Properties

Label 280.2.ba.b.19.16
Level $280$
Weight $2$
Character 280.19
Analytic conductor $2.236$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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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 19.16
Character \(\chi\) \(=\) 280.19
Dual form 280.2.ba.b.59.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.498189 - 1.32356i) q^{2} +(-0.929162 - 1.60936i) q^{3} +(-1.50361 + 1.31877i) q^{4} +(-2.18875 + 0.457553i) q^{5} +(-1.66718 + 2.03156i) q^{6} +(-1.10610 + 2.40345i) q^{7} +(2.49455 + 1.33313i) q^{8} +(-0.226682 + 0.392626i) q^{9} +O(q^{10})\) \(q+(-0.498189 - 1.32356i) q^{2} +(-0.929162 - 1.60936i) q^{3} +(-1.50361 + 1.31877i) 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} +(1.69601 + 2.66900i) q^{10} +(1.61069 + 2.78980i) q^{11} +(3.51946 + 1.19450i) q^{12} -0.668981i q^{13} +(3.73215 + 0.266614i) q^{14} +(2.77007 + 3.09734i) q^{15} +(0.521713 - 3.96583i) q^{16} +(1.62295 + 2.81103i) q^{17} +(0.632594 + 0.104426i) q^{18} +(-5.77054 - 3.33162i) q^{19} +(2.68764 - 3.57444i) q^{20} +(4.89574 - 0.453085i) q^{21} +(2.89004 - 3.52170i) q^{22} +(-4.41240 + 7.64251i) q^{23} +(-0.172365 - 5.25330i) q^{24} +(4.58129 - 2.00294i) q^{25} +(-0.885435 + 0.333279i) q^{26} -4.73247 q^{27} +(-1.50644 - 5.07254i) q^{28} +3.17360i q^{29} +(2.71949 - 5.20942i) q^{30} +(2.58684 + 4.48053i) q^{31} +(-5.50892 + 1.28522i) 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} +(-1.53477 + 9.29742i) q^{38} +(-1.07663 + 0.621591i) q^{39} +(-6.06993 - 1.77650i) q^{40} +9.34903i q^{41} +(-3.03869 - 6.25408i) q^{42} +6.84531i q^{43} +(-6.10096 - 2.07066i) q^{44} +(0.316505 - 0.963080i) q^{45} +(12.3135 + 2.03266i) q^{46} +(-3.12812 - 1.80602i) q^{47} +(-6.86719 + 2.84528i) q^{48} +(-4.55310 - 5.31689i) q^{49} +(-4.93336 - 5.06576i) q^{50} +(3.01597 - 5.22381i) q^{51} +(0.882229 + 1.00589i) q^{52} +(-0.0130049 - 0.0225252i) q^{53} +(2.35767 + 6.26370i) q^{54} +(-4.80189 - 5.36921i) q^{55} +(-5.96331 + 4.52094i) q^{56} +12.3825i q^{57} +(4.20044 - 1.58105i) q^{58} +(0.0160236 - 0.00925120i) q^{59} +(-8.24979 - 1.00413i) 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} +(-8.35297 - 1.37887i) q^{66} +(-4.14522 + 2.39324i) q^{67} +(-6.14739 - 2.08642i) q^{68} +16.3993 q^{69} +(-8.29074 + 1.12410i) q^{70} -8.13591i q^{71} +(-1.08889 + 0.677227i) q^{72} +(-6.30342 - 10.9178i) q^{73} +(-3.23410 - 0.533869i) 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} +(0.672676 + 8.91894i) q^{80} +(5.07728 + 8.79410i) q^{81} +(12.3740 - 4.65759i) q^{82} -6.60312 q^{83} +(-6.76379 + 7.13760i) q^{84} +(-4.83844 - 5.41008i) q^{85} +(9.06016 - 3.41026i) q^{86} +(5.10745 - 2.94879i) q^{87} +(0.298792 + 9.10655i) q^{88} +(-1.31681 - 0.760263i) q^{89} +(-1.43237 + 0.0608833i) q^{90} +(1.60786 + 0.739958i) q^{91} +(-3.44412 - 17.3103i) q^{92} +(4.80718 - 8.32628i) q^{93} +(-0.831979 + 5.04000i) q^{94} +(14.1547 + 4.65177i) q^{95} +(7.18705 + 7.67164i) q^{96} +12.1700 q^{97} +(-4.76891 + 8.67511i) 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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(-1\) \(-1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.498189 1.32356i −0.352273 0.935897i
\(3\) −0.929162 1.60936i −0.536452 0.929162i −0.999092 0.0426153i \(-0.986431\pi\)
0.462640 0.886546i \(-0.346902\pi\)
\(4\) −1.50361 + 1.31877i −0.751807 + 0.659383i
\(5\) −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
\(10\) 1.69601 + 2.66900i 0.536326 + 0.844011i
\(11\) 1.61069 + 2.78980i 0.485642 + 0.841157i 0.999864 0.0165005i \(-0.00525252\pi\)
−0.514222 + 0.857657i \(0.671919\pi\)
\(12\) 3.51946 + 1.19450i 1.01598 + 0.344823i
\(13\) 0.668981i 0.185542i −0.995687 0.0927710i \(-0.970428\pi\)
0.995687 0.0927710i \(-0.0295724\pi\)
\(14\) 3.73215 + 0.266614i 0.997458 + 0.0712556i
\(15\) 2.77007 + 3.09734i 0.715230 + 0.799730i
\(16\) 0.521713 3.96583i 0.130428 0.991458i
\(17\) 1.62295 + 2.81103i 0.393624 + 0.681776i 0.992924 0.118748i \(-0.0378880\pi\)
−0.599301 + 0.800524i \(0.704555\pi\)
\(18\) 0.632594 + 0.104426i 0.149104 + 0.0246134i
\(19\) −5.77054 3.33162i −1.32385 0.764326i −0.339511 0.940602i \(-0.610262\pi\)
−0.984341 + 0.176276i \(0.943595\pi\)
\(20\) 2.68764 3.57444i 0.600974 0.799269i
\(21\) 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 −0.120715 + 0.992687i \(0.538519\pi\)
−0.799335 + 0.600886i \(0.794815\pi\)
\(24\) −0.172365 5.25330i −0.0351838 1.07233i
\(25\) 4.58129 2.00294i 0.916258 0.400589i
\(26\) −0.885435 + 0.333279i −0.173648 + 0.0653614i
\(27\) −4.73247 −0.910764
\(28\) −1.50644 5.07254i −0.284690 0.958620i
\(29\) 3.17360i 0.589322i 0.955602 + 0.294661i \(0.0952068\pi\)
−0.955602 + 0.294661i \(0.904793\pi\)
\(30\) 2.71949 5.20942i 0.496509 0.951105i
\(31\) 2.58684 + 4.48053i 0.464609 + 0.804727i 0.999184 0.0403943i \(-0.0128614\pi\)
−0.534574 + 0.845121i \(0.679528\pi\)
\(32\) −5.50892 + 1.28522i −0.973849 + 0.227196i
\(33\) 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 \(-0.772315\pi\)
0.945423 + 0.325845i \(0.105649\pi\)
\(38\) −1.53477 + 9.29742i −0.248973 + 1.50824i
\(39\) −1.07663 + 0.621591i −0.172398 + 0.0995343i
\(40\) −6.06993 1.77650i −0.959740 0.280889i
\(41\) 9.34903i 1.46007i 0.683408 + 0.730036i \(0.260497\pi\)
−0.683408 + 0.730036i \(0.739503\pi\)
\(42\) −3.03869 6.25408i −0.468880 0.965025i
\(43\) 6.84531i 1.04390i 0.852976 + 0.521950i \(0.174795\pi\)
−0.852976 + 0.521950i \(0.825205\pi\)
\(44\) −6.10096 2.07066i −0.919754 0.312164i
\(45\) 0.316505 0.963080i 0.0471818 0.143568i
\(46\) 12.3135 + 2.03266i 1.81553 + 0.299699i
\(47\) −3.12812 1.80602i −0.456284 0.263436i 0.254197 0.967153i \(-0.418189\pi\)
−0.710480 + 0.703717i \(0.751522\pi\)
\(48\) −6.86719 + 2.84528i −0.991193 + 0.410680i
\(49\) −4.55310 5.31689i −0.650442 0.759556i
\(50\) −4.93336 5.06576i −0.697683 0.716407i
\(51\) 3.01597 5.22381i 0.422320 0.731480i
\(52\) 0.882229 + 1.00589i 0.122343 + 0.139492i
\(53\) −0.0130049 0.0225252i −0.00178637 0.00309408i 0.865131 0.501546i \(-0.167235\pi\)
−0.866917 + 0.498452i \(0.833902\pi\)
\(54\) 2.35767 + 6.26370i 0.320838 + 0.852382i
\(55\) −4.80189 5.36921i −0.647487 0.723984i
\(56\) −5.96331 + 4.52094i −0.796881 + 0.604136i
\(57\) 12.3825i 1.64010i
\(58\) 4.20044 1.58105i 0.551545 0.207602i
\(59\) 0.0160236 0.00925120i 0.00208609 0.00120440i −0.498957 0.866627i \(-0.666283\pi\)
0.501043 + 0.865423i \(0.332950\pi\)
\(60\) −8.24979 1.00413i −1.06504 0.129633i
\(61\) −0.897835 + 1.55510i −0.114956 + 0.199110i −0.917762 0.397130i \(-0.870006\pi\)
0.802806 + 0.596240i \(0.203339\pi\)
\(62\) 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
\(66\) −8.35297 1.37887i −1.02818 0.169727i
\(67\) −4.14522 + 2.39324i −0.506419 + 0.292381i −0.731360 0.681991i \(-0.761114\pi\)
0.224942 + 0.974372i \(0.427781\pi\)
\(68\) −6.14739 2.08642i −0.745480 0.253015i
\(69\) 16.3993 1.97425
\(70\) −8.29074 + 1.12410i −0.990933 + 0.134356i
\(71\) 8.13591i 0.965555i −0.875743 0.482778i \(-0.839628\pi\)
0.875743 0.482778i \(-0.160372\pi\)
\(72\) −1.08889 + 0.677227i −0.128327 + 0.0798120i
\(73\) −6.30342 10.9178i −0.737760 1.27784i −0.953502 0.301387i \(-0.902550\pi\)
0.215742 0.976450i \(-0.430783\pi\)
\(74\) −3.23410 0.533869i −0.375956 0.0620611i
\(75\) −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 −0.999652 0.0263718i \(-0.991605\pi\)
−0.522665 0.852538i \(-0.675062\pi\)
\(80\) 0.672676 + 8.91894i 0.0752075 + 0.997168i
\(81\) 5.07728 + 8.79410i 0.564142 + 0.977123i
\(82\) 12.3740 4.65759i 1.36648 0.514344i
\(83\) −6.60312 −0.724787 −0.362393 0.932025i \(-0.618040\pi\)
−0.362393 + 0.932025i \(0.618040\pi\)
\(84\) −6.76379 + 7.13760i −0.737990 + 0.778776i
\(85\) −4.83844 5.41008i −0.524802 0.586805i
\(86\) 9.06016 3.41026i 0.976983 0.367738i
\(87\) 5.10745 2.94879i 0.547576 0.316143i
\(88\) 0.298792 + 9.10655i 0.0318514 + 0.970762i
\(89\) −1.31681 0.760263i −0.139582 0.0805877i 0.428583 0.903503i \(-0.359013\pi\)
−0.568165 + 0.822915i \(0.692346\pi\)
\(90\) −1.43237 + 0.0608833i −0.150985 + 0.00641766i
\(91\) 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
\(94\) −0.831979 + 5.04000i −0.0858121 + 0.519836i
\(95\) 14.1547 + 4.65177i 1.45224 + 0.477262i
\(96\) 7.18705 + 7.67164i 0.733525 + 0.782983i
\(97\) 12.1700 1.23568 0.617839 0.786305i \(-0.288008\pi\)
0.617839 + 0.786305i \(0.288008\pi\)
\(98\) −4.76891 + 8.67511i −0.481733 + 0.876318i
\(99\) −1.46046 −0.146782
\(100\) −4.24708 + 9.05330i −0.424708 + 0.905330i
\(101\) −7.06658 12.2397i −0.703151 1.21789i −0.967355 0.253426i \(-0.918443\pi\)
0.264204 0.964467i \(-0.414891\pi\)
\(102\) −8.41654 1.38936i −0.833362 0.137567i
\(103\) −0.433570 0.250322i −0.0427209 0.0246649i 0.478487 0.878094i \(-0.341185\pi\)
−0.521208 + 0.853429i \(0.674519\pi\)
\(104\) 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 0.997888 + 0.0649558i \(0.0206907\pi\)
0.555197 + 0.831719i \(0.312643\pi\)
\(108\) 7.11581 6.24102i 0.684719 0.600543i
\(109\) −3.92950 + 2.26870i −0.376378 + 0.217302i −0.676241 0.736680i \(-0.736392\pi\)
0.299863 + 0.953982i \(0.403059\pi\)
\(110\) −4.71421 + 9.03047i −0.449483 + 0.861022i
\(111\) −4.30722 −0.408823
\(112\) 8.95459 + 5.64051i 0.846129 + 0.532978i
\(113\) 6.94668i 0.653489i 0.945113 + 0.326744i \(0.105952\pi\)
−0.945113 + 0.326744i \(0.894048\pi\)
\(114\) 16.3889 6.16881i 1.53496 0.577762i
\(115\) 6.16081 18.7465i 0.574499 1.74812i
\(116\) −4.18523 4.77187i −0.388589 0.443057i
\(117\) 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
\(120\) 2.78093 + 11.4193i 0.253863 + 1.04244i
\(121\) 0.311339 0.539255i 0.0283036 0.0490232i
\(122\) 2.50555 + 0.413605i 0.226842 + 0.0374460i
\(123\) 15.0459 8.68675i 1.35664 0.783258i
\(124\) −9.79838 3.32556i −0.879920 0.298644i
\(125\) −9.11086 + 6.48013i −0.814901 + 0.579601i
\(126\) −0.950692 + 1.40490i −0.0846943 + 0.125158i
\(127\) 5.54642 0.492166 0.246083 0.969249i \(-0.420856\pi\)
0.246083 + 0.969249i \(0.420856\pi\)
\(128\) 6.58839 9.19745i 0.582337 0.812947i
\(129\) 11.0165 6.36040i 0.969951 0.560002i
\(130\) 1.78551 1.13460i 0.156599 0.0995110i
\(131\) 1.39758 + 0.806895i 0.122107 + 0.0704987i 0.559810 0.828621i \(-0.310874\pi\)
−0.437702 + 0.899120i \(0.644208\pi\)
\(132\) 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
\(136\) 0.301066 + 9.17586i 0.0258162 + 0.786824i
\(137\) −7.25548 + 4.18895i −0.619877 + 0.357886i −0.776821 0.629721i \(-0.783169\pi\)
0.156944 + 0.987607i \(0.449836\pi\)
\(138\) −8.16998 21.7055i −0.695475 1.84769i
\(139\) 10.1284i 0.859077i 0.903048 + 0.429539i \(0.141324\pi\)
−0.903048 + 0.429539i \(0.858676\pi\)
\(140\) 5.61818 + 10.4133i 0.474823 + 0.880082i
\(141\) 6.71235i 0.565282i
\(142\) −10.7684 + 4.05323i −0.903660 + 0.340139i
\(143\) 1.86632 1.07752i 0.156070 0.0901070i
\(144\) 1.43882 + 1.10382i 0.119902 + 0.0919852i
\(145\) −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 \(-0.300910\pi\)
−0.409347 + 0.912379i \(0.634243\pi\)
\(150\) −3.56872 + 12.6464i −0.291384 + 1.03258i
\(151\) 2.38942 1.37954i 0.194449 0.112265i −0.399615 0.916683i \(-0.630856\pi\)
0.594063 + 0.804418i \(0.297523\pi\)
\(152\) −9.95341 16.0037i −0.807328 1.29807i
\(153\) −1.47158 −0.118970
\(154\) 5.26754 + 10.8414i 0.424470 + 0.873623i
\(155\) −7.71203 8.62317i −0.619445 0.692629i
\(156\) 0.799100 2.35445i 0.0639792 0.188507i
\(157\) 4.55831 2.63174i 0.363793 0.210036i −0.306951 0.951725i \(-0.599309\pi\)
0.670743 + 0.741690i \(0.265975\pi\)
\(158\) −3.59871 + 21.8004i −0.286298 + 1.73435i
\(159\) −0.0241674 + 0.0418591i −0.00191660 + 0.00331964i
\(160\) 11.4696 5.33365i 0.906753 0.421662i
\(161\) −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 0.638760 0.769406i \(-0.279448\pi\)
−0.346946 + 0.937885i \(0.612781\pi\)
\(164\) −12.3292 14.0573i −0.962747 1.09769i
\(165\) −4.17923 + 12.7168i −0.325353 + 0.990003i
\(166\) 3.28961 + 8.73962i 0.255323 + 0.678326i
\(167\) 3.88102i 0.300322i 0.988662 + 0.150161i \(0.0479792\pi\)
−0.988662 + 0.150161i \(0.952021\pi\)
\(168\) 12.8167 + 5.39640i 0.988828 + 0.416341i
\(169\) 12.5525 0.965574
\(170\) −4.75009 + 9.09920i −0.364316 + 0.697877i
\(171\) 2.61616 1.51044i 0.200063 0.115506i
\(172\) −9.02736 10.2927i −0.688329 0.784811i
\(173\) 14.3964 + 8.31178i 1.09454 + 0.631933i 0.934781 0.355223i \(-0.115595\pi\)
0.159758 + 0.987156i \(0.448929\pi\)
\(174\) −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
\(178\) −0.350229 + 2.12163i −0.0262508 + 0.159023i
\(179\) 7.95928 + 13.7859i 0.594905 + 1.03040i 0.993560 + 0.113304i \(0.0361435\pi\)
−0.398656 + 0.917101i \(0.630523\pi\)
\(180\) 0.794175 + 1.86550i 0.0591943 + 0.139046i
\(181\) −7.50289 −0.557685 −0.278843 0.960337i \(-0.589951\pi\)
−0.278843 + 0.960337i \(0.589951\pi\)
\(182\) 0.178360 2.49673i 0.0132209 0.185070i
\(183\) 3.33693 0.246673
\(184\) −21.1954 + 13.1823i −1.56254 + 0.971813i
\(185\) −1.61811 + 4.92369i −0.118966 + 0.361997i
\(186\) −13.4152 2.21452i −0.983650 0.162376i
\(187\) −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
\(190\) −0.894820 21.0520i −0.0649171 1.52727i
\(191\) 12.2310 + 7.06156i 0.885002 + 0.510956i 0.872304 0.488963i \(-0.162625\pi\)
0.0126977 + 0.999919i \(0.495958\pi\)
\(192\) 6.57335 13.3344i 0.474391 0.962328i
\(193\) 7.10077 4.09963i 0.511124 0.295098i −0.222171 0.975008i \(-0.571314\pi\)
0.733296 + 0.679910i \(0.237981\pi\)
\(194\) −6.06297 16.1077i −0.435296 1.15647i
\(195\) 2.07206 1.85313i 0.148383 0.132705i
\(196\) 13.8578 + 1.99009i 0.989845 + 0.142149i
\(197\) −6.63166 −0.472486 −0.236243 0.971694i \(-0.575916\pi\)
−0.236243 + 0.971694i \(0.575916\pi\)
\(198\) 0.727587 + 1.93301i 0.0517074 + 0.137373i
\(199\) 1.78141 + 3.08549i 0.126281 + 0.218725i 0.922233 0.386635i \(-0.126363\pi\)
−0.795952 + 0.605360i \(0.793029\pi\)
\(200\) 14.0984 + 1.11100i 0.996909 + 0.0785596i
\(201\) 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
\(206\) −0.115316 + 0.698563i −0.00803441 + 0.0486712i
\(207\) −2.00043 3.46485i −0.139039 0.240823i
\(208\) −2.65307 0.349016i −0.183957 0.0241999i
\(209\) 21.4649i 1.48476i
\(210\) 9.51252 + 12.2983i 0.656426 + 0.848661i
\(211\) −13.5590 −0.933438 −0.466719 0.884406i \(-0.654564\pi\)
−0.466719 + 0.884406i \(0.654564\pi\)
\(212\) 0.0492599 + 0.0167188i 0.00338318 + 0.00114825i
\(213\) −13.0936 + 7.55958i −0.897157 + 0.517974i
\(214\) 4.27283 25.8841i 0.292085 1.76940i
\(215\) −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
\(220\) 14.3009 + 1.74065i 0.964168 + 0.117355i
\(221\) 1.88053 1.08572i 0.126498 0.0730337i
\(222\) 2.14581 + 5.70086i 0.144017 + 0.382617i
\(223\) 17.5244i 1.17352i −0.809760 0.586761i \(-0.800403\pi\)
0.809760 0.586761i \(-0.199597\pi\)
\(224\) 3.00446 14.6620i 0.200744 0.979644i
\(225\) −0.252091 + 2.25276i −0.0168061 + 0.150184i
\(226\) 9.19434 3.46076i 0.611598 0.230207i
\(227\) −5.47563 9.48408i −0.363431 0.629480i 0.625092 0.780551i \(-0.285061\pi\)
−0.988523 + 0.151071i \(0.951728\pi\)
\(228\) −16.3296 18.6184i −1.08145 1.23304i
\(229\) −9.35182 + 16.1978i −0.617985 + 1.07038i 0.371867 + 0.928286i \(0.378718\pi\)
−0.989853 + 0.142096i \(0.954616\pi\)
\(230\) −27.8813 + 1.18510i −1.83844 + 0.0781433i
\(231\) 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 0.373752 0.927529i \(-0.378071\pi\)
−0.616388 + 0.787443i \(0.711405\pi\)
\(234\) 0.0698587 0.423193i 0.00456681 0.0276650i
\(235\) 7.67305 + 2.52166i 0.500534 + 0.164495i
\(236\) −0.0118931 + 0.0350416i −0.000774173 + 0.00228101i
\(237\) 29.0342i 1.88597i
\(238\) 5.30763 + 10.9239i 0.344043 + 0.708091i
\(239\) 25.1064i 1.62400i −0.583658 0.812000i \(-0.698379\pi\)
0.583658 0.812000i \(-0.301621\pi\)
\(240\) 13.7287 9.36971i 0.886185 0.604812i
\(241\) 1.69808 0.980389i 0.109383 0.0631524i −0.444310 0.895873i \(-0.646551\pi\)
0.553694 + 0.832721i \(0.313218\pi\)
\(242\) −0.868842 0.143424i −0.0558513 0.00921967i
\(243\) 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
\(248\) 0.479872 + 14.6255i 0.0304719 + 0.928719i
\(249\) 6.13537 + 10.6268i 0.388813 + 0.673444i
\(250\) 13.1158 + 8.83043i 0.829514 + 0.558485i
\(251\) 10.2716i 0.648336i 0.945999 + 0.324168i \(0.105084\pi\)
−0.945999 + 0.324168i \(0.894916\pi\)
\(252\) 2.33309 + 0.558390i 0.146971 + 0.0351753i
\(253\) −28.4281 −1.78726
\(254\) −2.76317 7.34102i −0.173377 0.460616i
\(255\) −4.21104 + 12.8136i −0.263706 + 0.802419i
\(256\) −15.4556 4.13806i −0.965977 0.258628i
\(257\) −4.42809 + 7.66968i −0.276217 + 0.478422i −0.970441 0.241337i \(-0.922414\pi\)
0.694225 + 0.719759i \(0.255747\pi\)
\(258\) −13.9067 11.4123i −0.865792 0.710501i
\(259\) 3.54252 + 5.00559i 0.220121 + 0.311032i
\(260\) −2.39123 1.79798i −0.148298 0.111506i
\(261\) −1.24604 0.719399i −0.0771277 0.0445297i
\(262\) 0.371712 2.25177i 0.0229644 0.139115i
\(263\) −6.21178 10.7591i −0.383035 0.663436i 0.608459 0.793585i \(-0.291788\pi\)
−0.991494 + 0.130149i \(0.958454\pi\)
\(264\) 14.3780 8.94232i 0.884908 0.550362i
\(265\) 0.0387711 + 0.0433517i 0.00238169 + 0.00266307i
\(266\) −20.6482 13.9726i −1.26602 0.856715i
\(267\) 2.82563i 0.172926i
\(268\) 3.07668 9.06508i 0.187938 0.553738i
\(269\) 13.6032 + 23.5615i 0.829403 + 1.43657i 0.898507 + 0.438959i \(0.144653\pi\)
−0.0691035 + 0.997609i \(0.522014\pi\)
\(270\) −8.02633 12.6309i −0.488467 0.768695i
\(271\) 5.19784 9.00292i 0.315746 0.546889i −0.663850 0.747866i \(-0.731078\pi\)
0.979596 + 0.200978i \(0.0644118\pi\)
\(272\) 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
\(276\) −24.6583 + 21.6269i −1.48425 + 1.30179i
\(277\) −10.2142 17.6915i −0.613711 1.06298i −0.990609 0.136724i \(-0.956343\pi\)
0.376898 0.926255i \(-0.376991\pi\)
\(278\) 13.4055 5.04585i 0.804008 0.302630i
\(279\) −2.34556 −0.140425
\(280\) 10.9837 12.6238i 0.656399 0.754414i
\(281\) −31.1658 −1.85919 −0.929597 0.368578i \(-0.879845\pi\)
−0.929597 + 0.368578i \(0.879845\pi\)
\(282\) 8.88419 3.34402i 0.529046 0.199134i
\(283\) 7.09232 + 12.2843i 0.421594 + 0.730223i 0.996096 0.0882807i \(-0.0281373\pi\)
−0.574501 + 0.818504i \(0.694804\pi\)
\(284\) 10.7294 + 12.2333i 0.636671 + 0.725911i
\(285\) −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
\(290\) −8.47032 + 5.38246i −0.497394 + 0.316069i
\(291\) −11.3079 19.5859i −0.662881 1.14814i
\(292\) 23.8760 + 8.10349i 1.39724 + 0.474221i
\(293\) 13.3400i 0.779333i 0.920956 + 0.389666i \(0.127410\pi\)
−0.920956 + 0.389666i \(0.872590\pi\)
\(294\) 18.3924 0.385706i 1.07267 0.0224948i
\(295\) −0.0308387 + 0.0275802i −0.00179550 + 0.00160578i
\(296\) 5.56688 3.46228i 0.323568 0.201241i
\(297\) −7.62256 13.2027i −0.442306 0.766096i
\(298\) 0.571791 3.46382i 0.0331229 0.200653i
\(299\) 5.11269 + 2.95181i 0.295675 + 0.170708i
\(300\) 18.5162 1.57692i 1.06903 0.0910435i
\(301\) −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
\(304\) −16.2232 + 21.1468i −0.930465 + 1.21285i
\(305\) 1.25360 3.81453i 0.0717810 0.218419i
\(306\) 0.733125 + 1.94772i 0.0419100 + 0.111344i
\(307\) 15.5134 0.885395 0.442697 0.896671i \(-0.354022\pi\)
0.442697 + 0.896671i \(0.354022\pi\)
\(308\) 11.7250 12.3730i 0.668092 0.705015i
\(309\) 0.930357i 0.0529262i
\(310\) −7.57121 + 14.5033i −0.430016 + 0.823732i
\(311\) 4.58870 + 7.94786i 0.260201 + 0.450682i 0.966295 0.257436i \(-0.0828778\pi\)
−0.706094 + 0.708118i \(0.749544\pi\)
\(312\) −3.51436 + 0.115309i −0.198961 + 0.00652806i
\(313\) −16.2088 + 28.0744i −0.916175 + 1.58686i −0.111002 + 0.993820i \(0.535406\pi\)
−0.805172 + 0.593041i \(0.797927\pi\)
\(314\) −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 \(-0.829651\pi\)
0.871752 + 0.489947i \(0.162984\pi\)
\(318\) 0.0674429 + 0.0111332i 0.00378201 + 0.000624317i
\(319\) −8.85371 + 5.11169i −0.495713 + 0.286200i
\(320\) −12.7734 12.5235i −0.714057 0.700088i
\(321\) 34.4729i 1.92409i
\(322\) −18.5053 + 27.3466i −1.03126 + 1.52396i
\(323\) 21.6282i 1.20343i
\(324\) −19.2316 6.52720i −1.06842 0.362622i
\(325\) −1.33993 3.06480i −0.0743260 0.170004i
\(326\) 0.990897 6.00269i 0.0548807 0.332458i
\(327\) 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
\(330\) 18.9135 0.803922i 1.04115 0.0442545i
\(331\) 14.7269 25.5078i 0.809465 1.40203i −0.103770 0.994601i \(-0.533091\pi\)
0.913235 0.407433i \(-0.133576\pi\)
\(332\) 9.92855 8.70797i 0.544900 0.477912i
\(333\) 0.525405 + 0.910027i 0.0287920 + 0.0498692i
\(334\) 5.13675 1.93348i 0.281071 0.105795i
\(335\) 7.97783 7.13488i 0.435875 0.389820i
\(336\) 0.757316 19.6521i 0.0413150 1.07211i
\(337\) 0.726788i 0.0395906i 0.999804 + 0.0197953i \(0.00630146\pi\)
−0.999804 + 0.0197953i \(0.993699\pi\)
\(338\) −6.25351 16.6139i −0.340146 0.903678i
\(339\) 11.1797 6.45459i 0.607197 0.350565i
\(340\) 14.4098 + 1.75390i 0.781480 + 0.0951186i
\(341\) −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
\(346\) 3.82898 23.1953i 0.205847 1.24699i
\(347\) 14.4004 8.31409i 0.773056 0.446324i −0.0609078 0.998143i \(-0.519400\pi\)
0.833964 + 0.551819i \(0.186066\pi\)
\(348\) −3.79087 + 11.1694i −0.203212 + 0.598741i
\(349\) 33.3428 1.78480 0.892401 0.451244i \(-0.149020\pi\)
0.892401 + 0.451244i \(0.149020\pi\)
\(350\) 17.6321 6.25384i 0.942473 0.334282i
\(351\) 3.16593i 0.168985i
\(352\) −12.4587 13.2987i −0.664050 0.708823i
\(353\) −4.25151 7.36384i −0.226285 0.391938i 0.730419 0.682999i \(-0.239325\pi\)
−0.956704 + 0.291062i \(0.905991\pi\)
\(354\) −0.00791970 + 0.0479763i −0.000420927 + 0.00254991i
\(355\) 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 \(-0.00365922\pi\)
0.490012 + 0.871716i \(0.336993\pi\)
\(360\) 2.07345 1.98051i 0.109280 0.104382i
\(361\) 12.6994 + 21.9960i 0.668389 + 1.15768i
\(362\) 3.73786 + 9.93051i 0.196458 + 0.521936i
\(363\) −1.15714 −0.0607340
\(364\) −3.39343 + 1.00778i −0.177864 + 0.0528219i
\(365\) 18.7921 + 21.0123i 0.983625 + 1.09984i
\(366\) −1.66243 4.41663i −0.0868964 0.230861i
\(367\) 3.02375 1.74576i 0.157838 0.0911280i −0.419000 0.907986i \(-0.637619\pi\)
0.576839 + 0.816858i \(0.304286\pi\)
\(368\) 28.0069 + 21.4860i 1.45996 + 1.12004i
\(369\) −3.67067 2.11926i −0.191087 0.110324i
\(370\) 7.32292 0.311262i 0.380700 0.0161817i
\(371\) 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 0.356165 + 0.934423i \(0.384084\pi\)
−0.987317 + 0.158763i \(0.949249\pi\)
\(374\) 14.5900 + 2.40845i 0.754431 + 0.124538i
\(375\) 18.8943 + 8.64152i 0.975698 + 0.446246i
\(376\) −5.39560 8.67540i −0.278257 0.447400i
\(377\) 2.12308 0.109344
\(378\) −17.6623 1.26174i −0.908449 0.0648971i
\(379\) −33.6902 −1.73055 −0.865274 0.501299i \(-0.832856\pi\)
−0.865274 + 0.501299i \(0.832856\pi\)
\(380\) −27.4178 + 11.6722i −1.40650 + 0.598773i
\(381\) −5.15352 8.92617i −0.264023 0.457301i
\(382\) 3.25304 19.7064i 0.166440 1.00827i
\(383\) 12.7966 + 7.38811i 0.653875 + 0.377515i 0.789939 0.613185i \(-0.210112\pi\)
−0.136064 + 0.990700i \(0.543445\pi\)
\(384\) −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
\(388\) −18.2990 + 16.0494i −0.928992 + 0.814785i
\(389\) −0.178263 + 0.102920i −0.00903829 + 0.00521826i −0.504512 0.863404i \(-0.668328\pi\)
0.495474 + 0.868623i \(0.334994\pi\)
\(390\) −3.48500 1.81929i −0.176470 0.0921233i
\(391\) −28.6445 −1.44861
\(392\) −4.26983 19.3331i −0.215659 0.976469i
\(393\) 2.99894i 0.151277i
\(394\) 3.30382 + 8.77739i 0.166444 + 0.442199i
\(395\) 33.1896 + 10.9074i 1.66995 + 0.548810i
\(396\) 2.19597 1.92601i 0.110352 0.0967856i
\(397\) −4.39175 2.53558i −0.220416 0.127257i 0.385727 0.922613i \(-0.373951\pi\)
−0.606143 + 0.795356i \(0.707284\pi\)
\(398\) 3.19635 3.89496i 0.160219 0.195237i
\(399\) −29.7605 13.6962i −1.48989 0.685668i
\(400\) −5.55321 19.2136i −0.277661 0.960679i
\(401\) −9.62688 + 16.6743i −0.480744 + 0.832672i −0.999756 0.0220944i \(-0.992967\pi\)
0.519012 + 0.854767i \(0.326300\pi\)
\(402\) 2.04879 12.4112i 0.102184 0.619016i
\(403\) 2.99739 1.73054i 0.149311 0.0862045i
\(404\) 26.7667 + 9.08459i 1.33169 + 0.451975i
\(405\) −15.1367 16.9250i −0.752148 0.841010i
\(406\) −0.846126 + 11.8443i −0.0419925 + 0.587824i
\(407\) 7.46653 0.370102
\(408\) 14.4875 9.01038i 0.717237 0.446080i
\(409\) −18.9967 + 10.9678i −0.939327 + 0.542321i −0.889749 0.456450i \(-0.849121\pi\)
−0.0495776 + 0.998770i \(0.515788\pi\)
\(410\) −24.9525 + 15.8561i −1.23232 + 0.783075i
\(411\) 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
\(416\) 0.859785 + 3.68536i 0.0421545 + 0.180690i
\(417\) 16.3001 9.41089i 0.798222 0.460853i
\(418\) −28.4100 + 10.6936i −1.38958 + 0.523039i
\(419\) 20.3822i 0.995734i 0.867253 + 0.497867i \(0.165883\pi\)
−0.867253 + 0.497867i \(0.834117\pi\)
\(420\) 11.5384 18.7172i 0.563019 0.913308i
\(421\) 21.2887i 1.03755i 0.854912 + 0.518774i \(0.173611\pi\)
−0.854912 + 0.518774i \(0.826389\pi\)
\(422\) 6.75494 + 17.9461i 0.328825 + 0.873602i
\(423\) 1.41818 0.818788i 0.0689544 0.0398108i
\(424\) −0.00241249 0.0735275i −0.000117161 0.00357081i
\(425\) 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
\(430\) −18.2701 + 11.6097i −0.881062 + 0.559871i
\(431\) −18.7227 + 10.8096i −0.901842 + 0.520679i −0.877797 0.479032i \(-0.840988\pi\)
−0.0240450 + 0.999711i \(0.507654\pi\)
\(432\) −2.46899 + 18.7682i −0.118790 + 0.902984i
\(433\) 29.8068 1.43243 0.716213 0.697882i \(-0.245874\pi\)
0.716213 + 0.697882i \(0.245874\pi\)
\(434\) 8.45988 + 17.4117i 0.406087 + 0.835788i
\(435\) −9.82972 + 8.79110i −0.471299 + 0.421501i
\(436\) 2.91657 8.59334i 0.139679 0.411546i
\(437\) 50.9239 29.4009i 2.43602 1.40644i
\(438\) 32.6892 + 5.39618i 1.56195 + 0.257840i
\(439\) −14.9755 + 25.9383i −0.714740 + 1.23797i 0.248320 + 0.968678i \(0.420122\pi\)
−0.963060 + 0.269288i \(0.913212\pi\)
\(440\) −4.82072 19.7953i −0.229819 0.943703i
\(441\) 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 −0.999533 0.0305429i \(-0.990276\pi\)
−0.526218 0.850350i \(-0.676390\pi\)
\(444\) 6.47640 5.68022i 0.307356 0.269571i
\(445\) 3.23004 + 1.06152i 0.153119 + 0.0503207i
\(446\) −23.1946 + 8.73048i −1.09830 + 0.413400i
\(447\) 4.61317i 0.218195i
\(448\) −20.9028 + 3.32786i −0.987563 + 0.157227i
\(449\) 17.1980 0.811625 0.405813 0.913956i \(-0.366989\pi\)
0.405813 + 0.913956i \(0.366989\pi\)
\(450\) 3.10725 0.788645i 0.146477 0.0371771i
\(451\) −26.0819 + 15.0584i −1.22815 + 0.709073i
\(452\) −9.16105 10.4451i −0.430899 0.491298i
\(453\) −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 0.286598 0.958051i \(-0.407476\pi\)
−0.686398 + 0.727226i \(0.740809\pi\)
\(458\) 26.0977 + 4.30809i 1.21947 + 0.201304i
\(459\) −7.68057 13.3031i −0.358498 0.620937i
\(460\) 15.4587 + 36.3122i 0.720767 + 1.69306i
\(461\) 19.0434 0.886938 0.443469 0.896290i \(-0.353748\pi\)
0.443469 + 0.896290i \(0.353748\pi\)
\(462\) 12.5532 18.5507i 0.584029 0.863058i
\(463\) 15.5965 0.724831 0.362415 0.932017i \(-0.381952\pi\)
0.362415 + 0.932017i \(0.381952\pi\)
\(464\) 12.5860 + 1.65571i 0.584288 + 0.0768644i
\(465\) −6.71202 + 20.4237i −0.311262 + 0.947127i
\(466\) −0.985057 + 5.96732i −0.0456319 + 0.276431i
\(467\) 11.3528 19.6636i 0.525343 0.909921i −0.474221 0.880406i \(-0.657270\pi\)
0.999564 0.0295151i \(-0.00939632\pi\)
\(468\) −0.594924 + 0.118368i −0.0275004 + 0.00547157i
\(469\) −1.16701 12.6100i −0.0538876 0.582274i
\(470\) −0.485069 11.4120i −0.0223746 0.526396i
\(471\) −8.47081 4.89062i −0.390314 0.225348i
\(472\) 0.0523046 0.00171615i 0.00240751 7.89921e-5i
\(473\) −19.0970 + 11.0257i −0.878083 + 0.506961i
\(474\) 38.4284 14.4645i 1.76508 0.664377i
\(475\) −33.1095 3.70506i −1.51917 0.170000i
\(476\) 11.8142 12.4671i 0.541503 0.571430i
\(477\) 0.0117920 0.000539917
\(478\) −33.2298 + 12.5078i −1.51990 + 0.572091i
\(479\) −17.2162 29.8193i −0.786626 1.36248i −0.928023 0.372523i \(-0.878493\pi\)
0.141397 0.989953i \(-0.454841\pi\)
\(480\) −19.2409 13.5029i −0.878221 0.616319i
\(481\) −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
\(486\) −6.52042 1.07636i −0.295772 0.0488247i
\(487\) −0.417834 0.723709i −0.0189338 0.0327944i 0.856403 0.516308i \(-0.172694\pi\)
−0.875337 + 0.483513i \(0.839361\pi\)
\(488\) −4.31283 + 2.68233i −0.195233 + 0.121424i
\(489\) 7.99448i 0.361523i
\(490\) 6.46865 21.1697i 0.292224 0.956350i
\(491\) 28.3101 1.27762 0.638809 0.769365i \(-0.279427\pi\)
0.638809 + 0.769365i \(0.279427\pi\)
\(492\) −11.1674 + 32.9036i −0.503467 + 1.48341i
\(493\) −8.92109 + 5.15060i −0.401786 + 0.231971i
\(494\) 6.21980 + 1.02673i 0.279842 + 0.0461950i
\(495\) 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 −0.812595 0.582829i \(-0.801946\pi\)
0.911042 + 0.412313i \(0.135279\pi\)
\(500\) 5.15345 21.7587i 0.230469 0.973080i
\(501\) 6.24594 3.60609i 0.279048 0.161108i
\(502\) 13.5950 5.11719i 0.606776 0.228391i
\(503\) 21.2435i 0.947200i −0.880740 0.473600i \(-0.842954\pi\)
0.880740 0.473600i \(-0.157046\pi\)
\(504\) −0.423259 3.36617i −0.0188535 0.149941i
\(505\) 21.0673 + 23.5563i 0.937482 + 1.04824i
\(506\) 14.1626 + 37.6263i 0.629604 + 1.67269i
\(507\) −11.6633 20.2014i −0.517984 0.897174i
\(508\) −8.33968 + 7.31443i −0.370014 + 0.324526i
\(509\) 4.64622 8.04750i 0.205940 0.356699i −0.744492 0.667632i \(-0.767308\pi\)
0.950432 + 0.310933i \(0.100641\pi\)
\(510\) 19.0574 0.810041i 0.843878 0.0358692i
\(511\) 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
\(514\) 12.3573 + 2.03989i 0.545057 + 0.0899755i
\(515\) 1.06351 + 0.349511i 0.0468640 + 0.0154013i
\(516\) −8.17674 + 24.0918i −0.359961 + 1.06058i
\(517\) 11.6358i 0.511742i
\(518\) 4.86035 7.18246i 0.213552 0.315579i
\(519\) 30.8919i 1.35601i
\(520\) −1.18844 + 4.06067i −0.0521167 + 0.178072i
\(521\) 19.2972 11.1412i 0.845425 0.488106i −0.0136798 0.999906i \(-0.504355\pi\)
0.859104 + 0.511800i \(0.171021\pi\)
\(522\) −0.331405 + 2.00760i −0.0145052 + 0.0878702i
\(523\) 1.18906 2.05951i 0.0519939 0.0900560i −0.838857 0.544352i \(-0.816776\pi\)
0.890851 + 0.454296i \(0.150109\pi\)
\(524\) −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
\(528\) −18.9987 14.5752i −0.826811 0.634305i
\(529\) −27.4386 47.5251i −1.19298 2.06631i
\(530\) 0.0380632 0.0729132i 0.00165336 0.00316715i
\(531\) 0.00838834i 0.000364023i
\(532\) −8.20683 + 34.2901i −0.355811 + 1.48667i
\(533\) 6.25432 0.270905
\(534\) 3.73988 1.40770i 0.161841 0.0609170i
\(535\) −39.4068 12.9506i −1.70370 0.559903i
\(536\) −13.5309 + 0.443959i −0.584448 + 0.0191761i
\(537\) 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
\(540\) −12.7192 + 16.9159i −0.547346 + 0.727945i
\(541\) −18.1918 10.5031i −0.782128 0.451562i 0.0550562 0.998483i \(-0.482466\pi\)
−0.837184 + 0.546922i \(0.815800\pi\)
\(542\) −14.5054 2.39448i −0.623060 0.102852i
\(543\) 6.97140 + 12.0748i 0.299171 + 0.518180i
\(544\) −12.5535 13.3999i −0.538227 0.574517i
\(545\) 7.56266 6.76358i 0.323949 0.289720i
\(546\) −4.18386 + 2.03283i −0.179053 + 0.0869969i
\(547\) 14.9270i 0.638234i −0.947715 0.319117i \(-0.896614\pi\)
0.947715 0.319117i \(-0.103386\pi\)
\(548\) 5.38519 15.8668i 0.230044 0.677798i
\(549\) −0.407047 0.705026i −0.0173723 0.0300898i
\(550\) 6.18633 21.9225i 0.263786 0.934778i
\(551\) 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
\(556\) −13.3570 15.2292i −0.566461 0.645861i
\(557\) −1.63827 2.83757i −0.0694157 0.120232i 0.829229 0.558910i \(-0.188780\pi\)
−0.898644 + 0.438678i \(0.855447\pi\)
\(558\) 1.16853 + 3.10449i 0.0494680 + 0.131423i
\(559\) 4.57938 0.193687
\(560\) −22.1802 8.24848i −0.937286 0.348562i
\(561\) 19.4312 0.820385
\(562\) 15.5265 + 41.2497i 0.654944 + 1.74001i
\(563\) 4.29192 + 7.43383i 0.180883 + 0.313299i 0.942181 0.335103i \(-0.108771\pi\)
−0.761298 + 0.648402i \(0.775438\pi\)
\(564\) −8.85202 10.0928i −0.372737 0.424983i
\(565\) −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 0.458470 + 0.888710i \(0.348398\pi\)
−0.998880 + 0.0473086i \(0.984936\pi\)
\(570\) −33.0487 + 21.0008i −1.38426 + 0.879627i
\(571\) −15.5532 26.9389i −0.650881 1.12736i −0.982909 0.184089i \(-0.941066\pi\)
0.332029 0.943269i \(-0.392267\pi\)
\(572\) −1.38523 + 4.08142i −0.0579194 + 0.170653i
\(573\) 26.2453i 1.09641i
\(574\) −2.49258 + 34.8919i −0.104038 + 1.45636i
\(575\) −4.90699 + 43.8503i −0.204636 + 1.82869i
\(576\) −3.61912 + 0.237747i −0.150797 + 0.00990615i
\(577\) −10.1101 17.5112i −0.420889 0.729001i 0.575137 0.818057i \(-0.304949\pi\)
−0.996027 + 0.0890553i \(0.971615\pi\)
\(578\) −9.01958 1.48891i −0.375165 0.0619305i
\(579\) −13.1955 7.61844i −0.548387 0.316611i
\(580\) 11.3438 + 8.52948i 0.471027 + 0.354167i
\(581\) 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
\(584\) −1.16932 35.6384i −0.0483868 1.47473i
\(585\) −0.644282 0.211736i −0.0266378 0.00875420i
\(586\) 17.6563 6.64586i 0.729376 0.274538i
\(587\) −21.6836 −0.894976 −0.447488 0.894290i \(-0.647681\pi\)
−0.447488 + 0.894290i \(0.647681\pi\)
\(588\) −9.67341 24.1513i −0.398925 0.995982i
\(589\) 34.4734i 1.42045i
\(590\) 0.0518676 + 0.0270766i 0.00213535 + 0.00111473i
\(591\) 6.16188 + 10.6727i 0.253466 + 0.439016i
\(592\) −7.35589 5.64322i −0.302325 0.231935i
\(593\) −14.9180 + 25.8387i −0.612609 + 1.06107i 0.378190 + 0.925728i \(0.376547\pi\)
−0.990799 + 0.135342i \(0.956787\pi\)
\(594\) −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
\(598\) 1.35981 8.23751i 0.0556068 0.336857i
\(599\) 6.90813 3.98841i 0.282259 0.162962i −0.352187 0.935930i \(-0.614562\pi\)
0.634445 + 0.772968i \(0.281229\pi\)
\(600\) −11.3117 23.7217i −0.461799 0.968433i
\(601\) 42.8990i 1.74989i 0.484224 + 0.874944i \(0.339102\pi\)
−0.484224 + 0.874944i \(0.660898\pi\)
\(602\) −1.82506 + 25.5477i −0.0743837 + 1.04125i
\(603\) 2.17002i 0.0883702i
\(604\) −1.77349 + 5.22538i −0.0721623 + 0.212618i
\(605\) −0.434707 + 1.32275i −0.0176734 + 0.0537775i
\(606\) 36.6469 + 6.04950i 1.48868 + 0.245744i
\(607\) 24.6567 + 14.2355i 1.00078 + 0.577802i 0.908480 0.417929i \(-0.137244\pi\)
0.0923032 + 0.995731i \(0.470577\pi\)
\(608\) 36.0713 + 10.9372i 1.46288 + 0.443564i
\(609\) 1.43791 + 15.5371i 0.0582670 + 0.629596i
\(610\) −5.67328 + 0.241144i −0.229705 + 0.00976364i
\(611\) −1.20820 + 2.09266i −0.0488783 + 0.0846598i
\(612\) 2.21269 1.94067i 0.0894426 0.0784468i
\(613\) −13.6922 23.7156i −0.553022 0.957863i −0.998054 0.0623483i \(-0.980141\pi\)
0.445032 0.895515i \(-0.353192\pi\)
\(614\) −7.72860 20.5329i −0.311901 0.828639i
\(615\) −28.9571 + 25.8975i −1.16766 + 1.04429i
\(616\) −22.2176 9.35461i −0.895172 0.376908i
\(617\) 26.4349i 1.06423i −0.846673 0.532114i \(-0.821398\pi\)
0.846673 0.532114i \(-0.178602\pi\)
\(618\) 1.23138 0.463494i 0.0495335 0.0186445i
\(619\) −6.44010 + 3.71819i −0.258850 + 0.149447i −0.623810 0.781576i \(-0.714416\pi\)
0.364960 + 0.931023i \(0.381083\pi\)
\(620\) 22.9679 + 2.79556i 0.922411 + 0.112272i
\(621\) 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
\(626\) 45.2332 + 7.46689i 1.80788 + 0.298437i
\(627\) −34.5446 + 19.9443i −1.37958 + 0.796500i
\(628\) −3.38329 + 9.96847i −0.135008 + 0.397785i
\(629\) 7.52335 0.299976
\(630\) 1.43801 3.50997i 0.0572919 0.139841i
\(631\) 23.0524i 0.917701i −0.888514 0.458850i \(-0.848261\pi\)
0.888514 0.458850i \(-0.151739\pi\)
\(632\) −23.3386 37.5253i −0.928359 1.49268i
\(633\) 12.5985 + 21.8212i 0.500744 + 0.867315i
\(634\) −0.574827 0.0948897i −0.0228293 0.00376855i
\(635\) −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
\(640\) −10.2121 + 23.1455i −0.403667 + 0.914906i
\(641\) 4.04336 + 7.00330i 0.159703 + 0.276614i 0.934762 0.355276i \(-0.115613\pi\)
−0.775059 + 0.631889i \(0.782280\pi\)
\(642\) −45.6269 + 17.1740i −1.80075 + 0.677805i
\(643\) 22.3144 0.879995 0.439998 0.897999i \(-0.354979\pi\)
0.439998 + 0.897999i \(0.354979\pi\)
\(644\) 45.4139 + 10.8691i 1.78956 + 0.428304i
\(645\) −21.2023 + 18.9620i −0.834838 + 0.746628i
\(646\) −28.6262 + 10.7750i −1.12628 + 0.423935i
\(647\) −1.37529 + 0.794021i −0.0540681 + 0.0312162i −0.526790 0.849995i \(-0.676605\pi\)
0.472722 + 0.881211i \(0.343271\pi\)
\(648\) 0.941863 + 28.7060i 0.0369999 + 1.12768i
\(649\) 0.0516180 + 0.0298017i 0.00202618 + 0.00116982i
\(650\) −3.38890 + 3.30033i −0.132923 + 0.129449i
\(651\) 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 0.00782554 0.999969i \(-0.497509\pi\)
0.862086 0.506762i \(-0.169158\pi\)
\(654\) 1.94217 11.7654i 0.0759449 0.460062i
\(655\) −3.42816 1.12663i −0.133949 0.0440209i
\(656\) 37.0767 + 4.87751i 1.44760 + 0.190435i
\(657\) 5.71550 0.222983
\(658\) −11.1931 7.57435i −0.436353 0.295279i
\(659\) 6.14200 0.239259 0.119629 0.992819i \(-0.461829\pi\)
0.119629 + 0.992819i \(0.461829\pi\)
\(660\) −10.4865 24.6326i −0.408188 0.958823i
\(661\) −4.19173 7.26029i −0.163039 0.282393i 0.772918 0.634506i \(-0.218796\pi\)
−0.935957 + 0.352114i \(0.885463\pi\)
\(662\) −41.0978 6.78424i −1.59731 0.263677i
\(663\) −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
\(668\) −5.11815 5.83555i −0.198027 0.225784i
\(669\) −28.2030 + 16.2830i −1.09039 + 0.629538i
\(670\) −13.4179 7.00460i −0.518379 0.270611i
\(671\) −5.78454 −0.223310
\(672\) −26.3879 + 8.78810i −1.01794 + 0.339008i
\(673\) 5.56001i 0.214323i 0.994242 + 0.107161i \(0.0341761\pi\)
−0.994242 + 0.107161i \(0.965824\pi\)
\(674\) 0.961946 0.362078i 0.0370528 0.0139467i
\(675\) −21.6808 + 9.47887i −0.834495 + 0.364842i
\(676\) −18.8741 + 16.5538i −0.725926 + 0.636683i
\(677\) −13.5074 7.79851i −0.519132 0.299721i 0.217447 0.976072i \(-0.430227\pi\)
−0.736579 + 0.676351i \(0.763560\pi\)
\(678\) −14.1126 11.5813i −0.541992 0.444779i
\(679\) −13.4612 + 29.2500i −0.516594 + 1.12251i
\(680\) −4.85741 19.9460i −0.186273 0.764892i
\(681\) −10.1755 + 17.6245i −0.389926 + 0.675371i
\(682\) 23.2551 + 3.83885i 0.890484 + 0.146997i
\(683\) −13.9790 + 8.07076i −0.534890 + 0.308819i −0.743006 0.669285i \(-0.766600\pi\)
0.208115 + 0.978104i \(0.433267\pi\)
\(684\) −1.94178 + 5.72122i −0.0742457 + 0.218756i
\(685\) 13.9638 12.4883i 0.533529 0.477155i
\(686\) −15.5753 21.0573i −0.594666 0.803973i
\(687\) 34.7574 1.32608
\(688\) 27.1473 + 3.57129i 1.03498 + 0.136154i
\(689\) −0.0150689 + 0.00870005i −0.000574081 + 0.000331446i
\(690\) 27.8135 + 43.7698i 1.05884 + 1.66629i
\(691\) 12.5750 + 7.26020i 0.478377 + 0.276191i 0.719740 0.694244i \(-0.244261\pi\)
−0.241363 + 0.970435i \(0.577594\pi\)
\(692\) −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
\(696\) 16.6719 0.547016i 0.631946 0.0207346i
\(697\) −26.2804 + 15.1730i −0.995442 + 0.574719i
\(698\) −16.6111 44.1312i −0.628738 1.67039i
\(699\) 7.94737i 0.300597i
\(700\) −17.0614 20.2215i −0.644861 0.764300i
\(701\) 50.0391i 1.88995i 0.327140 + 0.944976i \(0.393915\pi\)
−0.327140 + 0.944976i \(0.606085\pi\)
\(702\) 4.19030 1.57723i 0.158153 0.0595289i
\(703\) −13.3749 + 7.72203i −0.504446 + 0.291242i
\(704\) −11.3948 + 23.1151i −0.429459 + 0.871182i
\(705\) −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 \(-0.154190\pi\)
0.0391872 + 0.999232i \(0.487523\pi\)
\(710\) 21.7147 13.7986i 0.814939 0.517853i
\(711\) 6.13432 3.54165i 0.230055 0.132822i
\(712\) −2.27133 3.65199i −0.0851216 0.136864i
\(713\) −45.6567 −1.70986
\(714\) 12.6488 18.6919i 0.473369 0.699528i
\(715\) −3.59190 + 3.21237i −0.134329 + 0.120136i
\(716\) −30.1480 10.2322i −1.12669 0.382396i
\(717\) −40.4051 + 23.3279i −1.50896 + 0.871197i
\(718\) 7.50838 45.4846i 0.280210 1.69747i
\(719\) −6.99938 + 12.1233i −0.261033 + 0.452122i −0.966517 0.256604i \(-0.917396\pi\)
0.705484 + 0.708726i \(0.250730\pi\)
\(720\) −3.65429 1.75766i −0.136187 0.0655040i
\(721\) 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
\(724\) 11.2815 9.89455i 0.419272 0.367728i
\(725\) 6.35654 + 14.5392i 0.236076 + 0.539971i
\(726\) 0.576474 + 1.53154i 0.0213950 + 0.0568408i
\(727\) 27.8172i 1.03168i 0.856684 + 0.515842i \(0.172521\pi\)
−0.856684 + 0.515842i \(0.827479\pi\)
\(728\) 3.02442 + 3.98934i 0.112093 + 0.147855i
\(729\) 21.7797 0.806654
\(730\) 18.4490 35.3406i 0.682828 1.30801i
\(731\) −19.2424 + 11.1096i −0.711705 + 0.410903i
\(732\) −5.01746 + 4.40064i −0.185451 + 0.162652i
\(733\) 40.1317 + 23.1700i 1.48230 + 0.855804i 0.999798 0.0200925i \(-0.00639608\pi\)
0.482498 + 0.875897i \(0.339729\pi\)
\(734\) −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
\(738\) −0.976278 + 5.91413i −0.0359373 + 0.217702i
\(739\) −4.81690 8.34311i −0.177192 0.306906i 0.763725 0.645541i \(-0.223368\pi\)
−0.940918 + 0.338635i \(0.890035\pi\)
\(740\) −4.06017 9.53724i −0.149255 0.350596i
\(741\) 8.28362 0.304307
\(742\) −0.0425308 0.0875347i −0.00156135 0.00321350i
\(743\) −32.6002 −1.19599 −0.597993 0.801501i \(-0.704035\pi\)
−0.597993 + 0.801501i \(0.704035\pi\)
\(744\) 23.0917 14.3617i 0.846583 0.526526i
\(745\) −5.27342 1.73305i −0.193203 0.0634940i
\(746\) 34.0169 + 5.61535i 1.24545 + 0.205593i
\(747\) 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
\(750\) 2.02462 29.3128i 0.0739287 1.07035i
\(751\) −4.64496 2.68177i −0.169497 0.0978591i 0.412852 0.910798i \(-0.364533\pi\)
−0.582349 + 0.812939i \(0.697866\pi\)
\(752\) −8.79437 + 11.4634i −0.320698 + 0.418027i
\(753\) 16.5306 9.54396i 0.602409 0.347801i
\(754\) −1.05769 2.81002i −0.0385190 0.102335i
\(755\) −4.59865 + 4.11275i −0.167362 + 0.149678i
\(756\) 7.12917 + 24.0056i 0.259285 + 0.873077i
\(757\) 14.4301 0.524470 0.262235 0.965004i \(-0.415540\pi\)
0.262235 + 0.965004i \(0.415540\pi\)
\(758\) 16.7841 + 44.5909i 0.609626 + 1.61962i
\(759\) 26.4143 + 45.7509i 0.958778 + 1.66065i
\(760\) 29.1081 + 30.4740i 1.05586 + 1.10541i
\(761\) −14.5866 8.42159i −0.528765 0.305283i 0.211748 0.977324i \(-0.432084\pi\)
−0.740513 + 0.672042i \(0.765418\pi\)
\(762\) −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
\(766\) 3.40347 20.6177i 0.122973 0.744948i
\(767\) −0.00618888 0.0107195i −0.000223467 0.000387057i
\(768\) 7.70118 + 28.7185i 0.277892 + 1.03629i
\(769\) 53.2864i 1.92156i 0.277315 + 0.960779i \(0.410555\pi\)
−0.277315 + 0.960779i \(0.589445\pi\)
\(770\) −16.4899 21.3189i −0.594253 0.768281i
\(771\) 16.4577 0.592708
\(772\) −5.27036 + 15.5285i −0.189685 + 0.558883i
\(773\) 0.228998 0.132212i 0.00823647 0.00475533i −0.495876 0.868393i \(-0.665153\pi\)
0.504113 + 0.863638i \(0.331820\pi\)
\(7