Properties

Label 128.3.l.a.3.2
Level 128
Weight 3
Character 128.3
Analytic conductor 3.488
Analytic rank 0
Dimension 496
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 128 = 2^{7} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 128.l (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.48774738381\)
Analytic rank: \(0\)
Dimension: \(496\)
Relative dimension: \(31\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 3.2
Character \(\chi\) \(=\) 128.3
Dual form 128.3.l.a.43.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.98170 - 0.269964i) q^{2} +(-2.40785 + 1.97607i) q^{3} +(3.85424 + 1.06997i) q^{4} +(4.69198 + 1.42330i) q^{5} +(5.30509 - 3.26594i) q^{6} +(-0.744763 - 3.74418i) q^{7} +(-7.34908 - 3.16086i) q^{8} +(0.137064 - 0.689066i) q^{9} +O(q^{10})\) \(q+(-1.98170 - 0.269964i) q^{2} +(-2.40785 + 1.97607i) q^{3} +(3.85424 + 1.06997i) q^{4} +(4.69198 + 1.42330i) q^{5} +(5.30509 - 3.26594i) q^{6} +(-0.744763 - 3.74418i) q^{7} +(-7.34908 - 3.16086i) q^{8} +(0.137064 - 0.689066i) q^{9} +(-8.91384 - 4.08721i) q^{10} +(-0.301062 - 3.05673i) q^{11} +(-11.3948 + 5.03991i) q^{12} +(6.89065 + 22.7154i) q^{13} +(0.465103 + 7.62088i) q^{14} +(-14.1101 + 5.84460i) q^{15} +(13.7103 + 8.24785i) q^{16} +(-8.37067 + 20.2086i) q^{17} +(-0.457641 + 1.32852i) q^{18} +(-2.02166 + 3.78226i) q^{19} +(16.5611 + 10.5060i) q^{20} +(9.19202 + 7.54369i) q^{21} +(-0.228593 + 6.13879i) q^{22} +(-22.9906 + 15.3618i) q^{23} +(23.9415 - 6.91141i) q^{24} +(-0.797819 - 0.533085i) q^{25} +(-7.52284 - 46.8753i) q^{26} +(-12.1835 - 22.7938i) q^{27} +(1.13567 - 15.2278i) q^{28} +(0.374150 - 3.79881i) q^{29} +(29.5398 - 7.77300i) q^{30} +(28.4440 + 28.4440i) q^{31} +(-24.9431 - 20.0460i) q^{32} +(6.76522 + 6.76522i) q^{33} +(22.0437 - 37.7875i) q^{34} +(1.83466 - 18.6276i) q^{35} +(1.26556 - 2.50917i) q^{36} +(0.682562 + 1.27698i) q^{37} +(5.02739 - 6.94952i) q^{38} +(-61.4789 - 41.0789i) q^{39} +(-29.9829 - 25.2906i) q^{40} +(-6.74262 + 4.50527i) q^{41} +(-16.1793 - 17.4308i) q^{42} +(49.2969 + 40.4569i) q^{43} +(2.11025 - 12.1035i) q^{44} +(1.62385 - 3.03800i) q^{45} +(49.7076 - 24.2359i) q^{46} +(-6.63363 + 16.0150i) q^{47} +(-49.3107 + 7.23297i) q^{48} +(31.8059 - 13.1744i) q^{49} +(1.43712 + 1.27180i) q^{50} +(-19.7783 - 65.2002i) q^{51} +(2.25335 + 94.9235i) q^{52} +(-6.23161 - 63.2706i) q^{53} +(17.9906 + 48.4595i) q^{54} +(2.93806 - 14.7706i) q^{55} +(-6.36150 + 29.8703i) q^{56} +(-2.60616 - 13.1020i) q^{57} +(-1.76699 + 7.42708i) q^{58} +(19.7113 + 5.97935i) q^{59} +(-60.6373 + 7.42906i) q^{60} +(83.0803 - 68.1822i) q^{61} +(-48.6885 - 64.0461i) q^{62} -2.68206 q^{63} +(44.0179 + 46.4589i) q^{64} +116.388i q^{65} +(-11.5803 - 15.2330i) q^{66} +(-0.782621 - 0.953627i) q^{67} +(-53.8852 + 68.9323i) q^{68} +(25.0018 - 82.4200i) q^{69} +(-8.66452 + 36.4190i) q^{70} +(-113.743 + 22.6249i) q^{71} +(-3.18534 + 4.63076i) q^{72} +(41.6844 + 8.29154i) q^{73} +(-1.00789 - 2.71486i) q^{74} +(2.97444 - 0.292956i) q^{75} +(-11.8389 + 12.4146i) q^{76} +(-11.2207 + 3.40377i) q^{77} +(110.743 + 98.0029i) q^{78} +(-21.4810 - 51.8598i) q^{79} +(52.5894 + 58.2126i) q^{80} +(80.2200 + 33.2282i) q^{81} +(14.5781 - 7.10782i) q^{82} +(52.8508 + 28.2493i) q^{83} +(27.3567 + 38.9104i) q^{84} +(-68.0379 + 82.9044i) q^{85} +(-86.7695 - 93.4816i) q^{86} +(6.60581 + 9.88629i) q^{87} +(-7.44939 + 23.4158i) q^{88} +(49.8479 - 74.6026i) q^{89} +(-4.03812 + 5.58202i) q^{90} +(79.9186 - 42.7174i) q^{91} +(-105.048 + 34.6089i) q^{92} +(-124.696 - 12.2815i) q^{93} +(17.4693 - 29.9460i) q^{94} +(-14.8689 + 14.8689i) q^{95} +(99.6714 - 1.02147i) q^{96} +(-108.553 + 108.553i) q^{97} +(-66.5863 + 17.5213i) q^{98} +(-2.14756 - 0.211516i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} + O(q^{10}) \) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} - 16q^{10} - 16q^{11} - 16q^{12} - 16q^{13} - 16q^{14} - 16q^{15} - 16q^{16} - 16q^{17} - 16q^{18} - 16q^{19} - 16q^{20} - 16q^{21} - 16q^{22} - 16q^{23} - 16q^{24} - 16q^{25} - 16q^{26} - 16q^{27} - 16q^{28} - 16q^{29} - 16q^{30} - 16q^{31} - 16q^{32} - 16q^{33} - 16q^{34} - 16q^{35} - 16q^{36} - 16q^{37} - 16q^{38} - 16q^{39} - 16q^{40} - 16q^{41} - 16q^{42} - 16q^{43} - 16q^{44} - 16q^{45} - 16q^{46} - 16q^{47} - 16q^{48} - 16q^{49} - 640q^{50} - 16q^{51} - 1072q^{52} - 16q^{53} - 1168q^{54} - 16q^{55} - 800q^{56} - 16q^{57} - 736q^{58} - 16q^{59} - 592q^{60} - 16q^{61} - 112q^{62} - 32q^{63} + 176q^{64} + 560q^{66} - 16q^{67} + 464q^{68} - 16q^{69} + 1328q^{70} - 16q^{71} + 1280q^{72} - 16q^{73} + 1216q^{74} - 16q^{75} + 1648q^{76} - 16q^{77} + 1424q^{78} - 16q^{79} + 800q^{80} - 16q^{81} - 16q^{82} - 16q^{83} - 16q^{84} - 16q^{85} - 16q^{86} - 16q^{87} - 16q^{88} - 16q^{89} - 16q^{90} - 16q^{91} - 16q^{92} - 16q^{93} - 16q^{94} - 16q^{95} - 16q^{96} - 16q^{97} - 16q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.98170 0.269964i −0.990848 0.134982i
\(3\) −2.40785 + 1.97607i −0.802615 + 0.658689i −0.943513 0.331335i \(-0.892501\pi\)
0.140898 + 0.990024i \(0.455001\pi\)
\(4\) 3.85424 + 1.06997i 0.963560 + 0.267493i
\(5\) 4.69198 + 1.42330i 0.938396 + 0.284659i 0.722195 0.691689i \(-0.243133\pi\)
0.216201 + 0.976349i \(0.430633\pi\)
\(6\) 5.30509 3.26594i 0.884181 0.544323i
\(7\) −0.744763 3.74418i −0.106395 0.534882i −0.996815 0.0797438i \(-0.974590\pi\)
0.890421 0.455138i \(-0.150410\pi\)
\(8\) −7.34908 3.16086i −0.918635 0.395108i
\(9\) 0.137064 0.689066i 0.0152293 0.0765629i
\(10\) −8.91384 4.08721i −0.891384 0.408721i
\(11\) −0.301062 3.05673i −0.0273693 0.277885i −0.999122 0.0418853i \(-0.986664\pi\)
0.971753 0.236000i \(-0.0758364\pi\)
\(12\) −11.3948 + 5.03991i −0.949563 + 0.419993i
\(13\) 6.89065 + 22.7154i 0.530050 + 1.74734i 0.655454 + 0.755235i \(0.272477\pi\)
−0.125404 + 0.992106i \(0.540023\pi\)
\(14\) 0.465103 + 7.62088i 0.0332216 + 0.544348i
\(15\) −14.1101 + 5.84460i −0.940673 + 0.389640i
\(16\) 13.7103 + 8.24785i 0.856895 + 0.515491i
\(17\) −8.37067 + 20.2086i −0.492392 + 1.18874i 0.461107 + 0.887345i \(0.347452\pi\)
−0.953499 + 0.301396i \(0.902548\pi\)
\(18\) −0.457641 + 1.32852i −0.0254245 + 0.0738065i
\(19\) −2.02166 + 3.78226i −0.106403 + 0.199067i −0.929488 0.368852i \(-0.879751\pi\)
0.823085 + 0.567918i \(0.192251\pi\)
\(20\) 16.5611 + 10.5060i 0.828057 + 0.525301i
\(21\) 9.19202 + 7.54369i 0.437715 + 0.359224i
\(22\) −0.228593 + 6.13879i −0.0103906 + 0.279036i
\(23\) −22.9906 + 15.3618i −0.999592 + 0.667906i −0.943793 0.330536i \(-0.892770\pi\)
−0.0557986 + 0.998442i \(0.517770\pi\)
\(24\) 23.9415 6.91141i 0.997564 0.287975i
\(25\) −0.797819 0.533085i −0.0319127 0.0213234i
\(26\) −7.52284 46.8753i −0.289340 1.80290i
\(27\) −12.1835 22.7938i −0.451242 0.844215i
\(28\) 1.13567 15.2278i 0.0405595 0.543851i
\(29\) 0.374150 3.79881i 0.0129017 0.130993i −0.986576 0.163301i \(-0.947786\pi\)
0.999478 + 0.0323079i \(0.0102857\pi\)
\(30\) 29.5398 7.77300i 0.984659 0.259100i
\(31\) 28.4440 + 28.4440i 0.917547 + 0.917547i 0.996851 0.0793034i \(-0.0252696\pi\)
−0.0793034 + 0.996851i \(0.525270\pi\)
\(32\) −24.9431 20.0460i −0.779471 0.626438i
\(33\) 6.76522 + 6.76522i 0.205007 + 0.205007i
\(34\) 22.0437 37.7875i 0.648344 1.11140i
\(35\) 1.83466 18.6276i 0.0524189 0.532218i
\(36\) 1.26556 2.50917i 0.0351544 0.0696992i
\(37\) 0.682562 + 1.27698i 0.0184476 + 0.0345131i 0.890976 0.454050i \(-0.150021\pi\)
−0.872529 + 0.488563i \(0.837521\pi\)
\(38\) 5.02739 6.94952i 0.132300 0.182882i
\(39\) −61.4789 41.0789i −1.57638 1.05330i
\(40\) −29.9829 25.2906i −0.749572 0.632266i
\(41\) −6.74262 + 4.50527i −0.164454 + 0.109885i −0.635074 0.772451i \(-0.719030\pi\)
0.470620 + 0.882336i \(0.344030\pi\)
\(42\) −16.1793 17.4308i −0.385221 0.415020i
\(43\) 49.2969 + 40.4569i 1.14644 + 0.940858i 0.998838 0.0481888i \(-0.0153449\pi\)
0.147601 + 0.989047i \(0.452845\pi\)
\(44\) 2.11025 12.1035i 0.0479603 0.275080i
\(45\) 1.62385 3.03800i 0.0360855 0.0675112i
\(46\) 49.7076 24.2359i 1.08060 0.526867i
\(47\) −6.63363 + 16.0150i −0.141141 + 0.340745i −0.978605 0.205748i \(-0.934037\pi\)
0.837464 + 0.546493i \(0.184037\pi\)
\(48\) −49.3107 + 7.23297i −1.02731 + 0.150687i
\(49\) 31.8059 13.1744i 0.649100 0.268866i
\(50\) 1.43712 + 1.27180i 0.0287424 + 0.0254359i
\(51\) −19.7783 65.2002i −0.387809 1.27843i
\(52\) 2.25335 + 94.9235i 0.0433337 + 1.82545i
\(53\) −6.23161 63.2706i −0.117578 1.19378i −0.855100 0.518462i \(-0.826505\pi\)
0.737523 0.675322i \(-0.235995\pi\)
\(54\) 17.9906 + 48.4595i 0.333159 + 0.897399i
\(55\) 2.93806 14.7706i 0.0534193 0.268557i
\(56\) −6.36150 + 29.8703i −0.113598 + 0.533399i
\(57\) −2.60616 13.1020i −0.0457221 0.229861i
\(58\) −1.76699 + 7.42708i −0.0304654 + 0.128053i
\(59\) 19.7113 + 5.97935i 0.334090 + 0.101345i 0.452873 0.891575i \(-0.350399\pi\)
−0.118783 + 0.992920i \(0.537899\pi\)
\(60\) −60.6373 + 7.42906i −1.01062 + 0.123818i
\(61\) 83.0803 68.1822i 1.36197 1.11774i 0.380788 0.924662i \(-0.375653\pi\)
0.981183 0.193079i \(-0.0618474\pi\)
\(62\) −48.6885 64.0461i −0.785298 1.03300i
\(63\) −2.68206 −0.0425724
\(64\) 44.0179 + 46.4589i 0.687780 + 0.725920i
\(65\) 116.388i 1.79058i
\(66\) −11.5803 15.2330i −0.175458 0.230803i
\(67\) −0.782621 0.953627i −0.0116809 0.0142332i 0.767137 0.641483i \(-0.221681\pi\)
−0.778818 + 0.627250i \(0.784181\pi\)
\(68\) −53.8852 + 68.9323i −0.792429 + 1.01371i
\(69\) 25.0018 82.4200i 0.362345 1.19449i
\(70\) −8.66452 + 36.4190i −0.123779 + 0.520271i
\(71\) −113.743 + 22.6249i −1.60202 + 0.318661i −0.913588 0.406642i \(-0.866700\pi\)
−0.688430 + 0.725303i \(0.741700\pi\)
\(72\) −3.18534 + 4.63076i −0.0442408 + 0.0643161i
\(73\) 41.6844 + 8.29154i 0.571019 + 0.113583i 0.472151 0.881518i \(-0.343478\pi\)
0.0988681 + 0.995101i \(0.468478\pi\)
\(74\) −1.00789 2.71486i −0.0136202 0.0366873i
\(75\) 2.97444 0.292956i 0.0396592 0.00390609i
\(76\) −11.8389 + 12.4146i −0.155775 + 0.163350i
\(77\) −11.2207 + 3.40377i −0.145724 + 0.0442048i
\(78\) 110.743 + 98.0029i 1.41978 + 1.25645i
\(79\) −21.4810 51.8598i −0.271912 0.656454i 0.727653 0.685945i \(-0.240611\pi\)
−0.999565 + 0.0294918i \(0.990611\pi\)
\(80\) 52.5894 + 58.2126i 0.657368 + 0.727658i
\(81\) 80.2200 + 33.2282i 0.990370 + 0.410225i
\(82\) 14.5781 7.10782i 0.177781 0.0866807i
\(83\) 52.8508 + 28.2493i 0.636756 + 0.340353i 0.757986 0.652271i \(-0.226184\pi\)
−0.121229 + 0.992625i \(0.538684\pi\)
\(84\) 27.3567 + 38.9104i 0.325675 + 0.463219i
\(85\) −68.0379 + 82.9044i −0.800445 + 0.975345i
\(86\) −86.7695 93.4816i −1.00895 1.08700i
\(87\) 6.60581 + 9.88629i 0.0759288 + 0.113636i
\(88\) −7.44939 + 23.4158i −0.0846521 + 0.266088i
\(89\) 49.8479 74.6026i 0.560088 0.838231i −0.438067 0.898942i \(-0.644337\pi\)
0.998155 + 0.0607109i \(0.0193368\pi\)
\(90\) −4.03812 + 5.58202i −0.0448680 + 0.0620224i
\(91\) 79.9186 42.7174i 0.878227 0.469422i
\(92\) −105.048 + 34.6089i −1.14183 + 0.376184i
\(93\) −124.696 12.2815i −1.34082 0.132059i
\(94\) 17.4693 29.9460i 0.185844 0.318575i
\(95\) −14.8689 + 14.8689i −0.156515 + 0.156515i
\(96\) 99.6714 1.02147i 1.03824 0.0106403i
\(97\) −108.553 + 108.553i −1.11910 + 1.11910i −0.127225 + 0.991874i \(0.540607\pi\)
−0.991874 + 0.127225i \(0.959393\pi\)
\(98\) −66.5863 + 17.5213i −0.679452 + 0.178789i
\(99\) −2.14756 0.211516i −0.0216925 0.00213652i
\(100\) −2.50460 2.90828i −0.0250460 0.0290828i
\(101\) 25.7361 13.7562i 0.254813 0.136200i −0.339046 0.940770i \(-0.610104\pi\)
0.593858 + 0.804570i \(0.297604\pi\)
\(102\) 21.5928 + 134.546i 0.211694 + 1.31908i
\(103\) −29.4247 + 44.0371i −0.285676 + 0.427545i −0.946357 0.323122i \(-0.895268\pi\)
0.660681 + 0.750667i \(0.270268\pi\)
\(104\) 21.1604 188.718i 0.203466 1.81459i
\(105\) 32.3919 + 48.4779i 0.308494 + 0.461694i
\(106\) −4.73160 + 127.065i −0.0446377 + 1.19873i
\(107\) 36.2561 44.1782i 0.338842 0.412881i −0.575513 0.817792i \(-0.695198\pi\)
0.914356 + 0.404912i \(0.132698\pi\)
\(108\) −22.5696 100.889i −0.208978 0.934156i
\(109\) −59.5796 31.8459i −0.546602 0.292165i 0.174890 0.984588i \(-0.444043\pi\)
−0.721491 + 0.692423i \(0.756543\pi\)
\(110\) −9.80988 + 28.4777i −0.0891807 + 0.258889i
\(111\) −4.16691 1.72599i −0.0375397 0.0155495i
\(112\) 20.6705 57.4765i 0.184558 0.513183i
\(113\) 22.1533 + 53.4827i 0.196047 + 0.473298i 0.991080 0.133267i \(-0.0425468\pi\)
−0.795034 + 0.606565i \(0.792547\pi\)
\(114\) 1.62754 + 26.6678i 0.0142767 + 0.233929i
\(115\) −129.736 + 39.3550i −1.12814 + 0.342217i
\(116\) 5.50668 14.2412i 0.0474714 0.122769i
\(117\) 16.5969 1.63465i 0.141854 0.0139714i
\(118\) −37.4476 17.1706i −0.317352 0.145513i
\(119\) 81.8986 + 16.2907i 0.688224 + 0.136896i
\(120\) 122.170 + 1.64770i 1.01808 + 0.0137309i
\(121\) 109.422 21.7654i 0.904314 0.179879i
\(122\) −183.047 + 112.688i −1.50038 + 0.923670i
\(123\) 7.33246 24.1719i 0.0596135 0.196519i
\(124\) 79.1956 + 140.064i 0.638674 + 1.12955i
\(125\) −80.7471 98.3906i −0.645977 0.787125i
\(126\) 5.31504 + 0.724060i 0.0421828 + 0.00574650i
\(127\) 206.287i 1.62431i −0.583441 0.812155i \(-0.698294\pi\)
0.583441 0.812155i \(-0.301706\pi\)
\(128\) −74.6879 103.951i −0.583499 0.812114i
\(129\) −198.645 −1.53988
\(130\) 31.4205 230.645i 0.241696 1.77419i
\(131\) 135.196 110.953i 1.03203 0.846966i 0.0436626 0.999046i \(-0.486097\pi\)
0.988368 + 0.152081i \(0.0485973\pi\)
\(132\) 18.8362 + 33.3134i 0.142698 + 0.252374i
\(133\) 15.6671 + 4.75257i 0.117798 + 0.0357336i
\(134\) 1.29347 + 2.10108i 0.00965278 + 0.0156797i
\(135\) −24.7226 124.289i −0.183130 0.920659i
\(136\) 125.393 122.056i 0.922009 0.897470i
\(137\) 37.0997 186.513i 0.270801 1.36141i −0.570703 0.821157i \(-0.693329\pi\)
0.841504 0.540252i \(-0.181671\pi\)
\(138\) −71.7964 + 156.582i −0.520264 + 1.13465i
\(139\) 24.6218 + 249.990i 0.177135 + 1.79849i 0.514895 + 0.857254i \(0.327831\pi\)
−0.337759 + 0.941233i \(0.609669\pi\)
\(140\) 27.0022 69.8323i 0.192873 0.498802i
\(141\) −15.6740 51.6701i −0.111163 0.366455i
\(142\) 231.512 14.1292i 1.63037 0.0995016i
\(143\) 67.3605 27.9016i 0.471052 0.195116i
\(144\) 7.56250 8.31684i 0.0525174 0.0577558i
\(145\) 7.16234 17.2914i 0.0493954 0.119251i
\(146\) −80.3674 27.6846i −0.550461 0.189620i
\(147\) −50.5502 + 94.5727i −0.343879 + 0.643352i
\(148\) 1.26442 + 5.65212i 0.00854339 + 0.0381900i
\(149\) 110.923 + 91.0323i 0.744451 + 0.610955i 0.928228 0.372013i \(-0.121332\pi\)
−0.183776 + 0.982968i \(0.558832\pi\)
\(150\) −5.97352 0.222439i −0.0398235 0.00148293i
\(151\) −8.47651 + 5.66382i −0.0561358 + 0.0375088i −0.583322 0.812241i \(-0.698247\pi\)
0.527186 + 0.849750i \(0.323247\pi\)
\(152\) 26.8126 21.4060i 0.176398 0.140829i
\(153\) 12.7777 + 8.53781i 0.0835146 + 0.0558027i
\(154\) 23.1550 3.71605i 0.150357 0.0241302i
\(155\) 92.9743 + 173.943i 0.599835 + 1.12221i
\(156\) −193.001 224.108i −1.23719 1.43659i
\(157\) 23.9853 243.527i 0.152773 1.55113i −0.547226 0.836985i \(-0.684316\pi\)
0.699999 0.714144i \(-0.253184\pi\)
\(158\) 28.5686 + 108.570i 0.180814 + 0.687149i
\(159\) 140.032 + 140.032i 0.880703 + 0.880703i
\(160\) −88.5010 129.557i −0.553131 0.809731i
\(161\) 74.6400 + 74.6400i 0.463602 + 0.463602i
\(162\) −150.001 87.5047i −0.925934 0.540152i
\(163\) 9.28719 94.2944i 0.0569766 0.578493i −0.923735 0.383032i \(-0.874880\pi\)
0.980712 0.195461i \(-0.0626202\pi\)
\(164\) −30.8082 + 10.1500i −0.187855 + 0.0618902i
\(165\) 22.1134 + 41.3712i 0.134021 + 0.250735i
\(166\) −97.1079 70.2494i −0.584987 0.423189i
\(167\) 99.2869 + 66.3414i 0.594533 + 0.397254i 0.816117 0.577887i \(-0.196123\pi\)
−0.221584 + 0.975141i \(0.571123\pi\)
\(168\) −43.7083 84.4939i −0.260168 0.502940i
\(169\) −327.991 + 219.157i −1.94078 + 1.29679i
\(170\) 157.212 145.924i 0.924774 0.858374i
\(171\) 2.32913 + 1.91147i 0.0136207 + 0.0111782i
\(172\) 146.714 + 208.677i 0.852990 + 1.21324i
\(173\) −105.090 + 196.610i −0.607458 + 1.13647i 0.370728 + 0.928742i \(0.379108\pi\)
−0.978186 + 0.207732i \(0.933392\pi\)
\(174\) −10.4218 21.3749i −0.0598952 0.122845i
\(175\) −1.40178 + 3.38419i −0.00801017 + 0.0193383i
\(176\) 21.0838 44.3919i 0.119794 0.252227i
\(177\) −59.2773 + 24.5535i −0.334900 + 0.138720i
\(178\) −118.923 + 134.383i −0.668108 + 0.754958i
\(179\) −12.6681 41.7613i −0.0707717 0.233303i 0.914418 0.404771i \(-0.132649\pi\)
−0.985190 + 0.171468i \(0.945149\pi\)
\(180\) 9.50927 9.97172i 0.0528293 0.0553985i
\(181\) −8.95434 90.9149i −0.0494715 0.502292i −0.987709 0.156302i \(-0.950043\pi\)
0.938238 0.345991i \(-0.112457\pi\)
\(182\) −169.907 + 63.0778i −0.933553 + 0.346581i
\(183\) −65.3118 + 328.345i −0.356895 + 1.79423i
\(184\) 217.516 40.2252i 1.18215 0.218615i
\(185\) 1.38504 + 6.96307i 0.00748671 + 0.0376382i
\(186\) 243.794 + 58.0015i 1.31072 + 0.311836i
\(187\) 64.2923 + 19.5029i 0.343809 + 0.104293i
\(188\) −42.7032 + 54.6278i −0.227145 + 0.290574i
\(189\) −76.2702 + 62.5933i −0.403546 + 0.331182i
\(190\) 33.4797 25.4516i 0.176209 0.133956i
\(191\) 126.888 0.664336 0.332168 0.943220i \(-0.392220\pi\)
0.332168 + 0.943220i \(0.392220\pi\)
\(192\) −197.794 24.8834i −1.03018 0.129601i
\(193\) 209.213i 1.08401i −0.840377 0.542003i \(-0.817666\pi\)
0.840377 0.542003i \(-0.182334\pi\)
\(194\) 244.424 185.813i 1.25992 0.957799i
\(195\) −229.990 280.244i −1.17944 1.43715i
\(196\) 136.684 16.7460i 0.697367 0.0854389i
\(197\) −75.6052 + 249.237i −0.383783 + 1.26516i 0.526144 + 0.850395i \(0.323637\pi\)
−0.909927 + 0.414768i \(0.863863\pi\)
\(198\) 4.19870 + 0.998922i 0.0212056 + 0.00504506i
\(199\) −383.142 + 76.2116i −1.92534 + 0.382973i −0.925343 + 0.379132i \(0.876223\pi\)
−0.999993 + 0.00384133i \(0.998777\pi\)
\(200\) 4.17822 + 6.43948i 0.0208911 + 0.0321974i
\(201\) 3.76886 + 0.749673i 0.0187506 + 0.00372972i
\(202\) −54.7147 + 20.3128i −0.270865 + 0.100559i
\(203\) −14.5021 + 1.42833i −0.0714387 + 0.00703610i
\(204\) −6.46781 272.459i −0.0317049 1.33558i
\(205\) −38.0486 + 11.5419i −0.185603 + 0.0563020i
\(206\) 70.1992 79.3246i 0.340773 0.385071i
\(207\) 7.43414 + 17.9476i 0.0359137 + 0.0867034i
\(208\) −92.8805 + 368.269i −0.446541 + 1.77052i
\(209\) 12.1700 + 5.04099i 0.0582297 + 0.0241196i
\(210\) −51.1036 104.813i −0.243350 0.499110i
\(211\) 295.466 + 157.930i 1.40031 + 0.748483i 0.986789 0.162010i \(-0.0517975\pi\)
0.413525 + 0.910493i \(0.364298\pi\)
\(212\) 43.6796 250.528i 0.206036 1.18173i
\(213\) 229.168 279.242i 1.07590 1.31099i
\(214\) −83.7752 + 77.7600i −0.391473 + 0.363364i
\(215\) 173.718 + 259.987i 0.807990 + 1.20924i
\(216\) 17.4897 + 206.024i 0.0809710 + 0.953815i
\(217\) 85.3152 127.683i 0.393157 0.588402i
\(218\) 109.471 + 79.1933i 0.502162 + 0.363272i
\(219\) −116.754 + 62.4064i −0.533124 + 0.284961i
\(220\) 27.1282 53.7859i 0.123310 0.244482i
\(221\) −516.726 50.8931i −2.33813 0.230285i
\(222\) 7.79160 + 4.54530i 0.0350973 + 0.0204743i
\(223\) −33.4837 + 33.4837i −0.150151 + 0.150151i −0.778186 0.628034i \(-0.783860\pi\)
0.628034 + 0.778186i \(0.283860\pi\)
\(224\) −56.4792 + 108.321i −0.252139 + 0.483575i
\(225\) −0.476683 + 0.476683i −0.00211859 + 0.00211859i
\(226\) −29.4627 111.967i −0.130366 0.495430i
\(227\) 160.336 + 15.7917i 0.706326 + 0.0695671i 0.444801 0.895629i \(-0.353274\pi\)
0.261526 + 0.965197i \(0.415774\pi\)
\(228\) 3.97406 53.2870i 0.0174301 0.233715i
\(229\) 36.8207 19.6811i 0.160789 0.0859435i −0.389040 0.921221i \(-0.627193\pi\)
0.549829 + 0.835278i \(0.314693\pi\)
\(230\) 267.722 42.9656i 1.16401 0.186807i
\(231\) 20.2917 30.3687i 0.0878428 0.131466i
\(232\) −14.7572 + 26.7351i −0.0636085 + 0.115237i
\(233\) −27.2254 40.7457i −0.116847 0.174874i 0.768436 0.639927i \(-0.221035\pi\)
−0.885283 + 0.465053i \(0.846035\pi\)
\(234\) −33.3313 1.24117i −0.142441 0.00530416i
\(235\) −53.9190 + 65.7004i −0.229442 + 0.279576i
\(236\) 69.5743 + 44.1364i 0.294806 + 0.187019i
\(237\) 154.202 + 82.4225i 0.650640 + 0.347774i
\(238\) −157.900 54.3928i −0.663447 0.228541i
\(239\) 103.424 + 42.8398i 0.432738 + 0.179246i 0.588410 0.808563i \(-0.299754\pi\)
−0.155672 + 0.987809i \(0.549754\pi\)
\(240\) −241.659 36.2467i −1.00691 0.151028i
\(241\) −40.1610 96.9572i −0.166643 0.402312i 0.818393 0.574658i \(-0.194865\pi\)
−0.985036 + 0.172347i \(0.944865\pi\)
\(242\) −222.717 + 13.5924i −0.920319 + 0.0561671i
\(243\) −36.2240 + 10.9884i −0.149070 + 0.0452199i
\(244\) 393.164 173.897i 1.61133 0.712693i
\(245\) 167.984 16.5450i 0.685649 0.0675305i
\(246\) −21.0562 + 45.9218i −0.0855944 + 0.186674i
\(247\) −99.8463 19.8607i −0.404236 0.0804076i
\(248\) −119.129 298.944i −0.480361 1.20542i
\(249\) −183.079 + 36.4167i −0.735258 + 0.146252i
\(250\) 133.454 + 216.779i 0.533817 + 0.867116i
\(251\) 60.6890 200.065i 0.241789 0.797071i −0.749108 0.662448i \(-0.769518\pi\)
0.990897 0.134623i \(-0.0429823\pi\)
\(252\) −10.3373 2.86973i −0.0410211 0.0113878i
\(253\) 53.8786 + 65.6513i 0.212959 + 0.259491i
\(254\) −55.6901 + 408.799i −0.219252 + 1.60945i
\(255\) 334.068i 1.31007i
\(256\) 119.946 + 226.161i 0.468539 + 0.883443i
\(257\) −170.062 −0.661720 −0.330860 0.943680i \(-0.607339\pi\)
−0.330860 + 0.943680i \(0.607339\pi\)
\(258\) 393.654 + 53.6269i 1.52579 + 0.207856i
\(259\) 4.27290 3.50668i 0.0164977 0.0135393i
\(260\) −124.532 + 448.587i −0.478968 + 1.72533i
\(261\) −2.56635 0.778493i −0.00983275 0.00298273i
\(262\) −297.871 + 183.376i −1.13691 + 0.699909i
\(263\) −20.5225 103.174i −0.0780323 0.392295i −0.999988 0.00499844i \(-0.998409\pi\)
0.921955 0.387297i \(-0.126591\pi\)
\(264\) −28.3342 71.1021i −0.107327 0.269326i
\(265\) 60.8143 305.734i 0.229488 1.15371i
\(266\) −29.7644 13.6477i −0.111896 0.0513071i
\(267\) 27.3938 + 278.134i 0.102599 + 1.04170i
\(268\) −1.99606 4.51289i −0.00744797 0.0168391i
\(269\) 77.5223 + 255.557i 0.288187 + 0.950025i 0.974815 + 0.223016i \(0.0715902\pi\)
−0.686628 + 0.727009i \(0.740910\pi\)
\(270\) 15.4392 + 252.977i 0.0571823 + 0.936952i
\(271\) 3.80413 1.57572i 0.0140374 0.00581447i −0.375654 0.926760i \(-0.622582\pi\)
0.389691 + 0.920946i \(0.372582\pi\)
\(272\) −281.442 + 208.026i −1.03471 + 0.764802i
\(273\) −108.019 + 260.782i −0.395675 + 0.955244i
\(274\) −123.872 + 359.596i −0.452088 + 1.31240i
\(275\) −1.38931 + 2.59921i −0.00505202 + 0.00945167i
\(276\) 184.550 290.915i 0.668659 1.05404i
\(277\) 330.911 + 271.572i 1.19463 + 0.980404i 1.00000 0.000473910i \(-0.000150850\pi\)
0.194625 + 0.980878i \(0.437651\pi\)
\(278\) 18.6951 502.050i 0.0672486 1.80594i
\(279\) 23.4984 15.7011i 0.0842237 0.0562765i
\(280\) −72.3624 + 131.097i −0.258437 + 0.468203i
\(281\) 171.080 + 114.312i 0.608825 + 0.406804i 0.821410 0.570339i \(-0.193188\pi\)
−0.212584 + 0.977143i \(0.568188\pi\)
\(282\) 17.1120 + 106.626i 0.0606808 + 0.378106i
\(283\) 90.0080 + 168.393i 0.318050 + 0.595029i 0.989248 0.146249i \(-0.0467201\pi\)
−0.671198 + 0.741278i \(0.734220\pi\)
\(284\) −462.602 34.5001i −1.62888 0.121479i
\(285\) 6.42006 65.1839i 0.0225265 0.228716i
\(286\) −141.020 + 37.1077i −0.493079 + 0.129747i
\(287\) 21.8902 + 21.8902i 0.0762724 + 0.0762724i
\(288\) −17.2318 + 14.4398i −0.0598327 + 0.0501383i
\(289\) −133.965 133.965i −0.463546 0.463546i
\(290\) −18.8616 + 32.3328i −0.0650401 + 0.111492i
\(291\) 46.8706 475.885i 0.161067 1.63534i
\(292\) 151.790 + 76.5587i 0.519828 + 0.262187i
\(293\) 238.546 + 446.289i 0.814152 + 1.52317i 0.851793 + 0.523879i \(0.175516\pi\)
−0.0376409 + 0.999291i \(0.511984\pi\)
\(294\) 125.706 173.768i 0.427572 0.591046i
\(295\) 83.9746 + 56.1100i 0.284660 + 0.190204i
\(296\) −0.979832 11.5421i −0.00331024 0.0389937i
\(297\) −66.0066 + 44.1042i −0.222244 + 0.148499i
\(298\) −195.241 210.344i −0.655170 0.705851i
\(299\) −507.371 416.389i −1.69689 1.39260i
\(300\) 11.7776 + 2.05344i 0.0392588 + 0.00684479i
\(301\) 114.763 214.707i 0.381273 0.713312i
\(302\) 18.3269 8.93563i 0.0606851 0.0295882i
\(303\) −34.7853 + 83.9790i −0.114803 + 0.277159i
\(304\) −58.9132 + 35.1817i −0.193793 + 0.115729i
\(305\) 486.855 201.662i 1.59624 0.661186i
\(306\) −23.0167 20.3689i −0.0752179 0.0665649i
\(307\) −74.0491 244.107i −0.241202 0.795137i −0.991046 0.133522i \(-0.957371\pi\)
0.749844 0.661615i \(-0.230129\pi\)
\(308\) −46.8893 + 1.11309i −0.152238 + 0.00361392i
\(309\) −16.1703 164.180i −0.0523311 0.531326i
\(310\) −137.289 369.801i −0.442867 1.19291i
\(311\) 119.416 600.344i 0.383974 1.93037i 0.0177453 0.999843i \(-0.494351\pi\)
0.366229 0.930525i \(-0.380649\pi\)
\(312\) 321.968 + 496.218i 1.03195 + 1.59044i
\(313\) −104.925 527.492i −0.335222 1.68528i −0.669508 0.742805i \(-0.733495\pi\)
0.334286 0.942472i \(-0.391505\pi\)
\(314\) −113.275 + 476.122i −0.360749 + 1.51631i
\(315\) −12.5842 3.81737i −0.0399498 0.0121186i
\(316\) −27.3045 222.864i −0.0864068 0.705267i
\(317\) −47.6050 + 39.0684i −0.150174 + 0.123244i −0.706480 0.707733i \(-0.749718\pi\)
0.556307 + 0.830977i \(0.312218\pi\)
\(318\) −239.697 315.304i −0.753764 0.991521i
\(319\) −11.7246 −0.0367542
\(320\) 140.406 + 280.635i 0.438770 + 0.876983i
\(321\) 178.019i 0.554576i
\(322\) −127.764 168.064i −0.396782 0.521937i
\(323\) −59.5115 72.5150i −0.184246 0.224505i
\(324\) 273.634 + 213.903i 0.844549 + 0.660193i
\(325\) 6.61177 21.7961i 0.0203439 0.0670649i
\(326\) −43.8604 + 184.356i −0.134541 + 0.565508i
\(327\) 206.388 41.0532i 0.631157 0.125545i
\(328\) 63.7926 11.7971i 0.194490 0.0359668i
\(329\) 64.9034 + 12.9101i 0.197275 + 0.0392404i
\(330\) −32.6533 87.9550i −0.0989493 0.266530i
\(331\) −586.556 + 57.7708i −1.77207 + 0.174534i −0.930667 0.365868i \(-0.880772\pi\)
−0.841407 + 0.540402i \(0.818272\pi\)
\(332\) 173.474 + 165.429i 0.522511 + 0.498279i
\(333\) 0.973481 0.295302i 0.00292337 0.000886793i
\(334\) −178.847 158.272i −0.535469 0.473869i
\(335\) −2.31475 5.58830i −0.00690970 0.0166815i
\(336\) 63.8063 + 179.241i 0.189900 + 0.533455i
\(337\) 254.090 + 105.248i 0.753977 + 0.312307i 0.726363 0.687311i \(-0.241209\pi\)
0.0276138 + 0.999619i \(0.491209\pi\)
\(338\) 709.143 345.756i 2.09806 1.02295i
\(339\) −159.027 85.0018i −0.469107 0.250743i
\(340\) −350.939 + 246.735i −1.03217 + 0.725690i
\(341\) 78.3822 95.5090i 0.229860 0.280085i
\(342\) −4.09961 4.41673i −0.0119872 0.0129144i
\(343\) −176.940 264.809i −0.515859 0.772037i
\(344\) −234.408 453.142i −0.681418 1.31727i
\(345\) 234.616 351.128i 0.680047 1.01776i
\(346\) 261.334 361.251i 0.755302 1.04408i
\(347\) 398.228 212.857i 1.14763 0.613422i 0.215844 0.976428i \(-0.430750\pi\)
0.931787 + 0.363006i \(0.118250\pi\)
\(348\) 14.8823 + 45.1721i 0.0427653 + 0.129805i
\(349\) −36.3105 3.57627i −0.104042 0.0102472i 0.0458624 0.998948i \(-0.485396\pi\)
−0.149904 + 0.988701i \(0.547896\pi\)
\(350\) 3.69151 6.32802i 0.0105472 0.0180800i
\(351\) 433.819 433.819i 1.23595 1.23595i
\(352\) −53.7659 + 82.2794i −0.152744 + 0.233748i
\(353\) 404.408 404.408i 1.14563 1.14563i 0.158230 0.987402i \(-0.449421\pi\)
0.987402 0.158230i \(-0.0505786\pi\)
\(354\) 124.098 32.6548i 0.350560 0.0922452i
\(355\) −565.883 55.7346i −1.59404 0.156999i
\(356\) 271.948 234.200i 0.763900 0.657867i
\(357\) −229.391 + 122.612i −0.642551 + 0.343451i
\(358\) 13.8304 + 86.1781i 0.0386324 + 0.240721i
\(359\) −275.112 + 411.735i −0.766330 + 1.14689i 0.218915 + 0.975744i \(0.429748\pi\)
−0.985245 + 0.171150i \(0.945252\pi\)
\(360\) −21.5365 + 17.1938i −0.0598236 + 0.0477605i
\(361\) 190.342 + 284.868i 0.527264 + 0.789107i
\(362\) −6.79894 + 182.583i −0.0187816 + 0.504373i
\(363\) −220.461 + 268.633i −0.607332 + 0.740036i
\(364\) 353.732 79.1324i 0.971791 0.217397i
\(365\) 183.781 + 98.2330i 0.503510 + 0.269132i
\(366\) 218.069 633.047i 0.595817 1.72964i
\(367\) 54.7544 + 22.6800i 0.149195 + 0.0617984i 0.456031 0.889964i \(-0.349271\pi\)
−0.306837 + 0.951762i \(0.599271\pi\)
\(368\) −441.911 + 20.9925i −1.20084 + 0.0570450i
\(369\) 2.18026 + 5.26362i 0.00590857 + 0.0142645i
\(370\) −0.864955 14.1726i −0.00233772 0.0383043i
\(371\) −232.255 + 70.4538i −0.626024 + 0.189902i
\(372\) −467.467 180.757i −1.25663 0.485905i
\(373\) −146.851 + 14.4636i −0.393703 + 0.0387764i −0.292932 0.956133i \(-0.594631\pi\)
−0.100771 + 0.994910i \(0.532131\pi\)
\(374\) −122.143 56.0053i −0.326585 0.149747i
\(375\) 388.853 + 77.3477i 1.03694 + 0.206260i
\(376\) 99.3723 96.7275i 0.264288 0.257254i
\(377\) 88.8697 17.6773i 0.235729 0.0468893i
\(378\) 168.042 103.451i 0.444556 0.273679i
\(379\) −127.436 + 420.099i −0.336241 + 1.10844i 0.611992 + 0.790864i \(0.290369\pi\)
−0.948233 + 0.317575i \(0.897131\pi\)
\(380\) −73.2175 + 41.3990i −0.192678 + 0.108945i
\(381\) 407.638 + 496.708i 1.06992 + 1.30370i
\(382\) −251.454 34.2552i −0.658256 0.0896732i
\(383\) 181.284i 0.473327i −0.971592 0.236663i \(-0.923946\pi\)
0.971592 0.236663i \(-0.0760539\pi\)
\(384\) 385.250 + 102.709i 1.00326 + 0.267470i
\(385\) −57.4920 −0.149330
\(386\) −56.4799 + 414.597i −0.146321 + 1.07409i
\(387\) 34.6343 28.4236i 0.0894943 0.0734461i
\(388\) −534.536 + 302.240i −1.37767 + 0.778968i
\(389\) −704.604 213.739i −1.81132 0.549458i −0.811911 0.583782i \(-0.801572\pi\)
−0.999411 + 0.0343232i \(0.989072\pi\)
\(390\) 380.115 + 617.447i 0.974654 + 1.58320i
\(391\) −117.994 593.197i −0.301775 1.51713i
\(392\) −275.387 3.71413i −0.702517 0.00947481i
\(393\) −106.281 + 534.313i −0.270436 + 1.35958i
\(394\) 217.112 473.501i 0.551044 1.20178i
\(395\) −26.9767 273.899i −0.0682955 0.693416i
\(396\) −8.05088 3.11306i −0.0203305 0.00786125i
\(397\) 75.8497 + 250.043i 0.191057 + 0.629831i 0.999167 + 0.0407999i \(0.0129906\pi\)
−0.808110 + 0.589032i \(0.799509\pi\)
\(398\) 779.845 47.5940i 1.95941 0.119583i
\(399\) −47.1154 + 19.5158i −0.118084 + 0.0489119i
\(400\) −6.54154 13.8891i −0.0163539 0.0347227i
\(401\) −279.308 + 674.310i −0.696529 + 1.68157i 0.0346637 + 0.999399i \(0.488964\pi\)
−0.731193 + 0.682171i \(0.761036\pi\)
\(402\) −7.26635 2.50308i −0.0180755 0.00622657i
\(403\) −450.119 + 842.114i −1.11692 + 2.08961i
\(404\) 113.912 25.4829i 0.281960 0.0630764i
\(405\) 329.097 + 270.083i 0.812586 + 0.666872i
\(406\) 29.1243 + 1.08451i 0.0717346 + 0.00267122i
\(407\) 3.69791 2.47086i 0.00908576 0.00607091i
\(408\) −60.7368 + 541.677i −0.148865 + 1.32764i
\(409\) −477.590 319.116i −1.16770 0.780234i −0.188292 0.982113i \(-0.560295\pi\)
−0.979410 + 0.201879i \(0.935295\pi\)
\(410\) 78.5166 12.6008i 0.191504 0.0307337i
\(411\) 279.232 + 522.406i 0.679396 + 1.27106i
\(412\) −160.528 + 138.246i −0.389632 + 0.335549i
\(413\) 7.70751 78.2557i 0.0186623 0.189481i
\(414\) −9.88701 37.5736i −0.0238817 0.0907576i
\(415\) 207.768 + 207.768i 0.500645 + 0.500645i
\(416\) 283.480 704.723i 0.681442 1.69405i
\(417\) −553.282 553.282i −1.32682 1.32682i
\(418\) −22.7564 13.2752i −0.0544411 0.0317588i
\(419\) −59.7730 + 606.886i −0.142656 + 1.44842i 0.611252 + 0.791436i \(0.290666\pi\)
−0.753909 + 0.656979i \(0.771834\pi\)
\(420\) 72.9761 + 221.504i 0.173753 + 0.527390i
\(421\) −12.5385 23.4579i −0.0297827 0.0557196i 0.866590 0.499021i \(-0.166307\pi\)
−0.896372 + 0.443302i \(0.853807\pi\)
\(422\) −542.889 392.734i −1.28647 0.930650i
\(423\) 10.1262 + 6.76608i 0.0239389 + 0.0159955i
\(424\) −154.193 + 484.678i −0.363663 + 1.14311i
\(425\) 17.4512 11.6605i 0.0410616 0.0274365i
\(426\) −529.526 + 491.505i −1.24302 + 1.15377i
\(427\) −317.161 260.287i −0.742766 0.609573i
\(428\) 187.009 131.480i 0.436938 0.307197i
\(429\) −107.058 + 200.292i −0.249553 + 0.466881i
\(430\) −274.069 562.113i −0.637370 1.30724i
\(431\) −164.900 + 398.103i −0.382598 + 0.923674i 0.608863 + 0.793275i \(0.291626\pi\)
−0.991462 + 0.130399i \(0.958374\pi\)
\(432\) 20.9596 412.999i 0.0485177 0.956015i
\(433\) 535.918 221.985i 1.23769 0.512666i 0.334696 0.942326i \(-0.391367\pi\)
0.902991 + 0.429660i \(0.141367\pi\)
\(434\) −203.539 + 229.997i −0.468983 + 0.529948i
\(435\) 16.9232 + 55.7883i 0.0389039 + 0.128249i
\(436\) −195.560 186.490i −0.448531 0.427730i
\(437\) −11.6233 118.013i −0.0265979 0.270053i
\(438\) 248.219 92.1512i 0.566710 0.210391i
\(439\) −95.7489 + 481.362i −0.218107 + 1.09650i 0.704189 + 0.710013i \(0.251311\pi\)
−0.922296 + 0.386485i \(0.873689\pi\)
\(440\) −68.2800 + 99.2638i −0.155182 + 0.225599i
\(441\) −4.71862 23.7221i −0.0106998 0.0537917i
\(442\) 1010.25 + 240.352i 2.28564 + 0.543782i
\(443\) 60.6215 + 18.3893i 0.136843 + 0.0415109i 0.357963 0.933736i \(-0.383471\pi\)
−0.221120 + 0.975247i \(0.570971\pi\)
\(444\) −14.2135 11.1109i −0.0320124 0.0250245i
\(445\) 340.067 279.086i 0.764195 0.627159i
\(446\) 75.3939 57.3152i 0.169045 0.128509i
\(447\) −446.972 −0.999937
\(448\) 141.167 199.412i 0.315105 0.445115i
\(449\) 468.646i 1.04375i 0.853021 + 0.521877i \(0.174768\pi\)
−0.853021 + 0.521877i \(0.825232\pi\)
\(450\) 1.07333 0.815954i 0.00238517 0.00181323i
\(451\) 15.8014 + 19.2540i 0.0350363 + 0.0426918i
\(452\) 28.1590 + 229.839i 0.0622987 + 0.508492i
\(453\) 9.21803 30.3878i 0.0203489 0.0670812i
\(454\) −313.474 74.5793i −0.690472 0.164272i
\(455\) 435.776 86.6813i 0.957750 0.190508i
\(456\) −22.2609 + 104.526i −0.0488178 + 0.229223i
\(457\) 319.892 + 63.6305i 0.699983 + 0.139235i 0.532237 0.846595i \(-0.321351\pi\)
0.167745 + 0.985830i \(0.446351\pi\)
\(458\) −78.2806 + 29.0617i −0.170918 + 0.0634534i
\(459\) 562.615 55.4127i 1.22574 0.120725i
\(460\) −542.142 + 12.8697i −1.17857 + 0.0279776i
\(461\) −68.4885 + 20.7758i −0.148565 + 0.0450667i −0.363691 0.931520i \(-0.618484\pi\)
0.215126 + 0.976586i \(0.430984\pi\)
\(462\) −48.4104 + 54.7035i −0.104784 + 0.118406i
\(463\) 125.272 + 302.434i 0.270567 + 0.653206i 0.999508 0.0313707i \(-0.00998725\pi\)
−0.728941 + 0.684576i \(0.759987\pi\)
\(464\) 36.4617 48.9969i 0.0785813 0.105597i
\(465\) −567.591 235.104i −1.22063 0.505599i
\(466\) 42.9526 + 88.0955i 0.0921730 + 0.189046i
\(467\) 509.111 + 272.126i 1.09017 + 0.582710i 0.915664 0.401946i \(-0.131666\pi\)
0.174510 + 0.984655i \(0.444166\pi\)
\(468\) 65.7174 + 11.4579i 0.140422 + 0.0244826i
\(469\) −2.98768 + 3.64050i −0.00637031 + 0.00776225i
\(470\) 124.588 115.642i 0.265080 0.246047i
\(471\) 423.473 + 633.772i 0.899094 + 1.34559i
\(472\) −125.960 106.247i −0.266864 0.225100i
\(473\) 108.825 162.867i 0.230073 0.344329i
\(474\) −283.330 204.965i −0.597742 0.432416i
\(475\) 3.62919 1.93984i 0.00764040 0.00408388i
\(476\) 298.226 + 150.417i 0.626526 + 0.316003i
\(477\) −44.4517 4.37811i −0.0931902 0.00917844i
\(478\) −193.391 112.816i −0.404583 0.236017i
\(479\) 405.669 405.669i 0.846908 0.846908i −0.142838 0.989746i \(-0.545623\pi\)
0.989746 + 0.142838i \(0.0456228\pi\)
\(480\) 469.110 + 137.069i 0.977313 + 0.285561i
\(481\) −24.3039 + 24.3039i −0.0505279 + 0.0505279i
\(482\) 53.4119 + 202.982i 0.110813 + 0.421124i
\(483\) −327.215 32.2279i −0.677464 0.0667244i
\(484\) 445.027 + 33.1894i 0.919477 + 0.0685732i
\(485\) −663.830 + 354.824i −1.36872 + 0.731597i
\(486\) 74.7515 11.9966i 0.153810 0.0246843i
\(487\) 58.6397 87.7605i 0.120410 0.180206i −0.766368 0.642402i \(-0.777938\pi\)
0.886778 + 0.462195i \(0.152938\pi\)
\(488\) −826.078 + 238.471i −1.69278 + 0.488670i
\(489\) 163.970 + 245.398i 0.335317 + 0.501837i
\(490\) −337.360 12.5624i −0.688489 0.0256376i
\(491\) −26.0895 + 31.7902i −0.0531355 + 0.0647458i −0.798900 0.601464i \(-0.794584\pi\)
0.745765 + 0.666210i \(0.232084\pi\)
\(492\) 54.1243 85.3187i 0.110009 0.173412i
\(493\) 73.6366 + 39.3596i 0.149364 + 0.0798369i
\(494\) 192.503 + 66.3127i 0.389683 + 0.134236i
\(495\) −9.77524 4.04904i −0.0197480 0.00817988i
\(496\) 155.374 + 624.577i 0.313255 + 1.25923i
\(497\) 169.423 + 409.024i 0.340892 + 0.822987i
\(498\) 372.638 22.7421i 0.748270 0.0456670i
\(499\) 649.453 197.009i 1.30151 0.394809i 0.437924 0.899012i \(-0.355714\pi\)
0.863585 + 0.504203i \(0.168214\pi\)
\(500\) −205.943 465.618i −0.411887 0.931236i
\(501\) −370.163 + 36.4579i −0.738848 + 0.0727702i
\(502\) −174.277 + 380.084i −0.347166 + 0.757139i
\(503\) −650.766 129.445i −1.29377 0.257347i −0.500245 0.865884i \(-0.666757\pi\)
−0.793525 + 0.608537i \(0.791757\pi\)
\(504\) 19.7107 + 8.47764i 0.0391085 + 0.0168207i
\(505\) 140.332 27.9138i 0.277886 0.0552749i
\(506\) −89.0476 144.646i −0.175983 0.285862i
\(507\) 356.684 1175.83i 0.703518 2.31919i
\(508\) 220.722 795.081i 0.434492 1.56512i
\(509\) −262.878 320.318i −0.516460 0.629309i 0.447842 0.894113i \(-0.352193\pi\)
−0.964302 + 0.264804i \(0.914693\pi\)
\(510\) −90.1863 + 662.022i −0.176836 + 1.29808i
\(511\) 162.249i 0.317512i
\(512\) −176.641 480.564i −0.345002 0.938602i
\(513\) 110.843 0.216069
\(514\) 337.011 + 45.9106i 0.655664 + 0.0893201i
\(515\) −200.738 + 164.741i −0.389783 + 0.319886i
\(516\) −765.625 212.544i −1.48377 0.411908i
\(517\) 50.9507 + 15.4557i 0.0985507 + 0.0298950i
\(518\) −9.41427 + 5.79565i −0.0181743 + 0.0111885i
\(519\) −135.474 681.072i −0.261028 1.31228i
\(520\) 367.886 855.343i 0.707473 1.64489i
\(521\) −18.1685 + 91.3391i −0.0348723 + 0.175315i −0.994296 0.106652i \(-0.965987\pi\)
0.959424 + 0.281967i \(0.0909869\pi\)
\(522\) 4.87556 + 2.23556i 0.00934015 + 0.00428268i
\(523\) −56.5618 574.281i −0.108149 1.09805i −0.884112 0.467275i \(-0.845236\pi\)
0.775964 0.630778i \(-0.217264\pi\)
\(524\) 639.794 282.982i 1.22098 0.540041i
\(525\) −3.31213 10.9186i −0.00630882 0.0207974i
\(526\) 12.8163 + 209.999i 0.0243655 + 0.399238i
\(527\) −812.907 + 336.717i −1.54252 + 0.638932i
\(528\) 36.9548 + 148.552i 0.0699902 + 0.281348i
\(529\) 90.1428 217.624i 0.170402 0.411387i
\(530\) −203.052 + 589.454i −0.383118 + 1.11218i
\(531\) 6.82187 12.7628i 0.0128472 0.0240355i
\(532\) 55.2997 + 35.0809i 0.103947 + 0.0659415i
\(533\) −148.800 122.117i −0.279175 0.229113i
\(534\) 20.7999 558.573i 0.0389511 1.04602i
\(535\) 232.992 155.680i 0.435499 0.290991i
\(536\) 2.73726 + 9.48203i 0.00510683 + 0.0176904i
\(537\) 113.026 + 75.5216i 0.210477 + 0.140636i
\(538\) −84.6346 527.364i −0.157313 0.980231i
\(539\) −49.8463 93.2559i −0.0924793 0.173017i
\(540\) 37.6988 505.492i 0.0698126 0.936096i
\(541\) 61.3352 622.747i 0.113374 1.15110i −0.755183 0.655514i \(-0.772452\pi\)
0.868557 0.495589i \(-0.165048\pi\)
\(542\) −7.96401 + 2.09562i −0.0146937 + 0.00386647i
\(543\) 201.215 + 201.215i 0.370561 + 0.370561i
\(544\) 613.892 336.266i 1.12848 0.618135i
\(545\) −234.220 234.220i −0.429762 0.429762i
\(546\) 284.463 487.629i 0.520994 0.893093i
\(547\) −28.7699 + 292.105i −0.0525957 + 0.534013i 0.932399 + 0.361430i \(0.117711\pi\)
−0.984995 + 0.172583i \(0.944789\pi\)
\(548\) 342.555 679.170i 0.625100 1.23936i
\(549\) −35.5948 66.5931i −0.0648356 0.121299i
\(550\) 3.45488 4.77578i 0.00628159 0.00868324i
\(551\) 13.6117 + 9.09504i 0.0247036 + 0.0165064i
\(552\) −444.258 + 526.683i −0.804816 + 0.954137i
\(553\) −178.174 + 119.052i −0.322195 + 0.215284i
\(554\) −582.451 627.507i −1.05136 1.13268i
\(555\) −17.0945 14.0291i −0.0308008 0.0252776i
\(556\) −172.583 + 989.864i −0.310402 + 1.78033i
\(557\) 221.851 415.054i 0.398296 0.745160i −0.600207 0.799844i \(-0.704915\pi\)
0.998504 + 0.0546846i \(0.0174153\pi\)
\(558\) −50.8054 + 24.7712i −0.0910492 + 0.0443928i
\(559\) −579.308 + 1398.57i −1.03633 + 2.50192i
\(560\) 178.792 240.259i 0.319271 0.429033i
\(561\) −193.345 + 80.0861i −0.344644 + 0.142756i
\(562\) −308.168 272.717i −0.548342 0.485261i
\(563\) −70.2389 231.547i −0.124758 0.411273i 0.872205 0.489140i \(-0.162689\pi\)
−0.996964 + 0.0778666i \(0.975189\pi\)
\(564\) −5.12564 215.920i −0.00908801 0.382836i
\(565\) 27.8209 + 282.471i 0.0492406 + 0.499948i
\(566\) −132.909 358.003i −0.234821 0.632514i
\(567\) 64.6674 325.105i 0.114052 0.573377i
\(568\) 907.422 + 193.254i 1.59757 + 0.340236i
\(569\) −30.1685 151.667i −0.0530202 0.266550i 0.945178 0.326556i \(-0.105888\pi\)
−0.998198 + 0.0600056i \(0.980888\pi\)
\(570\) −30.3199 + 127.442i −0.0531928 + 0.223582i
\(571\) −115.382 35.0006i −0.202069 0.0612970i 0.187628 0.982240i \(-0.439920\pi\)
−0.389697 + 0.920943i \(0.627420\pi\)
\(572\) 289.477 35.4658i 0.506079 0.0620031i
\(573\) −305.527 + 250.740i −0.533206 + 0.437591i
\(574\) −37.4701 49.2892i −0.0652790 0.0858698i
\(575\) 26.5315 0.0461418
\(576\) 38.0465 23.9634i 0.0660529 0.0416032i
\(577\) 143.295i 0.248345i 0.992261 + 0.124172i \(0.0396275\pi\)
−0.992261 + 0.124172i \(0.960372\pi\)
\(578\) 229.312 + 301.643i 0.396734 + 0.521874i
\(579\) 413.419 + 503.753i 0.714023 + 0.870040i
\(580\) 46.1067 58.9817i 0.0794943 0.101693i
\(581\) 66.4091 218.922i 0.114301 0.376801i
\(582\) −221.355 + 930.407i −0.380335 + 1.59864i
\(583\) −191.525 + 38.0967i −0.328517 + 0.0653460i
\(584\) −280.133 192.694i −0.479680 0.329955i
\(585\) 80.1989 + 15.9526i 0.137092 + 0.0272693i
\(586\) −352.245 948.808i −0.601100 1.61913i
\(587\) 926.580 91.2601i 1.57850 0.155469i 0.729545 0.683933i \(-0.239732\pi\)
0.848956 + 0.528464i \(0.177232\pi\)
\(588\) −296.022 + 310.419i −0.503440 + 0.527923i
\(589\) −165.087 + 50.0785i −0.280283 + 0.0850229i
\(590\) −151.264 133.863i −0.256380 0.226887i
\(591\) −310.464 749.525i −0.525319 1.26823i
\(592\) −1.17423 + 23.1375i −0.00198349 + 0.0390837i
\(593\) −150.533 62.3529i −0.253850 0.105148i 0.252130 0.967693i \(-0.418869\pi\)
−0.505980 + 0.862545i \(0.668869\pi\)
\(594\) 142.712 69.5817i 0.240255 0.117141i
\(595\) 361.081 + 193.002i 0.606858 + 0.324372i
\(596\) 330.123 + 469.545i 0.553897 + 0.787827i
\(597\) 771.947 940.620i 1.29304 1.57558i
\(598\) 893.045 + 962.127i 1.49339 + 1.60891i
\(599\) 407.803 + 610.321i 0.680807 + 1.01890i 0.997520 + 0.0703779i \(0.0224205\pi\)
−0.316714 + 0.948521i \(0.602579\pi\)
\(600\) −22.7854 7.24883i −0.0379756 0.0120814i
\(601\) −358.242 + 536.147i −0.596076 + 0.892091i −0.999740 0.0228166i \(-0.992737\pi\)
0.403664 + 0.914908i \(0.367737\pi\)
\(602\) −285.389 + 394.502i −0.474068 + 0.655319i
\(603\) −0.764381 + 0.408570i −0.00126763 + 0.000677562i
\(604\) −38.7306 + 12.7601i −0.0641236 + 0.0211260i
\(605\) 544.385 + 53.6172i 0.899810 + 0.0886235i
\(606\) 91.6051 157.030i 0.151164 0.259126i
\(607\) −238.971 + 238.971i −0.393692 + 0.393692i −0.876001 0.482309i \(-0.839798\pi\)
0.482309 + 0.876001i \(0.339798\pi\)
\(608\) 126.246 53.8150i 0.207641 0.0885115i
\(609\) 32.0962 32.0962i 0.0527032 0.0527032i
\(610\) −1019.24 + 268.199i −1.67088 + 0.439671i
\(611\) −409.497 40.3320i −0.670209 0.0660098i
\(612\) 40.1132 + 46.5786i 0.0655445 + 0.0761088i
\(613\) −205.831 + 110.019i −0.335776 + 0.179476i −0.630665 0.776056i \(-0.717218\pi\)
0.294888 + 0.955532i \(0.404718\pi\)
\(614\) 80.8428 + 503.737i 0.131666 + 0.820418i
\(615\) 68.8075 102.978i 0.111882 0.167443i
\(616\) 93.2208 + 10.4526i 0.151333 + 0.0169685i
\(617\) 155.652 + 232.950i 0.252273 + 0.377553i 0.935893 0.352285i \(-0.114595\pi\)
−0.683620 + 0.729838i \(0.739595\pi\)
\(618\) −12.2779 + 329.720i −0.0198672 + 0.533527i
\(619\) −253.750 + 309.195i −0.409936 + 0.499508i −0.936520 0.350615i \(-0.885973\pi\)
0.526584 + 0.850123i \(0.323473\pi\)
\(620\) 172.232 + 769.897i 0.277793 + 1.24177i
\(621\) 630.262 + 336.882i 1.01491 + 0.542483i
\(622\) −398.717 + 1157.46i −0.641024 + 1.86087i
\(623\) −316.450 131.078i −0.507945 0.210398i
\(624\) −504.083 1070.27i −0.807825 1.71518i
\(625\) −229.645 554.412i −0.367432 0.887059i
\(626\) 65.5252 + 1073.65i 0.104673 + 1.71510i
\(627\) −39.2649 + 11.9109i −0.0626234 + 0.0189966i
\(628\) 353.012 912.948i 0.562121 1.45374i
\(629\) −31.5195 + 3.10440i −0.0501105 + 0.00493546i
\(630\) 23.9075 + 10.9622i 0.0379484 + 0.0174002i
\(631\) −508.061 101.060i −0.805168 0.160158i −0.224686 0.974431i \(-0.572136\pi\)
−0.580482 + 0.814273i \(0.697136\pi\)
\(632\) −6.05592 + 449.021i −0.00958214 + 0.710476i
\(633\) −1023.52 + 203.590i −1.61693 + 0.321628i
\(634\) 104.886 64.5701i 0.165435 0.101846i
\(635\) 293.608 967.897i 0.462375 1.52425i
\(636\) 389.886 + 689.546i 0.613028 + 1.08419i
\(637\) 518.427 + 631.705i 0.813857 + 0.991687i
\(638\) 23.2346 + 3.16521i 0.0364178 + 0.00496115i
\(639\) 81.4777i 0.127508i
\(640\) −202.482 594.037i −0.316378 0.928183i
\(641\) 36.3483 0.0567056 0.0283528 0.999598i \(-0.490974\pi\)
0.0283528 + 0.999598i \(0.490974\pi\)
\(642\) 48.0586 352.779i 0.0748577 0.549501i
\(643\) 970.210 796.230i 1.50888 1.23831i 0.616220 0.787574i \(-0.288663\pi\)
0.892660 0.450731i \(-0.148837\pi\)
\(644\) 207.818 + 367.543i 0.322698 + 0.570719i
\(645\) −932.038 282.731i −1.44502 0.438342i
\(646\) 98.3574 + 159.769i 0.152256 + 0.247320i
\(647\) −35.7834 179.895i −0.0553067 0.278045i 0.943229 0.332143i \(-0.107772\pi\)
−0.998536 + 0.0540978i \(0.982772\pi\)
\(648\) −484.513 497.761i −0.747706 0.768150i
\(649\) 12.3430 62.0523i 0.0190184 0.0956122i
\(650\) −18.9867 + 41.4083i −0.0292103 + 0.0637051i
\(651\) 46.8849 + 476.030i 0.0720198 + 0.731229i
\(652\) 136.687 353.496i 0.209643 0.542172i
\(653\) −17.8281 58.7714i −0.0273019 0.0900022i 0.942231 0.334965i \(-0.108724\pi\)
−0.969533 + 0.244962i \(0.921224\pi\)
\(654\) −420.082 + 25.6376i −0.642327 + 0.0392012i
\(655\) 792.256 328.163i 1.20955 0.501012i
\(656\) −129.602 + 6.15663i −0.197564 + 0.00938511i
\(657\) 11.4268 27.5868i 0.0173924 0.0419891i
\(658\) −125.134 43.1054i −0.190173 0.0655098i
\(659\) 479.471 897.028i 0.727574 1.36120i −0.197080 0.980387i \(-0.563146\pi\)
0.924654 0.380808i \(-0.124354\pi\)
\(660\) 40.9642 + 183.115i 0.0620670 + 0.277447i
\(661\) −489.626 401.825i −0.740735 0.607905i 0.186470 0.982461i \(-0.440295\pi\)
−0.927205 + 0.374555i \(0.877795\pi\)
\(662\) 1177.97 + 43.8648i 1.77941 + 0.0662610i
\(663\) 1344.76 898.543i 2.02830 1.35527i
\(664\) −299.112 374.661i −0.450470 0.564248i
\(665\) 66.7455 + 44.5979i 0.100369 + 0.0670646i
\(666\) −2.00886 + 0.322395i −0.00301631 + 0.000484076i
\(667\) 49.7547 + 93.0846i 0.0745948 + 0.139557i
\(668\) 311.692 + 361.930i 0.466605 + 0.541811i
\(669\) 14.4575 146.790i 0.0216106 0.219417i
\(670\) 3.07849 + 11.6992i 0.00459477 + 0.0174615i
\(671\) −233.427 233.427i −0.347880 0.347880i
\(672\) −78.0561 372.426i −0.116155 0.554206i
\(673\) −408.598 408.598i −0.607129 0.607129i 0.335066 0.942195i \(-0.391241\pi\)
−0.942195 + 0.335066i \(0.891241\pi\)
\(674\) −475.117 277.164i −0.704921 0.411222i
\(675\) −2.43079 + 24.6802i −0.00360117 + 0.0365633i
\(676\) −1498.65 + 493.741i −2.21694 + 0.730387i
\(677\) −174.621 326.693i −0.257933 0.482559i 0.719308 0.694692i \(-0.244459\pi\)
−0.977241 + 0.212132i \(0.931959\pi\)
\(678\) 292.196 + 211.379i 0.430968 + 0.311769i
\(679\) 487.286 + 325.594i 0.717652 + 0.479520i
\(680\) 762.065 394.212i 1.12068 0.579724i
\(681\) −417.270 + 278.811i −0.612731 + 0.409414i
\(682\) −181.114 + 168.109i −0.265563 + 0.246495i
\(683\) −312.314 256.309i −0.457267 0.375270i 0.377376 0.926060i \(-0.376826\pi\)
−0.834644 + 0.550790i \(0.814326\pi\)
\(684\) 6.93182 + 9.85937i 0.0101342 + 0.0144143i
\(685\) 439.535 822.311i 0.641656 1.20045i
\(686\) 279.152 + 572.538i 0.406927 + 0.834603i
\(687\) −49.7674 + 120.149i −0.0724416 + 0.174890i
\(688\) 342.194 + 961.271i 0.497374 + 1.39720i
\(689\) 1394.28 577.529i 2.02363 0.838214i
\(690\) −559.730 + 632.491i −0.811203 + 0.916654i
\(691\) 323.624 + 1066.85i 0.468342 + 1.54392i 0.799693 + 0.600410i \(0.204996\pi\)
−0.331350 + 0.943508i \(0.607504\pi\)
\(692\) −615.410 + 645.338i −0.889321 + 0.932570i
\(693\) 0.807467 + 8.19835i 0.00116518 + 0.0118302i
\(694\) −846.631 + 314.311i −1.21993 + 0.452898i
\(695\) −240.284 + 1207.99i −0.345733 + 1.73812i
\(696\) −17.2974 93.5352i −0.0248526 0.134390i
\(697\) −34.6050 173.971i −0.0496484 0.249600i
\(698\) 70.9909 + 16.8896i 0.101706 + 0.0241971i
\(699\) 146.071 + 44.3101i 0.208971 + 0.0633907i
\(700\) −9.02378 + 11.5436i −0.0128911 + 0.0164909i
\(701\) −443.468 + 363.945i −0.632623 + 0.519180i −0.895162 0.445741i \(-0.852940\pi\)
0.262539 + 0.964921i \(0.415440\pi\)
\(702\) −976.812 + 742.581i −1.39147 + 1.05781i
\(703\) −6.20980 −0.00883328
\(704\) 128.760 148.538i 0.182898 0.210991i
\(705\) 264.744i 0.375524i
\(706\) −910.589 + 692.238i −1.28979 + 0.980508i
\(707\) −70.6729 86.1152i −0.0999617 0.121804i
\(708\) −254.741 + 31.2099i −0.359803 + 0.0440818i
\(709\) 215.509 710.437i 0.303961 1.00203i −0.663323 0.748333i \(-0.730855\pi\)
0.967285 0.253693i \(-0.0816454\pi\)
\(710\) 1106.36 + 263.217i 1.55826 + 0.370728i
\(711\) −38.6791 + 7.69376i −0.0544010 + 0.0108210i
\(712\) −602.144 + 390.698i −0.845708 + 0.548733i
\(713\) −1090.90 216.993i −1.53001 0.304338i
\(714\) 487.683 181.052i 0.683030 0.253575i
\(715\) 355.767 35.0399i 0.497576 0.0490069i
\(716\) −4.14269 174.512i −0.00578587 0.243732i
\(717\) −333.684 + 101.222i −0.465390 + 0.141174i
\(718\) 656.342 741.663i 0.914126 1.03296i
\(719\) 123.970 + 299.291i 0.172420 + 0.416260i 0.986341 0.164717i \(-0.0526709\pi\)
−0.813921 + 0.580976i \(0.802671\pi\)
\(720\) 47.3205 28.2588i 0.0657229 0.0392483i
\(721\) 186.797 + 77.3739i 0.259081 + 0.107315i
\(722\) −300.297 615.907i −0.415924 0.853056i
\(723\) 288.295 + 154.097i 0.398749 + 0.213136i
\(724\) 62.7642 359.989i 0.0866909 0.497222i
\(725\) −2.32359 + 2.83131i −0.00320496 + 0.00390525i
\(726\) 509.409 472.833i 0.701665 0.651285i
\(727\) −193.465 289.540i −0.266114 0.398267i 0.674215 0.738535i \(-0.264482\pi\)
−0.940328 + 0.340268i \(0.889482\pi\)
\(728\) −722.352 + 61.3217i −0.992242 + 0.0842331i
\(729\) −368.651 + 551.725i −0.505694 + 0.756825i
\(730\) −337.679 244.282i −0.462574 0.334633i
\(731\) −1230.22 + 657.569i −1.68293 + 0.899547i
\(732\) −603.047 + 1195.64i −0.823834 + 1.63338i
\(733\) −159.672 15.7263i −0.217834 0.0214548i −0.0114886 0.999934i \(-0.503657\pi\)
−0.206345 + 0.978479i \(0.566157\pi\)
\(734\) −102.384 59.7266i −0.139488 0.0813714i
\(735\) −371.785 + 371.785i −0.505831 + 0.505831i
\(736\) 881.400 + 77.6990i 1.19755 + 0.105569i
\(737\) −2.67936 + 2.67936i −0.00363550 + 0.00363550i
\(738\) −2.89963 11.0195i −0.00392904 0.0149316i
\(739\) 819.662 + 80.7296i 1.10915 + 0.109242i 0.635962 0.771720i \(-0.280603\pi\)
0.473188 + 0.880962i \(0.343103\pi\)
\(740\) −2.11201 + 28.3193i −0.00285407 + 0.0382693i
\(741\) 279.661 149.482i 0.377410 0.201730i
\(742\) 479.279 76.9176i 0.645928 0.103663i
\(743\) −355.072 + 531.403i −0.477890 + 0.715213i −0.989584 0.143955i \(-0.954018\pi\)
0.511694 + 0.859167i \(0.329018\pi\)
\(744\) 877.580 + 484.404i 1.17954 + 0.651081i
\(745\) 390.884 + 584.999i 0.524676 + 0.785233i
\(746\) 294.919 + 10.9821i 0.395334 + 0.0147213i
\(747\) 26.7096 32.5457i 0.0357558 0.0435686i
\(748\) 226.931 + 143.960i 0.303383 + 0.192459i
\(749\) −192.413 102.847i −0.256894 0.137312i
\(750\) −749.708 258.256i −0.999610 0.344341i
\(751\) −249.109 103.184i −0.331703 0.137396i 0.210615 0.977569i \(-0.432453\pi\)
−0.542318 + 0.840173i \(0.682453\pi\)
\(752\) −223.038 + 164.858i −0.296594 + 0.219225i
\(753\) 249.212 + 601.650i 0.330959 + 0.799005i