Properties

Label 731.2.p.a.16.2
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 16.2
Character \(\chi\) = 731.16
Dual form 731.2.p.a.594.2

$q$-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} +(-3.58045 - 2.04460i) 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} +(-3.27477 + 10.7980i) 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} +(-0.466944 - 0.429160i) 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} +(22.5783 + 1.58441i) 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 0.265591 0.964086i \(-0.414433\pi\)
−0.179012 + 0.983847i \(0.557290\pi\)
\(4\) −4.94587 + 2.38180i −2.47293 + 1.19090i
\(5\) 1.75767 1.40169i 0.786054 0.626857i −0.145956 0.989291i \(-0.546626\pi\)
0.932009 + 0.362434i \(0.118054\pi\)
\(6\) 0.420950i 0.171852i
\(7\) 1.31934i 0.498662i 0.968418 + 0.249331i \(0.0802107\pi\)
−0.968418 + 0.249331i \(0.919789\pi\)
\(8\) 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 \(-0.593555\pi\)
0.928929 0.370257i \(-0.120730\pi\)
\(12\) −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
\(17\) −3.58045 2.04460i −0.868386 0.495889i
\(18\) −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 \(0.411849\pi\)
−0.922509 + 0.385975i \(0.873865\pi\)
\(24\) 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 −0.925575 0.378564i \(-0.876418\pi\)
−0.669662 + 0.742666i \(0.733561\pi\)
\(30\) −0.590044 0.739892i −0.107727 0.135085i
\(31\) −0.464690 + 0.106062i −0.0834608 + 0.0190494i −0.264047 0.964510i \(-0.585058\pi\)
0.180587 + 0.983559i \(0.442200\pi\)
\(32\) −20.1609 9.70896i −3.56397 1.71632i
\(33\) 0.468613 0.587622i 0.0815750 0.102292i
\(34\) −3.27477 + 10.7980i −0.561619 + 1.85185i
\(35\) 1.84931 + 2.31896i 0.312590 + 0.391975i
\(36\) 16.3386 2.72310
\(37\) 8.56761i 1.40851i −0.709949 0.704253i \(-0.751282\pi\)
0.709949 0.704253i \(-0.248718\pi\)
\(38\) −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 −0.397483 0.917610i \(-0.630116\pi\)
0.0400165 + 0.999199i \(0.487259\pi\)
\(42\) 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
\(51\) −0.466944 0.429160i −0.0653852 0.0600944i
\(52\) 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 −0.0325520 0.999470i \(-0.510363\pi\)
−0.462982 + 0.886368i \(0.653221\pi\)
\(62\) 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 \(0.308362\pi\)
\(68\) 22.5783 + 1.58441i 2.73802 + 0.192138i
\(69\) −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 \(-0.927862\pi\)
0.431875 0.901934i \(-0.357852\pi\)
\(72\) −6.32474 27.7105i −0.745378 3.26572i
\(73\) 9.89322 7.88958i 1.15791 0.923406i 0.159946 0.987126i \(-0.448868\pi\)
0.997968 + 0.0637199i \(0.0202964\pi\)
\(74\) −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 \(-0.899969\pi\)
0.951027 0.309108i \(-0.100031\pi\)
\(80\) 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 \(0.307701\pi\)
−0.997615 + 0.0690198i \(0.978013\pi\)
\(98\) −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 \(0.124233\pi\)
\(102\) −0.860676 + 1.50719i −0.0852197 + 0.149234i
\(103\) 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 −0.211124 0.977459i \(-0.567712\pi\)
−0.614320 + 0.789057i \(0.710570\pi\)
\(108\) 4.91977 + 1.12291i 0.473405 + 0.108052i
\(109\) 3.99208 8.28964i 0.382372 0.794004i −0.617600 0.786493i \(-0.711895\pi\)
0.999972 0.00751114i \(-0.00239089\pi\)
\(110\) −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 0.596232 0.802812i \(-0.296664\pi\)
−0.650010 + 0.759925i \(0.725235\pi\)
\(114\) −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
\(119\) 2.69752 4.72381i 0.247281 0.433031i
\(120\) 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 −0.684947 0.728593i \(-0.740174\pi\)
−0.300991 + 0.953627i \(0.597317\pi\)
\(132\) −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 0.727978 0.685601i \(-0.240460\pi\)
−0.506421 + 0.862286i \(0.669032\pi\)
\(140\) −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
\(153\) 6.96092 + 10.1065i 0.562757 + 0.817064i
\(154\) 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 \(-0.482376\pi\)
0.746130 0.665800i \(-0.231910\pi\)
\(164\) 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 −0.113404 0.993549i \(-0.536175\pi\)
0.943404 + 0.331646i \(0.107604\pi\)
\(168\) −1.74606 + 0.840858i −0.134711 + 0.0648736i
\(169\) 0.0497891 0.218140i 0.00382993 0.0167800i
\(170\) 9.37956 + 23.5696i 0.719380 + 1.80770i
\(171\) −16.5647 −1.26674
\(172\) 27.7856 22.8855i 2.11864 1.74500i
\(173\) 12.0849i 0.918796i 0.888230 + 0.459398i \(0.151935\pi\)
−0.888230 + 0.459398i \(0.848065\pi\)
\(174\) 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 −0.981893 0.189436i \(-0.939334\pi\)
0.760307 + 0.649564i \(0.225048\pi\)
\(182\) −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
\(187\) −16.5920 + 11.4278i −1.21333 + 0.835686i
\(188\) −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 0.426896 0.904300i \(-0.359607\pi\)
−0.00774084 + 0.999970i \(0.502464\pi\)
\(194\) 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 0.103161 0.994665i \(-0.467104\pi\)
−0.338624 + 0.940922i \(0.609961\pi\)
\(198\) 31.1173 + 24.8152i 2.21141 + 1.76354i
\(199\) −19.4904 15.5431i −1.38164 1.10182i −0.982774 0.184809i \(-0.940833\pi\)
−0.398864 0.917010i \(-0.630595\pi\)
\(200\) 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
\(204\) 3.33162 + 1.01040i 0.233260 + 0.0707419i
\(205\) −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 0.819297 0.573369i \(-0.194364\pi\)
−0.959101 + 0.283063i \(0.908650\pi\)
\(212\) 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 −0.603661 0.797241i \(-0.706292\pi\)
−0.197970 + 0.980208i \(0.563435\pi\)
\(228\) −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 0.371082 0.928600i \(-0.378987\pi\)
−0.0685709 + 0.997646i \(0.521844\pi\)
\(234\) 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
\(238\) −14.2462 4.32053i −0.923445 0.280058i
\(239\) 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 0.940827 0.338886i \(-0.110050\pi\)
−0.121036 + 0.992648i \(0.538622\pi\)
\(242\) −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
\(255\) −1.42228 0.0998077i −0.0890669 0.00625020i
\(256\) −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 \(-0.484046\pi\)
0.749612 0.661877i \(-0.230240\pi\)
\(270\) 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 \(0.578162\pi\)
\(272\) −58.0597 + 23.1050i −3.52039 + 1.40094i
\(273\) 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 0.990252 0.139290i \(-0.0444821\pi\)
−0.726313 + 0.687364i \(0.758768\pi\)
\(278\) 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 0.489217 0.872162i \(-0.337283\pi\)
0.0623524 + 0.998054i \(0.480140\pi\)
\(284\) 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
\(289\) 8.63920 + 14.6412i 0.508188 + 0.861246i
\(290\) 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
\(306\) 22.7260 24.7269i 1.29916 1.41354i
\(307\) 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 0.414962 0.909839i \(-0.363795\pi\)
−0.794689 + 0.607016i \(0.792366\pi\)
\(312\) 2.27808 4.73048i 0.128971 0.267811i
\(313\) 24.6773 5.63244i 1.39484 0.318364i 0.541934 0.840421i \(-0.317692\pi\)
0.852911 + 0.522057i \(0.174835\pi\)
\(314\) 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 0.505905 0.862589i \(-0.331159\pi\)
−0.728388 + 0.685165i \(0.759730\pi\)
\(318\) 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
\(323\) −22.8907 1.60634i −1.27367 0.0893790i
\(324\) −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 \(0.0468011\pi\)
−0.989211 + 0.146501i \(0.953199\pi\)
\(338\) −0.612336 −0.0333067
\(339\) −0.0701246 0.0879335i −0.00380864 0.00477589i
\(340\) 41.9060 28.8630i 2.27267 1.56531i
\(341\) −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 −0.193522 0.981096i \(-0.561991\pi\)
−0.600039 + 0.799971i \(0.704848\pi\)
\(348\) 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
\(357\) 0.566206 0.616056i 0.0299668 0.0326051i
\(358\) −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 \(-0.653524\pi\)
0.981836 0.189731i \(-0.0607616\pi\)
\(368\) 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 \(-0.146363\pi\)
\(374\) 40.5945 + 37.3096i 2.09909 + 1.92923i
\(375\) 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 −0.833219 0.552944i \(-0.813504\pi\)
0.353672 + 0.935370i \(0.384933\pi\)
\(380\) 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
\(391\) 24.3625 16.7798i 1.23207 0.848592i
\(392\) 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 0.162395 0.986726i \(-0.448078\pi\)
−0.925850 + 0.377891i \(0.876649\pi\)
\(398\) −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 −0.259610 0.965714i \(-0.583594\pi\)
0.185107 + 0.982718i \(0.440737\pi\)
\(402\) −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
\(408\) 0.423964 6.04160i 0.0209894 0.299104i
\(409\) 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 \(-0.689729\pi\)
0.997026 0.0770705i \(-0.0245566\pi\)
\(420\) −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
\(425\) −0.151079 + 0.164380i −0.00732840 + 0.00797362i
\(426\) −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 \(5.74717e-5\pi\)
−1.00000 0.000180553i \(0.999943\pi\)
\(432\) −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 \(-0.645937\pi\)
0.977035 0.213079i \(-0.0683491\pi\)
\(440\) 65.4068 82.0175i 3.11815 3.91003i
\(441\) −14.1034 6.79185i −0.671592 0.323422i
\(442\) 37.4740 14.9128i 1.78245 0.709331i
\(443\) 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 \(0.00111806\pi\)
−0.620740 + 0.784017i \(0.713168\pi\)
\(450\) 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
\(459\) 1.40143 + 3.52161i 0.0654132 + 0.164375i
\(460\) −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
\(476\) −2.09037 + 29.7883i −0.0958120 + 1.36534i
\(477\) 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 \(-0.970020\pi\)
0.995568 0.0940465i \(-0.0299802\pi\)
\(480\) −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 −0.0694150 0.997588i \(-0.522113\pi\)
0.370296 + 0.928914i \(0.379256\pi\)
\(488\) −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
\(493\) 34.7672 + 10.5440i 1.56584 + 0.474879i
\(494\) −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 0.813767 0.581191i \(-0.197413\pi\)
−0.385539 + 0.922691i \(0.625985\pi\)
\(500\) −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 −0.570876 0.821036i \(-0.693396\pi\)
0.673420 + 0.739261i \(0.264825\pi\)
\(504\) 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 −0.762867 0.646555i \(-0.776209\pi\)
0.460590 + 0.887613i \(0.347638\pi\)
\(522\) 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
\(527\) 1.88065 + 0.570356i 0.0819226 + 0.0248451i
\(528\) −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 −0.135089 0.990833i \(-0.543132\pi\)
−0.551618 + 0.834097i \(0.685989\pi\)
\(542\) 34.0898 42.7473i 1.46428 1.83615i
\(543\) −0.658934 + 0.826278i −0.0282776 + 0.0354590i
\(544\) 52.3339 + 75.9834i 2.24380 + 3.25776i
\(545\) −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 0.0163060 0.999867i \(-0.494809\pi\)
0.448517 + 0.893774i \(0.351952\pi\)
\(548\) −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
\(561\) −2.87929 + 1.14582i −0.121564 + 0.0483766i
\(562\) −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 −0.553830 0.832630i \(-0.686834\pi\)
−0.137719 + 0.990471i \(0.543977\pi\)
\(572\) 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 \(0.0659231\pi\)
\(578\) 33.8028 31.9661i 1.40601 1.32962i
\(579\) 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 \(0.158691\pi\)
−0.878281 + 0.478146i \(0.841309\pi\)
\(602\) −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 −0.634941 0.772560i \(-0.718976\pi\)
0.611903 + 0.790933i \(0.290404\pi\)
\(608\) −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
\(612\) −58.4996 33.4060i −2.36470 1.35036i
\(613\) −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 0.982468 0.186433i \(-0.0596928\pi\)
−0.758318 + 0.651885i \(0.773979\pi\)
\(618\) −3.95152 3.15123i −0.158954 0.126761i
\(619\) −17.2428 13.7507i −0.693048 0.552687i 0.212380 0.977187i \(-0.431878\pi\)
−0.905428 + 0.424500i \(0.860450\pi\)
\(620\) 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
\(629\) −17.5174 + 30.6759i −0.698463 + 1.22313i
\(630\) −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 0.951764 0.306832i \(-0.0992690\pi\)
−0.833306 + 0.552812i \(0.813555\pi\)
\(642\) −0.820368 + 3.59427i −0.0323773 + 0.141854i
\(643\) −40.1049 + 9.15369i −1.58158 + 0.360986i −0.920937 0.389711i \(-0.872575\pi\)
−0.660647 + 0.750697i \(0.729718\pi\)
\(644\) 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 −0.555476 0.831533i \(-0.687464\pi\)
0.687079 + 0.726582i \(0.258892\pi\)
\(654\) −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
\(663\) −0.158687 + 2.26133i −0.00616290 + 0.0878228i
\(664\) −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 \(0.129109\pi\)
−0.264409 + 0.964411i \(0.585177\pi\)
\(674\) 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 \(0.445442\pi\)
−0.876719 + 0.481003i \(0.840273\pi\)
\(678\) −0.191910 + 0.240647i −0.00737024 + 0.00924199i
\(679\) −11.5909 5.58187i −0.444817 0.214212i
\(680\) −65.1739 59.9001i −2.49931 2.29707i
\(681\) −1.90555 −0.0730207
\(682\) 6.37378 0.244065
\(683\) −36.3479 + 28.9865i −1.39082 + 1.10914i −0.410465 + 0.911877i \(0.634633\pi\)
−0.980351 + 0.197262i \(0.936795\pi\)
\(684\) 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 0.888139 0.459574i \(-0.151998\pi\)
0.600784 + 0.799411i \(0.294855\pi\)
\(692\) −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
\(697\) 9.26344 + 2.80937i 0.350878 + 0.106413i
\(698\) −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 −0.352209 0.935921i \(-0.614569\pi\)
−0.723411 + 0.690418i \(0.757427\pi\)
\(710\) −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
\(714\) −1.98849 1.13552i −0.0744174 0.0424958i
\(715\) −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 0.108413 0.994106i \(-0.465423\pi\)
0.529004 + 0.848620i \(0.322566\pi\)
\(720\) −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
\(731\) 25.9940 + 7.43712i 0.961424 + 0.275072i
\(732\) 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 −0.657375 0.753563i \(-0.728333\pi\)
−0.265316 + 0.964162i \(0.585476\pi\)
\(744\) −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
\(748\) 54.8431 96.0395i 2.00526 3.51155i
\(749\) 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 \(-0.711346\pi\)
0.999957 0.00923492i \(-0.00293961\pi\)
\(752\) 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