Properties

Label 322.2.k.a.83.4
Level $322$
Weight $2$
Character 322.83
Analytic conductor $2.571$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 322 = 2 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 322.k (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.57118294509\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(8\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 83.4
Character \(\chi\) \(=\) 322.83
Dual form 322.2.k.a.97.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.959493 + 0.281733i) q^{2} +(-0.198408 + 0.171921i) q^{3} +(0.841254 - 0.540641i) q^{4} +(-0.382697 - 2.66172i) q^{5} +(0.141935 - 0.220855i) q^{6} +(0.921868 + 2.47995i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(-0.417136 + 2.90124i) q^{9} +O(q^{10})\) \(q+(-0.959493 + 0.281733i) q^{2} +(-0.198408 + 0.171921i) q^{3} +(0.841254 - 0.540641i) q^{4} +(-0.382697 - 2.66172i) q^{5} +(0.141935 - 0.220855i) q^{6} +(0.921868 + 2.47995i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(-0.417136 + 2.90124i) q^{9} +(1.11709 + 2.44608i) q^{10} +(1.12031 - 3.81543i) q^{11} +(-0.0739636 + 0.251897i) q^{12} +(4.25037 - 1.94108i) q^{13} +(-1.58321 - 2.11978i) q^{14} +(0.533536 + 0.462311i) q^{15} +(0.415415 - 0.909632i) q^{16} +(-5.41011 - 3.47687i) q^{17} +(-0.417136 - 2.90124i) q^{18} +(5.37679 - 3.45545i) q^{19} +(-1.76098 - 2.03228i) q^{20} +(-0.609262 - 0.333553i) q^{21} +3.97651i q^{22} +(4.50797 - 1.63652i) q^{23} -0.262531i q^{24} +(-2.14081 + 0.628598i) q^{25} +(-3.53133 + 3.05992i) q^{26} +(-0.841828 - 1.30991i) q^{27} +(2.11629 + 1.58787i) q^{28} +(8.32130 + 5.34778i) q^{29} +(-0.642172 - 0.293270i) q^{30} +(0.278537 + 0.241353i) q^{31} +(-0.142315 + 0.989821i) q^{32} +(0.433676 + 0.949617i) q^{33} +(6.17051 + 1.81182i) q^{34} +(6.24813 - 3.40282i) q^{35} +(1.21761 + 2.66620i) q^{36} +(-5.74235 - 0.825626i) q^{37} +(-4.18548 + 4.83030i) q^{38} +(-0.509594 + 1.11585i) q^{39} +(2.26220 + 1.45383i) q^{40} +(0.832896 - 0.119752i) q^{41} +(0.678556 + 0.148393i) q^{42} +(1.45506 - 1.26082i) q^{43} +(-1.12031 - 3.81543i) q^{44} +7.88192 q^{45} +(-3.86430 + 2.84028i) q^{46} -1.02559i q^{47} +(0.0739636 + 0.251897i) q^{48} +(-5.30032 + 4.57237i) q^{49} +(1.87699 - 1.20627i) q^{50} +(1.67116 - 0.240276i) q^{51} +(2.52621 - 3.93086i) q^{52} +(-8.17174 - 3.73191i) q^{53} +(1.17677 + 1.01968i) q^{54} +(-10.5843 - 1.52180i) q^{55} +(-2.47792 - 0.927322i) q^{56} +(-0.472731 + 1.60997i) q^{57} +(-9.49087 - 2.78677i) q^{58} +(1.80605 - 0.824797i) q^{59} +(0.698783 + 0.100470i) q^{60} +(-4.61116 + 5.32157i) q^{61} +(-0.335251 - 0.153104i) q^{62} +(-7.57949 + 1.64009i) q^{63} +(-0.142315 - 0.989821i) q^{64} +(-6.79320 - 10.5704i) q^{65} +(-0.683647 - 0.788970i) q^{66} +(-1.06118 - 3.61405i) q^{67} -6.43101 q^{68} +(-0.613063 + 1.09972i) q^{69} +(-5.03635 + 5.02528i) q^{70} +(1.23490 - 0.362599i) q^{71} +(-1.91945 - 2.21516i) q^{72} +(7.80294 + 12.1416i) q^{73} +(5.74235 - 0.825626i) q^{74} +(0.316684 - 0.492769i) q^{75} +(2.65509 - 5.81383i) q^{76} +(10.4949 - 0.739005i) q^{77} +(0.174579 - 1.21422i) q^{78} +(1.00899 - 0.460788i) q^{79} +(-2.58016 - 0.757603i) q^{80} +(-8.04482 - 2.36217i) q^{81} +(-0.765420 + 0.349556i) q^{82} +(-2.11904 + 14.7383i) q^{83} +(-0.692876 + 0.0487895i) q^{84} +(-7.18400 + 15.7308i) q^{85} +(-1.04091 + 1.61968i) q^{86} +(-2.57041 + 0.369569i) q^{87} +(2.14986 + 3.34525i) q^{88} +(-2.64879 - 3.05687i) q^{89} +(-7.56265 + 2.22059i) q^{90} +(8.73206 + 8.75129i) q^{91} +(2.90757 - 3.81392i) q^{92} -0.0967576 q^{93} +(0.288941 + 0.984043i) q^{94} +(-11.2551 - 12.9891i) q^{95} +(-0.141935 - 0.220855i) q^{96} +(2.39658 + 16.6686i) q^{97} +(3.79743 - 5.88043i) q^{98} +(10.6022 + 4.84185i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q - 8q^{2} - 8q^{4} - 11q^{7} - 8q^{8} - 6q^{9} + O(q^{10}) \) \( 80q - 8q^{2} - 8q^{4} - 11q^{7} - 8q^{8} - 6q^{9} + 11q^{14} - 8q^{16} - 6q^{18} - 33q^{21} + 18q^{23} - 58q^{25} - 11q^{28} + 16q^{29} + 22q^{30} - 8q^{32} + 47q^{35} + 16q^{36} - 22q^{37} - 30q^{39} - 22q^{42} + 44q^{43} - 4q^{46} + 17q^{49} + 8q^{50} - 88q^{51} + 44q^{53} + 11q^{56} - 22q^{57} - 28q^{58} + 121q^{63} - 8q^{64} - 154q^{65} + 58q^{70} + 42q^{71} - 28q^{72} + 22q^{74} + 38q^{77} + 58q^{78} - 88q^{79} - 26q^{81} - 11q^{84} + 26q^{85} - 132q^{86} + 22q^{88} - 4q^{92} + 152q^{93} - 68q^{95} - 27q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(-1\) \(e\left(\frac{21}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.959493 + 0.281733i −0.678464 + 0.199215i
\(3\) −0.198408 + 0.171921i −0.114551 + 0.0992588i −0.710253 0.703947i \(-0.751419\pi\)
0.595702 + 0.803206i \(0.296874\pi\)
\(4\) 0.841254 0.540641i 0.420627 0.270320i
\(5\) −0.382697 2.66172i −0.171147 1.19036i −0.876466 0.481465i \(-0.840105\pi\)
0.705318 0.708891i \(-0.250804\pi\)
\(6\) 0.141935 0.220855i 0.0579447 0.0901638i
\(7\) 0.921868 + 2.47995i 0.348433 + 0.937334i
\(8\) −0.654861 + 0.755750i −0.231528 + 0.267198i
\(9\) −0.417136 + 2.90124i −0.139045 + 0.967081i
\(10\) 1.11709 + 2.44608i 0.353254 + 0.773518i
\(11\) 1.12031 3.81543i 0.337787 1.15040i −0.599074 0.800694i \(-0.704464\pi\)
0.936861 0.349703i \(-0.113717\pi\)
\(12\) −0.0739636 + 0.251897i −0.0213514 + 0.0727163i
\(13\) 4.25037 1.94108i 1.17884 0.538358i 0.273015 0.962010i \(-0.411979\pi\)
0.905825 + 0.423651i \(0.139252\pi\)
\(14\) −1.58321 2.11978i −0.423130 0.566534i
\(15\) 0.533536 + 0.462311i 0.137758 + 0.119368i
\(16\) 0.415415 0.909632i 0.103854 0.227408i
\(17\) −5.41011 3.47687i −1.31214 0.843264i −0.317666 0.948203i \(-0.602899\pi\)
−0.994479 + 0.104939i \(0.966535\pi\)
\(18\) −0.417136 2.90124i −0.0983199 0.683830i
\(19\) 5.37679 3.45545i 1.23352 0.792736i 0.249085 0.968482i \(-0.419870\pi\)
0.984436 + 0.175746i \(0.0562337\pi\)
\(20\) −1.76098 2.03228i −0.393766 0.454431i
\(21\) −0.609262 0.333553i −0.132952 0.0727872i
\(22\) 3.97651i 0.847795i
\(23\) 4.50797 1.63652i 0.939977 0.341239i
\(24\) 0.262531i 0.0535889i
\(25\) −2.14081 + 0.628598i −0.428162 + 0.125720i
\(26\) −3.53133 + 3.05992i −0.692552 + 0.600100i
\(27\) −0.841828 1.30991i −0.162010 0.252092i
\(28\) 2.11629 + 1.58787i 0.399941 + 0.300079i
\(29\) 8.32130 + 5.34778i 1.54523 + 0.993057i 0.986510 + 0.163698i \(0.0523424\pi\)
0.558716 + 0.829359i \(0.311294\pi\)
\(30\) −0.642172 0.293270i −0.117244 0.0535435i
\(31\) 0.278537 + 0.241353i 0.0500266 + 0.0433483i 0.679515 0.733661i \(-0.262190\pi\)
−0.629489 + 0.777010i \(0.716736\pi\)
\(32\) −0.142315 + 0.989821i −0.0251579 + 0.174977i
\(33\) 0.433676 + 0.949617i 0.0754932 + 0.165307i
\(34\) 6.17051 + 1.81182i 1.05823 + 0.310725i
\(35\) 6.24813 3.40282i 1.05613 0.575182i
\(36\) 1.21761 + 2.66620i 0.202936 + 0.444367i
\(37\) −5.74235 0.825626i −0.944037 0.135732i −0.346928 0.937892i \(-0.612775\pi\)
−0.597109 + 0.802160i \(0.703684\pi\)
\(38\) −4.18548 + 4.83030i −0.678975 + 0.783578i
\(39\) −0.509594 + 1.11585i −0.0816003 + 0.178680i
\(40\) 2.26220 + 1.45383i 0.357686 + 0.229871i
\(41\) 0.832896 0.119752i 0.130077 0.0187022i −0.0769690 0.997033i \(-0.524524\pi\)
0.207046 + 0.978331i \(0.433615\pi\)
\(42\) 0.678556 + 0.148393i 0.104703 + 0.0228975i
\(43\) 1.45506 1.26082i 0.221894 0.192273i −0.536818 0.843698i \(-0.680374\pi\)
0.758713 + 0.651425i \(0.225829\pi\)
\(44\) −1.12031 3.81543i −0.168893 0.575198i
\(45\) 7.88192 1.17497
\(46\) −3.86430 + 2.84028i −0.569760 + 0.418776i
\(47\) 1.02559i 0.149597i −0.997199 0.0747986i \(-0.976169\pi\)
0.997199 0.0747986i \(-0.0238314\pi\)
\(48\) 0.0739636 + 0.251897i 0.0106757 + 0.0363582i
\(49\) −5.30032 + 4.57237i −0.757189 + 0.653196i
\(50\) 1.87699 1.20627i 0.265447 0.170592i
\(51\) 1.67116 0.240276i 0.234009 0.0336453i
\(52\) 2.52621 3.93086i 0.350323 0.545113i
\(53\) −8.17174 3.73191i −1.12247 0.512617i −0.234319 0.972160i \(-0.575286\pi\)
−0.888156 + 0.459543i \(0.848013\pi\)
\(54\) 1.17677 + 1.01968i 0.160138 + 0.138761i
\(55\) −10.5843 1.52180i −1.42719 0.205199i
\(56\) −2.47792 0.927322i −0.331126 0.123919i
\(57\) −0.472731 + 1.60997i −0.0626148 + 0.213246i
\(58\) −9.49087 2.78677i −1.24621 0.365921i
\(59\) 1.80605 0.824797i 0.235128 0.107379i −0.294367 0.955692i \(-0.595109\pi\)
0.529495 + 0.848313i \(0.322381\pi\)
\(60\) 0.698783 + 0.100470i 0.0902125 + 0.0129706i
\(61\) −4.61116 + 5.32157i −0.590399 + 0.681357i −0.969807 0.243873i \(-0.921582\pi\)
0.379408 + 0.925229i \(0.376128\pi\)
\(62\) −0.335251 0.153104i −0.0425769 0.0194442i
\(63\) −7.57949 + 1.64009i −0.954926 + 0.206631i
\(64\) −0.142315 0.989821i −0.0177894 0.123728i
\(65\) −6.79320 10.5704i −0.842593 1.31110i
\(66\) −0.683647 0.788970i −0.0841511 0.0971155i
\(67\) −1.06118 3.61405i −0.129644 0.441527i 0.868929 0.494937i \(-0.164809\pi\)
−0.998573 + 0.0534106i \(0.982991\pi\)
\(68\) −6.43101 −0.779874
\(69\) −0.613063 + 1.09972i −0.0738041 + 0.132390i
\(70\) −5.03635 + 5.02528i −0.601959 + 0.600636i
\(71\) 1.23490 0.362599i 0.146556 0.0430326i −0.207632 0.978207i \(-0.566576\pi\)
0.354187 + 0.935174i \(0.384757\pi\)
\(72\) −1.91945 2.21516i −0.226209 0.261059i
\(73\) 7.80294 + 12.1416i 0.913265 + 1.42107i 0.907020 + 0.421088i \(0.138352\pi\)
0.00624517 + 0.999980i \(0.498012\pi\)
\(74\) 5.74235 0.825626i 0.667535 0.0959770i
\(75\) 0.316684 0.492769i 0.0365675 0.0569001i
\(76\) 2.65509 5.81383i 0.304559 0.666892i
\(77\) 10.4949 0.739005i 1.19600 0.0842174i
\(78\) 0.174579 1.21422i 0.0197672 0.137484i
\(79\) 1.00899 0.460788i 0.113520 0.0518427i −0.357846 0.933781i \(-0.616489\pi\)
0.471365 + 0.881938i \(0.343761\pi\)
\(80\) −2.58016 0.757603i −0.288471 0.0847026i
\(81\) −8.04482 2.36217i −0.893869 0.262464i
\(82\) −0.765420 + 0.349556i −0.0845265 + 0.0386020i
\(83\) −2.11904 + 14.7383i −0.232595 + 1.61773i 0.454211 + 0.890894i \(0.349921\pi\)
−0.686806 + 0.726841i \(0.740988\pi\)
\(84\) −0.692876 + 0.0487895i −0.0755990 + 0.00532337i
\(85\) −7.18400 + 15.7308i −0.779214 + 1.70624i
\(86\) −1.04091 + 1.61968i −0.112244 + 0.174655i
\(87\) −2.57041 + 0.369569i −0.275577 + 0.0396219i
\(88\) 2.14986 + 3.34525i 0.229176 + 0.356605i
\(89\) −2.64879 3.05687i −0.280772 0.324028i 0.597794 0.801650i \(-0.296044\pi\)
−0.878565 + 0.477622i \(0.841499\pi\)
\(90\) −7.56265 + 2.22059i −0.797173 + 0.234071i
\(91\) 8.73206 + 8.75129i 0.915369 + 0.917385i
\(92\) 2.90757 3.81392i 0.303135 0.397629i
\(93\) −0.0967576 −0.0100333
\(94\) 0.288941 + 0.984043i 0.0298020 + 0.101496i
\(95\) −11.2551 12.9891i −1.15475 1.33265i
\(96\) −0.141935 0.220855i −0.0144862 0.0225409i
\(97\) 2.39658 + 16.6686i 0.243336 + 1.69244i 0.635145 + 0.772393i \(0.280940\pi\)
−0.391809 + 0.920046i \(0.628151\pi\)
\(98\) 3.79743 5.88043i 0.383599 0.594014i
\(99\) 10.6022 + 4.84185i 1.06556 + 0.486624i
\(100\) −1.46112 + 1.68622i −0.146112 + 0.168622i
\(101\) −5.85430 0.841722i −0.582525 0.0837544i −0.155248 0.987875i \(-0.549618\pi\)
−0.427276 + 0.904121i \(0.640527\pi\)
\(102\) −1.53577 + 0.701362i −0.152064 + 0.0694452i
\(103\) −13.8255 4.05952i −1.36226 0.399997i −0.482703 0.875784i \(-0.660345\pi\)
−0.879560 + 0.475787i \(0.842163\pi\)
\(104\) −1.31643 + 4.48335i −0.129087 + 0.439629i
\(105\) −0.654660 + 1.74933i −0.0638883 + 0.170717i
\(106\) 8.89213 + 1.27849i 0.863680 + 0.124178i
\(107\) −11.9842 10.3844i −1.15856 1.00390i −0.999863 0.0165672i \(-0.994726\pi\)
−0.158694 0.987328i \(-0.550728\pi\)
\(108\) −1.41638 0.646840i −0.136291 0.0622422i
\(109\) 4.96906 7.73200i 0.475949 0.740592i −0.517398 0.855745i \(-0.673099\pi\)
0.993348 + 0.115153i \(0.0367358\pi\)
\(110\) 10.5843 1.52180i 1.00918 0.145098i
\(111\) 1.28127 0.823422i 0.121613 0.0781558i
\(112\) 2.63880 + 0.191649i 0.249343 + 0.0181091i
\(113\) 2.62670 + 8.94573i 0.247099 + 0.841543i 0.985859 + 0.167575i \(0.0535935\pi\)
−0.738760 + 0.673969i \(0.764588\pi\)
\(114\) 1.67794i 0.157154i
\(115\) −6.08115 11.3726i −0.567070 1.06050i
\(116\) 9.89155 0.918407
\(117\) 3.85856 + 13.1411i 0.356724 + 1.21489i
\(118\) −1.50052 + 1.30021i −0.138134 + 0.119694i
\(119\) 3.63505 16.6220i 0.333225 1.52374i
\(120\) −0.698783 + 0.100470i −0.0637899 + 0.00917160i
\(121\) −4.04864 2.60190i −0.368058 0.236536i
\(122\) 2.92512 6.40512i 0.264828 0.579892i
\(123\) −0.144665 + 0.166952i −0.0130440 + 0.0150536i
\(124\) 0.364805 + 0.0524511i 0.0327605 + 0.00471025i
\(125\) −3.09300 6.77274i −0.276647 0.605772i
\(126\) 6.81040 3.70904i 0.606719 0.330427i
\(127\) −10.2492 3.00944i −0.909469 0.267044i −0.206652 0.978415i \(-0.566257\pi\)
−0.702817 + 0.711370i \(0.748075\pi\)
\(128\) 0.415415 + 0.909632i 0.0367178 + 0.0804009i
\(129\) −0.0719339 + 0.500311i −0.00633343 + 0.0440500i
\(130\) 9.49607 + 8.22839i 0.832860 + 0.721677i
\(131\) 14.9858 + 6.84377i 1.30931 + 0.597943i 0.943076 0.332578i \(-0.107919\pi\)
0.366237 + 0.930521i \(0.380646\pi\)
\(132\) 0.878233 + 0.564406i 0.0764403 + 0.0491252i
\(133\) 13.5261 + 10.1487i 1.17286 + 0.880005i
\(134\) 2.03639 + 3.16869i 0.175918 + 0.273733i
\(135\) −3.16444 + 2.74200i −0.272352 + 0.235994i
\(136\) 6.17051 1.81182i 0.529117 0.155363i
\(137\) 16.0915i 1.37479i 0.726285 + 0.687394i \(0.241245\pi\)
−0.726285 + 0.687394i \(0.758755\pi\)
\(138\) 0.278404 1.22789i 0.0236993 0.104525i
\(139\) 7.28193i 0.617646i −0.951120 0.308823i \(-0.900065\pi\)
0.951120 0.308823i \(-0.0999350\pi\)
\(140\) 3.41656 6.24063i 0.288752 0.527429i
\(141\) 0.176320 + 0.203484i 0.0148488 + 0.0171365i
\(142\) −1.08272 + 0.695822i −0.0908599 + 0.0583921i
\(143\) −2.64431 18.3916i −0.221129 1.53798i
\(144\) 2.46578 + 1.58466i 0.205482 + 0.132055i
\(145\) 11.0497 24.1955i 0.917629 2.00933i
\(146\) −10.9076 9.45145i −0.902716 0.782208i
\(147\) 0.265536 1.81843i 0.0219010 0.149982i
\(148\) −5.27714 + 2.40999i −0.433778 + 0.198100i
\(149\) −0.570934 + 1.94442i −0.0467728 + 0.159293i −0.979568 0.201114i \(-0.935544\pi\)
0.932795 + 0.360407i \(0.117362\pi\)
\(150\) −0.165027 + 0.562029i −0.0134744 + 0.0458895i
\(151\) −0.331448 0.725769i −0.0269728 0.0590623i 0.895666 0.444727i \(-0.146699\pi\)
−0.922639 + 0.385665i \(0.873972\pi\)
\(152\) −0.909592 + 6.32635i −0.0737776 + 0.513135i
\(153\) 12.3440 14.2457i 0.997952 1.15170i
\(154\) −9.86155 + 3.66582i −0.794666 + 0.295400i
\(155\) 0.535819 0.833750i 0.0430380 0.0669684i
\(156\) 0.174579 + 1.21422i 0.0139775 + 0.0972157i
\(157\) −4.81115 + 3.09194i −0.383972 + 0.246764i −0.718360 0.695672i \(-0.755107\pi\)
0.334388 + 0.942435i \(0.391470\pi\)
\(158\) −0.838296 + 0.726387i −0.0666912 + 0.0577883i
\(159\) 2.26293 0.664457i 0.179462 0.0526948i
\(160\) 2.68909 0.212591
\(161\) 8.21425 + 9.67089i 0.647374 + 0.762173i
\(162\) 8.38445 0.658744
\(163\) 9.50020 2.78951i 0.744113 0.218491i 0.112367 0.993667i \(-0.464157\pi\)
0.631746 + 0.775175i \(0.282339\pi\)
\(164\) 0.635934 0.551040i 0.0496581 0.0430290i
\(165\) 2.36164 1.51774i 0.183854 0.118156i
\(166\) −2.11904 14.7383i −0.164470 1.14391i
\(167\) 0.413294 0.643098i 0.0319816 0.0497644i −0.824895 0.565286i \(-0.808766\pi\)
0.856876 + 0.515522i \(0.172402\pi\)
\(168\) 0.651064 0.242019i 0.0502307 0.0186722i
\(169\) 5.78467 6.67586i 0.444974 0.513528i
\(170\) 2.46113 17.1175i 0.188760 1.31285i
\(171\) 7.78226 + 17.0408i 0.595124 + 1.30314i
\(172\) 0.542425 1.84733i 0.0413595 0.140858i
\(173\) −6.03192 + 20.5428i −0.458598 + 1.56184i 0.328185 + 0.944613i \(0.393563\pi\)
−0.786784 + 0.617229i \(0.788255\pi\)
\(174\) 2.36217 1.07877i 0.179076 0.0817810i
\(175\) −3.53243 4.72962i −0.267027 0.357525i
\(176\) −3.00524 2.60406i −0.226529 0.196288i
\(177\) −0.216535 + 0.474145i −0.0162757 + 0.0356389i
\(178\) 3.40272 + 2.18680i 0.255045 + 0.163907i
\(179\) 1.21587 + 8.45653i 0.0908781 + 0.632071i 0.983452 + 0.181169i \(0.0579883\pi\)
−0.892574 + 0.450901i \(0.851103\pi\)
\(180\) 6.63069 4.26129i 0.494223 0.317618i
\(181\) −4.08786 4.71765i −0.303849 0.350660i 0.583206 0.812324i \(-0.301798\pi\)
−0.887055 + 0.461664i \(0.847253\pi\)
\(182\) −10.8439 5.93670i −0.803801 0.440057i
\(183\) 1.84860i 0.136652i
\(184\) −1.71529 + 4.47859i −0.126453 + 0.330166i
\(185\) 15.6005i 1.14697i
\(186\) 0.0928382 0.0272598i 0.00680723 0.00199878i
\(187\) −19.3268 + 16.7467i −1.41331 + 1.22464i
\(188\) −0.554474 0.862778i −0.0404392 0.0629246i
\(189\) 2.47246 3.29526i 0.179845 0.239695i
\(190\) 14.4587 + 9.29202i 1.04894 + 0.674114i
\(191\) 23.3988 + 10.6859i 1.69308 + 0.773204i 0.998555 + 0.0537356i \(0.0171128\pi\)
0.694525 + 0.719468i \(0.255614\pi\)
\(192\) 0.198408 + 0.171921i 0.0143188 + 0.0124074i
\(193\) 0.304095 2.11503i 0.0218893 0.152243i −0.975945 0.218015i \(-0.930042\pi\)
0.997835 + 0.0657718i \(0.0209509\pi\)
\(194\) −6.99559 15.3182i −0.502254 1.09978i
\(195\) 3.16511 + 0.929359i 0.226658 + 0.0665528i
\(196\) −1.98690 + 6.71210i −0.141921 + 0.479435i
\(197\) −4.65265 10.1879i −0.331487 0.725856i 0.668351 0.743846i \(-0.267001\pi\)
−0.999838 + 0.0179901i \(0.994273\pi\)
\(198\) −11.5368 1.65874i −0.819886 0.117882i
\(199\) 8.62375 9.95234i 0.611321 0.705502i −0.362713 0.931901i \(-0.618150\pi\)
0.974035 + 0.226398i \(0.0726951\pi\)
\(200\) 0.926869 2.02956i 0.0655395 0.143512i
\(201\) 0.831879 + 0.534616i 0.0586762 + 0.0377089i
\(202\) 5.85430 0.841722i 0.411907 0.0592233i
\(203\) −5.59109 + 25.5664i −0.392417 + 1.79441i
\(204\) 1.27596 1.10563i 0.0893352 0.0774094i
\(205\) −0.637494 2.17110i −0.0445245 0.151637i
\(206\) 14.4091 1.00393
\(207\) 2.86752 + 13.7614i 0.199307 + 0.956481i
\(208\) 4.67263i 0.323988i
\(209\) −7.16037 24.3860i −0.495293 1.68681i
\(210\) 0.135298 1.86291i 0.00933645 0.128553i
\(211\) −0.613397 + 0.394207i −0.0422280 + 0.0271383i −0.561585 0.827419i \(-0.689808\pi\)
0.519356 + 0.854558i \(0.326172\pi\)
\(212\) −8.89213 + 1.27849i −0.610714 + 0.0878074i
\(213\) −0.182675 + 0.284248i −0.0125167 + 0.0194763i
\(214\) 14.4244 + 6.58739i 0.986030 + 0.450305i
\(215\) −3.91278 3.39044i −0.266849 0.231226i
\(216\) 1.54124 + 0.221597i 0.104868 + 0.0150778i
\(217\) −0.341771 + 0.913253i −0.0232009 + 0.0619957i
\(218\) −2.58942 + 8.81875i −0.175378 + 0.597281i
\(219\) −3.63557 1.06750i −0.245669 0.0721349i
\(220\) −9.72686 + 4.44211i −0.655785 + 0.299487i
\(221\) −29.7438 4.27652i −2.00079 0.287670i
\(222\) −0.997385 + 1.15104i −0.0669401 + 0.0772530i
\(223\) 23.3420 + 10.6600i 1.56310 + 0.713843i 0.994097 0.108493i \(-0.0346026\pi\)
0.569001 + 0.822336i \(0.307330\pi\)
\(224\) −2.58590 + 0.559551i −0.172778 + 0.0373865i
\(225\) −0.930708 6.47322i −0.0620472 0.431548i
\(226\) −5.04060 7.84333i −0.335296 0.521731i
\(227\) −4.30505 4.96830i −0.285736 0.329757i 0.594677 0.803965i \(-0.297280\pi\)
−0.880413 + 0.474208i \(0.842735\pi\)
\(228\) 0.472731 + 1.60997i 0.0313074 + 0.106623i
\(229\) 6.45043 0.426256 0.213128 0.977024i \(-0.431635\pi\)
0.213128 + 0.977024i \(0.431635\pi\)
\(230\) 9.03886 + 9.19871i 0.596005 + 0.606545i
\(231\) −1.95521 + 1.95092i −0.128644 + 0.128361i
\(232\) −9.49087 + 2.78677i −0.623106 + 0.182961i
\(233\) −11.2127 12.9402i −0.734571 0.847740i 0.258408 0.966036i \(-0.416802\pi\)
−0.992978 + 0.118296i \(0.962257\pi\)
\(234\) −7.40452 11.5217i −0.484049 0.753195i
\(235\) −2.72982 + 0.392489i −0.178074 + 0.0256032i
\(236\) 1.07343 1.67029i 0.0698743 0.108727i
\(237\) −0.120971 + 0.264890i −0.00785793 + 0.0172065i
\(238\) 1.19516 + 16.9728i 0.0774704 + 1.10018i
\(239\) 2.19846 15.2906i 0.142206 0.989068i −0.786325 0.617813i \(-0.788019\pi\)
0.928531 0.371254i \(-0.121072\pi\)
\(240\) 0.642172 0.293270i 0.0414520 0.0189305i
\(241\) −5.07767 1.49094i −0.327081 0.0960398i 0.114069 0.993473i \(-0.463611\pi\)
−0.441151 + 0.897433i \(0.645430\pi\)
\(242\) 4.61768 + 1.35587i 0.296836 + 0.0871588i
\(243\) 6.25140 2.85492i 0.401028 0.183143i
\(244\) −1.00210 + 6.96977i −0.0641530 + 0.446194i
\(245\) 14.1988 + 12.3581i 0.907127 + 0.789531i
\(246\) 0.0917692 0.200947i 0.00585099 0.0128119i
\(247\) 16.1460 25.1237i 1.02735 1.59859i
\(248\) −0.364805 + 0.0524511i −0.0231652 + 0.00333065i
\(249\) −2.11339 3.28849i −0.133930 0.208400i
\(250\) 4.87582 + 5.62699i 0.308374 + 0.355882i
\(251\) 9.12327 2.67883i 0.575856 0.169087i 0.0191796 0.999816i \(-0.493895\pi\)
0.556676 + 0.830729i \(0.312076\pi\)
\(252\) −5.48957 + 5.47751i −0.345811 + 0.345051i
\(253\) −1.19372 19.0333i −0.0750484 1.19661i
\(254\) 10.6819 0.670241
\(255\) −1.27909 4.35619i −0.0800998 0.272795i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) −1.08832 1.69346i −0.0678877 0.105635i 0.805650 0.592392i \(-0.201816\pi\)
−0.873538 + 0.486757i \(0.838180\pi\)
\(258\) −0.0719339 0.500311i −0.00447841 0.0311480i
\(259\) −3.24618 15.0019i −0.201708 0.932171i
\(260\) −11.4296 5.21973i −0.708834 0.323714i
\(261\) −18.9863 + 21.9114i −1.17522 + 1.35628i
\(262\) −16.3069 2.34457i −1.00744 0.144848i
\(263\) 0.997733 0.455649i 0.0615229 0.0280965i −0.384416 0.923160i \(-0.625597\pi\)
0.445939 + 0.895063i \(0.352870\pi\)
\(264\) −1.00167 0.294117i −0.0616485 0.0181016i
\(265\) −6.80598 + 23.1790i −0.418088 + 1.42388i
\(266\) −15.8374 5.92689i −0.971052 0.363401i
\(267\) 1.05108 + 0.151123i 0.0643252 + 0.00924857i
\(268\) −2.84663 2.46662i −0.173885 0.150673i
\(269\) 1.29114 + 0.589644i 0.0787223 + 0.0359513i 0.454387 0.890804i \(-0.349858\pi\)
−0.375665 + 0.926756i \(0.622586\pi\)
\(270\) 2.26375 3.52246i 0.137767 0.214370i
\(271\) −24.5322 + 3.52719i −1.49022 + 0.214262i −0.838794 0.544449i \(-0.816739\pi\)
−0.651428 + 0.758710i \(0.725830\pi\)
\(272\) −5.41011 + 3.47687i −0.328036 + 0.210816i
\(273\) −3.23704 0.235097i −0.195915 0.0142287i
\(274\) −4.53349 15.4397i −0.273878 0.932744i
\(275\) 8.87234i 0.535022i
\(276\) 0.0788099 + 1.25659i 0.00474380 + 0.0756376i
\(277\) −20.9882 −1.26106 −0.630530 0.776165i \(-0.717163\pi\)
−0.630530 + 0.776165i \(0.717163\pi\)
\(278\) 2.05156 + 6.98696i 0.123044 + 0.419050i
\(279\) −0.816412 + 0.707425i −0.0488773 + 0.0423524i
\(280\) −1.51998 + 6.95039i −0.0908359 + 0.415366i
\(281\) −7.53054 + 1.08273i −0.449234 + 0.0645902i −0.363219 0.931704i \(-0.618322\pi\)
−0.0860151 + 0.996294i \(0.527413\pi\)
\(282\) −0.226506 0.145567i −0.0134882 0.00866837i
\(283\) −3.06348 + 6.70808i −0.182105 + 0.398754i −0.978565 0.205937i \(-0.933976\pi\)
0.796460 + 0.604691i \(0.206703\pi\)
\(284\) 0.842827 0.972674i 0.0500126 0.0577176i
\(285\) 4.46621 + 0.642144i 0.264555 + 0.0380373i
\(286\) 7.71872 + 16.9016i 0.456417 + 0.999415i
\(287\) 1.06480 + 1.95515i 0.0628532 + 0.115409i
\(288\) −2.81235 0.825780i −0.165719 0.0486595i
\(289\) 10.1186 + 22.1567i 0.595214 + 1.30334i
\(290\) −3.78547 + 26.3285i −0.222290 + 1.54606i
\(291\) −3.34119 2.89515i −0.195864 0.169717i
\(292\) 13.1285 + 5.99559i 0.768287 + 0.350865i
\(293\) −25.4790 16.3743i −1.48850 0.956599i −0.996284 0.0861235i \(-0.972552\pi\)
−0.492212 0.870475i \(-0.663812\pi\)
\(294\) 0.257532 + 1.81958i 0.0150196 + 0.106120i
\(295\) −2.88654 4.49155i −0.168061 0.261508i
\(296\) 4.38441 3.79911i 0.254838 0.220819i
\(297\) −5.94098 + 1.74443i −0.344731 + 0.101222i
\(298\) 2.02651i 0.117393i
\(299\) 15.9839 15.7062i 0.924374 0.908311i
\(300\) 0.585756i 0.0338186i
\(301\) 4.46814 + 2.44617i 0.257539 + 0.140995i
\(302\) 0.522495 + 0.602991i 0.0300662 + 0.0346982i
\(303\) 1.30625 0.839475i 0.0750420 0.0482266i
\(304\) −0.909592 6.32635i −0.0521687 0.362841i
\(305\) 15.9292 + 10.2371i 0.912102 + 0.586172i
\(306\) −7.83048 + 17.1464i −0.447639 + 0.980193i
\(307\) 9.79427 + 8.48678i 0.558989 + 0.484366i 0.887927 0.459985i \(-0.152145\pi\)
−0.328938 + 0.944352i \(0.606691\pi\)
\(308\) 8.42931 6.29564i 0.480304 0.358728i
\(309\) 3.44100 1.57145i 0.195752 0.0893967i
\(310\) −0.279220 + 0.950935i −0.0158586 + 0.0540095i
\(311\) −3.06917 + 10.4526i −0.174037 + 0.592714i 0.825560 + 0.564314i \(0.190859\pi\)
−0.999597 + 0.0283999i \(0.990959\pi\)
\(312\) −0.509594 1.11585i −0.0288501 0.0631728i
\(313\) 1.69494 11.7886i 0.0958037 0.666329i −0.884165 0.467176i \(-0.845272\pi\)
0.979968 0.199154i \(-0.0638193\pi\)
\(314\) 3.74517 4.32215i 0.211352 0.243913i
\(315\) 7.26609 + 19.5468i 0.409398 + 1.10134i
\(316\) 0.599692 0.933139i 0.0337353 0.0524932i
\(317\) 1.83794 + 12.7832i 0.103229 + 0.717974i 0.974043 + 0.226362i \(0.0726831\pi\)
−0.870814 + 0.491612i \(0.836408\pi\)
\(318\) −1.98407 + 1.27508i −0.111261 + 0.0715031i
\(319\) 29.7265 25.7582i 1.66437 1.44218i
\(320\) −2.58016 + 0.757603i −0.144235 + 0.0423513i
\(321\) 4.16305 0.232359
\(322\) −10.6061 6.96492i −0.591056 0.388140i
\(323\) −41.1032 −2.28704
\(324\) −8.04482 + 2.36217i −0.446934 + 0.131232i
\(325\) −7.87907 + 6.82725i −0.437052 + 0.378708i
\(326\) −8.32948 + 5.35303i −0.461327 + 0.296477i
\(327\) 0.343397 + 2.38838i 0.0189899 + 0.132078i
\(328\) −0.454928 + 0.707882i −0.0251192 + 0.0390863i
\(329\) 2.54341 0.945455i 0.140222 0.0521246i
\(330\) −1.83839 + 2.12161i −0.101200 + 0.116791i
\(331\) −1.78817 + 12.4370i −0.0982866 + 0.683598i 0.879791 + 0.475360i \(0.157682\pi\)
−0.978078 + 0.208238i \(0.933227\pi\)
\(332\) 6.18546 + 13.5443i 0.339471 + 0.743338i
\(333\) 4.79068 16.3156i 0.262528 0.894087i
\(334\) −0.215371 + 0.733486i −0.0117846 + 0.0401346i
\(335\) −9.21347 + 4.20765i −0.503386 + 0.229888i
\(336\) −0.556507 + 0.415642i −0.0303600 + 0.0226751i
\(337\) 4.13685 + 3.58460i 0.225348 + 0.195265i 0.760216 0.649670i \(-0.225093\pi\)
−0.534868 + 0.844936i \(0.679639\pi\)
\(338\) −3.66954 + 8.03517i −0.199597 + 0.437056i
\(339\) −2.05912 1.32332i −0.111836 0.0718726i
\(340\) 2.46113 + 17.1175i 0.133473 + 0.928328i
\(341\) 1.23292 0.792346i 0.0667661 0.0429080i
\(342\) −12.2680 14.1580i −0.663376 0.765576i
\(343\) −16.2255 8.92941i −0.876093 0.482143i
\(344\) 1.92532i 0.103806i
\(345\) 3.16175 + 1.21094i 0.170223 + 0.0651949i
\(346\) 21.4101i 1.15101i
\(347\) −10.7461 + 3.15534i −0.576880 + 0.169387i −0.557141 0.830418i \(-0.688102\pi\)
−0.0197391 + 0.999805i \(0.506284\pi\)
\(348\) −1.96256 + 1.70057i −0.105204 + 0.0911600i
\(349\) −14.7121 22.8925i −0.787521 1.22541i −0.970217 0.242237i \(-0.922119\pi\)
0.182696 0.983169i \(-0.441518\pi\)
\(350\) 4.72183 + 3.54283i 0.252393 + 0.189372i
\(351\) −6.12072 3.93355i −0.326700 0.209957i
\(352\) 3.61716 + 1.65190i 0.192795 + 0.0880466i
\(353\) 6.17468 + 5.35039i 0.328645 + 0.284773i 0.803516 0.595283i \(-0.202960\pi\)
−0.474871 + 0.880055i \(0.657505\pi\)
\(354\) 0.0741815 0.515944i 0.00394270 0.0274221i
\(355\) −1.43773 3.14818i −0.0763066 0.167088i
\(356\) −3.88098 1.13956i −0.205691 0.0603965i
\(357\) 2.13646 + 3.92288i 0.113073 + 0.207621i
\(358\) −3.54909 7.77143i −0.187575 0.410733i
\(359\) 20.6964 + 2.97570i 1.09232 + 0.157051i 0.664847 0.746979i \(-0.268497\pi\)
0.427468 + 0.904030i \(0.359406\pi\)
\(360\) −5.16156 + 5.95676i −0.272038 + 0.313949i
\(361\) 9.07685 19.8755i 0.477729 1.04608i
\(362\) 5.25139 + 3.37486i 0.276007 + 0.177379i
\(363\) 1.25060 0.179810i 0.0656396 0.00943756i
\(364\) 12.0772 + 2.64115i 0.633016 + 0.138434i
\(365\) 29.3314 25.4158i 1.53527 1.33032i
\(366\) 0.520810 + 1.77372i 0.0272232 + 0.0927136i
\(367\) 12.8748 0.672062 0.336031 0.941851i \(-0.390915\pi\)
0.336031 + 0.941851i \(0.390915\pi\)
\(368\) 0.384043 4.78043i 0.0200196 0.249197i
\(369\) 2.46639i 0.128395i
\(370\) −4.39516 14.9685i −0.228494 0.778177i
\(371\) 1.72169 23.7058i 0.0893856 1.23075i
\(372\) −0.0813977 + 0.0523111i −0.00422027 + 0.00271220i
\(373\) 15.8816 2.28343i 0.822318 0.118232i 0.281703 0.959502i \(-0.409101\pi\)
0.540615 + 0.841270i \(0.318192\pi\)
\(374\) 13.8258 21.5133i 0.714915 1.11243i
\(375\) 1.77805 + 0.812010i 0.0918183 + 0.0419320i
\(376\) 0.775087 + 0.671616i 0.0399720 + 0.0346360i
\(377\) 45.7491 + 6.57772i 2.35620 + 0.338770i
\(378\) −1.44393 + 3.85835i −0.0742675 + 0.198452i
\(379\) −9.32639 + 31.7628i −0.479064 + 1.63154i 0.265585 + 0.964087i \(0.414435\pi\)
−0.744650 + 0.667456i \(0.767383\pi\)
\(380\) −16.4908 4.84215i −0.845963 0.248397i
\(381\) 2.55091 1.16496i 0.130687 0.0596827i
\(382\) −25.4616 3.66082i −1.30273 0.187304i
\(383\) −14.3742 + 16.5888i −0.734489 + 0.847646i −0.992969 0.118371i \(-0.962233\pi\)
0.258480 + 0.966017i \(0.416778\pi\)
\(384\) −0.238807 0.109059i −0.0121866 0.00556541i
\(385\) −5.98337 27.6515i −0.304941 1.40925i
\(386\) 0.304095 + 2.11503i 0.0154780 + 0.107652i
\(387\) 3.05098 + 4.74741i 0.155090 + 0.241325i
\(388\) 11.0279 + 12.7268i 0.559854 + 0.646107i
\(389\) 6.90926 + 23.5308i 0.350314 + 1.19306i 0.926675 + 0.375864i \(0.122654\pi\)
−0.576361 + 0.817195i \(0.695528\pi\)
\(390\) −3.29873 −0.167038
\(391\) −30.0786 6.81983i −1.52114 0.344893i
\(392\) 0.0154007 6.99998i 0.000777854 0.353553i
\(393\) −4.14988 + 1.21852i −0.209334 + 0.0614660i
\(394\) 7.33444 + 8.46439i 0.369504 + 0.426430i
\(395\) −1.61262 2.50929i −0.0811399 0.126256i
\(396\) 11.5368 1.65874i 0.579747 0.0833550i
\(397\) 14.7149 22.8968i 0.738517 1.14916i −0.245207 0.969471i \(-0.578856\pi\)
0.983724 0.179685i \(-0.0575077\pi\)
\(398\) −5.47053 + 11.9788i −0.274213 + 0.600442i
\(399\) −4.42845 + 0.311833i −0.221700 + 0.0156112i
\(400\) −0.317531 + 2.20848i −0.0158766 + 0.110424i
\(401\) −22.2308 + 10.1525i −1.11015 + 0.506989i −0.884181 0.467145i \(-0.845283\pi\)
−0.225971 + 0.974134i \(0.572556\pi\)
\(402\) −0.948801 0.278593i −0.0473219 0.0138950i
\(403\) 1.65237 + 0.485179i 0.0823104 + 0.0241685i
\(404\) −5.38002 + 2.45697i −0.267666 + 0.122239i
\(405\) −3.20870 + 22.3170i −0.159442 + 1.10894i
\(406\) −1.83827 26.1059i −0.0912319 1.29562i
\(407\) −9.58334 + 20.9846i −0.475029 + 1.04017i
\(408\) −0.912786 + 1.42032i −0.0451896 + 0.0703164i
\(409\) 17.1474 2.46543i 0.847886 0.121908i 0.295342 0.955392i \(-0.404566\pi\)
0.552544 + 0.833484i \(0.313657\pi\)
\(410\) 1.22334 + 1.90356i 0.0604165 + 0.0940100i
\(411\) −2.76647 3.19267i −0.136460 0.157483i
\(412\) −13.8255 + 4.05952i −0.681132 + 0.199998i
\(413\) 3.71040 + 3.71857i 0.182577 + 0.182979i
\(414\) −6.62839 12.3961i −0.325768 0.609233i
\(415\) 40.0400 1.96549
\(416\) 1.31643 + 4.48335i 0.0645433 + 0.219814i
\(417\) 1.25192 + 1.44479i 0.0613068 + 0.0707518i
\(418\) 13.7406 + 21.3809i 0.672077 + 1.04577i
\(419\) 0.361489 + 2.51421i 0.0176599 + 0.122827i 0.996744 0.0806271i \(-0.0256923\pi\)
−0.979084 + 0.203454i \(0.934783\pi\)
\(420\) 0.395025 + 1.82557i 0.0192753 + 0.0890786i
\(421\) 8.16446 + 3.72859i 0.397912 + 0.181720i 0.604313 0.796747i \(-0.293448\pi\)
−0.206401 + 0.978467i \(0.566175\pi\)
\(422\) 0.477490 0.551052i 0.0232438 0.0268248i
\(423\) 2.97548 + 0.427809i 0.144673 + 0.0208008i
\(424\) 8.17174 3.73191i 0.396855 0.181237i
\(425\) 13.7676 + 4.04252i 0.667825 + 0.196091i
\(426\) 0.0951935 0.324199i 0.00461214 0.0157075i
\(427\) −17.4481 6.52968i −0.844373 0.315993i
\(428\) −15.6960 2.25674i −0.758693 0.109084i
\(429\) 3.68656 + 3.19442i 0.177989 + 0.154228i
\(430\) 4.70948 + 2.15075i 0.227112 + 0.103718i
\(431\) −5.28761 + 8.22768i −0.254695 + 0.396314i −0.944930 0.327272i \(-0.893871\pi\)
0.690235 + 0.723585i \(0.257507\pi\)
\(432\) −1.54124 + 0.221597i −0.0741531 + 0.0106616i
\(433\) −3.52095 + 2.26278i −0.169206 + 0.108742i −0.622503 0.782617i \(-0.713884\pi\)
0.453297 + 0.891360i \(0.350248\pi\)
\(434\) 0.0706334 0.972548i 0.00339051 0.0466838i
\(435\) 1.96737 + 6.70026i 0.0943284 + 0.321253i
\(436\) 9.19105i 0.440171i
\(437\) 18.5835 24.3763i 0.888968 1.16608i
\(438\) 3.78905 0.181048
\(439\) −1.47884 5.03646i −0.0705811 0.240377i 0.916645 0.399702i \(-0.130886\pi\)
−0.987226 + 0.159325i \(0.949068\pi\)
\(440\) 8.08136 7.00254i 0.385264 0.333833i
\(441\) −11.0546 17.2848i −0.526410 0.823087i
\(442\) 29.7438 4.27652i 1.41477 0.203413i
\(443\) 14.7204 + 9.46024i 0.699388 + 0.449470i 0.841412 0.540394i \(-0.181725\pi\)
−0.142024 + 0.989863i \(0.545361\pi\)
\(444\) 0.632697 1.38541i 0.0300265 0.0657488i
\(445\) −7.12284 + 8.22019i −0.337655 + 0.389675i
\(446\) −25.3998 3.65194i −1.20271 0.172924i
\(447\) −0.221010 0.483945i −0.0104534 0.0228898i
\(448\) 2.32351 1.26542i 0.109776 0.0597854i
\(449\) −11.9490 3.50854i −0.563908 0.165578i −0.0126600 0.999920i \(-0.504030\pi\)
−0.551248 + 0.834342i \(0.685848\pi\)
\(450\) 2.71672 + 5.94879i 0.128068 + 0.280429i
\(451\) 0.476197 3.31202i 0.0224232 0.155957i
\(452\) 7.04615 + 6.10552i 0.331423 + 0.287180i
\(453\) 0.190537 + 0.0870153i 0.00895221 + 0.00408834i
\(454\) 5.53040 + 3.55417i 0.259555 + 0.166806i
\(455\) 19.9517 26.5914i 0.935351 1.24662i
\(456\) −0.907164 1.41158i −0.0424819 0.0661031i
\(457\) 0.993823 0.861153i 0.0464891 0.0402830i −0.631306 0.775534i \(-0.717481\pi\)
0.677795 + 0.735251i \(0.262935\pi\)
\(458\) −6.18914 + 1.81730i −0.289200 + 0.0849167i
\(459\) 10.0137i 0.467398i
\(460\) −11.2643 6.27955i −0.525201 0.292786i
\(461\) 16.8427i 0.784442i 0.919871 + 0.392221i \(0.128293\pi\)
−0.919871 + 0.392221i \(0.871707\pi\)
\(462\) 1.32638 2.42274i 0.0617086 0.112716i
\(463\) −17.7141 20.4432i −0.823245 0.950075i 0.176167 0.984360i \(-0.443630\pi\)
−0.999412 + 0.0342849i \(0.989085\pi\)
\(464\) 8.32130 5.34778i 0.386307 0.248264i
\(465\) 0.0370288 + 0.257541i 0.00171717 + 0.0119432i
\(466\) 14.4042 + 9.25703i 0.667262 + 0.428823i
\(467\) 5.64952 12.3707i 0.261428 0.572448i −0.732713 0.680538i \(-0.761746\pi\)
0.994141 + 0.108090i \(0.0344733\pi\)
\(468\) 10.3506 + 8.96886i 0.478457 + 0.414586i
\(469\) 7.98441 5.96336i 0.368686 0.275362i
\(470\) 2.50867 1.14567i 0.115716 0.0528458i
\(471\) 0.422999 1.44060i 0.0194908 0.0663795i
\(472\) −0.559373 + 1.90505i −0.0257472 + 0.0876871i
\(473\) −3.18044 6.96419i −0.146237 0.320214i
\(474\) 0.0414429 0.288242i 0.00190354 0.0132394i
\(475\) −9.33859 + 10.7773i −0.428484 + 0.494497i
\(476\) −5.92854 15.9486i −0.271734 0.731003i
\(477\) 14.2359 22.1515i 0.651817 1.01425i
\(478\) 2.19846 + 15.2906i 0.100555 + 0.699377i
\(479\) 2.87327 1.84654i 0.131283 0.0843704i −0.473351 0.880874i \(-0.656956\pi\)
0.604634 + 0.796504i \(0.293319\pi\)
\(480\) −0.533536 + 0.462311i −0.0243525 + 0.0211015i
\(481\) −26.0097 + 7.63714i −1.18594 + 0.348224i
\(482\) 5.29203 0.241046
\(483\) −3.29240 0.506573i −0.149810 0.0230499i
\(484\) −4.81262 −0.218756
\(485\) 43.4499 12.7580i 1.97296 0.579313i
\(486\) −5.19385 + 4.50050i −0.235598 + 0.204147i
\(487\) −6.95311 + 4.46849i −0.315075 + 0.202487i −0.688614 0.725128i \(-0.741781\pi\)
0.373539 + 0.927615i \(0.378144\pi\)
\(488\) −1.00210 6.96977i −0.0453630 0.315507i
\(489\) −1.40534 + 2.18675i −0.0635516 + 0.0988881i
\(490\) −17.1053 7.85726i −0.772739 0.354955i
\(491\) −0.730535 + 0.843083i −0.0329686 + 0.0380478i −0.771994 0.635629i \(-0.780741\pi\)
0.739026 + 0.673677i \(0.235286\pi\)
\(492\) −0.0314387 + 0.218661i −0.00141737 + 0.00985801i
\(493\) −26.4257 57.8641i −1.19015 2.60607i
\(494\) −8.41384 + 28.6549i −0.378557 + 1.28925i
\(495\) 8.83021 30.0729i 0.396888 1.35168i
\(496\) 0.335251 0.153104i 0.0150532 0.00687457i
\(497\) 2.03764 + 2.72822i 0.0914007 + 0.122377i
\(498\) 2.95426 + 2.55988i 0.132383 + 0.114711i
\(499\) −4.82060 + 10.5556i −0.215800 + 0.472535i −0.986312 0.164890i \(-0.947273\pi\)
0.770512 + 0.637425i \(0.220000\pi\)
\(500\) −6.26362 4.02538i −0.280118 0.180021i
\(501\) 0.0285615 + 0.198650i 0.00127603 + 0.00887501i
\(502\) −7.99900 + 5.14065i −0.357013 + 0.229438i
\(503\) −7.46004 8.60935i −0.332627 0.383872i 0.564657 0.825326i \(-0.309008\pi\)
−0.897284 + 0.441454i \(0.854463\pi\)
\(504\) 3.72401 6.80222i 0.165881 0.302995i
\(505\) 15.9046i 0.707746i
\(506\) 6.50766 + 17.9260i 0.289301 + 0.796907i
\(507\) 2.31905i 0.102993i
\(508\) −10.2492 + 3.00944i −0.454735 + 0.133522i
\(509\) −30.9551 + 26.8228i −1.37206 + 1.18890i −0.411307 + 0.911497i \(0.634928\pi\)
−0.960754 + 0.277401i \(0.910527\pi\)
\(510\) 2.45456 + 3.81937i 0.108690 + 0.169124i
\(511\) −22.9173 + 30.5439i −1.01380 + 1.35118i
\(512\) 0.841254 + 0.540641i 0.0371785 + 0.0238932i
\(513\) −9.05267 4.13421i −0.399685 0.182530i
\(514\) 1.52134 + 1.31825i 0.0671035 + 0.0581455i
\(515\) −5.51433 + 38.3530i −0.242990 + 1.69004i
\(516\) 0.209974 + 0.459779i 0.00924360 + 0.0202407i
\(517\) −3.91306 1.14898i −0.172096 0.0505320i
\(518\) 7.34120 + 13.4796i 0.322554 + 0.592261i
\(519\) −2.33497 5.11287i −0.102494 0.224430i
\(520\) 12.4372 + 1.78820i 0.545407 + 0.0784177i
\(521\) −1.34936 + 1.55724i −0.0591165 + 0.0682240i −0.784538 0.620081i \(-0.787100\pi\)
0.725421 + 0.688305i \(0.241645\pi\)
\(522\) 12.0441 26.3729i 0.527155 1.15431i
\(523\) 15.7277 + 10.1076i 0.687726 + 0.441975i 0.837277 0.546779i \(-0.184146\pi\)
−0.149551 + 0.988754i \(0.547783\pi\)
\(524\) 16.3069 2.34457i 0.712368 0.102423i
\(525\) 1.51398 + 0.331092i 0.0660757 + 0.0144500i
\(526\) −0.828947 + 0.718286i −0.0361438 + 0.0313188i
\(527\) −0.667760 2.27418i −0.0290881 0.0990649i
\(528\) 1.04396 0.0454324
\(529\) 17.6436 14.7548i 0.767112 0.641513i
\(530\) 24.1576i 1.04934i
\(531\) 1.63957 + 5.58385i 0.0711511 + 0.242318i
\(532\) 16.8656 + 1.22490i 0.731219 + 0.0531063i
\(533\) 3.30767 2.12571i 0.143271 0.0920747i
\(534\) −1.05108 + 0.151123i −0.0454848 + 0.00653973i
\(535\) −23.0539 + 35.8726i −0.996708 + 1.55091i
\(536\) 3.42624 + 1.56471i 0.147991 + 0.0675853i
\(537\) −1.69509 1.46881i −0.0731487 0.0633837i
\(538\) −1.40496 0.202003i −0.0605723 0.00870898i
\(539\) 11.5076 + 25.3455i 0.495666 + 1.09171i
\(540\) −1.17966 + 4.01755i −0.0507644 + 0.172888i
\(541\) −2.56141 0.752097i −0.110123 0.0323352i 0.226207 0.974079i \(-0.427368\pi\)
−0.336330 + 0.941744i \(0.609186\pi\)
\(542\) 22.5447 10.2958i 0.968378 0.442243i
\(543\) 1.62213 + 0.233227i 0.0696122 + 0.0100087i
\(544\) 4.21142 4.86023i 0.180563 0.208381i
\(545\) −22.4820 10.2672i −0.963025 0.439799i
\(546\) 3.17215 0.686406i 0.135756 0.0293755i
\(547\) 0.386626 + 2.68905i 0.0165310 + 0.114975i 0.996416 0.0845870i \(-0.0269571\pi\)
−0.979885 + 0.199562i \(0.936048\pi\)
\(548\) 8.69971 + 13.5370i 0.371633 + 0.578272i
\(549\) −13.5157 15.5979i −0.576835 0.665703i
\(550\) −2.49963 8.51294i −0.106584 0.362993i
\(551\) 63.2209 2.69330
\(552\) −0.429639 1.18348i −0.0182866 0.0503723i
\(553\) 2.07288 + 2.07745i 0.0881480 + 0.0883422i
\(554\) 20.1381 5.91307i 0.855584 0.251222i
\(555\) −2.68205 3.09525i −0.113847 0.131386i
\(556\) −3.93691 6.12595i −0.166962 0.259798i
\(557\) −26.1595 + 3.76116i −1.10841 + 0.159366i −0.672122 0.740440i \(-0.734617\pi\)
−0.436290 + 0.899806i \(0.643708\pi\)
\(558\) 0.584037 0.908779i 0.0247243 0.0384717i
\(559\) 3.73720 8.18332i 0.158067 0.346118i
\(560\) −0.499747 7.09708i −0.0211182 0.299906i
\(561\) 0.955459 6.64536i 0.0403395 0.280567i
\(562\) 6.92046 3.16047i 0.291922 0.133316i
\(563\) 45.1554 + 13.2588i 1.90307 + 0.558792i 0.987744 + 0.156084i \(0.0498870\pi\)
0.915328 + 0.402709i \(0.131931\pi\)
\(564\) 0.258342 + 0.0758560i 0.0108782 + 0.00319412i
\(565\) 22.8057 10.4150i 0.959445 0.438164i
\(566\) 1.04950 7.29944i 0.0441138 0.306818i
\(567\) −1.55819 22.1284i −0.0654377 0.929304i
\(568\) −0.534653 + 1.17073i −0.0224335 + 0.0491226i
\(569\) 4.36181 6.78710i 0.182856 0.284530i −0.737709 0.675119i \(-0.764092\pi\)
0.920565 + 0.390589i \(0.127729\pi\)
\(570\) −4.46621 + 0.642144i −0.187069 + 0.0268964i
\(571\) −19.4896 30.3264i −0.815615 1.26912i −0.960112 0.279617i \(-0.909793\pi\)
0.144497 0.989505i \(-0.453844\pi\)
\(572\) −12.1678 14.0424i −0.508761 0.587142i
\(573\) −6.47964 + 1.90259i −0.270691 + 0.0794820i
\(574\) −1.57250 1.57596i −0.0656348 0.0657793i
\(575\) −8.62198 + 6.33719i −0.359561 + 0.264279i
\(576\) 2.93108 0.122128
\(577\) 4.26372 + 14.5209i 0.177501 + 0.604513i 0.999392 + 0.0348678i \(0.0111010\pi\)
−0.821891 + 0.569645i \(0.807081\pi\)
\(578\) −15.9510 18.4085i −0.663475 0.765691i
\(579\) 0.303284 + 0.471919i 0.0126040 + 0.0196123i
\(580\) −3.78547 26.3285i −0.157183 1.09323i
\(581\) −38.5037 + 8.33161i −1.59740 + 0.345653i
\(582\) 4.02150 + 1.83656i 0.166697 + 0.0761278i
\(583\) −23.3937 + 26.9978i −0.968870 + 1.11814i
\(584\) −14.2859 2.05400i −0.591153 0.0849950i
\(585\) 33.5011 15.2994i 1.38510 0.632554i
\(586\) 29.0601 + 8.53280i 1.20046 + 0.352487i
\(587\) 5.44577 18.5466i 0.224771 0.765499i −0.767461 0.641096i \(-0.778480\pi\)
0.992232 0.124404i \(-0.0397017\pi\)
\(588\) −0.759736 1.67332i −0.0313310 0.0690067i
\(589\) 2.33162 + 0.335236i 0.0960727 + 0.0138132i
\(590\) 4.03504 + 3.49638i 0.166120 + 0.143944i
\(591\) 2.67463 + 1.22146i 0.110020 + 0.0502443i
\(592\) −3.13647 + 4.88045i −0.128908 + 0.200585i
\(593\) −18.7252 + 2.69227i −0.768951 + 0.110558i −0.515615 0.856820i \(-0.672437\pi\)
−0.253335 + 0.967379i \(0.581528\pi\)
\(594\) 5.20887 3.34754i 0.213722 0.137351i
\(595\) −45.6342 3.31428i −1.87082 0.135872i
\(596\) 0.570934 + 1.94442i 0.0233864 + 0.0796467i
\(597\) 3.45723i 0.141495i
\(598\) −10.9115 + 19.5731i −0.446205 + 0.800405i
\(599\) 10.3896 0.424508 0.212254 0.977215i \(-0.431920\pi\)
0.212254 + 0.977215i \(0.431920\pi\)
\(600\) 0.165027 + 0.562029i 0.00673718 + 0.0229447i
\(601\) 18.1294 15.7092i 0.739512 0.640791i −0.201374 0.979514i \(-0.564541\pi\)
0.940886 + 0.338724i \(0.109995\pi\)
\(602\) −4.97631 1.08826i −0.202819 0.0443544i
\(603\) 10.9279 1.57120i 0.445019 0.0639840i
\(604\) −0.671212 0.431362i −0.0273112 0.0175519i
\(605\) −5.37612 + 11.7721i −0.218570 + 0.478602i
\(606\) −1.01683 + 1.17348i −0.0413059 + 0.0476695i
\(607\) −22.9359 3.29768i −0.930939 0.133849i −0.339873 0.940471i \(-0.610384\pi\)
−0.591067 + 0.806623i \(0.701293\pi\)
\(608\) 2.65509 + 5.81383i 0.107678 + 0.235782i
\(609\) −3.28609 6.03379i −0.133159 0.244502i
\(610\) −18.1680 5.33462i −0.735602 0.215992i
\(611\) −1.99074 4.35912i −0.0805369 0.176351i
\(612\) 2.68260 18.6579i 0.108438 0.754202i
\(613\) 30.5382 + 26.4615i 1.23342 + 1.06877i 0.995231 + 0.0975511i \(0.0311009\pi\)
0.238194 + 0.971218i \(0.423445\pi\)
\(614\) −11.7885 5.38364i −0.475747 0.217266i
\(615\) 0.499743 + 0.321165i 0.0201516 + 0.0129506i
\(616\) −6.31417 + 8.41544i −0.254405 + 0.339068i
\(617\) 19.7876 + 30.7901i 0.796619 + 1.23956i 0.967149 + 0.254211i \(0.0818157\pi\)
−0.170530 + 0.985352i \(0.554548\pi\)
\(618\) −2.85888 + 2.47724i −0.115001 + 0.0996491i
\(619\) 17.8845 5.25137i 0.718839 0.211070i 0.0982004 0.995167i \(-0.468691\pi\)
0.620639 + 0.784096i \(0.286873\pi\)
\(620\) 0.991081i 0.0398028i
\(621\) −5.93863 4.52736i −0.238309 0.181677i
\(622\) 10.8939i 0.436806i
\(623\) 5.13906 9.38692i 0.205892 0.376079i
\(624\) 0.803324 + 0.927085i 0.0321587 + 0.0371131i
\(625\) −26.2284 + 16.8560i −1.04914 + 0.674238i
\(626\) 1.69494 + 11.7886i 0.0677434 + 0.471166i
\(627\) 5.61314 + 3.60735i 0.224167 + 0.144064i
\(628\) −2.37577 + 5.20221i −0.0948035 + 0.207591i
\(629\) 28.1962 + 24.4321i 1.12425 + 0.974172i
\(630\) −12.4787 16.7079i −0.497164 0.665659i
\(631\) 13.0282 5.94979i 0.518646 0.236858i −0.138853 0.990313i \(-0.544342\pi\)
0.657499 + 0.753455i \(0.271614\pi\)
\(632\) −0.312505 + 1.06429i −0.0124308 + 0.0423353i
\(633\) 0.0539303 0.183670i 0.00214354 0.00730022i
\(634\) −5.36492 11.7475i −0.213068 0.466554i
\(635\) −4.08793 + 28.4322i −0.162224 + 1.12830i
\(636\) 1.54447 1.78241i 0.0612421 0.0706771i
\(637\) −13.6530 + 29.7226i −0.540951 + 1.17765i
\(638\) −21.2655 + 33.0897i −0.841908 + 1.31003i
\(639\) 0.536867 + 3.73399i 0.0212381 + 0.147715i
\(640\) 2.26220 1.45383i 0.0894215 0.0574677i
\(641\) −8.94378 + 7.74983i −0.353258 + 0.306100i −0.813354 0.581770i \(-0.802361\pi\)
0.460096 + 0.887869i \(0.347815\pi\)
\(642\) −3.99442 + 1.17287i −0.157647 + 0.0462894i
\(643\) −3.78314 −0.149192 −0.0745962 0.997214i \(-0.523767\pi\)
−0.0745962 + 0.997214i \(0.523767\pi\)
\(644\) 12.1387 + 3.69471i 0.478334 + 0.145592i
\(645\) 1.35922 0.0535191
\(646\) 39.4382 11.5801i 1.55168 0.455613i
\(647\) −25.4972 + 22.0935i −1.00240 + 0.868584i −0.991335 0.131355i \(-0.958067\pi\)
−0.0110641 + 0.999939i \(0.503522\pi\)
\(648\) 7.05345 4.53297i 0.277086 0.178072i
\(649\) −1.12361 7.81490i −0.0441057 0.306762i
\(650\) 5.63645 8.77049i 0.221080 0.344007i
\(651\) −0.0891977 0.239954i −0.00349593 0.00940454i
\(652\) 6.48395 7.48288i 0.253931 0.293052i
\(653\) 0.0614526 0.427412i 0.00240483 0.0167259i −0.988584 0.150673i \(-0.951856\pi\)
0.990989 + 0.133947i \(0.0427651\pi\)
\(654\) −1.00237 2.19488i −0.0391958 0.0858268i
\(655\) 12.4812 42.5070i 0.487680 1.66088i
\(656\) 0.237067 0.807376i 0.00925591 0.0315227i
\(657\) −38.4807 + 17.5735i −1.50127 + 0.685609i
\(658\) −2.17401 + 1.62372i −0.0847519 + 0.0632991i
\(659\) 3.35202 + 2.90455i 0.130576 + 0.113145i 0.717701 0.696352i \(-0.245195\pi\)
−0.587124 + 0.809497i \(0.699740\pi\)
\(660\) 1.16619 2.55360i 0.0453939 0.0993988i
\(661\) 14.5303 + 9.33804i 0.565162 + 0.363208i 0.791808 0.610770i \(-0.209140\pi\)
−0.226646 + 0.973977i \(0.572776\pi\)
\(662\) −1.78817 12.4370i −0.0694991 0.483377i
\(663\) 6.63663 4.26511i 0.257745 0.165643i
\(664\) −9.75076 11.2530i −0.378403 0.436700i
\(665\) 21.8366 39.8864i 0.846787 1.54673i
\(666\) 17.0044i 0.658905i
\(667\) 46.2639 + 10.4896i 1.79135 + 0.406159i
\(668\) 0.764452i 0.0295775i
\(669\) −6.46392 + 1.89798i −0.249909 + 0.0733800i
\(670\) 7.65483 6.63294i 0.295732 0.256253i
\(671\) 15.1381 + 23.5554i 0.584401 + 0.909346i
\(672\) 0.416865 0.555591i 0.0160809 0.0214324i
\(673\) −30.3153 19.4825i −1.16857 0.750994i −0.195319 0.980740i \(-0.562574\pi\)
−0.973251 + 0.229746i \(0.926210\pi\)
\(674\) −4.97917 2.27391i −0.191791 0.0875878i
\(675\) 2.62560 + 2.27509i 0.101059 + 0.0875684i
\(676\) 1.25713 8.74352i 0.0483511 0.336289i
\(677\) −8.94886 19.5953i −0.343933 0.753108i 0.656066 0.754704i \(-0.272219\pi\)
−0.999999 + 0.00159582i \(0.999492\pi\)
\(678\) 2.34853 + 0.689591i 0.0901948 + 0.0264836i
\(679\) −39.1280 + 21.3096i −1.50159 + 0.817789i
\(680\) −7.18400 15.7308i −0.275494 0.603247i
\(681\) 1.70831 + 0.245618i 0.0654627 + 0.00941211i
\(682\) −0.959744 + 1.10760i −0.0367505 + 0.0424123i
\(683\) −11.1040 + 24.3143i −0.424882 + 0.930361i 0.569248 + 0.822166i \(0.307234\pi\)
−0.994130 + 0.108195i \(0.965493\pi\)
\(684\) 15.7598 + 10.1282i 0.602591 + 0.387262i
\(685\) 42.8309 6.15816i 1.63649 0.235291i
\(686\) 18.0839 + 3.99647i 0.690447 + 0.152586i
\(687\) −1.27982 + 1.10897i −0.0488280 + 0.0423097i
\(688\) −0.542425 1.84733i −0.0206798 0.0704288i
\(689\) −41.9768 −1.59919
\(690\) −3.37483 0.271122i −0.128478 0.0103214i
\(691\) 46.6825i 1.77588i 0.459955 + 0.887942i \(0.347866\pi\)
−0.459955 + 0.887942i \(0.652134\pi\)
\(692\) 6.03192 + 20.5428i 0.229299 + 0.780921i
\(693\) −2.23375 + 30.7564i −0.0848532 + 1.16834i
\(694\) 9.42183 6.05504i 0.357648 0.229846i
\(695\) −19.3824 + 2.78677i −0.735218 + 0.105708i
\(696\) 1.40396 2.18460i 0.0532169 0.0828071i
\(697\) −4.92242 2.24800i −0.186450 0.0851489i
\(698\) 20.5657 + 17.8203i 0.778424 + 0.674508i
\(699\) 4.44939 + 0.639725i 0.168291 + 0.0241966i
\(700\) −5.52870 2.06903i −0.208965 0.0782019i
\(701\) 3.28910 11.2016i 0.124228 0.423080i −0.873770 0.486340i \(-0.838332\pi\)
0.997997 + 0.0632600i \(0.0201498\pi\)
\(702\) 6.98099 + 2.04980i 0.263481 + 0.0773649i
\(703\) −33.7283 + 15.4032i −1.27209 + 0.580943i
\(704\) −3.93603 0.565916i −0.148345 0.0213288i
\(705\) 0.474140 0.547187i 0.0178572 0.0206083i
\(706\) −7.43195 3.39406i −0.279705 0.127737i
\(707\) −3.30946 15.2943i −0.124465 0.575203i
\(708\) 0.0741815 + 0.515944i 0.00278791 + 0.0193904i
\(709\) −11.9898 18.6566i −0.450288 0.700662i 0.539693 0.841862i \(-0.318540\pi\)
−0.989981 + 0.141200i \(0.954904\pi\)
\(710\) 2.26643 + 2.61561i 0.0850578 + 0.0981619i
\(711\) 0.915975 + 3.11952i 0.0343518 + 0.116991i
\(712\) 4.04482 0.151586
\(713\) 1.65061 + 0.632181i 0.0618160 + 0.0236754i
\(714\) −3.15512 3.16207i −0.118077 0.118337i
\(715\) −47.9413 + 14.0768i −1.79290 + 0.526444i
\(716\) 5.59480 + 6.45674i 0.209087 + 0.241300i
\(717\) 2.19259 + 3.41174i 0.0818838 + 0.127414i
\(718\) −20.6964 + 2.97570i −0.772384 + 0.111052i
\(719\) −14.9857 + 23.3182i −0.558872 + 0.869622i −0.999608 0.0280150i \(-0.991081\pi\)
0.440735 + 0.897637i \(0.354718\pi\)
\(720\) 3.27427 7.16965i 0.122025 0.267197i
\(721\) −2.67783 38.0288i −0.0997276 1.41627i
\(722\) −3.10959 + 21.6277i −0.115727 + 0.804898i
\(723\) 1.26377 0.577146i 0.0470002 0.0214643i
\(724\) −5.98948 1.75867i −0.222597 0.0653605i
\(725\) −21.1759 6.21781i −0.786454 0.230924i
\(726\) −1.14929 + 0.524862i −0.0426540 + 0.0194794i
\(727\) 4.55316 31.6679i 0.168867 1.17450i −0.712363 0.701811i \(-0.752375\pi\)
0.881230 0.472687i \(-0.156716\pi\)
\(728\) −12.3321 + 0.868373i −0.457057 + 0.0321840i
\(729\) 9.69957 21.2391i 0.359243 0.786633i
\(730\) −20.9828 + 32.6498i −0.776608 + 1.20843i
\(731\) −12.2557 + 1.76211i −0.453294 + 0.0651739i
\(732\) −0.999427 1.55514i −0.0369399 0.0574796i
\(733\) 18.4034 + 21.2386i 0.679744 + 0.784467i 0.985868 0.167525i \(-0.0535775\pi\)
−0.306124 + 0.951992i \(0.599032\pi\)
\(734\) −12.3533 + 3.62726i −0.455970 + 0.133885i
\(735\) −4.94177 0.0108724i −0.182280 0.000401036i
\(736\) 0.978317 + 4.69499i 0.0360612 + 0.173059i
\(737\) −14.9780 −0.551723
\(738\) −0.694862 2.36648i −0.0255782 0.0871114i
\(739\) 16.2261 + 18.7259i 0.596887 + 0.688844i 0.971147 0.238480i \(-0.0766490\pi\)
−0.374261 + 0.927323i \(0.622104\pi\)
\(740\) 8.43425 + 13.1240i 0.310049 + 0.482446i
\(741\) 1.11581 + 7.76059i 0.0409901 + 0.285093i
\(742\) 5.02676 + 23.2306i 0.184538 + 0.852824i
\(743\) −34.8329 15.9076i −1.27789 0.583595i −0.343271 0.939236i \(-0.611535\pi\)
−0.934622 + 0.355642i \(0.884262\pi\)
\(744\) 0.0633627 0.0731245i 0.00232299 0.00268087i
\(745\) 5.39400 + 0.775540i 0.197621 + 0.0284136i
\(746\) −14.5950 + 6.66530i −0.534360 + 0.244034i
\(747\) −41.8754 12.2957i −1.53214 0.449877i
\(748\) −7.20474 + 24.5371i −0.263431 + 0.897165i
\(749\) 14.7049 39.2933i 0.537305 1.43574i
\(750\) −1.93480 0.278182i −0.0706489 0.0101578i
\(751\) −5.46601 4.73633i −0.199458 0.172831i 0.549405 0.835556i \(-0.314854\pi\)
−0.748863 + 0.662725i \(0.769400\pi\)
\(752\) −0.932906 0.426044i −0.0340196 0.0155362i
\(753\) −1.34958 + 2.09999i −0.0491814 + 0.0765278i
\(754\) −45.7491 + 6.57772i −1.66608 + 0.239547i
\(755\) −1.80495 + 1.15997i −0.0656888 + 0.0422156i
\(756\) 0.298415 4.10886i 0.0108532 0.149438i
\(757\) −1.15903 3.94729i −0.0421256 0.143467i 0.935745 0.352677i \(-0.114729\pi\)
−0.977871 + 0.209211i \(0.932911\pi\)
\(758\) 33.1037i 1.20238i
\(759\) 3.50907 + 3.57112i 0.127371 + 0.129624i
\(760\) 17.1870 0.623440
\(761\) −1.67186 5.69384i −0.0606050 0.206402i 0.923624 0.383299i \(-0.125212\pi\)
−0.984229 + 0.176897i \(0.943394\pi\)
\(762\) −2.11937 + 1.83644i −0.0767767 + 0.0665274i
\(763\) 23.7558 + 5.19514i 0.860018 + 0.188077i
\(764\) 25.4616 3.66082i 0.921168 0.132444i
\(765\) −42.6421 27.4044i −1.54173 0.990808i
\(766\) 9.11839 19.9665i 0.329461 0.721418i
\(767\) 6.07540 7.01138i 0.219370 0.253166i
\(768\) 0.259859 + 0.0373621i 0.00937685 + 0.00134819i
\(769\) 3.40406 + 7.45384i 0.122753 + 0.268792i 0.961026 0.276460i \(-0.0891612\pi\)
−0.838272 + 0.545252i \(0.816434\pi\)
\(770\) 13.5313 + 24.8457i 0.487636 + 0.895378i
\(771\) 0.507074 + 0.148890i 0.0182618 + 0.00536215i
\(772\) −0.887650 1.94368i −0.0319472 0.0699546i
\(773\) 3.44528 23.9625i 0.123918 0.861870i −0.829131 0.559055i \(-0.811164\pi\)
0.953049 0.302816i