Properties

Label 91.2.ba.a.59.3
Level $91$
Weight $2$
Character 91.59
Analytic conductor $0.727$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.ba (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(7\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 59.3
Character \(\chi\) \(=\) 91.59
Dual form 91.2.ba.a.54.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.876516 - 0.876516i) q^{2} +(1.92717 - 1.11265i) q^{3} -0.463441i q^{4} +(-2.51660 - 0.674321i) q^{5} +(-2.66446 - 0.713939i) q^{6} +(2.20101 + 1.46818i) q^{7} +(-2.15924 + 2.15924i) q^{8} +(0.975997 - 1.69048i) q^{9} +O(q^{10})\) \(q+(-0.876516 - 0.876516i) q^{2} +(1.92717 - 1.11265i) q^{3} -0.463441i q^{4} +(-2.51660 - 0.674321i) q^{5} +(-2.66446 - 0.713939i) q^{6} +(2.20101 + 1.46818i) q^{7} +(-2.15924 + 2.15924i) q^{8} +(0.975997 - 1.69048i) q^{9} +(1.61479 + 2.79689i) q^{10} +(1.36505 + 0.365763i) q^{11} +(-0.515649 - 0.893131i) q^{12} +(0.445209 - 3.57796i) q^{13} +(-0.642345 - 3.21610i) q^{14} +(-5.60021 + 1.50057i) q^{15} +2.85834 q^{16} +2.82813 q^{17} +(-2.33720 + 0.626252i) q^{18} +(1.61939 + 6.04364i) q^{19} +(-0.312508 + 1.16630i) q^{20} +(5.87530 + 0.380461i) q^{21} +(-0.875887 - 1.51708i) q^{22} +1.01874i q^{23} +(-1.75875 + 6.56373i) q^{24} +(1.54845 + 0.893996i) q^{25} +(-3.52637 + 2.74590i) q^{26} +2.33214i q^{27} +(0.680412 - 1.02004i) q^{28} +(-2.66549 + 4.61676i) q^{29} +(6.22395 + 3.59340i) q^{30} +(-1.73101 - 6.46023i) q^{31} +(1.81311 + 1.81311i) q^{32} +(3.03765 - 0.813935i) q^{33} +(-2.47890 - 2.47890i) q^{34} +(-4.54905 - 5.17900i) q^{35} +(-0.783435 - 0.452317i) q^{36} +(-6.50927 + 6.50927i) q^{37} +(3.87792 - 6.71676i) q^{38} +(-3.12303 - 7.39071i) q^{39} +(6.88998 - 3.97793i) q^{40} +(-2.51937 - 9.40242i) q^{41} +(-4.81632 - 5.48328i) q^{42} +(0.850246 - 0.490890i) q^{43} +(0.169509 - 0.632618i) q^{44} +(-3.59612 + 3.59612i) q^{45} +(0.892940 - 0.892940i) q^{46} +(0.594605 - 2.21910i) q^{47} +(5.50852 - 3.18034i) q^{48} +(2.68892 + 6.46295i) q^{49} +(-0.573636 - 2.14084i) q^{50} +(5.45029 - 3.14673i) q^{51} +(-1.65817 - 0.206328i) q^{52} +(-2.52978 + 4.38171i) q^{53} +(2.04415 - 2.04415i) q^{54} +(-3.18863 - 1.84096i) q^{55} +(-7.92268 + 1.58238i) q^{56} +(9.84531 + 9.84531i) q^{57} +(6.38300 - 1.71032i) q^{58} +(-5.39402 - 5.39402i) q^{59} +(0.695426 + 2.59537i) q^{60} +(-6.75223 - 3.89840i) q^{61} +(-4.14523 + 7.17976i) q^{62} +(4.63010 - 2.28783i) q^{63} -8.89512i q^{64} +(-3.53311 + 8.70408i) q^{65} +(-3.37597 - 1.94912i) q^{66} +(-3.38240 + 12.6233i) q^{67} -1.31067i q^{68} +(1.13350 + 1.96328i) q^{69} +(-0.552160 + 8.52679i) q^{70} +(2.97420 - 11.0999i) q^{71} +(1.54273 + 5.75756i) q^{72} +(8.43566 - 2.26033i) q^{73} +11.4110 q^{74} +3.97883 q^{75} +(2.80087 - 0.750490i) q^{76} +(2.46748 + 2.80917i) q^{77} +(-3.74068 + 9.21546i) q^{78} +(-2.78395 - 4.82194i) q^{79} +(-7.19330 - 1.92744i) q^{80} +(5.52285 + 9.56586i) q^{81} +(-6.03310 + 10.4496i) q^{82} +(-0.445401 + 0.445401i) q^{83} +(0.176321 - 2.72286i) q^{84} +(-7.11727 - 1.90707i) q^{85} +(-1.17553 - 0.314981i) q^{86} +11.8631i q^{87} +(-3.73724 + 2.15770i) q^{88} +(0.108264 + 0.108264i) q^{89} +6.30411 q^{90} +(6.23298 - 7.22149i) q^{91} +0.472125 q^{92} +(-10.5240 - 10.5240i) q^{93} +(-2.46625 + 1.42389i) q^{94} -16.3014i q^{95} +(5.51153 + 1.47681i) q^{96} +(-2.87974 - 0.771623i) q^{97} +(3.30799 - 8.02176i) q^{98} +(1.95059 - 1.95059i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 2q^{2} - 6q^{3} - 6q^{5} - 12q^{6} - 6q^{7} - 4q^{8} + 6q^{9} + O(q^{10}) \) \( 28q - 2q^{2} - 6q^{3} - 6q^{5} - 12q^{6} - 6q^{7} - 4q^{8} + 6q^{9} - 6q^{10} + 2q^{11} - 8q^{12} - 20q^{14} + 10q^{15} + 4q^{16} - 12q^{17} + 2q^{18} + 14q^{19} + 36q^{20} - 6q^{21} - 8q^{22} - 18q^{24} + 24q^{26} + 2q^{28} - 8q^{29} - 30q^{30} - 4q^{31} + 10q^{32} - 12q^{33} - 12q^{34} - 20q^{35} + 54q^{36} - 10q^{37} - 20q^{39} + 48q^{40} - 18q^{41} - 10q^{42} + 48q^{43} - 6q^{44} - 6q^{45} + 24q^{46} - 6q^{47} - 12q^{48} - 50q^{49} + 10q^{50} - 12q^{51} - 26q^{52} + 12q^{53} - 30q^{54} + 6q^{55} + 54q^{56} + 12q^{57} - 46q^{58} + 42q^{59} + 10q^{60} + 30q^{61} + 36q^{62} + 54q^{63} + 28q^{65} + 66q^{66} - 10q^{67} - 42q^{69} - 88q^{70} - 42q^{71} + 46q^{72} + 40q^{73} + 12q^{74} - 40q^{75} - 52q^{76} - 62q^{78} + 4q^{79} + 30q^{80} - 6q^{81} - 54q^{82} + 66q^{83} + 104q^{84} - 54q^{85} - 18q^{86} - 6q^{88} + 72q^{90} + 26q^{91} - 156q^{92} + 20q^{93} - 18q^{94} - 66q^{96} - 62q^{97} - 56q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{11}{12}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.876516 0.876516i −0.619790 0.619790i 0.325687 0.945478i \(-0.394404\pi\)
−0.945478 + 0.325687i \(0.894404\pi\)
\(3\) 1.92717 1.11265i 1.11265 0.642391i 0.173138 0.984898i \(-0.444609\pi\)
0.939515 + 0.342507i \(0.111276\pi\)
\(4\) 0.463441i 0.231720i
\(5\) −2.51660 0.674321i −1.12546 0.301566i −0.352368 0.935862i \(-0.614623\pi\)
−0.773090 + 0.634296i \(0.781290\pi\)
\(6\) −2.66446 0.713939i −1.08776 0.291464i
\(7\) 2.20101 + 1.46818i 0.831905 + 0.554918i
\(8\) −2.15924 + 2.15924i −0.763408 + 0.763408i
\(9\) 0.975997 1.69048i 0.325332 0.563492i
\(10\) 1.61479 + 2.79689i 0.510641 + 0.884455i
\(11\) 1.36505 + 0.365763i 0.411577 + 0.110282i 0.458665 0.888609i \(-0.348328\pi\)
−0.0470887 + 0.998891i \(0.514994\pi\)
\(12\) −0.515649 0.893131i −0.148855 0.257825i
\(13\) 0.445209 3.57796i 0.123479 0.992347i
\(14\) −0.642345 3.21610i −0.171674 0.859539i
\(15\) −5.60021 + 1.50057i −1.44597 + 0.387446i
\(16\) 2.85834 0.714585
\(17\) 2.82813 0.685922 0.342961 0.939350i \(-0.388570\pi\)
0.342961 + 0.939350i \(0.388570\pi\)
\(18\) −2.33720 + 0.626252i −0.550884 + 0.147609i
\(19\) 1.61939 + 6.04364i 0.371513 + 1.38651i 0.858373 + 0.513025i \(0.171475\pi\)
−0.486861 + 0.873480i \(0.661858\pi\)
\(20\) −0.312508 + 1.16630i −0.0698789 + 0.260792i
\(21\) 5.87530 + 0.380461i 1.28210 + 0.0830233i
\(22\) −0.875887 1.51708i −0.186740 0.323443i
\(23\) 1.01874i 0.212422i 0.994344 + 0.106211i \(0.0338718\pi\)
−0.994344 + 0.106211i \(0.966128\pi\)
\(24\) −1.75875 + 6.56373i −0.359002 + 1.33982i
\(25\) 1.54845 + 0.893996i 0.309689 + 0.178799i
\(26\) −3.52637 + 2.74590i −0.691578 + 0.538516i
\(27\) 2.33214i 0.448820i
\(28\) 0.680412 1.02004i 0.128586 0.192769i
\(29\) −2.66549 + 4.61676i −0.494968 + 0.857310i −0.999983 0.00580039i \(-0.998154\pi\)
0.505015 + 0.863111i \(0.331487\pi\)
\(30\) 6.22395 + 3.59340i 1.13633 + 0.656062i
\(31\) −1.73101 6.46023i −0.310899 1.16029i −0.927747 0.373210i \(-0.878257\pi\)
0.616848 0.787083i \(-0.288409\pi\)
\(32\) 1.81311 + 1.81311i 0.320515 + 0.320515i
\(33\) 3.03765 0.813935i 0.528786 0.141688i
\(34\) −2.47890 2.47890i −0.425128 0.425128i
\(35\) −4.54905 5.17900i −0.768930 0.875411i
\(36\) −0.783435 0.452317i −0.130573 0.0753861i
\(37\) −6.50927 + 6.50927i −1.07012 + 1.07012i −0.0727687 + 0.997349i \(0.523183\pi\)
−0.997349 + 0.0727687i \(0.976817\pi\)
\(38\) 3.87792 6.71676i 0.629082 1.08960i
\(39\) −3.12303 7.39071i −0.500086 1.18346i
\(40\) 6.88998 3.97793i 1.08940 0.628966i
\(41\) −2.51937 9.40242i −0.393459 1.46841i −0.824388 0.566025i \(-0.808481\pi\)
0.430929 0.902386i \(-0.358186\pi\)
\(42\) −4.81632 5.48328i −0.743174 0.846088i
\(43\) 0.850246 0.490890i 0.129661 0.0748600i −0.433766 0.901025i \(-0.642816\pi\)
0.563428 + 0.826165i \(0.309482\pi\)
\(44\) 0.169509 0.632618i 0.0255545 0.0953707i
\(45\) −3.59612 + 3.59612i −0.536078 + 0.536078i
\(46\) 0.892940 0.892940i 0.131657 0.131657i
\(47\) 0.594605 2.21910i 0.0867321 0.323688i −0.908904 0.417004i \(-0.863080\pi\)
0.995637 + 0.0933159i \(0.0297467\pi\)
\(48\) 5.50852 3.18034i 0.795086 0.459043i
\(49\) 2.68892 + 6.46295i 0.384132 + 0.923278i
\(50\) −0.573636 2.14084i −0.0811244 0.302760i
\(51\) 5.45029 3.14673i 0.763194 0.440630i
\(52\) −1.65817 0.206328i −0.229947 0.0286126i
\(53\) −2.52978 + 4.38171i −0.347492 + 0.601875i −0.985803 0.167904i \(-0.946300\pi\)
0.638311 + 0.769779i \(0.279633\pi\)
\(54\) 2.04415 2.04415i 0.278174 0.278174i
\(55\) −3.18863 1.84096i −0.429955 0.248235i
\(56\) −7.92268 + 1.58238i −1.05871 + 0.211454i
\(57\) 9.84531 + 9.84531i 1.30404 + 1.30404i
\(58\) 6.38300 1.71032i 0.838129 0.224576i
\(59\) −5.39402 5.39402i −0.702242 0.702242i 0.262650 0.964891i \(-0.415404\pi\)
−0.964891 + 0.262650i \(0.915404\pi\)
\(60\) 0.695426 + 2.59537i 0.0897792 + 0.335060i
\(61\) −6.75223 3.89840i −0.864534 0.499139i 0.000994018 1.00000i \(-0.499684\pi\)
−0.865528 + 0.500861i \(0.833017\pi\)
\(62\) −4.14523 + 7.17976i −0.526445 + 0.911830i
\(63\) 4.63010 2.28783i 0.583337 0.288239i
\(64\) 8.89512i 1.11189i
\(65\) −3.53311 + 8.70408i −0.438228 + 1.07961i
\(66\) −3.37597 1.94912i −0.415553 0.239920i
\(67\) −3.38240 + 12.6233i −0.413226 + 1.54218i 0.375137 + 0.926970i \(0.377596\pi\)
−0.788363 + 0.615211i \(0.789071\pi\)
\(68\) 1.31067i 0.158942i
\(69\) 1.13350 + 1.96328i 0.136458 + 0.236352i
\(70\) −0.552160 + 8.52679i −0.0659958 + 1.01915i
\(71\) 2.97420 11.0999i 0.352973 1.31731i −0.530044 0.847970i \(-0.677825\pi\)
0.883017 0.469341i \(-0.155509\pi\)
\(72\) 1.54273 + 5.75756i 0.181813 + 0.678536i
\(73\) 8.43566 2.26033i 0.987320 0.264552i 0.271196 0.962524i \(-0.412581\pi\)
0.716124 + 0.697973i \(0.245914\pi\)
\(74\) 11.4110 1.32650
\(75\) 3.97883 0.459436
\(76\) 2.80087 0.750490i 0.321282 0.0860871i
\(77\) 2.46748 + 2.80917i 0.281195 + 0.320135i
\(78\) −3.74068 + 9.21546i −0.423549 + 1.04345i
\(79\) −2.78395 4.82194i −0.313219 0.542511i 0.665838 0.746096i \(-0.268074\pi\)
−0.979057 + 0.203585i \(0.934741\pi\)
\(80\) −7.19330 1.92744i −0.804236 0.215494i
\(81\) 5.52285 + 9.56586i 0.613650 + 1.06287i
\(82\) −6.03310 + 10.4496i −0.666244 + 1.15397i
\(83\) −0.445401 + 0.445401i −0.0488891 + 0.0488891i −0.731129 0.682240i \(-0.761006\pi\)
0.682240 + 0.731129i \(0.261006\pi\)
\(84\) 0.176321 2.72286i 0.0192382 0.297088i
\(85\) −7.11727 1.90707i −0.771977 0.206851i
\(86\) −1.17553 0.314981i −0.126760 0.0339653i
\(87\) 11.8631i 1.27185i
\(88\) −3.73724 + 2.15770i −0.398391 + 0.230011i
\(89\) 0.108264 + 0.108264i 0.0114760 + 0.0114760i 0.712821 0.701346i \(-0.247417\pi\)
−0.701346 + 0.712821i \(0.747417\pi\)
\(90\) 6.30411 0.664511
\(91\) 6.23298 7.22149i 0.653394 0.757018i
\(92\) 0.472125 0.0492224
\(93\) −10.5240 10.5240i −1.09128 1.09128i
\(94\) −2.46625 + 1.42389i −0.254375 + 0.146863i
\(95\) 16.3014i 1.67249i
\(96\) 5.51153 + 1.47681i 0.562519 + 0.150726i
\(97\) −2.87974 0.771623i −0.292393 0.0783465i 0.109641 0.993971i \(-0.465030\pi\)
−0.402034 + 0.915625i \(0.631697\pi\)
\(98\) 3.30799 8.02176i 0.334157 0.810320i
\(99\) 1.95059 1.95059i 0.196042 0.196042i
\(100\) 0.414314 0.717613i 0.0414314 0.0717613i
\(101\) 2.65050 + 4.59080i 0.263735 + 0.456802i 0.967231 0.253897i \(-0.0817123\pi\)
−0.703497 + 0.710699i \(0.748379\pi\)
\(102\) −7.53542 2.01911i −0.746118 0.199922i
\(103\) −2.40977 4.17384i −0.237442 0.411261i 0.722538 0.691331i \(-0.242975\pi\)
−0.959979 + 0.280071i \(0.909642\pi\)
\(104\) 6.76437 + 8.68700i 0.663301 + 0.851831i
\(105\) −14.5292 4.91931i −1.41791 0.480076i
\(106\) 6.05803 1.62325i 0.588408 0.157664i
\(107\) 1.77743 0.171830 0.0859151 0.996302i \(-0.472619\pi\)
0.0859151 + 0.996302i \(0.472619\pi\)
\(108\) 1.08081 0.104001
\(109\) −9.63303 + 2.58116i −0.922677 + 0.247231i −0.688729 0.725019i \(-0.741831\pi\)
−0.233948 + 0.972249i \(0.575165\pi\)
\(110\) 1.18126 + 4.40852i 0.112629 + 0.420336i
\(111\) −5.30192 + 19.7871i −0.503236 + 1.87810i
\(112\) 6.29125 + 4.19654i 0.594467 + 0.396536i
\(113\) 8.26089 + 14.3083i 0.777119 + 1.34601i 0.933596 + 0.358328i \(0.116653\pi\)
−0.156477 + 0.987682i \(0.550014\pi\)
\(114\) 17.2591i 1.61647i
\(115\) 0.686957 2.56376i 0.0640591 0.239072i
\(116\) 2.13959 + 1.23530i 0.198656 + 0.114694i
\(117\) −5.61393 4.24469i −0.519008 0.392422i
\(118\) 9.45589i 0.870485i
\(119\) 6.22475 + 4.15219i 0.570622 + 0.380631i
\(120\) 8.85212 15.3323i 0.808085 1.39964i
\(121\) −7.79671 4.50143i −0.708792 0.409221i
\(122\) 2.50142 + 9.33544i 0.226468 + 0.845191i
\(123\) −15.3169 15.3169i −1.38108 1.38108i
\(124\) −2.99394 + 0.802223i −0.268863 + 0.0720417i
\(125\) 5.91742 + 5.91742i 0.529270 + 0.529270i
\(126\) −6.06367 2.05304i −0.540194 0.182899i
\(127\) −5.35860 3.09379i −0.475499 0.274529i 0.243040 0.970016i \(-0.421855\pi\)
−0.718539 + 0.695487i \(0.755189\pi\)
\(128\) −4.17049 + 4.17049i −0.368623 + 0.368623i
\(129\) 1.09238 1.89206i 0.0961788 0.166587i
\(130\) 10.7261 4.53244i 0.940740 0.397521i
\(131\) −2.15037 + 1.24152i −0.187879 + 0.108472i −0.590989 0.806680i \(-0.701262\pi\)
0.403110 + 0.915151i \(0.367929\pi\)
\(132\) −0.377211 1.40777i −0.0328320 0.122531i
\(133\) −5.30882 + 15.6797i −0.460333 + 1.35960i
\(134\) 14.0292 8.09978i 1.21194 0.699715i
\(135\) 1.57261 5.86906i 0.135349 0.505128i
\(136\) −6.10662 + 6.10662i −0.523639 + 0.523639i
\(137\) 9.30838 9.30838i 0.795268 0.795268i −0.187077 0.982345i \(-0.559901\pi\)
0.982345 + 0.187077i \(0.0599014\pi\)
\(138\) 0.727317 2.71438i 0.0619133 0.231064i
\(139\) 15.3254 8.84813i 1.29988 0.750488i 0.319500 0.947586i \(-0.396485\pi\)
0.980384 + 0.197098i \(0.0631516\pi\)
\(140\) −2.40016 + 2.10822i −0.202851 + 0.178177i
\(141\) −1.32318 4.93817i −0.111432 0.415869i
\(142\) −12.3361 + 7.12227i −1.03523 + 0.597688i
\(143\) 1.91642 4.72124i 0.160259 0.394810i
\(144\) 2.78973 4.83196i 0.232478 0.402663i
\(145\) 9.82114 9.82114i 0.815602 0.815602i
\(146\) −9.37521 5.41278i −0.775898 0.447965i
\(147\) 12.3730 + 9.46337i 1.02051 + 0.780526i
\(148\) 3.01666 + 3.01666i 0.247968 + 0.247968i
\(149\) 16.1655 4.33154i 1.32433 0.354854i 0.473733 0.880669i \(-0.342906\pi\)
0.850599 + 0.525815i \(0.176240\pi\)
\(150\) −3.48751 3.48751i −0.284754 0.284754i
\(151\) −2.27755 8.49993i −0.185344 0.691715i −0.994557 0.104198i \(-0.966772\pi\)
0.809212 0.587516i \(-0.199894\pi\)
\(152\) −16.5463 9.55303i −1.34209 0.774853i
\(153\) 2.76024 4.78088i 0.223153 0.386512i
\(154\) 0.299501 4.62507i 0.0241345 0.372699i
\(155\) 17.4251i 1.39962i
\(156\) −3.42516 + 1.44734i −0.274232 + 0.115880i
\(157\) 4.38854 + 2.53373i 0.350244 + 0.202213i 0.664793 0.747028i \(-0.268520\pi\)
−0.314549 + 0.949241i \(0.601853\pi\)
\(158\) −1.78633 + 6.66668i −0.142113 + 0.530373i
\(159\) 11.2591i 0.892904i
\(160\) −3.34025 5.78549i −0.264070 0.457383i
\(161\) −1.49569 + 2.24226i −0.117877 + 0.176715i
\(162\) 3.54376 13.2255i 0.278424 1.03909i
\(163\) −0.650182 2.42651i −0.0509262 0.190059i 0.935777 0.352593i \(-0.114700\pi\)
−0.986703 + 0.162534i \(0.948033\pi\)
\(164\) −4.35746 + 1.16758i −0.340261 + 0.0911726i
\(165\) −8.19340 −0.637855
\(166\) 0.780801 0.0606019
\(167\) −2.57849 + 0.690905i −0.199530 + 0.0534639i −0.357200 0.934028i \(-0.616268\pi\)
0.157670 + 0.987492i \(0.449602\pi\)
\(168\) −13.5077 + 11.8647i −1.04214 + 0.915382i
\(169\) −12.6036 3.18588i −0.969506 0.245068i
\(170\) 4.56683 + 7.90998i 0.350260 + 0.606668i
\(171\) 11.7971 + 3.16103i 0.902149 + 0.241730i
\(172\) −0.227498 0.394039i −0.0173466 0.0300452i
\(173\) 0.770968 1.33536i 0.0586156 0.101525i −0.835229 0.549903i \(-0.814665\pi\)
0.893844 + 0.448378i \(0.147998\pi\)
\(174\) 10.3981 10.3981i 0.788282 0.788282i
\(175\) 2.09561 + 4.24109i 0.158413 + 0.320596i
\(176\) 3.90177 + 1.04547i 0.294107 + 0.0788056i
\(177\) −16.3969 4.39353i −1.23247 0.330238i
\(178\) 0.189790i 0.0142254i
\(179\) 15.3074 8.83772i 1.14413 0.660562i 0.196678 0.980468i \(-0.436985\pi\)
0.947449 + 0.319906i \(0.103651\pi\)
\(180\) 1.66659 + 1.66659i 0.124220 + 0.124220i
\(181\) 0.905550 0.0673090 0.0336545 0.999434i \(-0.489285\pi\)
0.0336545 + 0.999434i \(0.489285\pi\)
\(182\) −11.7931 + 0.866445i −0.874159 + 0.0642252i
\(183\) −17.3503 −1.28257
\(184\) −2.19970 2.19970i −0.162164 0.162164i
\(185\) 20.7706 11.9919i 1.52708 0.881662i
\(186\) 18.4488i 1.35273i
\(187\) 3.86053 + 1.03442i 0.282310 + 0.0756446i
\(188\) −1.02842 0.275564i −0.0750052 0.0200976i
\(189\) −3.42399 + 5.13307i −0.249058 + 0.373376i
\(190\) −14.2884 + 14.2884i −1.03659 + 1.03659i
\(191\) −11.7133 + 20.2881i −0.847546 + 1.46799i 0.0358466 + 0.999357i \(0.488587\pi\)
−0.883392 + 0.468635i \(0.844746\pi\)
\(192\) −9.89719 17.1424i −0.714268 1.23715i
\(193\) 11.5170 + 3.08597i 0.829011 + 0.222133i 0.648282 0.761400i \(-0.275488\pi\)
0.180729 + 0.983533i \(0.442154\pi\)
\(194\) 1.84780 + 3.20048i 0.132664 + 0.229781i
\(195\) 2.87572 + 20.7054i 0.205935 + 1.48274i
\(196\) 2.99519 1.24616i 0.213942 0.0890112i
\(197\) 10.0281 2.68702i 0.714472 0.191442i 0.116768 0.993159i \(-0.462747\pi\)
0.597704 + 0.801717i \(0.296080\pi\)
\(198\) −3.41945 −0.243010
\(199\) −3.97515 −0.281791 −0.140896 0.990024i \(-0.544998\pi\)
−0.140896 + 0.990024i \(0.544998\pi\)
\(200\) −5.27383 + 1.41312i −0.372916 + 0.0999225i
\(201\) 7.52688 + 28.0907i 0.530905 + 1.98137i
\(202\) 1.70071 6.34712i 0.119661 0.446582i
\(203\) −12.6450 + 6.24815i −0.887504 + 0.438534i
\(204\) −1.45832 2.52589i −0.102103 0.176848i
\(205\) 25.3610i 1.77129i
\(206\) −1.54624 + 5.77064i −0.107731 + 0.402059i
\(207\) 1.72215 + 0.994285i 0.119698 + 0.0691076i
\(208\) 1.27256 10.2270i 0.0882361 0.709117i
\(209\) 8.84215i 0.611624i
\(210\) 8.42326 + 17.0470i 0.581260 + 1.17635i
\(211\) 2.47669 4.28976i 0.170503 0.295319i −0.768093 0.640338i \(-0.778794\pi\)
0.938596 + 0.345019i \(0.112128\pi\)
\(212\) 2.03066 + 1.17240i 0.139467 + 0.0805211i
\(213\) −6.61851 24.7006i −0.453493 1.69246i
\(214\) −1.55794 1.55794i −0.106499 0.106499i
\(215\) −2.47075 + 0.662035i −0.168504 + 0.0451504i
\(216\) −5.03565 5.03565i −0.342633 0.342633i
\(217\) 5.67477 16.7605i 0.385228 1.13778i
\(218\) 10.7059 + 6.18107i 0.725097 + 0.418635i
\(219\) 13.7420 13.7420i 0.928600 0.928600i
\(220\) −0.853175 + 1.47774i −0.0575211 + 0.0996294i
\(221\) 1.25911 10.1189i 0.0846968 0.680673i
\(222\) 21.9909 12.6964i 1.47593 0.852129i
\(223\) 4.57716 + 17.0822i 0.306509 + 1.14391i 0.931638 + 0.363387i \(0.118380\pi\)
−0.625129 + 0.780521i \(0.714954\pi\)
\(224\) 1.32872 + 6.65264i 0.0887786 + 0.444498i
\(225\) 3.02256 1.74507i 0.201504 0.116338i
\(226\) 5.30063 19.7822i 0.352593 1.31589i
\(227\) −10.7232 + 10.7232i −0.711725 + 0.711725i −0.966896 0.255171i \(-0.917868\pi\)
0.255171 + 0.966896i \(0.417868\pi\)
\(228\) 4.56272 4.56272i 0.302174 0.302174i
\(229\) 3.87857 14.4750i 0.256303 0.956536i −0.711058 0.703134i \(-0.751784\pi\)
0.967361 0.253403i \(-0.0815498\pi\)
\(230\) −2.84930 + 1.64505i −0.187877 + 0.108471i
\(231\) 7.88090 + 2.66831i 0.518525 + 0.175562i
\(232\) −4.21327 15.7241i −0.276615 1.03234i
\(233\) 5.38039 3.10637i 0.352481 0.203505i −0.313297 0.949655i \(-0.601433\pi\)
0.665777 + 0.746150i \(0.268100\pi\)
\(234\) 1.20016 + 8.64123i 0.0784569 + 0.564895i
\(235\) −2.99277 + 5.18363i −0.195227 + 0.338142i
\(236\) −2.49981 + 2.49981i −0.162724 + 0.162724i
\(237\) −10.7303 6.19515i −0.697008 0.402418i
\(238\) −1.81663 9.09555i −0.117755 0.589577i
\(239\) −14.1820 14.1820i −0.917358 0.917358i 0.0794785 0.996837i \(-0.474674\pi\)
−0.996837 + 0.0794785i \(0.974674\pi\)
\(240\) −16.0073 + 4.28915i −1.03327 + 0.276863i
\(241\) 0.812288 + 0.812288i 0.0523241 + 0.0523241i 0.732785 0.680461i \(-0.238220\pi\)
−0.680461 + 0.732785i \(0.738220\pi\)
\(242\) 2.88836 + 10.7795i 0.185671 + 0.692934i
\(243\) 15.2279 + 8.79184i 0.976871 + 0.563996i
\(244\) −1.80668 + 3.12926i −0.115661 + 0.200330i
\(245\) −2.40885 18.0779i −0.153896 1.15495i
\(246\) 26.8510i 1.71196i
\(247\) 22.3448 3.10342i 1.42177 0.197466i
\(248\) 17.6869 + 10.2115i 1.12312 + 0.648433i
\(249\) −0.362787 + 1.35394i −0.0229907 + 0.0858025i
\(250\) 10.3734i 0.656073i
\(251\) −14.3378 24.8339i −0.904997 1.56750i −0.820921 0.571041i \(-0.806540\pi\)
−0.0840758 0.996459i \(-0.526794\pi\)
\(252\) −1.06027 2.14578i −0.0667909 0.135171i
\(253\) −0.372617 + 1.39062i −0.0234262 + 0.0874278i
\(254\) 1.98514 + 7.40865i 0.124559 + 0.464860i
\(255\) −15.8381 + 4.24381i −0.991822 + 0.265758i
\(256\) −10.4792 −0.654952
\(257\) −19.6195 −1.22383 −0.611916 0.790922i \(-0.709601\pi\)
−0.611916 + 0.790922i \(0.709601\pi\)
\(258\) −2.61591 + 0.700930i −0.162859 + 0.0436380i
\(259\) −23.8837 + 4.77025i −1.48406 + 0.296409i
\(260\) 4.03383 + 1.63739i 0.250167 + 0.101546i
\(261\) 5.20301 + 9.01188i 0.322058 + 0.557821i
\(262\) 2.97304 + 0.796624i 0.183675 + 0.0492156i
\(263\) −4.04343 7.00342i −0.249328 0.431850i 0.714011 0.700134i \(-0.246877\pi\)
−0.963340 + 0.268285i \(0.913543\pi\)
\(264\) −4.80154 + 8.31650i −0.295514 + 0.511845i
\(265\) 9.32114 9.32114i 0.572593 0.572593i
\(266\) 18.3967 9.09021i 1.12798 0.557357i
\(267\) 0.329104 + 0.0881832i 0.0201409 + 0.00539673i
\(268\) 5.85015 + 1.56754i 0.357355 + 0.0957529i
\(269\) 14.3415i 0.874415i 0.899361 + 0.437207i \(0.144032\pi\)
−0.899361 + 0.437207i \(0.855968\pi\)
\(270\) −6.52274 + 3.76591i −0.396961 + 0.229186i
\(271\) 18.4862 + 18.4862i 1.12295 + 1.12295i 0.991295 + 0.131660i \(0.0420306\pi\)
0.131660 + 0.991295i \(0.457969\pi\)
\(272\) 8.08376 0.490150
\(273\) 3.97701 20.8522i 0.240700 1.26203i
\(274\) −16.3179 −0.985799
\(275\) 1.78671 + 1.78671i 0.107743 + 0.107743i
\(276\) 0.909866 0.525312i 0.0547675 0.0316200i
\(277\) 5.86837i 0.352596i 0.984337 + 0.176298i \(0.0564123\pi\)
−0.984337 + 0.176298i \(0.943588\pi\)
\(278\) −21.1885 5.67744i −1.27080 0.340510i
\(279\) −12.6103 3.37893i −0.754961 0.202291i
\(280\) 21.0052 + 1.36021i 1.25530 + 0.0812883i
\(281\) 16.4096 16.4096i 0.978913 0.978913i −0.0208690 0.999782i \(-0.506643\pi\)
0.999782 + 0.0208690i \(0.00664330\pi\)
\(282\) −3.16860 + 5.48817i −0.188687 + 0.326816i
\(283\) −11.1979 19.3953i −0.665645 1.15293i −0.979110 0.203331i \(-0.934823\pi\)
0.313465 0.949600i \(-0.398510\pi\)
\(284\) −5.14413 1.37837i −0.305248 0.0817909i
\(285\) −18.1378 31.4156i −1.07439 1.86090i
\(286\) −5.81800 + 2.45847i −0.344026 + 0.145372i
\(287\) 8.25922 24.3937i 0.487527 1.43992i
\(288\) 4.83460 1.29543i 0.284882 0.0763338i
\(289\) −9.00168 −0.529511
\(290\) −17.2168 −1.01100
\(291\) −6.40830 + 1.71710i −0.375661 + 0.100658i
\(292\) −1.04753 3.90943i −0.0613020 0.228782i
\(293\) 1.22119 4.55756i 0.0713429 0.266255i −0.921036 0.389477i \(-0.872656\pi\)
0.992379 + 0.123221i \(0.0393225\pi\)
\(294\) −2.55037 19.1400i −0.148741 1.11627i
\(295\) 9.93730 + 17.2119i 0.578572 + 1.00212i
\(296\) 28.1102i 1.63387i
\(297\) −0.853009 + 3.18347i −0.0494966 + 0.184724i
\(298\) −17.9660 10.3727i −1.04074 0.600873i
\(299\) 3.64500 + 0.453552i 0.210796 + 0.0262296i
\(300\) 1.84395i 0.106461i
\(301\) 2.59212 + 0.167855i 0.149407 + 0.00967499i
\(302\) −5.45401 + 9.44663i −0.313843 + 0.543592i
\(303\) 10.2160 + 5.89818i 0.586891 + 0.338842i
\(304\) 4.62876 + 17.2748i 0.265478 + 0.990776i
\(305\) 14.3639 + 14.3639i 0.822474 + 0.822474i
\(306\) −6.60992 + 1.77112i −0.377864 + 0.101248i
\(307\) 3.77977 + 3.77977i 0.215723 + 0.215723i 0.806693 0.590970i \(-0.201255\pi\)
−0.590970 + 0.806693i \(0.701255\pi\)
\(308\) 1.30189 1.14353i 0.0741819 0.0651587i
\(309\) −9.28808 5.36248i −0.528380 0.305061i
\(310\) 15.2734 15.2734i 0.867469 0.867469i
\(311\) 1.26681 2.19418i 0.0718343 0.124421i −0.827871 0.560919i \(-0.810448\pi\)
0.899705 + 0.436498i \(0.143781\pi\)
\(312\) 22.7017 + 9.21495i 1.28523 + 0.521694i
\(313\) 4.62033 2.66755i 0.261157 0.150779i −0.363705 0.931514i \(-0.618489\pi\)
0.624862 + 0.780735i \(0.285155\pi\)
\(314\) −1.62578 6.06748i −0.0917478 0.342408i
\(315\) −13.1948 + 2.63537i −0.743445 + 0.148487i
\(316\) −2.23469 + 1.29020i −0.125711 + 0.0725792i
\(317\) −3.28216 + 12.2492i −0.184344 + 0.687982i 0.810426 + 0.585841i \(0.199236\pi\)
−0.994770 + 0.102141i \(0.967431\pi\)
\(318\) 9.86877 9.86877i 0.553413 0.553413i
\(319\) −5.32715 + 5.32715i −0.298263 + 0.298263i
\(320\) −5.99817 + 22.3855i −0.335308 + 1.25139i
\(321\) 3.42541 1.97766i 0.191188 0.110382i
\(322\) 3.27637 0.654381i 0.182585 0.0364672i
\(323\) 4.57984 + 17.0922i 0.254829 + 0.951035i
\(324\) 4.43321 2.55951i 0.246289 0.142195i
\(325\) 3.88806 5.14226i 0.215671 0.285241i
\(326\) −1.55698 + 2.69677i −0.0862333 + 0.149360i
\(327\) −15.6926 + 15.6926i −0.867802 + 0.867802i
\(328\) 25.7420 + 14.8622i 1.42137 + 0.820626i
\(329\) 4.56676 4.01128i 0.251773 0.221149i
\(330\) 7.18164 + 7.18164i 0.395336 + 0.395336i
\(331\) −8.64629 + 2.31677i −0.475243 + 0.127341i −0.488487 0.872571i \(-0.662451\pi\)
0.0132438 + 0.999912i \(0.495784\pi\)
\(332\) 0.206417 + 0.206417i 0.0113286 + 0.0113286i
\(333\) 4.65074 + 17.3568i 0.254859 + 0.951146i
\(334\) 2.86568 + 1.65450i 0.156803 + 0.0905303i
\(335\) 17.0243 29.4870i 0.930137 1.61105i
\(336\) 16.7936 + 1.08749i 0.916167 + 0.0593273i
\(337\) 8.38324i 0.456664i 0.973583 + 0.228332i \(0.0733272\pi\)
−0.973583 + 0.228332i \(0.926673\pi\)
\(338\) 8.25476 + 13.8397i 0.449000 + 0.752781i
\(339\) 31.8403 + 18.3830i 1.72933 + 0.998428i
\(340\) −0.883813 + 3.29844i −0.0479315 + 0.178883i
\(341\) 9.45165i 0.511836i
\(342\) −7.56968 13.1111i −0.409321 0.708965i
\(343\) −3.57038 + 18.1728i −0.192782 + 0.981242i
\(344\) −0.775938 + 2.89584i −0.0418358 + 0.156133i
\(345\) −1.52869 5.70515i −0.0823019 0.307155i
\(346\) −1.84623 + 0.494695i −0.0992537 + 0.0265949i
\(347\) −27.5764 −1.48038 −0.740190 0.672398i \(-0.765265\pi\)
−0.740190 + 0.672398i \(0.765265\pi\)
\(348\) 5.49782 0.294714
\(349\) −34.2817 + 9.18577i −1.83506 + 0.491703i −0.998427 0.0560618i \(-0.982146\pi\)
−0.836633 + 0.547765i \(0.815479\pi\)
\(350\) 1.88054 5.55421i 0.100519 0.296885i
\(351\) 8.34429 + 1.03829i 0.445385 + 0.0554198i
\(352\) 1.81181 + 3.13814i 0.0965697 + 0.167264i
\(353\) −7.01577 1.87987i −0.373412 0.100055i 0.0672321 0.997737i \(-0.478583\pi\)
−0.440644 + 0.897682i \(0.645250\pi\)
\(354\) 10.5211 + 18.2231i 0.559192 + 0.968548i
\(355\) −14.9697 + 25.9284i −0.794512 + 1.37613i
\(356\) 0.0501740 0.0501740i 0.00265922 0.00265922i
\(357\) 16.6161 + 1.07599i 0.879418 + 0.0569476i
\(358\) −21.1635 5.67075i −1.11853 0.299709i
\(359\) 15.2059 + 4.07442i 0.802539 + 0.215040i 0.636698 0.771113i \(-0.280300\pi\)
0.165841 + 0.986153i \(0.446966\pi\)
\(360\) 15.5298i 0.818492i
\(361\) −17.4486 + 10.0740i −0.918349 + 0.530209i
\(362\) −0.793728 0.793728i −0.0417174 0.0417174i
\(363\) −20.0341 −1.05152
\(364\) −3.34673 2.88862i −0.175417 0.151405i
\(365\) −22.7534 −1.19097
\(366\) 15.2078 + 15.2078i 0.794924 + 0.794924i
\(367\) 0.280231 0.161792i 0.0146280 0.00844546i −0.492668 0.870217i \(-0.663978\pi\)
0.507296 + 0.861772i \(0.330645\pi\)
\(368\) 2.91190i 0.151793i
\(369\) −18.3534 4.91779i −0.955442 0.256010i
\(370\) −28.7168 7.69465i −1.49292 0.400026i
\(371\) −12.0012 + 5.93005i −0.623072 + 0.307873i
\(372\) −4.87724 + 4.87724i −0.252873 + 0.252873i
\(373\) 16.1440 27.9622i 0.835905 1.44783i −0.0573868 0.998352i \(-0.518277\pi\)
0.893292 0.449478i \(-0.148390\pi\)
\(374\) −2.47712 4.29050i −0.128089 0.221856i
\(375\) 17.9879 + 4.81985i 0.928893 + 0.248896i
\(376\) 3.50767 + 6.07547i 0.180894 + 0.313318i
\(377\) 15.3319 + 11.5924i 0.789631 + 0.597040i
\(378\) 7.50039 1.49804i 0.385778 0.0770507i
\(379\) 13.3271 3.57099i 0.684568 0.183430i 0.100260 0.994961i \(-0.468033\pi\)
0.584308 + 0.811532i \(0.301366\pi\)
\(380\) −7.55474 −0.387550
\(381\) −13.7693 −0.705420
\(382\) 28.0497 7.51589i 1.43515 0.384547i
\(383\) 4.35337 + 16.2470i 0.222447 + 0.830183i 0.983411 + 0.181389i \(0.0580594\pi\)
−0.760965 + 0.648793i \(0.775274\pi\)
\(384\) −3.39695 + 12.6776i −0.173350 + 0.646950i
\(385\) −4.31538 8.73345i −0.219932 0.445098i
\(386\) −7.38992 12.7997i −0.376137 0.651489i
\(387\) 1.91643i 0.0974175i
\(388\) −0.357602 + 1.33459i −0.0181545 + 0.0677534i
\(389\) 15.4854 + 8.94050i 0.785141 + 0.453302i 0.838249 0.545287i \(-0.183579\pi\)
−0.0531079 + 0.998589i \(0.516913\pi\)
\(390\) 15.6280 20.6692i 0.791354 1.04663i
\(391\) 2.88112i 0.145705i
\(392\) −19.7611 8.14904i −0.998088 0.411589i
\(393\) −2.76275 + 4.78523i −0.139363 + 0.241383i
\(394\) −11.1450 6.43456i −0.561477 0.324169i
\(395\) 3.75455 + 14.0122i 0.188912 + 0.705030i
\(396\) −0.903984 0.903984i −0.0454269 0.0454269i
\(397\) 6.40627 1.71656i 0.321522 0.0861515i −0.0944484 0.995530i \(-0.530109\pi\)
0.415970 + 0.909378i \(0.363442\pi\)
\(398\) 3.48428 + 3.48428i 0.174651 + 0.174651i
\(399\) 7.21503 + 36.1243i 0.361203 + 1.80848i
\(400\) 4.42599 + 2.55534i 0.221299 + 0.127767i
\(401\) −15.5895 + 15.5895i −0.778503 + 0.778503i −0.979576 0.201073i \(-0.935557\pi\)
0.201073 + 0.979576i \(0.435557\pi\)
\(402\) 18.0245 31.2194i 0.898981 1.55708i
\(403\) −23.8851 + 3.31734i −1.18980 + 0.165249i
\(404\) 2.12757 1.22835i 0.105850 0.0611127i
\(405\) −7.44835 27.7976i −0.370112 1.38128i
\(406\) 16.5601 + 5.60692i 0.821865 + 0.278267i
\(407\) −11.2663 + 6.50460i −0.558450 + 0.322421i
\(408\) −4.97396 + 18.5631i −0.246248 + 0.919009i
\(409\) −11.7049 + 11.7049i −0.578770 + 0.578770i −0.934564 0.355794i \(-0.884210\pi\)
0.355794 + 0.934564i \(0.384210\pi\)
\(410\) 22.2293 22.2293i 1.09783 1.09783i
\(411\) 7.58185 28.2958i 0.373985 1.39573i
\(412\) −1.93433 + 1.11679i −0.0952975 + 0.0550201i
\(413\) −3.95295 19.7917i −0.194512 0.973885i
\(414\) −0.637987 2.38100i −0.0313553 0.117020i
\(415\) 1.42124 0.820553i 0.0697659 0.0402793i
\(416\) 7.29444 5.68001i 0.357639 0.278486i
\(417\) 19.6898 34.1037i 0.964214 1.67007i
\(418\) 7.75028 7.75028i 0.379079 0.379079i
\(419\) −23.3376 13.4740i −1.14012 0.658247i −0.193658 0.981069i \(-0.562035\pi\)
−0.946460 + 0.322822i \(0.895369\pi\)
\(420\) −2.27981 + 6.73345i −0.111243 + 0.328559i
\(421\) 11.8511 + 11.8511i 0.577587 + 0.577587i 0.934238 0.356651i \(-0.116081\pi\)
−0.356651 + 0.934238i \(0.616081\pi\)
\(422\) −5.93090 + 1.58918i −0.288712 + 0.0773601i
\(423\) −3.17100 3.17100i −0.154179 0.154179i
\(424\) −3.99877 14.9236i −0.194197 0.724755i
\(425\) 4.37921 + 2.52834i 0.212423 + 0.122642i
\(426\) −15.8492 + 27.4517i −0.767898 + 1.33004i
\(427\) −9.13821 18.4939i −0.442229 0.894982i
\(428\) 0.823732i 0.0398166i
\(429\) −1.55984 11.2309i −0.0753097 0.542235i
\(430\) 2.74593 + 1.58537i 0.132421 + 0.0764531i
\(431\) 1.60974 6.00762i 0.0775383 0.289377i −0.916259 0.400587i \(-0.868806\pi\)
0.993797 + 0.111211i \(0.0354728\pi\)
\(432\) 6.66604i 0.320720i
\(433\) 5.55807 + 9.62686i 0.267104 + 0.462637i 0.968113 0.250515i \(-0.0806000\pi\)
−0.701009 + 0.713153i \(0.747267\pi\)
\(434\) −19.6649 + 9.71681i −0.943943 + 0.466422i
\(435\) 7.99951 29.8546i 0.383547 1.43142i
\(436\) 1.19622 + 4.46434i 0.0572884 + 0.213803i
\(437\) −6.15688 + 1.64973i −0.294524 + 0.0789174i
\(438\) −24.0902 −1.15107
\(439\) 21.2653 1.01494 0.507470 0.861670i \(-0.330581\pi\)
0.507470 + 0.861670i \(0.330581\pi\)
\(440\) 10.8601 2.90996i 0.517736 0.138727i
\(441\) 13.5498 + 1.76225i 0.645230 + 0.0839169i
\(442\) −9.97303 + 7.76577i −0.474369 + 0.369380i
\(443\) −3.28510 5.68996i −0.156080 0.270338i 0.777372 0.629041i \(-0.216552\pi\)
−0.933452 + 0.358703i \(0.883219\pi\)
\(444\) 9.17013 + 2.45713i 0.435195 + 0.116610i
\(445\) −0.199453 0.345463i −0.00945497 0.0163765i
\(446\) 10.9609 18.9848i 0.519012 0.898955i
\(447\) 26.3343 26.3343i 1.24557 1.24557i
\(448\) 13.0596 19.5783i 0.617008 0.924987i
\(449\) −19.7570 5.29388i −0.932392 0.249834i −0.239518 0.970892i \(-0.576989\pi\)
−0.692874 + 0.721058i \(0.743656\pi\)
\(450\) −4.17890 1.11973i −0.196995 0.0527847i
\(451\) 13.7562i 0.647755i
\(452\) 6.63104 3.82843i 0.311898 0.180074i
\(453\) −13.8467 13.8467i −0.650575 0.650575i
\(454\) 18.7981 0.882241
\(455\) −20.5555 + 13.9706i −0.963658 + 0.654951i
\(456\) −42.5169 −1.99103
\(457\) 0.506232 + 0.506232i 0.0236805 + 0.0236805i 0.718848 0.695167i \(-0.244670\pi\)
−0.695167 + 0.718848i \(0.744670\pi\)
\(458\) −16.0872 + 9.28795i −0.751706 + 0.433998i
\(459\) 6.59559i 0.307856i
\(460\) −1.18815 0.318364i −0.0553978 0.0148438i
\(461\) 18.7893 + 5.03457i 0.875104 + 0.234484i 0.668294 0.743897i \(-0.267025\pi\)
0.206811 + 0.978381i \(0.433692\pi\)
\(462\) −4.56891 9.24655i −0.212565 0.430188i
\(463\) 23.8616 23.8616i 1.10894 1.10894i 0.115653 0.993290i \(-0.463104\pi\)
0.993290 0.115653i \(-0.0368962\pi\)
\(464\) −7.61887 + 13.1963i −0.353697 + 0.612621i
\(465\) 19.3881 + 33.5812i 0.899101 + 1.55729i
\(466\) −7.43877 1.99321i −0.344594 0.0923338i
\(467\) −2.96432 5.13436i −0.137173 0.237590i 0.789253 0.614068i \(-0.210468\pi\)
−0.926425 + 0.376479i \(0.877135\pi\)
\(468\) −1.96716 + 2.60172i −0.0909321 + 0.120265i
\(469\) −25.9779 + 22.8181i −1.19955 + 1.05364i
\(470\) 7.16674 1.92032i 0.330577 0.0885778i
\(471\) 11.2766 0.519600
\(472\) 23.2940 1.07219
\(473\) 1.34017 0.359099i 0.0616213 0.0165114i
\(474\) 3.97514 + 14.8354i 0.182584 + 0.681414i
\(475\) −2.89545 + 10.8060i −0.132852 + 0.495812i
\(476\) 1.92429 2.88480i 0.0881999 0.132225i
\(477\) 4.93812 + 8.55307i 0.226101 + 0.391618i
\(478\) 24.8615i 1.13714i
\(479\) 5.78255 21.5808i 0.264211 0.986050i −0.698520 0.715590i \(-0.746158\pi\)
0.962731 0.270459i \(-0.0871756\pi\)
\(480\) −12.8745 7.43309i −0.587637 0.339273i
\(481\) 20.3919 + 26.1879i 0.929791 + 1.19406i
\(482\) 1.42397i 0.0648599i
\(483\) −0.387590 + 5.98540i −0.0176360 + 0.272345i
\(484\) −2.08615 + 3.61332i −0.0948249 + 0.164242i
\(485\) 6.72683 + 3.88374i 0.305450 + 0.176351i
\(486\) −5.64132 21.0537i −0.255895 0.955014i
\(487\) −3.79944 3.79944i −0.172169 0.172169i 0.615763 0.787932i \(-0.288848\pi\)
−0.787932 + 0.615763i \(0.788848\pi\)
\(488\) 22.9973 6.16211i 1.04104 0.278946i
\(489\) −3.95288 3.95288i −0.178756 0.178756i
\(490\) −13.7341 + 17.9569i −0.620445 + 0.811211i
\(491\) 8.53958 + 4.93033i 0.385386 + 0.222503i 0.680159 0.733065i \(-0.261911\pi\)
−0.294773 + 0.955567i \(0.595244\pi\)
\(492\) −7.09847 + 7.09847i −0.320024 + 0.320024i
\(493\) −7.53834 + 13.0568i −0.339510 + 0.588048i
\(494\) −22.3058 16.8654i −1.00359 0.758811i
\(495\) −6.22419 + 3.59354i −0.279757 + 0.161518i
\(496\) −4.94783 18.4655i −0.222164 0.829128i
\(497\) 22.8428 20.0643i 1.02464 0.900007i
\(498\) 1.50474 0.868761i 0.0674289 0.0389301i
\(499\) −0.0722859 + 0.269775i −0.00323596 + 0.0120768i −0.967525 0.252776i \(-0.918657\pi\)
0.964289 + 0.264852i \(0.0853232\pi\)
\(500\) 2.74237 2.74237i 0.122643 0.122643i
\(501\) −4.20047 + 4.20047i −0.187663 + 0.187663i
\(502\) −9.19994 + 34.3346i −0.410613 + 1.53243i
\(503\) 14.3969 8.31203i 0.641924 0.370615i −0.143431 0.989660i \(-0.545814\pi\)
0.785355 + 0.619045i \(0.212480\pi\)
\(504\) −5.05753 + 14.9375i −0.225280 + 0.665368i
\(505\) −3.57458 13.3405i −0.159067 0.593645i
\(506\) 1.54551 0.892300i 0.0687062 0.0396676i
\(507\) −27.8341 + 7.88368i −1.23615 + 0.350126i
\(508\) −1.43379 + 2.48339i −0.0636140 + 0.110183i
\(509\) −28.5307 + 28.5307i −1.26460 + 1.26460i −0.315761 + 0.948839i \(0.602260\pi\)
−0.948839 + 0.315761i \(0.897740\pi\)
\(510\) 17.6021 + 10.1626i 0.779435 + 0.450007i
\(511\) 21.8856 + 7.41002i 0.968161 + 0.327800i
\(512\) 17.5262 + 17.5262i 0.774556 + 0.774556i
\(513\) −14.0946 + 3.77663i −0.622291 + 0.166742i
\(514\) 17.1968 + 17.1968i 0.758519 + 0.758519i
\(515\) 3.24992 + 12.1289i 0.143208 + 0.534461i
\(516\) −0.876857 0.506254i −0.0386015 0.0222866i
\(517\) 1.62333 2.81168i 0.0713938 0.123658i
\(518\) 25.1157 + 16.7533i 1.10352 + 0.736097i
\(519\) 3.43128i 0.150617i
\(520\) −11.1654 26.4231i −0.489635 1.15873i
\(521\) −15.9440 9.20528i −0.698520 0.403291i 0.108276 0.994121i \(-0.465467\pi\)
−0.806796 + 0.590830i \(0.798800\pi\)
\(522\) 3.33853 12.4596i 0.146124 0.545341i
\(523\) 12.5007i 0.546617i −0.961926 0.273308i \(-0.911882\pi\)
0.961926 0.273308i \(-0.0881180\pi\)
\(524\) 0.575369 + 0.996569i 0.0251351 + 0.0435353i
\(525\) 8.75746 + 5.84162i 0.382207 + 0.254949i
\(526\) −2.59448 + 9.68274i −0.113125 + 0.422187i
\(527\) −4.89553 18.2704i −0.213253 0.795870i
\(528\) 8.68263 2.32650i 0.377863 0.101248i
\(529\) 21.9622 0.954877
\(530\) −16.3402 −0.709775
\(531\) −14.3830 + 3.85391i −0.624169 + 0.167246i
\(532\) 7.26660 + 2.46032i 0.315047 + 0.106669i
\(533\) −34.7631 + 4.82816i −1.50576 + 0.209131i
\(534\) −0.211171 0.365759i −0.00913826 0.0158279i
\(535\) −4.47307 1.19856i −0.193388 0.0518181i
\(536\) −19.9533 34.5602i −0.861853 1.49277i
\(537\) 19.6666 34.0636i 0.848678 1.46995i
\(538\) 12.5705 12.5705i 0.541954 0.541954i
\(539\) 1.30660 + 9.80573i 0.0562791 + 0.422363i
\(540\) −2.71996 0.728812i −0.117049 0.0313631i
\(541\) 2.83805 + 0.760452i 0.122017 + 0.0326944i 0.319311 0.947650i \(-0.396549\pi\)
−0.197294 + 0.980344i \(0.563215\pi\)
\(542\) 32.4068i 1.39199i
\(543\) 1.74515 1.00756i 0.0748916 0.0432387i
\(544\) 5.12771 + 5.12771i 0.219849 + 0.219849i
\(545\) 25.9830 1.11299
\(546\) −21.7632 + 14.7914i −0.931379 + 0.633012i
\(547\) 30.4775 1.30312 0.651561 0.758596i \(-0.274114\pi\)
0.651561 + 0.758596i \(0.274114\pi\)
\(548\) −4.31388 4.31388i −0.184280 0.184280i
\(549\) −13.1803 + 7.60965i −0.562521 + 0.324772i
\(550\) 3.13216i 0.133556i
\(551\) −32.2185 8.63291i −1.37255 0.367774i
\(552\) −6.68672 1.79170i −0.284606 0.0762599i
\(553\) 0.951944 14.7005i 0.0404808 0.625128i
\(554\) 5.14372 5.14372i 0.218536 0.218536i
\(555\) 26.6857 46.2209i 1.13274 1.96197i
\(556\) −4.10058 7.10242i −0.173904 0.301210i
\(557\) −2.05024 0.549361i −0.0868716 0.0232772i 0.215121 0.976587i \(-0.430985\pi\)
−0.301993 + 0.953310i \(0.597652\pi\)
\(558\) 8.09147 + 14.0148i 0.342539 + 0.593295i
\(559\) −1.37785 3.26069i −0.0582767 0.137913i
\(560\) −13.0027 14.8034i −0.549466 0.625556i
\(561\) 8.59086 2.30191i 0.362706 0.0971868i
\(562\) −28.7665 −1.21344
\(563\) −2.53466 −0.106823 −0.0534115 0.998573i \(-0.517010\pi\)
−0.0534115 + 0.998573i \(0.517010\pi\)
\(564\) −2.28855 + 0.613215i −0.0963653 + 0.0258210i
\(565\) −11.1410 41.5787i −0.468705 1.74923i
\(566\) −7.18516 + 26.8154i −0.302015 + 1.12714i
\(567\) −1.88848 + 29.1631i −0.0793089 + 1.22474i
\(568\) 17.5453 + 30.3893i 0.736184 + 1.27511i
\(569\) 35.0697i 1.47020i 0.677960 + 0.735099i \(0.262864\pi\)
−0.677960 + 0.735099i \(0.737136\pi\)
\(570\) −11.6382 + 43.4344i −0.487471 + 1.81927i
\(571\) 25.0216 + 14.4462i 1.04712 + 0.604556i 0.921842 0.387566i \(-0.126684\pi\)
0.125279 + 0.992122i \(0.460017\pi\)
\(572\) −2.18801 0.888145i −0.0914854 0.0371352i
\(573\) 52.1314i 2.17782i
\(574\) −28.6208 + 14.1421i −1.19461 + 0.590281i
\(575\) −0.910748 + 1.57746i −0.0379808 + 0.0657847i
\(576\) −15.0370 8.68160i −0.626541 0.361733i
\(577\) −4.00778 14.9572i −0.166846 0.622678i −0.997798 0.0663329i \(-0.978870\pi\)
0.830952 0.556345i \(-0.187797\pi\)
\(578\) 7.89012 + 7.89012i 0.328186 + 0.328186i
\(579\) 25.6289 6.86723i 1.06510 0.285392i
\(580\) −4.55152 4.55152i −0.188992 0.188992i
\(581\) −1.63426 + 0.326407i −0.0678005 + 0.0135416i
\(582\) 7.12204 + 4.11191i 0.295218 + 0.170444i
\(583\) −5.05594 + 5.05594i −0.209396 + 0.209396i
\(584\) −13.3341 + 23.0953i −0.551767 + 0.955689i
\(585\) 11.2657 + 14.4678i 0.465781 + 0.598169i
\(586\) −5.06517 + 2.92438i −0.209240 + 0.120805i
\(587\) 3.18544 + 11.8882i 0.131477 + 0.490679i 0.999988 0.00499189i \(-0.00158898\pi\)
−0.868511 + 0.495671i \(0.834922\pi\)
\(588\) 4.38571 5.73417i 0.180864 0.236473i
\(589\) 36.2401 20.9232i 1.49325 0.862127i
\(590\) 6.37631 23.7967i 0.262508 0.979694i
\(591\) 16.3361 16.3361i 0.671979 0.671979i
\(592\) −18.6057 + 18.6057i −0.764690 + 0.764690i
\(593\) −8.83310 + 32.9656i −0.362732 + 1.35373i 0.507738 + 0.861512i \(0.330482\pi\)
−0.870470 + 0.492222i \(0.836185\pi\)
\(594\) 3.53804 2.04269i 0.145168 0.0838125i
\(595\) −12.8653 14.6469i −0.527426 0.600464i
\(596\) −2.00741 7.49177i −0.0822268 0.306875i
\(597\) −7.66081 + 4.42297i −0.313536 + 0.181020i
\(598\) −2.79736 3.59245i −0.114392 0.146906i
\(599\) −5.99292 + 10.3800i −0.244864 + 0.424117i −0.962093 0.272720i \(-0.912077\pi\)
0.717229 + 0.696837i \(0.245410\pi\)
\(600\) −8.59127 + 8.59127i −0.350737 + 0.350737i
\(601\) 17.2242 + 9.94437i 0.702588 + 0.405639i 0.808311 0.588756i \(-0.200382\pi\)
−0.105723 + 0.994396i \(0.533716\pi\)
\(602\) −2.12490 2.41916i −0.0866046 0.0985975i
\(603\) 18.0382 + 18.0382i 0.734570 + 0.734570i
\(604\) −3.93922 + 1.05551i −0.160284 + 0.0429481i
\(605\) 16.5858 + 16.5858i 0.674309 + 0.674309i
\(606\) −3.78459 14.1243i −0.153739 0.573760i
\(607\) −7.94179 4.58519i −0.322347 0.186107i 0.330091 0.943949i \(-0.392921\pi\)
−0.652438 + 0.757842i \(0.726254\pi\)
\(608\) −8.02164 + 13.8939i −0.325321 + 0.563472i
\(609\) −17.4170 + 26.1107i −0.705774 + 1.05806i
\(610\) 25.1803i 1.01952i
\(611\) −7.67511 3.11543i −0.310502 0.126037i
\(612\) −2.21566 1.27921i −0.0895626 0.0517090i
\(613\) 4.92157 18.3676i 0.198780 0.741859i −0.792475 0.609904i \(-0.791208\pi\)
0.991256 0.131955i \(-0.0421254\pi\)
\(614\) 6.62606i 0.267406i
\(615\) 28.2180 + 48.8750i 1.13786 + 1.97083i
\(616\) −11.3936 0.737802i −0.459061 0.0297269i
\(617\) 6.74741 25.1817i 0.271641 1.01378i −0.686419 0.727207i \(-0.740818\pi\)
0.958059 0.286570i \(-0.0925151\pi\)
\(618\) 3.44085 + 12.8414i 0.138411 + 0.516558i
\(619\) −1.48444 + 0.397756i −0.0596649 + 0.0159872i −0.288528 0.957471i \(-0.593166\pi\)
0.228863 + 0.973459i \(0.426499\pi\)
\(620\) 8.07550 0.324320
\(621\) −2.37584 −0.0953391
\(622\) −3.03362 + 0.812855i −0.121637 + 0.0325925i
\(623\) 0.0793402 + 0.397242i 0.00317870 + 0.0159152i
\(624\) −8.92670 21.1252i −0.357354 0.845683i
\(625\) −15.3715 26.6243i −0.614861 1.06497i
\(626\) −6.38794 1.71164i −0.255314 0.0684111i
\(627\) 9.83825 + 17.0404i 0.392902 + 0.680526i
\(628\) 1.17423 2.03383i 0.0468570 0.0811587i
\(629\) −18.4091 + 18.4091i −0.734017 + 0.734017i
\(630\) 13.8754 + 9.25553i 0.552810 + 0.368749i
\(631\) 5.46012 + 1.46304i 0.217364 + 0.0582425i 0.365858 0.930671i \(-0.380776\pi\)
−0.148493 + 0.988913i \(0.547442\pi\)
\(632\) 16.4230 + 4.40053i 0.653271 + 0.175043i
\(633\) 11.0228i 0.438117i
\(634\) 13.6135 7.85973i 0.540659 0.312150i
\(635\) 11.3992 + 11.3992i 0.452365 + 0.452365i
\(636\) 5.21792 0.206904
\(637\) 24.3213 6.74350i 0.963645 0.267187i
\(638\) 9.33866 0.369721
\(639\) −15.8612 15.8612i −0.627461 0.627461i
\(640\) 13.3077 7.68321i 0.526034 0.303706i
\(641\) 2.17816i 0.0860321i −0.999074 0.0430160i \(-0.986303\pi\)
0.999074 0.0430160i \(-0.0136967\pi\)
\(642\) −4.73587 1.26897i −0.186910 0.0500824i
\(643\) −23.5550 6.31154i −0.928918 0.248903i −0.237525 0.971381i \(-0.576336\pi\)
−0.691393 + 0.722479i \(0.743003\pi\)
\(644\) 1.03915 + 0.693162i 0.0409484 + 0.0273144i
\(645\) −4.02494 + 4.02494i −0.158482 + 0.158482i
\(646\) 10.9673 18.9959i 0.431501 0.747382i
\(647\) 12.8514 + 22.2592i 0.505239 + 0.875100i 0.999982 + 0.00606025i \(0.00192905\pi\)
−0.494742 + 0.869040i \(0.664738\pi\)
\(648\) −32.5802 8.72984i −1.27987 0.342941i
\(649\) −5.39015 9.33602i −0.211582 0.366471i
\(650\) −7.91522 + 1.09932i −0.310460 + 0.0431191i
\(651\) −7.71237 38.6144i −0.302272 1.51342i
\(652\) −1.12455 + 0.301321i −0.0440406 + 0.0118006i
\(653\) 12.2898 0.480938 0.240469 0.970657i \(-0.422699\pi\)
0.240469 + 0.970657i \(0.422699\pi\)
\(654\) 27.5096 1.07571
\(655\) 6.24880 1.67436i 0.244161 0.0654227i
\(656\) −7.20122 26.8753i −0.281160 1.04930i
\(657\) 4.41215 16.4664i 0.172134 0.642414i
\(658\) −7.51878 0.486886i −0.293113 0.0189808i
\(659\) −22.5477 39.0538i −0.878336 1.52132i −0.853167 0.521639i \(-0.825321\pi\)
−0.0251690 0.999683i \(-0.508012\pi\)
\(660\) 3.79716i 0.147804i
\(661\) −3.90501 + 14.5737i −0.151887 + 0.566851i 0.847465 + 0.530852i \(0.178128\pi\)
−0.999352 + 0.0359990i \(0.988539\pi\)
\(662\) 9.60929 + 5.54792i 0.373475 + 0.215626i
\(663\) −8.83235 20.9019i −0.343020 0.811762i
\(664\) 1.92346i 0.0746446i
\(665\) 23.9333 35.8796i 0.928094 1.39135i
\(666\) 11.1371 19.2899i 0.431552 0.747470i
\(667\) −4.70327 2.71543i −0.182111 0.105142i
\(668\) 0.320194 + 1.19498i 0.0123887 + 0.0462351i
\(669\) 27.8275 + 27.8275i 1.07588 + 1.07588i
\(670\) −40.7679 + 10.9237i −1.57500 + 0.422020i
\(671\) −7.79121 7.79121i −0.300776 0.300776i
\(672\) 9.96275 + 11.3424i 0.384321 + 0.437542i
\(673\) 10.7821 + 6.22503i 0.415618 + 0.239957i 0.693201 0.720744i \(-0.256200\pi\)
−0.277582 + 0.960702i \(0.589533\pi\)
\(674\) 7.34804 7.34804i 0.283036 0.283036i
\(675\) −2.08492 + 3.61119i −0.0802487 + 0.138995i
\(676\) −1.47647 + 5.84101i −0.0567872 + 0.224654i
\(677\) 32.6889 18.8729i 1.25634 0.725346i 0.283976 0.958831i \(-0.408346\pi\)
0.972360 + 0.233485i \(0.0750130\pi\)
\(678\) −11.7955 44.0215i −0.453005 1.69064i
\(679\) −5.20546 5.92631i −0.199767 0.227431i
\(680\) 19.4858 11.2501i 0.747245 0.431422i
\(681\) −8.73427 + 32.5967i −0.334698 + 1.24911i
\(682\) −8.28452 + 8.28452i −0.317231 + 0.317231i
\(683\) −12.7501 + 12.7501i −0.487870 + 0.487870i −0.907634 0.419763i \(-0.862113\pi\)
0.419763 + 0.907634i \(0.362113\pi\)
\(684\) 1.46495 5.46727i 0.0560138 0.209046i
\(685\) −29.7023 + 17.1486i −1.13487 + 0.655216i
\(686\) 19.0583 12.7993i 0.727648 0.488679i
\(687\) −8.63101 32.2114i −0.329294 1.22894i
\(688\) 2.43029 1.40313i 0.0926541 0.0534938i
\(689\) 14.5513 + 11.0022i 0.554361 + 0.419152i
\(690\) −3.66073 + 6.34057i −0.139362 + 0.241382i
\(691\) −13.2542 + 13.2542i −0.504212 + 0.504212i −0.912744 0.408532i \(-0.866041\pi\)
0.408532 + 0.912744i \(0.366041\pi\)
\(692\) −0.618858 0.357298i −0.0235255 0.0135824i
\(693\) 7.15709 1.42947i 0.271876 0.0543011i
\(694\) 24.1712 + 24.1712i 0.917525 + 0.917525i
\(695\) −44.5344 + 11.9330i −1.68929 + 0.452643i
\(696\) −25.6152 25.6152i −0.970943 0.970943i
\(697\) −7.12510 26.5912i −0.269883 1.00722i
\(698\) 38.1000 + 21.9970i 1.44210 + 0.832599i
\(699\) 6.91262 11.9730i 0.261459 0.452861i
\(700\) 1.96549 0.971191i 0.0742887 0.0367076i
\(701\) 12.1851i 0.460223i 0.973164 + 0.230112i \(0.0739092\pi\)
−0.973164 + 0.230112i \(0.926091\pi\)
\(702\) −6.40383 8.22398i −0.241697 0.310394i
\(703\) −49.8807 28.7986i −1.88129 1.08616i
\(704\) 3.25350 12.1422i 0.122621 0.457628i
\(705\) 13.3197i 0.501647i
\(706\) 4.50170 + 7.79717i 0.169424 + 0.293450i
\(707\) −0.906313 + 13.9958i −0.0340854 + 0.526367i
\(708\) −2.03614 + 7.59899i −0.0765229 + 0.285587i
\(709\) −0.401518 1.49849i −0.0150793 0.0562768i 0.957976 0.286848i \(-0.0926073\pi\)
−0.973056 + 0.230571i \(0.925941\pi\)
\(710\) 35.8478 9.60540i 1.34535 0.360484i
\(711\) −10.8685 −0.407601
\(712\) −0.467538 −0.0175217
\(713\) 6.58129 1.76345i 0.246471 0.0660417i
\(714\) −13.6212 15.5074i −0.509759 0.580350i
\(715\) −8.00648 + 10.5892i −0.299425 + 0.396013i
\(716\) −4.09576 7.09406i −0.153066 0.265118i
\(717\) −43.1109 11.5515i −1.61000 0.431399i
\(718\) −9.75695 16.8995i −0.364126 0.630685i
\(719\) 11.1032 19.2313i 0.414080 0.717207i −0.581252 0.813724i \(-0.697437\pi\)
0.995331 + 0.0965166i \(0.0307701\pi\)
\(720\) −10.2789 + 10.2789i −0.383073 + 0.383073i
\(721\) 0.823996 12.7246i 0.0306872 0.473891i
\(722\) 24.1240 + 6.46400i 0.897802 + 0.240565i
\(723\) 2.46922 + 0.661624i 0.0918311 + 0.0246061i
\(724\) 0.419669i 0.0155969i
\(725\) −8.25472 + 4.76587i −0.306573 + 0.177000i
\(726\) 17.5602 + 17.5602i 0.651722 + 0.651722i
\(727\) 20.1830 0.748547 0.374274 0.927318i \(-0.377892\pi\)
0.374274 + 0.927318i \(0.377892\pi\)
\(728\) 2.13444 + 29.0515i 0.0791075 + 1.07672i
\(729\) 5.99197 0.221925
\(730\) 19.9437 + 19.9437i 0.738150 + 0.738150i
\(731\) 2.40461 1.38830i 0.0889376 0.0513481i
\(732\) 8.04083i 0.297197i
\(733\) 3.63806 + 0.974815i 0.134375 + 0.0360056i 0.325380 0.945583i \(-0.394508\pi\)
−0.191005 + 0.981589i \(0.561175\pi\)
\(734\) −0.387440 0.103814i −0.0143007 0.00383185i
\(735\) −24.7567 32.1589i −0.913163 1.18620i
\(736\) −1.84708 + 1.84708i −0.0680844 + 0.0680844i
\(737\) −9.23426 + 15.9942i −0.340148 + 0.589154i
\(738\) 11.7766 + 20.3976i 0.433501 + 0.750846i
\(739\) 16.7825 + 4.49685i 0.617353 + 0.165419i 0.553924 0.832567i \(-0.313130\pi\)
0.0634288 + 0.997986i \(0.479796\pi\)
\(740\) −5.55754 9.62594i −0.204299 0.353856i
\(741\) 39.6093 30.8429i 1.45509 1.13304i
\(742\) 15.7170 + 5.32147i 0.576990 + 0.195357i
\(743\) 3.38542 0.907121i 0.124199 0.0332790i −0.196184 0.980567i \(-0.562855\pi\)
0.320383 + 0.947288i \(0.396188\pi\)
\(744\) 45.4476 1.66619
\(745\) −43.6030 −1.59749
\(746\) −38.6598 + 10.3589i −1.41544 + 0.379265i
\(747\) 0.318229 + 1.18765i 0.0116434 + 0.0434538i
\(748\) 0.479395 1.78913i 0.0175284 0.0654169i
\(749\) 3.91214 + 2.60957i 0.142946 + 0.0953517i
\(750\) −11.5420 19.9914i −0.421455 0.729982i
\(751\) 1.77791i 0.0648770i 0.999474 + 0.0324385i \(0.0103273\pi\)
−0.999474 + 0.0324385i \(0.989673\pi\)
\(752\) 1.69958 6.34293i 0.0619774 0.231303i
\(753\) −55.2630 31.9061i −2.01390 1.16272i
\(754\) −3.27768 23.5996i −0.119366 0.859445i
\(755\) 22.9267i 0.834389i
\(756\) 2.37887 + 1.58682i 0.0865188 + 0.0577119i
\(757\) −24.7027 + 42.7863i −0.897834 + 1.55509i −0.0675762 + 0.997714i \(0.521527\pi\)
−0.830258 + 0.557380i \(0.811807\pi\)
\(758\) −14.8115 8.55140i −0.537977 0.310601i
\(759\) 0.829187 + 3.09457i 0.0300976 + 0.112326i
\(760\) 35.1987 + 35.1987i 1.27679 + 1.27679i
\(761\) 14.3625 3.84841i 0.520639 0.139505i 0.0110771 0.999939i \(-0.496474\pi\)
0.509562 + 0.860434i \(0.329807\pi\)
\(762\) 12.0690 + 12.0690i 0.437213 + 0.437213i
\(763\) −24.9920 8.46180i −0.904773 0.306338i
\(764\) 9.40231 + 5.42843i 0.340164 + 0.196394i
\(765\) −10.1703 + 10.1703i −0.367708 + 0.367708i
\(766\) 10.4249 18.0565i 0.376669 0.652409i
\(767\) −21.7011 + 16.8981i −0.783580 + 0.610156i
\(768\) −20.1953 + 11.6598i −0.728735 + 0.420735i
\(769\) 7.72722 + 28.8384i 0.278651 + 1.03994i 0.953355 + 0.301850i \(0.0976043\pi\)
−0.674705 + 0.738088i \(0.735729\pi\)
\(770\) −3.87251 + 11.4375i −0.139555 + 0.412179i
\(771\) −37.8102 + 21.8297i −1.36170 + 0.786179i
\(772\) 1.43016 5.33745i 0.0514727 0.192099i
\(773\) −26.2162 + 26.2162i −0.942932 + 0.942932i −0.998457 0.0555251i \(-0.982317\pi\)
0.0555251 + 0.998457i \(0.482317\pi\)