Properties

Label 192.2.r.a.13.13
Level $192$
Weight $2$
Character 192.13
Analytic conductor $1.533$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 192 = 2^{6} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 192.r (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.53312771881\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 13.13
Character \(\chi\) \(=\) 192.13
Dual form 192.2.r.a.133.13

$q$-expansion

\(f(q)\) \(=\) \(q+(0.929504 + 1.06584i) q^{2} +(-0.831470 + 0.555570i) q^{3} +(-0.272044 + 1.98141i) q^{4} +(-4.03340 + 0.802293i) q^{5} +(-1.36501 - 0.369811i) q^{6} +(-0.0612023 - 0.147755i) q^{7} +(-2.36474 + 1.55177i) q^{8} +(0.382683 - 0.923880i) q^{9} +O(q^{10})\) \(q+(0.929504 + 1.06584i) q^{2} +(-0.831470 + 0.555570i) q^{3} +(-0.272044 + 1.98141i) q^{4} +(-4.03340 + 0.802293i) q^{5} +(-1.36501 - 0.369811i) q^{6} +(-0.0612023 - 0.147755i) q^{7} +(-2.36474 + 1.55177i) q^{8} +(0.382683 - 0.923880i) q^{9} +(-4.60418 - 3.55324i) q^{10} +(-0.294415 + 0.440623i) q^{11} +(-0.874617 - 1.79862i) q^{12} +(4.43463 + 0.882103i) q^{13} +(0.100596 - 0.202571i) q^{14} +(2.90792 - 2.90792i) q^{15} +(-3.85198 - 1.07806i) q^{16} +(4.35026 + 4.35026i) q^{17} +(1.34042 - 0.450869i) q^{18} +(-1.57072 + 7.89653i) q^{19} +(-0.492413 - 8.21009i) q^{20} +(0.132976 + 0.0888519i) q^{21} +(-0.743295 + 0.0957609i) q^{22} +(-4.54457 - 1.88242i) q^{23} +(1.10409 - 2.60403i) q^{24} +(11.0053 - 4.55853i) q^{25} +(3.18182 + 5.54654i) q^{26} +(0.195090 + 0.980785i) q^{27} +(0.309414 - 0.0810710i) q^{28} +(-0.558645 - 0.836071i) q^{29} +(5.80231 + 0.396463i) q^{30} -0.971497i q^{31} +(-2.43139 - 5.10767i) q^{32} -0.529933i q^{33} +(-0.593110 + 8.68028i) q^{34} +(0.365397 + 0.546855i) q^{35} +(1.72648 + 1.00959i) q^{36} +(-0.153493 - 0.771661i) q^{37} +(-9.87646 + 5.66572i) q^{38} +(-4.17733 + 1.73031i) q^{39} +(8.29297 - 8.15615i) q^{40} +(4.03464 + 1.67120i) q^{41} +(0.0288998 + 0.224320i) q^{42} +(-5.11173 - 3.41555i) q^{43} +(-0.792962 - 0.703226i) q^{44} +(-0.802293 + 4.03340i) q^{45} +(-2.21783 - 6.59352i) q^{46} +(-0.409517 - 0.409517i) q^{47} +(3.80175 - 1.24367i) q^{48} +(4.93166 - 4.93166i) q^{49} +(15.0881 + 7.49271i) q^{50} +(-6.03398 - 1.20023i) q^{51} +(-2.95422 + 8.54686i) q^{52} +(-1.55137 + 2.32179i) q^{53} +(-0.864026 + 1.11958i) q^{54} +(0.833984 - 2.01342i) q^{55} +(0.374011 + 0.254431i) q^{56} +(-3.08107 - 7.43837i) q^{57} +(0.371858 - 1.37256i) q^{58} +(7.20772 - 1.43370i) q^{59} +(4.97071 + 6.55287i) q^{60} +(3.19336 - 2.13373i) q^{61} +(1.03546 - 0.903010i) q^{62} -0.159929 q^{63} +(3.18399 - 7.33909i) q^{64} -18.5943 q^{65} +(0.564825 - 0.492575i) q^{66} +(10.2146 - 6.82514i) q^{67} +(-9.80311 + 7.43619i) q^{68} +(4.82449 - 0.959650i) q^{69} +(-0.243224 + 0.897759i) q^{70} +(3.81060 + 9.19961i) q^{71} +(0.528706 + 2.77857i) q^{72} +(-5.05384 + 12.2011i) q^{73} +(0.679798 - 0.880862i) q^{74} +(-6.61795 + 9.90447i) q^{75} +(-15.2190 - 5.26044i) q^{76} +(0.0831233 + 0.0165342i) q^{77} +(-5.72708 - 2.84405i) q^{78} +(-1.43481 + 1.43481i) q^{79} +(16.4015 + 1.25783i) q^{80} +(-0.707107 - 0.707107i) q^{81} +(1.96897 + 5.85368i) q^{82} +(-1.31569 + 6.61440i) q^{83} +(-0.212228 + 0.239309i) q^{84} +(-21.0365 - 14.0562i) q^{85} +(-1.11094 - 8.62308i) q^{86} +(0.928992 + 0.384801i) q^{87} +(0.0124669 - 1.49882i) q^{88} +(8.40267 - 3.48050i) q^{89} +(-5.04471 + 2.89394i) q^{90} +(-0.141074 - 0.709227i) q^{91} +(4.96617 - 8.49256i) q^{92} +(0.539735 + 0.807770i) q^{93} +(0.0558331 - 0.817128i) q^{94} -33.1101i q^{95} +(4.85930 + 2.89607i) q^{96} -1.21732i q^{97} +(9.84038 + 0.672378i) q^{98} +(0.294415 + 0.440623i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128q + O(q^{10}) \) \( 128q - 16q^{22} - 80q^{26} - 80q^{28} - 80q^{32} - 80q^{34} - 80q^{38} - 80q^{40} - 16q^{44} + 48q^{50} - 32q^{51} + 48q^{52} + 16q^{54} - 64q^{55} + 112q^{56} - 128q^{59} + 96q^{60} + 96q^{62} - 32q^{63} + 96q^{64} + 96q^{66} - 32q^{67} + 96q^{68} + 96q^{70} - 128q^{71} + 112q^{74} - 64q^{75} + 16q^{76} + 48q^{78} - 32q^{79} + 48q^{80} - 80q^{82} - 80q^{88} - 96q^{94} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(133\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.929504 + 1.06584i 0.657259 + 0.753665i
\(3\) −0.831470 + 0.555570i −0.480049 + 0.320759i
\(4\) −0.272044 + 1.98141i −0.136022 + 0.990706i
\(5\) −4.03340 + 0.802293i −1.80379 + 0.358797i −0.978554 0.205989i \(-0.933959\pi\)
−0.825238 + 0.564786i \(0.808959\pi\)
\(6\) −1.36501 0.369811i −0.557261 0.150975i
\(7\) −0.0612023 0.147755i −0.0231323 0.0558463i 0.911891 0.410432i \(-0.134622\pi\)
−0.935024 + 0.354585i \(0.884622\pi\)
\(8\) −2.36474 + 1.55177i −0.836062 + 0.548635i
\(9\) 0.382683 0.923880i 0.127561 0.307960i
\(10\) −4.60418 3.55324i −1.45597 1.12363i
\(11\) −0.294415 + 0.440623i −0.0887694 + 0.132853i −0.873197 0.487368i \(-0.837957\pi\)
0.784427 + 0.620221i \(0.212957\pi\)
\(12\) −0.874617 1.79862i −0.252480 0.519218i
\(13\) 4.43463 + 0.882103i 1.22995 + 0.244651i 0.766948 0.641709i \(-0.221774\pi\)
0.462997 + 0.886360i \(0.346774\pi\)
\(14\) 0.100596 0.202571i 0.0268855 0.0541395i
\(15\) 2.90792 2.90792i 0.750822 0.750822i
\(16\) −3.85198 1.07806i −0.962996 0.269515i
\(17\) 4.35026 + 4.35026i 1.05509 + 1.05509i 0.998391 + 0.0567015i \(0.0180583\pi\)
0.0567015 + 0.998391i \(0.481942\pi\)
\(18\) 1.34042 0.450869i 0.315939 0.106271i
\(19\) −1.57072 + 7.89653i −0.360347 + 1.81159i 0.195959 + 0.980612i \(0.437218\pi\)
−0.556307 + 0.830977i \(0.687782\pi\)
\(20\) −0.492413 8.21009i −0.110107 1.83583i
\(21\) 0.132976 + 0.0888519i 0.0290178 + 0.0193891i
\(22\) −0.743295 + 0.0957609i −0.158471 + 0.0204163i
\(23\) −4.54457 1.88242i −0.947608 0.392512i −0.145277 0.989391i \(-0.546407\pi\)
−0.802331 + 0.596879i \(0.796407\pi\)
\(24\) 1.10409 2.60403i 0.225371 0.531546i
\(25\) 11.0053 4.55853i 2.20105 0.911705i
\(26\) 3.18182 + 5.54654i 0.624007 + 1.08777i
\(27\) 0.195090 + 0.980785i 0.0375451 + 0.188752i
\(28\) 0.309414 0.0810710i 0.0584737 0.0153210i
\(29\) −0.558645 0.836071i −0.103738 0.155254i 0.775969 0.630771i \(-0.217261\pi\)
−0.879707 + 0.475516i \(0.842261\pi\)
\(30\) 5.80231 + 0.396463i 1.05935 + 0.0723839i
\(31\) 0.971497i 0.174486i −0.996187 0.0872430i \(-0.972194\pi\)
0.996187 0.0872430i \(-0.0278057\pi\)
\(32\) −2.43139 5.10767i −0.429814 0.902918i
\(33\) 0.529933i 0.0922495i
\(34\) −0.593110 + 8.68028i −0.101717 + 1.48866i
\(35\) 0.365397 + 0.546855i 0.0617633 + 0.0924353i
\(36\) 1.72648 + 1.00959i 0.287747 + 0.168265i
\(37\) −0.153493 0.771661i −0.0252341 0.126860i 0.966115 0.258112i \(-0.0831004\pi\)
−0.991349 + 0.131252i \(0.958100\pi\)
\(38\) −9.87646 + 5.66572i −1.60217 + 0.919102i
\(39\) −4.17733 + 1.73031i −0.668908 + 0.277071i
\(40\) 8.29297 8.15615i 1.31123 1.28960i
\(41\) 4.03464 + 1.67120i 0.630104 + 0.260998i 0.674797 0.738003i \(-0.264231\pi\)
−0.0446932 + 0.999001i \(0.514231\pi\)
\(42\) 0.0288998 + 0.224320i 0.00445934 + 0.0346134i
\(43\) −5.11173 3.41555i −0.779532 0.520867i 0.100981 0.994888i \(-0.467802\pi\)
−0.880513 + 0.474022i \(0.842802\pi\)
\(44\) −0.792962 0.703226i −0.119543 0.106015i
\(45\) −0.802293 + 4.03340i −0.119599 + 0.601264i
\(46\) −2.21783 6.59352i −0.327001 0.972161i
\(47\) −0.409517 0.409517i −0.0597341 0.0597341i 0.676609 0.736343i \(-0.263449\pi\)
−0.736343 + 0.676609i \(0.763449\pi\)
\(48\) 3.80175 1.24367i 0.548735 0.179509i
\(49\) 4.93166 4.93166i 0.704523 0.704523i
\(50\) 15.0881 + 7.49271i 2.13378 + 1.05963i
\(51\) −6.03398 1.20023i −0.844926 0.168066i
\(52\) −2.95422 + 8.54686i −0.409677 + 1.18524i
\(53\) −1.55137 + 2.32179i −0.213098 + 0.318923i −0.922584 0.385796i \(-0.873927\pi\)
0.709487 + 0.704719i \(0.248927\pi\)
\(54\) −0.864026 + 1.11958i −0.117579 + 0.152356i
\(55\) 0.833984 2.01342i 0.112454 0.271489i
\(56\) 0.374011 + 0.254431i 0.0499793 + 0.0339998i
\(57\) −3.08107 7.43837i −0.408098 0.985237i
\(58\) 0.371858 1.37256i 0.0488273 0.180226i
\(59\) 7.20772 1.43370i 0.938365 0.186652i 0.297863 0.954609i \(-0.403726\pi\)
0.640502 + 0.767956i \(0.278726\pi\)
\(60\) 4.97071 + 6.55287i 0.641715 + 0.845972i
\(61\) 3.19336 2.13373i 0.408868 0.273197i −0.334082 0.942544i \(-0.608426\pi\)
0.742950 + 0.669347i \(0.233426\pi\)
\(62\) 1.03546 0.903010i 0.131504 0.114682i
\(63\) −0.159929 −0.0201492
\(64\) 3.18399 7.33909i 0.397999 0.917386i
\(65\) −18.5943 −2.30634
\(66\) 0.564825 0.492575i 0.0695252 0.0606318i
\(67\) 10.2146 6.82514i 1.24791 0.833824i 0.256744 0.966480i \(-0.417350\pi\)
0.991162 + 0.132655i \(0.0423504\pi\)
\(68\) −9.80311 + 7.43619i −1.18880 + 0.901771i
\(69\) 4.82449 0.959650i 0.580800 0.115528i
\(70\) −0.243224 + 0.897759i −0.0290708 + 0.107303i
\(71\) 3.81060 + 9.19961i 0.452235 + 1.09179i 0.971470 + 0.237161i \(0.0762169\pi\)
−0.519235 + 0.854632i \(0.673783\pi\)
\(72\) 0.528706 + 2.77857i 0.0623086 + 0.327458i
\(73\) −5.05384 + 12.2011i −0.591507 + 1.42803i 0.290539 + 0.956863i \(0.406165\pi\)
−0.882047 + 0.471162i \(0.843835\pi\)
\(74\) 0.679798 0.880862i 0.0790249 0.102398i
\(75\) −6.61795 + 9.90447i −0.764175 + 1.14367i
\(76\) −15.2190 5.26044i −1.74574 0.603414i
\(77\) 0.0831233 + 0.0165342i 0.00947278 + 0.00188425i
\(78\) −5.72708 2.84405i −0.648464 0.322025i
\(79\) −1.43481 + 1.43481i −0.161429 + 0.161429i −0.783199 0.621771i \(-0.786414\pi\)
0.621771 + 0.783199i \(0.286414\pi\)
\(80\) 16.4015 + 1.25783i 1.83375 + 0.140630i
\(81\) −0.707107 0.707107i −0.0785674 0.0785674i
\(82\) 1.96897 + 5.85368i 0.217437 + 0.646430i
\(83\) −1.31569 + 6.61440i −0.144415 + 0.726025i 0.838925 + 0.544248i \(0.183185\pi\)
−0.983340 + 0.181777i \(0.941815\pi\)
\(84\) −0.212228 + 0.239309i −0.0231559 + 0.0261108i
\(85\) −21.0365 14.0562i −2.28173 1.52460i
\(86\) −1.11094 8.62308i −0.119795 0.929850i
\(87\) 0.928992 + 0.384801i 0.0995984 + 0.0412550i
\(88\) 0.0124669 1.49882i 0.00132898 0.159775i
\(89\) 8.40267 3.48050i 0.890681 0.368932i 0.110052 0.993926i \(-0.464898\pi\)
0.780630 + 0.624994i \(0.214898\pi\)
\(90\) −5.04471 + 2.89394i −0.531759 + 0.305049i
\(91\) −0.141074 0.709227i −0.0147886 0.0743472i
\(92\) 4.96617 8.49256i 0.517759 0.885410i
\(93\) 0.539735 + 0.807770i 0.0559679 + 0.0837618i
\(94\) 0.0558331 0.817128i 0.00575874 0.0842803i
\(95\) 33.1101i 3.39702i
\(96\) 4.85930 + 2.89607i 0.495950 + 0.295579i
\(97\) 1.21732i 0.123600i −0.998089 0.0617999i \(-0.980316\pi\)
0.998089 0.0617999i \(-0.0196840\pi\)
\(98\) 9.84038 + 0.672378i 0.994028 + 0.0679204i
\(99\) 0.294415 + 0.440623i 0.0295898 + 0.0442843i
\(100\) 6.03841 + 23.0461i 0.603841 + 2.30461i
\(101\) −0.903088 4.54013i −0.0898606 0.451760i −0.999351 0.0360338i \(-0.988528\pi\)
0.909490 0.415726i \(-0.136472\pi\)
\(102\) −4.32935 7.54690i −0.428670 0.747255i
\(103\) −12.2443 + 5.07177i −1.20647 + 0.499736i −0.893084 0.449890i \(-0.851463\pi\)
−0.313386 + 0.949626i \(0.601463\pi\)
\(104\) −11.8556 + 4.79560i −1.16253 + 0.470248i
\(105\) −0.607632 0.251690i −0.0592988 0.0245624i
\(106\) −3.91668 + 0.504597i −0.380421 + 0.0490108i
\(107\) −8.83634 5.90426i −0.854242 0.570786i 0.0495438 0.998772i \(-0.484223\pi\)
−0.903785 + 0.427986i \(0.859223\pi\)
\(108\) −1.99641 + 0.119738i −0.192105 + 0.0115218i
\(109\) −1.10574 + 5.55892i −0.105910 + 0.532448i 0.891007 + 0.453990i \(0.150000\pi\)
−0.996917 + 0.0784581i \(0.975000\pi\)
\(110\) 2.92118 0.982583i 0.278523 0.0936856i
\(111\) 0.556337 + 0.556337i 0.0528052 + 0.0528052i
\(112\) 0.0764610 + 0.635131i 0.00722488 + 0.0600143i
\(113\) −4.55586 + 4.55586i −0.428579 + 0.428579i −0.888144 0.459565i \(-0.848005\pi\)
0.459565 + 0.888144i \(0.348005\pi\)
\(114\) 5.06427 10.1979i 0.474312 0.955125i
\(115\) 19.8403 + 3.94648i 1.85012 + 0.368012i
\(116\) 1.80858 0.879457i 0.167922 0.0816556i
\(117\) 2.51202 3.75950i 0.232236 0.347566i
\(118\) 8.22771 + 6.34966i 0.757422 + 0.584534i
\(119\) 0.376528 0.909020i 0.0345163 0.0833297i
\(120\) −2.36404 + 11.3889i −0.215806 + 1.03966i
\(121\) 4.10205 + 9.90322i 0.372914 + 0.900293i
\(122\) 5.24247 + 1.42030i 0.474631 + 0.128588i
\(123\) −4.28315 + 0.851971i −0.386198 + 0.0768196i
\(124\) 1.92493 + 0.264289i 0.172864 + 0.0237339i
\(125\) −23.6346 + 15.7921i −2.11394 + 1.41249i
\(126\) −0.148655 0.170460i −0.0132432 0.0151857i
\(127\) −7.96147 −0.706467 −0.353233 0.935535i \(-0.614918\pi\)
−0.353233 + 0.935535i \(0.614918\pi\)
\(128\) 10.7818 3.42808i 0.952990 0.303002i
\(129\) 6.14783 0.541286
\(130\) −17.2835 19.8187i −1.51587 1.73821i
\(131\) −0.738840 + 0.493677i −0.0645528 + 0.0431328i −0.587428 0.809277i \(-0.699859\pi\)
0.522875 + 0.852409i \(0.324859\pi\)
\(132\) 1.05001 + 0.144165i 0.0913921 + 0.0125479i
\(133\) 1.26289 0.251204i 0.109506 0.0217821i
\(134\) 16.7690 + 4.54311i 1.44862 + 0.392465i
\(135\) −1.57376 3.79938i −0.135447 0.326999i
\(136\) −17.0379 3.53661i −1.46098 0.303262i
\(137\) 4.85900 11.7307i 0.415133 1.00222i −0.568606 0.822610i \(-0.692517\pi\)
0.983738 0.179608i \(-0.0574830\pi\)
\(138\) 5.50722 + 4.25015i 0.468806 + 0.361797i
\(139\) −4.39048 + 6.57082i −0.372396 + 0.557330i −0.969580 0.244774i \(-0.921286\pi\)
0.597184 + 0.802104i \(0.296286\pi\)
\(140\) −1.18295 + 0.575233i −0.0999773 + 0.0486160i
\(141\) 0.568016 + 0.112985i 0.0478356 + 0.00951509i
\(142\) −6.26337 + 12.6126i −0.525610 + 1.05842i
\(143\) −1.69430 + 1.69430i −0.141684 + 0.141684i
\(144\) −2.47009 + 3.14621i −0.205841 + 0.262184i
\(145\) 2.92401 + 2.92401i 0.242826 + 0.242826i
\(146\) −17.7020 + 5.95433i −1.46503 + 0.492784i
\(147\) −1.36064 + 6.84041i −0.112224 + 0.564188i
\(148\) 1.57074 0.0942073i 0.129114 0.00774379i
\(149\) 9.54742 + 6.37938i 0.782155 + 0.522620i 0.881359 0.472448i \(-0.156629\pi\)
−0.0992033 + 0.995067i \(0.531629\pi\)
\(150\) −16.7080 + 2.15254i −1.36420 + 0.175754i
\(151\) 12.7205 + 5.26900i 1.03518 + 0.428785i 0.834579 0.550888i \(-0.185711\pi\)
0.200599 + 0.979673i \(0.435711\pi\)
\(152\) −8.53930 21.1107i −0.692629 1.71230i
\(153\) 5.68389 2.35434i 0.459515 0.190337i
\(154\) 0.0596405 + 0.103965i 0.00480597 + 0.00837774i
\(155\) 0.779425 + 3.91844i 0.0626050 + 0.314736i
\(156\) −2.29203 8.74773i −0.183510 0.700379i
\(157\) 2.05329 + 3.07297i 0.163871 + 0.245250i 0.904313 0.426870i \(-0.140384\pi\)
−0.740442 + 0.672120i \(0.765384\pi\)
\(158\) −2.86295 0.195621i −0.227764 0.0155627i
\(159\) 2.79240i 0.221452i
\(160\) 13.9046 + 18.6506i 1.09926 + 1.47446i
\(161\) 0.786693i 0.0620001i
\(162\) 0.0964062 1.41092i 0.00757439 0.110853i
\(163\) 0.123694 + 0.185121i 0.00968844 + 0.0144998i 0.836282 0.548299i \(-0.184725\pi\)
−0.826594 + 0.562799i \(0.809725\pi\)
\(164\) −4.40893 + 7.53963i −0.344280 + 0.588747i
\(165\) 0.425162 + 2.13743i 0.0330988 + 0.166399i
\(166\) −8.27285 + 4.74580i −0.642097 + 0.368345i
\(167\) 15.5057 6.42268i 1.19987 0.497002i 0.308912 0.951091i \(-0.400035\pi\)
0.890956 + 0.454089i \(0.150035\pi\)
\(168\) −0.452333 0.00376242i −0.0348982 0.000290277i
\(169\) 6.87740 + 2.84871i 0.529031 + 0.219132i
\(170\) −4.57188 35.4869i −0.350647 2.72172i
\(171\) 6.69436 + 4.47303i 0.511930 + 0.342061i
\(172\) 8.15823 9.19927i 0.622059 0.701438i
\(173\) 2.78892 14.0208i 0.212037 1.06598i −0.717304 0.696761i \(-0.754624\pi\)
0.929341 0.369223i \(-0.120376\pi\)
\(174\) 0.453364 + 1.34783i 0.0343695 + 0.102179i
\(175\) −1.34709 1.34709i −0.101831 0.101831i
\(176\) 1.60910 1.37988i 0.121290 0.104012i
\(177\) −5.19647 + 5.19647i −0.390591 + 0.390591i
\(178\) 11.5200 + 5.72079i 0.863460 + 0.428791i
\(179\) 14.6864 + 2.92130i 1.09771 + 0.218348i 0.710538 0.703659i \(-0.248452\pi\)
0.387173 + 0.922007i \(0.373452\pi\)
\(180\) −7.77357 2.68693i −0.579408 0.200272i
\(181\) 0.866110 1.29623i 0.0643775 0.0963477i −0.797884 0.602811i \(-0.794047\pi\)
0.862262 + 0.506463i \(0.169047\pi\)
\(182\) 0.624796 0.809592i 0.0463130 0.0600110i
\(183\) −1.46974 + 3.54827i −0.108646 + 0.262296i
\(184\) 13.6678 2.60071i 1.00760 0.191727i
\(185\) 1.23820 + 2.98927i 0.0910341 + 0.219776i
\(186\) −0.359270 + 1.32610i −0.0263430 + 0.0972342i
\(187\) −3.19760 + 0.636043i −0.233832 + 0.0465121i
\(188\) 0.922828 0.700015i 0.0673041 0.0510538i
\(189\) 0.132976 0.0888519i 0.00967260 0.00646303i
\(190\) 35.2901 30.7760i 2.56022 2.23272i
\(191\) 26.1299 1.89069 0.945345 0.326072i \(-0.105725\pi\)
0.945345 + 0.326072i \(0.105725\pi\)
\(192\) 1.42999 + 7.87116i 0.103200 + 0.568052i
\(193\) −3.00179 −0.216073 −0.108037 0.994147i \(-0.534456\pi\)
−0.108037 + 0.994147i \(0.534456\pi\)
\(194\) 1.29747 1.13150i 0.0931528 0.0812370i
\(195\) 15.4606 10.3305i 1.10716 0.739780i
\(196\) 8.43002 + 11.1133i 0.602145 + 0.793806i
\(197\) 15.5847 3.09998i 1.11036 0.220865i 0.394355 0.918958i \(-0.370968\pi\)
0.716007 + 0.698093i \(0.245968\pi\)
\(198\) −0.195975 + 0.723361i −0.0139273 + 0.0514070i
\(199\) −7.11704 17.1820i −0.504513 1.21800i −0.947002 0.321229i \(-0.895904\pi\)
0.442488 0.896774i \(-0.354096\pi\)
\(200\) −18.9508 + 27.8574i −1.34002 + 1.96982i
\(201\) −4.70124 + 11.3498i −0.331600 + 0.800553i
\(202\) 3.99964 5.18262i 0.281414 0.364648i
\(203\) −0.0893436 + 0.133712i −0.00627069 + 0.00938476i
\(204\) 4.01966 11.6293i 0.281433 0.814213i
\(205\) −17.6141 3.50366i −1.23022 0.244706i
\(206\) −16.7869 8.33631i −1.16960 0.580818i
\(207\) −3.47826 + 3.47826i −0.241756 + 0.241756i
\(208\) −16.1312 8.17865i −1.11850 0.567087i
\(209\) −3.01695 3.01695i −0.208687 0.208687i
\(210\) −0.296535 0.881587i −0.0204629 0.0608353i
\(211\) 2.63480 13.2460i 0.181387 0.911895i −0.777668 0.628675i \(-0.783597\pi\)
0.959055 0.283220i \(-0.0914025\pi\)
\(212\) −4.17839 3.70554i −0.286973 0.254497i
\(213\) −8.27943 5.53214i −0.567297 0.379056i
\(214\) −1.92041 14.9062i −0.131276 1.01897i
\(215\) 23.3580 + 9.67518i 1.59300 + 0.659842i
\(216\) −1.98330 2.01657i −0.134946 0.137210i
\(217\) −0.143544 + 0.0594578i −0.00974439 + 0.00403626i
\(218\) −6.95272 + 3.98849i −0.470898 + 0.270135i
\(219\) −2.57643 12.9526i −0.174099 0.875253i
\(220\) 3.76253 + 2.20020i 0.253670 + 0.148338i
\(221\) 15.4544 + 23.1292i 1.03958 + 1.55584i
\(222\) −0.0758504 + 1.11009i −0.00509075 + 0.0745041i
\(223\) 15.5839i 1.04358i 0.853075 + 0.521788i \(0.174735\pi\)
−0.853075 + 0.521788i \(0.825265\pi\)
\(224\) −0.605880 + 0.671853i −0.0404820 + 0.0448900i
\(225\) 11.9120i 0.794133i
\(226\) −9.09053 0.621141i −0.604693 0.0413177i
\(227\) −2.68903 4.02442i −0.178477 0.267110i 0.731435 0.681912i \(-0.238851\pi\)
−0.909912 + 0.414801i \(0.863851\pi\)
\(228\) 15.5767 4.08132i 1.03159 0.270292i
\(229\) −4.60850 23.1685i −0.304538 1.53102i −0.765406 0.643548i \(-0.777462\pi\)
0.460868 0.887469i \(-0.347538\pi\)
\(230\) 14.2353 + 24.8149i 0.938650 + 1.63625i
\(231\) −0.0783004 + 0.0324331i −0.00515179 + 0.00213394i
\(232\) 2.61844 + 1.11020i 0.171909 + 0.0728882i
\(233\) −24.5900 10.1855i −1.61095 0.667276i −0.618037 0.786149i \(-0.712072\pi\)
−0.992910 + 0.118873i \(0.962072\pi\)
\(234\) 6.34196 0.817054i 0.414587 0.0534125i
\(235\) 1.98030 + 1.32319i 0.129180 + 0.0863156i
\(236\) 0.879945 + 14.6715i 0.0572795 + 0.955032i
\(237\) 0.395864 1.99014i 0.0257141 0.129274i
\(238\) 1.31886 0.443618i 0.0854888 0.0287555i
\(239\) −3.60679 3.60679i −0.233304 0.233304i 0.580766 0.814070i \(-0.302753\pi\)
−0.814070 + 0.580766i \(0.802753\pi\)
\(240\) −14.3362 + 8.06635i −0.925396 + 0.520681i
\(241\) −7.86137 + 7.86137i −0.506396 + 0.506396i −0.913418 0.407023i \(-0.866567\pi\)
0.407023 + 0.913418i \(0.366567\pi\)
\(242\) −6.74241 + 13.5772i −0.433419 + 0.872777i
\(243\) 0.980785 + 0.195090i 0.0629174 + 0.0125150i
\(244\) 3.35907 + 6.90783i 0.215043 + 0.442228i
\(245\) −15.9347 + 23.8480i −1.01803 + 1.52359i
\(246\) −4.88927 3.77325i −0.311728 0.240574i
\(247\) −13.9311 + 33.6327i −0.886415 + 2.14000i
\(248\) 1.50754 + 2.29734i 0.0957291 + 0.145881i
\(249\) −2.58081 6.23063i −0.163552 0.394850i
\(250\) −38.8004 10.5119i −2.45395 0.664831i
\(251\) 7.60256 1.51224i 0.479870 0.0954520i 0.0507723 0.998710i \(-0.483832\pi\)
0.429097 + 0.903258i \(0.358832\pi\)
\(252\) 0.0435077 0.316886i 0.00274073 0.0199619i
\(253\) 2.16743 1.44823i 0.136265 0.0910493i
\(254\) −7.40022 8.48568i −0.464331 0.532439i
\(255\) 25.3004 1.58437
\(256\) 13.6756 + 8.30535i 0.854723 + 0.519084i
\(257\) −21.5954 −1.34708 −0.673541 0.739150i \(-0.735227\pi\)
−0.673541 + 0.739150i \(0.735227\pi\)
\(258\) 5.71444 + 6.55262i 0.355765 + 0.407949i
\(259\) −0.104623 + 0.0699069i −0.00650096 + 0.00434380i
\(260\) 5.05847 36.8431i 0.313713 2.28491i
\(261\) −0.986213 + 0.196170i −0.0610450 + 0.0121426i
\(262\) −1.21294 0.328613i −0.0749355 0.0203018i
\(263\) 1.07217 + 2.58844i 0.0661127 + 0.159610i 0.953483 0.301448i \(-0.0974699\pi\)
−0.887370 + 0.461058i \(0.847470\pi\)
\(264\) 0.822336 + 1.25315i 0.0506113 + 0.0771262i
\(265\) 4.39455 10.6094i 0.269955 0.651729i
\(266\) 1.44160 + 1.11254i 0.0883903 + 0.0682145i
\(267\) −5.05290 + 7.56220i −0.309233 + 0.462799i
\(268\) 10.7446 + 22.0960i 0.656332 + 1.34973i
\(269\) 14.3901 + 2.86237i 0.877380 + 0.174522i 0.613177 0.789946i \(-0.289891\pi\)
0.264203 + 0.964467i \(0.414891\pi\)
\(270\) 2.58673 5.20892i 0.157424 0.317005i
\(271\) −3.75306 + 3.75306i −0.227982 + 0.227982i −0.811849 0.583867i \(-0.801539\pi\)
0.583867 + 0.811849i \(0.301539\pi\)
\(272\) −12.0673 21.4470i −0.731687 1.30041i
\(273\) 0.511324 + 0.511324i 0.0309468 + 0.0309468i
\(274\) 17.0195 5.72477i 1.02819 0.345846i
\(275\) −1.23152 + 6.19127i −0.0742634 + 0.373347i
\(276\) 0.588991 + 9.82036i 0.0354531 + 0.591116i
\(277\) −14.9569 9.99386i −0.898671 0.600473i 0.0181216 0.999836i \(-0.494231\pi\)
−0.916793 + 0.399363i \(0.869231\pi\)
\(278\) −11.0844 + 1.42804i −0.664800 + 0.0856481i
\(279\) −0.897546 0.371776i −0.0537347 0.0222576i
\(280\) −1.71266 0.726156i −0.102351 0.0433961i
\(281\) 11.1334 4.61158i 0.664160 0.275104i −0.0250279 0.999687i \(-0.507967\pi\)
0.689188 + 0.724583i \(0.257967\pi\)
\(282\) 0.407549 + 0.710436i 0.0242692 + 0.0423059i
\(283\) −5.73960 28.8549i −0.341184 1.71525i −0.646430 0.762973i \(-0.723739\pi\)
0.305246 0.952273i \(-0.401261\pi\)
\(284\) −19.2649 + 5.04768i −1.14316 + 0.299525i
\(285\) 18.3950 + 27.5300i 1.08962 + 1.63074i
\(286\) −3.38071 0.230999i −0.199905 0.0136592i
\(287\) 0.698420i 0.0412265i
\(288\) −5.64933 + 0.291692i −0.332890 + 0.0171881i
\(289\) 20.8495i 1.22644i
\(290\) −0.398657 + 5.83442i −0.0234099 + 0.342609i
\(291\) 0.676305 + 1.01216i 0.0396457 + 0.0593339i
\(292\) −22.8004 13.3330i −1.33429 0.780252i
\(293\) 3.28132 + 16.4963i 0.191697 + 0.963724i 0.950102 + 0.311940i \(0.100979\pi\)
−0.758405 + 0.651783i \(0.774021\pi\)
\(294\) −8.55553 + 4.90796i −0.498969 + 0.286238i
\(295\) −27.9214 + 11.5654i −1.62564 + 0.673364i
\(296\) 1.56042 + 1.58659i 0.0906973 + 0.0922188i
\(297\) −0.489594 0.202796i −0.0284091 0.0117674i
\(298\) 2.07495 + 16.1057i 0.120198 + 0.932979i
\(299\) −18.4930 12.3566i −1.06948 0.714602i
\(300\) −17.8245 15.8073i −1.02910 0.912637i
\(301\) −0.191816 + 0.964326i −0.0110561 + 0.0555828i
\(302\) 6.20782 + 18.4556i 0.357220 + 1.06200i
\(303\) 3.27325 + 3.27325i 0.188043 + 0.188043i
\(304\) 14.5633 28.7240i 0.835264 1.64743i
\(305\) −11.1682 + 11.1682i −0.639490 + 0.639490i
\(306\) 7.79256 + 3.86976i 0.445471 + 0.221219i
\(307\) 1.03994 + 0.206857i 0.0593525 + 0.0118059i 0.224677 0.974433i \(-0.427867\pi\)
−0.165325 + 0.986239i \(0.552867\pi\)
\(308\) −0.0553743 + 0.160203i −0.00315524 + 0.00912844i
\(309\) 7.36307 11.0196i 0.418870 0.626884i
\(310\) −3.45196 + 4.47295i −0.196058 + 0.254046i
\(311\) 0.00613582 0.0148132i 0.000347931 0.000839979i −0.923705 0.383103i \(-0.874855\pi\)
0.924053 + 0.382263i \(0.124855\pi\)
\(312\) 7.19325 10.5740i 0.407238 0.598635i
\(313\) −5.70335 13.7691i −0.322372 0.778275i −0.999115 0.0420560i \(-0.986609\pi\)
0.676743 0.736219i \(-0.263391\pi\)
\(314\) −1.36676 + 5.04482i −0.0771307 + 0.284696i
\(315\) 0.645059 0.128310i 0.0363450 0.00722946i
\(316\) −2.45262 3.23328i −0.137971 0.181886i
\(317\) 19.9834 13.3525i 1.12238 0.749949i 0.151248 0.988496i \(-0.451671\pi\)
0.971131 + 0.238546i \(0.0766709\pi\)
\(318\) 2.97626 2.59555i 0.166900 0.145551i
\(319\) 0.532865 0.0298347
\(320\) −6.95421 + 32.1560i −0.388752 + 1.79757i
\(321\) 10.6274 0.593162
\(322\) −0.838491 + 0.731234i −0.0467273 + 0.0407501i
\(323\) −41.1850 + 27.5189i −2.29159 + 1.53119i
\(324\) 1.59343 1.20871i 0.0885241 0.0671503i
\(325\) 52.8253 10.5076i 2.93022 0.582857i
\(326\) −0.0823359 + 0.303909i −0.00456016 + 0.0168319i
\(327\) −2.16898 5.23639i −0.119945 0.289573i
\(328\) −12.1342 + 2.30889i −0.669999 + 0.127487i
\(329\) −0.0354449 + 0.0855716i −0.00195414 + 0.00471772i
\(330\) −1.88298 + 2.43991i −0.103654 + 0.134312i
\(331\) 5.73640 8.58513i 0.315301 0.471881i −0.639641 0.768674i \(-0.720917\pi\)
0.954942 + 0.296793i \(0.0959170\pi\)
\(332\) −12.7479 4.40632i −0.699633 0.241828i
\(333\) −0.771661 0.153493i −0.0422868 0.00841137i
\(334\) 21.2582 + 10.5568i 1.16320 + 0.577640i
\(335\) −35.7236 + 35.7236i −1.95179 + 1.95179i
\(336\) −0.416435 0.485613i −0.0227184 0.0264924i
\(337\) 18.1565 + 18.1565i 0.989049 + 0.989049i 0.999941 0.0108916i \(-0.00346698\pi\)
−0.0108916 + 0.999941i \(0.503467\pi\)
\(338\) 3.35629 + 9.97813i 0.182558 + 0.542738i
\(339\) 1.25696 6.31916i 0.0682687 0.343210i
\(340\) 33.5739 37.8581i 1.82080 2.05315i
\(341\) 0.428064 + 0.286023i 0.0231810 + 0.0154890i
\(342\) 1.45489 + 11.2928i 0.0786714 + 0.610647i
\(343\) −2.06480 0.855267i −0.111489 0.0461801i
\(344\) 17.3881 + 0.144631i 0.937503 + 0.00779797i
\(345\) −18.6892 + 7.74131i −1.00619 + 0.416778i
\(346\) 17.5363 10.0599i 0.942758 0.540822i
\(347\) −6.03964 30.3633i −0.324225 1.62999i −0.707754 0.706459i \(-0.750291\pi\)
0.383529 0.923529i \(-0.374709\pi\)
\(348\) −1.01518 + 1.73603i −0.0544191 + 0.0930611i
\(349\) −2.58857 3.87407i −0.138563 0.207374i 0.755698 0.654920i \(-0.227298\pi\)
−0.894261 + 0.447547i \(0.852298\pi\)
\(350\) 0.183661 2.68792i 0.00981711 0.143675i
\(351\) 4.52151i 0.241340i
\(352\) 2.96640 + 0.432448i 0.158109 + 0.0230495i
\(353\) 23.4512i 1.24818i −0.781352 0.624090i \(-0.785470\pi\)
0.781352 0.624090i \(-0.214530\pi\)
\(354\) −10.3688 0.708482i −0.551094 0.0376554i
\(355\) −22.7505 34.0485i −1.20747 1.80711i
\(356\) 4.61041 + 17.5960i 0.244351 + 0.932586i
\(357\) 0.191952 + 0.965010i 0.0101592 + 0.0510738i
\(358\) 10.5374 + 18.3687i 0.556919 + 0.970817i
\(359\) −17.3271 + 7.17713i −0.914490 + 0.378794i −0.789774 0.613398i \(-0.789802\pi\)
−0.124716 + 0.992192i \(0.539802\pi\)
\(360\) −4.36172 10.7829i −0.229883 0.568310i
\(361\) −42.3344 17.5355i −2.22813 0.922920i
\(362\) 2.18663 0.281710i 0.114927 0.0148063i
\(363\) −8.91267 5.95525i −0.467794 0.312570i
\(364\) 1.44365 0.0865851i 0.0756678 0.00453829i
\(365\) 10.5953 53.2664i 0.554586 2.78809i
\(366\) −5.14803 + 1.73162i −0.269092 + 0.0905131i
\(367\) 26.2985 + 26.2985i 1.37277 + 1.37277i 0.856313 + 0.516458i \(0.172750\pi\)
0.516458 + 0.856313i \(0.327250\pi\)
\(368\) 15.4762 + 12.1504i 0.806755 + 0.633382i
\(369\) 3.08798 3.08798i 0.160754 0.160754i
\(370\) −2.03519 + 4.09827i −0.105804 + 0.213059i
\(371\) 0.438005 + 0.0871247i 0.0227401 + 0.00452329i
\(372\) −1.74736 + 0.849688i −0.0905962 + 0.0440543i
\(373\) −15.8345 + 23.6980i −0.819879 + 1.22704i 0.151253 + 0.988495i \(0.451669\pi\)
−0.971132 + 0.238541i \(0.923331\pi\)
\(374\) −3.65011 2.81694i −0.188743 0.145661i
\(375\) 10.8778 26.2613i 0.561727 1.35613i
\(376\) 1.60388 + 0.332923i 0.0827137 + 0.0171692i
\(377\) −1.73988 4.20045i −0.0896085 0.216334i
\(378\) 0.218304 + 0.0591437i 0.0112284 + 0.00304202i
\(379\) 16.5739 3.29675i 0.851343 0.169343i 0.249913 0.968268i \(-0.419598\pi\)
0.601430 + 0.798926i \(0.294598\pi\)
\(380\) 65.6047 + 9.00738i 3.36545 + 0.462069i
\(381\) 6.61972 4.42316i 0.339139 0.226605i
\(382\) 24.2878 + 27.8503i 1.24267 + 1.42495i
\(383\) −17.4182 −0.890029 −0.445014 0.895523i \(-0.646801\pi\)
−0.445014 + 0.895523i \(0.646801\pi\)
\(384\) −7.06024 + 8.84042i −0.360291 + 0.451136i
\(385\) −0.348535 −0.0177630
\(386\) −2.79018 3.19944i −0.142016 0.162847i
\(387\) −5.11173 + 3.41555i −0.259844 + 0.173622i
\(388\) 2.41200 + 0.331163i 0.122451 + 0.0168123i
\(389\) −12.4269 + 2.47187i −0.630070 + 0.125329i −0.499787 0.866148i \(-0.666588\pi\)
−0.130283 + 0.991477i \(0.541588\pi\)
\(390\) 25.3814 + 6.87640i 1.28524 + 0.348200i
\(391\) −11.5810 27.9591i −0.585678 1.41395i
\(392\) −4.00927 + 19.3149i −0.202499 + 0.975551i
\(393\) 0.340051 0.820955i 0.0171533 0.0414117i
\(394\) 17.7901 + 13.7294i 0.896253 + 0.691676i
\(395\) 4.63603 6.93831i 0.233264 0.349104i
\(396\) −0.953149 + 0.463488i −0.0478975 + 0.0232912i
\(397\) 17.2612 + 3.43346i 0.866314 + 0.172321i 0.608190 0.793791i \(-0.291896\pi\)
0.258124 + 0.966112i \(0.416896\pi\)
\(398\) 11.6981 23.5564i 0.586370 1.18078i
\(399\) −0.910491 + 0.910491i −0.0455816 + 0.0455816i
\(400\) −47.3064 + 5.69504i −2.36532 + 0.284752i
\(401\) −0.360223 0.360223i −0.0179887 0.0179887i 0.698055 0.716044i \(-0.254049\pi\)
−0.716044 + 0.698055i \(0.754049\pi\)
\(402\) −16.4669 + 5.53890i −0.821296 + 0.276255i
\(403\) 0.856960 4.30823i 0.0426882 0.214608i
\(404\) 9.24154 0.554276i 0.459784 0.0275762i
\(405\) 3.41935 + 2.28474i 0.169909 + 0.113530i
\(406\) −0.225562 + 0.0290598i −0.0111944 + 0.00144221i
\(407\) 0.385202 + 0.159556i 0.0190938 + 0.00790890i
\(408\) 16.1313 6.52514i 0.798618 0.323043i
\(409\) 4.87452 2.01909i 0.241029 0.0998376i −0.258899 0.965904i \(-0.583360\pi\)
0.499928 + 0.866067i \(0.333360\pi\)
\(410\) −12.6380 22.0305i −0.624148 1.08801i
\(411\) 2.47710 + 12.4532i 0.122186 + 0.614272i
\(412\) −6.71827 25.6408i −0.330985 1.26323i
\(413\) −0.652966 0.977233i −0.0321304 0.0480865i
\(414\) −6.94034 0.474223i −0.341099 0.0233068i
\(415\) 27.7341i 1.36141i
\(416\) −6.27683 24.7954i −0.307747 1.21569i
\(417\) 7.90266i 0.386995i
\(418\) 0.411328 6.01987i 0.0201187 0.294441i
\(419\) 4.63467 + 6.93628i 0.226419 + 0.338859i 0.927233 0.374484i \(-0.122180\pi\)
−0.700815 + 0.713343i \(0.747180\pi\)
\(420\) 0.664003 1.13550i 0.0324000 0.0554067i
\(421\) 3.45295 + 17.3591i 0.168286 + 0.846033i 0.969014 + 0.247005i \(0.0794463\pi\)
−0.800728 + 0.599028i \(0.795554\pi\)
\(422\) 16.5673 9.50397i 0.806482 0.462646i
\(423\) −0.535059 + 0.221629i −0.0260155 + 0.0107760i
\(424\) 0.0656926 7.89782i 0.00319031 0.383552i
\(425\) 67.7065 + 28.0449i 3.28425 + 1.36038i
\(426\) −1.79937 13.9667i −0.0871799 0.676690i
\(427\) −0.510711 0.341246i −0.0247151 0.0165141i
\(428\) 14.1026 15.9022i 0.681676 0.768663i
\(429\) 0.467455 2.35006i 0.0225689 0.113462i
\(430\) 11.3991 + 33.8890i 0.549713 + 1.63427i
\(431\) −8.86022 8.86022i −0.426782 0.426782i 0.460749 0.887531i \(-0.347581\pi\)
−0.887531 + 0.460749i \(0.847581\pi\)
\(432\) 0.305861 3.98829i 0.0147158 0.191887i
\(433\) 6.64880 6.64880i 0.319521 0.319521i −0.529062 0.848583i \(-0.677456\pi\)
0.848583 + 0.529062i \(0.177456\pi\)
\(434\) −0.196797 0.0977290i −0.00944657 0.00469114i
\(435\) −4.05572 0.806733i −0.194457 0.0386799i
\(436\) −10.7137 3.70319i −0.513093 0.177351i
\(437\) 22.0028 32.9296i 1.05254 1.57524i
\(438\) 11.4106 14.7855i 0.545220 0.706480i
\(439\) −5.18915 + 12.5277i −0.247664 + 0.597915i −0.998005 0.0631368i \(-0.979890\pi\)
0.750340 + 0.661052i \(0.229890\pi\)
\(440\) 1.15221 + 6.05536i 0.0549296 + 0.288678i
\(441\) −2.66900 6.44353i −0.127095 0.306835i
\(442\) −10.2871 + 37.9706i −0.489308 + 1.80608i
\(443\) 3.79768 0.755406i 0.180433 0.0358904i −0.104047 0.994572i \(-0.533179\pi\)
0.284480 + 0.958682i \(0.408179\pi\)
\(444\) −1.25368 + 0.950985i −0.0594970 + 0.0451317i
\(445\) −31.0990 + 20.7797i −1.47423 + 0.985051i
\(446\) −16.6100 + 14.4853i −0.786506 + 0.685899i
\(447\) −11.4826 −0.543108
\(448\) −1.27926 0.0212827i −0.0604392 0.00100551i
\(449\) 14.9436 0.705231 0.352615 0.935768i \(-0.385292\pi\)
0.352615 + 0.935768i \(0.385292\pi\)
\(450\) 12.6963 11.0723i 0.598511 0.521951i
\(451\) −1.92423 + 1.28573i −0.0906083 + 0.0605425i
\(452\) −7.78764 10.2664i −0.366300 0.482892i
\(453\) −13.5040 + 2.68611i −0.634473 + 0.126205i
\(454\) 1.78994 6.60681i 0.0840058 0.310073i
\(455\) 1.13802 + 2.74741i 0.0533510 + 0.128801i
\(456\) 18.8286 + 12.8087i 0.881731 + 0.599822i
\(457\) −9.64011 + 23.2733i −0.450945 + 1.08868i 0.521018 + 0.853546i \(0.325552\pi\)
−0.971963 + 0.235132i \(0.924448\pi\)
\(458\) 20.4104 26.4471i 0.953713 1.23579i
\(459\) −3.41798 + 5.11536i −0.159537 + 0.238765i
\(460\) −13.2170 + 38.2382i −0.616248 + 1.78287i
\(461\) −26.5707 5.28525i −1.23752 0.246158i −0.467395 0.884049i \(-0.654807\pi\)
−0.770127 + 0.637890i \(0.779807\pi\)
\(462\) −0.107349 0.0533093i −0.00499434 0.00248017i
\(463\) 25.5671 25.5671i 1.18820 1.18820i 0.210640 0.977564i \(-0.432445\pi\)
0.977564 0.210640i \(-0.0675548\pi\)
\(464\) 1.25056 + 3.82278i 0.0580556 + 0.177468i
\(465\) −2.82503 2.82503i −0.131008 0.131008i
\(466\) −12.0004 35.6766i −0.555906 1.65269i
\(467\) −4.80271 + 24.1448i −0.222243 + 1.11729i 0.695015 + 0.718995i \(0.255398\pi\)
−0.917258 + 0.398294i \(0.869602\pi\)
\(468\) 6.76573 + 6.00009i 0.312746 + 0.277354i
\(469\) −1.63361 1.09154i −0.0754329 0.0504027i
\(470\) 0.430379 + 3.34060i 0.0198519 + 0.154090i
\(471\) −3.41450 1.41433i −0.157332 0.0651690i
\(472\) −14.8196 + 14.5751i −0.682127 + 0.670873i
\(473\) 3.00994 1.24676i 0.138397 0.0573260i
\(474\) 2.48914 1.42792i 0.114330 0.0655864i
\(475\) 18.7104 + 94.0635i 0.858492 + 4.31593i
\(476\) 1.69871 + 0.993351i 0.0778603 + 0.0455302i
\(477\) 1.55137 + 2.32179i 0.0710325 + 0.106308i
\(478\) 0.491746 7.19680i 0.0224919 0.329174i
\(479\) 13.7288i 0.627286i 0.949541 + 0.313643i \(0.101550\pi\)
−0.949541 + 0.313643i \(0.898450\pi\)
\(480\) −21.9230 7.78241i −1.00064 0.355217i
\(481\) 3.55743i 0.162205i
\(482\) −15.6862 1.07181i −0.714486 0.0488197i
\(483\) −0.437063 0.654111i −0.0198871 0.0297631i
\(484\) −20.7383 + 5.43374i −0.942650 + 0.246988i
\(485\) 0.976645 + 4.90992i 0.0443471 + 0.222948i
\(486\) 0.703708 + 1.22670i 0.0319209 + 0.0556443i
\(487\) 12.5172 5.18479i 0.567209 0.234945i −0.0806028 0.996746i \(-0.525685\pi\)
0.647811 + 0.761801i \(0.275685\pi\)
\(488\) −4.24039 + 10.0011i −0.191953 + 0.452728i
\(489\) −0.205695 0.0852017i −0.00930186 0.00385296i
\(490\) −40.2296 + 5.18290i −1.81739 + 0.234140i
\(491\) 15.3604 + 10.2635i 0.693205 + 0.463185i 0.851601 0.524191i \(-0.175632\pi\)
−0.158396 + 0.987376i \(0.550632\pi\)
\(492\) −0.522902 8.71845i −0.0235743 0.393058i
\(493\) 1.20688 6.06737i 0.0543549 0.273261i
\(494\) −48.7962 + 16.4133i −2.19544 + 0.738471i
\(495\) −1.54100 1.54100i −0.0692629 0.0692629i
\(496\) −1.04733 + 3.74219i −0.0470266 + 0.168029i
\(497\) 1.12607 1.12607i 0.0505113 0.0505113i
\(498\) 4.24200 8.54213i 0.190088 0.382782i
\(499\) −0.995163 0.197950i −0.0445496 0.00886147i 0.172765 0.984963i \(-0.444730\pi\)
−0.217315 + 0.976102i \(0.569730\pi\)
\(500\) −24.8610 51.1260i −1.11182 2.28642i
\(501\) −9.32429 + 13.9548i −0.416578 + 0.623454i
\(502\) 8.67843 + 6.69750i 0.387337 + 0.298924i
\(503\) −2.06266 + 4.97969i −0.0919693 + 0.222033i −0.963170 0.268894i \(-0.913342\pi\)
0.871201 + 0.490927i \(0.163342\pi\)
\(504\) 0.378191 0.248174i 0.0168460 0.0110546i
\(505\) 7.28503 + 17.5876i 0.324180 + 0.782639i
\(506\) 3.55822 + 0.964003i 0.158182 + 0.0428551i
\(507\) −7.30101 + 1.45226i −0.324249 + 0.0644972i
\(508\) 2.16587 15.7750i 0.0960949 0.699901i
\(509\) 18.9878 12.6872i 0.841618 0.562351i −0.0583555 0.998296i \(-0.518586\pi\)
0.899973 + 0.435945i \(0.143586\pi\)
\(510\) 23.5168 + 26.9663i 1.04134 + 1.19409i
\(511\) 2.11208 0.0934328
\(512\) 3.85930 + 22.2959i 0.170559 + 0.985348i
\(513\) −8.05124 −0.355471
\(514\) −20.0730 23.0173i −0.885381 1.01525i
\(515\) 45.3173 30.2800i 1.99692 1.33430i
\(516\) −1.67248 + 12.1814i −0.0736267 + 0.536256i
\(517\) 0.301010 0.0598747i 0.0132384 0.00263328i
\(518\) −0.171757 0.0465330i −0.00754658 0.00204454i
\(519\) 5.47065 + 13.2073i 0.240135 + 0.579737i
\(520\) 43.9708 28.8542i 1.92825 1.26534i
\(521\) −10.9734 + 26.4922i −0.480755 + 1.16064i 0.478496 + 0.878089i \(0.341182\pi\)
−0.959251 + 0.282555i \(0.908818\pi\)
\(522\) −1.12578 0.868807i −0.0492739 0.0380267i
\(523\) 5.85945 8.76928i 0.256216 0.383454i −0.680955 0.732325i \(-0.738435\pi\)
0.937171 + 0.348871i \(0.113435\pi\)
\(524\) −0.777181 1.59825i −0.0339513 0.0698198i
\(525\) 1.86847 + 0.371662i 0.0815468 + 0.0162207i
\(526\) −1.76229 + 3.54873i −0.0768395 + 0.154732i
\(527\) 4.22626 4.22626i 0.184099 0.184099i
\(528\) −0.571300 + 2.04129i −0.0248626 + 0.0888359i
\(529\) 0.846126 + 0.846126i 0.0367881 + 0.0367881i
\(530\) 15.3927 5.17757i 0.668616 0.224899i
\(531\) 1.43370 7.20772i 0.0622174 0.312788i
\(532\) 0.154178 + 2.57064i 0.00668446 + 0.111451i
\(533\) 16.4179 + 10.9701i 0.711140 + 0.475169i
\(534\) −12.7568 + 1.64350i −0.552042 + 0.0711211i
\(535\) 40.3775 + 16.7249i 1.74567 + 0.723080i
\(536\) −13.5637 + 31.9904i −0.585861 + 1.38177i
\(537\) −13.8343 + 5.73034i −0.596992 + 0.247282i
\(538\) 10.3248 + 17.9982i 0.445135 + 0.775956i
\(539\) 0.721049 + 3.62496i 0.0310578 + 0.156138i
\(540\) 7.95627 2.08466i 0.342383 0.0897095i
\(541\) −6.02666 9.01954i −0.259107 0.387780i 0.678994 0.734144i \(-0.262416\pi\)
−0.938100 + 0.346364i \(0.887416\pi\)
\(542\) −7.48867 0.511689i −0.321666 0.0219789i
\(543\) 1.55896i 0.0669013i
\(544\) 11.6425 32.7969i 0.499169 1.40615i
\(545\) 23.3085i 0.998425i
\(546\) −0.0697134 + 1.02027i −0.00298346 + 0.0436635i
\(547\) −19.8942 29.7737i −0.850612 1.27303i −0.960273 0.279062i \(-0.909976\pi\)
0.109661 0.993969i \(-0.465024\pi\)
\(548\) 21.9214 + 12.8189i 0.936437 + 0.547598i
\(549\) −0.749268 3.76682i −0.0319780 0.160764i
\(550\) −7.74362 + 4.44220i −0.330189 + 0.189416i
\(551\) 7.47954 3.09813i 0.318639 0.131985i
\(552\) −9.91950 + 9.75584i −0.422202 + 0.415236i
\(553\) 0.299815 + 0.124187i 0.0127494 + 0.00528099i
\(554\) −3.25059 25.2310i −0.138104 1.07196i
\(555\) −2.69028 1.79758i −0.114196 0.0763032i
\(556\) −11.8251 10.4869i −0.501496 0.444744i
\(557\) −1.70870 + 8.59023i −0.0724001 + 0.363980i −0.999953 0.00971252i \(-0.996908\pi\)
0.927553 + 0.373692i \(0.121908\pi\)
\(558\) −0.438018 1.30221i −0.0185428 0.0551270i
\(559\) −19.6558 19.6558i −0.831351 0.831351i
\(560\) −0.817959 2.50040i −0.0345651 0.105661i
\(561\) 2.30534 2.30534i 0.0973317 0.0973317i
\(562\) 15.2637 + 7.57992i 0.643861 + 0.319740i
\(563\) −41.7534 8.30527i −1.75970 0.350025i −0.793646 0.608380i \(-0.791820\pi\)
−0.966050 + 0.258355i \(0.916820\pi\)
\(564\) −0.378396 + 1.09474i −0.0159333 + 0.0460967i
\(565\) 14.7205 22.0308i 0.619295 0.926841i
\(566\) 25.4198 32.9383i 1.06848 1.38450i
\(567\) −0.0612023 + 0.147755i −0.00257025 + 0.00620514i
\(568\) −23.2868 15.8415i −0.977093 0.664694i
\(569\) −5.94155 14.3442i −0.249083 0.601339i 0.749044 0.662520i \(-0.230513\pi\)
−0.998127 + 0.0611815i \(0.980513\pi\)
\(570\) −12.2445 + 45.1954i −0.512865 + 1.89303i
\(571\) 9.57768 1.90512i 0.400813 0.0797267i 0.00943242 0.999956i \(-0.496998\pi\)
0.391381 + 0.920229i \(0.371998\pi\)
\(572\) −2.89617 3.81802i −0.121095 0.159639i
\(573\) −21.7262 + 14.5170i −0.907624 + 0.606455i
\(574\) 0.744407 0.649185i 0.0310709 0.0270964i
\(575\) −58.5952 −2.44359
\(576\) −5.56197 5.75017i −0.231749 0.239590i
\(577\) −16.1734 −0.673309 −0.336654 0.941628i \(-0.609295\pi\)
−0.336654 + 0.941628i \(0.609295\pi\)
\(578\) −22.2223 + 19.3797i −0.924326 + 0.806089i
\(579\) 2.49590 1.66770i 0.103726 0.0693074i
\(580\) −6.58913 + 4.99821i −0.273599 + 0.207540i
\(581\) 1.05784 0.210417i 0.0438864 0.00872955i
\(582\) −0.450177 + 1.66164i −0.0186604 + 0.0688773i
\(583\) −0.566289 1.36714i −0.0234533 0.0566212i
\(584\) −6.98227 36.6947i −0.288928 1.51844i
\(585\) −7.11575 + 17.1789i −0.294200 + 0.710262i
\(586\) −14.5325 + 18.8307i −0.600331 + 0.777891i
\(587\) −9.20074 + 13.7699i −0.379755 + 0.568344i −0.971279 0.237944i \(-0.923527\pi\)
0.591524 + 0.806288i \(0.298527\pi\)
\(588\) −13.1835 4.55688i −0.543679 0.187923i
\(589\) 7.67146 + 1.52595i 0.316097 + 0.0628756i
\(590\) −38.2799 19.0097i −1.57596 0.782617i
\(591\) −11.2359 + 11.2359i −0.462184 + 0.462184i
\(592\) −0.240645 + 3.13790i −0.00989046 + 0.128967i
\(593\) 11.5062 + 11.5062i 0.472505 + 0.472505i 0.902724 0.430219i \(-0.141564\pi\)
−0.430219 + 0.902724i \(0.641564\pi\)
\(594\) −0.238930 0.710331i −0.00980344 0.0291452i
\(595\) −0.789389 + 3.96853i −0.0323618 + 0.162694i
\(596\) −15.2375 + 17.1819i −0.624152 + 0.703798i
\(597\) 15.4634 + 10.3323i 0.632876 + 0.422874i
\(598\) −4.01909 31.1962i −0.164353 1.27571i
\(599\) 7.56518 + 3.13360i 0.309105 + 0.128035i 0.531843 0.846843i \(-0.321500\pi\)
−0.222738 + 0.974878i \(0.571500\pi\)
\(600\) 0.280236 33.6911i 0.0114406 1.37543i
\(601\) −0.465404 + 0.192777i −0.0189842 + 0.00786352i −0.392155 0.919899i \(-0.628270\pi\)
0.373171 + 0.927763i \(0.378270\pi\)
\(602\) −1.20611 + 0.691899i −0.0491576 + 0.0281997i
\(603\) −2.39667 12.0489i −0.0976000 0.490668i
\(604\) −13.9006 + 23.7711i −0.565607 + 0.967233i
\(605\) −24.4905 36.6526i −0.995680 1.49014i
\(606\) −0.446271 + 6.53127i −0.0181285 + 0.265315i
\(607\) 42.7312i 1.73441i 0.497955 + 0.867203i \(0.334084\pi\)
−0.497955 + 0.867203i \(0.665916\pi\)
\(608\) 44.1520 11.1769i 1.79060 0.453281i
\(609\) 0.160814i 0.00651652i
\(610\) −22.2845 1.52266i −0.902272 0.0616508i
\(611\) −1.45482 2.17729i −0.0588557 0.0880838i
\(612\) 3.11866 + 11.9026i 0.126064 + 0.481134i
\(613\) 4.44223 + 22.3326i 0.179420 + 0.902005i 0.960650 + 0.277762i \(0.0895926\pi\)
−0.781230 + 0.624243i \(0.785407\pi\)
\(614\) 0.746152 + 1.30069i 0.0301122 + 0.0524915i
\(615\) 16.5921 6.87268i 0.669059 0.277133i
\(616\) −0.222222 + 0.0898894i −0.00895359 + 0.00362175i
\(617\) −21.5245 8.91575i −0.866545 0.358935i −0.0952812 0.995450i \(-0.530375\pi\)
−0.771264 + 0.636516i \(0.780375\pi\)
\(618\) 18.5892 2.39490i 0.747766 0.0963369i
\(619\) −12.7526 8.52103i −0.512571 0.342489i 0.272235 0.962231i \(-0.412237\pi\)
−0.784806 + 0.619742i \(0.787237\pi\)
\(620\) −7.97607 + 0.478377i −0.320327 + 0.0192121i
\(621\) 0.959650 4.82449i 0.0385094 0.193600i
\(622\) 0.0214918 0.00722909i 0.000861743 0.000289860i
\(623\) −1.02853 1.02853i −0.0412070 0.0412070i
\(624\) 17.9564 2.16170i 0.718831 0.0865372i
\(625\) 40.5425 40.5425i 1.62170 1.62170i
\(626\) 9.37441 18.8773i 0.374677 0.754489i
\(627\) 4.18463 + 0.832375i 0.167118 + 0.0332419i
\(628\) −6.64740 + 3.23244i −0.265260 + 0.128988i
\(629\) 2.68919 4.02466i 0.107225 0.160474i
\(630\) 0.736344 + 0.568267i 0.0293366 + 0.0226403i
\(631\) 18.3438 44.2859i 0.730257 1.76300i 0.0885150 0.996075i \(-0.471788\pi\)
0.641742 0.766921i \(-0.278212\pi\)
\(632\) 1.16645 5.61946i 0.0463990 0.223530i
\(633\) 5.16835 + 12.4775i 0.205423 + 0.495936i
\(634\) 32.8063 + 8.88798i 1.30290 + 0.352987i
\(635\) 32.1118 6.38744i 1.27432 0.253478i
\(636\) 5.53289 + 0.759654i 0.219393 + 0.0301222i
\(637\) 26.2203 17.5199i 1.03889 0.694162i
\(638\) 0.495301 + 0.567951i 0.0196091 + 0.0224854i
\(639\) 9.95758 0.393916
\(640\) −40.7372 + 22.4770i −1.61028 + 0.888483i
\(641\) 6.36951 0.251580 0.125790 0.992057i \(-0.459853\pi\)
0.125790 + 0.992057i \(0.459853\pi\)
\(642\) 9.87820 + 11.3271i 0.389861 + 0.447046i
\(643\) −9.44521 + 6.31108i −0.372483 + 0.248885i −0.727695 0.685901i \(-0.759408\pi\)
0.355213 + 0.934786i \(0.384408\pi\)
\(644\) −1.55876 0.214015i −0.0614238 0.00843336i
\(645\) −24.7967 + 4.93236i −0.976368 + 0.194212i
\(646\) −67.6125 18.3178i −2.66018 0.720703i
\(647\) 10.9484 + 26.4317i 0.430425 + 1.03914i 0.979151 + 0.203136i \(0.0651134\pi\)
−0.548725 + 0.836003i \(0.684887\pi\)
\(648\) 2.76939 + 0.574853i 0.108792 + 0.0225824i
\(649\) −1.49034 + 3.59799i −0.0585008 + 0.141233i
\(650\) 60.3008 + 46.5366i 2.36519 + 1.82532i
\(651\) 0.0863194 0.129186i 0.00338312 0.00506320i
\(652\) −0.400451 + 0.194727i −0.0156829 + 0.00762611i
\(653\) −17.9473 3.56994i −0.702332 0.139702i −0.169009 0.985614i \(-0.554057\pi\)
−0.533323 + 0.845912i \(0.679057\pi\)
\(654\) 3.56509 7.17904i 0.139406 0.280723i
\(655\) 2.58396 2.58396i 0.100964 0.100964i
\(656\) −13.7397 10.7870i −0.536445 0.421162i
\(657\) 9.33828 + 9.33828i 0.364321 + 0.364321i
\(658\) −0.124152 + 0.0417605i −0.00483996 + 0.00162799i
\(659\) −4.08656 + 20.5445i −0.159190 + 0.800301i 0.815849 + 0.578265i \(0.196270\pi\)
−0.975039 + 0.222036i \(0.928730\pi\)
\(660\) −4.35079 + 0.260946i −0.169354 + 0.0101573i
\(661\) 28.6557 + 19.1471i 1.11458 + 0.744737i 0.969599 0.244698i \(-0.0786889\pi\)
0.144978 + 0.989435i \(0.453689\pi\)
\(662\) 14.4824 1.86581i 0.562875 0.0725168i
\(663\) −25.6997 10.6452i −0.998095 0.413425i
\(664\) −7.15280 17.6830i −0.277583 0.686233i
\(665\) −4.89219 + 2.02641i −0.189711 + 0.0785809i
\(666\) −0.553663 0.965143i −0.0214540 0.0373985i
\(667\) 0.964961 + 4.85119i 0.0373634 + 0.187839i
\(668\) 8.50774 + 32.4705i 0.329174 + 1.25632i
\(669\) −8.65795 12.9575i −0.334736 0.500968i
\(670\) −71.2810 4.87052i −2.75383 0.188165i
\(671\) 2.03527i 0.0785707i
\(672\) 0.130509 0.895234i 0.00503450 0.0345344i
\(673\) 25.9788i 1.00141i −0.865618 0.500704i \(-0.833074\pi\)
0.865618 0.500704i \(-0.166926\pi\)
\(674\) −2.47544 + 36.2286i −0.0953505 + 1.39547i
\(675\) 6.61795 + 9.90447i 0.254725 + 0.381223i
\(676\) −7.51543 + 12.8520i −0.289055 + 0.494307i
\(677\) 8.91804 + 44.8340i 0.342748 + 1.72311i 0.640055 + 0.768329i \(0.278911\pi\)
−0.297307 + 0.954782i \(0.596089\pi\)
\(678\) 7.90358 4.53397i 0.303535 0.174126i
\(679\) −0.179865 + 0.0745025i −0.00690258 + 0.00285914i
\(680\) 71.5579 + 0.595205i 2.74412 + 0.0228251i
\(681\) 4.47170 + 1.85224i 0.171356 + 0.0709779i
\(682\) 0.0930314 + 0.722108i 0.00356235 + 0.0276510i
\(683\) 38.6849 + 25.8484i 1.48024 + 0.989063i 0.993292 + 0.115630i \(0.0368886\pi\)
0.486944 + 0.873433i \(0.338111\pi\)
\(684\) −10.6841 + 12.0474i −0.408515 + 0.460645i
\(685\) −10.1869 + 51.2128i −0.389220 + 1.95674i
\(686\) −1.00766 2.99572i −0.0384725 0.114377i
\(687\) 16.7035 + 16.7035i 0.637280 + 0.637280i
\(688\) 16.0082 + 18.6674i 0.610305 + 0.711688i
\(689\) −8.92783 + 8.92783i −0.340123 + 0.340123i
\(690\) −25.6227 12.7241i −0.975439 0.484400i
\(691\) 49.8201 + 9.90983i 1.89525 + 0.376988i 0.997925 0.0643920i \(-0.0205108\pi\)
0.897320 + 0.441380i \(0.145511\pi\)
\(692\) 27.0223 + 9.34026i 1.02723 + 0.355064i
\(693\) 0.0470856 0.0704685i 0.00178863 0.00267688i
\(694\) 26.7487 34.6601i 1.01537 1.31568i
\(695\) 12.4368 30.0252i 0.471756 1.13892i
\(696\) −2.79395 + 0.531632i −0.105904 + 0.0201515i
\(697\) 10.2816 + 24.8219i 0.389442 + 0.940195i
\(698\) 1.72306 6.35997i 0.0652188 0.240728i
\(699\) 26.1046 5.19254i 0.987368 0.196400i
\(700\) 3.03561 2.30268i 0.114735 0.0870331i
\(701\) −13.5081 + 9.02580i −0.510193 + 0.340900i −0.783873 0.620921i \(-0.786759\pi\)
0.273681 + 0.961821i \(0.411759\pi\)
\(702\) −4.81922 + 4.20276i −0.181890 + 0.158623i
\(703\) 6.33455 0.238912
\(704\) 2.29636 + 3.56368i 0.0865472 + 0.134311i
\(705\) −2.38168 −0.0896994
\(706\) 24.9953 21.7980i 0.940710 0.820377i
\(707\) −0.615557 + 0.411302i −0.0231504 + 0.0154686i
\(708\) −8.88269 11.7100i −0.333832 0.440090i
\(709\) −23.8585 + 4.74575i −0.896025 + 0.178231i −0.621560 0.783366i \(-0.713501\pi\)
−0.274465 + 0.961597i \(0.588501\pi\)
\(710\) 15.1437 55.8967i 0.568333 2.09776i
\(711\) 0.776515 + 1.87467i 0.0291216 + 0.0703057i
\(712\) −14.4692 + 21.2695i −0.542255 + 0.797109i
\(713\) −1.82877 + 4.41503i −0.0684878 + 0.165344i
\(714\) −0.850129 + 1.10157i −0.0318153 + 0.0412253i
\(715\) 5.47445 8.19310i 0.204733 0.306404i
\(716\) −9.78363 + 28.3050i −0.365631 + 1.05781i
\(717\) 5.00276 + 0.995112i 0.186832 + 0.0371631i
\(718\) −23.7553 11.7968i −0.886541 0.440253i
\(719\) 12.2682 12.2682i 0.457528 0.457528i −0.440315 0.897843i \(-0.645133\pi\)
0.897843 + 0.440315i \(0.145133\pi\)
\(720\) 7.43867 14.6717i 0.277223 0.546781i
\(721\) 1.49876 + 1.49876i 0.0558168 + 0.0558168i
\(722\) −20.6599 61.4211i −0.768883 2.28586i
\(723\) 2.16895 10.9040i 0.0806640 0.405526i
\(724\) 2.33274 + 2.06875i 0.0866955 + 0.0768845i
\(725\) −9.95928 6.65458i −0.369878 0.247145i
\(726\) −1.93699 15.0349i −0.0718886 0.557999i
\(727\) −18.6584 7.72858i −0.692003 0.286637i 0.00883141 0.999961i \(-0.497189\pi\)
−0.700834 + 0.713324i \(0.747189\pi\)
\(728\) 1.43416 + 1.45822i 0.0531537 + 0.0540453i
\(729\) −0.923880 + 0.382683i −0.0342178 + 0.0141735i
\(730\) 66.6221 38.2184i 2.46579 1.41453i
\(731\) −7.37883 37.0959i −0.272916 1.37204i
\(732\) −6.63075 3.87745i −0.245080 0.143315i
\(733\) −14.1805 21.2227i −0.523770 0.783877i 0.471413 0.881913i \(-0.343744\pi\)
−0.995183 + 0.0980356i \(0.968744\pi\)
\(734\) −3.58551 + 52.4746i −0.132344 + 1.93687i
\(735\) 28.6818i 1.05794i
\(736\) 1.43483 + 27.7891i 0.0528886 + 1.02432i
\(737\) 6.51019i 0.239806i
\(738\) 6.16159 + 0.421011i 0.226811 + 0.0154976i
\(739\) 0.668624 + 1.00067i 0.0245957 + 0.0368101i 0.843564 0.537029i \(-0.180453\pi\)
−0.818968 + 0.573839i \(0.805453\pi\)
\(740\) −6.25983 + 1.64017i −0.230116 + 0.0602937i
\(741\) −7.10202 35.7043i −0.260899 1.31163i
\(742\) 0.314266 + 0.547828i 0.0115371 + 0.0201114i
\(743\) −1.17547 + 0.486897i −0.0431239 + 0.0178625i −0.404141 0.914697i \(-0.632430\pi\)
0.361017 + 0.932559i \(0.382430\pi\)
\(744\) −2.52981 1.07262i −0.0927473 0.0393241i
\(745\) −43.6267 18.0708i −1.59836 0.662062i
\(746\) −39.9766 + 5.15030i −1.46365 + 0.188566i
\(747\) 5.60742 + 3.74676i 0.205165 + 0.137087i
\(748\) −0.390375 6.50880i −0.0142735 0.237985i
\(749\) −0.331581 + 1.66697i −0.0121157 + 0.0609098i
\(750\) 38.1014 12.8160i 1.39127 0.467974i
\(751\) 28.6332 + 28.6332i 1.04484 + 1.04484i 0.998946 + 0.0458937i \(0.0146135\pi\)
0.0458937 + 0.998946i \(0.485386\pi\)
\(752\) 1.13597 + 2.01894i 0.0414245 + 0.0736230i
\(753\) −5.48114 + 5.48114i −0.199744 + 0.199744i
\(754\) 2.85979 5.75877i 0.104147 0.209722i
\(755\) −55.5341 11.0464i −2.02109 0.402020i
\(756\) 0.139877 + 0.287652i 0.00508727 + 0.0104618i
\(757\) −7.84971 + 11.7479i −0.285303 + 0.426986i −0.946245 0.323451i \(-0.895157\pi\)
0.660942 + 0.750437i \(0.270157\pi\)
\(758\) 18.9193 + 14.6008i 0.687180 + 0.530325i
\(759\) −0.997557 + 2.40832i −0.0362090 + 0.0874163i
\(760\) 51.3794 + 78.2967i 1.86373 + 2.84012i
\(761\) −13.8423 33.4182i −0.501783 1.21141i −0.948512 0.316741i \(-0.897411\pi\)
0.446729 0.894669i \(-0.352589\pi\)
\(762\) 10.8675 + 2.94424i 0.393686 + 0.106659i
\(763\) 0.889034 0.176840i 0.0321852 0.00640203i
\(764\) −7.10846 + 51.7740i −0.257175 + 1.87312i
\(765\) −21.0365 + 14.0562i −0.760577 + 0.508201i
\(766\) −16.1903 18.5651i −0.584979 0.670784i
\(767\) 33.2282 1.19980
\(768\) −15.9850 + 0.692097i −0.576810 + 0.0249739i
\(769\) −22.7030 −0.818690 −0.409345 0.912380i \(-0.634243\pi\)
−0.409345 + 0.912380i \(0.634243\pi\)
\(770\) −0.323965 0.371484i −0.0116749 0.0133873i
\(771\) 17.9559 11.9977i 0.646665 0.432088i
\(772\) 0.816617 5.94778i 0.0293907 0.214065i
\(773\) −22.3417 + 4.44404i −0.803576 + 0.159841i −0.579757 0.814790i \(-0.696852\pi\)
−0.223819 + 0.974631i