Properties

Label 547.2.o.a.4.8
Level 547
Weight 2
Character 547.4
Analytic conductor 4.368
Analytic rank 0
Dimension 6480
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 547 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 547.o (of order \(273\), degree \(144\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36781699056\)
Analytic rank: \(0\)
Dimension: \(6480\)
Relative dimension: \(45\) over \(\Q(\zeta_{273})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{273}]$

Embedding invariants

Embedding label 4.8
Character \(\chi\) \(=\) 547.4
Dual form 547.2.o.a.137.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.07856 - 0.0239204i) q^{2} +(0.521570 - 2.28515i) q^{3} +(2.32035 + 0.0534131i) q^{4} +(-0.897784 + 1.68692i) q^{5} +(-1.13877 + 4.73733i) q^{6} +(-0.603206 - 1.48642i) q^{7} +(-0.666796 - 0.0230290i) q^{8} +(-2.24696 - 1.08208i) q^{9} +O(q^{10})\) \(q+(-2.07856 - 0.0239204i) q^{2} +(0.521570 - 2.28515i) q^{3} +(2.32035 + 0.0534131i) q^{4} +(-0.897784 + 1.68692i) q^{5} +(-1.13877 + 4.73733i) q^{6} +(-0.603206 - 1.48642i) q^{7} +(-0.666796 - 0.0230290i) q^{8} +(-2.24696 - 1.08208i) q^{9} +(1.90645 - 3.48489i) q^{10} +(2.08454 + 2.17024i) q^{11} +(1.33228 - 5.27449i) q^{12} +(-4.56605 - 0.688221i) q^{13} +(1.21824 + 3.10403i) q^{14} +(3.38661 + 2.93142i) q^{15} +(-3.25160 - 0.149779i) q^{16} +(0.862167 - 5.11893i) q^{17} +(4.64454 + 2.30291i) q^{18} +(-5.01270 + 2.70489i) q^{19} +(-2.17328 + 3.86631i) q^{20} +(-3.71129 + 0.603144i) q^{21} +(-4.28093 - 4.56083i) q^{22} +(-6.98572 - 1.63679i) q^{23} +(-0.400406 + 1.51172i) q^{24} +(0.753085 + 1.11834i) q^{25} +(9.47432 + 1.53973i) q^{26} +(0.739567 - 0.927388i) q^{27} +(-1.32026 - 3.48123i) q^{28} +(-1.25427 - 0.714562i) q^{29} +(-6.96915 - 6.17413i) q^{30} +(-7.08987 - 2.54975i) q^{31} +(8.08722 + 0.465839i) q^{32} +(6.04655 - 3.63156i) q^{33} +(-1.91451 + 10.6194i) q^{34} +(3.04902 + 0.316918i) q^{35} +(-5.15594 - 2.63082i) q^{36} +(-3.13933 + 2.53322i) q^{37} +(10.4839 - 5.50236i) q^{38} +(-3.95420 + 10.0751i) q^{39} +(0.637487 - 1.10416i) q^{40} +(4.23812 + 7.34064i) q^{41} +(7.72856 - 1.16489i) q^{42} +(-0.873343 + 8.90001i) q^{43} +(4.72096 + 5.14706i) q^{44} +(3.84267 - 2.81898i) q^{45} +(14.4811 + 3.56926i) q^{46} +(1.05829 - 0.0854340i) q^{47} +(-2.03820 + 7.35226i) q^{48} +(3.17486 - 3.08481i) q^{49} +(-1.53858 - 2.34255i) q^{50} +(-11.2478 - 4.64006i) q^{51} +(-10.5581 - 1.84080i) q^{52} +(1.75923 - 0.609907i) q^{53} +(-1.55941 + 1.90994i) q^{54} +(-5.53250 + 1.56806i) q^{55} +(0.367985 + 1.00503i) q^{56} +(3.56660 + 12.8655i) q^{57} +(2.58998 + 1.51526i) q^{58} +(-10.2722 + 4.37657i) q^{59} +(7.70157 + 6.98282i) q^{60} +(-3.68515 + 1.72272i) q^{61} +(14.6757 + 5.46938i) q^{62} +(-0.253040 + 3.99263i) q^{63} +(-10.3040 - 0.712584i) q^{64} +(5.26030 - 7.08470i) q^{65} +(-12.6550 + 7.40376i) q^{66} +(-5.86642 - 5.70003i) q^{67} +(2.27395 - 11.8317i) q^{68} +(-7.38385 + 15.1097i) q^{69} +(-6.32998 - 0.731665i) q^{70} +(1.97657 - 0.391686i) q^{71} +(1.47334 + 0.773271i) q^{72} +(-5.85120 + 5.06474i) q^{73} +(6.58586 - 5.19034i) q^{74} +(2.94837 - 1.13761i) q^{75} +(-11.7757 + 6.00856i) q^{76} +(1.96847 - 4.40760i) q^{77} +(8.46003 - 20.8471i) q^{78} +(6.27020 + 4.48975i) q^{79} +(3.17190 - 5.35073i) q^{80} +(-6.39831 - 8.02323i) q^{81} +(-8.63359 - 15.3593i) q^{82} +(-9.10867 - 5.75997i) q^{83} +(-8.64373 + 1.20128i) q^{84} +(7.86121 + 6.05010i) q^{85} +(2.02818 - 18.4783i) q^{86} +(-2.28707 + 2.49350i) q^{87} +(-1.33999 - 1.49511i) q^{88} +(1.23864 + 14.3158i) q^{89} +(-8.05463 + 5.76748i) q^{90} +(1.73128 + 7.20218i) q^{91} +(-16.1219 - 4.17106i) q^{92} +(-9.52441 + 14.8715i) q^{93} +(-2.20176 + 0.152265i) q^{94} +(-0.0626280 - 10.8844i) q^{95} +(5.28256 - 18.2375i) q^{96} +(1.19758 + 8.99651i) q^{97} +(-6.67291 + 6.33601i) q^{98} +(-2.33551 - 7.13207i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} + O(q^{10}) \) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} - 152q^{10} - 161q^{11} - 99q^{12} - 158q^{13} - 174q^{14} - 71q^{15} - 235q^{16} - 146q^{17} + 33q^{18} - 144q^{19} - 138q^{20} - 98q^{21} - 226q^{22} - 115q^{23} - 123q^{24} - 208q^{25} - 65q^{26} + 131q^{27} - 48q^{28} - 207q^{29} - 56q^{30} - 215q^{31} - 151q^{32} - 63q^{33} - 70q^{34} - 192q^{35} - 17q^{36} - 124q^{37} - 61q^{38} - 268q^{39} - 51q^{40} + 533q^{41} + 292q^{42} - 166q^{43} - 20q^{44} + 51q^{45} - 233q^{46} - 96q^{47} - 211q^{48} - 213q^{49} + 12q^{50} - 213q^{51} - 279q^{52} - 178q^{53} + 173q^{54} - 233q^{55} + 170q^{56} - 22q^{57} + 36q^{58} - 133q^{59} + 225q^{60} - 117q^{61} - 176q^{62} + 202q^{63} + 154q^{64} - 320q^{65} - 124q^{66} - 78q^{67} + 441q^{68} + 203q^{69} - 522q^{70} - 195q^{71} + 564q^{72} - 254q^{73} + 22q^{74} - 326q^{75} - 186q^{76} - 182q^{77} - 100q^{78} - 268q^{79} - 299q^{80} - 776q^{81} - 242q^{82} + 78q^{83} + 162q^{84} - 144q^{85} - 132q^{86} - 84q^{87} + 333q^{88} - 167q^{89} - 134q^{90} - 268q^{91} - 261q^{92} - 21q^{93} + 297q^{94} - 65q^{95} - 567q^{96} + 427q^{97} - 237q^{98} + 237q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/547\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{273}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.07856 0.0239204i −1.46976 0.0169143i −0.727077 0.686556i \(-0.759122\pi\)
−0.742684 + 0.669642i \(0.766448\pi\)
\(3\) 0.521570 2.28515i 0.301129 1.31933i −0.567298 0.823513i \(-0.692011\pi\)
0.868426 0.495818i \(-0.165132\pi\)
\(4\) 2.32035 + 0.0534131i 1.16018 + 0.0267066i
\(5\) −0.897784 + 1.68692i −0.401501 + 0.754416i −0.998869 0.0475519i \(-0.984858\pi\)
0.597368 + 0.801968i \(0.296213\pi\)
\(6\) −1.13877 + 4.73733i −0.464903 + 1.93401i
\(7\) −0.603206 1.48642i −0.227990 0.561812i 0.769008 0.639239i \(-0.220751\pi\)
−0.996998 + 0.0774271i \(0.975329\pi\)
\(8\) −0.666796 0.0230290i −0.235748 0.00814197i
\(9\) −2.24696 1.08208i −0.748986 0.360693i
\(10\) 1.90645 3.48489i 0.602871 1.10202i
\(11\) 2.08454 + 2.17024i 0.628513 + 0.654352i 0.956977 0.290165i \(-0.0937102\pi\)
−0.328463 + 0.944517i \(0.606531\pi\)
\(12\) 1.33228 5.27449i 0.384597 1.52261i
\(13\) −4.56605 0.688221i −1.26639 0.190878i −0.518720 0.854944i \(-0.673591\pi\)
−0.747674 + 0.664066i \(0.768829\pi\)
\(14\) 1.21824 + 3.10403i 0.325589 + 0.829586i
\(15\) 3.38661 + 2.93142i 0.874420 + 0.756889i
\(16\) −3.25160 0.149779i −0.812899 0.0374447i
\(17\) 0.862167 5.11893i 0.209106 1.24152i −0.661652 0.749811i \(-0.730144\pi\)
0.870758 0.491711i \(-0.163628\pi\)
\(18\) 4.64454 + 2.30291i 1.09473 + 0.542801i
\(19\) −5.01270 + 2.70489i −1.14999 + 0.620544i −0.934501 0.355961i \(-0.884153\pi\)
−0.215491 + 0.976506i \(0.569135\pi\)
\(20\) −2.17328 + 3.86631i −0.485960 + 0.864533i
\(21\) −3.71129 + 0.603144i −0.809871 + 0.131617i
\(22\) −4.28093 4.56083i −0.912697 0.972372i
\(23\) −6.98572 1.63679i −1.45662 0.341294i −0.576914 0.816805i \(-0.695743\pi\)
−0.879710 + 0.475511i \(0.842263\pi\)
\(24\) −0.400406 + 1.51172i −0.0817325 + 0.308578i
\(25\) 0.753085 + 1.11834i 0.150617 + 0.223669i
\(26\) 9.47432 + 1.53973i 1.85807 + 0.301965i
\(27\) 0.739567 0.927388i 0.142330 0.178476i
\(28\) −1.32026 3.48123i −0.249505 0.657890i
\(29\) −1.25427 0.714562i −0.232912 0.132691i 0.374087 0.927394i \(-0.377956\pi\)
−0.606999 + 0.794703i \(0.707627\pi\)
\(30\) −6.96915 6.17413i −1.27239 1.12724i
\(31\) −7.08987 2.54975i −1.27338 0.457948i −0.387502 0.921869i \(-0.626662\pi\)
−0.885877 + 0.463921i \(0.846442\pi\)
\(32\) 8.08722 + 0.465839i 1.42963 + 0.0823496i
\(33\) 6.04655 3.63156i 1.05257 0.632173i
\(34\) −1.91451 + 10.6194i −0.328336 + 1.82120i
\(35\) 3.04902 + 0.316918i 0.515378 + 0.0535689i
\(36\) −5.15594 2.63082i −0.859323 0.438470i
\(37\) −3.13933 + 2.53322i −0.516102 + 0.416458i −0.850501 0.525973i \(-0.823701\pi\)
0.334399 + 0.942432i \(0.391467\pi\)
\(38\) 10.4839 5.50236i 1.70071 0.892601i
\(39\) −3.95420 + 10.0751i −0.633179 + 1.61331i
\(40\) 0.637487 1.10416i 0.100796 0.174583i
\(41\) 4.23812 + 7.34064i 0.661884 + 1.14642i 0.980120 + 0.198405i \(0.0635760\pi\)
−0.318237 + 0.948011i \(0.603091\pi\)
\(42\) 7.72856 1.16489i 1.19254 0.179747i
\(43\) −0.873343 + 8.90001i −0.133184 + 1.35724i 0.661377 + 0.750054i \(0.269972\pi\)
−0.794560 + 0.607185i \(0.792299\pi\)
\(44\) 4.72096 + 5.14706i 0.711711 + 0.775949i
\(45\) 3.84267 2.81898i 0.572831 0.420228i
\(46\) 14.4811 + 3.56926i 2.13512 + 0.526259i
\(47\) 1.05829 0.0854340i 0.154367 0.0124618i −0.00304122 0.999995i \(-0.500968\pi\)
0.157409 + 0.987534i \(0.449686\pi\)
\(48\) −2.03820 + 7.35226i −0.294189 + 1.06121i
\(49\) 3.17486 3.08481i 0.453551 0.440687i
\(50\) −1.53858 2.34255i −0.217588 0.331287i
\(51\) −11.2478 4.64006i −1.57501 0.649738i
\(52\) −10.5581 1.84080i −1.46414 0.255273i
\(53\) 1.75923 0.609907i 0.241649 0.0837771i −0.204048 0.978961i \(-0.565410\pi\)
0.445697 + 0.895184i \(0.352956\pi\)
\(54\) −1.55941 + 1.90994i −0.212209 + 0.259909i
\(55\) −5.53250 + 1.56806i −0.746002 + 0.211437i
\(56\) 0.367985 + 1.00503i 0.0491740 + 0.134303i
\(57\) 3.56660 + 12.8655i 0.472408 + 1.70408i
\(58\) 2.58998 + 1.51526i 0.340081 + 0.198963i
\(59\) −10.2722 + 4.37657i −1.33732 + 0.569780i −0.937874 0.346975i \(-0.887209\pi\)
−0.399449 + 0.916755i \(0.630799\pi\)
\(60\) 7.70157 + 6.98282i 0.994268 + 0.901478i
\(61\) −3.68515 + 1.72272i −0.471835 + 0.220571i −0.644792 0.764358i \(-0.723056\pi\)
0.172957 + 0.984929i \(0.444668\pi\)
\(62\) 14.6757 + 5.46938i 1.86382 + 0.694613i
\(63\) −0.253040 + 3.99263i −0.0318801 + 0.503024i
\(64\) −10.3040 0.712584i −1.28800 0.0890731i
\(65\) 5.26030 7.08470i 0.652460 0.878749i
\(66\) −12.6550 + 7.40376i −1.55772 + 0.911340i
\(67\) −5.86642 5.70003i −0.716697 0.696369i 0.245294 0.969449i \(-0.421115\pi\)
−0.961992 + 0.273079i \(0.911958\pi\)
\(68\) 2.27395 11.8317i 0.275757 1.43480i
\(69\) −7.38385 + 15.1097i −0.888911 + 1.81899i
\(70\) −6.32998 0.731665i −0.756577 0.0874507i
\(71\) 1.97657 0.391686i 0.234575 0.0464845i −0.0757027 0.997130i \(-0.524120\pi\)
0.310278 + 0.950646i \(0.399578\pi\)
\(72\) 1.47334 + 0.773271i 0.173635 + 0.0911308i
\(73\) −5.85120 + 5.06474i −0.684831 + 0.592783i −0.925920 0.377720i \(-0.876708\pi\)
0.241088 + 0.970503i \(0.422496\pi\)
\(74\) 6.58586 5.19034i 0.765591 0.603365i
\(75\) 2.94837 1.13761i 0.340448 0.131360i
\(76\) −11.7757 + 6.00856i −1.35077 + 0.689229i
\(77\) 1.96847 4.40760i 0.224328 0.502292i
\(78\) 8.46003 20.8471i 0.957909 2.36047i
\(79\) 6.27020 + 4.48975i 0.705453 + 0.505137i 0.877273 0.479992i \(-0.159360\pi\)
−0.171820 + 0.985128i \(0.554965\pi\)
\(80\) 3.17190 5.35073i 0.354629 0.598230i
\(81\) −6.39831 8.02323i −0.710923 0.891470i
\(82\) −8.63359 15.3593i −0.953420 1.69615i
\(83\) −9.10867 5.75997i −0.999806 0.632239i −0.0689481 0.997620i \(-0.521964\pi\)
−0.930858 + 0.365381i \(0.880939\pi\)
\(84\) −8.64373 + 1.20128i −0.943108 + 0.131070i
\(85\) 7.86121 + 6.05010i 0.852668 + 0.656226i
\(86\) 2.02818 18.4783i 0.218705 1.99256i
\(87\) −2.28707 + 2.49350i −0.245200 + 0.267331i
\(88\) −1.33999 1.49511i −0.142843 0.159380i
\(89\) 1.23864 + 14.3158i 0.131295 + 1.51747i 0.711317 + 0.702872i \(0.248099\pi\)
−0.580021 + 0.814601i \(0.696956\pi\)
\(90\) −8.05463 + 5.76748i −0.849032 + 0.607946i
\(91\) 1.73128 + 7.20218i 0.181488 + 0.754994i
\(92\) −16.1219 4.17106i −1.68083 0.434863i
\(93\) −9.52441 + 14.8715i −0.987636 + 1.54211i
\(94\) −2.20176 + 0.152265i −0.227094 + 0.0157049i
\(95\) −0.0626280 10.8844i −0.00642550 1.11672i
\(96\) 5.28256 18.2375i 0.539149 1.86136i
\(97\) 1.19758 + 8.99651i 0.121596 + 0.913457i 0.940564 + 0.339618i \(0.110298\pi\)
−0.818968 + 0.573840i \(0.805453\pi\)
\(98\) −6.67291 + 6.33601i −0.674066 + 0.640033i
\(99\) −2.33551 7.13207i −0.234728 0.716800i
\(100\) 1.68769 + 2.63518i 0.168769 + 0.263518i
\(101\) −4.72829 6.36817i −0.470482 0.633657i 0.502489 0.864584i \(-0.332418\pi\)
−0.972971 + 0.230927i \(0.925824\pi\)
\(102\) 23.2682 + 9.91367i 2.30390 + 0.981600i
\(103\) −8.25536 17.9276i −0.813425 1.76646i −0.618744 0.785593i \(-0.712358\pi\)
−0.194681 0.980867i \(-0.562367\pi\)
\(104\) 3.02877 + 0.564054i 0.296996 + 0.0553101i
\(105\) 2.31448 6.80217i 0.225870 0.663823i
\(106\) −3.67125 + 1.22564i −0.356584 + 0.119045i
\(107\) 12.2985 3.03131i 1.18894 0.293047i 0.405254 0.914204i \(-0.367183\pi\)
0.783686 + 0.621157i \(0.213337\pi\)
\(108\) 1.76559 2.11236i 0.169894 0.203262i
\(109\) −0.812570 1.57011i −0.0778301 0.150389i 0.846011 0.533165i \(-0.178998\pi\)
−0.923841 + 0.382776i \(0.874968\pi\)
\(110\) 11.5371 3.12696i 1.10002 0.298144i
\(111\) 4.15140 + 8.49508i 0.394033 + 0.806317i
\(112\) 1.73875 + 4.92357i 0.164296 + 0.465234i
\(113\) −0.109127 3.79214i −0.0102658 0.356734i −0.988676 0.150064i \(-0.952052\pi\)
0.978411 0.206671i \(-0.0662628\pi\)
\(114\) −7.10563 26.8271i −0.665504 2.51258i
\(115\) 9.03281 10.3149i 0.842314 0.961870i
\(116\) −2.87218 1.72503i −0.266675 0.160165i
\(117\) 9.51500 + 6.48722i 0.879662 + 0.599744i
\(118\) 21.4560 8.85123i 1.97518 0.814821i
\(119\) −8.12892 + 1.80623i −0.745177 + 0.165577i
\(120\) −2.19068 2.03265i −0.199980 0.185555i
\(121\) 0.0783068 1.94316i 0.00711880 0.176651i
\(122\) 7.70100 3.49262i 0.697216 0.316207i
\(123\) 18.9849 5.85608i 1.71181 0.528025i
\(124\) −16.3148 6.29501i −1.46511 0.565308i
\(125\) −12.0662 + 1.25417i −1.07924 + 0.112177i
\(126\) 0.621463 8.29285i 0.0553643 0.738786i
\(127\) −1.70516 + 4.65708i −0.151308 + 0.413249i −0.991674 0.128771i \(-0.958897\pi\)
0.840366 + 0.542019i \(0.182340\pi\)
\(128\) 5.25173 + 0.423964i 0.464192 + 0.0374735i
\(129\) 19.8823 + 6.63770i 1.75054 + 0.584417i
\(130\) −11.1033 + 14.6001i −0.973824 + 1.28052i
\(131\) 13.1093 + 2.75495i 1.14537 + 0.240701i 0.739452 0.673210i \(-0.235085\pi\)
0.405915 + 0.913911i \(0.366953\pi\)
\(132\) 14.2241 8.10353i 1.23805 0.705322i
\(133\) 7.04428 + 5.81935i 0.610816 + 0.504601i
\(134\) 12.0573 + 11.9882i 1.04159 + 1.03562i
\(135\) 0.900462 + 2.08019i 0.0774994 + 0.179034i
\(136\) −0.692773 + 3.39343i −0.0594048 + 0.290984i
\(137\) 22.2086 0.511228i 1.89741 0.0436771i 0.941444 0.337169i \(-0.109469\pi\)
0.955962 + 0.293492i \(0.0948174\pi\)
\(138\) 15.7092 31.2297i 1.33725 2.65845i
\(139\) −11.9950 5.44007i −1.01740 0.461421i −0.166109 0.986107i \(-0.553120\pi\)
−0.851295 + 0.524687i \(0.824182\pi\)
\(140\) 7.05788 + 0.898219i 0.596499 + 0.0759134i
\(141\) 0.356743 2.46291i 0.0300432 0.207414i
\(142\) −4.11777 + 0.766861i −0.345556 + 0.0643535i
\(143\) −8.02452 11.3440i −0.671044 0.948636i
\(144\) 7.14413 + 3.85503i 0.595344 + 0.321252i
\(145\) 2.33148 1.47434i 0.193619 0.122437i
\(146\) 12.2832 10.3874i 1.01656 0.859666i
\(147\) −5.39333 8.86396i −0.444835 0.731087i
\(148\) −7.41966 + 5.71028i −0.609892 + 0.469382i
\(149\) 6.11466 6.22113i 0.500932 0.509655i −0.415637 0.909531i \(-0.636441\pi\)
0.916569 + 0.399876i \(0.130947\pi\)
\(150\) −6.15556 + 2.29407i −0.502599 + 0.187310i
\(151\) −2.10847 6.97778i −0.171585 0.567843i −0.999970 0.00768539i \(-0.997554\pi\)
0.828386 0.560158i \(-0.189260\pi\)
\(152\) 3.40474 1.68817i 0.276161 0.136929i
\(153\) −7.47633 + 10.5691i −0.604426 + 0.854460i
\(154\) −4.19701 + 9.11435i −0.338204 + 0.734456i
\(155\) 10.6664 9.67096i 0.856746 0.776790i
\(156\) −9.71328 + 23.1667i −0.777685 + 1.85482i
\(157\) −2.14025 2.56060i −0.170810 0.204359i 0.675037 0.737784i \(-0.264128\pi\)
−0.845847 + 0.533426i \(0.820904\pi\)
\(158\) −12.9256 9.48219i −1.02830 0.754363i
\(159\) −0.476164 4.33821i −0.0377623 0.344043i
\(160\) −8.04641 + 13.2243i −0.636125 + 1.04547i
\(161\) 1.78088 + 11.3710i 0.140353 + 0.896161i
\(162\) 13.1073 + 16.8298i 1.02981 + 1.32227i
\(163\) 1.13144 3.59449i 0.0886215 0.281542i −0.899106 0.437732i \(-0.855782\pi\)
0.987727 + 0.156190i \(0.0499211\pi\)
\(164\) 9.44186 + 17.2593i 0.737285 + 1.34772i
\(165\) 0.697665 + 13.4604i 0.0543132 + 1.04789i
\(166\) 18.7951 + 12.1903i 1.45878 + 0.946151i
\(167\) 0.0137490 0.796433i 0.00106393 0.0616299i −0.998844 0.0480674i \(-0.984694\pi\)
0.999908 0.0135625i \(-0.00431721\pi\)
\(168\) 2.48857 0.316707i 0.191997 0.0244345i
\(169\) 7.95268 + 2.45308i 0.611745 + 0.188698i
\(170\) −16.1952 12.7635i −1.24212 0.978917i
\(171\) 14.1902 0.653647i 1.08515 0.0499856i
\(172\) −2.50184 + 20.6045i −0.190764 + 1.57108i
\(173\) −9.44122 + 6.27900i −0.717802 + 0.477383i −0.858594 0.512656i \(-0.828662\pi\)
0.140792 + 0.990039i \(0.455035\pi\)
\(174\) 4.81345 5.12817i 0.364907 0.388765i
\(175\) 1.20806 1.79399i 0.0913206 0.135613i
\(176\) −6.45304 7.36896i −0.486416 0.555456i
\(177\) 4.64344 + 25.7561i 0.349022 + 1.93595i
\(178\) −2.23214 29.7858i −0.167306 2.23254i
\(179\) −16.0308 4.54357i −1.19820 0.339602i −0.385732 0.922611i \(-0.626051\pi\)
−0.812466 + 0.583009i \(0.801875\pi\)
\(180\) 9.06691 6.33577i 0.675808 0.472241i
\(181\) −4.44337 21.7651i −0.330273 1.61779i −0.718022 0.696021i \(-0.754952\pi\)
0.387748 0.921765i \(-0.373253\pi\)
\(182\) −3.42629 15.0116i −0.253973 1.11273i
\(183\) 2.01460 + 9.31963i 0.148924 + 0.688927i
\(184\) 4.62036 + 1.25228i 0.340618 + 0.0923193i
\(185\) −1.45491 7.57009i −0.106967 0.556564i
\(186\) 20.1528 30.6835i 1.47767 2.24982i
\(187\) 12.9065 8.79952i 0.943818 0.643484i
\(188\) 2.46017 0.141711i 0.179426 0.0103353i
\(189\) −1.82459 0.539899i −0.132720 0.0392718i
\(190\) −0.130184 + 22.6254i −0.00944457 + 1.64142i
\(191\) 0.0651212 + 1.02752i 0.00471200 + 0.0743490i 0.999661 0.0260315i \(-0.00828702\pi\)
−0.994949 + 0.100381i \(0.967994\pi\)
\(192\) −7.00263 + 23.1746i −0.505371 + 1.67248i
\(193\) −1.53271 9.10014i −0.110327 0.655043i −0.985295 0.170862i \(-0.945345\pi\)
0.874968 0.484181i \(-0.160882\pi\)
\(194\) −2.27404 18.7284i −0.163267 1.34462i
\(195\) −13.4460 15.7157i −0.962886 1.12543i
\(196\) 7.53156 6.98827i 0.537969 0.499162i
\(197\) −1.67197 + 2.42226i −0.119123 + 0.172579i −0.878009 0.478644i \(-0.841128\pi\)
0.758886 + 0.651223i \(0.225744\pi\)
\(198\) 4.68389 + 14.8803i 0.332870 + 1.05750i
\(199\) 17.7552 18.4851i 1.25863 1.31038i 0.327885 0.944717i \(-0.393664\pi\)
0.930749 0.365659i \(-0.119157\pi\)
\(200\) −0.476400 0.763050i −0.0336866 0.0539558i
\(201\) −16.0852 + 10.4327i −1.13456 + 0.735864i
\(202\) 9.67568 + 13.3497i 0.680778 + 0.939282i
\(203\) −0.305554 + 2.29539i −0.0214457 + 0.161105i
\(204\) −25.8511 11.3674i −1.80994 0.795874i
\(205\) −16.1880 + 0.559082i −1.13062 + 0.0390479i
\(206\) 16.7304 + 37.4610i 1.16566 + 2.61003i
\(207\) 13.9255 + 11.2369i 0.967888 + 0.781018i
\(208\) 14.7439 + 2.92171i 1.02230 + 0.202584i
\(209\) −16.3194 5.24029i −1.12884 0.362478i
\(210\) −4.97349 + 14.0833i −0.343203 + 0.971841i
\(211\) −17.7612 + 2.05297i −1.22273 + 0.141332i −0.701867 0.712308i \(-0.747650\pi\)
−0.520863 + 0.853640i \(0.674390\pi\)
\(212\) 4.11462 1.32123i 0.282593 0.0907427i
\(213\) 0.135858 4.72104i 0.00930882 0.323480i
\(214\) −25.6356 + 6.00656i −1.75242 + 0.410600i
\(215\) −14.2296 9.46355i −0.970449 0.645409i
\(216\) −0.514497 + 0.601347i −0.0350071 + 0.0409165i
\(217\) 0.486667 + 12.0765i 0.0330371 + 0.819808i
\(218\) 1.65141 + 3.28300i 0.111848 + 0.222353i
\(219\) 8.52186 + 16.0125i 0.575854 + 1.08202i
\(220\) −12.9211 + 3.34295i −0.871141 + 0.225382i
\(221\) −7.45965 + 22.7799i −0.501790 + 1.53234i
\(222\) −8.42570 17.7568i −0.565496 1.19176i
\(223\) −5.98667 7.87208i −0.400897 0.527154i 0.550618 0.834758i \(-0.314392\pi\)
−0.951514 + 0.307604i \(0.900473\pi\)
\(224\) −4.18583 12.3020i −0.279677 0.821960i
\(225\) −0.482014 3.32777i −0.0321343 0.221851i
\(226\) 0.136117 + 7.88478i 0.00905434 + 0.524488i
\(227\) −6.07113 + 9.72414i −0.402955 + 0.645414i −0.985946 0.167065i \(-0.946571\pi\)
0.582991 + 0.812479i \(0.301882\pi\)
\(228\) 7.58859 + 30.0431i 0.502566 + 1.98965i
\(229\) −1.04250 10.6238i −0.0688902 0.702042i −0.965706 0.259638i \(-0.916397\pi\)
0.896816 0.442404i \(-0.145874\pi\)
\(230\) −19.0219 + 21.2240i −1.25427 + 1.39947i
\(231\) −9.04532 6.79712i −0.595138 0.447217i
\(232\) 0.819887 + 0.505352i 0.0538282 + 0.0331780i
\(233\) −7.65063 9.37032i −0.501210 0.613870i 0.460594 0.887611i \(-0.347636\pi\)
−0.961804 + 0.273741i \(0.911739\pi\)
\(234\) −19.6223 13.7117i −1.28275 0.896359i
\(235\) −0.805995 + 1.86196i −0.0525773 + 0.121461i
\(236\) −24.0689 + 9.60651i −1.56675 + 0.625331i
\(237\) 13.5301 11.9866i 0.878874 0.778615i
\(238\) 16.9396 3.55990i 1.09803 0.230754i
\(239\) 2.57168 5.41970i 0.166348 0.350571i −0.803109 0.595832i \(-0.796822\pi\)
0.969457 + 0.245261i \(0.0788737\pi\)
\(240\) −10.5728 10.0390i −0.682474 0.648017i
\(241\) −1.89426 + 2.61354i −0.122020 + 0.168353i −0.866315 0.499498i \(-0.833518\pi\)
0.744296 + 0.667850i \(0.232785\pi\)
\(242\) −0.209246 + 4.03710i −0.0134509 + 0.259515i
\(243\) −18.4653 + 8.89243i −1.18455 + 0.570449i
\(244\) −8.64286 + 3.80048i −0.553303 + 0.243301i
\(245\) 2.35350 + 8.12524i 0.150360 + 0.519102i
\(246\) −39.6013 + 11.7181i −2.52489 + 0.747116i
\(247\) 24.7498 8.90081i 1.57479 0.566345i
\(248\) 4.66878 + 1.86343i 0.296468 + 0.118328i
\(249\) −17.9132 + 17.8104i −1.13520 + 1.12869i
\(250\) 25.1103 2.31824i 1.58812 0.146619i
\(251\) −20.2270 + 15.1996i −1.27672 + 0.959391i −0.999999 0.00155932i \(-0.999504\pi\)
−0.276719 + 0.960951i \(0.589247\pi\)
\(252\) −0.800401 + 9.25079i −0.0504205 + 0.582745i
\(253\) −11.0098 18.5726i −0.692181 1.16765i
\(254\) 3.65567 9.63921i 0.229377 0.604818i
\(255\) 17.9255 14.8085i 1.12254 0.927342i
\(256\) 9.66392 + 0.892195i 0.603995 + 0.0557622i
\(257\) −1.82837 + 1.12695i −0.114050 + 0.0702970i −0.580551 0.814224i \(-0.697163\pi\)
0.466501 + 0.884521i \(0.345515\pi\)
\(258\) −41.1678 14.2724i −2.56299 0.888562i
\(259\) 5.65907 + 3.13829i 0.351638 + 0.195004i
\(260\) 12.5842 16.1580i 0.780437 1.00208i
\(261\) 2.04508 + 2.96281i 0.126587 + 0.183393i
\(262\) −27.1826 6.03990i −1.67934 0.373146i
\(263\) 25.4831 4.44298i 1.57136 0.273966i 0.682059 0.731297i \(-0.261085\pi\)
0.889297 + 0.457331i \(0.151194\pi\)
\(264\) −4.11545 + 2.28226i −0.253288 + 0.140464i
\(265\) −0.550544 + 3.51526i −0.0338196 + 0.215941i
\(266\) −14.5027 12.2643i −0.889219 0.751975i
\(267\) 33.3598 + 4.63622i 2.04159 + 0.283732i
\(268\) −13.3077 13.5394i −0.812898 0.827052i
\(269\) 20.7178 + 9.68506i 1.26319 + 0.590508i 0.935182 0.354168i \(-0.115236\pi\)
0.328003 + 0.944677i \(0.393624\pi\)
\(270\) −1.82190 4.34533i −0.110877 0.264448i
\(271\) −4.35398 + 8.41310i −0.264485 + 0.511059i −0.982803 0.184656i \(-0.940883\pi\)
0.718318 + 0.695715i \(0.244912\pi\)
\(272\) −3.57013 + 16.5156i −0.216471 + 1.00140i
\(273\) 17.3610 0.199794i 1.05074 0.0120921i
\(274\) −46.1740 + 0.531378i −2.78947 + 0.0321017i
\(275\) −0.857236 + 3.96561i −0.0516933 + 0.239135i
\(276\) −17.9402 + 34.6655i −1.07987 + 2.08662i
\(277\) 4.53056 + 10.8056i 0.272215 + 0.649246i 0.999304 0.0372966i \(-0.0118746\pi\)
−0.727089 + 0.686543i \(0.759127\pi\)
\(278\) 24.8022 + 11.5944i 1.48754 + 0.695387i
\(279\) 13.1716 + 13.4010i 0.788564 + 0.802295i
\(280\) −2.02578 0.281535i −0.121063 0.0168250i
\(281\) 22.4019 + 18.9443i 1.33639 + 1.13012i 0.980700 + 0.195518i \(0.0626388\pi\)
0.355685 + 0.934606i \(0.384248\pi\)
\(282\) −0.800424 + 5.11076i −0.0476646 + 0.304341i
\(283\) −7.95721 + 4.41275i −0.473007 + 0.262311i −0.703410 0.710785i \(-0.748340\pi\)
0.230403 + 0.973095i \(0.425996\pi\)
\(284\) 4.60725 0.803275i 0.273390 0.0476656i
\(285\) −24.9052 5.53389i −1.47526 0.327799i
\(286\) 16.4081 + 23.7712i 0.970229 + 1.40562i
\(287\) 8.35479 10.7275i 0.493168 0.633226i
\(288\) −17.6676 9.79772i −1.04107 0.577336i
\(289\) −9.39799 3.25818i −0.552823 0.191658i
\(290\) −4.88137 + 3.00872i −0.286644 + 0.176678i
\(291\) 21.1830 + 1.95566i 1.24177 + 0.114643i
\(292\) −13.8474 + 11.4394i −0.810356 + 0.669443i
\(293\) 3.39098 8.94127i 0.198103 0.522355i −0.798747 0.601667i \(-0.794503\pi\)
0.996850 + 0.0793126i \(0.0252725\pi\)
\(294\) 10.9983 + 18.5533i 0.641435 + 1.08205i
\(295\) 1.83926 21.2576i 0.107086 1.23767i
\(296\) 2.15163 1.61684i 0.125061 0.0939772i
\(297\) 3.55431 0.328142i 0.206242 0.0190407i
\(298\) −12.8585 + 12.7847i −0.744871 + 0.740598i
\(299\) 30.7707 + 12.2814i 1.77951 + 0.710250i
\(300\) 6.90201 2.48219i 0.398488 0.143309i
\(301\) 13.7559 4.07039i 0.792878 0.234613i
\(302\) 4.21566 + 14.5541i 0.242584 + 0.837496i
\(303\) −17.0183 + 7.48338i −0.977679 + 0.429909i
\(304\) 16.7044 8.04441i 0.958063 0.461379i
\(305\) 0.402373 7.76320i 0.0230398 0.444519i
\(306\) 15.7928 21.7896i 0.902814 1.24563i
\(307\) 10.5534 + 10.0206i 0.602314 + 0.571904i 0.927536 0.373734i \(-0.121923\pi\)
−0.325222 + 0.945638i \(0.605439\pi\)
\(308\) 4.80297 10.1220i 0.273675 0.576757i
\(309\) −45.2730 + 9.51421i −2.57549 + 0.541245i
\(310\) −22.4021 + 19.8465i −1.27235 + 1.12720i
\(311\) −21.1805 + 8.45370i −1.20104 + 0.479365i −0.883298 0.468813i \(-0.844682\pi\)
−0.317739 + 0.948178i \(0.602924\pi\)
\(312\) 2.86867 6.62700i 0.162406 0.375180i
\(313\) −8.59395 6.00527i −0.485759 0.339438i 0.304190 0.952611i \(-0.401614\pi\)
−0.789948 + 0.613173i \(0.789893\pi\)
\(314\) 4.38737 + 5.37356i 0.247594 + 0.303247i
\(315\) −6.50809 4.01138i −0.366689 0.226016i
\(316\) 14.3093 + 10.7527i 0.804960 + 0.604888i
\(317\) 18.8580 21.0411i 1.05917 1.18179i 0.0763761 0.997079i \(-0.475665\pi\)
0.982794 0.184707i \(-0.0591335\pi\)
\(318\) 0.885962 + 9.02861i 0.0496823 + 0.506299i
\(319\) −1.06381 4.21160i −0.0595618 0.235804i
\(320\) 10.4529 16.7424i 0.584333 0.935927i
\(321\) −0.512457 29.6849i −0.0286026 1.65685i
\(322\) −3.42965 23.6779i −0.191127 1.31952i
\(323\) 9.52436 + 27.9917i 0.529950 + 1.55750i
\(324\) −14.4178 18.9585i −0.800989 1.05325i
\(325\) −2.66895 5.62470i −0.148047 0.312002i
\(326\) −2.43775 + 7.44428i −0.135014 + 0.412301i
\(327\) −4.01175 + 1.03792i −0.221850 + 0.0573970i
\(328\) −2.65692 4.99232i −0.146704 0.275655i
\(329\) −0.765357 1.52152i −0.0421955 0.0838844i
\(330\) −1.12816 27.9950i −0.0621031 1.54107i
\(331\) 15.3788 17.9748i 0.845296 0.987987i −0.154704 0.987961i \(-0.549442\pi\)
1.00000 2.59395e-5i \(-8.25681e-6\pi\)
\(332\) −20.8277 13.8517i −1.14307 0.760210i
\(333\) 9.79507 2.29504i 0.536767 0.125767i
\(334\) −0.0476291 + 1.65510i −0.00260615 + 0.0905632i
\(335\) 14.8823 4.77881i 0.813107 0.261094i
\(336\) 12.1580 1.40531i 0.663271 0.0766658i
\(337\) 0.347171 0.983076i 0.0189116 0.0535516i −0.933093 0.359635i \(-0.882901\pi\)
0.952005 + 0.306083i \(0.0990185\pi\)
\(338\) −16.4714 5.28909i −0.895927 0.287689i
\(339\) −8.72251 1.72849i −0.473742 0.0938789i
\(340\) 17.9176 + 14.4583i 0.971719 + 0.784110i
\(341\) −9.24559 20.7018i −0.500677 1.12106i
\(342\) −29.5108 + 1.01921i −1.59576 + 0.0551124i
\(343\) −16.7795 7.37838i −0.906010 0.398395i
\(344\) 0.787300 5.91438i 0.0424484 0.318882i
\(345\) −18.8598 26.0213i −1.01538 1.40094i
\(346\) 19.7743 12.8254i 1.06307 0.689498i
\(347\) 10.8860 + 17.4362i 0.584392 + 0.936022i 0.999654 + 0.0263196i \(0.00837874\pi\)
−0.415261 + 0.909702i \(0.636310\pi\)
\(348\) −5.44000 + 5.66364i −0.291614 + 0.303603i
\(349\) 3.57153 + 11.3464i 0.191180 + 0.607359i 0.999818 + 0.0190541i \(0.00606548\pi\)
−0.808639 + 0.588305i \(0.799795\pi\)
\(350\) −2.55393 + 3.70001i −0.136513 + 0.197774i
\(351\) −4.01514 + 3.72551i −0.214313 + 0.198853i
\(352\) 15.8472 + 18.5223i 0.844658 + 0.987240i
\(353\) −3.11866 25.6844i −0.165989 1.36704i −0.802903 0.596110i \(-0.796712\pi\)
0.636914 0.770935i \(-0.280211\pi\)
\(354\) −9.03555 53.6466i −0.480234 2.85129i
\(355\) −1.11378 + 3.68597i −0.0591136 + 0.195631i
\(356\) 2.10943 + 33.2839i 0.111799 + 1.76404i
\(357\) −0.112304 + 19.5179i −0.00594374 + 1.03299i
\(358\) 33.2122 + 9.82752i 1.75532 + 0.519401i
\(359\) 2.90530 0.167351i 0.153336 0.00883245i 0.0193313 0.999813i \(-0.493846\pi\)
0.134005 + 0.990981i \(0.457216\pi\)
\(360\) −2.62719 + 1.79119i −0.138465 + 0.0944041i
\(361\) 7.38017 11.2366i 0.388430 0.591403i
\(362\) 8.71517 + 45.3462i 0.458059 + 2.38335i
\(363\) −4.39957 1.19244i −0.230918 0.0625868i
\(364\) 3.63250 + 16.8041i 0.190395 + 0.880773i
\(365\) −3.29072 14.4176i −0.172244 0.754650i
\(366\) −3.96453 19.4196i −0.207229 1.01508i
\(367\) −3.03805 + 2.12293i −0.158585 + 0.110816i −0.649397 0.760450i \(-0.724979\pi\)
0.490812 + 0.871266i \(0.336700\pi\)
\(368\) 22.4696 + 6.36849i 1.17131 + 0.331981i
\(369\) −1.57973 21.0801i −0.0822377 1.09739i
\(370\) 2.84303 + 15.7697i 0.147802 + 0.819826i
\(371\) −1.96775 2.24705i −0.102161 0.116661i
\(372\) −22.8943 + 33.9985i −1.18702 + 1.76274i
\(373\) −17.7630 + 18.9244i −0.919734 + 0.979869i −0.999857 0.0169159i \(-0.994615\pi\)
0.0801229 + 0.996785i \(0.474469\pi\)
\(374\) −27.0374 + 17.9816i −1.39807 + 0.929805i
\(375\) −3.42741 + 28.2272i −0.176991 + 1.45765i
\(376\) −0.707632 + 0.0325958i −0.0364933 + 0.00168100i
\(377\) 5.23528 + 4.12594i 0.269630 + 0.212497i
\(378\) 3.77961 + 1.16585i 0.194402 + 0.0599651i
\(379\) −11.1373 + 1.41739i −0.572086 + 0.0728064i −0.406927 0.913461i \(-0.633400\pi\)
−0.165159 + 0.986267i \(0.552814\pi\)
\(380\) 0.436053 25.2591i 0.0223691 1.29577i
\(381\) 9.75275 + 6.32553i 0.499648 + 0.324067i
\(382\) −0.110779 2.13732i −0.00566796 0.109355i
\(383\) 8.00924 + 14.6405i 0.409253 + 0.748095i 0.998193 0.0600817i \(-0.0191361\pi\)
−0.588941 + 0.808176i \(0.700455\pi\)
\(384\) 3.70797 11.7799i 0.189221 0.601138i
\(385\) 5.66803 + 7.27773i 0.288869 + 0.370908i
\(386\) 2.96815 + 18.9518i 0.151075 + 0.964622i
\(387\) 11.5929 19.0529i 0.589299 0.968515i
\(388\) 2.29828 + 20.9391i 0.116677 + 1.06302i
\(389\) −10.1355 7.43537i −0.513888 0.376988i 0.303721 0.952761i \(-0.401771\pi\)
−0.817610 + 0.575773i \(0.804701\pi\)
\(390\) 27.5723 + 32.9877i 1.39618 + 1.67040i
\(391\) −14.4015 + 34.3482i −0.728314 + 1.73706i
\(392\) −2.18802 + 1.98383i −0.110512 + 0.100198i
\(393\) 13.1329 28.5198i 0.662467 1.43863i
\(394\) 3.53322 4.99482i 0.178001 0.251635i
\(395\) −13.2032 + 6.54653i −0.664323 + 0.329392i
\(396\) −5.03827 16.6737i −0.253182 0.837884i
\(397\) 5.93266 2.21100i 0.297752 0.110967i −0.195908 0.980622i \(-0.562765\pi\)
0.493659 + 0.869655i \(0.335659\pi\)
\(398\) −37.3474 + 37.9977i −1.87206 + 1.90465i
\(399\) 16.9721 13.0620i 0.849670 0.653919i
\(400\) −2.28122 3.74920i −0.114061 0.187460i
\(401\) 7.30360 6.17634i 0.364724 0.308432i −0.444673 0.895693i \(-0.646680\pi\)
0.809398 + 0.587261i \(0.199794\pi\)
\(402\) 33.6835 21.3001i 1.67998 1.06235i
\(403\) 30.6179 + 16.5217i 1.52519 + 0.823002i
\(404\) −10.6312 15.0290i −0.528919 0.747719i
\(405\) 19.2789 3.59034i 0.957975 0.178406i
\(406\) 0.690018 4.76380i 0.0342450 0.236423i
\(407\) −12.0418 1.53249i −0.596887 0.0759628i
\(408\) 7.39316 + 3.35300i 0.366016 + 0.165998i
\(409\) −6.36625 + 12.6561i −0.314791 + 0.625802i −0.994151 0.108003i \(-0.965554\pi\)
0.679360 + 0.733805i \(0.262258\pi\)
\(410\) 33.6611 0.774858i 1.66240 0.0382675i
\(411\) 10.4151 51.0165i 0.513739 2.51646i
\(412\) −18.1978 42.0393i −0.896540 2.07113i
\(413\) 12.7016 + 12.6288i 0.625007 + 0.621421i
\(414\) −28.6761 23.6896i −1.40935 1.16428i
\(415\) 17.8943 10.1944i 0.878394 0.500425i
\(416\) −36.6060 7.69284i −1.79476 0.377172i
\(417\) −18.6876 + 24.5730i −0.915136 + 1.20335i
\(418\) 33.7955 + 11.2826i 1.65299 + 0.551850i
\(419\) 10.6093 + 0.856468i 0.518297 + 0.0418412i 0.336848 0.941559i \(-0.390639\pi\)
0.181449 + 0.983400i \(0.441921\pi\)
\(420\) 5.73374 15.6598i 0.279778 0.764120i
\(421\) 0.580883 7.75134i 0.0283105 0.377777i −0.964996 0.262266i \(-0.915530\pi\)
0.993306 0.115511i \(-0.0368507\pi\)
\(422\) 36.9667 3.84236i 1.79951 0.187043i
\(423\) −2.47038 0.953186i −0.120114 0.0463455i
\(424\) −1.18710 + 0.366170i −0.0576504 + 0.0177828i
\(425\) 6.37400 2.89079i 0.309185 0.140224i
\(426\) −0.395317 + 9.80969i −0.0191532 + 0.475281i
\(427\) 4.78358 + 4.43851i 0.231494 + 0.214795i
\(428\) 28.6988 6.37680i 1.38721 0.308234i
\(429\) −30.1081 + 12.4205i −1.45364 + 0.599667i
\(430\) 29.3506 + 20.0109i 1.41541 + 0.965011i
\(431\) −30.7107 18.4448i −1.47928 0.888457i −0.999941 0.0108281i \(-0.996553\pi\)
−0.479341 0.877629i \(-0.659124\pi\)
\(432\) −2.54368 + 2.90472i −0.122383 + 0.139753i
\(433\) 6.48112 + 24.4692i 0.311463 + 1.17592i 0.923031 + 0.384725i \(0.125704\pi\)
−0.611569 + 0.791191i \(0.709461\pi\)
\(434\) −0.722690 25.1134i −0.0346902 1.20548i
\(435\) −2.15305 6.09674i −0.103231 0.292316i
\(436\) −1.80158 3.68661i −0.0862802 0.176557i
\(437\) 39.4446 10.6909i 1.88689 0.511414i
\(438\) −17.3301 33.4867i −0.828066 1.60005i
\(439\) 7.07408 8.46347i 0.337627 0.403940i −0.571403 0.820670i \(-0.693601\pi\)
0.909030 + 0.416730i \(0.136824\pi\)
\(440\) 3.72516 0.918170i 0.177590 0.0437720i
\(441\) −10.4718 + 3.49599i −0.498656 + 0.166476i
\(442\) 16.0502 47.1709i 0.763430 2.24369i
\(443\) −14.0260 2.61209i −0.666396 0.124104i −0.160950 0.986963i \(-0.551456\pi\)
−0.505446 + 0.862858i \(0.668672\pi\)
\(444\) 9.17896 + 19.9333i 0.435614 + 0.945993i
\(445\) −25.2617 10.7630i −1.19752 0.510216i
\(446\) 12.2553 + 16.5058i 0.580306 + 0.781571i
\(447\) −11.0270 17.2177i −0.521558 0.814367i
\(448\) 5.15625 + 15.7459i 0.243610 + 0.743924i
\(449\) −3.35898 + 3.18939i −0.158520 + 0.150517i −0.763698 0.645574i \(-0.776618\pi\)
0.605178 + 0.796090i \(0.293102\pi\)
\(450\) 0.922293 + 6.92848i 0.0434773 + 0.326612i
\(451\) −7.09640 + 24.4996i −0.334157 + 1.15364i
\(452\) −0.0506626 8.80492i −0.00238297 0.414149i
\(453\) −17.0450 + 1.17876i −0.800842 + 0.0553830i
\(454\) 12.8518 20.0669i 0.603164 0.941788i
\(455\) −13.7039 3.54546i −0.642447 0.166214i
\(456\) −2.08192 8.66083i −0.0974947 0.405581i
\(457\) 5.35313 3.83309i 0.250409 0.179304i −0.450037 0.893010i \(-0.648589\pi\)
0.700446 + 0.713706i \(0.252985\pi\)
\(458\) 1.91276 + 22.1071i 0.0893776 + 1.03300i
\(459\) −4.10960 4.58535i −0.191820 0.214026i
\(460\) 21.5103 23.4517i 1.00292 1.09344i
\(461\) −0.878522 + 8.00399i −0.0409168 + 0.372783i 0.955940 + 0.293562i \(0.0948406\pi\)
−0.996857 + 0.0792216i \(0.974757\pi\)
\(462\) 18.6386 + 14.3446i 0.867147 + 0.667369i
\(463\) −9.81967 + 1.36470i −0.456359 + 0.0634232i −0.362130 0.932127i \(-0.617950\pi\)
−0.0942284 + 0.995551i \(0.530038\pi\)
\(464\) 3.97135 + 2.51133i 0.184365 + 0.116586i
\(465\) −16.5363 29.4184i −0.766852 1.36425i
\(466\) 15.6781 + 19.6598i 0.726275 + 0.910720i
\(467\) 13.8853 23.4234i 0.642537 1.08391i −0.346755 0.937956i \(-0.612717\pi\)
0.989292 0.145951i \(-0.0466241\pi\)
\(468\) 21.7317 + 15.5609i 1.00455 + 0.719301i
\(469\) −4.93396 + 12.1582i −0.227829 + 0.561415i
\(470\) 1.71985 3.85090i 0.0793305 0.177629i
\(471\) −6.96765 + 3.55525i −0.321052 + 0.163817i
\(472\) 6.95024 2.68172i 0.319911 0.123436i
\(473\) −21.1357 + 16.6571i −0.971819 + 0.765894i
\(474\) −28.4098 + 24.5912i −1.30491 + 1.12951i
\(475\) −6.79998 3.56891i −0.312005 0.163753i
\(476\) −18.9584 + 3.75690i −0.868959 + 0.172197i
\(477\) −4.61289 0.533191i −0.211210 0.0244132i
\(478\) −5.47502 + 11.2036i −0.250421 + 0.512442i
\(479\) 7.78870 40.5257i 0.355875 1.85167i −0.149495 0.988762i \(-0.547765\pi\)
0.505370 0.862903i \(-0.331356\pi\)
\(480\) 26.0227 + 25.2846i 1.18777 + 1.15408i
\(481\) 16.0777 9.40624i 0.733081 0.428887i
\(482\) 3.99983 5.38707i 0.182187 0.245375i
\(483\) 26.9133 + 1.86121i 1.22460 + 0.0846881i
\(484\) 0.285490 4.50464i 0.0129768 0.204757i
\(485\) −16.2516 6.05669i −0.737947 0.275020i
\(486\) 38.5939 18.0417i 1.75065 0.818388i
\(487\) −20.1729 18.2902i −0.914119 0.828809i 0.0715606 0.997436i \(-0.477202\pi\)
−0.985680 + 0.168627i \(0.946067\pi\)
\(488\) 2.49692 1.06384i 0.113030 0.0481576i
\(489\) −7.62381 4.46029i −0.344761 0.201701i
\(490\) −4.69753 16.9451i −0.212213 0.765500i
\(491\) −5.38238 14.7002i −0.242904 0.663410i −0.999950 0.0100488i \(-0.996801\pi\)
0.757046 0.653362i \(-0.226642\pi\)
\(492\) 44.3645 12.5741i 2.00011 0.566885i
\(493\) −4.73918 + 5.80444i −0.213442 + 0.261419i
\(494\) −51.6567 + 17.9088i −2.32414 + 0.805756i
\(495\) 14.1281 + 2.46323i 0.635009 + 0.110714i
\(496\) 22.6715 + 9.35266i 1.01798 + 0.419947i
\(497\) −1.77448 2.70173i −0.0795965 0.121189i
\(498\) 37.6596 36.5915i 1.68757 1.63970i
\(499\) 7.02898 25.3551i 0.314661 1.13505i −0.621481 0.783429i \(-0.713469\pi\)
0.936142 0.351623i \(-0.114370\pi\)
\(500\) −28.0649 + 2.26563i −1.25510 + 0.101322i
\(501\) −1.81280 0.446814i −0.0809898 0.0199622i
\(502\) 42.4066 31.1094i 1.89270 1.38848i
\(503\) 13.8952 + 15.1494i 0.619558 + 0.675479i 0.964785 0.263041i \(-0.0847254\pi\)
−0.345227 + 0.938519i \(0.612198\pi\)
\(504\) 0.260672 2.65644i 0.0116113 0.118327i
\(505\) 14.9876 2.25902i 0.666940 0.100525i
\(506\) 22.4402 + 38.8676i 0.997591 + 1.72788i
\(507\) 9.75352 16.8936i 0.433169 0.750271i
\(508\) −4.20532 + 10.7150i −0.186581 + 0.475401i
\(509\) −11.3535 + 5.95877i −0.503235 + 0.264118i −0.697182 0.716894i \(-0.745563\pi\)
0.193948 + 0.981012i \(0.437871\pi\)
\(510\) −37.6135 + 30.3514i −1.66555 + 1.34398i
\(511\) 11.0578 + 5.64224i 0.489168 + 0.249598i
\(512\) −30.5468 3.17506i −1.34999 0.140319i
\(513\) −1.19874 + 6.64916i −0.0529258 + 0.293568i
\(514\) 3.82732 2.29869i 0.168816 0.101391i
\(515\) 37.6540 + 2.16895i 1.65924 + 0.0955751i
\(516\) 45.7795 + 16.4638i 2.01533 + 0.724777i
\(517\) 2.39146 + 2.11865i 0.105176 + 0.0931782i
\(518\) −11.6876 6.65849i −0.513525 0.292557i
\(519\) 9.42418 + 24.8495i 0.413675 + 1.09077i
\(520\) −3.67070 + 4.60292i −0.160971 + 0.201851i
\(521\) −6.22630 1.01187i −0.272779 0.0443309i 0.0224829 0.999747i \(-0.492843\pi\)
−0.295262 + 0.955416i \(0.595407\pi\)
\(522\) −4.17994 6.20728i −0.182951 0.271685i
\(523\) 4.37852 16.5310i 0.191459 0.722848i −0.800828 0.598894i \(-0.795607\pi\)
0.992288 0.123954i \(-0.0395577\pi\)
\(524\) 30.2711 + 7.09267i 1.32240 + 0.309845i
\(525\) −3.46944 3.69628i −0.151419 0.161319i
\(526\) −53.0744 + 8.62542i −2.31415 + 0.376086i
\(527\) −19.1646 + 34.0942i −0.834824 + 1.48517i
\(528\) −20.2049 + 10.9027i −0.879304 + 0.474480i
\(529\) 25.5151 + 12.6512i 1.10935 + 0.550052i
\(530\) 1.22842 7.29349i 0.0533592 0.316809i
\(531\) 27.8169 + 1.28134i 1.20715 + 0.0556053i
\(532\) 16.0344 + 13.8792i 0.695179 + 0.601739i
\(533\) −14.2995 36.4345i −0.619379 1.57815i
\(534\) −69.2293 10.4346i −2.99584 0.451551i
\(535\) −5.92781 + 23.4681i −0.256281 + 1.01461i
\(536\) 3.78044 + 3.93586i 0.163290 + 0.170003i
\(537\) −18.7439 + 34.2630i −0.808859 + 1.47856i
\(538\) −42.8314 20.6265i −1.84659 0.889272i
\(539\) 13.3129 + 0.459784i 0.573427 + 0.0198043i
\(540\) 1.97828 + 4.87487i 0.0851316 + 0.209781i
\(541\) −7.98420 + 33.2145i −0.343267 + 1.42800i 0.488348 + 0.872649i \(0.337600\pi\)
−0.831615 + 0.555353i \(0.812583\pi\)
\(542\) 9.25123 17.3829i 0.397374 0.746662i
\(543\) −52.0540 1.19825i −2.23385 0.0514219i
\(544\) 9.35713 40.9963i 0.401184 1.75770i
\(545\) 3.37817 + 0.0388766i 0.144705 + 0.00166529i
\(546\) −36.0907 −1.54454
\(547\) 15.5772 + 17.4457i 0.666031 + 0.745924i
\(548\) 51.5590 2.20249
\(549\) 10.1445 + 0.116745i 0.432956 + 0.00498254i
\(550\) 1.87667 8.22224i 0.0800215 0.350597i
\(551\) 8.22009 + 0.189221i 0.350187 + 0.00806110i
\(552\) 5.27149 9.90506i 0.224369 0.421587i
\(553\) 2.89142 12.0284i 0.122956 0.511499i
\(554\) −9.15855 22.5684i −0.389109 0.958841i
\(555\) −18.0576 0.623651i −0.766503 0.0264725i
\(556\) −27.5421 13.2636i −1.16805 0.562501i
\(557\) −18.8545 + 34.4651i −0.798890 + 1.46033i 0.0868855 + 0.996218i \(0.472309\pi\)
−0.885775 + 0.464114i \(0.846373\pi\)
\(558\) −27.0574 28.1697i −1.14543 1.19252i
\(559\) 10.1129 40.0368i 0.427730 1.69338i
\(560\) −9.86671 1.48717i −0.416945 0.0628443i
\(561\) −13.3765 34.0829i −0.564758 1.43898i
\(562\) −46.1104 39.9127i −1.94505 1.68362i
\(563\) −8.34164 0.384243i −0.351558 0.0161939i −0.130483 0.991451i \(-0.541653\pi\)
−0.221076 + 0.975257i \(0.570957\pi\)
\(564\) 0.959322 5.69576i 0.0403947 0.239835i
\(565\) 6.49502 + 3.22043i 0.273248 + 0.135485i
\(566\) 16.6451 8.98181i 0.699644 0.377534i
\(567\) −8.06636 + 14.3502i −0.338755 + 0.602652i
\(568\) −1.32699 + 0.215656i −0.0556792 + 0.00904874i
\(569\) 9.76493 + 10.4034i 0.409367 + 0.436133i 0.900436 0.434988i \(-0.143247\pi\)
−0.491069 + 0.871121i \(0.663394\pi\)
\(570\) 51.6346 + 12.0982i 2.16273 + 0.506740i
\(571\) −5.39544 + 20.3703i −0.225792 + 0.852470i 0.754726 + 0.656040i \(0.227770\pi\)
−0.980518 + 0.196430i \(0.937065\pi\)
\(572\) −18.0138 26.7508i −0.753194 1.11851i
\(573\) 2.38201 + 0.387114i 0.0995098 + 0.0161719i
\(574\) −17.6225 + 22.0979i −0.735549 + 0.922350i
\(575\) −3.43035 9.04508i −0.143055 0.377206i
\(576\) 22.3816 + 12.7509i 0.932568 + 0.531288i
\(577\) −16.2412 14.3885i −0.676131 0.599000i 0.253569 0.967317i \(-0.418395\pi\)
−0.929700 + 0.368318i \(0.879934\pi\)
\(578\) 19.4563 + 6.99712i 0.809276 + 0.291042i
\(579\) −21.5946 1.24389i −0.897440 0.0516943i
\(580\) 5.48860 3.29645i 0.227902 0.136878i
\(581\) −3.06731 + 17.0137i −0.127254 + 0.705848i
\(582\) −43.9832 4.57166i −1.82316 0.189501i
\(583\) 4.99084 + 2.54658i 0.206699 + 0.105468i
\(584\) 4.01820 3.24240i 0.166274 0.134172i
\(585\) −19.4859 + 10.2270i −0.805642 + 0.422833i
\(586\) −7.26221 + 18.5038i −0.299999 + 0.764386i
\(587\) 16.0311 27.7667i 0.661676 1.14606i −0.318500 0.947923i \(-0.603179\pi\)
0.980175 0.198133i \(-0.0634877\pi\)
\(588\) −12.0410 20.8556i −0.496562 0.860070i
\(589\) 42.4362 6.39622i 1.74855 0.263552i
\(590\) −4.33150 + 44.1411i −0.178325 + 1.81726i
\(591\) 4.66318 + 5.08408i 0.191818 + 0.209131i
\(592\) 10.5872 7.76679i 0.435133 0.319213i
\(593\) 4.73679 + 1.16751i 0.194517 + 0.0479440i 0.335370 0.942086i \(-0.391139\pi\)
−0.140854 + 0.990030i \(0.544985\pi\)
\(594\) −7.39569 + 0.597041i −0.303449 + 0.0244969i
\(595\) 4.25104 15.3345i 0.174276 0.628652i
\(596\) 14.5205 14.1086i 0.594781 0.577911i
\(597\) −32.9807 50.2146i −1.34981 2.05515i
\(598\) −63.6648 26.2636i −2.60345 1.07400i
\(599\) −11.5127 2.00724i −0.470396 0.0820136i −0.0684060 0.997658i \(-0.521791\pi\)
−0.401990 + 0.915644i \(0.631681\pi\)
\(600\) −1.99216 + 0.690660i −0.0813295 + 0.0281961i
\(601\) 18.9428 23.2008i 0.772695 0.946379i −0.226926 0.973912i \(-0.572868\pi\)
0.999621 + 0.0275326i \(0.00876501\pi\)
\(602\) −28.6898 + 8.13148i −1.16931 + 0.331414i
\(603\) 7.01372 + 19.1556i 0.285621 + 0.780078i
\(604\) −4.51968 16.3035i −0.183903 0.663381i
\(605\) 3.20767 + 1.87664i 0.130410 + 0.0762962i
\(606\) 35.5526 15.1475i 1.44423 0.615327i
\(607\) −12.0977 10.9687i −0.491031 0.445205i 0.388218 0.921567i \(-0.373091\pi\)
−0.879249 + 0.476362i \(0.841955\pi\)
\(608\) −41.7988 + 19.5399i −1.69517 + 0.792449i
\(609\) 5.08595 + 1.89545i 0.206093 + 0.0768073i
\(610\) −1.02205 + 16.1266i −0.0413817 + 0.652948i
\(611\) −4.89100 0.338242i −0.197869 0.0136838i
\(612\) −17.9123 + 24.1247i −0.724060 + 0.975182i
\(613\) 1.39484 0.816047i 0.0563370 0.0329598i −0.476537 0.879154i \(-0.658108\pi\)
0.532874 + 0.846194i \(0.321112\pi\)
\(614\) −21.6961 21.0807i −0.875584 0.850749i
\(615\) −7.16561 + 37.2836i −0.288945 + 1.50342i
\(616\) −1.41407 + 2.89364i −0.0569746 + 0.116588i
\(617\) 0.899482 + 0.103969i 0.0362118 + 0.00418562i 0.132910 0.991128i \(-0.457568\pi\)
−0.0966979 + 0.995314i \(0.530828\pi\)
\(618\) 94.3300 18.6929i 3.79451 0.751938i
\(619\) 26.0657 + 13.6803i 1.04767 + 0.549860i 0.898510 0.438953i \(-0.144651\pi\)
0.149160 + 0.988813i \(0.452343\pi\)
\(620\) 25.2664 21.8703i 1.01472 0.878333i
\(621\) −6.68435 + 5.26796i −0.268234 + 0.211396i
\(622\) 44.2271 17.0648i 1.77335 0.684238i
\(623\) 20.5321 10.4765i 0.822601 0.419732i
\(624\) 14.3665 32.1680i 0.575120 1.28775i
\(625\) 6.18222 15.2342i 0.247289 0.609368i
\(626\) 17.7193 + 12.6879i 0.708208 + 0.507109i
\(627\) −20.4866 + 34.5592i −0.818155 + 1.38016i
\(628\) −4.82936 6.05582i −0.192712 0.241654i
\(629\) 10.2607 + 18.2540i 0.409122 + 0.727836i
\(630\) 13.4315 + 8.49355i 0.535123 + 0.338391i
\(631\) 38.4080 5.33781i 1.52900 0.212495i 0.676979 0.736003i \(-0.263289\pi\)
0.852021 + 0.523508i \(0.175377\pi\)
\(632\) −4.07756 3.13815i −0.162196 0.124829i
\(633\) −4.57237 + 41.6577i −0.181735 + 1.65574i
\(634\) −39.7007 + 43.2840i −1.57672 + 1.71903i
\(635\) −6.32527 7.05753i −0.251011 0.280069i
\(636\) −0.873152 10.0916i −0.0346227 0.400159i
\(637\) −16.6196 + 11.9004i −0.658492 + 0.471510i
\(638\) 2.11044 + 8.77950i 0.0835532 + 0.347584i
\(639\) −4.86509 1.25870i −0.192460 0.0497933i
\(640\) −5.43012 + 8.47865i −0.214644 + 0.335148i
\(641\) −39.5803 + 2.73721i −1.56333 + 0.108113i −0.824531 0.565817i \(-0.808561\pi\)
−0.738795 + 0.673930i \(0.764605\pi\)
\(642\) 0.355096 + 61.7140i 0.0140145 + 2.43566i
\(643\) 8.39456 28.9814i 0.331049 1.14291i −0.606506 0.795079i \(-0.707430\pi\)
0.937555 0.347836i \(-0.113083\pi\)
\(644\) 3.52490 + 26.4799i 0.138901 + 1.04345i
\(645\) −29.0473 + 27.5808i −1.14374 + 1.08599i
\(646\) −19.1273 58.4101i −0.752555 2.29812i
\(647\) −23.2239 36.2620i −0.913024 1.42561i −0.904892 0.425640i \(-0.860049\pi\)
−0.00813177 0.999967i \(-0.502588\pi\)
\(648\) 4.08160 + 5.49721i 0.160341 + 0.215951i
\(649\) −30.9110 13.1699i −1.21336 0.516966i
\(650\) 5.41302 + 11.7551i 0.212316 + 0.461073i
\(651\) 27.8505 + 5.18665i 1.09155 + 0.203281i
\(652\) 2.81734 8.28005i 0.110336 0.324272i
\(653\) 37.2671 12.4416i 1.45838 0.486877i 0.526663 0.850074i \(-0.323443\pi\)
0.931712 + 0.363197i \(0.118315\pi\)
\(654\) 8.36347 2.06141i 0.327038 0.0806075i
\(655\) −16.4167 + 19.6411i −0.641455 + 0.767441i
\(656\) −12.6812 24.5036i −0.495117 0.956704i
\(657\) 18.6278 5.04880i 0.726741 0.196972i
\(658\) 1.55444 + 3.18088i 0.0605985 + 0.124004i
\(659\) 11.1136 + 31.4702i 0.432926 + 1.22591i 0.932985 + 0.359915i \(0.117194\pi\)
−0.500059 + 0.865991i \(0.666688\pi\)
\(660\) 0.899866 + 31.2702i 0.0350273 + 1.21719i
\(661\) 7.18318 + 27.1198i 0.279393 + 1.05484i 0.949803 + 0.312848i \(0.101283\pi\)
−0.670410 + 0.741991i \(0.733882\pi\)
\(662\) −32.3957 + 36.9939i −1.25909 + 1.43781i
\(663\) 48.1647 + 28.9277i 1.87056 + 1.12346i
\(664\) 5.94098 + 4.05049i 0.230555 + 0.157190i
\(665\) −16.1410 + 6.65865i −0.625923 + 0.258211i
\(666\) −20.4145 + 4.53606i −0.791046 + 0.175769i
\(667\) 7.59239 + 7.04471i 0.293979 + 0.272772i
\(668\) 0.0744425 1.84727i 0.00288027 0.0714731i
\(669\) −21.1113 + 9.57457i −0.816211 + 0.370174i
\(670\) −31.0480 + 9.57704i −1.19949 + 0.369993i
\(671\) −11.4206 4.40658i −0.440886 0.170114i
\(672\) −30.2950 + 3.14889i −1.16866 + 0.121471i
\(673\) −0.260956 + 3.48222i −0.0100591 + 0.134230i −0.999972 0.00744582i \(-0.997630\pi\)
0.989913 + 0.141675i \(0.0452489\pi\)
\(674\) −0.745130 + 2.03507i −0.0287013 + 0.0783881i
\(675\) 1.59409 + 0.128689i 0.0613567 + 0.00495323i
\(676\) 18.3220 + 6.11678i 0.704692 + 0.235261i
\(677\) −19.5844 + 25.7523i −0.752692 + 0.989741i 0.247093 + 0.968992i \(0.420525\pi\)
−0.999785 + 0.0207494i \(0.993395\pi\)
\(678\) 18.0889 + 3.80142i 0.694699 + 0.145993i
\(679\) 12.6502 7.20685i 0.485469 0.276574i
\(680\) −5.10250 4.21522i −0.195672 0.161646i
\(681\) 19.0546 + 18.9452i 0.730173 + 0.725983i
\(682\) 18.7223 + 43.2510i 0.716913 + 1.65617i
\(683\) 0.0138844 0.0680105i 0.000531273 0.00260235i −0.979524 0.201327i \(-0.935475\pi\)
0.980055 + 0.198724i \(0.0636798\pi\)
\(684\) 32.9612 0.758748i 1.26030 0.0290114i
\(685\) −19.0761 + 37.9231i −0.728860 + 1.44897i
\(686\) 34.7007 + 15.7377i 1.32488 + 0.600870i
\(687\) −24.8207 3.15881i −0.946970 0.120516i
\(688\) 4.17279 28.8084i 0.159086 1.09831i
\(689\) −8.45249 + 1.57412i −0.322014 + 0.0599693i
\(690\) 38.5788 + 54.5378i 1.46867 + 2.07622i
\(691\) 4.34805 + 2.34624i 0.165408 + 0.0892553i 0.555484 0.831527i \(-0.312533\pi\)
−0.390076 + 0.920783i \(0.627551\pi\)
\(692\) −22.2423 + 14.0652i −0.845527 + 0.534679i
\(693\) −9.19243 + 7.77365i −0.349192 + 0.295297i
\(694\) −22.2101 36.5024i −0.843085 1.38561i
\(695\) 19.9459 15.3507i 0.756592 0.582284i
\(696\) 1.58243 1.60999i 0.0599820 0.0610264i
\(697\) 41.2302 15.3658i 1.56171 0.582021i
\(698\) −7.15221 23.6696i −0.270715 0.895907i
\(699\) −25.4029 + 12.5955i −0.960827 + 0.476407i
\(700\) 2.89895 4.09816i 0.109570 0.154896i
\(701\) 13.9726 30.3434i 0.527738 1.14605i −0.440895 0.897559i \(-0.645339\pi\)
0.968633 0.248495i \(-0.0799359\pi\)
\(702\) 8.43482 7.64764i 0.318352 0.288641i
\(703\) 8.88442 21.1898i 0.335082 0.799188i
\(704\) −19.9327 23.8476i −0.751242 0.898791i
\(705\) 3.83446 + 2.81296i 0.144414 + 0.105942i
\(706\) 5.86792 + 53.4612i 0.220842 + 2.01204i
\(707\) −6.61363 + 10.8695i −0.248731 + 0.408790i
\(708\) 9.39871 + 60.0114i 0.353225 + 2.25536i
\(709\) 17.5608 + 22.5481i 0.659511 + 0.846811i 0.995471 0.0950656i \(-0.0303061\pi\)
−0.335960 + 0.941876i \(0.609061\pi\)
\(710\) 2.40323 7.63485i 0.0901918 0.286531i
\(711\) −9.23062 16.8731i −0.346175 0.632792i
\(712\) −0.496242 9.57426i −0.0185974 0.358810i
\(713\) 45.3545 + 29.4165i 1.69854 + 1.10165i
\(714\) 0.700304 40.5663i 0.0262082 1.51815i
\(715\) 26.3408 3.35226i 0.985091 0.125367i
\(716\) −36.9544 11.3989i −1.38105 0.425998i
\(717\) −11.0435 8.70341i −0.412427 0.325035i
\(718\) −6.04284 + 0.278353i −0.225517 + 0.0103880i
\(719\) −0.277073 + 2.28190i −0.0103331 + 0.0851005i −0.996963 0.0778756i \(-0.975186\pi\)
0.986630 + 0.162976i \(0.0521094\pi\)
\(720\) −12.9170 + 8.59062i −0.481389 + 0.320154i
\(721\) −21.6682 + 23.0849i −0.806966 + 0.859728i
\(722\) −15.6089 + 23.1795i −0.580903 + 0.862650i
\(723\) 4.98433 + 5.69180i 0.185369 + 0.211680i
\(724\) −9.14766 50.7400i −0.339970 1.88574i
\(725\) −0.145445 1.94083i −0.00540170 0.0720806i
\(726\) 9.11624 + 2.58379i 0.338335 + 0.0958935i
\(727\) 4.49515 3.14112i 0.166716 0.116498i −0.486463 0.873701i \(-0.661713\pi\)
0.653179 + 0.757203i \(0.273435\pi\)
\(728\) −0.988554 4.84226i −0.0366383 0.179466i
\(729\) 3.83896 + 16.8196i 0.142184 + 0.622947i
\(730\) 6.49507 + 30.0465i 0.240393 + 1.11207i
\(731\) 44.8055 + 12.1439i 1.65719 + 0.449157i
\(732\) 4.17679 + 21.7324i 0.154379 + 0.803254i
\(733\) −18.5062 + 28.1765i −0.683542 + 1.04072i 0.312332 + 0.949973i \(0.398890\pi\)
−0.995874 + 0.0907501i \(0.971074\pi\)
\(734\) 6.36555 4.33996i 0.234957 0.160191i
\(735\) 19.7949 1.14022i 0.730145 0.0420578i
\(736\) −55.7326 16.4913i −2.05433 0.607878i
\(737\) 0.141623 24.6135i 0.00521677 0.906649i
\(738\) 2.77932 + 43.8540i 0.102308 + 1.61429i
\(739\) −0.656397 + 2.17228i −0.0241460 + 0.0799088i −0.968492 0.249046i \(-0.919883\pi\)
0.944346 + 0.328954i \(0.106696\pi\)
\(740\) −2.97156 17.6430i −0.109237 0.648569i
\(741\) −7.43094 61.1993i −0.272982 2.24821i
\(742\) 4.03634 + 4.71769i 0.148179 + 0.173192i
\(743\) −19.2982 + 17.9061i −0.707982 + 0.656911i −0.949601 0.313460i \(-0.898512\pi\)
0.241620 + 0.970371i \(0.422321\pi\)
\(744\) 6.69332 9.69695i 0.245389 0.355507i
\(745\) 5.00493 + 15.9002i 0.183367 + 0.582538i
\(746\) 37.3741 38.9106i 1.36836 1.42462i
\(747\) 14.2341 + 22.7987i 0.520797 + 0.834161i
\(748\) 30.4177 19.7286i 1.11218 0.721350i
\(749\) −11.9243 16.4522i −0.435705 0.60