Properties

Label 570.2.s.a.221.9
Level $570$
Weight $2$
Character 570.221
Analytic conductor $4.551$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 221.9
Character \(\chi\) \(=\) 570.221
Dual form 570.2.s.a.521.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 - 0.866025i) q^{2} +(1.37489 + 1.05342i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(0.866025 - 0.500000i) q^{5} +(0.224845 - 1.71739i) q^{6} -1.74360 q^{7} +1.00000 q^{8} +(0.780619 + 2.89666i) q^{9} +O(q^{10})\) \(q+(-0.500000 - 0.866025i) q^{2} +(1.37489 + 1.05342i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(0.866025 - 0.500000i) q^{5} +(0.224845 - 1.71739i) q^{6} -1.74360 q^{7} +1.00000 q^{8} +(0.780619 + 2.89666i) q^{9} +(-0.866025 - 0.500000i) q^{10} -4.48400i q^{11} +(-1.59973 + 0.663976i) q^{12} +(3.14527 + 1.81592i) q^{13} +(0.871800 + 1.51000i) q^{14} +(1.71739 + 0.224845i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(5.72021 - 3.30257i) q^{17} +(2.11827 - 2.12437i) q^{18} +(3.74911 + 2.22354i) q^{19} +1.00000i q^{20} +(-2.39725 - 1.83674i) q^{21} +(-3.88325 + 2.24200i) q^{22} +(1.69230 + 0.977053i) q^{23} +(1.37489 + 1.05342i) q^{24} +(0.500000 - 0.866025i) q^{25} -3.63184i q^{26} +(-1.97813 + 4.80489i) q^{27} +(0.871800 - 1.51000i) q^{28} +(-0.271323 + 0.469946i) q^{29} +(-0.663976 - 1.59973i) q^{30} +8.66957i q^{31} +(-0.500000 + 0.866025i) q^{32} +(4.72353 - 6.16498i) q^{33} +(-5.72021 - 3.30257i) q^{34} +(-1.51000 + 0.871800i) q^{35} +(-2.89889 - 0.772294i) q^{36} -0.251265i q^{37} +(0.0510884 - 4.35860i) q^{38} +(2.41146 + 5.80997i) q^{39} +(0.866025 - 0.500000i) q^{40} +(2.28336 + 3.95489i) q^{41} +(-0.392039 + 2.99445i) q^{42} +(-2.13741 - 3.70210i) q^{43} +(3.88325 + 2.24200i) q^{44} +(2.12437 + 2.11827i) q^{45} -1.95411i q^{46} +(1.28818 + 0.743732i) q^{47} +(0.224845 - 1.71739i) q^{48} -3.95986 q^{49} -1.00000 q^{50} +(11.3436 + 1.48513i) q^{51} +(-3.14527 + 1.81592i) q^{52} +(-0.0649443 + 0.112487i) q^{53} +(5.15023 - 0.689332i) q^{54} +(-2.24200 - 3.88325i) q^{55} -1.74360 q^{56} +(2.81228 + 7.00650i) q^{57} +0.542647 q^{58} +(-3.22878 - 5.59241i) q^{59} +(-1.05342 + 1.37489i) q^{60} +(1.04215 - 1.80505i) q^{61} +(7.50806 - 4.33478i) q^{62} +(-1.36109 - 5.05062i) q^{63} +1.00000 q^{64} +3.63184 q^{65} +(-7.70079 - 1.00820i) q^{66} +(-7.40682 - 4.27633i) q^{67} +6.60513i q^{68} +(1.29748 + 3.12604i) q^{69} +(1.51000 + 0.871800i) q^{70} +(-4.78907 - 8.29492i) q^{71} +(0.780619 + 2.89666i) q^{72} +(-3.51522 - 6.08853i) q^{73} +(-0.217602 + 0.125633i) q^{74} +(1.59973 - 0.663976i) q^{75} +(-3.80020 + 2.13506i) q^{76} +7.81830i q^{77} +(3.82585 - 4.99337i) q^{78} +(-5.04814 + 2.91454i) q^{79} +(-0.866025 - 0.500000i) q^{80} +(-7.78127 + 4.52237i) q^{81} +(2.28336 - 3.95489i) q^{82} -10.2566i q^{83} +(2.78929 - 1.15771i) q^{84} +(3.30257 - 5.72021i) q^{85} +(-2.13741 + 3.70210i) q^{86} +(-0.868088 + 0.360305i) q^{87} -4.48400i q^{88} +(-2.10618 + 3.64801i) q^{89} +(0.772294 - 2.89889i) q^{90} +(-5.48409 - 3.16624i) q^{91} +(-1.69230 + 0.977053i) q^{92} +(-9.13268 + 11.9197i) q^{93} -1.48746i q^{94} +(4.35860 + 0.0510884i) q^{95} +(-1.59973 + 0.663976i) q^{96} +(9.01717 - 5.20607i) q^{97} +(1.97993 + 3.42934i) q^{98} +(12.9886 - 3.50029i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 12q^{2} + 4q^{3} - 12q^{4} - 2q^{6} - 12q^{7} + 24q^{8} - 4q^{9} + O(q^{10}) \) \( 24q - 12q^{2} + 4q^{3} - 12q^{4} - 2q^{6} - 12q^{7} + 24q^{8} - 4q^{9} - 2q^{12} + 18q^{13} + 6q^{14} - 12q^{16} + 12q^{17} + 2q^{18} + 6q^{19} - 6q^{21} + 18q^{22} + 4q^{24} + 12q^{25} + 28q^{27} + 6q^{28} - 12q^{32} - 22q^{33} - 12q^{34} + 2q^{36} + 6q^{38} + 40q^{39} + 6q^{41} - 6q^{42} - 22q^{43} - 18q^{44} + 8q^{45} + 12q^{47} - 2q^{48} + 12q^{49} - 24q^{50} - 20q^{51} - 18q^{52} + 8q^{53} + 4q^{54} - 12q^{56} + 26q^{59} + 22q^{61} - 18q^{62} + 6q^{63} + 24q^{64} + 8q^{65} + 8q^{66} - 48q^{67} - 64q^{69} + 24q^{71} - 4q^{72} - 8q^{73} + 30q^{74} + 2q^{75} - 12q^{76} - 38q^{78} + 18q^{79} - 12q^{81} + 6q^{82} + 12q^{84} - 22q^{86} - 24q^{87} + 28q^{89} + 8q^{90} + 18q^{91} + 2q^{93} - 2q^{96} + 6q^{97} - 6q^{98} + 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{6}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 0.866025i −0.353553 0.612372i
\(3\) 1.37489 + 1.05342i 0.793790 + 0.608192i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) 0.224845 1.71739i 0.0917925 0.701123i
\(7\) −1.74360 −0.659019 −0.329510 0.944152i \(-0.606883\pi\)
−0.329510 + 0.944152i \(0.606883\pi\)
\(8\) 1.00000 0.353553
\(9\) 0.780619 + 2.89666i 0.260206 + 0.965553i
\(10\) −0.866025 0.500000i −0.273861 0.158114i
\(11\) 4.48400i 1.35198i −0.736913 0.675988i \(-0.763717\pi\)
0.736913 0.675988i \(-0.236283\pi\)
\(12\) −1.59973 + 0.663976i −0.461802 + 0.191673i
\(13\) 3.14527 + 1.81592i 0.872341 + 0.503646i 0.868125 0.496345i \(-0.165325\pi\)
0.00421545 + 0.999991i \(0.498658\pi\)
\(14\) 0.871800 + 1.51000i 0.232998 + 0.403565i
\(15\) 1.71739 + 0.224845i 0.443429 + 0.0580546i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 5.72021 3.30257i 1.38736 0.800990i 0.394339 0.918965i \(-0.370974\pi\)
0.993017 + 0.117975i \(0.0376402\pi\)
\(18\) 2.11827 2.12437i 0.499281 0.500718i
\(19\) 3.74911 + 2.22354i 0.860106 + 0.510116i
\(20\) 1.00000i 0.223607i
\(21\) −2.39725 1.83674i −0.523123 0.400810i
\(22\) −3.88325 + 2.24200i −0.827913 + 0.477996i
\(23\) 1.69230 + 0.977053i 0.352870 + 0.203730i 0.665949 0.745998i \(-0.268027\pi\)
−0.313079 + 0.949727i \(0.601360\pi\)
\(24\) 1.37489 + 1.05342i 0.280647 + 0.215028i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 3.63184i 0.712263i
\(27\) −1.97813 + 4.80489i −0.380692 + 0.924702i
\(28\) 0.871800 1.51000i 0.164755 0.285364i
\(29\) −0.271323 + 0.469946i −0.0503835 + 0.0872668i −0.890117 0.455732i \(-0.849378\pi\)
0.839734 + 0.542998i \(0.182711\pi\)
\(30\) −0.663976 1.59973i −0.121225 0.292069i
\(31\) 8.66957i 1.55710i 0.627583 + 0.778550i \(0.284044\pi\)
−0.627583 + 0.778550i \(0.715956\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) 4.72353 6.16498i 0.822260 1.07319i
\(34\) −5.72021 3.30257i −0.981009 0.566386i
\(35\) −1.51000 + 0.871800i −0.255237 + 0.147361i
\(36\) −2.89889 0.772294i −0.483148 0.128716i
\(37\) 0.251265i 0.0413078i −0.999787 0.0206539i \(-0.993425\pi\)
0.999787 0.0206539i \(-0.00657480\pi\)
\(38\) 0.0510884 4.35860i 0.00828764 0.707058i
\(39\) 2.41146 + 5.80997i 0.386142 + 0.930340i
\(40\) 0.866025 0.500000i 0.136931 0.0790569i
\(41\) 2.28336 + 3.95489i 0.356600 + 0.617650i 0.987390 0.158304i \(-0.0506025\pi\)
−0.630790 + 0.775953i \(0.717269\pi\)
\(42\) −0.392039 + 2.99445i −0.0604930 + 0.462054i
\(43\) −2.13741 3.70210i −0.325952 0.564566i 0.655752 0.754976i \(-0.272351\pi\)
−0.981705 + 0.190410i \(0.939018\pi\)
\(44\) 3.88325 + 2.24200i 0.585423 + 0.337994i
\(45\) 2.12437 + 2.11827i 0.316682 + 0.315773i
\(46\) 1.95411i 0.288117i
\(47\) 1.28818 + 0.743732i 0.187901 + 0.108484i 0.590999 0.806672i \(-0.298734\pi\)
−0.403099 + 0.915156i \(0.632067\pi\)
\(48\) 0.224845 1.71739i 0.0324535 0.247885i
\(49\) −3.95986 −0.565694
\(50\) −1.00000 −0.141421
\(51\) 11.3436 + 1.48513i 1.58842 + 0.207960i
\(52\) −3.14527 + 1.81592i −0.436170 + 0.251823i
\(53\) −0.0649443 + 0.112487i −0.00892079 + 0.0154513i −0.870451 0.492254i \(-0.836173\pi\)
0.861531 + 0.507706i \(0.169506\pi\)
\(54\) 5.15023 0.689332i 0.700857 0.0938062i
\(55\) −2.24200 3.88325i −0.302311 0.523618i
\(56\) −1.74360 −0.232998
\(57\) 2.81228 + 7.00650i 0.372495 + 0.928034i
\(58\) 0.542647 0.0712530
\(59\) −3.22878 5.59241i −0.420351 0.728069i 0.575623 0.817715i \(-0.304760\pi\)
−0.995974 + 0.0896460i \(0.971426\pi\)
\(60\) −1.05342 + 1.37489i −0.135996 + 0.177497i
\(61\) 1.04215 1.80505i 0.133433 0.231114i −0.791564 0.611086i \(-0.790733\pi\)
0.924998 + 0.379972i \(0.124066\pi\)
\(62\) 7.50806 4.33478i 0.953525 0.550518i
\(63\) −1.36109 5.05062i −0.171481 0.636318i
\(64\) 1.00000 0.125000
\(65\) 3.63184 0.450475
\(66\) −7.70079 1.00820i −0.947902 0.124101i
\(67\) −7.40682 4.27633i −0.904888 0.522437i −0.0261048 0.999659i \(-0.508310\pi\)
−0.878783 + 0.477222i \(0.841644\pi\)
\(68\) 6.60513i 0.800990i
\(69\) 1.29748 + 3.12604i 0.156198 + 0.376331i
\(70\) 1.51000 + 0.871800i 0.180480 + 0.104200i
\(71\) −4.78907 8.29492i −0.568358 0.984426i −0.996729 0.0808224i \(-0.974245\pi\)
0.428370 0.903603i \(-0.359088\pi\)
\(72\) 0.780619 + 2.89666i 0.0919968 + 0.341375i
\(73\) −3.51522 6.08853i −0.411425 0.712609i 0.583621 0.812026i \(-0.301635\pi\)
−0.995046 + 0.0994174i \(0.968302\pi\)
\(74\) −0.217602 + 0.125633i −0.0252957 + 0.0146045i
\(75\) 1.59973 0.663976i 0.184721 0.0766694i
\(76\) −3.80020 + 2.13506i −0.435913 + 0.244908i
\(77\) 7.81830i 0.890978i
\(78\) 3.82585 4.99337i 0.433193 0.565388i
\(79\) −5.04814 + 2.91454i −0.567960 + 0.327912i −0.756334 0.654186i \(-0.773012\pi\)
0.188374 + 0.982097i \(0.439678\pi\)
\(80\) −0.866025 0.500000i −0.0968246 0.0559017i
\(81\) −7.78127 + 4.52237i −0.864586 + 0.502486i
\(82\) 2.28336 3.95489i 0.252154 0.436744i
\(83\) 10.2566i 1.12581i −0.826523 0.562903i \(-0.809685\pi\)
0.826523 0.562903i \(-0.190315\pi\)
\(84\) 2.78929 1.15771i 0.304336 0.126316i
\(85\) 3.30257 5.72021i 0.358214 0.620444i
\(86\) −2.13741 + 3.70210i −0.230483 + 0.399208i
\(87\) −0.868088 + 0.360305i −0.0930688 + 0.0386287i
\(88\) 4.48400i 0.477996i
\(89\) −2.10618 + 3.64801i −0.223255 + 0.386689i −0.955794 0.294036i \(-0.905002\pi\)
0.732540 + 0.680724i \(0.238335\pi\)
\(90\) 0.772294 2.89889i 0.0814070 0.305570i
\(91\) −5.48409 3.16624i −0.574889 0.331912i
\(92\) −1.69230 + 0.977053i −0.176435 + 0.101865i
\(93\) −9.13268 + 11.9197i −0.947015 + 1.23601i
\(94\) 1.48746i 0.153420i
\(95\) 4.35860 + 0.0510884i 0.447183 + 0.00524156i
\(96\) −1.59973 + 0.663976i −0.163272 + 0.0677668i
\(97\) 9.01717 5.20607i 0.915555 0.528596i 0.0333409 0.999444i \(-0.489385\pi\)
0.882214 + 0.470848i \(0.156052\pi\)
\(98\) 1.97993 + 3.42934i 0.200003 + 0.346415i
\(99\) 12.9886 3.50029i 1.30540 0.351792i
\(100\) 0.500000 + 0.866025i 0.0500000 + 0.0866025i
\(101\) 9.94712 + 5.74297i 0.989776 + 0.571447i 0.905207 0.424970i \(-0.139715\pi\)
0.0845686 + 0.996418i \(0.473049\pi\)
\(102\) −4.38565 10.5664i −0.434244 1.04623i
\(103\) 17.6607i 1.74016i −0.492909 0.870081i \(-0.664066\pi\)
0.492909 0.870081i \(-0.335934\pi\)
\(104\) 3.14527 + 1.81592i 0.308419 + 0.178066i
\(105\) −2.99445 0.392039i −0.292228 0.0382591i
\(106\) 0.129889 0.0126159
\(107\) −20.1581 −1.94875 −0.974377 0.224920i \(-0.927788\pi\)
−0.974377 + 0.224920i \(0.927788\pi\)
\(108\) −3.17209 4.11556i −0.305235 0.396020i
\(109\) −5.41805 + 3.12812i −0.518955 + 0.299619i −0.736507 0.676430i \(-0.763526\pi\)
0.217552 + 0.976049i \(0.430193\pi\)
\(110\) −2.24200 + 3.88325i −0.213766 + 0.370254i
\(111\) 0.264688 0.345461i 0.0251230 0.0327897i
\(112\) 0.871800 + 1.51000i 0.0823774 + 0.142682i
\(113\) 6.35512 0.597840 0.298920 0.954278i \(-0.403374\pi\)
0.298920 + 0.954278i \(0.403374\pi\)
\(114\) 4.66167 5.93876i 0.436605 0.556215i
\(115\) 1.95411 0.182221
\(116\) −0.271323 0.469946i −0.0251917 0.0436334i
\(117\) −2.80485 + 10.5283i −0.259309 + 0.973343i
\(118\) −3.22878 + 5.59241i −0.297233 + 0.514823i
\(119\) −9.97377 + 5.75836i −0.914294 + 0.527868i
\(120\) 1.71739 + 0.224845i 0.156776 + 0.0205254i
\(121\) −9.10622 −0.827839
\(122\) −2.08430 −0.188703
\(123\) −1.02680 + 7.84285i −0.0925835 + 0.707166i
\(124\) −7.50806 4.33478i −0.674244 0.389275i
\(125\) 1.00000i 0.0894427i
\(126\) −3.69342 + 3.70404i −0.329036 + 0.329982i
\(127\) 10.3685 + 5.98626i 0.920056 + 0.531195i 0.883653 0.468142i \(-0.155077\pi\)
0.0364032 + 0.999337i \(0.488410\pi\)
\(128\) −0.500000 0.866025i −0.0441942 0.0765466i
\(129\) 0.961171 7.34156i 0.0846264 0.646388i
\(130\) −1.81592 3.14527i −0.159267 0.275858i
\(131\) −7.92681 + 4.57655i −0.692569 + 0.399855i −0.804574 0.593853i \(-0.797606\pi\)
0.112005 + 0.993708i \(0.464273\pi\)
\(132\) 2.97727 + 7.17318i 0.259138 + 0.624345i
\(133\) −6.53696 3.87697i −0.566826 0.336176i
\(134\) 8.55266i 0.738838i
\(135\) 0.689332 + 5.15023i 0.0593282 + 0.443261i
\(136\) 5.72021 3.30257i 0.490504 0.283193i
\(137\) −13.2938 7.67520i −1.13577 0.655737i −0.190390 0.981709i \(-0.560975\pi\)
−0.945380 + 0.325972i \(0.894309\pi\)
\(138\) 2.05849 2.68667i 0.175230 0.228705i
\(139\) −7.91901 + 13.7161i −0.671682 + 1.16339i 0.305745 + 0.952113i \(0.401094\pi\)
−0.977427 + 0.211273i \(0.932239\pi\)
\(140\) 1.74360i 0.147361i
\(141\) 0.987641 + 2.37954i 0.0831743 + 0.200393i
\(142\) −4.78907 + 8.29492i −0.401890 + 0.696094i
\(143\) 8.14259 14.1034i 0.680918 1.17938i
\(144\) 2.11827 2.12437i 0.176523 0.177030i
\(145\) 0.542647i 0.0450644i
\(146\) −3.51522 + 6.08853i −0.290921 + 0.503891i
\(147\) −5.44435 4.17139i −0.449042 0.344050i
\(148\) 0.217602 + 0.125633i 0.0178868 + 0.0103269i
\(149\) −17.1301 + 9.89007i −1.40335 + 0.810226i −0.994735 0.102480i \(-0.967322\pi\)
−0.408618 + 0.912706i \(0.633989\pi\)
\(150\) −1.37489 1.05342i −0.112259 0.0860113i
\(151\) 21.5191i 1.75120i 0.483038 + 0.875599i \(0.339533\pi\)
−0.483038 + 0.875599i \(0.660467\pi\)
\(152\) 3.74911 + 2.22354i 0.304093 + 0.180353i
\(153\) 14.0317 + 13.9915i 1.13440 + 1.13114i
\(154\) 6.77084 3.90915i 0.545610 0.315008i
\(155\) 4.33478 + 7.50806i 0.348178 + 0.603062i
\(156\) −6.23731 0.816601i −0.499385 0.0653804i
\(157\) 6.77384 + 11.7326i 0.540611 + 0.936366i 0.998869 + 0.0475464i \(0.0151402\pi\)
−0.458258 + 0.888819i \(0.651526\pi\)
\(158\) 5.04814 + 2.91454i 0.401608 + 0.231869i
\(159\) −0.207787 + 0.0862430i −0.0164786 + 0.00683951i
\(160\) 1.00000i 0.0790569i
\(161\) −2.95070 1.70359i −0.232548 0.134262i
\(162\) 7.80712 + 4.47759i 0.613386 + 0.351793i
\(163\) 7.90301 0.619011 0.309506 0.950898i \(-0.399836\pi\)
0.309506 + 0.950898i \(0.399836\pi\)
\(164\) −4.56671 −0.356600
\(165\) 1.00820 7.70079i 0.0784885 0.599506i
\(166\) −8.88246 + 5.12829i −0.689412 + 0.398032i
\(167\) −4.08621 + 7.07753i −0.316201 + 0.547676i −0.979692 0.200508i \(-0.935741\pi\)
0.663491 + 0.748184i \(0.269074\pi\)
\(168\) −2.39725 1.83674i −0.184952 0.141708i
\(169\) 0.0951480 + 0.164801i 0.00731908 + 0.0126770i
\(170\) −6.60513 −0.506591
\(171\) −3.51422 + 12.5956i −0.268739 + 0.963213i
\(172\) 4.27482 0.325952
\(173\) 8.82834 + 15.2911i 0.671206 + 1.16256i 0.977562 + 0.210647i \(0.0675569\pi\)
−0.306356 + 0.951917i \(0.599110\pi\)
\(174\) 0.746077 + 0.571634i 0.0565600 + 0.0433355i
\(175\) −0.871800 + 1.51000i −0.0659019 + 0.114145i
\(176\) −3.88325 + 2.24200i −0.292711 + 0.168997i
\(177\) 1.45195 11.0902i 0.109135 0.833588i
\(178\) 4.21236 0.315730
\(179\) −19.9723 −1.49280 −0.746402 0.665496i \(-0.768220\pi\)
−0.746402 + 0.665496i \(0.768220\pi\)
\(180\) −2.89666 + 0.780619i −0.215904 + 0.0581839i
\(181\) 2.87130 + 1.65774i 0.213422 + 0.123219i 0.602901 0.797816i \(-0.294012\pi\)
−0.389479 + 0.921035i \(0.627345\pi\)
\(182\) 6.33249i 0.469395i
\(183\) 3.33431 1.38392i 0.246480 0.102303i
\(184\) 1.69230 + 0.977053i 0.124758 + 0.0720293i
\(185\) −0.125633 0.217602i −0.00923670 0.0159984i
\(186\) 14.8891 + 1.94931i 1.09172 + 0.142930i
\(187\) −14.8087 25.6494i −1.08292 1.87567i
\(188\) −1.28818 + 0.743732i −0.0939503 + 0.0542422i
\(189\) 3.44908 8.37781i 0.250883 0.609396i
\(190\) −2.13506 3.80020i −0.154893 0.275696i
\(191\) 9.19637i 0.665426i −0.943028 0.332713i \(-0.892036\pi\)
0.943028 0.332713i \(-0.107964\pi\)
\(192\) 1.37489 + 1.05342i 0.0992238 + 0.0760239i
\(193\) 11.3952 6.57904i 0.820247 0.473570i −0.0302545 0.999542i \(-0.509632\pi\)
0.850502 + 0.525972i \(0.176298\pi\)
\(194\) −9.01717 5.20607i −0.647395 0.373774i
\(195\) 4.99337 + 3.82585i 0.357583 + 0.273975i
\(196\) 1.97993 3.42934i 0.141423 0.244953i
\(197\) 27.4692i 1.95710i −0.206016 0.978549i \(-0.566050\pi\)
0.206016 0.978549i \(-0.433950\pi\)
\(198\) −9.52565 9.49832i −0.676958 0.675016i
\(199\) −4.51192 + 7.81487i −0.319841 + 0.553981i −0.980455 0.196745i \(-0.936963\pi\)
0.660613 + 0.750726i \(0.270296\pi\)
\(200\) 0.500000 0.866025i 0.0353553 0.0612372i
\(201\) −5.67876 13.6820i −0.400549 0.965050i
\(202\) 11.4859i 0.808149i
\(203\) 0.473080 0.819398i 0.0332037 0.0575105i
\(204\) −6.95797 + 9.08130i −0.487155 + 0.635818i
\(205\) 3.95489 + 2.28336i 0.276221 + 0.159476i
\(206\) −15.2946 + 8.83036i −1.06563 + 0.615240i
\(207\) −1.50914 + 5.66474i −0.104893 + 0.393726i
\(208\) 3.63184i 0.251823i
\(209\) 9.97036 16.8110i 0.689664 1.16284i
\(210\) 1.15771 + 2.78929i 0.0798895 + 0.192479i
\(211\) −18.1457 + 10.4764i −1.24920 + 0.721226i −0.970950 0.239282i \(-0.923088\pi\)
−0.278251 + 0.960508i \(0.589755\pi\)
\(212\) −0.0649443 0.112487i −0.00446040 0.00772563i
\(213\) 2.15360 16.4495i 0.147562 1.12710i
\(214\) 10.0790 + 17.4574i 0.688989 + 1.19336i
\(215\) −3.70210 2.13741i −0.252481 0.145770i
\(216\) −1.97813 + 4.80489i −0.134595 + 0.326931i
\(217\) 15.1163i 1.02616i
\(218\) 5.41805 + 3.12812i 0.366957 + 0.211863i
\(219\) 1.58076 12.0740i 0.106818 0.815887i
\(220\) 4.48400 0.302311
\(221\) 23.9888 1.61366
\(222\) −0.431522 0.0564957i −0.0289618 0.00379174i
\(223\) −11.2359 + 6.48704i −0.752410 + 0.434404i −0.826564 0.562843i \(-0.809708\pi\)
0.0741541 + 0.997247i \(0.476374\pi\)
\(224\) 0.871800 1.51000i 0.0582496 0.100891i
\(225\) 2.89889 + 0.772294i 0.193259 + 0.0514863i
\(226\) −3.17756 5.50370i −0.211368 0.366100i
\(227\) 21.2257 1.40880 0.704401 0.709803i \(-0.251216\pi\)
0.704401 + 0.709803i \(0.251216\pi\)
\(228\) −7.47395 1.06775i −0.494974 0.0707133i
\(229\) 9.69163 0.640441 0.320220 0.947343i \(-0.396243\pi\)
0.320220 + 0.947343i \(0.396243\pi\)
\(230\) −0.977053 1.69230i −0.0644249 0.111587i
\(231\) −8.23594 + 10.7493i −0.541885 + 0.707250i
\(232\) −0.271323 + 0.469946i −0.0178133 + 0.0308535i
\(233\) −14.0033 + 8.08481i −0.917387 + 0.529654i −0.882801 0.469748i \(-0.844345\pi\)
−0.0345867 + 0.999402i \(0.511011\pi\)
\(234\) 10.5202 2.83509i 0.687728 0.185335i
\(235\) 1.48746 0.0970314
\(236\) 6.45756 0.420351
\(237\) −10.0108 1.31064i −0.650274 0.0851352i
\(238\) 9.97377 + 5.75836i 0.646503 + 0.373259i
\(239\) 21.3293i 1.37968i −0.723964 0.689838i \(-0.757682\pi\)
0.723964 0.689838i \(-0.242318\pi\)
\(240\) −0.663976 1.59973i −0.0428595 0.103262i
\(241\) 3.63151 + 2.09666i 0.233926 + 0.135057i 0.612382 0.790562i \(-0.290211\pi\)
−0.378456 + 0.925619i \(0.623545\pi\)
\(242\) 4.55311 + 7.88622i 0.292685 + 0.506946i
\(243\) −15.4623 1.97919i −0.991907 0.126965i
\(244\) 1.04215 + 1.80505i 0.0667167 + 0.115557i
\(245\) −3.42934 + 1.97993i −0.219092 + 0.126493i
\(246\) 7.30551 3.03219i 0.465782 0.193325i
\(247\) 7.75419 + 13.8017i 0.493387 + 0.878184i
\(248\) 8.66957i 0.550518i
\(249\) 10.8045 14.1016i 0.684705 0.893654i
\(250\) −0.866025 + 0.500000i −0.0547723 + 0.0316228i
\(251\) 20.8600 + 12.0435i 1.31667 + 0.760179i 0.983191 0.182579i \(-0.0584444\pi\)
0.333478 + 0.942758i \(0.391778\pi\)
\(252\) 5.05451 + 1.34657i 0.318404 + 0.0848261i
\(253\) 4.38110 7.58829i 0.275437 0.477072i
\(254\) 11.9725i 0.751223i
\(255\) 10.5664 4.38565i 0.661696 0.274640i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −5.58082 + 9.66626i −0.348122 + 0.602965i −0.985916 0.167242i \(-0.946514\pi\)
0.637794 + 0.770207i \(0.279847\pi\)
\(258\) −6.83856 + 2.83838i −0.425750 + 0.176710i
\(259\) 0.438106i 0.0272226i
\(260\) −1.81592 + 3.14527i −0.112619 + 0.195061i
\(261\) −1.57307 0.419083i −0.0973708 0.0259406i
\(262\) 7.92681 + 4.57655i 0.489720 + 0.282740i
\(263\) 12.8454 7.41629i 0.792081 0.457308i −0.0486138 0.998818i \(-0.515480\pi\)
0.840695 + 0.541510i \(0.182147\pi\)
\(264\) 4.72353 6.16498i 0.290713 0.379428i
\(265\) 0.129889i 0.00797900i
\(266\) −0.0890778 + 7.59966i −0.00546171 + 0.465965i
\(267\) −6.73865 + 2.79691i −0.412398 + 0.171168i
\(268\) 7.40682 4.27633i 0.452444 0.261219i
\(269\) −3.20285 5.54749i −0.195281 0.338237i 0.751712 0.659492i \(-0.229229\pi\)
−0.946993 + 0.321255i \(0.895895\pi\)
\(270\) 4.11556 3.17209i 0.250465 0.193047i
\(271\) 8.80426 + 15.2494i 0.534820 + 0.926336i 0.999172 + 0.0406852i \(0.0129541\pi\)
−0.464352 + 0.885651i \(0.653713\pi\)
\(272\) −5.72021 3.30257i −0.346839 0.200248i
\(273\) −4.20462 10.1303i −0.254475 0.613112i
\(274\) 15.3504i 0.927352i
\(275\) −3.88325 2.24200i −0.234169 0.135198i
\(276\) −3.35597 0.439370i −0.202006 0.0264470i
\(277\) −27.5243 −1.65377 −0.826887 0.562369i \(-0.809890\pi\)
−0.826887 + 0.562369i \(0.809890\pi\)
\(278\) 15.8380 0.949901
\(279\) −25.1128 + 6.76762i −1.50346 + 0.405167i
\(280\) −1.51000 + 0.871800i −0.0902399 + 0.0521000i
\(281\) 2.25447 3.90486i 0.134490 0.232944i −0.790912 0.611930i \(-0.790394\pi\)
0.925403 + 0.378985i \(0.123727\pi\)
\(282\) 1.56692 2.04509i 0.0933089 0.121783i
\(283\) −14.2001 24.5953i −0.844109 1.46204i −0.886393 0.462934i \(-0.846797\pi\)
0.0422840 0.999106i \(-0.486537\pi\)
\(284\) 9.57815 0.568358
\(285\) 5.93876 + 4.66167i 0.351782 + 0.276134i
\(286\) −16.2852 −0.962963
\(287\) −3.98126 6.89574i −0.235006 0.407043i
\(288\) −2.89889 0.772294i −0.170819 0.0455079i
\(289\) 13.3139 23.0603i 0.783170 1.35649i
\(290\) 0.469946 0.271323i 0.0275962 0.0159327i
\(291\) 17.8817 + 2.34111i 1.04825 + 0.137238i
\(292\) 7.03043 0.411425
\(293\) 14.9955 0.876047 0.438024 0.898963i \(-0.355679\pi\)
0.438024 + 0.898963i \(0.355679\pi\)
\(294\) −0.890353 + 6.80064i −0.0519264 + 0.396621i
\(295\) −5.59241 3.22878i −0.325603 0.187987i
\(296\) 0.251265i 0.0146045i
\(297\) 21.5451 + 8.86995i 1.25017 + 0.514686i
\(298\) 17.1301 + 9.89007i 0.992320 + 0.572916i
\(299\) 3.54850 + 6.14619i 0.205215 + 0.355443i
\(300\) −0.224845 + 1.71739i −0.0129814 + 0.0991538i
\(301\) 3.72679 + 6.45499i 0.214809 + 0.372060i
\(302\) 18.6361 10.7595i 1.07239 0.619142i
\(303\) 7.62640 + 18.3744i 0.438125 + 1.05558i
\(304\) 0.0510884 4.35860i 0.00293012 0.249983i
\(305\) 2.08430i 0.119347i
\(306\) 5.10111 19.1476i 0.291611 1.09459i
\(307\) 17.6339 10.1810i 1.00642 0.581058i 0.0962802 0.995354i \(-0.469306\pi\)
0.910142 + 0.414296i \(0.135972\pi\)
\(308\) −6.77084 3.90915i −0.385805 0.222744i
\(309\) 18.6041 24.2815i 1.05835 1.38132i
\(310\) 4.33478 7.50806i 0.246199 0.426429i
\(311\) 12.1717i 0.690194i −0.938567 0.345097i \(-0.887846\pi\)
0.938567 0.345097i \(-0.112154\pi\)
\(312\) 2.41146 + 5.80997i 0.136522 + 0.328925i
\(313\) −6.57209 + 11.3832i −0.371476 + 0.643416i −0.989793 0.142513i \(-0.954482\pi\)
0.618317 + 0.785929i \(0.287815\pi\)
\(314\) 6.77384 11.7326i 0.382270 0.662110i
\(315\) −3.70404 3.69342i −0.208699 0.208101i
\(316\) 5.82909i 0.327912i
\(317\) 3.43470 5.94907i 0.192912 0.334133i −0.753302 0.657675i \(-0.771540\pi\)
0.946214 + 0.323542i \(0.104874\pi\)
\(318\) 0.178582 + 0.136827i 0.0100144 + 0.00767288i
\(319\) 2.10724 + 1.21661i 0.117983 + 0.0681173i
\(320\) 0.866025 0.500000i 0.0484123 0.0279508i
\(321\) −27.7150 21.2349i −1.54690 1.18522i
\(322\) 3.40718i 0.189875i
\(323\) 28.7891 + 0.337446i 1.60187 + 0.0187760i
\(324\) −0.0258539 8.99996i −0.00143633 0.499998i
\(325\) 3.14527 1.81592i 0.174468 0.100729i
\(326\) −3.95150 6.84420i −0.218854 0.379065i
\(327\) −10.7444 1.40668i −0.594168 0.0777896i
\(328\) 2.28336 + 3.95489i 0.126077 + 0.218372i
\(329\) −2.24607 1.29677i −0.123830 0.0714933i
\(330\) −7.17318 + 2.97727i −0.394871 + 0.163893i
\(331\) 7.78853i 0.428096i −0.976823 0.214048i \(-0.931335\pi\)
0.976823 0.214048i \(-0.0686649\pi\)
\(332\) 8.88246 + 5.12829i 0.487488 + 0.281451i
\(333\) 0.727830 0.196142i 0.0398848 0.0107485i
\(334\) 8.17243 0.447175
\(335\) −8.55266 −0.467282
\(336\) −0.392039 + 2.99445i −0.0213875 + 0.163361i
\(337\) 23.2844 13.4433i 1.26838 0.732301i 0.293700 0.955898i \(-0.405113\pi\)
0.974682 + 0.223597i \(0.0717799\pi\)
\(338\) 0.0951480 0.164801i 0.00517537 0.00896401i
\(339\) 8.73756 + 6.69460i 0.474559 + 0.363601i
\(340\) 3.30257 + 5.72021i 0.179107 + 0.310222i
\(341\) 38.8743 2.10516
\(342\) 12.6653 3.25442i 0.684859 0.175979i
\(343\) 19.1096 1.03182
\(344\) −2.13741 3.70210i −0.115241 0.199604i
\(345\) 2.68667 + 2.05849i 0.144645 + 0.110825i
\(346\) 8.82834 15.2911i 0.474615 0.822057i
\(347\) −24.5180 + 14.1555i −1.31620 + 0.759906i −0.983114 0.182992i \(-0.941422\pi\)
−0.333081 + 0.942898i \(0.608088\pi\)
\(348\) 0.122011 0.931939i 0.00654049 0.0499572i
\(349\) 4.70839 0.252034 0.126017 0.992028i \(-0.459781\pi\)
0.126017 + 0.992028i \(0.459781\pi\)
\(350\) 1.74360 0.0931994
\(351\) −14.9471 + 11.5205i −0.797816 + 0.614921i
\(352\) 3.88325 + 2.24200i 0.206978 + 0.119499i
\(353\) 16.8453i 0.896587i 0.893886 + 0.448293i \(0.147968\pi\)
−0.893886 + 0.448293i \(0.852032\pi\)
\(354\) −10.3303 + 4.28766i −0.549052 + 0.227887i
\(355\) −8.29492 4.78907i −0.440249 0.254178i
\(356\) −2.10618 3.64801i −0.111627 0.193344i
\(357\) −19.7787 2.58947i −1.04680 0.137049i
\(358\) 9.98617 + 17.2966i 0.527786 + 0.914152i
\(359\) −27.5785 + 15.9225i −1.45554 + 0.840356i −0.998787 0.0492381i \(-0.984321\pi\)
−0.456752 + 0.889594i \(0.650987\pi\)
\(360\) 2.12437 + 2.11827i 0.111964 + 0.111643i
\(361\) 9.11171 + 16.6726i 0.479564 + 0.877507i
\(362\) 3.31549i 0.174258i
\(363\) −12.5200 9.59267i −0.657130 0.503484i
\(364\) 5.48409 3.16624i 0.287445 0.165956i
\(365\) −6.08853 3.51522i −0.318688 0.183995i
\(366\) −2.86567 2.19564i −0.149791 0.114768i
\(367\) −15.1447 + 26.2313i −0.790545 + 1.36926i 0.135085 + 0.990834i \(0.456869\pi\)
−0.925630 + 0.378430i \(0.876464\pi\)
\(368\) 1.95411i 0.101865i
\(369\) −9.67353 + 9.70136i −0.503584 + 0.505033i
\(370\) −0.125633 + 0.217602i −0.00653133 + 0.0113126i
\(371\) 0.113237 0.196132i 0.00587897 0.0101827i
\(372\) −5.75639 13.8690i −0.298455 0.719072i
\(373\) 37.2564i 1.92906i 0.263966 + 0.964532i \(0.414969\pi\)
−0.263966 + 0.964532i \(0.585031\pi\)
\(374\) −14.8087 + 25.6494i −0.765740 + 1.32630i
\(375\) 1.05342 1.37489i 0.0543983 0.0709988i
\(376\) 1.28818 + 0.743732i 0.0664329 + 0.0383550i
\(377\) −1.70677 + 0.985405i −0.0879032 + 0.0507509i
\(378\) −8.97994 + 1.20192i −0.461878 + 0.0618200i
\(379\) 33.6356i 1.72775i −0.503709 0.863873i \(-0.668032\pi\)
0.503709 0.863873i \(-0.331968\pi\)
\(380\) −2.22354 + 3.74911i −0.114065 + 0.192325i
\(381\) 7.94947 + 19.1528i 0.407264 + 0.981228i
\(382\) −7.96429 + 4.59818i −0.407488 + 0.235264i
\(383\) −4.65017 8.05432i −0.237612 0.411557i 0.722416 0.691458i \(-0.243031\pi\)
−0.960029 + 0.279902i \(0.909698\pi\)
\(384\) 0.224845 1.71739i 0.0114741 0.0876404i
\(385\) 3.90915 + 6.77084i 0.199229 + 0.345074i
\(386\) −11.3952 6.57904i −0.580002 0.334865i
\(387\) 9.05523 9.08128i 0.460303 0.461628i
\(388\) 10.4121i 0.528596i
\(389\) 7.08705 + 4.09171i 0.359328 + 0.207458i 0.668786 0.743455i \(-0.266814\pi\)
−0.309458 + 0.950913i \(0.600148\pi\)
\(390\) 0.816601 6.23731i 0.0413502 0.315839i
\(391\) 12.9071 0.652741
\(392\) −3.95986 −0.200003
\(393\) −15.7195 2.05802i −0.792943 0.103814i
\(394\) −23.7890 + 13.7346i −1.19847 + 0.691938i
\(395\) −2.91454 + 5.04814i −0.146647 + 0.253999i
\(396\) −3.46296 + 12.9986i −0.174021 + 0.653205i
\(397\) 2.72560 + 4.72088i 0.136794 + 0.236934i 0.926281 0.376833i \(-0.122987\pi\)
−0.789487 + 0.613767i \(0.789653\pi\)
\(398\) 9.02384 0.452324
\(399\) −4.90349 12.2165i −0.245482 0.611592i
\(400\) −1.00000 −0.0500000
\(401\) −14.4054 24.9508i −0.719369 1.24598i −0.961250 0.275678i \(-0.911098\pi\)
0.241881 0.970306i \(-0.422236\pi\)
\(402\) −9.00953 + 11.7589i −0.449355 + 0.586482i
\(403\) −15.7433 + 27.2681i −0.784228 + 1.35832i
\(404\) −9.94712 + 5.74297i −0.494888 + 0.285724i
\(405\) −4.47759 + 7.80712i −0.222493 + 0.387939i
\(406\) −0.946159 −0.0469571
\(407\) −1.12667 −0.0558471
\(408\) 11.3436 + 1.48513i 0.561593 + 0.0735249i
\(409\) 25.3296 + 14.6240i 1.25247 + 0.723113i 0.971599 0.236633i \(-0.0760440\pi\)
0.280869 + 0.959746i \(0.409377\pi\)
\(410\) 4.56671i 0.225534i
\(411\) −10.1923 24.5565i −0.502749 1.21128i
\(412\) 15.2946 + 8.83036i 0.753512 + 0.435040i
\(413\) 5.62970 + 9.75092i 0.277019 + 0.479812i
\(414\) 5.66038 1.52541i 0.278192 0.0749698i
\(415\) −5.12829 8.88246i −0.251738 0.436023i
\(416\) −3.14527 + 1.81592i −0.154210 + 0.0890329i
\(417\) −25.3365 + 10.5161i −1.24074 + 0.514974i
\(418\) −19.5439 0.229080i −0.955926 0.0112047i
\(419\) 1.11183i 0.0543167i −0.999631 0.0271583i \(-0.991354\pi\)
0.999631 0.0271583i \(-0.00864583\pi\)
\(420\) 1.83674 2.39725i 0.0896238 0.116974i
\(421\) 17.1508 9.90200i 0.835877 0.482594i −0.0199835 0.999800i \(-0.506361\pi\)
0.855861 + 0.517206i \(0.173028\pi\)
\(422\) 18.1457 + 10.4764i 0.883318 + 0.509984i
\(423\) −1.14876 + 4.31199i −0.0558546 + 0.209656i
\(424\) −0.0649443 + 0.112487i −0.00315398 + 0.00546285i
\(425\) 6.60513i 0.320396i
\(426\) −15.3224 + 6.35966i −0.742375 + 0.308127i
\(427\) −1.81709 + 3.14729i −0.0879352 + 0.152308i
\(428\) 10.0790 17.4574i 0.487189 0.843835i
\(429\) 26.0519 10.8130i 1.25780 0.522055i
\(430\) 4.27482i 0.206150i
\(431\) −3.16146 + 5.47581i −0.152282 + 0.263760i −0.932066 0.362288i \(-0.881996\pi\)
0.779784 + 0.626049i \(0.215329\pi\)
\(432\) 5.15023 0.689332i 0.247790 0.0331655i
\(433\) −24.2858 14.0214i −1.16710 0.673827i −0.214107 0.976810i \(-0.568684\pi\)
−0.952996 + 0.302983i \(0.902017\pi\)
\(434\) −13.0911 + 7.55813i −0.628391 + 0.362802i
\(435\) −0.571634 + 0.746077i −0.0274078 + 0.0357717i
\(436\) 6.25623i 0.299619i
\(437\) 4.17212 + 7.42600i 0.199580 + 0.355234i
\(438\) −11.2468 + 4.66804i −0.537393 + 0.223048i
\(439\) −8.39710 + 4.84807i −0.400772 + 0.231386i −0.686817 0.726830i \(-0.740993\pi\)
0.286045 + 0.958216i \(0.407659\pi\)
\(440\) −2.24200 3.88325i −0.106883 0.185127i
\(441\) −3.09114 11.4704i −0.147197 0.546208i
\(442\) −11.9944 20.7749i −0.570516 0.988163i
\(443\) −8.85438 5.11208i −0.420684 0.242882i 0.274686 0.961534i \(-0.411426\pi\)
−0.695370 + 0.718652i \(0.744760\pi\)
\(444\) 0.166834 + 0.401957i 0.00791760 + 0.0190760i
\(445\) 4.21236i 0.199685i
\(446\) 11.2359 + 6.48704i 0.532034 + 0.307170i
\(447\) −33.9703 4.44746i −1.60674 0.210358i
\(448\) −1.74360 −0.0823774
\(449\) 6.66710 0.314640 0.157320 0.987548i \(-0.449715\pi\)
0.157320 + 0.987548i \(0.449715\pi\)
\(450\) −0.780619 2.89666i −0.0367987 0.136550i
\(451\) 17.7337 10.2386i 0.835048 0.482115i
\(452\) −3.17756 + 5.50370i −0.149460 + 0.258872i
\(453\) −22.6686 + 29.5863i −1.06506 + 1.39008i
\(454\) −10.6129 18.3820i −0.498086 0.862711i
\(455\) −6.33249 −0.296872
\(456\) 2.81228 + 7.00650i 0.131697 + 0.328110i
\(457\) −12.8650 −0.601800 −0.300900 0.953656i \(-0.597287\pi\)
−0.300900 + 0.953656i \(0.597287\pi\)
\(458\) −4.84581 8.39319i −0.226430 0.392188i
\(459\) 4.55313 + 34.0179i 0.212522 + 1.58782i
\(460\) −0.977053 + 1.69230i −0.0455553 + 0.0789041i
\(461\) 4.75855 2.74735i 0.221628 0.127957i −0.385076 0.922885i \(-0.625825\pi\)
0.606704 + 0.794928i \(0.292491\pi\)
\(462\) 13.4271 + 1.75790i 0.624685 + 0.0817850i
\(463\) 9.12169 0.423921 0.211960 0.977278i \(-0.432015\pi\)
0.211960 + 0.977278i \(0.432015\pi\)
\(464\) 0.542647 0.0251917
\(465\) −1.94931 + 14.8891i −0.0903969 + 0.690464i
\(466\) 14.0033 + 8.08481i 0.648691 + 0.374522i
\(467\) 31.0365i 1.43620i −0.695940 0.718100i \(-0.745012\pi\)
0.695940 0.718100i \(-0.254988\pi\)
\(468\) −7.71536 7.69323i −0.356643 0.355620i
\(469\) 12.9145 + 7.45621i 0.596338 + 0.344296i
\(470\) −0.743732 1.28818i −0.0343058 0.0594194i
\(471\) −3.04612 + 23.2667i −0.140358 + 1.07207i
\(472\) −3.22878 5.59241i −0.148617 0.257411i
\(473\) −16.6002 + 9.58414i −0.763279 + 0.440679i
\(474\) 3.87037 + 9.32496i 0.177772 + 0.428310i
\(475\) 3.80020 2.13506i 0.174365 0.0979631i
\(476\) 11.5167i 0.527868i
\(477\) −0.376533 0.100312i −0.0172403 0.00459298i
\(478\) −18.4717 + 10.6646i −0.844876 + 0.487789i
\(479\) −5.77360 3.33339i −0.263802 0.152306i 0.362265 0.932075i \(-0.382003\pi\)
−0.626068 + 0.779769i \(0.715337\pi\)
\(480\) −1.05342 + 1.37489i −0.0480818 + 0.0627546i
\(481\) 0.456278 0.790297i 0.0208045 0.0360345i
\(482\) 4.19331i 0.191000i
\(483\) −2.26229 5.45057i −0.102938 0.248009i
\(484\) 4.55311 7.88622i 0.206960 0.358465i
\(485\) 5.20607 9.01717i 0.236395 0.409449i
\(486\) 6.01712 + 14.3803i 0.272942 + 0.652306i
\(487\) 21.6443i 0.980797i 0.871498 + 0.490399i \(0.163149\pi\)
−0.871498 + 0.490399i \(0.836851\pi\)
\(488\) 1.04215 1.80505i 0.0471759 0.0817110i
\(489\) 10.8657 + 8.32517i 0.491365 + 0.376477i
\(490\) 3.42934 + 1.97993i 0.154922 + 0.0894441i
\(491\) 2.23804 1.29214i 0.101002 0.0583132i −0.448648 0.893708i \(-0.648094\pi\)
0.549650 + 0.835395i \(0.314761\pi\)
\(492\) −6.27870 4.81066i −0.283066 0.216881i
\(493\) 3.58426i 0.161427i
\(494\) 8.07557 13.6162i 0.363337 0.612622i
\(495\) 9.49832 9.52565i 0.426918 0.428146i
\(496\) 7.50806 4.33478i 0.337122 0.194638i
\(497\) 8.35023 + 14.4630i 0.374559 + 0.648755i
\(498\) −17.6146 2.30614i −0.789329 0.103340i
\(499\) −9.18058 15.9012i −0.410979 0.711837i 0.584018 0.811741i \(-0.301480\pi\)
−0.994997 + 0.0999040i \(0.968146\pi\)
\(500\) 0.866025 + 0.500000i 0.0387298 + 0.0223607i
\(501\) −13.0737 + 5.42630i −0.584089 + 0.242429i
\(502\) 24.0870i 1.07506i
\(503\) −26.6006 15.3579i −1.18606 0.684774i −0.228654 0.973508i \(-0.573432\pi\)
−0.957409 + 0.288734i \(0.906766\pi\)
\(504\) −1.36109 5.05062i −0.0606276 0.224972i
\(505\) 11.4859 0.511118
\(506\) −8.76220 −0.389527
\(507\) −0.0427871 + 0.326814i −0.00190024 + 0.0145143i
\(508\) −10.3685 + 5.98626i −0.460028 + 0.265597i
\(509\) 1.76397 3.05529i 0.0781868 0.135424i −0.824281 0.566181i \(-0.808420\pi\)
0.902468 + 0.430758i \(0.141754\pi\)
\(510\) −9.08130 6.95797i −0.402127 0.308104i
\(511\) 6.12913 + 10.6160i 0.271137 + 0.469623i
\(512\) 1.00000 0.0441942
\(513\) −18.1001 + 13.6156i −0.799141 + 0.601144i
\(514\) 11.1616 0.492319
\(515\) −8.83036 15.2946i −0.389112 0.673962i
\(516\) 5.87739 + 4.50318i 0.258738 + 0.198241i
\(517\) 3.33489 5.77620i 0.146668 0.254037i
\(518\) 0.379411 0.219053i 0.0166704 0.00962465i
\(519\) −3.97001 + 30.3235i −0.174264 + 1.33105i
\(520\) 3.63184 0.159267
\(521\) 10.7293 0.470059 0.235030 0.971988i \(-0.424481\pi\)
0.235030 + 0.971988i \(0.424481\pi\)
\(522\) 0.423600 + 1.57186i 0.0185405 + 0.0687986i
\(523\) 16.2359 + 9.37381i 0.709947 + 0.409888i 0.811042 0.584989i \(-0.198901\pi\)
−0.101094 + 0.994877i \(0.532234\pi\)
\(524\) 9.15309i 0.399855i
\(525\) −2.78929 + 1.15771i −0.121735 + 0.0505266i
\(526\) −12.8454 7.41629i −0.560086 0.323366i
\(527\) 28.6318 + 49.5918i 1.24722 + 2.16025i
\(528\) −7.70079 1.00820i −0.335134 0.0438764i
\(529\) −9.59074 16.6116i −0.416989 0.722245i
\(530\) 0.112487 0.0649443i 0.00488612 0.00282100i
\(531\) 13.6789 13.7182i 0.593612 0.595319i
\(532\) 6.62603 3.72268i 0.287275 0.161399i
\(533\) 16.5856i 0.718402i
\(534\) 5.79152 + 4.43738i 0.250623 + 0.192024i
\(535\) −17.4574 + 10.0790i −0.754749 + 0.435755i
\(536\) −7.40682 4.27633i −0.319926 0.184709i
\(537\) −27.4597 21.0392i −1.18497 0.907910i
\(538\) −3.20285 + 5.54749i −0.138084 + 0.239169i
\(539\) 17.7560i 0.764805i
\(540\) −4.80489 1.97813i −0.206770 0.0851253i
\(541\) 18.9536 32.8286i 0.814878 1.41141i −0.0945373 0.995521i \(-0.530137\pi\)
0.909415 0.415889i \(-0.136529\pi\)
\(542\) 8.80426 15.2494i 0.378175 0.655019i
\(543\) 2.20141 + 5.30389i 0.0944714 + 0.227612i
\(544\) 6.60513i 0.283193i
\(545\) −3.12812 + 5.41805i −0.133994 + 0.232084i
\(546\) −6.67076 + 8.70644i −0.285482 + 0.372601i
\(547\) 14.2392 + 8.22099i 0.608823 + 0.351504i 0.772505 0.635009i \(-0.219004\pi\)
−0.163682 + 0.986513i \(0.552337\pi\)
\(548\) 13.2938 7.67520i 0.567885 0.327868i
\(549\) 6.04215 + 1.60969i 0.257873 + 0.0686999i
\(550\) 4.48400i 0.191198i
\(551\) −2.06217 + 1.15858i −0.0878513 + 0.0493572i
\(552\) 1.29748 + 3.12604i 0.0552244 + 0.133053i
\(553\) 8.80193 5.08180i 0.374296 0.216100i
\(554\) 13.7621 + 23.8367i 0.584697 + 1.01273i
\(555\) 0.0564957 0.431522i 0.00239811 0.0183171i
\(556\) −7.91901 13.7161i −0.335841 0.581693i
\(557\) −10.7408 6.20119i −0.455101 0.262753i 0.254881 0.966972i \(-0.417964\pi\)
−0.709982 + 0.704220i \(0.751297\pi\)
\(558\) 18.4173 + 18.3645i 0.779667 + 0.777431i
\(559\) 15.5255i 0.656658i
\(560\) 1.51000 + 0.871800i 0.0638092 + 0.0368403i
\(561\) 6.65931 50.8648i 0.281156 2.14751i
\(562\) −4.50894 −0.190198
\(563\) 10.1274 0.426819 0.213410 0.976963i \(-0.431543\pi\)
0.213410 + 0.976963i \(0.431543\pi\)
\(564\) −2.55456 0.334448i −0.107566 0.0140828i
\(565\) 5.50370 3.17756i 0.231542 0.133681i
\(566\) −14.2001 + 24.5953i −0.596875 + 1.03382i
\(567\) 13.5674 7.88521i 0.569778 0.331148i
\(568\) −4.78907 8.29492i −0.200945 0.348047i
\(569\) −19.0157 −0.797180 −0.398590 0.917129i \(-0.630500\pi\)
−0.398590 + 0.917129i \(0.630500\pi\)
\(570\) 1.06775 7.47395i 0.0447230 0.313049i
\(571\) 0.0688168 0.00287989 0.00143995 0.999999i \(-0.499542\pi\)
0.00143995 + 0.999999i \(0.499542\pi\)
\(572\) 8.14259 + 14.1034i 0.340459 + 0.589692i
\(573\) 9.68763 12.6440i 0.404706 0.528209i
\(574\) −3.98126 + 6.89574i −0.166175 + 0.287823i
\(575\) 1.69230 0.977053i 0.0705740 0.0407459i
\(576\) 0.780619 + 2.89666i 0.0325258 + 0.120694i
\(577\) 20.4867 0.852872 0.426436 0.904518i \(-0.359769\pi\)
0.426436 + 0.904518i \(0.359769\pi\)
\(578\) −26.6278 −1.10757
\(579\) 22.5976 + 2.95853i 0.939126 + 0.122952i
\(580\) −0.469946 0.271323i −0.0195134 0.0112661i
\(581\) 17.8834i 0.741927i
\(582\) −6.91341 16.6566i −0.286570 0.690438i
\(583\) 0.504391 + 0.291210i 0.0208897 + 0.0120607i
\(584\) −3.51522 6.08853i −0.145461 0.251945i
\(585\) 2.83509 + 10.5202i 0.117216 + 0.434957i
\(586\) −7.49776 12.9865i −0.309730 0.536467i
\(587\) −18.2857 + 10.5573i −0.754733 + 0.435745i −0.827401 0.561611i \(-0.810182\pi\)
0.0726687 + 0.997356i \(0.476848\pi\)
\(588\) 6.33470 2.62925i 0.261239 0.108428i
\(589\) −19.2772 + 32.5032i −0.794302 + 1.33927i
\(590\) 6.45756i 0.265853i
\(591\) 28.9365 37.7670i 1.19029 1.55352i
\(592\) −0.217602 + 0.125633i −0.00894340 + 0.00516347i
\(593\) 5.51015 + 3.18129i 0.226275 + 0.130640i 0.608852 0.793284i \(-0.291630\pi\)
−0.382578 + 0.923923i \(0.624964\pi\)
\(594\) −3.09096 23.0936i −0.126824 0.947542i
\(595\) −5.75836 + 9.97377i −0.236070 + 0.408885i
\(596\) 19.7801i 0.810226i
\(597\) −14.4357 + 5.99161i −0.590814 + 0.245220i
\(598\) 3.54850 6.14619i 0.145109 0.251336i
\(599\) −21.4869 + 37.2163i −0.877929 + 1.52062i −0.0243194 + 0.999704i \(0.507742\pi\)
−0.853610 + 0.520913i \(0.825591\pi\)
\(600\) 1.59973 0.663976i 0.0653087 0.0271067i
\(601\) 15.3531i 0.626264i −0.949710 0.313132i \(-0.898622\pi\)
0.949710 0.313132i \(-0.101378\pi\)
\(602\) 3.72679 6.45499i 0.151893 0.263086i
\(603\) 6.60517 24.7932i 0.268983 1.00966i
\(604\) −18.6361 10.7595i −0.758291 0.437800i
\(605\) −7.88622 + 4.55311i −0.320621 + 0.185110i
\(606\) 12.0995 15.7919i 0.491509 0.641501i
\(607\) 8.61899i 0.349834i 0.984583 + 0.174917i \(0.0559657\pi\)
−0.984583 + 0.174917i \(0.944034\pi\)
\(608\) −3.80020 + 2.13506i −0.154119 + 0.0865879i
\(609\) 1.51360 0.628227i 0.0613341 0.0254571i
\(610\) −1.80505 + 1.04215i −0.0730845 + 0.0421954i
\(611\) 2.70112 + 4.67848i 0.109276 + 0.189271i
\(612\) −19.1328 + 5.15609i −0.773399 + 0.208423i
\(613\) −15.0671 26.0970i −0.608555 1.05405i −0.991479 0.130268i \(-0.958416\pi\)
0.382924 0.923780i \(-0.374917\pi\)
\(614\) −17.6339 10.1810i −0.711648 0.410870i
\(615\) 3.03219 + 7.30551i 0.122270 + 0.294586i
\(616\) 7.81830i 0.315008i
\(617\) 23.8215 + 13.7533i 0.959017 + 0.553688i 0.895870 0.444316i \(-0.146553\pi\)
0.0631463 + 0.998004i \(0.479887\pi\)
\(618\) −30.3304 3.97092i −1.22007 0.159734i
\(619\) 16.8953 0.679078 0.339539 0.940592i \(-0.389729\pi\)
0.339539 + 0.940592i \(0.389729\pi\)
\(620\) −8.66957 −0.348178
\(621\) −8.04224 + 6.19860i −0.322724 + 0.248741i
\(622\) −10.5410 + 6.08585i −0.422656 + 0.244020i
\(623\) 3.67234 6.36068i 0.147129 0.254835i
\(624\) 3.82585 4.99337i 0.153157 0.199895i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 13.1442 0.525347
\(627\) 31.4171 12.6102i 1.25468 0.503605i
\(628\) −13.5477 −0.540611
\(629\) −0.829821 1.43729i −0.0330871 0.0573086i
\(630\) −1.34657 + 5.05451i −0.0536487 + 0.201376i
\(631\) 19.8257 34.3391i 0.789247 1.36702i −0.137182 0.990546i \(-0.543804\pi\)
0.926429 0.376470i \(-0.122862\pi\)
\(632\) −5.04814 + 2.91454i −0.200804 + 0.115934i
\(633\) −35.9843 4.71113i −1.43025 0.187251i
\(634\) −6.86939 −0.272818
\(635\) 11.9725 0.475115
\(636\) 0.0292048 0.223070i 0.00115804 0.00884531i
\(637\) −12.4548 7.19079i −0.493478 0.284910i
\(638\) 2.43323i 0.0963324i
\(639\) 20.2891 20.3475i 0.802625 0.804934i
\(640\) −0.866025 0.500000i −0.0342327 0.0197642i
\(641\) 14.2303 + 24.6475i 0.562062 + 0.973520i 0.997316 + 0.0732121i \(0.0233250\pi\)
−0.435255 + 0.900307i \(0.643342\pi\)
\(642\) −4.53244 + 34.6194i −0.178881 + 1.36632i
\(643\) −1.54529 2.67653i −0.0609405 0.105552i 0.833946 0.551847i \(-0.186077\pi\)
−0.894886 + 0.446295i \(0.852743\pi\)
\(644\) 2.95070 1.70359i 0.116274 0.0671308i
\(645\) −2.83838 6.83856i −0.111761 0.269268i
\(646\) −14.1023 25.1008i −0.554849 0.987580i
\(647\) 7.89351i 0.310326i −0.987889 0.155163i \(-0.950410\pi\)
0.987889 0.155163i \(-0.0495903\pi\)
\(648\) −7.78127 + 4.52237i −0.305677 + 0.177656i
\(649\) −25.0763 + 14.4778i −0.984332 + 0.568305i
\(650\) −3.14527 1.81592i −0.123368 0.0712263i
\(651\) 15.9237 20.7831i 0.624101 0.814555i
\(652\) −3.95150 + 6.84420i −0.154753 + 0.268040i
\(653\) 18.1037i 0.708453i −0.935160 0.354227i \(-0.884744\pi\)
0.935160 0.354227i \(-0.115256\pi\)
\(654\) 4.15399 + 10.0083i 0.162434 + 0.391355i
\(655\) −4.57655 + 7.92681i −0.178820 + 0.309726i
\(656\) 2.28336 3.95489i 0.0891501 0.154412i
\(657\) 14.8924 14.9352i 0.581006 0.582678i
\(658\) 2.59354i 0.101107i
\(659\) 8.56885 14.8417i 0.333795 0.578150i −0.649457 0.760398i \(-0.725004\pi\)
0.983253 + 0.182248i \(0.0583373\pi\)
\(660\) 6.16498 + 4.72353i 0.239972 + 0.183863i
\(661\) −31.8623 18.3957i −1.23930 0.715510i −0.270348 0.962763i \(-0.587139\pi\)
−0.968951 + 0.247253i \(0.920472\pi\)
\(662\) −6.74506 + 3.89426i −0.262154 + 0.151355i
\(663\) 32.9819 + 25.2703i 1.28091 + 0.981416i
\(664\) 10.2566i 0.398032i
\(665\) −7.59966 0.0890778i −0.294702 0.00345429i
\(666\) −0.533779 0.532248i −0.0206835 0.0206242i
\(667\) −0.918324 + 0.530195i −0.0355576 + 0.0205292i
\(668\) −4.08621 7.07753i −0.158100 0.273838i
\(669\) −22.2816 2.91715i −0.861457 0.112784i
\(670\) 4.27633 + 7.40682i 0.165209 + 0.286151i
\(671\) −8.09386 4.67299i −0.312460 0.180399i
\(672\) 2.78929 1.15771i 0.107599 0.0446596i
\(673\) 19.1641i 0.738723i 0.929286 + 0.369361i \(0.120424\pi\)
−0.929286 + 0.369361i \(0.879576\pi\)
\(674\) −23.2844 13.4433i −0.896881 0.517815i
\(675\) 3.17209 + 4.11556i 0.122094 + 0.158408i
\(676\) −0.190296 −0.00731908
\(677\) 45.3076 1.74131 0.870656 0.491892i \(-0.163694\pi\)
0.870656 + 0.491892i \(0.163694\pi\)
\(678\) 1.42892 10.9143i 0.0548772 0.419159i
\(679\) −15.7223 + 9.07730i −0.603368 + 0.348355i
\(680\) 3.30257 5.72021i 0.126648 0.219360i
\(681\) 29.1829 + 22.3596i 1.11829 + 0.856821i
\(682\) −19.4372 33.6661i −0.744287 1.28914i
\(683\) 38.3931 1.46907 0.734535 0.678571i \(-0.237400\pi\)
0.734535 + 0.678571i \(0.237400\pi\)
\(684\) −9.15104 9.34123i −0.349899 0.357171i
\(685\) −15.3504 −0.586509
\(686\) −9.55481 16.5494i −0.364804 0.631859i
\(687\) 13.3249 + 10.2093i 0.508376 + 0.389511i
\(688\) −2.13741 + 3.70210i −0.0814880 + 0.141141i
\(689\) −0.408535 + 0.235868i −0.0155639 + 0.00898585i
\(690\) 0.439370 3.35597i 0.0167265 0.127760i
\(691\) 25.7083 0.977988 0.488994 0.872287i \(-0.337364\pi\)
0.488994 + 0.872287i \(0.337364\pi\)
\(692\) −17.6567 −0.671206
\(693\) −22.6469 + 6.10311i −0.860286 + 0.231838i
\(694\) 24.5180 + 14.1555i 0.930691 + 0.537335i
\(695\) 15.8380i 0.600770i
\(696\) −0.868088 + 0.360305i −0.0329048 + 0.0136573i
\(697\) 26.1226 + 15.0819i 0.989463 + 0.571267i
\(698\) −2.35419 4.07758i −0.0891075 0.154339i
\(699\) −27.7696 3.63566i −1.05034 0.137513i
\(700\) −0.871800 1.51000i −0.0329510 0.0570727i
\(701\) −35.5687 + 20.5356i −1.34341 + 0.775619i −0.987307 0.158826i \(-0.949229\pi\)
−0.356106 + 0.934446i \(0.615896\pi\)
\(702\) 17.4506 + 7.18428i 0.658631 + 0.271153i
\(703\) 0.558700 0.942022i 0.0210718 0.0355290i
\(704\) 4.48400i 0.168997i
\(705\) 2.04509 + 1.56692i 0.0770226 + 0.0590137i
\(706\) 14.5885 8.42267i 0.549045 0.316991i
\(707\) −17.3438 10.0135i −0.652281 0.376595i
\(708\) 8.87840 + 6.80251i 0.333671 + 0.255654i
\(709\) −4.57770 + 7.92881i −0.171919 + 0.297773i −0.939091 0.343669i \(-0.888330\pi\)
0.767172 + 0.641442i \(0.221663\pi\)
\(710\) 9.57815i 0.359461i
\(711\) −12.3831 12.3476i −0.464403 0.463071i
\(712\) −2.10618 + 3.64801i −0.0789325 + 0.136715i
\(713\) −8.47062 + 14.6715i −0.317227 + 0.549454i
\(714\) 7.64682 + 18.4236i 0.286175 + 0.689487i
\(715\) 16.2852i 0.609031i
\(716\) 9.98617 17.2966i 0.373201 0.646403i
\(717\) 22.4687 29.3253i 0.839107 1.09517i
\(718\) 27.5785 + 15.9225i 1.02922 + 0.594221i
\(719\) −40.8433 + 23.5809i −1.52320 + 0.879420i −0.523576 + 0.851979i \(0.675402\pi\)
−0.999623 + 0.0274407i \(0.991264\pi\)
\(720\) 0.772294 2.89889i 0.0287817 0.108035i
\(721\) 30.7932i 1.14680i
\(722\) 9.88307 16.2273i 0.367810 0.603917i
\(723\) 2.78426 + 6.70817i 0.103548 + 0.249479i
\(724\) −2.87130 + 1.65774i −0.106711 + 0.0616096i
\(725\) 0.271323 + 0.469946i 0.0100767 + 0.0174534i
\(726\) −2.04749 + 15.6390i −0.0759893 + 0.580417i
\(727\) 0.839710 + 1.45442i 0.0311431 + 0.0539414i 0.881177 0.472787i \(-0.156752\pi\)
−0.850034 + 0.526728i \(0.823419\pi\)
\(728\) −5.48409 3.16624i −0.203254 0.117349i
\(729\) −19.1740 19.0094i −0.710147 0.704053i
\(730\) 7.03043i 0.260208i
\(731\) −24.4529 14.1179i −0.904423 0.522169i
\(732\) −0.468643 + 3.57956i −0.0173216 + 0.132304i
\(733\) −50.5483 −1.86704 −0.933522 0.358519i \(-0.883282\pi\)
−0.933522 + 0.358519i \(0.883282\pi\)
\(734\) 30.2893 1.11800
\(735\) −6.80064 0.890353i −0.250845 0.0328412i
\(736\) −1.69230 + 0.977053i −0.0623792 + 0.0360146i
\(737\) −19.1751 + 33.2122i −0.706322 + 1.22339i
\(738\) 13.2384 + 3.52684i 0.487312 + 0.129825i
\(739\) 23.1698 + 40.1313i 0.852316 + 1.47626i 0.879113 + 0.476614i \(0.158136\pi\)
−0.0267963 + 0.999641i \(0.508531\pi\)
\(740\) 0.251265 0.00923670
\(741\) −3.87789 + 27.1442i −0.142458 + 0.997168i
\(742\) −0.226474 −0.00831412
\(743\) −8.82641 15.2878i −0.323810 0.560855i 0.657461 0.753488i \(-0.271630\pi\)
−0.981271 + 0.192634i \(0.938297\pi\)
\(744\) −9.13268 + 11.9197i −0.334820 + 0.436996i
\(745\) −9.89007 + 17.1301i −0.362344 + 0.627598i
\(746\) 32.2650 18.6282i 1.18131 0.682027i
\(747\) 29.7098 8.00647i 1.08703 0.292942i
\(748\) 29.6174 1.08292
\(749\) 35.1476 1.28427
\(750\) −1.71739 0.224845i −0.0627104 0.00821017i
\(751\) 21.4154 + 12.3642i 0.781459 + 0.451176i 0.836947 0.547284i \(-0.184338\pi\)
−0.0554880 + 0.998459i \(0.517671\pi\)
\(752\) 1.48746i 0.0542422i
\(753\) 15.9932 + 38.5327i 0.582825 + 1.40421i
\(754\) 1.70677 + 0.985405i 0.0621569 + 0.0358863i
\(755\) 10.7595 + 18.6361i 0.391580 + 0.678236i
\(756\) 5.53086 + 7.17589i 0.201155 + 0.260985i
\(757\) −11.0903 19.2089i −0.403084 0.698161i 0.591013 0.806662i \(-0.298728\pi\)
−0.994096 + 0.108501i \(0.965395\pi\)
\(758\) −29.1293 + 16.8178i −1.05802 + 0.610851i
\(759\) 14.0172 5.81789i 0.508790 0.211176i
\(760\) 4.35860 + 0.0510884i 0.158103 + 0.00185317i
\(761\) 1.21908i 0.0441915i −0.999756 0.0220957i \(-0.992966\pi\)
0.999756 0.0220957i \(-0.00703386\pi\)
\(762\) 12.6121 16.4608i 0.456887 0.596313i
\(763\) 9.44692 5.45418i 0.342002 0.197455i
\(764\) 7.96429 + 4.59818i 0.288138 + 0.166356i
\(765\) 19.1476 + 5.10111i 0.692281 + 0.184431i
\(766\) −4.65017 + 8.05432i −0.168017 + 0.291015i
\(767\) 23.4528i 0.846833i
\(768\) −1.59973 + 0.663976i −0.0577253 + 0.0239592i
\(769\) −3.96820 + 6.87313i −0.143097 + 0.247851i −0.928661 0.370929i \(-0.879039\pi\)
0.785564 + 0.618780i \(0.212373\pi\)
\(770\) 3.90915 6.77084i 0.140876 0.244004i
\(771\) −17.8556 + 7.41106i −0.643054 + 0.266903i
\(772\) 13.1581i 0.473570i
\(773\) 24.0038 41.5758i 0.863357 1.49538i −0.00531153 0.999986i \(-0.501691\pi\)
0.868669 0.495393i \(-0.164976\pi\)
\(774\) −12.3922 3.30142i −0.445430 0.118667i
\(775\) 7.50806 + 4.33478i 0.269698 + 0.155710i