Properties

Label 322.2.k.a.97.5
Level $322$
Weight $2$
Character 322.97
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 97.5
Character \(\chi\) \(=\) 322.97
Dual form 322.2.k.a.83.5

$q$-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 \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

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

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 \(-0.248581\pi\)
−0.595702 + 0.803206i \(0.703126\pi\)
\(4\) 0.841254 + 0.540641i 0.420627 + 0.270320i
\(5\) 0.382697 2.66172i 0.171147 1.19036i −0.705318 0.708891i \(-0.749196\pi\)
0.876466 0.481465i \(-0.159895\pi\)
\(6\) −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 0.936861 + 0.349703i \(0.113717\pi\)
−0.599074 + 0.800694i \(0.704464\pi\)
\(12\) 0.0739636 + 0.251897i 0.0213514 + 0.0727163i
\(13\) −4.25037 1.94108i −1.17884 0.538358i −0.273015 0.962010i \(-0.588021\pi\)
−0.905825 + 0.423651i \(0.860748\pi\)
\(14\) −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 0.317666 0.948203i \(-0.397101\pi\)
0.994479 + 0.104939i \(0.0334647\pi\)
\(18\) −0.417136 + 2.90124i −0.0983199 + 0.683830i
\(19\) −5.37679 3.45545i −1.23352 0.792736i −0.249085 0.968482i \(-0.580130\pi\)
−0.984436 + 0.175746i \(0.943766\pi\)
\(20\) 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 0.558716 0.829359i \(-0.311294\pi\)
0.986510 0.163698i \(-0.0523424\pi\)
\(30\) −0.642172 + 0.293270i −0.117244 + 0.0535435i
\(31\) −0.278537 + 0.241353i −0.0500266 + 0.0433483i −0.679515 0.733661i \(-0.737810\pi\)
0.629489 + 0.777010i \(0.283264\pi\)
\(32\) −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 −0.597109 0.802160i \(-0.703684\pi\)
−0.346928 + 0.937892i \(0.612775\pi\)
\(38\) 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 \(-0.475476\pi\)
−0.207046 + 0.978331i \(0.566385\pi\)
\(42\) −0.146899 0.678880i −0.0226671 0.104754i
\(43\) 1.45506 + 1.26082i 0.221894 + 0.192273i 0.758713 0.651425i \(-0.225829\pi\)
−0.536818 + 0.843698i \(0.680374\pi\)
\(44\) −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
\(49\) 5.28015 + 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 −0.888156 0.459543i \(-0.848013\pi\)
−0.234319 + 0.972160i \(0.575286\pi\)
\(54\) −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 0.294367 0.955692i \(-0.404891\pi\)
−0.529495 + 0.848313i \(0.677619\pi\)
\(60\) 0.698783 0.100470i 0.0902125 0.0129706i
\(61\) 4.61116 + 5.32157i 0.590399 + 0.681357i 0.969807 0.243873i \(-0.0784179\pi\)
−0.379408 + 0.925229i \(0.623872\pi\)
\(62\) 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 −0.998573 0.0534106i \(-0.982991\pi\)
0.868929 + 0.494937i \(0.164809\pi\)
\(68\) 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 0.354187 0.935174i \(-0.384757\pi\)
−0.207632 + 0.978207i \(0.566576\pi\)
\(72\) −1.91945 + 2.21516i −0.226209 + 0.261059i
\(73\) −7.80294 + 12.1416i −0.913265 + 1.42107i −0.00624517 + 0.999980i \(0.501988\pi\)
−0.907020 + 0.421088i \(0.861648\pi\)
\(74\) 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 0.471365 0.881938i \(-0.343761\pi\)
−0.357846 + 0.933781i \(0.616489\pi\)
\(80\) 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 0.686806 + 0.726841i \(0.259012\pi\)
−0.454211 + 0.890894i \(0.650079\pi\)
\(84\) −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 −0.597794 0.801650i \(-0.703956\pi\)
0.878565 + 0.477622i \(0.158501\pi\)
\(90\) 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 0.391809 + 0.920046i \(0.371849\pi\)
−0.635145 + 0.772393i \(0.719060\pi\)
\(98\) −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 0.155248 0.987875i \(-0.450382\pi\)
0.427276 + 0.904121i \(0.359473\pi\)
\(102\) −1.53577 0.701362i −0.152064 0.0694452i
\(103\) 13.8255 4.05952i 1.36226 0.399997i 0.482703 0.875784i \(-0.339655\pi\)
0.879560 + 0.475787i \(0.157837\pi\)
\(104\) 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 −0.158694 + 0.987328i \(0.550728\pi\)
−0.999863 + 0.0165672i \(0.994726\pi\)
\(108\) 1.41638 0.646840i 0.136291 0.0622422i
\(109\) 4.96906 + 7.73200i 0.475949 + 0.740592i 0.993348 0.115153i \(-0.0367358\pi\)
−0.517398 + 0.855745i \(0.673099\pi\)
\(110\) −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 −0.738760 0.673969i \(-0.764588\pi\)
0.985859 0.167575i \(-0.0535935\pi\)
\(114\) 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 −0.702817 0.711370i \(-0.748075\pi\)
−0.206652 + 0.978415i \(0.566257\pi\)
\(128\) 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 \(-0.892081\pi\)
−0.366237 + 0.930521i \(0.619354\pi\)
\(132\) −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 \(-0.758755\pi\)
0.726285 0.687394i \(-0.241245\pi\)
\(138\) −0.278404 1.22789i −0.0236993 0.104525i
\(139\) 7.28193i 0.617646i −0.951120 0.308823i \(-0.900065\pi\)
0.951120 0.308823i \(-0.0999350\pi\)
\(140\) 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 0.932795 0.360407i \(-0.117362\pi\)
−0.979568 + 0.201114i \(0.935544\pi\)
\(150\) 0.165027 + 0.562029i 0.0134744 + 0.0458895i
\(151\) −0.331448 + 0.725769i −0.0269728 + 0.0590623i −0.922639 0.385665i \(-0.873972\pi\)
0.895666 + 0.444727i \(0.146699\pi\)
\(152\) 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 0.718360 0.695672i \(-0.244893\pi\)
−0.334388 + 0.942435i \(0.608530\pi\)
\(158\) −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 0.631746 0.775175i \(-0.282339\pi\)
0.112367 + 0.993667i \(0.464157\pi\)
\(164\) −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 \(-0.191234\pi\)
−0.856876 + 0.515522i \(0.827598\pi\)
\(168\) 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 0.786784 + 0.617229i \(0.211745\pi\)
−0.328185 + 0.944613i \(0.606437\pi\)
\(174\) −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 −0.892574 0.450901i \(-0.851103\pi\)
0.983452 0.181169i \(-0.0579883\pi\)
\(180\) −6.63069 4.26129i −0.494223 0.317618i
\(181\) 4.08786 4.71765i 0.303849 0.350660i −0.583206 0.812324i \(-0.698202\pi\)
0.887055 + 0.461664i \(0.152747\pi\)
\(182\) 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 0.694525 0.719468i \(-0.255614\pi\)
0.998555 0.0537356i \(-0.0171128\pi\)
\(192\) −0.198408 + 0.171921i −0.0143188 + 0.0124074i
\(193\) 0.304095 + 2.11503i 0.0218893 + 0.152243i 0.997835 0.0657718i \(-0.0209509\pi\)
−0.975945 + 0.218015i \(0.930042\pi\)
\(194\) 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 −0.999838 0.0179901i \(-0.994273\pi\)
0.668351 + 0.743846i \(0.267001\pi\)
\(198\) −11.5368 + 1.65874i −0.819886 + 0.117882i
\(199\) −8.62375 9.95234i −0.611321 0.705502i 0.362713 0.931901i \(-0.381850\pi\)
−0.974035 + 0.226398i \(0.927305\pi\)
\(200\) 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 0.519356 0.854558i \(-0.326172\pi\)
−0.561585 + 0.827419i \(0.689808\pi\)
\(212\) −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 −0.994097 0.108493i \(-0.965397\pi\)
−0.569001 + 0.822336i \(0.692670\pi\)
\(224\) 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 −0.594677 0.803965i \(-0.702720\pi\)
0.880413 + 0.474208i \(0.157265\pi\)
\(228\) 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 −0.992978 0.118296i \(-0.962257\pi\)
0.258408 + 0.966036i \(0.416802\pi\)
\(234\) 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 0.928531 + 0.371254i \(0.121072\pi\)
−0.786325 + 0.617813i \(0.788019\pi\)
\(240\) 0.642172 + 0.293270i 0.0414520 + 0.0189305i
\(241\) 5.07767 1.49094i 0.327081 0.0960398i −0.114069 0.993473i \(-0.536389\pi\)
0.441151 + 0.897433i \(0.354570\pi\)
\(242\) 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 −0.0191796 0.999816i \(-0.506105\pi\)
−0.556676 + 0.830729i \(0.687924\pi\)
\(252\) 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 \(-0.798184\pi\)
0.873538 + 0.486757i \(0.161820\pi\)
\(258\) 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 0.445939 0.895063i \(-0.352870\pi\)
−0.384416 + 0.923160i \(0.625597\pi\)
\(264\) 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 −0.454387 0.890804i \(-0.650142\pi\)
0.375665 + 0.926756i \(0.377414\pi\)
\(270\) 2.26375 + 3.52246i 0.137767 + 0.214370i
\(271\) 24.5322 + 3.52719i 1.49022 + 0.214262i 0.838794 0.544449i \(-0.183261\pi\)
0.651428 + 0.758710i \(0.274170\pi\)
\(272\) 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 −0.0860151 0.996294i \(-0.527413\pi\)
−0.363219 + 0.931704i \(0.618322\pi\)
\(282\) −0.226506 + 0.145567i −0.0134882 + 0.00866837i
\(283\) 3.06348 + 6.70808i 0.182105 + 0.398754i 0.978565 0.205937i \(-0.0660240\pi\)
−0.796460 + 0.604691i \(0.793297\pi\)
\(284\) 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 0.492212 0.870475i \(-0.336188\pi\)
0.996284 0.0861235i \(-0.0274479\pi\)
\(294\) 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 −0.887927 0.459985i \(-0.847855\pi\)
0.328938 + 0.944352i \(0.393309\pi\)
\(308\) −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 0.999597 + 0.0283999i \(0.00904120\pi\)
−0.825560 + 0.564314i \(0.809141\pi\)
\(312\) −0.509594 + 1.11585i −0.0288501 + 0.0631728i
\(313\) −1.69494 11.7886i −0.0958037 0.666329i −0.979968 0.199154i \(-0.936181\pi\)
0.884165 0.467176i \(-0.154728\pi\)
\(314\) −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 −0.870814 0.491612i \(-0.836408\pi\)
0.974043 0.226362i \(-0.0726831\pi\)
\(318\) 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 −0.978078 0.208238i \(-0.933227\pi\)
0.879791 0.475360i \(-0.157682\pi\)
\(332\) −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 −0.534868 0.844936i \(-0.679639\pi\)
0.760216 + 0.649670i \(0.225093\pi\)
\(338\) −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 −0.0197391 0.999805i \(-0.506284\pi\)
−0.557141 + 0.830418i \(0.688102\pi\)
\(348\) 1.96256 + 1.70057i 0.105204 + 0.0911600i
\(349\) 14.7121 22.8925i 0.787521 1.22541i −0.182696 0.983169i \(-0.558482\pi\)
0.970217 0.242237i \(-0.0778812\pi\)
\(350\) 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 −0.803516 0.595283i \(-0.797040\pi\)
0.474871 + 0.880055i \(0.342495\pi\)
\(354\) 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 0.427468 0.904030i \(-0.359406\pi\)
0.664847 + 0.746979i \(0.268497\pi\)
\(360\) 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 0.540615 0.841270i \(-0.318192\pi\)
0.281703 + 0.959502i \(0.409101\pi\)
\(374\) −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 −0.744650 0.667456i \(-0.767383\pi\)
0.265585 0.964087i \(-0.414435\pi\)
\(380\) −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 \(-0.0377671\pi\)
−0.258480 + 0.966017i \(0.583222\pi\)
\(384\) 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 −0.576361 0.817195i \(-0.695528\pi\)
0.926675 0.375864i \(-0.122654\pi\)
\(390\) 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 −0.983724 0.179685i \(-0.942492\pi\)
0.245207 0.969471i \(-0.421144\pi\)
\(398\) 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 −0.225971 0.974134i \(-0.572556\pi\)
−0.884181 + 0.467145i \(0.845283\pi\)
\(402\) 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 −0.295342 0.955392i \(-0.595434\pi\)
−0.552544 + 0.833484i \(0.686343\pi\)
\(410\) 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 \(-0.974308\pi\)
0.979084 + 0.203454i \(0.0652168\pi\)
\(420\) 1.82469 + 0.399041i 0.0890360 + 0.0194712i
\(421\) 8.16446 3.72859i 0.397912 0.181720i −0.206401 0.978467i \(-0.566175\pi\)
0.604313 + 0.796747i \(0.293448\pi\)
\(422\) 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 0.690235 0.723585i \(-0.257507\pi\)
−0.944930 + 0.327272i \(0.893871\pi\)
\(432\) 1.54124 + 0.221597i 0.0741531 + 0.0106616i
\(433\) 3.52095 + 2.26278i 0.169206 + 0.108742i 0.622503 0.782617i \(-0.286116\pi\)
−0.453297 + 0.891360i \(0.649752\pi\)
\(434\) 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 −0.916645 0.399702i \(-0.869114\pi\)
0.987226 + 0.159325i \(0.0509318\pi\)
\(440\) −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 −0.142024 0.989863i \(-0.545361\pi\)
0.841412 + 0.540394i \(0.181725\pi\)
\(444\) −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 −0.551248 0.834342i \(-0.685848\pi\)
−0.0126600 + 0.999920i \(0.504030\pi\)
\(450\) 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 0.677795 0.735251i \(-0.262935\pi\)
−0.631306 + 0.775534i \(0.717481\pi\)
\(458\) 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 \(0.871707\pi\)
\(462\) 2.42565 1.32104i 0.112851 0.0614605i
\(463\) −17.7141 + 20.4432i −0.823245 + 0.950075i −0.999412 0.0342849i \(-0.989085\pi\)
0.176167 + 0.984360i \(0.443630\pi\)
\(464\) 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 \(-0.238254\pi\)
−0.994141 + 0.108090i \(0.965527\pi\)
\(468\) −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 0.473351 0.880874i \(-0.343044\pi\)
−0.604634 + 0.796504i \(0.706681\pi\)
\(480\) −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 0.373539 0.927615i \(-0.378144\pi\)
−0.688614 + 0.725128i \(0.741781\pi\)
\(488\) 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 0.739026 0.673677i \(-0.235286\pi\)
−0.771994 + 0.635629i \(0.780741\pi\)
\(492\) −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 0.770512 0.637425i \(-0.220000\pi\)
−0.986312 + 0.164890i \(0.947273\pi\)
\(500\) 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 \(-0.690992\pi\)
0.897284 + 0.441454i \(0.145537\pi\)
\(504\) −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 0.960754 + 0.277401i \(0.0894730\pi\)
0.411307 + 0.911497i \(0.365072\pi\)
\(510\) −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 0.784538 0.620081i \(-0.212900\pi\)
−0.725421 + 0.688305i \(0.758355\pi\)
\(522\) 12.0441 + 26.3729i 0.527155 + 1.15431i
\(523\) −15.7277 + 10.1076i −0.687726 + 0.441975i −0.837277 0.546779i \(-0.815854\pi\)
0.149551 + 0.988754i \(0.452217\pi\)
\(524\) −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 −0.336330 0.941744i \(-0.609186\pi\)
0.226207 + 0.974079i \(0.427368\pi\)
\(542\) −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 −0.979885 0.199562i \(-0.936048\pi\)
0.996416 + 0.0845870i \(0.0269571\pi\)
\(548\) 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 −0.436290 0.899806i \(-0.643708\pi\)
−0.672122 + 0.740440i \(0.734617\pi\)
\(558\) −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 −0.915328 + 0.402709i \(0.868069\pi\)
−0.987744 + 0.156084i \(0.950113\pi\)
\(564\) 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 0.920565 0.390589i \(-0.127729\pi\)
−0.737709 + 0.675119i \(0.764092\pi\)
\(570\) 4.46621 + 0.642144i 0.187069 + 0.0268964i
\(571\) −19.4896 + 30.3264i −0.815615 + 1.26912i 0.144497 + 0.989505i \(0.453844\pi\)
−0.960112 + 0.279617i \(0.909793\pi\)
\(572\) 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 0.821891 + 0.569645i \(0.192919\pi\)
−0.999392 + 0.0348678i \(0.988899\pi\)
\(578\) −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 −0.992232 0.124404i \(-0.960298\pi\)
0.767461 0.641096i \(-0.221520\pi\)
\(588\) −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 0.515615 0.856820i \(-0.327563\pi\)
0.253335 + 0.967379i \(0.418472\pi\)
\(594\) −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 0.201374 0.979514i \(-0.435459\pi\)
−0.940886 + 0.338724i \(0.890005\pi\)
\(602\) −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 0.339873 0.940471i \(-0.389616\pi\)
0.591067 + 0.806623i \(0.298707\pi\)
\(608\) −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 0.238194 0.971218i \(-0.423445\pi\)
0.995231 0.0975511i \(-0.0311009\pi\)
\(614\) 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 −0.170530 0.985352i \(-0.554548\pi\)
0.967149 0.254211i \(-0.0818157\pi\)
\(618\) −2.85888 2.47724i −0.115001 0.0996491i
\(619\) −17.8845 5.25137i −0.718839 0.211070i −0.0982004 0.995167i \(-0.531309\pi\)
−0.620639 + 0.784096i \(0.713127\pi\)
\(620\) 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 0.657499 0.753455i \(-0.271614\pi\)
−0.138853 + 0.990313i \(0.544342\pi\)
\(632\) −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 0.460096 0.887869i \(-0.347815\pi\)
−0.813354 + 0.581770i \(0.802361\pi\)
\(642\) 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 0.991335 0.131355i \(-0.0419327\pi\)
0.0110641 + 0.999939i \(0.496478\pi\)
\(648\) 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 0.990989 0.133947i \(-0.0427651\pi\)
−0.988584 + 0.150673i \(0.951856\pi\)
\(654\) 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 −0.587124 0.809497i \(-0.699740\pi\)
0.717701 + 0.696352i \(0.245195\pi\)
\(660\) 1.16619 + 2.55360i 0.0453939 + 0.0993988i
\(661\) −14.5303 + 9.33804i −0.565162 + 0.363208i −0.791808 0.610770i \(-0.790860\pi\)
0.226646 + 0.973977i \(0.427224\pi\)
\(662\) −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 −0.973251 0.229746i \(-0.926210\pi\)
−0.195319 + 0.980740i \(0.562574\pi\)
\(674\) −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 \(-0.727781\pi\)
0.999999 + 0.00159582i \(0.000507965\pi\)
\(678\) −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 −0.994130 0.108195i \(-0.965493\pi\)
0.569248 0.822166i \(-0.307234\pi\)
\(684\) −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 \(0.347866\pi\)
−0.459955 + 0.887942i \(0.652134\pi\)
\(692\) −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 0.997997 0.0632600i \(-0.0201498\pi\)
−0.873770 + 0.486340i \(0.838332\pi\)
\(702\) 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 −0.989981 0.141200i \(-0.954904\pi\)
0.539693 + 0.841862i \(0.318540\pi\)
\(710\) −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 \(-0.00891862\pi\)
−0.440735 + 0.897637i \(0.645282\pi\)
\(720\) −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 −0.881230 0.472687i \(-0.843284\pi\)
0.712363 0.701811i \(-0.247625\pi\)
\(728\) −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 −0.985868 0.167525i \(-0.946422\pi\)
0.306124 + 0.951992i \(0.400968\pi\)
\(734\) 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 −0.374261 0.927323i \(-0.622104\pi\)
0.971147 + 0.238480i \(0.0766490\pi\)
\(740\) −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 −0.934622 0.355642i \(-0.884262\pi\)
−0.343271 + 0.939236i \(0.611535\pi\)
\(744\) 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 −0.748863 0.662725i \(-0.769400\pi\)
0.549405 + 0.835556i \(0.314854\pi\)
\(752\) 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 −0.977871 0.209211i \(-0.932911\pi\)
0.935745 + 0.352677i \(0.114729\pi\)
\(758\) 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 \(-0.874788\pi\)
0.984229 + 0.176897i \(0.0566061\pi\)
\(762\) 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 −0.961026 0.276460i \(-0.910839\pi\)
0.838272 + 0.545252i \(0.183566\pi\)
\(770\) −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 −0.953049 0.302816i \(-0.902073\pi\)