Properties

Label 300.2.r.a.119.15
Level $300$
Weight $2$
Character 300.119
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.r (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 119.15
Character \(\chi\) \(=\) 300.119
Dual form 300.2.r.a.179.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.02850 + 0.970662i) q^{2} +(-0.992477 + 1.41950i) q^{3} +(0.115630 - 1.99665i) q^{4} +(-1.30960 + 1.81244i) q^{5} +(-0.357093 - 2.42332i) q^{6} -1.82094 q^{7} +(1.81915 + 2.16580i) q^{8} +(-1.02998 - 2.81765i) q^{9} +O(q^{10})\) \(q+(-1.02850 + 0.970662i) q^{2} +(-0.992477 + 1.41950i) q^{3} +(0.115630 - 1.99665i) q^{4} +(-1.30960 + 1.81244i) q^{5} +(-0.357093 - 2.42332i) q^{6} -1.82094 q^{7} +(1.81915 + 2.16580i) q^{8} +(-1.02998 - 2.81765i) q^{9} +(-0.412349 - 3.13528i) q^{10} +(0.247309 + 0.761138i) q^{11} +(2.71950 + 2.14577i) q^{12} +(-3.23099 - 1.04981i) q^{13} +(1.87284 - 1.76751i) q^{14} +(-1.27303 - 3.65779i) q^{15} +(-3.97326 - 0.461748i) q^{16} +(-0.461404 - 0.335230i) q^{17} +(3.79432 + 1.89820i) q^{18} +(4.02541 - 5.54050i) q^{19} +(3.46740 + 2.82439i) q^{20} +(1.80724 - 2.58482i) q^{21} +(-0.993166 - 0.542779i) q^{22} +(-1.85496 + 0.602713i) q^{23} +(-4.87983 + 0.432783i) q^{24} +(-1.56991 - 4.74714i) q^{25} +(4.34210 - 2.05647i) q^{26} +(5.02189 + 1.33440i) q^{27} +(-0.210555 + 3.63578i) q^{28} +(-1.66916 - 2.29741i) q^{29} +(4.85978 + 2.52636i) q^{30} +(-2.38209 + 3.27867i) q^{31} +(4.53470 - 3.38178i) q^{32} +(-1.32589 - 0.404357i) q^{33} +(0.799949 - 0.103083i) q^{34} +(2.38469 - 3.30035i) q^{35} +(-5.74497 + 1.73070i) q^{36} +(3.42585 + 1.11313i) q^{37} +(1.23781 + 9.60572i) q^{38} +(4.69690 - 3.54449i) q^{39} +(-6.30775 + 0.460786i) q^{40} +(-10.0468 - 3.26439i) q^{41} +(0.650244 + 4.41271i) q^{42} +5.23402 q^{43} +(1.54833 - 0.405780i) q^{44} +(6.45569 + 1.82321i) q^{45} +(1.32280 - 2.42043i) q^{46} +(-6.91025 - 9.51115i) q^{47} +(4.59882 - 5.18178i) q^{48} -3.68419 q^{49} +(6.22253 + 3.35859i) q^{50} +(0.933792 - 0.322256i) q^{51} +(-2.46972 + 6.32979i) q^{52} +(-6.16323 + 4.47785i) q^{53} +(-6.46027 + 3.50213i) q^{54} +(-1.70340 - 0.548551i) q^{55} +(-3.31256 - 3.94378i) q^{56} +(3.86963 + 11.2129i) q^{57} +(3.94674 + 0.742693i) q^{58} +(-2.59431 + 7.98448i) q^{59} +(-7.45054 + 2.11884i) q^{60} +(4.03533 + 12.4195i) q^{61} +(-0.732495 - 5.68433i) q^{62} +(1.87552 + 5.13076i) q^{63} +(-1.38138 + 7.87983i) q^{64} +(6.13403 - 4.48116i) q^{65} +(1.75617 - 0.871106i) q^{66} +(-7.80141 - 5.66806i) q^{67} +(-0.722690 + 0.882502i) q^{68} +(0.985452 - 3.23130i) q^{69} +(0.750862 + 5.70914i) q^{70} +(-9.89629 + 7.19008i) q^{71} +(4.22878 - 7.35645i) q^{72} +(-12.0129 + 3.90322i) q^{73} +(-4.60397 + 2.18049i) q^{74} +(8.29669 + 2.48294i) q^{75} +(-10.5970 - 8.67800i) q^{76} +(-0.450334 - 1.38598i) q^{77} +(-1.39027 + 8.20461i) q^{78} +(0.222877 + 0.306764i) q^{79} +(6.04026 - 6.59661i) q^{80} +(-6.87829 + 5.80423i) q^{81} +(13.5017 - 6.39458i) q^{82} +(-3.26571 + 4.49487i) q^{83} +(-4.95203 - 3.90731i) q^{84} +(1.21184 - 0.397254i) q^{85} +(-5.38320 + 5.08046i) q^{86} +(4.91779 - 0.0892587i) q^{87} +(-1.19858 + 1.92025i) q^{88} +(12.8868 - 4.18717i) q^{89} +(-8.40940 + 4.39112i) q^{90} +(5.88343 + 1.91164i) q^{91} +(0.988920 + 3.77340i) q^{92} +(-2.28991 - 6.63540i) q^{93} +(16.3393 + 3.07471i) q^{94} +(4.77019 + 14.5517i) q^{95} +(0.299861 + 9.79337i) q^{96} +(-0.331073 - 0.455683i) q^{97} +(3.78920 - 3.57610i) q^{98} +(1.88990 - 1.48078i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} - 5q^{12} - 20q^{13} + 6q^{16} - 24q^{21} - 10q^{22} - 28q^{24} - 20q^{25} - 50q^{28} - 25q^{30} - 10q^{33} - 14q^{34} - 25q^{36} - 60q^{37} - 20q^{40} - 85q^{42} - 30q^{45} + 6q^{46} - 70q^{48} + 88q^{49} + 40q^{52} - 46q^{54} + 50q^{58} + 10q^{60} - 28q^{61} + 18q^{64} + 64q^{66} - 42q^{69} - 40q^{70} - 5q^{72} - 20q^{73} - 80q^{76} - 85q^{78} + 18q^{81} - 48q^{84} - 20q^{85} + 50q^{88} - 60q^{90} + 60q^{94} + 44q^{96} - 120q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{9}{10}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.02850 + 0.970662i −0.727260 + 0.686362i
\(3\) −0.992477 + 1.41950i −0.573007 + 0.819550i
\(4\) 0.115630 1.99665i 0.0578152 0.998327i
\(5\) −1.30960 + 1.81244i −0.585669 + 0.810550i
\(6\) −0.357093 2.42332i −0.145783 0.989317i
\(7\) −1.82094 −0.688249 −0.344125 0.938924i \(-0.611824\pi\)
−0.344125 + 0.938924i \(0.611824\pi\)
\(8\) 1.81915 + 2.16580i 0.643167 + 0.765726i
\(9\) −1.02998 2.81765i −0.343326 0.939216i
\(10\) −0.412349 3.13528i −0.130396 0.991462i
\(11\) 0.247309 + 0.761138i 0.0745664 + 0.229492i 0.981392 0.192014i \(-0.0615018\pi\)
−0.906826 + 0.421506i \(0.861502\pi\)
\(12\) 2.71950 + 2.14577i 0.785051 + 0.619431i
\(13\) −3.23099 1.04981i −0.896116 0.291166i −0.175483 0.984482i \(-0.556149\pi\)
−0.720633 + 0.693317i \(0.756149\pi\)
\(14\) 1.87284 1.76751i 0.500536 0.472388i
\(15\) −1.27303 3.65779i −0.328694 0.944437i
\(16\) −3.97326 0.461748i −0.993315 0.115437i
\(17\) −0.461404 0.335230i −0.111907 0.0813051i 0.530424 0.847732i \(-0.322033\pi\)
−0.642331 + 0.766427i \(0.722033\pi\)
\(18\) 3.79432 + 1.89820i 0.894329 + 0.447409i
\(19\) 4.02541 5.54050i 0.923492 1.27108i −0.0388525 0.999245i \(-0.512370\pi\)
0.962345 0.271833i \(-0.0876298\pi\)
\(20\) 3.46740 + 2.82439i 0.775334 + 0.631552i
\(21\) 1.80724 2.58482i 0.394372 0.564055i
\(22\) −0.993166 0.542779i −0.211744 0.115721i
\(23\) −1.85496 + 0.602713i −0.386786 + 0.125674i −0.495954 0.868349i \(-0.665181\pi\)
0.109168 + 0.994023i \(0.465181\pi\)
\(24\) −4.87983 + 0.432783i −0.996090 + 0.0883414i
\(25\) −1.56991 4.74714i −0.313982 0.949429i
\(26\) 4.34210 2.05647i 0.851555 0.403307i
\(27\) 5.02189 + 1.33440i 0.966463 + 0.256805i
\(28\) −0.210555 + 3.63578i −0.0397912 + 0.687098i
\(29\) −1.66916 2.29741i −0.309956 0.426618i 0.625411 0.780295i \(-0.284931\pi\)
−0.935368 + 0.353677i \(0.884931\pi\)
\(30\) 4.85978 + 2.52636i 0.887271 + 0.461248i
\(31\) −2.38209 + 3.27867i −0.427837 + 0.588867i −0.967455 0.253043i \(-0.918569\pi\)
0.539618 + 0.841910i \(0.318569\pi\)
\(32\) 4.53470 3.38178i 0.801630 0.597821i
\(33\) −1.32589 0.404357i −0.230807 0.0703895i
\(34\) 0.799949 0.103083i 0.137190 0.0176786i
\(35\) 2.38469 3.30035i 0.403087 0.557860i
\(36\) −5.74497 + 1.73070i −0.957495 + 0.288451i
\(37\) 3.42585 + 1.11313i 0.563207 + 0.182997i 0.576764 0.816911i \(-0.304315\pi\)
−0.0135567 + 0.999908i \(0.504315\pi\)
\(38\) 1.23781 + 9.60572i 0.200800 + 1.55825i
\(39\) 4.69690 3.54449i 0.752106 0.567572i
\(40\) −6.30775 + 0.460786i −0.997342 + 0.0728566i
\(41\) −10.0468 3.26439i −1.56904 0.509812i −0.609836 0.792528i \(-0.708765\pi\)
−0.959204 + 0.282716i \(0.908765\pi\)
\(42\) 0.650244 + 4.41271i 0.100335 + 0.680896i
\(43\) 5.23402 0.798181 0.399090 0.916912i \(-0.369326\pi\)
0.399090 + 0.916912i \(0.369326\pi\)
\(44\) 1.54833 0.405780i 0.233419 0.0611736i
\(45\) 6.45569 + 1.82321i 0.962357 + 0.271788i
\(46\) 1.32280 2.42043i 0.195036 0.356873i
\(47\) −6.91025 9.51115i −1.00796 1.38734i −0.920309 0.391192i \(-0.872063\pi\)
−0.0876549 0.996151i \(-0.527937\pi\)
\(48\) 4.59882 5.18178i 0.663783 0.747925i
\(49\) −3.68419 −0.526313
\(50\) 6.22253 + 3.35859i 0.879999 + 0.474976i
\(51\) 0.933792 0.322256i 0.130757 0.0451249i
\(52\) −2.46972 + 6.32979i −0.342488 + 0.877784i
\(53\) −6.16323 + 4.47785i −0.846585 + 0.615080i −0.924202 0.381903i \(-0.875269\pi\)
0.0776171 + 0.996983i \(0.475269\pi\)
\(54\) −6.46027 + 3.50213i −0.879131 + 0.476579i
\(55\) −1.70340 0.548551i −0.229686 0.0739666i
\(56\) −3.31256 3.94378i −0.442659 0.527010i
\(57\) 3.86963 + 11.2129i 0.512545 + 1.48518i
\(58\) 3.94674 + 0.742693i 0.518233 + 0.0975203i
\(59\) −2.59431 + 7.98448i −0.337751 + 1.03949i 0.627600 + 0.778536i \(0.284037\pi\)
−0.965351 + 0.260955i \(0.915963\pi\)
\(60\) −7.45054 + 2.11884i −0.961860 + 0.273541i
\(61\) 4.03533 + 12.4195i 0.516671 + 1.59015i 0.780221 + 0.625504i \(0.215107\pi\)
−0.263550 + 0.964646i \(0.584893\pi\)
\(62\) −0.732495 5.68433i −0.0930269 0.721910i
\(63\) 1.87552 + 5.13076i 0.236294 + 0.646415i
\(64\) −1.38138 + 7.87983i −0.172672 + 0.984979i
\(65\) 6.13403 4.48116i 0.760832 0.555820i
\(66\) 1.75617 0.871106i 0.216170 0.107226i
\(67\) −7.80141 5.66806i −0.953094 0.692464i −0.00155776 0.999999i \(-0.500496\pi\)
−0.951537 + 0.307535i \(0.900496\pi\)
\(68\) −0.722690 + 0.882502i −0.0876390 + 0.107019i
\(69\) 0.985452 3.23130i 0.118635 0.389003i
\(70\) 0.750862 + 5.70914i 0.0897451 + 0.682373i
\(71\) −9.89629 + 7.19008i −1.17447 + 0.853305i −0.991538 0.129819i \(-0.958560\pi\)
−0.182936 + 0.983125i \(0.558560\pi\)
\(72\) 4.22878 7.35645i 0.498367 0.866966i
\(73\) −12.0129 + 3.90322i −1.40600 + 0.456837i −0.911126 0.412128i \(-0.864786\pi\)
−0.494874 + 0.868965i \(0.664786\pi\)
\(74\) −4.60397 + 2.18049i −0.535200 + 0.253477i
\(75\) 8.29669 + 2.48294i 0.958019 + 0.286705i
\(76\) −10.5970 8.67800i −1.21556 0.995435i
\(77\) −0.450334 1.38598i −0.0513203 0.157948i
\(78\) −1.39027 + 8.20461i −0.157417 + 0.928990i
\(79\) 0.222877 + 0.306764i 0.0250756 + 0.0345136i 0.821371 0.570395i \(-0.193210\pi\)
−0.796295 + 0.604908i \(0.793210\pi\)
\(80\) 6.04026 6.59661i 0.675322 0.737523i
\(81\) −6.87829 + 5.80423i −0.764255 + 0.644914i
\(82\) 13.5017 6.39458i 1.49102 0.706163i
\(83\) −3.26571 + 4.49487i −0.358459 + 0.493376i −0.949719 0.313105i \(-0.898631\pi\)
0.591260 + 0.806481i \(0.298631\pi\)
\(84\) −4.95203 3.90731i −0.540311 0.426323i
\(85\) 1.21184 0.397254i 0.131442 0.0430882i
\(86\) −5.38320 + 5.08046i −0.580485 + 0.547841i
\(87\) 4.91779 0.0892587i 0.527242 0.00956954i
\(88\) −1.19858 + 1.92025i −0.127769 + 0.204699i
\(89\) 12.8868 4.18717i 1.36600 0.443839i 0.467956 0.883752i \(-0.344991\pi\)
0.898041 + 0.439912i \(0.144991\pi\)
\(90\) −8.40940 + 4.39112i −0.886429 + 0.462865i
\(91\) 5.88343 + 1.91164i 0.616751 + 0.200395i
\(92\) 0.988920 + 3.77340i 0.103102 + 0.393405i
\(93\) −2.28991 6.63540i −0.237452 0.688058i
\(94\) 16.3393 + 3.07471i 1.68527 + 0.317132i
\(95\) 4.77019 + 14.5517i 0.489411 + 1.49297i
\(96\) 0.299861 + 9.79337i 0.0306045 + 0.999532i
\(97\) −0.331073 0.455683i −0.0336153 0.0462676i 0.791879 0.610679i \(-0.209103\pi\)
−0.825494 + 0.564411i \(0.809103\pi\)
\(98\) 3.78920 3.57610i 0.382767 0.361241i
\(99\) 1.88990 1.48078i 0.189942 0.148824i
\(100\) −9.65994 + 2.58566i −0.965994 + 0.258566i
\(101\) 1.23431i 0.122818i 0.998113 + 0.0614091i \(0.0195594\pi\)
−0.998113 + 0.0614091i \(0.980441\pi\)
\(102\) −0.647605 + 1.23784i −0.0641224 + 0.122564i
\(103\) −4.93809 + 3.58773i −0.486564 + 0.353510i −0.803862 0.594816i \(-0.797225\pi\)
0.317297 + 0.948326i \(0.397225\pi\)
\(104\) −3.60398 8.90745i −0.353399 0.873448i
\(105\) 2.31810 + 6.66060i 0.226223 + 0.650008i
\(106\) 1.99241 10.5879i 0.193520 1.02839i
\(107\) 1.00404i 0.0970639i 0.998822 + 0.0485319i \(0.0154543\pi\)
−0.998822 + 0.0485319i \(0.984546\pi\)
\(108\) 3.24501 9.87268i 0.312252 0.949999i
\(109\) 6.02193 18.5336i 0.576796 1.77520i −0.0531824 0.998585i \(-0.516936\pi\)
0.629979 0.776612i \(-0.283064\pi\)
\(110\) 2.28440 1.08924i 0.217809 0.103855i
\(111\) −4.98017 + 3.75826i −0.472697 + 0.356718i
\(112\) 7.23505 + 0.840813i 0.683648 + 0.0794494i
\(113\) 3.24909 9.99968i 0.305649 0.940691i −0.673785 0.738927i \(-0.735333\pi\)
0.979434 0.201764i \(-0.0646673\pi\)
\(114\) −14.8639 7.77638i −1.39213 0.728325i
\(115\) 1.33687 4.15132i 0.124663 0.387113i
\(116\) −4.78014 + 3.06709i −0.443824 + 0.284773i
\(117\) 0.369844 + 10.1851i 0.0341921 + 0.941612i
\(118\) −5.08198 10.7303i −0.467834 0.987800i
\(119\) 0.840187 + 0.610432i 0.0770198 + 0.0559582i
\(120\) 5.60621 9.41119i 0.511775 0.859120i
\(121\) 8.38102 6.08917i 0.761911 0.553560i
\(122\) −16.2054 8.85650i −1.46717 0.801830i
\(123\) 14.6050 11.0216i 1.31689 0.993781i
\(124\) 6.27093 + 5.13533i 0.563146 + 0.461166i
\(125\) 10.6599 + 3.37146i 0.953449 + 0.301553i
\(126\) −6.90921 3.45649i −0.615521 0.307929i
\(127\) −0.355933 1.09545i −0.0315839 0.0972053i 0.934022 0.357216i \(-0.116274\pi\)
−0.965606 + 0.260011i \(0.916274\pi\)
\(128\) −6.22790 9.44527i −0.550474 0.834852i
\(129\) −5.19465 + 7.42971i −0.457363 + 0.654149i
\(130\) −1.95916 + 10.5630i −0.171830 + 0.926432i
\(131\) 1.69523 + 1.23165i 0.148113 + 0.107610i 0.659374 0.751815i \(-0.270822\pi\)
−0.511261 + 0.859425i \(0.670822\pi\)
\(132\) −0.960674 + 2.60058i −0.0836159 + 0.226352i
\(133\) −7.33001 + 10.0889i −0.635593 + 0.874818i
\(134\) 13.5255 1.74293i 1.16843 0.150566i
\(135\) −8.99517 + 7.35438i −0.774181 + 0.632964i
\(136\) −0.113323 1.60914i −0.00971738 0.137983i
\(137\) −0.813605 + 2.50402i −0.0695110 + 0.213933i −0.979778 0.200090i \(-0.935877\pi\)
0.910267 + 0.414023i \(0.135877\pi\)
\(138\) 2.12296 + 4.27994i 0.180718 + 0.364332i
\(139\) −10.9638 + 3.56235i −0.929936 + 0.302155i −0.734537 0.678569i \(-0.762600\pi\)
−0.195400 + 0.980724i \(0.562600\pi\)
\(140\) −6.31391 5.14303i −0.533623 0.434665i
\(141\) 20.3594 0.369526i 1.71457 0.0311197i
\(142\) 3.19922 17.0010i 0.268472 1.42669i
\(143\) 2.71886i 0.227363i
\(144\) 2.79132 + 11.6708i 0.232610 + 0.972570i
\(145\) 6.34986 0.0165905i 0.527327 0.00137777i
\(146\) 8.56655 15.6749i 0.708973 1.29726i
\(147\) 3.65648 5.22972i 0.301581 0.431340i
\(148\) 2.61866 6.71154i 0.215253 0.551685i
\(149\) 7.95239i 0.651485i −0.945459 0.325742i \(-0.894386\pi\)
0.945459 0.325742i \(-0.105614\pi\)
\(150\) −10.9432 + 5.49957i −0.893512 + 0.449038i
\(151\) 13.9119i 1.13213i 0.824360 + 0.566065i \(0.191535\pi\)
−0.824360 + 0.566065i \(0.808465\pi\)
\(152\) 19.3224 1.36077i 1.56726 0.110373i
\(153\) −0.469324 + 1.64535i −0.0379426 + 0.133019i
\(154\) 1.80849 + 0.988365i 0.145732 + 0.0796447i
\(155\) −2.82283 8.61115i −0.226735 0.691664i
\(156\) −6.53402 9.78794i −0.523140 0.783662i
\(157\) 9.44912i 0.754122i 0.926188 + 0.377061i \(0.123065\pi\)
−0.926188 + 0.377061i \(0.876935\pi\)
\(158\) −0.526993 0.0991688i −0.0419253 0.00788945i
\(159\) −0.239454 13.1929i −0.0189899 1.04626i
\(160\) 0.190663 + 12.6477i 0.0150732 + 0.999886i
\(161\) 3.37776 1.09750i 0.266205 0.0864952i
\(162\) 1.44039 12.6462i 0.113168 0.993576i
\(163\) 6.32363 19.4621i 0.495305 1.52439i −0.321175 0.947020i \(-0.604078\pi\)
0.816480 0.577373i \(-0.195922\pi\)
\(164\) −7.67957 + 19.6824i −0.599674 + 1.53694i
\(165\) 2.46925 1.87355i 0.192231 0.145856i
\(166\) −1.00421 7.79289i −0.0779417 0.604845i
\(167\) −0.0489748 + 0.0674080i −0.00378978 + 0.00521619i −0.810908 0.585174i \(-0.801026\pi\)
0.807118 + 0.590390i \(0.201026\pi\)
\(168\) 8.88585 0.788069i 0.685558 0.0608009i
\(169\) −1.18001 0.857329i −0.0907701 0.0659484i
\(170\) −0.860778 + 1.58486i −0.0660187 + 0.121553i
\(171\) −19.7573 5.63560i −1.51088 0.430965i
\(172\) 0.605211 10.4505i 0.0461469 0.796845i
\(173\) 2.07273 + 6.37921i 0.157587 + 0.485002i 0.998414 0.0563017i \(-0.0179309\pi\)
−0.840827 + 0.541304i \(0.817931\pi\)
\(174\) −4.97131 + 4.86531i −0.376874 + 0.368838i
\(175\) 2.85871 + 8.64425i 0.216098 + 0.653444i
\(176\) −0.631168 3.13839i −0.0475761 0.236565i
\(177\) −8.75919 11.6071i −0.658381 0.872440i
\(178\) −9.18975 + 16.8152i −0.688801 + 1.26035i
\(179\) −9.23271 + 6.70796i −0.690085 + 0.501376i −0.876688 0.481059i \(-0.840252\pi\)
0.186603 + 0.982435i \(0.440252\pi\)
\(180\) 4.38679 12.6790i 0.326972 0.945034i
\(181\) 5.93997 + 4.31564i 0.441515 + 0.320779i 0.786237 0.617926i \(-0.212027\pi\)
−0.344722 + 0.938705i \(0.612027\pi\)
\(182\) −7.90668 + 3.74470i −0.586082 + 0.277575i
\(183\) −21.6344 6.59788i −1.59926 0.487729i
\(184\) −4.67981 2.92105i −0.345000 0.215342i
\(185\) −6.50397 + 4.75142i −0.478181 + 0.349332i
\(186\) 8.79590 + 4.60179i 0.644947 + 0.337419i
\(187\) 0.141047 0.434097i 0.0103144 0.0317444i
\(188\) −19.7895 + 12.6976i −1.44330 + 0.926068i
\(189\) −9.14454 2.42985i −0.665168 0.176746i
\(190\) −19.0309 10.3362i −1.38065 0.749863i
\(191\) 7.52546 23.1610i 0.544523 1.67587i −0.177597 0.984103i \(-0.556832\pi\)
0.722120 0.691767i \(-0.243168\pi\)
\(192\) −9.81446 9.78143i −0.708298 0.705914i
\(193\) 2.22720i 0.160317i 0.996782 + 0.0801586i \(0.0255427\pi\)
−0.996782 + 0.0801586i \(0.974457\pi\)
\(194\) 0.782823 + 0.147310i 0.0562034 + 0.0105763i
\(195\) 0.273144 + 13.1547i 0.0195602 + 0.942029i
\(196\) −0.426004 + 7.35606i −0.0304289 + 0.525433i
\(197\) −3.52656 + 2.56220i −0.251257 + 0.182549i −0.706284 0.707929i \(-0.749630\pi\)
0.455027 + 0.890478i \(0.349630\pi\)
\(198\) −0.506421 + 3.35744i −0.0359898 + 0.238603i
\(199\) 22.2330i 1.57605i 0.615642 + 0.788026i \(0.288897\pi\)
−0.615642 + 0.788026i \(0.711103\pi\)
\(200\) 7.42546 12.0359i 0.525059 0.851066i
\(201\) 15.7886 5.44871i 1.11364 0.384322i
\(202\) −1.19810 1.26949i −0.0842978 0.0893209i
\(203\) 3.03944 + 4.18343i 0.213327 + 0.293619i
\(204\) −0.535460 1.90172i −0.0374897 0.133147i
\(205\) 19.0737 13.9342i 1.33217 0.973204i
\(206\) 1.59636 8.48320i 0.111223 0.591053i
\(207\) 3.60880 + 4.60584i 0.250829 + 0.320128i
\(208\) 12.3528 + 5.66308i 0.856514 + 0.392664i
\(209\) 5.21261 + 1.69368i 0.360563 + 0.117154i
\(210\) −8.84936 4.60034i −0.610664 0.317454i
\(211\) 9.80805 3.18683i 0.675214 0.219390i 0.0487152 0.998813i \(-0.484487\pi\)
0.626499 + 0.779422i \(0.284487\pi\)
\(212\) 8.22807 + 12.8236i 0.565106 + 0.880730i
\(213\) −0.384490 21.1838i −0.0263448 1.45149i
\(214\) −0.974580 1.03265i −0.0666209 0.0705907i
\(215\) −6.85446 + 9.48637i −0.467470 + 0.646965i
\(216\) 6.24554 + 13.3039i 0.424955 + 0.905214i
\(217\) 4.33764 5.97025i 0.294458 0.405287i
\(218\) 11.7963 + 24.9071i 0.798946 + 1.68692i
\(219\) 6.38187 20.9262i 0.431247 1.41406i
\(220\) −1.29223 + 3.33766i −0.0871222 + 0.225025i
\(221\) 1.13886 + 1.56751i 0.0766083 + 0.105442i
\(222\) 1.47412 8.69943i 0.0989362 0.583868i
\(223\) −1.98071 6.09600i −0.132638 0.408218i 0.862577 0.505926i \(-0.168849\pi\)
−0.995215 + 0.0977075i \(0.968849\pi\)
\(224\) −8.25741 + 6.15801i −0.551721 + 0.411450i
\(225\) −11.7588 + 9.31291i −0.783921 + 0.620861i
\(226\) 6.36461 + 13.4385i 0.423368 + 0.893913i
\(227\) −6.19562 + 2.01308i −0.411218 + 0.133613i −0.507318 0.861759i \(-0.669363\pi\)
0.0961004 + 0.995372i \(0.469363\pi\)
\(228\) 22.8357 6.42976i 1.51233 0.425821i
\(229\) −12.7239 + 9.24448i −0.840821 + 0.610892i −0.922600 0.385758i \(-0.873940\pi\)
0.0817789 + 0.996650i \(0.473940\pi\)
\(230\) 2.65456 + 5.56728i 0.175037 + 0.367096i
\(231\) 2.41435 + 0.736308i 0.158853 + 0.0484455i
\(232\) 1.93926 7.79441i 0.127319 0.511728i
\(233\) 18.0172 + 13.0903i 1.18035 + 0.857573i 0.992211 0.124570i \(-0.0397551\pi\)
0.188137 + 0.982143i \(0.439755\pi\)
\(234\) −10.2667 10.1164i −0.671153 0.661329i
\(235\) 26.2881 0.0686840i 1.71484 0.00448045i
\(236\) 15.6423 + 6.10320i 1.01822 + 0.397284i
\(237\) −0.656653 + 0.0119184i −0.0426542 + 0.000774181i
\(238\) −1.45666 + 0.187708i −0.0944210 + 0.0121673i
\(239\) 0.384409 + 1.18309i 0.0248653 + 0.0765276i 0.962719 0.270503i \(-0.0871900\pi\)
−0.937854 + 0.347031i \(0.887190\pi\)
\(240\) 3.36909 + 15.1212i 0.217474 + 0.976066i
\(241\) −3.61439 + 11.1239i −0.232823 + 0.716556i 0.764579 + 0.644529i \(0.222947\pi\)
−0.997403 + 0.0720267i \(0.977053\pi\)
\(242\) −2.70937 + 14.3979i −0.174165 + 0.925529i
\(243\) −1.41257 15.5243i −0.0906165 0.995886i
\(244\) 25.2640 6.62109i 1.61736 0.423872i
\(245\) 4.82481 6.67739i 0.308245 0.426603i
\(246\) −4.32303 + 25.5122i −0.275627 + 1.62660i
\(247\) −18.8226 + 13.6754i −1.19765 + 0.870144i
\(248\) −11.4343 + 0.805258i −0.726081 + 0.0511339i
\(249\) −3.13933 9.09675i −0.198947 0.576483i
\(250\) −14.2363 + 6.87959i −0.900380 + 0.435104i
\(251\) 23.4563 1.48055 0.740273 0.672307i \(-0.234696\pi\)
0.740273 + 0.672307i \(0.234696\pi\)
\(252\) 10.4612 3.15150i 0.658995 0.198526i
\(253\) −0.917496 1.26282i −0.0576825 0.0793931i
\(254\) 1.42939 + 0.781179i 0.0896877 + 0.0490156i
\(255\) −0.638819 + 2.11447i −0.0400044 + 0.132413i
\(256\) 15.5736 + 3.66929i 0.973349 + 0.229330i
\(257\) −25.9997 −1.62182 −0.810908 0.585174i \(-0.801026\pi\)
−0.810908 + 0.585174i \(0.801026\pi\)
\(258\) −1.86903 12.6837i −0.116361 0.789653i
\(259\) −6.23826 2.02693i −0.387627 0.125948i
\(260\) −8.23806 12.7657i −0.510903 0.791695i
\(261\) −4.75409 + 7.06940i −0.294271 + 0.437585i
\(262\) −2.93906 + 0.378734i −0.181576 + 0.0233983i
\(263\) −6.97976 2.26786i −0.430391 0.139842i 0.0858073 0.996312i \(-0.472653\pi\)
−0.516198 + 0.856469i \(0.672653\pi\)
\(264\) −1.53623 3.60719i −0.0945485 0.222007i
\(265\) −0.0445073 17.0347i −0.00273406 1.04643i
\(266\) −2.25398 17.4914i −0.138200 1.07247i
\(267\) −6.84614 + 22.4485i −0.418977 + 1.37383i
\(268\) −12.2192 + 14.9213i −0.746409 + 0.911465i
\(269\) −12.1764 + 16.7593i −0.742406 + 1.02183i 0.256071 + 0.966658i \(0.417572\pi\)
−0.998477 + 0.0551761i \(0.982428\pi\)
\(270\) 2.11293 16.2953i 0.128589 0.991698i
\(271\) 1.70072 + 2.34083i 0.103311 + 0.142196i 0.857542 0.514413i \(-0.171990\pi\)
−0.754231 + 0.656609i \(0.771990\pi\)
\(272\) 1.67849 + 1.54501i 0.101773 + 0.0936798i
\(273\) −8.55276 + 6.45429i −0.517636 + 0.390631i
\(274\) −1.59376 3.36512i −0.0962827 0.203294i
\(275\) 3.22498 2.36893i 0.194474 0.142852i
\(276\) −6.33784 2.34124i −0.381493 0.140926i
\(277\) −18.9590 + 6.16014i −1.13913 + 0.370127i −0.817040 0.576581i \(-0.804386\pi\)
−0.322093 + 0.946708i \(0.604386\pi\)
\(278\) 7.81843 14.3060i 0.468918 0.858018i
\(279\) 11.6916 + 3.33495i 0.699961 + 0.199658i
\(280\) 11.4860 0.839061i 0.686420 0.0501435i
\(281\) −1.88448 + 2.59377i −0.112419 + 0.154731i −0.861519 0.507726i \(-0.830486\pi\)
0.749100 + 0.662457i \(0.230486\pi\)
\(282\) −20.5810 + 20.1421i −1.22558 + 1.19945i
\(283\) 11.2107 + 8.14505i 0.666407 + 0.484173i 0.868820 0.495127i \(-0.164879\pi\)
−0.202414 + 0.979300i \(0.564879\pi\)
\(284\) 13.2118 + 20.5909i 0.783976 + 1.22184i
\(285\) −25.3904 7.67089i −1.50400 0.454384i
\(286\) 2.63910 + 2.79635i 0.156053 + 0.165352i
\(287\) 18.2945 + 5.94425i 1.07989 + 0.350878i
\(288\) −14.1993 9.29404i −0.836703 0.547657i
\(289\) −5.15277 15.8586i −0.303104 0.932859i
\(290\) −6.51473 + 6.18063i −0.382558 + 0.362939i
\(291\) 0.975425 0.0177041i 0.0571804 0.00103784i
\(292\) 6.40433 + 24.4369i 0.374785 + 1.43006i
\(293\) −30.5925 −1.78723 −0.893617 0.448830i \(-0.851841\pi\)
−0.893617 + 0.448830i \(0.851841\pi\)
\(294\) 1.31560 + 8.92798i 0.0767274 + 0.520690i
\(295\) −11.0739 15.1585i −0.644749 0.882562i
\(296\) 3.82133 + 9.44466i 0.222111 + 0.548960i
\(297\) 0.226297 + 4.15236i 0.0131311 + 0.240944i
\(298\) 7.71908 + 8.17904i 0.447154 + 0.473799i
\(299\) 6.62610 0.383197
\(300\) 5.91692 16.2785i 0.341613 0.939841i
\(301\) −9.53082 −0.549347
\(302\) −13.5037 14.3084i −0.777051 0.823354i
\(303\) −1.75210 1.22502i −0.100656 0.0703757i
\(304\) −18.5523 + 20.1551i −1.06405 + 1.15598i
\(305\) −27.7943 8.95068i −1.59149 0.512515i
\(306\) −1.11438 2.14780i −0.0637050 0.122782i
\(307\) 3.72232 0.212444 0.106222 0.994342i \(-0.466125\pi\)
0.106222 + 0.994342i \(0.466125\pi\)
\(308\) −2.81940 + 0.738899i −0.160650 + 0.0421027i
\(309\) −0.191854 10.5704i −0.0109142 0.601328i
\(310\) 11.2618 + 6.11657i 0.639627 + 0.347398i
\(311\) −7.40049 22.7764i −0.419644 1.29153i −0.908031 0.418903i \(-0.862415\pi\)
0.488387 0.872627i \(-0.337585\pi\)
\(312\) 16.2210 + 3.72459i 0.918335 + 0.210863i
\(313\) 27.7968 + 9.03173i 1.57117 + 0.510503i 0.959762 0.280814i \(-0.0906043\pi\)
0.611406 + 0.791317i \(0.290604\pi\)
\(314\) −9.17190 9.71843i −0.517600 0.548443i
\(315\) −11.7554 3.31994i −0.662342 0.187058i
\(316\) 0.638273 0.409537i 0.0359057 0.0230383i
\(317\) −1.16402 0.845712i −0.0653780 0.0474999i 0.554616 0.832106i \(-0.312865\pi\)
−0.619994 + 0.784606i \(0.712865\pi\)
\(318\) 13.0521 + 13.3365i 0.731927 + 0.747873i
\(319\) 1.33585 1.83863i 0.0747930 0.102944i
\(320\) −12.4727 12.8231i −0.697246 0.716832i
\(321\) −1.42523 0.996484i −0.0795487 0.0556183i
\(322\) −2.40873 + 4.40745i −0.134233 + 0.245617i
\(323\) −3.71468 + 1.20697i −0.206690 + 0.0671577i
\(324\) 10.7937 + 14.4047i 0.599650 + 0.800262i
\(325\) 0.0887613 + 16.9861i 0.00492359 + 0.942220i
\(326\) 12.3873 + 26.1550i 0.686069 + 1.44859i
\(327\) 20.3319 + 26.9423i 1.12436 + 1.48991i
\(328\) −11.2066 27.6977i −0.618778 1.52935i
\(329\) 12.5831 + 17.3192i 0.693730 + 0.954838i
\(330\) −0.721043 + 4.32376i −0.0396921 + 0.238015i
\(331\) −15.0265 + 20.6822i −0.825929 + 1.13679i 0.162738 + 0.986669i \(0.447968\pi\)
−0.988667 + 0.150125i \(0.952032\pi\)
\(332\) 8.59709 + 7.04025i 0.471827 + 0.386384i
\(333\) −0.392150 10.7994i −0.0214897 0.591801i
\(334\) −0.0150598 0.116867i −0.000824033 0.00639469i
\(335\) 20.4898 6.71676i 1.11947 0.366976i
\(336\) −8.37416 + 9.43569i −0.456848 + 0.514759i
\(337\) 20.3797 + 6.62178i 1.11016 + 0.360711i 0.806003 0.591912i \(-0.201627\pi\)
0.304153 + 0.952623i \(0.401627\pi\)
\(338\) 2.04582 0.263629i 0.111278 0.0143395i
\(339\) 10.9699 + 14.5366i 0.595805 + 0.789517i
\(340\) −0.653053 2.46556i −0.0354168 0.133714i
\(341\) −3.08463 1.00226i −0.167042 0.0542753i
\(342\) 25.7906 13.3814i 1.39460 0.723583i
\(343\) 19.4552 1.05048
\(344\) 9.52147 + 11.3358i 0.513363 + 0.611188i
\(345\) 4.56601 + 6.01778i 0.245825 + 0.323986i
\(346\) −8.32386 4.54910i −0.447494 0.244561i
\(347\) −7.86215 10.8213i −0.422062 0.580919i 0.544046 0.839055i \(-0.316892\pi\)
−0.966109 + 0.258136i \(0.916892\pi\)
\(348\) 0.390426 9.82944i 0.0209290 0.526913i
\(349\) −12.3010 −0.658459 −0.329229 0.944250i \(-0.606789\pi\)
−0.329229 + 0.944250i \(0.606789\pi\)
\(350\) −11.3308 6.11578i −0.605658 0.326902i
\(351\) −14.8248 9.58348i −0.791291 0.511528i
\(352\) 3.69548 + 2.61519i 0.196970 + 0.139390i
\(353\) 15.1176 10.9836i 0.804629 0.584597i −0.107640 0.994190i \(-0.534329\pi\)
0.912268 + 0.409593i \(0.134329\pi\)
\(354\) 20.2754 + 3.43565i 1.07762 + 0.182603i
\(355\) −0.0714653 27.3526i −0.00379298 1.45172i
\(356\) −6.87023 26.2146i −0.364122 1.38937i
\(357\) −1.70038 + 0.586809i −0.0899935 + 0.0310572i
\(358\) 2.98470 15.8610i 0.157746 0.838279i
\(359\) 6.92004 21.2977i 0.365225 1.12405i −0.584614 0.811311i \(-0.698754\pi\)
0.949840 0.312737i \(-0.101246\pi\)
\(360\) 7.79517 + 17.2984i 0.410842 + 0.911707i
\(361\) −8.62190 26.5355i −0.453784 1.39660i
\(362\) −10.2983 + 1.32706i −0.541267 + 0.0697488i
\(363\) 0.325619 + 17.9402i 0.0170905 + 0.941618i
\(364\) 4.49719 11.5261i 0.235717 0.604134i
\(365\) 8.65765 26.8843i 0.453162 1.40719i
\(366\) 28.6554 14.2138i 1.49784 0.742968i
\(367\) −20.4151 14.8325i −1.06566 0.774248i −0.0905333 0.995893i \(-0.528857\pi\)
−0.975127 + 0.221646i \(0.928857\pi\)
\(368\) 7.64854 1.53821i 0.398707 0.0801848i
\(369\) 1.15003 + 31.6705i 0.0598681 + 1.64870i
\(370\) 2.07732 11.2000i 0.107994 0.582260i
\(371\) 11.2229 8.15388i 0.582662 0.423329i
\(372\) −13.5134 + 3.80490i −0.700636 + 0.197275i
\(373\) 5.54492 1.80165i 0.287105 0.0932862i −0.161924 0.986803i \(-0.551770\pi\)
0.449029 + 0.893517i \(0.351770\pi\)
\(374\) 0.276295 + 0.583379i 0.0142869 + 0.0301658i
\(375\) −15.3655 + 11.7856i −0.793471 + 0.608608i
\(376\) 8.02845 32.2684i 0.414036 1.66412i
\(377\) 2.98121 + 9.17522i 0.153540 + 0.472548i
\(378\) 11.7637 6.37715i 0.605061 0.328005i
\(379\) 6.83449 + 9.40687i 0.351064 + 0.483199i 0.947632 0.319364i \(-0.103469\pi\)
−0.596568 + 0.802563i \(0.703469\pi\)
\(380\) 29.6062 7.84180i 1.51877 0.402276i
\(381\) 1.90825 + 0.581960i 0.0977624 + 0.0298147i
\(382\) 14.7415 + 31.1258i 0.754243 + 1.59253i
\(383\) −7.25747 + 9.98905i −0.370839 + 0.510416i −0.953129 0.302565i \(-0.902157\pi\)
0.582289 + 0.812982i \(0.302157\pi\)
\(384\) 19.5886 + 0.533691i 0.999629 + 0.0272348i
\(385\) 3.10178 + 0.998876i 0.158081 + 0.0509074i
\(386\) −2.16186 2.29068i −0.110036 0.116592i
\(387\) −5.39092 14.7476i −0.274036 0.749664i
\(388\) −0.948123 + 0.608347i −0.0481336 + 0.0308841i
\(389\) 11.4198 3.71053i 0.579009 0.188131i −0.00484763 0.999988i \(-0.501543\pi\)
0.583857 + 0.811857i \(0.301543\pi\)
\(390\) −13.0497 13.2645i −0.660798 0.671675i
\(391\) 1.05793 + 0.343743i 0.0535020 + 0.0173838i
\(392\) −6.70210 7.97922i −0.338507 0.403012i
\(393\) −3.43081 + 1.18399i −0.173061 + 0.0597244i
\(394\) 1.14005 6.05833i 0.0574348 0.305214i
\(395\) −0.847872 + 0.00221527i −0.0426610 + 0.000111462i
\(396\) −2.73809 3.94470i −0.137594 0.198229i
\(397\) −8.27856 11.3945i −0.415489 0.571872i 0.549057 0.835785i \(-0.314987\pi\)
−0.964546 + 0.263913i \(0.914987\pi\)
\(398\) −21.5807 22.8666i −1.08174 1.14620i
\(399\) −7.04635 20.4180i −0.352759 1.02218i
\(400\) 4.04569 + 19.5865i 0.202284 + 0.979327i
\(401\) 17.2299i 0.860422i 0.902728 + 0.430211i \(0.141561\pi\)
−0.902728 + 0.430211i \(0.858439\pi\)
\(402\) −10.9497 + 20.9294i −0.546121 + 1.04386i
\(403\) 11.1385 8.09261i 0.554849 0.403122i
\(404\) 2.46449 + 0.142723i 0.122613 + 0.00710076i
\(405\) −1.51206 20.0677i −0.0751346 0.997173i
\(406\) −7.18677 1.35240i −0.356673 0.0671183i
\(407\) 2.88284i 0.142897i
\(408\) 2.39665 + 1.43617i 0.118652 + 0.0711012i
\(409\) 1.46342 4.50396i 0.0723617 0.222706i −0.908334 0.418245i \(-0.862645\pi\)
0.980696 + 0.195538i \(0.0626454\pi\)
\(410\) −6.09200 + 32.8454i −0.300862 + 1.62212i
\(411\) −2.74698 3.64010i −0.135498 0.179553i
\(412\) 6.59247 + 10.2745i 0.324788 + 0.506189i
\(413\) 4.72408 14.5392i 0.232457 0.715429i
\(414\) −8.18237 1.23419i −0.402142 0.0606572i
\(415\) −3.86994 11.8054i −0.189968 0.579504i
\(416\) −18.2018 + 6.16593i −0.892419 + 0.302309i
\(417\) 5.82454 19.0987i 0.285229 0.935267i
\(418\) −7.00516 + 3.31773i −0.342634 + 0.162275i
\(419\) 25.6302 + 18.6215i 1.25212 + 0.909717i 0.998343 0.0575456i \(-0.0183275\pi\)
0.253776 + 0.967263i \(0.418327\pi\)
\(420\) 13.5670 3.85827i 0.662000 0.188265i
\(421\) −17.3178 + 12.5821i −0.844020 + 0.613216i −0.923491 0.383621i \(-0.874677\pi\)
0.0794709 + 0.996837i \(0.474677\pi\)
\(422\) −6.99426 + 12.7980i −0.340475 + 0.622995i
\(423\) −19.6817 + 29.2669i −0.956956 + 1.42301i
\(424\) −20.9100 5.20245i −1.01548 0.252653i
\(425\) −0.867019 + 2.71663i −0.0420566 + 0.131776i
\(426\) 20.9578 + 21.4144i 1.01541 + 1.03753i
\(427\) −7.34808 22.6151i −0.355598 1.09442i
\(428\) 2.00471 + 0.116097i 0.0969015 + 0.00561176i
\(429\) 3.85943 + 2.69841i 0.186335 + 0.130280i
\(430\) −2.15824 16.4101i −0.104080 0.791366i
\(431\) 0.503603 + 0.365889i 0.0242577 + 0.0176243i 0.599848 0.800114i \(-0.295228\pi\)
−0.575590 + 0.817738i \(0.695228\pi\)
\(432\) −19.3371 7.62075i −0.930358 0.366654i
\(433\) 4.45711 6.13469i 0.214195 0.294814i −0.688377 0.725353i \(-0.741676\pi\)
0.902572 + 0.430539i \(0.141676\pi\)
\(434\) 1.33383 + 10.3508i 0.0640257 + 0.496854i
\(435\) −6.27854 + 9.03011i −0.301033 + 0.432961i
\(436\) −36.3089 14.1668i −1.73888 0.678465i
\(437\) −4.12764 + 12.7036i −0.197452 + 0.607694i
\(438\) 13.7485 + 27.7172i 0.656927 + 1.32438i
\(439\) −8.83207 + 2.86971i −0.421532 + 0.136964i −0.512099 0.858926i \(-0.671132\pi\)
0.0905673 + 0.995890i \(0.471132\pi\)
\(440\) −1.91068 4.68711i −0.0910883 0.223449i
\(441\) 3.79463 + 10.3808i 0.180697 + 0.494322i
\(442\) −2.69285 0.506736i −0.128086 0.0241030i
\(443\) 35.1121i 1.66823i −0.551593 0.834114i \(-0.685980\pi\)
0.551593 0.834114i \(-0.314020\pi\)
\(444\) 6.92808 + 10.3782i 0.328792 + 0.492530i
\(445\) −9.28748 + 28.8401i −0.440269 + 1.36715i
\(446\) 7.95432 + 4.34714i 0.376648 + 0.205843i
\(447\) 11.2884 + 7.89256i 0.533925 + 0.373305i
\(448\) 2.51540 14.3487i 0.118842 0.677911i
\(449\) 10.5162i 0.496290i −0.968723 0.248145i \(-0.920179\pi\)
0.968723 0.248145i \(-0.0798210\pi\)
\(450\) 3.05426 20.9922i 0.143979 0.989581i
\(451\) 8.45429i 0.398097i
\(452\) −19.5902 7.64358i −0.921446 0.359524i
\(453\) −19.7479 13.8072i −0.927838 0.648719i
\(454\) 4.41818 8.08430i 0.207356 0.379415i
\(455\) −11.1697 + 8.15992i −0.523642 + 0.382543i
\(456\) −17.2455 + 28.7788i −0.807593 + 1.34769i
\(457\) 35.6181i 1.66614i −0.553165 0.833072i \(-0.686580\pi\)
0.553165 0.833072i \(-0.313420\pi\)
\(458\) 4.11332 21.8586i 0.192203 1.02139i
\(459\) −1.86979 2.29918i −0.0872744 0.107317i
\(460\) −8.13417 3.14928i −0.379258 0.146836i
\(461\) 30.8965 10.0389i 1.43899 0.467557i 0.517409 0.855739i \(-0.326897\pi\)
0.921583 + 0.388182i \(0.126897\pi\)
\(462\) −3.19787 + 1.58623i −0.148779 + 0.0737980i
\(463\) −1.66383 + 5.12073i −0.0773245 + 0.237980i −0.982246 0.187599i \(-0.939930\pi\)
0.904921 + 0.425579i \(0.139930\pi\)
\(464\) 5.57120 + 9.89893i 0.258636 + 0.459546i
\(465\) 15.0251 + 4.53936i 0.696774 + 0.210508i
\(466\) −31.2370 + 4.02527i −1.44703 + 0.186467i
\(467\) 6.84008 9.41456i 0.316521 0.435654i −0.620880 0.783906i \(-0.713225\pi\)
0.937401 + 0.348252i \(0.113225\pi\)
\(468\) 20.3789 + 0.439254i 0.942014 + 0.0203045i
\(469\) 14.2059 + 10.3212i 0.655967 + 0.476588i
\(470\) −26.9707 + 25.5875i −1.24406 + 1.18026i
\(471\) −13.4131 9.37804i −0.618041 0.432117i
\(472\) −22.0122 + 8.90621i −1.01320 + 0.409941i
\(473\) 1.29442 + 3.98381i 0.0595175 + 0.183176i
\(474\) 0.663799 0.649646i 0.0304893 0.0298392i
\(475\) −32.6211 10.4111i −1.49676 0.477694i
\(476\) 1.31597 1.60698i 0.0603175 0.0736558i
\(477\) 18.9650 + 12.7537i 0.868348 + 0.583954i
\(478\) −1.54374 0.843677i −0.0706092 0.0385889i
\(479\) −12.5883 + 9.14595i −0.575175 + 0.417889i −0.836981 0.547231i \(-0.815682\pi\)
0.261806 + 0.965120i \(0.415682\pi\)
\(480\) −18.1426 12.2819i −0.828094 0.560589i
\(481\) −9.90033 7.19301i −0.451416 0.327973i
\(482\) −7.08019 14.9493i −0.322494 0.680924i
\(483\) −1.79445 + 5.88399i −0.0816501 + 0.267731i
\(484\) −11.1889 17.4381i −0.508585 0.792640i
\(485\) 1.25947 0.00329068i 0.0571896 0.000149422i
\(486\) 16.5217 + 14.5957i 0.749440 + 0.662073i
\(487\) −3.42465 + 10.5400i −0.155186 + 0.477613i −0.998180 0.0603102i \(-0.980791\pi\)
0.842994 + 0.537923i \(0.180791\pi\)
\(488\) −19.5572 + 31.3326i −0.885313 + 1.41836i
\(489\) 21.3505 + 28.2922i 0.965503 + 1.27942i
\(490\) 1.51917 + 11.5510i 0.0686293 + 0.521819i
\(491\) −9.09567 + 27.9936i −0.410482 + 1.26333i 0.505748 + 0.862681i \(0.331216\pi\)
−0.916230 + 0.400652i \(0.868784\pi\)
\(492\) −20.3175 30.4355i −0.915983 1.37214i
\(493\) 1.61959i 0.0729425i
\(494\) 6.08485 32.3355i 0.273770 1.45484i
\(495\) 0.208836 + 5.36457i 0.00938648 + 0.241119i
\(496\) 10.9786 11.9271i 0.492953 0.535542i
\(497\) 18.0205 13.0927i 0.808331 0.587287i
\(498\) 12.0587 + 6.30879i 0.540362 + 0.282704i
\(499\) 7.05232i 0.315705i 0.987463 + 0.157853i \(0.0504571\pi\)
−0.987463 + 0.157853i \(0.949543\pi\)
\(500\) 7.96426 20.8943i 0.356172 0.934420i
\(501\) −0.0470795 0.136421i −0.00210336 0.00609483i
\(502\) −24.1248 + 22.7681i −1.07674 + 1.01619i
\(503\) −3.33390 4.58871i −0.148651 0.204601i 0.728197 0.685367i \(-0.240358\pi\)
−0.876849 + 0.480767i \(0.840358\pi\)
\(504\) −7.70034 + 13.3956i −0.343000 + 0.596689i
\(505\) −2.23712 1.61645i −0.0995503 0.0719309i
\(506\) 2.16942 + 0.408239i 0.0964425 + 0.0181484i
\(507\) 2.38812 0.824151i 0.106060 0.0366018i
\(508\) −2.22839 + 0.584007i −0.0988687 + 0.0259111i
\(509\) −20.5138 6.66534i −0.909259 0.295436i −0.183206 0.983075i \(-0.558647\pi\)
−0.726053 + 0.687638i \(0.758647\pi\)
\(510\) −1.39541 2.79482i −0.0617899 0.123757i
\(511\) 21.8747 7.10751i 0.967678 0.314418i
\(512\) −19.5791 + 11.3428i −0.865281 + 0.501286i
\(513\) 27.6084 22.4523i 1.21894 0.991293i
\(514\) 26.7407 25.2369i 1.17948 1.11315i
\(515\) −0.0356600 13.6485i −0.00157137 0.601425i
\(516\) 14.2339 + 11.2310i 0.626612 + 0.494418i
\(517\) 5.53033 7.61185i 0.243224 0.334769i
\(518\) 8.38353 3.97054i 0.368351 0.174455i
\(519\) −11.1124 3.38897i −0.487782 0.148759i
\(520\) 20.8640 + 5.13316i 0.914948 + 0.225104i
\(521\) −9.57343 13.1767i −0.419420 0.577282i 0.546065 0.837743i \(-0.316125\pi\)
−0.965484 + 0.260461i \(0.916125\pi\)
\(522\) −1.97241 11.8855i −0.0863301 0.520214i
\(523\) 7.50639 + 23.1023i 0.328231 + 1.01019i 0.969961 + 0.243261i \(0.0782173\pi\)
−0.641729 + 0.766931i \(0.721783\pi\)
\(524\) 2.65521 3.24237i 0.115993 0.141643i
\(525\) −15.1077 4.52127i −0.659356 0.197324i
\(526\) 9.38002 4.44249i 0.408988 0.193702i
\(527\) 2.19821 0.714243i 0.0957557 0.0311129i
\(528\) 5.08138 + 2.21884i 0.221139 + 0.0965626i
\(529\) −15.5298 + 11.2830i −0.675208 + 0.490567i
\(530\) 16.5807 + 17.4770i 0.720220 + 0.759153i
\(531\) 25.1695 0.913965i 1.09227 0.0396627i
\(532\) 19.2965 + 15.8021i 0.836608 + 0.685107i
\(533\) 29.0340 + 21.0944i 1.25760 + 0.913702i
\(534\) −14.7486 29.7336i −0.638236 1.28670i
\(535\) −1.81976 1.31488i −0.0786751 0.0568474i
\(536\) −1.91607 27.2074i −0.0827615 1.17518i
\(537\) −0.358709 19.7634i −0.0154794 0.852852i
\(538\) −3.74424 29.0561i −0.161425 1.25270i
\(539\) −0.911133 2.80418i −0.0392453 0.120785i
\(540\) 13.6440 + 18.8106i 0.587146 + 0.809481i
\(541\) −3.44912 + 10.6153i −0.148289 + 0.456387i −0.997419 0.0717967i \(-0.977127\pi\)
0.849130 + 0.528184i \(0.177127\pi\)
\(542\) −4.02135 0.756731i −0.172732 0.0325044i
\(543\) −12.0214 + 4.14863i −0.515886 + 0.178035i
\(544\) −3.22600 + 0.0402015i −0.138314 + 0.00172363i
\(545\) 25.7048 + 35.1860i 1.10107 + 1.50720i
\(546\) 2.53159 14.9401i 0.108342 0.639376i
\(547\) 1.81953 1.32197i 0.0777977 0.0565233i −0.548207 0.836343i \(-0.684689\pi\)
0.626004 + 0.779820i \(0.284689\pi\)
\(548\) 4.90558 + 1.91403i 0.209556 + 0.0817632i
\(549\) 30.8374 24.1619i 1.31611 1.03121i
\(550\) −1.01746 + 5.56681i −0.0433849 + 0.237370i
\(551\) −19.4479 −0.828506
\(552\) 8.79103 3.74393i 0.374171 0.159352i
\(553\) −0.405845 0.558597i −0.0172583 0.0237540i
\(554\) 13.5199 24.7385i 0.574406 1.05104i
\(555\) −0.289617 13.9481i −0.0122935 0.592063i
\(556\) 5.84504 + 22.3028i 0.247885 + 0.945850i
\(557\) 16.9838 0.719626 0.359813 0.933024i \(-0.382840\pi\)
0.359813 + 0.933024i \(0.382840\pi\)
\(558\) −15.2620 + 7.91864i −0.646091 + 0.335223i
\(559\) −16.9111 5.49474i −0.715263 0.232403i
\(560\) −10.9989 + 12.0120i −0.464790 + 0.507600i
\(561\) 0.476217 + 0.631048i 0.0201059 + 0.0266429i
\(562\) −0.579479 4.49689i −0.0244439 0.189690i
\(563\) 32.4238 + 10.5351i 1.36650 + 0.444003i 0.898208 0.439570i \(-0.144869\pi\)
0.468293 + 0.883573i \(0.344869\pi\)
\(564\) 1.61634 40.6934i 0.0680604 1.71350i
\(565\) 13.8689 + 18.9844i 0.583468 + 0.798678i
\(566\) −19.4363 + 2.50460i −0.816969 + 0.105276i
\(567\) 12.5249 10.5691i 0.525998 0.443862i
\(568\) −33.5751 8.35356i −1.40878 0.350507i
\(569\) −17.1184 + 23.5614i −0.717640 + 0.987747i 0.281959 + 0.959426i \(0.409016\pi\)
−0.999599 + 0.0283201i \(0.990984\pi\)
\(570\) 33.5599 16.7560i 1.40567 0.701831i
\(571\) 16.1661 + 22.2507i 0.676529 + 0.931162i 0.999886 0.0151153i \(-0.00481154\pi\)
−0.323357 + 0.946277i \(0.604812\pi\)
\(572\) −5.42863 0.314383i −0.226982 0.0131450i
\(573\) 25.4082 + 33.6692i 1.06144 + 1.40655i
\(574\) −24.5858 + 11.6441i −1.02619 + 0.486016i
\(575\) 5.77329 + 7.85955i 0.240763 + 0.327766i
\(576\) 23.6254 4.22381i 0.984392 0.175992i
\(577\) −12.8350 + 4.17033i −0.534326 + 0.173613i −0.563737 0.825954i \(-0.690637\pi\)
0.0294110 + 0.999567i \(0.490637\pi\)
\(578\) 20.6930 + 11.3090i 0.860715 + 0.470392i
\(579\) −3.16151 2.21044i −0.131388 0.0918629i
\(580\) 0.701111 12.6804i 0.0291120 0.526525i
\(581\) 5.94666 8.18487i 0.246709 0.339566i
\(582\) −0.986041 + 0.965017i −0.0408727 + 0.0400012i
\(583\) −4.93249 3.58366i −0.204283 0.148420i
\(584\) −30.3068 18.9169i −1.25410 0.782788i
\(585\) −18.9443 12.6680i −0.783249 0.523759i
\(586\) 31.4645 29.6950i 1.29978 1.22669i
\(587\) −19.9702 6.48872i −0.824259 0.267818i −0.133634 0.991031i \(-0.542665\pi\)
−0.690625 + 0.723213i \(0.742665\pi\)
\(588\) −10.0191 7.90543i −0.413183 0.326015i
\(589\) 8.57657 + 26.3960i 0.353392 + 1.08763i
\(590\) 26.1033 + 4.84150i 1.07466 + 0.199322i
\(591\) −0.137014 7.54889i −0.00563600 0.310520i
\(592\) −13.0978 6.00462i −0.538317 0.246789i
\(593\) −25.7697 −1.05824 −0.529118 0.848548i \(-0.677477\pi\)
−0.529118 + 0.848548i \(0.677477\pi\)
\(594\) −4.26329 4.05105i −0.174925 0.166217i
\(595\) −2.20668 + 0.723373i −0.0904651 + 0.0296554i
\(596\) −15.8782 0.919537i −0.650395 0.0376657i
\(597\) −31.5597 22.0657i −1.29165 0.903089i
\(598\) −6.81495 + 6.43170i −0.278684 + 0.263012i
\(599\) 33.3719 1.36354 0.681770 0.731566i \(-0.261210\pi\)
0.681770 + 0.731566i \(0.261210\pi\)
\(600\) 9.71538 + 22.4858i 0.396629 + 0.917979i
\(601\) −23.8413 −0.972507 −0.486254 0.873818i \(-0.661637\pi\)
−0.486254 + 0.873818i \(0.661637\pi\)
\(602\) 9.80246 9.25120i 0.399518 0.377051i
\(603\) −7.93532 + 27.8196i −0.323151 + 1.13290i
\(604\) 27.7772 + 1.60863i 1.13024 + 0.0654543i
\(605\) 0.0605228 + 23.1645i 0.00246060 + 0.941770i
\(606\) 2.99113 0.440763i 0.121506 0.0179048i
\(607\) 35.6213 1.44583 0.722913 0.690940i \(-0.242803\pi\)
0.722913 + 0.690940i \(0.242803\pi\)
\(608\) −0.482737 38.7376i −0.0195776 1.57102i
\(609\) −8.95497 + 0.162534i −0.362874 + 0.00658623i
\(610\) 37.2745 17.7730i 1.50920 0.719609i
\(611\) 12.3420 + 37.9849i 0.499306 + 1.53671i
\(612\) 3.23093 + 1.12733i 0.130603 + 0.0455696i
\(613\) 13.0452 + 4.23863i 0.526889 + 0.171197i 0.560370 0.828243i \(-0.310659\pi\)
−0.0334802 + 0.999439i \(0.510659\pi\)
\(614\) −3.82841 + 3.61312i −0.154502 + 0.145814i
\(615\) 0.849339 + 40.9046i 0.0342486 + 1.64943i
\(616\) 2.18254 3.49665i 0.0879371 0.140884i
\(617\) 15.5169 + 11.2737i 0.624686 + 0.453861i 0.854555 0.519361i \(-0.173830\pi\)
−0.229869 + 0.973222i \(0.573830\pi\)
\(618\) 10.4576 + 10.6854i 0.420666 + 0.429831i
\(619\) −4.26674 + 5.87266i −0.171495 + 0.236042i −0.886109 0.463476i \(-0.846602\pi\)
0.714615 + 0.699518i \(0.246602\pi\)
\(620\) −17.5199 + 4.64050i −0.703616 + 0.186367i
\(621\) −10.1197 + 0.551506i −0.406088 + 0.0221312i
\(622\) 29.7196 + 16.2422i 1.19165 + 0.651251i
\(623\) −23.4660 + 7.62457i −0.940146 + 0.305472i
\(624\) −20.2987 + 11.9144i −0.812597 + 0.476957i
\(625\) −20.0708 + 14.9052i −0.802830 + 0.596208i
\(626\) −37.3558 + 17.6922i −1.49304 + 0.707121i
\(627\) −7.57757 + 5.71837i −0.302619 + 0.228370i
\(628\) 18.8666 + 1.09260i 0.752860 + 0.0435997i
\(629\) −1.20755 1.66205i −0.0481481 0.0662702i
\(630\) 15.3130 7.99595i 0.610084 0.318566i
\(631\) 11.1723 15.3773i 0.444761 0.612162i −0.526501 0.850175i \(-0.676496\pi\)
0.971262 + 0.238013i \(0.0764962\pi\)
\(632\) −0.258942 + 1.04076i −0.0103002 + 0.0413991i
\(633\) −5.21056 + 17.0854i −0.207101 + 0.679084i
\(634\) 2.01810 0.260057i 0.0801490 0.0103282i
\(635\) 2.45157 + 0.789487i 0.0972875 + 0.0313298i
\(636\) −26.3693 1.04739i −1.04561 0.0415318i
\(637\) 11.9036 + 3.86771i 0.471638 + 0.153244i
\(638\) 0.410773 + 3.18769i 0.0162627 + 0.126202i
\(639\) 30.4521 + 20.4787i 1.20467 + 0.810124i
\(640\) 25.2751 + 1.08177i 0.999085 + 0.0427606i
\(641\) −14.5392 4.72407i −0.574263 0.186589i 0.00746563 0.999972i \(-0.497624\pi\)
−0.581729 + 0.813383i \(0.697624\pi\)
\(642\) 2.43310 0.358535i 0.0960269 0.0141502i
\(643\) −14.5941 −0.575536 −0.287768 0.957700i \(-0.592913\pi\)
−0.287768 + 0.957700i \(0.592913\pi\)
\(644\) −1.80076 6.87113i −0.0709599 0.270760i
\(645\) −6.66304 19.1449i −0.262357 0.753831i
\(646\) 2.64899 4.84707i 0.104223 0.190705i
\(647\) 25.2315 + 34.7282i 0.991952 + 1.36531i 0.930135 + 0.367218i \(0.119690\pi\)
0.0618172 + 0.998087i \(0.480310\pi\)
\(648\) −25.0835 4.33824i −0.985371 0.170422i
\(649\) −6.71889 −0.263740
\(650\) −16.5791 17.3841i −0.650284 0.681860i
\(651\) 4.16978 + 12.0826i 0.163426 + 0.473556i
\(652\) −38.1280 14.8765i −1.49321 0.582610i
\(653\) −0.112789 + 0.0819458i −0.00441377 + 0.00320679i −0.589990 0.807411i \(-0.700868\pi\)
0.585576 + 0.810617i \(0.300868\pi\)
\(654\) −47.0633 7.97485i −1.84032 0.311841i
\(655\) −4.45237 + 1.45953i −0.173968 + 0.0570287i
\(656\) 38.4110 + 17.6093i 1.49970 + 0.687529i
\(657\) 23.3709 + 29.8278i 0.911785 + 1.16369i
\(658\) −29.7528 5.59885i −1.15989 0.218266i
\(659\) 6.59221 20.2887i 0.256796 0.790337i −0.736674 0.676248i \(-0.763605\pi\)
0.993470 0.114089i \(-0.0363950\pi\)
\(660\) −3.45532 5.14688i −0.134498 0.200342i
\(661\) −5.23008 16.0965i −0.203427 0.626083i −0.999774 0.0212437i \(-0.993237\pi\)
0.796348 0.604839i \(-0.206763\pi\)
\(662\) −4.62064 35.8573i −0.179586 1.39363i
\(663\) −3.35539 + 0.0609009i −0.130312 + 0.00236519i
\(664\) −15.6758 + 1.10396i −0.608340 + 0.0428421i
\(665\) −8.68621 26.4976i −0.336837 1.02753i
\(666\) 10.8858 + 10.7265i 0.421818 + 0.415644i
\(667\) 4.48091 + 3.25557i 0.173502 + 0.126056i
\(668\) 0.128928 + 0.105580i 0.00498835 + 0.00408502i
\(669\) 10.6191 + 3.23852i 0.410558 + 0.125208i
\(670\) −14.5540 + 26.7968i −0.562271 + 1.03525i
\(671\) −8.45496 + 6.14289i −0.326400 + 0.237144i
\(672\) −0.546029 17.8331i −0.0210635 0.687927i
\(673\) 17.7151 5.75598i 0.682866 0.221877i 0.0530162 0.998594i \(-0.483117\pi\)
0.629850 + 0.776717i \(0.283117\pi\)
\(674\) −27.3881 + 12.9713i −1.05495 + 0.499637i
\(675\) −1.54935 25.9345i −0.0596346 0.998220i
\(676\) −1.84823 + 2.25694i −0.0710859 + 0.0868055i
\(677\) −2.93522 9.03368i −0.112810 0.347193i 0.878674 0.477422i \(-0.158429\pi\)
−0.991484 + 0.130229i \(0.958429\pi\)
\(678\) −25.3927 4.30278i −0.975199 0.165247i
\(679\) 0.602862 + 0.829769i 0.0231357 + 0.0318436i
\(680\) 3.06489 + 1.90194i 0.117533 + 0.0729359i
\(681\) 3.29144 10.7926i 0.126128 0.413575i
\(682\) 4.14541 1.96331i 0.158736 0.0751792i
\(683\) 1.42535 1.96183i 0.0545395 0.0750672i −0.780876 0.624686i \(-0.785227\pi\)
0.835416 + 0.549619i \(0.185227\pi\)
\(684\) −13.5369 + 38.7968i −0.517596 + 1.48343i
\(685\) −3.47290 4.75387i −0.132693 0.181636i
\(686\) −20.0097 + 18.8845i −0.763975 + 0.721012i
\(687\) −0.494349 27.2366i −0.0188606 1.03914i
\(688\) −20.7961 2.41680i −0.792845 0.0921395i
\(689\) 24.6143 7.99766i 0.937729 0.304687i
\(690\) −10.5374 1.75724i −0.401151 0.0668971i
\(691\) 4.66222 + 1.51485i 0.177359 + 0.0576275i 0.396350 0.918099i \(-0.370277\pi\)
−0.218991 + 0.975727i \(0.570277\pi\)
\(692\) 12.9767 3.40090i 0.493302 0.129283i
\(693\) −3.44138 + 2.69641i −0.130727 + 0.102428i
\(694\) 18.5901 + 3.49825i 0.705670 + 0.132792i
\(695\) 7.90158 24.5365i 0.299724 0.930723i
\(696\) 9.13951 + 10.4886i 0.346432 + 0.397568i
\(697\) 3.54129 + 4.87417i 0.134136 + 0.184622i
\(698\) 12.6516 11.9401i 0.478871 0.451941i
\(699\) −36.4634 + 12.5837i −1.37917 + 0.475959i
\(700\) 17.5901 4.70832i 0.664844 0.177958i
\(701\) 2.98414i 0.112710i −0.998411 0.0563548i \(-0.982052\pi\)
0.998411 0.0563548i \(-0.0179478\pi\)
\(702\) 24.5497 4.53328i 0.926568 0.171098i
\(703\) 19.9577 14.5001i 0.752721 0.546883i
\(704\) −6.33927 + 0.897331i −0.238920 + 0.0338195i
\(705\) −25.9928 + 37.3842i −0.978946 + 1.40797i
\(706\) −4.88713 + 25.9707i −0.183930 + 0.977421i
\(707\) 2.24760i 0.0845296i
\(708\) −24.1881 + 16.1470i −0.909045 + 0.606840i
\(709\) −1.13807 + 3.50262i −0.0427411 + 0.131544i −0.970150 0.242505i \(-0.922031\pi\)
0.927409 + 0.374049i \(0.122031\pi\)
\(710\) 26.6236 + 28.0628i 0.999167 + 1.05318i
\(711\) 0.634795 0.943949i 0.0238067 0.0354009i
\(712\) 32.5116 + 20.2931i 1.21842 + 0.760517i
\(713\) 2.44259 7.51752i 0.0914757 0.281533i
\(714\) 1.17925 2.25402i 0.0441322 0.0843547i
\(715\) 4.92779 + 3.56061i 0.184289 + 0.133159i
\(716\) 12.3259 + 19.2102i 0.460640 + 0.717918i
\(717\) −2.06091 0.628519i −0.0769663 0.0234725i
\(718\) 13.5556 + 28.6217i 0.505890 + 1.06815i
\(719\) −37.7629 27.4363i −1.40832 1.02320i −0.993564 0.113268i \(-0.963868\pi\)
−0.414753 0.909934i \(-0.636132\pi\)
\(720\) −24.8083 10.2250i −0.924549 0.381062i
\(721\) 8.99194 6.53303i 0.334878 0.243303i
\(722\) 34.6246 + 18.9228i 1.28859 + 0.704234i
\(723\) −12.2033 16.1709i −0.453845 0.601402i
\(724\) 9.30369 11.3611i 0.345769 0.422230i
\(725\) −8.28568 + 11.5305i −0.307723 + 0.428232i
\(726\) −17.7488 18.1355i −0.658720 0.673071i
\(727\) −1.82280 5.61001i −0.0676040 0.208064i 0.911548 0.411195i \(-0.134888\pi\)
−0.979152 + 0.203131i \(0.934888\pi\)
\(728\) 6.56261 + 16.2199i 0.243227 + 0.601150i
\(729\) 23.4388 + 13.4024i 0.868103 + 0.496385i
\(730\) 17.1912 + 36.0542i 0.636274 + 1.33443i
\(731\) −2.41500 1.75460i −0.0893219 0.0648962i
\(732\) −15.6753 + 42.4336i −0.579375 + 1.56839i
\(733\) 0.998702 1.37460i 0.0368879 0.0507718i −0.790175 0.612882i \(-0.790010\pi\)
0.827063 + 0.562110i \(0.190010\pi\)
\(734\) 35.3943 4.56098i 1.30643 0.168349i
\(735\) 4.69007 + 13.4760i 0.172996 + 0.497069i
\(736\) −6.37345 + 9.00620i −0.234928 + 0.331973i
\(737\) 2.38482 7.33972i 0.0878459 0.270362i
\(738\) −31.9241 31.4568i −1.17514 1.15794i
\(739\) −27.5191 + 8.94150i −1.01231 + 0.328918i −0.767773 0.640722i \(-0.778635\pi\)
−0.244534 + 0.969641i \(0.578635\pi\)
\(740\) 8.73489 + 13.5356i 0.321101 + 0.497578i
\(741\) −0.731293 40.2912i −0.0268647 1.48013i
\(742\) −3.62806 + 19.2799i −0.133190 + 0.707787i
\(743\) 14.8662i 0.545390i 0.962101 + 0.272695i \(0.0879149\pi\)
−0.962101 + 0.272695i \(0.912085\pi\)
\(744\) 10.2053 17.0303i 0.374143 0.624360i
\(745\) 14.4133 + 10.4144i 0.528061 + 0.381555i
\(746\) −3.95416 + 7.23525i −0.144772 + 0.264901i
\(747\) 16.0286 + 4.57202i 0.586455 + 0.167282i
\(748\) −0.850433 0.331817i −0.0310949 0.0121324i
\(749\) 1.82829i 0.0668041i
\(750\) 4.36357 27.0363i 0.159335 0.987225i
\(751\) 25.3737i 0.925901i −0.886384 0.462950i \(-0.846791\pi\)
0.886384 0.462950i \(-0.153209\pi\)
\(752\) 23.0645 + 40.9810i 0.841075 + 1.49442i
\(753\) −23.2798 + 33.2962i −0.848363 + 1.21338i
\(754\) −11.9722 6.54298i −0.436002 0.238281i
\(755\) −25.2145 18.2189i −0.917649 0.663054i
\(756\) −5.90896 + 17.9775i −0.214907 + 0.653836i
\(757\) 3.24743i 0.118030i −0.998257 0.0590150i \(-0.981204\pi\)
0.998257 0.0590150i \(-0.0187960\pi\)
\(758\) −16.1602 3.04100i −0.586964 0.110454i
\(759\) 2.70318 0.0490632i 0.0981191 0.00178088i
\(760\) −22.8383 + 36.8029i −0.828431 + 1.33498i
\(761\) −27.5057 + 8.93716i −0.997082 + 0.323972i −0.761699 0.647931i \(-0.775635\pi\)
−0.235383 + 0.971903i \(0.575635\pi\)
\(762\) −2.52752 + 1.25372i −0.0915624 + 0.0454173i
\(763\) −10.9656 + 33.7485i −0.396980 + 1.22178i
\(764\) −45.3743 17.7039i −1.64159 0.640503i
\(765\) −2.36749 3.00537i −0.0855967 0.108659i
\(766\) −2.23167 17.3183i −0.0806336 0.625736i
\(767\) 16.7644 23.0743i 0.605328 0.833163i
\(768\) −20.6650 + 18.4651i −0.745683 + 0.666300i
\(769\) 13.1748 + 9.57208i 0.475097 + 0.345178i 0.799424 0.600767i \(-0.205138\pi\)
−0.324328 + 0.945945i \(0.605138\pi\)
\(770\) −4.15975 + 1.98343i −0.149907 + 0.0714779i
\(771\) 25.8041 36.9066i 0.929312 1.32916i
\(772\) 4.44695 + 0.257532i 0.160049 + 0.00926877i
\(773\) 8.38178 + 25.7965i 0.301472 + 0.927835i 0.980970 + 0.194158i \(0.0621974\pi\)