0594 31.3608i −0.920394 1.59829i
\(386\) 4.19781 + 0.587727i 0.213663 + 0.0299145i
\(387\) −1.67194 + 0.656186i −0.0849892 + 0.0333558i
\(388\) −0.0895808 4.26677i −0.00454778 0.216612i
\(389\) −5.00722 0.754717i −0.253876 0.0382656i 0.0208711 0.999782i \(-0.493356\pi\)
−0.274747 + 0.961517i \(0.588594\pi\)
\(390\) −27.7145 + 0.290901i −1.40338 + 0.0147304i
\(391\) −26.0561 −1.31771
\(392\) 19.0820 + 5.28001i 0.963785 + 0.266681i
\(393\) −14.8103 −0.747081
\(394\) −16.4492 + 0.172657i −0.828701 + 0.00869833i
\(395\) 41.0452 + 6.18657i 2.06521 + 0.311280i
\(396\) 0.198253 + 9.44287i 0.00996259 + 0.474522i
\(397\) 13.3240 5.22927i 0.668711 0.262450i −0.00660523 0.999978i \(-0.502103\pi\)
0.675316 + 0.737529i \(0.264007\pi\)
\(398\) 7.86704 + 1.10145i 0.394339 + 0.0552106i
\(399\) 11.5234 10.6682i 0.576890 0.534077i
\(400\) 9.54173 9.62961i 0.477087 0.481481i
\(401\) 8.66162 + 2.67176i 0.432541 + 0.133421i 0.503377 0.864067i \(-0.332091\pi\)
−0.0708365 + 0.997488i \(0.522567\pi\)
\(402\) −3.04477 + 1.23202i −0.151859 + 0.0614475i
\(403\) 3.78542 + 12.2720i 0.188565 + 0.611313i
\(404\) −0.719756 + 5.56563i −0.0358092 + 0.276901i
\(405\) 2.82377 + 0.644508i 0.140314 + 0.0320258i
\(406\) 22.1650 7.06531i 1.10003 0.350645i
\(407\) 30.0619 6.86142i 1.49011 0.340108i
\(408\) 11.3227 13.0009i 0.560555 0.643641i
\(409\) −15.1345 + 22.1983i −0.748354 + 1.09763i 0.243457 + 0.969912i \(0.421719\pi\)
−0.991810 + 0.127721i \(0.959234\pi\)
\(410\) 27.6089 + 8.19988i 1.36351 + 0.404963i
\(411\) −0.122305 + 0.211839i −0.00603288 + 0.0104493i
\(412\) −9.07321 21.7635i −0.447005 1.07221i
\(413\) −3.26218 + 5.63570i −0.160521 + 0.277315i
\(414\) −1.84245 5.75781i −0.0905514 0.282981i
\(415\) −14.1145 20.7022i −0.692855 1.01623i
\(416\) −37.7124 6.54815i −1.84900 0.321049i
\(417\) 8.04631 7.46589i 0.394030 0.365606i
\(418\) −38.7363 8.41456i −1.89465 0.411570i
\(419\) 10.9060 + 5.25207i 0.532795 + 0.256580i 0.680881 0.732394i \(-0.261597\pi\)
−0.148086 + 0.988974i \(0.547311\pi\)
\(420\) −15.2576 + 1.44883i −0.744496 + 0.0706957i
\(421\) −30.4253 + 14.6521i −1.48284 + 0.714098i −0.987938 0.154850i \(-0.950511\pi\)
−0.494903 + 0.868948i \(0.664796\pi\)
\(422\) −6.98075 + 1.67058i −0.339817 + 0.0813228i
\(423\) −2.91142 5.04273i −0.141558 0.245186i
\(424\) 2.83591 + 26.5809i 0.137724 + 1.29088i
\(425\) −3.07886 20.4269i −0.149347 0.990850i
\(426\) −6.17698 + 9.26748i −0.299276 + 0.449011i
\(427\) −2.20107 0.504969i −0.106517 0.0244372i
\(428\) 3.86422 13.5295i 0.186784 0.653974i
\(429\) 2.38795 31.8649i 0.115291 1.53845i
\(430\) −3.61143 + 6.40961i −0.174158 + 0.309099i
\(431\) 32.8970 + 12.9111i 1.58459 + 0.621907i 0.984083 0.177710i \(-0.0568690\pi\)
0.600510 + 0.799617i \(0.294964\pi\)
\(432\) 3.67354 + 1.58275i 0.176743 + 0.0761499i
\(433\) −6.84138 5.45582i −0.328776 0.262190i 0.445164 0.895449i \(-0.353145\pi\)
−0.773940 + 0.633259i \(0.781717\pi\)
\(434\) 2.65639 + 6.58608i 0.127511 + 0.316142i
\(435\) −14.0795 + 11.2280i −0.675061 + 0.538343i
\(436\) −22.1263 + 7.33711i −1.05966 + 0.351384i
\(437\) 25.3011 1.89606i 1.21032 0.0907008i
\(438\) −0.432563 0.620362i −0.0206687 0.0296421i
\(439\) −13.6121 12.6301i −0.649668 0.602804i 0.284914 0.958553i \(-0.408035\pi\)
−0.934581 + 0.355750i \(0.884226\pi\)
\(440\) 25.0616 + 29.4728i 1.19477 + 1.40506i
\(441\) 5.77484 + 3.95616i 0.274992 + 0.188389i
\(442\) −42.3383 + 40.1193i −2.01383 + 1.90828i
\(443\) −7.82556 + 8.43395i −0.371804 + 0.400709i −0.891042 0.453920i \(-0.850025\pi\)
0.519239 + 0.854629i \(0.326216\pi\)
\(444\) 2.63798 12.7896i 0.125193 0.606967i
\(445\) −1.84954 24.6804i −0.0876766 1.16996i
\(446\) 9.77940 + 4.58369i 0.463068 + 0.217044i
\(447\) −1.27160 1.59453i −0.0601446 0.0754189i
\(448\) −21.0846 1.85476i −0.996153 0.0876292i
\(449\) 0.842812 1.05685i 0.0397747 0.0498760i −0.761546 0.648111i \(-0.775559\pi\)
0.801321 + 0.598235i \(0.204131\pi\)
\(450\) 4.29618 2.12476i 0.202524 0.100162i
\(451\) −12.1311 + 30.9097i −0.571233 + 1.45548i
\(452\) −0.739848 2.95421i −0.0347995 0.138954i
\(453\) −7.68337 0.575789i −0.360996 0.0270529i
\(454\) −13.1837 22.2911i −0.618740 1.04617i
\(455\) 51.8520 + 0.0579641i 2.43086 + 0.00271740i
\(456\) −10.0485 + 13.4482i −0.470566 + 0.629768i
\(457\) 18.7229 2.82203i 0.875821 0.132009i 0.304281 0.952582i \(-0.401584\pi\)
0.571541 + 0.820574i \(0.306346\pi\)
\(458\) −3.75242 23.2380i −0.175339 1.08584i
\(459\) 5.27872 3.04767i 0.246390 0.142253i
\(460\) −20.7482 13.5168i −0.967389 0.630223i
\(461\) −3.01109 6.25260i −0.140241 0.291213i 0.819005 0.573786i \(-0.194526\pi\)
−0.959246 + 0.282574i \(0.908812\pi\)
\(462\) −0.165707 17.6691i −0.00770940 0.822041i
\(463\) −12.4429 + 25.8378i −0.578268 + 1.20079i 0.382634 + 0.923900i \(0.375017\pi\)
−0.960903 + 0.276887i \(0.910697\pi\)
\(464\) −21.9345 + 11.7217i −1.01828 + 0.544165i
\(465\) −3.73912 4.02981i −0.173398 0.186878i
\(466\) 0.00855780 0.132900i 0.000396432 0.00615649i
\(467\) −13.1069 + 8.93613i −0.606515 + 0.413515i −0.827262 0.561816i \(-0.810103\pi\)
0.220747 + 0.975331i \(0.429150\pi\)
\(468\) −11.8592 6.51893i −0.548194 0.301338i
\(469\) 5.72262 2.23859i 0.264246 0.103368i
\(470\) −22.2926 8.48026i −1.02828 0.391165i
\(471\) −5.49551 3.17284i −0.253220 0.146197i
\(472\) 2.33800 6.55700i 0.107615 0.301810i
\(473\) −7.00816 4.77808i −0.322236 0.219696i
\(474\) 15.9775 + 12.4695i 0.733869 + 0.572744i
\(475\) 4.47609 + 19.6110i 0.205377 + 0.899816i
\(476\) −21.4638 + 24.0748i −0.983791 + 1.10347i
\(477\) −2.10307 + 9.21414i −0.0962929 + 0.421887i
\(478\) 30.6366 24.9624i 1.40128 1.14175i
\(479\) −28.9283 + 8.92319i −1.32177 + 0.407711i −0.873777 0.486327i \(-0.838336\pi\)
−0.447990 + 0.894038i \(0.647860\pi\)
\(480\) 15.7604 4.47878i 0.719362 0.204427i
\(481\) −13.0225 + 42.2179i −0.593775 + 1.92497i
\(482\) −22.5620 + 1.92912i −1.02767 + 0.0878691i
\(483\) 3.32157 + 10.8112i 0.151137 + 0.491925i
\(484\) −18.4046 + 13.1223i −0.836571 + 0.596466i
\(485\) −2.25798 5.75324i −0.102530 0.261241i
\(486\) 1.04673 + 0.950976i 0.0474807 + 0.0431371i
\(487\) 6.36097 42.2023i 0.288243 1.91237i −0.107870 0.994165i \(-0.534403\pi\)
0.396113 0.918202i \(-0.370359\pi\)
\(488\) 2.41191 + 0.104530i 0.109182 + 0.00473184i
\(489\) 7.23624i 0.327234i
\(490\) 28.5740 2.37883i 1.29084 0.107464i
\(491\) 3.62260i 0.163485i 0.996653 + 0.0817427i \(0.0260486\pi\)
−0.996653 + 0.0817427i \(0.973951\pi\)
\(492\) 9.77922 + 10.1055i 0.440882 + 0.455592i
\(493\) −5.64839 + 37.4746i −0.254391 + 1.68777i
\(494\) 38.1922 42.0378i 1.71835 1.89137i
\(495\) 4.99719 + 12.7326i 0.224607 + 0.572289i
\(496\) −4.06858 6.40970i −0.182685 0.287804i
\(497\) 11.7567 17.2025i 0.527358 0.771638i
\(498\) −1.04225 12.1895i −0.0467041 0.546226i
\(499\) 9.51236 30.8383i 0.425832 1.38051i −0.447891 0.894088i \(-0.647825\pi\)
0.873723 0.486424i \(-0.161699\pi\)
\(500\) −3.87150 + 8.49070i −0.173139 + 0.379716i
\(501\) 3.95848 1.22103i 0.176852 0.0545516i
\(502\) 8.27301 + 10.1535i 0.369242 + 0.453175i
\(503\) −2.40365 + 10.5311i −0.107173 + 0.469558i 0.892650 + 0.450751i \(0.148844\pi\)
−0.999823 + 0.0188065i \(0.994013\pi\)
\(504\) −6.83772 3.04066i −0.304576 0.135442i
\(505\) 1.80848 + 7.92348i 0.0804764 + 0.352590i
\(506\) 17.5649 22.5063i 0.780857 1.00053i
\(507\) 27.0878 + 18.4682i 1.20301 + 0.820201i
\(508\) 8.17350 + 16.0990i 0.362641 + 0.714277i
\(509\) −21.7103 12.5344i −0.962291 0.555579i −0.0654135 0.997858i \(-0.520837\pi\)
−0.896877 + 0.442279i \(0.854170\pi\)
\(510\) 8.87712 23.3358i 0.393085 1.03333i
\(511\) 0.795718 + 1.16991i 0.0352005 + 0.0517539i
\(512\) 22.5265 2.13429i 0.995542 0.0943232i
\(513\) −4.90401 + 3.34350i −0.216517 + 0.147619i
\(514\) 38.9249 + 2.50648i 1.71690 + 0.110556i
\(515\) −23.2259 25.0316i −1.02346 1.10302i
\(516\) −3.07254 + 1.86100i −0.135261 + 0.0819258i
\(517\) 11.9310 24.7751i 0.524727 1.08961i
\(518\) −5.21276 + 23.8682i −0.229035 + 1.04871i
\(519\) 7.50689 + 15.5882i 0.329516 + 0.684247i
\(520\) −54.5257 + 9.98329i −2.39111 + 0.437796i
\(521\) −7.25226 + 4.18709i −0.317727 + 0.183440i −0.650379 0.759610i \(-0.725390\pi\)
0.332652 + 0.943050i \(0.392057\pi\)
\(522\) −8.68046 + 1.40170i −0.379933 + 0.0613507i
\(523\) −0.848709 + 0.127922i −0.0371114 + 0.00559365i −0.167572 0.985860i \(-0.553593\pi\)
0.130460 + 0.991454i \(0.458354\pi\)
\(524\) −29.1907 + 5.02856i −1.27520 + 0.219673i
\(525\) −8.08304 + 3.88146i −0.352773 + 0.169401i
\(526\) −5.47969 + 3.24086i −0.238926 + 0.141308i
\(527\) −11.5365 0.864543i −0.502539 0.0376601i
\(528\) 3.59690 + 18.5443i 0.156535 + 0.807037i
\(529\) 1.72679 4.39980i 0.0750780 0.191296i
\(530\) 17.1620 + 34.7008i 0.745470 + 1.50731i
\(531\) 1.53454 1.92425i 0.0665934 0.0835055i
\(532\) 19.0900 24.9392i 0.827657 1.08125i
\(533\) −29.6635 37.1968i −1.28487 1.61117i
\(534\) 5.12867 10.9421i 0.221939 0.473512i
\(535\) −1.52277 20.3199i −0.0658349 0.878506i
\(536\) −5.58284 + 3.46206i −0.241142 + 0.149538i
\(537\) 2.40196 2.58870i 0.103652 0.111711i
\(538\) 11.4445 + 12.0775i 0.493406 + 0.520696i
\(539\) −0.0739079 + 33.0573i −0.00318344 + 1.42388i
\(540\) 5.78440 + 0.311547i 0.248921 + 0.0134069i
\(541\) −5.23452 4.85693i −0.225050 0.208816i 0.559587 0.828772i \(-0.310960\pi\)
−0.784636 + 0.619956i \(0.787150\pi\)
\(542\) 27.9423 19.4835i 1.20023 0.836887i
\(543\) 21.8052 1.63407i 0.935750 0.0701247i
\(544\) 17.9024 29.4688i 0.767559 1.26346i
\(545\) −26.3938 + 21.0484i −1.13059 + 0.901613i
\(546\) 22.0435 + 12.4526i 0.943374 + 0.532924i
\(547\) −5.13929 4.09844i −0.219740 0.175237i 0.507433 0.861691i \(-0.330595\pi\)
−0.727173 + 0.686455i \(0.759166\pi\)
\(548\) −0.169134 + 0.459055i −0.00722506 + 0.0196099i
\(549\) 0.794537 + 0.311833i 0.0339100 + 0.0133087i
\(550\) 19.7196 + 11.1108i 0.840846 + 0.473766i
\(551\) 2.75777 36.7999i 0.117485 1.56773i
\(552\) −5.58636 10.7229i −0.237771 0.456396i
\(553\) −29.6181 23.6739i −1.25949 1.00672i
\(554\) 10.7740 + 7.18109i 0.457742 + 0.305095i
\(555\) −2.81864 18.7005i −0.119645 0.793791i
\(556\) 13.3241 17.4470i 0.565069 0.739918i
\(557\) 13.0382 + 22.5828i 0.552445 + 0.956862i 0.998097 + 0.0616561i \(0.0196382\pi\)
−0.445653 + 0.895206i \(0.647028\pi\)
\(558\) −0.624714 2.61045i −0.0264463 0.110509i
\(559\) 10.9496 5.27304i 0.463118 0.223026i
\(560\) −29.5804 + 8.03603i −1.25000 + 0.339584i
\(561\) 25.9345 + 12.4894i 1.09496 + 0.527303i
\(562\) 5.10713 23.5106i 0.215431 0.991735i
\(563\) −6.62367 + 6.14586i −0.279154 + 0.259017i −0.807306 0.590132i \(-0.799076\pi\)
0.528152 + 0.849150i \(0.322885\pi\)
\(564\) −7.45049 8.95055i −0.313722 0.376886i
\(565\) −2.48447 3.64404i −0.104522 0.153306i
\(566\) −15.7825 + 5.05026i −0.663388 + 0.212278i
\(567\) −1.93746 1.80173i −0.0813657 0.0756658i
\(568\) −9.02805 + 20.3632i −0.378809 + 0.854421i
\(569\) −10.9077 + 18.8926i −0.457273 + 0.792021i −0.998816 0.0486527i \(-0.984507\pi\)
0.541542 + 0.840673i \(0.317841\pi\)
\(570\) −6.92181 + 23.3057i −0.289923 + 0.976167i
\(571\) −7.56384 + 11.0941i −0.316537 + 0.464274i −0.951227 0.308493i \(-0.900175\pi\)
0.634690 + 0.772767i \(0.281128\pi\)
\(572\) −6.11256 63.6156i −0.255579 2.65990i
\(573\) 6.37787 1.45571i 0.266439 0.0608130i
\(574\) −18.0745 19.1169i −0.754413 0.797924i
\(575\) −14.1242 3.22377i −0.589022 0.134440i
\(576\) 7.77783 + 1.87226i 0.324076 + 0.0780109i
\(577\) −1.79483 5.81871i −0.0747199 0.242236i 0.910506 0.413496i \(-0.135692\pi\)
−0.985226 + 0.171260i \(0.945216\pi\)
\(578\) −10.6905 26.4201i −0.444665 1.09893i
\(579\) 2.86409 + 0.883455i 0.119028 + 0.0367152i
\(580\) −23.9380 + 26.9105i −0.993972 + 1.11740i
\(581\) 1.68489 + 22.8257i 0.0699010 + 0.946968i
\(582\) 0.418424 2.98858i 0.0173442 0.123880i
\(583\) −41.5473 + 16.3061i −1.72071 + 0.675331i
\(584\) −1.06320 1.07585i −0.0439955 0.0445189i
\(585\) −19.3793 2.92096i −0.801236 0.120767i
\(586\) 0.394522 + 37.5866i 0.0162976 + 1.55269i
\(587\) −35.3732 −1.46001 −0.730005 0.683442i \(-0.760482\pi\)
−0.730005 + 0.683442i \(0.760482\pi\)
\(588\) 12.7253 + 5.83674i 0.524781 + 0.240703i
\(589\) 11.2652 0.464174
\(590\) −0.105812 10.0809i −0.00435622 0.415022i
\(591\) −11.5021 1.73366i −0.473133 0.0713133i
\(592\) 0.856921 26.1036i 0.0352193 1.07285i
\(593\) −32.9565 + 12.9345i −1.35336 + 0.531155i −0.927564 0.373664i \(-0.878101\pi\)
−0.425796 + 0.904819i \(0.640006\pi\)
\(594\) −0.926023 + 6.61408i −0.0379952 + 0.271379i
\(595\) −17.1135 + 43.4615i −0.701584 + 1.78175i
\(596\) −3.04768 2.71103i −0.124838 0.111048i
\(597\) 5.36754 + 1.65567i 0.219679 + 0.0677620i
\(598\) 15.3434 + 37.9192i 0.627438 + 1.55063i
\(599\) −11.8651 38.4656i −0.484793 1.57166i −0.786079 0.618126i \(-0.787892\pi\)
0.301286 0.953534i \(-0.402584\pi\)
\(600\) 7.74621 5.64653i 0.316238 0.230519i
\(601\) −31.1613 7.11237i −1.27110 0.290120i −0.466808 0.884358i \(-0.654596\pi\)
−0.804289 + 0.594239i \(0.797453\pi\)
\(602\) 5.78824 3.41461i 0.235911 0.139169i
\(603\) −2.26432 + 0.516816i −0.0922102 + 0.0210464i
\(604\) −15.3392 + 1.47388i −0.624142 + 0.0599712i
\(605\) −18.4399 + 27.0464i −0.749690 + 1.09959i
\(606\) −1.12980 + 3.80404i −0.0458951 + 0.154528i
\(607\) −6.02529 + 10.4361i −0.244559 + 0.423588i −0.962007 0.273023i \(-0.911976\pi\)
0.717449 + 0.696611i \(0.245310\pi\)
\(608\) −15.2393 + 29.9177i −0.618035 + 1.21332i
\(609\) 16.2690 2.43356i 0.659253 0.0986129i
\(610\) 3.32987 1.06553i 0.134822 0.0431420i
\(611\) 22.1947 + 32.5537i 0.897903 + 1.31698i
\(612\) 9.36942 7.79916i 0.378737 0.315262i
\(613\) −0.167354 + 0.155282i −0.00675938 + 0.00627179i −0.683545 0.729908i \(-0.739563\pi\)
0.676786 + 0.736180i \(0.263372\pi\)
\(614\) −3.79691 + 17.4790i −0.153231 + 0.705396i
\(615\) 18.3485 + 8.83617i 0.739883 + 0.356309i
\(616\) −6.32581 34.7690i −0.254874 1.40088i
\(617\) 9.74197 4.69149i 0.392197 0.188872i −0.227383 0.973805i \(-0.573017\pi\)
0.619580 + 0.784933i \(0.287303\pi\)
\(618\) −3.88047 16.2150i −0.156095 0.652264i
\(619\) −15.7124 27.2146i −0.631533 1.09385i −0.987238 0.159249i \(-0.949093\pi\)
0.355705 0.934598i \(-0.384241\pi\)
\(620\) −8.73793 6.67309i −0.350924 0.267998i
\(621\) −0.637118 4.22700i −0.0255667 0.169624i
\(622\) −7.36905 4.91164i −0.295472 0.196939i
\(623\) −9.83195 + 20.3580i −0.393909 + 0.815627i
\(624\) −25.5876 8.82204i −1.02432 0.353164i
\(625\) −2.27624 + 30.3744i −0.0910497 + 1.21497i
\(626\) 37.3473 + 21.0429i 1.49270 + 0.841045i
\(627\) −26.0919 10.2403i −1.04201 0.408959i
\(628\) −11.9088 4.38767i −0.475211 0.175087i
\(629\) −31.1161 24.8143i −1.24068 0.989409i
\(630\) −10.8141 0.708490i −0.430845 0.0282269i
\(631\) 20.4012 16.2694i 0.812159 0.647676i −0.126713 0.991939i \(-0.540443\pi\)
0.938873 + 0.344264i \(0.111871\pi\)
\(632\) 35.7248 + 19.1522i 1.42106 + 0.761833i
\(633\) −5.06132 + 0.379294i −0.201169 + 0.0150756i
\(634\) 27.9570 19.4937i 1.11032 0.774195i
\(635\) 19.1673 + 17.7846i 0.760629 + 0.705761i
\(636\) −1.01660 + 18.8748i −0.0403107 + 0.748436i
\(637\) −40.9662 23.7741i −1.62314 0.941966i
\(638\) −28.5616 30.1413i −1.13076 1.19331i
\(639\) −5.35658 + 5.77302i −0.211903 + 0.228377i
\(640\) 29.5426 14.1787i 1.16778 0.560462i
\(641\) 3.44286 + 45.9417i 0.135985 + 1.81459i 0.481794 + 0.876284i \(0.339985\pi\)
−0.345810 + 0.938305i \(0.612396\pi\)
\(642\) 4.22255 9.00889i 0.166651 0.355552i
\(643\) −5.10472 6.40111i −0.201310 0.252435i 0.670921 0.741529i \(-0.265899\pi\)
−0.872231 + 0.489094i \(0.837328\pi\)
\(644\) 10.2174 + 20.1807i 0.402624 + 0.795231i
\(645\) −3.24351 + 4.06723i −0.127713 + 0.160147i
\(646\) 22.6815 + 45.8610i 0.892393 + 1.80438i
\(647\) −5.15757 + 13.1413i −0.202765 + 0.516637i −0.995696 0.0926741i \(-0.970459\pi\)
0.792932 + 0.609311i \(0.208554\pi\)
\(648\) 2.38596 + 1.51895i 0.0937293 + 0.0596698i
\(649\) 11.5905 + 0.868589i 0.454967 + 0.0340951i
\(650\) −27.9141 + 16.5092i −1.09488 + 0.647546i
\(651\) 1.11194 + 4.89694i 0.0435802 + 0.191926i
\(652\) 2.45693 + 14.2624i 0.0962207 + 0.558559i
\(653\) −14.0291 + 2.11455i −0.549001 + 0.0827485i −0.417685 0.908592i \(-0.637158\pi\)
−0.131316 + 0.991341i \(0.541920\pi\)
\(654\) −16.2726 + 2.62766i −0.636309 + 0.102750i
\(655\) −37.1494 + 21.4482i −1.45155 + 0.838052i
\(656\) 22.7057 + 16.5973i 0.886508 + 0.648017i
\(657\) −0.232028 0.481812i −0.00905229 0.0187973i
\(658\) 13.7432 + 16.9057i 0.535765 + 0.659053i
\(659\) 3.16039 6.56262i 0.123111 0.255644i −0.830300 0.557317i \(-0.811831\pi\)
0.953411 + 0.301673i \(0.0975452\pi\)
\(660\) 14.1724 + 23.3989i 0.551660 + 0.910801i
\(661\) −23.5595 25.3911i −0.916358 0.987599i 0.0836026 0.996499i \(-0.473357\pi\)
−0.999960 + 0.00890037i \(0.997167\pi\)
\(662\) −5.22122 0.336208i −0.202928 0.0130671i
\(663\) −34.0771 + 23.2334i −1.32345 + 0.902311i
\(664\) −6.19296 23.6713i −0.240333 0.918626i
\(665\) 13.4550 43.4476i 0.521763 1.68482i
\(666\) 3.28314 8.63060i 0.127219 0.334429i
\(667\) 23.0175 + 13.2892i 0.891242 + 0.514559i
\(668\) 7.38746 3.75064i 0.285830 0.145116i
\(669\) 6.30997 + 4.30206i 0.243957 + 0.166327i
\(670\) −5.85314 + 7.49975i −0.226126 + 0.289741i
\(671\) 0.896942 + 3.92976i 0.0346260 + 0.151707i
\(672\) −14.5093 3.67143i −0.559709 0.141629i
\(673\) −2.94620 + 12.9081i −0.113567 + 0.497572i 0.885867 + 0.463940i \(0.153565\pi\)
−0.999434 + 0.0336320i \(0.989293\pi\)
\(674\) −13.9085 17.0700i −0.535735 0.657513i
\(675\) 3.23852 0.998950i 0.124651 0.0384496i
\(676\) 59.6598 + 27.2031i 2.29461 + 1.04627i
\(677\) −7.99909 + 25.9324i −0.307430 + 0.996664i 0.661628 + 0.749832i \(0.269866\pi\)
−0.969058 + 0.246832i \(0.920610\pi\)
\(678\) −0.183458 2.14562i −0.00704566 0.0824022i
\(679\) −0.847680 + 5.58164i −0.0325310 + 0.214204i
\(680\) 9.57330 49.0082i 0.367119 1.87938i
\(681\) −6.69035 17.0467i −0.256375 0.653232i
\(682\) 8.52378 9.38205i 0.326392 0.359257i
\(683\) 2.01577 13.3738i 0.0771313 0.511732i −0.916588 0.399833i \(-0.869068\pi\)
0.993719 0.111900i \(-0.0356936\pi\)
\(684\) −8.53043 + 8.25499i −0.326169 + 0.315637i
\(685\) 0.708489i 0.0270700i
\(686\) −23.6784 11.1953i −0.904045 0.427438i
\(687\) 16.6446i 0.635031i
\(688\) −5.42401 + 4.71119i −0.206788 + 0.179612i
\(689\) 9.53128 63.2359i 0.363113 2.40910i
\(690\) −12.9599 11.7744i −0.493376 0.448242i
\(691\) −11.2355 28.6275i −0.427417 1.08904i −0.968708 0.248205i \(-0.920159\pi\)
0.541291 0.840835i \(-0.317936\pi\)
\(692\) 20.0885 + 28.1751i 0.763651 + 1.07106i
\(693\) 1.87602 12.3529i 0.0712640 0.469246i
\(694\) −25.1173 + 2.14761i −0.953440 + 0.0815222i
\(695\) 9.37089 30.3797i 0.355458 1.15237i
\(696\) −16.6330 + 5.70999i −0.630472 + 0.216437i
\(697\) 40.9539 12.6326i 1.55124 0.478495i
\(698\) 27.2088 22.1695i 1.02987 0.839127i
\(699\) 0.0209546 0.0918083i 0.000792577 0.00347251i
\(700\) −14.6135 + 10.3947i −0.552340 + 0.392882i
\(701\) −11.0622 48.4666i −0.417813 1.83056i −0.544686 0.838640i \(-0.683351\pi\)
0.126873 0.991919i \(-0.459506\pi\)
\(702\) −7.54369 5.88743i −0.284718 0.222207i
\(703\) 32.0202 + 21.8310i 1.20767 + 0.823373i
\(704\) 13.3857 + 35.3290i 0.504494 + 1.33151i
\(705\) −14.6057 8.43262i −0.550084 0.317591i
\(706\) −15.7912 6.00710i −0.594311 0.226080i
\(707\) 2.19618 7.09167i 0.0825957 0.266710i
\(708\) 2.37119 4.31367i 0.0891147 0.162118i
\(709\) −20.9667 + 14.2949i −0.787422 + 0.536855i −0.888965 0.457976i \(-0.848575\pi\)
0.101543 + 0.994831i \(0.467622\pi\)
\(710\) −2.07290 + 32.1916i −0.0777945 + 1.20813i
\(711\) 9.74770 + 10.5055i 0.365567 + 0.393988i
\(712\) 6.39326 23.3079i 0.239598 0.873501i
\(713\) −3.52028 + 7.30993i −0.131835 + 0.273759i
\(714\) −17.6969 + 14.3863i −0.662288 + 0.538395i
\(715\) −40.1569 83.3866i −1.50178 3.11848i
\(716\) 3.85525 5.91779i 0.144078 0.221158i
\(717\) 24.2001 13.9719i 0.903769 0.521791i
\(718\) −2.23419 13.8359i −0.0833793 0.516352i
\(719\) −6.18643 + 0.932454i −0.230715 + 0.0347747i −0.263382 0.964692i \(-0.584838\pi\)
0.0326671 + 0.999466i \(0.489600\pi\)
\(720\) 11.5067 1.34993i 0.428828 0.0503090i
\(721\) 6.90690 + 30.4178i 0.257227 + 1.13282i
\(722\) −11.6831 19.7539i −0.434799 0.735165i
\(723\) −15.9672 1.19657i −0.593825 0.0445010i
\(724\) 42.4225 10.6242i 1.57662 0.394847i
\(725\) −7.69835 + 19.6151i −0.285910 + 0.728486i
\(726\) −14.3267 + 7.08558i −0.531715 + 0.262971i
\(727\) −7.61897 + 9.55389i −0.282572 + 0.354334i −0.902779 0.430104i \(-0.858477\pi\)
0.620207 + 0.784438i \(0.287048\pi\)
\(728\) 47.6751 + 17.0593i 1.76696 + 0.632261i
\(729\) 0.623490 + 0.781831i 0.0230922 + 0.0289567i
\(730\) −1.98343 0.929649i −0.0734099 0.0344079i
\(731\) 0.818130 + 10.9172i 0.0302596 + 0.403787i
\(732\) 1.67189 + 0.344843i 0.0617947 + 0.0127458i
\(733\) −14.3521 + 15.4679i −0.530108 + 0.571321i −0.940156 0.340743i \(-0.889321\pi\)
0.410048 + 0.912064i \(0.365512\pi\)
\(734\) −2.25875 + 2.14037i −0.0833722 + 0.0790026i
\(735\) 20.2146 + 1.56033i 0.745627 + 0.0575537i
\(736\) −14.6513 19.2377i −0.540054 0.709113i
\(737\) −8.04025 7.46026i −0.296167 0.274802i
\(738\) 5.68742 + 8.15664i 0.209357 + 0.300250i
\(739\) 16.8743 1.26456i 0.620733 0.0465175i 0.239348 0.970934i \(-0.423066\pi\)
0.381385 + 0.924416i \(0.375447\pi\)
\(740\) −11.9048 35.9010i −0.437631 1.31975i
\(741\) 31.3992 25.0400i 1.15348 0.919867i
\(742\) 2.31185 35.2871i 0.0848705 1.29543i
\(743\) −3.52524 2.81129i −0.129329 0.103136i 0.556689 0.830721i \(-0.312071\pi\)
−0.686018 + 0.727585i \(0.740643\pi\)
\(744\) −2.11762 4.93300i −0.0776357 0.180853i
\(745\) −5.49881 2.15812i −0.201461 0.0790676i
\(746\) −21.8258 + 38.7366i −0.799097 + 1.41825i
\(747\) 0.646472 8.62657i 0.0236532 0.315630i
\(748\) 55.3566 + 15.8107i 2.02404 + 0.578095i
\(749\) −8.09487 + 16.7612i −0.295780 + 0.612441i
\(750\) −3.65964 + 5.49065i −0.133631 + 0.200490i
\(751\) 6.27699 + 41.6451i 0.229050 + 1.51965i 0.747338 + 0.664444i \(0.231332\pi\)
−0.518287 + 0.855206i \(0.673430\pi\)
\(752\) −17.7237 15.1116i −0.646316 0.551063i
\(753\) 4.63057 + 8.02038i 0.168747 + 0.292279i
\(754\) 57.8627 13.8473i 2.10723 0.504289i
\(755\) −20.1064 + 9.68274i −0.731748 + 0.352391i
\(756\) −4.43042 2.89334i −0.161133 0.105230i
\(757\) 29.7618 + 14.3325i 1.08171 + 0.520925i 0.887863 0.460107i \(-0.152189\pi\)
0.193848 + 0.981032i \(0.437903\pi\)
\(758\) 49.2959 + 10.7084i 1.79051 + 0.388946i
\(759\) 14.7984 13.7309i 0.537148 0.498401i
\(760\) −5.72969 + 48.2849i −0.207838 + 1.75148i
\(761\) −15.2118 22.3117i −0.551429 0.808798i 0.444794 0.895633i \(-0.353277\pi\)
−0.996223 + 0.0868355i \(0.972325\pi\)
\(762\) 3.89093 + 12.1595i 0.140953 + 0.440491i
\(763\) 30.4983 4.56202i 1.10411 0.165156i
\(764\) 12.0763 5.03463i 0.436906 0.182147i
\(765\) 8.82725 15.2893i 0.319150 0.552784i
\(766\) −20.9513 6.22257i −0.757002 0.224831i
\(767\) −9.38131 + 13.7599i −0.338739 + 0.496840i
\(768\) 15.9656 + 1.04936i 0.576107 + 0.0378654i
\(769\) −22.8136 + 5.20705i −0.822678 + 0.187771i −0.613084 0.790018i \(-0.710071\pi\)
−0.209594 + 0.977789i \(0.567214\pi\)
\(770\) −26.0040 44.0803i −0.937118 1.58854i
\(771\) 26.8896 + 6.13736i 0.968404 + 0.221032i
\(772\) 5.94500 + 0.768816i 0.213965 + 0.0276703i