Properties

Label 570.2.s.b.521.5
Level $570$
Weight $2$
Character 570.521
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 521.5
Character \(\chi\) \(=\) 570.521
Dual form 570.2.s.b.221.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 - 0.866025i) q^{2} +(-0.224845 + 1.71739i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-0.866025 - 0.500000i) q^{5} +(1.37489 + 1.05342i) q^{6} -1.74360 q^{7} -1.00000 q^{8} +(-2.89889 - 0.772294i) q^{9} +O(q^{10})\) \(q+(0.500000 - 0.866025i) q^{2} +(-0.224845 + 1.71739i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-0.866025 - 0.500000i) q^{5} +(1.37489 + 1.05342i) q^{6} -1.74360 q^{7} -1.00000 q^{8} +(-2.89889 - 0.772294i) 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} +(1.05342 - 1.37489i) 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} +(0.392039 - 2.99445i) q^{21} +(-3.88325 - 2.24200i) q^{22} +(-1.69230 + 0.977053i) q^{23} +(0.224845 - 1.71739i) 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} +(7.70079 + 1.00820i) q^{33} +(-5.72021 + 3.30257i) q^{34} +(1.51000 + 0.871800i) q^{35} +(0.780619 + 2.89666i) 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} +(-2.39725 - 1.83674i) 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} +(-1.37489 - 1.05342i) q^{48} -3.95986 q^{49} +1.00000 q^{50} +(6.95797 - 9.08130i) q^{51} +(-3.14527 - 1.81592i) q^{52} +(0.0649443 + 0.112487i) q^{53} +(-3.17209 - 4.11556i) q^{54} +(-2.24200 + 3.88325i) q^{55} +1.74360 q^{56} +(2.97573 + 6.93866i) q^{57} +0.542647 q^{58} +(3.22878 - 5.59241i) q^{59} +(-1.71739 - 0.224845i) q^{60} +(1.04215 + 1.80505i) q^{61} +(-7.50806 - 4.33478i) q^{62} +(5.05451 + 1.34657i) q^{63} +1.00000 q^{64} -3.63184 q^{65} +(4.72353 - 6.16498i) 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} +(2.89889 + 0.772294i) 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} +(6.23731 + 0.816601i) q^{78} +(-5.04814 - 2.91454i) q^{79} +(0.866025 - 0.500000i) q^{80} +(7.80712 + 4.47759i) 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} +(2.89666 - 0.780619i) q^{90} +(-5.48409 + 3.16624i) q^{91} +(1.69230 + 0.977053i) q^{92} +(14.8891 + 1.94931i) 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} +(-3.46296 + 12.9986i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q + 12q^{2} + 2q^{3} - 12q^{4} + 4q^{6} - 12q^{7} - 24q^{8} + 2q^{9} + O(q^{10}) \) \( 24q + 12q^{2} + 2q^{3} - 12q^{4} + 4q^{6} - 12q^{7} - 24q^{8} + 2q^{9} + 2q^{12} + 18q^{13} - 6q^{14} - 12q^{16} - 12q^{17} - 2q^{18} + 6q^{19} + 6q^{21} + 18q^{22} - 2q^{24} + 12q^{25} - 28q^{27} + 6q^{28} + 12q^{32} - 8q^{33} - 12q^{34} - 4q^{36} - 6q^{38} + 40q^{39} - 6q^{41} - 6q^{42} - 22q^{43} + 18q^{44} + 8q^{45} - 12q^{47} - 4q^{48} + 12q^{49} + 24q^{50} - 4q^{51} - 18q^{52} - 8q^{53} - 32q^{54} + 12q^{56} - 20q^{57} - 26q^{59} + 22q^{61} + 18q^{62} + 30q^{63} + 24q^{64} - 8q^{65} - 22q^{66} - 48q^{67} + 64q^{69} - 24q^{71} - 2q^{72} - 8q^{73} - 30q^{74} - 2q^{75} - 12q^{76} + 2q^{78} + 18q^{79} - 6q^{81} + 6q^{82} - 12q^{84} + 22q^{86} - 24q^{87} - 28q^{89} + 16q^{90} + 18q^{91} + 14q^{93} - 2q^{96} + 6q^{97} + 6q^{98} - 52q^{99} + O(q^{100}) \)

Character values

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

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

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
\(3\) −0.224845 + 1.71739i −0.129814 + 0.991538i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) −0.866025 0.500000i −0.387298 0.223607i
\(6\) 1.37489 + 1.05342i 0.561295 + 0.430056i
\(7\) −1.74360 −0.659019 −0.329510 0.944152i \(-0.606883\pi\)
−0.329510 + 0.944152i \(0.606883\pi\)
\(8\) −1.00000 −0.353553
\(9\) −2.89889 0.772294i −0.966297 0.257431i
\(10\) −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 0.00421545 0.999991i \(-0.498658\pi\)
0.868125 + 0.496345i \(0.165325\pi\)
\(14\) −0.871800 + 1.51000i −0.232998 + 0.403565i
\(15\) 1.05342 1.37489i 0.271992 0.354994i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −5.72021 3.30257i −1.38736 0.800990i −0.394339 0.918965i \(-0.629026\pi\)
−0.993017 + 0.117975i \(0.962360\pi\)
\(18\) −2.11827 + 2.12437i −0.499281 + 0.500718i
\(19\) 3.74911 2.22354i 0.860106 0.510116i
\(20\) 1.00000i 0.223607i
\(21\) 0.392039 2.99445i 0.0855500 0.653443i
\(22\) −3.88325 2.24200i −0.827913 0.477996i
\(23\) −1.69230 + 0.977053i −0.352870 + 0.203730i −0.665949 0.745998i \(-0.731973\pi\)
0.313079 + 0.949727i \(0.398640\pi\)
\(24\) 0.224845 1.71739i 0.0458962 0.350562i
\(25\) 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 \(-0.150622\pi\)
−0.839734 + 0.542998i \(0.817289\pi\)
\(30\) −0.663976 1.59973i −0.121225 0.292069i
\(31\) 8.66957i 1.55710i −0.627583 0.778550i \(-0.715956\pi\)
0.627583 0.778550i \(-0.284044\pi\)
\(32\) 0.500000 + 0.866025i 0.0883883 + 0.153093i
\(33\) 7.70079 + 1.00820i 1.34054 + 0.175506i
\(34\) −5.72021 + 3.30257i −0.981009 + 0.566386i
\(35\) 1.51000 + 0.871800i 0.255237 + 0.147361i
\(36\) 0.780619 + 2.89666i 0.130103 + 0.482777i
\(37\) 0.251265i 0.0413078i 0.999787 + 0.0206539i \(0.00657480\pi\)
−0.999787 + 0.0206539i \(0.993425\pi\)
\(38\) −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 \(-0.949398\pi\)
0.630790 + 0.775953i \(0.282731\pi\)
\(42\) −2.39725 1.83674i −0.369904 0.283415i
\(43\) −2.13741 + 3.70210i −0.325952 + 0.564566i −0.981705 0.190410i \(-0.939018\pi\)
0.655752 + 0.754976i \(0.272351\pi\)
\(44\) −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 \(-0.701266\pi\)
0.403099 + 0.915156i \(0.367933\pi\)
\(48\) −1.37489 1.05342i −0.198448 0.152048i
\(49\) −3.95986 −0.565694
\(50\) 1.00000 0.141421
\(51\) 6.95797 9.08130i 0.974311 1.27164i
\(52\) −3.14527 1.81592i −0.436170 0.251823i
\(53\) 0.0649443 + 0.112487i 0.00892079 + 0.0154513i 0.870451 0.492254i \(-0.163827\pi\)
−0.861531 + 0.507706i \(0.830494\pi\)
\(54\) −3.17209 4.11556i −0.431667 0.560057i
\(55\) −2.24200 + 3.88325i −0.302311 + 0.523618i
\(56\) 1.74360 0.232998
\(57\) 2.97573 + 6.93866i 0.394146 + 0.919048i
\(58\) 0.542647 0.0712530
\(59\) 3.22878 5.59241i 0.420351 0.728069i −0.575623 0.817715i \(-0.695240\pi\)
0.995974 + 0.0896460i \(0.0285736\pi\)
\(60\) −1.71739 0.224845i −0.221715 0.0290273i
\(61\) 1.04215 + 1.80505i 0.133433 + 0.231114i 0.924998 0.379972i \(-0.124066\pi\)
−0.791564 + 0.611086i \(0.790733\pi\)
\(62\) −7.50806 4.33478i −0.953525 0.550518i
\(63\) 5.05451 + 1.34657i 0.636808 + 0.169652i
\(64\) 1.00000 0.125000
\(65\) −3.63184 −0.450475
\(66\) 4.72353 6.16498i 0.581426 0.758857i
\(67\) −7.40682 + 4.27633i −0.904888 + 0.522437i −0.878783 0.477222i \(-0.841644\pi\)
−0.0261048 + 0.999659i \(0.508310\pi\)
\(68\) 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 −0.428370 0.903603i \(-0.640912\pi\)
0.996729 0.0808224i \(-0.0257546\pi\)
\(72\) 2.89889 + 0.772294i 0.341637 + 0.0910157i
\(73\) −3.51522 + 6.08853i −0.411425 + 0.712609i −0.995046 0.0994174i \(-0.968302\pi\)
0.583621 + 0.812026i \(0.301635\pi\)
\(74\) 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
\(78\) 6.23731 + 0.816601i 0.706236 + 0.0924619i
\(79\) −5.04814 2.91454i −0.567960 0.327912i 0.188374 0.982097i \(-0.439678\pi\)
−0.756334 + 0.654186i \(0.773012\pi\)
\(80\) 0.866025 0.500000i 0.0968246 0.0559017i
\(81\) 7.80712 + 4.47759i 0.867458 + 0.497510i
\(82\) 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 \(-0.0949984\pi\)
−0.732540 + 0.680724i \(0.761665\pi\)
\(90\) 2.89666 0.780619i 0.305335 0.0822844i
\(91\) −5.48409 + 3.16624i −0.574889 + 0.331912i
\(92\) 1.69230 + 0.977053i 0.176435 + 0.101865i
\(93\) 14.8891 + 1.94931i 1.54392 + 0.202134i
\(94\) 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 0.882214 0.470848i \(-0.156052\pi\)
0.0333409 + 0.999444i \(0.489385\pi\)
\(98\) −1.97993 + 3.42934i −0.200003 + 0.346415i
\(99\) −3.46296 + 12.9986i −0.348041 + 1.30641i
\(100\) 0.500000 0.866025i 0.0500000 0.0866025i
\(101\) −9.94712 + 5.74297i −0.989776 + 0.571447i −0.905207 0.424970i \(-0.860285\pi\)
−0.0845686 + 0.996418i \(0.526951\pi\)
\(102\) −4.38565 10.5664i −0.434244 1.04623i
\(103\) 17.6607i 1.74016i 0.492909 + 0.870081i \(0.335934\pi\)
−0.492909 + 0.870081i \(0.664066\pi\)
\(104\) −3.14527 + 1.81592i −0.308419 + 0.178066i
\(105\) −1.83674 + 2.39725i −0.179248 + 0.233948i
\(106\) 0.129889 0.0126159
\(107\) 20.1581 1.94875 0.974377 0.224920i \(-0.0722120\pi\)
0.974377 + 0.224920i \(0.0722120\pi\)
\(108\) −5.15023 + 0.689332i −0.495581 + 0.0663310i
\(109\) −5.41805 3.12812i −0.518955 0.299619i 0.217552 0.976049i \(-0.430193\pi\)
−0.736507 + 0.676430i \(0.763526\pi\)
\(110\) 2.24200 + 3.88325i 0.213766 + 0.370254i
\(111\) −0.431522 0.0564957i −0.0409582 0.00536233i
\(112\) 0.871800 1.51000i 0.0823774 0.142682i
\(113\) −6.35512 −0.597840 −0.298920 0.954278i \(-0.596626\pi\)
−0.298920 + 0.954278i \(0.596626\pi\)
\(114\) 7.49692 + 0.892269i 0.702151 + 0.0835686i
\(115\) 1.95411 0.182221
\(116\) 0.271323 0.469946i 0.0251917 0.0436334i
\(117\) −10.5202 + 2.83509i −0.972594 + 0.262104i
\(118\) −3.22878 5.59241i −0.297233 0.514823i
\(119\) 9.97377 + 5.75836i 0.914294 + 0.527868i
\(120\) −1.05342 + 1.37489i −0.0961635 + 0.125509i
\(121\) −9.10622 −0.827839
\(122\) 2.08430 0.188703
\(123\) −6.27870 4.81066i −0.566132 0.433763i
\(124\) −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 0.0364032 0.999337i \(-0.488410\pi\)
0.883653 + 0.468142i \(0.155077\pi\)
\(128\) 0.500000 0.866025i 0.0441942 0.0765466i
\(129\) −5.87739 4.50318i −0.517475 0.396483i
\(130\) −1.81592 + 3.14527i −0.159267 + 0.275858i
\(131\) 7.92681 + 4.57655i 0.692569 + 0.399855i 0.804574 0.593853i \(-0.202394\pi\)
−0.112005 + 0.993708i \(0.535727\pi\)
\(132\) −2.97727 7.17318i −0.259138 0.624345i
\(133\) −6.53696 + 3.87697i −0.566826 + 0.336176i
\(134\) 8.55266i 0.738838i
\(135\) −4.11556 + 3.17209i −0.354211 + 0.273010i
\(136\) 5.72021 + 3.30257i 0.490504 + 0.283193i
\(137\) 13.2938 7.67520i 1.13577 0.655737i 0.190390 0.981709i \(-0.439025\pi\)
0.945380 + 0.325972i \(0.105691\pi\)
\(138\) −3.35597 0.439370i −0.285679 0.0374017i
\(139\) −7.91901 13.7161i −0.671682 1.16339i −0.977427 0.211273i \(-0.932239\pi\)
0.305745 0.952113i \(-0.401094\pi\)
\(140\) 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
\(147\) 0.890353 6.80064i 0.0734351 0.560907i
\(148\) 0.217602 0.125633i 0.0178868 0.0103269i
\(149\) 17.1301 + 9.89007i 1.40335 + 0.810226i 0.994735 0.102480i \(-0.0326776\pi\)
0.408618 + 0.912706i \(0.366011\pi\)
\(150\) −0.224845 + 1.71739i −0.0183585 + 0.140225i
\(151\) 21.5191i 1.75120i −0.483038 0.875599i \(-0.660467\pi\)
0.483038 0.875599i \(-0.339533\pi\)
\(152\) −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
\(156\) 3.82585 4.99337i 0.306313 0.399790i
\(157\) 6.77384 11.7326i 0.540611 0.936366i −0.458258 0.888819i \(-0.651526\pi\)
0.998869 0.0475464i \(-0.0151402\pi\)
\(158\) −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
\(162\) 7.78127 4.52237i 0.611354 0.355311i
\(163\) 7.90301 0.619011 0.309506 0.950898i \(-0.399836\pi\)
0.309506 + 0.950898i \(0.399836\pi\)
\(164\) 4.56671 0.356600
\(165\) −6.16498 4.72353i −0.479943 0.367726i
\(166\) −8.88246 5.12829i −0.689412 0.398032i
\(167\) 4.08621 + 7.07753i 0.316201 + 0.547676i 0.979692 0.200508i \(-0.0642594\pi\)
−0.663491 + 0.748184i \(0.730926\pi\)
\(168\) −0.392039 + 2.99445i −0.0302465 + 0.231027i
\(169\) 0.0951480 0.164801i 0.00731908 0.0126770i
\(170\) 6.60513 0.506591
\(171\) −12.5855 + 3.55039i −0.962437 + 0.271505i
\(172\) 4.27482 0.325952
\(173\) −8.82834 + 15.2911i −0.671206 + 1.16256i 0.306356 + 0.951917i \(0.400890\pi\)
−0.977562 + 0.210647i \(0.932443\pi\)
\(174\) −0.122011 + 0.931939i −0.00924965 + 0.0706501i
\(175\) −0.871800 1.51000i −0.0659019 0.114145i
\(176\) 3.88325 + 2.24200i 0.292711 + 0.168997i
\(177\) 8.87840 + 6.80251i 0.667341 + 0.511308i
\(178\) 4.21236 0.315730
\(179\) 19.9723 1.49280 0.746402 0.665496i \(-0.231780\pi\)
0.746402 + 0.665496i \(0.231780\pi\)
\(180\) 0.772294 2.89889i 0.0575634 0.216070i
\(181\) 2.87130 1.65774i 0.213422 0.123219i −0.389479 0.921035i \(-0.627345\pi\)
0.602901 + 0.797816i \(0.294012\pi\)
\(182\) 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
\(186\) 9.13268 11.9197i 0.669641 0.873992i
\(187\) −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 \(-0.107964\pi\)
\(192\) −0.224845 + 1.71739i −0.0162268 + 0.123942i
\(193\) 11.3952 + 6.57904i 0.820247 + 0.473570i 0.850502 0.525972i \(-0.176298\pi\)
−0.0302545 + 0.999542i \(0.509632\pi\)
\(194\) 9.01717 5.20607i 0.647395 0.373774i
\(195\) 0.816601 6.23731i 0.0584780 0.446663i
\(196\) 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 0.660613 0.750726i \(-0.270296\pi\)
−0.980455 + 0.196745i \(0.936963\pi\)
\(200\) −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
\(204\) −11.3436 1.48513i −0.794212 0.103980i
\(205\) 3.95489 2.28336i 0.276221 0.159476i
\(206\) 15.2946 + 8.83036i 1.06563 + 0.615240i
\(207\) 5.66038 1.52541i 0.393423 0.106023i
\(208\) 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 −0.278251 0.960508i \(-0.589755\pi\)
−0.970950 + 0.239282i \(0.923088\pi\)
\(212\) 0.0649443 0.112487i 0.00446040 0.00772563i
\(213\) 13.1689 + 10.0898i 0.902315 + 0.691342i
\(214\) 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
\(219\) −9.66604 7.40599i −0.653170 0.500450i
\(220\) 4.48400 0.302311
\(221\) −23.9888 −1.61366
\(222\) −0.264688 + 0.345461i −0.0177647 + 0.0231858i
\(223\) −11.2359 6.48704i −0.752410 0.434404i 0.0741541 0.997247i \(-0.476374\pi\)
−0.826564 + 0.562843i \(0.809708\pi\)
\(224\) −0.871800 1.51000i −0.0582496 0.100891i
\(225\) −0.780619 2.89666i −0.0520412 0.193111i
\(226\) −3.17756 + 5.50370i −0.211368 + 0.366100i
\(227\) −21.2257 −1.40880 −0.704401 0.709803i \(-0.748784\pi\)
−0.704401 + 0.709803i \(0.748784\pi\)
\(228\) 4.52119 6.04639i 0.299423 0.400432i
\(229\) 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
\(231\) −13.4271 1.75790i −0.883439 0.115662i
\(232\) −0.271323 0.469946i −0.0178133 0.0308535i
\(233\) 14.0033 + 8.08481i 0.917387 + 0.529654i 0.882801 0.469748i \(-0.155655\pi\)
0.0345867 + 0.999402i \(0.488989\pi\)
\(234\) −2.80485 + 10.5283i −0.183359 + 0.688258i
\(235\) 1.48746 0.0970314
\(236\) −6.45756 −0.420351
\(237\) 6.14047 8.01432i 0.398866 0.520586i
\(238\) 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 −0.378456 0.925619i \(-0.623545\pi\)
0.612382 + 0.790562i \(0.290211\pi\)
\(242\) −4.55311 + 7.88622i −0.292685 + 0.506946i
\(243\) −9.44518 + 12.4012i −0.605909 + 0.795534i
\(244\) 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
\(249\) 17.6146 + 2.30614i 1.11628 + 0.146145i
\(250\) −0.866025 0.500000i −0.0547723 0.0316228i
\(251\) −20.8600 + 12.0435i −1.31667 + 0.760179i −0.983191 0.182579i \(-0.941556\pi\)
−0.333478 + 0.942758i \(0.608222\pi\)
\(252\) −1.36109 5.05062i −0.0857404 0.318159i
\(253\) 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 \(-0.0534862\pi\)
−0.637794 + 0.770207i \(0.720153\pi\)
\(258\) −6.83856 + 2.83838i −0.425750 + 0.176710i
\(259\) 0.438106i 0.0272226i
\(260\) 1.81592 + 3.14527i 0.112619 + 0.195061i
\(261\) −0.423600 1.57186i −0.0262202 0.0972959i
\(262\) 7.92681 4.57655i 0.489720 0.282740i
\(263\) −12.8454 7.41629i −0.792081 0.457308i 0.0486138 0.998818i \(-0.484520\pi\)
−0.840695 + 0.541510i \(0.817853\pi\)
\(264\) −7.70079 1.00820i −0.473951 0.0620506i
\(265\) 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 \(-0.770771\pi\)
0.946993 + 0.321255i \(0.104105\pi\)
\(270\) 0.689332 + 5.15023i 0.0419514 + 0.313433i
\(271\) 8.80426 15.2494i 0.534820 0.926336i −0.464352 0.885651i \(-0.653713\pi\)
0.999172 0.0406852i \(-0.0129541\pi\)
\(272\) 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
\(276\) −2.05849 + 2.68667i −0.123907 + 0.161719i
\(277\) −27.5243 −1.65377 −0.826887 0.562369i \(-0.809890\pi\)
−0.826887 + 0.562369i \(0.809890\pi\)
\(278\) −15.8380 −0.949901
\(279\) −6.69546 + 25.1321i −0.400846 + 1.50462i
\(280\) −1.51000 0.871800i −0.0902399 0.0521000i
\(281\) −2.25447 3.90486i −0.134490 0.232944i 0.790912 0.611930i \(-0.209606\pi\)
−0.925403 + 0.378985i \(0.876273\pi\)
\(282\) −2.55456 0.334448i −0.152122 0.0199161i
\(283\) −14.2001 + 24.5953i −0.844109 + 1.46204i 0.0422840 + 0.999106i \(0.486537\pi\)
−0.886393 + 0.462934i \(0.846797\pi\)
\(284\) −9.57815 −0.568358
\(285\) 0.892269 7.49692i 0.0528534 0.444079i
\(286\) −16.2852 −0.962963
\(287\) 3.98126 6.89574i 0.235006 0.407043i
\(288\) −0.780619 2.89666i −0.0459984 0.170687i
\(289\) 13.3139 + 23.0603i 0.783170 + 1.35649i
\(290\) −0.469946 0.271323i −0.0275962 0.0159327i
\(291\) −10.9683 + 14.3155i −0.642975 + 0.839189i
\(292\) 7.03043 0.411425
\(293\) −14.9955 −0.876047 −0.438024 0.898963i \(-0.644321\pi\)
−0.438024 + 0.898963i \(0.644321\pi\)
\(294\) −5.44435 4.17139i −0.317521 0.243280i
\(295\) −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
\(300\) 1.37489 + 1.05342i 0.0793790 + 0.0608192i
\(301\) 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
\(306\) 19.1328 5.15609i 1.09375 0.294754i
\(307\) 17.6339 + 10.1810i 1.00642 + 0.581058i 0.910142 0.414296i \(-0.135972\pi\)
0.0962802 + 0.995354i \(0.469306\pi\)
\(308\) 6.77084 3.90915i 0.385805 0.222744i
\(309\) −30.3304 3.97092i −1.72544 0.225898i
\(310\) 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 0.618317 0.785929i \(-0.287815\pi\)
−0.989793 + 0.142513i \(0.954482\pi\)
\(314\) −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 \(-0.228460\pi\)
−0.946214 + 0.323542i \(0.895126\pi\)
\(318\) −0.0292048 + 0.223070i −0.00163772 + 0.0125092i
\(319\) 2.10724 1.21661i 0.117983 0.0681173i
\(320\) −0.866025 0.500000i −0.0484123 0.0279508i
\(321\) −4.53244 + 34.6194i −0.252976 + 1.93226i
\(322\) 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
\(327\) 6.59043 8.60160i 0.364452 0.475669i
\(328\) 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 \(0.0686649\pi\)
−0.976823 + 0.214048i \(0.931335\pi\)
\(332\) −8.88246 + 5.12829i −0.487488 + 0.281451i
\(333\) 0.194051 0.728391i 0.0106339 0.0399156i
\(334\) 8.17243 0.447175
\(335\) 8.55266 0.467282
\(336\) 2.39725 + 1.83674i 0.130781 + 0.100202i
\(337\) 23.2844 + 13.4433i 1.26838 + 0.732301i 0.974682 0.223597i \(-0.0717799\pi\)
0.293700 + 0.955898i \(0.405113\pi\)
\(338\) −0.0951480 0.164801i −0.00517537 0.00896401i
\(339\) 1.42892 10.9143i 0.0776080 0.592781i
\(340\) 3.30257 5.72021i 0.179107 0.310222i
\(341\) −38.8743 −2.10516
\(342\) −3.21802 + 12.6746i −0.174011 + 0.685361i
\(343\) 19.1096 1.03182
\(344\) 2.13741 3.70210i 0.115241 0.199604i
\(345\) −0.439370 + 3.35597i −0.0236549 + 0.180679i
\(346\) 8.82834 + 15.2911i 0.474615 + 0.822057i
\(347\) 24.5180 + 14.1555i 1.31620 + 0.759906i 0.983114 0.182992i \(-0.0585783\pi\)
0.333081 + 0.942898i \(0.391912\pi\)
\(348\) 0.746077 + 0.571634i 0.0399939 + 0.0306428i
\(349\) 4.70839 0.252034 0.126017 0.992028i \(-0.459781\pi\)
0.126017 + 0.992028i \(0.459781\pi\)
\(350\) −1.74360 −0.0931994
\(351\) −2.50355 18.7048i −0.133629 0.998389i
\(352\) 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
\(357\) −12.1319 + 15.8342i −0.642089 + 0.838033i
\(358\) 9.98617 17.2966i 0.527786 0.914152i
\(359\) 27.5785 + 15.9225i 1.45554 + 0.840356i 0.998787 0.0492381i \(-0.0156793\pi\)
0.456752 + 0.889594i \(0.349013\pi\)
\(360\) −2.12437 2.11827i −0.111964 0.111643i
\(361\) 9.11171 16.6726i 0.479564 0.877507i
\(362\) 3.31549i 0.174258i
\(363\) 2.04749 15.6390i 0.107465 0.820834i
\(364\) 5.48409 + 3.16624i 0.287445 + 0.165956i
\(365\) 6.08853 3.51522i 0.318688 0.183995i
\(366\) −0.468643 + 3.57956i −0.0244964 + 0.187107i
\(367\) −15.1447 26.2313i −0.790545 1.36926i −0.925630 0.378430i \(-0.876464\pi\)
0.135085 0.990834i \(-0.456869\pi\)
\(368\) 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 \(-0.585031\pi\)
0.263966 0.964532i \(-0.414969\pi\)
\(374\) 14.8087 + 25.6494i 0.765740 + 1.32630i
\(375\) 1.71739 + 0.224845i 0.0886859 + 0.0116109i
\(376\) 1.28818 0.743732i 0.0664329 0.0383550i
\(377\) 1.70677 + 0.985405i 0.0879032 + 0.0507509i
\(378\) 5.53086 + 7.17589i 0.284477 + 0.369088i
\(379\) 33.6356i 1.72775i 0.503709 + 0.863873i \(0.331968\pi\)
−0.503709 + 0.863873i \(0.668032\pi\)
\(380\) 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 \(-0.756969\pi\)
0.960029 + 0.279902i \(0.0903019\pi\)
\(384\) 1.37489 + 1.05342i 0.0701618 + 0.0537570i
\(385\) 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 \(-0.733186\pi\)
0.309458 + 0.950913i \(0.399852\pi\)
\(390\) −4.99337 3.82585i −0.252849 0.193730i
\(391\) 12.9071 0.652741
\(392\) 3.95986 0.200003
\(393\) −9.64204 + 12.5845i −0.486377 + 0.634802i
\(394\) −23.7890 13.7346i −1.19847 0.691938i
\(395\) 2.91454 + 5.04814i 0.146647 + 0.253999i
\(396\) 12.9886 3.50029i 0.652702 0.175896i
\(397\) 2.72560 4.72088i 0.136794 0.236934i −0.789487 0.613767i \(-0.789653\pi\)
0.926281 + 0.376833i \(0.122987\pi\)
\(398\) −9.02384 −0.452324
\(399\) −5.18849 12.0983i −0.259749 0.605670i
\(400\) −1.00000 −0.0500000
\(401\) 14.4054 24.9508i 0.719369 1.24598i −0.241881 0.970306i \(-0.577764\pi\)
0.961250 0.275678i \(-0.0889024\pi\)
\(402\) −14.6883 1.92302i −0.732586 0.0959116i
\(403\) −15.7433 27.2681i −0.784228 1.35832i
\(404\) 9.94712 + 5.74297i 0.494888 + 0.285724i
\(405\) −4.52237 7.78127i −0.224718 0.386654i
\(406\) −0.946159 −0.0469571
\(407\) 1.12667 0.0558471
\(408\) −6.95797 + 9.08130i −0.344471 + 0.449591i
\(409\) 25.3296 14.6240i 1.25247 0.723113i 0.280869 0.959746i \(-0.409377\pi\)
0.971599 + 0.236633i \(0.0760440\pi\)
\(410\) 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
\(414\) 1.50914 5.66474i 0.0741704 0.278407i
\(415\) −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 \(-0.00864583\pi\)
\(420\) 2.99445 + 0.392039i 0.146114 + 0.0191296i
\(421\) 17.1508 + 9.90200i 0.835877 + 0.482594i 0.855861 0.517206i \(-0.173028\pi\)
−0.0199835 + 0.999800i \(0.506361\pi\)
\(422\) −18.1457 + 10.4764i −0.883318 + 0.509984i
\(423\) 4.30868 1.16114i 0.209495 0.0564566i
\(424\) −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 \(-0.118004\pi\)
−0.779784 + 0.626049i \(0.784671\pi\)
\(432\) 3.17209 + 4.11556i 0.152617 + 0.198010i
\(433\) −24.2858 + 14.0214i −1.16710 + 0.673827i −0.952996 0.302983i \(-0.902017\pi\)
−0.214107 + 0.976810i \(0.568684\pi\)
\(434\) 13.0911 + 7.55813i 0.628391 + 0.362802i
\(435\) 0.931939 + 0.122011i 0.0446830 + 0.00584999i
\(436\) 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 0.286045 0.958216i \(-0.407659\pi\)
−0.686817 + 0.726830i \(0.740993\pi\)
\(440\) 2.24200 3.88325i 0.106883 0.185127i
\(441\) 11.4792 + 3.05817i 0.546628 + 0.145627i
\(442\) −11.9944 + 20.7749i −0.570516 + 0.988163i
\(443\) 8.85438 5.11208i 0.420684 0.242882i −0.274686 0.961534i \(-0.588574\pi\)
0.695370 + 0.718652i \(0.255240\pi\)
\(444\) 0.166834 + 0.401957i 0.00791760 + 0.0190760i
\(445\) 4.21236i 0.199685i
\(446\) −11.2359 + 6.48704i −0.532034 + 0.307170i
\(447\) −20.8368 + 27.1954i −0.985545 + 1.28630i
\(448\) −1.74360 −0.0823774
\(449\) −6.66710 −0.314640 −0.157320 0.987548i \(-0.550285\pi\)
−0.157320 + 0.987548i \(0.550285\pi\)
\(450\) −2.89889 0.772294i −0.136655 0.0364063i
\(451\) 17.7337 + 10.2386i 0.835048 + 0.482115i
\(452\) 3.17756 + 5.50370i 0.149460 + 0.258872i
\(453\) 36.9568 + 4.83845i 1.73638 + 0.227330i
\(454\) −10.6129 + 18.3820i −0.498086 + 0.862711i
\(455\) 6.33249 0.296872
\(456\) −2.97573 6.93866i −0.139352 0.324933i
\(457\) −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
\(459\) −27.1838 + 20.9521i −1.26883 + 0.977960i
\(460\) −0.977053 1.69230i −0.0455553 0.0789041i
\(461\) −4.75855 2.74735i −0.221628 0.127957i 0.385076 0.922885i \(-0.374175\pi\)
−0.606704 + 0.794928i \(0.707509\pi\)
\(462\) −8.23594 + 10.7493i −0.383171 + 0.500101i
\(463\) 9.12169 0.423921 0.211960 0.977278i \(-0.432015\pi\)
0.211960 + 0.977278i \(0.432015\pi\)
\(464\) −0.542647 −0.0251917
\(465\) −11.9197 9.13268i −0.552761 0.423518i
\(466\) 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
\(471\) 18.6265 + 14.2714i 0.858263 + 0.657590i
\(472\) −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
\(477\) −0.101393 0.376243i −0.00464249 0.0172270i
\(478\) −18.4717 10.6646i −0.844876 0.487789i
\(479\) 5.77360 3.33339i 0.263802 0.152306i −0.362265 0.932075i \(-0.617997\pi\)
0.626068 + 0.779769i \(0.284663\pi\)
\(480\) 1.71739 + 0.224845i 0.0783880 + 0.0102627i
\(481\) 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 \(-0.836851\pi\)
0.871498 0.490399i \(-0.163149\pi\)
\(488\) −1.04215 1.80505i −0.0471759 0.0817110i
\(489\) −1.77695 + 13.5726i −0.0803564 + 0.613773i
\(490\) 3.42934 1.97993i 0.154922 0.0894441i
\(491\) −2.23804 1.29214i −0.101002 0.0583132i 0.448648 0.893708i \(-0.351906\pi\)
−0.549650 + 0.835395i \(0.685239\pi\)
\(492\) −1.02680 + 7.84285i −0.0462918 + 0.353583i
\(493\) 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
\(498\) 10.8045 14.1016i 0.484160 0.631908i
\(499\) −9.18058 + 15.9012i −0.410979 + 0.711837i −0.994997 0.0999040i \(-0.968146\pi\)
0.584018 + 0.811741i \(0.301480\pi\)
\(500\) −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 \(-0.426568\pi\)
0.957409 + 0.288734i \(0.0932343\pi\)
\(504\) −5.05451 1.34657i −0.225146 0.0599811i
\(505\) 11.4859 0.511118
\(506\) 8.76220 0.389527
\(507\) 0.261635 + 0.200461i 0.0116196 + 0.00890281i
\(508\) −10.3685 5.98626i −0.460028 0.265597i
\(509\) −1.76397 3.05529i −0.0781868 0.135424i 0.824281 0.566181i \(-0.191580\pi\)
−0.902468 + 0.430758i \(0.858246\pi\)
\(510\) −1.48513 + 11.3436i −0.0657626 + 0.502304i
\(511\) 6.12913 10.6160i 0.271137 0.469623i
\(512\) −1.00000 −0.0441942
\(513\) −3.26764 22.4126i −0.144270 0.989538i
\(514\) 11.1616 0.492319
\(515\) 8.83036 15.2946i 0.389112 0.673962i
\(516\) −0.961171 + 7.34156i −0.0423132 + 0.323194i
\(517\) 3.33489 + 5.77620i 0.146668 + 0.254037i
\(518\) −0.379411 0.219053i −0.0166704 0.00962465i
\(519\) −24.2759 18.5999i −1.06559 0.816444i
\(520\) 3.63184 0.159267
\(521\) −10.7293 −0.470059 −0.235030 0.971988i \(-0.575519\pi\)
−0.235030 + 0.971988i \(0.575519\pi\)
\(522\) −1.57307 0.419083i −0.0688516 0.0183428i
\(523\) 16.2359 9.37381i 0.709947 0.409888i −0.101094 0.994877i \(-0.532234\pi\)
0.811042 + 0.584989i \(0.198901\pi\)
\(524\) 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
\(528\) −4.72353 + 6.16498i −0.205565 + 0.268296i
\(529\) −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
\(534\) −0.947128 + 7.23429i −0.0409862 + 0.313058i
\(535\) −17.4574 10.0790i −0.754749 0.435755i
\(536\) 7.40682 4.27633i 0.319926 0.184709i
\(537\) −4.49068 + 34.3004i −0.193787 + 1.48017i
\(538\) −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 0.909415 + 0.415889i \(0.136529\pi\)
−0.0945373 + 0.995521i \(0.530137\pi\)
\(542\) −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
\(546\) −10.8754 1.42383i −0.465423 0.0609341i
\(547\) 14.2392 8.22099i 0.608823 0.351504i −0.163682 0.986513i \(-0.552337\pi\)
0.772505 + 0.635009i \(0.219004\pi\)
\(548\) −13.2938 7.67520i −0.567885 0.327868i
\(549\) −1.62704 6.03750i −0.0694404 0.257674i
\(550\) 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
\(555\) 0.345461 + 0.264688i 0.0146640 + 0.0112354i
\(556\) −7.91901 + 13.7161i −0.335841 + 0.581693i
\(557\) 10.7408 6.20119i 0.455101 0.262753i −0.254881 0.966972i \(-0.582036\pi\)
0.709982 + 0.704220i \(0.248703\pi\)
\(558\) 18.4173 + 18.3645i 0.779667 + 0.777431i
\(559\) 15.5255i 0.656658i
\(560\) −1.51000 + 0.871800i −0.0638092 + 0.0368403i
\(561\) −40.7205 31.1995i −1.71922 1.31724i
\(562\) −4.50894 −0.190198
\(563\) −10.1274 −0.426819 −0.213410 0.976963i \(-0.568457\pi\)
−0.213410 + 0.976963i \(0.568457\pi\)
\(564\) −1.56692 + 2.04509i −0.0659793 + 0.0861139i
\(565\) 5.50370 + 3.17756i 0.231542 + 0.133681i
\(566\) 14.2001 + 24.5953i 0.596875 + 1.03382i
\(567\) −13.6125 7.80713i −0.571671 0.327869i
\(568\) −4.78907 + 8.29492i −0.200945 + 0.348047i
\(569\) 19.0157 0.797180 0.398590 0.917129i \(-0.369500\pi\)
0.398590 + 0.917129i \(0.369500\pi\)
\(570\) −6.04639 4.52119i −0.253255 0.189372i
\(571\) 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
\(573\) 15.7938 + 2.06775i 0.659795 + 0.0863817i
\(574\) −3.98126 6.89574i −0.166175 0.287823i
\(575\) −1.69230 0.977053i −0.0705740 0.0407459i
\(576\) −2.89889 0.772294i −0.120787 0.0321789i
\(577\) 20.4867 0.852872 0.426436 0.904518i \(-0.359769\pi\)
0.426436 + 0.904518i \(0.359769\pi\)
\(578\) 26.6278 1.10757
\(579\) −13.8610 + 18.0909i −0.576042 + 0.751831i
\(580\) −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
\(585\) 10.5283 + 2.80485i 0.435292 + 0.115966i
\(586\) −7.49776 + 12.9865i −0.309730 + 0.536467i
\(587\) 18.2857 + 10.5573i 0.754733 + 0.435745i 0.827401 0.561611i \(-0.189818\pi\)
−0.0726687 + 0.997356i \(0.523152\pi\)
\(588\) −6.33470 + 2.62925i −0.261239 + 0.108428i
\(589\) −19.2772 32.5032i −0.794302 1.33927i
\(590\) 6.45756i 0.265853i
\(591\) 47.1754 + 6.17630i 1.94054 + 0.254059i
\(592\) −0.217602 0.125633i −0.00894340 0.00516347i
\(593\) −5.51015 + 3.18129i −0.226275 + 0.130640i −0.608852 0.793284i \(-0.708370\pi\)
0.382578 + 0.923923i \(0.375036\pi\)
\(594\) −18.4542 + 14.2236i −0.757183 + 0.583603i
\(595\) −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 0.853610 + 0.520913i \(0.174409\pi\)
0.0243194 + 0.999704i \(0.492258\pi\)
\(600\) 1.59973 0.663976i 0.0653087 0.0271067i
\(601\) 15.3531i 0.626264i 0.949710 + 0.313132i \(0.101378\pi\)
−0.949710 + 0.313132i \(0.898622\pi\)
\(602\) −3.72679 6.45499i −0.151893 0.263086i
\(603\) 24.7742 6.67637i 1.00888 0.271883i
\(604\) −18.6361 + 10.7595i −0.758291 + 0.437800i
\(605\) 7.88622 + 4.55311i 0.320621 + 0.185110i
\(606\) −19.7259 2.58255i −0.801310 0.104909i
\(607\) 8.61899i 0.349834i −0.984583 0.174917i \(-0.944034\pi\)
0.984583 0.174917i \(-0.0559657\pi\)
\(608\) 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
\(612\) 5.10111 19.1476i 0.206200 0.773994i
\(613\) −15.0671 + 26.0970i −0.608555 + 1.05405i 0.382924 + 0.923780i \(0.374917\pi\)
−0.991479 + 0.130268i \(0.958416\pi\)
\(614\) 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 \(-0.853447\pi\)
−0.0631463 + 0.998004i \(0.520113\pi\)
\(618\) −18.6041 + 24.2815i −0.748368 + 0.976743i
\(619\) 16.8953 0.679078 0.339539 0.940592i \(-0.389729\pi\)
0.339539 + 0.940592i \(0.389729\pi\)
\(620\) 8.66957 0.348178
\(621\) 1.34703 + 10.0641i 0.0540543 + 0.403858i
\(622\) −10.5410 6.08585i −0.422656 0.244020i
\(623\) −3.67234 6.36068i −0.147129 0.254835i
\(624\) −6.23731 0.816601i −0.249692 0.0326902i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) −13.1442 −0.525347
\(627\) 31.1129 13.3432i 1.24253 0.532875i
\(628\) −13.5477 −0.540611
\(629\) 0.829821 1.43729i 0.0330871 0.0573086i
\(630\) −5.05062 + 1.36109i −0.201221 + 0.0542270i
\(631\) 19.8257 + 34.3391i 0.789247 + 1.36702i 0.926429 + 0.376470i \(0.122862\pi\)
−0.137182 + 0.990546i \(0.543804\pi\)
\(632\) 5.04814 + 2.91454i 0.200804 + 0.115934i
\(633\) 22.0721 28.8077i 0.877288 1.14501i
\(634\) −6.86939 −0.272818
\(635\) −11.9725 −0.475115
\(636\) 0.178582 + 0.136827i 0.00708124 + 0.00542555i
\(637\) −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 0.435255 + 0.900307i \(0.356658\pi\)
−0.997316 + 0.0732121i \(0.976675\pi\)
\(642\) 27.7150 + 21.2349i 1.09383 + 0.838074i
\(643\) −1.54529 + 2.67653i −0.0609405 + 0.105552i −0.894886 0.446295i \(-0.852743\pi\)
0.833946 + 0.551847i \(0.186077\pi\)
\(644\) −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 \(-0.0495903\pi\)
\(648\) −7.80712 4.47759i −0.306693 0.175896i
\(649\) −25.0763 14.4778i −0.984332 0.568305i
\(650\) 3.14527 1.81592i 0.123368 0.0712263i
\(651\) −25.9606 3.39881i −1.01748 0.133210i
\(652\) −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 \(-0.274996\pi\)
−0.983253 + 0.182248i \(0.941663\pi\)
\(660\) −1.00820 + 7.70079i −0.0392442 + 0.299753i
\(661\) −31.8623 + 18.3957i −1.23930 + 0.715510i −0.968951 0.247253i \(-0.920472\pi\)
−0.270348 + 0.962763i \(0.587139\pi\)
\(662\) 6.74506 + 3.89426i 0.262154 + 0.151355i
\(663\) 5.39376 41.1983i 0.209476 1.60001i
\(664\) 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
\(669\) 13.6671 17.8379i 0.528402 0.689652i
\(670\) 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 \(-0.879576\pi\)
0.929286 0.369361i \(-0.120424\pi\)
\(674\) 23.2844 13.4433i 0.896881 0.517815i
\(675\) 5.15023 0.689332i 0.198232 0.0265324i
\(676\) −0.190296 −0.00731908
\(677\) −45.3076 −1.74131 −0.870656 0.491892i \(-0.836306\pi\)
−0.870656 + 0.491892i \(0.836306\pi\)
\(678\) −8.73756 6.69460i −0.335564 0.257105i
\(679\) −15.7223 9.07730i −0.603368 0.348355i
\(680\) −3.30257 5.72021i −0.126648 0.219360i
\(681\) 4.77249 36.4530i 0.182882 1.39688i
\(682\) −19.4372 + 33.6661i −0.744287 + 1.28914i
\(683\) −38.3931 −1.46907 −0.734535 0.678571i \(-0.762600\pi\)
−0.734535 + 0.678571i \(0.762600\pi\)
\(684\) 9.36748 + 9.12417i 0.358174 + 0.348871i
\(685\) −15.3504 −0.586509
\(686\) 9.55481 16.5494i 0.364804 0.631859i
\(687\) −2.17911 + 16.6443i −0.0831382 + 0.635021i
\(688\) −2.13741 3.70210i −0.0814880 0.141141i
\(689\) 0.408535 + 0.235868i 0.0155639 + 0.00898585i
\(690\) 2.68667 + 2.05849i 0.102280 + 0.0783654i
\(691\) 25.7083 0.977988 0.488994 0.872287i \(-0.337364\pi\)
0.488994 + 0.872287i \(0.337364\pi\)
\(692\) 17.6567 0.671206
\(693\) 6.03803 22.6644i 0.229366 0.860949i
\(694\) 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
\(699\) −17.0334 + 22.2314i −0.644262 + 0.840868i
\(700\) −0.871800 + 1.51000i −0.0329510 + 0.0570727i
\(701\) 35.5687 + 20.5356i 1.34341 + 0.775619i 0.987307 0.158826i \(-0.0507710\pi\)
0.356106 + 0.934446i \(0.384104\pi\)
\(702\) −17.4506 7.18428i −0.658631 0.271153i
\(703\) 0.558700 + 0.942022i 0.0210718 + 0.0355290i
\(704\) 4.48400i 0.168997i
\(705\) −0.334448 + 2.55456i −0.0125961 + 0.0962104i
\(706\) 14.5885 + 8.42267i 0.549045 + 0.316991i
\(707\) 17.3438 10.0135i 0.652281 0.376595i
\(708\) 1.45195 11.0902i 0.0545675 0.416794i
\(709\) −4.57770 7.92881i −0.171919 0.297773i 0.767172 0.641442i \(-0.221663\pi\)
−0.939091 + 0.343669i \(0.888330\pi\)
\(710\) 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
\(717\) 36.6308 + 4.79577i 1.36800 + 0.179101i
\(718\) 27.5785 15.9225i 1.02922 0.594221i
\(719\) 40.8433 + 23.5809i 1.52320 + 0.879420i 0.999623 + 0.0274407i \(0.00873575\pi\)
0.523576 + 0.851979i \(0.324598\pi\)
\(720\) −2.89666 + 0.780619i −0.107952 + 0.0290919i
\(721\) 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
\(726\) −12.5200 9.59267i −0.464661 0.356017i
\(727\) 0.839710 1.45442i 0.0311431 0.0539414i −0.850034 0.526728i \(-0.823419\pi\)
0.881177 + 0.472787i \(0.156752\pi\)
\(728\) 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
\(732\) 2.86567 + 2.19564i 0.105918 + 0.0811531i
\(733\) −50.5483 −1.86704 −0.933522 0.358519i \(-0.883282\pi\)
−0.933522 + 0.358519i \(0.883282\pi\)
\(734\) −30.2893 −1.11800
\(735\) −4.17139 + 5.44435i −0.153864 + 0.200818i
\(736\) −1.69230 0.977053i −0.0623792 0.0360146i
\(737\) 19.1751 + 33.2122i 0.706322 + 1.22339i
\(738\) −3.56486 13.2282i −0.131224 0.486937i
\(739\) 23.1698 40.1313i 0.852316 1.47626i −0.0267963 0.999641i \(-0.508531\pi\)
0.879113 0.476614i \(-0.158136\pi\)
\(740\) −0.251265 −0.00923670
\(741\) 21.9596 + 16.4203i 0.806704 + 0.603213i
\(742\) −0.226474 −0.00831412
\(743\) 8.82641 15.2878i 0.323810 0.560855i −0.657461 0.753488i \(-0.728370\pi\)
0.981271 + 0.192634i \(0.0617030\pi\)
\(744\) −14.8891 1.94931i −0.545860 0.0714650i
\(745\) −9.89007 17.1301i −0.362344 0.627598i
\(746\) −32.2650 18.6282i −1.18131 0.682027i
\(747\) −7.92109 + 29.7327i −0.289818 + 1.08786i
\(748\) 29.6174 1.08292
\(749\) −35.1476 −1.28427
\(750\) 1.05342 1.37489i 0.0384654 0.0502037i
\(751\) 21.4154 12.3642i 0.781459 0.451176i −0.0554880 0.998459i \(-0.517671\pi\)
0.836947 + 0.547284i \(0.184338\pi\)
\(752\) 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
\(756\) 8.97994 1.20192i 0.326597 0.0437134i
\(757\) −11.0903 + 19.2089i −0.403084 + 0.698161i −0.994096 0.108501i \(-0.965395\pi\)
0.591013 + 0.806662i \(0.298728\pi\)
\(758\) 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 \(-0.00703386\pi\)
\(762\) 20.5615 + 2.69196i 0.744866 + 0.0975193i
\(763\) 9.44692 + 5.45418i 0.342002 + 0.197455i
\(764\) −7.96429 + 4.59818i −0.288138 + 0.166356i
\(765\) −5.15609 19.1328i −0.186419 0.691749i
\(766\) −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 0.785564 0.618780i \(-0.212373\pi\)
−0.928661 + 0.370929i \(0.879039\pi\)
\(770\) −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 −0.868669 0.495393i \(-0.835024\pi\)
0.00531153 0.999986i \(-0.498309\pi\)
\(774\) −3.33701 12.3827i −0.119946 0.445087i
\(775\) 7.50806