Properties

Label 29.3.f.a.14.1
Level $29$
Weight $3$
Character 29.14
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 14.1
Character \(\chi\) \(=\) 29.14
Dual form 29.3.f.a.27.1

$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{13}{28}\right)\)

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 −0.589950 0.807440i \(-0.700853\pi\)
0.395487 0.918472i \(-0.370576\pi\)
\(3\) −0.327948 0.521926i −0.109316 0.173975i 0.787586 0.616205i \(-0.211331\pi\)
−0.896902 + 0.442229i \(0.854188\pi\)
\(4\) −7.86410 + 1.79493i −1.96603 + 0.448733i
\(5\) 4.44600 + 3.54557i 0.889200 + 0.709113i 0.957464 0.288554i \(-0.0931746\pi\)
−0.0682639 + 0.997667i \(0.521746\pi\)
\(6\) −1.67405 + 1.33501i −0.279008 + 0.222502i
\(7\) 1.25371 5.49285i 0.179101 0.784694i −0.802945 0.596053i \(-0.796735\pi\)
0.982046 0.188640i \(-0.0604081\pi\)
\(8\) 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 0.184718 + 0.982792i \(0.440863\pi\)
−0.757179 + 0.653208i \(0.773423\pi\)
\(12\) 3.51584 + 3.51584i 0.292987 + 0.292987i
\(13\) 6.68692 + 13.8855i 0.514378 + 1.06812i 0.982810 + 0.184618i \(0.0591048\pi\)
−0.468432 + 0.883499i \(0.655181\pi\)
\(14\) −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 −0.674560 0.738220i \(-0.735667\pi\)
0.738220 + 0.674560i \(0.235667\pi\)
\(18\) −28.2628 9.88959i −1.57016 0.549422i
\(19\) −17.6859 11.1128i −0.930837 0.584884i −0.0209684 0.999780i \(-0.506675\pi\)
−0.909869 + 0.414896i \(0.863818\pi\)
\(20\) −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 0.875405 0.483389i \(-0.160594\pi\)
−0.666066 + 0.745893i \(0.732023\pi\)
\(24\) 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 −0.640221 0.768191i \(-0.721157\pi\)
0.453231 0.891393i \(-0.350271\pi\)
\(32\) −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 0.935768 0.352617i \(-0.114708\pi\)
−0.951466 + 0.307755i \(0.900422\pi\)
\(38\) −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 0.709524 0.704681i \(-0.248910\pi\)
−0.704681 + 0.709524i \(0.748910\pi\)
\(42\) 5.23425 + 10.8690i 0.124625 + 0.258786i
\(43\) −16.5106 1.86030i −0.383969 0.0432629i −0.0821293 0.996622i \(-0.526172\pi\)
−0.301839 + 0.953359i \(0.597601\pi\)
\(44\) 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 0.299057 0.954235i \(-0.403328\pi\)
−0.361144 + 0.932510i \(0.617614\pi\)
\(48\) −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 −0.392221 0.919871i \(-0.628293\pi\)
0.984085 + 0.177696i \(0.0568644\pi\)
\(54\) 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 0.729508 0.683972i \(-0.239749\pi\)
−0.932759 + 0.360499i \(0.882606\pi\)
\(62\) −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 −0.883995 0.467497i \(-0.845156\pi\)
0.916665 + 0.399656i \(0.130870\pi\)
\(68\) −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 0.968253 0.249973i \(-0.0804219\pi\)
−0.799133 + 0.601155i \(0.794708\pi\)
\(72\) 120.993 + 13.6327i 1.68047 + 0.189343i
\(73\) −8.52973 + 75.7035i −0.116846 + 1.03703i 0.789282 + 0.614030i \(0.210453\pi\)
−0.906128 + 0.423004i \(0.860976\pi\)
\(74\) −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 −0.152062 0.988371i \(-0.548591\pi\)
0.497353 + 0.867548i \(0.334305\pi\)
\(80\) 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 0.934546 0.355841i \(-0.115806\pi\)
−0.996391 + 0.0848828i \(0.972948\pi\)
\(84\) 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 0.952949 + 0.303130i \(0.0980318\pi\)
−0.861604 + 0.507581i \(0.830540\pi\)
\(90\) −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 −0.312365 0.949962i \(-0.601121\pi\)
0.991416 0.130742i \(-0.0417358\pi\)
\(98\) 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 −0.600857 0.799357i \(-0.705174\pi\)
−0.763666 + 0.645612i \(0.776602\pi\)
\(102\) −0.366913 + 3.25645i −0.00359719 + 0.0319259i
\(103\) −86.6685 + 41.7374i −0.841442 + 0.405217i −0.804394 0.594096i \(-0.797510\pi\)
−0.0370482 + 0.999313i \(0.511795\pi\)
\(104\) −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 0.915176 0.403055i \(-0.132052\pi\)
0.255481 + 0.966814i \(0.417766\pi\)
\(108\) 82.6931 28.9356i 0.765677 0.267922i
\(109\) −120.620 27.5306i −1.10660 0.252575i −0.370087 0.928997i \(-0.620672\pi\)
−0.736514 + 0.676422i \(0.763529\pi\)
\(110\) 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 0.586636 0.809851i \(-0.300452\pi\)
0.984182 0.177159i \(-0.0566907\pi\)
\(114\) 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 −0.933745 0.357939i \(-0.883480\pi\)
0.953202 + 0.302333i \(0.0977654\pi\)
\(128\) −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 −0.999255 0.0385920i \(-0.987713\pi\)
0.982789 + 0.184731i \(0.0591413\pi\)
\(132\) −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 −0.546906 0.837194i \(-0.684194\pi\)
0.0943939 + 0.995535i \(0.469909\pi\)
\(138\) −16.1205 3.67939i −0.116815 0.0266623i
\(139\) 112.699 + 141.319i 0.810781 + 1.01669i 0.999400 + 0.0346367i \(0.0110274\pi\)
−0.188619 + 0.982050i \(0.560401\pi\)
\(140\) −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 −0.815461 0.578812i \(-0.803516\pi\)
−0.483568 + 0.875307i \(0.660659\pi\)
\(150\) −12.2841 9.79621i −0.0818938 0.0653081i
\(151\) 55.9613 44.6277i 0.370605 0.295547i −0.420422 0.907329i \(-0.638118\pi\)
0.791027 + 0.611781i \(0.209547\pi\)
\(152\) 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 0.854487 0.519473i \(-0.173872\pi\)
−0.519473 + 0.854487i \(0.673872\pi\)
\(158\) −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 0.887717 0.460389i \(-0.152290\pi\)
0.406998 + 0.913429i \(0.366576\pi\)
\(164\) −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 0.0627875 0.998027i \(-0.480001\pi\)
−0.376458 + 0.926434i \(0.622858\pi\)
\(168\) −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 \(-0.713114\pi\)
0.620606 0.784122i \(-0.286886\pi\)
\(174\) 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 0.950365 0.311137i \(-0.100710\pi\)
−0.0918605 + 0.995772i \(0.529281\pi\)
\(180\) −309.140 + 246.531i −1.71745 + 1.36962i
\(181\) 14.9903 65.6768i 0.0828193 0.362855i −0.916488 0.400062i \(-0.868989\pi\)
0.999308 + 0.0372064i \(0.0118459\pi\)
\(182\) −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 −0.819426 0.573185i \(-0.805708\pi\)
0.573185 + 0.819426i \(0.305708\pi\)
\(192\) −35.3423 12.3668i −0.184074 0.0644104i
\(193\) 217.923 + 136.930i 1.12914 + 0.709483i 0.961073 0.276293i \(-0.0891061\pi\)
0.168063 + 0.985776i \(0.446249\pi\)
\(194\) −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 0.860291 0.509803i \(-0.170282\pi\)
−0.688454 + 0.725280i \(0.741710\pi\)
\(198\) 355.946 446.342i 1.79771 2.25425i
\(199\) −14.0003 61.3394i −0.0703533 0.308238i 0.927492 0.373842i \(-0.121960\pi\)
−0.997846 + 0.0656039i \(0.979103\pi\)
\(200\) −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 0.901014 0.433791i \(-0.142824\pi\)
−0.974905 + 0.222622i \(0.928539\pi\)
\(212\) −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 0.916361 0.400354i \(-0.131113\pi\)
0.258333 + 0.966056i \(0.416827\pi\)
\(224\) −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 −0.851849 0.523788i \(-0.824518\pi\)
0.700210 + 0.713937i \(0.253090\pi\)
\(228\) −23.1100 101.252i −0.101360 0.444086i
\(229\) −221.885 + 139.419i −0.968928 + 0.608818i −0.920805 0.390024i \(-0.872467\pi\)
−0.0481232 + 0.998841i \(0.515324\pi\)
\(230\) 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 0.662887 + 0.748720i \(0.269331\pi\)
−0.922098 + 0.386957i \(0.873526\pi\)
\(240\) −19.4504 55.5859i −0.0810431 0.231608i
\(241\) −80.8324 + 167.850i −0.335404 + 0.696474i −0.998651 0.0519267i \(-0.983464\pi\)
0.663247 + 0.748401i \(0.269178\pi\)
\(242\) −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 0.0351854 0.999381i \(-0.488798\pi\)
−0.885145 + 0.465316i \(0.845941\pi\)
\(252\) 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 0.999992 + 0.00388207i \(0.00123570\pi\)
−0.899278 + 0.437378i \(0.855907\pi\)
\(258\) 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 0.984386 + 0.176023i \(0.0563234\pi\)
−0.920536 + 0.390657i \(0.872248\pi\)
\(264\) 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 −0.830542 0.556957i \(-0.811969\pi\)
0.302087 0.953280i \(-0.402317\pi\)
\(270\) −93.0876 + 193.298i −0.344769 + 0.715920i
\(271\) 145.351 231.324i 0.536349 0.853595i −0.463116 0.886298i \(-0.653269\pi\)
0.999465 + 0.0327029i \(0.0104115\pi\)
\(272\) 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 0.470595 0.882349i \(-0.344039\pi\)
0.983260 + 0.182210i \(0.0583251\pi\)
\(278\) 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 0.675308 0.737536i \(-0.264011\pi\)
−0.155581 + 0.987823i \(0.549725\pi\)
\(282\) 6.24814 2.18632i 0.0221565 0.00775291i
\(283\) −423.259 96.6060i −1.49561 0.341364i −0.605037 0.796197i \(-0.706842\pi\)
−0.890577 + 0.454833i \(0.849699\pi\)
\(284\) −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 0.975551 0.219772i \(-0.0705314\pi\)
−0.621284 + 0.783586i \(0.713389\pi\)
\(294\) −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 −0.149470 0.988766i \(-0.547757\pi\)
0.988766 + 0.149470i \(0.0477567\pi\)
\(308\) −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 −0.517937 0.855419i \(-0.673300\pi\)
0.128405 + 0.991722i \(0.459014\pi\)
\(312\) 130.823 + 29.8595i 0.419305 + 0.0957036i
\(313\) −32.1822 40.3552i −0.102819 0.128930i 0.727760 0.685832i \(-0.240561\pi\)
−0.830579 + 0.556902i \(0.811990\pi\)
\(314\) 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 −0.0971862 0.995266i \(-0.530984\pi\)
0.126718 + 0.991939i \(0.459556\pi\)
\(318\) 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 0.979997 0.199012i \(-0.0637733\pi\)
−0.199012 + 0.979997i \(0.563773\pi\)
\(332\) 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 0.727943 0.685637i \(-0.240476\pi\)
0.141641 + 0.989918i \(0.454762\pi\)
\(338\) 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 \(-0.949213\pi\)
0.987299 0.158876i \(-0.0507869\pi\)
\(348\) −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 0.548608 0.836080i \(-0.315158\pi\)
−0.693041 + 0.720898i \(0.743730\pi\)
\(354\) 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 0.683227 + 0.730206i \(0.260576\pi\)
−0.989444 + 0.144914i \(0.953710\pi\)
\(360\) 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 0.728190 0.685375i \(-0.240362\pi\)
−0.301552 + 0.953450i \(0.597505\pi\)
\(368\) 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 −0.766751 0.641945i \(-0.778128\pi\)
0.412289 0.911053i \(-0.364729\pi\)
\(374\) 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 0.864002 + 0.503489i \(0.167951\pi\)
−0.730302 + 0.683124i \(0.760621\pi\)
\(380\) 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 −0.457443 + 0.889239i \(0.651235\pi\)
−0.968734 + 0.248100i \(0.920194\pi\)
\(384\) −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 0.974063 0.226277i \(-0.0726554\pi\)
−0.226277 + 0.974063i \(0.572655\pi\)
\(390\) −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 −0.0331653 0.999450i \(-0.510559\pi\)
−0.802080 + 0.597217i \(0.796273\pi\)
\(398\) −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 0.156068 + 0.987746i \(0.450118\pi\)
−0.997710 + 0.0676387i \(0.978453\pi\)
\(402\) 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 0.921935 0.387345i \(-0.126608\pi\)
−0.748998 + 0.662572i \(0.769465\pi\)
\(410\) 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 −0.966800 0.255535i \(-0.917748\pi\)
0.403004 0.915198i \(-0.367966\pi\)
\(420\) 158.302 + 17.8364i 0.376910 + 0.0424675i
\(421\) 12.9846 115.241i 0.0308422 0.273732i −0.968821 0.247764i \(-0.920304\pi\)
0.999663 0.0259687i \(-0.00826704\pi\)
\(422\) −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 0.947986 + 0.318312i \(0.103116\pi\)
−0.715995 + 0.698105i \(0.754027\pi\)
\(432\) −154.504 + 97.0812i −0.357648 + 0.224725i
\(433\) −23.7882 + 2.68029i −0.0549382 + 0.00619004i −0.139391 0.990237i \(-0.544514\pi\)
0.0844526 + 0.996427i \(0.473086\pi\)
\(434\) 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 0.345458 0.938434i \(-0.387724\pi\)
0.718418 + 0.695612i \(0.244866\pi\)
\(440\) −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 0.995493 + 0.0948309i \(0.0302310\pi\)
−0.719182 + 0.694822i \(0.755483\pi\)
\(444\) 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 0.461148 0.887323i \(-0.347438\pi\)
0.252138 + 0.967691i \(0.418866\pi\)
\(450\) 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 −0.0711271 0.997467i \(-0.522660\pi\)
−0.496868 + 0.867826i \(0.665517\pi\)
\(458\) 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 −0.938315 0.345783i \(-0.887613\pi\)
−0.0955801 + 0.995422i \(0.530471\pi\)
\(462\) −228.559 + 25.7524i −0.494717 + 0.0557412i
\(463\) 475.767i 1.02757i −0.857918 0.513787i \(-0.828242\pi\)
0.857918 0.513787i \(-0.171758\pi\)
\(464\) −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 −0.850095 0.526629i \(-0.823456\pi\)
−0.105633 0.994405i \(-0.533687\pi\)
\(468\) −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 −0.700818 0.713340i \(-0.747182\pi\)
0.841981 0.539508i \(-0.181390\pi\)
\(480\) −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 0.597817 0.801633i \(-0.296035\pi\)
−0.914561 + 0.404448i \(0.867464\pi\)
\(488\) 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 0.649972 0.759958i \(-0.274780\pi\)
0.802783 + 0.596272i \(0.203352\pi\)
\(492\) 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 −0.890454 0.455073i \(-0.849613\pi\)
0.245519 + 0.969392i \(0.421042\pi\)
\(500\) −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 −0.995925 0.0901884i \(-0.971253\pi\)
0.513372 + 0.858166i \(0.328396\pi\)
\(504\) 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 −0.333257 0.942836i \(-0.608148\pi\)
0.529356 + 0.848400i \(0.322433\pi\)
\(510\) −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 \(-0.963549\pi\)
0.993450 0.114263i \(-0.0364508\pi\)
\(522\) 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 0.0884564 0.996080i \(-0.471807\pi\)
−0.859057 + 0.511879i \(0.828949\pi\)
\(542\) −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 0.913602 + 0.406609i \(0.133289\pi\)
−0.646706 + 0.762739i \(0.723854\pi\)
\(548\) 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 −0.940891 0.338709i \(-0.890010\pi\)
0.120849 + 0.992671i \(0.461438\pi\)
\(558\) −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 0.887633 0.460552i \(-0.152349\pi\)
−0.460552 + 0.887633i \(0.652349\pi\)
\(564\) −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 0.267420 0.963580i \(-0.413829\pi\)
−0.391705 + 0.920091i \(0.628115\pi\)
\(570\) 215.347 + 135.311i 0.377802 + 0.237388i
\(571\) −396.867 191.121i −0.695038 0.334713i 0.0527893 0.998606i \(-0.483189\pi\)
−0.747828 + 0.663893i \(0.768903\pi\)
\(572\) 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 −0.981150 0.193246i \(-0.938099\pi\)
−0.251597 + 0.967832i \(0.580956\pi\)
\(578\) 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 0.149292 0.988793i \(-0.452301\pi\)
0.294514 0.955647i \(-0.404842\pi\)
\(588\) 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 0.723686 0.690129i \(-0.242446\pi\)
−0.990776 + 0.135512i \(0.956732\pi\)
\(594\) −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 0.703790 0.710408i \(-0.251489\pi\)
−0.334692 + 0.942328i \(0.608632\pi\)
\(600\) 57.5629 + 27.7208i 0.0959382 + 0.0462014i
\(601\) −942.786 + 329.895i −1.56869 + 0.548910i −0.968083 0.250631i \(-0.919362\pi\)
−0.600612 + 0.799541i \(0.705076\pi\)
\(602\) 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 0.560735 0.827995i \(-0.310519\pi\)
0.730922 + 0.682460i \(0.239090\pi\)
\(608\) 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 −0.640016 0.768362i \(-0.721072\pi\)
−0.243255 + 0.969962i \(0.578215\pi\)
\(614\) −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 0.862267 + 0.506454i \(0.169044\pi\)
−0.358379 + 0.933576i \(0.616670\pi\)
\(618\) 89.3676 185.574i 0.144608 0.300281i
\(619\) 102.702 163.450i 0.165916 0.264055i −0.753409 0.657552i \(-0.771592\pi\)
0.919326 + 0.393497i \(0.128735\pi\)
\(620\) −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 0.954256 0.298991i \(-0.0966501\pi\)
0.730028 + 0.683418i \(0.239507\pi\)
\(632\) 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 0.660021 0.751247i \(-0.270547\pi\)
−0.963223 + 0.268704i \(0.913405\pi\)
\(642\) −290.223 + 66.2414i −0.452060 + 0.103180i
\(643\) 340.752 + 271.740i 0.529940 + 0.422613i 0.851561 0.524255i \(-0.175656\pi\)
−0.321621 + 0.946869i \(0.604228\pi\)
\(644\) −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 −0.566388 0.824139i \(-0.691660\pi\)
0.997475 0.0710220i \(-0.0226261\pi\)
\(648\) 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 −0.943379 0.331716i \(-0.892373\pi\)
0.993541 0.113477i \(-0.0361988\pi\)
\(654\) 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 −0.280343 0.959900i \(-0.590448\pi\)
0.379307 + 0.925271i \(0.376163\pi\)
\(660\) −525.570 119.958i −0.796318 0.181754i
\(661\) 515.047 + 645.849i 0.779194 + 0.977078i 0.999998 + 0.00176027i \(0.000560312\pi\)
−0.220804 + 0.975318i \(0.570868\pi\)
\(662\) 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 0.0761326 0.997098i \(-0.475743\pi\)
0.989039 + 0.147651i \(0.0471713\pi\)
\(674\) 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 −0.966652 0.256093i \(-0.917565\pi\)
0.650146 + 0.759809i \(0.274708\pi\)
\(678\) −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 −0.633746 0.773541i \(-0.718484\pi\)
0.209644 + 0.977778i \(0.432769\pi\)
\(684\) 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 0.124742 + 0.992189i \(0.460190\pi\)
−0.995071 + 0.0991680i \(0.968382\pi\)
\(692\) 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 0.777751 0.628573i \(-0.216361\pi\)
−0.439747 + 0.898122i \(0.644932\pi\)
\(702\) −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 −0.959237 0.282601i \(-0.908803\pi\)
0.377128 0.926161i \(-0.376912\pi\)
\(710\) 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 0.723634 0.690184i \(-0.242470\pi\)
−0.833903 + 0.551911i \(0.813899\pi\)
\(720\) 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 −0.957600 0.288100i \(-0.906977\pi\)
0.869483 0.493963i \(-0.164452\pi\)
\(728\) 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 0.957918 0.287041i \(-0.0926717\pi\)
−0.927898 + 0.372834i \(0.878386\pi\)
\(734\) 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 −0.591309 0.806445i \(-0.701389\pi\)
−0.755935 + 0.654647i \(0.772817\pi\)
\(740\) −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 −0.510921 0.859628i \(-0.670696\pi\)
−0.935423 + 0.353530i \(0.884981\pi\)
\(744\) −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 −0.319549 0.947570i \(-0.603531\pi\)
0.715084 + 0.699039i \(0.246389\pi\)
\(752\) −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 0.843454 0.537202i \(-0.180519\pi\)
−0.849963 + 0.526843i \(0.823376\pi\)
\(758\) 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 0.264438 + 0.964403i \(0.414814\pi\)
−0.656689 + 0.754162i \(0.728043\pi\)
\(762\) 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 0.704025 + 0.710175i \(0.251384\pi\)
−0.844403 + 0.535709i \(0.820044\pi\)
\(770\) 1911.78 920.663i 2.48283 1.19567i
\(771\) 50.7000 50.7000i 0.0657587 0.0657587i