Properties

Label 177.2.f.a.56.15
Level $177$
Weight $2$
Character 177.56
Analytic conductor $1.413$
Analytic rank $0$
Dimension $504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(504\)
Relative dimension: \(18\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 56.15
Character \(\chi\) \(=\) 177.56
Dual form 177.2.f.a.98.15

$q$-expansion

\(f(q)\) \(=\) \(q+(1.81816 - 0.841171i) q^{2} +(1.13774 - 1.30597i) q^{3} +(1.30337 - 1.53444i) q^{4} +(-1.80043 + 2.99233i) q^{5} +(0.970053 - 3.33149i) q^{6} +(0.204672 - 3.77496i) q^{7} +(0.00711540 - 0.0256273i) q^{8} +(-0.411096 - 2.97170i) q^{9} +O(q^{10})\) \(q+(1.81816 - 0.841171i) q^{2} +(1.13774 - 1.30597i) q^{3} +(1.30337 - 1.53444i) q^{4} +(-1.80043 + 2.99233i) q^{5} +(0.970053 - 3.33149i) q^{6} +(0.204672 - 3.77496i) q^{7} +(0.00711540 - 0.0256273i) q^{8} +(-0.411096 - 2.97170i) q^{9} +(-0.756402 + 6.95501i) q^{10} +(-0.661460 + 4.03473i) q^{11} +(-0.521038 - 3.44795i) q^{12} +(-0.0782869 - 0.102985i) q^{13} +(-2.80326 - 7.03564i) q^{14} +(1.85947 + 5.75579i) q^{15} +(0.642804 + 3.92093i) q^{16} +(2.21810 - 0.120262i) q^{17} +(-3.24715 - 5.05723i) q^{18} +(-1.70433 + 1.61443i) q^{19} +(2.24494 + 6.66276i) q^{20} +(-4.69710 - 4.56222i) q^{21} +(2.19126 + 7.89219i) q^{22} +(-5.79120 + 1.27474i) q^{23} +(-0.0253730 - 0.0384497i) q^{24} +(-3.37047 - 6.35738i) q^{25} +(-0.228966 - 0.121390i) q^{26} +(-4.34866 - 2.84414i) q^{27} +(-5.52569 - 5.23422i) q^{28} +(3.33172 - 7.20139i) q^{29} +(8.22241 + 8.90082i) q^{30} +(-2.36427 + 2.49593i) q^{31} +(4.49674 + 6.63220i) q^{32} +(4.51665 + 5.45432i) q^{33} +(3.93170 - 2.08445i) q^{34} +(10.9274 + 7.40898i) q^{35} +(-5.09571 - 3.24241i) q^{36} +(3.94900 - 1.09643i) q^{37} +(-1.74074 + 4.36893i) q^{38} +(-0.223565 - 0.0149297i) q^{39} +(0.0638748 + 0.0674318i) q^{40} +(1.94403 - 8.83182i) q^{41} +(-12.3777 - 4.34377i) q^{42} +(7.68877 - 1.26051i) q^{43} +(5.32894 + 6.27371i) q^{44} +(9.63246 + 4.12019i) q^{45} +(-9.45705 + 7.18906i) q^{46} +(-5.56050 + 3.34564i) q^{47} +(5.85195 + 3.62152i) q^{48} +(-7.24945 - 0.788426i) q^{49} +(-11.4757 - 8.72360i) q^{50} +(2.36656 - 3.03359i) q^{51} +(-0.260061 - 0.0141001i) q^{52} +(-0.648427 - 5.96219i) q^{53} +(-10.2990 - 1.51314i) q^{54} +(-10.8823 - 9.24354i) q^{55} +(-0.0952858 - 0.0321055i) q^{56} +(0.169304 + 4.06260i) q^{57} -15.8958i q^{58} +(-3.04579 + 7.05147i) q^{59} +(11.2555 + 4.64866i) q^{60} +(-1.61647 - 3.49395i) q^{61} +(-2.19912 + 6.52676i) q^{62} +(-11.3022 + 0.943647i) q^{63} +(6.94556 + 4.17901i) q^{64} +(0.449114 - 0.0488441i) q^{65} +(12.8000 + 6.11755i) q^{66} +(4.01223 + 1.11399i) q^{67} +(2.70646 - 3.56029i) q^{68} +(-4.92411 + 9.01343i) q^{69} +(26.1000 + 4.27888i) q^{70} +(-2.69757 - 4.48340i) q^{71} +(-0.0790819 - 0.0106095i) q^{72} +(-0.805810 + 0.321064i) q^{73} +(6.25763 - 5.31528i) q^{74} +(-12.1372 - 2.83133i) q^{75} +(0.255878 + 4.71940i) q^{76} +(15.0956 + 3.32278i) q^{77} +(-0.419035 + 0.160911i) q^{78} +(14.0784 - 4.74358i) q^{79} +(-12.8900 - 5.13586i) q^{80} +(-8.66200 + 2.44331i) q^{81} +(-3.89451 - 17.6929i) q^{82} +(-2.40990 + 3.55434i) q^{83} +(-13.1225 + 1.26120i) q^{84} +(-3.63366 + 6.85380i) q^{85} +(12.9191 - 8.75938i) q^{86} +(-5.61415 - 12.5444i) q^{87} +(0.0986929 + 0.0456602i) q^{88} +(-10.7439 - 4.97065i) q^{89} +(20.9791 - 0.611377i) q^{90} +(-0.404786 + 0.274452i) q^{91} +(-5.59204 + 10.5477i) q^{92} +(0.569676 + 5.92738i) q^{93} +(-7.29563 + 10.7603i) q^{94} +(-1.76238 - 8.00659i) q^{95} +(13.7776 + 1.67312i) q^{96} +(9.59596 + 3.82338i) q^{97} +(-13.8439 + 4.66454i) q^{98} +(12.2619 + 0.306998i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} + O(q^{10}) \) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} - 58q^{10} - 15q^{12} - 58q^{13} - 38q^{15} - 66q^{16} - 29q^{18} - 66q^{19} - 24q^{21} - 62q^{22} - 29q^{24} - 20q^{25} - 54q^{27} - 26q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 13q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} - q^{45} - 46q^{46} + 147q^{48} - 48q^{49} + 59q^{51} - 58q^{52} + 174q^{54} - 58q^{55} + 83q^{57} + 250q^{60} - 58q^{61} + 82q^{63} + 10q^{64} + 226q^{66} - 58q^{67} + 87q^{69} - 58q^{70} + 145q^{72} - 58q^{73} - 28q^{75} - 150q^{76} - 13q^{78} - 30q^{79} + 13q^{81} - 58q^{82} - 69q^{84} - 86q^{85} - 36q^{87} + 22q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 162q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{21}{58}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.81816 0.841171i 1.28563 0.594798i 0.346404 0.938086i \(-0.387403\pi\)
0.939230 + 0.343288i \(0.111541\pi\)
\(3\) 1.13774 1.30597i 0.656874 0.754000i
\(4\) 1.30337 1.53444i 0.651684 0.767221i
\(5\) −1.80043 + 2.99233i −0.805175 + 1.33821i 0.132671 + 0.991160i \(0.457645\pi\)
−0.937846 + 0.347051i \(0.887183\pi\)
\(6\) 0.970053 3.33149i 0.396022 1.36008i
\(7\) 0.204672 3.77496i 0.0773589 1.42680i −0.659983 0.751280i \(-0.729437\pi\)
0.737342 0.675520i \(-0.236081\pi\)
\(8\) 0.00711540 0.0256273i 0.00251567 0.00906064i
\(9\) −0.411096 2.97170i −0.137032 0.990567i
\(10\) −0.756402 + 6.95501i −0.239195 + 2.19937i
\(11\) −0.661460 + 4.03473i −0.199438 + 1.21652i 0.677358 + 0.735654i \(0.263125\pi\)
−0.876796 + 0.480863i \(0.840323\pi\)
\(12\) −0.521038 3.44795i −0.150411 0.995338i
\(13\) −0.0782869 0.102985i −0.0217129 0.0285628i 0.785109 0.619358i \(-0.212607\pi\)
−0.806821 + 0.590795i \(0.798814\pi\)
\(14\) −2.80326 7.03564i −0.749202 1.88036i
\(15\) 1.85947 + 5.75579i 0.480113 + 1.48614i
\(16\) 0.642804 + 3.92093i 0.160701 + 0.980232i
\(17\) 2.21810 0.120262i 0.537968 0.0291678i 0.216846 0.976206i \(-0.430423\pi\)
0.321121 + 0.947038i \(0.395940\pi\)
\(18\) −3.24715 5.05723i −0.765360 1.19200i
\(19\) −1.70433 + 1.61443i −0.391001 + 0.370376i −0.857796 0.513990i \(-0.828167\pi\)
0.466796 + 0.884365i \(0.345408\pi\)
\(20\) 2.24494 + 6.66276i 0.501985 + 1.48984i
\(21\) −4.69710 4.56222i −1.02499 0.995557i
\(22\) 2.19126 + 7.89219i 0.467177 + 1.68262i
\(23\) −5.79120 + 1.27474i −1.20755 + 0.265801i −0.772741 0.634722i \(-0.781115\pi\)
−0.434807 + 0.900523i \(0.643184\pi\)
\(24\) −0.0253730 0.0384497i −0.00517924 0.00784852i
\(25\) −3.37047 6.35738i −0.674094 1.27148i
\(26\) −0.228966 0.121390i −0.0449039 0.0238065i
\(27\) −4.34866 2.84414i −0.836900 0.547356i
\(28\) −5.52569 5.23422i −1.04426 0.989174i
\(29\) 3.33172 7.20139i 0.618685 1.33727i −0.304354 0.952559i \(-0.598441\pi\)
0.923039 0.384706i \(-0.125697\pi\)
\(30\) 8.22241 + 8.90082i 1.50120 + 1.62506i
\(31\) −2.36427 + 2.49593i −0.424636 + 0.448282i −0.902847 0.429963i \(-0.858527\pi\)
0.478211 + 0.878245i \(0.341285\pi\)
\(32\) 4.49674 + 6.63220i 0.794919 + 1.17242i
\(33\) 4.51665 + 5.45432i 0.786248 + 0.949475i
\(34\) 3.93170 2.08445i 0.674280 0.357481i
\(35\) 10.9274 + 7.40898i 1.84707 + 1.25235i
\(36\) −5.09571 3.24241i −0.849286 0.540402i
\(37\) 3.94900 1.09643i 0.649212 0.180253i 0.0727156 0.997353i \(-0.476833\pi\)
0.576496 + 0.817100i \(0.304420\pi\)
\(38\) −1.74074 + 4.36893i −0.282385 + 0.708734i
\(39\) −0.223565 0.0149297i −0.0357990 0.00239066i
\(40\) 0.0638748 + 0.0674318i 0.0100995 + 0.0106619i
\(41\) 1.94403 8.83182i 0.303607 1.37930i −0.539696 0.841860i \(-0.681461\pi\)
0.843303 0.537439i \(-0.180608\pi\)
\(42\) −12.3777 4.34377i −1.90992 0.670259i
\(43\) 7.68877 1.26051i 1.17253 0.192226i 0.456126 0.889915i \(-0.349237\pi\)
0.716400 + 0.697689i \(0.245788\pi\)
\(44\) 5.32894 + 6.27371i 0.803367 + 0.945797i
\(45\) 9.63246 + 4.12019i 1.43592 + 0.614202i
\(46\) −9.45705 + 7.18906i −1.39437 + 1.05997i
\(47\) −5.56050 + 3.34564i −0.811083 + 0.488012i −0.859696 0.510805i \(-0.829347\pi\)
0.0486136 + 0.998818i \(0.484520\pi\)
\(48\) 5.85195 + 3.62152i 0.844656 + 0.522721i
\(49\) −7.24945 0.788426i −1.03564 0.112632i
\(50\) −11.4757 8.72360i −1.62291 1.23370i
\(51\) 2.36656 3.03359i 0.331385 0.424787i
\(52\) −0.260061 0.0141001i −0.0360639 0.00195533i
\(53\) −0.648427 5.96219i −0.0890683 0.818969i −0.950422 0.310963i \(-0.899348\pi\)
0.861354 0.508006i \(-0.169617\pi\)
\(54\) −10.2990 1.51314i −1.40151 0.205913i
\(55\) −10.8823 9.24354i −1.46737 1.24640i
\(56\) −0.0952858 0.0321055i −0.0127331 0.00429028i
\(57\) 0.169304 + 4.06260i 0.0224249 + 0.538105i
\(58\) 15.8958i 2.08723i
\(59\) −3.04579 + 7.05147i −0.396528 + 0.918023i
\(60\) 11.2555 + 4.64866i 1.45308 + 0.600140i
\(61\) −1.61647 3.49395i −0.206968 0.447354i 0.776096 0.630614i \(-0.217197\pi\)
−0.983064 + 0.183260i \(0.941335\pi\)
\(62\) −2.19912 + 6.52676i −0.279289 + 0.828899i
\(63\) −11.3022 + 0.943647i −1.42394 + 0.118888i
\(64\) 6.94556 + 4.17901i 0.868195 + 0.522376i
\(65\) 0.449114 0.0488441i 0.0557057 0.00605836i
\(66\) 12.8000 + 6.11755i 1.57557 + 0.753018i
\(67\) 4.01223 + 1.11399i 0.490172 + 0.136096i 0.503816 0.863811i \(-0.331929\pi\)
−0.0136433 + 0.999907i \(0.504343\pi\)
\(68\) 2.70646 3.56029i 0.328207 0.431748i
\(69\) −4.92411 + 9.01343i −0.592793 + 1.08509i
\(70\) 26.1000 + 4.27888i 3.11955 + 0.511424i
\(71\) −2.69757 4.48340i −0.320143 0.532081i 0.654439 0.756115i \(-0.272905\pi\)
−0.974581 + 0.224034i \(0.928077\pi\)
\(72\) −0.0790819 0.0106095i −0.00931989 0.00125034i
\(73\) −0.805810 + 0.321064i −0.0943130 + 0.0375777i −0.416817 0.908990i \(-0.636855\pi\)
0.322504 + 0.946568i \(0.395475\pi\)
\(74\) 6.25763 5.31528i 0.727434 0.617888i
\(75\) −12.1372 2.83133i −1.40149 0.326933i
\(76\) 0.255878 + 4.71940i 0.0293513 + 0.541352i
\(77\) 15.0956 + 3.32278i 1.72030 + 0.378666i
\(78\) −0.419035 + 0.160911i −0.0474464 + 0.0182196i
\(79\) 14.0784 4.74358i 1.58395 0.533694i 0.616629 0.787254i \(-0.288498\pi\)
0.967320 + 0.253560i \(0.0816015\pi\)
\(80\) −12.8900 5.13586i −1.44115 0.574207i
\(81\) −8.66200 + 2.44331i −0.962444 + 0.271479i
\(82\) −3.89451 17.6929i −0.430076 1.95386i
\(83\) −2.40990 + 3.55434i −0.264521 + 0.390139i −0.936634 0.350309i \(-0.886076\pi\)
0.672113 + 0.740448i \(0.265387\pi\)
\(84\) −13.1225 + 1.26120i −1.43178 + 0.137608i
\(85\) −3.63366 + 6.85380i −0.394125 + 0.743399i
\(86\) 12.9191 8.75938i 1.39310 0.944548i
\(87\) −5.61415 12.5444i −0.601900 1.34490i
\(88\) 0.0986929 + 0.0456602i 0.0105207 + 0.00486739i
\(89\) −10.7439 4.97065i −1.13885 0.526887i −0.242462 0.970161i \(-0.577955\pi\)
−0.896386 + 0.443274i \(0.853817\pi\)
\(90\) 20.9791 0.611377i 2.21140 0.0644448i
\(91\) −0.404786 + 0.274452i −0.0424331 + 0.0287704i
\(92\) −5.59204 + 10.5477i −0.583011 + 1.09968i
\(93\) 0.569676 + 5.92738i 0.0590727 + 0.614640i
\(94\) −7.29563 + 10.7603i −0.752487 + 1.10984i
\(95\) −1.76238 8.00659i −0.180817 0.821459i
\(96\) 13.7776 + 1.67312i 1.40617 + 0.170762i
\(97\) 9.59596 + 3.82338i 0.974322 + 0.388205i 0.802322 0.596891i \(-0.203598\pi\)
0.172000 + 0.985097i \(0.444977\pi\)
\(98\) −13.8439 + 4.66454i −1.39844 + 0.471190i
\(99\) 12.2619 + 0.306998i 1.23237 + 0.0308545i
\(100\) −14.1480 3.11421i −1.41480 0.311421i
\(101\) −0.0971954 1.79266i −0.00967130 0.178377i −0.999378 0.0352658i \(-0.988772\pi\)
0.989707 0.143111i \(-0.0457105\pi\)
\(102\) 1.75102 7.50623i 0.173377 0.743227i
\(103\) −12.1862 + 10.3511i −1.20075 + 1.01992i −0.201563 + 0.979475i \(0.564602\pi\)
−0.999182 + 0.0404466i \(0.987122\pi\)
\(104\) −0.00319627 + 0.00127351i −0.000313420 + 0.000124878i
\(105\) 22.1085 5.84136i 2.15756 0.570059i
\(106\) −6.19416 10.2948i −0.601630 0.999917i
\(107\) 13.8347 + 2.26809i 1.33746 + 0.219265i 0.787699 0.616060i \(-0.211272\pi\)
0.549756 + 0.835325i \(0.314721\pi\)
\(108\) −10.0321 + 2.96581i −0.965337 + 0.285385i
\(109\) −9.11500 + 11.9906i −0.873058 + 1.14849i 0.114840 + 0.993384i \(0.463365\pi\)
−0.987898 + 0.155105i \(0.950429\pi\)
\(110\) −27.5612 7.65234i −2.62786 0.729622i
\(111\) 3.06103 6.40472i 0.290540 0.607909i
\(112\) 14.9329 1.62405i 1.41103 0.153458i
\(113\) 5.18323 + 3.11865i 0.487597 + 0.293378i 0.738044 0.674753i \(-0.235750\pi\)
−0.250446 + 0.968130i \(0.580577\pi\)
\(114\) 3.72517 + 7.24405i 0.348894 + 0.678468i
\(115\) 6.61218 19.6243i 0.616589 1.82997i
\(116\) −6.70767 14.4984i −0.622792 1.34614i
\(117\) −0.273856 + 0.274982i −0.0253180 + 0.0254221i
\(118\) 0.393758 + 15.3827i 0.0362483 + 1.41609i
\(119\) 8.39784i 0.769829i
\(120\) 0.160737 0.00669849i 0.0146732 0.000611486i
\(121\) −5.41733 1.82531i −0.492484 0.165937i
\(122\) −5.87801 4.99283i −0.532170 0.452030i
\(123\) −9.32226 12.5872i −0.840560 1.13495i
\(124\) 0.748349 + 6.88095i 0.0672037 + 0.617928i
\(125\) 7.65621 + 0.415107i 0.684792 + 0.0371283i
\(126\) −19.7554 + 11.2228i −1.75995 + 0.999804i
\(127\) 0.661399 + 0.502782i 0.0586896 + 0.0446147i 0.634108 0.773245i \(-0.281368\pi\)
−0.575418 + 0.817859i \(0.695161\pi\)
\(128\) 0.211522 + 0.0230045i 0.0186961 + 0.00203333i
\(129\) 7.10163 11.4754i 0.625264 1.01035i
\(130\) 0.775475 0.466588i 0.0680137 0.0409225i
\(131\) 5.18615 3.94241i 0.453116 0.344450i −0.353592 0.935400i \(-0.615040\pi\)
0.806708 + 0.590950i \(0.201247\pi\)
\(132\) 14.2562 + 0.178436i 1.24084 + 0.0155309i
\(133\) 5.74558 + 6.76422i 0.498205 + 0.586532i
\(134\) 8.23194 1.34956i 0.711131 0.116584i
\(135\) 16.3401 7.89197i 1.40633 0.679232i
\(136\) 0.0127007 0.0576997i 0.00108907 0.00494770i
\(137\) 11.8376 + 12.4968i 1.01136 + 1.06768i 0.997701 + 0.0677702i \(0.0215885\pi\)
0.0136563 + 0.999907i \(0.495653\pi\)
\(138\) −1.37099 + 20.5299i −0.116706 + 1.74762i
\(139\) −2.92878 + 7.35068i −0.248416 + 0.623476i −0.999318 0.0369374i \(-0.988240\pi\)
0.750902 + 0.660414i \(0.229619\pi\)
\(140\) 25.6111 7.11089i 2.16453 0.600980i
\(141\) −1.95711 + 11.0683i −0.164818 + 0.932119i
\(142\) −8.67592 5.88242i −0.728067 0.493642i
\(143\) 0.467299 0.247746i 0.0390775 0.0207176i
\(144\) 11.3876 3.52210i 0.948964 0.293508i
\(145\) 15.5504 + 22.9352i 1.29139 + 1.90466i
\(146\) −1.19502 + 1.26157i −0.0989008 + 0.104408i
\(147\) −9.27765 + 8.57052i −0.765208 + 0.706884i
\(148\) 3.46458 7.48857i 0.284787 0.615557i
\(149\) −2.00935 1.90336i −0.164612 0.155929i 0.600960 0.799279i \(-0.294785\pi\)
−0.765572 + 0.643350i \(0.777544\pi\)
\(150\) −24.4491 + 5.06169i −1.99626 + 0.413286i
\(151\) −16.4893 8.74205i −1.34188 0.711418i −0.366180 0.930544i \(-0.619335\pi\)
−0.975697 + 0.219126i \(0.929679\pi\)
\(152\) 0.0292466 + 0.0551649i 0.00237221 + 0.00447446i
\(153\) −1.26923 6.54208i −0.102611 0.528896i
\(154\) 30.2412 6.65658i 2.43690 0.536403i
\(155\) −3.21196 11.5684i −0.257990 0.929198i
\(156\) −0.314296 + 0.323588i −0.0251638 + 0.0259078i
\(157\) −1.27968 3.79796i −0.102130 0.303110i 0.884391 0.466747i \(-0.154574\pi\)
−0.986521 + 0.163637i \(0.947677\pi\)
\(158\) 21.6067 20.4670i 1.71894 1.62826i
\(159\) −8.52415 5.93659i −0.676009 0.470802i
\(160\) −27.9418 + 1.51496i −2.20899 + 0.119768i
\(161\) 3.62679 + 22.1224i 0.285831 + 1.74349i
\(162\) −13.6937 + 11.7286i −1.07588 + 0.921482i
\(163\) 7.77557 + 19.5152i 0.609030 + 1.52855i 0.832608 + 0.553863i \(0.186847\pi\)
−0.223578 + 0.974686i \(0.571774\pi\)
\(164\) −11.0181 14.4941i −0.860372 1.13180i
\(165\) −24.4530 + 3.69522i −1.90367 + 0.287673i
\(166\) −1.39178 + 8.48949i −0.108023 + 0.658912i
\(167\) −1.56742 + 14.4122i −0.121290 + 1.11525i 0.762377 + 0.647133i \(0.224032\pi\)
−0.883668 + 0.468114i \(0.844934\pi\)
\(168\) −0.150339 + 0.0879124i −0.0115989 + 0.00678259i
\(169\) 3.47339 12.5100i 0.267184 0.962310i
\(170\) −0.841353 + 15.5178i −0.0645288 + 1.19016i
\(171\) 5.49825 + 4.40108i 0.420462 + 0.336559i
\(172\) 8.08711 13.4409i 0.616636 1.02486i
\(173\) −5.27058 + 6.20501i −0.400715 + 0.471758i −0.925100 0.379723i \(-0.876019\pi\)
0.524385 + 0.851481i \(0.324295\pi\)
\(174\) −20.7594 18.0853i −1.57377 1.37104i
\(175\) −24.6887 + 11.4222i −1.86629 + 0.863438i
\(176\) −16.2451 −1.22452
\(177\) 5.74367 + 12.0004i 0.431720 + 0.902007i
\(178\) −23.7152 −1.77753
\(179\) −4.20505 + 1.94547i −0.314300 + 0.145411i −0.570697 0.821161i \(-0.693327\pi\)
0.256396 + 0.966572i \(0.417465\pi\)
\(180\) 18.8768 9.41034i 1.40700 0.701405i
\(181\) 3.16621 3.72755i 0.235342 0.277067i −0.631795 0.775136i \(-0.717682\pi\)
0.867137 + 0.498069i \(0.165957\pi\)
\(182\) −0.505105 + 0.839491i −0.0374409 + 0.0622272i
\(183\) −6.40210 1.86414i −0.473257 0.137802i
\(184\) −0.00853849 + 0.157483i −0.000629466 + 0.0116098i
\(185\) −3.82899 + 13.7908i −0.281513 + 1.01392i
\(186\) 6.02170 + 10.2977i 0.441532 + 0.755066i
\(187\) −0.981960 + 9.02897i −0.0718080 + 0.660264i
\(188\) −2.11368 + 12.8929i −0.154156 + 0.940310i
\(189\) −11.6266 + 15.8339i −0.845709 + 1.15175i
\(190\) −9.93921 13.0748i −0.721066 0.948546i
\(191\) −2.03971 5.11929i −0.147588 0.370419i 0.836533 0.547917i \(-0.184579\pi\)
−0.984121 + 0.177498i \(0.943200\pi\)
\(192\) 13.3599 4.31605i 0.964166 0.311484i
\(193\) −1.51612 9.24795i −0.109133 0.665682i −0.983568 0.180539i \(-0.942216\pi\)
0.874435 0.485143i \(-0.161232\pi\)
\(194\) 20.6631 1.12032i 1.48353 0.0804344i
\(195\) 0.447186 0.642100i 0.0320237 0.0459817i
\(196\) −10.6585 + 10.0963i −0.761321 + 0.721162i
\(197\) −3.97516 11.7979i −0.283219 0.840563i −0.990968 0.134099i \(-0.957186\pi\)
0.707749 0.706464i \(-0.249711\pi\)
\(198\) 22.5524 9.75620i 1.60273 0.693343i
\(199\) 2.55132 + 9.18902i 0.180858 + 0.651392i 0.997265 + 0.0739145i \(0.0235492\pi\)
−0.816406 + 0.577478i \(0.804037\pi\)
\(200\) −0.186905 + 0.0411409i −0.0132162 + 0.00290910i
\(201\) 6.01971 3.97241i 0.424598 0.280192i
\(202\) −1.68465 3.17759i −0.118532 0.223575i
\(203\) −26.5030 14.0510i −1.86015 0.986189i
\(204\) −1.57037 7.58523i −0.109948 0.531072i
\(205\) 22.9276 + 21.7182i 1.60134 + 1.51687i
\(206\) −13.4495 + 29.0706i −0.937071 + 2.02545i
\(207\) 6.16888 + 16.6857i 0.428767 + 1.15973i
\(208\) 0.353472 0.373156i 0.0245089 0.0258737i
\(209\) −5.38644 7.94441i −0.372588 0.549526i
\(210\) 35.2831 29.2175i 2.43477 2.01620i
\(211\) 15.7378 8.34367i 1.08344 0.574402i 0.171689 0.985151i \(-0.445078\pi\)
0.911748 + 0.410749i \(0.134733\pi\)
\(212\) −9.99377 6.77595i −0.686375 0.465374i
\(213\) −8.92430 1.57800i −0.611483 0.108123i
\(214\) 27.0616 7.51363i 1.84990 0.513621i
\(215\) −10.0712 + 25.2768i −0.686850 + 1.72386i
\(216\) −0.103830 + 0.0912074i −0.00706476 + 0.00620588i
\(217\) 8.93813 + 9.43587i 0.606760 + 0.640549i
\(218\) −6.48641 + 29.4681i −0.439315 + 1.99583i
\(219\) −0.497503 + 1.41765i −0.0336182 + 0.0957958i
\(220\) −28.3674 + 4.65059i −1.91253 + 0.313543i
\(221\) −0.186033 0.219015i −0.0125139 0.0147325i
\(222\) 0.177979 14.2197i 0.0119452 0.954361i
\(223\) −5.60876 + 4.26367i −0.375591 + 0.285517i −0.775890 0.630868i \(-0.782699\pi\)
0.400300 + 0.916384i \(0.368906\pi\)
\(224\) 25.9566 15.6176i 1.73430 1.04349i
\(225\) −17.5066 + 12.6295i −1.16711 + 0.841969i
\(226\) 12.0473 + 1.31022i 0.801372 + 0.0871544i
\(227\) 11.2108 + 8.52220i 0.744085 + 0.565639i 0.907065 0.420991i \(-0.138318\pi\)
−0.162980 + 0.986629i \(0.552111\pi\)
\(228\) 6.45450 + 5.03528i 0.427460 + 0.333469i
\(229\) 14.6745 + 0.795627i 0.969717 + 0.0525765i 0.532187 0.846627i \(-0.321371\pi\)
0.437530 + 0.899204i \(0.355853\pi\)
\(230\) −4.48534 41.2420i −0.295755 2.71942i
\(231\) 21.5143 15.9338i 1.41553 1.04837i
\(232\) −0.160846 0.136624i −0.0105601 0.00896980i
\(233\) 3.39050 + 1.14239i 0.222119 + 0.0748407i 0.428161 0.903703i \(-0.359162\pi\)
−0.206042 + 0.978543i \(0.566058\pi\)
\(234\) −0.266608 + 0.730321i −0.0174287 + 0.0477426i
\(235\) 22.6625i 1.47834i
\(236\) 6.85029 + 13.8642i 0.445916 + 0.902485i
\(237\) 9.82265 23.7829i 0.638050 1.54487i
\(238\) −7.06402 15.2686i −0.457892 0.989718i
\(239\) −2.74168 + 8.13702i −0.177345 + 0.526340i −0.999050 0.0435722i \(-0.986126\pi\)
0.821706 + 0.569912i \(0.193023\pi\)
\(240\) −21.3728 + 10.9907i −1.37961 + 0.709446i
\(241\) −17.9771 10.8165i −1.15801 0.696750i −0.198963 0.980007i \(-0.563757\pi\)
−0.959044 + 0.283257i \(0.908585\pi\)
\(242\) −11.3850 + 1.23819i −0.731854 + 0.0795939i
\(243\) −6.66422 + 14.0921i −0.427510 + 0.904011i
\(244\) −7.46812 2.07351i −0.478098 0.132743i
\(245\) 15.4113 20.2733i 0.984594 1.29521i
\(246\) −27.5373 15.0439i −1.75571 0.959161i
\(247\) 0.299689 + 0.0491314i 0.0190687 + 0.00312616i
\(248\) 0.0471413 + 0.0783495i 0.00299348 + 0.00497520i
\(249\) 1.90000 + 7.19116i 0.120408 + 0.455721i
\(250\) 14.2694 5.68544i 0.902476 0.359579i
\(251\) 0.269701 0.229086i 0.0170234 0.0144598i −0.638834 0.769344i \(-0.720583\pi\)
0.655858 + 0.754885i \(0.272307\pi\)
\(252\) −13.2829 + 18.5725i −0.836746 + 1.16996i
\(253\) −1.31258 24.2091i −0.0825212 1.52201i
\(254\) 1.62545 + 0.357790i 0.101990 + 0.0224497i
\(255\) 4.81668 + 12.5433i 0.301632 + 0.785491i
\(256\) −14.9591 + 5.04032i −0.934947 + 0.315020i
\(257\) 9.31846 + 3.71282i 0.581270 + 0.231599i 0.642192 0.766543i \(-0.278025\pi\)
−0.0609226 + 0.998142i \(0.519404\pi\)
\(258\) 3.25914 26.8378i 0.202905 1.67085i
\(259\) −3.33074 15.1317i −0.206962 0.940239i
\(260\) 0.510412 0.752802i 0.0316544 0.0466868i
\(261\) −22.7700 6.94040i −1.40943 0.429600i
\(262\) 6.11301 11.5304i 0.377663 0.712348i
\(263\) −6.00733 + 4.07307i −0.370428 + 0.251156i −0.732170 0.681122i \(-0.761492\pi\)
0.361742 + 0.932278i \(0.382182\pi\)
\(264\) 0.171917 0.0769402i 0.0105808 0.00473534i
\(265\) 19.0083 + 8.79417i 1.16767 + 0.540221i
\(266\) 16.1362 + 7.46542i 0.989377 + 0.457734i
\(267\) −18.7152 + 8.37584i −1.14535 + 0.512593i
\(268\) 6.93877 4.70460i 0.423853 0.287379i
\(269\) 7.03701 13.2732i 0.429054 0.809282i −0.570877 0.821036i \(-0.693397\pi\)
0.999931 + 0.0117539i \(0.00374146\pi\)
\(270\) 23.0704 28.0936i 1.40402 1.70972i
\(271\) −6.63055 + 9.77933i −0.402777 + 0.594052i −0.973946 0.226781i \(-0.927180\pi\)
0.571169 + 0.820833i \(0.306490\pi\)
\(272\) 1.89734 + 8.61970i 0.115043 + 0.522646i
\(273\) −0.102116 + 0.840891i −0.00618037 + 0.0508931i
\(274\) 32.0347 + 12.7638i 1.93529 + 0.771089i
\(275\) 27.8798 9.39378i 1.68121 0.566467i
\(276\) 7.41267 + 19.3036i 0.446190 + 1.16194i
\(277\) 3.89587 + 0.857547i 0.234080 + 0.0515250i 0.330461 0.943820i \(-0.392796\pi\)
−0.0963810 + 0.995345i \(0.530727\pi\)
\(278\) 0.858186 + 15.8283i 0.0514706 + 0.949319i
\(279\) 8.38910 + 5.99983i 0.502242 + 0.359201i
\(280\) 0.267626 0.227323i 0.0159937 0.0135852i
\(281\) 19.5888 7.80488i 1.16857 0.465600i 0.296524 0.955026i \(-0.404173\pi\)
0.872045 + 0.489425i \(0.162793\pi\)
\(282\) 5.75200 + 21.7702i 0.342526 + 1.29640i
\(283\) −0.792257 1.31674i −0.0470948 0.0782722i 0.832416 0.554152i \(-0.186957\pi\)
−0.879510 + 0.475880i \(0.842130\pi\)
\(284\) −10.3954 1.70425i −0.616856 0.101128i
\(285\) −12.4615 6.80780i −0.738154 0.403260i
\(286\) 0.641228 0.843521i 0.0379166 0.0498784i
\(287\) −32.9419 9.14626i −1.94450 0.539887i
\(288\) 17.8603 16.0894i 1.05243 0.948080i
\(289\) −11.9949 + 1.30452i −0.705580 + 0.0767364i
\(290\) 47.5656 + 28.6193i 2.79315 + 1.68058i
\(291\) 15.9109 8.18199i 0.932714 0.479637i
\(292\) −0.557612 + 1.65493i −0.0326318 + 0.0968477i
\(293\) −7.09180 15.3287i −0.414308 0.895511i −0.996589 0.0825240i \(-0.973702\pi\)
0.582281 0.812987i \(-0.302160\pi\)
\(294\) −9.65899 + 23.3867i −0.563323 + 1.36394i
\(295\) −15.6166 21.8096i −0.909234 1.26981i
\(296\) 0.109004i 0.00633573i
\(297\) 14.3518 15.6644i 0.832777 0.908940i
\(298\) −5.25437 1.77040i −0.304377 0.102557i
\(299\) 0.584653 + 0.496609i 0.0338114 + 0.0287196i
\(300\) −20.1638 + 14.9337i −1.16416 + 0.862195i
\(301\) −3.18469 29.2828i −0.183563 1.68783i
\(302\) −37.3337 2.02417i −2.14831 0.116478i
\(303\) −2.45174 1.91265i −0.140849 0.109879i
\(304\) −7.42562 5.64481i −0.425888 0.323752i
\(305\) 13.3654 + 1.45357i 0.765300 + 0.0832314i
\(306\) −7.81068 10.8269i −0.446507 0.618933i
\(307\) 17.5426 10.5550i 1.00121 0.602408i 0.0821893 0.996617i \(-0.473809\pi\)
0.919021 + 0.394208i \(0.128981\pi\)
\(308\) 24.7737 18.8325i 1.41161 1.07308i
\(309\) −0.346600 + 27.6916i −0.0197174 + 1.57532i
\(310\) −15.5709 18.3314i −0.884366 1.04116i
\(311\) 3.41126 0.559248i 0.193435 0.0317120i −0.0642856 0.997932i \(-0.520477\pi\)
0.257721 + 0.966219i \(0.417029\pi\)
\(312\) −0.00197336 + 0.00562314i −0.000111719 + 0.000318347i
\(313\) −1.78951 + 8.12984i −0.101149 + 0.459526i 0.898634 + 0.438700i \(0.144561\pi\)
−0.999783 + 0.0208264i \(0.993370\pi\)
\(314\) −5.52139 5.82886i −0.311590 0.328942i
\(315\) 17.5250 35.5188i 0.987424 2.00126i
\(316\) 11.0706 27.7852i 0.622772 1.56304i
\(317\) −17.3378 + 4.81382i −0.973789 + 0.270371i −0.717754 0.696296i \(-0.754830\pi\)
−0.256035 + 0.966668i \(0.582416\pi\)
\(318\) −20.4920 3.62341i −1.14913 0.203191i
\(319\) 26.8519 + 18.2060i 1.50342 + 1.01934i
\(320\) −25.0099 + 13.2594i −1.39810 + 0.741225i
\(321\) 18.7024 15.4872i 1.04387 0.864412i
\(322\) 25.2028 + 37.1714i 1.40450 + 2.07148i
\(323\) −3.58622 + 3.78593i −0.199543 + 0.210655i
\(324\) −7.54065 + 16.4759i −0.418925 + 0.915326i
\(325\) −0.390849 + 0.844807i −0.0216804 + 0.0468615i
\(326\) 30.5529 + 28.9412i 1.69217 + 1.60291i
\(327\) 5.28879 + 25.5460i 0.292471 + 1.41270i
\(328\) −0.212504 0.112662i −0.0117335 0.00622073i
\(329\) 11.4916 + 21.6754i 0.633552 + 1.19501i
\(330\) −41.3512 + 27.2877i −2.27631 + 1.50214i
\(331\) −14.5821 + 3.20977i −0.801505 + 0.176425i −0.596791 0.802397i \(-0.703558\pi\)
−0.204715 + 0.978822i \(0.565627\pi\)
\(332\) 2.31294 + 8.33046i 0.126939 + 0.457193i
\(333\) −4.88169 11.2845i −0.267515 0.618387i
\(334\) 9.27328 + 27.5221i 0.507411 + 1.50594i
\(335\) −10.5572 + 10.0003i −0.576799 + 0.546373i
\(336\) 14.8688 21.3496i 0.811160 1.16472i
\(337\) 10.4808 0.568251i 0.570924 0.0309546i 0.233582 0.972337i \(-0.424955\pi\)
0.337341 + 0.941382i \(0.390472\pi\)
\(338\) −4.20788 25.6670i −0.228879 1.39610i
\(339\) 9.97002 3.22092i 0.541497 0.174936i
\(340\) 5.78078 + 14.5087i 0.313507 + 0.786843i
\(341\) −8.50653 11.1902i −0.460655 0.605981i
\(342\) 13.6988 + 3.37691i 0.740744 + 0.182602i
\(343\) −0.178715 + 1.09011i −0.00964968 + 0.0588604i
\(344\) 0.0224051 0.206012i 0.00120800 0.0111074i
\(345\) −18.1057 30.9626i −0.974777 1.66697i
\(346\) −4.36329 + 15.7152i −0.234572 + 0.844853i
\(347\) 1.35478 24.9874i 0.0727283 1.34140i −0.703388 0.710806i \(-0.748330\pi\)
0.776117 0.630589i \(-0.217187\pi\)
\(348\) −26.5660 7.73541i −1.42409 0.414661i
\(349\) −4.03074 + 6.69914i −0.215761 + 0.358597i −0.945768 0.324842i \(-0.894689\pi\)
0.730008 + 0.683439i \(0.239516\pi\)
\(350\) −35.2800 + 41.5348i −1.88580 + 2.22013i
\(351\) 0.0475401 + 0.670505i 0.00253750 + 0.0357889i
\(352\) −29.7335 + 13.7562i −1.58480 + 0.733208i
\(353\) −7.13365 −0.379686 −0.189843 0.981814i \(-0.560798\pi\)
−0.189843 + 0.981814i \(0.560798\pi\)
\(354\) 20.5373 + 16.9873i 1.09155 + 0.902865i
\(355\) 18.2726 0.969808
\(356\) −21.6304 + 10.0073i −1.14641 + 0.530385i
\(357\) −10.9673 9.55455i −0.580451 0.505681i
\(358\) −6.00900 + 7.07434i −0.317585 + 0.373890i
\(359\) 1.04640 1.73913i 0.0552269 0.0917879i −0.828014 0.560708i \(-0.810529\pi\)
0.883241 + 0.468920i \(0.155357\pi\)
\(360\) 0.174128 0.217538i 0.00917737 0.0114652i
\(361\) −0.730272 + 13.4691i −0.0384354 + 0.708899i
\(362\) 2.62117 9.44060i 0.137766 0.496187i
\(363\) −8.54730 + 4.99812i −0.448617 + 0.262333i
\(364\) −0.106454 + 0.978832i −0.00557973 + 0.0513048i
\(365\) 0.490072 2.98930i 0.0256515 0.156467i
\(366\) −13.2081 + 1.99595i −0.690399 + 0.104330i
\(367\) −15.3771 20.2282i −0.802678 1.05590i −0.997183 0.0750029i \(-0.976103\pi\)
0.194506 0.980901i \(-0.437690\pi\)
\(368\) −8.72076 21.8875i −0.454601 1.14096i
\(369\) −27.0447 2.14635i −1.40789 0.111734i
\(370\) 4.63867 + 28.2947i 0.241153 + 1.47097i
\(371\) −22.6397 + 1.22749i −1.17540 + 0.0637281i
\(372\) 9.83772 + 6.85141i 0.510062 + 0.355229i
\(373\) −16.9353 + 16.0419i −0.876875 + 0.830620i −0.986569 0.163345i \(-0.947771\pi\)
0.109694 + 0.993965i \(0.465013\pi\)
\(374\) 5.80954 + 17.2421i 0.300404 + 0.891569i
\(375\) 9.25289 9.52646i 0.477817 0.491945i
\(376\) 0.0461748 + 0.166307i 0.00238128 + 0.00857660i
\(377\) −1.00246 + 0.220659i −0.0516295 + 0.0113645i
\(378\) −7.81996 + 38.5685i −0.402216 + 1.98375i
\(379\) −1.64249 3.09806i −0.0843690 0.159137i 0.837737 0.546073i \(-0.183878\pi\)
−0.922106 + 0.386937i \(0.873533\pi\)
\(380\) −14.5827 7.73126i −0.748076 0.396605i
\(381\) 1.40912 0.291729i 0.0721912 0.0149457i
\(382\) −8.01471 7.59194i −0.410068 0.388437i
\(383\) 10.1291 21.8938i 0.517574 1.11872i −0.455923 0.890019i \(-0.650691\pi\)
0.973497 0.228699i \(-0.0734472\pi\)
\(384\) 0.270701 0.250068i 0.0138141 0.0127612i
\(385\) −37.1213 + 39.1885i −1.89188 + 1.99723i
\(386\) −10.5357 15.5389i −0.536251 0.790911i
\(387\) −6.90668 22.3305i −0.351086 1.13512i
\(388\) 18.3738 9.74118i 0.932790 0.494534i
\(389\) −13.2546 8.98685i −0.672036 0.455652i 0.176843 0.984239i \(-0.443412\pi\)
−0.848879 + 0.528587i \(0.822722\pi\)
\(390\) 0.272941 1.54360i 0.0138209 0.0781632i
\(391\) −12.6921 + 3.52395i −0.641869 + 0.178214i
\(392\) −0.0717880 + 0.180174i −0.00362584 + 0.00910018i
\(393\) 0.751835 11.2584i 0.0379251 0.567909i
\(394\) −17.1515 18.1066i −0.864080 0.912198i
\(395\) −11.1528 + 50.6678i −0.561160 + 2.54938i
\(396\) 16.4529 18.4151i 0.826788 0.925393i
\(397\) −16.2076 + 2.65710i −0.813437 + 0.133356i −0.554121 0.832436i \(-0.686945\pi\)
−0.259316 + 0.965793i \(0.583497\pi\)
\(398\) 12.3682 + 14.5610i 0.619964 + 0.729878i
\(399\) 15.3708 + 0.192387i 0.769503 + 0.00963141i
\(400\) 22.7603 17.3019i 1.13802 0.865097i
\(401\) 6.56247 3.94851i 0.327714 0.197179i −0.342182 0.939634i \(-0.611166\pi\)
0.669896 + 0.742455i \(0.266338\pi\)
\(402\) 7.60333 12.2861i 0.379220 0.612774i
\(403\) 0.442134 + 0.0480850i 0.0220243 + 0.00239528i
\(404\) −2.87742 2.18736i −0.143157 0.108825i
\(405\) 8.28409 30.3186i 0.411640 1.50654i
\(406\) −60.0061 3.25344i −2.97805 0.161465i
\(407\) 1.81171 + 16.6584i 0.0898031 + 0.825726i
\(408\) −0.0609038 0.0822338i −0.00301519 0.00407118i
\(409\) −10.3452 8.78727i −0.511536 0.434503i 0.354077 0.935216i \(-0.384795\pi\)
−0.865613 + 0.500714i \(0.833071\pi\)
\(410\) 59.9549 + 20.2012i 2.96096 + 0.997664i
\(411\) 29.7886 1.24140i 1.46936 0.0612339i
\(412\) 32.1903i 1.58590i
\(413\) 25.9956 + 12.9410i 1.27916 + 0.636783i
\(414\) 25.2515 + 25.1481i 1.24104 + 1.23596i
\(415\) −6.29691 13.6105i −0.309103 0.668115i
\(416\) 0.330979 0.982310i 0.0162276 0.0481617i
\(417\) 6.26755 + 12.1880i 0.306923 + 0.596851i
\(418\) −16.4760 9.91329i −0.805868 0.484875i
\(419\) −4.24151 + 0.461292i −0.207211 + 0.0225356i −0.211136 0.977457i \(-0.567716\pi\)
0.00392468 + 0.999992i \(0.498751\pi\)
\(420\) 19.8522 41.5376i 0.968688 2.02683i
\(421\) 33.8455 + 9.39716i 1.64953 + 0.457990i 0.963086 0.269193i \(-0.0867571\pi\)
0.686444 + 0.727183i \(0.259171\pi\)
\(422\) 21.5955 28.4083i 1.05125 1.38290i
\(423\) 12.2282 + 15.1488i 0.594553 + 0.736558i
\(424\) −0.157409 0.0258059i −0.00764445 0.00125324i
\(425\) −8.24058 13.6960i −0.399727 0.664351i
\(426\) −17.5532 + 4.63780i −0.850454 + 0.224702i
\(427\) −13.5204 + 5.38700i −0.654296 + 0.260695i
\(428\) 21.5120 18.2725i 1.03982 0.883233i
\(429\) 0.208116 0.892147i 0.0100480 0.0430733i
\(430\) 2.95105 + 54.4289i 0.142312 + 2.62479i
\(431\) 27.1481 + 5.97575i 1.30768 + 0.287842i 0.813523 0.581533i \(-0.197547\pi\)
0.494154 + 0.869374i \(0.335478\pi\)
\(432\) 8.35635 18.8790i 0.402045 0.908317i
\(433\) −12.1613 + 4.09763i −0.584436 + 0.196919i −0.595960 0.803014i \(-0.703228\pi\)
0.0115239 + 0.999934i \(0.496332\pi\)
\(434\) 24.1881 + 9.63743i 1.16107 + 0.462612i
\(435\) 47.6449 + 5.78592i 2.28440 + 0.277414i
\(436\) 6.51866 + 29.6146i 0.312187 + 1.41828i
\(437\) 7.81215 11.5221i 0.373706 0.551175i
\(438\) 0.287943 + 2.99600i 0.0137585 + 0.143154i
\(439\) 5.37900 10.1459i 0.256726 0.484236i −0.721327 0.692595i \(-0.756467\pi\)
0.978052 + 0.208359i \(0.0668121\pi\)
\(440\) −0.314320 + 0.213114i −0.0149846 + 0.0101598i
\(441\) 0.637261 + 21.8673i 0.0303457 + 1.04130i
\(442\) −0.522467 0.241719i −0.0248512 0.0114974i
\(443\) −36.7103 16.9840i −1.74416 0.806935i −0.988360 0.152133i \(-0.951386\pi\)
−0.755800 0.654802i \(-0.772752\pi\)
\(444\) −5.83803 13.0447i −0.277061 0.619073i
\(445\) 34.2174 23.2000i 1.62206 1.09978i
\(446\) −6.61116 + 12.4700i −0.313047 + 0.590470i
\(447\) −4.77184 + 0.458618i −0.225700 + 0.0216919i
\(448\) 17.1971 25.3639i 0.812488 1.19833i
\(449\) −4.26973 19.3976i −0.201501 0.915428i −0.963470 0.267815i \(-0.913698\pi\)
0.761969 0.647613i \(-0.224233\pi\)
\(450\) −21.2063 + 37.6886i −0.999675 + 1.77666i
\(451\) 34.3481 + 13.6855i 1.61739 + 0.644427i
\(452\) 11.5410 3.88863i 0.542845 0.182906i
\(453\) −30.1773 + 11.5882i −1.41785 + 0.544463i
\(454\) 27.5516 + 6.06457i 1.29306 + 0.284624i
\(455\) −0.0924632 1.70538i −0.00433474 0.0799496i
\(456\) 0.105318 + 0.0245682i 0.00493199 + 0.00115051i
\(457\) −5.05159 + 4.29086i −0.236304 + 0.200718i −0.757712 0.652589i \(-0.773683\pi\)
0.521408 + 0.853307i \(0.325407\pi\)
\(458\) 27.3498 10.8972i 1.27797 0.509191i
\(459\) −9.98779 5.78561i −0.466190 0.270049i
\(460\) −21.4942 35.7236i −1.00217 1.66562i
\(461\) −0.0780012 0.0127877i −0.00363288 0.000595580i 0.159965 0.987123i \(-0.448862\pi\)
−0.163598 + 0.986527i \(0.552310\pi\)
\(462\) 25.7133 47.0674i 1.19629 2.18977i
\(463\) 5.53940 7.28695i 0.257438 0.338653i −0.649158 0.760653i \(-0.724879\pi\)
0.906596 + 0.422000i \(0.138672\pi\)
\(464\) 30.3778 + 8.43435i 1.41025 + 0.391555i
\(465\) −18.7623 8.96714i −0.870083 0.415841i
\(466\) 7.12543 0.774937i 0.330079 0.0358983i
\(467\) −29.6937 17.8661i −1.37406 0.826745i −0.378942 0.925420i \(-0.623712\pi\)
−0.995120 + 0.0986751i \(0.968540\pi\)
\(468\) 0.0650088 + 0.778619i 0.00300503 + 0.0359917i
\(469\) 5.02646 14.9180i 0.232100 0.688850i
\(470\) −19.0630 41.2040i −0.879310 1.90060i
\(471\) −6.41595 2.64987i −0.295631 0.122099i
\(472\) 0.159038 + 0.128229i 0.00732034 + 0.00590224i
\(473\) 31.8559i 1.46473i
\(474\) −2.14635 51.5037i −0.0985852 2.36564i
\(475\) 16.0080 + 5.39371i 0.734496 + 0.247480i
\(476\) −12.8860 10.9455i −0.590629 0.501685i
\(477\) −17.4513 + 4.37796i −0.799038 + 0.200453i
\(478\) 1.85980 + 17.1006i 0.0850655 + 0.782164i
\(479\) 8.26057 + 0.447875i 0.377435 + 0.0204639i 0.241881 0.970306i \(-0.422236\pi\)
0.135554 + 0.990770i \(0.456718\pi\)
\(480\) −29.8120 + 38.2147i −1.36073 + 1.74425i
\(481\) −0.422071 0.320850i −0.0192448 0.0146295i
\(482\) −41.7838 4.54426i −1.90320 0.206985i
\(483\) 33.0175 + 20.4331i 1.50235 + 0.929738i
\(484\) −9.86160 + 5.93353i −0.448255 + 0.269706i
\(485\) −28.7176 + 21.8306i −1.30400 + 0.991276i
\(486\) −0.262733 + 31.2275i −0.0119178 + 1.41651i
\(487\) 0.439395 + 0.517296i 0.0199109 + 0.0234409i 0.772027 0.635589i \(-0.219243\pi\)
−0.752116 + 0.659030i \(0.770967\pi\)
\(488\) −0.101042 + 0.0165651i −0.00457398 + 0.000749866i
\(489\) 34.3328 + 12.0486i 1.55258 + 0.544856i
\(490\) 10.9670 49.8236i 0.495439 2.25080i
\(491\) 1.86723 + 1.97121i 0.0842670 + 0.0889596i 0.766765 0.641928i \(-0.221865\pi\)
−0.682498 + 0.730887i \(0.739106\pi\)
\(492\) −31.4646 2.10121i −1.41853 0.0947299i
\(493\) 6.52402 16.3741i 0.293827 0.737451i
\(494\) 0.586210 0.162760i 0.0263748 0.00732294i
\(495\) −22.9953 + 36.1390i −1.03356 + 1.62433i
\(496\) −11.3061 7.66574i −0.507660 0.344202i
\(497\) −17.4768 + 9.26559i −0.783939 + 0.415618i
\(498\) 9.50351 + 11.4765i 0.425862 + 0.514272i
\(499\) −11.6244 17.1447i −0.520378 0.767500i 0.473163 0.880975i \(-0.343112\pi\)
−0.993541 + 0.113475i \(0.963802\pi\)
\(500\) 10.6158 11.2070i 0.474753 0.501191i
\(501\) 17.0385 + 18.4443i 0.761224 + 0.824030i
\(502\) 0.297659 0.643379i 0.0132852 0.0287154i
\(503\) −7.19517 6.81563i −0.320817 0.303894i 0.510295 0.860000i \(-0.329536\pi\)
−0.831112 + 0.556106i \(0.812295\pi\)
\(504\) −0.0562363 + 0.296359i −0.00250497 + 0.0132009i
\(505\) 5.53924 + 2.93672i 0.246493 + 0.130682i
\(506\) −22.7505 42.9119i −1.01138 1.90767i
\(507\) −12.3859 18.7693i −0.550075 0.833573i
\(508\) 1.63354 0.359569i 0.0724764 0.0159533i
\(509\) 9.48503 + 34.1620i 0.420416 + 1.51420i 0.806217 + 0.591621i \(0.201512\pi\)
−0.385800 + 0.922582i \(0.626075\pi\)
\(510\) 19.3085 + 18.7540i 0.854997 + 0.830443i
\(511\) 1.04708 + 3.10761i 0.0463200 + 0.137473i
\(512\) −23.2673 + 22.0400i −1.02828 + 0.974038i
\(513\) 12.0032 2.17324i 0.529956 0.0959510i
\(514\) 20.0656 1.08792i 0.885055 0.0479863i
\(515\) −9.03345 55.1016i −0.398061 2.42807i
\(516\) −8.35231 25.8537i −0.367690 1.13815i
\(517\) −9.82072 24.6481i −0.431915 1.08402i
\(518\) −18.7842 24.7102i −0.825330 1.08570i
\(519\) 2.10698 + 13.9429i 0.0924863 + 0.612025i
\(520\) 0.00194388 0.0118571i 8.52448e−5 0.000519970i
\(521\) 3.54843 32.6272i 0.155459 1.42943i −0.613281 0.789865i \(-0.710151\pi\)
0.768740 0.639561i \(-0.220884\pi\)
\(522\) −47.2376 + 6.53472i −2.06754 + 0.286017i
\(523\) −10.6077 + 38.2056i −0.463844 + 1.67061i 0.248380 + 0.968663i \(0.420102\pi\)
−0.712224 + 0.701952i \(0.752312\pi\)
\(524\) 0.710058 13.0963i 0.0310190 0.572112i
\(525\) −13.1723 + 45.2381i −0.574886 + 1.97435i
\(526\) −7.49615 + 12.4587i −0.326848 + 0.543225i
\(527\) −4.94402 + 5.82055i −0.215365 + 0.253547i
\(528\) −18.4827 + 21.2155i −0.804355 + 0.923287i
\(529\) 11.0388 5.10708i 0.479946 0.222047i
\(530\) 41.9575 1.82252
\(531\) 22.2070 + 6.15233i 0.963700 + 0.266988i
\(532\) 17.8679 0.774672
\(533\) −1.06173 + 0.491211i −0.0459888 + 0.0212767i
\(534\) −26.9818 + 30.9713i −1.16762 + 1.34026i
\(535\) −31.6953 + 37.3146i −1.37031 + 1.61325i
\(536\) 0.0570973 0.0948964i 0.00246623 0.00409890i
\(537\) −2.24355 + 7.70509i −0.0968161 + 0.332499i
\(538\) 1.62938 30.0522i 0.0702476 1.29564i
\(539\) 7.97631 28.7281i 0.343564 1.23741i
\(540\) 9.18733 35.3590i 0.395360 1.52161i
\(541\) −0.569957 + 5.24067i −0.0245044 + 0.225314i 0.975482 + 0.220080i \(0.0706317\pi\)
−0.999986 + 0.00523449i \(0.998334\pi\)
\(542\) −3.82932 + 23.3578i −0.164483 + 1.00330i
\(543\) −1.26573 8.37594i −0.0543178 0.359446i
\(544\) 10.7718 + 14.1701i 0.461838 + 0.607537i
\(545\) −19.4689 48.8632i −0.833956 2.09307i
\(546\) 0.521669 + 1.61477i 0.0223254 + 0.0691059i
\(547\) −3.08574 18.8222i −0.131937 0.804777i −0.967029 0.254667i \(-0.918034\pi\)
0.835092 0.550110i \(-0.185414\pi\)
\(548\) 34.6045 1.87620i 1.47823 0.0801473i
\(549\) −9.71844 + 6.24002i −0.414773 + 0.266318i
\(550\) 42.7881 40.5310i 1.82449 1.72825i
\(551\) 5.94779 + 17.6524i 0.253384 + 0.752018i
\(552\) 0.195953 + 0.190326i 0.00834033 + 0.00810081i
\(553\) −15.0253 54.1164i −0.638943 2.30126i
\(554\) 7.80467 1.71794i 0.331589 0.0729882i
\(555\) 13.6539 + 20.6908i 0.579575 + 0.878277i
\(556\) 7.46192 + 14.0747i 0.316456 + 0.596899i
\(557\) −13.4183 7.11395i −0.568553 0.301428i 0.159223 0.987243i \(-0.449101\pi\)
−0.727776 + 0.685815i \(0.759446\pi\)
\(558\) 20.2996 + 3.85200i 0.859351 + 0.163068i
\(559\) −0.731743 0.693144i −0.0309494 0.0293169i
\(560\) −22.0259 + 47.6082i −0.930764 + 2.01181i
\(561\) 10.6743 + 11.5550i 0.450670 + 0.487854i
\(562\) 29.0503 30.6680i 1.22541 1.29365i
\(563\) 11.3702 + 16.7698i 0.479198 + 0.706764i 0.988058 0.154085i \(-0.0492431\pi\)
−0.508860 + 0.860850i \(0.669933\pi\)
\(564\) 14.4328 + 17.4291i 0.607733 + 0.733899i
\(565\) −18.6640 + 9.89505i −0.785202 + 0.416288i
\(566\) −2.54806 1.72763i −0.107103 0.0726175i
\(567\) 7.45052 + 33.1988i 0.312893 + 1.39422i
\(568\) −0.134092 + 0.0372304i −0.00562637 + 0.00156215i
\(569\) −12.0120 + 30.1478i −0.503569 + 1.26386i 0.429142 + 0.903237i \(0.358816\pi\)
−0.932711 + 0.360625i \(0.882563\pi\)
\(570\) −28.3835 1.89545i −1.18885 0.0793918i
\(571\) 29.2914 + 30.9226i 1.22581 + 1.29407i 0.942169 + 0.335138i \(0.108783\pi\)
0.283639 + 0.958931i \(0.408458\pi\)
\(572\) 0.228910 1.03995i 0.00957120 0.0434824i
\(573\) −9.00627 3.16062i −0.376243 0.132037i
\(574\) −67.5872 + 11.0804i −2.82103 + 0.462485i
\(575\) 27.6231 + 32.5204i 1.15196 + 1.35619i
\(576\) 9.56345 22.3581i 0.398477 0.931587i
\(577\) 13.6767 10.3968i 0.569370 0.432824i −0.280471 0.959862i \(-0.590491\pi\)
0.849841 + 0.527039i \(0.176698\pi\)
\(578\) −20.7112 + 12.4615i −0.861474 + 0.518332i
\(579\) −13.8025 8.54175i −0.573611 0.354983i
\(580\) 55.4607 + 6.03171i 2.30288 + 0.250453i
\(581\) 12.9242 + 9.82475i 0.536187 + 0.407599i
\(582\) 22.0461 28.2600i 0.913842 1.17141i
\(583\) 24.4847 + 1.32752i 1.01405 + 0.0549804i
\(584\) 0.00249436 + 0.0229353i 0.000103217 + 0.000949069i
\(585\) −0.329779 1.31455i −0.0136347 0.0543501i
\(586\) −25.7881 21.9046i −1.06530 0.904870i
\(587\) 12.8744 + 4.33791i 0.531385 + 0.179045i 0.572188 0.820123i \(-0.306095\pi\)
−0.0408025 + 0.999167i \(0.512991\pi\)
\(588\) 1.05879 + 25.4066i 0.0436636 + 1.04775i
\(589\) 8.07085i 0.332553i
\(590\) −46.7391 26.5172i −1.92422 1.09170i
\(591\) −19.9303 8.23147i −0.819823 0.338597i
\(592\) 6.83747 + 14.7790i 0.281018 + 0.607411i
\(593\) 0.853591 2.53337i 0.0350528 0.104033i −0.928698 0.370837i \(-0.879071\pi\)
0.963751 + 0.266804i \(0.0859675\pi\)
\(594\) 12.9175 40.5527i 0.530011 1.66390i
\(595\) 25.1291 + 15.1197i 1.03019 + 0.619847i
\(596\) −5.53951 + 0.602458i −0.226907 + 0.0246777i
\(597\) 14.9033 + 7.12278i 0.609951 + 0.291516i
\(598\) 1.48073 + 0.411122i 0.0605514 + 0.0168120i
\(599\) 5.09833 6.70674i 0.208312 0.274030i −0.680057 0.733159i \(-0.738045\pi\)
0.888370 + 0.459129i \(0.151838\pi\)
\(600\) −0.158921 + 0.290899i −0.00648791 + 0.0118759i
\(601\) −19.7250 3.23375i −0.804600 0.131907i −0.254572 0.967054i \(-0.581935\pi\)
−0.550028 + 0.835146i \(0.685383\pi\)
\(602\) −30.4221 50.5619i −1.23991 2.06075i
\(603\) 1.66103 12.3811i 0.0676424 0.504198i
\(604\) −34.9057 + 13.9077i −1.42029 + 0.565897i
\(605\) 15.2154 12.9241i 0.618595 0.525440i
\(606\) −6.06652 1.41517i −0.246436 0.0574875i
\(607\) −1.99647 36.8228i −0.0810344 1.49459i −0.702800 0.711388i \(-0.748067\pi\)
0.621765 0.783204i \(-0.286416\pi\)
\(608\) −18.3712 4.04380i −0.745049 0.163998i
\(609\) −48.5037 + 18.6257i −1.96547 + 0.754751i
\(610\) 25.5231 8.59974i 1.03340 0.348193i
\(611\) 0.779865 + 0.310726i 0.0315499 + 0.0125706i
\(612\) −11.6927 6.57917i −0.472650 0.265947i
\(613\) −3.57060 16.2214i −0.144215 0.655176i −0.992148 0.125072i \(-0.960084\pi\)
0.847933 0.530104i \(-0.177847\pi\)
\(614\) 23.0167 33.9471i 0.928879 1.36999i
\(615\) 54.4490 5.23305i 2.19559 0.211017i
\(616\) 0.192565 0.363216i 0.00775866 0.0146344i
\(617\) −17.3286 + 11.7491i −0.697624 + 0.473001i −0.857731 0.514099i \(-0.828126\pi\)
0.160107 + 0.987100i \(0.448816\pi\)
\(618\) 22.6632 + 50.6394i 0.911649 + 2.03702i
\(619\) −35.5070 16.4273i −1.42715 0.660269i −0.454117 0.890942i \(-0.650045\pi\)
−0.973031 + 0.230673i \(0.925907\pi\)
\(620\) −21.9374 10.1493i −0.881029 0.407607i
\(621\) 28.8095 + 10.9276i 1.15608 + 0.438509i
\(622\) 5.73180 3.88626i 0.229824 0.155825i
\(623\) −20.9630 + 39.5403i −0.839863 + 1.58415i
\(624\) −0.0851700 0.886178i −0.00340953 0.0354755i
\(625\) 5.16376 7.61598i 0.206551 0.304639i
\(626\) 3.58496 + 16.2867i 0.143284 + 0.650946i
\(627\) −16.5035 2.00416i −0.659086 0.0800383i
\(628\) −7.49564 2.98654i −0.299109 0.119176i
\(629\) 8.62741 2.90691i 0.343997 0.115906i
\(630\) 1.98593 79.3205i 0.0791212 3.16021i
\(631\) 10.0048 + 2.20223i 0.398287 + 0.0876695i 0.409597 0.912266i \(-0.365669\pi\)
−0.0113104 + 0.999936i \(0.503600\pi\)
\(632\) −0.0213916 0.394546i −0.000850914 0.0156942i
\(633\) 7.00900 30.0460i 0.278583 1.19422i
\(634\) −27.4737 + 23.3364i −1.09112 + 0.926806i
\(635\) −2.69529 + 1.07390i −0.106959 + 0.0426165i
\(636\) −20.2195 + 5.34227i −0.801754 + 0.211835i
\(637\) 0.486341 + 0.808306i 0.0192696 + 0.0320262i
\(638\) 64.1354 + 10.5145i 2.53914 + 0.416272i
\(639\) −12.2143 + 9.85948i −0.483192 + 0.390035i
\(640\) −0.449668 + 0.591527i −0.0177747 + 0.0233822i
\(641\) 15.2017 + 4.22074i 0.600432 + 0.166709i 0.554427 0.832232i \(-0.312937\pi\)
0.0460045 + 0.998941i \(0.485351\pi\)
\(642\) 20.9766 43.8901i 0.827879 1.73221i
\(643\) −4.41507 + 0.480168i −0.174113 + 0.0189360i −0.194760 0.980851i \(-0.562393\pi\)
0.0206470 + 0.999787i \(0.493427\pi\)
\(644\) 38.6726 + 23.2686i 1.52392 + 0.916910i
\(645\) 21.5522 + 41.9111i 0.848619 + 1.65025i
\(646\) −3.33572 + 9.90005i −0.131242 + 0.389512i
\(647\) 1.46807 + 3.17317i 0.0577156 + 0.124750i 0.934287 0.356521i \(-0.116037\pi\)
−0.876572 + 0.481271i \(0.840175\pi\)
\(648\) 0.000981998 0.239369i 3.85765e−5 0.00940331i
\(649\) −26.4361 16.9532i −1.03771 0.665471i
\(650\) 1.86477i 0.0731421i
\(651\) 22.4922 0.937334i 0.881539 0.0367370i
\(652\) 40.0794 + 13.5043i 1.56963 + 0.528870i
\(653\) 25.4021 + 21.5767i 0.994061 + 0.844363i 0.987817 0.155618i \(-0.0497368\pi\)
0.00624336 + 0.999981i \(0.498013\pi\)
\(654\) 31.1044 + 41.9980i 1.21628 + 1.64225i
\(655\) 2.45971 + 22.6167i 0.0961089 + 0.883707i
\(656\) 35.8786 + 1.94528i 1.40082 + 0.0759504i
\(657\) 1.28537 + 2.26264i 0.0501471 + 0.0882739i
\(658\) 39.1263 + 29.7430i 1.52530 + 1.15950i
\(659\) −37.4233 4.07002i −1.45780 0.158546i −0.655379 0.755300i \(-0.727491\pi\)
−0.802424 + 0.596754i \(0.796457\pi\)
\(660\) −26.2012 + 42.3380i −1.01988 + 1.64800i
\(661\) −12.2960 + 7.39827i −0.478260 + 0.287759i −0.734200 0.678933i \(-0.762443\pi\)
0.255940 + 0.966693i \(0.417615\pi\)
\(662\) −23.8127 + 18.1019i −0.925505 + 0.703551i
\(663\) −0.497684 0.00622920i −0.0193284 0.000241922i
\(664\) 0.0739408 + 0.0870499i 0.00286946 + 0.00337819i
\(665\) −30.5853 + 5.01420i −1.18605 + 0.194442i
\(666\) −18.3679 16.4107i −0.711742 0.635902i
\(667\) −10.1147 + 45.9518i −0.391644 + 1.77926i
\(668\) 20.0717 + 21.1895i 0.776598 + 0.819845i
\(669\) −0.813102 + 12.1758i −0.0314363 + 0.470744i
\(670\) −10.7827 + 27.0625i −0.416571 + 1.04551i
\(671\) 15.1664 4.21092i 0.585491 0.162561i
\(672\) 9.13585 51.6672i 0.352423 1.99311i
\(673\) −32.0377 21.7221i −1.23496 0.837327i −0.243782 0.969830i \(-0.578388\pi\)
−0.991183 + 0.132504i \(0.957698\pi\)
\(674\) 18.5777 9.84928i 0.715587 0.379380i
\(675\) −3.42427 + 37.2322i −0.131800 + 1.43307i
\(676\) −14.6688 21.6349i −0.564185 0.832111i
\(677\) 33.1982 35.0469i 1.27591 1.34696i 0.366859 0.930276i \(-0.380433\pi\)
0.909051 0.416686i \(-0.136808\pi\)
\(678\) 15.4177 14.2426i 0.592115 0.546985i
\(679\) 16.3971 35.4418i 0.629264 1.36013i
\(680\) 0.149790 + 0.141889i 0.00574418 + 0.00544118i
\(681\) 23.8847 4.94484i 0.915262 0.189487i
\(682\) −24.8791 13.1900i −0.952669 0.505073i
\(683\) 16.6118 + 31.3332i 0.635633 + 1.19893i 0.966843 + 0.255373i \(0.0821983\pi\)
−0.331210 + 0.943557i \(0.607457\pi\)
\(684\) 13.9194 2.70052i 0.532223 0.103257i
\(685\) −58.7075 + 12.9225i −2.24310 + 0.493743i
\(686\) 0.592037 + 2.13233i 0.0226041 + 0.0814126i
\(687\) 17.7348 18.2592i 0.676625 0.696630i
\(688\) 9.88474 + 29.3369i 0.376852 + 1.11846i
\(689\) −0.563250 + 0.533539i −0.0214581 + 0.0203262i
\(690\) −58.9638 41.0650i −2.24471 1.56332i
\(691\) −42.6335 + 2.31152i −1.62185 + 0.0879343i −0.842517 0.538671i \(-0.818927\pi\)
−0.779337 + 0.626605i \(0.784444\pi\)
\(692\) 2.65173 + 16.1748i 0.100804 + 0.614874i
\(693\) 3.66858 46.2254i 0.139358 1.75596i
\(694\) −18.5555 46.5708i −0.704357 1.76780i
\(695\) −16.7226 21.9982i −0.634325 0.834440i
\(696\) −0.361427 + 0.0546171i −0.0136999 + 0.00207026i
\(697\) 3.24992 19.8236i 0.123099 0.750873i
\(698\) −1.69341 + 15.5707i −0.0640965 + 0.589358i
\(699\) 5.34944 3.12814i 0.202334 0.118317i
\(700\) −14.6517 + 52.7707i −0.553783 + 1.99455i
\(701\) 1.13229 20.8839i 0.0427661 0.788775i −0.895965 0.444125i \(-0.853515\pi\)
0.938731 0.344650i \(-0.112002\pi\)
\(702\) 0.650444 + 1.17910i 0.0245494 + 0.0445021i
\(703\) −4.96030 + 8.24408i −0.187081 + 0.310931i
\(704\) −21.4554 + 25.2592i −0.808630 + 0.951992i
\(705\) −29.5964 25.7840i −1.11467 0.971081i
\(706\) −12.9701 + 6.00062i −0.488137 + 0.225836i
\(707\) −6.78712 −0.255256
\(708\) 25.9001 + 6.82764i 0.973385 + 0.256599i
\(709\) 41.6858 1.56554 0.782771 0.622310i \(-0.213806\pi\)
0.782771 + 0.622310i \(0.213806\pi\)
\(710\) 33.2225 15.3704i 1.24682 0.576839i
\(711\) −19.8841 39.8868i −0.745712 1.49587i
\(712\) −0.203831 + 0.239969i −0.00763890 + 0.00899321i
\(713\) 10.5103 17.4682i 0.393614 0.654191i
\(714\) −27.9773 8.14635i −1.04702 0.304869i
\(715\) −0.0999984 + 1.84436i −0.00373973 + 0.0689752i
\(716\) −2.49553 + 8.98807i −0.0932622 + 0.335900i
\(717\) 7.50735 + 12.8383i 0.280367 + 0.479457i
\(718\) 0.439618 4.04222i 0.0164064 0.150854i
\(719\) −4.09761 + 24.9943i −0.152815 + 0.932130i 0.793426 + 0.608667i \(0.208295\pi\)
−0.946241 + 0.323463i \(0.895153\pi\)
\(720\) −9.96319 + 40.4167i −0.371306 + 1.50624i
\(721\) 36.5807 + 48.1211i 1.36234 + 1.79212i
\(722\) 10.0020 + 25.1032i 0.372237 + 0.934246i
\(723\) −34.5792 + 11.1712i −1.28601 + 0.415460i
\(724\) −1.59298 9.71673i −0.0592025 0.361120i
\(725\) −57.0115 + 3.09107i −2.11735 + 0.114800i
\(726\) −11.3361 + 16.2771i −0.420722 + 0.604101i
\(727\) −18.8065 + 17.8145i −0.697496 + 0.660703i −0.951905 0.306394i \(-0.900878\pi\)
0.254409 + 0.967097i \(0.418119\pi\)
\(728\) 0.00415326 + 0.0123264i 0.000153930 + 0.000456848i
\(729\) 10.8217 + 24.7364i 0.400804 + 0.916164i
\(730\) −1.62349 5.84727i −0.0600879 0.216417i
\(731\) 16.9028 3.72060i 0.625174 0.137611i
\(732\) −11.2047 + 7.39400i −0.414138 + 0.273290i
\(733\) 22.7780 + 42.9639i 0.841326 + 1.58691i 0.809280 + 0.587423i \(0.199857\pi\)
0.0320457 + 0.999486i \(0.489798\pi\)
\(734\) −44.9734 23.8434i −1.66000 0.880076i
\(735\) −8.94211 43.1924i −0.329835 1.59318i
\(736\) −34.4958 32.6762i −1.27153 1.20446i
\(737\) −7.14858 + 15.4514i −0.263321 + 0.569160i
\(738\) −50.9771 + 18.8468i −1.87649 + 0.693761i
\(739\) 12.9834 13.7064i 0.477601 0.504197i −0.442020 0.897005i \(-0.645738\pi\)
0.919620 + 0.392809i \(0.128496\pi\)
\(740\) 16.1706 + 23.8498i 0.594442 + 0.876736i
\(741\) 0.405132 0.335484i 0.0148829 0.0123243i
\(742\) −40.1301 + 21.2756i −1.47322 + 0.781053i
\(743\) 21.0467 + 14.2700i 0.772128 + 0.523516i 0.882465 0.470378i \(-0.155883\pi\)
−0.110337 + 0.993894i \(0.535193\pi\)
\(744\) 0.155956 + 0.0275764i 0.00571764 + 0.00101100i
\(745\) 9.31316 2.58579i 0.341208 0.0947359i
\(746\) −17.2970 + 43.4123i −0.633289 + 1.58944i
\(747\) 11.5531 + 5.70032i 0.422707 + 0.208564i
\(748\) 12.5746 + 13.2748i 0.459772 + 0.485376i
\(749\) 11.3935 51.7614i 0.416311 1.89132i
\(750\) 8.80985 25.1039i 0.321690 0.916665i
\(751\) 48.8823 8.01385i 1.78374 0.292429i 0.822627 0.568582i \(-0.192508\pi\)
0.961114 + 0.276152i \(0.0890595\pi\)
\(752\) −16.6923 19.6517i −0.608707 0.716626i
\(753\) 0.00767080 0.612860i 0.000279540 0.0223339i
\(754\) −1.63703 + 1.24444i −0.0596170 + 0.0453197i
\(755\) 55.8468 33.6019i 2.03247 1.22290i
\(756\) 9.14251 + 38.4777i 0.332510 + 1.39942i
\(757\) −20.9619 2.27974i −0.761873 0.0828587i −0.281070 0.959687i \(-0.590689\pi\)
−0.480803 + 0.876829i \(0.659655\pi\)
\(758\) −5.59231 4.25116i −0.203122 0.154409i
\(759\) −33.1096 25.8295i −1.20180 0.937550i
\(760\) −0.217728 0.0118049i −0.00789782 0.000428207i
\(761\) −2.74068 25.2001i −0.0993495 0.913504i −0.932674 0.360720i \(-0.882531\pi\)
0.833325 0.552784i \(-0.186434\pi\)
\(762\) 2.31661 1.71572i 0.0839218 0.0621539i
\(763\) 43.3983 + 36.8629i 1.57112 + 1.33453i
\(764\) −10.5137 3.54249i −0.380374 0.128163i
\(765\) 21.8612 + 7.98056i 0.790395 + 0.288538i
\(766\) 48.3267i 1.74611i
\(767\) 0.964638 0.238368i 0.0348311 0.00860698i
\(768\) −10.4371 + 25.2707i −0.376617 + 0.911879i
\(769\) −0.409490 0.885098i −0.0147666 0.0319174i 0.900052 0.435783i \(-0.143528\pi\)
−0.914818 + 0.403865i \(0.867666\pi\)
\(770\) −34.5283 + 102.476i −1.24431 + 3.69299i
\(771\) 15.4508 7.94538i 0.556447 0.286146i
\(772\) −16.1665 9.72707i −0.581846 0.350085i
\(773\) 25.4303