Properties

Label 29.3.f.a.27.1
Level $29$
Weight $3$
Character 29.27
Analytic conductor $0.790$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 29 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 29.f (of order \(28\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.790192766645\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(4\) over \(\Q(\zeta_{28})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label 27.1
Character \(\chi\) \(=\) 29.27
Dual form 29.3.f.a.14.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.388927 + 3.45182i) q^{2} +(-0.327948 + 0.521926i) q^{3} +(-7.86410 - 1.79493i) q^{4} +(4.44600 - 3.54557i) q^{5} +(-1.67405 - 1.33501i) q^{6} +(1.25371 + 5.49285i) q^{7} +(4.66523 - 13.3325i) q^{8} +(3.74010 + 7.76639i) q^{9} +O(q^{10})\) \(q+(-0.388927 + 3.45182i) q^{2} +(-0.327948 + 0.521926i) q^{3} +(-7.86410 - 1.79493i) q^{4} +(4.44600 - 3.54557i) q^{5} +(-1.67405 - 1.33501i) q^{6} +(1.25371 + 5.49285i) q^{7} +(4.66523 - 13.3325i) q^{8} +(3.74010 + 7.76639i) q^{9} +(10.5095 + 16.7258i) q^{10} +(-6.29707 - 17.9960i) q^{11} +(3.51584 - 3.51584i) q^{12} +(6.68692 - 13.8855i) q^{13} +(-19.4480 + 2.19126i) q^{14} +(0.392467 + 3.48325i) q^{15} +(15.1368 + 7.28948i) q^{16} +(1.08221 + 1.08221i) q^{17} +(-28.2628 + 9.88959i) q^{18} +(-17.6859 + 11.1128i) q^{19} +(-41.3278 + 19.9024i) q^{20} +(-3.27802 - 1.14703i) q^{21} +(64.5681 - 14.7372i) q^{22} +(4.81481 - 6.03758i) q^{23} +(5.42861 + 6.80726i) q^{24} +(1.63284 - 7.15396i) q^{25} +(45.3297 + 28.4825i) q^{26} +(-10.7928 - 1.21606i) q^{27} -45.4467i q^{28} +(-18.9830 - 21.9237i) q^{29} -12.1762 q^{30} +(-5.79670 + 51.4471i) q^{31} +(-0.989018 + 1.57401i) q^{32} +(11.4577 + 2.61514i) q^{33} +(-4.15651 + 3.31471i) q^{34} +(25.0493 + 19.9761i) q^{35} +(-15.4724 - 67.7889i) q^{36} +(-0.580820 + 1.65989i) q^{37} +(-31.4809 - 65.3707i) q^{38} +(5.05426 + 8.04381i) q^{39} +(-26.5295 - 75.8170i) q^{40} +(0.198543 - 0.198543i) q^{41} +(5.23425 - 10.8690i) q^{42} +(-16.5106 + 1.86030i) q^{43} +(17.2193 + 152.825i) q^{44} +(44.1647 + 21.2686i) q^{45} +(18.9681 + 18.9681i) q^{46} +(-2.91807 + 1.02108i) q^{47} +(-8.76864 + 5.50970i) q^{48} +(15.5478 - 7.48743i) q^{49} +(24.0591 + 8.41865i) q^{50} +(-0.919746 + 0.209926i) q^{51} +(-77.5102 + 97.1947i) q^{52} +(31.3688 + 39.3353i) q^{53} +(8.39524 - 36.7819i) q^{54} +(-91.8027 - 57.6835i) q^{55} +(79.0821 + 8.91041i) q^{56} -12.8752i q^{57} +(83.0596 - 56.9991i) q^{58} -1.15807 q^{59} +(3.16578 - 28.0971i) q^{60} +(-12.3983 + 19.7319i) q^{61} +(-175.332 - 40.0183i) q^{62} +(-37.9707 + 30.2806i) q^{63} +(47.4922 + 37.8737i) q^{64} +(-19.5020 - 85.4439i) q^{65} +(-13.4832 + 38.5328i) q^{66} +(2.18892 + 4.54533i) q^{67} +(-6.56815 - 10.4531i) q^{68} +(1.57217 + 4.49299i) q^{69} +(-78.6963 + 78.6963i) q^{70} +(12.0075 - 24.9339i) q^{71} +(120.993 - 13.6327i) q^{72} +(-8.52973 - 75.7035i) q^{73} +(-5.50374 - 2.65046i) q^{74} +(3.19835 + 3.19835i) q^{75} +(159.030 - 55.6472i) q^{76} +(90.9547 - 57.1506i) q^{77} +(-29.7315 + 14.3180i) q^{78} +(27.2780 + 9.54499i) q^{79} +(93.1433 - 21.2594i) q^{80} +(-44.1964 + 55.4205i) q^{81} +(0.608115 + 0.762553i) q^{82} +(-5.13309 + 22.4895i) q^{83} +(23.7198 + 14.9042i) q^{84} +(8.64858 + 0.974461i) q^{85} -57.7154i q^{86} +(17.6680 - 2.71789i) q^{87} -269.308 q^{88} +(8.12973 - 72.1533i) q^{89} +(-90.5923 + 144.177i) q^{90} +(84.6546 + 19.3219i) q^{91} +(-48.7012 + 38.8379i) q^{92} +(-24.9506 - 19.8974i) q^{93} +(-2.38966 - 10.4698i) q^{94} +(-39.2304 + 112.114i) q^{95} +(-0.497172 - 1.03239i) q^{96} +(65.8679 + 104.828i) q^{97} +(19.7983 + 56.5803i) q^{98} +(116.212 - 116.212i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} + O(q^{10}) \) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} - 20q^{10} - 8q^{11} - 68q^{12} - 14q^{13} + 26q^{14} - 4q^{15} + 18q^{16} - 26q^{17} - 34q^{18} + 2q^{19} + 46q^{20} + 218q^{21} + 154q^{22} + 56q^{23} + 154q^{24} - 34q^{25} + 110q^{26} + 126q^{27} - 170q^{29} + 24q^{30} - 88q^{31} - 132q^{32} - 224q^{33} - 224q^{34} - 210q^{35} - 434q^{36} - 56q^{37} - 294q^{38} - 232q^{39} - 492q^{40} - 34q^{41} - 14q^{42} + 176q^{43} + 126q^{44} + 114q^{45} + 744q^{46} + 208q^{47} + 640q^{48} + 506q^{49} + 732q^{50} + 322q^{51} + 690q^{52} - 14q^{53} - 36q^{54} + 284q^{55} + 332q^{56} - 508q^{58} - 44q^{59} - 316q^{60} - 30q^{61} - 504q^{62} - 686q^{63} - 896q^{64} - 554q^{65} - 608q^{66} - 574q^{67} - 796q^{68} - 806q^{69} - 1066q^{70} + 224q^{71} + 748q^{72} - 22q^{73} + 820q^{74} + 768q^{75} + 514q^{76} + 436q^{77} + 282q^{78} + 564q^{79} + 1162q^{80} + 670q^{81} - 18q^{82} - 126q^{83} + 572q^{84} + 38q^{85} - 118q^{87} - 384q^{88} - 160q^{89} - 828q^{90} - 434q^{91} - 1022q^{92} - 406q^{93} - 2q^{94} - 642q^{95} - 1176q^{96} + 604q^{97} - 102q^{98} + 316q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{15}{28}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.388927 + 3.45182i −0.194464 + 1.72591i 0.395487 + 0.918472i \(0.370576\pi\)
−0.589950 + 0.807440i \(0.700853\pi\)
\(3\) −0.327948 + 0.521926i −0.109316 + 0.173975i −0.896902 0.442229i \(-0.854188\pi\)
0.787586 + 0.616205i \(0.211331\pi\)
\(4\) −7.86410 1.79493i −1.96603 0.448733i
\(5\) 4.44600 3.54557i 0.889200 0.709113i −0.0682639 0.997667i \(-0.521746\pi\)
0.957464 + 0.288554i \(0.0931746\pi\)
\(6\) −1.67405 1.33501i −0.279008 0.222502i
\(7\) 1.25371 + 5.49285i 0.179101 + 0.784694i 0.982046 + 0.188640i \(0.0604081\pi\)
−0.802945 + 0.596053i \(0.796735\pi\)
\(8\) 4.66523 13.3325i 0.583154 1.66656i
\(9\) 3.74010 + 7.76639i 0.415566 + 0.862932i
\(10\) 10.5095 + 16.7258i 1.05095 + 1.67258i
\(11\) −6.29707 17.9960i −0.572461 1.63600i −0.757179 0.653208i \(-0.773423\pi\)
0.184718 0.982792i \(-0.440863\pi\)
\(12\) 3.51584 3.51584i 0.292987 0.292987i
\(13\) 6.68692 13.8855i 0.514378 1.06812i −0.468432 0.883499i \(-0.655181\pi\)
0.982810 0.184618i \(-0.0591048\pi\)
\(14\) −19.4480 + 2.19126i −1.38914 + 0.156518i
\(15\) 0.392467 + 3.48325i 0.0261645 + 0.232216i
\(16\) 15.1368 + 7.28948i 0.946047 + 0.455592i
\(17\) 1.08221 + 1.08221i 0.0636597 + 0.0636597i 0.738220 0.674560i \(-0.235667\pi\)
−0.674560 + 0.738220i \(0.735667\pi\)
\(18\) −28.2628 + 9.88959i −1.57016 + 0.549422i
\(19\) −17.6859 + 11.1128i −0.930837 + 0.584884i −0.909869 0.414896i \(-0.863818\pi\)
−0.0209684 + 0.999780i \(0.506675\pi\)
\(20\) −41.3278 + 19.9024i −2.06639 + 0.995122i
\(21\) −3.27802 1.14703i −0.156096 0.0546204i
\(22\) 64.5681 14.7372i 2.93491 0.669875i
\(23\) 4.81481 6.03758i 0.209340 0.262504i −0.666066 0.745893i \(-0.732023\pi\)
0.875405 + 0.483389i \(0.160594\pi\)
\(24\) 5.42861 + 6.80726i 0.226192 + 0.283636i
\(25\) 1.63284 7.15396i 0.0653138 0.286158i
\(26\) 45.3297 + 28.4825i 1.74345 + 1.09548i
\(27\) −10.7928 1.21606i −0.399734 0.0450392i
\(28\) 45.4467i 1.62310i
\(29\) −18.9830 21.9237i −0.654585 0.755988i
\(30\) −12.1762 −0.405873
\(31\) −5.79670 + 51.4471i −0.186990 + 1.65958i 0.453231 + 0.891393i \(0.350271\pi\)
−0.640221 + 0.768191i \(0.721157\pi\)
\(32\) −0.989018 + 1.57401i −0.0309068 + 0.0491879i
\(33\) 11.4577 + 2.61514i 0.347203 + 0.0792468i
\(34\) −4.15651 + 3.31471i −0.122250 + 0.0974914i
\(35\) 25.0493 + 19.9761i 0.715693 + 0.570746i
\(36\) −15.4724 67.7889i −0.429788 1.88303i
\(37\) −0.580820 + 1.65989i −0.0156978 + 0.0448618i −0.951466 0.307755i \(-0.900422\pi\)
0.935768 + 0.352617i \(0.114708\pi\)
\(38\) −31.4809 65.3707i −0.828444 1.72028i
\(39\) 5.05426 + 8.04381i 0.129596 + 0.206252i
\(40\) −26.5295 75.8170i −0.663238 1.89542i
\(41\) 0.198543 0.198543i 0.00484250 0.00484250i −0.704681 0.709524i \(-0.748910\pi\)
0.709524 + 0.704681i \(0.248910\pi\)
\(42\) 5.23425 10.8690i 0.124625 0.258786i
\(43\) −16.5106 + 1.86030i −0.383969 + 0.0432629i −0.301839 0.953359i \(-0.597601\pi\)
−0.0821293 + 0.996622i \(0.526172\pi\)
\(44\) 17.2193 + 152.825i 0.391347 + 3.47330i
\(45\) 44.1647 + 21.2686i 0.981438 + 0.472636i
\(46\) 18.9681 + 18.9681i 0.412349 + 0.412349i
\(47\) −2.91807 + 1.02108i −0.0620866 + 0.0217250i −0.361144 0.932510i \(-0.617614\pi\)
0.299057 + 0.954235i \(0.403328\pi\)
\(48\) −8.76864 + 5.50970i −0.182680 + 0.114785i
\(49\) 15.5478 7.48743i 0.317302 0.152805i
\(50\) 24.0591 + 8.41865i 0.481183 + 0.168373i
\(51\) −0.919746 + 0.209926i −0.0180342 + 0.00411620i
\(52\) −77.5102 + 97.1947i −1.49058 + 1.86913i
\(53\) 31.3688 + 39.3353i 0.591865 + 0.742175i 0.984085 0.177696i \(-0.0568644\pi\)
−0.392221 + 0.919871i \(0.628293\pi\)
\(54\) 8.39524 36.7819i 0.155467 0.681147i
\(55\) −91.8027 57.6835i −1.66914 1.04879i
\(56\) 79.0821 + 8.91041i 1.41218 + 0.159115i
\(57\) 12.8752i 0.225880i
\(58\) 83.0596 56.9991i 1.43206 0.982744i
\(59\) −1.15807 −0.0196282 −0.00981412 0.999952i \(-0.503124\pi\)
−0.00981412 + 0.999952i \(0.503124\pi\)
\(60\) 3.16578 28.0971i 0.0527630 0.468284i
\(61\) −12.3983 + 19.7319i −0.203252 + 0.323473i −0.932759 0.360499i \(-0.882606\pi\)
0.729508 + 0.683972i \(0.239749\pi\)
\(62\) −175.332 40.0183i −2.82793 0.645457i
\(63\) −37.9707 + 30.2806i −0.602709 + 0.480644i
\(64\) 47.4922 + 37.8737i 0.742065 + 0.591777i
\(65\) −19.5020 85.4439i −0.300031 1.31452i
\(66\) −13.4832 + 38.5328i −0.204291 + 0.583831i
\(67\) 2.18892 + 4.54533i 0.0326704 + 0.0678408i 0.916665 0.399656i \(-0.130870\pi\)
−0.883995 + 0.467497i \(0.845156\pi\)
\(68\) −6.56815 10.4531i −0.0965904 0.153723i
\(69\) 1.57217 + 4.49299i 0.0227850 + 0.0651158i
\(70\) −78.6963 + 78.6963i −1.12423 + 1.12423i
\(71\) 12.0075 24.9339i 0.169120 0.351181i −0.799133 0.601155i \(-0.794708\pi\)
0.968253 + 0.249973i \(0.0804219\pi\)
\(72\) 120.993 13.6327i 1.68047 0.189343i
\(73\) −8.52973 75.7035i −0.116846 1.03703i −0.906128 0.423004i \(-0.860976\pi\)
0.789282 0.614030i \(-0.210453\pi\)
\(74\) −5.50374 2.65046i −0.0743749 0.0358170i
\(75\) 3.19835 + 3.19835i 0.0426447 + 0.0426447i
\(76\) 159.030 55.6472i 2.09251 0.732200i
\(77\) 90.9547 57.1506i 1.18123 0.742216i
\(78\) −29.7315 + 14.3180i −0.381174 + 0.183564i
\(79\) 27.2780 + 9.54499i 0.345291 + 0.120823i 0.497353 0.867548i \(-0.334305\pi\)
−0.152062 + 0.988371i \(0.548591\pi\)
\(80\) 93.1433 21.2594i 1.16429 0.265742i
\(81\) −44.1964 + 55.4205i −0.545635 + 0.684204i
\(82\) 0.608115 + 0.762553i 0.00741604 + 0.00929942i
\(83\) −5.13309 + 22.4895i −0.0618444 + 0.270958i −0.996391 0.0848828i \(-0.972948\pi\)
0.934546 + 0.355841i \(0.115806\pi\)
\(84\) 23.7198 + 14.9042i 0.282379 + 0.177430i
\(85\) 8.64858 + 0.974461i 0.101748 + 0.0114642i
\(86\) 57.7154i 0.671109i
\(87\) 17.6680 2.71789i 0.203080 0.0312401i
\(88\) −269.308 −3.06032
\(89\) 8.12973 72.1533i 0.0913453 0.810712i −0.861604 0.507581i \(-0.830540\pi\)
0.952949 0.303130i \(-0.0980318\pi\)
\(90\) −90.5923 + 144.177i −1.00658 + 1.60196i
\(91\) 84.6546 + 19.3219i 0.930271 + 0.212328i
\(92\) −48.7012 + 38.8379i −0.529361 + 0.422151i
\(93\) −24.9506 19.8974i −0.268286 0.213951i
\(94\) −2.38966 10.4698i −0.0254219 0.111381i
\(95\) −39.2304 + 112.114i −0.412951 + 1.18015i
\(96\) −0.497172 1.03239i −0.00517888 0.0107541i
\(97\) 65.8679 + 104.828i 0.679051 + 1.08070i 0.991416 + 0.130742i \(0.0417358\pi\)
−0.312365 + 0.949962i \(0.601121\pi\)
\(98\) 19.7983 + 56.5803i 0.202024 + 0.577350i
\(99\) 116.212 116.212i 1.17386 1.17386i
\(100\) −25.6817 + 53.3286i −0.256817 + 0.533286i
\(101\) −137.817 + 15.5282i −1.36452 + 0.153745i −0.763666 0.645612i \(-0.776602\pi\)
−0.600857 + 0.799357i \(0.705174\pi\)
\(102\) −0.366913 3.25645i −0.00359719 0.0319259i
\(103\) −86.6685 41.7374i −0.841442 0.405217i −0.0370482 0.999313i \(-0.511795\pi\)
−0.804394 + 0.594096i \(0.797510\pi\)
\(104\) −153.932 153.932i −1.48012 1.48012i
\(105\) −18.6409 + 6.52274i −0.177533 + 0.0621213i
\(106\) −147.979 + 92.9811i −1.39602 + 0.877180i
\(107\) 125.260 60.3222i 1.17066 0.563759i 0.255481 0.966814i \(-0.417766\pi\)
0.915176 + 0.403055i \(0.132052\pi\)
\(108\) 82.6931 + 28.9356i 0.765677 + 0.267922i
\(109\) −120.620 + 27.5306i −1.10660 + 0.252575i −0.736514 0.676422i \(-0.763529\pi\)
−0.370087 + 0.928997i \(0.620672\pi\)
\(110\) 234.818 294.452i 2.13471 2.67684i
\(111\) −0.675860 0.847502i −0.00608883 0.00763515i
\(112\) −21.0630 + 92.2829i −0.188062 + 0.823954i
\(113\) 177.502 + 111.532i 1.57082 + 0.987010i 0.984182 + 0.177159i \(0.0566907\pi\)
0.586636 + 0.809851i \(0.300452\pi\)
\(114\) 44.4428 + 5.00750i 0.389849 + 0.0439254i
\(115\) 43.9143i 0.381864i
\(116\) 109.933 + 206.483i 0.947695 + 1.78003i
\(117\) 132.850 1.13547
\(118\) 0.450403 3.99744i 0.00381698 0.0338766i
\(119\) −4.58766 + 7.30123i −0.0385518 + 0.0613548i
\(120\) 48.2712 + 11.0176i 0.402260 + 0.0918132i
\(121\) −189.601 + 151.202i −1.56695 + 1.24960i
\(122\) −63.2888 50.4711i −0.518761 0.413698i
\(123\) 0.0385130 + 0.168736i 0.000313114 + 0.00137184i
\(124\) 137.930 394.181i 1.11234 3.17888i
\(125\) 43.5784 + 90.4914i 0.348627 + 0.723931i
\(126\) −89.7554 142.845i −0.712345 1.13369i
\(127\) 2.47109 + 7.06196i 0.0194574 + 0.0556059i 0.953202 0.302333i \(-0.0977654\pi\)
−0.933745 + 0.357939i \(0.883480\pi\)
\(128\) −154.462 + 154.462i −1.20674 + 1.20674i
\(129\) 4.44369 9.22743i 0.0344472 0.0715304i
\(130\) 302.522 34.0861i 2.32709 0.262200i
\(131\) −2.15703 19.1442i −0.0164659 0.146139i 0.982789 0.184731i \(-0.0591413\pi\)
−0.999255 + 0.0385920i \(0.987713\pi\)
\(132\) −85.4105 41.1315i −0.647049 0.311603i
\(133\) −83.2139 83.2139i −0.625668 0.625668i
\(134\) −16.5410 + 5.78795i −0.123440 + 0.0431937i
\(135\) −52.2965 + 32.8600i −0.387381 + 0.243408i
\(136\) 19.4774 9.37980i 0.143216 0.0689691i
\(137\) −61.9941 21.6927i −0.452512 0.158341i 0.0943939 0.995535i \(-0.469909\pi\)
−0.546906 + 0.837194i \(0.684194\pi\)
\(138\) −16.1205 + 3.67939i −0.116815 + 0.0266623i
\(139\) 112.699 141.319i 0.810781 1.01669i −0.188619 0.982050i \(-0.560401\pi\)
0.999400 0.0346367i \(-0.0110274\pi\)
\(140\) −161.134 202.056i −1.15096 1.44326i
\(141\) 0.424049 1.85788i 0.00300744 0.0131764i
\(142\) 81.3972 + 51.1453i 0.573220 + 0.360178i
\(143\) −291.992 32.8996i −2.04190 0.230067i
\(144\) 144.821i 1.00570i
\(145\) −162.130 30.1672i −1.11814 0.208050i
\(146\) 264.632 1.81255
\(147\) −1.19099 + 10.5703i −0.00810195 + 0.0719068i
\(148\) 7.54701 12.0110i 0.0509933 0.0811554i
\(149\) −193.555 44.1777i −1.29903 0.296495i −0.483568 0.875307i \(-0.660659\pi\)
−0.815461 + 0.578812i \(0.803516\pi\)
\(150\) −12.2841 + 9.79621i −0.0818938 + 0.0653081i
\(151\) 55.9613 + 44.6277i 0.370605 + 0.295547i 0.791027 0.611781i \(-0.209547\pi\)
−0.420422 + 0.907329i \(0.638118\pi\)
\(152\) 65.6520 + 287.640i 0.431921 + 1.89237i
\(153\) −4.35731 + 12.4525i −0.0284792 + 0.0813888i
\(154\) 161.899 + 336.187i 1.05129 + 2.18303i
\(155\) 156.637 + 249.286i 1.01056 + 1.60830i
\(156\) −25.3092 72.3294i −0.162238 0.463650i
\(157\) 52.5972 52.5972i 0.335014 0.335014i −0.519473 0.854487i \(-0.673872\pi\)
0.854487 + 0.519473i \(0.173872\pi\)
\(158\) −43.5568 + 90.4465i −0.275676 + 0.572446i
\(159\) −30.8175 + 3.47229i −0.193821 + 0.0218383i
\(160\) 1.18359 + 10.5047i 0.00739746 + 0.0656543i
\(161\) 39.1999 + 18.8777i 0.243478 + 0.117253i
\(162\) −174.113 174.113i −1.07477 1.07477i
\(163\) 211.039 73.8456i 1.29471 0.453040i 0.406998 0.913429i \(-0.366576\pi\)
0.887717 + 0.460389i \(0.152290\pi\)
\(164\) −1.91773 + 1.20499i −0.0116935 + 0.00734750i
\(165\) 60.2131 28.9971i 0.364928 0.175740i
\(166\) −75.6335 26.4653i −0.455623 0.159430i
\(167\) −52.3830 + 11.9561i −0.313671 + 0.0715933i −0.376458 0.926434i \(-0.622858\pi\)
0.0627875 + 0.998027i \(0.480001\pi\)
\(168\) −30.5854 + 38.3529i −0.182056 + 0.228291i
\(169\) −42.7232 53.5732i −0.252800 0.317001i
\(170\) −6.72733 + 29.4744i −0.0395726 + 0.173379i
\(171\) −152.453 95.7927i −0.891540 0.560191i
\(172\) 133.181 + 15.0058i 0.774306 + 0.0872433i
\(173\) 271.306i 1.56824i 0.620606 + 0.784122i \(0.286886\pi\)
−0.620606 + 0.784122i \(0.713114\pi\)
\(174\) 2.51012 + 62.0437i 0.0144260 + 0.356573i
\(175\) 41.3428 0.236244
\(176\) 35.8642 318.303i 0.203774 1.80854i
\(177\) 0.379786 0.604426i 0.00214568 0.00341483i
\(178\) 245.899 + 56.1248i 1.38145 + 0.315308i
\(179\) 153.672 122.550i 0.858504 0.684634i −0.0918605 0.995772i \(-0.529281\pi\)
0.950365 + 0.311137i \(0.100710\pi\)
\(180\) −309.140 246.531i −1.71745 1.36962i
\(181\) 14.9903 + 65.6768i 0.0828193 + 0.362855i 0.999308 0.0372064i \(-0.0118459\pi\)
−0.916488 + 0.400062i \(0.868989\pi\)
\(182\) −99.6201 + 284.698i −0.547363 + 1.56427i
\(183\) −6.23256 12.9420i −0.0340577 0.0707216i
\(184\) −58.0336 92.3600i −0.315400 0.501956i
\(185\) 3.30292 + 9.43919i 0.0178536 + 0.0510227i
\(186\) 78.3863 78.3863i 0.421432 0.421432i
\(187\) 12.6607 26.2903i 0.0677045 0.140590i
\(188\) 24.7808 2.79212i 0.131813 0.0148517i
\(189\) −6.85141 60.8080i −0.0362509 0.321735i
\(190\) −371.740 179.020i −1.95653 0.942213i
\(191\) −47.0321 47.0321i −0.246241 0.246241i 0.573185 0.819426i \(-0.305708\pi\)
−0.819426 + 0.573185i \(0.805708\pi\)
\(192\) −35.3423 + 12.3668i −0.184074 + 0.0644104i
\(193\) 217.923 136.930i 1.12914 0.709483i 0.168063 0.985776i \(-0.446249\pi\)
0.961073 + 0.276293i \(0.0891061\pi\)
\(194\) −387.466 + 186.594i −1.99725 + 0.961824i
\(195\) 50.9911 + 17.8426i 0.261493 + 0.0915003i
\(196\) −135.709 + 30.9747i −0.692393 + 0.158034i
\(197\) 33.8518 42.4488i 0.171837 0.215476i −0.688454 0.725280i \(-0.741710\pi\)
0.860291 + 0.509803i \(0.170282\pi\)
\(198\) 355.946 + 446.342i 1.79771 + 2.25425i
\(199\) −14.0003 + 61.3394i −0.0703533 + 0.308238i −0.997846 0.0656039i \(-0.979103\pi\)
0.927492 + 0.373842i \(0.121960\pi\)
\(200\) −87.7622 55.1447i −0.438811 0.275723i
\(201\) −3.09018 0.348180i −0.0153740 0.00173224i
\(202\) 481.759i 2.38494i
\(203\) 96.6244 131.757i 0.475982 0.649047i
\(204\) 7.60978 0.0373029
\(205\) 0.178774 1.58667i 0.000872070 0.00773983i
\(206\) 177.778 282.932i 0.862999 1.37345i
\(207\) 64.8981 + 14.8126i 0.313517 + 0.0715583i
\(208\) 202.436 161.438i 0.973252 0.776143i
\(209\) 311.355 + 248.297i 1.48974 + 1.18803i
\(210\) −15.2654 66.8820i −0.0726923 0.318486i
\(211\) −15.5911 + 44.5567i −0.0738913 + 0.211169i −0.974905 0.222622i \(-0.928539\pi\)
0.901014 + 0.433791i \(0.142824\pi\)
\(212\) −176.084 365.642i −0.830583 1.72472i
\(213\) 9.07580 + 14.4440i 0.0426094 + 0.0678124i
\(214\) 159.504 + 455.837i 0.745348 + 2.13008i
\(215\) −66.8105 + 66.8105i −0.310746 + 0.310746i
\(216\) −66.5640 + 138.222i −0.308167 + 0.639915i
\(217\) −289.859 + 32.6592i −1.33575 + 0.150503i
\(218\) −48.1186 427.065i −0.220728 1.95901i
\(219\) 42.3090 + 20.3749i 0.193192 + 0.0930362i
\(220\) 618.408 + 618.408i 2.81095 + 2.81095i
\(221\) 22.2638 7.79044i 0.100741 0.0352508i
\(222\) 3.18829 2.00333i 0.0143617 0.00902402i
\(223\) 261.957 126.152i 1.17469 0.565702i 0.258333 0.966056i \(-0.416827\pi\)
0.916361 + 0.400354i \(0.131113\pi\)
\(224\) −9.88576 3.45918i −0.0441329 0.0154428i
\(225\) 61.6674 14.0752i 0.274077 0.0625564i
\(226\) −454.025 + 569.329i −2.00896 + 2.51915i
\(227\) −34.4220 43.1638i −0.151639 0.190149i 0.700210 0.713937i \(-0.253090\pi\)
−0.851849 + 0.523788i \(0.824518\pi\)
\(228\) −23.1100 + 101.252i −0.101360 + 0.444086i
\(229\) −221.885 139.419i −0.968928 0.608818i −0.0481232 0.998841i \(-0.515324\pi\)
−0.920805 + 0.390024i \(0.872467\pi\)
\(230\) 151.584 + 17.0795i 0.659063 + 0.0742585i
\(231\) 66.2141i 0.286641i
\(232\) −380.856 + 150.811i −1.64162 + 0.650046i
\(233\) −241.002 −1.03434 −0.517172 0.855881i \(-0.673015\pi\)
−0.517172 + 0.855881i \(0.673015\pi\)
\(234\) −51.6690 + 458.575i −0.220808 + 1.95972i
\(235\) −9.35344 + 14.8859i −0.0398019 + 0.0633443i
\(236\) 9.10716 + 2.07865i 0.0385896 + 0.00880783i
\(237\) −13.9276 + 11.1069i −0.0587660 + 0.0468644i
\(238\) −23.4183 18.6754i −0.0983961 0.0784683i
\(239\) −61.9514 271.427i −0.259211 1.13568i −0.922098 0.386957i \(-0.873526\pi\)
0.662887 0.748720i \(-0.269331\pi\)
\(240\) −19.4504 + 55.5859i −0.0810431 + 0.231608i
\(241\) −80.8324 167.850i −0.335404 0.696474i 0.663247 0.748401i \(-0.269178\pi\)
−0.998651 + 0.0519267i \(0.983464\pi\)
\(242\) −448.181 713.276i −1.85199 2.94742i
\(243\) −46.7161 133.507i −0.192247 0.549411i
\(244\) 132.919 132.919i 0.544751 0.544751i
\(245\) 42.5784 88.4149i 0.173789 0.360877i
\(246\) −0.597427 + 0.0673138i −0.00242856 + 0.000273633i
\(247\) 36.0428 + 319.888i 0.145922 + 1.29509i
\(248\) 658.874 + 317.297i 2.65675 + 1.27942i
\(249\) −10.0545 10.0545i −0.0403795 0.0403795i
\(250\) −329.309 + 115.230i −1.31724 + 0.460921i
\(251\) −213.340 + 134.050i −0.849959 + 0.534065i −0.885145 0.465316i \(-0.845941\pi\)
0.0351854 + 0.999381i \(0.488798\pi\)
\(252\) 352.957 169.975i 1.40062 0.674504i
\(253\) −138.972 48.6282i −0.549294 0.192206i
\(254\) −25.3377 + 5.78316i −0.0997547 + 0.0227684i
\(255\) −3.34488 + 4.19435i −0.0131172 + 0.0164484i
\(256\) −321.607 403.282i −1.25628 1.57532i
\(257\) 25.8837 113.404i 0.100715 0.441260i −0.899278 0.437378i \(-0.855907\pi\)
0.999992 0.00388207i \(-0.00123570\pi\)
\(258\) 30.1232 + 18.9276i 0.116756 + 0.0733629i
\(259\) −9.84570 1.10934i −0.0380143 0.00428318i
\(260\) 706.945i 2.71902i
\(261\) 99.2696 229.426i 0.380343 0.879026i
\(262\) 66.9212 0.255424
\(263\) 16.7924 149.037i 0.0638495 0.566680i −0.920536 0.390657i \(-0.872248\pi\)
0.984386 0.176023i \(-0.0563234\pi\)
\(264\) 88.3191 140.559i 0.334542 0.532421i
\(265\) 278.932 + 63.6643i 1.05257 + 0.240243i
\(266\) 319.604 254.876i 1.20152 0.958179i
\(267\) 34.9926 + 27.9057i 0.131058 + 0.104516i
\(268\) −9.05532 39.6739i −0.0337885 0.148037i
\(269\) −142.154 + 406.254i −0.528455 + 1.51024i 0.302087 + 0.953280i \(0.402317\pi\)
−0.830542 + 0.556957i \(0.811969\pi\)
\(270\) −93.0876 193.298i −0.344769 0.715920i
\(271\) 145.351 + 231.324i 0.536349 + 0.853595i 0.999465 0.0327029i \(-0.0104115\pi\)
−0.463116 + 0.886298i \(0.653269\pi\)
\(272\) 8.49243 + 24.2700i 0.0312222 + 0.0892279i
\(273\) −37.8469 + 37.8469i −0.138633 + 0.138633i
\(274\) 98.9905 205.556i 0.361279 0.750204i
\(275\) −139.025 + 15.6643i −0.505544 + 0.0569612i
\(276\) −4.29907 38.1553i −0.0155763 0.138244i
\(277\) 402.718 + 193.939i 1.45385 + 0.700139i 0.983260 0.182210i \(-0.0583251\pi\)
0.470595 + 0.882349i \(0.344039\pi\)
\(278\) 443.978 + 443.978i 1.59704 + 1.59704i
\(279\) −421.238 + 147.398i −1.50982 + 0.528307i
\(280\) 383.191 240.775i 1.36854 0.859911i
\(281\) 146.043 70.3308i 0.519728 0.250288i −0.155581 0.987823i \(-0.549725\pi\)
0.675308 + 0.737536i \(0.264011\pi\)
\(282\) 6.24814 + 2.18632i 0.0221565 + 0.00775291i
\(283\) −423.259 + 96.6060i −1.49561 + 0.341364i −0.890577 0.454833i \(-0.849699\pi\)
−0.605037 + 0.796197i \(0.706842\pi\)
\(284\) −139.183 + 174.530i −0.490081 + 0.614542i
\(285\) −45.6497 57.2429i −0.160174 0.200852i
\(286\) 227.127 995.109i 0.794150 3.47940i
\(287\) 1.33948 + 0.841651i 0.00466718 + 0.00293258i
\(288\) −15.9234 1.79414i −0.0552897 0.00622965i
\(289\) 286.658i 0.991895i
\(290\) 167.189 547.911i 0.576513 1.88935i
\(291\) −76.3139 −0.262247
\(292\) −68.8038 + 610.650i −0.235629 + 2.09127i
\(293\) 103.800 165.197i 0.354268 0.563814i −0.621284 0.783586i \(-0.713389\pi\)
0.975551 + 0.219772i \(0.0705314\pi\)
\(294\) −36.0236 8.22215i −0.122529 0.0279665i
\(295\) −5.14876 + 4.10600i −0.0174534 + 0.0139186i
\(296\) 19.4207 + 15.4875i 0.0656106 + 0.0523227i
\(297\) 46.0790 + 201.885i 0.155148 + 0.679748i
\(298\) 227.773 650.937i 0.764337 2.18435i
\(299\) −51.6388 107.229i −0.172705 0.358625i
\(300\) −19.4113 30.8930i −0.0647045 0.102977i
\(301\) −30.9179 88.3583i −0.102717 0.293549i
\(302\) −175.812 + 175.812i −0.582158 + 0.582158i
\(303\) 37.0922 77.0227i 0.122416 0.254200i
\(304\) −348.714 + 39.2906i −1.14708 + 0.129245i
\(305\) 14.8376 + 131.687i 0.0486477 + 0.431760i
\(306\) −41.2891 19.8838i −0.134932 0.0649797i
\(307\) 257.664 + 257.664i 0.839297 + 0.839297i 0.988766 0.149470i \(-0.0477567\pi\)
−0.149470 + 0.988766i \(0.547757\pi\)
\(308\) −817.859 + 286.181i −2.65538 + 0.929159i
\(309\) 50.2066 31.5469i 0.162481 0.102094i
\(310\) −921.412 + 443.729i −2.97230 + 1.43138i
\(311\) −121.145 42.3903i −0.389532 0.136303i 0.128405 0.991722i \(-0.459014\pi\)
−0.517937 + 0.855419i \(0.673300\pi\)
\(312\) 130.823 29.8595i 0.419305 0.0957036i
\(313\) −32.1822 + 40.3552i −0.102819 + 0.128930i −0.830579 0.556902i \(-0.811990\pi\)
0.727760 + 0.685832i \(0.240561\pi\)
\(314\) 161.100 + 202.013i 0.513056 + 0.643352i
\(315\) −61.4557 + 269.255i −0.195097 + 0.854778i
\(316\) −197.384 124.025i −0.624634 0.392484i
\(317\) 9.36162 + 1.05480i 0.0295319 + 0.00332745i 0.126718 0.991939i \(-0.459556\pi\)
−0.0971862 + 0.995266i \(0.530984\pi\)
\(318\) 107.727i 0.338764i
\(319\) −275.001 + 479.672i −0.862072 + 1.50367i
\(320\) 345.434 1.07948
\(321\) −9.59514 + 85.1592i −0.0298914 + 0.265293i
\(322\) −80.4084 + 127.969i −0.249715 + 0.397420i
\(323\) −31.1664 7.11352i −0.0964903 0.0220233i
\(324\) 447.041 356.503i 1.37976 1.10032i
\(325\) −88.4178 70.5108i −0.272055 0.216956i
\(326\) 172.823 + 757.188i 0.530133 + 2.32266i
\(327\) 25.1880 71.9831i 0.0770275 0.220132i
\(328\) −1.72081 3.57331i −0.00524639 0.0108942i
\(329\) −9.26704 14.7484i −0.0281673 0.0448280i
\(330\) 76.6743 + 219.123i 0.232346 + 0.664008i
\(331\) 258.506 258.506i 0.780985 0.780985i −0.199012 0.979997i \(-0.563773\pi\)
0.979997 + 0.199012i \(0.0637733\pi\)
\(332\) 80.7343 167.646i 0.243176 0.504959i
\(333\) −15.0637 + 1.69727i −0.0452362 + 0.00509690i
\(334\) −20.8971 185.467i −0.0625661 0.555290i
\(335\) 25.8477 + 12.4476i 0.0771573 + 0.0371570i
\(336\) −41.2573 41.2573i −0.122790 0.122790i
\(337\) 293.050 102.543i 0.869584 0.304281i 0.141641 0.989918i \(-0.454762\pi\)
0.727943 + 0.685637i \(0.240476\pi\)
\(338\) 201.541 126.637i 0.596276 0.374665i
\(339\) −116.423 + 56.0664i −0.343431 + 0.165388i
\(340\) −66.2643 23.1869i −0.194895 0.0681967i
\(341\) 962.344 219.649i 2.82212 0.644131i
\(342\) 389.953 488.985i 1.14021 1.42978i
\(343\) 232.748 + 291.856i 0.678564 + 0.850893i
\(344\) −52.2235 + 228.806i −0.151813 + 0.665135i
\(345\) 22.9200 + 14.4016i 0.0664349 + 0.0417438i
\(346\) −936.501 105.518i −2.70665 0.304966i
\(347\) 110.260i 0.317751i 0.987299 + 0.158876i \(0.0507869\pi\)
−0.987299 + 0.158876i \(0.949213\pi\)
\(348\) −143.821 10.3390i −0.413279 0.0297098i
\(349\) −132.174 −0.378722 −0.189361 0.981908i \(-0.560642\pi\)
−0.189361 + 0.981908i \(0.560642\pi\)
\(350\) −16.0793 + 142.708i −0.0459409 + 0.407737i
\(351\) −89.0563 + 141.732i −0.253722 + 0.403796i
\(352\) 34.5538 + 7.88669i 0.0981643 + 0.0224054i
\(353\) −50.9851 + 40.6592i −0.144434 + 0.115182i −0.693041 0.720898i \(-0.743730\pi\)
0.548608 + 0.836080i \(0.315158\pi\)
\(354\) 1.93866 + 1.54603i 0.00547644 + 0.00436732i
\(355\) −35.0192 153.429i −0.0986457 0.432195i
\(356\) −193.443 + 552.829i −0.543380 + 1.55289i
\(357\) −2.30619 4.78885i −0.00645991 0.0134141i
\(358\) 363.252 + 578.112i 1.01467 + 1.61484i
\(359\) −109.932 314.168i −0.306218 0.875120i −0.989444 0.144914i \(-0.953710\pi\)
0.683227 0.730206i \(-0.260576\pi\)
\(360\) 489.601 489.601i 1.36000 1.36000i
\(361\) 32.6651 67.8297i 0.0904850 0.187894i
\(362\) −232.535 + 26.2004i −0.642361 + 0.0723767i
\(363\) −16.7369 148.544i −0.0461072 0.409213i
\(364\) −631.051 303.898i −1.73366 0.834885i
\(365\) −306.335 306.335i −0.839274 0.839274i
\(366\) 47.0977 16.4802i 0.128682 0.0450278i
\(367\) 156.576 98.3835i 0.426639 0.268075i −0.301552 0.953450i \(-0.597505\pi\)
0.728190 + 0.685375i \(0.240362\pi\)
\(368\) 116.891 56.2919i 0.317640 0.152967i
\(369\) 2.28453 + 0.799391i 0.00619113 + 0.00216637i
\(370\) −33.8670 + 7.72992i −0.0915324 + 0.0208917i
\(371\) −176.736 + 221.619i −0.476376 + 0.597357i
\(372\) 160.499 + 201.260i 0.431450 + 0.541022i
\(373\) −132.214 + 579.268i −0.354462 + 1.55300i 0.412289 + 0.911053i \(0.364729\pi\)
−0.766751 + 0.641945i \(0.778128\pi\)
\(374\) 85.8253 + 53.9276i 0.229480 + 0.144192i
\(375\) −61.5213 6.93179i −0.164057 0.0184848i
\(376\) 43.6686i 0.116140i
\(377\) −431.359 + 116.987i −1.14419 + 0.310310i
\(378\) 212.563 0.562336
\(379\) 50.6720 449.726i 0.133699 1.18661i −0.730302 0.683124i \(-0.760621\pi\)
0.864002 0.503489i \(-0.167951\pi\)
\(380\) 509.749 811.260i 1.34144 2.13490i
\(381\) −4.49621 1.02623i −0.0118011 0.00269352i
\(382\) 180.638 144.054i 0.472875 0.377105i
\(383\) −546.226 435.601i −1.42618 1.13734i −0.968734 0.248100i \(-0.920194\pi\)
−0.457443 0.889239i \(-0.651235\pi\)
\(384\) −29.9623 131.274i −0.0780269 0.341858i
\(385\) 201.753 576.577i 0.524034 1.49760i
\(386\) 387.903 + 805.488i 1.00493 + 2.08676i
\(387\) −76.1993 121.270i −0.196897 0.313360i
\(388\) −329.833 942.609i −0.850085 2.42940i
\(389\) 290.889 290.889i 0.747786 0.747786i −0.226277 0.974063i \(-0.572655\pi\)
0.974063 + 0.226277i \(0.0726554\pi\)
\(390\) −81.4211 + 169.073i −0.208772 + 0.433520i
\(391\) 11.7446 1.32330i 0.0300374 0.00338440i
\(392\) −27.2918 242.221i −0.0696218 0.617911i
\(393\) 10.6992 + 5.15248i 0.0272245 + 0.0131106i
\(394\) 133.360 + 133.360i 0.338477 + 0.338477i
\(395\) 155.120 54.2790i 0.392710 0.137415i
\(396\) −1122.50 + 705.312i −2.83459 + 1.78109i
\(397\) −331.592 + 159.686i −0.835245 + 0.402233i −0.802080 0.597217i \(-0.796273\pi\)
−0.0331653 + 0.999450i \(0.510559\pi\)
\(398\) −206.288 72.1831i −0.518310 0.181365i
\(399\) 70.7214 16.1417i 0.177247 0.0404554i
\(400\) 76.8646 96.3851i 0.192161 0.240963i
\(401\) −337.498 423.209i −0.841641 1.05538i −0.997710 0.0676387i \(-0.978453\pi\)
0.156068 0.987746i \(-0.450118\pi\)
\(402\) 2.40371 10.5313i 0.00597938 0.0261974i
\(403\) 675.608 + 424.513i 1.67645 + 1.05338i
\(404\) 1111.68 + 125.256i 2.75168 + 0.310040i
\(405\) 403.101i 0.995311i
\(406\) 417.220 + 384.774i 1.02764 + 0.947719i
\(407\) 33.5288 0.0823803
\(408\) −1.49200 + 13.2418i −0.00365685 + 0.0324555i
\(409\) 70.7312 112.568i 0.172937 0.275227i −0.748998 0.662572i \(-0.769465\pi\)
0.921935 + 0.387345i \(0.126608\pi\)
\(410\) 5.40736 + 1.23419i 0.0131887 + 0.00301023i
\(411\) 31.6528 25.2423i 0.0770142 0.0614168i
\(412\) 606.655 + 483.791i 1.47246 + 1.17425i
\(413\) −1.45188 6.36109i −0.00351544 0.0154022i
\(414\) −76.3710 + 218.256i −0.184471 + 0.527188i
\(415\) 56.9164 + 118.188i 0.137148 + 0.284791i
\(416\) 15.2425 + 24.2583i 0.0366407 + 0.0583133i
\(417\) 36.7991 + 105.166i 0.0882473 + 0.252196i
\(418\) −978.173 + 978.173i −2.34013 + 2.34013i
\(419\) −236.230 + 490.537i −0.563795 + 1.17073i 0.403004 + 0.915198i \(0.367966\pi\)
−0.966800 + 0.255535i \(0.917748\pi\)
\(420\) 158.302 17.8364i 0.376910 0.0424675i
\(421\) 12.9846 + 115.241i 0.0308422 + 0.273732i 0.999663 + 0.0259687i \(0.00826704\pi\)
−0.968821 + 0.247764i \(0.920304\pi\)
\(422\) −147.738 71.1469i −0.350090 0.168594i
\(423\) −18.8439 18.8439i −0.0445483 0.0445483i
\(424\) 670.779 234.716i 1.58203 0.553575i
\(425\) 9.50920 5.97503i 0.0223746 0.0140589i
\(426\) −53.3881 + 25.7104i −0.125324 + 0.0603530i
\(427\) −123.928 43.3643i −0.290230 0.101556i
\(428\) −1093.33 + 249.546i −2.55452 + 0.583052i
\(429\) 112.929 141.609i 0.263239 0.330091i
\(430\) −204.634 256.602i −0.475892 0.596750i
\(431\) 99.9880 438.076i 0.231991 1.01642i −0.715995 0.698105i \(-0.754027\pi\)
0.947986 0.318312i \(-0.103116\pi\)
\(432\) −154.504 97.0812i −0.357648 0.224725i
\(433\) −23.7882 2.68029i −0.0549382 0.00619004i 0.0844526 0.996427i \(-0.473086\pi\)
−0.139391 + 0.990237i \(0.544514\pi\)
\(434\) 1013.24i 2.33466i
\(435\) 68.9153 74.7267i 0.158426 0.171785i
\(436\) 997.980 2.28895
\(437\) −18.0599 + 160.286i −0.0413270 + 0.366787i
\(438\) −86.7857 + 138.119i −0.198141 + 0.315339i
\(439\) 467.042 + 106.599i 1.06388 + 0.242823i 0.718418 0.695612i \(-0.244866\pi\)
0.345458 + 0.938434i \(0.387724\pi\)
\(440\) −1197.34 + 954.850i −2.72124 + 2.17011i
\(441\) 116.301 + 92.7466i 0.263720 + 0.210310i
\(442\) 18.2322 + 79.8806i 0.0412494 + 0.180725i
\(443\) 122.406 349.816i 0.276311 0.789653i −0.719182 0.694822i \(-0.755483\pi\)
0.995493 0.0948309i \(-0.0302310\pi\)
\(444\) 3.79383 + 7.87797i 0.00854466 + 0.0177432i
\(445\) −219.680 349.618i −0.493662 0.785659i
\(446\) 333.571 + 953.292i 0.747917 + 2.13742i
\(447\) 86.5336 86.5336i 0.193587 0.193587i
\(448\) −148.494 + 308.350i −0.331459 + 0.688282i
\(449\) 320.265 36.0852i 0.713285 0.0803679i 0.252138 0.967691i \(-0.418866\pi\)
0.461148 + 0.887323i \(0.347438\pi\)
\(450\) 24.6009 + 218.339i 0.0546687 + 0.485198i
\(451\) −4.82321 2.32274i −0.0106945 0.00515019i
\(452\) −1195.70 1195.70i −2.64536 2.64536i
\(453\) −41.6448 + 14.5721i −0.0919310 + 0.0321681i
\(454\) 162.382 102.031i 0.357669 0.224738i
\(455\) 444.881 214.244i 0.977761 0.470865i
\(456\) −171.658 60.0656i −0.376442 0.131723i
\(457\) −259.574 + 59.2460i −0.567995 + 0.129641i −0.496868 0.867826i \(-0.665517\pi\)
−0.0711271 + 0.997467i \(0.522660\pi\)
\(458\) 567.548 711.682i 1.23919 1.55389i
\(459\) −10.3641 12.9962i −0.0225797 0.0283141i
\(460\) −78.8231 + 345.347i −0.171355 + 0.750754i
\(461\) −476.625 299.484i −1.03389 0.649639i −0.0955801 0.995422i \(-0.530471\pi\)
−0.938315 + 0.345783i \(0.887613\pi\)
\(462\) −228.559 25.7524i −0.494717 0.0557412i
\(463\) 475.767i 1.02757i 0.857918 + 0.513787i \(0.171758\pi\)
−0.857918 + 0.513787i \(0.828242\pi\)
\(464\) −127.528 470.229i −0.274846 1.01342i
\(465\) −181.478 −0.390275
\(466\) 93.7323 831.897i 0.201142 1.78519i
\(467\) −446.325 + 710.323i −0.955729 + 1.52103i −0.105633 + 0.994405i \(0.533687\pi\)
−0.850095 + 0.526629i \(0.823456\pi\)
\(468\) −1044.75 238.457i −2.23237 0.509523i
\(469\) −22.2226 + 17.7219i −0.0473829 + 0.0377866i
\(470\) −47.7457 38.0760i −0.101587 0.0810127i
\(471\) 10.2027 + 44.7010i 0.0216618 + 0.0949066i
\(472\) −5.40265 + 15.4399i −0.0114463 + 0.0327116i
\(473\) 137.447 + 285.411i 0.290585 + 0.603406i
\(474\) −32.9221 52.3952i −0.0694559 0.110538i
\(475\) 50.6221 + 144.670i 0.106573 + 0.304568i
\(476\) 49.1831 49.1831i 0.103326 0.103326i
\(477\) −188.171 + 390.740i −0.394488 + 0.819162i
\(478\) 961.011 108.280i 2.01048 0.226527i
\(479\) 67.6166 + 600.114i 0.141162 + 1.25285i 0.841981 + 0.539508i \(0.181390\pi\)
−0.700818 + 0.713340i \(0.747182\pi\)
\(480\) −5.87083 2.82724i −0.0122309 0.00589009i
\(481\) 19.1645 + 19.1645i 0.0398431 + 0.0398431i
\(482\) 610.827 213.738i 1.26728 0.443439i
\(483\) −22.7083 + 14.2686i −0.0470151 + 0.0295416i
\(484\) 1762.44 848.746i 3.64140 1.75361i
\(485\) 664.524 + 232.527i 1.37015 + 0.479437i
\(486\) 479.011 109.331i 0.985620 0.224961i
\(487\) −154.254 + 193.429i −0.316744 + 0.397185i −0.914561 0.404448i \(-0.867464\pi\)
0.597817 + 0.801633i \(0.296035\pi\)
\(488\) 205.233 + 257.354i 0.420559 + 0.527365i
\(489\) −30.6677 + 134.364i −0.0627152 + 0.274773i
\(490\) 288.633 + 181.360i 0.589046 + 0.370122i
\(491\) 713.303 + 80.3699i 1.45276 + 0.163686i 0.802783 0.596272i \(-0.203352\pi\)
0.649972 + 0.759958i \(0.274780\pi\)
\(492\) 1.39609i 0.00283758i
\(493\) 3.18246 44.2697i 0.00645530 0.0897966i
\(494\) −1118.22 −2.26360
\(495\) 104.641 928.718i 0.211397 1.87620i
\(496\) −462.766 + 736.487i −0.932995 + 1.48485i
\(497\) 152.012 + 34.6957i 0.305859 + 0.0698103i
\(498\) 38.6168 30.7959i 0.0775438 0.0618391i
\(499\) −321.823 256.645i −0.644936 0.514319i 0.245519 0.969392i \(-0.421042\pi\)
−0.890454 + 0.455073i \(0.849613\pi\)
\(500\) −180.279 789.854i −0.360558 1.57971i
\(501\) 10.9387 31.2610i 0.0218338 0.0623973i
\(502\) −379.744 788.547i −0.756462 1.57081i
\(503\) −242.724 386.293i −0.482552 0.767977i 0.513372 0.858166i \(-0.328396\pi\)
−0.995925 + 0.0901884i \(0.971253\pi\)
\(504\) 226.573 + 647.508i 0.449549 + 1.28474i
\(505\) −557.677 + 557.677i −1.10431 + 1.10431i
\(506\) 221.906 460.792i 0.438549 0.910656i
\(507\) 41.9723 4.72914i 0.0827855 0.00932769i
\(508\) −6.75715 59.9714i −0.0133015 0.118054i
\(509\) 99.8145 + 48.0681i 0.196099 + 0.0944364i 0.529356 0.848400i \(-0.322433\pi\)
−0.333257 + 0.942836i \(0.608148\pi\)
\(510\) −13.1772 13.1772i −0.0258377 0.0258377i
\(511\) 405.134 141.763i 0.792827 0.277422i
\(512\) 777.298 488.409i 1.51816 0.953923i
\(513\) 204.395 98.4312i 0.398430 0.191874i
\(514\) 381.383 + 133.452i 0.741991 + 0.259634i
\(515\) −533.311 + 121.725i −1.03555 + 0.236359i
\(516\) −51.5083 + 64.5893i −0.0998222 + 0.125173i
\(517\) 36.7506 + 46.0838i 0.0710843 + 0.0891369i
\(518\) 7.65852 33.5542i 0.0147848 0.0647764i
\(519\) −141.602 88.9744i −0.272836 0.171434i
\(520\) −1230.16 138.606i −2.36569 0.266549i
\(521\) 119.063i 0.228527i 0.993450 + 0.114263i \(0.0364508\pi\)
−0.993450 + 0.114263i \(0.963549\pi\)
\(522\) 753.328 + 431.891i 1.44316 + 0.827377i
\(523\) −995.924 −1.90425 −0.952126 0.305705i \(-0.901108\pi\)
−0.952126 + 0.305705i \(0.901108\pi\)
\(524\) −17.3993 + 154.423i −0.0332049 + 0.294701i
\(525\) −13.5583 + 21.5779i −0.0258253 + 0.0411007i
\(526\) 507.918 + 115.929i 0.965623 + 0.220397i
\(527\) −61.9500 + 49.4035i −0.117552 + 0.0937448i
\(528\) 154.369 + 123.105i 0.292366 + 0.233154i
\(529\) 104.444 + 457.597i 0.197436 + 0.865023i
\(530\) −328.242 + 938.061i −0.619324 + 1.76993i
\(531\) −4.33128 8.99400i −0.00815684 0.0169378i
\(532\) 505.040 + 803.766i 0.949323 + 1.51084i
\(533\) −1.42923 4.08451i −0.00268148 0.00766324i
\(534\) −109.935 + 109.935i −0.205871 + 0.205871i
\(535\) 343.031 712.311i 0.641179 1.33142i
\(536\) 70.8123 7.97863i 0.132112 0.0148855i
\(537\) 13.5653 + 120.396i 0.0252613 + 0.224200i
\(538\) −1347.03 648.695i −2.50377 1.20575i
\(539\) −232.649 232.649i −0.431632 0.431632i
\(540\) 470.246 164.546i 0.870827 0.304715i
\(541\) −416.895 + 261.953i −0.770601 + 0.484201i −0.859057 0.511879i \(-0.828949\pi\)
0.0884564 + 0.996080i \(0.471807\pi\)
\(542\) −855.021 + 411.756i −1.57753 + 0.759698i
\(543\) −39.1945 13.7147i −0.0721814 0.0252574i
\(544\) −2.77375 + 0.633090i −0.00509880 + 0.00116377i
\(545\) −438.663 + 550.066i −0.804886 + 1.00929i
\(546\) −115.921 145.361i −0.212310 0.266228i
\(547\) 145.992 639.634i 0.266896 1.16935i −0.646706 0.762739i \(-0.723854\pi\)
0.913602 0.406609i \(-0.133289\pi\)
\(548\) 448.591 + 281.869i 0.818597 + 0.514359i
\(549\) −199.616 22.4914i −0.363600 0.0409679i
\(550\) 485.981i 0.883602i
\(551\) 579.364 + 176.786i 1.05148 + 0.320846i
\(552\) 67.2371 0.121806
\(553\) −18.2306 + 161.801i −0.0329667 + 0.292587i
\(554\) −826.069 + 1314.68i −1.49110 + 2.37307i
\(555\) −6.00975 1.37169i −0.0108284 0.00247151i
\(556\) −1139.93 + 909.065i −2.05024 + 1.63501i
\(557\) −456.764 364.257i −0.820043 0.653962i 0.120849 0.992671i \(-0.461438\pi\)
−0.940891 + 0.338709i \(0.890010\pi\)
\(558\) −344.960 1511.37i −0.618207 2.70854i
\(559\) −84.5740 + 241.699i −0.151295 + 0.432377i
\(560\) 233.549 + 484.970i 0.417052 + 0.866017i
\(561\) 9.56953 + 15.2298i 0.0170580 + 0.0271476i
\(562\) 185.969 + 531.470i 0.330906 + 0.945676i
\(563\) 240.446 240.446i 0.427080 0.427080i −0.460552 0.887633i \(-0.652349\pi\)
0.887633 + 0.460552i \(0.152349\pi\)
\(564\) −6.66953 + 13.8494i −0.0118254 + 0.0245557i
\(565\) 1184.62 133.475i 2.09667 0.236238i
\(566\) −168.850 1498.59i −0.298322 2.64768i
\(567\) −359.826 173.283i −0.634614 0.305614i
\(568\) −276.412 276.412i −0.486641 0.486641i
\(569\) −70.7181 + 24.7453i −0.124285 + 0.0434891i −0.391705 0.920091i \(-0.628115\pi\)
0.267420 + 0.963580i \(0.413829\pi\)
\(570\) 215.347 135.311i 0.377802 0.237388i
\(571\) −396.867 + 191.121i −0.695038 + 0.334713i −0.747828 0.663893i \(-0.768903\pi\)
0.0527893 + 0.998606i \(0.483189\pi\)
\(572\) 2237.20 + 782.831i 3.91119 + 1.36859i
\(573\) 39.9713 9.12320i 0.0697580 0.0159218i
\(574\) −3.42619 + 4.29631i −0.00596897 + 0.00748486i
\(575\) −35.3308 44.3034i −0.0614448 0.0770494i
\(576\) −116.517 + 510.494i −0.202286 + 0.886275i
\(577\) −711.295 446.936i −1.23275 0.774586i −0.251597 0.967832i \(-0.580956\pi\)
−0.981150 + 0.193246i \(0.938099\pi\)
\(578\) 989.491 + 111.489i 1.71192 + 0.192887i
\(579\) 158.646i 0.274000i
\(580\) 1220.86 + 528.250i 2.10493 + 0.910776i
\(581\) −129.967 −0.223696
\(582\) 29.6805 263.422i 0.0509975 0.452615i
\(583\) 510.346 812.210i 0.875378 1.39316i
\(584\) −1049.11 239.452i −1.79642 0.410020i
\(585\) 590.651 471.029i 1.00966 0.805177i
\(586\) 529.861 + 422.550i 0.904200 + 0.721075i
\(587\) 260.514 + 1141.39i 0.443806 + 1.94444i 0.294514 + 0.955647i \(0.404842\pi\)
0.149292 + 0.988793i \(0.452301\pi\)
\(588\) 28.3390 80.9882i 0.0481956 0.137735i
\(589\) −469.201 974.306i −0.796606 1.65417i
\(590\) −12.1707 19.3695i −0.0206283 0.0328297i
\(591\) 11.0535 + 31.5892i 0.0187031 + 0.0534503i
\(592\) −20.8914 + 20.8914i −0.0352896 + 0.0352896i
\(593\) −158.384 + 328.888i −0.267089 + 0.554617i −0.990776 0.135512i \(-0.956732\pi\)
0.723686 + 0.690129i \(0.242446\pi\)
\(594\) −714.793 + 80.5378i −1.20336 + 0.135586i
\(595\) 5.49023 + 48.7271i 0.00922727 + 0.0818943i
\(596\) 1442.84 + 694.836i 2.42088 + 1.16583i
\(597\) −27.4233 27.4233i −0.0459351 0.0459351i
\(598\) 390.219 136.544i 0.652540 0.228334i
\(599\) 221.090 138.920i 0.369098 0.231920i −0.334692 0.942328i \(-0.608632\pi\)
0.703790 + 0.710408i \(0.251489\pi\)
\(600\) 57.5629 27.7208i 0.0959382 0.0462014i
\(601\) −942.786 329.895i −1.56869 0.548910i −0.600612 0.799541i \(-0.705076\pi\)
−0.968083 + 0.250631i \(0.919362\pi\)
\(602\) 317.022 72.3582i 0.526615 0.120196i
\(603\) −27.1141 + 34.0000i −0.0449653 + 0.0563847i
\(604\) −359.982 451.403i −0.595997 0.747356i
\(605\) −306.870 + 1344.49i −0.507223 + 2.22229i
\(606\) 251.442 + 157.992i 0.414922 + 0.260713i
\(607\) 784.036 + 88.3397i 1.29166 + 0.145535i 0.730922 0.682460i \(-0.239090\pi\)
0.560735 + 0.827995i \(0.310519\pi\)
\(608\) 38.8286i 0.0638628i
\(609\) 37.0794 + 93.6401i 0.0608858 + 0.153760i
\(610\) −460.331 −0.754640
\(611\) −5.33470 + 47.3468i −0.00873110 + 0.0774907i
\(612\) 56.6177 90.1065i 0.0925126 0.147233i
\(613\) −541.445 123.581i −0.883270 0.201601i −0.243255 0.969962i \(-0.578215\pi\)
−0.640016 + 0.768362i \(0.721072\pi\)
\(614\) −989.623 + 789.198i −1.61176 + 1.28534i
\(615\) 0.769494 + 0.613651i 0.00125121 + 0.000997807i
\(616\) −337.634 1479.27i −0.548107 2.40141i
\(617\) 310.899 888.498i 0.503888 1.44003i −0.358379 0.933576i \(-0.616670\pi\)
0.862267 0.506454i \(-0.169044\pi\)
\(618\) 89.3676 + 185.574i 0.144608 + 0.300281i
\(619\) 102.702 + 163.450i 0.165916 + 0.264055i 0.919326 0.393497i \(-0.128735\pi\)
−0.753409 + 0.657552i \(0.771592\pi\)
\(620\) −784.358 2241.57i −1.26509 3.61543i
\(621\) −59.3074 + 59.3074i −0.0955031 + 0.0955031i
\(622\) 193.440 401.683i 0.310997 0.645792i
\(623\) 406.520 45.8038i 0.652520 0.0735214i
\(624\) 17.8699 + 158.600i 0.0286377 + 0.254167i
\(625\) 679.874 + 327.410i 1.08780 + 0.523856i
\(626\) −126.782 126.782i −0.202528 0.202528i
\(627\) −231.701 + 81.0758i −0.369540 + 0.129307i
\(628\) −508.038 + 319.222i −0.808978 + 0.508315i
\(629\) −2.42492 + 1.16778i −0.00385521 + 0.00185657i
\(630\) −905.518 316.855i −1.43733 0.502944i
\(631\) 1062.78 242.573i 1.68428 0.384427i 0.730028 0.683418i \(-0.239507\pi\)
0.954256 + 0.298991i \(0.0966501\pi\)
\(632\) 254.516 319.153i 0.402716 0.504990i
\(633\) −18.1423 22.7497i −0.0286607 0.0359394i
\(634\) −7.28197 + 31.9044i −0.0114858 + 0.0503224i
\(635\) 36.0251 + 22.6360i 0.0567324 + 0.0356473i
\(636\) 248.584 + 28.0087i 0.390856 + 0.0440389i
\(637\) 265.957i 0.417515i
\(638\) −1548.79 1135.81i −2.42757 1.78027i
\(639\) 238.555 0.373326
\(640\) −139.083 + 1234.40i −0.217317 + 1.92874i
\(641\) −194.352 + 309.310i −0.303202 + 0.482543i −0.963223 0.268704i \(-0.913405\pi\)
0.660021 + 0.751247i \(0.270547\pi\)
\(642\) −290.223 66.2414i −0.452060 0.103180i
\(643\) 340.752 271.740i 0.529940 0.422613i −0.321621 0.946869i \(-0.604228\pi\)
0.851561 + 0.524255i \(0.175656\pi\)
\(644\) −274.388 218.817i −0.426069 0.339778i
\(645\) −12.9598 56.7805i −0.0200927 0.0880318i
\(646\) 36.6760 104.814i 0.0567740 0.162251i
\(647\) 278.913 + 579.169i 0.431087 + 0.895161i 0.997475 + 0.0710220i \(0.0226261\pi\)
−0.566388 + 0.824139i \(0.691660\pi\)
\(648\) 532.706 + 847.796i 0.822077 + 1.30833i
\(649\) 7.29243 + 20.8406i 0.0112364 + 0.0321118i
\(650\) 277.779 277.779i 0.427352 0.427352i
\(651\) 78.0129 161.996i 0.119836 0.248841i
\(652\) −1792.18 + 201.930i −2.74874 + 0.309708i
\(653\) 32.7552 + 290.711i 0.0501612 + 0.445193i 0.993541 + 0.113477i \(0.0361988\pi\)
−0.943379 + 0.331716i \(0.892373\pi\)
\(654\) 238.677 + 114.941i 0.364949 + 0.175750i
\(655\) −77.4671 77.4671i −0.118270 0.118270i
\(656\) 4.45256 1.55802i 0.00678744 0.00237503i
\(657\) 556.041 349.384i 0.846333 0.531786i
\(658\) 54.5131 26.2521i 0.0828466 0.0398968i
\(659\) 65.2168 + 22.8203i 0.0989632 + 0.0346287i 0.379307 0.925271i \(-0.376163\pi\)
−0.280343 + 0.959900i \(0.590448\pi\)
\(660\) −525.570 + 119.958i −0.796318 + 0.181754i
\(661\) 515.047 645.849i 0.779194 0.977078i −0.220804 0.975318i \(-0.570868\pi\)
0.999998 0.00176027i \(-0.000560312\pi\)
\(662\) 791.777 + 992.857i 1.19604 + 1.49978i
\(663\) −3.23533 + 14.1749i −0.00487984 + 0.0213800i
\(664\) 275.894 + 173.356i 0.415503 + 0.261078i
\(665\) −665.009 74.9285i −1.00001 0.112675i
\(666\) 52.6572i 0.0790648i
\(667\) −223.765 + 9.05292i −0.335480 + 0.0135726i
\(668\) 433.406 0.648811
\(669\) −20.0663 + 178.093i −0.0299945 + 0.266208i
\(670\) −53.0198 + 84.3805i −0.0791340 + 0.125941i
\(671\) 433.168 + 98.8677i 0.645555 + 0.147344i
\(672\) 5.04745 4.02521i 0.00751109 0.00598990i
\(673\) 716.861 + 571.677i 1.06517 + 0.849446i 0.989039 0.147651i \(-0.0471713\pi\)
0.0761326 + 0.997098i \(0.475743\pi\)
\(674\) 239.984 + 1051.44i 0.356059 + 1.56000i
\(675\) −26.3226 + 75.2257i −0.0389965 + 0.111446i
\(676\) 239.820 + 497.990i 0.354763 + 0.736672i
\(677\) −214.274 341.016i −0.316506 0.503716i 0.650146 0.759809i \(-0.274708\pi\)
−0.966652 + 0.256093i \(0.917565\pi\)
\(678\) −148.251 423.678i −0.218660 0.624894i
\(679\) −493.227 + 493.227i −0.726402 + 0.726402i
\(680\) 53.3396 110.761i 0.0784406 0.162884i
\(681\) 33.8170 3.81026i 0.0496578 0.00559509i
\(682\) 383.907 + 3407.27i 0.562913 + 4.99599i
\(683\) −289.662 139.494i −0.424102 0.204237i 0.209644 0.977778i \(-0.432769\pi\)
−0.633746 + 0.773541i \(0.718484\pi\)
\(684\) 1026.97 + 1026.97i 1.50141 + 1.50141i
\(685\) −352.539 + 123.359i −0.514655 + 0.180086i
\(686\) −1097.96 + 689.893i −1.60052 + 1.00567i
\(687\) 145.533 70.0851i 0.211839 0.102016i
\(688\) −263.478 92.1950i −0.382963 0.134004i
\(689\) 755.952 172.541i 1.09717 0.250422i
\(690\) −58.6260 + 73.5147i −0.0849653 + 0.106543i
\(691\) −601.397 754.128i −0.870328 1.09136i −0.995071 0.0991680i \(-0.968382\pi\)
0.124742 0.992189i \(-0.460190\pi\)
\(692\) 486.976 2133.58i 0.703722 3.08321i
\(693\) 784.033 + 492.641i 1.13136 + 0.710881i
\(694\) −380.597 42.8829i −0.548410 0.0617910i
\(695\) 1027.89i 1.47897i
\(696\) 46.1890 248.237i 0.0663635 0.356662i
\(697\) 0.429731 0.000616544
\(698\) 51.4060 456.241i 0.0736476 0.653640i
\(699\) 79.0362 125.785i 0.113070 0.179951i
\(700\) −325.124 74.2074i −0.464462 0.106011i
\(701\) 236.940 188.954i 0.338004 0.269549i −0.439747 0.898122i \(-0.644932\pi\)
0.777751 + 0.628573i \(0.216361\pi\)
\(702\) −454.598 362.530i −0.647576 0.516425i
\(703\) −8.17366 35.8111i −0.0116268 0.0509405i
\(704\) 382.514 1093.16i 0.543344 1.55279i
\(705\) −4.70191 9.76362i −0.00666938 0.0138491i
\(706\) −120.519 191.805i −0.170707 0.271678i
\(707\) −258.076 737.540i −0.365030 1.04320i
\(708\) −4.07158 + 4.07158i −0.00575081 + 0.00575081i
\(709\) −412.716 + 857.013i −0.582109 + 1.20876i 0.377128 + 0.926161i \(0.376912\pi\)
−0.959237 + 0.282601i \(0.908803\pi\)
\(710\) 543.231 61.2074i 0.765114 0.0862076i
\(711\) 27.8923 + 247.551i 0.0392296 + 0.348173i
\(712\) −924.055 445.001i −1.29783 0.625002i
\(713\) 282.706 + 282.706i 0.396502 + 0.396502i
\(714\) 17.4272 6.09804i 0.0244078 0.00854067i
\(715\) −1414.84 + 889.005i −1.97880 + 1.24336i
\(716\) −1428.46 + 687.911i −1.99506 + 0.960770i
\(717\) 161.982 + 56.6798i 0.225916 + 0.0790513i
\(718\) 1127.21 257.278i 1.56993 0.358326i
\(719\) −79.2834 + 99.4183i −0.110269 + 0.138273i −0.833903 0.551911i \(-0.813899\pi\)
0.723634 + 0.690184i \(0.242470\pi\)
\(720\) 513.473 + 643.875i 0.713157 + 0.894271i
\(721\) 120.600 528.384i 0.167268 0.732849i
\(722\) 221.432 + 139.135i 0.306692 + 0.192708i
\(723\) 114.114 + 12.8576i 0.157834 + 0.0177837i
\(724\) 543.396i 0.750546i
\(725\) −187.837 + 100.005i −0.259086 + 0.137938i
\(726\) 519.258 0.715231
\(727\) −64.0613 + 568.559i −0.0881173 + 0.782062i 0.869483 + 0.493963i \(0.164452\pi\)
−0.957600 + 0.288100i \(0.906977\pi\)
\(728\) 652.541 1038.51i 0.896348 1.42653i
\(729\) −536.973 122.561i −0.736589 0.168122i
\(730\) 1176.56 938.272i 1.61172 1.28530i
\(731\) −19.8813 15.8548i −0.0271974 0.0216892i
\(732\) 25.7834 + 112.965i 0.0352233 + 0.154323i
\(733\) 22.0048 62.8862i 0.0300202 0.0857928i −0.927898 0.372834i \(-0.878386\pi\)
0.957918 + 0.287041i \(0.0926717\pi\)
\(734\) 278.706 + 578.738i 0.379708 + 0.788472i
\(735\) 32.1826 + 51.2183i 0.0437858 + 0.0696847i
\(736\) 4.74130 + 13.5499i 0.00644198 + 0.0184101i
\(737\) 68.0140 68.0140i 0.0922850 0.0922850i
\(738\) −3.64787 + 7.57488i −0.00494291 + 0.0102641i
\(739\) −995.614 + 112.179i −1.34724 + 0.151798i −0.755935 0.654647i \(-0.772817\pi\)
−0.591309 + 0.806445i \(0.701389\pi\)
\(740\) −9.03178 80.1593i −0.0122051 0.108323i
\(741\) −178.778 86.0951i −0.241266 0.116188i
\(742\) −696.254 696.254i −0.938347 0.938347i
\(743\) −1074.63 + 376.031i −1.44634 + 0.506098i −0.935423 0.353530i \(-0.884981\pi\)
−0.510921 + 0.859628i \(0.670696\pi\)
\(744\) −381.682 + 239.827i −0.513013 + 0.322348i
\(745\) −1017.18 + 489.849i −1.36534 + 0.657515i
\(746\) −1948.11 681.673i −2.61141 0.913771i
\(747\) −193.861 + 44.2474i −0.259519 + 0.0592335i
\(748\) −146.755 + 184.024i −0.196196 + 0.246022i
\(749\) 488.381 + 612.410i 0.652044 + 0.817637i
\(750\) 47.8546 209.665i 0.0638061 0.279553i
\(751\) 297.047 + 186.647i 0.395535 + 0.248531i 0.715084 0.699039i \(-0.246389\pi\)
−0.319549 + 0.947570i \(0.603531\pi\)
\(752\) −51.6132 5.81542i −0.0686346 0.00773327i
\(753\) 155.309i 0.206254i
\(754\) −236.050 1534.47i −0.313064 2.03511i
\(755\) 407.034 0.539118
\(756\) −55.2658 + 490.498i −0.0731030 + 0.648807i
\(757\) −4.92720 + 7.84159i −0.00650884 + 0.0103588i −0.849963 0.526843i \(-0.823376\pi\)
0.843454 + 0.537202i \(0.180519\pi\)
\(758\) 1532.67 + 349.822i 2.02199 + 0.461506i
\(759\) 70.9558 56.5854i 0.0934859 0.0745525i
\(760\) 1311.74 + 1046.07i 1.72597 + 1.37641i
\(761\) −298.503 1307.83i −0.392251 1.71856i −0.656689 0.754162i \(-0.728043\pi\)
0.264438 0.964403i \(-0.414814\pi\)
\(762\) 5.29106 15.1210i 0.00694365 0.0198438i
\(763\) −302.443 628.030i −0.396387 0.823106i
\(764\) 285.446 + 454.284i 0.373620 + 0.594613i
\(765\) 24.7785 + 70.8128i 0.0323902 + 0.0925658i
\(766\) 1716.06 1716.06i 2.24029 2.24029i
\(767\) −7.74390 + 16.0804i −0.0100963 + 0.0209653i
\(768\) 315.954 35.5995i 0.411399 0.0463535i
\(769\) −107.950 958.085i −0.140377 1.24588i −0.844403 0.535709i \(-0.820044\pi\)
0.704025 0.710175i \(-0.251384\pi\)
\(770\) 1911.78 + 920.663i 2.48283 + 1.19567i
\(771\) 50.7000 + 50.7000i 0.0657587 + 0.0657587i