Properties

Label 280.2.bj.f.171.6
Level $280$
Weight $2$
Character 280.171
Analytic conductor $2.236$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 171.6
Character \(\chi\) \(=\) 280.171
Dual form 280.2.bj.f.131.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.314756 + 1.37874i) q^{2} +(-2.66758 - 1.54013i) q^{3} +(-1.80186 + 0.867935i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(1.28380 - 4.16266i) q^{6} +(2.53597 + 0.754231i) q^{7} +(-1.76380 - 2.21111i) q^{8} +(3.24397 + 5.61873i) q^{9} +O(q^{10})\) \(q+(0.314756 + 1.37874i) q^{2} +(-2.66758 - 1.54013i) q^{3} +(-1.80186 + 0.867935i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(1.28380 - 4.16266i) q^{6} +(2.53597 + 0.754231i) q^{7} +(-1.76380 - 2.21111i) q^{8} +(3.24397 + 5.61873i) q^{9} +(1.03665 - 0.961958i) q^{10} +(-1.64217 + 2.84433i) q^{11} +(6.14332 + 0.459804i) q^{12} +6.72078 q^{13} +(-0.241678 + 3.73384i) q^{14} +3.08025i q^{15} +(2.49338 - 3.12779i) q^{16} +(3.32426 + 1.91926i) q^{17} +(-6.72571 + 6.24113i) q^{18} +(-0.618548 + 0.357119i) q^{19} +(1.65258 + 1.12649i) q^{20} +(-5.60328 - 5.91768i) q^{21} +(-4.43848 - 1.36886i) q^{22} +(1.09312 - 0.631110i) q^{23} +(1.29970 + 8.61478i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(2.11541 + 9.26622i) q^{26} -10.7438i q^{27} +(-5.22408 + 0.842039i) q^{28} +3.04491i q^{29} +(-4.24687 + 0.969528i) q^{30} +(0.0335679 - 0.0581414i) q^{31} +(5.09722 + 2.45323i) q^{32} +(8.76124 - 5.05831i) q^{33} +(-1.59984 + 5.18740i) q^{34} +(-0.614801 - 2.57333i) q^{35} +(-10.7219 - 7.30859i) q^{36} +(-0.498735 + 0.287945i) q^{37} +(-0.687067 - 0.740413i) q^{38} +(-17.9282 - 10.3508i) q^{39} +(-1.03297 + 2.63305i) q^{40} -0.230821i q^{41} +(6.39528 - 9.58810i) q^{42} +10.0631 q^{43} +(0.490271 - 6.55037i) q^{44} +(3.24397 - 5.61873i) q^{45} +(1.21420 + 1.30848i) q^{46} +(-4.23402 - 7.33354i) q^{47} +(-11.4685 + 4.50350i) q^{48} +(5.86227 + 3.82541i) q^{49} +(-1.35140 - 0.416784i) q^{50} +(-5.91181 - 10.2396i) q^{51} +(-12.1099 + 5.83320i) q^{52} +(2.16915 + 1.25236i) q^{53} +(14.8129 - 3.38166i) q^{54} +3.28435 q^{55} +(-2.80526 - 6.93761i) q^{56} +2.20003 q^{57} +(-4.19815 + 0.958404i) q^{58} +(0.986424 + 0.569512i) q^{59} +(-2.67346 - 5.55017i) q^{60} +(-0.0888960 - 0.153972i) q^{61} +(0.0907277 + 0.0279812i) q^{62} +(3.98880 + 16.6956i) q^{63} +(-1.77799 + 7.79992i) q^{64} +(-3.36039 - 5.82037i) q^{65} +(9.73175 + 10.4874i) q^{66} +(-6.92927 + 12.0019i) q^{67} +(-7.65564 - 0.572996i) q^{68} -3.88796 q^{69} +(3.35444 - 1.65762i) q^{70} +12.0720i q^{71} +(6.70188 - 17.0831i) q^{72} +(-3.89739 - 2.25016i) q^{73} +(-0.553982 - 0.596995i) q^{74} +(2.66758 - 1.54013i) q^{75} +(0.804579 - 1.18034i) q^{76} +(-6.30978 + 5.97455i) q^{77} +(8.62814 - 27.9763i) q^{78} +(9.66655 - 5.58099i) q^{79} +(-3.95543 - 0.595434i) q^{80} +(-6.81481 + 11.8036i) q^{81} +(0.318243 - 0.0726525i) q^{82} -3.24478i q^{83} +(15.2325 + 5.79953i) q^{84} -3.83853i q^{85} +(3.16744 + 13.8745i) q^{86} +(4.68955 - 8.12253i) q^{87} +(9.18558 - 1.38581i) q^{88} +(-13.3148 + 7.68732i) q^{89} +(8.76784 + 2.70407i) q^{90} +(17.0437 + 5.06902i) q^{91} +(-1.42187 + 2.08592i) q^{92} +(-0.179090 + 0.103398i) q^{93} +(8.77837 - 8.14590i) q^{94} +(0.618548 + 0.357119i) q^{95} +(-9.81893 - 14.3945i) q^{96} -5.76555i q^{97} +(-3.42907 + 9.28663i) q^{98} -21.3087 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q + 3q^{2} + 12q^{3} + q^{4} - 12q^{5} - 2q^{6} + 10q^{7} - 6q^{8} + 12q^{9} + O(q^{10}) \) \( 24q + 3q^{2} + 12q^{3} + q^{4} - 12q^{5} - 2q^{6} + 10q^{7} - 6q^{8} + 12q^{9} - 3q^{10} + 8q^{11} + 10q^{12} + 20q^{13} + 5q^{14} - 3q^{16} + 6q^{17} + 3q^{18} + 18q^{19} - 2q^{20} - 26q^{21} - 16q^{22} + 18q^{23} - 18q^{24} - 12q^{25} - 37q^{26} - 41q^{28} - 8q^{30} - 6q^{31} + 3q^{32} + 12q^{33} - 20q^{34} - 8q^{35} - 22q^{36} + 15q^{38} - 18q^{39} + 3q^{40} - 12q^{42} + 32q^{43} + 35q^{44} + 12q^{45} - 49q^{46} - 14q^{48} + 8q^{49} - 22q^{51} - 41q^{52} + 30q^{53} + 104q^{54} - 16q^{55} + 44q^{56} - 44q^{57} - 54q^{58} - 18q^{59} - 8q^{60} + 22q^{61} + 8q^{62} - 12q^{63} + 58q^{64} - 10q^{65} + 8q^{66} - 8q^{67} + 18q^{68} - 12q^{69} - q^{70} - 17q^{72} + 30q^{73} + 53q^{74} - 12q^{75} + 8q^{76} - 32q^{77} - 8q^{78} + 6q^{79} - 3q^{80} - 4q^{81} - 57q^{82} + 42q^{86} + 14q^{87} - 17q^{88} - 60q^{89} + 24q^{90} + 18q^{91} - 38q^{92} - 18q^{93} + 19q^{94} - 18q^{95} - 74q^{96} + 3q^{98} - 56q^{99} + O(q^{100}) \)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.314756 + 1.37874i 0.222566 + 0.974918i
\(3\) −2.66758 1.54013i −1.54013 0.889192i −0.998830 0.0483596i \(-0.984601\pi\)
−0.541296 0.840832i \(-0.682066\pi\)
\(4\) −1.80186 + 0.867935i −0.900929 + 0.433967i
\(5\) −0.500000 0.866025i −0.223607 0.387298i
\(6\) 1.28380 4.16266i 0.524109 1.69940i
\(7\) 2.53597 + 0.754231i 0.958506 + 0.285072i
\(8\) −1.76380 2.21111i −0.623599 0.781745i
\(9\) 3.24397 + 5.61873i 1.08132 + 1.87291i
\(10\) 1.03665 0.961958i 0.327817 0.304198i
\(11\) −1.64217 + 2.84433i −0.495134 + 0.857597i −0.999984 0.00560987i \(-0.998214\pi\)
0.504850 + 0.863207i \(0.331548\pi\)
\(12\) 6.14332 + 0.459804i 1.77342 + 0.132734i
\(13\) 6.72078 1.86401 0.932005 0.362446i \(-0.118058\pi\)
0.932005 + 0.362446i \(0.118058\pi\)
\(14\) −0.241678 + 3.73384i −0.0645911 + 0.997912i
\(15\) 3.08025i 0.795317i
\(16\) 2.49338 3.12779i 0.623345 0.781947i
\(17\) 3.32426 + 1.91926i 0.806252 + 0.465490i 0.845652 0.533734i \(-0.179212\pi\)
−0.0394009 + 0.999223i \(0.512545\pi\)
\(18\) −6.72571 + 6.24113i −1.58527 + 1.47105i
\(19\) −0.618548 + 0.357119i −0.141905 + 0.0819287i −0.569271 0.822150i \(-0.692775\pi\)
0.427367 + 0.904078i \(0.359441\pi\)
\(20\) 1.65258 + 1.12649i 0.369529 + 0.251890i
\(21\) −5.60328 5.91768i −1.22274 1.29134i
\(22\) −4.43848 1.36886i −0.946286 0.291843i
\(23\) 1.09312 0.631110i 0.227930 0.131596i −0.381687 0.924292i \(-0.624657\pi\)
0.609617 + 0.792696i \(0.291323\pi\)
\(24\) 1.29970 + 8.61478i 0.265299 + 1.75848i
\(25\) −0.500000 + 0.866025i −0.100000 + 0.173205i
\(26\) 2.11541 + 9.26622i 0.414866 + 1.81726i
\(27\) 10.7438i 2.06764i
\(28\) −5.22408 + 0.842039i −0.987258 + 0.159130i
\(29\) 3.04491i 0.565426i 0.959205 + 0.282713i \(0.0912344\pi\)
−0.959205 + 0.282713i \(0.908766\pi\)
\(30\) −4.24687 + 0.969528i −0.775369 + 0.177011i
\(31\) 0.0335679 0.0581414i 0.00602898 0.0104425i −0.862995 0.505212i \(-0.831414\pi\)
0.869024 + 0.494770i \(0.164748\pi\)
\(32\) 5.09722 + 2.45323i 0.901070 + 0.433674i
\(33\) 8.76124 5.05831i 1.52514 0.880538i
\(34\) −1.59984 + 5.18740i −0.274370 + 0.889631i
\(35\) −0.614801 2.57333i −0.103920 0.434972i
\(36\) −10.7219 7.30859i −1.78698 1.21810i
\(37\) −0.498735 + 0.287945i −0.0819916 + 0.0473379i −0.540435 0.841386i \(-0.681740\pi\)
0.458444 + 0.888723i \(0.348407\pi\)
\(38\) −0.687067 0.740413i −0.111457 0.120111i
\(39\) −17.9282 10.3508i −2.87081 1.65746i
\(40\) −1.03297 + 2.63305i −0.163327 + 0.416322i
\(41\) 0.230821i 0.0360483i −0.999838 0.0180241i \(-0.994262\pi\)
0.999838 0.0180241i \(-0.00573757\pi\)
\(42\) 6.39528 9.58810i 0.986814 1.47948i
\(43\) 10.0631 1.53462 0.767308 0.641279i \(-0.221596\pi\)
0.767308 + 0.641279i \(0.221596\pi\)
\(44\) 0.490271 6.55037i 0.0739111 0.987506i
\(45\) 3.24397 5.61873i 0.483583 0.837591i
\(46\) 1.21420 + 1.30848i 0.179024 + 0.192925i
\(47\) −4.23402 7.33354i −0.617595 1.06971i −0.989923 0.141605i \(-0.954774\pi\)
0.372328 0.928101i \(-0.378560\pi\)
\(48\) −11.4685 + 4.50350i −1.65533 + 0.650024i
\(49\) 5.86227 + 3.82541i 0.837467 + 0.546487i
\(50\) −1.35140 0.416784i −0.191117 0.0589422i
\(51\) −5.91181 10.2396i −0.827819 1.43382i
\(52\) −12.1099 + 5.83320i −1.67934 + 0.808919i
\(53\) 2.16915 + 1.25236i 0.297955 + 0.172024i 0.641524 0.767103i \(-0.278303\pi\)
−0.343569 + 0.939128i \(0.611636\pi\)
\(54\) 14.8129 3.38166i 2.01578 0.460186i
\(55\) 3.28435 0.442861
\(56\) −2.80526 6.93761i −0.374869 0.927078i
\(57\) 2.20003 0.291401
\(58\) −4.19815 + 0.958404i −0.551243 + 0.125845i
\(59\) 0.986424 + 0.569512i 0.128422 + 0.0741442i 0.562835 0.826570i \(-0.309711\pi\)
−0.434413 + 0.900714i \(0.643044\pi\)
\(60\) −2.67346 5.55017i −0.345142 0.716524i
\(61\) −0.0888960 0.153972i −0.0113820 0.0197141i 0.860278 0.509825i \(-0.170290\pi\)
−0.871660 + 0.490111i \(0.836956\pi\)
\(62\) 0.0907277 + 0.0279812i 0.0115224 + 0.00355361i
\(63\) 3.98880 + 16.6956i 0.502541 + 2.10345i
\(64\) −1.77799 + 7.79992i −0.222249 + 0.974990i
\(65\) −3.36039 5.82037i −0.416805 0.721928i
\(66\) 9.73175 + 10.4874i 1.19790 + 1.29090i
\(67\) −6.92927 + 12.0019i −0.846545 + 1.46626i 0.0377270 + 0.999288i \(0.487988\pi\)
−0.884272 + 0.466971i \(0.845345\pi\)
\(68\) −7.65564 0.572996i −0.928382 0.0694859i
\(69\) −3.88796 −0.468055
\(70\) 3.35444 1.65762i 0.400933 0.198124i
\(71\) 12.0720i 1.43268i 0.697749 + 0.716342i \(0.254185\pi\)
−0.697749 + 0.716342i \(0.745815\pi\)
\(72\) 6.70188 17.0831i 0.789824 2.01326i
\(73\) −3.89739 2.25016i −0.456155 0.263361i 0.254271 0.967133i \(-0.418164\pi\)
−0.710426 + 0.703772i \(0.751498\pi\)
\(74\) −0.553982 0.596995i −0.0643991 0.0693992i
\(75\) 2.66758 1.54013i 0.308025 0.177838i
\(76\) 0.804579 1.18034i 0.0922916 0.135394i
\(77\) −6.30978 + 5.97455i −0.719066 + 0.680863i
\(78\) 8.62814 27.9763i 0.976944 3.16770i
\(79\) 9.66655 5.58099i 1.08757 0.627910i 0.154643 0.987970i \(-0.450577\pi\)
0.932929 + 0.360061i \(0.117244\pi\)
\(80\) −3.95543 0.595434i −0.442231 0.0665716i
\(81\) −6.81481 + 11.8036i −0.757202 + 1.31151i
\(82\) 0.318243 0.0726525i 0.0351441 0.00802312i
\(83\) 3.24478i 0.356161i −0.984016 0.178081i \(-0.943011\pi\)
0.984016 0.178081i \(-0.0569888\pi\)
\(84\) 15.2325 + 5.79953i 1.66200 + 0.632781i
\(85\) 3.83853i 0.416347i
\(86\) 3.16744 + 13.8745i 0.341554 + 1.49612i
\(87\) 4.68955 8.12253i 0.502772 0.870827i
\(88\) 9.18558 1.38581i 0.979187 0.147728i
\(89\) −13.3148 + 7.68732i −1.41137 + 0.814854i −0.995517 0.0945783i \(-0.969850\pi\)
−0.415852 + 0.909433i \(0.636516\pi\)
\(90\) 8.76784 + 2.70407i 0.924211 + 0.285034i
\(91\) 17.0437 + 5.06902i 1.78666 + 0.531378i
\(92\) −1.42187 + 2.08592i −0.148241 + 0.217473i
\(93\) −0.179090 + 0.103398i −0.0185708 + 0.0107218i
\(94\) 8.77837 8.14590i 0.905420 0.840185i
\(95\) 0.618548 + 0.357119i 0.0634617 + 0.0366396i
\(96\) −9.81893 14.3945i −1.00214 1.46914i
\(97\) 5.76555i 0.585403i −0.956204 0.292701i \(-0.905446\pi\)
0.956204 0.292701i \(-0.0945542\pi\)
\(98\) −3.42907 + 9.28663i −0.346388 + 0.938091i
\(99\) −21.3087 −2.14160
\(100\) 0.149275 1.99442i 0.0149275 0.199442i
\(101\) 5.65852 9.80085i 0.563044 0.975221i −0.434185 0.900824i \(-0.642963\pi\)
0.997229 0.0743970i \(-0.0237032\pi\)
\(102\) 12.2569 11.3738i 1.21362 1.12618i
\(103\) 0.346486 + 0.600132i 0.0341403 + 0.0591327i 0.882591 0.470142i \(-0.155797\pi\)
−0.848450 + 0.529275i \(0.822464\pi\)
\(104\) −11.8541 14.8604i −1.16239 1.45718i
\(105\) −2.32322 + 7.81142i −0.226723 + 0.762317i
\(106\) −1.04392 + 3.38488i −0.101395 + 0.328769i
\(107\) 2.55924 + 4.43274i 0.247411 + 0.428529i 0.962807 0.270191i \(-0.0870868\pi\)
−0.715396 + 0.698720i \(0.753753\pi\)
\(108\) 9.32488 + 19.3587i 0.897287 + 1.86279i
\(109\) −10.6122 6.12698i −1.01647 0.586858i −0.103389 0.994641i \(-0.532969\pi\)
−0.913079 + 0.407783i \(0.866302\pi\)
\(110\) 1.03377 + 4.52827i 0.0985659 + 0.431753i
\(111\) 1.77389 0.168370
\(112\) 8.68220 6.05139i 0.820391 0.571803i
\(113\) −6.58353 −0.619326 −0.309663 0.950846i \(-0.600216\pi\)
−0.309663 + 0.950846i \(0.600216\pi\)
\(114\) 0.692474 + 3.03328i 0.0648561 + 0.284092i
\(115\) −1.09312 0.631110i −0.101934 0.0588514i
\(116\) −2.64278 5.48649i −0.245376 0.509408i
\(117\) 21.8020 + 37.7622i 2.01560 + 3.49112i
\(118\) −0.474727 + 1.53928i −0.0437022 + 0.141702i
\(119\) 6.98265 + 7.37445i 0.640099 + 0.676015i
\(120\) 6.81077 5.43296i 0.621735 0.495959i
\(121\) 0.106534 + 0.184523i 0.00968495 + 0.0167748i
\(122\) 0.184308 0.171028i 0.0166864 0.0154842i
\(123\) −0.355494 + 0.615734i −0.0320538 + 0.0555188i
\(124\) −0.0100217 + 0.133897i −0.000899975 + 0.0120243i
\(125\) 1.00000 0.0894427
\(126\) −21.7635 + 10.7546i −1.93884 + 0.958093i
\(127\) 16.4627i 1.46083i −0.683004 0.730415i \(-0.739327\pi\)
0.683004 0.730415i \(-0.260673\pi\)
\(128\) −11.3137 + 0.00367857i −1.00000 + 0.000325143i
\(129\) −26.8442 15.4985i −2.36350 1.36457i
\(130\) 6.96708 6.46511i 0.611053 0.567027i
\(131\) −0.446341 + 0.257695i −0.0389970 + 0.0225149i −0.519372 0.854548i \(-0.673834\pi\)
0.480375 + 0.877063i \(0.340501\pi\)
\(132\) −11.3962 + 16.7185i −0.991914 + 1.45516i
\(133\) −1.83797 + 0.439114i −0.159372 + 0.0380760i
\(134\) −18.7285 5.77602i −1.61789 0.498972i
\(135\) −9.30437 + 5.37188i −0.800792 + 0.462338i
\(136\) −1.61965 10.7355i −0.138884 0.920562i
\(137\) 4.22144 7.31175i 0.360662 0.624685i −0.627408 0.778691i \(-0.715884\pi\)
0.988070 + 0.154006i \(0.0492175\pi\)
\(138\) −1.22376 5.36049i −0.104173 0.456315i
\(139\) 19.1037i 1.62036i 0.586182 + 0.810179i \(0.300630\pi\)
−0.586182 + 0.810179i \(0.699370\pi\)
\(140\) 3.34127 + 4.10316i 0.282388 + 0.346781i
\(141\) 26.0837i 2.19664i
\(142\) −16.6442 + 3.79974i −1.39675 + 0.318867i
\(143\) −11.0367 + 19.1161i −0.922934 + 1.59857i
\(144\) 25.6627 + 3.86315i 2.13855 + 0.321929i
\(145\) 2.63697 1.52246i 0.218988 0.126433i
\(146\) 1.87566 6.08174i 0.155231 0.503328i
\(147\) −9.74644 19.2332i −0.803873 1.58633i
\(148\) 0.648732 0.951705i 0.0533255 0.0782297i
\(149\) −5.64120 + 3.25695i −0.462145 + 0.266820i −0.712946 0.701219i \(-0.752639\pi\)
0.250801 + 0.968039i \(0.419306\pi\)
\(150\) 2.96307 + 3.19313i 0.241934 + 0.260718i
\(151\) 6.19052 + 3.57410i 0.503777 + 0.290856i 0.730272 0.683156i \(-0.239393\pi\)
−0.226495 + 0.974012i \(0.572727\pi\)
\(152\) 1.88063 + 0.737789i 0.152539 + 0.0598426i
\(153\) 24.9042i 2.01338i
\(154\) −10.2234 6.81903i −0.823825 0.549493i
\(155\) −0.0671359 −0.00539248
\(156\) 41.2879 + 3.09024i 3.30568 + 0.247418i
\(157\) 11.5674 20.0353i 0.923176 1.59899i 0.128706 0.991683i \(-0.458918\pi\)
0.794469 0.607304i \(-0.207749\pi\)
\(158\) 10.7373 + 11.5710i 0.854217 + 0.920541i
\(159\) −3.85757 6.68151i −0.305926 0.529879i
\(160\) −0.424047 5.64094i −0.0335239 0.445955i
\(161\) 3.24811 0.776015i 0.255987 0.0611585i
\(162\) −18.4191 5.68061i −1.44714 0.446311i
\(163\) −0.415413 0.719516i −0.0325376 0.0563568i 0.849298 0.527914i \(-0.177026\pi\)
−0.881836 + 0.471557i \(0.843692\pi\)
\(164\) 0.200338 + 0.415907i 0.0156438 + 0.0324769i
\(165\) −8.76124 5.05831i −0.682062 0.393789i
\(166\) 4.47372 1.02132i 0.347228 0.0792695i
\(167\) −3.59980 −0.278561 −0.139280 0.990253i \(-0.544479\pi\)
−0.139280 + 0.990253i \(0.544479\pi\)
\(168\) −3.20154 + 22.8271i −0.247004 + 1.76115i
\(169\) 32.1689 2.47453
\(170\) 5.29233 1.20820i 0.405904 0.0926647i
\(171\) −4.01311 2.31697i −0.306890 0.177183i
\(172\) −18.1324 + 8.73416i −1.38258 + 0.665973i
\(173\) −5.28828 9.15958i −0.402061 0.696390i 0.591914 0.806001i \(-0.298373\pi\)
−0.993974 + 0.109612i \(0.965039\pi\)
\(174\) 12.6749 + 3.90905i 0.960884 + 0.296345i
\(175\) −1.92117 + 1.81910i −0.145227 + 0.137511i
\(176\) 4.80190 + 12.2284i 0.361957 + 0.921747i
\(177\) −1.75424 3.03844i −0.131857 0.228383i
\(178\) −14.7898 15.9381i −1.10854 1.19461i
\(179\) 9.34059 16.1784i 0.698149 1.20923i −0.270959 0.962591i \(-0.587341\pi\)
0.969108 0.246638i \(-0.0793260\pi\)
\(180\) −0.968488 + 12.9397i −0.0721868 + 0.964469i
\(181\) −17.3231 −1.28761 −0.643807 0.765188i \(-0.722646\pi\)
−0.643807 + 0.765188i \(0.722646\pi\)
\(182\) −1.62426 + 25.0943i −0.120398 + 1.86012i
\(183\) 0.547644i 0.0404830i
\(184\) −3.32349 1.30384i −0.245011 0.0961204i
\(185\) 0.498735 + 0.287945i 0.0366677 + 0.0211701i
\(186\) −0.198928 0.214374i −0.0145861 0.0157187i
\(187\) −10.9180 + 6.30352i −0.798405 + 0.460959i
\(188\) 13.9941 + 9.53913i 1.02063 + 0.695713i
\(189\) 8.10327 27.2458i 0.589426 1.98184i
\(190\) −0.297683 + 0.965223i −0.0215962 + 0.0700247i
\(191\) 7.26161 4.19249i 0.525432 0.303358i −0.213722 0.976894i \(-0.568559\pi\)
0.739154 + 0.673536i \(0.235225\pi\)
\(192\) 16.7558 18.0685i 1.20924 1.30398i
\(193\) 4.32438 7.49005i 0.311276 0.539146i −0.667363 0.744733i \(-0.732577\pi\)
0.978639 + 0.205587i \(0.0659103\pi\)
\(194\) 7.94920 1.81474i 0.570719 0.130291i
\(195\) 20.7017i 1.48248i
\(196\) −13.8832 1.80477i −0.991656 0.128912i
\(197\) 9.70322i 0.691326i 0.938359 + 0.345663i \(0.112346\pi\)
−0.938359 + 0.345663i \(0.887654\pi\)
\(198\) −6.70704 29.3792i −0.476648 2.08789i
\(199\) −0.189423 + 0.328090i −0.0134278 + 0.0232577i −0.872661 0.488326i \(-0.837608\pi\)
0.859233 + 0.511584i \(0.170941\pi\)
\(200\) 2.79678 0.421945i 0.197762 0.0298360i
\(201\) 36.9687 21.3439i 2.60757 1.50548i
\(202\) 15.2939 + 4.71676i 1.07607 + 0.331870i
\(203\) −2.29657 + 7.72180i −0.161187 + 0.541964i
\(204\) 19.5395 + 13.3192i 1.36804 + 0.932527i
\(205\) −0.199897 + 0.115411i −0.0139614 + 0.00806064i
\(206\) −0.718368 + 0.666610i −0.0500511 + 0.0464449i
\(207\) 7.09208 + 4.09461i 0.492933 + 0.284595i
\(208\) 16.7574 21.0212i 1.16192 1.45756i
\(209\) 2.34580i 0.162263i
\(210\) −11.5012 0.744428i −0.793657 0.0513704i
\(211\) 1.17567 0.0809367 0.0404684 0.999181i \(-0.487115\pi\)
0.0404684 + 0.999181i \(0.487115\pi\)
\(212\) −4.99546 0.373891i −0.343089 0.0256789i
\(213\) 18.5924 32.2030i 1.27393 2.20651i
\(214\) −5.30606 + 4.92376i −0.362715 + 0.336582i
\(215\) −5.03157 8.71494i −0.343150 0.594354i
\(216\) −23.7556 + 18.9499i −1.61636 + 1.28938i
\(217\) 0.128979 0.122127i 0.00875568 0.00829050i
\(218\) 5.10725 16.5600i 0.345907 1.12159i
\(219\) 6.93105 + 12.0049i 0.468357 + 0.811218i
\(220\) −5.91792 + 2.85060i −0.398986 + 0.192187i
\(221\) 22.3416 + 12.8989i 1.50286 + 0.867677i
\(222\) 0.558341 + 2.44573i 0.0374734 + 0.164147i
\(223\) 7.97945 0.534343 0.267172 0.963649i \(-0.413911\pi\)
0.267172 + 0.963649i \(0.413911\pi\)
\(224\) 11.0761 + 10.0658i 0.740052 + 0.672550i
\(225\) −6.48795 −0.432530
\(226\) −2.07221 9.07698i −0.137841 0.603792i
\(227\) −5.41980 3.12912i −0.359725 0.207687i 0.309235 0.950986i \(-0.399927\pi\)
−0.668960 + 0.743298i \(0.733260\pi\)
\(228\) −3.96414 + 1.90948i −0.262532 + 0.126459i
\(229\) 6.97388 + 12.0791i 0.460847 + 0.798211i 0.999003 0.0446343i \(-0.0142123\pi\)
−0.538156 + 0.842845i \(0.680879\pi\)
\(230\) 0.526073 1.70577i 0.0346883 0.112475i
\(231\) 26.0334 6.21971i 1.71287 0.409227i
\(232\) 6.73263 5.37062i 0.442019 0.352599i
\(233\) −0.0277929 0.0481388i −0.00182077 0.00315367i 0.865114 0.501576i \(-0.167246\pi\)
−0.866934 + 0.498422i \(0.833913\pi\)
\(234\) −45.2020 + 41.9453i −2.95495 + 2.74205i
\(235\) −4.23402 + 7.33354i −0.276197 + 0.478387i
\(236\) −2.27170 0.170028i −0.147875 0.0110679i
\(237\) −34.3817 −2.23333
\(238\) −7.96963 + 11.9484i −0.516594 + 0.774501i
\(239\) 7.90839i 0.511552i −0.966736 0.255776i \(-0.917669\pi\)
0.966736 0.255776i \(-0.0823309\pi\)
\(240\) 9.63438 + 7.68023i 0.621896 + 0.495757i
\(241\) −11.6219 6.70993i −0.748635 0.432225i 0.0765652 0.997065i \(-0.475605\pi\)
−0.825201 + 0.564840i \(0.808938\pi\)
\(242\) −0.220877 + 0.204963i −0.0141985 + 0.0131755i
\(243\) 8.44497 4.87570i 0.541745 0.312777i
\(244\) 0.293816 + 0.200280i 0.0188096 + 0.0128216i
\(245\) 0.381767 6.98958i 0.0243902 0.446548i
\(246\) −0.960832 0.296328i −0.0612604 0.0188932i
\(247\) −4.15713 + 2.40012i −0.264512 + 0.152716i
\(248\) −0.187764 + 0.0283276i −0.0119230 + 0.00179881i
\(249\) −4.99737 + 8.65570i −0.316696 + 0.548533i
\(250\) 0.314756 + 1.37874i 0.0199069 + 0.0871993i
\(251\) 18.3987i 1.16132i −0.814148 0.580658i \(-0.802795\pi\)
0.814148 0.580658i \(-0.197205\pi\)
\(252\) −21.6780 26.6211i −1.36558 1.67697i
\(253\) 4.14557i 0.260630i
\(254\) 22.6978 5.18174i 1.42419 0.325131i
\(255\) −5.91181 + 10.2396i −0.370212 + 0.641226i
\(256\) −3.56613 15.5975i −0.222883 0.974845i
\(257\) −25.9092 + 14.9587i −1.61617 + 0.933096i −0.628271 + 0.777995i \(0.716237\pi\)
−0.987899 + 0.155101i \(0.950430\pi\)
\(258\) 12.9191 41.8895i 0.804306 2.60792i
\(259\) −1.48195 + 0.354058i −0.0920841 + 0.0220001i
\(260\) 11.1066 + 7.57087i 0.688805 + 0.469525i
\(261\) −17.1085 + 9.87761i −1.05899 + 0.611409i
\(262\) −0.495783 0.534278i −0.0306296 0.0330078i
\(263\) −17.3117 9.99491i −1.06748 0.616313i −0.139992 0.990153i \(-0.544708\pi\)
−0.927493 + 0.373840i \(0.878041\pi\)
\(264\) −26.6376 10.4502i −1.63943 0.643165i
\(265\) 2.50471i 0.153863i
\(266\) −1.18394 2.39587i −0.0725918 0.146900i
\(267\) 47.3578 2.89825
\(268\) 2.06873 27.6398i 0.126368 1.68837i
\(269\) −11.9143 + 20.6361i −0.726426 + 1.25821i 0.231958 + 0.972726i \(0.425487\pi\)
−0.958384 + 0.285481i \(0.907847\pi\)
\(270\) −10.3350 11.1375i −0.628970 0.677806i
\(271\) −9.94307 17.2219i −0.603999 1.04616i −0.992209 0.124585i \(-0.960240\pi\)
0.388210 0.921571i \(-0.373093\pi\)
\(272\) 14.2917 5.61214i 0.866561 0.340286i
\(273\) −37.6584 39.7714i −2.27919 2.40708i
\(274\) 11.4097 + 3.51886i 0.689287 + 0.212582i
\(275\) −1.64217 2.84433i −0.0990268 0.171519i
\(276\) 7.00554 3.37449i 0.421684 0.203121i
\(277\) −17.1311 9.89062i −1.02931 0.594270i −0.112520 0.993649i \(-0.535892\pi\)
−0.916786 + 0.399380i \(0.869226\pi\)
\(278\) −26.3391 + 6.01302i −1.57972 + 0.360637i
\(279\) 0.435574 0.0260771
\(280\) −4.60552 + 5.89824i −0.275232 + 0.352487i
\(281\) −9.91394 −0.591416 −0.295708 0.955278i \(-0.595556\pi\)
−0.295708 + 0.955278i \(0.595556\pi\)
\(282\) −35.9627 + 8.21000i −2.14155 + 0.488899i
\(283\) 23.3509 + 13.4816i 1.38806 + 0.801399i 0.993097 0.117296i \(-0.0374225\pi\)
0.394967 + 0.918695i \(0.370756\pi\)
\(284\) −10.4777 21.7520i −0.621738 1.29075i
\(285\) −1.10002 1.90528i −0.0651593 0.112859i
\(286\) −29.8300 9.19983i −1.76389 0.543997i
\(287\) 0.174093 0.585356i 0.0102764 0.0345525i
\(288\) 2.75120 + 36.5981i 0.162116 + 2.15656i
\(289\) −1.13286 1.96217i −0.0666389 0.115422i
\(290\) 2.92908 + 3.15650i 0.172001 + 0.185356i
\(291\) −8.87967 + 15.3800i −0.520535 + 0.901594i
\(292\) 8.97552 + 0.671784i 0.525253 + 0.0393132i
\(293\) −2.04836 −0.119666 −0.0598332 0.998208i \(-0.519057\pi\)
−0.0598332 + 0.998208i \(0.519057\pi\)
\(294\) 23.4499 19.4916i 1.36762 1.13677i
\(295\) 1.13902i 0.0663166i
\(296\) 1.51635 + 0.594879i 0.0881359 + 0.0345766i
\(297\) 30.5588 + 17.6431i 1.77320 + 1.02376i
\(298\) −6.26609 6.75261i −0.362985 0.391168i
\(299\) 7.34659 4.24156i 0.424864 0.245295i
\(300\) −3.46986 + 5.09037i −0.200333 + 0.293893i
\(301\) 25.5198 + 7.58993i 1.47094 + 0.437477i
\(302\) −2.97925 + 9.66010i −0.171437 + 0.555876i
\(303\) −30.1891 + 17.4297i −1.73432 + 1.00131i
\(304\) −0.425282 + 2.82512i −0.0243916 + 0.162032i
\(305\) −0.0888960 + 0.153972i −0.00509017 + 0.00881644i
\(306\) −34.3364 + 7.83874i −1.96288 + 0.448111i
\(307\) 7.59189i 0.433292i 0.976250 + 0.216646i \(0.0695118\pi\)
−0.976250 + 0.216646i \(0.930488\pi\)
\(308\) 6.18380 16.2418i 0.352355 0.925460i
\(309\) 2.13453i 0.121429i
\(310\) −0.0211314 0.0925630i −0.00120018 0.00525723i
\(311\) 8.84137 15.3137i 0.501348 0.868360i −0.498651 0.866803i \(-0.666171\pi\)
0.999999 0.00155721i \(-0.000495675\pi\)
\(312\) 8.73497 + 57.8980i 0.494521 + 3.27783i
\(313\) 11.5543 6.67087i 0.653087 0.377060i −0.136551 0.990633i \(-0.543602\pi\)
0.789638 + 0.613573i \(0.210268\pi\)
\(314\) 31.2643 + 9.64218i 1.76435 + 0.544140i
\(315\) 12.4644 11.8022i 0.702291 0.664979i
\(316\) −12.5738 + 18.4461i −0.707332 + 1.03767i
\(317\) 1.03929 0.600036i 0.0583725 0.0337014i −0.470530 0.882384i \(-0.655937\pi\)
0.528902 + 0.848683i \(0.322604\pi\)
\(318\) 7.99789 7.42165i 0.448499 0.416185i
\(319\) −8.66072 5.00027i −0.484907 0.279961i
\(320\) 7.64392 2.36017i 0.427308 0.131938i
\(321\) 15.7662i 0.879984i
\(322\) 2.09229 + 4.23405i 0.116599 + 0.235954i
\(323\) −2.74162 −0.152548
\(324\) 2.03456 27.1832i 0.113031 1.51018i
\(325\) −3.36039 + 5.82037i −0.186401 + 0.322856i
\(326\) 0.861273 0.799219i 0.0477015 0.0442646i
\(327\) 18.8726 + 32.6884i 1.04366 + 1.80767i
\(328\) −0.510371 + 0.407124i −0.0281805 + 0.0224796i
\(329\) −5.20616 21.7910i −0.287025 1.20138i
\(330\) 4.21644 13.6716i 0.232107 0.752598i
\(331\) −3.01312 5.21888i −0.165616 0.286856i 0.771258 0.636523i \(-0.219628\pi\)
−0.936874 + 0.349667i \(0.886295\pi\)
\(332\) 2.81626 + 5.84664i 0.154562 + 0.320876i
\(333\) −3.23577 1.86817i −0.177319 0.102375i
\(334\) −1.13306 4.96319i −0.0619982 0.271574i
\(335\) 13.8585 0.757173
\(336\) −32.4803 + 2.77086i −1.77195 + 0.151163i
\(337\) −17.3124 −0.943069 −0.471534 0.881848i \(-0.656300\pi\)
−0.471534 + 0.881848i \(0.656300\pi\)
\(338\) 10.1254 + 44.3526i 0.550747 + 2.41246i
\(339\) 17.5621 + 10.1395i 0.953840 + 0.550700i
\(340\) 3.33159 + 6.91647i 0.180681 + 0.375098i
\(341\) 0.110249 + 0.190956i 0.00597030 + 0.0103409i
\(342\) 1.93135 6.26232i 0.104436 0.338627i
\(343\) 11.9813 + 14.1226i 0.646929 + 0.762550i
\(344\) −17.7494 22.2507i −0.956984 1.19968i
\(345\) 1.94398 + 3.36707i 0.104660 + 0.181277i
\(346\) 10.9642 10.1742i 0.589437 0.546969i
\(347\) −2.07692 + 3.59734i −0.111495 + 0.193115i −0.916373 0.400325i \(-0.868897\pi\)
0.804878 + 0.593440i \(0.202231\pi\)
\(348\) −1.40006 + 18.7059i −0.0750512 + 1.00274i
\(349\) −12.1023 −0.647823 −0.323912 0.946087i \(-0.604998\pi\)
−0.323912 + 0.946087i \(0.604998\pi\)
\(350\) −3.11276 2.07622i −0.166384 0.110979i
\(351\) 72.2064i 3.85409i
\(352\) −15.3483 + 10.4695i −0.818068 + 0.558028i
\(353\) 10.4647 + 6.04182i 0.556982 + 0.321573i 0.751933 0.659239i \(-0.229122\pi\)
−0.194952 + 0.980813i \(0.562455\pi\)
\(354\) 3.63706 3.37501i 0.193308 0.179380i
\(355\) 10.4547 6.03601i 0.554876 0.320358i
\(356\) 17.3193 25.4079i 0.917922 1.34661i
\(357\) −7.26918 30.4261i −0.384726 1.61032i
\(358\) 25.2458 + 7.78602i 1.33428 + 0.411504i
\(359\) 8.88907 5.13211i 0.469147 0.270862i −0.246735 0.969083i \(-0.579358\pi\)
0.715883 + 0.698221i \(0.246025\pi\)
\(360\) −18.1453 + 2.73756i −0.956344 + 0.144282i
\(361\) −9.24493 + 16.0127i −0.486575 + 0.842773i
\(362\) −5.45254 23.8840i −0.286579 1.25532i
\(363\) 0.656306i 0.0344471i
\(364\) −35.1099 + 5.65916i −1.84026 + 0.296621i
\(365\) 4.50031i 0.235557i
\(366\) −0.755060 + 0.172374i −0.0394676 + 0.00901015i
\(367\) −9.27079 + 16.0575i −0.483931 + 0.838194i −0.999830 0.0184562i \(-0.994125\pi\)
0.515898 + 0.856650i \(0.327458\pi\)
\(368\) 0.751569 4.99263i 0.0391783 0.260259i
\(369\) 1.29692 0.748779i 0.0675151 0.0389799i
\(370\) −0.240022 + 0.778259i −0.0124781 + 0.0404598i
\(371\) 4.55632 + 4.81197i 0.236552 + 0.249825i
\(372\) 0.232952 0.341746i 0.0120780 0.0177187i
\(373\) 23.0707 13.3199i 1.19456 0.689677i 0.235219 0.971942i \(-0.424419\pi\)
0.959336 + 0.282266i \(0.0910860\pi\)
\(374\) −12.1274 13.0691i −0.627095 0.675785i
\(375\) −2.66758 1.54013i −0.137753 0.0795317i
\(376\) −8.74726 + 22.2968i −0.451106 + 1.14987i
\(377\) 20.4642i 1.05396i
\(378\) 40.1155 + 2.59653i 2.06332 + 0.133551i
\(379\) −24.7032 −1.26892 −0.634459 0.772956i \(-0.718777\pi\)
−0.634459 + 0.772956i \(0.718777\pi\)
\(380\) −1.42449 0.106618i −0.0730749 0.00546938i
\(381\) −25.3546 + 43.9155i −1.29896 + 2.24986i
\(382\) 8.06600 + 8.69227i 0.412693 + 0.444735i
\(383\) 9.52490 + 16.4976i 0.486700 + 0.842989i 0.999883 0.0152904i \(-0.00486727\pi\)
−0.513183 + 0.858279i \(0.671534\pi\)
\(384\) 30.1858 + 17.4147i 1.54041 + 0.888691i
\(385\) 8.32900 + 2.47716i 0.424485 + 0.126248i
\(386\) 11.6880 + 3.60467i 0.594902 + 0.183473i
\(387\) 32.6446 + 56.5421i 1.65942 + 2.87420i
\(388\) 5.00412 + 10.3887i 0.254046 + 0.527406i
\(389\) 26.6121 + 15.3645i 1.34929 + 0.779010i 0.988148 0.153502i \(-0.0490553\pi\)
0.361137 + 0.932513i \(0.382389\pi\)
\(390\) −28.5423 + 6.51599i −1.44530 + 0.329950i
\(391\) 4.84507 0.245026
\(392\) −1.88150 19.7094i −0.0950301 0.995474i
\(393\) 1.58753 0.0800803
\(394\) −13.3782 + 3.05415i −0.673986 + 0.153866i
\(395\) −9.66655 5.58099i −0.486377 0.280810i
\(396\) 38.3952 18.4945i 1.92943 0.929385i
\(397\) −14.3388 24.8356i −0.719646 1.24646i −0.961140 0.276061i \(-0.910971\pi\)
0.241494 0.970402i \(-0.422363\pi\)
\(398\) −0.511974 0.157897i −0.0256629 0.00791466i
\(399\) 5.57921 + 1.65933i 0.279310 + 0.0830705i
\(400\) 1.46206 + 3.72322i 0.0731028 + 0.186161i
\(401\) −3.59148 6.22063i −0.179350 0.310643i 0.762308 0.647214i \(-0.224066\pi\)
−0.941658 + 0.336571i \(0.890733\pi\)
\(402\) 41.0639 + 44.2522i 2.04808 + 2.20710i
\(403\) 0.225603 0.390755i 0.0112381 0.0194649i
\(404\) −1.68935 + 22.5710i −0.0840484 + 1.12295i
\(405\) 13.6296 0.677262
\(406\) −11.3692 0.735887i −0.564245 0.0365215i
\(407\) 1.89142i 0.0937543i
\(408\) −12.2135 + 31.1322i −0.604658 + 1.54127i
\(409\) −13.5732 7.83652i −0.671154 0.387491i 0.125360 0.992111i \(-0.459991\pi\)
−0.796514 + 0.604620i \(0.793325\pi\)
\(410\) −0.222040 0.239280i −0.0109658 0.0118172i
\(411\) −22.5220 + 13.0031i −1.11093 + 0.641395i
\(412\) −1.14519 0.780624i −0.0564197 0.0384586i
\(413\) 2.07200 + 2.18826i 0.101956 + 0.107677i
\(414\) −3.41314 + 11.0669i −0.167747 + 0.543911i
\(415\) −2.81006 + 1.62239i −0.137941 + 0.0796401i
\(416\) 34.2573 + 16.4876i 1.67960 + 0.808373i
\(417\) 29.4222 50.9607i 1.44081 2.49556i
\(418\) 3.23426 0.738356i 0.158193 0.0361142i
\(419\) 36.8405i 1.79978i −0.436122 0.899888i \(-0.643648\pi\)
0.436122 0.899888i \(-0.356352\pi\)
\(420\) −2.59369 16.0915i −0.126559 0.785183i
\(421\) 8.37624i 0.408233i 0.978947 + 0.204116i \(0.0654321\pi\)
−0.978947 + 0.204116i \(0.934568\pi\)
\(422\) 0.370051 + 1.62095i 0.0180138 + 0.0789066i
\(423\) 27.4701 47.5796i 1.33564 2.31340i
\(424\) −1.05685 7.00513i −0.0513252 0.340199i
\(425\) −3.32426 + 1.91926i −0.161250 + 0.0930979i
\(426\) 50.2517 + 15.4980i 2.43470 + 0.750883i
\(427\) −0.109307 0.457517i −0.00528972 0.0221408i
\(428\) −8.45871 5.76590i −0.408867 0.278705i
\(429\) 58.8824 33.9958i 2.84287 1.64133i
\(430\) 10.4319 9.68032i 0.503072 0.466826i
\(431\) −20.5648 11.8731i −0.990570 0.571906i −0.0851256 0.996370i \(-0.527129\pi\)
−0.905445 + 0.424464i \(0.860462\pi\)
\(432\) −33.6042 26.7882i −1.61678 1.28885i
\(433\) 6.49599i 0.312177i −0.987743 0.156089i \(-0.950111\pi\)
0.987743 0.156089i \(-0.0498885\pi\)
\(434\) 0.208978 + 0.139389i 0.0100313 + 0.00669088i
\(435\) −9.37909 −0.449693
\(436\) 24.4396 + 1.82921i 1.17044 + 0.0876032i
\(437\) −0.450763 + 0.780744i −0.0215629 + 0.0373481i
\(438\) −14.3701 + 13.3348i −0.686630 + 0.637159i
\(439\) 11.0256 + 19.0969i 0.526223 + 0.911444i 0.999533 + 0.0305486i \(0.00972544\pi\)
−0.473311 + 0.880896i \(0.656941\pi\)
\(440\) −5.79294 7.26204i −0.276168 0.346204i
\(441\) −2.47689 + 45.3480i −0.117947 + 2.15943i
\(442\) −10.7521 + 34.8634i −0.511427 + 1.65828i
\(443\) −2.81959 4.88367i −0.133963 0.232030i 0.791238 0.611508i \(-0.209437\pi\)
−0.925201 + 0.379478i \(0.876104\pi\)
\(444\) −3.19629 + 1.53962i −0.151689 + 0.0730670i
\(445\) 13.3148 + 7.68732i 0.631183 + 0.364414i
\(446\) 2.51158 + 11.0016i 0.118927 + 0.520941i
\(447\) 20.0644 0.949015
\(448\) −10.3919 + 18.4393i −0.490970 + 0.871177i
\(449\) 16.7623 0.791063 0.395531 0.918452i \(-0.370560\pi\)
0.395531 + 0.918452i \(0.370560\pi\)
\(450\) −2.04212 8.94520i −0.0962665 0.421681i
\(451\) 0.656532 + 0.379049i 0.0309149 + 0.0178487i
\(452\) 11.8626 5.71407i 0.557969 0.268767i
\(453\) −11.0091 19.0684i −0.517254 0.895910i
\(454\) 2.60834 8.45742i 0.122415 0.396926i
\(455\) −4.13194 17.2948i −0.193709 0.810792i
\(456\) −3.88042 4.86451i −0.181718 0.227801i
\(457\) −7.58737 13.1417i −0.354922 0.614744i 0.632182 0.774820i \(-0.282159\pi\)
−0.987105 + 0.160076i \(0.948826\pi\)
\(458\) −14.4589 + 13.4172i −0.675621 + 0.626943i
\(459\) 20.6201 35.7150i 0.962463 1.66704i
\(460\) 2.51740 + 0.188418i 0.117374 + 0.00878503i
\(461\) −28.7740 −1.34014 −0.670070 0.742298i \(-0.733736\pi\)
−0.670070 + 0.742298i \(0.733736\pi\)
\(462\) 16.7695 + 33.9356i 0.780189 + 1.57883i
\(463\) 34.4369i 1.60042i 0.599720 + 0.800210i \(0.295279\pi\)
−0.599720 + 0.800210i \(0.704721\pi\)
\(464\) 9.52384 + 7.59211i 0.442133 + 0.352455i
\(465\) 0.179090 + 0.103398i 0.00830510 + 0.00479495i
\(466\) 0.0576229 0.0534712i 0.00266933 0.00247701i
\(467\) 15.9360 9.20065i 0.737430 0.425755i −0.0837042 0.996491i \(-0.526675\pi\)
0.821134 + 0.570735i \(0.193342\pi\)
\(468\) −72.0593 49.1194i −3.33094 2.27055i
\(469\) −26.6246 + 25.2100i −1.22941 + 1.16409i
\(470\) −11.4437 3.52934i −0.527860 0.162796i
\(471\) −61.7136 + 35.6304i −2.84361 + 1.64176i
\(472\) −0.480606 3.18560i −0.0221217 0.146629i
\(473\) −16.5254 + 28.6229i −0.759840 + 1.31608i
\(474\) −10.8218 47.4034i −0.497064 2.17731i
\(475\) 0.714238i 0.0327715i
\(476\) −18.9823 7.22722i −0.870052 0.331259i
\(477\) 16.2505i 0.744057i
\(478\) 10.9036 2.48922i 0.498721 0.113854i
\(479\) −11.9755 + 20.7422i −0.547175 + 0.947735i 0.451292 + 0.892377i \(0.350963\pi\)
−0.998467 + 0.0553583i \(0.982370\pi\)
\(480\) −7.55658 + 15.7007i −0.344909 + 0.716636i
\(481\) −3.35189 + 1.93521i −0.152833 + 0.0882382i
\(482\) 5.59319 18.1357i 0.254763 0.826056i
\(483\) −9.85974 2.93242i −0.448634 0.133430i
\(484\) −0.352114 0.240019i −0.0160052 0.0109100i
\(485\) −4.99311 + 2.88277i −0.226726 + 0.130900i
\(486\) 9.38044 + 10.1088i 0.425505 + 0.458543i
\(487\) −21.5404 12.4364i −0.976089 0.563545i −0.0750017 0.997183i \(-0.523896\pi\)
−0.901087 + 0.433638i \(0.857230\pi\)
\(488\) −0.183654 + 0.468136i −0.00831365 + 0.0211915i
\(489\) 2.55915i 0.115729i
\(490\) 9.75699 1.67366i 0.440776 0.0756080i
\(491\) −14.2945 −0.645102 −0.322551 0.946552i \(-0.604540\pi\)
−0.322551 + 0.946552i \(0.604540\pi\)
\(492\) 0.106133 1.41801i 0.00478483 0.0639288i
\(493\) −5.84398 + 10.1221i −0.263200 + 0.455875i
\(494\) −4.61762 4.97615i −0.207757 0.223888i
\(495\) 10.6543 + 18.4538i 0.478877 + 0.829439i
\(496\) −0.0981564 0.249962i −0.00440735 0.0112236i
\(497\) −9.10508 + 30.6142i −0.408419 + 1.37324i
\(498\) −13.5069 4.16565i −0.605260 0.186667i
\(499\) 0.248745 + 0.430838i 0.0111353 + 0.0192870i 0.871539 0.490326i \(-0.163122\pi\)
−0.860404 + 0.509612i \(0.829789\pi\)
\(500\) −1.80186 + 0.867935i −0.0805815 + 0.0388152i
\(501\) 9.60274 + 5.54414i 0.429019 + 0.247694i
\(502\) 25.3671 5.79111i 1.13219 0.258470i
\(503\) −14.1052 −0.628918 −0.314459 0.949271i \(-0.601823\pi\)
−0.314459 + 0.949271i \(0.601823\pi\)
\(504\) 29.8804 38.2675i 1.33098 1.70457i
\(505\) −11.3170 −0.503602
\(506\) −5.71567 + 1.30484i −0.254093 + 0.0580074i
\(507\) −85.8130 49.5441i −3.81109 2.20033i
\(508\) 14.2886 + 29.6635i 0.633952 + 1.31610i
\(509\) −13.9373 24.1401i −0.617760 1.06999i −0.989894 0.141813i \(-0.954707\pi\)
0.372133 0.928179i \(-0.378626\pi\)
\(510\) −15.9785 4.92790i −0.707539 0.218211i
\(511\) −8.18651 8.64586i −0.362150 0.382470i
\(512\) 20.3825 9.82619i 0.900787 0.434260i
\(513\) 3.83680 + 6.64553i 0.169399 + 0.293407i
\(514\) −28.7792 31.0137i −1.26940 1.36796i
\(515\) 0.346486 0.600132i 0.0152680 0.0264450i
\(516\) 61.8211 + 4.62708i 2.72152 + 0.203696i
\(517\) 27.8120 1.22317
\(518\) −0.954608 1.93179i −0.0419431 0.0848780i
\(519\) 32.5785i 1.43004i
\(520\) −6.94239 + 17.6962i −0.304444 + 0.776028i
\(521\) 14.0644 + 8.12006i 0.616171 + 0.355746i 0.775377 0.631499i \(-0.217560\pi\)
−0.159206 + 0.987245i \(0.550893\pi\)
\(522\) −19.0037 20.4792i −0.831769 0.896350i
\(523\) −3.56646 + 2.05910i −0.155950 + 0.0900380i −0.575944 0.817489i \(-0.695366\pi\)
0.419994 + 0.907527i \(0.362032\pi\)
\(524\) 0.580580 0.851724i 0.0253628 0.0372078i
\(525\) 7.92650 1.89374i 0.345941 0.0826497i
\(526\) 8.33144 27.0143i 0.363268 1.17788i
\(527\) 0.223177 0.128851i 0.00972175 0.00561285i
\(528\) 6.02378 40.0156i 0.262151 1.74146i
\(529\) −10.7034 + 18.5388i −0.465365 + 0.806036i
\(530\) 3.45335 0.788374i 0.150004 0.0342448i
\(531\) 7.38993i 0.320696i
\(532\) 2.93063 2.38646i 0.127059 0.103466i
\(533\) 1.55130i 0.0671943i
\(534\) 14.9061 + 65.2941i 0.645052 + 2.82555i
\(535\) 2.55924 4.43274i 0.110646 0.191644i
\(536\) 38.7593 5.84754i 1.67415 0.252575i
\(537\) −49.8335 + 28.7714i −2.15047 + 1.24158i
\(538\) −32.2020 9.93135i −1.38833 0.428171i
\(539\) −20.5076 + 10.3922i −0.883324 + 0.447625i
\(540\) 12.1027 17.7549i 0.520817 0.764051i
\(541\) 5.94834 3.43428i 0.255739 0.147651i −0.366650 0.930359i \(-0.619495\pi\)
0.622389 + 0.782708i \(0.286162\pi\)
\(542\) 20.6149 19.1296i 0.885486 0.821688i
\(543\) 46.2106 + 26.6797i 1.98309 + 1.14494i
\(544\) 12.2361 + 17.9381i 0.524618 + 0.769089i
\(545\) 12.2540i 0.524902i
\(546\) 42.9813 64.4395i 1.83943 2.75776i
\(547\) −25.9783 −1.11075 −0.555376 0.831599i \(-0.687426\pi\)
−0.555376 + 0.831599i \(0.687426\pi\)
\(548\) −1.26031 + 16.8387i −0.0538378 + 0.719312i
\(549\) 0.576753 0.998965i 0.0246152 0.0426348i
\(550\) 3.40471 3.15940i 0.145177 0.134717i
\(551\) −1.08740 1.88342i −0.0463246 0.0802365i
\(552\) 6.85759 + 8.59669i 0.291879 + 0.365900i
\(553\) 28.7234 6.86239i 1.22144 0.291819i
\(554\) 8.24450 26.7324i 0.350275 1.13575i
\(555\) −0.886943 1.53623i −0.0376486 0.0652093i
\(556\) −16.5808 34.4222i −0.703183 1.45983i
\(557\) 6.50339 + 3.75473i 0.275557 + 0.159093i 0.631410 0.775449i \(-0.282476\pi\)
−0.355853 + 0.934542i \(0.615810\pi\)
\(558\) 0.137100 + 0.600544i 0.00580389 + 0.0254231i
\(559\) 67.6322 2.86054
\(560\) −9.58176 4.49331i −0.404903 0.189877i
\(561\) 38.8329 1.63953
\(562\) −3.12047 13.6688i −0.131629 0.576582i
\(563\) 25.3072 + 14.6111i 1.06657 + 0.615786i 0.927243 0.374460i \(-0.122172\pi\)
0.139329 + 0.990246i \(0.455505\pi\)
\(564\) −22.6389 46.9991i −0.953272 1.97902i
\(565\) 3.29176 + 5.70150i 0.138486 + 0.239864i
\(566\) −11.2379 + 36.4382i −0.472362 + 1.53161i
\(567\) −26.1848 + 24.7936i −1.09966 + 1.04123i
\(568\) 26.6925 21.2927i 1.11999 0.893420i
\(569\) 21.0499 + 36.4596i 0.882460 + 1.52847i 0.848598 + 0.529039i \(0.177447\pi\)
0.0338620 + 0.999427i \(0.489219\pi\)
\(570\) 2.28066 2.11634i 0.0955262 0.0886436i
\(571\) −13.3062 + 23.0470i −0.556846 + 0.964485i 0.440911 + 0.897551i \(0.354655\pi\)
−0.997757 + 0.0669348i \(0.978678\pi\)
\(572\) 3.29500 44.0236i 0.137771 1.84072i
\(573\) −25.8279 −1.07897
\(574\) 0.861851 + 0.0557844i 0.0359730 + 0.00232840i
\(575\) 1.26222i 0.0526382i
\(576\) −49.5934 + 15.3127i −2.06639 + 0.638028i
\(577\) 25.7918 + 14.8909i 1.07373 + 0.619916i 0.929197 0.369585i \(-0.120500\pi\)
0.144528 + 0.989501i \(0.453833\pi\)
\(578\) 2.34876 2.17953i 0.0976954 0.0906565i
\(579\) −23.0712 + 13.3202i −0.958808 + 0.553568i
\(580\) −3.43005 + 5.03197i −0.142425 + 0.208941i
\(581\) 2.44732 8.22867i 0.101532 0.341383i
\(582\) −24.0000 7.40181i −0.994833 0.306815i
\(583\) −7.12423 + 4.11317i −0.295055 + 0.170350i
\(584\) 1.89888 + 12.5864i 0.0785764 + 0.520828i
\(585\) 21.8020 37.7622i 0.901403 1.56128i
\(586\) −0.644733 2.82416i −0.0266337 0.116665i
\(587\) 25.4403i 1.05003i −0.851092 0.525017i \(-0.824059\pi\)
0.851092 0.525017i \(-0.175941\pi\)
\(588\) 34.2549 + 26.1962i 1.41265 + 1.08031i
\(589\) 0.0479510i 0.00197579i
\(590\) 1.57042 0.358515i 0.0646532 0.0147598i
\(591\) 14.9442 25.8841i 0.614721 1.06473i
\(592\) −0.342904 + 2.27789i −0.0140933 + 0.0936209i
\(593\) −12.1719 + 7.02748i −0.499842 + 0.288584i −0.728648 0.684888i \(-0.759851\pi\)
0.228806 + 0.973472i \(0.426518\pi\)
\(594\) −14.7067 + 47.6859i −0.603425 + 1.95658i
\(595\) 2.89513 9.73438i 0.118689 0.399071i
\(596\) 7.33782 10.7647i 0.300569 0.440941i
\(597\) 1.01060 0.583471i 0.0413612 0.0238799i
\(598\) 8.16039 + 8.79399i 0.333703 + 0.359613i
\(599\) 5.81502 + 3.35730i 0.237595 + 0.137176i 0.614071 0.789251i \(-0.289531\pi\)
−0.376476 + 0.926426i \(0.622864\pi\)
\(600\) −8.11046 3.18182i −0.331108 0.129897i
\(601\) 2.72540i 0.111171i −0.998454 0.0555856i \(-0.982297\pi\)
0.998454 0.0555856i \(-0.0177026\pi\)
\(602\) −2.43204 + 37.5742i −0.0991225 + 1.53141i
\(603\) −89.9135 −3.66156
\(604\) −14.2565 1.06705i −0.580089 0.0434175i
\(605\) 0.106534 0.184523i 0.00433124 0.00750193i
\(606\) −33.5332 36.1368i −1.36219 1.46796i
\(607\) −16.0138 27.7367i −0.649979 1.12580i −0.983127 0.182923i \(-0.941444\pi\)
0.333148 0.942875i \(-0.391889\pi\)
\(608\) −4.02897 + 0.302871i −0.163396 + 0.0122830i
\(609\) 18.0188 17.0615i 0.730159 0.691366i
\(610\) −0.240269 0.0741009i −0.00972820 0.00300026i
\(611\) −28.4559 49.2871i −1.15120 1.99394i
\(612\) −21.6152 44.8737i −0.873742 1.81391i
\(613\) 26.3757 + 15.2280i 1.06530 + 0.615054i 0.926895 0.375321i \(-0.122468\pi\)
0.138410 + 0.990375i \(0.455801\pi\)
\(614\) −10.4673 + 2.38959i −0.422424 + 0.0964362i
\(615\) 0.710988 0.0286698
\(616\) 24.3396 + 3.41367i 0.980669 + 0.137541i
\(617\) 25.2200 1.01532 0.507660 0.861557i \(-0.330511\pi\)
0.507660 + 0.861557i \(0.330511\pi\)
\(618\) 2.94296 0.671856i 0.118383 0.0270260i
\(619\) 1.07430 + 0.620250i 0.0431800 + 0.0249300i 0.521435 0.853291i \(-0.325397\pi\)
−0.478255 + 0.878221i \(0.658730\pi\)
\(620\) 0.120969 0.0582696i 0.00485824 0.00234016i
\(621\) −6.78050 11.7442i −0.272092 0.471277i
\(622\) 23.8965 + 7.36988i 0.958163 + 0.295505i
\(623\) −39.5640 + 9.45235i −1.58510 + 0.378700i
\(624\) −77.0770 + 30.2670i −3.08555 + 1.21165i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 12.8342 + 13.8307i 0.512957 + 0.552785i
\(627\) −3.61283 + 6.25761i −0.144283 + 0.249905i
\(628\) −3.45343 + 46.1404i −0.137807 + 1.84120i
\(629\) −2.21057 −0.0881411
\(630\) 20.1955 + 13.4704i 0.804606 + 0.536674i
\(631\) 8.73486i 0.347729i 0.984770 + 0.173865i \(0.0556255\pi\)
−0.984770 + 0.173865i \(0.944374\pi\)
\(632\) −29.3901 11.5300i −1.16907 0.458640i
\(633\) −3.13620 1.81069i −0.124653 0.0719683i
\(634\) 1.15442 + 1.24405i 0.0458478 + 0.0494076i
\(635\) −14.2571 + 8.23136i −0.565777 + 0.326651i
\(636\) 12.7499 + 8.69101i 0.505567 + 0.344621i
\(637\) 39.3990 + 25.7098i 1.56105 + 1.01866i
\(638\) 4.16807 13.5148i 0.165015 0.535055i
\(639\) −67.8293 + 39.1613i −2.68329 + 1.54920i
\(640\) 5.66004 + 9.79612i 0.223733 + 0.387226i
\(641\) 10.1834 17.6382i 0.402220 0.696665i −0.591774 0.806104i \(-0.701572\pi\)
0.993994 + 0.109439i \(0.0349054\pi\)
\(642\) 21.7375 4.96251i 0.857912 0.195855i
\(643\) 20.9423i 0.825884i −0.910757 0.412942i \(-0.864501\pi\)
0.910757 0.412942i \(-0.135499\pi\)
\(644\) −5.17910 + 4.21741i −0.204085 + 0.166189i
\(645\) 30.9970i 1.22051i
\(646\) −0.862942 3.77999i −0.0339520 0.148722i
\(647\) −9.88308 + 17.1180i −0.388544 + 0.672978i −0.992254 0.124226i \(-0.960355\pi\)
0.603710 + 0.797204i \(0.293689\pi\)
\(648\) 38.1190 5.75095i 1.49746 0.225919i
\(649\) −3.23976 + 1.87048i −0.127172 + 0.0734226i
\(650\) −9.08249 2.80111i −0.356244 0.109869i
\(651\) −0.532152 + 0.127138i −0.0208567 + 0.00498293i
\(652\) 1.37301 + 0.935914i 0.0537711 + 0.0366532i
\(653\) 33.9904 19.6243i 1.33015 0.767960i 0.344824 0.938667i \(-0.387939\pi\)
0.985322 + 0.170708i \(0.0546054\pi\)
\(654\) −39.1285 + 36.3094i −1.53005 + 1.41981i
\(655\) 0.446341 + 0.257695i 0.0174400 + 0.0100690i
\(656\) −0.721961 0.575525i −0.0281878 0.0224705i
\(657\) 29.1978i 1.13911i
\(658\) 28.4056 14.0368i 1.10736 0.547212i
\(659\) 43.0875 1.67845 0.839225 0.543785i \(-0.183009\pi\)
0.839225 + 0.543785i \(0.183009\pi\)
\(660\) 20.1768 + 1.51016i 0.785380 + 0.0587828i
\(661\) 4.37780 7.58258i 0.170277 0.294928i −0.768240 0.640162i \(-0.778867\pi\)
0.938517 + 0.345234i \(0.112200\pi\)
\(662\) 6.24709 5.79699i 0.242800 0.225306i
\(663\) −39.7320 68.8178i −1.54306 2.67266i
\(664\) −7.17456 + 5.72316i −0.278427 + 0.222102i
\(665\) 1.29927 + 1.37217i 0.0503835 + 0.0532105i
\(666\) 1.55725 5.04931i 0.0603421 0.195657i
\(667\) 1.92167 + 3.32844i 0.0744076 + 0.128878i
\(668\) 6.48633 3.12439i 0.250963 0.120886i
\(669\) −21.2858 12.2894i −0.822956 0.475134i
\(670\) 4.36206 + 19.1074i 0.168521 + 0.738181i
\(671\) 0.583931 0.0225424
\(672\) −14.0437 43.9099i −0.541747 1.69386i
\(673\) −13.0780 −0.504121 −0.252060 0.967712i \(-0.581108\pi\)
−0.252060 + 0.967712i \(0.581108\pi\)
\(674\) −5.44920 23.8694i −0.209895 0.919414i
\(675\) 9.30437 + 5.37188i 0.358125 + 0.206764i
\(676\) −57.9638 + 27.9205i −2.22938 + 1.07387i
\(677\) −13.8738 24.0302i −0.533215 0.923555i −0.999247 0.0387876i \(-0.987650\pi\)
0.466033 0.884767i \(-0.345683\pi\)
\(678\) −8.45193 + 27.4050i −0.324594 + 1.05248i
\(679\) 4.34855 14.6212i 0.166882 0.561112i
\(680\) −8.48739 + 6.77040i −0.325477 + 0.259633i
\(681\) 9.63849 + 16.6944i 0.369348 + 0.639729i
\(682\) −0.228578 + 0.212109i −0.00875271 + 0.00812208i
\(683\) 23.1088 40.0257i 0.884235 1.53154i 0.0376480 0.999291i \(-0.488013\pi\)
0.846587 0.532250i \(-0.178653\pi\)
\(684\) 9.24203 + 0.691731i 0.353378 + 0.0264490i
\(685\) −8.44288 −0.322586
\(686\) −15.7003 + 20.9643i −0.599439 + 0.800420i
\(687\) 42.9626i 1.63913i
\(688\) 25.0912 31.4754i 0.956594 1.19999i
\(689\) 14.5784 + 8.41682i 0.555391 + 0.320655i
\(690\) −4.03044 + 3.74005i −0.153436 + 0.142381i
\(691\) −13.6210 + 7.86409i −0.518167 + 0.299164i −0.736184 0.676781i \(-0.763374\pi\)
0.218017 + 0.975945i \(0.430041\pi\)
\(692\) 17.4786 + 11.9144i 0.664438 + 0.452916i
\(693\) −54.0381 16.0717i −2.05274 0.610512i
\(694\) −5.61352 1.73126i −0.213086 0.0657176i
\(695\) 16.5443 9.55187i 0.627562 0.362323i
\(696\) −26.2312 + 3.95746i −0.994292 + 0.150007i
\(697\) 0.443007 0.767311i 0.0167801 0.0290640i
\(698\) −3.80928 16.6860i −0.144184 0.631574i
\(699\) 0.171218i 0.00647607i
\(700\) 1.88281 4.94520i 0.0711636 0.186911i
\(701\) 36.4270i 1.37583i −0.725792 0.687914i \(-0.758526\pi\)
0.725792 0.687914i \(-0.241474\pi\)
\(702\) 99.5540 22.7274i 3.75742 0.857791i
\(703\) 0.205661 0.356216i 0.00775666 0.0134349i
\(704\) −19.2657 17.8660i −0.726105 0.673351i
\(705\) 22.5891 13.0418i 0.850756 0.491184i
\(706\) −5.03627 + 16.3299i −0.189542 + 0.614583i
\(707\) 21.7419 20.5868i 0.817690 0.774247i
\(708\) 5.79806 + 3.95226i 0.217904 + 0.148535i
\(709\) −28.0338 + 16.1853i −1.05283 + 0.607853i −0.923441 0.383741i \(-0.874636\pi\)
−0.129391 + 0.991594i \(0.541302\pi\)
\(710\) 11.6128 + 12.5144i 0.435819 + 0.469658i
\(711\) 62.7161 + 36.2091i 2.35204 + 1.35795i
\(712\) 40.4822 + 15.8816i 1.51714 + 0.595188i
\(713\) 0.0847403i 0.00317355i
\(714\) 39.6617 19.5991i 1.48430 0.733478i
\(715\) 22.0734 0.825497
\(716\) −2.78863 + 37.2582i −0.104216 + 1.39240i
\(717\) −12.1799 + 21.0962i −0.454868 + 0.787854i
\(718\) 9.87374 + 10.6404i 0.368485 + 0.397095i
\(719\) −0.853166 1.47773i −0.0318177 0.0551099i 0.849678 0.527302i \(-0.176796\pi\)
−0.881496 + 0.472192i \(0.843463\pi\)
\(720\) −9.48574 24.1561i −0.353513 0.900244i
\(721\) 0.426040 + 1.78325i 0.0158666 + 0.0664116i
\(722\) −24.9873 7.70628i −0.929930 0.286798i
\(723\) 20.6683 + 35.7985i 0.768662 + 1.33136i
\(724\) 31.2137 15.0353i 1.16005 0.558782i
\(725\) −2.63697 1.52246i −0.0979346 0.0565426i
\(726\) 0.904876 0.206576i 0.0335831 0.00766676i
\(727\) 13.8129 0.512293 0.256146 0.966638i \(-0.417547\pi\)
0.256146 + 0.966638i \(0.417547\pi\)
\(728\) −18.8536 46.6262i −0.698760 1.72808i
\(729\) 10.8521 0.401930
\(730\) −6.20477 + 1.41650i −0.229649 + 0.0524271i
\(731\) 33.4525 + 19.3138i 1.23729 + 0.714347i
\(732\) −0.475319 0.986777i −0.0175683 0.0364723i
\(733\) −17.7219 30.6952i −0.654574 1.13375i −0.982001 0.188878i \(-0.939515\pi\)
0.327427 0.944876i \(-0.393818\pi\)
\(734\) −25.0572 7.72783i −0.924876 0.285240i
\(735\) −11.7832 + 18.0573i −0.434631 + 0.666052i
\(736\) 7.12011 0.535241i 0.262451 0.0197293i
\(737\) −22.7581 39.4182i −0.838307 1.45199i
\(738\) 1.44059 + 1.55244i 0.0530287 + 0.0571461i
\(739\) 14.3056 24.7780i 0.526240 0.911474i −0.473293 0.880905i \(-0.656935\pi\)
0.999533 0.0305688i \(-0.00973187\pi\)
\(740\) −1.14857 0.0859659i −0.0422222 0.00316017i
\(741\) 14.7859 0.543175
\(742\) −5.20034 + 7.79659i −0.190910 + 0.286222i
\(743\) 21.9551i 0.805456i −0.915320 0.402728i \(-0.868062\pi\)
0.915320 0.402728i \(-0.131938\pi\)
\(744\) 0.544503 + 0.213614i 0.0199625 + 0.00783148i
\(745\) 5.64120 + 3.25695i 0.206678 + 0.119325i
\(746\) 25.6263 + 27.6160i 0.938246 + 1.01109i
\(747\) 18.2316 10.5260i 0.667058 0.385126i
\(748\) 14.2017 20.8342i 0.519264 0.761773i
\(749\) 3.14685 + 13.1715i 0.114983 + 0.481277i
\(750\) 1.28380 4.16266i 0.0468777 0.151999i
\(751\) 2.09527 1.20971i 0.0764576 0.0441428i −0.461284 0.887253i \(-0.652611\pi\)
0.537741 + 0.843110i \(0.319278\pi\)
\(752\) −33.4948 5.04216i −1.22143 0.183869i
\(753\) −28.3363 + 49.0799i −1.03263 + 1.78857i
\(754\) −28.2148 + 6.44123i −1.02752 + 0.234576i
\(755\) 7.14820i 0.260150i
\(756\) 9.04667 + 56.1262i 0.329024 + 2.04129i
\(757\) 12.1295i 0.440854i −0.975403 0.220427i \(-0.929255\pi\)
0.975403 0.220427i \(-0.0707451\pi\)
\(758\) −7.77549 34.0593i −0.282418 1.23709i
\(759\) 6.38470 11.0586i 0.231750 0.401403i
\(760\) −0.301369 1.99756i −0.0109318 0.0724593i
\(761\) −28.8033 + 16.6296i −1.04412 + 0.602823i −0.920997 0.389569i \(-0.872624\pi\)
−0.123122 + 0.992392i \(0.539291\pi\)
\(762\) −68.5287 21.1348i −2.48253 0.765634i
\(763\) −22.2911 23.5419i −0.806994 0.852274i
\(764\) −9.44558 + 13.8569i −0.341729 + 0.501324i
\(765\) 21.5676 12.4521i 0.779779 0.450206i
\(766\) −19.7479 + 18.3251i −0.713521 + 0.662113i
\(767\) 6.62954 + 3.82757i 0.239379 + 0.138205i
\(768\) −14.5092 + 47.0999i −0.523556 + 1.69957i
\(769\) 32.8673i 1.18523i 0.805487 + 0.592613i \(0.201904\pi\)
−0.805487 + 0.592613i \(0.798096\pi\)
\(770\) −0.793753 + 12.2632i −0.0286049 + 0.441936i
\(771\) 92.1529 3.31881
\(772\) −1.29104 + 17.2493i −0.0464657 + 0.620815i
\(773\) 13.9148 24.1011i 0.500480 0.866857i −0.499520 0.866302i \(-0.666490\pi\)
1.00000 0.000554379i \(-0.000176464\pi\)