Properties

Label 731.2.p.a.16.1
Level 731
Weight 2
Character 731.16
Analytic conductor 5.837
Analytic rank 0
Dimension 384
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.p (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(384\)
Relative dimension: \(64\) over \(\Q(\zeta_{14})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 16.1
Character \(\chi\) = 731.16
Dual form 731.2.p.a.594.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.608972 - 2.66808i) q^{2} +(-0.149961 - 0.0342275i) q^{3} +(-4.94587 + 2.38180i) q^{4} +(-1.75767 + 1.40169i) q^{5} +0.420950i q^{6} -1.31934i q^{7} +(5.95414 + 7.46625i) q^{8} +(-2.68159 - 1.29139i) q^{9} +O(q^{10})\) \(q+(-0.608972 - 2.66808i) q^{2} +(-0.149961 - 0.0342275i) q^{3} +(-4.94587 + 2.38180i) q^{4} +(-1.75767 + 1.40169i) q^{5} +0.420950i q^{6} -1.31934i q^{7} +(5.95414 + 7.46625i) q^{8} +(-2.68159 - 1.29139i) q^{9} +(4.81020 + 3.83601i) q^{10} +(-2.12009 + 4.40240i) q^{11} +(0.823208 - 0.187892i) q^{12} +(-2.22859 - 2.79457i) q^{13} +(-3.52009 + 0.803438i) q^{14} +(0.311558 - 0.150038i) q^{15} +(9.44936 - 11.8491i) q^{16} +(2.79006 + 3.03571i) q^{17} +(-1.81251 + 7.94111i) q^{18} +(5.01431 - 2.41476i) q^{19} +(5.35464 - 11.1190i) q^{20} +(-0.0451576 + 0.197848i) q^{21} +(13.0370 + 2.97562i) q^{22} +(3.11298 - 6.46417i) q^{23} +(-0.637334 - 1.32344i) q^{24} +(0.0120493 - 0.0527913i) q^{25} +(-6.09898 + 7.64788i) q^{26} +(0.718709 + 0.573151i) q^{27} +(3.14240 + 6.52526i) q^{28} +(8.59061 - 1.96075i) q^{29} +(-0.590044 - 0.739892i) q^{30} +(0.464690 - 0.106062i) q^{31} +(-20.1609 - 9.70896i) q^{32} +(0.468613 - 0.587622i) q^{33} +(6.40045 - 9.29278i) q^{34} +(1.84931 + 2.31896i) q^{35} +16.3386 q^{36} +8.56761i q^{37} +(-9.49636 - 11.9081i) q^{38} +(0.238550 + 0.495354i) q^{39} +(-20.9308 - 4.77732i) q^{40} +(2.28890 - 0.522427i) q^{41} +0.555375 q^{42} +(-6.36919 + 1.55996i) q^{43} -26.8233i q^{44} +(6.52348 - 1.48894i) q^{45} +(-19.1427 - 4.36919i) q^{46} +(2.59962 - 1.25191i) q^{47} +(-1.82260 + 1.45347i) q^{48} +5.25935 q^{49} -0.148189 q^{50} +(-0.314495 - 0.550734i) q^{51} +(17.6785 + 8.51349i) q^{52} +(-1.32518 + 1.66172i) q^{53} +(1.09154 - 2.26661i) q^{54} +(-2.44442 - 10.7097i) q^{55} +(9.85049 - 7.85551i) q^{56} +(-0.834600 + 0.190492i) q^{57} +(-10.4629 - 21.7264i) q^{58} +(-1.20607 + 1.51237i) q^{59} +(-1.18356 + 1.48414i) q^{60} +(3.87025 + 0.883358i) q^{61} +(-0.565966 - 1.17524i) q^{62} +(-1.70377 + 3.53792i) q^{63} +(-6.88201 + 30.1521i) q^{64} +(7.83426 + 1.78812i) q^{65} +(-1.85319 - 0.892451i) q^{66} +(2.25150 - 1.08427i) q^{67} +(-21.0298 - 8.36883i) q^{68} +(-0.688077 + 0.862821i) q^{69} +(5.06099 - 6.34628i) q^{70} +(4.57165 + 9.49312i) q^{71} +(-6.32474 - 27.7105i) q^{72} +(-9.89322 + 7.88958i) q^{73} +(22.8591 - 5.21743i) q^{74} +(-0.00361383 + 0.00750419i) q^{75} +(-19.0486 + 23.8862i) q^{76} +(5.80825 + 2.79711i) q^{77} +(1.17637 - 0.938128i) q^{78} +5.49483i q^{79} +34.0720i q^{80} +(5.47899 + 6.87044i) q^{81} +(-2.78775 - 5.78883i) q^{82} +(-3.24809 + 14.2308i) q^{83} +(-0.247893 - 1.08609i) q^{84} +(-9.15915 - 1.42496i) q^{85} +(8.04074 + 16.0435i) q^{86} -1.35536 q^{87} +(-45.4927 + 10.3834i) q^{88} +(0.512165 - 2.24394i) q^{89} +(-7.94523 - 16.4984i) q^{90} +(-3.68698 + 2.94026i) q^{91} +39.3855i q^{92} -0.0733154 q^{93} +(-4.92329 - 6.17361i) q^{94} +(-5.42874 + 11.2729i) q^{95} +(2.69102 + 2.14602i) q^{96} +(4.23082 - 8.78538i) q^{97} +(-3.20280 - 14.0324i) q^{98} +(11.3704 - 9.06759i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 384q - 12q^{2} - 72q^{4} - 8q^{8} + 62q^{9} + O(q^{10}) \) \( 384q - 12q^{2} - 72q^{4} - 8q^{8} + 62q^{9} - 18q^{13} - 12q^{15} - 20q^{16} - 14q^{17} + 30q^{18} + 8q^{19} + 20q^{21} + 46q^{25} + 2q^{26} - 30q^{30} + 50q^{32} - 90q^{33} + 8q^{34} + 52q^{35} - 328q^{36} - 46q^{38} + 184q^{42} + 60q^{43} - 2q^{47} - 340q^{49} - 172q^{50} - 68q^{51} + 38q^{52} - 8q^{53} - 28q^{55} + 10q^{59} + 58q^{60} - 44q^{64} + 90q^{66} - 104q^{67} + 60q^{68} - 2q^{69} + 40q^{70} - 164q^{72} - 72q^{76} + 94q^{77} + 120q^{81} - 66q^{83} + 112q^{84} - 96q^{85} - 136q^{86} + 72q^{87} - 6q^{89} - 220q^{93} - 142q^{94} + 124q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(-1\) \(e\left(\frac{4}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.608972 2.66808i −0.430608 1.88662i −0.461582 0.887097i \(-0.652718\pi\)
0.0309740 0.999520i \(-0.490139\pi\)
\(3\) −0.149961 0.0342275i −0.0865798 0.0197613i 0.179012 0.983847i \(-0.442710\pi\)
−0.265591 + 0.964086i \(0.585567\pi\)
\(4\) −4.94587 + 2.38180i −2.47293 + 1.19090i
\(5\) −1.75767 + 1.40169i −0.786054 + 0.626857i −0.932009 0.362434i \(-0.881946\pi\)
0.145956 + 0.989291i \(0.453374\pi\)
\(6\) 0.420950i 0.171852i
\(7\) 1.31934i 0.498662i −0.968418 0.249331i \(-0.919789\pi\)
0.968418 0.249331i \(-0.0802107\pi\)
\(8\) 5.95414 + 7.46625i 2.10511 + 2.63972i
\(9\) −2.68159 1.29139i −0.893863 0.430462i
\(10\) 4.81020 + 3.83601i 1.52112 + 1.21305i
\(11\) −2.12009 + 4.40240i −0.639230 + 1.32737i 0.289699 + 0.957118i \(0.406445\pi\)
−0.928929 + 0.370257i \(0.879270\pi\)
\(12\) 0.823208 0.187892i 0.237640 0.0542397i
\(13\) −2.22859 2.79457i −0.618101 0.775074i 0.369975 0.929042i \(-0.379366\pi\)
−0.988076 + 0.153968i \(0.950795\pi\)
\(14\) −3.52009 + 0.803438i −0.940785 + 0.214728i
\(15\) 0.311558 0.150038i 0.0804438 0.0387397i
\(16\) 9.44936 11.8491i 2.36234 2.96228i
\(17\) 2.79006 + 3.03571i 0.676690 + 0.736268i
\(18\) −1.81251 + 7.94111i −0.427212 + 1.87174i
\(19\) 5.01431 2.41476i 1.15036 0.553985i 0.241220 0.970471i \(-0.422453\pi\)
0.909142 + 0.416486i \(0.136738\pi\)
\(20\) 5.35464 11.1190i 1.19733 2.48629i
\(21\) −0.0451576 + 0.197848i −0.00985419 + 0.0431740i
\(22\) 13.0370 + 2.97562i 2.77951 + 0.634404i
\(23\) 3.11298 6.46417i 0.649102 1.34787i −0.273408 0.961898i \(-0.588151\pi\)
0.922509 0.385975i \(-0.126135\pi\)
\(24\) −0.637334 1.32344i −0.130095 0.270146i
\(25\) 0.0120493 0.0527913i 0.00240985 0.0105583i
\(26\) −6.09898 + 7.64788i −1.19611 + 1.49987i
\(27\) 0.718709 + 0.573151i 0.138316 + 0.110303i
\(28\) 3.14240 + 6.52526i 0.593858 + 1.23316i
\(29\) 8.59061 1.96075i 1.59524 0.364102i 0.669662 0.742666i \(-0.266439\pi\)
0.925575 + 0.378564i \(0.123582\pi\)
\(30\) −0.590044 0.739892i −0.107727 0.135085i
\(31\) 0.464690 0.106062i 0.0834608 0.0190494i −0.180587 0.983559i \(-0.557800\pi\)
0.264047 + 0.964510i \(0.414942\pi\)
\(32\) −20.1609 9.70896i −3.56397 1.71632i
\(33\) 0.468613 0.587622i 0.0815750 0.102292i
\(34\) 6.40045 9.29278i 1.09767 1.59370i
\(35\) 1.84931 + 2.31896i 0.312590 + 0.391975i
\(36\) 16.3386 2.72310
\(37\) 8.56761i 1.40851i 0.709949 + 0.704253i \(0.248718\pi\)
−0.709949 + 0.704253i \(0.751282\pi\)
\(38\) −9.49636 11.9081i −1.54051 1.93174i
\(39\) 0.238550 + 0.495354i 0.0381986 + 0.0793202i
\(40\) −20.9308 4.77732i −3.30945 0.755361i
\(41\) 2.28890 0.522427i 0.357466 0.0815893i −0.0400165 0.999199i \(-0.512741\pi\)
0.397483 + 0.917610i \(0.369884\pi\)
\(42\) 0.555375 0.0856962
\(43\) −6.36919 + 1.55996i −0.971292 + 0.237891i
\(44\) 26.8233i 4.04377i
\(45\) 6.52348 1.48894i 0.972462 0.221958i
\(46\) −19.1427 4.36919i −2.82243 0.644201i
\(47\) 2.59962 1.25191i 0.379193 0.182610i −0.234571 0.972099i \(-0.575369\pi\)
0.613765 + 0.789489i \(0.289654\pi\)
\(48\) −1.82260 + 1.45347i −0.263069 + 0.209791i
\(49\) 5.25935 0.751336
\(50\) −0.148189 −0.0209571
\(51\) −0.314495 0.550734i −0.0440381 0.0771181i
\(52\) 17.6785 + 8.51349i 2.45156 + 1.18061i
\(53\) −1.32518 + 1.66172i −0.182027 + 0.228255i −0.864470 0.502684i \(-0.832346\pi\)
0.682443 + 0.730939i \(0.260917\pi\)
\(54\) 1.09154 2.26661i 0.148540 0.308446i
\(55\) −2.44442 10.7097i −0.329605 1.44409i
\(56\) 9.85049 7.85551i 1.31633 1.04974i
\(57\) −0.834600 + 0.190492i −0.110545 + 0.0252313i
\(58\) −10.4629 21.7264i −1.37384 2.85282i
\(59\) −1.20607 + 1.51237i −0.157018 + 0.196894i −0.854117 0.520080i \(-0.825902\pi\)
0.697100 + 0.716974i \(0.254473\pi\)
\(60\) −1.18356 + 1.48414i −0.152797 + 0.191601i
\(61\) 3.87025 + 0.883358i 0.495534 + 0.113102i 0.462982 0.886368i \(-0.346779\pi\)
0.0325520 + 0.999470i \(0.489637\pi\)
\(62\) −0.565966 1.17524i −0.0718778 0.149256i
\(63\) −1.70377 + 3.53792i −0.214655 + 0.445736i
\(64\) −6.88201 + 30.1521i −0.860251 + 3.76901i
\(65\) 7.83426 + 1.78812i 0.971721 + 0.221789i
\(66\) −1.85319 0.892451i −0.228112 0.109853i
\(67\) 2.25150 1.08427i 0.275065 0.132464i −0.291266 0.956642i \(-0.594077\pi\)
0.566331 + 0.824178i \(0.308362\pi\)
\(68\) −21.0298 8.36883i −2.55023 1.01487i
\(69\) −0.688077 + 0.862821i −0.0828347 + 0.103871i
\(70\) 5.06099 6.34628i 0.604903 0.758525i
\(71\) 4.57165 + 9.49312i 0.542555 + 1.12663i 0.974430 + 0.224693i \(0.0721379\pi\)
−0.431875 + 0.901934i \(0.642148\pi\)
\(72\) −6.32474 27.7105i −0.745378 3.26572i
\(73\) −9.89322 + 7.88958i −1.15791 + 0.923406i −0.997968 0.0637199i \(-0.979704\pi\)
−0.159946 + 0.987126i \(0.551132\pi\)
\(74\) 22.8591 5.21743i 2.65731 0.606514i
\(75\) −0.00361383 + 0.00750419i −0.000417289 + 0.000866509i
\(76\) −19.0486 + 23.8862i −2.18503 + 2.73994i
\(77\) 5.80825 + 2.79711i 0.661911 + 0.318760i
\(78\) 1.17637 0.938128i 0.133198 0.106222i
\(79\) 5.49483i 0.618217i 0.951027 + 0.309108i \(0.100031\pi\)
−0.951027 + 0.309108i \(0.899969\pi\)
\(80\) 34.0720i 3.80936i
\(81\) 5.47899 + 6.87044i 0.608777 + 0.763382i
\(82\) −2.78775 5.78883i −0.307856 0.639269i
\(83\) −3.24809 + 14.2308i −0.356524 + 1.56204i 0.405258 + 0.914202i \(0.367182\pi\)
−0.761782 + 0.647833i \(0.775675\pi\)
\(84\) −0.247893 1.08609i −0.0270473 0.118502i
\(85\) −9.15915 1.42496i −0.993449 0.154558i
\(86\) 8.04074 + 16.0435i 0.867055 + 1.73002i
\(87\) −1.35536 −0.145310
\(88\) −45.4927 + 10.3834i −4.84954 + 1.10688i
\(89\) 0.512165 2.24394i 0.0542894 0.237857i −0.940502 0.339788i \(-0.889645\pi\)
0.994792 + 0.101930i \(0.0325019\pi\)
\(90\) −7.94523 16.4984i −0.837501 1.73909i
\(91\) −3.68698 + 2.94026i −0.386500 + 0.308223i
\(92\) 39.3855i 4.10622i
\(93\) −0.0733154 −0.00760246
\(94\) −4.92329 6.17361i −0.507799 0.636760i
\(95\) −5.42874 + 11.2729i −0.556977 + 1.15657i
\(96\) 2.69102 + 2.14602i 0.274651 + 0.219027i
\(97\) 4.23082 8.78538i 0.429574 0.892020i −0.568041 0.823000i \(-0.692299\pi\)
0.997615 0.0690198i \(-0.0219872\pi\)
\(98\) −3.20280 14.0324i −0.323531 1.41748i
\(99\) 11.3704 9.06759i 1.14277 0.911327i
\(100\) 0.0661444 + 0.289798i 0.00661444 + 0.0289798i
\(101\) 12.0996 5.82684i 1.20395 0.579792i 0.279151 0.960247i \(-0.409947\pi\)
0.924799 + 0.380455i \(0.124233\pi\)
\(102\) −1.27788 + 1.17448i −0.126529 + 0.116291i
\(103\) 7.48600 9.38714i 0.737617 0.924943i −0.261573 0.965184i \(-0.584241\pi\)
0.999190 + 0.0402409i \(0.0128125\pi\)
\(104\) 7.59560 33.2785i 0.744810 3.26323i
\(105\) −0.197951 0.411049i −0.0193180 0.0401143i
\(106\) 5.24060 + 2.52374i 0.509012 + 0.245127i
\(107\) 8.53846 + 1.94885i 0.825444 + 0.188402i 0.614320 0.789057i \(-0.289430\pi\)
0.211124 + 0.977459i \(0.432288\pi\)
\(108\) −4.91977 1.12291i −0.473405 0.108052i
\(109\) −3.99208 + 8.28964i −0.382372 + 0.794004i 0.617600 + 0.786493i \(0.288105\pi\)
−0.999972 + 0.00751114i \(0.997609\pi\)
\(110\) −27.0857 + 13.0438i −2.58252 + 1.24368i
\(111\) 0.293248 1.28480i 0.0278339 0.121948i
\(112\) −15.6330 12.4669i −1.47718 1.17801i
\(113\) 0.571676 + 0.455896i 0.0537787 + 0.0428871i 0.650010 0.759925i \(-0.274765\pi\)
−0.596232 + 0.802812i \(0.703336\pi\)
\(114\) 1.01650 + 2.11078i 0.0952036 + 0.197692i
\(115\) 3.58920 + 15.7253i 0.334695 + 1.46639i
\(116\) −37.8179 + 30.1588i −3.51131 + 2.80017i
\(117\) 2.36731 + 10.3719i 0.218858 + 0.958879i
\(118\) 4.76959 + 2.29691i 0.439076 + 0.211448i
\(119\) 4.00512 3.68103i 0.367149 0.337440i
\(120\) 2.97528 + 1.43282i 0.271605 + 0.130798i
\(121\) −8.02801 10.0668i −0.729819 0.915164i
\(122\) 10.8641i 0.983586i
\(123\) −0.361126 −0.0325616
\(124\) −2.04568 + 1.63137i −0.183707 + 0.146502i
\(125\) −4.82435 10.0179i −0.431503 0.896024i
\(126\) 10.4770 + 2.39131i 0.933365 + 0.213034i
\(127\) −3.51412 15.3964i −0.311828 1.36621i −0.851510 0.524339i \(-0.824313\pi\)
0.539682 0.841869i \(-0.318545\pi\)
\(128\) 39.8853 3.52540
\(129\) 1.00852 0.0159303i 0.0887952 0.00140258i
\(130\) 21.9914i 1.92877i
\(131\) 11.2846 2.57563i 0.985937 0.225034i 0.300991 0.953627i \(-0.402683\pi\)
0.684947 + 0.728593i \(0.259826\pi\)
\(132\) −0.918096 + 4.02244i −0.0799100 + 0.350109i
\(133\) −3.18589 6.61556i −0.276251 0.573642i
\(134\) −4.26402 5.34691i −0.368355 0.461902i
\(135\) −2.06664 −0.177868
\(136\) −6.05295 + 38.9064i −0.519036 + 3.33619i
\(137\) 5.27234 + 6.61131i 0.450446 + 0.564842i 0.954263 0.298969i \(-0.0966426\pi\)
−0.503816 + 0.863811i \(0.668071\pi\)
\(138\) 2.72110 + 1.31041i 0.231635 + 0.111550i
\(139\) −2.61212 2.08309i −0.221557 0.176686i 0.506421 0.862286i \(-0.330968\pi\)
−0.727978 + 0.685601i \(0.759540\pi\)
\(140\) −14.6697 7.06457i −1.23982 0.597065i
\(141\) −0.432690 + 0.0987587i −0.0364391 + 0.00831698i
\(142\) 22.5444 17.9786i 1.89189 1.50873i
\(143\) 17.0276 3.88645i 1.42392 0.325001i
\(144\) −40.6411 + 19.5717i −3.38676 + 1.63098i
\(145\) −12.3511 + 15.4878i −1.02570 + 1.28619i
\(146\) 27.0747 + 21.5914i 2.24072 + 1.78692i
\(147\) −0.788695 0.180015i −0.0650505 0.0148474i
\(148\) −20.4064 42.3743i −1.67739 3.48314i
\(149\) 4.50492 + 2.16946i 0.369057 + 0.177729i 0.609215 0.793005i \(-0.291485\pi\)
−0.240157 + 0.970734i \(0.577199\pi\)
\(150\) 0.0222225 + 0.00507214i 0.00181446 + 0.000414138i
\(151\) 3.15427 13.8198i 0.256691 1.12464i −0.668073 0.744095i \(-0.732881\pi\)
0.924764 0.380541i \(-0.124262\pi\)
\(152\) 47.8851 + 23.0603i 3.88400 + 1.87043i
\(153\) −3.56154 11.7436i −0.287933 0.949412i
\(154\) 3.92584 17.2002i 0.316353 1.38603i
\(155\) −0.668104 + 0.837776i −0.0536634 + 0.0672918i
\(156\) −2.35967 1.88178i −0.188925 0.150663i
\(157\) −10.5715 + 5.09096i −0.843697 + 0.406303i −0.805234 0.592957i \(-0.797960\pi\)
−0.0384631 + 0.999260i \(0.512246\pi\)
\(158\) 14.6606 3.34620i 1.16634 0.266209i
\(159\) 0.255601 0.203835i 0.0202705 0.0161652i
\(160\) 49.0451 11.1942i 3.87736 0.884982i
\(161\) −8.52842 4.10707i −0.672133 0.323682i
\(162\) 14.9943 18.8023i 1.17807 1.47725i
\(163\) −10.2325 + 21.2480i −0.801469 + 1.66427i −0.0553394 + 0.998468i \(0.517624\pi\)
−0.746130 + 0.665800i \(0.768090\pi\)
\(164\) −10.0763 + 8.03557i −0.786825 + 0.627472i
\(165\) 1.68970i 0.131543i
\(166\) 39.9470 3.10049
\(167\) −10.7260 + 8.55367i −0.830000 + 0.661903i −0.943404 0.331646i \(-0.892396\pi\)
0.113404 + 0.993549i \(0.463825\pi\)
\(168\) −1.74606 + 0.840858i −0.134711 + 0.0648736i
\(169\) 0.0497891 0.218140i 0.00382993 0.0167800i
\(170\) 1.77577 + 25.3051i 0.136195 + 1.94081i
\(171\) −16.5647 −1.26674
\(172\) 27.7856 22.8855i 2.11864 1.74500i
\(173\) 12.0849i 0.918796i −0.888230 0.459398i \(-0.848065\pi\)
0.888230 0.459398i \(-0.151935\pi\)
\(174\) 0.825379 + 3.61622i 0.0625718 + 0.274145i
\(175\) −0.0696494 0.0158970i −0.00526500 0.00120170i
\(176\) 32.1312 + 66.7211i 2.42198 + 5.02929i
\(177\) 0.232628 0.185515i 0.0174854 0.0139441i
\(178\) −6.29891 −0.472123
\(179\) 23.0878 1.72566 0.862830 0.505494i \(-0.168690\pi\)
0.862830 + 0.505494i \(0.168690\pi\)
\(180\) −28.7179 + 22.9018i −2.14050 + 1.70700i
\(181\) 2.98114 6.19039i 0.221586 0.460128i −0.760307 0.649564i \(-0.774952\pi\)
0.981893 + 0.189436i \(0.0606658\pi\)
\(182\) 10.0901 + 8.04661i 0.747930 + 0.596454i
\(183\) −0.550149 0.264938i −0.0406682 0.0195848i
\(184\) 66.7983 15.2463i 4.92443 1.12397i
\(185\) −12.0092 15.0590i −0.882932 1.10716i
\(186\) 0.0446470 + 0.195611i 0.00327368 + 0.0143429i
\(187\) −19.2796 + 5.84702i −1.40986 + 0.427577i
\(188\) −9.87557 + 12.3836i −0.720250 + 0.903165i
\(189\) 0.756179 0.948218i 0.0550039 0.0689727i
\(190\) 33.3829 + 7.61944i 2.42185 + 0.552772i
\(191\) 8.12845 3.91446i 0.588154 0.283240i −0.116044 0.993244i \(-0.537021\pi\)
0.704198 + 0.710004i \(0.251307\pi\)
\(192\) 2.06406 4.28606i 0.148961 0.309320i
\(193\) −5.82310 1.32908i −0.419156 0.0956695i 0.00774084 0.999970i \(-0.497536\pi\)
−0.426896 + 0.904300i \(0.640393\pi\)
\(194\) −26.0165 5.93811i −1.86788 0.426331i
\(195\) −1.11363 0.536295i −0.0797485 0.0384049i
\(196\) −26.0121 + 12.5268i −1.85800 + 0.894768i
\(197\) 3.30488 + 0.754317i 0.235463 + 0.0537429i 0.338624 0.940922i \(-0.390039\pi\)
−0.103161 + 0.994665i \(0.532896\pi\)
\(198\) −31.1173 24.8152i −2.21141 1.76354i
\(199\) 19.4904 + 15.5431i 1.38164 + 1.10182i 0.982774 + 0.184809i \(0.0591668\pi\)
0.398864 + 0.917010i \(0.369405\pi\)
\(200\) 0.465896 0.224364i 0.0329438 0.0158649i
\(201\) −0.374749 + 0.0855339i −0.0264327 + 0.00603310i
\(202\) −22.9148 28.7342i −1.61228 2.02173i
\(203\) −2.58689 11.3339i −0.181564 0.795484i
\(204\) 2.86719 + 1.97479i 0.200743 + 0.138263i
\(205\) −3.29085 + 4.12659i −0.229843 + 0.288214i
\(206\) −29.6044 14.2567i −2.06264 0.993314i
\(207\) −16.6955 + 13.3142i −1.16042 + 0.925401i
\(208\) −54.1720 −3.75615
\(209\) 27.1945i 1.88108i
\(210\) −0.976165 + 0.778466i −0.0673618 + 0.0537192i
\(211\) 2.03077 + 4.21694i 0.139804 + 0.290306i 0.959101 0.283063i \(-0.0913504\pi\)
−0.819297 + 0.573369i \(0.805636\pi\)
\(212\) 2.59626 11.3750i 0.178312 0.781235i
\(213\) −0.360641 1.58007i −0.0247107 0.108265i
\(214\) 23.9681i 1.63842i
\(215\) 9.00834 11.6695i 0.614364 0.795856i
\(216\) 8.77868i 0.597314i
\(217\) −0.139932 0.613082i −0.00949921 0.0416187i
\(218\) 24.5485 + 5.60303i 1.66263 + 0.379485i
\(219\) 1.75363 0.844506i 0.118500 0.0570664i
\(220\) 37.5981 + 47.1466i 2.53486 + 3.17862i
\(221\) 2.26558 14.5624i 0.152399 0.979573i
\(222\) −3.60654 −0.242055
\(223\) 0.501051 + 0.628298i 0.0335529 + 0.0420739i 0.798325 0.602227i \(-0.205720\pi\)
−0.764772 + 0.644301i \(0.777148\pi\)
\(224\) −12.8094 + 26.5990i −0.855863 + 1.77722i
\(225\) −0.100485 + 0.126004i −0.00669900 + 0.00840028i
\(226\) 0.868233 1.80290i 0.0577540 0.119927i
\(227\) 12.0778 2.75668i 0.801631 0.182967i 0.197970 0.980208i \(-0.436565\pi\)
0.603661 + 0.797241i \(0.293708\pi\)
\(228\) 3.67411 2.93000i 0.243324 0.194044i
\(229\) 2.54660 + 11.1574i 0.168284 + 0.737299i 0.986684 + 0.162650i \(0.0520043\pi\)
−0.818400 + 0.574649i \(0.805139\pi\)
\(230\) 39.7707 19.1526i 2.62240 1.26288i
\(231\) −0.775270 0.618257i −0.0510090 0.0406783i
\(232\) 65.7892 + 52.4651i 4.31927 + 3.44450i
\(233\) −4.61763 1.05394i −0.302511 0.0690462i 0.0685709 0.997646i \(-0.478156\pi\)
−0.371082 + 0.928600i \(0.621013\pi\)
\(234\) 26.2313 12.6323i 1.71480 0.825802i
\(235\) −2.81447 + 5.84432i −0.183596 + 0.381241i
\(236\) 2.36292 10.3526i 0.153813 0.673898i
\(237\) 0.188074 0.824007i 0.0122167 0.0535250i
\(238\) −12.2603 8.44434i −0.794717 0.547365i
\(239\) 20.9134 10.0714i 1.35278 0.651463i 0.389763 0.920915i \(-0.372557\pi\)
0.963014 + 0.269453i \(0.0868427\pi\)
\(240\) 1.16620 5.10945i 0.0752778 0.329814i
\(241\) −12.7266 10.1491i −0.819791 0.653762i 0.121036 0.992648i \(-0.461378\pi\)
−0.940827 + 0.338886i \(0.889950\pi\)
\(242\) −21.9702 + 27.5498i −1.41230 + 1.77097i
\(243\) −1.78303 3.70251i −0.114382 0.237516i
\(244\) −21.2457 + 4.84919i −1.36012 + 0.310438i
\(245\) −9.24420 + 7.37201i −0.590590 + 0.470980i
\(246\) 0.219916 + 0.963513i 0.0140213 + 0.0614314i
\(247\) −17.9231 8.63131i −1.14042 0.549197i
\(248\) 3.55872 + 2.83798i 0.225979 + 0.180212i
\(249\) 0.974171 2.02289i 0.0617356 0.128195i
\(250\) −23.7906 + 18.9723i −1.50465 + 1.19992i
\(251\) 0.575152 0.0363032 0.0181516 0.999835i \(-0.494222\pi\)
0.0181516 + 0.999835i \(0.494222\pi\)
\(252\) 21.5561i 1.35791i
\(253\) 21.8581 + 27.4092i 1.37421 + 1.72320i
\(254\) −38.9388 + 18.7519i −2.44324 + 1.17660i
\(255\) 1.32474 + 0.527182i 0.0829583 + 0.0330134i
\(256\) −10.5250 46.1131i −0.657813 2.88207i
\(257\) 5.92078 0.369328 0.184664 0.982802i \(-0.440880\pi\)
0.184664 + 0.982802i \(0.440880\pi\)
\(258\) −0.656664 2.68111i −0.0408821 0.166919i
\(259\) 11.3036 0.702369
\(260\) −43.0062 + 9.81588i −2.66713 + 0.608755i
\(261\) −25.5686 5.83586i −1.58266 0.361231i
\(262\) −13.7440 28.5397i −0.849105 1.76319i
\(263\) −2.28681 2.86757i −0.141011 0.176822i 0.706311 0.707902i \(-0.250358\pi\)
−0.847322 + 0.531079i \(0.821787\pi\)
\(264\) 7.17751 0.441745
\(265\) 4.77825i 0.293525i
\(266\) −15.7107 + 12.5289i −0.963287 + 0.768196i
\(267\) −0.153609 + 0.318973i −0.00940072 + 0.0195208i
\(268\) −8.55313 + 10.7253i −0.522466 + 0.655151i
\(269\) −13.1163 + 27.2362i −0.799713 + 1.66062i −0.0501006 + 0.998744i \(0.515954\pi\)
−0.749612 + 0.661877i \(0.769760\pi\)
\(270\) 1.25852 + 5.51395i 0.0765913 + 0.335568i
\(271\) 12.4566 + 15.6200i 0.756683 + 0.948850i 0.999776 0.0211529i \(-0.00673369\pi\)
−0.243094 + 0.970003i \(0.578162\pi\)
\(272\) 62.3349 4.37430i 3.77961 0.265231i
\(273\) 0.653539 0.314728i 0.0395540 0.0190482i
\(274\) 14.4288 18.0931i 0.871675 1.09305i
\(275\) 0.206863 + 0.164968i 0.0124743 + 0.00994793i
\(276\) 1.34807 5.90627i 0.0811441 0.355515i
\(277\) −4.39281 9.12177i −0.263938 0.548074i 0.726313 0.687364i \(-0.241232\pi\)
−0.990252 + 0.139290i \(0.955518\pi\)
\(278\) −3.96715 + 8.23788i −0.237934 + 0.494075i
\(279\) −1.38308 0.315678i −0.0828026 0.0188992i
\(280\) −6.30289 + 27.6148i −0.376670 + 1.65030i
\(281\) −29.4096 14.1629i −1.75443 0.844888i −0.976189 0.216921i \(-0.930399\pi\)
−0.778240 0.627967i \(-0.783887\pi\)
\(282\) 0.526992 + 1.09431i 0.0313819 + 0.0651653i
\(283\) −9.27883 2.11783i −0.551569 0.125892i −0.0623524 0.998054i \(-0.519860\pi\)
−0.489217 + 0.872162i \(0.662717\pi\)
\(284\) −45.2215 36.0630i −2.68340 2.13994i
\(285\) 1.19994 1.50468i 0.0710783 0.0891293i
\(286\) −20.7387 43.0644i −1.22631 2.54645i
\(287\) −0.689256 3.01983i −0.0406855 0.178255i
\(288\) 41.5252 + 52.0709i 2.44689 + 3.06831i
\(289\) −1.43108 + 16.9397i −0.0841809 + 0.996450i
\(290\) 48.8441 + 23.5221i 2.86822 + 1.38126i
\(291\) −0.935157 + 1.17265i −0.0548199 + 0.0687419i
\(292\) 30.1391 62.5846i 1.76376 3.66248i
\(293\) 16.0866 + 20.1719i 0.939787 + 1.17846i 0.983772 + 0.179424i \(0.0574233\pi\)
−0.0439847 + 0.999032i \(0.514005\pi\)
\(294\) 2.21393i 0.129119i
\(295\) 4.34879i 0.253197i
\(296\) −63.9679 + 51.0127i −3.71806 + 2.96505i
\(297\) −4.04697 + 1.94892i −0.234829 + 0.113088i
\(298\) 3.04491 13.3406i 0.176387 0.772802i
\(299\) −25.0022 + 5.70658i −1.44591 + 0.330020i
\(300\) 0.0457222i 0.00263977i
\(301\) 2.05810 + 8.40310i 0.118627 + 0.484346i
\(302\) −38.7931 −2.23229
\(303\) −2.01389 + 0.459658i −0.115695 + 0.0264067i
\(304\) 18.7692 82.2332i 1.07649 4.71640i
\(305\) −8.04081 + 3.87225i −0.460415 + 0.221724i
\(306\) −29.1639 + 16.6540i −1.66719 + 0.952045i
\(307\) 23.6515 1.34986 0.674930 0.737881i \(-0.264174\pi\)
0.674930 + 0.737881i \(0.264174\pi\)
\(308\) −35.3890 −2.01647
\(309\) −1.44390 + 1.15147i −0.0821408 + 0.0655051i
\(310\) 2.64211 + 1.27237i 0.150062 + 0.0722660i
\(311\) 6.69657 + 5.34033i 0.379727 + 0.302823i 0.794689 0.607016i \(-0.207634\pi\)
−0.414962 + 0.909839i \(0.636205\pi\)
\(312\) −2.27808 + 4.73048i −0.128971 + 0.267811i
\(313\) −24.6773 + 5.63244i −1.39484 + 0.318364i −0.852911 0.522057i \(-0.825165\pi\)
−0.541934 + 0.840421i \(0.682308\pi\)
\(314\) 20.0208 + 25.1053i 1.12984 + 1.41678i
\(315\) −1.96441 8.60666i −0.110682 0.484930i
\(316\) −13.0876 27.1767i −0.736235 1.52881i
\(317\) 3.96118 + 3.15894i 0.222482 + 0.177424i 0.728388 0.685165i \(-0.240270\pi\)
−0.505905 + 0.862589i \(0.668841\pi\)
\(318\) −0.699501 0.557834i −0.0392261 0.0312818i
\(319\) −9.58082 + 41.9763i −0.536423 + 2.35022i
\(320\) −30.1677 62.6438i −1.68642 3.50190i
\(321\) −1.21373 0.584500i −0.0677437 0.0326236i
\(322\) −5.76442 + 25.2556i −0.321239 + 1.40744i
\(323\) 21.3208 + 8.48465i 1.18632 + 0.472098i
\(324\) −43.4624 20.9304i −2.41458 1.16280i
\(325\) −0.174382 + 0.0839778i −0.00967296 + 0.00465825i
\(326\) 62.9225 + 14.3617i 3.48496 + 0.795419i
\(327\) 0.882388 1.10648i 0.0487962 0.0611885i
\(328\) 17.5290 + 13.9789i 0.967877 + 0.771856i
\(329\) −1.65169 3.42977i −0.0910607 0.189089i
\(330\) 4.50824 1.02898i 0.248171 0.0566433i
\(331\) 1.48611 + 1.86352i 0.0816839 + 0.102428i 0.820994 0.570936i \(-0.193420\pi\)
−0.739310 + 0.673365i \(0.764848\pi\)
\(332\) −17.8304 78.1201i −0.978570 4.28740i
\(333\) 11.0641 22.9748i 0.606308 1.25901i
\(334\) 29.3537 + 23.4088i 1.60616 + 1.28087i
\(335\) −2.43759 + 5.06171i −0.133180 + 0.276550i
\(336\) 1.91762 + 2.40462i 0.104615 + 0.131183i
\(337\) 5.37880i 0.293002i −0.989211 0.146501i \(-0.953199\pi\)
0.989211 0.146501i \(-0.0468011\pi\)
\(338\) −0.612336 −0.0333067
\(339\) −0.0701246 0.0879335i −0.00380864 0.00477589i
\(340\) 48.6939 14.7677i 2.64080 0.800889i
\(341\) −0.518253 + 2.27061i −0.0280650 + 0.122961i
\(342\) 10.0874 + 44.1960i 0.545467 + 2.38985i
\(343\) 16.1742i 0.873325i
\(344\) −49.5700 38.2658i −2.67264 2.06315i
\(345\) 2.48103i 0.133574i
\(346\) −32.2434 + 7.35935i −1.73342 + 0.395641i
\(347\) 14.7824 + 3.37399i 0.793561 + 0.181125i 0.600039 0.799971i \(-0.295152\pi\)
0.193522 + 0.981096i \(0.438009\pi\)
\(348\) 6.70345 3.22821i 0.359343 0.173050i
\(349\) −14.3231 17.9606i −0.766700 0.961412i 0.233239 0.972419i \(-0.425067\pi\)
−0.999939 + 0.0110079i \(0.996496\pi\)
\(350\) 0.195511i 0.0104505i
\(351\) 3.28580i 0.175383i
\(352\) 85.4855 68.1724i 4.55639 3.63360i
\(353\) 11.9712 + 5.76504i 0.637165 + 0.306842i 0.724436 0.689342i \(-0.242100\pi\)
−0.0872712 + 0.996185i \(0.527815\pi\)
\(354\) −0.636633 0.507698i −0.0338366 0.0269838i
\(355\) −21.3419 10.2777i −1.13271 0.545485i
\(356\) 2.81153 + 12.3181i 0.149011 + 0.652859i
\(357\) −0.726603 + 0.414924i −0.0384559 + 0.0219601i
\(358\) −14.0598 61.6000i −0.743084 3.25566i
\(359\) −11.4793 + 5.52816i −0.605857 + 0.291765i −0.711552 0.702633i \(-0.752007\pi\)
0.105695 + 0.994399i \(0.466293\pi\)
\(360\) 49.9585 + 39.8406i 2.63304 + 2.09978i
\(361\) 7.46592 9.36197i 0.392943 0.492735i
\(362\) −18.3319 4.18413i −0.963503 0.219913i
\(363\) 0.859322 + 1.78440i 0.0451027 + 0.0936568i
\(364\) 11.2322 23.3238i 0.588725 1.22250i
\(365\) 6.33023 27.7346i 0.331339 1.45169i
\(366\) −0.371850 + 1.62918i −0.0194369 + 0.0851587i
\(367\) −9.92362 + 20.6066i −0.518009 + 1.07566i 0.463827 + 0.885926i \(0.346476\pi\)
−0.981836 + 0.189731i \(0.939238\pi\)
\(368\) −47.1791 97.9685i −2.45938 5.10696i
\(369\) −6.81255 1.55492i −0.354647 0.0809459i
\(370\) −32.8654 + 41.2120i −1.70859 + 2.14251i
\(371\) 2.19237 + 1.74835i 0.113822 + 0.0907700i
\(372\) 0.362608 0.174623i 0.0188004 0.00905378i
\(373\) −2.00480 8.78359i −0.103804 0.454797i −0.999939 0.0110151i \(-0.996494\pi\)
0.896135 0.443782i \(-0.146363\pi\)
\(374\) 27.3411 + 47.8788i 1.41377 + 2.47576i
\(375\) 0.380575 + 1.66741i 0.0196528 + 0.0861046i
\(376\) 24.8256 + 11.9554i 1.28028 + 0.616551i
\(377\) −24.6245 19.6373i −1.26822 1.01137i
\(378\) −2.99041 1.44011i −0.153810 0.0740711i
\(379\) 9.33579 7.44504i 0.479547 0.382426i −0.353672 0.935370i \(-0.615067\pi\)
0.833219 + 0.552944i \(0.186496\pi\)
\(380\) 68.6844i 3.52344i
\(381\) 2.42913i 0.124448i
\(382\) −15.3941 19.3036i −0.787630 0.987656i
\(383\) 14.6546 7.05727i 0.748814 0.360610i −0.0202390 0.999795i \(-0.506443\pi\)
0.769053 + 0.639186i \(0.220728\pi\)
\(384\) −5.98122 1.36517i −0.305228 0.0696663i
\(385\) −14.1297 + 3.22500i −0.720115 + 0.164361i
\(386\) 16.3459i 0.831983i
\(387\) 19.0941 + 4.04192i 0.970605 + 0.205462i
\(388\) 53.5283i 2.71749i
\(389\) −3.67317 16.0932i −0.186237 0.815957i −0.978578 0.205878i \(-0.933995\pi\)
0.792341 0.610079i \(-0.208862\pi\)
\(390\) −0.752710 + 3.29784i −0.0381149 + 0.166992i
\(391\) 28.3088 8.58535i 1.43164 0.434180i
\(392\) 31.3149 + 39.2677i 1.58164 + 1.98332i
\(393\) −1.78040 −0.0898092
\(394\) 9.27704i 0.467371i
\(395\) −7.70207 9.65809i −0.387533 0.485951i
\(396\) −34.6393 + 71.9292i −1.74069 + 3.61458i
\(397\) 15.2117 + 12.1309i 0.763455 + 0.608835i 0.925850 0.377891i \(-0.123351\pi\)
−0.162395 + 0.986726i \(0.551922\pi\)
\(398\) 29.6011 61.4673i 1.48377 3.08108i
\(399\) 0.251323 + 1.10112i 0.0125819 + 0.0551248i
\(400\) −0.511673 0.641617i −0.0255836 0.0320809i
\(401\) 1.49193 0.340522i 0.0745032 0.0170049i −0.185107 0.982718i \(-0.559263\pi\)
0.259610 + 0.965714i \(0.416406\pi\)
\(402\) 0.456423 + 0.947772i 0.0227643 + 0.0472706i
\(403\) −1.33200 1.06224i −0.0663519 0.0529139i
\(404\) −45.9644 + 57.6376i −2.28682 + 2.86758i
\(405\) −19.2605 4.39609i −0.957063 0.218443i
\(406\) −28.6644 + 13.8041i −1.42259 + 0.685084i
\(407\) −37.7181 18.1641i −1.86962 0.900360i
\(408\) 2.23937 5.62724i 0.110865 0.278590i
\(409\) 6.62451 29.0239i 0.327561 1.43514i −0.496203 0.868206i \(-0.665273\pi\)
0.823764 0.566932i \(-0.191870\pi\)
\(410\) 13.0141 + 6.26727i 0.642721 + 0.309518i
\(411\) −0.564354 1.17189i −0.0278376 0.0578053i
\(412\) −14.6664 + 64.2578i −0.722562 + 3.16575i
\(413\) 1.99532 + 1.59122i 0.0981834 + 0.0782987i
\(414\) 45.6904 + 36.4369i 2.24556 + 1.79078i
\(415\) −14.2382 29.5659i −0.698925 1.45133i
\(416\) 17.7980 + 77.9783i 0.872620 + 3.82320i
\(417\) 0.320415 + 0.401788i 0.0156908 + 0.0196756i
\(418\) 72.5572 16.5607i 3.54889 0.810011i
\(419\) −8.91746 + 18.5173i −0.435646 + 0.904629i 0.561379 + 0.827559i \(0.310271\pi\)
−0.997026 + 0.0770705i \(0.975443\pi\)
\(420\) 1.95808 + 1.56151i 0.0955444 + 0.0761941i
\(421\) −3.42143 1.64767i −0.166750 0.0803027i 0.348647 0.937254i \(-0.386641\pi\)
−0.515397 + 0.856951i \(0.672356\pi\)
\(422\) 10.0145 7.98627i 0.487496 0.388765i
\(423\) −8.58781 −0.417554
\(424\) −20.2971 −0.985715
\(425\) 0.193877 0.110713i 0.00940442 0.00537037i
\(426\) −3.99613 + 1.92444i −0.193613 + 0.0932393i
\(427\) 1.16545 5.10615i 0.0563999 0.247104i
\(428\) −46.8719 + 10.6982i −2.26564 + 0.517117i
\(429\) −2.68650 −0.129705
\(430\) −36.6211 16.9286i −1.76603 0.816368i
\(431\) 0.00749674i 0.000361105i −1.00000 0.000180553i \(-0.999943\pi\)
1.00000 0.000180553i \(-5.74717e-5\pi\)
\(432\) 13.5827 3.10016i 0.653497 0.149156i
\(433\) 0.748983 3.28151i 0.0359938 0.157699i −0.953737 0.300642i \(-0.902799\pi\)
0.989731 + 0.142942i \(0.0456563\pi\)
\(434\) −1.55054 + 0.746700i −0.0744282 + 0.0358427i
\(435\) 2.38228 1.89981i 0.114222 0.0910888i
\(436\) 50.5078i 2.41889i
\(437\) 39.9305i 1.91013i
\(438\) −3.32112 4.16456i −0.158689 0.198990i
\(439\) −11.1981 + 23.2531i −0.534455 + 1.10981i 0.442580 + 0.896729i \(0.354063\pi\)
−0.977035 + 0.213079i \(0.931651\pi\)
\(440\) 65.4068 82.0175i 3.11815 3.91003i
\(441\) −14.1034 6.79185i −0.671592 0.323422i
\(442\) −40.2333 + 2.82334i −1.91370 + 0.134293i
\(443\) 9.42222 + 11.8151i 0.447663 + 0.561352i 0.953545 0.301251i \(-0.0974042\pi\)
−0.505882 + 0.862603i \(0.668833\pi\)
\(444\) 1.60978 + 7.05293i 0.0763970 + 0.334717i
\(445\) 2.24510 + 4.66201i 0.106428 + 0.221000i
\(446\) 1.37122 1.71946i 0.0649293 0.0814188i
\(447\) −0.601305 0.479525i −0.0284408 0.0226808i
\(448\) 39.7807 + 9.07968i 1.87946 + 0.428975i
\(449\) −8.03625 16.6874i −0.379254 0.787529i −0.999994 0.00351250i \(-0.998882\pi\)
0.620740 0.784017i \(-0.286832\pi\)
\(450\) 0.397382 + 0.191369i 0.0187328 + 0.00902123i
\(451\) −2.55273 + 11.1843i −0.120203 + 0.526646i
\(452\) −3.91329 0.893182i −0.184066 0.0420118i
\(453\) −0.946032 + 1.96446i −0.0444485 + 0.0922982i
\(454\) −14.7101 30.5458i −0.690377 1.43358i
\(455\) 2.35913 10.3360i 0.110598 0.484560i
\(456\) −6.39159 5.09712i −0.299313 0.238694i
\(457\) 4.87805 6.11688i 0.228185 0.286136i −0.654537 0.756030i \(-0.727137\pi\)
0.882723 + 0.469894i \(0.155708\pi\)
\(458\) 28.2179 13.5890i 1.31854 0.634974i
\(459\) 0.265323 + 3.78092i 0.0123842 + 0.176478i
\(460\) −55.2064 69.2266i −2.57401 3.22771i
\(461\) 1.18253 + 5.18102i 0.0550760 + 0.241304i 0.994972 0.100158i \(-0.0319350\pi\)
−0.939895 + 0.341462i \(0.889078\pi\)
\(462\) −1.17744 + 2.44498i −0.0547796 + 0.113751i
\(463\) −13.4438 + 16.8580i −0.624785 + 0.783456i −0.989009 0.147856i \(-0.952763\pi\)
0.364224 + 0.931311i \(0.381334\pi\)
\(464\) 57.9426 120.319i 2.68992 5.58568i
\(465\) 0.128864 0.102766i 0.00597594 0.00476565i
\(466\) 12.9620i 0.600455i
\(467\) 5.75978 0.266531 0.133265 0.991080i \(-0.457454\pi\)
0.133265 + 0.991080i \(0.457454\pi\)
\(468\) −36.4122 45.6594i −1.68315 2.11061i
\(469\) −1.43051 2.97049i −0.0660549 0.137165i
\(470\) 17.3070 + 3.95022i 0.798314 + 0.182210i
\(471\) 1.75956 0.401608i 0.0810762 0.0185051i
\(472\) −18.4729 −0.850283
\(473\) 6.63567 31.3470i 0.305108 1.44134i
\(474\) −2.31305 −0.106242
\(475\) −0.0670597 0.293808i −0.00307691 0.0134808i
\(476\) −11.0413 + 27.7453i −0.506077 + 1.27170i
\(477\) 5.69950 2.74474i 0.260962 0.125673i
\(478\) −39.6069 49.6655i −1.81158 2.27165i
\(479\) 4.11661i 0.188093i 0.995568 + 0.0940465i \(0.0299802\pi\)
−0.995568 + 0.0940465i \(0.970020\pi\)
\(480\) −7.73799 −0.353189
\(481\) 23.9428 19.0937i 1.09170 0.870599i
\(482\) −19.3285 + 40.1361i −0.880390 + 1.82815i
\(483\) 1.13835 + 0.907805i 0.0517968 + 0.0413065i
\(484\) 63.6826 + 30.6679i 2.89466 + 1.39400i
\(485\) 4.87804 + 21.3721i 0.221501 + 0.970457i
\(486\) −8.79277 + 7.01200i −0.398848 + 0.318071i
\(487\) −6.63987 + 1.51551i −0.300881 + 0.0686742i −0.370296 0.928914i \(-0.620744\pi\)
0.0694150 + 0.997588i \(0.477887\pi\)
\(488\) 16.4486 + 34.1559i 0.744593 + 1.54616i
\(489\) 2.26173 2.83612i 0.102279 0.128254i
\(490\) 25.2986 + 20.1749i 1.14287 + 0.911411i
\(491\) −8.24215 + 36.1112i −0.371963 + 1.62968i 0.349296 + 0.937012i \(0.386421\pi\)
−0.721259 + 0.692665i \(0.756436\pi\)
\(492\) 1.78608 0.860132i 0.0805228 0.0387777i
\(493\) 29.9206 + 20.6080i 1.34756 + 0.928137i
\(494\) −12.1144 + 53.0765i −0.545051 + 2.38802i
\(495\) −7.27541 + 31.8757i −0.327005 + 1.43270i
\(496\) 3.13428 6.50840i 0.140733 0.292236i
\(497\) 12.5246 6.03154i 0.561806 0.270551i
\(498\) −5.99047 1.36729i −0.268439 0.0612695i
\(499\) −9.56588 7.62853i −0.428228 0.341500i 0.385539 0.922691i \(-0.374015\pi\)
−0.813767 + 0.581191i \(0.802587\pi\)
\(500\) 47.7212 + 38.0564i 2.13415 + 1.70193i
\(501\) 1.90124 0.915590i 0.0849412 0.0409055i
\(502\) −0.350251 1.53455i −0.0156325 0.0684904i
\(503\) −2.29982 + 1.83404i −0.102544 + 0.0817759i −0.673420 0.739261i \(-0.735175\pi\)
0.570876 + 0.821036i \(0.306604\pi\)
\(504\) −36.5595 + 8.34446i −1.62849 + 0.371692i
\(505\) −13.0996 + 27.2015i −0.582923 + 1.21045i
\(506\) 59.8190 75.0106i 2.65928 3.33463i
\(507\) −0.0149328 + 0.0310083i −0.000663189 + 0.00137713i
\(508\) 54.0516 + 67.7785i 2.39815 + 3.00719i
\(509\) −36.3334 −1.61045 −0.805224 0.592970i \(-0.797955\pi\)
−0.805224 + 0.592970i \(0.797955\pi\)
\(510\) 0.599836 3.85555i 0.0265612 0.170727i
\(511\) 10.4090 + 13.0525i 0.460467 + 0.577408i
\(512\) −44.7532 + 21.5520i −1.97783 + 0.952472i
\(513\) 4.98785 + 1.13845i 0.220219 + 0.0502636i
\(514\) −3.60559 15.7971i −0.159036 0.696781i
\(515\) 26.9926i 1.18944i
\(516\) −4.95006 + 2.48089i −0.217914 + 0.109215i
\(517\) 14.0987i 0.620062i
\(518\) −6.88355 30.1588i −0.302446 1.32510i
\(519\) −0.413635 + 1.81226i −0.0181566 + 0.0795492i
\(520\) 33.2957 + 69.1393i 1.46011 + 3.03196i
\(521\) 6.89960 5.50225i 0.302277 0.241058i −0.460590 0.887613i \(-0.652362\pi\)
0.762867 + 0.646555i \(0.223791\pi\)
\(522\) 71.7729i 3.14142i
\(523\) 7.28641 0.318613 0.159306 0.987229i \(-0.449074\pi\)
0.159306 + 0.987229i \(0.449074\pi\)
\(524\) −49.6773 + 39.6164i −2.17016 + 1.73065i
\(525\) 0.00990054 + 0.00476785i 0.000432095 + 0.000208086i
\(526\) −6.25831 + 7.84768i −0.272875 + 0.342175i
\(527\) 1.61849 + 1.11474i 0.0705026 + 0.0485590i
\(528\) −2.53471 11.1053i −0.110309 0.483296i
\(529\) −17.7546 22.2636i −0.771940 0.967982i
\(530\) −12.7487 + 2.90982i −0.553770 + 0.126394i
\(531\) 5.18725 2.49805i 0.225107 0.108406i
\(532\) 31.5139 + 25.1315i 1.36630 + 1.08959i
\(533\) −6.56099 5.23221i −0.284188 0.226632i
\(534\) 0.944588 + 0.215596i 0.0408763 + 0.00932975i
\(535\) −17.7395 + 8.54288i −0.766944 + 0.369341i
\(536\) 21.5012 + 10.3544i 0.928710 + 0.447243i
\(537\) −3.46225 0.790237i −0.149407 0.0341012i
\(538\) 80.6558 + 18.4092i 3.47732 + 0.793676i
\(539\) −11.1503 + 23.1538i −0.480277 + 0.997305i
\(540\) 10.2213 4.92232i 0.439855 0.211823i
\(541\) 15.9724 + 3.64560i 0.686707 + 0.156736i 0.551618 0.834097i \(-0.314011\pi\)
0.135089 + 0.990833i \(0.456868\pi\)
\(542\) 34.0898 42.7473i 1.46428 1.83615i
\(543\) −0.658934 + 0.826278i −0.0282776 + 0.0354590i
\(544\) −26.7765 88.2912i −1.14803 3.78545i
\(545\) −4.60279 20.1661i −0.197162 0.863822i
\(546\) −1.23771 1.55203i −0.0529689 0.0664209i
\(547\) −10.8713 + 2.48130i −0.464823 + 0.106093i −0.448517 0.893774i \(-0.648048\pi\)
−0.0163060 + 0.999867i \(0.505191\pi\)
\(548\) −41.8231 20.1410i −1.78660 0.860379i
\(549\) −9.23766 7.36678i −0.394254 0.314407i
\(550\) 0.314173 0.652388i 0.0133964 0.0278179i
\(551\) 38.3413 30.5761i 1.63339 1.30259i
\(552\) −10.5389 −0.448567
\(553\) 7.24952 0.308281
\(554\) −21.6625 + 17.2753i −0.920352 + 0.733956i
\(555\) 1.28547 + 2.66930i 0.0545651 + 0.113306i
\(556\) 17.8807 + 4.08115i 0.758311 + 0.173079i
\(557\) 4.31288 + 18.8960i 0.182743 + 0.800648i 0.980317 + 0.197428i \(0.0632589\pi\)
−0.797575 + 0.603220i \(0.793884\pi\)
\(558\) 3.88240i 0.164355i
\(559\) 18.5537 + 14.3226i 0.784739 + 0.605782i
\(560\) 44.9524 1.89958
\(561\) 3.09131 0.216930i 0.130515 0.00915880i
\(562\) −19.8782 + 87.0920i −0.838510 + 3.67375i
\(563\) −32.2141 + 15.5135i −1.35766 + 0.653816i −0.964114 0.265487i \(-0.914467\pi\)
−0.393549 + 0.919304i \(0.628753\pi\)
\(564\) 1.90480 1.51903i 0.0802067 0.0639627i
\(565\) −1.64384 −0.0691570
\(566\) 26.0464i 1.09481i
\(567\) 9.06442 7.22863i 0.380670 0.303574i
\(568\) −43.6578 + 90.6564i −1.83184 + 3.80386i
\(569\) 12.0463 15.1056i 0.505008 0.633260i −0.462343 0.886701i \(-0.652991\pi\)
0.967351 + 0.253441i \(0.0815625\pi\)
\(570\) −4.74533 2.28523i −0.198760 0.0957177i
\(571\) 16.5250 3.77172i 0.691549 0.157842i 0.137719 0.990471i \(-0.456023\pi\)
0.553830 + 0.832630i \(0.313166\pi\)
\(572\) −74.9597 + 59.7783i −3.13422 + 2.49946i
\(573\) −1.35293 + 0.308797i −0.0565194 + 0.0129002i
\(574\) −7.63741 + 3.67798i −0.318779 + 0.153516i
\(575\) −0.303743 0.242227i −0.0126669 0.0101016i
\(576\) 57.3927 71.9681i 2.39136 2.99867i
\(577\) 0.184889 0.810052i 0.00769703 0.0337229i −0.970934 0.239349i \(-0.923066\pi\)
0.978631 + 0.205626i \(0.0659231\pi\)
\(578\) 46.0679 6.49755i 1.91617 0.270262i
\(579\) 0.827743 + 0.398620i 0.0343998 + 0.0165661i
\(580\) 24.1980 106.018i 1.00477 4.40217i
\(581\) 18.7752 + 4.28532i 0.778928 + 0.177785i
\(582\) 3.69821 + 1.78096i 0.153296 + 0.0738233i
\(583\) −4.50607 9.35695i −0.186622 0.387525i
\(584\) −117.811 26.8896i −4.87506 1.11270i
\(585\) −18.6991 14.9121i −0.773114 0.616538i
\(586\) 44.0240 55.2044i 1.81862 2.28047i
\(587\) −16.4693 + 7.93119i −0.679761 + 0.327355i −0.741707 0.670724i \(-0.765983\pi\)
0.0619465 + 0.998079i \(0.480269\pi\)
\(588\) 4.32954 0.988190i 0.178547 0.0407523i
\(589\) 2.07398 1.65395i 0.0854571 0.0681497i
\(590\) −11.6029 + 2.64829i −0.477685 + 0.109029i
\(591\) −0.469783 0.226236i −0.0193243 0.00930609i
\(592\) 101.519 + 80.9585i 4.17239 + 3.32737i
\(593\) −17.1178 8.24350i −0.702944 0.338520i 0.0480352 0.998846i \(-0.484704\pi\)
−0.750980 + 0.660325i \(0.770418\pi\)
\(594\) 7.66435 + 9.61080i 0.314472 + 0.394336i
\(595\) −1.88000 + 12.0840i −0.0770723 + 0.495395i
\(596\) −27.4480 −1.12431
\(597\) −2.39079 2.99796i −0.0978485 0.122698i
\(598\) 30.4512 + 63.2326i 1.24524 + 2.58577i
\(599\) 2.15412 9.43783i 0.0880151 0.385619i −0.911664 0.410936i \(-0.865202\pi\)
0.999679 + 0.0253162i \(0.00805925\pi\)
\(600\) −0.0775454 + 0.0176992i −0.00316578 + 0.000722568i
\(601\) 23.4438i 0.956291i −0.878281 0.478146i \(-0.841309\pi\)
0.878281 0.478146i \(-0.158691\pi\)
\(602\) 21.1668 10.6084i 0.862695 0.432368i
\(603\) −7.43782 −0.302891
\(604\) 17.3154 + 75.8636i 0.704552 + 3.08684i
\(605\) 28.2212 + 6.44129i 1.14735 + 0.261876i
\(606\) 2.45281 + 5.09331i 0.0996386 + 0.206902i
\(607\) 0.567607 0.452651i 0.0230385 0.0183726i −0.611903 0.790933i \(-0.709596\pi\)
0.634941 + 0.772560i \(0.281024\pi\)
\(608\) −124.538 −5.05067
\(609\) 1.78818i 0.0724608i
\(610\) 15.2281 + 19.0954i 0.616568 + 0.773152i
\(611\) −9.29205 4.47481i −0.375916 0.181032i
\(612\) 45.5858 + 49.5993i 1.84270 + 2.00493i
\(613\) −7.06831 3.40392i −0.285486 0.137483i 0.285661 0.958331i \(-0.407787\pi\)
−0.571147 + 0.820848i \(0.693501\pi\)
\(614\) −14.4031 63.1040i −0.581261 2.54667i
\(615\) 0.634740 0.506188i 0.0255952 0.0204115i
\(616\) 13.6992 + 60.0202i 0.551957 + 2.41828i
\(617\) −5.56776 11.5616i −0.224150 0.465452i 0.758318 0.651885i \(-0.226021\pi\)
−0.982468 + 0.186433i \(0.940307\pi\)
\(618\) 3.95152 + 3.15123i 0.158954 + 0.126761i
\(619\) 17.2428 + 13.7507i 0.693048 + 0.552687i 0.905428 0.424500i \(-0.139550\pi\)
−0.212380 + 0.977187i \(0.568122\pi\)
\(620\) 1.30894 5.73483i 0.0525682 0.230316i
\(621\) 5.94228 2.86165i 0.238455 0.114834i
\(622\) 10.1704 21.1191i 0.407797 0.846798i
\(623\) −2.96051 0.675718i −0.118610 0.0270721i
\(624\) 8.12366 + 1.85417i 0.325207 + 0.0742263i
\(625\) 22.7655 + 10.9633i 0.910620 + 0.438532i
\(626\) 30.0556 + 62.4111i 1.20126 + 2.49445i
\(627\) 0.930801 4.07811i 0.0371726 0.162864i
\(628\) 40.1595 50.3585i 1.60254 2.00952i
\(629\) −26.0088 + 23.9042i −1.03704 + 0.953122i
\(630\) −21.7670 + 10.4824i −0.867217 + 0.417630i
\(631\) 5.95270 + 26.0805i 0.236973 + 1.03825i 0.943711 + 0.330772i \(0.107309\pi\)
−0.706738 + 0.707476i \(0.749834\pi\)
\(632\) −41.0258 + 32.7170i −1.63192 + 1.30141i
\(633\) −0.160200 0.701883i −0.00636739 0.0278974i
\(634\) 6.01605 12.4925i 0.238928 0.496139i
\(635\) 27.7577 + 22.1360i 1.10153 + 0.878441i
\(636\) −0.778673 + 1.61693i −0.0308764 + 0.0641155i
\(637\) −11.7210 14.6976i −0.464402 0.582341i
\(638\) 117.831 4.66496
\(639\) 31.3604i 1.24060i
\(640\) −70.1052 + 55.9070i −2.77115 + 2.20992i
\(641\) −2.99911 6.22771i −0.118458 0.245980i 0.833306 0.552812i \(-0.186445\pi\)
−0.951764 + 0.306832i \(0.900731\pi\)
\(642\) −0.820368 + 3.59427i −0.0323773 + 0.141854i
\(643\) 40.1049 9.15369i 1.58158 0.360986i 0.660647 0.750697i \(-0.270282\pi\)
0.920937 + 0.389711i \(0.127425\pi\)
\(644\) 51.9627 2.04762
\(645\) −1.75032 + 1.44164i −0.0689186 + 0.0567644i
\(646\) 9.65396 62.0525i 0.379830 2.44142i
\(647\) 2.39841 + 10.5081i 0.0942911 + 0.413116i 0.999940 0.0109110i \(-0.00347315\pi\)
−0.905649 + 0.424027i \(0.860616\pi\)
\(648\) −18.6738 + 81.8151i −0.733575 + 3.21400i
\(649\) −4.10108 8.51598i −0.160981 0.334281i
\(650\) 0.330253 + 0.414124i 0.0129536 + 0.0162433i
\(651\) 0.0967277i 0.00379106i
\(652\) 129.461i 5.07010i
\(653\) −3.36298 + 2.68189i −0.131604 + 0.104950i −0.687079 0.726582i \(-0.741108\pi\)
0.555476 + 0.831533i \(0.312536\pi\)
\(654\) −3.48953 1.68047i −0.136451 0.0657115i
\(655\) −16.2243 + 20.3446i −0.633936 + 0.794930i
\(656\) 15.4384 32.0581i 0.602766 1.25166i
\(657\) 36.7181 8.38066i 1.43251 0.326961i
\(658\) −8.14507 + 6.49548i −0.317528 + 0.253220i
\(659\) 0.693828 + 3.03986i 0.0270277 + 0.118416i 0.986642 0.162902i \(-0.0520855\pi\)
−0.959615 + 0.281318i \(0.909228\pi\)
\(660\) −4.02453 8.35701i −0.156654 0.325296i
\(661\) 16.2585 20.3875i 0.632381 0.792981i −0.357646 0.933857i \(-0.616421\pi\)
0.990027 + 0.140876i \(0.0449920\pi\)
\(662\) 4.06703 5.09989i 0.158069 0.198213i
\(663\) −0.838182 + 2.10624i −0.0325523 + 0.0817996i
\(664\) −125.590 + 60.4812i −4.87386 + 2.34713i
\(665\) 14.8727 + 7.16233i 0.576740 + 0.277743i
\(666\) −68.0364 15.5289i −2.63636 0.601731i
\(667\) 14.0678 61.6350i 0.544707 2.38652i
\(668\) 32.6760 67.8524i 1.26427 2.62529i
\(669\) −0.0536328 0.111370i −0.00207356 0.00430580i
\(670\) 14.9895 + 3.42125i 0.579093 + 0.132174i
\(671\) −12.0942 + 15.1656i −0.466890 + 0.585461i
\(672\) 2.83132 3.55036i 0.109220 0.136958i
\(673\) −16.9780 35.2552i −0.654454 1.35899i −0.918863 0.394577i \(-0.870891\pi\)
0.264409 0.964411i \(-0.414823\pi\)
\(674\) −14.3511 + 3.27554i −0.552783 + 0.126169i
\(675\) 0.0389173 0.0310355i 0.00149793 0.00119456i
\(676\) 0.273317 + 1.19748i 0.0105122 + 0.0460570i
\(677\) 18.3737 38.1533i 0.706157 1.46635i −0.170562 0.985347i \(-0.554558\pi\)
0.876719 0.481003i \(-0.159727\pi\)
\(678\) −0.191910 + 0.240647i −0.00737024 + 0.00924199i
\(679\) −11.5909 5.58187i −0.444817 0.214212i
\(680\) −43.8958 76.8689i −1.68333 2.94779i
\(681\) −1.90555 −0.0730207
\(682\) 6.37378 0.244065
\(683\) 36.3479 28.9865i 1.39082 1.10914i 0.410465 0.911877i \(-0.365367\pi\)
0.980351 0.197262i \(-0.0632049\pi\)
\(684\) 81.9269 39.4539i 3.13255 1.50856i
\(685\) −18.5341 4.23028i −0.708150 0.161631i
\(686\) −43.1541 + 9.84964i −1.64763 + 0.376061i
\(687\) 1.76033i 0.0671607i
\(688\) −41.7007 + 90.2099i −1.58982 + 3.43922i
\(689\) 7.59707 0.289425
\(690\) −6.61958 + 1.51088i −0.252003 + 0.0575181i
\(691\) −39.1391 8.93325i −1.48892 0.339837i −0.600784 0.799411i \(-0.705145\pi\)
−0.888139 + 0.459574i \(0.848002\pi\)
\(692\) 28.7838 + 59.7702i 1.09420 + 2.27212i
\(693\) −11.9632 15.0014i −0.454444 0.569855i
\(694\) 41.4953i 1.57514i
\(695\) 7.51110 0.284912
\(696\) −8.07003 10.1195i −0.305894 0.383578i
\(697\) 7.97212 + 5.49083i 0.301965 + 0.207980i
\(698\) −39.1981 + 49.1528i −1.48367 + 1.86046i
\(699\) 0.656389 + 0.316100i 0.0248269 + 0.0119560i
\(700\) 0.382340 0.0872667i 0.0144511 0.00329837i
\(701\) 4.73051 + 5.93187i 0.178669 + 0.224044i 0.863099 0.505035i \(-0.168520\pi\)
−0.684430 + 0.729078i \(0.739949\pi\)
\(702\) −8.76679 + 2.00096i −0.330881 + 0.0755214i
\(703\) 20.6888 + 42.9607i 0.780292 + 1.62029i
\(704\) −118.151 94.2223i −4.45299 3.55114i
\(705\) 0.622097 0.780084i 0.0234295 0.0293797i
\(706\) 8.09145 35.4510i 0.304526 1.33421i
\(707\) −7.68756 15.9634i −0.289120 0.600365i
\(708\) −0.708689 + 1.47161i −0.0266341 + 0.0553064i
\(709\) 28.6406 + 6.53703i 1.07562 + 0.245503i 0.723411 0.690418i \(-0.242573\pi\)
0.352209 + 0.935921i \(0.385431\pi\)
\(710\) −14.4252 + 63.2008i −0.541367 + 2.37188i
\(711\) 7.09594 14.7349i 0.266119 0.552601i
\(712\) 19.8033 9.53679i 0.742161 0.357406i
\(713\) 0.760966 3.33401i 0.0284984 0.124860i
\(714\) 1.54953 + 1.68596i 0.0579898 + 0.0630954i
\(715\) −24.4813 + 30.6986i −0.915550 + 1.14806i
\(716\) −114.189 + 54.9905i −4.26744 + 2.05509i
\(717\) −3.48091 + 0.794494i −0.129997 + 0.0296709i
\(718\) 21.7402 + 27.2613i 0.811336 + 1.01738i
\(719\) −17.0918 + 3.90109i −0.637417 + 0.145486i −0.529004 0.848620i \(-0.677434\pi\)
−0.108413 + 0.994106i \(0.534577\pi\)
\(720\) 44.0001 91.3671i 1.63979 3.40505i
\(721\) −12.3848 9.87655i −0.461234 0.367822i
\(722\) −29.5250 14.2185i −1.09881 0.529158i
\(723\) 1.56111 + 1.95757i 0.0580582 + 0.0728027i
\(724\) 37.7173i 1.40175i
\(725\) 0.477135i 0.0177203i
\(726\) 4.23762 3.37939i 0.157273 0.125421i
\(727\) 22.2592 10.7194i 0.825546 0.397562i 0.0271033 0.999633i \(-0.491372\pi\)
0.798443 + 0.602071i \(0.205657\pi\)
\(728\) −43.9055 10.0211i −1.62725 0.371408i
\(729\) −5.72563 25.0856i −0.212060 0.929098i
\(730\) −77.8530 −2.88147
\(731\) −22.5060 14.9826i −0.832415 0.554153i
\(732\) 3.35199 0.123893
\(733\) −1.39787 6.12445i −0.0516313 0.226212i 0.942529 0.334124i \(-0.108440\pi\)
−0.994160 + 0.107913i \(0.965583\pi\)
\(734\) 61.0233 + 13.9282i 2.25241 + 0.514098i
\(735\) 1.63859 0.789104i 0.0604403 0.0291065i
\(736\) −125.521 + 100.100i −4.62676 + 3.68972i
\(737\) 12.2108i 0.449790i
\(738\) 19.1233i 0.703939i
\(739\) −14.1940 17.7987i −0.522133 0.654735i 0.448927 0.893568i \(-0.351806\pi\)
−0.971060 + 0.238834i \(0.923235\pi\)
\(740\) 95.2634 + 45.8765i 3.50195 + 1.68645i
\(741\) 2.39233 + 1.90782i 0.0878844 + 0.0700855i
\(742\) 3.32966 6.91411i 0.122236 0.253825i
\(743\) 25.1507 5.74049i 0.922691 0.210598i 0.265316 0.964162i \(-0.414524\pi\)
0.657375 + 0.753563i \(0.271667\pi\)
\(744\) −0.436530 0.547392i −0.0160040 0.0200683i
\(745\) −10.9591 + 2.50134i −0.401509 + 0.0916419i
\(746\) −22.2144 + 10.6979i −0.813329 + 0.391678i
\(747\) 27.0875 33.9667i 0.991081 1.24278i
\(748\) 81.4279 74.8388i 2.97730 2.73638i
\(749\) 2.57118 11.2651i 0.0939490 0.411617i
\(750\) 4.21702 2.03081i 0.153984 0.0741547i
\(751\) −10.5155 + 21.8356i −0.383714 + 0.796791i 0.616243 + 0.787556i \(0.288654\pi\)
−0.999957 + 0.00923492i \(0.997060\pi\)
\(752\) 9.73070 42.6330i 0.354842 1.55466i
\(753\) −0.0862500 0.0196860i −0.00314313 0.000717398i
\(754\) −37.3984 + 77.6586i −1.36197 + 2.82816i
\(755\) 13.8269 + 28.7119i 0.503213 + 1.04493i
\(756\) −1.48149 + 6.49083i −0.0538813