Properties

Label 280.2.ba.b.59.2
Level $280$
Weight $2$
Character 280.59
Analytic conductor $2.236$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 59.2
Character \(\chi\) \(=\) 280.59
Dual form 280.2.ba.b.19.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.39533 - 0.230335i) q^{2} +(-0.929162 + 1.60936i) q^{3} +(1.89389 + 0.642786i) q^{4} +(2.18875 + 0.457553i) q^{5} +(1.66718 - 2.03156i) q^{6} +(1.10610 + 2.40345i) q^{7} +(-2.49455 - 1.33313i) q^{8} +(-0.226682 - 0.392626i) q^{9} +O(q^{10})\) \(q+(-1.39533 - 0.230335i) q^{2} +(-0.929162 + 1.60936i) q^{3} +(1.89389 + 0.642786i) q^{4} +(2.18875 + 0.457553i) q^{5} +(1.66718 - 2.03156i) q^{6} +(1.10610 + 2.40345i) q^{7} +(-2.49455 - 1.33313i) q^{8} +(-0.226682 - 0.392626i) q^{9} +(-2.94864 - 1.14258i) q^{10} +(1.61069 - 2.78980i) q^{11} +(-2.79420 + 2.45069i) q^{12} -0.668981i q^{13} +(-0.989775 - 3.60837i) q^{14} +(-2.77007 + 3.09734i) q^{15} +(3.17365 + 2.43473i) q^{16} +(1.62295 - 2.81103i) q^{17} +(0.225862 + 0.600055i) q^{18} +(-5.77054 + 3.33162i) q^{19} +(3.85116 + 2.27346i) q^{20} +(-4.89574 - 0.453085i) q^{21} +(-2.89004 + 3.52170i) q^{22} +(4.41240 + 7.64251i) q^{23} +(4.46331 - 2.77592i) q^{24} +(4.58129 + 2.00294i) q^{25} +(-0.154089 + 0.933449i) q^{26} -4.73247 q^{27} +(0.549930 + 5.26285i) q^{28} +3.17360i q^{29} +(4.57859 - 3.68377i) q^{30} +(-2.58684 + 4.48053i) q^{31} +(-3.86749 - 4.12826i) q^{32} +(2.99319 + 5.18435i) q^{33} +(-2.91203 + 3.54850i) q^{34} +(1.32127 + 5.76665i) q^{35} +(-0.176938 - 0.889299i) q^{36} +(-1.15890 - 2.00727i) q^{37} +(8.81919 - 3.31956i) q^{38} +(1.07663 + 0.621591i) q^{39} +(-4.84998 - 4.05928i) q^{40} -9.34903i q^{41} +(6.72681 + 1.75986i) q^{42} -6.84531i q^{43} +(4.84372 - 4.24825i) q^{44} +(-0.316505 - 0.963080i) q^{45} +(-4.39643 - 11.6802i) q^{46} +(3.12812 - 1.80602i) q^{47} +(-6.86719 + 2.84528i) q^{48} +(-4.55310 + 5.31689i) q^{49} +(-5.93106 - 3.85000i) q^{50} +(3.01597 + 5.22381i) q^{51} +(0.430011 - 1.26698i) q^{52} +(0.0130049 - 0.0225252i) q^{53} +(6.60336 + 1.09005i) q^{54} +(4.80189 - 5.36921i) q^{55} +(0.444882 - 7.47008i) q^{56} -12.3825i q^{57} +(0.730989 - 4.42822i) q^{58} +(0.0160236 + 0.00925120i) q^{59} +(-7.23714 + 4.08547i) q^{60} +(0.897835 + 1.55510i) q^{61} +(4.64151 - 5.65598i) q^{62} +(0.692921 - 0.979101i) q^{63} +(4.44555 + 6.65110i) q^{64} +(0.306094 - 1.46423i) q^{65} +(-2.98235 - 7.92332i) q^{66} +(-4.14522 - 2.39324i) q^{67} +(4.88059 - 4.28059i) q^{68} -16.3993 q^{69} +(-0.515352 - 8.35071i) q^{70} -8.13591i q^{71} +(0.0420508 + 1.28162i) q^{72} +(-6.30342 + 10.9178i) q^{73} +(1.15470 + 3.06774i) q^{74} +(-7.48021 + 5.51186i) q^{75} +(-13.0703 + 2.60051i) q^{76} +(8.48672 + 0.785418i) q^{77} +(-1.35908 - 1.11531i) q^{78} +(13.5306 - 7.81192i) q^{79} +(5.83233 + 6.78115i) q^{80} +(5.07728 - 8.79410i) q^{81} +(-2.15340 + 13.0450i) q^{82} -6.60312 q^{83} +(-8.98077 - 4.00500i) q^{84} +(4.83844 - 5.41008i) q^{85} +(-1.57671 + 9.55146i) q^{86} +(-5.10745 - 2.94879i) q^{87} +(-7.73711 + 4.81204i) q^{88} +(-1.31681 + 0.760263i) q^{89} +(0.219798 + 1.41672i) q^{90} +(1.60786 - 0.739958i) q^{91} +(3.44412 + 17.3103i) q^{92} +(-4.80718 - 8.32628i) q^{93} +(-4.78076 + 1.79948i) q^{94} +(-14.1547 + 4.65177i) q^{95} +(10.2374 - 2.38835i) q^{96} +12.1700 q^{97} +(7.57774 - 6.37008i) q^{98} -1.46046 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 6q^{4} - 52q^{9} + O(q^{10}) \) \( 80q + 6q^{4} - 52q^{9} - 12q^{10} - 6q^{14} + 10q^{16} - 48q^{19} + 12q^{24} - 22q^{25} + 54q^{26} - 20q^{30} - 22q^{35} + 28q^{36} + 12q^{40} + 38q^{44} + 14q^{46} + 16q^{49} - 40q^{50} + 20q^{51} + 60q^{54} - 104q^{56} - 60q^{59} - 42q^{60} - 60q^{64} - 12q^{65} + 84q^{66} - 22q^{70} + 34q^{74} - 6q^{75} - 96q^{80} - 100q^{84} - 8q^{86} - 36q^{89} + 72q^{91} - 66q^{94} + 96q^{96} + 104q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(-1\) \(-1\) \(-1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.39533 0.230335i −0.986647 0.162871i
\(3\) −0.929162 + 1.60936i −0.536452 + 0.929162i 0.462640 + 0.886546i \(0.346902\pi\)
−0.999092 + 0.0426153i \(0.986431\pi\)
\(4\) 1.89389 + 0.642786i 0.946946 + 0.321393i
\(5\) 2.18875 + 0.457553i 0.978841 + 0.204624i
\(6\) 1.66718 2.03156i 0.680622 0.829382i
\(7\) 1.10610 + 2.40345i 0.418066 + 0.908417i
\(8\) −2.49455 1.33313i −0.881956 0.471331i
\(9\) −0.226682 0.392626i −0.0755608 0.130875i
\(10\) −2.94864 1.14258i −0.932443 0.361317i
\(11\) 1.61069 2.78980i 0.485642 0.841157i −0.514222 0.857657i \(-0.671919\pi\)
0.999864 + 0.0165005i \(0.00525252\pi\)
\(12\) −2.79420 + 2.45069i −0.806617 + 0.707454i
\(13\) 0.668981i 0.185542i −0.995687 0.0927710i \(-0.970428\pi\)
0.995687 0.0927710i \(-0.0295724\pi\)
\(14\) −0.989775 3.60837i −0.264528 0.964378i
\(15\) −2.77007 + 3.09734i −0.715230 + 0.799730i
\(16\) 3.17365 + 2.43473i 0.793413 + 0.608683i
\(17\) 1.62295 2.81103i 0.393624 0.681776i −0.599301 0.800524i \(-0.704555\pi\)
0.992924 + 0.118748i \(0.0378880\pi\)
\(18\) 0.225862 + 0.600055i 0.0532361 + 0.141434i
\(19\) −5.77054 + 3.33162i −1.32385 + 0.764326i −0.984341 0.176276i \(-0.943595\pi\)
−0.339511 + 0.940602i \(0.610262\pi\)
\(20\) 3.85116 + 2.27346i 0.861145 + 0.508360i
\(21\) −4.89574 0.453085i −1.06834 0.0988712i
\(22\) −2.89004 + 3.52170i −0.616158 + 0.750828i
\(23\) 4.41240 + 7.64251i 0.920050 + 1.59357i 0.799335 + 0.600886i \(0.205185\pi\)
0.120715 + 0.992687i \(0.461481\pi\)
\(24\) 4.46331 2.77592i 0.911070 0.566633i
\(25\) 4.58129 + 2.00294i 0.916258 + 0.400589i
\(26\) −0.154089 + 0.933449i −0.0302194 + 0.183064i
\(27\) −4.73247 −0.910764
\(28\) 0.549930 + 5.26285i 0.103927 + 0.994585i
\(29\) 3.17360i 0.589322i 0.955602 + 0.294661i \(0.0952068\pi\)
−0.955602 + 0.294661i \(0.904793\pi\)
\(30\) 4.57859 3.68377i 0.835932 0.672561i
\(31\) −2.58684 + 4.48053i −0.464609 + 0.804727i −0.999184 0.0403943i \(-0.987139\pi\)
0.534574 + 0.845121i \(0.320472\pi\)
\(32\) −3.86749 4.12826i −0.683682 0.729780i
\(33\) 2.99319 + 5.18435i 0.521047 + 0.902480i
\(34\) −2.91203 + 3.54850i −0.499409 + 0.608562i
\(35\) 1.32127 + 5.76665i 0.223336 + 0.974742i
\(36\) −0.176938 0.889299i −0.0294897 0.148216i
\(37\) −1.15890 2.00727i −0.190522 0.329994i 0.754901 0.655838i \(-0.227685\pi\)
−0.945423 + 0.325845i \(0.894351\pi\)
\(38\) 8.81919 3.31956i 1.43066 0.538503i
\(39\) 1.07663 + 0.621591i 0.172398 + 0.0995343i
\(40\) −4.84998 4.05928i −0.766849 0.641828i
\(41\) 9.34903i 1.46007i −0.683408 0.730036i \(-0.739503\pi\)
0.683408 0.730036i \(-0.260497\pi\)
\(42\) 6.72681 + 1.75986i 1.03797 + 0.271552i
\(43\) 6.84531i 1.04390i −0.852976 0.521950i \(-0.825205\pi\)
0.852976 0.521950i \(-0.174795\pi\)
\(44\) 4.84372 4.24825i 0.730218 0.640448i
\(45\) −0.316505 0.963080i −0.0471818 0.143568i
\(46\) −4.39643 11.6802i −0.648218 1.72214i
\(47\) 3.12812 1.80602i 0.456284 0.263436i −0.254197 0.967153i \(-0.581811\pi\)
0.710480 + 0.703717i \(0.248478\pi\)
\(48\) −6.86719 + 2.84528i −0.991193 + 0.410680i
\(49\) −4.55310 + 5.31689i −0.650442 + 0.759556i
\(50\) −5.93106 3.85000i −0.838779 0.544472i
\(51\) 3.01597 + 5.22381i 0.422320 + 0.731480i
\(52\) 0.430011 1.26698i 0.0596318 0.175698i
\(53\) 0.0130049 0.0225252i 0.00178637 0.00309408i −0.865131 0.501546i \(-0.832765\pi\)
0.866917 + 0.498452i \(0.166098\pi\)
\(54\) 6.60336 + 1.09005i 0.898603 + 0.148337i
\(55\) 4.80189 5.36921i 0.647487 0.723984i
\(56\) 0.444882 7.47008i 0.0594499 0.998231i
\(57\) 12.3825i 1.64010i
\(58\) 0.730989 4.42822i 0.0959836 0.581453i
\(59\) 0.0160236 + 0.00925120i 0.00208609 + 0.00120440i 0.501043 0.865423i \(-0.332950\pi\)
−0.498957 + 0.866627i \(0.666283\pi\)
\(60\) −7.23714 + 4.08547i −0.934311 + 0.527432i
\(61\) 0.897835 + 1.55510i 0.114956 + 0.199110i 0.917762 0.397130i \(-0.129994\pi\)
−0.802806 + 0.596240i \(0.796661\pi\)
\(62\) 4.64151 5.65598i 0.589473 0.718310i
\(63\) 0.692921 0.979101i 0.0872998 0.123355i
\(64\) 4.44555 + 6.65110i 0.555693 + 0.831387i
\(65\) 0.306094 1.46423i 0.0379663 0.181616i
\(66\) −2.98235 7.92332i −0.367102 0.975293i
\(67\) −4.14522 2.39324i −0.506419 0.292381i 0.224942 0.974372i \(-0.427781\pi\)
−0.731360 + 0.681991i \(0.761114\pi\)
\(68\) 4.88059 4.28059i 0.591858 0.519097i
\(69\) −16.3993 −1.97425
\(70\) −0.515352 8.35071i −0.0615963 0.998101i
\(71\) 8.13591i 0.965555i −0.875743 0.482778i \(-0.839628\pi\)
0.875743 0.482778i \(-0.160372\pi\)
\(72\) 0.0420508 + 1.28162i 0.00495574 + 0.151040i
\(73\) −6.30342 + 10.9178i −0.737760 + 1.27784i 0.215742 + 0.976450i \(0.430783\pi\)
−0.953502 + 0.301387i \(0.902550\pi\)
\(74\) 1.15470 + 3.06774i 0.134232 + 0.356618i
\(75\) −7.48021 + 5.51186i −0.863740 + 0.636455i
\(76\) −13.0703 + 2.60051i −1.49926 + 0.298299i
\(77\) 8.48672 + 0.785418i 0.967151 + 0.0895067i
\(78\) −1.35908 1.11531i −0.153885 0.126284i
\(79\) 13.5306 7.81192i 1.52232 0.878910i 0.522665 0.852538i \(-0.324938\pi\)
0.999652 0.0263718i \(-0.00839538\pi\)
\(80\) 5.83233 + 6.78115i 0.652074 + 0.758155i
\(81\) 5.07728 8.79410i 0.564142 0.977123i
\(82\) −2.15340 + 13.0450i −0.237804 + 1.44058i
\(83\) −6.60312 −0.724787 −0.362393 0.932025i \(-0.618040\pi\)
−0.362393 + 0.932025i \(0.618040\pi\)
\(84\) −8.98077 4.00500i −0.979882 0.436982i
\(85\) 4.83844 5.41008i 0.524802 0.586805i
\(86\) −1.57671 + 9.55146i −0.170021 + 1.02996i
\(87\) −5.10745 2.94879i −0.547576 0.316143i
\(88\) −7.73711 + 4.81204i −0.824779 + 0.512965i
\(89\) −1.31681 + 0.760263i −0.139582 + 0.0805877i −0.568165 0.822915i \(-0.692346\pi\)
0.428583 + 0.903503i \(0.359013\pi\)
\(90\) 0.219798 + 1.41672i 0.0231688 + 0.149335i
\(91\) 1.60786 0.739958i 0.168549 0.0775687i
\(92\) 3.44412 + 17.3103i 0.359075 + 1.80473i
\(93\) −4.80718 8.32628i −0.498481 0.863395i
\(94\) −4.78076 + 1.79948i −0.493097 + 0.185603i
\(95\) −14.1547 + 4.65177i −1.45224 + 0.477262i
\(96\) 10.2374 2.38835i 1.04485 0.243760i
\(97\) 12.1700 1.23568 0.617839 0.786305i \(-0.288008\pi\)
0.617839 + 0.786305i \(0.288008\pi\)
\(98\) 7.57774 6.37008i 0.765467 0.643475i
\(99\) −1.46046 −0.146782
\(100\) 7.38901 + 6.73814i 0.738901 + 0.673814i
\(101\) 7.06658 12.2397i 0.703151 1.21789i −0.264204 0.964467i \(-0.585109\pi\)
0.967355 0.253426i \(-0.0815574\pi\)
\(102\) −3.00505 7.98362i −0.297544 0.790496i
\(103\) 0.433570 0.250322i 0.0427209 0.0246649i −0.478487 0.878094i \(-0.658815\pi\)
0.521208 + 0.853429i \(0.325481\pi\)
\(104\) −0.891836 + 1.66881i −0.0874517 + 0.163640i
\(105\) −10.5083 3.23175i −1.02550 0.315387i
\(106\) −0.0233345 + 0.0284346i −0.00226645 + 0.00276181i
\(107\) 16.0652 9.27527i 1.55309 0.896674i 0.555197 0.831719i \(-0.312643\pi\)
0.997888 0.0649558i \(-0.0206907\pi\)
\(108\) −8.96279 3.04196i −0.862445 0.292713i
\(109\) 3.92950 + 2.26870i 0.376378 + 0.217302i 0.676241 0.736680i \(-0.263608\pi\)
−0.299863 + 0.953982i \(0.596941\pi\)
\(110\) −7.93694 + 6.38578i −0.756758 + 0.608860i
\(111\) 4.30722 0.408823
\(112\) −2.34138 + 10.3208i −0.221239 + 0.975220i
\(113\) 6.94668i 0.653489i −0.945113 0.326744i \(-0.894048\pi\)
0.945113 0.326744i \(-0.105952\pi\)
\(114\) −2.85211 + 17.2776i −0.267124 + 1.61820i
\(115\) 6.16081 + 18.7465i 0.574499 + 1.74812i
\(116\) −2.03994 + 6.01045i −0.189404 + 0.558056i
\(117\) −0.262659 + 0.151646i −0.0242828 + 0.0140197i
\(118\) −0.0202273 0.0165993i −0.00186207 0.00152809i
\(119\) 8.55131 + 0.791396i 0.783897 + 0.0725471i
\(120\) 11.0392 4.03361i 1.00774 0.368217i
\(121\) 0.311339 + 0.539255i 0.0283036 + 0.0490232i
\(122\) −0.894584 2.37667i −0.0809918 0.215174i
\(123\) 15.0459 + 8.68675i 1.35664 + 0.783258i
\(124\) −7.77921 + 6.82286i −0.698594 + 0.612711i
\(125\) 9.11086 + 6.48013i 0.814901 + 0.579601i
\(126\) −1.19237 + 1.20657i −0.106225 + 0.107489i
\(127\) −5.54642 −0.492166 −0.246083 0.969249i \(-0.579144\pi\)
−0.246083 + 0.969249i \(0.579144\pi\)
\(128\) −4.67103 10.3044i −0.412864 0.910793i
\(129\) 11.0165 + 6.36040i 0.969951 + 0.560002i
\(130\) −0.764367 + 1.97259i −0.0670394 + 0.173007i
\(131\) 1.39758 0.806895i 0.122107 0.0704987i −0.437702 0.899120i \(-0.644208\pi\)
0.559810 + 0.828621i \(0.310874\pi\)
\(132\) 2.33635 + 11.7426i 0.203353 + 1.02206i
\(133\) −14.3901 10.1841i −1.24778 0.883071i
\(134\) 5.23270 + 4.29415i 0.452036 + 0.370958i
\(135\) −10.3582 2.16536i −0.891493 0.186364i
\(136\) −7.79600 + 4.84866i −0.668501 + 0.415769i
\(137\) −7.25548 4.18895i −0.619877 0.357886i 0.156944 0.987607i \(-0.449836\pi\)
−0.776821 + 0.629721i \(0.783169\pi\)
\(138\) 22.8825 + 3.77734i 1.94789 + 0.321548i
\(139\) 10.1284i 0.859077i −0.903048 0.429539i \(-0.858676\pi\)
0.903048 0.429539i \(-0.141324\pi\)
\(140\) −1.20437 + 11.7707i −0.101788 + 0.994806i
\(141\) 6.71235i 0.565282i
\(142\) −1.87398 + 11.3523i −0.157261 + 0.952662i
\(143\) −1.86632 1.07752i −0.156070 0.0901070i
\(144\) 0.236527 1.79797i 0.0197105 0.149831i
\(145\) −1.45209 + 6.94623i −0.120590 + 0.576853i
\(146\) 11.3101 13.7821i 0.936031 1.14061i
\(147\) −4.32620 12.2678i −0.356819 1.01183i
\(148\) −0.904585 4.54648i −0.0743564 0.373719i
\(149\) −2.14985 + 1.24122i −0.176123 + 0.101684i −0.585470 0.810694i \(-0.699090\pi\)
0.409347 + 0.912379i \(0.365757\pi\)
\(150\) 11.7069 5.96792i 0.955867 0.487279i
\(151\) −2.38942 1.37954i −0.194449 0.112265i 0.399615 0.916683i \(-0.369144\pi\)
−0.594063 + 0.804418i \(0.702477\pi\)
\(152\) 18.8364 0.618034i 1.52783 0.0501292i
\(153\) −1.47158 −0.118970
\(154\) −11.6609 3.05070i −0.939659 0.245833i
\(155\) −7.71203 + 8.62317i −0.619445 + 0.692629i
\(156\) 1.63947 + 1.86927i 0.131262 + 0.149661i
\(157\) −4.55831 2.63174i −0.363793 0.210036i 0.306951 0.951725i \(-0.400691\pi\)
−0.670743 + 0.741690i \(0.734025\pi\)
\(158\) −20.6791 + 7.78364i −1.64514 + 0.619233i
\(159\) 0.0241674 + 0.0418591i 0.00191660 + 0.00331964i
\(160\) −6.57609 10.8053i −0.519886 0.854236i
\(161\) −13.4878 + 19.0583i −1.06299 + 1.50201i
\(162\) −9.11006 + 11.1012i −0.715754 + 0.872193i
\(163\) 3.72563 2.15099i 0.291814 0.168479i −0.346946 0.937885i \(-0.612781\pi\)
0.638760 + 0.769406i \(0.279448\pi\)
\(164\) 6.00942 17.7060i 0.469257 1.38261i
\(165\) 4.17923 + 12.7168i 0.325353 + 0.990003i
\(166\) 9.21353 + 1.52093i 0.715109 + 0.118047i
\(167\) 3.88102i 0.300322i 0.988662 + 0.150161i \(0.0479792\pi\)
−0.988662 + 0.150161i \(0.952021\pi\)
\(168\) 11.6086 + 7.65688i 0.895626 + 0.590741i
\(169\) 12.5525 0.965574
\(170\) −7.99735 + 6.43438i −0.613369 + 0.493495i
\(171\) 2.61616 + 1.51044i 0.200063 + 0.115506i
\(172\) 4.40006 12.9643i 0.335502 0.988516i
\(173\) −14.3964 + 8.31178i −1.09454 + 0.631933i −0.934781 0.355223i \(-0.884405\pi\)
−0.159758 + 0.987156i \(0.551071\pi\)
\(174\) 6.44737 + 5.29095i 0.488774 + 0.401106i
\(175\) 0.253390 + 13.2263i 0.0191545 + 0.999817i
\(176\) 11.9042 4.93226i 0.897313 0.371783i
\(177\) −0.0297769 + 0.0171917i −0.00223817 + 0.00129221i
\(178\) 2.01250 0.757510i 0.150844 0.0567777i
\(179\) 7.95928 13.7859i 0.594905 1.03040i −0.398656 0.917101i \(-0.630523\pi\)
0.993560 0.113304i \(-0.0361435\pi\)
\(180\) 0.0196275 2.02741i 0.00146294 0.151115i
\(181\) 7.50289 0.557685 0.278843 0.960337i \(-0.410049\pi\)
0.278843 + 0.960337i \(0.410049\pi\)
\(182\) −2.41393 + 0.662140i −0.178933 + 0.0490811i
\(183\) −3.33693 −0.246673
\(184\) −0.818525 24.9469i −0.0603425 1.83911i
\(185\) −1.61811 4.92369i −0.118966 0.361997i
\(186\) 4.78977 + 12.7252i 0.351203 + 0.933054i
\(187\) −5.22815 9.05542i −0.382320 0.662198i
\(188\) 7.08522 1.40970i 0.516742 0.102813i
\(189\) −5.23458 11.3742i −0.380759 0.827354i
\(190\) 20.8219 3.23044i 1.51058 0.234361i
\(191\) −12.2310 + 7.06156i −0.885002 + 0.510956i −0.872304 0.488963i \(-0.837375\pi\)
−0.0126977 + 0.999919i \(0.504042\pi\)
\(192\) −14.8346 + 0.974517i −1.07060 + 0.0703297i
\(193\) 7.10077 + 4.09963i 0.511124 + 0.295098i 0.733296 0.679910i \(-0.237981\pi\)
−0.222171 + 0.975008i \(0.571314\pi\)
\(194\) −16.9812 2.80318i −1.21918 0.201256i
\(195\) 2.07206 + 1.85313i 0.148383 + 0.132705i
\(196\) −12.0407 + 7.14295i −0.860049 + 0.510211i
\(197\) 6.63166 0.472486 0.236243 0.971694i \(-0.424084\pi\)
0.236243 + 0.971694i \(0.424084\pi\)
\(198\) 2.03783 + 0.336395i 0.144822 + 0.0239066i
\(199\) −1.78141 + 3.08549i −0.126281 + 0.218725i −0.922233 0.386635i \(-0.873637\pi\)
0.795952 + 0.605360i \(0.206971\pi\)
\(200\) −8.75807 11.1039i −0.619289 0.785163i
\(201\) 7.70315 4.44742i 0.543338 0.313697i
\(202\) −12.6794 + 15.4507i −0.892121 + 1.08711i
\(203\) −7.62757 + 3.51031i −0.535350 + 0.246375i
\(204\) 2.35413 + 11.8320i 0.164822 + 0.828402i
\(205\) 4.27768 20.4627i 0.298766 1.42918i
\(206\) −0.662631 + 0.249415i −0.0461677 + 0.0173776i
\(207\) 2.00043 3.46485i 0.139039 0.240823i
\(208\) 1.62879 2.12311i 0.112936 0.147211i
\(209\) 21.4649i 1.48476i
\(210\) 13.9181 + 6.92978i 0.960441 + 0.478200i
\(211\) −13.5590 −0.933438 −0.466719 0.884406i \(-0.654564\pi\)
−0.466719 + 0.884406i \(0.654564\pi\)
\(212\) 0.0391088 0.0343009i 0.00268601 0.00235580i
\(213\) 13.0936 + 7.55958i 0.897157 + 0.517974i
\(214\) −24.5527 + 9.24169i −1.67839 + 0.631749i
\(215\) 3.13209 14.9827i 0.213607 1.02181i
\(216\) 11.8054 + 6.30898i 0.803254 + 0.429272i
\(217\) −13.6300 1.26141i −0.925265 0.0856303i
\(218\) −4.96039 4.07068i −0.335960 0.275702i
\(219\) −11.7138 20.2889i −0.791545 1.37100i
\(220\) 12.5455 7.08212i 0.845819 0.477476i
\(221\) −1.88053 1.08572i −0.126498 0.0730337i
\(222\) −6.01000 0.992102i −0.403365 0.0665855i
\(223\) 17.5244i 1.17352i −0.809760 0.586761i \(-0.800403\pi\)
0.809760 0.586761i \(-0.199597\pi\)
\(224\) 5.64422 13.8616i 0.377120 0.926164i
\(225\) −0.252091 2.25276i −0.0168061 0.150184i
\(226\) −1.60006 + 9.69291i −0.106434 + 0.644763i
\(227\) −5.47563 + 9.48408i −0.363431 + 0.629480i −0.988523 0.151071i \(-0.951728\pi\)
0.625092 + 0.780551i \(0.285061\pi\)
\(228\) 7.95926 23.4510i 0.527115 1.55308i
\(229\) 9.35182 + 16.1978i 0.617985 + 1.07038i 0.989853 + 0.142096i \(0.0453842\pi\)
−0.371867 + 0.928286i \(0.621282\pi\)
\(230\) −4.27841 27.5766i −0.282110 1.81835i
\(231\) −9.14955 + 12.9284i −0.601996 + 0.850624i
\(232\) 4.23081 7.91670i 0.277766 0.519757i
\(233\) −3.70368 + 2.13832i −0.242636 + 0.140086i −0.616388 0.787443i \(-0.711405\pi\)
0.373752 + 0.927529i \(0.378071\pi\)
\(234\) 0.401425 0.151097i 0.0262420 0.00987753i
\(235\) 7.67305 2.52166i 0.500534 0.164495i
\(236\) 0.0244003 + 0.0278205i 0.00158833 + 0.00181096i
\(237\) 29.0342i 1.88597i
\(238\) −11.7496 3.07392i −0.761614 0.199253i
\(239\) 25.1064i 1.62400i −0.583658 0.812000i \(-0.698379\pi\)
0.583658 0.812000i \(-0.301621\pi\)
\(240\) −16.3324 + 3.08551i −1.05425 + 0.199169i
\(241\) 1.69808 + 0.980389i 0.109383 + 0.0631524i 0.553694 0.832721i \(-0.313218\pi\)
−0.444310 + 0.895873i \(0.646551\pi\)
\(242\) −0.310212 0.824152i −0.0199412 0.0529785i
\(243\) 2.33652 + 4.04696i 0.149888 + 0.259613i
\(244\) 0.700809 + 3.52230i 0.0448647 + 0.225492i
\(245\) −12.3984 + 9.55408i −0.792103 + 0.610388i
\(246\) −18.9931 15.5865i −1.21096 0.993758i
\(247\) 2.22879 + 3.86038i 0.141815 + 0.245630i
\(248\) 12.4261 7.72832i 0.789058 0.490749i
\(249\) 6.13537 10.6268i 0.388813 0.673444i
\(250\) −11.2201 11.1405i −0.709619 0.704585i
\(251\) 10.2716i 0.648336i −0.945999 0.324168i \(-0.894916\pi\)
0.945999 0.324168i \(-0.105084\pi\)
\(252\) 1.94167 1.40891i 0.122314 0.0887531i
\(253\) 28.4281 1.78726
\(254\) 7.73909 + 1.27753i 0.485594 + 0.0801596i
\(255\) 4.21104 + 12.8136i 0.263706 + 0.802419i
\(256\) 4.14415 + 15.4540i 0.259010 + 0.965875i
\(257\) −4.42809 7.66968i −0.276217 0.478422i 0.694225 0.719759i \(-0.255747\pi\)
−0.970441 + 0.241337i \(0.922414\pi\)
\(258\) −13.9067 11.4123i −0.865792 0.710501i
\(259\) 3.54252 5.00559i 0.220121 0.311032i
\(260\) 1.52090 2.57635i 0.0943221 0.159778i
\(261\) 1.24604 0.719399i 0.0771277 0.0445297i
\(262\) −2.13595 + 0.803973i −0.131959 + 0.0496696i
\(263\) 6.21178 10.7591i 0.383035 0.663436i −0.608459 0.793585i \(-0.708212\pi\)
0.991494 + 0.130149i \(0.0415455\pi\)
\(264\) −0.555253 16.9229i −0.0341734 1.04153i
\(265\) 0.0387711 0.0433517i 0.00238169 0.00266307i
\(266\) 17.7333 + 17.5247i 1.08730 + 1.07451i
\(267\) 2.82563i 0.172926i
\(268\) −6.31225 7.19703i −0.385582 0.439628i
\(269\) −13.6032 + 23.5615i −0.829403 + 1.43657i 0.0691035 + 0.997609i \(0.477986\pi\)
−0.898507 + 0.438959i \(0.855347\pi\)
\(270\) 13.9544 + 5.40724i 0.849236 + 0.329074i
\(271\) −5.19784 9.00292i −0.315746 0.546889i 0.663850 0.747866i \(-0.268922\pi\)
−0.979596 + 0.200978i \(0.935588\pi\)
\(272\) 11.9948 4.96980i 0.727292 0.301338i
\(273\) −0.303105 + 3.27516i −0.0183448 + 0.198221i
\(274\) 9.15892 + 7.51616i 0.553311 + 0.454068i
\(275\) 12.9669 9.55476i 0.781931 0.576174i
\(276\) −31.0586 10.5413i −1.86951 0.634509i
\(277\) 10.2142 17.6915i 0.613711 1.06298i −0.376898 0.926255i \(-0.623009\pi\)
0.990609 0.136724i \(-0.0436574\pi\)
\(278\) −2.33291 + 14.1324i −0.139919 + 0.847606i
\(279\) 2.34556 0.140425
\(280\) 4.39170 16.1466i 0.262454 0.964944i
\(281\) −31.1658 −1.85919 −0.929597 0.368578i \(-0.879845\pi\)
−0.929597 + 0.368578i \(0.879845\pi\)
\(282\) 1.54609 9.36594i 0.0920681 0.557734i
\(283\) 7.09232 12.2843i 0.421594 0.730223i −0.574501 0.818504i \(-0.694804\pi\)
0.996096 + 0.0882807i \(0.0281373\pi\)
\(284\) 5.22965 15.4085i 0.310322 0.914329i
\(285\) 5.66563 27.1021i 0.335603 1.60539i
\(286\) 2.35595 + 1.93338i 0.139310 + 0.114323i
\(287\) 22.4699 10.3409i 1.32635 0.610406i
\(288\) −0.744167 + 2.45428i −0.0438505 + 0.144620i
\(289\) 3.23206 + 5.59809i 0.190121 + 0.329299i
\(290\) 3.62610 9.35781i 0.212932 0.549510i
\(291\) −11.3079 + 19.5859i −0.662881 + 1.14814i
\(292\) −18.9558 + 16.6255i −1.10931 + 0.972932i
\(293\) 13.3400i 0.779333i 0.920956 + 0.389666i \(0.127410\pi\)
−0.920956 + 0.389666i \(0.872590\pi\)
\(294\) 3.21078 + 18.1141i 0.187257 + 1.05644i
\(295\) 0.0308387 + 0.0275802i 0.00179550 + 0.00160578i
\(296\) 0.214982 + 6.55220i 0.0124956 + 0.380839i
\(297\) −7.62256 + 13.2027i −0.442306 + 0.766096i
\(298\) 3.28565 1.23672i 0.190332 0.0716414i
\(299\) 5.11269 2.95181i 0.295675 0.170708i
\(300\) −17.7096 + 5.63071i −1.02247 + 0.325089i
\(301\) 16.4523 7.57158i 0.948296 0.436418i
\(302\) 3.01628 + 2.47527i 0.173568 + 0.142436i
\(303\) 13.1320 + 22.7453i 0.754413 + 1.30668i
\(304\) −26.4253 3.47630i −1.51559 0.199380i
\(305\) 1.25360 + 3.81453i 0.0717810 + 0.218419i
\(306\) 2.05334 + 0.338955i 0.117381 + 0.0193768i
\(307\) 15.5134 0.885395 0.442697 0.896671i \(-0.354022\pi\)
0.442697 + 0.896671i \(0.354022\pi\)
\(308\) 15.5681 + 6.94264i 0.887073 + 0.395593i
\(309\) 0.930357i 0.0529262i
\(310\) 12.7470 10.2558i 0.723983 0.582491i
\(311\) −4.58870 + 7.94786i −0.260201 + 0.450682i −0.966295 0.257436i \(-0.917122\pi\)
0.706094 + 0.708118i \(0.250456\pi\)
\(312\) −1.85704 2.98587i −0.105134 0.169042i
\(313\) −16.2088 28.0744i −0.916175 1.58686i −0.805172 0.593041i \(-0.797927\pi\)
−0.111002 0.993820i \(-0.535406\pi\)
\(314\) 5.75416 + 4.72208i 0.324726 + 0.266483i
\(315\) 1.96462 1.82596i 0.110694 0.102881i
\(316\) 30.6470 6.09763i 1.72403 0.343019i
\(317\) −0.205982 0.356772i −0.0115691 0.0200383i 0.860183 0.509986i \(-0.170349\pi\)
−0.871752 + 0.489947i \(0.837016\pi\)
\(318\) −0.0240799 0.0639739i −0.00135033 0.00358748i
\(319\) 8.85371 + 5.11169i 0.495713 + 0.286200i
\(320\) 6.68698 + 16.5917i 0.373813 + 0.927504i
\(321\) 34.4729i 1.92409i
\(322\) 23.2097 23.4860i 1.29343 1.30882i
\(323\) 21.6282i 1.20343i
\(324\) 15.2685 13.3915i 0.848252 0.743971i
\(325\) 1.33993 3.06480i 0.0743260 0.170004i
\(326\) −5.69393 + 2.14321i −0.315358 + 0.118701i
\(327\) −7.30229 + 4.21598i −0.403817 + 0.233144i
\(328\) −12.4634 + 23.3216i −0.688178 + 1.28772i
\(329\) 7.80069 + 5.52064i 0.430066 + 0.304363i
\(330\) −2.90229 18.7068i −0.159766 1.02977i
\(331\) 14.7269 + 25.5078i 0.809465 + 1.40203i 0.913235 + 0.407433i \(0.133576\pi\)
−0.103770 + 0.994601i \(0.533091\pi\)
\(332\) −12.5056 4.24439i −0.686334 0.232941i
\(333\) −0.525405 + 0.910027i −0.0287920 + 0.0498692i
\(334\) 0.893933 5.41530i 0.0489138 0.296312i
\(335\) −7.97783 7.13488i −0.435875 0.389820i
\(336\) −14.4342 13.3578i −0.787452 0.728725i
\(337\) 0.726788i 0.0395906i −0.999804 0.0197953i \(-0.993699\pi\)
0.999804 0.0197953i \(-0.00630146\pi\)
\(338\) −17.5148 2.89127i −0.952681 0.157264i
\(339\) 11.1797 + 6.45459i 0.607197 + 0.350565i
\(340\) 12.6410 7.13602i 0.685554 0.387005i
\(341\) 8.33319 + 14.4335i 0.451268 + 0.781619i
\(342\) −3.30250 2.71015i −0.178579 0.146548i
\(343\) −17.8150 5.06212i −0.961921 0.273329i
\(344\) −9.12566 + 17.0759i −0.492023 + 0.920673i
\(345\) −35.8941 7.50357i −1.93248 0.403979i
\(346\) 22.0023 8.28168i 1.18285 0.445226i
\(347\) 14.4004 + 8.31409i 0.773056 + 0.446324i 0.833964 0.551819i \(-0.186066\pi\)
−0.0609078 + 0.998143i \(0.519400\pi\)
\(348\) −7.77752 8.86767i −0.416919 0.475357i
\(349\) −33.3428 −1.78480 −0.892401 0.451244i \(-0.850980\pi\)
−0.892401 + 0.451244i \(0.850980\pi\)
\(350\) 2.69292 18.5135i 0.143943 0.989586i
\(351\) 3.16593i 0.168985i
\(352\) −17.7464 + 4.14018i −0.945884 + 0.220672i
\(353\) −4.25151 + 7.36384i −0.226285 + 0.391938i −0.956704 0.291062i \(-0.905991\pi\)
0.730419 + 0.682999i \(0.239325\pi\)
\(354\) 0.0455085 0.0171295i 0.00241875 0.000910421i
\(355\) 3.72261 17.8075i 0.197576 0.945125i
\(356\) −2.98259 + 0.593427i −0.158077 + 0.0314515i
\(357\) −9.21918 + 13.0268i −0.487931 + 0.689449i
\(358\) −14.2812 + 17.4026i −0.754784 + 0.919754i
\(359\) −28.2304 + 16.2989i −1.48995 + 0.860220i −0.999934 0.0114955i \(-0.996341\pi\)
−0.490012 + 0.871716i \(0.663007\pi\)
\(360\) −0.494370 + 2.82439i −0.0260556 + 0.148859i
\(361\) 12.6994 21.9960i 0.668389 1.15768i
\(362\) −10.4690 1.72817i −0.550239 0.0908309i
\(363\) −1.15714 −0.0607340
\(364\) 3.52075 0.367893i 0.184537 0.0192828i
\(365\) −18.7921 + 21.0123i −0.983625 + 1.09984i
\(366\) 4.65613 + 0.768611i 0.243380 + 0.0401760i
\(367\) −3.02375 1.74576i −0.157838 0.0911280i 0.419000 0.907986i \(-0.362381\pi\)
−0.576839 + 0.816858i \(0.695714\pi\)
\(368\) −4.60402 + 34.9977i −0.240001 + 1.82438i
\(369\) −3.67067 + 2.11926i −0.191087 + 0.110324i
\(370\) 1.12371 + 7.24288i 0.0584187 + 0.376539i
\(371\) 0.0685228 + 0.00634157i 0.00355753 + 0.000329238i
\(372\) −3.75227 18.8590i −0.194546 0.977796i
\(373\) 12.1896 + 21.1129i 0.631151 + 1.09319i 0.987317 + 0.158763i \(0.0507507\pi\)
−0.356165 + 0.934423i \(0.615916\pi\)
\(374\) 5.20922 + 13.8395i 0.269362 + 0.715625i
\(375\) −18.8943 + 8.64152i −0.975698 + 0.446246i
\(376\) −10.2109 + 0.335027i −0.526588 + 0.0172777i
\(377\) 2.12308 0.109344
\(378\) 4.68408 + 17.0765i 0.240923 + 0.878321i
\(379\) −33.6902 −1.73055 −0.865274 0.501299i \(-0.832856\pi\)
−0.865274 + 0.501299i \(0.832856\pi\)
\(380\) −29.7975 0.288471i −1.52858 0.0147982i
\(381\) 5.15352 8.92617i 0.264023 0.457301i
\(382\) 18.6928 7.03599i 0.956405 0.359992i
\(383\) −12.7966 + 7.38811i −0.653875 + 0.377515i −0.789939 0.613185i \(-0.789888\pi\)
0.136064 + 0.990700i \(0.456555\pi\)
\(384\) 20.9236 + 2.05715i 1.06776 + 0.104979i
\(385\) 18.2160 + 5.60221i 0.928372 + 0.285515i
\(386\) −8.96363 7.35589i −0.456237 0.374405i
\(387\) −2.68764 + 1.55171i −0.136621 + 0.0788779i
\(388\) 23.0487 + 7.82271i 1.17012 + 0.397138i
\(389\) 0.178263 + 0.102920i 0.00903829 + 0.00521826i 0.504512 0.863404i \(-0.331672\pi\)
−0.495474 + 0.868623i \(0.665006\pi\)
\(390\) −2.46437 3.06299i −0.124788 0.155100i
\(391\) 28.6445 1.44861
\(392\) 18.4460 7.19339i 0.931664 0.363321i
\(393\) 2.99894i 0.151277i
\(394\) −9.25335 1.52750i −0.466177 0.0769544i
\(395\) 33.1896 10.9074i 1.66995 0.548810i
\(396\) −2.76596 0.938764i −0.138995 0.0471747i
\(397\) 4.39175 2.53558i 0.220416 0.127257i −0.385727 0.922613i \(-0.626049\pi\)
0.606143 + 0.795356i \(0.292716\pi\)
\(398\) 3.19635 3.89496i 0.160219 0.195237i
\(399\) 29.7605 13.6962i 1.48989 0.685668i
\(400\) 9.66280 + 17.5109i 0.483140 + 0.875543i
\(401\) −9.62688 16.6743i −0.480744 0.832672i 0.519012 0.854767i \(-0.326300\pi\)
−0.999756 + 0.0220944i \(0.992967\pi\)
\(402\) −11.7728 + 4.43131i −0.587176 + 0.221014i
\(403\) 2.99739 + 1.73054i 0.149311 + 0.0862045i
\(404\) 21.2508 18.6383i 1.05727 0.927291i
\(405\) 15.1367 16.9250i 0.752148 0.841010i
\(406\) 11.4515 3.14115i 0.568329 0.155893i
\(407\) −7.46653 −0.370102
\(408\) −0.559478 17.0517i −0.0276983 0.844186i
\(409\) −18.9967 10.9678i −0.939327 0.542321i −0.0495776 0.998770i \(-0.515788\pi\)
−0.889749 + 0.456450i \(0.849121\pi\)
\(410\) −10.6820 + 27.5669i −0.527548 + 1.36143i
\(411\) 13.4830 7.78442i 0.665068 0.383977i
\(412\) 0.982038 0.195390i 0.0483815 0.00962617i
\(413\) −0.00451114 + 0.0487445i −0.000221979 + 0.00239856i
\(414\) −3.58933 + 4.37383i −0.176406 + 0.214962i
\(415\) −14.4526 3.02128i −0.709451 0.148309i
\(416\) −2.76173 + 2.58728i −0.135405 + 0.126852i
\(417\) 16.3001 + 9.41089i 0.798222 + 0.460853i
\(418\) 4.94410 29.9506i 0.241824 1.46493i
\(419\) 20.3822i 0.995734i −0.867253 0.497867i \(-0.834117\pi\)
0.867253 0.497867i \(-0.165883\pi\)
\(420\) −17.8242 12.8751i −0.869731 0.628243i
\(421\) 21.2887i 1.03755i 0.854912 + 0.518774i \(0.173611\pi\)
−0.854912 + 0.518774i \(0.826389\pi\)
\(422\) 18.9192 + 3.12310i 0.920974 + 0.152030i
\(423\) −1.41818 0.818788i −0.0689544 0.0398108i
\(424\) −0.0624704 + 0.0388530i −0.00303383 + 0.00188687i
\(425\) 13.0656 9.62748i 0.633772 0.467002i
\(426\) −16.5286 13.5640i −0.800814 0.657178i
\(427\) −2.74449 + 3.87798i −0.132815 + 0.187669i
\(428\) 36.3878 7.23986i 1.75887 0.349952i
\(429\) 3.46823 2.00239i 0.167448 0.0966761i
\(430\) −7.82133 + 20.1844i −0.377178 + 0.973377i
\(431\) 18.7227 + 10.8096i 0.901842 + 0.520679i 0.877797 0.479032i \(-0.159012\pi\)
0.0240450 + 0.999711i \(0.492346\pi\)
\(432\) −15.0192 11.5223i −0.722613 0.554367i
\(433\) 29.8068 1.43243 0.716213 0.697882i \(-0.245874\pi\)
0.716213 + 0.697882i \(0.245874\pi\)
\(434\) 18.7278 + 4.89955i 0.898964 + 0.235186i
\(435\) −9.82972 8.79110i −0.471299 0.421501i
\(436\) 5.98377 + 6.82250i 0.286570 + 0.326738i
\(437\) −50.9239 29.4009i −2.43602 1.40644i
\(438\) 11.6714 + 31.0078i 0.557680 + 1.48161i
\(439\) 14.9755 + 25.9383i 0.714740 + 1.23797i 0.963060 + 0.269288i \(0.0867883\pi\)
−0.248320 + 0.968678i \(0.579878\pi\)
\(440\) −19.1364 + 6.99223i −0.912292 + 0.333341i
\(441\) 3.11965 + 0.582416i 0.148555 + 0.0277341i
\(442\) 2.37388 + 1.94809i 0.112914 + 0.0926613i
\(443\) −32.1133 + 18.5406i −1.52575 + 0.880893i −0.526218 + 0.850350i \(0.676390\pi\)
−0.999533 + 0.0305429i \(0.990276\pi\)
\(444\) 8.15741 + 2.76862i 0.387134 + 0.131393i
\(445\) −3.23004 + 1.06152i −0.153119 + 0.0503207i
\(446\) −4.03648 + 24.4524i −0.191133 + 1.15785i
\(447\) 4.61317i 0.218195i
\(448\) −11.0683 + 18.0414i −0.522930 + 0.852376i
\(449\) 17.1980 0.811625 0.405813 0.913956i \(-0.366989\pi\)
0.405813 + 0.913956i \(0.366989\pi\)
\(450\) −0.167139 + 3.20141i −0.00787899 + 0.150916i
\(451\) −26.0819 15.0584i −1.22815 0.709073i
\(452\) 4.46523 13.1563i 0.210027 0.618819i
\(453\) 4.44032 2.56362i 0.208625 0.120449i
\(454\) 9.82483 11.9722i 0.461102 0.561883i
\(455\) 3.85778 0.883906i 0.180855 0.0414381i
\(456\) −16.5074 + 30.8886i −0.773029 + 1.44649i
\(457\) −8.54674 + 4.93447i −0.399800 + 0.230825i −0.686398 0.727226i \(-0.740809\pi\)
0.286598 + 0.958051i \(0.407476\pi\)
\(458\) −9.31795 24.7554i −0.435399 1.15674i
\(459\) −7.68057 + 13.3031i −0.358498 + 0.620937i
\(460\) −0.382051 + 39.4639i −0.0178132 + 1.84001i
\(461\) −19.0434 −0.886938 −0.443469 0.896290i \(-0.646252\pi\)
−0.443469 + 0.896290i \(0.646252\pi\)
\(462\) 15.7445 15.9319i 0.732500 0.741218i
\(463\) −15.5965 −0.724831 −0.362415 0.932017i \(-0.618048\pi\)
−0.362415 + 0.932017i \(0.618048\pi\)
\(464\) −7.72686 + 10.0719i −0.358711 + 0.467576i
\(465\) −6.71202 20.4237i −0.311262 0.947127i
\(466\) 5.66038 2.13058i 0.262212 0.0986970i
\(467\) 11.3528 + 19.6636i 0.525343 + 0.909921i 0.999564 + 0.0295151i \(0.00939632\pi\)
−0.474221 + 0.880406i \(0.657270\pi\)
\(468\) −0.594924 + 0.118368i −0.0275004 + 0.00547157i
\(469\) 1.16701 12.6100i 0.0538876 0.582274i
\(470\) −11.2873 + 1.75118i −0.520642 + 0.0807758i
\(471\) 8.47081 4.89062i 0.390314 0.225348i
\(472\) −0.0276385 0.0444390i −0.00127217 0.00204547i
\(473\) −19.0970 11.0257i −0.878083 0.506961i
\(474\) 6.68757 40.5122i 0.307170 1.86079i
\(475\) −33.1095 + 3.70506i −1.51917 + 0.170000i
\(476\) 15.6866 + 6.99548i 0.718992 + 0.320637i
\(477\) −0.0117920 −0.000539917
\(478\) −5.78288 + 35.0317i −0.264503 + 1.60231i
\(479\) 17.2162 29.8193i 0.786626 1.36248i −0.141397 0.989953i \(-0.545159\pi\)
0.928023 0.372523i \(-0.121507\pi\)
\(480\) 23.4999 0.543371i 1.07262 0.0248014i
\(481\) −1.34283 + 0.775282i −0.0612277 + 0.0353498i
\(482\) −2.14357 1.75909i −0.0976369 0.0801245i
\(483\) −18.1393 39.4149i −0.825366 1.79344i
\(484\) 0.243017 + 1.22142i 0.0110462 + 0.0555189i
\(485\) 26.6372 + 5.56843i 1.20953 + 0.252849i
\(486\) −2.32806 6.18503i −0.105603 0.280559i
\(487\) 0.417834 0.723709i 0.0189338 0.0327944i −0.856403 0.516308i \(-0.827306\pi\)
0.875337 + 0.483513i \(0.160639\pi\)
\(488\) −0.166553 5.07619i −0.00753951 0.229788i
\(489\) 7.99448i 0.361523i
\(490\) 19.5005 10.4753i 0.880941 0.473227i
\(491\) 28.3101 1.27762 0.638809 0.769365i \(-0.279427\pi\)
0.638809 + 0.769365i \(0.279427\pi\)
\(492\) 22.9116 + 26.1231i 1.03293 + 1.17772i
\(493\) 8.92109 + 5.15060i 0.401786 + 0.231971i
\(494\) −2.22072 5.89987i −0.0999149 0.265448i
\(495\) −3.19659 0.668240i −0.143676 0.0300351i
\(496\) −19.1186 + 7.92140i −0.858451 + 0.355681i
\(497\) 19.5542 8.99911i 0.877127 0.403665i
\(498\) −11.0086 + 13.4147i −0.493306 + 0.601125i
\(499\) 2.19914 + 3.80903i 0.0984472 + 0.170516i 0.911042 0.412313i \(-0.135279\pi\)
−0.812595 + 0.582829i \(0.801946\pi\)
\(500\) 13.0897 + 18.1290i 0.585387 + 0.810754i
\(501\) −6.24594 3.60609i −0.279048 0.161108i
\(502\) −2.36590 + 14.3322i −0.105595 + 0.639679i
\(503\) 21.2435i 0.947200i −0.880740 0.473600i \(-0.842954\pi\)
0.880740 0.473600i \(-0.157046\pi\)
\(504\) −3.03379 + 1.51866i −0.135136 + 0.0676467i
\(505\) 21.0673 23.5563i 0.937482 1.04824i
\(506\) −39.6666 6.54798i −1.76340 0.291093i
\(507\) −11.6633 + 20.2014i −0.517984 + 0.897174i
\(508\) −10.5043 3.56516i −0.466054 0.158178i
\(509\) −4.64622 8.04750i −0.205940 0.356699i 0.744492 0.667632i \(-0.232692\pi\)
−0.950432 + 0.310933i \(0.899359\pi\)
\(510\) −2.92438 18.8492i −0.129494 0.834654i
\(511\) −33.2126 3.07372i −1.46924 0.135973i
\(512\) −2.22287 22.5180i −0.0982381 0.995163i
\(513\) 27.3089 15.7668i 1.20572 0.696121i
\(514\) 4.41206 + 11.7217i 0.194608 + 0.517021i
\(515\) 1.06351 0.349511i 0.0468640 0.0154013i
\(516\) 16.7757 + 19.1272i 0.738511 + 0.842027i
\(517\) 11.6358i 0.511742i
\(518\) −6.09594 + 6.16849i −0.267840 + 0.271028i
\(519\) 30.8919i 1.35601i
\(520\) −2.71558 + 3.24454i −0.119086 + 0.142283i
\(521\) 19.2972 + 11.1412i 0.845425 + 0.488106i 0.859104 0.511800i \(-0.171021\pi\)
−0.0136798 + 0.999906i \(0.504355\pi\)
\(522\) −1.90433 + 0.716794i −0.0833504 + 0.0313732i
\(523\) 1.18906 + 2.05951i 0.0519939 + 0.0900560i 0.890851 0.454296i \(-0.150109\pi\)
−0.838857 + 0.544352i \(0.816776\pi\)
\(524\) 3.16553 0.629826i 0.138287 0.0275141i
\(525\) −21.5213 11.8816i −0.939267 0.518556i
\(526\) −11.1457 + 13.5817i −0.485975 + 0.592192i
\(527\) 8.39662 + 14.5434i 0.365762 + 0.633519i
\(528\) −3.12317 + 23.7409i −0.135919 + 1.03319i
\(529\) −27.4386 + 47.5251i −1.19298 + 2.06631i
\(530\) −0.0640839 + 0.0515596i −0.00278363 + 0.00223961i
\(531\) 0.00838834i 0.000364023i
\(532\) −20.7072 28.5373i −0.897771 1.23725i
\(533\) −6.25432 −0.270905
\(534\) −0.650840 + 3.94268i −0.0281646 + 0.170617i
\(535\) 39.4068 12.9506i 1.70370 0.559903i
\(536\) 7.14995 + 11.4962i 0.308831 + 0.496558i
\(537\) 14.7909 + 25.6186i 0.638275 + 1.10552i
\(538\) 24.4080 29.7428i 1.05230 1.28230i
\(539\) 7.49943 + 21.2661i 0.323023 + 0.915996i
\(540\) −18.2255 10.7591i −0.784300 0.462996i
\(541\) 18.1918 10.5031i 0.782128 0.451562i −0.0550562 0.998483i \(-0.517534\pi\)
0.837184 + 0.546922i \(0.184200\pi\)
\(542\) 5.17902 + 13.7593i 0.222458 + 0.591012i
\(543\) −6.97140 + 12.0748i −0.299171 + 0.518180i
\(544\) −17.8814 + 4.17169i −0.766660 + 0.178860i
\(545\) 7.56266 + 6.76358i 0.323949 + 0.289720i
\(546\) 1.17731 4.50011i 0.0503844 0.192587i
\(547\) 14.9270i 0.638234i 0.947715 + 0.319117i \(0.103386\pi\)
−0.947715 + 0.319117i \(0.896614\pi\)
\(548\) −11.0485 12.5971i −0.471968 0.538123i
\(549\) 0.407047 0.705026i 0.0173723 0.0300898i
\(550\) −20.2938 + 10.3453i −0.865333 + 0.441126i
\(551\) −10.5732 18.3134i −0.450434 0.780175i
\(552\) 40.9090 + 21.8624i 1.74120 + 0.930526i
\(553\) 33.7417 + 23.8794i 1.43485 + 1.01546i
\(554\) −18.3271 + 22.3328i −0.778645 + 0.948829i
\(555\) 9.42745 + 1.97078i 0.400173 + 0.0836551i
\(556\) 6.51037 19.1820i 0.276101 0.813500i
\(557\) 1.63827 2.83757i 0.0694157 0.120232i −0.829229 0.558910i \(-0.811220\pi\)
0.898644 + 0.438678i \(0.144553\pi\)
\(558\) −3.27283 0.540264i −0.138550 0.0228712i
\(559\) −4.57938 −0.193687
\(560\) −9.84699 + 21.5183i −0.416111 + 0.909314i
\(561\) 19.4312 0.820385
\(562\) 43.4865 + 7.17855i 1.83437 + 0.302809i
\(563\) 4.29192 7.43383i 0.180883 0.313299i −0.761298 0.648402i \(-0.775438\pi\)
0.942181 + 0.335103i \(0.108771\pi\)
\(564\) −4.31460 + 12.7125i −0.181677 + 0.535291i
\(565\) 3.17848 15.2046i 0.133720 0.639661i
\(566\) −12.7256 + 15.5070i −0.534897 + 0.651807i
\(567\) 26.7521 + 2.47582i 1.12348 + 0.103975i
\(568\) −10.8462 + 20.2954i −0.455097 + 0.851577i
\(569\) −12.8908 22.3275i −0.540411 0.936019i −0.998880 0.0473086i \(-0.984936\pi\)
0.458470 0.888710i \(-0.348398\pi\)
\(570\) −14.1480 + 36.5114i −0.592594 + 1.52930i
\(571\) −15.5532 + 26.9389i −0.650881 + 1.12736i 0.332029 + 0.943269i \(0.392267\pi\)
−0.982909 + 0.184089i \(0.941066\pi\)
\(572\) −2.84200 3.24036i −0.118830 0.135486i
\(573\) 26.2453i 1.09641i
\(574\) −33.7348 + 9.25343i −1.40806 + 0.386231i
\(575\) 4.90699 + 43.8503i 0.204636 + 1.82869i
\(576\) 1.60366 3.25312i 0.0668193 0.135547i
\(577\) −10.1101 + 17.5112i −0.420889 + 0.729001i −0.996027 0.0890553i \(-0.971615\pi\)
0.575137 + 0.818057i \(0.304949\pi\)
\(578\) −3.22035 8.55564i −0.133949 0.355868i
\(579\) −13.1955 + 7.61844i −0.548387 + 0.316611i
\(580\) −7.21504 + 12.2220i −0.299588 + 0.507492i
\(581\) −7.30370 15.8702i −0.303008 0.658409i
\(582\) 20.2896 24.7242i 0.841030 1.02485i
\(583\) −0.0418939 0.0725624i −0.00173507 0.00300523i
\(584\) 30.2791 18.8318i 1.25296 0.779267i
\(585\) −0.644282 + 0.211736i −0.0266378 + 0.00875420i
\(586\) 3.07267 18.6137i 0.126931 0.768927i
\(587\) −21.6836 −0.894976 −0.447488 0.894290i \(-0.647681\pi\)
−0.447488 + 0.894290i \(0.647681\pi\)
\(588\) −0.307797 26.0147i −0.0126933 1.07283i
\(589\) 34.4734i 1.42045i
\(590\) −0.0366775 0.0455868i −0.00150999 0.00187678i
\(591\) −6.16188 + 10.6727i −0.253466 + 0.439016i
\(592\) 1.20923 9.19200i 0.0496989 0.377789i
\(593\) −14.9180 25.8387i −0.612609 1.06107i −0.990799 0.135342i \(-0.956787\pi\)
0.378190 0.925728i \(-0.376547\pi\)
\(594\) 13.6770 16.6663i 0.561174 0.683827i
\(595\) 18.3546 + 5.64485i 0.752466 + 0.231416i
\(596\) −4.86942 + 0.968838i −0.199459 + 0.0396852i
\(597\) −3.31044 5.73384i −0.135487 0.234671i
\(598\) −7.81380 + 2.94113i −0.319530 + 0.120272i
\(599\) −6.90813 3.98841i −0.282259 0.162962i 0.352187 0.935930i \(-0.385438\pi\)
−0.634445 + 0.772968i \(0.718771\pi\)
\(600\) 26.0078 3.77755i 1.06176 0.154218i
\(601\) 42.8990i 1.74989i −0.484224 0.874944i \(-0.660898\pi\)
0.484224 0.874944i \(-0.339102\pi\)
\(602\) −24.7004 + 6.77531i −1.00671 + 0.276141i
\(603\) 2.17002i 0.0883702i
\(604\) −3.63857 4.14858i −0.148051 0.168803i
\(605\) 0.434707 + 1.32275i 0.0176734 + 0.0537775i
\(606\) −13.0844 34.7619i −0.531519 1.41211i
\(607\) −24.6567 + 14.2355i −1.00078 + 0.577802i −0.908480 0.417929i \(-0.862756\pi\)
−0.0923032 + 0.995731i \(0.529423\pi\)
\(608\) 36.0713 + 10.9372i 1.46288 + 0.443564i
\(609\) 1.43791 15.5371i 0.0582670 0.629596i
\(610\) −0.870569 5.61128i −0.0352483 0.227194i
\(611\) −1.20820 2.09266i −0.0488783 0.0846598i
\(612\) −2.78701 0.945909i −0.112658 0.0382361i
\(613\) 13.6922 23.7156i 0.553022 0.957863i −0.445032 0.895515i \(-0.646808\pi\)
0.998054 0.0623483i \(-0.0198589\pi\)
\(614\) −21.6463 3.57327i −0.873572 0.144205i
\(615\) 28.9571 + 25.8975i 1.16766 + 1.04429i
\(616\) −20.1235 13.2731i −0.810798 0.534790i
\(617\) 26.4349i 1.06423i 0.846673 + 0.532114i \(0.178602\pi\)
−0.846673 + 0.532114i \(0.821398\pi\)
\(618\) 0.214293 1.29816i 0.00862015 0.0522195i
\(619\) −6.44010 3.71819i −0.258850 0.149447i 0.364960 0.931023i \(-0.381083\pi\)
−0.623810 + 0.781576i \(0.714416\pi\)
\(620\) −20.1486 + 11.3742i −0.809187 + 0.456797i
\(621\) −20.8816 36.1679i −0.837949 1.45137i
\(622\) 8.23341 10.0329i 0.330130 0.402285i
\(623\) −3.28377 2.32396i −0.131562 0.0931076i
\(624\) 1.90343 + 4.59402i 0.0761984 + 0.183908i
\(625\) 16.9764 + 18.3521i 0.679057 + 0.734085i
\(626\) 16.1501 + 42.9065i 0.645487 + 1.71489i
\(627\) −34.5446 19.9443i −1.37958 0.796500i
\(628\) −6.94130 7.91425i −0.276988 0.315813i
\(629\) −7.52335 −0.299976
\(630\) −3.16188 + 2.09530i −0.125972 + 0.0834788i
\(631\) 23.0524i 0.917701i −0.888514 0.458850i \(-0.848261\pi\)
0.888514 0.458850i \(-0.151739\pi\)
\(632\) −44.1671 + 1.44915i −1.75687 + 0.0576443i
\(633\) 12.5985 21.8212i 0.500744 0.867315i
\(634\) 0.205237 + 0.545260i 0.00815098 + 0.0216550i
\(635\) −12.1398 2.53778i −0.481752 0.100709i
\(636\) 0.0188640 + 0.0948111i 0.000748005 + 0.00375950i
\(637\) 3.55690 + 3.04593i 0.140929 + 0.120684i
\(638\) −11.1764 9.17181i −0.442480 0.363115i
\(639\) −3.19437 + 1.84427i −0.126367 + 0.0729581i
\(640\) −5.50890 24.6911i −0.217758 0.976003i
\(641\) 4.04336 7.00330i 0.159703 0.276614i −0.775059 0.631889i \(-0.782280\pi\)
0.934762 + 0.355276i \(0.115613\pi\)
\(642\) 7.94030 48.1011i 0.313379 1.89840i
\(643\) 22.3144 0.879995 0.439998 0.897999i \(-0.354979\pi\)
0.439998 + 0.897999i \(0.354979\pi\)
\(644\) −37.7949 + 27.4247i −1.48933 + 1.08068i
\(645\) 21.2023 + 18.9620i 0.834838 + 0.746628i
\(646\) 4.98173 30.1785i 0.196003 1.18736i
\(647\) 1.37529 + 0.794021i 0.0540681 + 0.0312162i 0.526790 0.849995i \(-0.323395\pi\)
−0.472722 + 0.881211i \(0.656729\pi\)
\(648\) −24.3892 + 15.1687i −0.958097 + 0.595881i
\(649\) 0.0516180 0.0298017i 0.00202618 0.00116982i
\(650\) −2.57557 + 3.96777i −0.101022 + 0.155629i
\(651\) 14.6945 20.7635i 0.575924 0.813784i
\(652\) 8.43857 1.67897i 0.330480 0.0657535i
\(653\) −22.2296 38.5028i −0.869912 1.50673i −0.862086 0.506762i \(-0.830842\pi\)
−0.00782554 0.999969i \(-0.502491\pi\)
\(654\) 11.1602 4.20071i 0.436398 0.164261i
\(655\) 3.42816 1.12663i 0.133949 0.0440209i
\(656\) 22.7624 29.6706i 0.888721 1.15844i
\(657\) 5.71550 0.222983
\(658\) −9.61294 9.49988i −0.374752 0.370344i
\(659\) 6.14200 0.239259 0.119629 0.992819i \(-0.461829\pi\)
0.119629 + 0.992819i \(0.461829\pi\)
\(660\) −0.259167 + 26.7706i −0.0100881 + 1.04205i
\(661\) 4.19173 7.26029i 0.163039 0.282393i −0.772918 0.634506i \(-0.781204\pi\)
0.935957 + 0.352114i \(0.114537\pi\)
\(662\) −14.6736 38.9839i −0.570306 1.51515i
\(663\) 3.49463 2.01762i 0.135720 0.0783581i
\(664\) 16.4718 + 8.80280i 0.639230 + 0.341615i
\(665\) −26.8367 28.8747i −1.04068 1.11971i
\(666\) 0.942724 1.14877i 0.0365298 0.0445139i
\(667\) −24.2543 + 14.0032i −0.939128 + 0.542206i
\(668\) −2.49466 + 7.35023i −0.0965214 + 0.284389i
\(669\) 28.2030 + 16.2830i 1.09039 + 0.629538i
\(670\) 9.48829 + 11.7931i 0.366565 + 0.455606i
\(671\) 5.78454 0.223310
\(672\) 17.0638 + 21.9632i 0.658250 + 0.847248i
\(673\) 5.56001i 0.214323i −0.994242 0.107161i \(-0.965824\pi\)
0.994242 0.107161i \(-0.0341761\pi\)
\(674\) −0.167404 + 1.01411i −0.00644817 + 0.0390620i
\(675\) −21.6808 9.47887i −0.834495 0.364842i
\(676\) 23.7730 + 8.06854i 0.914347 + 0.310329i
\(677\) 13.5074 7.79851i 0.519132 0.299721i −0.217447 0.976072i \(-0.569773\pi\)
0.736579 + 0.676351i \(0.236440\pi\)
\(678\) −14.1126 11.5813i −0.541992 0.444779i
\(679\) 13.4612 + 29.2500i 0.516594 + 1.12251i
\(680\) −19.2820 + 7.04545i −0.739432 + 0.270181i
\(681\) −10.1755 17.6245i −0.389926 0.675371i
\(682\) −8.30302 22.0589i −0.317939 0.844681i
\(683\) −13.9790 8.07076i −0.534890 0.308819i 0.208115 0.978104i \(-0.433267\pi\)
−0.743006 + 0.669285i \(0.766600\pi\)
\(684\) 3.98383 + 4.54224i 0.152326 + 0.173677i
\(685\) −13.9638 12.4883i −0.533529 0.477155i
\(686\) 23.6919 + 11.1667i 0.904559 + 0.426348i
\(687\) −34.7574 −1.32608
\(688\) 16.6665 21.7246i 0.635404 0.828244i
\(689\) −0.0150689 0.00870005i −0.000574081 0.000331446i
\(690\) 48.3558 + 18.7376i 1.84088 + 0.713329i
\(691\) 12.5750 7.26020i 0.478377 0.276191i −0.241363 0.970435i \(-0.577594\pi\)
0.719740 + 0.694244i \(0.244261\pi\)
\(692\) −32.6080 + 6.48780i −1.23957 + 0.246629i
\(693\) −1.61541 3.51014i −0.0613645 0.133339i
\(694\) −18.1783 14.9178i −0.690040 0.566273i
\(695\) 4.63427 22.1685i 0.175788 0.840900i
\(696\) 8.80967 + 14.1648i 0.333930 + 0.536914i
\(697\) −26.2804 15.1730i −0.995442 0.574719i
\(698\) 46.5243 + 7.68001i 1.76097 + 0.290693i
\(699\) 7.94737i 0.300597i
\(700\) −8.02180 + 25.2121i −0.303195 + 0.952928i
\(701\) 50.0391i 1.88995i 0.327140 + 0.944976i \(0.393915\pi\)
−0.327140 + 0.944976i \(0.606085\pi\)
\(702\) 0.729224 4.41752i 0.0275228 0.166729i
\(703\) 13.3749 + 7.72203i 0.504446 + 0.291242i
\(704\) 25.7157 1.68932i 0.969195 0.0636685i
\(705\) −3.07126 + 14.6917i −0.115670 + 0.553321i
\(706\) 7.62841 9.29572i 0.287099 0.349849i
\(707\) 37.2337 + 3.44586i 1.40032 + 0.129595i
\(708\) −0.0674449 + 0.0134191i −0.00253473 + 0.000504320i
\(709\) −24.6072 + 14.2069i −0.924141 + 0.533553i −0.884954 0.465679i \(-0.845810\pi\)
−0.0391872 + 0.999232i \(0.512477\pi\)
\(710\) −9.29596 + 23.9899i −0.348871 + 0.900325i
\(711\) −6.13432 3.54165i −0.230055 0.132822i
\(712\) 4.29838 0.141033i 0.161089 0.00528543i
\(713\) −45.6567 −1.70986
\(714\) 15.8643 16.0531i 0.593707 0.600773i
\(715\) −3.59190 3.21237i −0.134329 0.120136i
\(716\) 23.9354 20.9929i 0.894507 0.784540i
\(717\) 40.4051 + 23.3279i 1.50896 + 0.871197i
\(718\) 43.1450 16.2398i 1.61016 0.606065i
\(719\) 6.99938 + 12.1233i 0.261033 + 0.452122i 0.966517 0.256604i \(-0.0826036\pi\)
−0.705484 + 0.708726i \(0.749270\pi\)
\(720\) 1.34036 3.82709i 0.0499525 0.142627i
\(721\) 1.08121 + 0.765181i 0.0402662 + 0.0284968i
\(722\) −22.7863 + 27.7665i −0.848017 + 1.03336i
\(723\) −3.15559 + 1.82188i −0.117358 + 0.0677564i
\(724\) 14.2097 + 4.82275i 0.528098 + 0.179236i
\(725\) −6.35654 + 14.5392i −0.236076 + 0.539971i
\(726\) 1.61459 + 0.266529i 0.0599230 + 0.00989182i
\(727\) 27.8172i 1.03168i 0.856684 + 0.515842i \(0.172521\pi\)
−0.856684 + 0.515842i \(0.827479\pi\)
\(728\) −4.99734 0.297618i −0.185214 0.0110304i
\(729\) 21.7797 0.806654
\(730\) 31.0611 24.9907i 1.14962 0.924946i
\(731\) −19.2424 11.1096i −0.711705 0.410903i
\(732\) −6.31979 2.14493i −0.233586 0.0792790i
\(733\) −40.1317 + 23.1700i −1.48230 + 0.855804i −0.999798 0.0200925i \(-0.993604\pi\)
−0.482498 + 0.875897i \(0.660271\pi\)
\(734\) 3.81702 + 3.13239i 0.140889 + 0.115618i
\(735\) −3.85582 28.8307i −0.142224 1.06343i
\(736\) 14.4853 47.7729i 0.533936 1.76093i
\(737\) −13.3533 + 7.70955i −0.491877 + 0.283985i
\(738\) 5.60993 2.11159i 0.206504 0.0777286i
\(739\) −4.81690 + 8.34311i −0.177192 + 0.306906i −0.940918 0.338635i \(-0.890035\pi\)
0.763725 + 0.645541i \(0.223368\pi\)
\(740\) 0.100344 10.3650i 0.00368872 0.381026i
\(741\) −8.28362 −0.304307
\(742\) −0.0941513 0.0246318i −0.00345640 0.000904260i
\(743\) 32.6002 1.19599 0.597993 0.801501i \(-0.295965\pi\)
0.597993 + 0.801501i \(0.295965\pi\)
\(744\) 0.891758 + 27.1789i 0.0326934 + 0.996426i
\(745\) −5.27342 + 1.73305i −0.193203 + 0.0634940i
\(746\) −12.1454 32.2672i −0.444675 1.18139i
\(747\) 1.49681 + 2.59255i 0.0547655 + 0.0948566i
\(748\) −4.08086 20.5106i −0.149211 0.749941i
\(749\) 40.0623 + 28.3526i 1.46385 + 1.03598i
\(750\) 28.3542 7.70577i 1.03535 0.281375i
\(751\) 4.64496 2.68177i 0.169497 0.0978591i −0.412852 0.910798i \(-0.635467\pi\)
0.582349 + 0.812939i \(0.302134\pi\)
\(752\) 14.3248 + 1.88445i 0.522370 + 0.0687189i
\(753\) 16.5306 + 9.54396i 0.602409 + 0.347801i
\(754\) −2.96239 0.489018i −0.107884 0.0178090i
\(755\) −4.59865 4.11275i −0.167362 0.149678i
\(756\) −2.60253 24.9063i −0.0946530 0.905833i
\(757\) −14.4301 −0.524470 −0.262235 0.965004i \(-0.584460\pi\)
−0.262235 + 0.965004i \(0.584460\pi\)
\(758\) 47.0089 + 7.76001i 1.70744 + 0.281856i
\(759\) −26.4143 + 45.7509i −0.958778 + 1.66065i
\(760\) 41.5109 + 7.26591i 1.50576 + 0.263562i
\(761\) −14.5866 + 8.42159i −0.528765 + 0.305283i −0.740513 0.672042i \(-0.765418\pi\)
0.211748 + 0.977324i \(0.432084\pi\)
\(762\) −9.24687 + 11.2679i −0.334979 + 0.408193i
\(763\) −1.10628 + 11.9537i −0.0400500 + 0.432755i
\(764\) −27.7032 + 5.51193i −1.00227 + 0.199415i
\(765\) −3.22092 0.673325i −0.116453 0.0243441i
\(766\) 19.5572 7.36136i 0.706630 0.265977i
\(767\) 0.00618888 0.0107195i 0.000223467 0.000387057i
\(768\) −28.7216 7.68984i −1.03640 0.277483i
\(769\) 53.2864i 1.92156i −0.277315 0.960779i \(-0.589445\pi\)
0.277315 0.960779i \(-0.410555\pi\)
\(770\) −24.1269 12.0127i −0.869473 0.432908i
\(771\) 16.4577 0.592708
\(772\) 10.8129 + 12.3285i 0.389165 + 0.443713i
\(773\) −0.228998 0.132212i −0.00823647 0.00475533i 0.495876 0.868393i \(-0.334847\pi\)
−0.504113 + 0.863638i \(0.668180\pi\)