Properties

Label 503.2.c.a.2.18
Level $503$
Weight $2$
Character 503.2
Analytic conductor $4.016$
Analytic rank $0$
Dimension $10250$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 503 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 503.c (of order \(251\), degree \(250\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.01647522167\)
Analytic rank: \(0\)
Dimension: \(10250\)
Relative dimension: \(41\) over \(\Q(\zeta_{251})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{251}]$

Embedding invariants

Embedding label 2.18
Character \(\chi\) \(=\) 503.2
Dual form 503.2.c.a.252.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.380517 - 0.468498i) q^{2} +(-1.24266 + 1.07553i) q^{3} +(0.335410 - 1.60096i) q^{4} +(-0.464781 - 1.46787i) q^{5} +(0.976735 + 0.172925i) q^{6} +(-0.519527 + 1.50848i) q^{7} +(-1.95081 + 1.00478i) q^{8} +(-0.0428949 + 0.295950i) q^{9} +O(q^{10})\) \(q+(-0.380517 - 0.468498i) q^{2} +(-1.24266 + 1.07553i) q^{3} +(0.335410 - 1.60096i) q^{4} +(-0.464781 - 1.46787i) q^{5} +(0.976735 + 0.172925i) q^{6} +(-0.519527 + 1.50848i) q^{7} +(-1.95081 + 1.00478i) q^{8} +(-0.0428949 + 0.295950i) q^{9} +(-0.510836 + 0.776297i) q^{10} +(-5.11452 + 1.65474i) q^{11} +(1.30508 + 2.35018i) q^{12} +(3.94054 - 1.32962i) q^{13} +(0.904407 - 0.330603i) q^{14} +(2.15630 + 1.32417i) q^{15} +(-1.78327 - 0.781514i) q^{16} +(4.81167 + 2.40256i) q^{17} +(0.154974 - 0.0925176i) q^{18} +(2.02548 + 4.54420i) q^{19} +(-2.50589 + 0.251758i) q^{20} +(-0.976818 - 2.43328i) q^{21} +(2.72140 + 1.76649i) q^{22} +(-0.872219 + 3.01487i) q^{23} +(1.34352 - 3.34675i) q^{24} +(2.15016 - 1.51337i) q^{25} +(-2.12236 - 1.34019i) q^{26} +(-2.92348 - 4.56614i) q^{27} +(2.24075 + 1.33770i) q^{28} +(-0.530662 + 4.44186i) q^{29} +(-0.200137 - 1.51409i) q^{30} +(0.327377 + 4.01512i) q^{31} +(1.47924 + 5.36363i) q^{32} +(4.57587 - 7.55709i) q^{33} +(-0.705323 - 3.16847i) q^{34} +(2.45571 + 0.0614857i) q^{35} +(0.459416 + 0.167938i) q^{36} +(-1.52699 - 1.92890i) q^{37} +(1.35822 - 2.67808i) q^{38} +(-3.46669 + 5.89042i) q^{39} +(2.38158 + 2.39653i) q^{40} +(-0.633660 + 3.22516i) q^{41} +(-0.768294 + 1.38354i) q^{42} +(-0.931336 + 5.07525i) q^{43} +(0.933698 + 8.74316i) q^{44} +(0.454352 - 0.0745879i) q^{45} +(1.74435 - 0.738575i) q^{46} +(-0.230256 + 0.00864994i) q^{47} +(3.05653 - 0.946807i) q^{48} +(3.50988 + 2.74301i) q^{49} +(-1.52718 - 0.431483i) q^{50} +(-8.56327 + 2.18954i) q^{51} +(-0.806962 - 6.75460i) q^{52} +(-3.91752 + 8.78903i) q^{53} +(-1.02680 + 3.10714i) q^{54} +(4.80607 + 6.73835i) q^{55} +(-0.502183 - 3.46477i) q^{56} +(-7.40440 - 3.46841i) q^{57} +(2.28293 - 1.44159i) q^{58} +(-0.382944 + 0.920434i) q^{59} +(2.84318 - 3.00800i) q^{60} +(1.52451 + 2.51774i) q^{61} +(1.75650 - 1.68119i) q^{62} +(-0.424148 - 0.218460i) q^{63} +(-0.311171 + 0.436277i) q^{64} +(-3.78319 - 5.16621i) q^{65} +(-5.28168 + 0.731808i) q^{66} +(-9.23675 + 5.67222i) q^{67} +(5.46028 - 6.89744i) q^{68} +(-2.15871 - 4.68454i) q^{69} +(-0.905632 - 1.17389i) q^{70} +(-0.934108 - 5.92171i) q^{71} +(-0.213684 - 0.620443i) q^{72} +(-2.29943 - 2.20084i) q^{73} +(-0.322639 + 1.44937i) q^{74} +(-1.04423 + 4.19315i) q^{75} +(7.95444 - 1.71854i) q^{76} +(0.161006 - 8.57482i) q^{77} +(4.07879 - 0.617265i) q^{78} +(-0.731131 - 12.9672i) q^{79} +(-0.318329 + 2.98084i) q^{80} +(7.68369 + 2.27514i) q^{81} +(1.75210 - 0.930359i) q^{82} +(-4.17111 - 7.97537i) q^{83} +(-4.22322 + 0.747696i) q^{84} +(1.29027 - 8.17955i) q^{85} +(2.73213 - 1.49489i) q^{86} +(-4.11792 - 6.09045i) q^{87} +(8.31485 - 8.36705i) q^{88} +(3.06672 + 11.6886i) q^{89} +(-0.207833 - 0.184481i) q^{90} +(-0.0415233 + 6.63498i) q^{91} +(4.53413 + 2.40760i) q^{92} +(-4.72520 - 4.63731i) q^{93} +(0.0916688 + 0.104583i) q^{94} +(5.72888 - 5.08520i) q^{95} +(-7.60692 - 5.07418i) q^{96} +(-2.11294 - 8.96144i) q^{97} +(-0.0504742 - 2.68813i) q^{98} +(-0.270331 - 1.58462i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} + O(q^{10}) \) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} - 233q^{10} - 239q^{11} - 239q^{12} - 245q^{13} - 223q^{14} - 231q^{15} - 263q^{16} - 243q^{17} - 217q^{18} - 229q^{19} - 195q^{20} - 215q^{21} - 233q^{22} - 241q^{23} - 181q^{24} - 280q^{25} - 215q^{26} - 237q^{27} - 185q^{28} - 217q^{29} - 159q^{30} - 219q^{31} - 185q^{32} - 209q^{33} - 167q^{34} - 187q^{35} - 203q^{36} - 237q^{37} - 161q^{38} - 197q^{39} - 135q^{40} - 209q^{41} - 117q^{42} - 221q^{43} - 147q^{44} - 167q^{45} - 167q^{46} - 195q^{47} - 141q^{48} - 234q^{49} - 145q^{50} - 177q^{51} - 179q^{52} - 211q^{53} - 83q^{54} - 165q^{55} - 125q^{56} - 177q^{57} - 205q^{58} - 189q^{59} - 27q^{60} - 193q^{61} - 143q^{62} - 159q^{63} - 185q^{64} - 155q^{65} - 97q^{66} - 201q^{67} - 155q^{68} - 113q^{69} - 123q^{70} - 153q^{71} - 21q^{72} - 213q^{73} - 83q^{74} - 161q^{75} - 97q^{76} - 139q^{77} - 43q^{78} - 191q^{79} + 3q^{80} - 188q^{81} - 97q^{82} - 161q^{83} + 67q^{84} - 159q^{85} - 121q^{86} - 121q^{87} - 143q^{88} - 155q^{89} + 115q^{90} - 137q^{91} - 119q^{92} - 123q^{93} - 99q^{94} - 181q^{95} + 67q^{96} - 229q^{97} - 63q^{98} - 85q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/503\mathbb{Z}\right)^\times\).

\(n\) \(5\)
\(\chi(n)\) \(e\left(\frac{101}{251}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.380517 0.468498i −0.269066 0.331278i 0.623814 0.781572i \(-0.285582\pi\)
−0.892880 + 0.450294i \(0.851319\pi\)
\(3\) −1.24266 + 1.07553i −0.717448 + 0.620958i −0.934816 0.355132i \(-0.884436\pi\)
0.217369 + 0.976090i \(0.430253\pi\)
\(4\) 0.335410 1.60096i 0.167705 0.800479i
\(5\) −0.464781 1.46787i −0.207856 0.656450i −0.998995 0.0448136i \(-0.985731\pi\)
0.791139 0.611637i \(-0.209489\pi\)
\(6\) 0.976735 + 0.172925i 0.398750 + 0.0705964i
\(7\) −0.519527 + 1.50848i −0.196363 + 0.570150i −0.999677 0.0254048i \(-0.991913\pi\)
0.803314 + 0.595555i \(0.203068\pi\)
\(8\) −1.95081 + 1.00478i −0.689717 + 0.355243i
\(9\) −0.0428949 + 0.295950i −0.0142983 + 0.0986499i
\(10\) −0.510836 + 0.776297i −0.161541 + 0.245487i
\(11\) −5.11452 + 1.65474i −1.54209 + 0.498921i −0.951394 0.307975i \(-0.900349\pi\)
−0.590693 + 0.806897i \(0.701145\pi\)
\(12\) 1.30508 + 2.35018i 0.376744 + 0.678440i
\(13\) 3.94054 1.32962i 1.09291 0.368769i 0.285270 0.958447i \(-0.407917\pi\)
0.807638 + 0.589678i \(0.200745\pi\)
\(14\) 0.904407 0.330603i 0.241713 0.0883572i
\(15\) 2.15630 + 1.32417i 0.556754 + 0.341898i
\(16\) −1.78327 0.781514i −0.445817 0.195379i
\(17\) 4.81167 + 2.40256i 1.16700 + 0.582707i 0.922142 0.386852i \(-0.126438\pi\)
0.244859 + 0.969559i \(0.421258\pi\)
\(18\) 0.154974 0.0925176i 0.0365278 0.0218066i
\(19\) 2.02548 + 4.54420i 0.464677 + 1.04251i 0.982370 + 0.186945i \(0.0598586\pi\)
−0.517693 + 0.855566i \(0.673209\pi\)
\(20\) −2.50589 + 0.251758i −0.560333 + 0.0562947i
\(21\) −0.976818 2.43328i −0.213159 0.530986i
\(22\) 2.72140 + 1.76649i 0.580205 + 0.376617i
\(23\) −0.872219 + 3.01487i −0.181870 + 0.628644i 0.816792 + 0.576932i \(0.195750\pi\)
−0.998662 + 0.0517112i \(0.983532\pi\)
\(24\) 1.34352 3.34675i 0.274245 0.683153i
\(25\) 2.15016 1.51337i 0.430031 0.302673i
\(26\) −2.12236 1.34019i −0.416230 0.262834i
\(27\) −2.92348 4.56614i −0.562624 0.878754i
\(28\) 2.24075 + 1.33770i 0.423463 + 0.252802i
\(29\) −0.530662 + 4.44186i −0.0985415 + 0.824833i 0.853968 + 0.520325i \(0.174189\pi\)
−0.952510 + 0.304508i \(0.901508\pi\)
\(30\) −0.200137 1.51409i −0.0365399 0.276434i
\(31\) 0.327377 + 4.01512i 0.0587986 + 0.721137i 0.958585 + 0.284806i \(0.0919293\pi\)
−0.899787 + 0.436330i \(0.856278\pi\)
\(32\) 1.47924 + 5.36363i 0.261494 + 0.948164i
\(33\) 4.57587 7.55709i 0.796558 1.31552i
\(34\) −0.705323 3.16847i −0.120962 0.543389i
\(35\) 2.45571 + 0.0614857i 0.415091 + 0.0103930i
\(36\) 0.459416 + 0.167938i 0.0765693 + 0.0279896i
\(37\) −1.52699 1.92890i −0.251036 0.317108i 0.642339 0.766420i \(-0.277964\pi\)
−0.893375 + 0.449312i \(0.851669\pi\)
\(38\) 1.35822 2.67808i 0.220333 0.434442i
\(39\) −3.46669 + 5.89042i −0.555115 + 0.943222i
\(40\) 2.38158 + 2.39653i 0.376561 + 0.378925i
\(41\) −0.633660 + 3.22516i −0.0989610 + 0.503686i 0.898891 + 0.438173i \(0.144374\pi\)
−0.997852 + 0.0655127i \(0.979132\pi\)
\(42\) −0.768294 + 1.38354i −0.118550 + 0.213485i
\(43\) −0.931336 + 5.07525i −0.142027 + 0.773968i 0.833235 + 0.552919i \(0.186486\pi\)
−0.975263 + 0.221049i \(0.929052\pi\)
\(44\) 0.933698 + 8.74316i 0.140760 + 1.31808i
\(45\) 0.454352 0.0745879i 0.0677308 0.0111189i
\(46\) 1.74435 0.738575i 0.257191 0.108897i
\(47\) −0.230256 + 0.00864994i −0.0335863 + 0.00126172i −0.0543280 0.998523i \(-0.517302\pi\)
0.0207416 + 0.999785i \(0.493397\pi\)
\(48\) 3.05653 0.946807i 0.441172 0.136660i
\(49\) 3.50988 + 2.74301i 0.501412 + 0.391858i
\(50\) −1.52718 0.431483i −0.215976 0.0610210i
\(51\) −8.56327 + 2.18954i −1.19910 + 0.306597i
\(52\) −0.806962 6.75460i −0.111906 0.936695i
\(53\) −3.91752 + 8.78903i −0.538113 + 1.20727i 0.416423 + 0.909171i \(0.363284\pi\)
−0.954536 + 0.298095i \(0.903649\pi\)
\(54\) −1.02680 + 3.10714i −0.139729 + 0.422828i
\(55\) 4.80607 + 6.73835i 0.648050 + 0.908599i
\(56\) −0.502183 3.46477i −0.0671070 0.462999i
\(57\) −7.40440 3.46841i −0.980737 0.459402i
\(58\) 2.28293 1.44159i 0.299763 0.189290i
\(59\) −0.382944 + 0.920434i −0.0498551 + 0.119830i −0.946261 0.323404i \(-0.895173\pi\)
0.896406 + 0.443234i \(0.146169\pi\)
\(60\) 2.84318 3.00800i 0.367053 0.388332i
\(61\) 1.52451 + 2.51774i 0.195193 + 0.322363i 0.937681 0.347496i \(-0.112968\pi\)
−0.742488 + 0.669859i \(0.766354\pi\)
\(62\) 1.75650 1.68119i 0.223076 0.213512i
\(63\) −0.424148 0.218460i −0.0534376 0.0275234i
\(64\) −0.311171 + 0.436277i −0.0388963 + 0.0545346i
\(65\) −3.78319 5.16621i −0.469247 0.640789i
\(66\) −5.28168 + 0.731808i −0.650130 + 0.0900794i
\(67\) −9.23675 + 5.67222i −1.12845 + 0.692972i −0.956384 0.292113i \(-0.905642\pi\)
−0.172065 + 0.985086i \(0.555044\pi\)
\(68\) 5.46028 6.89744i 0.662157 0.836437i
\(69\) −2.15871 4.68454i −0.259879 0.563952i
\(70\) −0.905632 1.17389i −0.108244 0.140307i
\(71\) −0.934108 5.92171i −0.110858 0.702778i −0.978601 0.205765i \(-0.934032\pi\)
0.867743 0.497013i \(-0.165570\pi\)
\(72\) −0.213684 0.620443i −0.0251829 0.0731199i
\(73\) −2.29943 2.20084i −0.269128 0.257589i 0.544785 0.838576i \(-0.316611\pi\)
−0.813913 + 0.580986i \(0.802667\pi\)
\(74\) −0.322639 + 1.44937i −0.0375061 + 0.168486i
\(75\) −1.04423 + 4.19315i −0.120577 + 0.484183i
\(76\) 7.95444 1.71854i 0.912437 0.197130i
\(77\) 0.161006 8.57482i 0.0183484 0.977191i
\(78\) 4.07879 0.617265i 0.461832 0.0698914i
\(79\) −0.731131 12.9672i −0.0822587 1.45893i −0.722829 0.691027i \(-0.757159\pi\)
0.640570 0.767900i \(-0.278698\pi\)
\(80\) −0.318329 + 2.98084i −0.0355902 + 0.333267i
\(81\) 7.68369 + 2.27514i 0.853743 + 0.252793i
\(82\) 1.75210 0.930359i 0.193487 0.102741i
\(83\) −4.17111 7.97537i −0.457839 0.875410i −0.999396 0.0347459i \(-0.988938\pi\)
0.541557 0.840664i \(-0.317835\pi\)
\(84\) −4.22322 + 0.747696i −0.460791 + 0.0815803i
\(85\) 1.29027 8.17955i 0.139949 0.887197i
\(86\) 2.73213 1.49489i 0.294614 0.161198i
\(87\) −4.11792 6.09045i −0.441488 0.652964i
\(88\) 8.31485 8.36705i 0.886366 0.891930i
\(89\) 3.06672 + 11.6886i 0.325071 + 1.23899i 0.905382 + 0.424598i \(0.139585\pi\)
−0.580311 + 0.814395i \(0.697069\pi\)
\(90\) −0.207833 0.184481i −0.0219075 0.0194460i
\(91\) −0.0415233 + 6.63498i −0.00435282 + 0.695535i
\(92\) 4.53413 + 2.40760i 0.472716 + 0.251010i
\(93\) −4.72520 4.63731i −0.489980 0.480866i
\(94\) 0.0916688 + 0.104583i 0.00945491 + 0.0107869i
\(95\) 5.72888 5.08520i 0.587770 0.521730i
\(96\) −7.60692 5.07418i −0.776378 0.517881i
\(97\) −2.11294 8.96144i −0.214536 0.909897i −0.967708 0.252073i \(-0.918888\pi\)
0.753172 0.657823i \(-0.228523\pi\)
\(98\) −0.0504742 2.68813i −0.00509866 0.271543i
\(99\) −0.270331 1.58462i −0.0271693 0.159261i
\(100\) −1.70165 3.94991i −0.170165 0.394991i
\(101\) 2.34051 0.922609i 0.232889 0.0918031i −0.247399 0.968914i \(-0.579576\pi\)
0.480288 + 0.877111i \(0.340532\pi\)
\(102\) 4.28426 + 3.17872i 0.424205 + 0.314741i
\(103\) −7.06744 + 1.43456i −0.696375 + 0.141351i −0.534134 0.845400i \(-0.679362\pi\)
−0.162241 + 0.986751i \(0.551872\pi\)
\(104\) −6.35129 + 6.55320i −0.622795 + 0.642594i
\(105\) −3.11773 + 2.56478i −0.304259 + 0.250297i
\(106\) 5.60833 1.50902i 0.544729 0.146569i
\(107\) −8.33439 0.313095i −0.805716 0.0302680i −0.368504 0.929626i \(-0.620130\pi\)
−0.437212 + 0.899358i \(0.644034\pi\)
\(108\) −8.29076 + 3.14884i −0.797779 + 0.302997i
\(109\) 2.81378 + 2.97690i 0.269511 + 0.285135i 0.847372 0.531000i \(-0.178184\pi\)
−0.577860 + 0.816136i \(0.696112\pi\)
\(110\) 1.32812 4.81569i 0.126631 0.459158i
\(111\) 3.97211 + 0.754629i 0.377016 + 0.0716262i
\(112\) 2.10535 2.28400i 0.198937 0.215818i
\(113\) 0.440600 + 0.896392i 0.0414481 + 0.0843255i 0.917182 0.398469i \(-0.130458\pi\)
−0.875734 + 0.482795i \(0.839622\pi\)
\(114\) 1.19255 + 4.78874i 0.111693 + 0.448506i
\(115\) 4.83082 0.120953i 0.450476 0.0112789i
\(116\) 6.93324 + 2.33941i 0.643735 + 0.217209i
\(117\) 0.224471 + 1.22324i 0.0207523 + 0.113088i
\(118\) 0.576939 0.170832i 0.0531115 0.0157263i
\(119\) −6.12400 + 6.01009i −0.561386 + 0.550944i
\(120\) −5.53703 0.416603i −0.505460 0.0380304i
\(121\) 14.5049 10.4830i 1.31862 0.953003i
\(122\) 0.599455 1.67227i 0.0542721 0.151400i
\(123\) −2.68134 4.68929i −0.241768 0.422819i
\(124\) 6.53784 + 0.822597i 0.587116 + 0.0738713i
\(125\) −9.34545 7.11696i −0.835882 0.636560i
\(126\) 0.0590473 + 0.281840i 0.00526035 + 0.0251083i
\(127\) 13.5772 7.65108i 1.20478 0.678924i 0.247723 0.968831i \(-0.420318\pi\)
0.957055 + 0.289907i \(0.0936244\pi\)
\(128\) 11.4288 0.716164i 1.01017 0.0633006i
\(129\) −4.30125 7.30847i −0.378704 0.643475i
\(130\) −0.980793 + 3.73824i −0.0860213 + 0.327866i
\(131\) 9.51330 6.34582i 0.831181 0.554437i −0.0651233 0.997877i \(-0.520744\pi\)
0.896304 + 0.443440i \(0.146242\pi\)
\(132\) −10.5638 9.86051i −0.919460 0.858247i
\(133\) −7.90711 + 0.694553i −0.685634 + 0.0602254i
\(134\) 6.17216 + 2.16903i 0.533194 + 0.187376i
\(135\) −5.34371 + 6.41354i −0.459913 + 0.551989i
\(136\) −11.8007 + 0.147709i −1.01190 + 0.0126659i
\(137\) −5.27688 13.6361i −0.450835 1.16501i −0.953730 0.300664i \(-0.902792\pi\)
0.502896 0.864347i \(-0.332268\pi\)
\(138\) −1.37327 + 2.79390i −0.116901 + 0.237833i
\(139\) −7.27583 1.57193i −0.617128 0.133329i −0.108187 0.994131i \(-0.534505\pi\)
−0.508941 + 0.860802i \(0.669963\pi\)
\(140\) 0.922107 3.91087i 0.0779322 0.330528i
\(141\) 0.276826 0.258396i 0.0233129 0.0217609i
\(142\) −2.41887 + 2.69094i −0.202987 + 0.225818i
\(143\) −17.9538 + 13.3209i −1.50137 + 1.11395i
\(144\) 0.307782 0.494235i 0.0256485 0.0411863i
\(145\) 6.76670 1.28555i 0.561944 0.106759i
\(146\) −0.156120 + 1.91474i −0.0129206 + 0.158465i
\(147\) −7.31176 + 0.366371i −0.603064 + 0.0302178i
\(148\) −3.60025 + 1.79768i −0.295939 + 0.147768i
\(149\) −8.06750 + 12.6005i −0.660916 + 1.03227i 0.335020 + 0.942211i \(0.391257\pi\)
−0.995936 + 0.0900634i \(0.971293\pi\)
\(150\) 2.36183 1.10634i 0.192843 0.0903325i
\(151\) 12.1720 + 18.4973i 0.990543 + 1.50529i 0.857700 + 0.514151i \(0.171893\pi\)
0.132844 + 0.991137i \(0.457589\pi\)
\(152\) −8.51725 6.82973i −0.690840 0.553965i
\(153\) −0.917434 + 1.32095i −0.0741701 + 0.106793i
\(154\) −4.07855 + 3.18743i −0.328659 + 0.256850i
\(155\) 5.74150 2.34670i 0.461169 0.188491i
\(156\) 8.26756 + 7.52574i 0.661934 + 0.602541i
\(157\) −5.92910 + 12.4540i −0.473193 + 0.993937i 0.517226 + 0.855849i \(0.326964\pi\)
−0.990420 + 0.138089i \(0.955904\pi\)
\(158\) −5.79692 + 5.27678i −0.461178 + 0.419798i
\(159\) −4.58473 15.1352i −0.363593 1.20030i
\(160\) 7.18557 4.66423i 0.568069 0.368740i
\(161\) −4.09472 2.88203i −0.322709 0.227136i
\(162\) −1.85787 4.46552i −0.145968 0.350845i
\(163\) −7.45364 2.83090i −0.583814 0.221733i 0.0453949 0.998969i \(-0.485545\pi\)
−0.629209 + 0.777236i \(0.716621\pi\)
\(164\) 4.95081 + 2.09622i 0.386594 + 0.163687i
\(165\) −13.2196 3.20438i −1.02914 0.249461i
\(166\) −2.14927 + 4.98892i −0.166815 + 0.387215i
\(167\) 0.134246 4.28886i 0.0103882 0.331882i −0.980445 0.196793i \(-0.936947\pi\)
0.990833 0.135090i \(-0.0431322\pi\)
\(168\) 4.35050 + 3.76540i 0.335649 + 0.290507i
\(169\) 3.41755 2.60261i 0.262888 0.200201i
\(170\) −4.32308 + 2.50797i −0.331565 + 0.192352i
\(171\) −1.43174 + 0.404517i −0.109488 + 0.0309342i
\(172\) 7.81288 + 3.19332i 0.595727 + 0.243489i
\(173\) 2.06852 + 4.34489i 0.157266 + 0.330336i 0.966297 0.257430i \(-0.0828758\pi\)
−0.809030 + 0.587767i \(0.800007\pi\)
\(174\) −1.28643 + 4.24676i −0.0975237 + 0.321946i
\(175\) 1.16581 + 4.02970i 0.0881272 + 0.304616i
\(176\) 10.4138 + 1.04623i 0.784968 + 0.0788629i
\(177\) −0.514086 1.55565i −0.0386411 0.116930i
\(178\) 4.30917 5.88447i 0.322986 0.441060i
\(179\) −0.847612 + 1.57243i −0.0633535 + 0.117529i −0.909969 0.414675i \(-0.863895\pi\)
0.846616 + 0.532204i \(0.178636\pi\)
\(180\) 0.0329822 0.752416i 0.00245835 0.0560818i
\(181\) 1.00376 + 14.5580i 0.0746087 + 1.08209i 0.875480 + 0.483254i \(0.160545\pi\)
−0.800871 + 0.598837i \(0.795630\pi\)
\(182\) 3.12428 2.50527i 0.231587 0.185703i
\(183\) −4.60234 1.48902i −0.340215 0.110072i
\(184\) −1.32774 6.75784i −0.0978822 0.498194i
\(185\) −2.12165 + 3.13793i −0.155987 + 0.230705i
\(186\) −0.374555 + 3.97832i −0.0274637 + 0.291705i
\(187\) −28.5850 4.32592i −2.09034 0.316343i
\(188\) −0.0633821 + 0.371532i −0.00462262 + 0.0270967i
\(189\) 8.40674 2.03777i 0.611500 0.148226i
\(190\) −4.56234 0.748969i −0.330987 0.0543359i
\(191\) −0.946698 + 16.7905i −0.0685007 + 1.21492i 0.758104 + 0.652134i \(0.226126\pi\)
−0.826605 + 0.562783i \(0.809731\pi\)
\(192\) −0.0825513 0.876816i −0.00595763 0.0632787i
\(193\) 11.5259 + 6.30642i 0.829656 + 0.453946i 0.837771 0.546021i \(-0.183858\pi\)
−0.00811556 + 0.999967i \(0.502583\pi\)
\(194\) −3.39441 + 4.39988i −0.243705 + 0.315893i
\(195\) 10.2576 + 2.35088i 0.734563 + 0.168350i
\(196\) 5.56869 4.69914i 0.397764 0.335653i
\(197\) −7.01303 + 0.527655i −0.499657 + 0.0375939i −0.322463 0.946582i \(-0.604511\pi\)
−0.177194 + 0.984176i \(0.556702\pi\)
\(198\) −0.639527 + 0.729625i −0.0454492 + 0.0518522i
\(199\) 0.113377 + 18.1165i 0.00803710 + 1.28424i 0.770595 + 0.637325i \(0.219959\pi\)
−0.762558 + 0.646919i \(0.776057\pi\)
\(200\) −2.67396 + 5.11273i −0.189077 + 0.361525i
\(201\) 5.37746 16.9830i 0.379296 1.19789i
\(202\) −1.32284 0.745457i −0.0930750 0.0524502i
\(203\) −6.42475 3.10816i −0.450929 0.218150i
\(204\) 0.633147 + 14.4438i 0.0443292 + 1.01127i
\(205\) 5.02862 0.568866i 0.351214 0.0397313i
\(206\) 3.36137 + 2.76521i 0.234198 + 0.192661i
\(207\) −0.854836 0.387456i −0.0594152 0.0269300i
\(208\) −8.06615 0.708523i −0.559287 0.0491272i
\(209\) −17.8788 19.8898i −1.23670 1.37581i
\(210\) 2.38795 + 0.484709i 0.164784 + 0.0334481i
\(211\) 22.3231 15.2978i 1.53679 1.05314i 0.562787 0.826602i \(-0.309729\pi\)
0.974002 0.226538i \(-0.0727409\pi\)
\(212\) 12.7569 + 9.21973i 0.876147 + 0.633213i
\(213\) 7.52975 + 6.35399i 0.515930 + 0.435368i
\(214\) 3.02469 + 4.02379i 0.206764 + 0.275060i
\(215\) 7.88266 0.991802i 0.537593 0.0676403i
\(216\) 10.2911 + 5.97024i 0.700222 + 0.406224i
\(217\) −6.22679 1.59212i −0.422702 0.108080i
\(218\) 0.323982 2.45101i 0.0219429 0.166004i
\(219\) 5.22447 + 0.261783i 0.353037 + 0.0176897i
\(220\) 12.3998 5.43420i 0.835996 0.366374i
\(221\) 22.1550 + 3.06971i 1.49031 + 0.206491i
\(222\) −1.15791 2.14808i −0.0777139 0.144169i
\(223\) 19.5648 9.46506i 1.31016 0.633827i 0.356381 0.934341i \(-0.384011\pi\)
0.953778 + 0.300514i \(0.0971580\pi\)
\(224\) −8.85941 0.555160i −0.591944 0.0370932i
\(225\) 0.355650 + 0.701254i 0.0237100 + 0.0467503i
\(226\) 0.252303 0.547512i 0.0167829 0.0364200i
\(227\) −6.82288 + 1.56370i −0.452851 + 0.103786i −0.443707 0.896172i \(-0.646337\pi\)
−0.00914380 + 0.999958i \(0.502911\pi\)
\(228\) −8.03629 + 10.6908i −0.532217 + 0.708015i
\(229\) 5.12527 8.96338i 0.338687 0.592317i −0.646680 0.762761i \(-0.723843\pi\)
0.985367 + 0.170445i \(0.0545204\pi\)
\(230\) −1.89487 2.21721i −0.124944 0.146198i
\(231\) 9.02240 + 10.8287i 0.593630 + 0.712477i
\(232\) −3.42786 9.19844i −0.225050 0.603907i
\(233\) −13.9616 0.174756i −0.914653 0.0114487i −0.446196 0.894935i \(-0.647222\pi\)
−0.468456 + 0.883487i \(0.655190\pi\)
\(234\) 0.487669 0.570625i 0.0318799 0.0373029i
\(235\) 0.119716 + 0.333965i 0.00780939 + 0.0217855i
\(236\) 1.34513 + 0.921801i 0.0875607 + 0.0600042i
\(237\) 14.8552 + 15.3274i 0.964948 + 0.995624i
\(238\) 5.14600 + 0.582145i 0.333566 + 0.0377348i
\(239\) 0.300300 4.35541i 0.0194248 0.281728i −0.977924 0.208960i \(-0.932992\pi\)
0.997349 0.0727680i \(-0.0231833\pi\)
\(240\) −2.81040 4.04652i −0.181411 0.261202i
\(241\) −11.5479 3.57713i −0.743864 0.230423i −0.0993889 0.995049i \(-0.531689\pi\)
−0.644475 + 0.764626i \(0.722924\pi\)
\(242\) −10.4306 2.80654i −0.670506 0.180411i
\(243\) 2.81964 1.27801i 0.180880 0.0819841i
\(244\) 4.54213 1.59620i 0.290780 0.102186i
\(245\) 2.39504 6.42694i 0.153014 0.410602i
\(246\) −1.17663 + 3.04055i −0.0750191 + 0.193859i
\(247\) 14.0235 + 15.2135i 0.892296 + 0.968011i
\(248\) −4.67296 7.50381i −0.296733 0.476493i
\(249\) 13.7610 + 5.42447i 0.872068 + 0.343762i
\(250\) 0.221813 + 7.08645i 0.0140287 + 0.448186i
\(251\) 6.21608 7.65335i 0.392356 0.483075i −0.541512 0.840693i \(-0.682148\pi\)
0.933868 + 0.357618i \(0.116411\pi\)
\(252\) −0.492009 + 0.605770i −0.0309937 + 0.0381599i
\(253\) −0.527826 16.8629i −0.0331841 1.06016i
\(254\) −8.75085 3.44951i −0.549077 0.216442i
\(255\) 7.19400 + 11.5521i 0.450506 + 0.723420i
\(256\) −3.95795 4.29380i −0.247372 0.268363i
\(257\) 8.63813 22.3220i 0.538832 1.39241i −0.351111 0.936334i \(-0.614196\pi\)
0.889943 0.456072i \(-0.150744\pi\)
\(258\) −1.78731 + 4.79612i −0.111273 + 0.298593i
\(259\) 3.70301 1.30131i 0.230094 0.0808597i
\(260\) −9.53980 + 4.32393i −0.591633 + 0.268159i
\(261\) −1.29180 0.347583i −0.0799607 0.0215148i
\(262\) −6.59298 2.04227i −0.407315 0.126172i
\(263\) 7.94314 + 11.4368i 0.489795 + 0.705225i 0.986695 0.162583i \(-0.0519826\pi\)
−0.496900 + 0.867808i \(0.665528\pi\)
\(264\) −1.33348 + 19.3402i −0.0820701 + 1.19031i
\(265\) 14.7219 + 1.66543i 0.904360 + 0.102306i
\(266\) 3.33418 + 3.44018i 0.204432 + 0.210931i
\(267\) −16.3824 11.2266i −1.00258 0.687057i
\(268\) 5.98289 + 16.6902i 0.365463 + 1.01951i
\(269\) −19.1526 + 22.4106i −1.16775 + 1.36640i −0.250487 + 0.968120i \(0.580591\pi\)
−0.917265 + 0.398277i \(0.869608\pi\)
\(270\) 5.03810 + 0.0630617i 0.306609 + 0.00383781i
\(271\) 6.69552 + 17.9670i 0.406724 + 1.09142i 0.965112 + 0.261837i \(0.0843283\pi\)
−0.558388 + 0.829580i \(0.688580\pi\)
\(272\) −6.70286 8.04480i −0.406421 0.487788i
\(273\) −7.08452 8.28965i −0.428775 0.501713i
\(274\) −4.38055 + 7.66098i −0.264639 + 0.462816i
\(275\) −8.49280 + 11.2981i −0.512135 + 0.681301i
\(276\) −8.22381 + 1.88477i −0.495015 + 0.113450i
\(277\) 13.0161 28.2457i 0.782060 1.69712i 0.0673143 0.997732i \(-0.478557\pi\)
0.714745 0.699385i \(-0.246543\pi\)
\(278\) 2.03213 + 4.00686i 0.121879 + 0.240315i
\(279\) −1.20232 0.0753412i −0.0719808 0.00451056i
\(280\) −4.85241 + 2.34750i −0.289987 + 0.140290i
\(281\) 6.24525 + 11.5858i 0.372560 + 0.691148i 0.995866 0.0908299i \(-0.0289520\pi\)
−0.623306 + 0.781978i \(0.714211\pi\)
\(282\) −0.226395 0.0313684i −0.0134816 0.00186796i
\(283\) 22.1840 9.72208i 1.31870 0.577918i 0.380747 0.924679i \(-0.375667\pi\)
0.937953 + 0.346762i \(0.112719\pi\)
\(284\) −9.79372 0.490735i −0.581151 0.0291198i
\(285\) −1.64974 + 12.4807i −0.0977222 + 0.739294i
\(286\) 13.0725 + 3.34251i 0.772996 + 0.197647i
\(287\) −4.53588 2.63142i −0.267744 0.155328i
\(288\) −1.65082 + 0.207707i −0.0972753 + 0.0122393i
\(289\) 7.16505 + 9.53176i 0.421473 + 0.560692i
\(290\) −3.17712 2.68102i −0.186567 0.157435i
\(291\) 12.2640 + 8.86346i 0.718926 + 0.519585i
\(292\) −4.29471 + 2.94311i −0.251329 + 0.172232i
\(293\) −13.5591 2.75225i −0.792131 0.160788i −0.214110 0.976810i \(-0.568685\pi\)
−0.578022 + 0.816021i \(0.696175\pi\)
\(294\) 2.95389 + 3.28614i 0.172274 + 0.191652i
\(295\) 1.52906 + 0.134311i 0.0890253 + 0.00781990i
\(296\) 4.91699 + 2.22863i 0.285794 + 0.129537i
\(297\) 22.5080 + 18.5160i 1.30604 + 1.07441i
\(298\) 8.97314 1.01509i 0.519800 0.0588027i
\(299\) 0.571606 + 13.0399i 0.0330569 + 0.754118i
\(300\) 6.36282 + 3.07820i 0.367357 + 0.177720i
\(301\) −7.17204 4.04163i −0.413389 0.232956i
\(302\) 4.03430 12.7411i 0.232148 0.733167i
\(303\) −1.91615 + 3.66377i −0.110080 + 0.210478i
\(304\) −0.0606202 9.68647i −0.00347681 0.555557i
\(305\) 2.98714 3.40797i 0.171043 0.195140i
\(306\) 0.967964 0.0728289i 0.0553348 0.00416335i
\(307\) −4.28566 + 3.61646i −0.244596 + 0.206402i −0.758903 0.651204i \(-0.774264\pi\)
0.514307 + 0.857606i \(0.328049\pi\)
\(308\) −13.6739 3.13385i −0.779144 0.178568i
\(309\) 7.23948 9.38391i 0.411840 0.533832i
\(310\) −3.28416 1.79693i −0.186528 0.102059i
\(311\) 2.61312 + 27.7552i 0.148177 + 1.57385i 0.683974 + 0.729506i \(0.260250\pi\)
−0.535797 + 0.844347i \(0.679989\pi\)
\(312\) 0.844300 14.9744i 0.0477991 0.847757i
\(313\) −17.0368 2.79682i −0.962977 0.158086i −0.340086 0.940394i \(-0.610456\pi\)
−0.622891 + 0.782309i \(0.714042\pi\)
\(314\) 8.09080 1.96118i 0.456590 0.110676i
\(315\) −0.123534 + 0.724129i −0.00696036 + 0.0408001i
\(316\) −21.0052 3.17883i −1.18164 0.178823i
\(317\) 2.11566 22.4715i 0.118828 1.26212i −0.710635 0.703561i \(-0.751592\pi\)
0.829463 0.558562i \(-0.188647\pi\)
\(318\) −5.34623 + 7.90712i −0.299802 + 0.443409i
\(319\) −4.63602 23.5961i −0.259567 1.32113i
\(320\) 0.785023 + 0.253984i 0.0438841 + 0.0141981i
\(321\) 10.6935 8.57482i 0.596854 0.478600i
\(322\) 0.207882 + 3.01503i 0.0115848 + 0.168021i
\(323\) −1.17178 + 26.7315i −0.0651996 + 1.48738i
\(324\) 6.21959 11.5382i 0.345533 0.641009i
\(325\) 6.46057 8.82236i 0.358368 0.489377i
\(326\) 1.50996 + 4.56922i 0.0836291 + 0.253066i
\(327\) −6.69831 0.672955i −0.370417 0.0372145i
\(328\) −2.00442 6.92838i −0.110676 0.382556i
\(329\) 0.106576 0.351830i 0.00587573 0.0193970i
\(330\) 3.52902 + 7.41268i 0.194266 + 0.408054i
\(331\) −24.3408 9.94872i −1.33789 0.546831i −0.407437 0.913233i \(-0.633577\pi\)
−0.930457 + 0.366402i \(0.880589\pi\)
\(332\) −14.1673 + 4.00276i −0.777530 + 0.219680i
\(333\) 0.636356 0.369173i 0.0348721 0.0202305i
\(334\) −2.06041 + 1.56909i −0.112741 + 0.0858568i
\(335\) 12.6191 + 10.9220i 0.689457 + 0.596732i
\(336\) −0.159716 + 5.10260i −0.00871324 + 0.278369i
\(337\) 1.41980 3.29566i 0.0773412 0.179526i −0.875332 0.483523i \(-0.839357\pi\)
0.952673 + 0.303997i \(0.0983212\pi\)
\(338\) −2.51975 0.610779i −0.137056 0.0332220i
\(339\) −1.51161 0.640029i −0.0820994 0.0347616i
\(340\) −12.6624 4.80917i −0.686713 0.260814i
\(341\) −8.31833 19.9937i −0.450463 1.08272i
\(342\) 0.734316 + 0.516841i 0.0397073 + 0.0279476i
\(343\) −15.3288 + 9.95010i −0.827678 + 0.537255i
\(344\) −3.28264 10.8367i −0.176988 0.584273i
\(345\) −5.87295 + 5.34599i −0.316189 + 0.287819i
\(346\) 1.24847 2.62240i 0.0671182 0.140981i
\(347\) 20.9643 + 19.0832i 1.12542 + 1.02444i 0.999475 + 0.0324039i \(0.0103163\pi\)
0.125947 + 0.992037i \(0.459803\pi\)
\(348\) −11.1317 + 4.54983i −0.596724 + 0.243896i
\(349\) −19.8931 + 15.5467i −1.06485 + 0.832194i −0.986341 0.164719i \(-0.947328\pi\)
−0.0785144 + 0.996913i \(0.525018\pi\)
\(350\) 1.44429 2.07955i 0.0772008 0.111157i
\(351\) −17.5913 14.1059i −0.938954 0.752919i
\(352\) −16.4410 24.9847i −0.876307 1.33169i
\(353\) 11.1657 5.23032i 0.594292 0.278382i −0.103561 0.994623i \(-0.533024\pi\)
0.697853 + 0.716242i \(0.254139\pi\)
\(354\) −0.533201 + 0.832799i −0.0283393 + 0.0442628i
\(355\) −8.25813 + 4.12345i −0.438296 + 0.218850i
\(356\) 19.7416 0.989196i 1.04630 0.0524273i
\(357\) 1.14599 14.0550i 0.0606522 0.743870i
\(358\) 1.05921 0.201231i 0.0559811 0.0106354i
\(359\) 11.4875 18.4466i 0.606288 0.973574i −0.392268 0.919851i \(-0.628309\pi\)
0.998556 0.0537234i \(-0.0171089\pi\)
\(360\) −0.811412 + 0.602030i −0.0427652 + 0.0317298i
\(361\) −3.84549 + 4.27803i −0.202394 + 0.225159i
\(362\) 6.43847 6.00984i 0.338399 0.315870i
\(363\) −6.74974 + 28.6272i −0.354270 + 1.50254i
\(364\) 10.6084 + 2.29192i 0.556031 + 0.120129i
\(365\) −2.16181 + 4.39817i −0.113154 + 0.230211i
\(366\) 1.05366 + 2.72279i 0.0550757 + 0.142322i
\(367\) 2.09259 0.0261928i 0.109232 0.00136726i 0.0421188 0.999113i \(-0.486589\pi\)
0.0671134 + 0.997745i \(0.478621\pi\)
\(368\) 3.91156 4.69467i 0.203904 0.244727i
\(369\) −0.927305 0.325875i −0.0482736 0.0169644i
\(370\) 2.27744 0.200048i 0.118398 0.0104000i
\(371\) −11.2228 10.4756i −0.582658 0.543868i
\(372\) −9.00902 + 6.00944i −0.467096 + 0.311575i
\(373\) 2.02993 7.73696i 0.105106 0.400605i −0.893743 0.448579i \(-0.851930\pi\)
0.998849 + 0.0479748i \(0.0152767\pi\)
\(374\) 8.85038 + 15.0381i 0.457642 + 0.777602i
\(375\) 19.2677 1.20738i 0.994979 0.0623487i
\(376\) 0.440496 0.248231i 0.0227168 0.0128015i
\(377\) 3.81487 + 18.2089i 0.196476 + 0.937806i
\(378\) −4.15359 3.16314i −0.213638 0.162694i
\(379\) 31.9586 + 4.02105i 1.64160 + 0.206547i 0.890934 0.454133i \(-0.150051\pi\)
0.750667 + 0.660681i \(0.229732\pi\)
\(380\) −6.21966 10.8773i −0.319062 0.557995i
\(381\) −8.64276 + 24.1103i −0.442782 + 1.23521i
\(382\) 8.22655 5.94553i 0.420907 0.304200i
\(383\) 16.4427 + 1.23713i 0.840180 + 0.0632146i 0.488135 0.872768i \(-0.337677\pi\)
0.352046 + 0.935983i \(0.385486\pi\)
\(384\) −13.4318 + 13.1819i −0.685436 + 0.672687i
\(385\) −12.6615 + 3.74908i −0.645291 + 0.191071i
\(386\) −1.43127 7.79958i −0.0728496 0.396988i
\(387\) −1.46207 0.493331i −0.0743211 0.0250774i
\(388\) −15.0556 + 0.376960i −0.764332 + 0.0191372i
\(389\) 3.77329 + 15.1518i 0.191313 + 0.768227i 0.986758 + 0.162200i \(0.0518590\pi\)
−0.795444 + 0.606026i \(0.792763\pi\)
\(390\) −2.80181 5.70022i −0.141875 0.288642i
\(391\) −11.4402 + 12.4110i −0.578557 + 0.627651i
\(392\) −9.60325 1.82444i −0.485037 0.0921484i
\(393\) −4.99663 + 18.1175i −0.252047 + 0.913908i
\(394\) 2.91578 + 3.08481i 0.146895 + 0.155410i
\(395\) −18.6943 + 7.10013i −0.940615 + 0.357246i
\(396\) −2.62759 0.0987094i −0.132041 0.00496033i
\(397\) 0.0191540 0.00515373i 0.000961314 0.000258658i −0.259346 0.965785i \(-0.583507\pi\)
0.260307 + 0.965526i \(0.416176\pi\)
\(398\) 8.44441 6.94674i 0.423280 0.348209i
\(399\) 9.07880 9.36743i 0.454509 0.468958i
\(400\) −5.01702 + 1.01836i −0.250851 + 0.0509182i
\(401\) −9.72252 7.21366i −0.485520 0.360233i 0.325222 0.945638i \(-0.394561\pi\)
−0.810741 + 0.585405i \(0.800936\pi\)
\(402\) −10.0027 + 3.94299i −0.498891 + 0.196659i
\(403\) 6.62861 + 15.3864i 0.330194 + 0.766453i
\(404\) −0.692028 4.05651i −0.0344297 0.201819i
\(405\) −0.231630 12.3361i −0.0115098 0.612985i
\(406\) 0.988555 + 4.19269i 0.0490612 + 0.208080i
\(407\) 11.0016 + 7.33862i 0.545331 + 0.363762i
\(408\) 14.5054 12.8756i 0.718122 0.637436i
\(409\) −2.90768 3.31732i −0.143776 0.164031i 0.675638 0.737233i \(-0.263868\pi\)
−0.819414 + 0.573203i \(0.805701\pi\)
\(410\) −2.17999 2.13944i −0.107662 0.105659i
\(411\) 21.2234 + 11.2695i 1.04687 + 0.555885i
\(412\) −0.0738212 + 11.7958i −0.00363691 + 0.581139i
\(413\) −1.18950 1.05585i −0.0585316 0.0519551i
\(414\) 0.143757 + 0.547923i 0.00706527 + 0.0269289i
\(415\) −9.76812 + 9.82944i −0.479498 + 0.482508i
\(416\) 12.9605 + 19.1688i 0.635443 + 0.939826i
\(417\) 10.7320 5.87201i 0.525549 0.287554i
\(418\) −2.51515 + 15.9446i −0.123020 + 0.779876i
\(419\) −32.7795 + 5.80341i −1.60138 + 0.283515i −0.902164 0.431393i \(-0.858022\pi\)
−0.699218 + 0.714908i \(0.746468\pi\)
\(420\) 3.06039 + 5.85161i 0.149332 + 0.285529i
\(421\) 3.41456 1.81312i 0.166416 0.0883660i −0.383687 0.923463i \(-0.625346\pi\)
0.550102 + 0.835097i \(0.314589\pi\)
\(422\) −15.6613 4.63731i −0.762380 0.225741i
\(423\) 0.00731687 0.0685153i 0.000355759 0.00333133i
\(424\) −1.18867 21.0820i −0.0577268 1.02383i
\(425\) 13.9818 2.11594i 0.678217 0.102638i
\(426\) 0.111636 5.94547i 0.00540879 0.288059i
\(427\) −4.58997 + 0.991651i −0.222124 + 0.0479894i
\(428\) −3.29669 + 13.2380i −0.159352 + 0.639883i
\(429\) 7.98338 35.8632i 0.385441 1.73149i
\(430\) −3.46414 3.31562i −0.167056 0.159893i
\(431\) −7.40253 21.4937i −0.356568 1.03531i −0.969482 0.245164i \(-0.921158\pi\)
0.612914 0.790150i \(-0.289997\pi\)
\(432\) 1.64485 + 10.4274i 0.0791378 + 0.501688i
\(433\) 1.45811 + 1.89002i 0.0700722 + 0.0908285i 0.825496 0.564408i \(-0.190896\pi\)
−0.755424 + 0.655237i \(0.772569\pi\)
\(434\) 1.62349 + 3.52307i 0.0779300 + 0.169113i
\(435\) −7.02603 + 8.87529i −0.336872 + 0.425538i
\(436\) 5.70967 3.50627i 0.273443 0.167920i
\(437\) −15.4668 + 2.14302i −0.739879 + 0.102515i
\(438\) −1.86535 2.54727i −0.0891300 0.121713i
\(439\) −17.2181 + 24.1407i −0.821777 + 1.15217i 0.164386 + 0.986396i \(0.447436\pi\)
−0.986163 + 0.165778i \(0.946987\pi\)
\(440\) −16.1463 8.31625i −0.769745 0.396461i
\(441\) −0.962349 + 0.921088i −0.0458261 + 0.0438613i
\(442\) −6.99221 11.5477i −0.332585 0.549267i
\(443\) 28.1330 29.7639i 1.33664 1.41412i 0.500359 0.865818i \(-0.333201\pi\)
0.836278 0.548306i \(-0.184727\pi\)
\(444\) 2.54042 6.10607i 0.120563 0.289781i
\(445\) 15.7320 9.93419i 0.745769 0.470926i
\(446\) −11.8791 5.56448i −0.562492 0.263486i
\(447\) −3.52710 24.3349i −0.166826 1.15100i
\(448\) −0.496452 0.696051i −0.0234552 0.0328853i
\(449\) 5.75417 17.4124i 0.271556 0.821742i −0.720219 0.693747i \(-0.755959\pi\)
0.991775 0.127995i \(-0.0408541\pi\)
\(450\) 0.193206 0.433460i 0.00910780 0.0204335i
\(451\) −2.09592 17.5437i −0.0986930 0.826101i
\(452\) 1.58287 0.404723i 0.0744519 0.0190366i
\(453\) −35.0200 9.89441i −1.64538 0.464880i
\(454\) 3.32881 + 2.60150i 0.156229 + 0.122094i
\(455\) 9.75857 3.02286i 0.457489 0.141714i
\(456\) 17.9296 0.673554i 0.839630 0.0315420i
\(457\) −20.2178 + 8.56039i −0.945750 + 0.400438i −0.807439 0.589951i \(-0.799147\pi\)
−0.138310 + 0.990389i \(0.544167\pi\)
\(458\) −6.14958 + 1.00954i −0.287351 + 0.0471725i
\(459\) −3.09638 28.9946i −0.144527 1.35335i
\(460\) 1.42667 7.77451i 0.0665186 0.362488i
\(461\) 17.8851 32.2075i 0.832992 1.50005i −0.0326948 0.999465i \(-0.510409\pi\)
0.865687 0.500586i \(-0.166882\pi\)
\(462\) 1.64006 8.34748i 0.0763026 0.388360i
\(463\) 8.09969 + 8.15054i 0.376424 + 0.378788i 0.871776 0.489905i \(-0.162969\pi\)
−0.495351 + 0.868693i \(0.664961\pi\)
\(464\) 4.41769 7.50631i 0.205086 0.348472i
\(465\) −4.61077 + 9.09129i −0.213819 + 0.421599i
\(466\) 5.23073 + 6.60747i 0.242309 + 0.306085i
\(467\) 34.3864 + 12.5698i 1.59121 + 0.581661i 0.978063 0.208308i \(-0.0667956\pi\)
0.613147 + 0.789969i \(0.289903\pi\)
\(468\) 2.03364 + 0.0509179i 0.0940050 + 0.00235368i
\(469\) −3.75767 16.8803i −0.173513 0.779460i
\(470\) 0.110908 0.183166i 0.00511582 0.00844881i
\(471\) −6.02683 21.8530i −0.277702 1.00693i
\(472\) −0.177779 2.18037i −0.00818292 0.100360i
\(473\) −3.63485 27.4986i −0.167131 1.26439i
\(474\) 1.52824 12.7920i 0.0701943 0.587555i
\(475\) 11.2321 + 6.70544i 0.515366 + 0.307667i
\(476\) 7.56785 + 11.8201i 0.346872 + 0.541774i
\(477\) −2.43307 1.53640i −0.111403 0.0703467i
\(478\) −2.15477 + 1.51662i −0.0985570 + 0.0693685i
\(479\) 5.83447 14.5339i 0.266584 0.664069i −0.733291 0.679915i \(-0.762016\pi\)
0.999874 + 0.0158467i \(0.00504436\pi\)
\(480\) −3.91267 + 13.5243i −0.178588 + 0.617299i
\(481\) −8.58185 5.57058i −0.391299 0.253996i
\(482\) 2.71828 + 6.77131i 0.123814 + 0.308425i
\(483\) 8.18803 0.822622i 0.372568 0.0374306i
\(484\) −11.9178 26.7378i −0.541719 1.21535i
\(485\) −12.1722 + 7.26662i −0.552709 + 0.329960i
\(486\) −1.67166 0.834695i −0.0758282 0.0378625i
\(487\) 13.0315 + 5.71101i 0.590512 + 0.258791i 0.675222 0.737615i \(-0.264048\pi\)
−0.0847095 + 0.996406i \(0.526996\pi\)
\(488\) −5.50380 3.37984i −0.249145 0.152998i
\(489\) 12.3070 4.49878i 0.556543 0.203442i
\(490\) −3.92237 + 1.32348i −0.177194 + 0.0597889i
\(491\) 11.9023 + 21.4337i 0.537145 + 0.967290i 0.996857 + 0.0792215i \(0.0252435\pi\)
−0.459712 + 0.888068i \(0.652047\pi\)
\(492\) −8.40670 + 2.71987i −0.379003 + 0.122621i
\(493\) −13.2252 + 20.0978i −0.595633 + 0.905160i
\(494\) 1.79131 12.3590i 0.0805948 0.556057i
\(495\) −2.20037 + 1.13331i −0.0988993 + 0.0509386i
\(496\) 2.55407 7.41589i 0.114681 0.332983i
\(497\) 9.41806 + 1.66741i 0.422458 + 0.0747936i
\(498\) −2.69493 8.51111i −0.120763 0.381392i
\(499\) 7.24019 34.5584i 0.324115 1.54705i −0.437622 0.899159i \(-0.644179\pi\)
0.761737 0.647886i \(-0.224347\pi\)
\(500\) −14.5285 + 12.5746i −0.649735 + 0.562352i
\(501\) 4.44598 + 5.47397i 0.198632 + 0.244559i
\(502\) −5.95090 −0.265602
\(503\) 14.5250 17.0887i 0.647637 0.761949i
\(504\) 1.04694 0.0466343
\(505\) −2.44209 3.00675i −0.108672 0.133798i
\(506\) −7.69940 + 6.66390i −0.342280 + 0.296247i
\(507\) −1.44765 + 6.90982i −0.0642924 + 0.306876i
\(508\) −7.69514 24.3027i −0.341417 1.07826i
\(509\) −12.0745 2.13772i −0.535192 0.0947526i −0.0998240 0.995005i \(-0.531828\pi\)
−0.435368 + 0.900253i \(0.643382\pi\)
\(510\) 2.67470 7.76614i 0.118438 0.343890i
\(511\) 4.51453 2.32524i 0.199711 0.102862i
\(512\) 2.77956 19.1774i 0.122840 0.847527i
\(513\) 14.8280 22.5335i 0.654672 0.994878i
\(514\) −13.7448 + 4.44693i −0.606255 + 0.196146i
\(515\) 5.39056 + 9.70731i 0.237536 + 0.427755i
\(516\) −13.1432 + 4.43479i −0.578599 + 0.195231i
\(517\) 1.16334 0.425253i 0.0511635 0.0187026i
\(518\) −2.01872 1.23968i −0.0886974 0.0544684i
\(519\) −7.24352 3.17446i −0.317955 0.139343i
\(520\) 12.5712 + 6.27705i 0.551283 + 0.275267i
\(521\) −1.11866 + 0.667828i −0.0490095 + 0.0292581i −0.536888 0.843653i \(-0.680400\pi\)
0.487879 + 0.872911i \(0.337771\pi\)
\(522\) 0.328711 + 0.737469i 0.0143873 + 0.0322782i
\(523\) 37.0585 3.72314i 1.62046 0.162801i 0.752206 0.658929i \(-0.228990\pi\)
0.868250 + 0.496127i \(0.165245\pi\)
\(524\) −6.96854 17.3589i −0.304422 0.758325i
\(525\) −5.78276 3.75366i −0.252380 0.163823i
\(526\) 2.33564 8.07325i 0.101839 0.352010i
\(527\) −8.07134 + 20.1060i −0.351593 + 0.875829i
\(528\) −14.0660 + 9.90022i −0.612144 + 0.430852i
\(529\) 11.1186 + 7.02098i 0.483417 + 0.305260i
\(530\) −4.82169 7.53092i −0.209441 0.327122i
\(531\) −0.255976 0.152814i −0.0111084 0.00663157i
\(532\) −1.54018 + 12.8919i −0.0667752 + 0.558935i
\(533\) 1.79127 + 13.5514i 0.0775883 + 0.586976i
\(534\) 0.974111 + 11.9470i 0.0421539 + 0.516998i
\(535\) 3.41409 + 12.3793i 0.147604 + 0.535204i
\(536\) 12.3199 20.3463i 0.532137 0.878828i
\(537\) −0.637907 2.86562i −0.0275277 0.123661i
\(538\) 17.7872 + 0.445353i 0.766860 + 0.0192005i
\(539\) −22.4903 8.22125i −0.968727 0.354114i
\(540\) 8.47547 + 10.7062i 0.364726 + 0.460722i
\(541\) 0.103742 0.204553i 0.00446020 0.00879442i −0.889616 0.456709i \(-0.849028\pi\)
0.894077 + 0.447914i \(0.147833\pi\)
\(542\) 5.86975 9.97358i 0.252127 0.428402i
\(543\) −16.9049 17.0111i −0.725460 0.730015i
\(544\) −5.76886 + 29.3620i −0.247338 + 1.25888i
\(545\) 3.06190 5.51387i 0.131157 0.236188i
\(546\) −1.18791 + 6.47344i −0.0508379 + 0.277038i
\(547\) 0.880219 + 8.24238i 0.0376355 + 0.352419i 0.997426 + 0.0717021i \(0.0228431\pi\)
−0.959791 + 0.280717i \(0.909428\pi\)
\(548\) −23.6008 + 3.87438i −1.00817 + 0.165505i
\(549\) −0.810517 + 0.343180i −0.0345920 + 0.0146466i
\(550\) 8.52479 0.320247i 0.363498 0.0136554i
\(551\) −21.2595 + 6.58547i −0.905687 + 0.280550i
\(552\) 8.91818 + 6.96964i 0.379583 + 0.296648i
\(553\) 19.9406 + 5.63393i 0.847960 + 0.239579i
\(554\) −18.1859 + 4.64993i −0.772644 + 0.197557i
\(555\) −0.738466 6.18126i −0.0313461 0.262380i
\(556\) −4.95698 + 11.1211i −0.210223 + 0.471638i
\(557\) −13.8463 + 41.8995i −0.586685 + 1.77534i 0.0436864 + 0.999045i \(0.486090\pi\)
−0.630372 + 0.776294i \(0.717097\pi\)
\(558\) 0.422204 + 0.591952i 0.0178733 + 0.0250593i
\(559\) 3.07816 + 21.2375i 0.130192 + 0.898252i
\(560\) −4.33114 2.02882i −0.183024 0.0857332i
\(561\) 40.1740 25.3684i 1.69615 1.07105i
\(562\) 3.05149 7.33446i 0.128719 0.309386i
\(563\) 22.7096 24.0261i 0.957094 1.01258i −0.0428153 0.999083i \(-0.513633\pi\)
0.999909 0.0134946i \(-0.00429558\pi\)
\(564\) −0.320832 0.529856i −0.0135094 0.0223109i
\(565\) 1.11100 1.06337i 0.0467402 0.0447362i
\(566\) −12.9961 6.69374i −0.546269 0.281359i
\(567\) −7.42388 + 10.4087i −0.311774 + 0.437123i
\(568\) 7.77228 + 10.6136i 0.326118 + 0.445336i
\(569\) 30.9031 4.28180i 1.29552 0.179503i 0.543931 0.839130i \(-0.316935\pi\)
0.751593 + 0.659627i \(0.229286\pi\)
\(570\) 6.47495 3.97622i 0.271206 0.166546i
\(571\) −6.16304 + 7.78515i −0.257915 + 0.325799i −0.895905 0.444246i \(-0.853471\pi\)
0.637990 + 0.770045i \(0.279766\pi\)
\(572\) 15.3043 + 33.2113i 0.639905 + 1.38863i
\(573\) −16.8823 21.8830i −0.705266 0.914175i
\(574\) 0.493160 + 3.12635i 0.0205841 + 0.130491i
\(575\) 2.68720 + 7.80243i 0.112064 + 0.325384i
\(576\) −0.115769 0.110805i −0.00482369 0.00461687i
\(577\) −2.60981 + 11.7239i −0.108648 + 0.488071i 0.890786 + 0.454423i \(0.150155\pi\)
−0.999434 + 0.0336477i \(0.989288\pi\)
\(578\) 1.73920 6.98381i 0.0723410 0.290488i
\(579\) −21.1055 + 4.55980i −0.877116 + 0.189499i
\(580\) 0.211508 11.2644i 0.00878238 0.467729i
\(581\) 14.1977 2.14861i 0.589018 0.0891393i
\(582\) −0.514119 9.11834i −0.0213109 0.377967i
\(583\) 5.49275 51.4342i 0.227486 2.13019i
\(584\) 6.69712 + 1.98302i 0.277129 + 0.0820579i
\(585\) 1.69122 0.898030i 0.0699232 0.0371290i
\(586\) 3.87004 + 7.39969i 0.159870 + 0.305679i
\(587\) −39.4140 + 6.97802i −1.62679 + 0.288014i −0.911650 0.410967i \(-0.865191\pi\)
−0.715140 + 0.698981i \(0.753637\pi\)
\(588\) −1.86590 + 11.8287i −0.0769483 + 0.487808i
\(589\) −17.5824 + 9.62021i −0.724471 + 0.396394i
\(590\) −0.518908 0.767470i −0.0213631 0.0315962i
\(591\) 8.14727 8.19841i 0.335134 0.337238i
\(592\) 1.21558 + 4.63310i 0.0499598 + 0.190419i
\(593\) 27.6471 + 24.5407i 1.13533 + 1.00777i 0.999856 + 0.0169868i \(0.00540731\pi\)
0.135475 + 0.990781i \(0.456744\pi\)
\(594\) 0.110086 17.5906i 0.00451689 0.721751i
\(595\) 11.6683 + 6.19584i 0.478355 + 0.254005i
\(596\) 17.4670 + 17.1421i 0.715475 + 0.702167i
\(597\) −19.6257 22.3906i −0.803227 0.916387i
\(598\) 5.89168 5.22970i 0.240929 0.213858i
\(599\) 0.307185 + 0.204907i 0.0125512 + 0.00837226i 0.561179 0.827694i \(-0.310348\pi\)
−0.548628 + 0.836066i \(0.684850\pi\)
\(600\) −2.17609 9.22928i −0.0888384 0.376784i
\(601\) 0.750415 + 39.9653i 0.0306101 + 1.63022i 0.594308 + 0.804237i \(0.297426\pi\)
−0.563698 + 0.825981i \(0.690622\pi\)
\(602\) 0.835582 + 4.89799i 0.0340558 + 0.199627i
\(603\) −1.28248 2.97692i −0.0522268 0.121230i
\(604\) 33.6960 13.2827i 1.37107 0.540465i
\(605\) −22.1293 16.4189i −0.899683 0.667523i
\(606\) 2.44560 0.496412i 0.0993457 0.0201654i
\(607\) −15.5263 + 16.0199i −0.630194 + 0.650228i −0.955365 0.295427i \(-0.904538\pi\)
0.325172 + 0.945655i \(0.394578\pi\)
\(608\) −21.3772 + 17.5859i −0.866962 + 0.713201i
\(609\) 11.3267 3.04764i 0.458980 0.123496i
\(610\) −2.73328 0.102680i −0.110667 0.00415740i
\(611\) −0.895832 + 0.340238i −0.0362415 + 0.0137645i
\(612\) 1.80708 + 1.91183i 0.0730467 + 0.0772813i
\(613\) −3.31621 + 12.0244i −0.133940 + 0.485661i −0.999895 0.0144610i \(-0.995397\pi\)
0.865955 + 0.500122i \(0.166712\pi\)
\(614\) 3.32507 + 0.631703i 0.134189 + 0.0254935i
\(615\) −5.63701 + 6.11534i −0.227306 + 0.246594i
\(616\) 8.30170 + 16.8897i 0.334485 + 0.680504i
\(617\) −0.918116 3.68673i −0.0369620 0.148422i 0.949040 0.315155i \(-0.102057\pi\)
−0.986002 + 0.166733i \(0.946678\pi\)
\(618\) −7.15109 + 0.179048i −0.287659 + 0.00720236i
\(619\) −21.9224 7.39705i −0.881135 0.297312i −0.157520 0.987516i \(-0.550350\pi\)
−0.723615 + 0.690203i \(0.757521\pi\)
\(620\) −1.83120 9.97901i −0.0735430 0.400767i
\(621\) 16.3162 4.83123i 0.654748 0.193871i
\(622\) 12.0089 11.7856i 0.481514 0.472558i
\(623\) −19.2253 1.44650i −0.770244 0.0579527i
\(624\) 10.7855 7.79494i 0.431765 0.312047i
\(625\) −1.66691 + 4.65009i −0.0666762 + 0.186003i
\(626\) 5.17248 + 9.04595i 0.206734 + 0.361549i
\(627\) 43.6093 + 5.48695i 1.74159 + 0.219128i
\(628\) 17.9497 + 13.6694i 0.716269 + 0.545470i
\(629\) −2.71308 12.9499i −0.108178 0.516346i
\(630\) 0.386260 0.217668i 0.0153890 0.00867209i
\(631\) 5.58826 0.350179i 0.222465 0.0139404i 0.0490815 0.998795i \(-0.484371\pi\)
0.173384 + 0.984854i \(0.444530\pi\)
\(632\) 14.4555 + 24.5620i 0.575008 + 0.977025i
\(633\) −11.2868 + 43.0191i −0.448610 + 1.70985i
\(634\) −11.3329 + 7.55957i −0.450086 + 0.300229i
\(635\) −17.5412 16.3734i −0.696100 0.649758i
\(636\) −25.7685 + 2.26348i −1.02179 + 0.0897529i
\(637\) 17.4780 + 6.14213i 0.692503 + 0.243360i
\(638\) −9.29066 + 11.1507i −0.367821 + 0.441460i
\(639\) 1.79260 0.0224379i 0.0709141 0.000887629i
\(640\) −6.36311 16.4430i −0.251524 0.649968i
\(641\) 2.52035 5.12761i 0.0995479 0.202528i −0.841943 0.539566i \(-0.818588\pi\)
0.941491 + 0.337038i \(0.109425\pi\)
\(642\) −8.08635 1.74704i −0.319143 0.0689500i
\(643\) 0.188830 0.800870i 0.00744672 0.0315832i −0.969460 0.245249i \(-0.921130\pi\)
0.976907 + 0.213666i \(0.0685405\pi\)
\(644\) −5.98742 + 5.58881i −0.235937 + 0.220230i
\(645\) −8.72872 + 9.71050i −0.343693 + 0.382351i
\(646\) 12.9696 9.62281i 0.510280 0.378604i
\(647\) 18.4735 29.6647i 0.726270 1.16624i −0.253736 0.967274i \(-0.581659\pi\)
0.980006 0.198968i \(-0.0637589\pi\)
\(648\) −17.2755 + 3.28203i −0.678644 + 0.128930i
\(649\) 0.435504 5.34125i 0.0170950 0.209663i
\(650\) −6.59162 + 0.330287i −0.258545 + 0.0129549i
\(651\) 9.45014 4.71864i 0.370380 0.184938i
\(652\) −7.03218 + 10.9835i −0.275401 + 0.430145i
\(653\) 29.2822 13.7165i 1.14590 0.536770i 0.244455 0.969661i \(-0.421391\pi\)
0.901446 + 0.432891i \(0.142506\pi\)
\(654\) 2.23354 + 3.39422i 0.0873383 + 0.132724i
\(655\) −13.7364 11.0148i −0.536727 0.430385i
\(656\) 3.65050 5.25612i 0.142528 0.205217i
\(657\) 0.749973 0.586111i 0.0292592 0.0228664i
\(658\) −0.205386 + 0.0839463i −0.00800677 + 0.00327257i
\(659\) −25.1549 22.8979i −0.979897 0.891974i 0.0142624 0.999898i \(-0.495460\pi\)
−0.994159 + 0.107925i \(0.965579\pi\)
\(660\) −9.56407 + 20.0892i −0.372281 + 0.781972i
\(661\) −31.6409 + 28.8019i −1.23069 + 1.12026i −0.242000 + 0.970276i \(0.577803\pi\)
−0.988688 + 0.149986i \(0.952077\pi\)
\(662\) 4.60114 + 15.1893i 0.178828 + 0.590349i
\(663\) −30.8327 + 20.0138i −1.19744 + 0.777272i
\(664\) 16.1505 + 11.3674i 0.626763 + 0.441141i
\(665\) 4.69459 + 11.2838i 0.182048 + 0.437566i
\(666\) −0.415101 0.157656i −0.0160848 0.00610903i
\(667\) −12.9288 5.47415i −0.500604 0.211960i
\(668\) −6.82126 1.65345i −0.263923 0.0639740i
\(669\) −14.1324 + 32.8044i −0.546390 + 1.26829i
\(670\) 0.315140 10.0680i 0.0121749 0.388962i
\(671\) −11.9633 10.3544i −0.461839 0.399726i
\(672\) 11.6063 8.83869i 0.447722 0.340960i
\(673\) −44.6547 + 25.9057i −1.72131 + 0.998593i −0.810538 + 0.585686i \(0.800825\pi\)
−0.910773 + 0.412907i \(0.864514\pi\)
\(674\) −2.08427 + 0.588880i −0.0802830 + 0.0226828i
\(675\) −13.1962 5.39361i −0.507921 0.207600i
\(676\) −3.02039 6.34429i −0.116169 0.244011i
\(677\) 3.10203 10.2405i 0.119221 0.393573i −0.876994 0.480502i \(-0.840454\pi\)
0.996214 + 0.0869294i \(0.0277055\pi\)
\(678\) 0.275341 + 0.951729i 0.0105744 + 0.0365509i
\(679\) 14.6159 + 1.46840i 0.560905 + 0.0563521i
\(680\) 5.70157 + 17.2532i 0.218645 + 0.661631i
\(681\) 6.79669 9.28136i 0.260450 0.355662i
\(682\) −6.20175 + 11.5051i −0.237477 + 0.440552i
\(683\) −0.155328 + 3.54347i −0.00594348 + 0.135587i 0.993766 + 0.111486i \(0.0355609\pi\)
−0.999710 + 0.0241014i \(0.992328\pi\)
\(684\) 0.167396 + 2.42783i 0.00640054 + 0.0928305i
\(685\) −17.5634 + 14.0836i −0.671063 + 0.538106i
\(686\) 10.4945 + 3.39535i 0.400681 + 0.129635i
\(687\) 3.27144 + 16.6508i 0.124813 + 0.635267i
\(688\) 5.62720 8.32268i 0.214535 0.317299i
\(689\) −3.75111 + 39.8423i −0.142906 + 1.51787i
\(690\) 4.73935 + 0.717231i 0.180424 + 0.0273045i
\(691\) −0.221334 + 1.29741i −0.00841994 + 0.0493558i −0.989660 0.143437i \(-0.954185\pi\)
0.981240 + 0.192792i \(0.0617544\pi\)
\(692\) 7.64980 1.85428i 0.290802 0.0704893i
\(693\) 2.53081 + 0.415466i 0.0961375 + 0.0157822i
\(694\) 0.963203 17.0832i 0.0365627 0.648470i
\(695\) 1.07429 + 11.4106i 0.0407502 + 0.432827i
\(696\) 14.1529 + 7.74373i 0.536463 + 0.293525i
\(697\) −10.7976 + 13.9960i −0.408989 + 0.530136i
\(698\) 14.8533 + 3.40413i 0.562204 + 0.128848i
\(699\) 17.5374 14.7989i 0.663324 0.559747i
\(700\) 6.84240 0.514818i 0.258618 0.0194583i
\(701\) 24.9604 28.4769i 0.942741 1.07556i −0.0542875 0.998525i \(-0.517289\pi\)
0.997029 0.0770306i \(-0.0245439\pi\)
\(702\) 0.0851685 + 13.6090i 0.00321448 + 0.513640i
\(703\) 5.67240 10.8459i 0.213939 0.409061i
\(704\) 0.869566 2.74626i 0.0327730 0.103503i
\(705\) −0.507955 0.286246i −0.0191307 0.0107806i
\(706\) −6.69914 3.24091i −0.252125 0.121973i
\(707\) 0.175775 + 4.00992i 0.00661072 + 0.150809i
\(708\) −2.66296 + 0.301249i −0.100080 + 0.0113216i
\(709\) 33.0093 + 27.1549i 1.23969 + 1.01982i 0.998785 + 0.0492740i \(0.0156908\pi\)
0.240904 + 0.970549i \(0.422556\pi\)
\(710\) 5.07418 + 2.29988i 0.190431 + 0.0863130i
\(711\) 3.86901 + 0.339850i 0.145099 + 0.0127454i
\(712\) −17.7271 19.7210i −0.664351 0.739076i
\(713\) −12.3906 2.51506i −0.464032 0.0941899i
\(714\) −7.02082 + 4.81127i −0.262748 + 0.180057i
\(715\) 27.8979 + 20.1625i 1.04332 + 0.754035i
\(716\) 2.23310 + 1.88440i 0.0834548 + 0.0704234i
\(717\) 4.31121 + 5.73526i 0.161005 + 0.214187i
\(718\) −13.0134 + 1.63736i −0.485655 + 0.0611055i
\(719\) −21.7954 12.6443i −0.812830 0.471551i 0.0365505 0.999332i \(-0.488363\pi\)
−0.849381 + 0.527780i \(0.823024\pi\)
\(720\) −0.868523 0.222072i −0.0323679 0.00827614i
\(721\) 1.50773 11.4064i 0.0561507 0.424795i
\(722\) 3.46752 + 0.173747i 0.129048 + 0.00646621i
\(723\) 18.1973 7.97494i 0.676766 0.296591i
\(724\) 23.6435 + 3.27595i 0.878704 + 0.121750i
\(725\) 5.58116 + 10.3538i 0.207279 + 0.384530i
\(726\) 15.9802 7.73089i 0.593081 0.286920i
\(727\) −11.1972 0.701654i −0.415281 0.0260229i −0.146468 0.989215i \(-0.546791\pi\)
−0.268813 + 0.963192i \(0.586631\pi\)
\(728\) −6.58568 12.9853i −0.244082 0.481269i
\(729\) −12.1906 + 26.4544i −0.451504 + 0.979792i
\(730\) 2.88314 0.660770i 0.106710 0.0244562i
\(731\) −16.6749 + 22.1828i −0.616743 + 0.820461i
\(732\) −3.92754 + 6.86872i −0.145166 + 0.253875i
\(733\) −20.7752 24.3092i −0.767348 0.897880i 0.229809 0.973236i \(-0.426190\pi\)
−0.997157 + 0.0753560i \(0.975991\pi\)
\(734\) −0.808536 0.970407i −0.0298436 0.0358184i
\(735\) 3.93616 + 10.5624i 0.145187 + 0.389601i
\(736\) −17.4609 0.218557i −0.643616 0.00805611i
\(737\) 37.8556 44.2951i 1.39443 1.63163i
\(738\) 0.200183 + 0.558442i 0.00736885 + 0.0205565i
\(739\) −9.18904 6.29713i −0.338024 0.231644i 0.384284 0.923215i \(-0.374449\pi\)
−0.722308 + 0.691572i \(0.756919\pi\)
\(740\) 4.31208 + 4.44916i 0.158515 + 0.163554i
\(741\) −33.7890 3.82240i −1.24127 0.140419i
\(742\) −0.637362 + 9.24401i −0.0233983 + 0.339358i
\(743\) 14.1131 + 20.3206i 0.517760 + 0.745489i 0.990768 0.135569i \(-0.0432861\pi\)
−0.473008 + 0.881058i \(0.656832\pi\)
\(744\) 13.8775 + 4.29875i 0.508772 + 0.157600i
\(745\) 22.2455 + 5.98554i 0.815012 + 0.219293i
\(746\) −4.39717 + 1.99302i −0.160992 + 0.0729698i
\(747\) 2.53923 0.892338i 0.0929055 0.0326489i
\(748\) −16.5133 + 44.3124i −0.603787 + 1.62022i
\(749\) 4.80224 12.4096i 0.175470 0.453436i
\(750\) −7.89732 8.56745i −0.288370 0.312839i
\(751\) −5.96719 9.58209i −0.217746 0.349656i 0.721786 0.692116i \(-0.243321\pi\)
−0.939532 + 0.342461i \(0.888740\pi\)
\(752\) 0.417369 + 0.164523i 0.0152199 + 0.00599955i
\(753\) 0.506953 + 16.1961i 0.0184744 + 0.590217i
\(754\) 7.07922 8.71605i 0.257810 0.317420i
\(755\) 21.4942 26.4641i 0.782256 0.963126i
\(756\) −0.442669 14.1423i −0.0160997 0.514352i
\(757\) −39.3836 15.5247i −1.43142 0.564254i −0.481417 0.876491i \(-0.659878\pi\)
−0.950004 + 0.312237i \(0.898922\pi\)
\(758\) −10.2769 16.5026i −0.373274 0.599402i
\(759\) 18.7925 + 20.3871i 0.682124 + 0.740005i
\(760\) −6.06648 + 15.6765i −0.220054 + 0.568647i
\(761\) 1.94000 5.20586i 0.0703249 0.188712i −0.897124 0.441779i \(-0.854348\pi\)
0.967449 + 0.253067i \(0.0814392\pi\)
\(762\) 14.5844 5.12525i 0.528335 0.185668i
\(763\) −5.95242 + 2.69794i −0.215492 + 0.0976721i
\(764\) 26.5633 + 7.14733i 0.961028 + 0.258581i
\(765\) 2.36539 + 0.732716i 0.0855209 + 0.0264914i
\(766\) −5.67711 8.17411i −0.205122 0.295342i
\(767\) −0.285184 + 4.13617i −0.0102974 + 0.149349i
\(768\) 9.53649 + 1.07882i 0.344118 + 0.0389286i
\(769\) −27.5973 28.4746i −0.995183 1.02682i −0.999640 0.0268304i \(-0.991459\pi\)
0.00445709 0.999990i \(-0.498581\pi\)
\(770\) 6.57436 + 4.50532i 0.236923 + 0.162360i
\(771\) 13.2737 + 37.0291i 0.478042 + 1.33357i
\(772\) 13.9622 16.3373i 0.502512 0.587993i