Properties

Label 637.2.bl.b.53.18
Level $637$
Weight $2$
Character 637.53
Analytic conductor $5.086$
Analytic rank $0$
Dimension $348$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(348\)
Relative dimension: \(29\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 53.18
Character \(\chi\) \(=\) 637.53
Dual form 637.2.bl.b.625.18

$q$-expansion

\(f(q)\) \(=\) \(q+(0.445939 + 0.304036i) q^{2} +(0.759470 + 0.704685i) q^{3} +(-0.624259 - 1.59058i) q^{4} +(-1.39712 + 0.430954i) q^{5} +(0.124428 + 0.545153i) q^{6} +(-2.52342 - 0.795220i) q^{7} +(0.445412 - 1.95148i) q^{8} +(-0.143977 - 1.92124i) q^{9} +O(q^{10})\) \(q+(0.445939 + 0.304036i) q^{2} +(0.759470 + 0.704685i) q^{3} +(-0.624259 - 1.59058i) q^{4} +(-1.39712 + 0.430954i) q^{5} +(0.124428 + 0.545153i) q^{6} +(-2.52342 - 0.795220i) q^{7} +(0.445412 - 1.95148i) q^{8} +(-0.143977 - 1.92124i) q^{9} +(-0.754055 - 0.232595i) q^{10} +(-0.221253 + 2.95241i) q^{11} +(0.646756 - 1.64791i) q^{12} +(-0.900969 + 0.433884i) q^{13} +(-0.883513 - 1.12183i) q^{14} +(-1.36476 - 0.657233i) q^{15} +(-1.71319 + 1.58960i) q^{16} +(-1.60960 + 0.242608i) q^{17} +(0.519920 - 0.900528i) q^{18} +(-3.14438 - 5.44623i) q^{19} +(1.55763 + 1.95321i) q^{20} +(-1.35608 - 2.38216i) q^{21} +(-0.996305 + 1.24933i) q^{22} +(-4.90272 - 0.738966i) q^{23} +(1.71346 - 1.16821i) q^{24} +(-2.36497 + 1.61241i) q^{25} +(-0.533693 - 0.0804413i) q^{26} +(3.18240 - 3.99060i) q^{27} +(0.310399 + 4.51013i) q^{28} +(-2.76636 - 3.46890i) q^{29} +(-0.408776 - 0.708021i) q^{30} +(1.69569 - 2.93702i) q^{31} +(-5.20589 + 0.784662i) q^{32} +(-2.24856 + 2.08636i) q^{33} +(-0.791544 - 0.381187i) q^{34} +(3.86822 + 0.0235405i) q^{35} +(-2.96601 + 1.42836i) q^{36} +(3.65447 - 9.31143i) q^{37} +(0.253647 - 3.38469i) q^{38} +(-0.990011 - 0.305378i) q^{39} +(0.218704 + 2.91840i) q^{40} +(-1.53474 + 6.72415i) q^{41} +(0.119534 - 1.47459i) q^{42} +(-1.07998 - 4.73170i) q^{43} +(4.83418 - 1.49115i) q^{44} +(1.02912 + 2.62215i) q^{45} +(-1.96164 - 1.82013i) q^{46} +(7.45360 + 5.08178i) q^{47} -2.42129 q^{48} +(5.73525 + 4.01334i) q^{49} -1.54486 q^{50} +(-1.39340 - 0.950007i) q^{51} +(1.25257 + 1.16221i) q^{52} +(-1.40641 - 3.58348i) q^{53} +(2.63244 - 0.812001i) q^{54} +(-0.963239 - 4.22022i) q^{55} +(-2.67582 + 4.57019i) q^{56} +(1.44981 - 6.35205i) q^{57} +(-0.178955 - 2.38799i) q^{58} +(14.4429 + 4.45505i) q^{59} +(-0.193423 + 2.58105i) q^{60} +(-0.255188 + 0.650210i) q^{61} +(1.64913 - 0.794180i) q^{62} +(-1.16449 + 4.96257i) q^{63} +(1.65116 + 0.795159i) q^{64} +(1.07178 - 0.994464i) q^{65} +(-1.63705 + 0.246745i) q^{66} +(-6.37686 + 11.0450i) q^{67} +(1.39069 + 2.40875i) q^{68} +(-3.20273 - 4.01609i) q^{69} +(1.71783 + 1.18657i) q^{70} +(-6.47848 + 8.12376i) q^{71} +(-3.81338 - 0.574775i) q^{72} +(6.50680 - 4.43626i) q^{73} +(4.46068 - 3.04124i) q^{74} +(-2.93237 - 0.441983i) q^{75} +(-6.69978 + 8.40126i) q^{76} +(2.90613 - 7.27422i) q^{77} +(-0.348638 - 0.437179i) q^{78} +(-2.81233 - 4.87109i) q^{79} +(1.70848 - 2.95917i) q^{80} +(-0.486256 + 0.0732913i) q^{81} +(-2.72879 + 2.53194i) q^{82} +(10.7997 + 5.20086i) q^{83} +(-2.94248 + 3.64404i) q^{84} +(2.14425 - 1.03262i) q^{85} +(0.957002 - 2.43840i) q^{86} +(0.343519 - 4.58394i) q^{87} +(5.66302 + 1.74681i) q^{88} +(-0.788139 - 10.5170i) q^{89} +(-0.338304 + 1.48221i) q^{90} +(2.61855 - 0.378401i) q^{91} +(1.88517 + 8.25949i) q^{92} +(3.35750 - 1.03565i) q^{93} +(1.77880 + 4.53232i) q^{94} +(6.74016 + 6.25395i) q^{95} +(-4.50666 - 3.07259i) q^{96} -14.6532 q^{97} +(1.33737 + 3.53343i) q^{98} +5.70414 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} + O(q^{10}) \) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} - 5q^{10} + 2q^{11} - 40q^{12} - 58q^{13} - 45q^{14} - 14q^{15} + 27q^{16} - 12q^{17} - 59q^{18} - 24q^{19} - 99q^{20} - 2q^{21} - 10q^{22} - 14q^{23} + 28q^{25} + 3q^{26} - 9q^{27} - 37q^{28} - 26q^{29} - 83q^{30} - 49q^{31} + 33q^{32} + 2q^{33} - 130q^{34} - 38q^{35} - 74q^{36} - 4q^{37} + 92q^{38} + 24q^{40} + 20q^{41} - 52q^{42} + 2q^{43} + 226q^{44} - 23q^{45} + 71q^{46} + 24q^{47} + 86q^{48} + 25q^{49} + 114q^{50} - 54q^{51} + 31q^{52} + 36q^{53} + 75q^{54} + 38q^{55} + 126q^{56} + 27q^{57} - 33q^{58} + q^{59} - 179q^{60} - 15q^{61} + 158q^{62} - 5q^{63} - 24q^{64} + q^{65} - 150q^{66} - 151q^{67} + 140q^{68} - 98q^{69} - 126q^{70} - 31q^{71} - 149q^{72} - 9q^{73} + 39q^{74} + 85q^{75} - 81q^{76} + 46q^{77} - 25q^{78} - 69q^{79} - 64q^{80} + 71q^{81} - 52q^{82} - q^{83} - 47q^{84} + 62q^{85} + 97q^{86} + 150q^{87} - 12q^{88} + 23q^{89} + 107q^{90} - q^{91} - 43q^{92} + 316q^{93} - 86q^{94} - 29q^{95} + 177q^{96} + 114q^{97} - 336q^{98} + 102q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.445939 + 0.304036i 0.315326 + 0.214986i 0.710632 0.703564i \(-0.248409\pi\)
−0.395306 + 0.918550i \(0.629361\pi\)
\(3\) 0.759470 + 0.704685i 0.438480 + 0.406850i 0.868280 0.496074i \(-0.165225\pi\)
−0.429800 + 0.902924i \(0.641416\pi\)
\(4\) −0.624259 1.59058i −0.312129 0.795292i
\(5\) −1.39712 + 0.430954i −0.624811 + 0.192729i −0.590963 0.806698i \(-0.701252\pi\)
−0.0338475 + 0.999427i \(0.510776\pi\)
\(6\) 0.124428 + 0.545153i 0.0507973 + 0.222558i
\(7\) −2.52342 0.795220i −0.953761 0.300565i
\(8\) 0.445412 1.95148i 0.157477 0.689952i
\(9\) −0.143977 1.92124i −0.0479922 0.640412i
\(10\) −0.754055 0.232595i −0.238453 0.0735531i
\(11\) −0.221253 + 2.95241i −0.0667102 + 0.890186i 0.859006 + 0.511966i \(0.171083\pi\)
−0.925716 + 0.378220i \(0.876536\pi\)
\(12\) 0.646756 1.64791i 0.186702 0.475710i
\(13\) −0.900969 + 0.433884i −0.249884 + 0.120338i
\(14\) −0.883513 1.12183i −0.236129 0.299821i
\(15\) −1.36476 0.657233i −0.352379 0.169697i
\(16\) −1.71319 + 1.58960i −0.428297 + 0.397401i
\(17\) −1.60960 + 0.242608i −0.390385 + 0.0588411i −0.341302 0.939954i \(-0.610868\pi\)
−0.0490828 + 0.998795i \(0.515630\pi\)
\(18\) 0.519920 0.900528i 0.122546 0.212256i
\(19\) −3.14438 5.44623i −0.721371 1.24945i −0.960450 0.278451i \(-0.910179\pi\)
0.239080 0.971000i \(-0.423154\pi\)
\(20\) 1.55763 + 1.95321i 0.348297 + 0.436751i
\(21\) −1.35608 2.38216i −0.295921 0.519830i
\(22\) −0.996305 + 1.24933i −0.212413 + 0.266357i
\(23\) −4.90272 0.738966i −1.02229 0.154085i −0.383558 0.923517i \(-0.625301\pi\)
−0.638729 + 0.769432i \(0.720539\pi\)
\(24\) 1.71346 1.16821i 0.349758 0.238461i
\(25\) −2.36497 + 1.61241i −0.472994 + 0.322482i
\(26\) −0.533693 0.0804413i −0.104666 0.0157758i
\(27\) 3.18240 3.99060i 0.612453 0.767992i
\(28\) 0.310399 + 4.51013i 0.0586599 + 0.852334i
\(29\) −2.76636 3.46890i −0.513700 0.644159i 0.455558 0.890206i \(-0.349440\pi\)
−0.969258 + 0.246047i \(0.920868\pi\)
\(30\) −0.408776 0.708021i −0.0746320 0.129266i
\(31\) 1.69569 2.93702i 0.304555 0.527504i −0.672607 0.740000i \(-0.734826\pi\)
0.977162 + 0.212495i \(0.0681590\pi\)
\(32\) −5.20589 + 0.784662i −0.920280 + 0.138710i
\(33\) −2.24856 + 2.08636i −0.391424 + 0.363188i
\(34\) −0.791544 0.381187i −0.135749 0.0653731i
\(35\) 3.86822 + 0.0235405i 0.653848 + 0.00397907i
\(36\) −2.96601 + 1.42836i −0.494335 + 0.238059i
\(37\) 3.65447 9.31143i 0.600791 1.53079i −0.229413 0.973329i \(-0.573681\pi\)
0.830204 0.557460i \(-0.188224\pi\)
\(38\) 0.253647 3.38469i 0.0411471 0.549069i
\(39\) −0.990011 0.305378i −0.158529 0.0488996i
\(40\) 0.218704 + 2.91840i 0.0345801 + 0.461440i
\(41\) −1.53474 + 6.72415i −0.239687 + 1.05014i 0.701611 + 0.712560i \(0.252464\pi\)
−0.941298 + 0.337577i \(0.890393\pi\)
\(42\) 0.119534 1.47459i 0.0184445 0.227535i
\(43\) −1.07998 4.73170i −0.164695 0.721578i −0.988061 0.154066i \(-0.950763\pi\)
0.823365 0.567512i \(-0.192094\pi\)
\(44\) 4.83418 1.49115i 0.728780 0.224799i
\(45\) 1.02912 + 2.62215i 0.153412 + 0.390887i
\(46\) −1.96164 1.82013i −0.289228 0.268364i
\(47\) 7.45360 + 5.08178i 1.08722 + 0.741253i 0.967833 0.251595i \(-0.0809550\pi\)
0.119386 + 0.992848i \(0.461907\pi\)
\(48\) −2.42129 −0.349482
\(49\) 5.73525 + 4.01334i 0.819322 + 0.573334i
\(50\) −1.54486 −0.218477
\(51\) −1.39340 0.950007i −0.195116 0.133028i
\(52\) 1.25257 + 1.16221i 0.173700 + 0.161170i
\(53\) −1.40641 3.58348i −0.193186 0.492229i 0.801156 0.598455i \(-0.204219\pi\)
−0.994342 + 0.106226i \(0.966123\pi\)
\(54\) 2.63244 0.812001i 0.358230 0.110499i
\(55\) −0.963239 4.22022i −0.129883 0.569055i
\(56\) −2.67582 + 4.57019i −0.357571 + 0.610718i
\(57\) 1.44981 6.35205i 0.192033 0.841350i
\(58\) −0.178955 2.38799i −0.0234980 0.313559i
\(59\) 14.4429 + 4.45505i 1.88031 + 0.579998i 0.992891 + 0.119031i \(0.0379787\pi\)
0.887417 + 0.460967i \(0.152497\pi\)
\(60\) −0.193423 + 2.58105i −0.0249708 + 0.333212i
\(61\) −0.255188 + 0.650210i −0.0326735 + 0.0832508i −0.946279 0.323350i \(-0.895191\pi\)
0.913606 + 0.406601i \(0.133286\pi\)
\(62\) 1.64913 0.794180i 0.209440 0.100861i
\(63\) −1.16449 + 4.96257i −0.146712 + 0.625225i
\(64\) 1.65116 + 0.795159i 0.206396 + 0.0993948i
\(65\) 1.07178 0.994464i 0.132938 0.123348i
\(66\) −1.63705 + 0.246745i −0.201506 + 0.0303722i
\(67\) −6.37686 + 11.0450i −0.779057 + 1.34937i 0.153429 + 0.988160i \(0.450968\pi\)
−0.932486 + 0.361207i \(0.882365\pi\)
\(68\) 1.39069 + 2.40875i 0.168646 + 0.292104i
\(69\) −3.20273 4.01609i −0.385563 0.483481i
\(70\) 1.71783 + 1.18657i 0.205320 + 0.141823i
\(71\) −6.47848 + 8.12376i −0.768854 + 0.964113i −0.999961 0.00881562i \(-0.997194\pi\)
0.231107 + 0.972928i \(0.425765\pi\)
\(72\) −3.81338 0.574775i −0.449411 0.0677379i
\(73\) 6.50680 4.43626i 0.761564 0.519225i −0.119149 0.992876i \(-0.538017\pi\)
0.880713 + 0.473651i \(0.157064\pi\)
\(74\) 4.46068 3.04124i 0.518543 0.353537i
\(75\) −2.93237 0.441983i −0.338601 0.0510358i
\(76\) −6.69978 + 8.40126i −0.768518 + 0.963691i
\(77\) 2.90613 7.27422i 0.331184 0.828974i
\(78\) −0.348638 0.437179i −0.0394755 0.0495007i
\(79\) −2.81233 4.87109i −0.316412 0.548041i 0.663325 0.748331i \(-0.269145\pi\)
−0.979737 + 0.200291i \(0.935811\pi\)
\(80\) 1.70848 2.95917i 0.191014 0.330846i
\(81\) −0.486256 + 0.0732913i −0.0540284 + 0.00814347i
\(82\) −2.72879 + 2.53194i −0.301344 + 0.279606i
\(83\) 10.7997 + 5.20086i 1.18542 + 0.570868i 0.919486 0.393123i \(-0.128605\pi\)
0.265934 + 0.963991i \(0.414320\pi\)
\(84\) −2.94248 + 3.64404i −0.321051 + 0.397598i
\(85\) 2.14425 1.03262i 0.232576 0.112003i
\(86\) 0.957002 2.43840i 0.103196 0.262940i
\(87\) 0.343519 4.58394i 0.0368291 0.491450i
\(88\) 5.66302 + 1.74681i 0.603680 + 0.186211i
\(89\) −0.788139 10.5170i −0.0835426 1.11480i −0.868646 0.495434i \(-0.835009\pi\)
0.785103 0.619365i \(-0.212610\pi\)
\(90\) −0.338304 + 1.48221i −0.0356604 + 0.156238i
\(91\) 2.61855 0.378401i 0.274499 0.0396672i
\(92\) 1.88517 + 8.25949i 0.196543 + 0.861111i
\(93\) 3.35750 1.03565i 0.348157 0.107392i
\(94\) 1.77880 + 4.53232i 0.183470 + 0.467473i
\(95\) 6.74016 + 6.25395i 0.691525 + 0.641642i
\(96\) −4.50666 3.07259i −0.459959 0.313595i
\(97\) −14.6532 −1.48781 −0.743904 0.668286i \(-0.767028\pi\)
−0.743904 + 0.668286i \(0.767028\pi\)
\(98\) 1.33737 + 3.53343i 0.135095 + 0.356930i
\(99\) 5.70414 0.573287
\(100\) 4.04103 + 2.75513i 0.404103 + 0.275513i
\(101\) −8.79041 8.15631i −0.874679 0.811583i 0.108525 0.994094i \(-0.465387\pi\)
−0.983204 + 0.182510i \(0.941578\pi\)
\(102\) −0.332537 0.847290i −0.0329260 0.0838942i
\(103\) −0.977769 + 0.301602i −0.0963424 + 0.0297177i −0.342552 0.939499i \(-0.611291\pi\)
0.246209 + 0.969217i \(0.420815\pi\)
\(104\) 0.445412 + 1.95148i 0.0436763 + 0.191358i
\(105\) 2.92121 + 2.74375i 0.285081 + 0.267763i
\(106\) 0.462333 2.02561i 0.0449058 0.196745i
\(107\) −1.24661 16.6348i −0.120514 1.60815i −0.650069 0.759875i \(-0.725260\pi\)
0.529555 0.848276i \(-0.322359\pi\)
\(108\) −8.33403 2.57071i −0.801943 0.247367i
\(109\) −1.02079 + 13.6215i −0.0977738 + 1.30470i 0.705338 + 0.708872i \(0.250795\pi\)
−0.803111 + 0.595829i \(0.796824\pi\)
\(110\) 0.853554 2.17482i 0.0813832 0.207361i
\(111\) 9.33709 4.49650i 0.886237 0.426789i
\(112\) 5.58717 2.64887i 0.527938 0.250295i
\(113\) −0.236091 0.113695i −0.0222095 0.0106955i 0.422746 0.906248i \(-0.361066\pi\)
−0.444956 + 0.895553i \(0.646781\pi\)
\(114\) 2.57778 2.39183i 0.241431 0.224015i
\(115\) 7.16814 1.08042i 0.668433 0.100750i
\(116\) −3.79066 + 6.56562i −0.351954 + 0.609603i
\(117\) 0.963312 + 1.66850i 0.0890582 + 0.154253i
\(118\) 5.08616 + 6.37784i 0.468219 + 0.587128i
\(119\) 4.25461 + 0.667784i 0.390020 + 0.0612157i
\(120\) −1.89046 + 2.37056i −0.172574 + 0.216401i
\(121\) 2.20935 + 0.333006i 0.200850 + 0.0302733i
\(122\) −0.311485 + 0.212367i −0.0282006 + 0.0192268i
\(123\) −5.90401 + 4.02528i −0.532346 + 0.362948i
\(124\) −5.73013 0.863678i −0.514581 0.0775605i
\(125\) 7.16722 8.98741i 0.641056 0.803858i
\(126\) −2.02809 + 1.85895i −0.180677 + 0.165609i
\(127\) −12.7658 16.0078i −1.13278 1.42046i −0.893244 0.449573i \(-0.851576\pi\)
−0.239535 0.970888i \(-0.576995\pi\)
\(128\) 5.75925 + 9.97532i 0.509051 + 0.881702i
\(129\) 2.51415 4.35463i 0.221358 0.383404i
\(130\) 0.780300 0.117611i 0.0684368 0.0103152i
\(131\) −1.84843 + 1.71509i −0.161498 + 0.149848i −0.756783 0.653667i \(-0.773230\pi\)
0.595284 + 0.803515i \(0.297039\pi\)
\(132\) 4.72221 + 2.27410i 0.411015 + 0.197935i
\(133\) 3.60363 + 16.2436i 0.312475 + 1.40850i
\(134\) −6.20178 + 2.98662i −0.535752 + 0.258004i
\(135\) −2.72643 + 6.94682i −0.234653 + 0.597887i
\(136\) −0.243491 + 3.24916i −0.0208792 + 0.278613i
\(137\) 11.0744 + 3.41600i 0.946149 + 0.291848i 0.729173 0.684329i \(-0.239905\pi\)
0.216975 + 0.976177i \(0.430381\pi\)
\(138\) −0.207184 2.76468i −0.0176367 0.235345i
\(139\) 0.413004 1.80949i 0.0350306 0.153479i −0.954388 0.298570i \(-0.903490\pi\)
0.989418 + 0.145091i \(0.0463475\pi\)
\(140\) −2.37732 6.16742i −0.200921 0.521242i
\(141\) 2.07973 + 9.11190i 0.175145 + 0.767360i
\(142\) −5.35892 + 1.65301i −0.449711 + 0.138717i
\(143\) −1.08166 2.75603i −0.0904531 0.230471i
\(144\) 3.30067 + 3.06257i 0.275055 + 0.255214i
\(145\) 5.35987 + 3.65430i 0.445113 + 0.303473i
\(146\) 4.25042 0.351767
\(147\) 1.52761 + 7.08956i 0.125995 + 0.584737i
\(148\) −17.0920 −1.40495
\(149\) −8.29319 5.65420i −0.679405 0.463210i 0.173804 0.984780i \(-0.444394\pi\)
−0.853208 + 0.521570i \(0.825347\pi\)
\(150\) −1.17328 1.08864i −0.0957977 0.0888873i
\(151\) −1.46964 3.74457i −0.119597 0.304729i 0.858521 0.512778i \(-0.171384\pi\)
−0.978118 + 0.208050i \(0.933288\pi\)
\(152\) −12.0288 + 3.71038i −0.975661 + 0.300951i
\(153\) 0.697852 + 3.05749i 0.0564180 + 0.247183i
\(154\) 3.50758 2.36029i 0.282649 0.190197i
\(155\) −1.10336 + 4.83413i −0.0886239 + 0.388287i
\(156\) 0.132293 + 1.76533i 0.0105919 + 0.141340i
\(157\) 4.49820 + 1.38751i 0.358995 + 0.110735i 0.469006 0.883195i \(-0.344612\pi\)
−0.110011 + 0.993930i \(0.535089\pi\)
\(158\) 0.226862 3.02726i 0.0180481 0.240836i
\(159\) 1.45710 3.71263i 0.115556 0.294431i
\(160\) 6.93510 3.33977i 0.548268 0.264032i
\(161\) 11.7839 + 5.76345i 0.928705 + 0.454224i
\(162\) −0.239123 0.115156i −0.0187873 0.00904749i
\(163\) −10.2536 + 9.51396i −0.803125 + 0.745191i −0.970603 0.240685i \(-0.922628\pi\)
0.167479 + 0.985876i \(0.446437\pi\)
\(164\) 11.6534 1.75647i 0.909979 0.137157i
\(165\) 2.24238 3.88391i 0.174569 0.302362i
\(166\) 3.23475 + 5.60276i 0.251065 + 0.434858i
\(167\) 0.812983 + 1.01945i 0.0629105 + 0.0788873i 0.812291 0.583252i \(-0.198220\pi\)
−0.749381 + 0.662139i \(0.769649\pi\)
\(168\) −5.25275 + 1.58532i −0.405258 + 0.122310i
\(169\) 0.623490 0.781831i 0.0479608 0.0601409i
\(170\) 1.27016 + 0.191445i 0.0974165 + 0.0146832i
\(171\) −10.0108 + 6.82523i −0.765543 + 0.521939i
\(172\) −6.85199 + 4.67160i −0.522459 + 0.356207i
\(173\) −2.19845 0.331363i −0.167145 0.0251930i 0.0649366 0.997889i \(-0.479315\pi\)
−0.232081 + 0.972696i \(0.574554\pi\)
\(174\) 1.54687 1.93972i 0.117268 0.147049i
\(175\) 7.25003 2.18811i 0.548051 0.165406i
\(176\) −4.31412 5.40974i −0.325189 0.407774i
\(177\) 7.82956 + 13.5612i 0.588506 + 1.01932i
\(178\) 2.84608 4.92956i 0.213323 0.369486i
\(179\) −17.7476 + 2.67502i −1.32652 + 0.199940i −0.773801 0.633429i \(-0.781647\pi\)
−0.552716 + 0.833369i \(0.686409\pi\)
\(180\) 3.52832 3.27380i 0.262985 0.244015i
\(181\) −18.1782 8.75416i −1.35117 0.650691i −0.388524 0.921439i \(-0.627015\pi\)
−0.962650 + 0.270747i \(0.912729\pi\)
\(182\) 1.28276 + 0.627390i 0.0950846 + 0.0465053i
\(183\) −0.652001 + 0.313987i −0.0481973 + 0.0232106i
\(184\) −3.62581 + 9.23840i −0.267298 + 0.681064i
\(185\) −1.09293 + 14.5841i −0.0803536 + 1.07224i
\(186\) 1.81211 + 0.558963i 0.132871 + 0.0409852i
\(187\) −0.360151 4.80588i −0.0263368 0.351440i
\(188\) 3.43002 15.0279i 0.250160 1.09602i
\(189\) −11.2039 + 7.53924i −0.814966 + 0.548399i
\(190\) 1.10427 + 4.83813i 0.0801122 + 0.350995i
\(191\) 19.5770 6.03870i 1.41654 0.436945i 0.510406 0.859933i \(-0.329495\pi\)
0.906135 + 0.422988i \(0.139019\pi\)
\(192\) 0.693673 + 1.76745i 0.0500616 + 0.127555i
\(193\) −5.96192 5.53185i −0.429148 0.398192i 0.435807 0.900040i \(-0.356463\pi\)
−0.864956 + 0.501849i \(0.832653\pi\)
\(194\) −6.53443 4.45510i −0.469145 0.319858i
\(195\) 1.51477 0.108475
\(196\) 2.80328 11.6278i 0.200234 0.830555i
\(197\) 10.0603 0.716766 0.358383 0.933575i \(-0.383328\pi\)
0.358383 + 0.933575i \(0.383328\pi\)
\(198\) 2.54370 + 1.73426i 0.180773 + 0.123249i
\(199\) 18.1220 + 16.8147i 1.28463 + 1.19196i 0.970097 + 0.242717i \(0.0780387\pi\)
0.314534 + 0.949246i \(0.398152\pi\)
\(200\) 2.09320 + 5.33338i 0.148011 + 0.377127i
\(201\) −12.6263 + 3.89470i −0.890591 + 0.274711i
\(202\) −1.44017 6.30982i −0.101330 0.443957i
\(203\) 4.22213 + 10.9533i 0.296335 + 0.768774i
\(204\) −0.641222 + 2.80938i −0.0448945 + 0.196696i
\(205\) −0.753582 10.0559i −0.0526324 0.702331i
\(206\) −0.527723 0.162781i −0.0367682 0.0113415i
\(207\) −0.713850 + 9.52567i −0.0496160 + 0.662080i
\(208\) 0.853824 2.17551i 0.0592020 0.150844i
\(209\) 16.7752 8.07852i 1.16037 0.558803i
\(210\) 0.468480 + 2.11170i 0.0323282 + 0.145721i
\(211\) 16.0320 + 7.72059i 1.10369 + 0.531508i 0.894816 0.446436i \(-0.147307\pi\)
0.208871 + 0.977943i \(0.433021\pi\)
\(212\) −4.82187 + 4.47404i −0.331167 + 0.307278i
\(213\) −10.6449 + 1.60446i −0.729377 + 0.109936i
\(214\) 4.50168 7.79713i 0.307728 0.533001i
\(215\) 3.54801 + 6.14533i 0.241972 + 0.419108i
\(216\) −6.37010 7.98785i −0.433430 0.543504i
\(217\) −6.61450 + 6.06287i −0.449022 + 0.411575i
\(218\) −4.59663 + 5.76399i −0.311323 + 0.390386i
\(219\) 8.06790 + 1.21604i 0.545178 + 0.0821723i
\(220\) −6.11131 + 4.16662i −0.412025 + 0.280914i
\(221\) 1.34493 0.916961i 0.0904701 0.0616814i
\(222\) 5.53087 + 0.833644i 0.371208 + 0.0559505i
\(223\) 18.0922 22.6868i 1.21154 1.51922i 0.420701 0.907199i \(-0.361784\pi\)
0.790839 0.612024i \(-0.209644\pi\)
\(224\) 13.7606 + 2.15980i 0.919419 + 0.144308i
\(225\) 3.43832 + 4.31152i 0.229222 + 0.287435i
\(226\) −0.0707145 0.122481i −0.00470386 0.00814732i
\(227\) 6.11724 10.5954i 0.406015 0.703239i −0.588424 0.808553i \(-0.700251\pi\)
0.994439 + 0.105314i \(0.0335846\pi\)
\(228\) −11.0085 + 1.65927i −0.729058 + 0.109888i
\(229\) 7.17873 6.66089i 0.474384 0.440164i −0.406391 0.913699i \(-0.633213\pi\)
0.880775 + 0.473535i \(0.157022\pi\)
\(230\) 3.52504 + 1.69757i 0.232434 + 0.111934i
\(231\) 7.33316 3.47665i 0.482486 0.228747i
\(232\) −8.00166 + 3.85340i −0.525335 + 0.252988i
\(233\) 9.08190 23.1403i 0.594975 1.51597i −0.242867 0.970060i \(-0.578088\pi\)
0.837842 0.545912i \(-0.183817\pi\)
\(234\) −0.0777073 + 1.03693i −0.00507989 + 0.0677864i
\(235\) −12.6036 3.88769i −0.822167 0.253605i
\(236\) −1.92998 25.7538i −0.125631 1.67643i
\(237\) 1.29671 5.68126i 0.0842303 0.369037i
\(238\) 1.69427 + 1.59135i 0.109823 + 0.103152i
\(239\) −2.27176 9.95325i −0.146948 0.643822i −0.993723 0.111870i \(-0.964316\pi\)
0.846775 0.531952i \(-0.178541\pi\)
\(240\) 3.38283 1.04346i 0.218360 0.0673553i
\(241\) 0.817596 + 2.08320i 0.0526660 + 0.134191i 0.954786 0.297295i \(-0.0960846\pi\)
−0.902120 + 0.431486i \(0.857989\pi\)
\(242\) 0.883989 + 0.820222i 0.0568250 + 0.0527259i
\(243\) −13.0727 8.91284i −0.838617 0.571759i
\(244\) 1.19352 0.0764071
\(245\) −9.74240 3.13549i −0.622419 0.200319i
\(246\) −3.85666 −0.245891
\(247\) 5.19602 + 3.54259i 0.330615 + 0.225409i
\(248\) −4.97625 4.61729i −0.315992 0.293198i
\(249\) 4.53707 + 11.5603i 0.287525 + 0.732603i
\(250\) 5.92864 1.82874i 0.374960 0.115660i
\(251\) 0.289512 + 1.26843i 0.0182738 + 0.0800629i 0.983243 0.182302i \(-0.0583548\pi\)
−0.964969 + 0.262365i \(0.915498\pi\)
\(252\) 8.62033 1.24570i 0.543030 0.0784719i
\(253\) 3.26647 14.3113i 0.205361 0.899746i
\(254\) −0.825815 11.0197i −0.0518163 0.691440i
\(255\) 2.35616 + 0.726780i 0.147549 + 0.0455127i
\(256\) −0.190672 + 2.54434i −0.0119170 + 0.159021i
\(257\) 1.82918 4.66066i 0.114101 0.290724i −0.862404 0.506221i \(-0.831042\pi\)
0.976504 + 0.215497i \(0.0691372\pi\)
\(258\) 2.44512 1.17751i 0.152227 0.0733085i
\(259\) −16.6264 + 20.5905i −1.03311 + 1.27943i
\(260\) −2.25085 1.08395i −0.139591 0.0672237i
\(261\) −6.26629 + 5.81427i −0.387874 + 0.359894i
\(262\) −1.34574 + 0.202837i −0.0831399 + 0.0125313i
\(263\) 10.3246 17.8828i 0.636644 1.10270i −0.349520 0.936929i \(-0.613655\pi\)
0.986164 0.165771i \(-0.0530113\pi\)
\(264\) 3.06995 + 5.31730i 0.188942 + 0.327257i
\(265\) 3.50925 + 4.40046i 0.215571 + 0.270318i
\(266\) −3.33163 + 8.33927i −0.204275 + 0.511314i
\(267\) 6.81260 8.54273i 0.416924 0.522807i
\(268\) 21.5489 + 3.24797i 1.31631 + 0.198401i
\(269\) −6.39175 + 4.35782i −0.389712 + 0.265701i −0.742286 0.670083i \(-0.766259\pi\)
0.352575 + 0.935784i \(0.385306\pi\)
\(270\) −3.32790 + 2.26892i −0.202530 + 0.138082i
\(271\) −20.5414 3.09611i −1.24780 0.188076i −0.508269 0.861198i \(-0.669714\pi\)
−0.739531 + 0.673123i \(0.764953\pi\)
\(272\) 2.37189 2.97426i 0.143817 0.180341i
\(273\) 2.25537 + 1.55787i 0.136501 + 0.0942867i
\(274\) 3.89991 + 4.89033i 0.235602 + 0.295436i
\(275\) −4.23725 7.33912i −0.255516 0.442566i
\(276\) −4.38861 + 7.60129i −0.264163 + 0.457544i
\(277\) −4.86297 + 0.732974i −0.292187 + 0.0440402i −0.293500 0.955959i \(-0.594820\pi\)
0.00131292 + 0.999999i \(0.499582\pi\)
\(278\) 0.734324 0.681353i 0.0440418 0.0408649i
\(279\) −5.88685 2.83496i −0.352436 0.169724i
\(280\) 1.76889 7.53826i 0.105711 0.450497i
\(281\) −19.1366 + 9.21570i −1.14159 + 0.549763i −0.906498 0.422210i \(-0.861255\pi\)
−0.235095 + 0.971972i \(0.575540\pi\)
\(282\) −1.84291 + 4.69566i −0.109744 + 0.279623i
\(283\) −1.39323 + 18.5914i −0.0828192 + 1.10515i 0.788698 + 0.614780i \(0.210755\pi\)
−0.871517 + 0.490365i \(0.836864\pi\)
\(284\) 16.9658 + 5.23325i 1.00673 + 0.310536i
\(285\) 0.711880 + 9.49938i 0.0421681 + 0.562695i
\(286\) 0.355577 1.55788i 0.0210257 0.0921196i
\(287\) 9.21998 15.7474i 0.544238 0.929538i
\(288\) 2.25705 + 9.88877i 0.132998 + 0.582701i
\(289\) −13.7128 + 4.22984i −0.806635 + 0.248814i
\(290\) 1.27914 + 3.25919i 0.0751135 + 0.191386i
\(291\) −11.1287 10.3259i −0.652375 0.605315i
\(292\) −11.1182 7.58025i −0.650642 0.443600i
\(293\) −17.4352 −1.01858 −0.509289 0.860596i \(-0.670091\pi\)
−0.509289 + 0.860596i \(0.670091\pi\)
\(294\) −1.47426 + 3.62596i −0.0859806 + 0.211470i
\(295\) −22.0984 −1.28662
\(296\) −16.5433 11.2790i −0.961561 0.655581i
\(297\) 11.0778 + 10.2787i 0.642799 + 0.596430i
\(298\) −1.97917 5.04285i −0.114651 0.292125i
\(299\) 4.73782 1.46142i 0.273995 0.0845163i
\(300\) 1.12754 + 4.94009i 0.0650988 + 0.285216i
\(301\) −1.03750 + 12.7989i −0.0598008 + 0.737715i
\(302\) 0.483116 2.11667i 0.0278002 0.121801i
\(303\) −0.928424 12.3890i −0.0533365 0.711727i
\(304\) 14.0443 + 4.33208i 0.805494 + 0.248462i
\(305\) 0.0763182 1.01840i 0.00436997 0.0583131i
\(306\) −0.618387 + 1.57562i −0.0353508 + 0.0900725i
\(307\) 10.6258 5.11710i 0.606445 0.292048i −0.105351 0.994435i \(-0.533597\pi\)
0.711796 + 0.702387i \(0.247882\pi\)
\(308\) −13.3844 0.0814526i −0.762649 0.00464119i
\(309\) −0.955121 0.459962i −0.0543349 0.0261663i
\(310\) −1.96178 + 1.82027i −0.111422 + 0.103384i
\(311\) −3.49850 + 0.527314i −0.198382 + 0.0299012i −0.247481 0.968893i \(-0.579603\pi\)
0.0490996 + 0.998794i \(0.484365\pi\)
\(312\) −1.03690 + 1.79597i −0.0587030 + 0.101677i
\(313\) −11.1372 19.2901i −0.629509 1.09034i −0.987650 0.156675i \(-0.949923\pi\)
0.358141 0.933668i \(-0.383411\pi\)
\(314\) 1.58407 + 1.98636i 0.0893941 + 0.112097i
\(315\) −0.511706 7.43515i −0.0288314 0.418923i
\(316\) −5.99227 + 7.51407i −0.337091 + 0.422699i
\(317\) −22.2335 3.35116i −1.24876 0.188220i −0.508808 0.860880i \(-0.669914\pi\)
−0.739952 + 0.672660i \(0.765152\pi\)
\(318\) 1.77855 1.21259i 0.0997361 0.0679989i
\(319\) 10.8537 7.39993i 0.607691 0.414316i
\(320\) −2.64955 0.399356i −0.148114 0.0223247i
\(321\) 10.7756 13.5121i 0.601433 0.754174i
\(322\) 3.50262 + 6.15289i 0.195194 + 0.342887i
\(323\) 6.38249 + 8.00339i 0.355131 + 0.445321i
\(324\) 0.420125 + 0.727678i 0.0233403 + 0.0404266i
\(325\) 1.43117 2.47885i 0.0793869 0.137502i
\(326\) −7.46507 + 1.12518i −0.413452 + 0.0623178i
\(327\) −10.3741 + 9.62577i −0.573690 + 0.532306i
\(328\) 12.4385 + 5.99004i 0.686799 + 0.330745i
\(329\) −14.7674 18.7507i −0.814152 1.03376i
\(330\) 2.18081 1.05022i 0.120050 0.0578129i
\(331\) −13.1922 + 33.6132i −0.725109 + 1.84755i −0.247802 + 0.968811i \(0.579708\pi\)
−0.477307 + 0.878736i \(0.658387\pi\)
\(332\) 1.53060 20.4245i 0.0840028 1.12094i
\(333\) −18.4156 5.68046i −1.00917 0.311288i
\(334\) 0.0525917 + 0.701787i 0.00287769 + 0.0384001i
\(335\) 4.14932 18.1794i 0.226702 0.993245i
\(336\) 6.10991 + 1.92545i 0.333323 + 0.105042i
\(337\) −3.58491 15.7065i −0.195283 0.855589i −0.973698 0.227840i \(-0.926834\pi\)
0.778416 0.627749i \(-0.216024\pi\)
\(338\) 0.515743 0.159086i 0.0280527 0.00865312i
\(339\) −0.0991844 0.252718i −0.00538696 0.0137257i
\(340\) −2.98103 2.76599i −0.161669 0.150007i
\(341\) 8.29612 + 5.65620i 0.449260 + 0.306300i
\(342\) −6.53931 −0.353605
\(343\) −11.2809 14.6881i −0.609113 0.793083i
\(344\) −9.71485 −0.523790
\(345\) 6.20535 + 4.23073i 0.334085 + 0.227775i
\(346\) −0.879627 0.816174i −0.0472890 0.0438778i
\(347\) 2.80690 + 7.15187i 0.150682 + 0.383932i 0.986206 0.165522i \(-0.0529309\pi\)
−0.835524 + 0.549454i \(0.814836\pi\)
\(348\) −7.50559 + 2.31517i −0.402342 + 0.124106i
\(349\) 1.88492 + 8.25838i 0.100898 + 0.442061i 0.999991 + 0.00430378i \(0.00136994\pi\)
−0.899093 + 0.437757i \(0.855773\pi\)
\(350\) 3.89833 + 1.22851i 0.208375 + 0.0656664i
\(351\) −1.13579 + 4.97620i −0.0606237 + 0.265610i
\(352\) −1.16483 15.5435i −0.0620855 0.828474i
\(353\) 4.08290 + 1.25941i 0.217311 + 0.0670316i 0.401499 0.915859i \(-0.368489\pi\)
−0.184188 + 0.982891i \(0.558966\pi\)
\(354\) −0.631586 + 8.42793i −0.0335684 + 0.447939i
\(355\) 5.55024 14.1418i 0.294576 0.750568i
\(356\) −16.2362 + 7.81892i −0.860515 + 0.414402i
\(357\) 2.76067 + 3.50532i 0.146110 + 0.185521i
\(358\) −8.72764 4.20301i −0.461270 0.222136i
\(359\) −3.90450 + 3.62285i −0.206072 + 0.191207i −0.776456 0.630171i \(-0.782985\pi\)
0.570384 + 0.821378i \(0.306794\pi\)
\(360\) 5.57545 0.840364i 0.293852 0.0442911i
\(361\) −10.2743 + 17.7956i −0.540752 + 0.936610i
\(362\) −5.44478 9.43064i −0.286171 0.495663i
\(363\) 1.44327 + 1.80980i 0.0757521 + 0.0949901i
\(364\) −2.23653 3.92881i −0.117226 0.205926i
\(365\) −7.17896 + 9.00213i −0.375764 + 0.471193i
\(366\) −0.386216 0.0582127i −0.0201878 0.00304283i
\(367\) 5.55252 3.78564i 0.289839 0.197609i −0.409668 0.912235i \(-0.634355\pi\)
0.699507 + 0.714626i \(0.253403\pi\)
\(368\) 9.57393 6.52739i 0.499076 0.340264i
\(369\) 13.1397 + 1.98048i 0.684023 + 0.103100i
\(370\) −4.92146 + 6.17132i −0.255855 + 0.320832i
\(371\) 0.699309 + 10.1610i 0.0363063 + 0.527534i
\(372\) −3.74324 4.69387i −0.194078 0.243366i
\(373\) −13.4142 23.2340i −0.694559 1.20301i −0.970329 0.241788i \(-0.922266\pi\)
0.275770 0.961224i \(-0.411067\pi\)
\(374\) 1.30055 2.25262i 0.0672500 0.116480i
\(375\) 11.7766 1.77503i 0.608140 0.0916624i
\(376\) 13.2369 12.2821i 0.682641 0.633398i
\(377\) 3.99750 + 1.92510i 0.205882 + 0.0991475i
\(378\) −7.28846 0.0443548i −0.374878 0.00228136i
\(379\) 21.0063 10.1161i 1.07902 0.519630i 0.192019 0.981391i \(-0.438497\pi\)
0.887004 + 0.461761i \(0.152782\pi\)
\(380\) 5.73984 14.6249i 0.294448 0.750240i
\(381\) 1.58522 21.1533i 0.0812132 1.08372i
\(382\) 10.5661 + 3.25922i 0.540610 + 0.166756i
\(383\) −2.57405 34.3483i −0.131528 1.75511i −0.539376 0.842065i \(-0.681340\pi\)
0.407848 0.913050i \(-0.366279\pi\)
\(384\) −2.65548 + 11.6344i −0.135512 + 0.593716i
\(385\) −0.925355 + 11.4154i −0.0471604 + 0.581781i
\(386\) −0.976769 4.27951i −0.0497162 0.217821i
\(387\) −8.93522 + 2.75615i −0.454203 + 0.140103i
\(388\) 9.14739 + 23.3072i 0.464388 + 1.18324i
\(389\) −10.1182 9.38831i −0.513013 0.476006i 0.380667 0.924712i \(-0.375695\pi\)
−0.893679 + 0.448706i \(0.851885\pi\)
\(390\) 0.675493 + 0.460544i 0.0342049 + 0.0233205i
\(391\) 8.07068 0.408152
\(392\) 10.3865 9.40463i 0.524598 0.475006i
\(393\) −2.61243 −0.131780
\(394\) 4.48627 + 3.05869i 0.226015 + 0.154095i
\(395\) 6.02838 + 5.59352i 0.303321 + 0.281440i
\(396\) −3.56086 9.07291i −0.178940 0.455931i
\(397\) −26.4551 + 8.16033i −1.32774 + 0.409555i −0.875879 0.482531i \(-0.839718\pi\)
−0.451866 + 0.892086i \(0.649241\pi\)
\(398\) 2.96900 + 13.0081i 0.148823 + 0.652035i
\(399\) −8.70976 + 14.8759i −0.436033 + 0.744729i
\(400\) 1.48854 6.52173i 0.0744271 0.326087i
\(401\) −1.07019 14.2807i −0.0534427 0.713144i −0.957996 0.286783i \(-0.907414\pi\)
0.904553 0.426361i \(-0.140205\pi\)
\(402\) −6.81469 2.10205i −0.339886 0.104841i
\(403\) −0.253438 + 3.38189i −0.0126246 + 0.168464i
\(404\) −7.48582 + 19.0735i −0.372433 + 0.948944i
\(405\) 0.647772 0.311951i 0.0321881 0.0155010i
\(406\) −1.44740 + 6.16820i −0.0718332 + 0.306123i
\(407\) 26.6826 + 12.8497i 1.32261 + 0.636935i
\(408\) −2.47456 + 2.29605i −0.122509 + 0.113672i
\(409\) −6.14612 + 0.926378i −0.303906 + 0.0458065i −0.299225 0.954183i \(-0.596728\pi\)
−0.00468103 + 0.999989i \(0.501490\pi\)
\(410\) 2.72129 4.71341i 0.134395 0.232779i
\(411\) 6.00346 + 10.3983i 0.296129 + 0.512911i
\(412\) 1.09010 + 1.36695i 0.0537055 + 0.0673446i
\(413\) −32.9027 22.7272i −1.61904 1.11833i
\(414\) −3.21448 + 4.03083i −0.157983 + 0.198104i
\(415\) −17.3298 2.61205i −0.850686 0.128220i
\(416\) 4.34989 2.96571i 0.213271 0.145406i
\(417\) 1.58879 1.08322i 0.0778031 0.0530453i
\(418\) 9.93688 + 1.49774i 0.486029 + 0.0732571i
\(419\) −17.2844 + 21.6739i −0.844397 + 1.05884i 0.153106 + 0.988210i \(0.451073\pi\)
−0.997503 + 0.0706304i \(0.977499\pi\)
\(420\) 2.54059 6.35924i 0.123968 0.310299i
\(421\) −7.67213 9.62055i −0.373917 0.468877i 0.558896 0.829238i \(-0.311225\pi\)
−0.932813 + 0.360361i \(0.882654\pi\)
\(422\) 4.80194 + 8.31721i 0.233755 + 0.404875i
\(423\) 8.69015 15.0518i 0.422529 0.731842i
\(424\) −7.61953 + 1.14846i −0.370037 + 0.0557741i
\(425\) 3.41547 3.16909i 0.165675 0.153724i
\(426\) −5.23479 2.52094i −0.253626 0.122140i
\(427\) 1.16101 1.43782i 0.0561850 0.0695809i
\(428\) −25.6809 + 12.3673i −1.24133 + 0.597795i
\(429\) 1.12064 2.85535i 0.0541052 0.137858i
\(430\) −0.286207 + 3.81916i −0.0138021 + 0.184176i
\(431\) 30.1931 + 9.31335i 1.45435 + 0.448608i 0.918404 0.395643i \(-0.129478\pi\)
0.535948 + 0.844251i \(0.319954\pi\)
\(432\) 0.891437 + 11.8954i 0.0428893 + 0.572318i
\(433\) 1.10233 4.82962i 0.0529745 0.232097i −0.941509 0.336987i \(-0.890592\pi\)
0.994484 + 0.104891i \(0.0334492\pi\)
\(434\) −4.79299 + 0.692624i −0.230071 + 0.0332470i
\(435\) 1.49553 + 6.55236i 0.0717053 + 0.314161i
\(436\) 22.3033 6.87967i 1.06814 0.329476i
\(437\) 11.3914 + 29.0249i 0.544926 + 1.38845i
\(438\) 3.22807 + 2.99521i 0.154243 + 0.143117i
\(439\) 17.0393 + 11.6172i 0.813241 + 0.554458i 0.897001 0.442028i \(-0.145741\pi\)
−0.0837608 + 0.996486i \(0.526693\pi\)
\(440\) −8.66472 −0.413074
\(441\) 6.88483 11.5966i 0.327849 0.552219i
\(442\) 0.878547 0.0417882
\(443\) 12.5433 + 8.55186i 0.595949 + 0.406311i 0.823386 0.567482i \(-0.192082\pi\)
−0.227437 + 0.973793i \(0.573035\pi\)
\(444\) −12.9808 12.0444i −0.616043 0.571604i
\(445\) 5.63347 + 14.3538i 0.267052 + 0.680437i
\(446\) 14.9656 4.61628i 0.708642 0.218587i
\(447\) −2.31400 10.1383i −0.109448 0.479525i
\(448\) −3.53425 3.31955i −0.166977 0.156834i
\(449\) −1.90543 + 8.34825i −0.0899230 + 0.393978i −0.999781 0.0209421i \(-0.993333\pi\)
0.909858 + 0.414920i \(0.136191\pi\)
\(450\) 0.222424 + 2.96805i 0.0104852 + 0.139915i
\(451\) −19.5129 6.01894i −0.918827 0.283421i
\(452\) −0.0334603 + 0.446497i −0.00157384 + 0.0210015i
\(453\) 1.52260 3.87952i 0.0715380 0.182276i
\(454\) 5.94928 2.86502i 0.279214 0.134462i
\(455\) −3.49536 + 1.65715i −0.163865 + 0.0776883i
\(456\) −11.7501 5.65856i −0.550250 0.264987i
\(457\) 4.01602 3.72633i 0.187862 0.174310i −0.580635 0.814164i \(-0.697196\pi\)
0.768497 + 0.639854i \(0.221005\pi\)
\(458\) 5.22642 0.787757i 0.244215 0.0368095i
\(459\) −4.15423 + 7.19534i −0.193903 + 0.335850i
\(460\) −6.19328 10.7271i −0.288763 0.500152i
\(461\) −0.512179 0.642252i −0.0238546 0.0299127i 0.769761 0.638332i \(-0.220375\pi\)
−0.793616 + 0.608419i \(0.791804\pi\)
\(462\) 4.32716 + 0.679171i 0.201318 + 0.0315979i
\(463\) −10.6615 + 13.3691i −0.495482 + 0.621315i −0.965203 0.261500i \(-0.915783\pi\)
0.469722 + 0.882815i \(0.344354\pi\)
\(464\) 10.2535 + 1.54546i 0.476006 + 0.0717463i
\(465\) −4.24451 + 2.89386i −0.196834 + 0.134199i
\(466\) 11.0855 7.55794i 0.513524 0.350115i
\(467\) 26.1558 + 3.94236i 1.21035 + 0.182431i 0.723044 0.690802i \(-0.242742\pi\)
0.487304 + 0.873233i \(0.337980\pi\)
\(468\) 2.05254 2.57381i 0.0948788 0.118974i
\(469\) 24.8747 22.8002i 1.14861 1.05282i
\(470\) −4.43843 5.56561i −0.204729 0.256722i
\(471\) 2.43849 + 4.22359i 0.112360 + 0.194613i
\(472\) 15.1270 26.2007i 0.696276 1.20599i
\(473\) 14.2089 2.14164i 0.653325 0.0984729i
\(474\) 2.30556 2.13925i 0.105898 0.0982588i
\(475\) 16.2179 + 7.81015i 0.744130 + 0.358354i
\(476\) −1.59381 7.18419i −0.0730522 0.329287i
\(477\) −6.68223 + 3.21799i −0.305958 + 0.147342i
\(478\) 2.01308 5.12924i 0.0920760 0.234606i
\(479\) −0.901009 + 12.0231i −0.0411681 + 0.549351i 0.938045 + 0.346515i \(0.112635\pi\)
−0.979213 + 0.202836i \(0.934984\pi\)
\(480\) 7.62048 + 2.35061i 0.347826 + 0.107290i
\(481\) 0.747517 + 9.97492i 0.0340838 + 0.454817i
\(482\) −0.268770 + 1.17756i −0.0122421 + 0.0536363i
\(483\) 4.88814 + 12.6811i 0.222418 + 0.577012i
\(484\) −0.849531 3.72204i −0.0386151 0.169184i
\(485\) 20.4723 6.31486i 0.929599 0.286743i
\(486\) −3.11982 7.94917i −0.141518 0.360581i
\(487\) −25.7011 23.8471i −1.16463 1.08062i −0.995475 0.0950265i \(-0.969706\pi\)
−0.169153 0.985590i \(-0.554103\pi\)
\(488\) 1.15521 + 0.787606i 0.0522937 + 0.0356533i
\(489\) −14.4917 −0.655335
\(490\) −3.39121 4.36027i −0.153199 0.196977i
\(491\) 20.9665 0.946203 0.473102 0.881008i \(-0.343134\pi\)
0.473102 + 0.881008i \(0.343134\pi\)
\(492\) 10.0882 + 6.87800i 0.454810 + 0.310084i
\(493\) 5.29431 + 4.91240i 0.238444 + 0.221243i
\(494\) 1.24003 + 3.15955i 0.0557918 + 0.142155i
\(495\) −7.96936 + 2.45822i −0.358196 + 0.110489i
\(496\) 1.76367 + 7.72714i 0.0791911 + 0.346959i
\(497\) 22.8081 15.3478i 1.02308 0.688443i
\(498\) −1.49148 + 6.53461i −0.0668349 + 0.292823i
\(499\) 0.600635 + 8.01492i 0.0268881 + 0.358797i 0.994378 + 0.105888i \(0.0337684\pi\)
−0.967490 + 0.252909i \(0.918613\pi\)
\(500\) −18.7694 5.78960i −0.839395 0.258919i
\(501\) −0.100954 + 1.34714i −0.00451029 + 0.0601857i
\(502\) −0.256545 + 0.653666i −0.0114502 + 0.0291745i
\(503\) −12.2254 + 5.88743i −0.545103 + 0.262508i −0.686106 0.727502i \(-0.740681\pi\)
0.141004 + 0.990009i \(0.454967\pi\)
\(504\) 9.16567 + 4.48287i 0.408272 + 0.199683i
\(505\) 15.7963 + 7.60708i 0.702924 + 0.338510i
\(506\) 5.80781 5.38886i 0.258189 0.239564i
\(507\) 1.02447 0.154414i 0.0454982 0.00685775i
\(508\) −17.4926 + 30.2980i −0.776108 + 1.34426i
\(509\) 5.22294 + 9.04639i 0.231503 + 0.400974i 0.958251 0.285930i \(-0.0923025\pi\)
−0.726748 + 0.686904i \(0.758969\pi\)
\(510\) 0.829737 + 1.04046i 0.0367414 + 0.0460722i
\(511\) −19.9472 + 6.02020i −0.882411 + 0.266318i
\(512\) 13.5047 16.9344i 0.596831 0.748402i
\(513\) −31.7404 4.78410i −1.40137 0.211223i
\(514\) 2.23271 1.52224i 0.0984806 0.0671429i
\(515\) 1.23608 0.842747i 0.0544683 0.0371359i
\(516\) −8.49589 1.28055i −0.374011 0.0563731i
\(517\) −16.6526 + 20.8817i −0.732382 + 0.918378i
\(518\) −13.6746 + 4.12709i −0.600827 + 0.181334i
\(519\) −1.43615 1.80087i −0.0630400 0.0790496i
\(520\) −1.46329 2.53450i −0.0641696 0.111145i
\(521\) −4.81852 + 8.34592i −0.211103 + 0.365641i −0.952060 0.305911i \(-0.901039\pi\)
0.740957 + 0.671553i \(0.234372\pi\)
\(522\) −4.56213 + 0.687630i −0.199679 + 0.0300968i
\(523\) −9.33496 + 8.66157i −0.408189 + 0.378744i −0.857373 0.514695i \(-0.827905\pi\)
0.449184 + 0.893439i \(0.351715\pi\)
\(524\) 3.88190 + 1.86942i 0.169582 + 0.0816662i
\(525\) 7.04811 + 3.44719i 0.307605 + 0.150448i
\(526\) 10.0412 4.83557i 0.437815 0.210841i
\(527\) −2.01683 + 5.13881i −0.0878547 + 0.223850i
\(528\) 0.535716 7.14863i 0.0233140 0.311104i
\(529\) 1.51238 + 0.466507i 0.0657556 + 0.0202829i
\(530\) 0.227012 + 3.02927i 0.00986079 + 0.131583i
\(531\) 6.47976 28.3897i 0.281198 1.23201i
\(532\) 23.5872 15.8721i 1.02263 0.688142i
\(533\) −1.53474 6.72415i −0.0664772 0.291255i
\(534\) 5.63530 1.73826i 0.243863 0.0752219i
\(535\) 8.91052 + 22.7036i 0.385235 + 0.981563i
\(536\) 18.7138 + 17.3639i 0.808314 + 0.750006i
\(537\) −15.3638 10.4749i −0.662997 0.452024i
\(538\) −4.17526 −0.180008
\(539\) −13.1180 + 16.0449i −0.565031 + 0.691101i
\(540\) 12.7515 0.548737
\(541\) 6.71943 + 4.58123i 0.288891 + 0.196963i 0.699090 0.715033i \(-0.253588\pi\)
−0.410199 + 0.911996i \(0.634541\pi\)
\(542\) −8.21886 7.62599i −0.353030 0.327564i
\(543\) −7.63687 19.4584i −0.327729 0.835041i
\(544\) 8.18902 2.52598i 0.351102 0.108300i
\(545\) −4.44407 19.4707i −0.190363 0.834035i
\(546\) 0.532106 + 1.38043i 0.0227720 + 0.0590768i
\(547\) −2.74014 + 12.0053i −0.117160 + 0.513311i 0.881958 + 0.471327i \(0.156225\pi\)
−0.999118 + 0.0419839i \(0.986632\pi\)
\(548\) −1.47985 19.7472i −0.0632160 0.843559i
\(549\) 1.28595 + 0.396662i 0.0548829 + 0.0169291i
\(550\) 0.341805 4.56107i 0.0145746 0.194485i
\(551\) −10.1940 + 25.9738i −0.434277 + 1.10652i
\(552\) −9.26386 + 4.46124i −0.394296 + 0.189883i
\(553\) 3.22308 + 14.5282i 0.137059 + 0.617802i
\(554\) −2.39144 1.15165i −0.101602 0.0489291i
\(555\) −11.1072 + 10.3060i −0.471476 + 0.437466i
\(556\) −3.13597 + 0.472671i −0.132995 + 0.0200457i
\(557\) 20.0550 34.7363i 0.849758 1.47182i −0.0316659 0.999499i \(-0.510081\pi\)
0.881424 0.472326i \(-0.156585\pi\)
\(558\) −1.76324 3.05403i −0.0746441 0.129287i
\(559\) 3.02604 + 3.79453i 0.127988 + 0.160492i
\(560\) −6.66440 + 6.10861i −0.281622 + 0.258136i
\(561\) 3.11311 3.90371i 0.131435 0.164815i
\(562\) −11.3357 1.70857i −0.478166 0.0720719i
\(563\) 10.2322 6.97622i 0.431237 0.294013i −0.328182 0.944615i \(-0.606436\pi\)
0.759419 + 0.650602i \(0.225483\pi\)
\(564\) 13.1950 8.99617i 0.555608 0.378807i
\(565\) 0.378844 + 0.0571016i 0.0159381 + 0.00240228i
\(566\) −6.27375 + 7.86704i −0.263706 + 0.330676i
\(567\) 1.28531 + 0.201736i 0.0539779 + 0.00847211i
\(568\) 12.9677 + 16.2610i 0.544115 + 0.682298i
\(569\) −5.18985 8.98908i −0.217570 0.376842i 0.736495 0.676443i \(-0.236480\pi\)
−0.954064 + 0.299601i \(0.903146\pi\)
\(570\) −2.57070 + 4.45258i −0.107675 + 0.186498i
\(571\) −16.4686 + 2.48224i −0.689189 + 0.103879i −0.484294 0.874905i \(-0.660924\pi\)
−0.204895 + 0.978784i \(0.565685\pi\)
\(572\) −3.70846 + 3.44095i −0.155059 + 0.143873i
\(573\) 19.1235 + 9.20941i 0.798897 + 0.384728i
\(574\) 8.89931 4.21916i 0.371450 0.176104i
\(575\) 12.7863 6.15756i 0.533226 0.256788i
\(576\) 1.28996 3.28676i 0.0537483 0.136948i
\(577\) −2.83246 + 37.7965i −0.117917 + 1.57349i 0.553780 + 0.832663i \(0.313185\pi\)
−0.671697 + 0.740826i \(0.734434\pi\)
\(578\) −7.40109 2.28293i −0.307845 0.0949575i
\(579\) −0.629685 8.40256i −0.0261688 0.349198i
\(580\) 2.46653 10.8066i 0.102417 0.448718i
\(581\) −23.1163 21.7120i −0.959025 0.900768i
\(582\) −1.82326 7.98824i −0.0755767 0.331123i
\(583\) 10.8911 3.35946i 0.451063 0.139135i
\(584\) −5.75907 14.6739i −0.238312 0.607209i
\(585\) −2.06491 1.91596i −0.0853736 0.0792151i
\(586\) −7.77504 5.30094i −0.321184 0.218980i
\(587\) 19.3774 0.799791 0.399896 0.916561i \(-0.369046\pi\)
0.399896 + 0.916561i \(0.369046\pi\)
\(588\) 10.3229 6.85551i 0.425710 0.282717i
\(589\) −21.3276 −0.878788
\(590\) −9.85454 6.71871i −0.405705 0.276605i
\(591\) 7.64049 + 7.08934i 0.314288 + 0.291616i
\(592\) 8.54071 + 21.7614i 0.351021 + 0.894387i
\(593\) −18.2397 + 5.62620i −0.749014 + 0.231040i −0.645682 0.763606i \(-0.723427\pi\)
−0.103333 + 0.994647i \(0.532951\pi\)
\(594\) 1.81493 + 7.95171i 0.0744673 + 0.326263i
\(595\) −6.23199 + 0.900569i −0.255486 + 0.0369197i
\(596\) −3.81639 + 16.7207i −0.156325 + 0.684907i
\(597\) 1.91400 + 25.5406i 0.0783348 + 1.04531i
\(598\) 2.55710 + 0.788762i 0.104568 + 0.0322549i
\(599\) 1.35319 18.0570i 0.0552898 0.737791i −0.898817 0.438324i \(-0.855572\pi\)
0.954107 0.299467i \(-0.0968087\pi\)
\(600\) −2.16863 + 5.52559i −0.0885341 + 0.225581i
\(601\) −33.7644 + 16.2601i −1.37728 + 0.663263i −0.968418 0.249334i \(-0.919788\pi\)
−0.408861 + 0.912596i \(0.634074\pi\)
\(602\) −4.35398 + 5.39207i −0.177455 + 0.219765i
\(603\) 22.1382 + 10.6612i 0.901539 + 0.434158i
\(604\) −5.03862 + 4.67516i −0.205019 + 0.190230i
\(605\) −3.23024 + 0.486880i −0.131328 + 0.0197945i
\(606\) 3.35267 5.80699i 0.136193 0.235893i
\(607\) 17.5564 + 30.4087i 0.712594 + 1.23425i 0.963880 + 0.266336i \(0.0858132\pi\)
−0.251286 + 0.967913i \(0.580854\pi\)
\(608\) 20.6428 + 25.8852i 0.837174 + 1.04978i
\(609\) −4.51208 + 11.2940i −0.182839 + 0.457657i
\(610\) 0.343662 0.430938i 0.0139145 0.0174482i
\(611\) −8.92036 1.34453i −0.360879 0.0543938i
\(612\) 4.42755 3.01866i 0.178973 0.122022i
\(613\) −12.2350 + 8.34170i −0.494168 + 0.336918i −0.784626 0.619970i \(-0.787145\pi\)
0.290458 + 0.956888i \(0.406192\pi\)
\(614\) 6.29422 + 0.948702i 0.254014 + 0.0382865i
\(615\) 6.51389 8.16816i 0.262665 0.329372i
\(616\) −12.9011 8.91128i −0.519799 0.359046i
\(617\) 8.83477 + 11.0785i 0.355674 + 0.446002i 0.927191 0.374589i \(-0.122216\pi\)
−0.571517 + 0.820591i \(0.693645\pi\)
\(618\) −0.286080 0.495506i −0.0115078 0.0199322i
\(619\) 23.4325 40.5863i 0.941831 1.63130i 0.179856 0.983693i \(-0.442437\pi\)
0.761975 0.647606i \(-0.224230\pi\)
\(620\) 8.37788 1.26276i 0.336464 0.0507137i
\(621\) −18.5513 + 17.2131i −0.744439 + 0.690738i
\(622\) −1.72044 0.828520i −0.0689833 0.0332206i
\(623\) −6.37452 + 27.1655i −0.255390 + 1.08836i
\(624\) 2.18150 1.05056i 0.0873300 0.0420559i
\(625\) −0.911658 + 2.32287i −0.0364663 + 0.0929147i
\(626\) 0.898400 11.9883i 0.0359073 0.479149i
\(627\) 18.4331 + 5.68586i 0.736147 + 0.227071i
\(628\) −0.601085 8.02093i −0.0239859 0.320070i
\(629\) −3.62320 + 15.8743i −0.144466 + 0.632948i
\(630\) 2.03236 3.47120i 0.0809712 0.138296i
\(631\) 0.834988 + 3.65832i 0.0332404 + 0.145636i 0.988825 0.149082i \(-0.0476317\pi\)
−0.955585 + 0.294717i \(0.904775\pi\)
\(632\) −10.7585 + 3.31855i −0.427949 + 0.132005i
\(633\) 6.73522 + 17.1611i 0.267701 + 0.682091i
\(634\) −8.89591 8.25420i −0.353302 0.327816i
\(635\) 24.7339 + 16.8633i 0.981536 + 0.669200i
\(636\) −6.81486 −0.270227
\(637\) −6.90861 1.12746i −0.273729 0.0446717i
\(638\) 7.08993 0.280693
\(639\) 16.5404 + 11.2771i 0.654328 + 0.446114i
\(640\) −12.3453 11.4547i −0.487990 0.452788i
\(641\) 10.1919 + 25.9687i 0.402558 + 1.02570i 0.978138 + 0.207955i \(0.0666808\pi\)
−0.575581 + 0.817745i \(0.695224\pi\)
\(642\) 8.91341 2.74942i 0.351784 0.108511i
\(643\) 2.17689 + 9.53760i 0.0858483 + 0.376126i 0.999541 0.0302786i \(-0.00963945\pi\)
−0.913693 + 0.406405i \(0.866782\pi\)
\(644\) 1.81103 22.3413i 0.0713647 0.880369i
\(645\) −1.63592 + 7.16743i −0.0644142 + 0.282217i
\(646\) 0.412882 + 5.50953i 0.0162446 + 0.216769i
\(647\) −16.0029 4.93623i −0.629137 0.194063i −0.0362423 0.999343i \(-0.511539\pi\)
−0.592895 + 0.805280i \(0.702015\pi\)
\(648\) −0.0735580 + 0.981563i −0.00288963 + 0.0385594i
\(649\) −16.3487 + 41.6558i −0.641742 + 1.63513i
\(650\) 1.39187 0.670291i 0.0545938 0.0262910i
\(651\) −9.29594 0.0565715i −0.364337 0.00221721i
\(652\) 21.5337 + 10.3701i 0.843323 + 0.406123i
\(653\) −8.46948 + 7.85853i −0.331436 + 0.307528i −0.828283 0.560311i \(-0.810682\pi\)
0.496846 + 0.867839i \(0.334491\pi\)
\(654\) −7.55280 + 1.13840i −0.295338 + 0.0445150i
\(655\) 1.84335 3.19278i 0.0720257 0.124752i
\(656\) −8.05944 13.9594i −0.314668 0.545022i
\(657\) −9.45994 11.8624i −0.369067 0.462796i
\(658\) −0.884472 12.8515i −0.0344803 0.501002i
\(659\) 13.0750 16.3955i 0.509329 0.638679i −0.458976 0.888449i \(-0.651784\pi\)
0.968305 + 0.249770i \(0.0803550\pi\)
\(660\) −7.57752 1.14213i −0.294955 0.0444572i
\(661\) 17.7349 12.0914i 0.689807 0.470302i −0.166989 0.985959i \(-0.553404\pi\)
0.856795 + 0.515657i \(0.172452\pi\)
\(662\) −16.1025 + 10.9785i −0.625842 + 0.426692i
\(663\) 1.66761 + 0.251351i 0.0647645 + 0.00976167i
\(664\) 14.9597 18.7588i 0.580548 0.727984i
\(665\) −12.0349 21.1412i −0.466695 0.819821i
\(666\) −6.48517 8.13215i −0.251295 0.315114i
\(667\) 10.9993 + 19.0513i 0.425893 + 0.737669i
\(668\) 1.11401 1.92952i 0.0431022 0.0746553i
\(669\) 29.7275 4.48071i 1.14933 0.173234i
\(670\) 7.37753 6.84534i 0.285019 0.264459i
\(671\) −1.86323 0.897282i −0.0719290 0.0346392i
\(672\) 8.92879 + 11.3372i 0.344435 + 0.437342i
\(673\) −13.7374 + 6.61559i −0.529538 + 0.255012i −0.679495 0.733680i \(-0.737801\pi\)
0.149956 + 0.988693i \(0.452087\pi\)
\(674\) 3.17670 8.09409i 0.122362 0.311773i
\(675\) −1.09180 + 14.5690i −0.0420232 + 0.560761i
\(676\) −1.63279 0.503648i −0.0627995 0.0193711i
\(677\) 2.08561 + 27.8305i 0.0801563 + 1.06961i 0.881742 + 0.471732i \(0.156371\pi\)
−0.801586 + 0.597880i \(0.796010\pi\)
\(678\) 0.0326051 0.142852i 0.00125219 0.00548621i
\(679\) 36.9761 + 11.6525i 1.41901 + 0.447183i
\(680\) −1.06005 4.64440i −0.0406512 0.178104i
\(681\) 12.1123 3.73614i 0.464143 0.143169i
\(682\) 1.97987 + 5.04463i 0.0758133 + 0.193169i
\(683\) 12.4642 + 11.5651i 0.476931 + 0.442527i 0.881643 0.471917i \(-0.156438\pi\)
−0.404712 + 0.914444i \(0.632628\pi\)
\(684\) 17.1054 + 11.6623i 0.654042 + 0.445918i
\(685\) −16.9444 −0.647411
\(686\) −0.564892 9.97980i −0.0215677 0.381031i
\(687\) 10.1459 0.387089
\(688\) 9.37174 + 6.38955i 0.357294 + 0.243599i
\(689\) 2.82195 + 2.61839i 0.107508 + 0.0997526i
\(690\) 1.48091 + 3.77330i 0.0563773 + 0.143647i
\(691\) 12.8134 3.95240i 0.487443 0.150356i −0.0412851 0.999147i \(-0.513145\pi\)
0.528728 + 0.848791i \(0.322669\pi\)
\(692\) 0.845339 + 3.70367i 0.0321350 + 0.140793i
\(693\) −14.3939 4.53604i −0.546779 0.172310i
\(694\) −0.922718 + 4.04269i −0.0350259 + 0.153459i
\(695\) 0.202791 + 2.70606i 0.00769231 + 0.102647i
\(696\) −8.79246 2.71211i −0.333277 0.102802i
\(697\) 0.838989 11.1955i 0.0317790 0.424061i
\(698\) −1.67028 + 4.25582i −0.0632212 + 0.161085i
\(699\) 23.2041 11.1745i 0.877659 0.422658i
\(700\) −8.00627 10.1658i −0.302608 0.384233i
\(701\) 8.66771 + 4.17415i 0.327375 + 0.157655i 0.590350 0.807147i \(-0.298990\pi\)
−0.262976 + 0.964802i \(0.584704\pi\)
\(702\) −2.01943 + 1.87376i −0.0762186 + 0.0707206i
\(703\) −62.2032 + 9.37563i −2.34604 + 0.353609i
\(704\) −2.71296 + 4.69899i −0.102249 + 0.177100i
\(705\) −6.83244 11.8341i −0.257325 0.445700i
\(706\) 1.43782 + 1.80297i 0.0541130 + 0.0678556i
\(707\) 15.6958 + 27.5721i 0.590301 + 1.03695i
\(708\) 16.6826 20.9193i 0.626969 0.786194i
\(709\) −20.1915 3.04338i −0.758309 0.114297i −0.241504 0.970400i \(-0.577641\pi\)
−0.516805 + 0.856103i \(0.672879\pi\)
\(710\) 6.77468 4.61890i 0.254249 0.173344i
\(711\) −8.95361 + 6.10447i −0.335787 + 0.228935i
\(712\) −20.8747 3.14636i −0.782314 0.117915i
\(713\) −10.4838 + 13.1463i −0.392623 + 0.492333i
\(714\) 0.165347 + 2.40250i 0.00618794 + 0.0899114i
\(715\) 2.69893 + 3.38436i 0.100934 + 0.126568i
\(716\) 15.3339 + 26.5591i 0.573056 + 0.992562i
\(717\) 5.28857 9.16008i 0.197505 0.342089i
\(718\) −2.84265 + 0.428460i −0.106087 + 0.0159900i
\(719\) 6.48890 6.02082i 0.241995 0.224539i −0.549846 0.835266i \(-0.685313\pi\)
0.791841 + 0.610728i \(0.209123\pi\)
\(720\) −5.93125 2.85634i −0.221045 0.106450i
\(721\) 2.70716 + 0.0164747i 0.100820 + 0.000613550i
\(722\) −9.99220 + 4.81199i −0.371871 + 0.179084i
\(723\) −0.847061 + 2.15828i −0.0315025 + 0.0802671i
\(724\) −2.57634 + 34.3788i −0.0957488 + 1.27768i
\(725\) 12.1357 + 3.74336i 0.450707 + 0.139025i
\(726\) 0.0933649 + 1.24587i 0.00346510 + 0.0462385i
\(727\) −0.511582 + 2.24139i −0.0189735 + 0.0831284i −0.983528 0.180754i \(-0.942146\pi\)
0.964555 + 0.263883i \(0.0850032\pi\)
\(728\) 0.427895 5.27859i 0.0158588 0.195638i
\(729\) −3.31933 14.5430i −0.122938 0.538628i
\(730\) −5.93834 + 1.83174i −0.219788 + 0.0677956i
\(731\) 2.88628 + 7.35413i 0.106753 + 0.272002i
\(732\) 0.906441 + 0.841054i 0.0335030 + 0.0310863i
\(733\) −18.5889 12.6737i −0.686598 0.468114i 0.169094 0.985600i \(-0.445916\pi\)
−0.855692 + 0.517485i \(0.826868\pi\)
\(734\) 3.62705 0.133877
\(735\) −5.18953 9.24663i −0.191419 0.341067i
\(736\) 26.1028 0.962163
\(737\) −31.1986 21.2709i −1.14922 0.783522i
\(738\) 5.25734 + 4.87810i 0.193525 + 0.179565i
\(739\) −5.08115 12.9466i −0.186913 0.476247i 0.806445 0.591309i \(-0.201389\pi\)
−0.993358 + 0.115062i \(0.963293\pi\)
\(740\) 23.8795 7.36585i 0.877828 0.270774i
\(741\) 1.44981 + 6.35205i 0.0532603 + 0.233348i
\(742\) −2.77747 + 4.74381i −0.101964 + 0.174151i
\(743\) 11.1044 48.6514i 0.407380 1.78485i −0.188821 0.982012i \(-0.560467\pi\)
0.596201 0.802835i \(-0.296676\pi\)
\(744\) −0.525580 7.01338i −0.0192687 0.257123i
\(745\) 14.0233 + 4.32561i 0.513773 + 0.158478i
\(746\) 1.08208 14.4393i 0.0396177 0.528662i
\(747\) 8.43717 21.4976i 0.308700 0.786554i
\(748\) −7.41933 + 3.57296i −0.271277 + 0.130640i
\(749\) −10.0826 + 42.9679i −0.368412 + 1.57001i
\(750\) 5.79131 + 2.78895i 0.211469 + 0.101838i
\(751\) 28.0850 26.0590i 1.02483 0.950908i 0.0260238 0.999661i \(-0.491715\pi\)
0.998811 + 0.0487538i \(0.0155250\pi\)
\(752\) −20.8474 + 3.14224i −0.760227 + 0.114586i
\(753\) −0.673972 + 1.16735i −0.0245609 + 0.0425407i
\(754\) 1.19734 + 2.07386i 0.0436047 + 0.0755255i
\(755\) 3.66700 + 4.59827i 0.133456 + 0.167348i
\(756\) 18.9859 + 13.1144i 0.690512 + 0.476964i
\(757\) 12.2331 15.3399i 0.444621 0.557537i −0.508134 0.861278i \(-0.669664\pi\)
0.952754 + 0.303741i \(0.0982359\pi\)
\(758\) 12.4432 + 1.87551i 0.451957 + 0.0681216i
\(759\) 12.5658 8.56721i 0.456109 0.310970i
\(760\) 15.2066 10.3677i 0.551601 0.376076i
\(761\) 49.5346 + 7.46615i 1.79563 + 0.270648i 0.960273 0.279062i \(-0.0900234\pi\)
0.835356 + 0.549709i \(0.185261\pi\)
\(762\) 7.13827 8.95110i 0.258592 0.324264i
\(763\) 13.4079 33.5609i 0.485400 1.21499i
\(764\) −21.8262 27.3692i −0.789643 0.990181i
\(765\) −2.29262 3.97093i −0.0828899 0.143569i
\(766\) 9.29524 16.0998i 0.335851 0.581710i
\(767\) −14.9456 + 2.25269i −0.539654 + 0.0813398i
\(768\) −1.93777 + 1.79799i −0.0699232 + 0.0648793i
\(769\) 24.5061 + 11.8015i 0.883711 + 0.425573i 0.819979 0.572394i \(-0.193985\pi\)
0.0637324 + 0.997967i \(0.479700\pi\)
\(770\) −3.88333 + 4.80921i −0.139946 + 0.173312i
\(771\) 4.67351 2.25064i 0.168312 0.0810549i
\(772\) −5.07710 + 12.9362i −0.182729 + 0.465586i
\(773\) 0.535407 7.14451i 0.0192573 0.256970i −0.979263 0.202592i \(-0.935063\p