Properties

Label 731.2.p.a.16.14
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 16.14
Character \(\chi\) = 731.16
Dual form 731.2.p.a.594.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.456593 - 2.00046i) q^{2} +(2.15206 + 0.491193i) q^{3} +(-1.99144 + 0.959029i) q^{4} +(-0.261751 + 0.208739i) q^{5} -4.52939i q^{6} +2.19293i q^{7} +(0.269092 + 0.337431i) q^{8} +(1.68717 + 0.812500i) q^{9} +O(q^{10})\) \(q+(-0.456593 - 2.00046i) q^{2} +(2.15206 + 0.491193i) q^{3} +(-1.99144 + 0.959029i) q^{4} +(-0.261751 + 0.208739i) q^{5} -4.52939i q^{6} +2.19293i q^{7} +(0.269092 + 0.337431i) q^{8} +(1.68717 + 0.812500i) q^{9} +(0.537089 + 0.428314i) q^{10} +(2.76544 - 5.74249i) q^{11} +(-4.75677 + 1.08570i) q^{12} +(0.214622 + 0.269128i) q^{13} +(4.38687 - 1.00128i) q^{14} +(-0.665834 + 0.320649i) q^{15} +(-2.20409 + 2.76384i) q^{16} +(4.12060 - 0.143824i) q^{17} +(0.855026 - 3.74611i) q^{18} +(3.02913 - 1.45875i) q^{19} +(0.321075 - 0.666719i) q^{20} +(-1.07715 + 4.71931i) q^{21} +(-12.7503 - 2.91018i) q^{22} +(3.29886 - 6.85015i) q^{23} +(0.413358 + 0.858346i) q^{24} +(-1.08766 + 4.76536i) q^{25} +(0.440386 - 0.552227i) q^{26} +(-1.94565 - 1.55160i) q^{27} +(-2.10308 - 4.36709i) q^{28} +(2.27161 - 0.518480i) q^{29} +(0.945462 + 1.18557i) q^{30} +(2.10853 - 0.481258i) q^{31} +(7.31304 + 3.52177i) q^{32} +(8.77205 - 10.9998i) q^{33} +(-2.16915 - 8.17744i) q^{34} +(-0.457750 - 0.574001i) q^{35} -4.13912 q^{36} +2.37210i q^{37} +(-4.30125 - 5.39360i) q^{38} +(0.329686 + 0.684600i) q^{39} +(-0.140870 - 0.0321527i) q^{40} +(-10.8882 + 2.48517i) q^{41} +9.93262 q^{42} +(-3.34663 - 5.63916i) q^{43} +14.0880i q^{44} +(-0.611220 + 0.139507i) q^{45} +(-15.2097 - 3.47152i) q^{46} +(7.97024 - 3.83826i) q^{47} +(-6.10091 + 4.86531i) q^{48} +2.19107 q^{49} +10.0296 q^{50} +(8.93841 + 1.71449i) q^{51} +(-0.685510 - 0.330124i) q^{52} +(-3.47994 + 4.36370i) q^{53} +(-2.21555 + 4.60065i) q^{54} +(0.474828 + 2.08036i) q^{55} +(-0.739961 + 0.590099i) q^{56} +(7.23538 - 1.65143i) q^{57} +(-2.07440 - 4.30754i) q^{58} +(-6.09251 + 7.63976i) q^{59} +(1.01846 - 1.27711i) q^{60} +(9.09658 + 2.07623i) q^{61} +(-1.92548 - 3.99830i) q^{62} +(-1.78175 + 3.69985i) q^{63} +(2.13284 - 9.34458i) q^{64} +(-0.112355 - 0.0256443i) q^{65} +(-26.0100 - 12.5257i) q^{66} +(2.97614 - 1.43323i) q^{67} +(-8.06800 + 4.23819i) q^{68} +(10.4641 - 13.1215i) q^{69} +(-0.939262 + 1.17780i) q^{70} +(-2.05473 - 4.26669i) q^{71} +(0.179843 + 0.787942i) q^{72} +(-6.34691 + 5.06150i) q^{73} +(4.74530 - 1.08308i) q^{74} +(-4.68143 + 9.72109i) q^{75} +(-4.63335 + 5.81004i) q^{76} +(12.5929 + 6.06440i) q^{77} +(1.21899 - 0.972109i) q^{78} -1.46516i q^{79} -1.18352i q^{80} +(-6.92769 - 8.68705i) q^{81} +(9.94299 + 20.6468i) q^{82} +(-2.22779 + 9.76057i) q^{83} +(-2.38086 - 10.4313i) q^{84} +(-1.04855 + 0.897777i) q^{85} +(-9.75288 + 9.26961i) q^{86} +5.14331 q^{87} +(2.68185 - 0.612114i) q^{88} +(-2.94631 + 12.9086i) q^{89} +(0.558158 + 1.15903i) q^{90} +(-0.590178 + 0.470652i) q^{91} +16.8054i q^{92} +4.77407 q^{93} +(-11.3175 - 14.1917i) q^{94} +(-0.488378 + 1.01413i) q^{95} +(14.0082 + 11.1712i) q^{96} +(-5.54489 + 11.5141i) q^{97} +(-1.00043 - 4.38316i) q^{98} +(9.33155 - 7.44166i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.456593 2.00046i −0.322860 1.41454i −0.832438 0.554118i \(-0.813056\pi\)
0.509578 0.860424i \(-0.329801\pi\)
\(3\) 2.15206 + 0.491193i 1.24249 + 0.283590i 0.792738 0.609563i \(-0.208655\pi\)
0.449753 + 0.893153i \(0.351512\pi\)
\(4\) −1.99144 + 0.959029i −0.995722 + 0.479514i
\(5\) −0.261751 + 0.208739i −0.117059 + 0.0933511i −0.680270 0.732962i \(-0.738137\pi\)
0.563211 + 0.826313i \(0.309566\pi\)
\(6\) 4.52939i 1.84912i
\(7\) 2.19293i 0.828849i 0.910084 + 0.414424i \(0.136017\pi\)
−0.910084 + 0.414424i \(0.863983\pi\)
\(8\) 0.269092 + 0.337431i 0.0951384 + 0.119300i
\(9\) 1.68717 + 0.812500i 0.562392 + 0.270833i
\(10\) 0.537089 + 0.428314i 0.169843 + 0.135445i
\(11\) 2.76544 5.74249i 0.833810 1.73143i 0.167332 0.985901i \(-0.446485\pi\)
0.666478 0.745525i \(-0.267801\pi\)
\(12\) −4.75677 + 1.08570i −1.37316 + 0.313415i
\(13\) 0.214622 + 0.269128i 0.0595256 + 0.0746427i 0.810703 0.585458i \(-0.199085\pi\)
−0.751177 + 0.660100i \(0.770514\pi\)
\(14\) 4.38687 1.00128i 1.17244 0.267602i
\(15\) −0.665834 + 0.320649i −0.171918 + 0.0827912i
\(16\) −2.20409 + 2.76384i −0.551023 + 0.690961i
\(17\) 4.12060 0.143824i 0.999391 0.0348825i
\(18\) 0.855026 3.74611i 0.201532 0.882968i
\(19\) 3.02913 1.45875i 0.694929 0.334660i −0.0528551 0.998602i \(-0.516832\pi\)
0.747784 + 0.663942i \(0.231118\pi\)
\(20\) 0.321075 0.666719i 0.0717946 0.149083i
\(21\) −1.07715 + 4.71931i −0.235054 + 1.02984i
\(22\) −12.7503 2.91018i −2.71838 0.620452i
\(23\) 3.29886 6.85015i 0.687859 1.42835i −0.205339 0.978691i \(-0.565830\pi\)
0.893198 0.449664i \(-0.148456\pi\)
\(24\) 0.413358 + 0.858346i 0.0843763 + 0.175209i
\(25\) −1.08766 + 4.76536i −0.217533 + 0.953073i
\(26\) 0.440386 0.552227i 0.0863668 0.108301i
\(27\) −1.94565 1.55160i −0.374440 0.298606i
\(28\) −2.10308 4.36709i −0.397445 0.825303i
\(29\) 2.27161 0.518480i 0.421828 0.0962794i −0.00633754 0.999980i \(-0.502017\pi\)
0.428165 + 0.903701i \(0.359160\pi\)
\(30\) 0.945462 + 1.18557i 0.172617 + 0.216455i
\(31\) 2.10853 0.481258i 0.378703 0.0864365i −0.0289320 0.999581i \(-0.509211\pi\)
0.407635 + 0.913145i \(0.366353\pi\)
\(32\) 7.31304 + 3.52177i 1.29278 + 0.622568i
\(33\) 8.77205 10.9998i 1.52702 1.91482i
\(34\) −2.16915 8.17744i −0.372006 1.40242i
\(35\) −0.457750 0.574001i −0.0773739 0.0970238i
\(36\) −4.13912 −0.689854
\(37\) 2.37210i 0.389971i 0.980806 + 0.194985i \(0.0624660\pi\)
−0.980806 + 0.194985i \(0.937534\pi\)
\(38\) −4.30125 5.39360i −0.697756 0.874958i
\(39\) 0.329686 + 0.684600i 0.0527920 + 0.109624i
\(40\) −0.140870 0.0321527i −0.0222735 0.00508378i
\(41\) −10.8882 + 2.48517i −1.70046 + 0.388118i −0.959117 0.283010i \(-0.908667\pi\)
−0.741341 + 0.671129i \(0.765810\pi\)
\(42\) 9.93262 1.53264
\(43\) −3.34663 5.63916i −0.510356 0.859963i
\(44\) 14.0880i 2.12384i
\(45\) −0.611220 + 0.139507i −0.0911153 + 0.0207965i
\(46\) −15.2097 3.47152i −2.24255 0.511847i
\(47\) 7.97024 3.83826i 1.16258 0.559868i 0.249790 0.968300i \(-0.419638\pi\)
0.912789 + 0.408432i \(0.133924\pi\)
\(48\) −6.10091 + 4.86531i −0.880591 + 0.702248i
\(49\) 2.19107 0.313010
\(50\) 10.0296 1.41839
\(51\) 8.93841 + 1.71449i 1.25163 + 0.240077i
\(52\) −0.685510 0.330124i −0.0950632 0.0457800i
\(53\) −3.47994 + 4.36370i −0.478006 + 0.599401i −0.961111 0.276162i \(-0.910937\pi\)
0.483105 + 0.875562i \(0.339509\pi\)
\(54\) −2.21555 + 4.60065i −0.301499 + 0.626069i
\(55\) 0.474828 + 2.08036i 0.0640258 + 0.280515i
\(56\) −0.739961 + 0.590099i −0.0988814 + 0.0788553i
\(57\) 7.23538 1.65143i 0.958349 0.218737i
\(58\) −2.07440 4.30754i −0.272382 0.565608i
\(59\) −6.09251 + 7.63976i −0.793177 + 0.994612i 0.206692 + 0.978406i \(0.433730\pi\)
−0.999869 + 0.0162060i \(0.994841\pi\)
\(60\) 1.01846 1.27711i 0.131483 0.164874i
\(61\) 9.09658 + 2.07623i 1.16470 + 0.265835i 0.760810 0.648974i \(-0.224802\pi\)
0.403887 + 0.914809i \(0.367659\pi\)
\(62\) −1.92548 3.99830i −0.244536 0.507785i
\(63\) −1.78175 + 3.69985i −0.224480 + 0.466137i
\(64\) 2.13284 9.34458i 0.266605 1.16807i
\(65\) −0.112355 0.0256443i −0.0139360 0.00318079i
\(66\) −26.0100 12.5257i −3.20161 1.54181i
\(67\) 2.97614 1.43323i 0.363593 0.175097i −0.243163 0.969986i \(-0.578185\pi\)
0.606756 + 0.794888i \(0.292471\pi\)
\(68\) −8.06800 + 4.23819i −0.978389 + 0.513956i
\(69\) 10.4641 13.1215i 1.25973 1.57965i
\(70\) −0.939262 + 1.17780i −0.112263 + 0.140774i
\(71\) −2.05473 4.26669i −0.243852 0.506363i 0.742738 0.669582i \(-0.233527\pi\)
−0.986590 + 0.163219i \(0.947812\pi\)
\(72\) 0.179843 + 0.787942i 0.0211946 + 0.0928598i
\(73\) −6.34691 + 5.06150i −0.742850 + 0.592403i −0.920064 0.391769i \(-0.871863\pi\)
0.177213 + 0.984172i \(0.443292\pi\)
\(74\) 4.74530 1.08308i 0.551630 0.125906i
\(75\) −4.68143 + 9.72109i −0.540565 + 1.12249i
\(76\) −4.63335 + 5.81004i −0.531482 + 0.666457i
\(77\) 12.5929 + 6.06440i 1.43509 + 0.691103i
\(78\) 1.21899 0.972109i 0.138023 0.110070i
\(79\) 1.46516i 0.164843i −0.996598 0.0824215i \(-0.973735\pi\)
0.996598 0.0824215i \(-0.0262654\pi\)
\(80\) 1.18352i 0.132321i
\(81\) −6.92769 8.68705i −0.769743 0.965228i
\(82\) 9.94299 + 20.6468i 1.09802 + 2.28006i
\(83\) −2.22779 + 9.76057i −0.244531 + 1.07136i 0.692308 + 0.721602i \(0.256594\pi\)
−0.936840 + 0.349759i \(0.886263\pi\)
\(84\) −2.38086 10.4313i −0.259774 1.13814i
\(85\) −1.04855 + 0.897777i −0.113731 + 0.0973775i
\(86\) −9.75288 + 9.26961i −1.05168 + 0.999568i
\(87\) 5.14331 0.551421
\(88\) 2.68185 0.612114i 0.285886 0.0652516i
\(89\) −2.94631 + 12.9086i −0.312308 + 1.36831i 0.538407 + 0.842685i \(0.319026\pi\)
−0.850715 + 0.525627i \(0.823831\pi\)
\(90\) 0.558158 + 1.15903i 0.0588350 + 0.122172i
\(91\) −0.590178 + 0.470652i −0.0618675 + 0.0493377i
\(92\) 16.8054i 1.75208i
\(93\) 4.77407 0.495048
\(94\) −11.3175 14.1917i −1.16731 1.46376i
\(95\) −0.488378 + 1.01413i −0.0501065 + 0.104047i
\(96\) 14.0082 + 11.1712i 1.42971 + 1.14015i
\(97\) −5.54489 + 11.5141i −0.562998 + 1.16908i 0.404110 + 0.914710i \(0.367581\pi\)
−0.967108 + 0.254367i \(0.918133\pi\)
\(98\) −1.00043 4.38316i −0.101058 0.442766i
\(99\) 9.33155 7.44166i 0.937856 0.747915i
\(100\) −2.40410 10.5331i −0.240410 1.05331i
\(101\) −14.2579 + 6.86625i −1.41872 + 0.683217i −0.976862 0.213870i \(-0.931393\pi\)
−0.441853 + 0.897087i \(0.645679\pi\)
\(102\) −0.651436 18.6638i −0.0645017 1.84799i
\(103\) −8.03854 + 10.0800i −0.792060 + 0.993212i 0.207826 + 0.978166i \(0.433361\pi\)
−0.999887 + 0.0150466i \(0.995210\pi\)
\(104\) −0.0330589 + 0.144840i −0.00324169 + 0.0142028i
\(105\) −0.703160 1.46013i −0.0686214 0.142494i
\(106\) 10.3183 + 4.96905i 1.00221 + 0.482637i
\(107\) −3.95536 0.902785i −0.382379 0.0872756i 0.0270106 0.999635i \(-0.491401\pi\)
−0.409390 + 0.912360i \(0.634258\pi\)
\(108\) 5.36268 + 1.22400i 0.516024 + 0.117779i
\(109\) 4.75098 9.86551i 0.455061 0.944944i −0.539617 0.841911i \(-0.681431\pi\)
0.994678 0.103033i \(-0.0328549\pi\)
\(110\) 3.94488 1.89975i 0.376129 0.181134i
\(111\) −1.16516 + 5.10490i −0.110592 + 0.484535i
\(112\) −6.06091 4.83341i −0.572702 0.456714i
\(113\) 0.913924 + 0.728830i 0.0859748 + 0.0685626i 0.665534 0.746368i \(-0.268204\pi\)
−0.579559 + 0.814930i \(0.696775\pi\)
\(114\) −6.60725 13.7201i −0.618825 1.28500i
\(115\) 0.566417 + 2.48163i 0.0528186 + 0.231413i
\(116\) −4.02655 + 3.21106i −0.373856 + 0.298140i
\(117\) 0.143439 + 0.628447i 0.0132609 + 0.0580999i
\(118\) 18.0649 + 8.69958i 1.66301 + 0.800861i
\(119\) 0.315396 + 9.03617i 0.0289123 + 0.828344i
\(120\) −0.287367 0.138389i −0.0262329 0.0126331i
\(121\) −18.4701 23.1608i −1.67910 2.10553i
\(122\) 19.1454i 1.73334i
\(123\) −24.6528 −2.22287
\(124\) −3.73748 + 2.98054i −0.335636 + 0.267660i
\(125\) −1.43633 2.98256i −0.128469 0.266768i
\(126\) 8.21496 + 1.87501i 0.731847 + 0.167039i
\(127\) 3.77538 + 16.5410i 0.335011 + 1.46778i 0.809292 + 0.587406i \(0.199851\pi\)
−0.474281 + 0.880374i \(0.657292\pi\)
\(128\) −3.43363 −0.303493
\(129\) −4.43222 13.7796i −0.390236 1.21323i
\(130\) 0.236472i 0.0207399i
\(131\) 5.25697 1.19987i 0.459304 0.104833i 0.0133927 0.999910i \(-0.495737\pi\)
0.445911 + 0.895077i \(0.352880\pi\)
\(132\) −6.91992 + 30.3181i −0.602301 + 2.63885i
\(133\) 3.19893 + 6.64265i 0.277383 + 0.575991i
\(134\) −4.22602 5.29926i −0.365072 0.457786i
\(135\) 0.833155 0.0717065
\(136\) 1.15735 + 1.35171i 0.0992419 + 0.115908i
\(137\) 2.65160 + 3.32500i 0.226541 + 0.284074i 0.882092 0.471077i \(-0.156135\pi\)
−0.655550 + 0.755151i \(0.727563\pi\)
\(138\) −31.0270 14.9418i −2.64119 1.27193i
\(139\) −17.4279 13.8983i −1.47821 1.17884i −0.942395 0.334502i \(-0.891432\pi\)
−0.535818 0.844333i \(-0.679997\pi\)
\(140\) 1.46207 + 0.704094i 0.123567 + 0.0595068i
\(141\) 19.0377 4.34524i 1.60327 0.365935i
\(142\) −7.59719 + 6.05856i −0.637542 + 0.508423i
\(143\) 2.13899 0.488210i 0.178871 0.0408262i
\(144\) −5.96431 + 2.87226i −0.497026 + 0.239355i
\(145\) −0.486369 + 0.609887i −0.0403907 + 0.0506484i
\(146\) 13.0233 + 10.3857i 1.07782 + 0.859530i
\(147\) 4.71531 + 1.07624i 0.388912 + 0.0887666i
\(148\) −2.27491 4.72390i −0.186997 0.388302i
\(149\) 16.5606 + 7.97515i 1.35670 + 0.653350i 0.963897 0.266275i \(-0.0857928\pi\)
0.392798 + 0.919625i \(0.371507\pi\)
\(150\) 21.5842 + 4.92645i 1.76234 + 0.402243i
\(151\) −4.72947 + 20.7212i −0.384879 + 1.68627i 0.297062 + 0.954858i \(0.403993\pi\)
−0.681941 + 0.731407i \(0.738864\pi\)
\(152\) 1.30734 + 0.629582i 0.106039 + 0.0510658i
\(153\) 7.06902 + 3.10533i 0.571497 + 0.251051i
\(154\) 6.38181 27.9605i 0.514261 2.25312i
\(155\) −0.451452 + 0.566103i −0.0362615 + 0.0454705i
\(156\) −1.31310 1.04716i −0.105132 0.0838402i
\(157\) −1.07202 + 0.516255i −0.0855561 + 0.0412017i −0.476172 0.879352i \(-0.657976\pi\)
0.390616 + 0.920554i \(0.372262\pi\)
\(158\) −2.93099 + 0.668980i −0.233177 + 0.0532212i
\(159\) −9.63244 + 7.68162i −0.763902 + 0.609192i
\(160\) −2.64933 + 0.604692i −0.209448 + 0.0478051i
\(161\) 15.0219 + 7.23416i 1.18389 + 0.570131i
\(162\) −14.2150 + 17.8250i −1.11684 + 1.40047i
\(163\) 4.61807 9.58952i 0.361715 0.751109i −0.638107 0.769947i \(-0.720282\pi\)
0.999823 + 0.0188382i \(0.00599675\pi\)
\(164\) 19.3000 15.3912i 1.50707 1.20185i
\(165\) 4.71028i 0.366695i
\(166\) 20.5429 1.59443
\(167\) 10.2108 8.14281i 0.790132 0.630109i −0.142968 0.989727i \(-0.545664\pi\)
0.933100 + 0.359618i \(0.117093\pi\)
\(168\) −1.88229 + 0.906464i −0.145222 + 0.0699352i
\(169\) 2.86641 12.5585i 0.220493 0.966042i
\(170\) 2.27473 + 1.68766i 0.174464 + 0.129438i
\(171\) 6.29590 0.481459
\(172\) 12.0727 + 8.02055i 0.920537 + 0.611561i
\(173\) 10.7837i 0.819873i −0.912114 0.409936i \(-0.865551\pi\)
0.912114 0.409936i \(-0.134449\pi\)
\(174\) −2.34840 10.2890i −0.178032 0.780008i
\(175\) −10.4501 2.38517i −0.789953 0.180302i
\(176\) 9.77606 + 20.3002i 0.736898 + 1.53018i
\(177\) −16.8640 + 13.4486i −1.26758 + 1.01086i
\(178\) 27.1685 2.03637
\(179\) −18.4194 −1.37673 −0.688366 0.725364i \(-0.741672\pi\)
−0.688366 + 0.725364i \(0.741672\pi\)
\(180\) 1.08342 0.863998i 0.0807533 0.0643986i
\(181\) −7.88345 + 16.3701i −0.585972 + 1.21678i 0.371547 + 0.928414i \(0.378827\pi\)
−0.957519 + 0.288369i \(0.906887\pi\)
\(182\) 1.21099 + 0.965735i 0.0897648 + 0.0715850i
\(183\) 18.5565 + 8.93635i 1.37174 + 0.660594i
\(184\) 3.19915 0.730184i 0.235844 0.0538299i
\(185\) −0.495151 0.620899i −0.0364042 0.0456494i
\(186\) −2.17981 9.55036i −0.159831 0.700266i
\(187\) 10.5693 24.0602i 0.772907 1.75946i
\(188\) −12.1913 + 15.2874i −0.889140 + 1.11495i
\(189\) 3.40255 4.26666i 0.247499 0.310354i
\(190\) 2.25171 + 0.513939i 0.163356 + 0.0372851i
\(191\) 3.34493 1.61084i 0.242031 0.116556i −0.308937 0.951083i \(-0.599973\pi\)
0.550968 + 0.834527i \(0.314259\pi\)
\(192\) 9.17999 19.0624i 0.662509 1.37571i
\(193\) 13.8206 + 3.15447i 0.994830 + 0.227063i 0.688794 0.724957i \(-0.258140\pi\)
0.306035 + 0.952020i \(0.400997\pi\)
\(194\) 25.5653 + 5.83510i 1.83548 + 0.418936i
\(195\) −0.229199 0.110376i −0.0164133 0.00790421i
\(196\) −4.36339 + 2.10130i −0.311671 + 0.150093i
\(197\) 20.5853 + 4.69846i 1.46664 + 0.334751i 0.879953 0.475061i \(-0.157574\pi\)
0.586689 + 0.809812i \(0.300431\pi\)
\(198\) −19.1475 15.2696i −1.36075 1.08516i
\(199\) 21.1949 + 16.9024i 1.50247 + 1.19818i 0.923954 + 0.382503i \(0.124938\pi\)
0.578512 + 0.815674i \(0.303634\pi\)
\(200\) −1.90066 + 0.915310i −0.134397 + 0.0647222i
\(201\) 7.10882 1.62254i 0.501417 0.114445i
\(202\) 20.2458 + 25.3874i 1.42449 + 1.78625i
\(203\) 1.13699 + 4.98148i 0.0798010 + 0.349631i
\(204\) −19.4446 + 5.15788i −1.36139 + 0.361124i
\(205\) 2.33125 2.92330i 0.162822 0.204172i
\(206\) 23.8350 + 11.4783i 1.66067 + 0.799734i
\(207\) 11.1315 8.87707i 0.773692 0.616999i
\(208\) −1.21688 −0.0843751
\(209\) 21.4288i 1.48226i
\(210\) −2.59987 + 2.07333i −0.179408 + 0.143073i
\(211\) −2.35225 4.88450i −0.161936 0.336263i 0.804174 0.594393i \(-0.202608\pi\)
−0.966110 + 0.258131i \(0.916894\pi\)
\(212\) 2.74518 12.0274i 0.188540 0.826047i
\(213\) −2.32613 10.1914i −0.159384 0.698305i
\(214\) 8.32476i 0.569069i
\(215\) 2.05310 + 0.777481i 0.140020 + 0.0530237i
\(216\) 1.07404i 0.0730794i
\(217\) 1.05536 + 4.62385i 0.0716428 + 0.313888i
\(218\) −21.9049 4.99964i −1.48358 0.338618i
\(219\) −16.1451 + 7.77507i −1.09098 + 0.525390i
\(220\) −2.94071 3.68754i −0.198263 0.248614i
\(221\) 0.923080 + 1.07810i 0.0620931 + 0.0725209i
\(222\) 10.7442 0.721101
\(223\) −6.14910 7.71073i −0.411774 0.516349i 0.532087 0.846689i \(-0.321408\pi\)
−0.943862 + 0.330341i \(0.892836\pi\)
\(224\) −7.72300 + 16.0370i −0.516014 + 1.07151i
\(225\) −5.70694 + 7.15627i −0.380463 + 0.477085i
\(226\) 1.04071 2.16105i 0.0692269 0.143751i
\(227\) 19.7108 4.49886i 1.30825 0.298600i 0.489126 0.872213i \(-0.337316\pi\)
0.819126 + 0.573613i \(0.194459\pi\)
\(228\) −12.8251 + 10.2277i −0.849362 + 0.677344i
\(229\) −0.432111 1.89320i −0.0285547 0.125106i 0.958642 0.284616i \(-0.0918660\pi\)
−0.987196 + 0.159509i \(0.949009\pi\)
\(230\) 4.70580 2.26619i 0.310291 0.149428i
\(231\) 24.1218 + 19.2365i 1.58710 + 1.26567i
\(232\) 0.786223 + 0.626992i 0.0516181 + 0.0411641i
\(233\) −3.98187 0.908837i −0.260861 0.0595399i 0.0900900 0.995934i \(-0.471285\pi\)
−0.350951 + 0.936394i \(0.614142\pi\)
\(234\) 1.19169 0.573889i 0.0779034 0.0375163i
\(235\) −1.28502 + 2.66837i −0.0838254 + 0.174065i
\(236\) 4.80613 21.0570i 0.312853 1.37070i
\(237\) 0.719675 3.15310i 0.0467479 0.204816i
\(238\) 17.9325 4.75679i 1.16239 0.308337i
\(239\) 14.8276 7.14058i 0.959116 0.461886i 0.112243 0.993681i \(-0.464197\pi\)
0.846873 + 0.531795i \(0.178482\pi\)
\(240\) 0.581336 2.54700i 0.0375251 0.164408i
\(241\) 1.42451 + 1.13601i 0.0917609 + 0.0731769i 0.668296 0.743896i \(-0.267024\pi\)
−0.576535 + 0.817073i \(0.695596\pi\)
\(242\) −37.8991 + 47.5239i −2.43624 + 3.05495i
\(243\) −7.40251 15.3715i −0.474871 0.986081i
\(244\) −20.1065 + 4.58917i −1.28719 + 0.293792i
\(245\) −0.573514 + 0.457362i −0.0366405 + 0.0292198i
\(246\) 11.2563 + 49.3171i 0.717676 + 3.14434i
\(247\) 1.04271 + 0.502142i 0.0663460 + 0.0319505i
\(248\) 0.729780 + 0.581980i 0.0463411 + 0.0369558i
\(249\) −9.58865 + 19.9110i −0.607656 + 1.26181i
\(250\) −5.31069 + 4.23514i −0.335878 + 0.267853i
\(251\) −13.1120 −0.827620 −0.413810 0.910363i \(-0.635802\pi\)
−0.413810 + 0.910363i \(0.635802\pi\)
\(252\) 9.07680i 0.571785i
\(253\) −30.2141 37.8873i −1.89954 2.38195i
\(254\) 31.3660 15.1050i 1.96807 0.947775i
\(255\) −2.69752 + 1.41703i −0.168925 + 0.0887377i
\(256\) −2.69791 11.8203i −0.168619 0.738770i
\(257\) −19.9780 −1.24619 −0.623096 0.782146i \(-0.714125\pi\)
−0.623096 + 0.782146i \(0.714125\pi\)
\(258\) −25.5419 + 15.1582i −1.59017 + 0.943708i
\(259\) −5.20184 −0.323227
\(260\) 0.248343 0.0566826i 0.0154016 0.00351531i
\(261\) 4.25387 + 0.970918i 0.263308 + 0.0600983i
\(262\) −4.80060 9.96854i −0.296582 0.615858i
\(263\) −2.16071 2.70944i −0.133235 0.167071i 0.710738 0.703456i \(-0.248361\pi\)
−0.843973 + 0.536385i \(0.819790\pi\)
\(264\) 6.07216 0.373715
\(265\) 1.86860i 0.114787i
\(266\) 11.8278 9.43234i 0.725208 0.578334i
\(267\) −12.6813 + 26.3329i −0.776080 + 1.61155i
\(268\) −4.55230 + 5.70841i −0.278076 + 0.348696i
\(269\) −3.23082 + 6.70887i −0.196987 + 0.409047i −0.975941 0.218033i \(-0.930036\pi\)
0.778955 + 0.627080i \(0.215750\pi\)
\(270\) −0.380413 1.66670i −0.0231512 0.101432i
\(271\) 8.19996 + 10.2824i 0.498112 + 0.624613i 0.965802 0.259279i \(-0.0834851\pi\)
−0.467690 + 0.883893i \(0.654914\pi\)
\(272\) −8.68466 + 11.7057i −0.526585 + 0.709761i
\(273\) −1.50128 + 0.722978i −0.0908615 + 0.0437566i
\(274\) 5.44084 6.82260i 0.328693 0.412168i
\(275\) 24.3572 + 19.4242i 1.46879 + 1.17132i
\(276\) −8.25469 + 36.1662i −0.496874 + 2.17695i
\(277\) −9.03670 18.7649i −0.542963 1.12747i −0.974294 0.225280i \(-0.927670\pi\)
0.431331 0.902194i \(-0.358044\pi\)
\(278\) −19.8455 + 41.2097i −1.19026 + 2.47159i
\(279\) 3.94848 + 0.901215i 0.236389 + 0.0539543i
\(280\) 0.0705085 0.308918i 0.00421369 0.0184614i
\(281\) −7.17961 3.45752i −0.428299 0.206258i 0.207300 0.978278i \(-0.433533\pi\)
−0.635599 + 0.772019i \(0.719247\pi\)
\(282\) −17.3850 36.1003i −1.03526 2.14974i
\(283\) −13.2707 3.02894i −0.788859 0.180052i −0.190933 0.981603i \(-0.561151\pi\)
−0.597926 + 0.801551i \(0.704008\pi\)
\(284\) 8.18376 + 6.52633i 0.485617 + 0.387266i
\(285\) −1.54915 + 1.94257i −0.0917636 + 0.115068i
\(286\) −1.95330 4.05606i −0.115501 0.239840i
\(287\) −5.44980 23.8771i −0.321691 1.40942i
\(288\) 9.47693 + 11.8837i 0.558434 + 0.700254i
\(289\) 16.9586 1.18528i 0.997566 0.0697225i
\(290\) 1.44213 + 0.694493i 0.0846848 + 0.0407821i
\(291\) −17.5885 + 22.0553i −1.03106 + 1.29291i
\(292\) 7.78540 16.1666i 0.455606 0.946076i
\(293\) 3.86203 + 4.84284i 0.225622 + 0.282921i 0.881739 0.471738i \(-0.156373\pi\)
−0.656116 + 0.754660i \(0.727802\pi\)
\(294\) 9.92421i 0.578792i
\(295\) 3.27146i 0.190472i
\(296\) −0.800419 + 0.638313i −0.0465234 + 0.0371012i
\(297\) −14.2906 + 6.88200i −0.829225 + 0.399334i
\(298\) 8.39257 36.7702i 0.486168 2.13004i
\(299\) 2.55158 0.582381i 0.147561 0.0336799i
\(300\) 23.8486i 1.37690i
\(301\) 12.3663 7.33891i 0.712779 0.423008i
\(302\) 43.6114 2.50956
\(303\) −34.0565 + 7.77318i −1.95650 + 0.446557i
\(304\) −2.64471 + 11.5872i −0.151685 + 0.664574i
\(305\) −2.81443 + 1.35536i −0.161154 + 0.0776075i
\(306\) 2.98444 15.5592i 0.170609 0.889460i
\(307\) −12.0385 −0.687074 −0.343537 0.939139i \(-0.611625\pi\)
−0.343537 + 0.939139i \(0.611625\pi\)
\(308\) −30.8939 −1.76034
\(309\) −22.2506 + 17.7443i −1.26579 + 1.00944i
\(310\) 1.33860 + 0.644635i 0.0760273 + 0.0366128i
\(311\) −12.1630 9.69970i −0.689703 0.550020i 0.214710 0.976678i \(-0.431119\pi\)
−0.904413 + 0.426658i \(0.859691\pi\)
\(312\) −0.142289 + 0.295467i −0.00805554 + 0.0167275i
\(313\) 1.44994 0.330939i 0.0819554 0.0187058i −0.181347 0.983419i \(-0.558046\pi\)
0.263302 + 0.964713i \(0.415188\pi\)
\(314\) 1.52223 + 1.90881i 0.0859042 + 0.107720i
\(315\) −0.305929 1.34036i −0.0172371 0.0755208i
\(316\) 1.40513 + 2.91778i 0.0790446 + 0.164138i
\(317\) −18.8770 15.0539i −1.06024 0.845510i −0.0718407 0.997416i \(-0.522887\pi\)
−0.988395 + 0.151906i \(0.951459\pi\)
\(318\) 19.7649 + 15.7620i 1.10836 + 0.883889i
\(319\) 3.30463 14.4785i 0.185024 0.810642i
\(320\) 1.39231 + 2.89116i 0.0778325 + 0.161621i
\(321\) −8.06872 3.88569i −0.450352 0.216878i
\(322\) 7.61279 33.3538i 0.424244 1.85873i
\(323\) 12.2720 6.44658i 0.682832 0.358697i
\(324\) 22.1272 + 10.6559i 1.22929 + 0.591995i
\(325\) −1.51593 + 0.730034i −0.0840887 + 0.0404950i
\(326\) −21.2921 4.85978i −1.17926 0.269158i
\(327\) 15.0702 18.8975i 0.833387 1.04503i
\(328\) −3.76851 3.00529i −0.208081 0.165939i
\(329\) 8.41704 + 17.4782i 0.464046 + 0.963602i
\(330\) 9.42275 2.15068i 0.518705 0.118391i
\(331\) −18.9988 23.8238i −1.04427 1.30947i −0.949429 0.313981i \(-0.898337\pi\)
−0.0948405 0.995492i \(-0.530234\pi\)
\(332\) −4.92415 21.5741i −0.270248 1.18403i
\(333\) −1.92733 + 4.00215i −0.105617 + 0.219316i
\(334\) −20.9516 16.7083i −1.14642 0.914238i
\(335\) −0.479835 + 0.996387i −0.0262162 + 0.0544385i
\(336\) −10.6693 13.3789i −0.582057 0.729876i
\(337\) 12.2115i 0.665203i 0.943068 + 0.332601i \(0.107926\pi\)
−0.943068 + 0.332601i \(0.892074\pi\)
\(338\) −26.4317 −1.43769
\(339\) 1.60882 + 2.01740i 0.0873792 + 0.109570i
\(340\) 1.22713 2.79346i 0.0665505 0.151497i
\(341\) 3.06739 13.4391i 0.166108 0.727768i
\(342\) −2.87466 12.5947i −0.155444 0.681044i
\(343\) 20.1553i 1.08829i
\(344\) 1.00227 2.64671i 0.0540389 0.142701i
\(345\) 5.61884i 0.302508i
\(346\) −21.5725 + 4.92378i −1.15974 + 0.264704i
\(347\) 11.0305 + 2.51763i 0.592147 + 0.135154i 0.508085 0.861307i \(-0.330354\pi\)
0.0840617 + 0.996461i \(0.473211\pi\)
\(348\) −10.2426 + 4.93258i −0.549062 + 0.264414i
\(349\) 15.0671 + 18.8935i 0.806522 + 1.01135i 0.999545 + 0.0301527i \(0.00959935\pi\)
−0.193023 + 0.981194i \(0.561829\pi\)
\(350\) 21.9941i 1.17563i
\(351\) 0.856637i 0.0457239i
\(352\) 40.4475 32.2558i 2.15586 1.71924i
\(353\) 7.59130 + 3.65578i 0.404044 + 0.194577i 0.624858 0.780739i \(-0.285157\pi\)
−0.220814 + 0.975316i \(0.570871\pi\)
\(354\) 34.6035 + 27.5953i 1.83915 + 1.46668i
\(355\) 1.42845 + 0.687907i 0.0758144 + 0.0365103i
\(356\) −6.51233 28.5324i −0.345153 1.51221i
\(357\) −3.75975 + 19.6013i −0.198987 + 1.03741i
\(358\) 8.41018 + 36.8474i 0.444492 + 1.94744i
\(359\) −1.24250 + 0.598356i −0.0655766 + 0.0315800i −0.466385 0.884582i \(-0.654444\pi\)
0.400808 + 0.916162i \(0.368729\pi\)
\(360\) −0.211548 0.168704i −0.0111496 0.00889149i
\(361\) −4.79866 + 6.01733i −0.252561 + 0.316701i
\(362\) 36.3474 + 8.29606i 1.91038 + 0.436031i
\(363\) −28.3724 58.9158i −1.48916 3.09228i
\(364\) 0.723939 1.50327i 0.0379447 0.0787930i
\(365\) 0.604777 2.64970i 0.0316555 0.138692i
\(366\) 9.40408 41.2019i 0.491559 2.15366i
\(367\) 1.65213 3.43069i 0.0862407 0.179081i −0.853388 0.521276i \(-0.825456\pi\)
0.939629 + 0.342195i \(0.111170\pi\)
\(368\) 11.6617 + 24.2159i 0.607911 + 1.26234i
\(369\) −20.3896 4.65379i −1.06144 0.242266i
\(370\) −1.01600 + 1.27403i −0.0528196 + 0.0662336i
\(371\) −9.56928 7.63125i −0.496812 0.396195i
\(372\) −9.50729 + 4.57847i −0.492930 + 0.237383i
\(373\) −6.32366 27.7057i −0.327426 1.43455i −0.824017 0.566564i \(-0.808272\pi\)
0.496591 0.867985i \(-0.334585\pi\)
\(374\) −52.9575 10.1579i −2.73837 0.525251i
\(375\) −1.62604 7.12416i −0.0839685 0.367890i
\(376\) 3.43987 + 1.65656i 0.177398 + 0.0854304i
\(377\) 0.627076 + 0.500077i 0.0322961 + 0.0257553i
\(378\) −10.0889 4.85855i −0.518916 0.249897i
\(379\) −6.41732 + 5.11764i −0.329635 + 0.262875i −0.774296 0.632824i \(-0.781896\pi\)
0.444660 + 0.895699i \(0.353324\pi\)
\(380\) 2.48794i 0.127629i
\(381\) 37.4517i 1.91871i
\(382\) −4.74969 5.95593i −0.243015 0.304732i
\(383\) −6.09032 + 2.93295i −0.311201 + 0.149867i −0.582965 0.812498i \(-0.698107\pi\)
0.271764 + 0.962364i \(0.412393\pi\)
\(384\) −7.38936 1.68657i −0.377087 0.0860676i
\(385\) −4.56207 + 1.04126i −0.232505 + 0.0530677i
\(386\) 29.0880i 1.48054i
\(387\) −1.06453 12.2334i −0.0541131 0.621857i
\(388\) 28.2473i 1.43404i
\(389\) −2.39827 10.5075i −0.121597 0.532751i −0.998630 0.0523216i \(-0.983338\pi\)
0.877033 0.480430i \(-0.159519\pi\)
\(390\) −0.116153 + 0.508901i −0.00588165 + 0.0257692i
\(391\) 12.6080 28.7012i 0.637616 1.45148i
\(392\) 0.589599 + 0.739334i 0.0297793 + 0.0373420i
\(393\) 11.9027 0.600411
\(394\) 43.3254i 2.18270i
\(395\) 0.305836 + 0.383506i 0.0153883 + 0.0192963i
\(396\) −11.4465 + 23.7689i −0.575207 + 1.19443i
\(397\) −18.0655 14.4068i −0.906683 0.723056i 0.0546318 0.998507i \(-0.482602\pi\)
−0.961315 + 0.275451i \(0.911173\pi\)
\(398\) 24.1351 50.1171i 1.20979 2.51214i
\(399\) 3.62146 + 15.8667i 0.181300 + 0.794327i
\(400\) −10.7734 13.5094i −0.538670 0.675471i
\(401\) −3.61459 + 0.825007i −0.180504 + 0.0411989i −0.311817 0.950142i \(-0.600938\pi\)
0.131313 + 0.991341i \(0.458081\pi\)
\(402\) −6.49167 13.4801i −0.323775 0.672326i
\(403\) 0.582058 + 0.464176i 0.0289944 + 0.0231222i
\(404\) 21.8089 27.3475i 1.08503 1.36059i
\(405\) 3.62666 + 0.827761i 0.180210 + 0.0411318i
\(406\) 9.44613 4.54902i 0.468803 0.225764i
\(407\) 13.6218 + 6.55989i 0.675205 + 0.325162i
\(408\) 1.82673 + 3.47745i 0.0904367 + 0.172159i
\(409\) −4.37709 + 19.1773i −0.216433 + 0.948257i 0.743656 + 0.668563i \(0.233090\pi\)
−0.960089 + 0.279694i \(0.909767\pi\)
\(410\) −6.91239 3.32883i −0.341379 0.164399i
\(411\) 4.07318 + 8.45804i 0.200915 + 0.417204i
\(412\) 6.34128 27.7829i 0.312412 1.36877i
\(413\) −16.7534 13.3604i −0.824383 0.657423i
\(414\) −22.8408 18.2150i −1.12257 0.895216i
\(415\) −1.45429 3.01986i −0.0713882 0.148239i
\(416\) 0.621734 + 2.72400i 0.0304830 + 0.133555i
\(417\) −30.6791 38.4703i −1.50236 1.88390i
\(418\) −42.8675 + 9.78424i −2.09672 + 0.478563i
\(419\) 6.13550 12.7405i 0.299739 0.622414i −0.695645 0.718385i \(-0.744881\pi\)
0.995384 + 0.0959713i \(0.0305957\pi\)
\(420\) 2.80061 + 2.23341i 0.136656 + 0.108979i
\(421\) 29.5071 + 14.2099i 1.43809 + 0.692546i 0.980482 0.196610i \(-0.0629932\pi\)
0.457605 + 0.889156i \(0.348708\pi\)
\(422\) −8.69725 + 6.93583i −0.423375 + 0.337631i
\(423\) 16.5658 0.805455
\(424\) −2.40887 −0.116985
\(425\) −3.79645 + 19.7926i −0.184155 + 0.960081i
\(426\) −19.3255 + 9.30667i −0.936324 + 0.450910i
\(427\) −4.55303 + 19.9481i −0.220337 + 0.965358i
\(428\) 8.74268 1.99546i 0.422593 0.0964541i
\(429\) 4.84303 0.233824
\(430\) 0.617893 4.46214i 0.0297974 0.215183i
\(431\) 10.8868i 0.524398i 0.965014 + 0.262199i \(0.0844477\pi\)
−0.965014 + 0.262199i \(0.915552\pi\)
\(432\) 8.57676 1.95759i 0.412650 0.0941846i
\(433\) −2.86196 + 12.5391i −0.137537 + 0.602590i 0.858435 + 0.512923i \(0.171437\pi\)
−0.995972 + 0.0896668i \(0.971420\pi\)
\(434\) 8.76798 4.22244i 0.420877 0.202684i
\(435\) −1.34627 + 1.07361i −0.0645485 + 0.0514757i
\(436\) 24.2029i 1.15911i
\(437\) 25.5622i 1.22280i
\(438\) 22.9255 + 28.7477i 1.09542 + 1.37362i
\(439\) −7.65049 + 15.8864i −0.365138 + 0.758217i −0.999895 0.0144949i \(-0.995386\pi\)
0.634757 + 0.772712i \(0.281100\pi\)
\(440\) −0.574204 + 0.720029i −0.0273741 + 0.0343260i
\(441\) 3.69672 + 1.78024i 0.176034 + 0.0847736i
\(442\) 1.73523 2.33884i 0.0825365 0.111247i
\(443\) 0.652135 + 0.817752i 0.0309839 + 0.0388526i 0.797082 0.603871i \(-0.206376\pi\)
−0.766098 + 0.642724i \(0.777804\pi\)
\(444\) −2.57539 11.2835i −0.122223 0.535493i
\(445\) −1.92334 3.99385i −0.0911750 0.189327i
\(446\) −12.6174 + 15.8217i −0.597452 + 0.749181i
\(447\) 31.7220 + 25.2974i 1.50040 + 1.19653i
\(448\) 20.4920 + 4.67716i 0.968156 + 0.220975i
\(449\) 1.89193 + 3.92863i 0.0892857 + 0.185404i 0.940830 0.338879i \(-0.110048\pi\)
−0.851544 + 0.524283i \(0.824333\pi\)
\(450\) 16.9216 + 8.14902i 0.797693 + 0.384149i
\(451\) −15.8397 + 69.3982i −0.745861 + 3.26783i
\(452\) −2.51900 0.574945i −0.118484 0.0270431i
\(453\) −20.3562 + 42.2701i −0.956418 + 1.98602i
\(454\) −17.9996 37.3766i −0.844765 1.75417i
\(455\) 0.0562362 0.246387i 0.00263639 0.0115508i
\(456\) 2.50422 + 1.99705i 0.117271 + 0.0935206i
\(457\) 23.6788 29.6922i 1.10765 1.38894i 0.194701 0.980863i \(-0.437626\pi\)
0.912945 0.408082i \(-0.133802\pi\)
\(458\) −3.58999 + 1.72885i −0.167749 + 0.0807837i
\(459\) −8.24038 6.11369i −0.384628 0.285363i
\(460\) −3.50794 4.39882i −0.163559 0.205096i
\(461\) 8.90606 + 39.0200i 0.414797 + 1.81734i 0.560670 + 0.828039i \(0.310544\pi\)
−0.145874 + 0.989303i \(0.546599\pi\)
\(462\) 27.4680 57.0380i 1.27793 2.65365i
\(463\) 1.83092 2.29591i 0.0850903 0.106700i −0.737464 0.675386i \(-0.763977\pi\)
0.822554 + 0.568687i \(0.192548\pi\)
\(464\) −3.57384 + 7.42115i −0.165911 + 0.344518i
\(465\) −1.24962 + 0.996536i −0.0579496 + 0.0462133i
\(466\) 8.38057i 0.388222i
\(467\) −9.57278 −0.442975 −0.221488 0.975163i \(-0.571091\pi\)
−0.221488 + 0.975163i \(0.571091\pi\)
\(468\) −0.888349 1.11395i −0.0410640 0.0514926i
\(469\) 3.14298 + 6.52646i 0.145129 + 0.301364i
\(470\) 5.92471 + 1.35228i 0.273287 + 0.0623759i
\(471\) −2.56062 + 0.584445i −0.117987 + 0.0269298i
\(472\) −4.21733 −0.194119
\(473\) −41.6377 + 3.62325i −1.91450 + 0.166597i
\(474\) −6.63627 −0.304814
\(475\) 3.65681 + 16.0215i 0.167786 + 0.735117i
\(476\) −9.29404 17.6925i −0.425992 0.810937i
\(477\) −9.41677 + 4.53488i −0.431164 + 0.207638i
\(478\) −21.0547 26.4017i −0.963017 1.20759i
\(479\) 33.5306i 1.53205i 0.642810 + 0.766026i \(0.277768\pi\)
−0.642810 + 0.766026i \(0.722232\pi\)
\(480\) −5.99852 −0.273794
\(481\) −0.638399 + 0.509106i −0.0291085 + 0.0232132i
\(482\) 1.62213 3.36838i 0.0738859 0.153426i
\(483\) 28.7746 + 22.9470i 1.30929 + 1.04412i
\(484\) 58.9941 + 28.4101i 2.68155 + 1.29137i
\(485\) −0.952062 4.17125i −0.0432309 0.189407i
\(486\) −27.3702 + 21.8270i −1.24154 + 0.990092i
\(487\) 3.23348 0.738020i 0.146523 0.0334429i −0.148630 0.988893i \(-0.547486\pi\)
0.295153 + 0.955450i \(0.404629\pi\)
\(488\) 1.74723 + 3.62816i 0.0790934 + 0.164239i
\(489\) 14.6487 18.3688i 0.662435 0.830667i
\(490\) 1.17680 + 0.938466i 0.0531624 + 0.0423956i
\(491\) −2.54901 + 11.1679i −0.115035 + 0.504003i 0.884278 + 0.466960i \(0.154651\pi\)
−0.999314 + 0.0370425i \(0.988206\pi\)
\(492\) 49.0947 23.6428i 2.21336 1.06590i
\(493\) 9.28582 2.46316i 0.418212 0.110935i
\(494\) 0.528424 2.31518i 0.0237749 0.104165i
\(495\) −0.889173 + 3.89572i −0.0399654 + 0.175100i
\(496\) −3.31727 + 6.88838i −0.148950 + 0.309298i
\(497\) 9.35654 4.50587i 0.419698 0.202116i
\(498\) 44.2094 + 10.0905i 1.98107 + 0.452167i
\(499\) −7.43590 5.92993i −0.332877 0.265460i 0.442760 0.896640i \(-0.353999\pi\)
−0.775636 + 0.631180i \(0.782571\pi\)
\(500\) 5.72072 + 4.56213i 0.255839 + 0.204024i
\(501\) 25.9738 12.5083i 1.16042 0.558831i
\(502\) 5.98683 + 26.2300i 0.267205 + 1.17070i
\(503\) 13.9322 11.1106i 0.621206 0.495395i −0.261573 0.965184i \(-0.584241\pi\)
0.882779 + 0.469789i \(0.155670\pi\)
\(504\) −1.72790 + 0.394382i −0.0769667 + 0.0175672i
\(505\) 2.29876 4.77343i 0.102294 0.212415i
\(506\) −61.9966 + 77.7413i −2.75609 + 3.45602i
\(507\) 12.3373 25.6187i 0.547920 1.13777i
\(508\) −23.3818 29.3198i −1.03740 1.30086i
\(509\) −16.3148 −0.723141 −0.361571 0.932345i \(-0.617759\pi\)
−0.361571 + 0.932345i \(0.617759\pi\)
\(510\) 4.06638 + 4.74928i 0.180062 + 0.210302i
\(511\) −11.0995 13.9183i −0.491013 0.615710i
\(512\) −28.6015 + 13.7737i −1.26402 + 0.608719i
\(513\) −8.15700 1.86178i −0.360141 0.0821997i
\(514\) 9.12180 + 39.9652i 0.402345 + 1.76279i
\(515\) 4.31641i 0.190204i
\(516\) 22.0416 + 23.1907i 0.970327 + 1.02091i
\(517\) 56.3835i 2.47974i
\(518\) 2.37513 + 10.4061i 0.104357 + 0.457218i
\(519\) 5.29690 23.2072i 0.232508 1.01868i
\(520\) −0.0215807 0.0448128i −0.000946376 0.00196517i
\(521\) −13.6493 + 10.8850i −0.597989 + 0.476880i −0.875090 0.483961i \(-0.839198\pi\)
0.277101 + 0.960841i \(0.410626\pi\)
\(522\) 8.95303i 0.391863i
\(523\) 7.78404 0.340372 0.170186 0.985412i \(-0.445563\pi\)
0.170186 + 0.985412i \(0.445563\pi\)
\(524\) −9.31826 + 7.43106i −0.407070 + 0.324628i
\(525\) −21.3176 10.2660i −0.930378 0.448046i
\(526\) −4.43358 + 5.55953i −0.193313 + 0.242407i
\(527\) 8.61919 2.28633i 0.375458 0.0995940i
\(528\) 11.0673 + 48.4891i 0.481644 + 2.11022i
\(529\) −21.7018 27.2132i −0.943557 1.18318i
\(530\) −3.73807 + 0.853191i −0.162371 + 0.0370602i
\(531\) −16.4864 + 7.93945i −0.715450 + 0.344543i
\(532\) −12.7410 10.1606i −0.552392 0.440518i
\(533\) −3.00569 2.39696i −0.130191 0.103824i
\(534\) 58.4682 + 13.3450i 2.53017 + 0.577494i
\(535\) 1.22377 0.589335i 0.0529080 0.0254792i
\(536\) 1.28447 + 0.618569i 0.0554807 + 0.0267181i
\(537\) −39.6396 9.04749i −1.71058 0.390428i
\(538\) 14.8960 + 3.39992i 0.642213 + 0.146581i
\(539\) 6.05926 12.5822i 0.260991 0.541953i
\(540\) −1.65918 + 0.799019i −0.0713998 + 0.0343843i
\(541\) −25.5754 5.83741i −1.09957 0.250970i −0.366022 0.930606i \(-0.619281\pi\)
−0.733549 + 0.679636i \(0.762138\pi\)
\(542\) 16.8256 21.0986i 0.722721 0.906263i
\(543\) −25.0065 + 31.3572i −1.07313 + 1.34567i
\(544\) 30.6406 + 13.4600i 1.31371 + 0.577094i
\(545\) 0.815747 + 3.57402i 0.0349428 + 0.153094i
\(546\) 2.13176 + 2.67315i 0.0912311 + 0.114400i
\(547\) 39.9295 9.11364i 1.70726 0.389671i 0.746138 0.665792i \(-0.231906\pi\)
0.961123 + 0.276121i \(0.0890489\pi\)
\(548\) −8.46928 4.07859i −0.361790 0.174229i
\(549\) 13.6606 + 10.8939i 0.583019 + 0.464942i
\(550\) 27.7361 57.5946i 1.18267 2.45584i
\(551\) 6.12466 4.88425i 0.260919 0.208076i
\(552\) 7.24341 0.308300
\(553\) 3.21298 0.136630
\(554\) −33.4124 + 26.6455i −1.41956 + 1.13206i
\(555\) −0.760611 1.57943i −0.0322861 0.0670429i
\(556\) 48.0355 + 10.9638i 2.03716 + 0.464968i
\(557\) −3.98814 17.4732i −0.168983 0.740363i −0.986406 0.164325i \(-0.947455\pi\)
0.817423 0.576038i \(-0.195402\pi\)
\(558\) 8.31029i 0.351802i
\(559\) 0.799393 2.11096i 0.0338107 0.0892842i
\(560\) 2.59537 0.109674
\(561\) 34.5640 46.5874i 1.45929 1.96692i
\(562\) −3.63848 + 15.9412i −0.153480 + 0.672440i
\(563\) 23.5981 11.3643i 0.994543 0.478947i 0.135460 0.990783i \(-0.456749\pi\)
0.859083 + 0.511836i \(0.171034\pi\)
\(564\) −33.7454 + 26.9110i −1.42094 + 1.13316i
\(565\) −0.391356 −0.0164645
\(566\) 27.9305i 1.17401i
\(567\) 19.0501 15.1919i 0.800028 0.638001i
\(568\) 0.886801 1.84146i 0.0372093 0.0772660i
\(569\) −5.53343 + 6.93870i −0.231973 + 0.290885i −0.884171 0.467164i \(-0.845276\pi\)
0.652198 + 0.758049i \(0.273847\pi\)
\(570\) 4.59337 + 2.21205i 0.192395 + 0.0926527i
\(571\) 18.4174 4.20364i 0.770743 0.175917i 0.180973 0.983488i \(-0.442075\pi\)
0.589770 + 0.807571i \(0.299218\pi\)
\(572\) −3.79147 + 3.02360i −0.158529 + 0.126423i
\(573\) 7.98972 1.82360i 0.333775 0.0761821i
\(574\) −45.2770 + 21.8043i −1.88983 + 0.910092i
\(575\) 29.0554 + 23.1709i 1.21169 + 0.966294i
\(576\) 11.1910 14.0330i 0.466290 0.584709i
\(577\) −1.47345 + 6.45560i −0.0613405 + 0.268750i −0.996293 0.0860220i \(-0.972584\pi\)
0.934953 + 0.354772i \(0.115442\pi\)
\(578\) −10.1143 33.3839i −0.420700 1.38859i
\(579\) 28.1933 + 13.5772i 1.17167 + 0.564249i
\(580\) 0.383677 1.68100i 0.0159313 0.0697996i
\(581\) −21.4042 4.88537i −0.887996 0.202679i
\(582\) 52.1517 + 25.1150i 2.16176 + 1.04105i
\(583\) 15.4350 + 32.0510i 0.639251 + 1.32742i
\(584\) −3.41581 0.779636i −0.141347 0.0322616i
\(585\) −0.168727 0.134555i −0.00697600 0.00556317i
\(586\) 7.92454 9.93706i 0.327360 0.410496i
\(587\) 21.5635 10.3844i 0.890021 0.428611i 0.0677464 0.997703i \(-0.478419\pi\)
0.822274 + 0.569091i \(0.192705\pi\)
\(588\) −10.4224 + 2.37885i −0.429813 + 0.0981020i
\(589\) 5.68497 4.53361i 0.234245 0.186804i
\(590\) −6.54444 + 1.49373i −0.269430 + 0.0614957i
\(591\) 41.9929 + 20.2227i 1.72736 + 0.831851i
\(592\) −6.55611 5.22832i −0.269455 0.214883i
\(593\) 0.476611 + 0.229524i 0.0195721 + 0.00942540i 0.443644 0.896203i \(-0.353685\pi\)
−0.424072 + 0.905628i \(0.639400\pi\)
\(594\) 20.2922 + 25.4456i 0.832598 + 1.04405i
\(595\) −1.96876 2.29939i −0.0807112 0.0942658i
\(596\) −40.6279 −1.66418
\(597\) 37.3103 + 46.7856i 1.52701 + 1.91481i
\(598\) −2.33006 4.83843i −0.0952834 0.197858i
\(599\) 1.50501 6.59387i 0.0614929 0.269418i −0.934830 0.355096i \(-0.884448\pi\)
0.996323 + 0.0856775i \(0.0273055\pi\)
\(600\) −4.53993 + 1.03621i −0.185342 + 0.0423030i
\(601\) 6.23297i 0.254248i 0.991887 + 0.127124i \(0.0405747\pi\)
−0.991887 + 0.127124i \(0.959425\pi\)
\(602\) −20.3276 21.3874i −0.828491 0.871684i
\(603\) 6.18577 0.251904
\(604\) −10.4537 45.8008i −0.425356 1.86361i
\(605\) 9.66915 + 2.20692i 0.393107 + 0.0897241i
\(606\) 31.0999 + 64.5797i 1.26335 + 2.62337i
\(607\) −10.2082 + 8.14080i −0.414340 + 0.330425i −0.808372 0.588672i \(-0.799651\pi\)
0.394033 + 0.919096i \(0.371080\pi\)
\(608\) 27.2895 1.10674
\(609\) 11.2789i 0.457044i
\(610\) 3.99639 + 5.01132i 0.161809 + 0.202902i
\(611\) 2.74358 + 1.32124i 0.110993 + 0.0534515i
\(612\) −17.0557 + 0.595306i −0.689434 + 0.0240638i
\(613\) 13.3679 + 6.43764i 0.539924 + 0.260014i 0.683911 0.729566i \(-0.260278\pi\)
−0.143986 + 0.989580i \(0.545992\pi\)
\(614\) 5.49670 + 24.0826i 0.221829 + 0.971894i
\(615\) 6.45290 5.14601i 0.260206 0.207507i
\(616\) 1.34232 + 5.88110i 0.0540837 + 0.236956i
\(617\) −7.91155 16.4285i −0.318507 0.661387i 0.678832 0.734294i \(-0.262487\pi\)
−0.997339 + 0.0729071i \(0.976772\pi\)
\(618\) 45.6563 + 36.4097i 1.83656 + 1.46461i
\(619\) 16.3012 + 12.9997i 0.655199 + 0.522504i 0.893715 0.448635i \(-0.148090\pi\)
−0.238516 + 0.971138i \(0.576661\pi\)
\(620\) 0.356132 1.56032i 0.0143026 0.0626639i
\(621\) −17.0471 + 8.20945i −0.684077 + 0.329434i
\(622\) −13.8503 + 28.7605i −0.555348 + 1.15319i
\(623\) −28.3077 6.46104i −1.13412 0.258856i
\(624\) −2.61879 0.597721i −0.104835 0.0239280i
\(625\) −21.0208 10.1231i −0.840830 0.404923i
\(626\) −1.32406 2.74945i −0.0529202 0.109890i
\(627\) 10.5257 46.1160i 0.420355 1.84170i
\(628\) 1.63975 2.05619i 0.0654333 0.0820508i
\(629\) 0.341165 + 9.77447i 0.0136031 + 0.389734i
\(630\) −2.54166 + 1.22400i −0.101262 + 0.0487653i
\(631\) 3.79045 + 16.6070i 0.150895 + 0.661115i 0.992626 + 0.121218i \(0.0386799\pi\)
−0.841731 + 0.539898i \(0.818463\pi\)
\(632\) 0.494389 0.394262i 0.0196657 0.0156829i
\(633\) −2.66295 11.6671i −0.105843 0.463727i
\(634\) −21.4956 + 44.6362i −0.853701 + 1.77273i
\(635\) −4.44098 3.54156i −0.176235 0.140543i
\(636\) 11.8156 24.5353i 0.468518 0.972888i
\(637\) 0.470253 + 0.589678i 0.0186321 + 0.0233639i
\(638\) −30.4726 −1.20642
\(639\) 8.86812i 0.350817i
\(640\) 0.898754 0.716733i 0.0355264 0.0283313i
\(641\) −8.98069 18.6486i −0.354716 0.736575i 0.644901 0.764266i \(-0.276899\pi\)
−0.999617 + 0.0276912i \(0.991184\pi\)
\(642\) −4.08907 + 17.9154i −0.161383 + 0.707063i
\(643\) −29.4293 + 6.71704i −1.16058 + 0.264894i −0.759099 0.650975i \(-0.774360\pi\)
−0.401478 + 0.915869i \(0.631503\pi\)
\(644\) −36.8530 −1.45221
\(645\) 4.03649 + 2.68165i 0.158937 + 0.105590i
\(646\) −18.4995 21.6062i −0.727852 0.850086i
\(647\) −8.25475 36.1664i −0.324528 1.42185i −0.829400 0.558655i \(-0.811317\pi\)
0.504872 0.863194i \(-0.331540\pi\)
\(648\) 1.06709 4.67523i 0.0419193 0.183660i
\(649\) 27.0228 + 56.1134i 1.06074 + 2.20264i
\(650\) 2.15257 + 2.69924i 0.0844307 + 0.105873i
\(651\) 10.4692i 0.410320i
\(652\) 23.5258i 0.921343i
\(653\) 6.87582 5.48328i 0.269071 0.214577i −0.479654 0.877458i \(-0.659238\pi\)
0.748725 + 0.662881i \(0.230666\pi\)
\(654\) −44.6847 21.5190i −1.74731 0.841461i
\(655\) −1.12556 + 1.41140i −0.0439792 + 0.0551481i
\(656\) 17.1301 35.5709i 0.668816 1.38881i
\(657\) −14.8208 + 3.38276i −0.578215 + 0.131974i
\(658\) 31.1213 24.8184i 1.21323 0.967521i
\(659\) −3.05784 13.3973i −0.119117 0.521884i −0.998916 0.0465398i \(-0.985181\pi\)
0.879800 0.475344i \(-0.157677\pi\)
\(660\) −4.51729 9.38025i −0.175835 0.365126i
\(661\) −2.95752 + 3.70861i −0.115034 + 0.144248i −0.836015 0.548707i \(-0.815120\pi\)
0.720981 + 0.692955i \(0.243692\pi\)
\(662\) −38.9839 + 48.8842i −1.51515 + 1.89994i
\(663\) 1.45697 + 2.77354i 0.0565838 + 0.107716i
\(664\) −3.89299 + 1.87477i −0.151077 + 0.0727551i
\(665\) −2.22391 1.07098i −0.0862394 0.0415307i
\(666\) 8.88616 + 2.02821i 0.344332 + 0.0785915i
\(667\) 3.94205 17.2713i 0.152637 0.668746i
\(668\) −12.5250 + 26.0083i −0.484605 + 1.00629i
\(669\) −9.44577 19.6143i −0.365194 0.758334i
\(670\) 2.21233 + 0.504949i 0.0854696 + 0.0195079i
\(671\) 37.0788 46.4953i 1.43141 1.79493i
\(672\) −24.4976 + 30.7190i −0.945015 + 1.18501i
\(673\) 3.21871 + 6.68373i 0.124072 + 0.257639i 0.953748 0.300607i \(-0.0971891\pi\)
−0.829676 + 0.558245i \(0.811475\pi\)
\(674\) 24.4287 5.57568i 0.940957 0.214767i
\(675\) 9.51015 7.58409i 0.366046 0.291912i
\(676\) 6.33572 + 27.7586i 0.243681 + 1.06764i
\(677\) 3.06711 6.36892i 0.117879 0.244777i −0.833678 0.552251i \(-0.813769\pi\)
0.951557 + 0.307473i \(0.0994834\pi\)
\(678\) 3.30116 4.13952i 0.126780 0.158977i
\(679\) −25.2495 12.1595i −0.968988 0.466640i
\(680\) −0.585093 0.112228i −0.0224373 0.00430374i
\(681\) 44.6286 1.71017
\(682\) −28.2850 −1.08309
\(683\) 2.65932 2.12073i 0.101756 0.0811476i −0.571290 0.820748i \(-0.693557\pi\)
0.673046 + 0.739600i \(0.264986\pi\)
\(684\) −12.5379 + 6.03795i −0.479400 + 0.230867i
\(685\) −1.38812 0.316829i −0.0530372 0.0121054i
\(686\) 40.3201 9.20279i 1.53943 0.351364i
\(687\) 4.28653i 0.163541i
\(688\) 22.9620 + 3.17966i 0.875419 + 0.121223i
\(689\) −1.92127 −0.0731945
\(690\) 11.2403 2.56552i 0.427910 0.0976677i
\(691\) 1.24175 + 0.283422i 0.0472385 + 0.0107819i 0.246075 0.969251i \(-0.420859\pi\)
−0.198836 + 0.980033i \(0.563716\pi\)
\(692\) 10.3419 + 21.4752i 0.393141 + 0.816365i
\(693\) 16.3190 + 20.4634i 0.619908 + 0.777341i
\(694\) 23.2156i 0.881252i
\(695\) 7.46288 0.283083
\(696\) 1.38402 + 1.73551i 0.0524613 + 0.0657844i
\(697\) −44.5086 + 11.8064i −1.68588 + 0.447198i
\(698\) 30.9163 38.7678i 1.17020 1.46738i
\(699\) −8.12281 3.91174i −0.307233 0.147956i
\(700\) 23.0982 5.27202i 0.873031 0.199264i
\(701\) −19.8282 24.8637i −0.748899 0.939090i 0.250681 0.968070i \(-0.419345\pi\)
−0.999580 + 0.0289802i \(0.990774\pi\)
\(702\) −1.71367 + 0.391134i −0.0646784 + 0.0147624i
\(703\) 3.46030 + 7.18539i 0.130508 + 0.271002i
\(704\) −47.7629 38.0897i −1.80013 1.43556i
\(705\) −4.07612 + 5.11129i −0.153516 + 0.192503i
\(706\) 3.84712 16.8553i 0.144788 0.634359i
\(707\) −15.0572 31.2666i −0.566284 1.17590i
\(708\) 20.6861 42.9552i 0.777433 1.61436i
\(709\) 9.21098 + 2.10235i 0.345926 + 0.0789553i 0.391954 0.919985i \(-0.371799\pi\)
−0.0460282 + 0.998940i \(0.514656\pi\)
\(710\) 0.723912 3.17166i 0.0271679 0.119030i
\(711\) 1.19044 2.47197i 0.0446450 0.0927063i
\(712\) −5.14859 + 2.47943i −0.192952 + 0.0929206i
\(713\) 3.65905 16.0313i 0.137033 0.600379i
\(714\) 40.9283 1.42855i 1.53170 0.0534622i
\(715\) −0.457974 + 0.574281i −0.0171272 + 0.0214769i
\(716\) 36.6812 17.6647i 1.37084 0.660163i
\(717\) 35.4172 8.08375i 1.32268 0.301893i
\(718\) 1.76431 + 2.21237i 0.0658433 + 0.0825649i
\(719\) 19.5893 4.47114i 0.730559 0.166745i 0.158968 0.987284i \(-0.449183\pi\)
0.571592 + 0.820538i \(0.306326\pi\)
\(720\) 0.961609 1.99680i 0.0358371 0.0744164i
\(721\) −22.1047 17.6279i −0.823223 0.656498i
\(722\) 14.2285 + 6.85208i 0.529529 + 0.255008i
\(723\) 2.50763 + 3.14447i 0.0932598 + 0.116944i
\(724\) 40.1607i 1.49256i
\(725\) 11.3890i 0.422976i
\(726\) −104.904 + 83.6585i −3.89337 + 3.10486i
\(727\) −12.5245 + 6.03149i −0.464508 + 0.223695i −0.651474 0.758671i \(-0.725849\pi\)
0.186966 + 0.982366i \(0.440135\pi\)
\(728\) −0.317624 0.0724957i −0.0117719 0.00268687i
\(729\) −0.962879 4.21865i −0.0356622 0.156246i
\(730\) −5.57677 −0.206406
\(731\) −14.6012 22.7554i −0.540043 0.841637i
\(732\) −45.5245 −1.68263
\(733\) −1.57644 6.90685i −0.0582272 0.255110i 0.937434 0.348163i \(-0.113195\pi\)
−0.995661 + 0.0930531i \(0.970337\pi\)
\(734\) −7.61733 1.73861i −0.281161 0.0641731i
\(735\) −1.45889 + 0.702564i −0.0538119 + 0.0259145i
\(736\) 48.2494 38.4776i 1.77849 1.41830i
\(737\) 21.0540i 0.775533i
\(738\) 42.9135i 1.57967i
\(739\) 26.7256 + 33.5129i 0.983118 + 1.23279i 0.972513 + 0.232847i \(0.0748042\pi\)
0.0106046 + 0.999944i \(0.496624\pi\)
\(740\) 1.58152 + 0.761622i 0.0581380 + 0.0279978i
\(741\) 1.99732 + 1.59281i 0.0733734 + 0.0585133i
\(742\) −10.8968 + 22.6274i −0.400033 + 0.830677i
\(743\) −14.2307 + 3.24806i −0.522074 + 0.119160i −0.475433 0.879752i \(-0.657709\pi\)
−0.0466405 + 0.998912i \(0.514852\pi\)
\(744\) 1.28466 + 1.61092i 0.0470981 + 0.0590591i
\(745\) −5.99947 + 1.36934i −0.219804 + 0.0501688i
\(746\) −52.5370 + 25.3005i −1.92352 + 0.926317i
\(747\) −11.6891 + 14.6577i −0.427683 + 0.536297i
\(748\) 2.02619 + 58.0509i 0.0740849 + 2.12255i
\(749\) 1.97974 8.67382i 0.0723382 0.316934i
\(750\) −13.5092 + 6.50568i −0.493286 + 0.237554i
\(751\) 5.82215 12.0898i 0.212453 0.441164i −0.767323 0.641261i \(-0.778412\pi\)
0.979776 + 0.200097i \(0.0641258\pi\)
\(752\) −6.95877 + 30.4884i −0.253760 + 1.11180i
\(753\) −28.2177 6.44051i −1.02831 0.234705i
\(754\) 0.714067 1.48278i 0.0260048 0.0539995i
\(755\) −3.08738 6.41101i −0.112361 0.233321i
\(756\) −2.68413 + 11.7600i −0.0976210 + 0.427706i