Properties

Label 300.2.r.a.179.29
Level $300$
Weight $2$
Character 300.179
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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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 179.29
Character \(\chi\) \(=\) 300.179
Dual form 300.2.r.a.119.29

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0273113 - 1.41395i) q^{2} +(1.04604 + 1.38051i) q^{3} +(-1.99851 - 0.0772337i) q^{4} +(-1.34521 + 1.78617i) q^{5} +(1.98054 - 1.44134i) q^{6} +2.98415 q^{7} +(-0.163786 + 2.82368i) q^{8} +(-0.811603 + 2.88813i) q^{9} +O(q^{10})\) \(q+(0.0273113 - 1.41395i) q^{2} +(1.04604 + 1.38051i) q^{3} +(-1.99851 - 0.0772337i) q^{4} +(-1.34521 + 1.78617i) q^{5} +(1.98054 - 1.44134i) q^{6} +2.98415 q^{7} +(-0.163786 + 2.82368i) q^{8} +(-0.811603 + 2.88813i) q^{9} +(2.48882 + 1.95084i) q^{10} +(-0.988386 + 3.04194i) q^{11} +(-1.98390 - 2.83975i) q^{12} +(-3.49341 + 1.13508i) q^{13} +(0.0815010 - 4.21943i) q^{14} +(-3.87297 + 0.0113391i) q^{15} +(3.98807 + 0.308704i) q^{16} +(4.35269 - 3.16242i) q^{17} +(4.06151 + 1.22644i) q^{18} +(1.79279 + 2.46756i) q^{19} +(2.82636 - 3.46579i) q^{20} +(3.12154 + 4.11964i) q^{21} +(4.27416 + 1.48061i) q^{22} +(4.56852 + 1.48440i) q^{23} +(-4.06944 + 2.72757i) q^{24} +(-1.38083 - 4.80555i) q^{25} +(1.50953 + 4.97051i) q^{26} +(-4.83606 + 1.90067i) q^{27} +(-5.96384 - 0.230477i) q^{28} +(3.22418 - 4.43770i) q^{29} +(-0.0897429 + 5.47649i) q^{30} +(-2.59765 - 3.57536i) q^{31} +(0.545412 - 5.63050i) q^{32} +(-5.23331 + 1.81751i) q^{33} +(-4.35262 - 6.24086i) q^{34} +(-4.01430 + 5.33021i) q^{35} +(1.84506 - 5.70927i) q^{36} +(-6.75575 + 2.19508i) q^{37} +(3.53797 - 2.46752i) q^{38} +(-5.22123 - 3.63535i) q^{39} +(-4.82326 - 4.09099i) q^{40} +(2.93562 - 0.953840i) q^{41} +(5.91022 - 4.30118i) q^{42} +9.03650 q^{43} +(2.21024 - 6.00301i) q^{44} +(-4.06693 - 5.33480i) q^{45} +(2.22364 - 6.41911i) q^{46} +(-2.83752 + 3.90551i) q^{47} +(3.74551 + 5.82848i) q^{48} +1.90514 q^{49} +(-6.83252 + 1.82118i) q^{50} +(8.91883 + 2.70091i) q^{51} +(7.06928 - 1.99866i) q^{52} +(-5.43840 - 3.95123i) q^{53} +(2.55538 + 6.88985i) q^{54} +(-4.10385 - 5.85747i) q^{55} +(-0.488763 + 8.42628i) q^{56} +(-1.53116 + 5.05612i) q^{57} +(-6.18663 - 4.68003i) q^{58} +(-1.32864 - 4.08914i) q^{59} +(7.74103 + 0.276462i) q^{60} +(3.92726 - 12.0869i) q^{61} +(-5.12633 + 3.57530i) q^{62} +(-2.42194 + 8.61861i) q^{63} +(-7.94635 - 0.924961i) q^{64} +(2.67192 - 7.76676i) q^{65} +(2.42695 + 7.44928i) q^{66} +(-10.6796 + 7.75919i) q^{67} +(-8.94314 + 5.98394i) q^{68} +(2.72962 + 7.85961i) q^{69} +(7.42701 + 5.82159i) q^{70} +(0.297957 + 0.216478i) q^{71} +(-8.02223 - 2.76474i) q^{72} +(6.69237 + 2.17448i) q^{73} +(2.91922 + 9.61224i) q^{74} +(5.18969 - 6.93305i) q^{75} +(-3.39232 - 5.06990i) q^{76} +(-2.94949 + 9.07760i) q^{77} +(-5.28280 + 7.28328i) q^{78} +(8.73021 - 12.0161i) q^{79} +(-5.91618 + 6.70812i) q^{80} +(-7.68260 - 4.68803i) q^{81} +(-1.26851 - 4.17687i) q^{82} +(2.22205 + 3.05839i) q^{83} +(-5.92024 - 8.47422i) q^{84} +(-0.206649 + 12.0288i) q^{85} +(0.246799 - 12.7772i) q^{86} +(9.49890 - 0.191007i) q^{87} +(-8.42758 - 3.28912i) q^{88} +(10.2283 + 3.32337i) q^{89} +(-7.65421 + 5.60473i) q^{90} +(-10.4249 + 3.38724i) q^{91} +(-9.01557 - 3.31943i) q^{92} +(2.21857 - 7.32605i) q^{93} +(5.44470 + 4.11878i) q^{94} +(-6.81915 - 0.117150i) q^{95} +(8.34347 - 5.13678i) q^{96} +(0.944770 - 1.30036i) q^{97} +(0.0520318 - 2.69377i) q^{98} +(-7.98334 - 5.32344i) 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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0273113 1.41395i 0.0193120 0.999814i
\(3\) 1.04604 + 1.38051i 0.603931 + 0.797036i
\(4\) −1.99851 0.0772337i −0.999254 0.0386168i
\(5\) −1.34521 + 1.78617i −0.601595 + 0.798801i
\(6\) 1.98054 1.44134i 0.808551 0.588426i
\(7\) 2.98415 1.12790 0.563951 0.825808i \(-0.309281\pi\)
0.563951 + 0.825808i \(0.309281\pi\)
\(8\) −0.163786 + 2.82368i −0.0579072 + 0.998322i
\(9\) −0.811603 + 2.88813i −0.270534 + 0.962710i
\(10\) 2.48882 + 1.95084i 0.787034 + 0.616909i
\(11\) −0.988386 + 3.04194i −0.298010 + 0.917179i 0.684184 + 0.729309i \(0.260158\pi\)
−0.982194 + 0.187870i \(0.939842\pi\)
\(12\) −1.98390 2.83975i −0.572702 0.819764i
\(13\) −3.49341 + 1.13508i −0.968899 + 0.314814i −0.750371 0.661017i \(-0.770125\pi\)
−0.218527 + 0.975831i \(0.570125\pi\)
\(14\) 0.0815010 4.21943i 0.0217821 1.12769i
\(15\) −3.87297 + 0.0113391i −0.999996 + 0.00292775i
\(16\) 3.98807 + 0.308704i 0.997017 + 0.0771761i
\(17\) 4.35269 3.16242i 1.05568 0.766999i 0.0823980 0.996600i \(-0.473742\pi\)
0.973285 + 0.229601i \(0.0737421\pi\)
\(18\) 4.06151 + 1.22644i 0.957306 + 0.289076i
\(19\) 1.79279 + 2.46756i 0.411293 + 0.566096i 0.963533 0.267589i \(-0.0862268\pi\)
−0.552240 + 0.833685i \(0.686227\pi\)
\(20\) 2.82636 3.46579i 0.631993 0.774974i
\(21\) 3.12154 + 4.11964i 0.681175 + 0.898979i
\(22\) 4.27416 + 1.48061i 0.911253 + 0.315667i
\(23\) 4.56852 + 1.48440i 0.952601 + 0.309519i 0.743772 0.668433i \(-0.233035\pi\)
0.208829 + 0.977952i \(0.433035\pi\)
\(24\) −4.06944 + 2.72757i −0.830671 + 0.556764i
\(25\) −1.38083 4.80555i −0.276167 0.961110i
\(26\) 1.50953 + 4.97051i 0.296044 + 0.974798i
\(27\) −4.83606 + 1.90067i −0.930699 + 0.365785i
\(28\) −5.96384 0.230477i −1.12706 0.0435560i
\(29\) 3.22418 4.43770i 0.598715 0.824060i −0.396875 0.917873i \(-0.629905\pi\)
0.995590 + 0.0938122i \(0.0299053\pi\)
\(30\) −0.0897429 + 5.47649i −0.0163847 + 0.999866i
\(31\) −2.59765 3.57536i −0.466552 0.642154i 0.509299 0.860590i \(-0.329905\pi\)
−0.975851 + 0.218435i \(0.929905\pi\)
\(32\) 0.545412 5.63050i 0.0964161 0.995341i
\(33\) −5.23331 + 1.81751i −0.911003 + 0.316389i
\(34\) −4.35262 6.24086i −0.746468 1.07030i
\(35\) −4.01430 + 5.33021i −0.678540 + 0.900969i
\(36\) 1.84506 5.70927i 0.307509 0.951545i
\(37\) −6.75575 + 2.19508i −1.11064 + 0.360868i −0.806188 0.591660i \(-0.798473\pi\)
−0.304451 + 0.952528i \(0.598473\pi\)
\(38\) 3.53797 2.46752i 0.573934 0.400284i
\(39\) −5.22123 3.63535i −0.836066 0.582121i
\(40\) −4.82326 4.09099i −0.762624 0.646842i
\(41\) 2.93562 0.953840i 0.458466 0.148965i −0.0706732 0.997500i \(-0.522515\pi\)
0.529140 + 0.848535i \(0.322515\pi\)
\(42\) 5.91022 4.30118i 0.911966 0.663687i
\(43\) 9.03650 1.37805 0.689027 0.724736i \(-0.258038\pi\)
0.689027 + 0.724736i \(0.258038\pi\)
\(44\) 2.21024 6.00301i 0.333206 0.904987i
\(45\) −4.06693 5.33480i −0.606262 0.795265i
\(46\) 2.22364 6.41911i 0.327858 0.946446i
\(47\) −2.83752 + 3.90551i −0.413895 + 0.569678i −0.964163 0.265310i \(-0.914526\pi\)
0.550268 + 0.834988i \(0.314526\pi\)
\(48\) 3.74551 + 5.82848i 0.540618 + 0.841268i
\(49\) 1.90514 0.272162
\(50\) −6.83252 + 1.82118i −0.966264 + 0.257554i
\(51\) 8.91883 + 2.70091i 1.24889 + 0.378203i
\(52\) 7.06928 1.99866i 0.980333 0.277164i
\(53\) −5.43840 3.95123i −0.747022 0.542743i 0.147881 0.989005i \(-0.452755\pi\)
−0.894902 + 0.446262i \(0.852755\pi\)
\(54\) 2.55538 + 6.88985i 0.347743 + 0.937590i
\(55\) −4.10385 5.85747i −0.553363 0.789821i
\(56\) −0.488763 + 8.42628i −0.0653137 + 1.12601i
\(57\) −1.53116 + 5.05612i −0.202807 + 0.669699i
\(58\) −6.18663 4.68003i −0.812344 0.614518i
\(59\) −1.32864 4.08914i −0.172974 0.532360i 0.826561 0.562847i \(-0.190294\pi\)
−0.999535 + 0.0304872i \(0.990294\pi\)
\(60\) 7.74103 + 0.276462i 0.999363 + 0.0356911i
\(61\) 3.92726 12.0869i 0.502834 1.54756i −0.301548 0.953451i \(-0.597503\pi\)
0.804382 0.594112i \(-0.202497\pi\)
\(62\) −5.12633 + 3.57530i −0.651045 + 0.454064i
\(63\) −2.42194 + 8.61861i −0.305136 + 1.08584i
\(64\) −7.94635 0.924961i −0.993294 0.115620i
\(65\) 2.67192 7.76676i 0.331411 0.963348i
\(66\) 2.42695 + 7.44928i 0.298736 + 0.916943i
\(67\) −10.6796 + 7.75919i −1.30472 + 0.947936i −0.999990 0.00450258i \(-0.998567\pi\)
−0.304732 + 0.952438i \(0.598567\pi\)
\(68\) −8.94314 + 5.98394i −1.08451 + 0.725659i
\(69\) 2.72962 + 7.85961i 0.328608 + 0.946186i
\(70\) 7.42701 + 5.82159i 0.887697 + 0.695813i
\(71\) 0.297957 + 0.216478i 0.0353610 + 0.0256912i 0.605325 0.795978i \(-0.293043\pi\)
−0.569964 + 0.821669i \(0.693043\pi\)
\(72\) −8.02223 2.76474i −0.945429 0.325828i
\(73\) 6.69237 + 2.17448i 0.783283 + 0.254504i 0.673241 0.739423i \(-0.264902\pi\)
0.110042 + 0.993927i \(0.464902\pi\)
\(74\) 2.91922 + 9.61224i 0.339352 + 1.11740i
\(75\) 5.18969 6.93305i 0.599254 0.800559i
\(76\) −3.39232 5.06990i −0.389125 0.581557i
\(77\) −2.94949 + 9.07760i −0.336126 + 1.03449i
\(78\) −5.28280 + 7.28328i −0.598159 + 0.824669i
\(79\) 8.73021 12.0161i 0.982226 1.35192i 0.0466037 0.998913i \(-0.485160\pi\)
0.935622 0.353004i \(-0.114840\pi\)
\(80\) −5.91618 + 6.70812i −0.661449 + 0.749990i
\(81\) −7.68260 4.68803i −0.853622 0.520892i
\(82\) −1.26851 4.17687i −0.140083 0.461258i
\(83\) 2.22205 + 3.05839i 0.243902 + 0.335702i 0.913364 0.407144i \(-0.133475\pi\)
−0.669462 + 0.742846i \(0.733475\pi\)
\(84\) −5.92024 8.47422i −0.645951 0.924613i
\(85\) −0.206649 + 12.0288i −0.0224142 + 1.30470i
\(86\) 0.246799 12.7772i 0.0266130 1.37780i
\(87\) 9.49890 0.191007i 1.01839 0.0204781i
\(88\) −8.42758 3.28912i −0.898384 0.350621i
\(89\) 10.2283 + 3.32337i 1.08420 + 0.352277i 0.796001 0.605295i \(-0.206945\pi\)
0.288195 + 0.957572i \(0.406945\pi\)
\(90\) −7.65421 + 5.60473i −0.806825 + 0.590791i
\(91\) −10.4249 + 3.38724i −1.09282 + 0.355080i
\(92\) −9.01557 3.31943i −0.939938 0.346075i
\(93\) 2.21857 7.32605i 0.230055 0.759676i
\(94\) 5.44470 + 4.11878i 0.561578 + 0.424819i
\(95\) −6.81915 0.117150i −0.699630 0.0120193i
\(96\) 8.34347 5.13678i 0.851552 0.524270i
\(97\) 0.944770 1.30036i 0.0959268 0.132032i −0.758356 0.651841i \(-0.773997\pi\)
0.854282 + 0.519809i \(0.173997\pi\)
\(98\) 0.0520318 2.69377i 0.00525600 0.272111i
\(99\) −7.98334 5.32344i −0.802356 0.535026i
\(100\) 2.38846 + 9.71058i 0.238846 + 0.971058i
\(101\) 9.32896i 0.928267i 0.885765 + 0.464133i \(0.153634\pi\)
−0.885765 + 0.464133i \(0.846366\pi\)
\(102\) 4.06254 12.5370i 0.402251 1.24135i
\(103\) 0.854168 + 0.620590i 0.0841637 + 0.0611485i 0.629071 0.777348i \(-0.283435\pi\)
−0.544908 + 0.838496i \(0.683435\pi\)
\(104\) −2.63293 10.0502i −0.258180 0.985503i
\(105\) −11.5575 + 0.0338377i −1.12790 + 0.00330222i
\(106\) −5.73537 + 7.58171i −0.557068 + 0.736401i
\(107\) 6.91538i 0.668535i −0.942478 0.334267i \(-0.891511\pi\)
0.942478 0.334267i \(-0.108489\pi\)
\(108\) 9.81169 3.42501i 0.944131 0.329571i
\(109\) −3.37536 10.3883i −0.323301 0.995018i −0.972202 0.234145i \(-0.924771\pi\)
0.648901 0.760873i \(-0.275229\pi\)
\(110\) −8.39425 + 5.64266i −0.800360 + 0.538007i
\(111\) −10.0971 7.03023i −0.958374 0.667280i
\(112\) 11.9010 + 0.921219i 1.12454 + 0.0870470i
\(113\) 1.70589 + 5.25018i 0.160476 + 0.493895i 0.998675 0.0514704i \(-0.0163908\pi\)
−0.838198 + 0.545366i \(0.816391\pi\)
\(114\) 7.10728 + 2.30307i 0.665657 + 0.215702i
\(115\) −8.79700 + 6.16334i −0.820324 + 0.574734i
\(116\) −6.78629 + 8.61977i −0.630091 + 0.800325i
\(117\) −0.442991 11.0107i −0.0409546 1.01794i
\(118\) −5.81812 + 1.76695i −0.535601 + 0.162661i
\(119\) 12.9891 9.43711i 1.19071 0.865099i
\(120\) 0.602321 10.9379i 0.0549842 0.998487i
\(121\) 0.622694 + 0.452414i 0.0566086 + 0.0411285i
\(122\) −16.9830 5.88305i −1.53756 0.532627i
\(123\) 4.38756 + 3.05489i 0.395613 + 0.275450i
\(124\) 4.91529 + 7.34602i 0.441407 + 0.659692i
\(125\) 10.4411 + 3.99805i 0.933876 + 0.357596i
\(126\) 12.1201 + 3.65989i 1.07975 + 0.326049i
\(127\) −1.65051 + 5.07974i −0.146459 + 0.450754i −0.997196 0.0748379i \(-0.976156\pi\)
0.850737 + 0.525592i \(0.176156\pi\)
\(128\) −1.52487 + 11.2105i −0.134781 + 0.990875i
\(129\) 9.45254 + 12.4750i 0.832250 + 1.09836i
\(130\) −10.9088 3.99008i −0.956768 0.349953i
\(131\) 7.00547 5.08977i 0.612071 0.444695i −0.238072 0.971247i \(-0.576515\pi\)
0.850143 + 0.526552i \(0.176515\pi\)
\(132\) 10.5992 3.22813i 0.922541 0.280973i
\(133\) 5.34993 + 7.36355i 0.463898 + 0.638501i
\(134\) 10.6794 + 15.3123i 0.922562 + 1.32278i
\(135\) 3.11056 11.1948i 0.267715 0.963498i
\(136\) 8.21674 + 12.8086i 0.704580 + 1.09833i
\(137\) 0.00989841 + 0.0304642i 0.000845678 + 0.00260273i 0.951478 0.307715i \(-0.0995644\pi\)
−0.950633 + 0.310318i \(0.899564\pi\)
\(138\) 11.1876 3.64489i 0.952356 0.310274i
\(139\) 17.9618 + 5.83614i 1.52350 + 0.495015i 0.946767 0.321919i \(-0.104328\pi\)
0.576731 + 0.816934i \(0.304328\pi\)
\(140\) 8.43428 10.3424i 0.712827 0.874094i
\(141\) −8.35975 + 0.168101i −0.704018 + 0.0141566i
\(142\) 0.314227 0.415384i 0.0263693 0.0348582i
\(143\) 11.7487i 0.982472i
\(144\) −4.12831 + 11.2675i −0.344026 + 0.938960i
\(145\) 3.58932 + 11.7286i 0.298077 + 0.974005i
\(146\) 3.25739 9.40329i 0.269583 0.778222i
\(147\) 1.99285 + 2.63005i 0.164367 + 0.216923i
\(148\) 13.6710 3.86511i 1.12375 0.317710i
\(149\) 15.0572i 1.23354i −0.787145 0.616769i \(-0.788441\pi\)
0.787145 0.616769i \(-0.211559\pi\)
\(150\) −9.66124 7.52731i −0.788837 0.614602i
\(151\) 2.23046i 0.181512i −0.995873 0.0907561i \(-0.971072\pi\)
0.995873 0.0907561i \(-0.0289284\pi\)
\(152\) −7.26123 + 4.65810i −0.588963 + 0.377822i
\(153\) 5.60081 + 15.1378i 0.452799 + 1.22382i
\(154\) 12.7547 + 4.41835i 1.02780 + 0.356041i
\(155\) 9.88061 + 0.169744i 0.793629 + 0.0136342i
\(156\) 10.1539 + 7.66853i 0.812963 + 0.613973i
\(157\) 3.80222i 0.303450i −0.988423 0.151725i \(-0.951517\pi\)
0.988423 0.151725i \(-0.0484829\pi\)
\(158\) −16.7517 12.6723i −1.33270 1.00815i
\(159\) −0.234079 11.6409i −0.0185637 0.923183i
\(160\) 9.32336 + 8.54839i 0.737076 + 0.675810i
\(161\) 13.6331 + 4.42967i 1.07444 + 0.349107i
\(162\) −6.83846 + 10.7348i −0.537280 + 0.843404i
\(163\) 1.92509 + 5.92481i 0.150785 + 0.464067i 0.997709 0.0676455i \(-0.0215487\pi\)
−0.846925 + 0.531713i \(0.821549\pi\)
\(164\) −5.94053 + 1.67953i −0.463877 + 0.131149i
\(165\) 3.79349 11.7925i 0.295323 0.918048i
\(166\) 4.38510 3.05834i 0.340350 0.237374i
\(167\) −8.65296 11.9098i −0.669586 0.921606i 0.330165 0.943923i \(-0.392896\pi\)
−0.999751 + 0.0223172i \(0.992896\pi\)
\(168\) −12.1438 + 8.13948i −0.936915 + 0.627975i
\(169\) 0.398314 0.289392i 0.0306395 0.0222609i
\(170\) 17.0024 + 0.620713i 1.30403 + 0.0476065i
\(171\) −8.58166 + 3.17512i −0.656256 + 0.242808i
\(172\) −18.0595 0.697922i −1.37703 0.0532161i
\(173\) 4.14754 12.7648i 0.315332 0.970491i −0.660286 0.751014i \(-0.729565\pi\)
0.975618 0.219477i \(-0.0704351\pi\)
\(174\) −0.0106468 13.4362i −0.000807132 1.01859i
\(175\) −4.12061 14.3405i −0.311489 1.08404i
\(176\) −4.88081 + 11.8264i −0.367905 + 0.891445i
\(177\) 4.25527 6.11160i 0.319846 0.459376i
\(178\) 4.97843 14.3715i 0.373149 1.07719i
\(179\) 0.947981 + 0.688748i 0.0708554 + 0.0514795i 0.622649 0.782501i \(-0.286056\pi\)
−0.551794 + 0.833981i \(0.686056\pi\)
\(180\) 7.71577 + 10.9757i 0.575099 + 0.818084i
\(181\) −8.30095 + 6.03100i −0.617005 + 0.448280i −0.851874 0.523747i \(-0.824534\pi\)
0.234869 + 0.972027i \(0.424534\pi\)
\(182\) 4.50467 + 14.8327i 0.333909 + 1.09948i
\(183\) 20.7941 7.22172i 1.53714 0.533845i
\(184\) −4.93974 + 12.6569i −0.364162 + 0.933080i
\(185\) 5.16710 15.0198i 0.379892 1.10428i
\(186\) −10.2981 3.33703i −0.755092 0.244683i
\(187\) 5.31774 + 16.3663i 0.388872 + 1.19682i
\(188\) 5.97245 7.58605i 0.435585 0.553269i
\(189\) −14.4315 + 5.67189i −1.04974 + 0.412570i
\(190\) −0.351884 + 9.63874i −0.0255284 + 0.699268i
\(191\) 5.48680 + 16.8866i 0.397011 + 1.22187i 0.927384 + 0.374110i \(0.122052\pi\)
−0.530373 + 0.847764i \(0.677948\pi\)
\(192\) −7.03528 11.9375i −0.507727 0.861518i
\(193\) 5.17895i 0.372789i 0.982475 + 0.186394i \(0.0596802\pi\)
−0.982475 + 0.186394i \(0.940320\pi\)
\(194\) −1.81285 1.37137i −0.130155 0.0984588i
\(195\) 13.5170 4.43574i 0.967973 0.317650i
\(196\) −3.80743 0.147141i −0.271959 0.0105100i
\(197\) −9.10943 6.61839i −0.649020 0.471541i 0.213917 0.976852i \(-0.431378\pi\)
−0.862937 + 0.505311i \(0.831378\pi\)
\(198\) −7.74511 + 11.1427i −0.550421 + 0.791874i
\(199\) 21.8713i 1.55042i −0.631706 0.775208i \(-0.717645\pi\)
0.631706 0.775208i \(-0.282355\pi\)
\(200\) 13.7955 3.11195i 0.975489 0.220048i
\(201\) −21.8829 6.62686i −1.54350 0.467423i
\(202\) 13.1907 + 0.254786i 0.928093 + 0.0179267i
\(203\) 9.62142 13.2428i 0.675292 0.929459i
\(204\) −17.6157 6.08663i −1.23335 0.426149i
\(205\) −2.24529 + 6.52664i −0.156818 + 0.455840i
\(206\) 0.900811 1.19080i 0.0627625 0.0829671i
\(207\) −7.99497 + 11.9897i −0.555688 + 0.833344i
\(208\) −14.2824 + 3.44834i −0.990305 + 0.239100i
\(209\) −9.27812 + 3.01465i −0.641781 + 0.208527i
\(210\) −0.267806 + 16.3427i −0.0184804 + 1.12775i
\(211\) 1.78027 + 0.578445i 0.122559 + 0.0398218i 0.369654 0.929169i \(-0.379476\pi\)
−0.247095 + 0.968991i \(0.579476\pi\)
\(212\) 10.5635 + 8.31659i 0.725505 + 0.571186i
\(213\) 0.0128246 + 0.637776i 0.000878728 + 0.0436997i
\(214\) −9.77800 0.188868i −0.668410 0.0129108i
\(215\) −12.1560 + 16.1408i −0.829030 + 1.10079i
\(216\) −4.57482 13.9668i −0.311277 0.950319i
\(217\) −7.75178 10.6694i −0.526225 0.724287i
\(218\) −14.7807 + 4.48887i −1.00108 + 0.304025i
\(219\) 3.99859 + 11.5135i 0.270200 + 0.778008i
\(220\) 7.74918 + 12.0232i 0.522450 + 0.810601i
\(221\) −11.6162 + 15.9883i −0.781388 + 1.07549i
\(222\) −10.2162 + 14.0848i −0.685663 + 0.945309i
\(223\) −0.737230 + 2.26896i −0.0493686 + 0.151941i −0.972702 0.232059i \(-0.925454\pi\)
0.923333 + 0.384000i \(0.125454\pi\)
\(224\) 1.62759 16.8022i 0.108748 1.12265i
\(225\) 14.9997 0.0878323i 0.999983 0.00585548i
\(226\) 7.47008 2.26865i 0.496902 0.150908i
\(227\) 19.9115 + 6.46965i 1.32158 + 0.429406i 0.883036 0.469306i \(-0.155496\pi\)
0.438540 + 0.898712i \(0.355496\pi\)
\(228\) 3.45053 9.98643i 0.228517 0.661368i
\(229\) 0.356768 + 0.259207i 0.0235759 + 0.0171289i 0.599511 0.800367i \(-0.295362\pi\)
−0.575935 + 0.817496i \(0.695362\pi\)
\(230\) 8.47439 + 12.6068i 0.558785 + 0.831271i
\(231\) −15.6170 + 5.42373i −1.02752 + 0.356855i
\(232\) 12.0026 + 9.83089i 0.788008 + 0.645429i
\(233\) −14.2912 + 10.3832i −0.936247 + 0.680223i −0.947514 0.319713i \(-0.896413\pi\)
0.0112673 + 0.999937i \(0.496413\pi\)
\(234\) −15.5806 + 0.325652i −1.01854 + 0.0212885i
\(235\) −3.15887 10.3220i −0.206062 0.673335i
\(236\) 2.33948 + 8.27479i 0.152287 + 0.538643i
\(237\) 25.7205 0.517196i 1.67072 0.0335955i
\(238\) −12.9889 18.6236i −0.841943 1.20719i
\(239\) −7.50836 + 23.1084i −0.485675 + 1.49476i 0.345325 + 0.938483i \(0.387769\pi\)
−0.831000 + 0.556272i \(0.812231\pi\)
\(240\) −15.4492 1.15038i −0.997239 0.0742567i
\(241\) −4.03216 12.4097i −0.259735 0.799381i −0.992860 0.119287i \(-0.961939\pi\)
0.733125 0.680094i \(-0.238061\pi\)
\(242\) 0.656697 0.868102i 0.0422141 0.0558037i
\(243\) −1.56444 15.5098i −0.100359 0.994951i
\(244\) −8.78217 + 23.8524i −0.562221 + 1.52699i
\(245\) −2.56280 + 3.40290i −0.163731 + 0.217404i
\(246\) 4.43929 6.12035i 0.283039 0.390219i
\(247\) −9.06381 6.58524i −0.576717 0.419009i
\(248\) 10.5211 6.74935i 0.668094 0.428584i
\(249\) −1.89778 + 6.26676i −0.120267 + 0.397140i
\(250\) 5.93820 14.6539i 0.375565 0.926796i
\(251\) −25.1746 −1.58901 −0.794503 0.607260i \(-0.792269\pi\)
−0.794503 + 0.607260i \(0.792269\pi\)
\(252\) 5.50592 17.0373i 0.346840 1.07325i
\(253\) −9.03092 + 12.4300i −0.567769 + 0.781467i
\(254\) 7.13742 + 2.47247i 0.447841 + 0.155136i
\(255\) −16.8220 + 12.2973i −1.05343 + 0.770086i
\(256\) 15.8094 + 2.46227i 0.988088 + 0.153892i
\(257\) −7.72690 −0.481991 −0.240995 0.970526i \(-0.577474\pi\)
−0.240995 + 0.970526i \(0.577474\pi\)
\(258\) 17.8971 13.0247i 1.11423 0.810883i
\(259\) −20.1602 + 6.55043i −1.25269 + 0.407024i
\(260\) −5.93970 + 15.3156i −0.368365 + 0.949831i
\(261\) 10.1999 + 12.9135i 0.631359 + 0.799326i
\(262\) −7.00535 10.0444i −0.432792 0.620545i
\(263\) −30.8101 + 10.0108i −1.89983 + 0.617293i −0.934783 + 0.355219i \(0.884406\pi\)
−0.965048 + 0.262074i \(0.915594\pi\)
\(264\) −4.27494 15.0749i −0.263104 0.927795i
\(265\) 14.3734 4.39871i 0.882948 0.270210i
\(266\) 10.5578 7.36343i 0.647341 0.451481i
\(267\) 6.11125 + 17.5966i 0.374002 + 1.07689i
\(268\) 21.9426 14.6820i 1.34035 0.896844i
\(269\) −3.12100 4.29569i −0.190291 0.261913i 0.703202 0.710990i \(-0.251753\pi\)
−0.893493 + 0.449077i \(0.851753\pi\)
\(270\) −15.7440 4.70393i −0.958148 0.286272i
\(271\) −7.62188 + 10.4906i −0.462996 + 0.637260i −0.975127 0.221648i \(-0.928856\pi\)
0.512130 + 0.858908i \(0.328856\pi\)
\(272\) 18.3351 11.2682i 1.11173 0.683237i
\(273\) −15.5809 10.8484i −0.943001 0.656576i
\(274\) 0.0433451 0.0131638i 0.00261858 0.000795256i
\(275\) 15.9830 + 0.549323i 0.963811 + 0.0331254i
\(276\) −4.84814 15.9183i −0.291824 0.958170i
\(277\) 9.22361 + 2.99693i 0.554193 + 0.180068i 0.572707 0.819760i \(-0.305893\pi\)
−0.0185137 + 0.999829i \(0.505893\pi\)
\(278\) 8.74256 25.2377i 0.524344 1.51365i
\(279\) 12.4344 4.60059i 0.744427 0.275430i
\(280\) −14.3933 12.2081i −0.860165 0.729574i
\(281\) −15.5308 21.3764i −0.926492 1.27521i −0.961212 0.275810i \(-0.911054\pi\)
0.0347196 0.999397i \(-0.488946\pi\)
\(282\) 0.00936999 + 11.8249i 0.000557975 + 0.704160i
\(283\) −13.6277 + 9.90113i −0.810085 + 0.588561i −0.913855 0.406040i \(-0.866909\pi\)
0.103771 + 0.994601i \(0.466909\pi\)
\(284\) −0.578750 0.455646i −0.0343425 0.0270376i
\(285\) −6.97138 9.53644i −0.412949 0.564890i
\(286\) −16.6120 0.320871i −0.982288 0.0189735i
\(287\) 8.76032 2.84640i 0.517105 0.168018i
\(288\) 15.8190 + 6.14495i 0.932141 + 0.362095i
\(289\) 3.69176 11.3621i 0.217163 0.668358i
\(290\) 16.6816 4.75479i 0.979580 0.279211i
\(291\) 2.78343 0.0559701i 0.163168 0.00328103i
\(292\) −13.2068 4.86260i −0.772870 0.284562i
\(293\) 22.0891 1.29046 0.645230 0.763988i \(-0.276762\pi\)
0.645230 + 0.763988i \(0.276762\pi\)
\(294\) 3.77319 2.74596i 0.220057 0.160147i
\(295\) 9.09120 + 3.12755i 0.529310 + 0.182093i
\(296\) −5.09169 19.4356i −0.295949 1.12967i
\(297\) −1.00185 16.5896i −0.0581331 0.962626i
\(298\) −21.2902 0.411233i −1.23331 0.0238221i
\(299\) −17.6446 −1.02042
\(300\) −10.9071 + 13.4549i −0.629722 + 0.776821i
\(301\) 26.9663 1.55431
\(302\) −3.15376 0.0609168i −0.181478 0.00350537i
\(303\) −12.8787 + 9.75846i −0.739862 + 0.560609i
\(304\) 6.38801 + 10.3942i 0.366377 + 0.596150i
\(305\) 16.3063 + 23.2741i 0.933693 + 1.33267i
\(306\) 21.5570 7.50584i 1.23233 0.429080i
\(307\) 22.4922 1.28370 0.641848 0.766832i \(-0.278168\pi\)
0.641848 + 0.766832i \(0.278168\pi\)
\(308\) 6.59568 17.9139i 0.375824 1.02074i
\(309\) 0.0367650 + 1.82835i 0.00209149 + 0.104011i
\(310\) 0.509862 13.9660i 0.0289582 0.793218i
\(311\) −0.349880 + 1.07682i −0.0198399 + 0.0610609i −0.960486 0.278327i \(-0.910220\pi\)
0.940646 + 0.339388i \(0.110220\pi\)
\(312\) 11.1202 14.1477i 0.629559 0.800954i
\(313\) 17.9784 5.84155i 1.01620 0.330184i 0.246880 0.969046i \(-0.420595\pi\)
0.769321 + 0.638862i \(0.220595\pi\)
\(314\) −5.37615 0.103844i −0.303394 0.00586024i
\(315\) −12.1363 15.9198i −0.683804 0.896981i
\(316\) −18.3754 + 23.3400i −1.03370 + 1.31298i
\(317\) −9.20189 + 6.68556i −0.516830 + 0.375499i −0.815408 0.578886i \(-0.803487\pi\)
0.298579 + 0.954385i \(0.403487\pi\)
\(318\) −16.4660 + 0.0130476i −0.923369 + 0.000731676i
\(319\) 10.3125 + 14.1939i 0.577389 + 0.794707i
\(320\) 12.3416 12.9493i 0.689918 0.723888i
\(321\) 9.54673 7.23376i 0.532847 0.403749i
\(322\) 6.63567 19.1556i 0.369791 1.06750i
\(323\) 15.6069 + 5.07098i 0.868390 + 0.282157i
\(324\) 14.9917 + 9.96243i 0.832870 + 0.553468i
\(325\) 10.2785 + 15.2204i 0.570149 + 0.844277i
\(326\) 8.42996 2.56016i 0.466893 0.141794i
\(327\) 10.8104 15.5263i 0.597814 0.858605i
\(328\) 2.21253 + 8.44547i 0.122166 + 0.466323i
\(329\) −8.46758 + 11.6546i −0.466833 + 0.642540i
\(330\) −16.5705 5.68588i −0.912174 0.312997i
\(331\) 4.63604 + 6.38097i 0.254820 + 0.350730i 0.917192 0.398445i \(-0.130450\pi\)
−0.662372 + 0.749175i \(0.730450\pi\)
\(332\) −4.20458 6.28384i −0.230756 0.344871i
\(333\) −0.856680 21.2930i −0.0469458 1.16685i
\(334\) −17.0761 + 11.9096i −0.934365 + 0.651663i
\(335\) 0.507026 29.5133i 0.0277018 1.61249i
\(336\) 11.1772 + 17.3930i 0.609764 + 0.948868i
\(337\) −32.5632 + 10.5804i −1.77383 + 0.576352i −0.998477 0.0551758i \(-0.982428\pi\)
−0.775353 + 0.631528i \(0.782428\pi\)
\(338\) −0.398307 0.571099i −0.0216650 0.0310637i
\(339\) −5.46349 + 7.84688i −0.296736 + 0.426184i
\(340\) 1.34202 24.0236i 0.0727810 1.30286i
\(341\) 13.4435 4.36807i 0.728008 0.236544i
\(342\) 4.25509 + 12.2207i 0.230089 + 0.660822i
\(343\) −15.2038 −0.820929
\(344\) −1.48006 + 25.5162i −0.0797993 + 1.37574i
\(345\) −17.7105 5.69723i −0.953504 0.306729i
\(346\) −17.9355 6.21304i −0.964221 0.334015i
\(347\) −16.0694 + 22.1176i −0.862649 + 1.18733i 0.118282 + 0.992980i \(0.462261\pi\)
−0.980931 + 0.194355i \(0.937739\pi\)
\(348\) −18.9984 0.351906i −1.01842 0.0188641i
\(349\) −1.86615 −0.0998927 −0.0499463 0.998752i \(-0.515905\pi\)
−0.0499463 + 0.998752i \(0.515905\pi\)
\(350\) −20.3892 + 5.43468i −1.08985 + 0.290496i
\(351\) 14.7369 12.1291i 0.786599 0.647406i
\(352\) 16.5886 + 7.22422i 0.884174 + 0.385052i
\(353\) −18.5851 13.5029i −0.989186 0.718686i −0.0294433 0.999566i \(-0.509373\pi\)
−0.959743 + 0.280881i \(0.909373\pi\)
\(354\) −8.52527 6.18366i −0.453113 0.328658i
\(355\) −0.787481 + 0.240994i −0.0417952 + 0.0127907i
\(356\) −20.1846 7.43175i −1.06978 0.393882i
\(357\) 26.6151 + 8.05992i 1.40862 + 0.426576i
\(358\) 0.999746 1.32159i 0.0528382 0.0698480i
\(359\) 1.62712 + 5.00777i 0.0858763 + 0.264300i 0.984769 0.173869i \(-0.0556270\pi\)
−0.898892 + 0.438169i \(0.855627\pi\)
\(360\) 15.7299 10.6099i 0.829037 0.559193i
\(361\) 2.99656 9.22248i 0.157714 0.485393i
\(362\) 8.30081 + 11.9018i 0.436281 + 0.625547i
\(363\) 0.0268019 + 1.33288i 0.00140674 + 0.0699579i
\(364\) 21.0958 5.96428i 1.10572 0.312613i
\(365\) −12.8866 + 9.02861i −0.674517 + 0.472579i
\(366\) −9.64324 29.5990i −0.504060 1.54716i
\(367\) −1.30955 + 0.951446i −0.0683581 + 0.0496651i −0.621440 0.783462i \(-0.713452\pi\)
0.553081 + 0.833127i \(0.313452\pi\)
\(368\) 17.7613 + 7.33021i 0.925873 + 0.382114i
\(369\) 0.372259 + 9.25259i 0.0193790 + 0.481671i
\(370\) −21.0961 7.71622i −1.09673 0.401147i
\(371\) −16.2290 11.7910i −0.842567 0.612161i
\(372\) −4.99965 + 14.4698i −0.259220 + 0.750226i
\(373\) 1.11814 + 0.363305i 0.0578950 + 0.0188112i 0.337821 0.941210i \(-0.390310\pi\)
−0.279926 + 0.960021i \(0.590310\pi\)
\(374\) 23.2864 7.07203i 1.20411 0.365686i
\(375\) 5.40242 + 18.5961i 0.278980 + 0.960297i
\(376\) −10.5632 8.65193i −0.544754 0.446189i
\(377\) −6.22625 + 19.1624i −0.320668 + 0.986915i
\(378\) 7.62563 + 20.5603i 0.392220 + 1.05751i
\(379\) 7.79303 10.7262i 0.400301 0.550967i −0.560518 0.828142i \(-0.689398\pi\)
0.960820 + 0.277175i \(0.0893981\pi\)
\(380\) 13.6191 + 0.760793i 0.698644 + 0.0390279i
\(381\) −8.73911 + 3.03507i −0.447718 + 0.155491i
\(382\) 24.0267 7.29687i 1.22931 0.373340i
\(383\) 0.734824 + 1.01140i 0.0375478 + 0.0516801i 0.827378 0.561645i \(-0.189831\pi\)
−0.789830 + 0.613325i \(0.789831\pi\)
\(384\) −17.0712 + 9.62150i −0.871162 + 0.490995i
\(385\) −12.2465 17.4796i −0.624139 0.890841i
\(386\) 7.32277 + 0.141444i 0.372719 + 0.00719930i
\(387\) −7.33405 + 26.0986i −0.372811 + 1.32667i
\(388\) −1.98856 + 2.52582i −0.100954 + 0.128229i
\(389\) −18.1820 5.90770i −0.921866 0.299533i −0.190634 0.981661i \(-0.561054\pi\)
−0.731232 + 0.682129i \(0.761054\pi\)
\(390\) −5.90274 19.2335i −0.298897 0.973927i
\(391\) 24.5796 7.98641i 1.24305 0.403890i
\(392\) −0.312035 + 5.37950i −0.0157602 + 0.271706i
\(393\) 14.3545 + 4.34700i 0.724087 + 0.219277i
\(394\) −9.60686 + 12.6995i −0.483987 + 0.639793i
\(395\) 9.71891 + 31.7578i 0.489011 + 1.59791i
\(396\) 15.5436 + 11.2555i 0.781097 + 0.565611i
\(397\) −16.1062 + 22.1683i −0.808346 + 1.11259i 0.183230 + 0.983070i \(0.441345\pi\)
−0.991576 + 0.129523i \(0.958655\pi\)
\(398\) −30.9249 0.597334i −1.55013 0.0299417i
\(399\) −4.56920 + 15.0882i −0.228746 + 0.755354i
\(400\) −4.02337 19.5911i −0.201169 0.979557i
\(401\) 1.15220i 0.0575379i 0.999586 + 0.0287690i \(0.00915871\pi\)
−0.999586 + 0.0287690i \(0.990841\pi\)
\(402\) −9.96770 + 30.7603i −0.497144 + 1.53419i
\(403\) 13.1330 + 9.54168i 0.654201 + 0.475305i
\(404\) 0.720510 18.6440i 0.0358467 0.927574i
\(405\) 18.7083 7.41609i 0.929624 0.368508i
\(406\) −18.4618 13.9659i −0.916245 0.693115i
\(407\) 22.7202i 1.12620i
\(408\) −9.08730 + 24.7415i −0.449888 + 1.22489i
\(409\) −10.4124 32.0460i −0.514860 1.58458i −0.783537 0.621345i \(-0.786587\pi\)
0.268677 0.963230i \(-0.413413\pi\)
\(410\) 9.16702 + 3.35298i 0.452727 + 0.165592i
\(411\) −0.0317019 + 0.0455315i −0.00156374 + 0.00224591i
\(412\) −1.65913 1.30622i −0.0817396 0.0643530i
\(413\) −3.96486 12.2026i −0.195098 0.600450i
\(414\) 16.7345 + 11.6319i 0.822457 + 0.571678i
\(415\) −8.45195 0.145201i −0.414890 0.00712762i
\(416\) 4.48571 + 20.2887i 0.219930 + 0.994738i
\(417\) 10.7319 + 30.9012i 0.525543 + 1.51324i
\(418\) 4.00916 + 13.2011i 0.196094 + 0.645689i
\(419\) 10.2361 7.43697i 0.500067 0.363320i −0.308976 0.951070i \(-0.599986\pi\)
0.809042 + 0.587750i \(0.199986\pi\)
\(420\) 23.1004 + 0.825004i 1.12718 + 0.0402561i
\(421\) −0.246632 0.179189i −0.0120201 0.00873313i 0.581759 0.813361i \(-0.302365\pi\)
−0.593779 + 0.804628i \(0.702365\pi\)
\(422\) 0.866514 2.50141i 0.0421812 0.121767i
\(423\) −8.97669 11.3649i −0.436462 0.552578i
\(424\) 12.0477 14.7091i 0.585090 0.714339i
\(425\) −21.2075 16.5503i −1.02871 0.802808i
\(426\) 0.902134 0.000714849i 0.0437085 3.46345e-5i
\(427\) 11.7195 36.0690i 0.567147 1.74550i
\(428\) −0.534100 + 13.8204i −0.0258167 + 0.668036i
\(429\) 16.2191 12.2896i 0.783066 0.593345i
\(430\) 22.4902 + 17.6288i 1.08458 + 0.850134i
\(431\) −8.71898 + 6.33471i −0.419979 + 0.305132i −0.777629 0.628723i \(-0.783578\pi\)
0.357651 + 0.933855i \(0.383578\pi\)
\(432\) −19.8733 + 6.08711i −0.956153 + 0.292866i
\(433\) 14.7065 + 20.2418i 0.706749 + 0.972757i 0.999861 + 0.0166788i \(0.00530926\pi\)
−0.293112 + 0.956078i \(0.594691\pi\)
\(434\) −15.2977 + 10.6692i −0.734314 + 0.512140i
\(435\) −12.4368 + 17.2236i −0.596300 + 0.825810i
\(436\) 5.94336 + 21.0218i 0.284635 + 1.00676i
\(437\) 4.52752 + 13.9343i 0.216581 + 0.666567i
\(438\) 16.3887 5.33936i 0.783081 0.255125i
\(439\) −15.0223 4.88104i −0.716975 0.232959i −0.0722639 0.997386i \(-0.523022\pi\)
−0.644711 + 0.764426i \(0.723022\pi\)
\(440\) 17.2118 10.6286i 0.820540 0.506698i
\(441\) −1.54621 + 5.50228i −0.0736292 + 0.262013i
\(442\) 22.2894 + 16.8613i 1.06020 + 0.802012i
\(443\) 36.9325i 1.75472i −0.479835 0.877359i \(-0.659303\pi\)
0.479835 0.877359i \(-0.340697\pi\)
\(444\) 19.6362 + 14.8298i 0.931891 + 0.703791i
\(445\) −19.6953 + 13.7989i −0.933646 + 0.654129i
\(446\) 3.18806 + 1.10438i 0.150959 + 0.0522937i
\(447\) 20.7866 15.7505i 0.983174 0.744972i
\(448\) −23.7131 2.76022i −1.12034 0.130408i
\(449\) 0.911264i 0.0430052i −0.999769 0.0215026i \(-0.993155\pi\)
0.999769 0.0215026i \(-0.00684502\pi\)
\(450\) 0.285472 21.2113i 0.0134573 0.999909i
\(451\) 9.87274i 0.464889i
\(452\) −3.00374 10.6243i −0.141284 0.499724i
\(453\) 3.07917 2.33315i 0.144672 0.109621i
\(454\) 9.69158 27.9772i 0.454848 1.31304i
\(455\) 7.97340 23.1772i 0.373799 1.08656i
\(456\) −14.0261 5.15162i −0.656831 0.241247i
\(457\) 4.46903i 0.209052i 0.994522 + 0.104526i \(0.0333326\pi\)
−0.994522 + 0.104526i \(0.966667\pi\)
\(458\) 0.376250 0.497373i 0.0175810 0.0232407i
\(459\) −15.0391 + 23.5667i −0.701967 + 1.10000i
\(460\) 18.0569 11.6381i 0.841907 0.542627i
\(461\) −13.5008 4.38667i −0.628794 0.204308i −0.0227533 0.999741i \(-0.507243\pi\)
−0.606041 + 0.795434i \(0.707243\pi\)
\(462\) 7.24236 + 22.2298i 0.336945 + 1.03422i
\(463\) 4.14119 + 12.7453i 0.192457 + 0.592323i 0.999997 + 0.00250947i \(0.000798790\pi\)
−0.807539 + 0.589814i \(0.799201\pi\)
\(464\) 14.2282 16.7025i 0.660527 0.775396i
\(465\) 10.1012 + 13.8178i 0.468431 + 0.640786i
\(466\) 14.2910 + 20.4906i 0.662016 + 0.949209i
\(467\) 9.20556 + 12.6704i 0.425982 + 0.586314i 0.967025 0.254681i \(-0.0819703\pi\)
−0.541043 + 0.840995i \(0.681970\pi\)
\(468\) 0.0349275 + 22.0391i 0.00161453 + 1.01876i
\(469\) −31.8695 + 23.1546i −1.47160 + 1.06918i
\(470\) −14.6811 + 4.18458i −0.677189 + 0.193020i
\(471\) 5.24900 3.97727i 0.241861 0.183263i
\(472\) 11.7640 3.08191i 0.541483 0.141857i
\(473\) −8.93156 + 27.4885i −0.410673 + 1.26392i
\(474\) −0.0288287 36.3816i −0.00132415 1.67106i
\(475\) 9.38243 12.0226i 0.430495 0.551635i
\(476\) −26.6876 + 17.8570i −1.22323 + 0.818472i
\(477\) 15.8255 12.5000i 0.724599 0.572335i
\(478\) 32.4690 + 11.2476i 1.48510 + 0.514452i
\(479\) 17.8596 + 12.9758i 0.816027 + 0.592878i 0.915572 0.402155i \(-0.131739\pi\)
−0.0995446 + 0.995033i \(0.531739\pi\)
\(480\) −2.04852 + 21.8129i −0.0935016 + 0.995619i
\(481\) 21.1090 15.3366i 0.962489 0.699290i
\(482\) −17.6569 + 5.36235i −0.804248 + 0.244248i
\(483\) 8.14559 + 23.4542i 0.370637 + 1.06721i
\(484\) −1.20952 0.952246i −0.0549781 0.0432839i
\(485\) 1.05177 + 3.43678i 0.0477582 + 0.156056i
\(486\) −21.9727 + 1.78845i −0.996704 + 0.0811256i
\(487\) −9.91484 30.5147i −0.449284 1.38275i −0.877716 0.479180i \(-0.840934\pi\)
0.428432 0.903574i \(-0.359066\pi\)
\(488\) 33.4862 + 13.0690i 1.51585 + 0.591605i
\(489\) −6.16553 + 8.85519i −0.278815 + 0.400445i
\(490\) 4.74154 + 3.71661i 0.214201 + 0.167899i
\(491\) −6.08890 18.7397i −0.274788 0.845711i −0.989275 0.146062i \(-0.953340\pi\)
0.714487 0.699648i \(-0.246660\pi\)
\(492\) −8.53263 6.44409i −0.384680 0.290522i
\(493\) 29.5121i 1.32916i
\(494\) −9.55875 + 12.6359i −0.430068 + 0.568517i
\(495\) 20.2478 7.09851i 0.910073 0.319055i
\(496\) −9.25590 15.0607i −0.415602 0.676246i
\(497\) 0.889147 + 0.646003i 0.0398837 + 0.0289772i
\(498\) 8.80906 + 2.85452i 0.394743 + 0.127914i
\(499\) 29.1403i 1.30450i 0.758004 + 0.652250i \(0.226175\pi\)
−0.758004 + 0.652250i \(0.773825\pi\)
\(500\) −20.5577 8.79654i −0.919370 0.393393i
\(501\) 7.39020 24.4036i 0.330170 1.09027i
\(502\) −0.687552 + 35.5956i −0.0306869 + 1.58871i
\(503\) 7.88466 10.8523i 0.351560 0.483880i −0.596213 0.802826i \(-0.703329\pi\)
0.947773 + 0.318946i \(0.103329\pi\)
\(504\) −23.9395 8.25041i −1.06635 0.367502i
\(505\) −16.6632 12.5494i −0.741501 0.558441i
\(506\) 17.3287 + 13.1087i 0.770356 + 0.582755i
\(507\) 0.816159 + 0.247160i 0.0362469 + 0.0109768i
\(508\) 3.69088 10.0244i 0.163756 0.444762i
\(509\) 33.1163 10.7601i 1.46785 0.476934i 0.537394 0.843331i \(-0.319409\pi\)
0.930459 + 0.366397i \(0.119409\pi\)
\(510\) 16.9283 + 24.1213i 0.749598 + 1.06811i
\(511\) 19.9710 + 6.48898i 0.883466 + 0.287056i
\(512\) 3.91330 22.2865i 0.172945 0.984931i
\(513\) −13.3600 8.52574i −0.589860 0.376421i
\(514\) −0.211032 + 10.9254i −0.00930821 + 0.481901i
\(515\) −2.25751 + 0.690871i −0.0994780 + 0.0304434i
\(516\) −17.9275 25.6614i −0.789214 1.12968i
\(517\) −9.07577 12.4917i −0.399152 0.549385i
\(518\) 8.71138 + 28.6843i 0.382756 + 1.26032i
\(519\) 21.9604 7.62679i 0.963956 0.334779i
\(520\) 21.4932 + 8.81673i 0.942540 + 0.386639i
\(521\) −1.07923 + 1.48543i −0.0472818 + 0.0650778i −0.832003 0.554771i \(-0.812806\pi\)
0.784721 + 0.619849i \(0.212806\pi\)
\(522\) 18.5376 14.0695i 0.811369 0.615804i
\(523\) 6.32750 19.4740i 0.276682 0.851540i −0.712087 0.702091i \(-0.752250\pi\)
0.988769 0.149449i \(-0.0477500\pi\)
\(524\) −14.3936 + 9.63089i −0.628787 + 0.420728i
\(525\) 15.4868 20.6892i 0.675899 0.902952i
\(526\) 13.3133 + 43.8373i 0.580488 + 1.91140i
\(527\) −22.6136 7.34760i −0.985063 0.320066i
\(528\) −21.4319 + 5.63283i −0.932703 + 0.245137i
\(529\) 0.0605006 + 0.0439563i 0.00263046 + 0.00191114i
\(530\) −5.82699 20.4433i −0.253108 0.888002i
\(531\) 12.8883 0.518533i 0.559304 0.0225024i
\(532\) −10.1232 15.1293i −0.438895 0.655939i
\(533\) −9.17264 + 6.66432i −0.397311 + 0.288664i
\(534\) 25.0476 8.16041i 1.08392 0.353136i
\(535\) 12.3521 + 9.30262i 0.534026 + 0.402187i
\(536\) −20.1603 31.4266i −0.870792 1.35742i
\(537\) 0.0408029 + 2.02915i 0.00176077 + 0.0875644i
\(538\) −6.15914 + 4.29562i −0.265539 + 0.185197i
\(539\) −1.88301 + 5.79531i −0.0811070 + 0.249622i
\(540\) −7.08110 + 22.1327i −0.304722 + 0.952441i
\(541\) 8.96438 + 27.5895i 0.385409 + 1.18617i 0.936183 + 0.351513i \(0.114333\pi\)
−0.550774 + 0.834654i \(0.685667\pi\)
\(542\) 14.6250 + 11.0635i 0.628200 + 0.475217i
\(543\) −17.0090 5.15087i −0.729924 0.221045i
\(544\) −15.4320 26.2326i −0.661640 1.12472i
\(545\) 23.0959 + 7.94543i 0.989318 + 0.340345i
\(546\) −15.7646 + 21.7344i −0.674665 + 0.930145i
\(547\) −25.3748 18.4359i −1.08495 0.788261i −0.106410 0.994322i \(-0.533935\pi\)
−0.978539 + 0.206061i \(0.933935\pi\)
\(548\) −0.0174292 0.0616474i −0.000744538 0.00263344i
\(549\) 31.7211 + 21.1522i 1.35382 + 0.902752i
\(550\) 1.21323 22.5841i 0.0517324 0.962991i
\(551\) 16.7305 0.712745
\(552\) −22.6401 + 6.42028i −0.963627 + 0.273265i
\(553\) 26.0522 35.8578i 1.10785 1.52483i
\(554\) 4.48942 12.9599i 0.190737 0.550612i
\(555\) 26.1399 8.57806i 1.10958 0.364118i
\(556\) −35.4460 13.0508i −1.50325 0.553478i
\(557\) 2.82932 0.119882 0.0599410 0.998202i \(-0.480909\pi\)
0.0599410 + 0.998202i \(0.480909\pi\)
\(558\) −6.16540 17.7072i −0.261002 0.749607i
\(559\) −31.5682 + 10.2571i −1.33519 + 0.433831i
\(560\) −17.6548 + 20.0180i −0.746050 + 0.845915i
\(561\) −17.0313 + 24.4610i −0.719060 + 1.03274i
\(562\) −30.6493 + 21.3760i −1.29286 + 0.901693i
\(563\) −36.2818 + 11.7887i −1.52909 + 0.496833i −0.948342 0.317249i \(-0.897241\pi\)
−0.580751 + 0.814081i \(0.697241\pi\)
\(564\) 16.7200 + 0.309704i 0.704040 + 0.0130409i
\(565\) −11.6725 4.01557i −0.491066 0.168936i
\(566\) 13.6275 + 19.5393i 0.572807 + 0.821300i
\(567\) −22.9260 13.9898i −0.962802 0.587515i
\(568\) −0.660067 + 0.805879i −0.0276958 + 0.0338139i
\(569\) −4.52865 6.23316i −0.189851 0.261308i 0.703472 0.710723i \(-0.251632\pi\)
−0.893323 + 0.449416i \(0.851632\pi\)
\(570\) −13.6744 + 9.59672i −0.572759 + 0.401963i
\(571\) 10.2653 14.1289i 0.429588 0.591277i −0.538271 0.842772i \(-0.680922\pi\)
0.967859 + 0.251495i \(0.0809222\pi\)
\(572\) −0.907391 + 23.4798i −0.0379399 + 0.981739i
\(573\) −17.5727 + 25.2387i −0.734111 + 1.05436i
\(574\) −3.78541 12.4644i −0.158000 0.520253i
\(575\) 0.824997 24.0039i 0.0344048 1.00103i
\(576\) 9.12069 22.1994i 0.380029 0.924975i
\(577\) −1.52003 0.493887i −0.0632796 0.0205608i 0.277206 0.960810i \(-0.410592\pi\)
−0.340486 + 0.940250i \(0.610592\pi\)
\(578\) −15.9646 5.53028i −0.664039 0.230029i
\(579\) −7.14958 + 5.41738i −0.297126 + 0.225139i
\(580\) −6.26744 23.7169i −0.260241 0.984789i
\(581\) 6.63094 + 9.12670i 0.275098 + 0.378639i
\(582\) −0.00311979 3.93716i −0.000129320 0.163200i
\(583\) 17.3946 12.6379i 0.720412 0.523410i
\(584\) −7.23617 + 18.5410i −0.299435 + 0.767231i
\(585\) 20.2629 + 14.0204i 0.837767 + 0.579671i
\(586\) 0.603283 31.2329i 0.0249214 1.29022i
\(587\) −4.54692 + 1.47738i −0.187672 + 0.0609782i −0.401345 0.915927i \(-0.631457\pi\)
0.213673 + 0.976905i \(0.431457\pi\)
\(588\) −3.77959 5.41010i −0.155868 0.223109i
\(589\) 4.16538 12.8197i 0.171631 0.528227i
\(590\) 4.67049 12.7691i 0.192281 0.525695i
\(591\) −0.392087 19.4987i −0.0161283 0.802071i
\(592\) −27.6200 + 6.66859i −1.13518 + 0.274077i
\(593\) 4.84301 0.198878 0.0994392 0.995044i \(-0.468295\pi\)
0.0994392 + 0.995044i \(0.468295\pi\)
\(594\) −23.4842 + 0.963478i −0.963569 + 0.0395320i
\(595\) −0.616671 + 35.8956i −0.0252810 + 1.47158i
\(596\) −1.16293 + 30.0920i −0.0476353 + 1.23262i
\(597\) 30.1935 22.8782i 1.23574 0.936344i
\(598\) −0.481898 + 24.9486i −0.0197063 + 1.02022i
\(599\) −3.69697 −0.151054 −0.0755271 0.997144i \(-0.524064\pi\)
−0.0755271 + 0.997144i \(0.524064\pi\)
\(600\) 18.7267 + 15.7896i 0.764515 + 0.644606i
\(601\) 8.33312 0.339915 0.169958 0.985451i \(-0.445637\pi\)
0.169958 + 0.985451i \(0.445637\pi\)
\(602\) 0.736484 38.1289i 0.0300169 1.55402i
\(603\) −13.7420 37.1415i −0.559615 1.51252i
\(604\) −0.172267 + 4.45759i −0.00700943 + 0.181377i
\(605\) −1.64574 + 0.503650i −0.0669089 + 0.0204763i
\(606\) 13.4462 + 18.4764i 0.546216 + 0.750551i
\(607\) −0.0647541 −0.00262829 −0.00131414 0.999999i \(-0.500418\pi\)
−0.00131414 + 0.999999i \(0.500418\pi\)
\(608\) 14.8714 8.74844i 0.603114 0.354796i
\(609\) 28.3461 0.569993i 1.14864 0.0230973i
\(610\) 33.3537 22.4206i 1.35045 0.907783i
\(611\) 5.47957 16.8644i 0.221680 0.682260i
\(612\) −10.0241 30.6855i −0.405201 1.24039i
\(613\) 3.58160 1.16373i 0.144659 0.0470027i −0.235792 0.971803i \(-0.575769\pi\)
0.380452 + 0.924801i \(0.375769\pi\)
\(614\) 0.614291 31.8028i 0.0247908 1.28346i
\(615\) −11.3587 + 3.72748i −0.458028 + 0.150306i
\(616\) −25.1492 9.81521i −1.01329 0.395466i
\(617\) 13.9434 10.1305i 0.561341 0.407838i −0.270608 0.962689i \(-0.587225\pi\)
0.831949 + 0.554851i \(0.187225\pi\)
\(618\) 2.58620 0.00204930i 0.104032 8.24347e-5i
\(619\) −12.4938 17.1963i −0.502169 0.691177i 0.480405 0.877047i \(-0.340490\pi\)
−0.982574 + 0.185870i \(0.940490\pi\)
\(620\) −19.7334 1.10235i −0.792511 0.0442715i
\(621\) −24.9150 + 1.50462i −0.999803 + 0.0603782i
\(622\) 1.51301 + 0.524122i 0.0606664 + 0.0210154i
\(623\) 30.5227 + 9.91743i 1.22287 + 0.397333i
\(624\) −19.7004 16.1098i −0.788647 0.644910i
\(625\) −21.1866 + 13.2713i −0.847464 + 0.530853i
\(626\) −7.76864 25.5801i −0.310497 1.02239i
\(627\) −13.8670 9.65508i −0.553796 0.385587i
\(628\) −0.293660 + 7.59877i −0.0117183 + 0.303224i
\(629\) −22.4640 + 30.9190i −0.895696 + 1.23282i
\(630\) −22.8413 + 16.7254i −0.910019 + 0.666354i
\(631\) −4.22858 5.82015i −0.168337 0.231696i 0.716511 0.697576i \(-0.245738\pi\)
−0.884848 + 0.465880i \(0.845738\pi\)
\(632\) 32.4998 + 26.6194i 1.29277 + 1.05886i
\(633\) 1.06369 + 3.06275i 0.0422777 + 0.121733i
\(634\) 9.20174 + 13.1936i 0.365448 + 0.523985i
\(635\) −6.85302 9.78139i −0.271954 0.388163i
\(636\) −0.431260 + 23.2825i −0.0171006 + 0.923211i
\(637\) −6.65543 + 2.16248i −0.263698 + 0.0856805i
\(638\) 20.3511 14.1937i 0.805709 0.561933i
\(639\) −0.867040 + 0.684844i −0.0342996 + 0.0270920i
\(640\) −17.9726 17.8041i −0.710429 0.703769i
\(641\) 11.9017 3.86710i 0.470089 0.152741i −0.0643867 0.997925i \(-0.520509\pi\)
0.534476 + 0.845184i \(0.320509\pi\)
\(642\) −9.96744 13.6962i −0.393383 0.540545i
\(643\) −42.1401 −1.66184 −0.830921 0.556390i \(-0.812186\pi\)
−0.830921 + 0.556390i \(0.812186\pi\)
\(644\) −26.9038 9.90567i −1.06016 0.390338i
\(645\) −34.9981 + 0.102466i −1.37805 + 0.00403460i
\(646\) 7.59636 21.9289i 0.298875 0.862779i
\(647\) 11.0652 15.2299i 0.435016 0.598749i −0.534079 0.845434i \(-0.679342\pi\)
0.969095 + 0.246686i \(0.0793416\pi\)
\(648\) 14.4958 20.9254i 0.569449 0.822026i
\(649\) 13.7521 0.539818
\(650\) 21.8016 14.1176i 0.855130 0.553738i
\(651\) 6.62054 21.8620i 0.259479 0.856840i
\(652\) −3.38971 11.9895i −0.132751 0.469544i
\(653\) 18.1201 + 13.1650i 0.709095 + 0.515187i 0.882881 0.469596i \(-0.155600\pi\)
−0.173787 + 0.984783i \(0.555600\pi\)
\(654\) −21.6581 15.7093i −0.846900 0.614284i
\(655\) −0.332592 + 19.3598i −0.0129955 + 0.756449i
\(656\) 12.0019 2.89774i 0.468596 0.113138i
\(657\) −11.7117 + 17.5636i −0.456919 + 0.685222i
\(658\) 16.2478 + 12.2910i 0.633405 + 0.479155i
\(659\) −11.8262 36.3972i −0.460682 1.41783i −0.864333 0.502919i \(-0.832259\pi\)
0.403652 0.914913i \(-0.367741\pi\)
\(660\) −8.49211 + 23.2745i −0.330555 + 0.905959i
\(661\) 2.10508 6.47876i 0.0818780 0.251995i −0.901734 0.432290i \(-0.857706\pi\)
0.983612 + 0.180296i \(0.0577055\pi\)
\(662\) 9.14898 6.38086i 0.355585 0.247999i
\(663\) −34.2229 + 0.688165i −1.32911 + 0.0267261i
\(664\) −8.99987 + 5.77345i −0.349263 + 0.224053i
\(665\) −20.3494 0.349593i −0.789114 0.0135566i
\(666\) −30.1307 + 0.629763i −1.16754 + 0.0244028i
\(667\) 21.3170 15.4877i 0.825399 0.599688i
\(668\) 16.3732 + 24.4701i 0.633497 + 0.946776i
\(669\) −3.90349 + 1.35567i −0.150918 + 0.0524133i
\(670\) −41.7165 1.52296i −1.61165 0.0588370i
\(671\) 32.8858 + 23.8930i 1.26954 + 0.922378i
\(672\) 24.8981 15.3289i 0.960467 0.591325i
\(673\) −5.26994 1.71231i −0.203141 0.0660046i 0.205679 0.978620i \(-0.434060\pi\)
−0.408820 + 0.912615i \(0.634060\pi\)
\(674\) 14.0708 + 46.3317i 0.541988 + 1.78463i
\(675\) 15.8116 + 20.6154i 0.608588 + 0.793487i
\(676\) −0.818384 + 0.547589i −0.0314763 + 0.0210611i
\(677\) 13.4443 41.3774i 0.516708 1.59026i −0.263445 0.964674i \(-0.584859\pi\)
0.780153 0.625589i \(-0.215141\pi\)
\(678\) 10.9459 + 7.93941i 0.420374 + 0.304911i
\(679\) 2.81933 3.88048i 0.108196 0.148919i
\(680\) −33.9316 2.55366i −1.30122 0.0979284i
\(681\) 11.8969 + 34.2556i 0.455889 + 1.31268i
\(682\) −5.80907 19.1278i −0.222441 0.732440i
\(683\) 23.8490 + 32.8253i 0.912557 + 1.25603i 0.966286 + 0.257471i \(0.0828892\pi\)
−0.0537294 + 0.998556i \(0.517111\pi\)
\(684\) 17.3957 5.68271i 0.665143 0.217284i
\(685\) −0.0677297 0.0233003i −0.00258782 0.000890260i
\(686\) −0.415237 + 21.4974i −0.0158538 + 0.820776i
\(687\) 0.0153560 + 0.763662i 0.000585866 + 0.0291355i
\(688\) 36.0382 + 2.78961i 1.37394 + 0.106353i
\(689\) 23.4835 + 7.63026i 0.894651 + 0.290690i
\(690\) −8.53930 + 24.8862i −0.325086 + 0.947402i
\(691\) −29.8137 + 9.68706i −1.13417 + 0.368513i −0.815158 0.579239i \(-0.803350\pi\)
−0.319009 + 0.947752i \(0.603350\pi\)
\(692\) −9.27477 + 25.1903i −0.352574 + 0.957590i
\(693\) −23.8235 15.8859i −0.904979 0.603456i
\(694\) 30.8343 + 23.3254i 1.17045 + 0.885418i
\(695\) −34.5867 + 24.2320i −1.31195 + 0.919174i
\(696\) −1.01645 + 26.8531i −0.0385284 + 1.01787i
\(697\) 9.76140 13.4354i 0.369739 0.508903i
\(698\) −0.0509670 + 2.63864i −0.00192913 + 0.0998740i
\(699\) −29.2832 8.86791i −1.10759 0.335415i
\(700\) 7.12751 + 28.9778i 0.269395 + 1.09526i
\(701\) 14.8261i 0.559973i 0.960004 + 0.279987i \(0.0903301\pi\)
−0.960004 + 0.279987i \(0.909670\pi\)
\(702\) −16.7475 21.1685i −0.632094 0.798955i
\(703\) −17.5281 12.7349i −0.661084 0.480306i
\(704\) 10.6677 23.2581i 0.402056 0.876572i
\(705\) 10.9453 15.1581i 0.412225 0.570887i
\(706\) −19.6000 + 25.9096i −0.737655 + 0.975122i
\(707\) 27.8390i 1.04699i
\(708\) −8.97622 + 11.8854i −0.337347 + 0.446682i
\(709\) 8.92404 + 27.4654i 0.335149 + 1.03148i 0.966648 + 0.256107i \(0.0824399\pi\)
−0.631499 + 0.775377i \(0.717560\pi\)
\(710\) 0.319247 + 1.12004i 0.0119811 + 0.0420344i
\(711\) 27.6186 + 34.9663i 1.03578 + 1.31134i
\(712\) −11.0594 + 28.3371i −0.414468 + 1.06198i
\(713\) −6.56015 20.1901i −0.245680 0.756124i
\(714\) 12.1232 37.4123i 0.453700 1.40012i
\(715\) 20.9851 + 15.8044i 0.784800 + 0.591050i
\(716\) −1.84135 1.44969i −0.0688146 0.0541773i
\(717\) −39.7553 + 13.8069i −1.48469 + 0.515628i
\(718\) 7.12518 2.16390i 0.265909 0.0807562i
\(719\) 26.3495 19.1440i 0.982669 0.713951i 0.0243652 0.999703i \(-0.492244\pi\)
0.958303 + 0.285753i \(0.0922435\pi\)
\(720\) −14.5723 22.5310i −0.543078 0.839682i
\(721\) 2.54896 + 1.85193i 0.0949284 + 0.0689695i
\(722\) −12.9583 4.48887i −0.482257 0.167058i
\(723\) 12.9139 18.5475i 0.480274 0.689789i
\(724\) 17.0553 11.4119i 0.633856 0.424119i
\(725\) −25.7776 9.36622i −0.957358 0.347853i
\(726\) 1.88535 0.00149395i 0.0699720 5.54457e-5i
\(727\) −6.92940 + 21.3265i −0.256997 + 0.790956i 0.736432 + 0.676511i \(0.236509\pi\)
−0.993430 + 0.114445i \(0.963491\pi\)
\(728\) −7.85704 29.9913i −0.291201 1.11155i
\(729\) 19.7749 18.3835i 0.732403 0.680872i
\(730\) 12.4140 + 18.4676i 0.459465 + 0.683518i
\(731\) 39.3331 28.5772i 1.45479 1.05697i
\(732\) −42.1149 + 12.8267i −1.55661 + 0.474087i
\(733\) 11.5432 + 15.8879i 0.426359 + 0.586833i 0.967113 0.254348i \(-0.0818609\pi\)
−0.540754 + 0.841181i \(0.681861\pi\)
\(734\) 1.30953 + 1.87763i 0.0483357 + 0.0693045i
\(735\) −7.37853 + 0.0216026i −0.272161 + 0.000796824i
\(736\) 10.8496 24.9134i 0.399923 0.918321i
\(737\) −13.0474 40.1558i −0.480608 1.47916i
\(738\) 13.0929 0.273655i 0.481955 0.0100734i
\(739\) 5.68259 + 1.84639i 0.209038 + 0.0679204i 0.411664 0.911336i \(-0.364948\pi\)
−0.202626 + 0.979256i \(0.564948\pi\)
\(740\) −11.4865 + 29.6181i −0.422253 + 1.08878i
\(741\) −0.390123 19.4011i −0.0143315 0.712717i
\(742\) −17.1152 + 22.6249i −0.628318 + 0.830588i
\(743\) 39.0493i 1.43258i 0.697802 + 0.716291i \(0.254161\pi\)
−0.697802 + 0.716291i \(0.745839\pi\)
\(744\) 20.3231 + 7.46444i 0.745080 + 0.273660i
\(745\) 26.8949 + 20.2551i 0.985351 + 0.742090i
\(746\) 0.544233 1.57107i 0.0199258 0.0575209i
\(747\) −10.6365 + 3.93538i −0.389168 + 0.143988i
\(748\) −9.36351 33.1189i −0.342364 1.21095i
\(749\) 20.6365i 0.754042i
\(750\) 26.4415 7.13086i 0.965506 0.260382i
\(751\) 40.2538i 1.46888i 0.678673 + 0.734441i \(0.262556\pi\)
−0.678673 + 0.734441i \(0.737444\pi\)
\(752\) −12.5219 + 14.6995i −0.456626 + 0.536036i
\(753\) −26.3336 34.7537i −0.959651 1.26650i
\(754\) 26.9247 + 9.32695i 0.980538 + 0.339668i
\(755\) 3.98399 + 3.00043i 0.144992 + 0.109197i
\(756\) 29.2795 10.2207i 1.06489 0.371724i
\(757\) 37.4848i 1.36241i −0.732094 0.681204i \(-0.761457\pi\)
0.732094 0.681204i \(-0.238543\pi\)
\(758\) −14.9535 11.3119i −0.543134 0.410867i
\(759\) −26.6064 + 0.535010i −0.965751 + 0.0194196i
\(760\) 1.44768 19.2359i 0.0525128 0.697760i
\(761\) −12.4530 4.04623i −0.451422 0.146676i 0.0744775 0.997223i \(-0.476271\pi\)
−0.525899 + 0.850547i \(0.676271\pi\)
\(762\) 4.05276 + 12.4396i 0.146816 + 0.450638i
\(763\) −10.0726 31.0002i −0.364652 1.12228i
\(764\) −9.66120 34.1719i −0.349530 1.23629i
\(765\) −34.5729 10.3594i −1.24999 0.374545i
\(766\) 1.45014 1.01138i 0.0523956 0.0365427i
\(767\) 9.28298 + 12.7769i 0.335189 + 0.461348i
\(768\) 13.1381 + 24.4006i 0.474080 + 0.880482i
\(769\) 21.5484 15.6559i 0.777056 0.564565i −0.127038 0.991898i \(-0.540547\pi\)
0.904094 + 0.427333i \(0.140547\pi\)
\(770\) −25.0497 + 16.8385i −0.902728 + 0.606819i
\(771\) −8.08264 10.6670i −0.291089 0.384164i
\(772\) 0.399989 10.3502i 0.0143959 0.372511i
\(773\) 9.89681 30.4592i 0.355963 1.09554i −0.599485 0.800386i \(-0.704628\pi\)
0.955449 0.295157i \(