Properties

Label 322.2.k.a.83.5
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 83.5
Character \(\chi\) \(=\) 322.83
Dual form 322.2.k.a.97.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.959493 + 0.281733i) q^{2} +(0.198408 - 0.171921i) q^{3} +(0.841254 - 0.540641i) q^{4} +(0.382697 + 2.66172i) q^{5} +(-0.141935 + 0.220855i) q^{6} +(2.47792 - 0.927322i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(-0.417136 + 2.90124i) q^{9} +O(q^{10})\) \(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} +(2.47792 - 0.927322i) 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} +(-2.11629 + 1.58787i) 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} +(0.332212 - 0.609995i) 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} +(1.58321 - 2.11978i) 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} +(3.41656 + 6.24063i) 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} +(-0.146899 + 0.678880i) 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} +(5.28015 - 4.59565i) 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} +(-0.921868 + 2.47995i) 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} +(1.65676 + 7.57586i) 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} +(-0.762093 - 10.4932i) 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} +(-0.0503137 - 0.692767i) 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} +(-3.77152 + 5.89709i) 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 −0.595702 0.803206i \(-0.703126\pi\)
0.710253 + 0.703947i \(0.248581\pi\)
\(4\) 0.841254 0.540641i 0.420627 0.270320i
\(5\) 0.382697 + 2.66172i 0.171147 + 1.19036i 0.876466 + 0.481465i \(0.159895\pi\)
−0.705318 + 0.708891i \(0.749196\pi\)
\(6\) −0.141935 + 0.220855i −0.0579447 + 0.0901638i
\(7\) 2.47792 0.927322i 0.936565 0.350495i
\(8\) −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 −0.905825 0.423651i \(-0.860748\pi\)
−0.273015 + 0.962010i \(0.588021\pi\)
\(14\) −2.11629 + 1.58787i −0.565602 + 0.424376i
\(15\) 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 0.994479 0.104939i \(-0.0334647\pi\)
0.317666 + 0.948203i \(0.397101\pi\)
\(18\) −0.417136 2.90124i −0.0983199 0.683830i
\(19\) −5.37679 + 3.45545i −1.23352 + 0.792736i −0.984436 0.175746i \(-0.943766\pi\)
−0.249085 + 0.968482i \(0.580130\pi\)
\(20\) 1.76098 + 2.03228i 0.393766 + 0.454431i
\(21\) 0.332212 0.609995i 0.0724945 0.133112i
\(22\) 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
\(28\) 1.58321 2.11978i 0.299198 0.400600i
\(29\) 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 0.629489 0.777010i \(-0.283264\pi\)
−0.679515 + 0.733661i \(0.737810\pi\)
\(32\) −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
\(35\) 3.41656 + 6.24063i 0.577504 + 1.05486i
\(36\) 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 −0.207046 0.978331i \(-0.566385\pi\)
0.0769690 + 0.997033i \(0.475476\pi\)
\(42\) −0.146899 + 0.678880i −0.0226671 + 0.104754i
\(43\) 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 \(0.0238314\pi\)
−0.997199 + 0.0747986i \(0.976169\pi\)
\(48\) −0.0739636 0.251897i −0.0106757 0.0363582i
\(49\) 5.28015 4.59565i 0.754307 0.656522i
\(50\) 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
\(56\) −0.921868 + 2.47995i −0.123190 + 0.331397i
\(57\) −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 −0.529495 0.848313i \(-0.677619\pi\)
0.294367 + 0.955692i \(0.404891\pi\)
\(60\) 0.698783 + 0.100470i 0.0902125 + 0.0129706i
\(61\) 4.61116 5.32157i 0.590399 0.681357i −0.379408 0.925229i \(-0.623872\pi\)
0.969807 + 0.243873i \(0.0784179\pi\)
\(62\) 0.335251 + 0.153104i 0.0425769 + 0.0194442i
\(63\) 1.65676 + 7.57586i 0.208732 + 0.954469i
\(64\) −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 \(-0.861648\pi\)
−0.00624517 0.999980i \(-0.501988\pi\)
\(74\) 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
\(77\) −0.762093 10.4932i −0.0868485 1.19581i
\(78\) 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 \(-0.650079\pi\)
0.686806 0.726841i \(-0.259012\pi\)
\(84\) −0.0503137 0.692767i −0.00548968 0.0755871i
\(85\) −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 0.878565 0.477622i \(-0.158501\pi\)
−0.597794 + 0.801650i \(0.703956\pi\)
\(90\) 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 \(-0.719060\pi\)
0.391809 0.920046i \(-0.371849\pi\)
\(98\) −3.77152 + 5.89709i −0.380981 + 0.595696i
\(99\) 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 0.427276 0.904121i \(-0.359473\pi\)
0.155248 + 0.987875i \(0.450382\pi\)
\(102\) −1.53577 + 0.701362i −0.152064 + 0.0694452i
\(103\) 13.8255 + 4.05952i 1.36226 + 0.399997i 0.879560 0.475787i \(-0.157837\pi\)
0.482703 + 0.875784i \(0.339655\pi\)
\(104\) 1.31643 4.48335i 0.129087 0.439629i
\(105\) 1.75077 + 0.650810i 0.170858 + 0.0635125i
\(106\) 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
\(112\) 0.185843 2.63922i 0.0175605 0.249382i
\(113\) 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
\(119\) 16.6300 + 3.59848i 1.52447 + 0.329872i
\(120\) −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
\(126\) −3.72401 6.80222i −0.331762 0.605990i
\(127\) −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 −0.366237 0.930521i \(-0.619354\pi\)
−0.943076 + 0.332578i \(0.892081\pi\)
\(132\) −0.878233 0.564406i −0.0764403 0.0491252i
\(133\) −10.1189 + 13.5483i −0.877422 + 1.17479i
\(134\) 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 \(0.0999350\pi\)
−0.951120 + 0.308823i \(0.900065\pi\)
\(140\) 6.24813 + 3.40282i 0.528063 + 0.287591i
\(141\) 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
\(147\) 0.257532 1.81958i 0.0212409 0.150077i
\(148\) −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
\(154\) 3.68750 + 9.85346i 0.297147 + 0.794014i
\(155\) 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 −0.334388 0.942435i \(-0.608530\pi\)
0.718360 + 0.695672i \(0.244893\pi\)
\(158\) −0.838296 + 0.726387i −0.0666912 + 0.0577883i
\(159\) −2.26293 + 0.664457i −0.179462 + 0.0526948i
\(160\) −2.68909 −0.212591
\(161\) 9.65279 8.23551i 0.760746 0.649049i
\(162\) 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 −0.856876 0.515522i \(-0.827598\pi\)
0.824895 + 0.565286i \(0.191234\pi\)
\(168\) 0.243451 + 0.650530i 0.0187826 + 0.0501895i
\(169\) 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 \(-0.606437\pi\)
0.786784 0.617229i \(-0.211745\pi\)
\(174\) −2.36217 + 1.07877i −0.179076 + 0.0817810i
\(175\) −4.72183 + 3.54283i −0.356937 + 0.267813i
\(176\) −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 0.887055 0.461664i \(-0.152747\pi\)
−0.583206 + 0.812324i \(0.698202\pi\)
\(182\) 5.91283 10.8569i 0.438288 0.804768i
\(183\) 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
\(189\) 3.30069 + 2.46520i 0.240090 + 0.179317i
\(190\) 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
\(196\) 1.95735 6.72077i 0.139810 0.480055i
\(197\) −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 −0.974035 0.226398i \(-0.927305\pi\)
0.362713 + 0.931901i \(0.381850\pi\)
\(200\) 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
\(203\) 25.5786 + 5.53482i 1.79527 + 0.388468i
\(204\) 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
\(210\) −1.86320 0.131199i −0.128573 0.00905360i
\(211\) −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
\(217\) −0.914003 0.339761i −0.0620465 0.0230644i
\(218\) −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 −0.569001 0.822336i \(-0.692670\pi\)
−0.994097 + 0.108493i \(0.965397\pi\)
\(224\) 0.565239 + 2.58467i 0.0377666 + 0.172695i
\(225\) −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 0.880413 0.474208i \(-0.157265\pi\)
−0.594677 + 0.803965i \(0.702720\pi\)
\(228\) 0.472731 + 1.60997i 0.0313074 + 0.106623i
\(229\) −6.45043 −0.426256 −0.213128 0.977024i \(-0.568365\pi\)
−0.213128 + 0.977024i \(0.568365\pi\)
\(230\) −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
\(238\) −16.9702 + 1.23249i −1.10001 + 0.0798908i
\(239\) 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 0.441151 0.897433i \(-0.354570\pi\)
−0.114069 + 0.993473i \(0.536389\pi\)
\(242\) 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
\(245\) 14.2530 + 12.2955i 0.910592 + 0.785531i
\(246\) 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 −0.556676 0.830729i \(-0.687924\pi\)
−0.0191796 + 0.999816i \(0.506105\pi\)
\(252\) 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 0.873538 0.486757i \(-0.161820\pi\)
−0.805650 + 0.592392i \(0.798184\pi\)
\(258\) 0.0719339 + 0.500311i 0.00447841 + 0.0311480i
\(259\) −14.9947 + 3.27918i −0.931725 + 0.203758i
\(260\) −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
\(266\) 5.89203 15.8504i 0.361264 0.971849i
\(267\) 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 0.375665 0.926756i \(-0.377414\pi\)
−0.454387 + 0.890804i \(0.650142\pi\)
\(270\) 2.26375 3.52246i 0.137767 0.214370i
\(271\) 24.5322 3.52719i 1.49022 0.214262i 0.651428 0.758710i \(-0.274170\pi\)
0.838794 + 0.544449i \(0.183261\pi\)
\(272\) 5.41011 3.47687i 0.328036 0.210816i
\(273\) −0.227975 + 3.23755i −0.0137977 + 0.195946i
\(274\) −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
\(280\) −6.95372 1.50468i −0.415564 0.0899218i
\(281\) −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 −0.796460 0.604691i \(-0.793297\pi\)
0.978565 + 0.205937i \(0.0660240\pi\)
\(284\) 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
\(287\) −1.95280 + 1.06910i −0.115270 + 0.0631069i
\(288\) −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 \(0.0274479\pi\)
0.492212 + 0.870475i \(0.336188\pi\)
\(294\) 0.265536 + 1.81843i 0.0154864 + 0.106053i
\(295\) −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
\(301\) 2.43633 4.47351i 0.140428 0.257849i
\(302\) 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 0.328938 0.944352i \(-0.393309\pi\)
−0.887927 + 0.459985i \(0.847855\pi\)
\(308\) −6.31417 8.41544i −0.359783 0.479514i
\(309\) 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 \(-0.809141\pi\)
0.999597 0.0283999i \(-0.00904120\pi\)
\(312\) −0.509594 1.11585i −0.0288501 0.0631728i
\(313\) −1.69494 + 11.7886i −0.0958037 + 0.666329i 0.884165 + 0.467176i \(0.154728\pi\)
−0.979968 + 0.199154i \(0.936181\pi\)
\(314\) −3.74517 + 4.32215i −0.211352 + 0.243913i
\(315\) −19.5307 + 7.30908i −1.10043 + 0.411820i
\(316\) 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
\(322\) −6.94157 + 10.6214i −0.386839 + 0.591909i
\(323\) −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
\(329\) 0.951049 + 2.54132i 0.0524330 + 0.140107i
\(330\) −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
\(336\) −0.416865 0.555591i −0.0227418 0.0303100i
\(337\) 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
\(343\) 8.82212 16.2840i 0.476350 0.879256i
\(344\) 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 \(0.0778812\pi\)
−0.182696 + 0.983169i \(0.558482\pi\)
\(350\) 3.53243 4.72962i 0.188817 0.252809i
\(351\) −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 0.474871 0.880055i \(-0.342495\pi\)
−0.803516 + 0.595283i \(0.797040\pi\)
\(354\) 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
\(357\) 3.91817 2.14508i 0.207372 0.113530i
\(358\) −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
\(364\) −2.61457 + 12.0830i −0.137041 + 0.633319i
\(365\) 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 \(-0.609085\pi\)
−0.336031 + 0.941851i \(0.609085\pi\)
\(368\) 0.384043 4.78043i 0.0200196 0.249197i
\(369\) 2.46639i 0.128395i
\(370\) 4.39516 + 14.9685i 0.228494 + 0.778177i
\(371\) −23.7096 1.66953i −1.23094 0.0866776i
\(372\) −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
\(378\) −3.86151 1.43543i −0.198615 0.0738307i
\(379\) −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 −0.258480 0.966017i \(-0.583222\pi\)
0.992969 + 0.118371i \(0.0377671\pi\)
\(384\) 0.238807 + 0.109059i 0.0121866 + 0.00556541i
\(385\) 27.6383 6.04420i 1.40858 0.308041i
\(386\) 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 \(0.421144\pi\)
−0.983724 + 0.179685i \(0.942492\pi\)
\(398\) 5.47053 11.9788i 0.274213 0.600442i
\(399\) 0.321576 + 4.42776i 0.0160989 + 0.221665i
\(400\) −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
\(406\) −26.1018 + 1.89570i −1.29541 + 0.0940821i
\(407\) −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 −0.552544 0.833484i \(-0.686343\pi\)
−0.295342 + 0.955392i \(0.595434\pi\)
\(410\) 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 0.979084 0.203454i \(-0.0652168\pi\)
−0.996744 + 0.0806271i \(0.974308\pi\)
\(420\) 1.82469 0.399041i 0.0890360 0.0194712i
\(421\) 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
\(427\) 6.49128 17.4624i 0.314135 0.845066i
\(428\) −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 −0.453297 0.891360i \(-0.649752\pi\)
0.622503 + 0.782617i \(0.286116\pi\)
\(434\) 0.972701 + 0.0684935i 0.0466911 + 0.00328779i
\(435\) 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 0.987226 0.159325i \(-0.0509318\pi\)
−0.916645 + 0.399702i \(0.869114\pi\)
\(440\) −8.08136 + 7.00254i −0.385264 + 0.333833i
\(441\) 11.1306 + 17.2360i 0.530027 + 0.820762i
\(442\) 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
\(448\) −1.27053 2.32072i −0.0600268 0.109644i
\(449\) −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
\(455\) −26.6352 19.8932i −1.24868 0.932606i
\(456\) −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 \(-0.871707\pi\)
0.919871 0.392221i \(-0.128293\pi\)
\(462\) 2.42565 + 1.32104i 0.112851 + 0.0614605i
\(463\) −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 −0.994141 0.108090i \(-0.965527\pi\)
0.732713 + 0.680538i \(0.238254\pi\)
\(468\) −10.3506 8.96886i −0.478457 0.414586i
\(469\) −5.98091 7.97127i −0.276173 0.368079i
\(470\) 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
\(476\) 15.9355 5.96361i 0.730403 0.273342i
\(477\) 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 −0.604634 0.796504i \(-0.706681\pi\)
0.473351 + 0.880874i \(0.343044\pi\)
\(480\) −0.533536 + 0.462311i −0.0243525 + 0.0211015i
\(481\) 26.0097 7.63714i 1.18594 0.348224i
\(482\) −5.29203 −0.241046
\(483\) 0.499329 3.29351i 0.0227202 0.149860i
\(484\) −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
\(490\) −17.1397 7.78192i −0.774294 0.351551i
\(491\) −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
\(497\) 2.72373 2.04364i 0.122176 0.0916697i
\(498\) 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 0.897284 0.441454i \(-0.145537\pi\)
−0.564657 + 0.825326i \(0.690992\pi\)
\(504\) −6.81040 3.70904i −0.303359 0.165214i
\(505\) 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 \(-0.365072\pi\)
0.960754 0.277401i \(-0.0894730\pi\)
\(510\) −2.45456 3.81937i −0.108690 0.169124i
\(511\) −30.5942 22.8501i −1.35341 1.01083i
\(512\) 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
\(518\) 13.4635 7.37084i 0.591550 0.323856i
\(519\) −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 −0.725421 0.688305i \(-0.758355\pi\)
0.784538 + 0.620081i \(0.212900\pi\)
\(522\) 12.0441 26.3729i 0.527155 1.15431i
\(523\) −15.7277 10.1076i −0.687726 0.441975i 0.149551 0.988754i \(-0.452217\pi\)
−0.837277 + 0.546779i \(0.815854\pi\)
\(524\) −16.3069 + 2.34457i −0.712368 + 0.102423i
\(525\) −0.327760 + 1.51471i −0.0143046 + 0.0661073i
\(526\) −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
\(532\) −1.18780 + 16.8683i −0.0514975 + 0.731334i
\(533\) 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
\(539\) −11.6190 25.2946i −0.500465 1.08952i
\(540\) −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
\(546\) −0.693383 3.17064i −0.0296741 0.135691i
\(547\) 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
\(560\) 7.09596 0.515360i 0.299859 0.0217779i
\(561\) 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 \(-0.950113\pi\)
−0.915328 0.402709i \(-0.868069\pi\)
\(564\) 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
\(567\) −22.1249 + 1.60687i −0.929158 + 0.0674821i
\(568\) −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 \(-0.988899\pi\)
0.821891 0.569645i \(-0.192919\pi\)
\(578\) −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
\(581\) −8.41630 38.4852i −0.349167 1.59664i
\(582\) 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 \(0.221520\pi\)
−0.992232 + 0.124404i \(0.960298\pi\)
\(588\) −0.767091 1.66996i −0.0316343 0.0688681i
\(589\) 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 0.253335 0.967379i \(-0.418472\pi\)
0.515615 + 0.856820i \(0.327563\pi\)
\(594\) −5.20887 + 3.34754i −0.213722 + 0.137351i
\(595\) −3.21388 + 45.6414i −0.131756 + 1.87111i
\(596\) 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 −0.940886 0.338724i \(-0.890005\pi\)
0.201374 + 0.979514i \(0.435459\pi\)
\(602\) −1.07731 + 4.97869i −0.0439080 + 0.202916i
\(603\) 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 0.591067 0.806623i \(-0.298707\pi\)
0.339873 + 0.940471i \(0.389616\pi\)
\(608\) −2.65509 5.81383i −0.107678 0.235782i
\(609\) 6.02655 3.29936i 0.244208 0.133697i
\(610\) −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
\(616\) 8.42931 + 6.29564i 0.339627 + 0.253659i
\(617\) 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 −0.620639 0.784096i \(-0.713127\pi\)
−0.0982004 + 0.995167i \(0.531309\pi\)
\(620\) 0.991081i 0.0398028i
\(621\) 5.93863 + 4.52736i 0.238309 + 0.181677i
\(622\) 10.8939i 0.436806i
\(623\) 9.39820 + 5.11839i 0.376531 + 0.205064i
\(624\) 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
\(630\) 16.6804 12.5155i 0.664564 0.498628i
\(631\) 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
\(637\) −13.5221 + 29.7824i −0.535764 + 1.18002i
\(638\) −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 \(-0.476233\pi\)
0.0745962 + 0.997214i \(0.476233\pi\)
\(644\) 3.66799 12.1468i 0.144539 0.478653i
\(645\) 1.35922 0.0535191
\(646\) 39.4382 11.5801i 1.55168 0.455613i
\(647\) 25.4972 22.0935i 1.00240 0.868584i 0.0110641 0.999939i \(-0.496478\pi\)
0.991335 + 0.131355i \(0.0419327\pi\)
\(648\) 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
\(651\) −0.239757 + 0.0897254i −0.00939683 + 0.00351662i
\(652\) 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
\(658\) −1.62850 2.17044i −0.0634854 0.0846124i
\(659\) 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 0.226646 0.973977i \(-0.427224\pi\)
−0.791808 + 0.610770i \(0.790860\pi\)
\(662\) −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
\(665\) −39.9343 21.7488i −1.54859 0.843382i
\(666\) 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
\(672\) 0.556507 + 0.415642i 0.0214677 + 0.0160337i
\(673\) −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 0.999999 0.00159582i \(-0.000507965\pi\)
−0.656066 + 0.754704i \(0.727781\pi\)
\(678\) −2.34853 0.689591i −0.0901948 0.0264836i
\(679\) −21.3957 39.0810i −0.821091 1.49979i
\(680\) −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
\(686\) −3.87702 + 18.1099i −0.148025 + 0.691439i
\(687\) −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 \(-0.652134\pi\)
0.459955 0.887942i \(-0.347866\pi\)
\(692\) −6.03192 20.5428i −0.229299 0.780921i
\(693\) 30.7613 + 2.16608i 1.16852 + 0.0822826i
\(694\) 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
\(700\) −2.05686 + 5.53324i −0.0777420 + 0.209137i
\(701\) 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
\(707\) 15.2870 3.34311i 0.574928 0.125730i
\(708\) 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 −0.440735 0.897637i \(-0.645282\pi\)
0.999608 + 0.0280150i \(0.00891862\pi\)
\(720\) −3.27427 + 7.16965i −0.122025 + 0.267197i
\(721\) 38.0228 2.76149i 1.41604 0.102843i
\(722\) −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 \(0.247625\pi\)
−0.881230 + 0.472687i \(0.843284\pi\)
\(728\) −0.895503 12.3301i −0.0331895 0.456985i
\(729\) 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 0.306124 0.951992i \(-0.400968\pi\)
−0.985868 + 0.167525i \(0.946422\pi\)
\(734\) 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
\(742\) 23.2195 5.07786i 0.852416 0.186414i
\(743\) −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
\(749\) −39.3255 14.6184i −1.43692 0.534145i
\(750\) −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
\(756\) 4.10950 + 0.289374i 0.149461 + 0.0105244i
\(757\) −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 0.984229 0.176897i \(-0.0566061\pi\)
−0.923624 + 0.383299i \(0.874788\pi\)
\(762\) 2.11937 1.83644i 0.0767767 0.0665274i
\(763\) 5.14286 23.7672i 0.186184 0.860430i
\(764\) 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 0.838272 0.545252i \(-0.183566\pi\)
−0.961026 + 0.276460i \(0.910839\pi\)
\(770\) −24.8159 + 13.5860i −0.894303 + 0.489605i
\(771\) 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 \(0.188836\pi\)