Properties

Label 300.2.w.a.67.1
Level $300$
Weight $2$
Character 300.67
Analytic conductor $2.396$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.w (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 67.1
Character \(\chi\) \(=\) 300.67
Dual form 300.2.w.a.103.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.38407 + 0.290430i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(1.83130 - 0.803952i) q^{4} +(0.979302 + 2.01022i) q^{5} +(1.41246 - 0.0703383i) q^{6} +(-0.0808033 + 0.0808033i) q^{7} +(-2.30116 + 1.64459i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\) \(q+(-1.38407 + 0.290430i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(1.83130 - 0.803952i) q^{4} +(0.979302 + 2.01022i) q^{5} +(1.41246 - 0.0703383i) q^{6} +(-0.0808033 + 0.0808033i) q^{7} +(-2.30116 + 1.64459i) q^{8} +(0.951057 + 0.309017i) q^{9} +(-1.93925 - 2.49786i) q^{10} +(-0.521065 + 0.169304i) q^{11} +(-1.93452 + 0.507575i) q^{12} +(-0.379036 - 0.743901i) q^{13} +(0.0883697 - 0.135305i) q^{14} +(-0.652778 - 2.13866i) q^{15} +(2.70732 - 2.94455i) q^{16} +(0.514721 + 3.24982i) q^{17} +(-1.40608 - 0.151486i) q^{18} +(2.87295 + 2.08732i) q^{19} +(3.40951 + 2.89400i) q^{20} +(0.0924489 - 0.0671680i) q^{21} +(0.672020 - 0.385662i) q^{22} +(-3.38282 + 6.63917i) q^{23} +(2.53010 - 1.26436i) q^{24} +(-3.08194 + 3.93722i) q^{25} +(0.740664 + 0.919527i) q^{26} +(-0.891007 - 0.453990i) q^{27} +(-0.0830132 + 0.212937i) q^{28} +(4.57530 + 6.29737i) q^{29} +(1.52462 + 2.77047i) q^{30} +(-1.38542 + 1.90687i) q^{31} +(-2.89194 + 4.86176i) q^{32} +(0.541135 - 0.0857074i) q^{33} +(-1.65626 - 4.34849i) q^{34} +(-0.241563 - 0.0833013i) q^{35} +(1.99011 - 0.198701i) q^{36} +(0.401778 - 0.204716i) q^{37} +(-4.58259 - 2.05461i) q^{38} +(0.257998 + 0.794036i) q^{39} +(-5.55951 - 3.01527i) q^{40} +(1.29216 - 3.97687i) q^{41} +(-0.108448 + 0.119815i) q^{42} +(2.31395 + 2.31395i) q^{43} +(-0.818115 + 0.728959i) q^{44} +(0.310180 + 2.21445i) q^{45} +(2.75385 - 10.1715i) q^{46} +(-0.528548 + 3.33712i) q^{47} +(-3.13462 + 2.48478i) q^{48} +6.98694i q^{49} +(3.12213 - 6.34447i) q^{50} -3.29033i q^{51} +(-1.29219 - 1.05758i) q^{52} +(2.22344 - 14.0382i) q^{53} +(1.36507 + 0.369579i) q^{54} +(-0.850619 - 0.881654i) q^{55} +(0.0530527 - 0.318829i) q^{56} +(-2.51105 - 2.51105i) q^{57} +(-8.16149 - 7.38719i) q^{58} +(-1.80325 + 5.54984i) q^{59} +(-2.91481 - 3.39173i) q^{60} +(-2.07653 - 6.39089i) q^{61} +(1.36371 - 3.04161i) q^{62} +(-0.101818 + 0.0518789i) q^{63} +(2.59064 - 7.56892i) q^{64} +(1.12421 - 1.49045i) q^{65} +(-0.724077 + 0.275787i) q^{66} +(12.2481 - 1.93991i) q^{67} +(3.55531 + 5.53758i) q^{68} +(4.37977 - 6.02824i) q^{69} +(0.358533 + 0.0451376i) q^{70} +(-9.28233 - 12.7760i) q^{71} +(-2.69674 + 0.853002i) q^{72} +(1.31572 + 0.670391i) q^{73} +(-0.496633 + 0.400030i) q^{74} +(3.65991 - 3.40662i) q^{75} +(6.93934 + 1.51280i) q^{76} +(0.0284234 - 0.0557842i) q^{77} +(-0.587700 - 1.02407i) q^{78} +(-4.21793 + 3.06451i) q^{79} +(8.57048 + 2.55870i) q^{80} +(0.809017 + 0.587785i) q^{81} +(-0.633441 + 5.87955i) q^{82} +(-0.973158 - 6.14428i) q^{83} +(0.115302 - 0.197329i) q^{84} +(-6.02877 + 4.21725i) q^{85} +(-3.87472 - 2.53063i) q^{86} +(-3.53385 - 6.93557i) q^{87} +(0.920617 - 1.24654i) q^{88} +(9.70119 - 3.15211i) q^{89} +(-1.07245 - 2.97487i) q^{90} +(0.0907370 + 0.0294822i) q^{91} +(-0.857397 + 14.8779i) q^{92} +(1.66666 - 1.66666i) q^{93} +(-0.237653 - 4.77231i) q^{94} +(-1.38248 + 7.81937i) q^{95} +(3.61688 - 4.34950i) q^{96} +(-1.70626 - 0.270245i) q^{97} +(-2.02922 - 9.67042i) q^{98} -0.547881 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 12q^{8} + O(q^{10}) \) \( 240q + 12q^{8} + 8q^{10} + 8q^{12} + 4q^{13} + 20q^{17} - 20q^{20} - 12q^{22} + 20q^{25} + 4q^{28} - 8q^{30} - 20q^{32} - 8q^{33} - 4q^{37} - 76q^{38} - 92q^{40} - 20q^{42} - 140q^{44} - 4q^{45} - 16q^{48} - 164q^{50} - 172q^{52} - 4q^{53} - 120q^{58} + 20q^{60} - 44q^{62} - 60q^{64} - 20q^{65} + 16q^{68} - 44q^{70} + 12q^{72} - 44q^{73} - 48q^{77} + 24q^{78} - 4q^{80} + 60q^{81} + 24q^{82} + 80q^{84} - 64q^{85} + 60q^{88} - 260q^{89} + 48q^{90} + 144q^{92} - 64q^{93} + 40q^{94} - 20q^{96} - 180q^{97} + 256q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{20}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.38407 + 0.290430i −0.978685 + 0.205365i
\(3\) −0.987688 0.156434i −0.570242 0.0903175i
\(4\) 1.83130 0.803952i 0.915650 0.401976i
\(5\) 0.979302 + 2.01022i 0.437957 + 0.898996i
\(6\) 1.41246 0.0703383i 0.576636 0.0287155i
\(7\) −0.0808033 + 0.0808033i −0.0305408 + 0.0305408i −0.722212 0.691671i \(-0.756875\pi\)
0.691671 + 0.722212i \(0.256875\pi\)
\(8\) −2.30116 + 1.64459i −0.813582 + 0.581451i
\(9\) 0.951057 + 0.309017i 0.317019 + 0.103006i
\(10\) −1.93925 2.49786i −0.613245 0.789893i
\(11\) −0.521065 + 0.169304i −0.157107 + 0.0510472i −0.386515 0.922283i \(-0.626321\pi\)
0.229408 + 0.973330i \(0.426321\pi\)
\(12\) −1.93452 + 0.507575i −0.558448 + 0.146524i
\(13\) −0.379036 0.743901i −0.105126 0.206321i 0.832452 0.554098i \(-0.186937\pi\)
−0.937577 + 0.347777i \(0.886937\pi\)
\(14\) 0.0883697 0.135305i 0.0236178 0.0361618i
\(15\) −0.652778 2.13866i −0.168547 0.552201i
\(16\) 2.70732 2.94455i 0.676831 0.736139i
\(17\) 0.514721 + 3.24982i 0.124838 + 0.788197i 0.968076 + 0.250656i \(0.0806465\pi\)
−0.843238 + 0.537540i \(0.819354\pi\)
\(18\) −1.40608 0.151486i −0.331415 0.0357055i
\(19\) 2.87295 + 2.08732i 0.659100 + 0.478864i 0.866359 0.499422i \(-0.166454\pi\)
−0.207259 + 0.978286i \(0.566454\pi\)
\(20\) 3.40951 + 2.89400i 0.762390 + 0.647118i
\(21\) 0.0924489 0.0671680i 0.0201740 0.0146573i
\(22\) 0.672020 0.385662i 0.143275 0.0822235i
\(23\) −3.38282 + 6.63917i −0.705367 + 1.38436i 0.208367 + 0.978051i \(0.433185\pi\)
−0.913735 + 0.406311i \(0.866815\pi\)
\(24\) 2.53010 1.26436i 0.516454 0.258087i
\(25\) −3.08194 + 3.93722i −0.616387 + 0.787443i
\(26\) 0.740664 + 0.919527i 0.145256 + 0.180334i
\(27\) −0.891007 0.453990i −0.171474 0.0873705i
\(28\) −0.0830132 + 0.212937i −0.0156880 + 0.0402413i
\(29\) 4.57530 + 6.29737i 0.849613 + 1.16939i 0.983948 + 0.178455i \(0.0571100\pi\)
−0.134335 + 0.990936i \(0.542890\pi\)
\(30\) 1.52462 + 2.77047i 0.278357 + 0.505817i
\(31\) −1.38542 + 1.90687i −0.248829 + 0.342484i −0.915101 0.403225i \(-0.867889\pi\)
0.666272 + 0.745709i \(0.267889\pi\)
\(32\) −2.89194 + 4.86176i −0.511227 + 0.859446i
\(33\) 0.541135 0.0857074i 0.0941996 0.0149197i
\(34\) −1.65626 4.34849i −0.284045 0.745759i
\(35\) −0.241563 0.0833013i −0.0408316 0.0140805i
\(36\) 1.99011 0.198701i 0.331684 0.0331168i
\(37\) 0.401778 0.204716i 0.0660518 0.0336551i −0.420653 0.907222i \(-0.638199\pi\)
0.486704 + 0.873567i \(0.338199\pi\)
\(38\) −4.58259 2.05461i −0.743393 0.333301i
\(39\) 0.257998 + 0.794036i 0.0413128 + 0.127148i
\(40\) −5.55951 3.01527i −0.879036 0.476756i
\(41\) 1.29216 3.97687i 0.201802 0.621083i −0.798028 0.602621i \(-0.794123\pi\)
0.999830 0.0184617i \(-0.00587687\pi\)
\(42\) −0.108448 + 0.119815i −0.0167339 + 0.0184879i
\(43\) 2.31395 + 2.31395i 0.352875 + 0.352875i 0.861178 0.508303i \(-0.169727\pi\)
−0.508303 + 0.861178i \(0.669727\pi\)
\(44\) −0.818115 + 0.728959i −0.123335 + 0.109895i
\(45\) 0.310180 + 2.21445i 0.0462390 + 0.330111i
\(46\) 2.75385 10.1715i 0.406033 1.49971i
\(47\) −0.528548 + 3.33712i −0.0770966 + 0.486769i 0.918683 + 0.394995i \(0.129254\pi\)
−0.995780 + 0.0917738i \(0.970746\pi\)
\(48\) −3.13462 + 2.48478i −0.452444 + 0.358648i
\(49\) 6.98694i 0.998135i
\(50\) 3.12213 6.34447i 0.441536 0.897244i
\(51\) 3.29033i 0.460738i
\(52\) −1.29219 1.05758i −0.179194 0.146660i
\(53\) 2.22344 14.0382i 0.305413 1.92830i −0.0616376 0.998099i \(-0.519632\pi\)
0.367050 0.930201i \(-0.380368\pi\)
\(54\) 1.36507 + 0.369579i 0.185762 + 0.0502934i
\(55\) −0.850619 0.881654i −0.114697 0.118882i
\(56\) 0.0530527 0.318829i 0.00708946 0.0426054i
\(57\) −2.51105 2.51105i −0.332597 0.332597i
\(58\) −8.16149 7.38719i −1.07166 0.969985i
\(59\) −1.80325 + 5.54984i −0.234763 + 0.722528i 0.762389 + 0.647119i \(0.224026\pi\)
−0.997153 + 0.0754088i \(0.975974\pi\)
\(60\) −2.91481 3.39173i −0.376301 0.437871i
\(61\) −2.07653 6.39089i −0.265872 0.818269i −0.991491 0.130173i \(-0.958447\pi\)
0.725619 0.688096i \(-0.241553\pi\)
\(62\) 1.36371 3.04161i 0.173191 0.386285i
\(63\) −0.101818 + 0.0518789i −0.0128279 + 0.00653613i
\(64\) 2.59064 7.56892i 0.323830 0.946115i
\(65\) 1.12421 1.49045i 0.139441 0.184867i
\(66\) −0.724077 + 0.275787i −0.0891277 + 0.0339471i
\(67\) 12.2481 1.93991i 1.49634 0.236998i 0.646046 0.763298i \(-0.276421\pi\)
0.850298 + 0.526301i \(0.176421\pi\)
\(68\) 3.55531 + 5.53758i 0.431144 + 0.671531i
\(69\) 4.37977 6.02824i 0.527262 0.725714i
\(70\) 0.358533 + 0.0451376i 0.0428529 + 0.00539498i
\(71\) −9.28233 12.7760i −1.10161 1.51624i −0.833233 0.552923i \(-0.813512\pi\)
−0.268378 0.963314i \(-0.586488\pi\)
\(72\) −2.69674 + 0.853002i −0.317813 + 0.100527i
\(73\) 1.31572 + 0.670391i 0.153993 + 0.0784633i 0.529289 0.848442i \(-0.322459\pi\)
−0.375296 + 0.926905i \(0.622459\pi\)
\(74\) −0.496633 + 0.400030i −0.0577324 + 0.0465025i
\(75\) 3.65991 3.40662i 0.422610 0.393363i
\(76\) 6.93934 + 1.51280i 0.795997 + 0.173530i
\(77\) 0.0284234 0.0557842i 0.00323915 0.00635719i
\(78\) −0.587700 1.02407i −0.0665439 0.115953i
\(79\) −4.21793 + 3.06451i −0.474554 + 0.344784i −0.799214 0.601047i \(-0.794750\pi\)
0.324659 + 0.945831i \(0.394750\pi\)
\(80\) 8.57048 + 2.55870i 0.958208 + 0.286071i
\(81\) 0.809017 + 0.587785i 0.0898908 + 0.0653095i
\(82\) −0.633441 + 5.87955i −0.0699519 + 0.649288i
\(83\) −0.973158 6.14428i −0.106818 0.674422i −0.981750 0.190176i \(-0.939094\pi\)
0.874932 0.484246i \(-0.160906\pi\)
\(84\) 0.115302 0.197329i 0.0125805 0.0215304i
\(85\) −6.02877 + 4.21725i −0.653912 + 0.457425i
\(86\) −3.87472 2.53063i −0.417821 0.272885i
\(87\) −3.53385 6.93557i −0.378868 0.743571i
\(88\) 0.920617 1.24654i 0.0981380 0.132881i
\(89\) 9.70119 3.15211i 1.02832 0.334123i 0.254197 0.967153i \(-0.418189\pi\)
0.774127 + 0.633030i \(0.218189\pi\)
\(90\) −1.07245 2.97487i −0.113047 0.313579i
\(91\) 0.0907370 + 0.0294822i 0.00951182 + 0.00309058i
\(92\) −0.857397 + 14.8779i −0.0893899 + 1.55113i
\(93\) 1.66666 1.66666i 0.172825 0.172825i
\(94\) −0.237653 4.77231i −0.0245121 0.492226i
\(95\) −1.38248 + 7.81937i −0.141839 + 0.802250i
\(96\) 3.61688 4.34950i 0.369146 0.443919i
\(97\) −1.70626 0.270245i −0.173244 0.0274392i 0.0692096 0.997602i \(-0.477952\pi\)
−0.242454 + 0.970163i \(0.577952\pi\)
\(98\) −2.02922 9.67042i −0.204982 0.976860i
\(99\) −0.547881 −0.0550641
\(100\) −2.47862 + 9.68795i −0.247862 + 0.968795i
\(101\) −11.4729 −1.14160 −0.570798 0.821091i \(-0.693366\pi\)
−0.570798 + 0.821091i \(0.693366\pi\)
\(102\) 0.955611 + 4.55405i 0.0946196 + 0.450918i
\(103\) 11.2138 + 1.77608i 1.10492 + 0.175003i 0.682136 0.731225i \(-0.261051\pi\)
0.422789 + 0.906228i \(0.361051\pi\)
\(104\) 2.09563 + 1.08847i 0.205494 + 0.106733i
\(105\) 0.225558 + 0.120064i 0.0220122 + 0.0117171i
\(106\) 0.999735 + 20.0757i 0.0971028 + 1.94992i
\(107\) 2.58147 2.58147i 0.249560 0.249560i −0.571230 0.820790i \(-0.693534\pi\)
0.820790 + 0.571230i \(0.193534\pi\)
\(108\) −1.99669 0.115067i −0.192131 0.0110723i
\(109\) 4.86280 + 1.58002i 0.465772 + 0.151338i 0.532495 0.846433i \(-0.321255\pi\)
−0.0667234 + 0.997772i \(0.521255\pi\)
\(110\) 1.43337 + 0.973225i 0.136667 + 0.0927934i
\(111\) −0.428856 + 0.139344i −0.0407052 + 0.0132259i
\(112\) 0.0191691 + 0.456690i 0.00181131 + 0.0431532i
\(113\) −7.03160 13.8003i −0.661477 1.29822i −0.941105 0.338114i \(-0.890211\pi\)
0.279628 0.960108i \(-0.409789\pi\)
\(114\) 4.20475 + 2.74618i 0.393811 + 0.257204i
\(115\) −16.6590 0.298460i −1.55346 0.0278316i
\(116\) 13.4415 + 7.85404i 1.24802 + 0.729230i
\(117\) −0.130607 0.824620i −0.0120746 0.0762362i
\(118\) 0.883986 8.20509i 0.0813775 0.755339i
\(119\) −0.304187 0.221005i −0.0278848 0.0202595i
\(120\) 5.01937 + 3.84785i 0.458204 + 0.351259i
\(121\) −8.65634 + 6.28920i −0.786940 + 0.571745i
\(122\) 4.73016 + 8.24235i 0.428249 + 0.746227i
\(123\) −1.89837 + 3.72577i −0.171171 + 0.335941i
\(124\) −1.00409 + 4.60586i −0.0901701 + 0.413619i
\(125\) −10.9328 2.33964i −0.977859 0.209263i
\(126\) 0.125856 0.101375i 0.0112122 0.00903121i
\(127\) 9.45960 + 4.81991i 0.839404 + 0.427698i 0.820172 0.572117i \(-0.193878\pi\)
0.0192321 + 0.999815i \(0.493878\pi\)
\(128\) −1.38739 + 11.2283i −0.122629 + 0.992453i
\(129\) −1.92348 2.64745i −0.169353 0.233095i
\(130\) −1.12311 + 2.38939i −0.0985037 + 0.209563i
\(131\) 13.0987 18.0288i 1.14444 1.57518i 0.387257 0.921972i \(-0.373422\pi\)
0.757178 0.653209i \(-0.226578\pi\)
\(132\) 0.922077 0.592003i 0.0802565 0.0515272i
\(133\) −0.400806 + 0.0634815i −0.0347543 + 0.00550454i
\(134\) −16.3888 + 6.24219i −1.41578 + 0.539243i
\(135\) 0.0400547 2.23571i 0.00344736 0.192419i
\(136\) −6.52908 6.63184i −0.559864 0.568675i
\(137\) −6.60920 + 3.36756i −0.564662 + 0.287710i −0.712927 0.701238i \(-0.752631\pi\)
0.148265 + 0.988948i \(0.452631\pi\)
\(138\) −4.31113 + 9.61552i −0.366987 + 0.818527i
\(139\) −2.89675 8.91529i −0.245699 0.756185i −0.995521 0.0945444i \(-0.969861\pi\)
0.749821 0.661640i \(-0.230139\pi\)
\(140\) −0.509344 + 0.0416553i −0.0430475 + 0.00352051i
\(141\) 1.04408 3.21335i 0.0879275 0.270613i
\(142\) 16.5579 + 14.9871i 1.38951 + 1.25769i
\(143\) 0.323448 + 0.323448i 0.0270481 + 0.0270481i
\(144\) 3.48473 1.96383i 0.290395 0.163652i
\(145\) −8.17846 + 15.3644i −0.679184 + 1.27594i
\(146\) −2.01575 0.545744i −0.166824 0.0451661i
\(147\) 1.09300 6.90092i 0.0901490 0.569178i
\(148\) 0.571194 0.697906i 0.0469518 0.0573675i
\(149\) 20.8441i 1.70762i 0.520587 + 0.853809i \(0.325713\pi\)
−0.520587 + 0.853809i \(0.674287\pi\)
\(150\) −4.07618 + 5.77795i −0.332819 + 0.471768i
\(151\) 19.3780i 1.57696i 0.615062 + 0.788479i \(0.289131\pi\)
−0.615062 + 0.788479i \(0.710869\pi\)
\(152\) −10.0439 0.0784231i −0.814667 0.00636095i
\(153\) −0.514721 + 3.24982i −0.0416127 + 0.262732i
\(154\) −0.0231386 + 0.0854642i −0.00186456 + 0.00688690i
\(155\) −5.18997 0.917596i −0.416868 0.0737031i
\(156\) 1.11084 + 1.24670i 0.0889383 + 0.0998160i
\(157\) −11.0581 11.0581i −0.882529 0.882529i 0.111262 0.993791i \(-0.464511\pi\)
−0.993791 + 0.111262i \(0.964511\pi\)
\(158\) 4.94789 5.46651i 0.393633 0.434892i
\(159\) −4.39213 + 13.5176i −0.348318 + 1.07201i
\(160\) −12.6053 1.05229i −0.996534 0.0831907i
\(161\) −0.263123 0.809810i −0.0207370 0.0638219i
\(162\) −1.29045 0.578573i −0.101387 0.0454570i
\(163\) 18.5208 9.43684i 1.45066 0.739150i 0.461663 0.887056i \(-0.347253\pi\)
0.989002 + 0.147905i \(0.0472530\pi\)
\(164\) −0.830872 8.32168i −0.0648802 0.649814i
\(165\) 0.702225 + 1.00387i 0.0546682 + 0.0781508i
\(166\) 3.13140 + 8.22147i 0.243044 + 0.638110i
\(167\) 16.9741 2.68843i 1.31349 0.208037i 0.539905 0.841726i \(-0.318460\pi\)
0.773587 + 0.633690i \(0.218460\pi\)
\(168\) −0.102275 + 0.306605i −0.00789072 + 0.0236551i
\(169\) 7.23149 9.95329i 0.556268 0.765638i
\(170\) 7.11942 7.58791i 0.546035 0.581966i
\(171\) 2.08732 + 2.87295i 0.159621 + 0.219700i
\(172\) 6.09785 + 2.37724i 0.464957 + 0.181263i
\(173\) 11.8394 + 6.03246i 0.900130 + 0.458639i 0.841881 0.539663i \(-0.181448\pi\)
0.0582491 + 0.998302i \(0.481448\pi\)
\(174\) 6.90539 + 8.57298i 0.523497 + 0.649916i
\(175\) −0.0691094 0.567171i −0.00522418 0.0428741i
\(176\) −0.912166 + 1.99267i −0.0687571 + 0.150203i
\(177\) 2.64924 5.19942i 0.199129 0.390812i
\(178\) −12.5117 + 7.18026i −0.937789 + 0.538183i
\(179\) 11.9838 8.70672i 0.895709 0.650771i −0.0416514 0.999132i \(-0.513262\pi\)
0.937360 + 0.348362i \(0.113262\pi\)
\(180\) 2.34834 + 3.80595i 0.175035 + 0.283679i
\(181\) 2.28163 + 1.65770i 0.169592 + 0.123216i 0.669344 0.742953i \(-0.266575\pi\)
−0.499752 + 0.866169i \(0.666575\pi\)
\(182\) −0.134149 0.0144527i −0.00994378 0.00107131i
\(183\) 1.05120 + 6.63705i 0.0777073 + 0.490625i
\(184\) −3.13430 20.8411i −0.231064 1.53643i
\(185\) 0.804985 + 0.607181i 0.0591836 + 0.0446408i
\(186\) −1.82273 + 2.79083i −0.133649 + 0.204634i
\(187\) −0.818412 1.60622i −0.0598482 0.117459i
\(188\) 1.71495 + 6.53619i 0.125076 + 0.476701i
\(189\) 0.108680 0.0353123i 0.00790532 0.00256859i
\(190\) −0.357532 11.2241i −0.0259381 0.814279i
\(191\) 0.659670 + 0.214340i 0.0477320 + 0.0155091i 0.332786 0.943002i \(-0.392011\pi\)
−0.285054 + 0.958512i \(0.592011\pi\)
\(192\) −3.74279 + 7.07047i −0.270112 + 0.510267i
\(193\) 0.643179 0.643179i 0.0462971 0.0462971i −0.683579 0.729876i \(-0.739578\pi\)
0.729876 + 0.683579i \(0.239578\pi\)
\(194\) 2.44007 0.121511i 0.175187 0.00872401i
\(195\) −1.34353 + 1.29623i −0.0962119 + 0.0928252i
\(196\) 5.61716 + 12.7952i 0.401226 + 0.913942i
\(197\) 4.69155 + 0.743068i 0.334259 + 0.0529414i 0.321308 0.946975i \(-0.395877\pi\)
0.0129509 + 0.999916i \(0.495877\pi\)
\(198\) 0.758305 0.159121i 0.0538904 0.0113082i
\(199\) −17.8531 −1.26557 −0.632786 0.774327i \(-0.718089\pi\)
−0.632786 + 0.774327i \(0.718089\pi\)
\(200\) 0.616908 14.1287i 0.0436220 0.999048i
\(201\) −12.4008 −0.874684
\(202\) 15.8793 3.33207i 1.11726 0.234444i
\(203\) −0.878547 0.139148i −0.0616619 0.00976629i
\(204\) −2.64527 6.02558i −0.185206 0.421875i
\(205\) 9.25978 1.29703i 0.646731 0.0905883i
\(206\) −16.0365 + 0.798589i −1.11731 + 0.0556403i
\(207\) −5.26887 + 5.26887i −0.366212 + 0.366212i
\(208\) −3.21663 0.897886i −0.223033 0.0622572i
\(209\) −1.85039 0.601227i −0.127994 0.0415878i
\(210\) −0.347058 0.100669i −0.0239493 0.00694681i
\(211\) 3.94777 1.28271i 0.271776 0.0883053i −0.169958 0.985451i \(-0.554363\pi\)
0.441734 + 0.897146i \(0.354363\pi\)
\(212\) −7.21428 27.4958i −0.495479 1.88842i
\(213\) 7.16944 + 14.0708i 0.491242 + 0.964117i
\(214\) −2.82320 + 4.32267i −0.192990 + 0.295492i
\(215\) −2.38549 + 6.91761i −0.162689 + 0.471777i
\(216\) 2.79697 0.420638i 0.190310 0.0286208i
\(217\) −0.0421347 0.266028i −0.00286029 0.0180592i
\(218\) −7.18934 0.774553i −0.486924 0.0524594i
\(219\) −1.19465 0.867961i −0.0807266 0.0586513i
\(220\) −2.26655 0.930717i −0.152810 0.0627489i
\(221\) 2.22244 1.61470i 0.149498 0.108617i
\(222\) 0.553097 0.317414i 0.0371214 0.0213034i
\(223\) −5.03433 + 9.88043i −0.337124 + 0.661643i −0.995877 0.0907167i \(-0.971084\pi\)
0.658753 + 0.752359i \(0.271084\pi\)
\(224\) −0.159168 0.626524i −0.0106349 0.0418614i
\(225\) −4.14776 + 2.79214i −0.276517 + 0.186143i
\(226\) 13.7402 + 17.0584i 0.913988 + 1.13471i
\(227\) −7.98815 4.07017i −0.530192 0.270147i 0.168335 0.985730i \(-0.446161\pi\)
−0.698527 + 0.715583i \(0.746161\pi\)
\(228\) −6.61725 2.57972i −0.438238 0.170846i
\(229\) −11.2030 15.4196i −0.740315 1.01896i −0.998600 0.0528873i \(-0.983158\pi\)
0.258286 0.966069i \(-0.416842\pi\)
\(230\) 23.1439 4.42518i 1.52606 0.291788i
\(231\) −0.0368001 + 0.0506510i −0.00242127 + 0.00333259i
\(232\) −20.8851 6.96672i −1.37117 0.457388i
\(233\) 20.2185 3.20229i 1.32456 0.209789i 0.546222 0.837640i \(-0.316065\pi\)
0.778333 + 0.627851i \(0.216065\pi\)
\(234\) 0.420264 + 1.10340i 0.0274735 + 0.0721315i
\(235\) −7.22594 + 2.20555i −0.471368 + 0.143874i
\(236\) 1.15951 + 11.6132i 0.0754775 + 0.755952i
\(237\) 4.64540 2.36695i 0.301751 0.153750i
\(238\) 0.485203 + 0.217541i 0.0314510 + 0.0141011i
\(239\) −1.41153 4.34425i −0.0913044 0.281006i 0.894969 0.446129i \(-0.147198\pi\)
−0.986273 + 0.165123i \(0.947198\pi\)
\(240\) −8.06469 3.86791i −0.520574 0.249673i
\(241\) −5.60469 + 17.2495i −0.361030 + 1.11113i 0.591401 + 0.806378i \(0.298575\pi\)
−0.952430 + 0.304757i \(0.901425\pi\)
\(242\) 10.1544 11.2188i 0.652750 0.721169i
\(243\) −0.707107 0.707107i −0.0453609 0.0453609i
\(244\) −8.94071 10.0342i −0.572370 0.642374i
\(245\) −14.0453 + 6.84232i −0.897319 + 0.437140i
\(246\) 1.54541 5.70807i 0.0985315 0.363933i
\(247\) 0.463807 2.92836i 0.0295113 0.186327i
\(248\) 0.0520519 6.66646i 0.00330530 0.423320i
\(249\) 6.22086i 0.394231i
\(250\) 15.8113 + 0.0630033i 0.999992 + 0.00398468i
\(251\) 16.9015i 1.06681i −0.845859 0.533406i \(-0.820912\pi\)
0.845859 0.533406i \(-0.179088\pi\)
\(252\) −0.144751 + 0.176863i −0.00911848 + 0.0111413i
\(253\) 0.638632 4.03217i 0.0401505 0.253500i
\(254\) −14.4926 3.92374i −0.909346 0.246197i
\(255\) 6.61427 3.22222i 0.414202 0.201784i
\(256\) −1.34081 15.9437i −0.0838004 0.996483i
\(257\) −13.4787 13.4787i −0.840776 0.840776i 0.148184 0.988960i \(-0.452657\pi\)
−0.988960 + 0.148184i \(0.952657\pi\)
\(258\) 3.43113 + 3.10562i 0.213613 + 0.193347i
\(259\) −0.0159232 + 0.0490067i −0.000989421 + 0.00304513i
\(260\) 0.860518 3.63327i 0.0533671 0.225326i
\(261\) 2.40538 + 7.40300i 0.148889 + 0.458234i
\(262\) −12.8934 + 28.7573i −0.796555 + 1.77663i
\(263\) −12.5493 + 6.39419i −0.773823 + 0.394283i −0.795865 0.605475i \(-0.792983\pi\)
0.0220417 + 0.999757i \(0.492983\pi\)
\(264\) −1.10428 + 1.08717i −0.0679639 + 0.0669108i
\(265\) 30.3973 9.27808i 1.86729 0.569948i
\(266\) 0.536307 0.204269i 0.0328831 0.0125245i
\(267\) −10.0749 + 1.59570i −0.616571 + 0.0976552i
\(268\) 20.8704 13.3994i 1.27486 0.818501i
\(269\) 5.30034 7.29529i 0.323167 0.444802i −0.616264 0.787540i \(-0.711354\pi\)
0.939431 + 0.342738i \(0.111354\pi\)
\(270\) 0.593879 + 3.10601i 0.0361423 + 0.189026i
\(271\) 6.50668 + 8.95567i 0.395253 + 0.544018i 0.959545 0.281557i \(-0.0908508\pi\)
−0.564292 + 0.825575i \(0.690851\pi\)
\(272\) 10.9628 + 7.28269i 0.664717 + 0.441578i
\(273\) −0.0850078 0.0433137i −0.00514491 0.00262146i
\(274\) 8.16956 6.58045i 0.493541 0.397540i
\(275\) 0.939302 2.57333i 0.0566421 0.155178i
\(276\) 3.17426 14.5606i 0.191068 0.876447i
\(277\) 12.5869 24.7032i 0.756274 1.48427i −0.114943 0.993372i \(-0.536668\pi\)
0.871217 0.490899i \(-0.163332\pi\)
\(278\) 6.59858 + 11.4981i 0.395756 + 0.689609i
\(279\) −1.90687 + 1.38542i −0.114161 + 0.0829430i
\(280\) 0.692870 0.205583i 0.0414069 0.0122859i
\(281\) 7.95866 + 5.78231i 0.474774 + 0.344943i 0.799299 0.600934i \(-0.205204\pi\)
−0.324525 + 0.945877i \(0.605204\pi\)
\(282\) −0.511827 + 4.75073i −0.0304788 + 0.282902i
\(283\) −2.38077 15.0316i −0.141522 0.893535i −0.951628 0.307252i \(-0.900591\pi\)
0.810106 0.586283i \(-0.199409\pi\)
\(284\) −27.2701 15.9342i −1.61818 0.945521i
\(285\) 2.58868 7.50683i 0.153340 0.444666i
\(286\) −0.541615 0.353736i −0.0320263 0.0209169i
\(287\) 0.216933 + 0.425755i 0.0128052 + 0.0251315i
\(288\) −4.25276 + 3.73015i −0.250596 + 0.219801i
\(289\) 5.87157 1.90779i 0.345387 0.112223i
\(290\) 6.85729 23.6406i 0.402674 1.38823i
\(291\) 1.64297 + 0.533835i 0.0963129 + 0.0312940i
\(292\) 2.94843 + 0.169915i 0.172544 + 0.00994350i
\(293\) −18.5529 + 18.5529i −1.08387 + 1.08387i −0.0877260 + 0.996145i \(0.527960\pi\)
−0.996145 + 0.0877260i \(0.972040\pi\)
\(294\) 0.491450 + 9.86880i 0.0286619 + 0.575560i
\(295\) −12.9223 + 1.81004i −0.752366 + 0.105385i
\(296\) −0.587879 + 1.13184i −0.0341698 + 0.0657870i
\(297\) 0.541135 + 0.0857074i 0.0313999 + 0.00497325i
\(298\) −6.05377 28.8497i −0.350685 1.67122i
\(299\) 6.22109 0.359775
\(300\) 3.96363 9.18094i 0.228840 0.530062i
\(301\) −0.373950 −0.0215541
\(302\) −5.62795 26.8205i −0.323852 1.54335i
\(303\) 11.3316 + 1.79476i 0.650986 + 0.103106i
\(304\) 13.9242 2.80851i 0.798609 0.161079i
\(305\) 10.8135 10.4329i 0.619180 0.597384i
\(306\) −0.231436 4.64747i −0.0132303 0.265678i
\(307\) −7.59845 + 7.59845i −0.433667 + 0.433667i −0.889874 0.456207i \(-0.849208\pi\)
0.456207 + 0.889874i \(0.349208\pi\)
\(308\) 0.00720410 0.125009i 0.000410492 0.00712303i
\(309\) −10.7979 3.50844i −0.614269 0.199588i
\(310\) 7.44977 0.237305i 0.423119 0.0134780i
\(311\) −18.8976 + 6.14019i −1.07158 + 0.348178i −0.791104 0.611682i \(-0.790493\pi\)
−0.280479 + 0.959860i \(0.590493\pi\)
\(312\) −1.89956 1.40290i −0.107541 0.0794236i
\(313\) −1.19984 2.35482i −0.0678190 0.133102i 0.854608 0.519273i \(-0.173797\pi\)
−0.922427 + 0.386171i \(0.873797\pi\)
\(314\) 18.5167 + 12.0935i 1.04496 + 0.682477i
\(315\) −0.203998 0.153871i −0.0114940 0.00866966i
\(316\) −5.26058 + 9.00305i −0.295931 + 0.506461i
\(317\) 2.11922 + 13.3802i 0.119027 + 0.751508i 0.972934 + 0.231082i \(0.0742267\pi\)
−0.853907 + 0.520426i \(0.825773\pi\)
\(318\) 2.15310 19.9849i 0.120740 1.12070i
\(319\) −3.45020 2.50672i −0.193174 0.140349i
\(320\) 17.7522 2.20451i 0.992377 0.123236i
\(321\) −2.95352 + 2.14586i −0.164849 + 0.119770i
\(322\) 0.599374 + 1.04441i 0.0334018 + 0.0582029i
\(323\) −5.30465 + 10.4110i −0.295158 + 0.579281i
\(324\) 1.95410 + 0.426001i 0.108561 + 0.0236667i
\(325\) 4.09706 + 0.800307i 0.227264 + 0.0443930i
\(326\) −22.8934 + 18.4403i −1.26795 + 1.02131i
\(327\) −4.55576 2.32128i −0.251934 0.128367i
\(328\) 3.56685 + 11.2765i 0.196947 + 0.622639i
\(329\) −0.226942 0.312359i −0.0125117 0.0172209i
\(330\) −1.26348 1.18547i −0.0695524 0.0652581i
\(331\) 1.74817 2.40616i 0.0960883 0.132254i −0.758266 0.651946i \(-0.773953\pi\)
0.854354 + 0.519691i \(0.173953\pi\)
\(332\) −6.72185 10.4696i −0.368909 0.574596i
\(333\) 0.445374 0.0705403i 0.0244063 0.00386558i
\(334\) −22.7125 + 8.65075i −1.24277 + 0.473348i
\(335\) 15.8942 + 22.7216i 0.868395 + 1.24141i
\(336\) 0.0525090 0.454066i 0.00286460 0.0247714i
\(337\) 7.68126 3.91380i 0.418425 0.213198i −0.232086 0.972695i \(-0.574555\pi\)
0.650511 + 0.759497i \(0.274555\pi\)
\(338\) −7.11815 + 15.8763i −0.387176 + 0.863557i
\(339\) 4.78619 + 14.7304i 0.259950 + 0.800044i
\(340\) −7.65002 + 12.5699i −0.414881 + 0.681699i
\(341\) 0.399054 1.22816i 0.0216100 0.0665087i
\(342\) −3.72339 3.37014i −0.201338 0.182236i
\(343\) −1.13019 1.13019i −0.0610246 0.0610246i
\(344\) −9.13028 1.51926i −0.492272 0.0819131i
\(345\) 16.4072 + 2.90082i 0.883332 + 0.156175i
\(346\) −18.1385 4.91084i −0.975133 0.264008i
\(347\) −4.55737 + 28.7741i −0.244653 + 1.54468i 0.493321 + 0.869847i \(0.335783\pi\)
−0.737974 + 0.674829i \(0.764217\pi\)
\(348\) −12.0474 9.86007i −0.645809 0.528555i
\(349\) 24.7013i 1.32223i 0.750284 + 0.661115i \(0.229917\pi\)
−0.750284 + 0.661115i \(0.770083\pi\)
\(350\) 0.260376 + 0.764932i 0.0139177 + 0.0408874i
\(351\) 0.834899i 0.0445636i
\(352\) 0.683771 3.02291i 0.0364451 0.161122i
\(353\) 0.908260 5.73453i 0.0483418 0.305218i −0.951656 0.307165i \(-0.900620\pi\)
0.999998 + 0.00194675i \(0.000619670\pi\)
\(354\) −2.15666 + 7.96578i −0.114625 + 0.423377i
\(355\) 16.5924 31.1711i 0.880632 1.65439i
\(356\) 15.2317 13.5717i 0.807276 0.719301i
\(357\) 0.265869 + 0.265869i 0.0140713 + 0.0140713i
\(358\) −14.0577 + 15.5312i −0.742971 + 0.820847i
\(359\) −4.60845 + 14.1833i −0.243225 + 0.748568i 0.752699 + 0.658365i \(0.228752\pi\)
−0.995923 + 0.0902033i \(0.971248\pi\)
\(360\) −4.35564 4.58568i −0.229562 0.241686i
\(361\) −1.97439 6.07654i −0.103915 0.319818i
\(362\) −3.63938 1.63172i −0.191282 0.0857613i
\(363\) 9.53362 4.85762i 0.500385 0.254959i
\(364\) 0.189869 0.0189573i 0.00995184 0.000993635i
\(365\) −0.0591473 + 3.30139i −0.00309591 + 0.172803i
\(366\) −3.38254 8.88083i −0.176808 0.464209i
\(367\) −19.7109 + 3.12190i −1.02890 + 0.162962i −0.647989 0.761649i \(-0.724390\pi\)
−0.380912 + 0.924611i \(0.624390\pi\)
\(368\) 10.3910 + 27.9353i 0.541668 + 1.45623i
\(369\) 2.45784 3.38293i 0.127950 0.176108i
\(370\) −1.29050 0.606589i −0.0670898 0.0315351i
\(371\) 0.954674 + 1.31400i 0.0495642 + 0.0682193i
\(372\) 1.71225 4.39208i 0.0887758 0.227719i
\(373\) 30.1435 + 15.3589i 1.56077 + 0.795253i 0.999476 0.0323617i \(-0.0103029\pi\)
0.561296 + 0.827615i \(0.310303\pi\)
\(374\) 1.59924 + 1.98543i 0.0826945 + 0.102664i
\(375\) 10.4322 + 4.02110i 0.538716 + 0.207649i
\(376\) −4.27192 8.54848i −0.220308 0.440854i
\(377\) 2.95041 5.79050i 0.151954 0.298226i
\(378\) −0.140165 + 0.0804388i −0.00720932 + 0.00413732i
\(379\) −11.0434 + 8.02353i −0.567264 + 0.412141i −0.834110 0.551598i \(-0.814018\pi\)
0.266846 + 0.963739i \(0.414018\pi\)
\(380\) 3.75466 + 15.4311i 0.192610 + 0.791596i
\(381\) −8.58914 6.24037i −0.440035 0.319704i
\(382\) −0.975280 0.105073i −0.0498997 0.00537601i
\(383\) 3.32987 + 21.0240i 0.170148 + 1.07427i 0.913936 + 0.405858i \(0.133027\pi\)
−0.743788 + 0.668416i \(0.766973\pi\)
\(384\) 3.12680 10.8730i 0.159564 0.554863i
\(385\) 0.139973 + 0.00250775i 0.00713370 + 0.000127807i
\(386\) −0.703407 + 1.07700i −0.0358025 + 0.0548181i
\(387\) 1.48565 + 2.91575i 0.0755198 + 0.148216i
\(388\) −3.34193 + 0.876850i −0.169661 + 0.0445153i
\(389\) −5.57557 + 1.81161i −0.282693 + 0.0918524i −0.446932 0.894568i \(-0.647483\pi\)
0.164239 + 0.986421i \(0.447483\pi\)
\(390\) 1.48307 2.18428i 0.0750982 0.110605i
\(391\) −23.3173 7.57625i −1.17921 0.383147i
\(392\) −11.4907 16.0780i −0.580366 0.812064i
\(393\) −15.7577 + 15.7577i −0.794872 + 0.794872i
\(394\) −6.70924 + 0.334109i −0.338007 + 0.0168322i
\(395\) −10.2909 5.47788i −0.517794 0.275622i
\(396\) −1.00333 + 0.440470i −0.0504194 + 0.0221344i
\(397\) 8.40000 + 1.33043i 0.421584 + 0.0667723i 0.363622 0.931547i \(-0.381540\pi\)
0.0579615 + 0.998319i \(0.481540\pi\)
\(398\) 24.7099 5.18508i 1.23860 0.259905i
\(399\) 0.405802 0.0203155
\(400\) 3.24955 + 19.7342i 0.162478 + 0.986712i
\(401\) 20.6802 1.03272 0.516360 0.856372i \(-0.327287\pi\)
0.516360 + 0.856372i \(0.327287\pi\)
\(402\) 17.1636 3.60156i 0.856040 0.179630i
\(403\) 1.94365 + 0.307843i 0.0968199 + 0.0153348i
\(404\) −21.0103 + 9.22365i −1.04530 + 0.458894i
\(405\) −0.389304 + 2.20192i −0.0193446 + 0.109414i
\(406\) 1.25638 0.0625659i 0.0623533 0.00310509i
\(407\) −0.174693 + 0.174693i −0.00865921 + 0.00865921i
\(408\) 5.41124 + 7.57156i 0.267897 + 0.374848i
\(409\) −24.9795 8.11632i −1.23515 0.401326i −0.382575 0.923924i \(-0.624963\pi\)
−0.852579 + 0.522598i \(0.824963\pi\)
\(410\) −12.4395 + 4.48450i −0.614343 + 0.221474i
\(411\) 7.05464 2.29219i 0.347980 0.113065i
\(412\) 21.9636 5.76278i 1.08207 0.283912i
\(413\) −0.302737 0.594154i −0.0148967 0.0292364i
\(414\) 5.76225 8.82273i 0.283199 0.433613i
\(415\) 11.3983 7.97336i 0.559521 0.391397i
\(416\) 4.71282 + 0.308531i 0.231065 + 0.0151270i
\(417\) 1.46643 + 9.25868i 0.0718114 + 0.453399i
\(418\) 2.73568 + 0.294732i 0.133807 + 0.0144158i
\(419\) 27.5322 + 20.0033i 1.34504 + 0.977227i 0.999242 + 0.0389168i \(0.0123907\pi\)
0.345795 + 0.938310i \(0.387609\pi\)
\(420\) 0.509590 + 0.0385366i 0.0248654 + 0.00188039i
\(421\) −3.66642 + 2.66381i −0.178690 + 0.129826i −0.673535 0.739155i \(-0.735225\pi\)
0.494845 + 0.868981i \(0.335225\pi\)
\(422\) −5.09146 + 2.92191i −0.247848 + 0.142236i
\(423\) −1.53390 + 3.01046i −0.0745810 + 0.146373i
\(424\) 17.9707 + 35.9608i 0.872733 + 1.74641i
\(425\) −14.3816 7.98917i −0.697609 0.387532i
\(426\) −14.0096 17.3928i −0.678767 0.842683i
\(427\) 0.684195 + 0.348615i 0.0331105 + 0.0168706i
\(428\) 2.65207 6.80282i 0.128193 0.328827i
\(429\) −0.268868 0.370065i −0.0129811 0.0178669i
\(430\) 1.29260 10.2673i 0.0623347 0.495132i
\(431\) 6.87989 9.46936i 0.331393 0.456123i −0.610510 0.792009i \(-0.709036\pi\)
0.941903 + 0.335885i \(0.109036\pi\)
\(432\) −3.74904 + 1.39452i −0.180376 + 0.0670938i
\(433\) −16.1360 + 2.55570i −0.775448 + 0.122819i −0.531601 0.846995i \(-0.678409\pi\)
−0.243847 + 0.969814i \(0.578409\pi\)
\(434\) 0.135580 + 0.355964i 0.00650805 + 0.0170868i
\(435\) 10.4813 13.8958i 0.502539 0.666253i
\(436\) 10.1755 1.01597i 0.487318 0.0486560i
\(437\) −23.5767 + 12.0130i −1.12783 + 0.574657i
\(438\) 1.90555 + 0.854357i 0.0910509 + 0.0408228i
\(439\) −7.35130 22.6250i −0.350858 1.07983i −0.958372 0.285522i \(-0.907833\pi\)
0.607514 0.794309i \(-0.292167\pi\)
\(440\) 3.40737 + 0.629904i 0.162440 + 0.0300295i
\(441\) −2.15908 + 6.64498i −0.102814 + 0.316427i
\(442\) −2.60706 + 2.88032i −0.124005 + 0.137003i
\(443\) −28.7205 28.7205i −1.36455 1.36455i −0.868016 0.496536i \(-0.834605\pi\)
−0.496536 0.868016i \(-0.665395\pi\)
\(444\) −0.673338 + 0.599959i −0.0319552 + 0.0284728i
\(445\) 15.8368 + 16.4146i 0.750737 + 0.778128i
\(446\) 4.09829 15.1373i 0.194060 0.716773i
\(447\) 3.26074 20.5875i 0.154228 0.973755i
\(448\) 0.402261 + 0.820926i 0.0190051 + 0.0387851i
\(449\) 16.4871i 0.778074i 0.921222 + 0.389037i \(0.127192\pi\)
−0.921222 + 0.389037i \(0.872808\pi\)
\(450\) 4.92987 5.06916i 0.232396 0.238962i
\(451\) 2.29098i 0.107878i
\(452\) −23.9717 19.6194i −1.12754 0.922819i
\(453\) 3.03139 19.1394i 0.142427 0.899248i
\(454\) 12.2383 + 3.31340i 0.574370 + 0.155505i
\(455\) 0.0295932 + 0.211273i 0.00138735 + 0.00990463i
\(456\) 9.90797 + 1.64867i 0.463983 + 0.0772060i
\(457\) 12.2230 + 12.2230i 0.571769 + 0.571769i 0.932623 0.360853i \(-0.117514\pi\)
−0.360853 + 0.932623i \(0.617514\pi\)
\(458\) 19.9841 + 18.0881i 0.933793 + 0.845202i
\(459\) 1.01677 3.12929i 0.0474586 0.146063i
\(460\) −30.7475 + 12.8464i −1.43361 + 0.598968i
\(461\) 7.32565 + 22.5460i 0.341189 + 1.05007i 0.963592 + 0.267376i \(0.0861566\pi\)
−0.622403 + 0.782697i \(0.713843\pi\)
\(462\) 0.0362233 0.0807923i 0.00168526 0.00375880i
\(463\) 17.2393 8.78385i 0.801178 0.408220i −0.00493114 0.999988i \(-0.501570\pi\)
0.806109 + 0.591767i \(0.201570\pi\)
\(464\) 30.9298 + 3.57677i 1.43588 + 0.166047i
\(465\) 4.98252 + 1.71819i 0.231059 + 0.0796791i
\(466\) −27.0537 + 10.3042i −1.25324 + 0.477335i
\(467\) 25.3795 4.01972i 1.17442 0.186011i 0.461428 0.887178i \(-0.347337\pi\)
0.712997 + 0.701167i \(0.247337\pi\)
\(468\) −0.902136 1.40513i −0.0417012 0.0649520i
\(469\) −0.832936 + 1.14644i −0.0384614 + 0.0529376i
\(470\) 9.36064 5.15127i 0.431774 0.237610i
\(471\) 9.19205 + 12.6518i 0.423547 + 0.582963i
\(472\) −4.97765 15.7367i −0.229115 0.724338i
\(473\) −1.59748 0.813959i −0.0734524 0.0374259i
\(474\) −5.74212 + 4.62519i −0.263744 + 0.212442i
\(475\) −17.0725 + 4.87844i −0.783339 + 0.223838i
\(476\) −0.734736 0.160175i −0.0336765 0.00734159i
\(477\) 6.45267 12.6641i 0.295447 0.579848i
\(478\) 3.21536 + 5.60279i 0.147067 + 0.256266i
\(479\) 27.4905 19.9730i 1.25607 0.912590i 0.257515 0.966274i \(-0.417096\pi\)
0.998558 + 0.0536842i \(0.0170964\pi\)
\(480\) 12.2855 + 3.01123i 0.560752 + 0.137443i
\(481\) −0.304577 0.221288i −0.0138875 0.0100899i
\(482\) 2.74752 25.5022i 0.125146 1.16159i
\(483\) 0.133201 + 0.841001i 0.00606088 + 0.0382669i
\(484\) −10.7961 + 18.4767i −0.490734 + 0.839850i
\(485\) −1.12769 3.69460i −0.0512058 0.167763i
\(486\) 1.18405 + 0.773320i 0.0537096 + 0.0350785i
\(487\) −12.2987 24.1375i −0.557307 1.09378i −0.982078 0.188475i \(-0.939645\pi\)
0.424771 0.905301i \(-0.360355\pi\)
\(488\) 15.2888 + 11.2914i 0.692092 + 0.511138i
\(489\) −19.7691 + 6.42336i −0.893988 + 0.290474i
\(490\) 17.4524 13.5494i 0.788419 0.612101i
\(491\) 1.87731 + 0.609975i 0.0847218 + 0.0275278i 0.351071 0.936349i \(-0.385818\pi\)
−0.266349 + 0.963877i \(0.585818\pi\)
\(492\) −0.481154 + 8.34920i −0.0216921 + 0.376411i
\(493\) −18.1103 + 18.1103i −0.815647 + 0.815647i
\(494\) 0.208543 + 4.18776i 0.00938282 + 0.188416i
\(495\) −0.536540 1.10136i −0.0241157 0.0495024i
\(496\) 1.86410 + 9.24196i 0.0837004 + 0.414976i
\(497\) 1.78239 + 0.282303i 0.0799511 + 0.0126630i
\(498\) −1.80673 8.61011i −0.0809614 0.385828i
\(499\) 15.8221 0.708297 0.354148 0.935189i \(-0.384771\pi\)
0.354148 + 0.935189i \(0.384771\pi\)
\(500\) −21.9022 + 4.50487i −0.979496 + 0.201464i
\(501\) −17.1856 −0.767798
\(502\) 4.90870 + 23.3928i 0.219086 + 1.04407i
\(503\) −16.5176 2.61613i −0.736482 0.116647i −0.223086 0.974799i \(-0.571613\pi\)
−0.513397 + 0.858151i \(0.671613\pi\)
\(504\) 0.148980 0.286831i 0.00663609 0.0127764i
\(505\) −11.2354 23.0630i −0.499970 1.02629i
\(506\) 0.287151 + 5.76628i 0.0127654 + 0.256342i
\(507\) −8.69949 + 8.69949i −0.386358 + 0.386358i
\(508\) 21.1983 + 1.22164i 0.940524 + 0.0542013i
\(509\) −18.6546 6.06124i −0.826850 0.268660i −0.135132 0.990828i \(-0.543146\pi\)
−0.691718 + 0.722168i \(0.743146\pi\)
\(510\) −8.21878 + 6.38077i −0.363934 + 0.282545i
\(511\) −0.160484 + 0.0521444i −0.00709939 + 0.00230673i
\(512\) 6.48631 + 21.6778i 0.286657 + 0.958033i
\(513\) −1.61219 3.16411i −0.0711801 0.139699i
\(514\) 22.5700 + 14.7408i 0.995522 + 0.650189i
\(515\) 7.41134 + 24.2814i 0.326583 + 1.06997i
\(516\) −5.65090 3.30188i −0.248767 0.145357i
\(517\) −0.289581 1.82834i −0.0127358 0.0804104i
\(518\) 0.00780585 0.0724533i 0.000342969 0.00318341i
\(519\) −10.7499 7.81027i −0.471869 0.342833i
\(520\) −0.135806 + 5.27862i −0.00595548 + 0.231483i
\(521\) 18.9520 13.7694i 0.830303 0.603250i −0.0893421 0.996001i \(-0.528476\pi\)
0.919645 + 0.392751i \(0.128476\pi\)
\(522\) −5.47927 9.54767i −0.239821 0.417890i
\(523\) 0.561777 1.10255i 0.0245648 0.0482111i −0.878398 0.477930i \(-0.841387\pi\)
0.902963 + 0.429719i \(0.141387\pi\)
\(524\) 9.49333 43.5468i 0.414718 1.90235i
\(525\) −0.0204665 + 0.570999i −0.000893231 + 0.0249204i
\(526\) 15.5120 12.4947i 0.676357 0.544795i
\(527\) −6.91009 3.52086i −0.301008 0.153371i
\(528\) 1.21266 1.82544i 0.0527742 0.0794421i
\(529\) −19.1160 26.3109i −0.831129 1.14395i
\(530\) −39.3774 + 21.6698i −1.71044 + 0.941276i
\(531\) −3.42999 + 4.72098i −0.148849 + 0.204873i
\(532\) −0.682960 + 0.438482i −0.0296101 + 0.0190106i
\(533\) −3.44817 + 0.546137i −0.149357 + 0.0236558i
\(534\) 13.4809 5.13460i 0.583374 0.222196i
\(535\) 7.71735 + 2.66127i 0.333650 + 0.115057i
\(536\) −24.9945 + 24.6072i −1.07960 + 1.06287i
\(537\) −13.1983 + 6.72485i −0.569547 + 0.290199i
\(538\) −5.21727 + 11.6366i −0.224932 + 0.501688i
\(539\) −1.18292 3.64065i −0.0509520 0.156814i
\(540\) −1.72405 4.12646i −0.0741913 0.177574i
\(541\) 5.99846 18.4614i 0.257894 0.793716i −0.735352 0.677686i \(-0.762983\pi\)
0.993246 0.116030i \(-0.0370170\pi\)
\(542\) −11.6067 10.5055i −0.498550 0.451252i
\(543\) −1.99422 1.99422i −0.0855800 0.0855800i
\(544\) −17.2884 6.89582i −0.741233 0.295656i
\(545\) 1.58597 + 11.3226i 0.0679354 + 0.485007i
\(546\) 0.130236 + 0.0352603i 0.00557360 + 0.00150900i
\(547\) 0.958973 6.05472i 0.0410027 0.258881i −0.958668 0.284526i \(-0.908164\pi\)
0.999671 + 0.0256447i \(0.00816387\pi\)
\(548\) −9.39609 + 11.4805i −0.401381 + 0.490422i
\(549\) 6.71978i 0.286793i
\(550\) −0.552687 + 3.83447i −0.0235666 + 0.163503i
\(551\) 27.6421i 1.17759i
\(552\) −0.164553 + 21.0748i −0.00700385 + 0.897005i
\(553\) 0.0932005 0.588445i 0.00396329 0.0250232i
\(554\) −10.2466 + 37.8466i −0.435337 + 1.60795i
\(555\) −0.700090 0.725633i −0.0297172 0.0308014i
\(556\) −12.4723 13.9977i −0.528943 0.593636i
\(557\) −4.22564 4.22564i −0.179046 0.179046i 0.611894 0.790940i \(-0.290408\pi\)
−0.790940 + 0.611894i \(0.790408\pi\)
\(558\) 2.23687 2.47133i 0.0946944 0.104620i
\(559\) 0.844279 2.59842i 0.0357092 0.109902i
\(560\) −0.899274 + 0.485772i −0.0380013 + 0.0205276i
\(561\) 0.557067 + 1.71448i 0.0235194 + 0.0723852i
\(562\) −12.6947 5.69168i −0.535494 0.240089i
\(563\) −7.19657 + 3.66683i −0.303299 + 0.154539i −0.599016 0.800737i \(-0.704441\pi\)
0.295717 + 0.955276i \(0.404441\pi\)
\(564\) −0.671353 6.72400i −0.0282691 0.283131i
\(565\) 20.8555 27.6497i 0.877398 1.16323i
\(566\) 7.66078 + 20.1133i 0.322006 + 0.845426i
\(567\) −0.112866 + 0.0178763i −0.00473994 + 0.000750732i
\(568\) 42.3715 + 14.1340i 1.77787 + 0.593050i
\(569\) 20.6135 28.3720i 0.864161 1.18942i −0.116400 0.993202i \(-0.537135\pi\)
0.980561 0.196214i \(-0.0628646\pi\)
\(570\) −1.40270 + 11.1418i −0.0587527 + 0.466679i
\(571\) 5.87123 + 8.08106i 0.245703 + 0.338182i 0.914001 0.405713i \(-0.132977\pi\)
−0.668297 + 0.743894i \(0.732977\pi\)
\(572\) 0.852368 + 0.332294i 0.0356393 + 0.0138939i
\(573\) −0.618018 0.314896i −0.0258181 0.0131550i
\(574\) −0.423903 0.526271i −0.0176934 0.0219661i
\(575\) −15.7142 33.7804i −0.655327 1.40874i
\(576\) 4.80277 6.39792i 0.200115 0.266580i
\(577\) −12.4104 + 24.3568i −0.516651 + 1.01399i 0.474376 + 0.880323i \(0.342674\pi\)
−0.991027 + 0.133663i \(0.957326\pi\)
\(578\) −7.57259 + 4.34580i −0.314978 + 0.180761i
\(579\) −0.735876 + 0.534645i −0.0305820 + 0.0222191i
\(580\) −2.62501 + 34.7119i −0.108998 + 1.44133i
\(581\) 0.575112 + 0.417843i 0.0238597 + 0.0173351i
\(582\) −2.42903 0.261695i −0.100687 0.0108476i
\(583\) 1.21818 + 7.69128i 0.0504518 + 0.318540i
\(584\) −4.13019 + 0.621141i −0.170908 + 0.0257030i
\(585\) 1.52976 1.07010i 0.0632478 0.0442432i
\(586\) 20.2902 31.0668i 0.838179 1.28336i
\(587\) 16.2223 + 31.8381i 0.669566 + 1.31410i 0.936597 + 0.350409i \(0.113958\pi\)
−0.267030 + 0.963688i \(0.586042\pi\)
\(588\) −3.54640 13.5164i −0.146251 0.557406i
\(589\) −7.96049 + 2.58652i −0.328006 + 0.106576i
\(590\) 17.3597 6.25825i 0.714687 0.257648i
\(591\) −4.51755 1.46784i −0.185827 0.0603789i
\(592\) 0.484944 1.73729i 0.0199311 0.0714021i
\(593\) −12.3866 + 12.3866i −0.508656 + 0.508656i −0.914114 0.405458i \(-0.867112\pi\)
0.405458 + 0.914114i \(0.367112\pi\)
\(594\) −0.773861 + 0.0385370i −0.0317519 + 0.00158119i
\(595\) 0.146377 0.827913i 0.00600086 0.0339411i
\(596\) 16.7577 + 38.1719i 0.686421 + 1.56358i
\(597\) 17.6333 + 2.79284i 0.721683 + 0.114303i
\(598\) −8.61043 + 1.80679i −0.352107 + 0.0738853i
\(599\) 10.8175 0.441989 0.220995 0.975275i \(-0.429070\pi\)
0.220995 + 0.975275i \(0.429070\pi\)
\(600\) −2.81952 + 13.8582i −0.115107 + 0.565759i
\(601\) 11.1241 0.453761 0.226881 0.973923i \(-0.427147\pi\)
0.226881 + 0.973923i \(0.427147\pi\)
\(602\) 0.517573 0.108606i 0.0210947 0.00442647i
\(603\) 12.2481 + 1.93991i 0.498782 + 0.0789992i
\(604\) 15.5790 + 35.4869i 0.633899 + 1.44394i
\(605\) −21.1198 11.2421i −0.858643 0.457056i
\(606\) −16.2050 + 0.806984i −0.658285 + 0.0327815i
\(607\) 23.0754 23.0754i 0.936602 0.936602i −0.0615046 0.998107i \(-0.519590\pi\)
0.998107 + 0.0615046i \(0.0195899\pi\)
\(608\) −18.4564 + 7.93119i −0.748507 + 0.321652i
\(609\) 0.845963 + 0.274870i 0.0342802 + 0.0111383i
\(610\) −11.9366 + 17.5804i −0.483301 + 0.711810i
\(611\) 2.68282 0.871702i 0.108535 0.0352653i
\(612\) 1.67009 + 6.36521i 0.0675094 + 0.257298i
\(613\) −14.3058 28.0768i −0.577807 1.13401i −0.976215 0.216802i \(-0.930437\pi\)
0.398408 0.917208i \(-0.369563\pi\)
\(614\) 8.30997 12.7236i 0.335363 0.513483i
\(615\) −9.34868 0.167490i −0.376975 0.00675385i
\(616\) 0.0263353 + 0.175113i 0.00106108 + 0.00705550i
\(617\) 2.38218 + 15.0405i 0.0959030 + 0.605508i 0.988094 + 0.153850i \(0.0491672\pi\)
−0.892191 + 0.451658i \(0.850833\pi\)
\(618\) 15.9639 + 1.71990i 0.642164 + 0.0691844i
\(619\) 16.5938 + 12.0561i 0.666962 + 0.484576i 0.869007 0.494800i \(-0.164759\pi\)
−0.202045 + 0.979376i \(0.564759\pi\)
\(620\) −10.2421 + 2.49209i −0.411332 + 0.100085i
\(621\) 6.02824 4.37977i 0.241905 0.175754i
\(622\) 24.3723 13.9869i 0.977238 0.560823i
\(623\) −0.529187 + 1.03859i −0.0212014 + 0.0416102i
\(624\) 3.03657 + 1.39002i 0.121560 + 0.0556455i
\(625\) −6.00334 24.2685i −0.240133 0.970740i
\(626\) 2.34457 + 2.91076i 0.0937080 + 0.116338i
\(627\) 1.73355 + 0.883290i 0.0692314 + 0.0352752i
\(628\) −29.1408 11.3605i −1.16284 0.453332i
\(629\) 0.872093 + 1.20033i 0.0347726 + 0.0478604i
\(630\) 0.327037 + 0.153721i 0.0130295 + 0.00612440i
\(631\) −15.9680 + 21.9780i −0.635675 + 0.874931i −0.998376 0.0569743i \(-0.981855\pi\)
0.362701 + 0.931906i \(0.381855\pi\)
\(632\) 4.66626 13.9887i 0.185614 0.556440i
\(633\) −4.09983 + 0.649349i −0.162954 + 0.0258093i
\(634\) −6.81917 17.9037i −0.270824 0.711046i
\(635\) −0.425251 + 23.7360i −0.0168756 + 0.941934i
\(636\) 2.82418 + 28.2858i 0.111986 + 1.12161i
\(637\) 5.19759 2.64830i 0.205936 0.104930i
\(638\) 5.50335 + 2.46743i 0.217880 + 0.0976866i
\(639\) −4.88001 15.0191i −0.193050 0.594148i
\(640\) −23.9300 + 8.20697i −0.945917 + 0.324409i
\(641\) 11.5391 35.5136i 0.455765 1.40270i −0.414469 0.910063i \(-0.636033\pi\)
0.870234 0.492638i \(-0.163967\pi\)
\(642\) 3.46465 3.82781i 0.136739 0.151072i
\(643\) −32.3947 32.3947i −1.27752 1.27752i −0.942051 0.335471i \(-0.891105\pi\)
−0.335471 0.942051i \(-0.608895\pi\)
\(644\) −1.13291 1.27147i −0.0446427 0.0501028i
\(645\) 3.43827 6.45927i 0.135382 0.254333i
\(646\) 4.31835 15.9501i 0.169903 0.627549i
\(647\) 1.56537 9.88334i 0.0615410 0.388554i −0.937622 0.347656i \(-0.886978\pi\)
0.999163 0.0408988i \(-0.0130221\pi\)
\(648\) −2.82834 0.0220838i −0.111108 0.000867533i
\(649\) 3.19713i 0.125498i
\(650\) −5.90306 + 0.0822307i −0.231537 + 0.00322535i
\(651\) 0.269344i 0.0105564i
\(652\) 26.3305 32.1716i 1.03118 1.25994i
\(653\) 3.02216 19.0811i 0.118266 0.746703i −0.855272 0.518179i \(-0.826610\pi\)
0.973538 0.228524i \(-0.0733899\pi\)
\(654\) 6.97966 + 1.88968i 0.272926 + 0.0738922i
\(655\) 49.0692 + 8.67554i 1.91729 + 0.338981i
\(656\) −8.21181 14.5715i −0.320617 0.568922i
\(657\) 1.04416 + 1.04416i 0.0407365 + 0.0407365i
\(658\) 0.404822 + 0.366415i 0.0157816 + 0.0142844i
\(659\) 9.26020 28.5000i 0.360726 1.11020i −0.591888 0.806020i \(-0.701617\pi\)
0.952614 0.304181i \(-0.0983828\pi\)
\(660\) 2.09304 + 1.27382i 0.0814716 + 0.0495835i
\(661\) −11.0378 33.9707i −0.429319 1.32131i −0.898797 0.438365i \(-0.855558\pi\)
0.469478 0.882944i \(-0.344442\pi\)
\(662\) −1.72078 + 3.83801i −0.0668798 + 0.149169i
\(663\) −2.44768 + 1.24715i −0.0950599 + 0.0484355i
\(664\) 12.3442 + 12.5385i 0.479048 + 0.486588i
\(665\) −0.520122 0.743539i −0.0201694 0.0288332i
\(666\) −0.595942 + 0.226983i −0.0230923 + 0.00879540i
\(667\) −57.2867 + 9.07332i −2.21815 + 0.351320i
\(668\) 28.9232 18.5696i 1.11907 0.718481i
\(669\) 6.51799 8.97124i 0.252000 0.346848i
\(670\) −28.5978 26.8321i −1.10483 1.03661i
\(671\) 2.16401 + 2.97851i 0.0835407 + 0.114984i
\(672\) 0.0591985 + 0.643710i 0.00228363 + 0.0248317i
\(673\) 14.5989 + 7.43852i 0.562747 + 0.286734i 0.712133 0.702045i \(-0.247729\pi\)
−0.149385 + 0.988779i \(0.547729\pi\)
\(674\) −9.49472 + 7.64784i −0.365723 + 0.294584i
\(675\) 4.53348 2.10892i 0.174494 0.0811722i
\(676\) 5.24106 24.0412i 0.201579 0.924663i
\(677\) −19.3278 + 37.9329i −0.742827 + 1.45788i 0.140973 + 0.990013i \(0.454977\pi\)
−0.883800 + 0.467866i \(0.845023\pi\)
\(678\) −10.9026 18.9978i −0.418710 0.729606i
\(679\) 0.159708 0.116035i 0.00612903 0.00445300i
\(680\) 6.93749 19.6194i 0.266041 0.752370i
\(681\) 7.25309 + 5.26968i 0.277939 + 0.201935i
\(682\) −0.195623 + 1.81576i −0.00749080 + 0.0695290i
\(683\) −4.71709 29.7825i −0.180494 1.13960i −0.897005 0.442020i \(-0.854262\pi\)
0.716511 0.697576i \(-0.245738\pi\)
\(684\) 6.13222 + 3.58313i 0.234471 + 0.137004i
\(685\) −13.2419 9.98807i −0.505948 0.381625i
\(686\) 1.89251 + 1.23602i 0.0722562 + 0.0471915i
\(687\) 8.65291 + 16.9823i 0.330129 + 0.647915i
\(688\) 13.0782 0.548944i 0.498601 0.0209283i
\(689\) −11.2858 + 3.66698i −0.429955 + 0.139701i
\(690\) −23.5512 + 0.750200i −0.896577 + 0.0285596i
\(691\) 21.6237 + 7.02595i 0.822603 + 0.267280i 0.689926 0.723880i \(-0.257643\pi\)
0.132676 + 0.991159i \(0.457643\pi\)
\(692\) 26.5312 + 1.52896i 1.00857 + 0.0581225i
\(693\) 0.0442706 0.0442706i 0.00168170 0.00168170i
\(694\) −2.04915 41.1490i −0.0777848 1.56200i
\(695\) 15.0849 14.5539i 0.572201 0.552059i
\(696\) 19.5381 + 10.1481i 0.740590 + 0.384662i
\(697\) 13.5892 + 2.15232i 0.514728 + 0.0815249i
\(698\) −7.17401 34.1883i −0.271540 1.29405i
\(699\) −20.4705 −0.774265
\(700\) −0.582538 0.983099i −0.0220179 0.0371577i
\(701\) 24.5720 0.928072 0.464036 0.885816i \(-0.346401\pi\)
0.464036 + 0.885816i \(0.346401\pi\)
\(702\) −0.242480 1.15556i −0.00915182 0.0436138i
\(703\) 1.58159 + 0.250500i 0.0596510 + 0.00944778i
\(704\) −0.0684418 + 4.38251i −0.00257950 + 0.165172i
\(705\) 7.48200 1.04801i 0.281788 0.0394704i
\(706\) 0.408385 + 8.20078i 0.0153698 + 0.308640i
\(707\) 0.927047 0.927047i 0.0348652 0.0348652i
\(708\) 0.671465 11.6516i 0.0252352 0.437892i
\(709\) 23.7263 + 7.70913i 0.891059 + 0.289522i 0.718542 0.695484i \(-0.244810\pi\)
0.172517 + 0.985007i \(0.444810\pi\)
\(710\) −13.9120 + 47.9619i −0.522108 + 1.79998i
\(711\) −4.95848 + 1.61111i −0.185957 + 0.0604212i
\(712\) −17.1400 + 23.2080i −0.642350 + 0.869756i
\(713\) −7.97338 15.6486i −0.298606 0.586046i
\(714\) −0.445198 0.290765i −0.0166611 0.0108816i
\(715\) −0.333448 + 0.966955i −0.0124702 + 0.0361621i
\(716\) 14.9461 25.5790i 0.558562 0.955932i
\(717\) 0.714563 + 4.51157i 0.0266859 + 0.168488i
\(718\) 2.25914 20.9692i 0.0843104 0.782563i
\(719\) −40.3089 29.2861i −1.50327 1.09219i −0.969057 0.246836i \(-0.920609\pi\)
−0.534210 0.845352i \(-0.679391\pi\)
\(720\) 7.36033 + 5.08189i 0.274303 + 0.189391i
\(721\) −1.04962 + 0.762595i −0.0390900 + 0.0284005i
\(722\) 4.49750 + 7.83694i 0.167380 + 0.291661i
\(723\) 8.23409 16.1603i 0.306229 0.601009i
\(724\) 5.51106 + 1.20143i 0.204817 + 0.0446507i
\(725\) −38.8949 1.39412i −1.44452 0.0517763i
\(726\) −11.7844 + 9.49214i −0.437360 + 0.352286i
\(727\) 12.3755 + 6.30561i 0.458981 + 0.233862i 0.668164 0.744014i \(-0.267081\pi\)
−0.209183 + 0.977876i \(0.567081\pi\)
\(728\) −0.257286 + 0.0813820i −0.00953566 + 0.00301622i
\(729\) 0.587785 + 0.809017i 0.0217698 + 0.0299636i
\(730\) −0.876959 4.58653i −0.0324577 0.169755i
\(731\) −6.32889 + 8.71097i −0.234082 + 0.322187i
\(732\) 7.26094 + 11.3093i 0.268372 + 0.418004i
\(733\) −20.2370 + 3.20522i −0.747470 + 0.118388i −0.518538 0.855055i \(-0.673523\pi\)
−0.228932 + 0.973442i \(0.573523\pi\)
\(734\) 26.3746 10.0456i 0.973504 0.370789i
\(735\) 14.9427 4.56092i 0.551170 0.168232i
\(736\) −22.4951 35.6465i −0.829181 1.31395i
\(737\) −6.05363 + 3.08448i −0.222988 + 0.113618i
\(738\) −2.41932 + 5.39604i −0.0890564 + 0.198631i
\(739\) 0.864509 + 2.66068i 0.0318015 + 0.0978749i 0.965697 0.259670i \(-0.0836139\pi\)
−0.933896 + 0.357545i \(0.883614\pi\)
\(740\) 1.96231 + 0.464762i 0.0721361 + 0.0170850i
\(741\) −0.916193 + 2.81975i −0.0336572 + 0.103586i
\(742\) −1.70296 1.54140i −0.0625177 0.0565865i
\(743\) −12.0348 12.0348i −0.441514 0.441514i 0.451007 0.892520i \(-0.351065\pi\)
−0.892520 + 0.451007i \(0.851065\pi\)
\(744\) −1.09427 + 6.57624i −0.0401181 + 0.241097i
\(745\) −41.9012 + 20.4127i −1.53514 + 0.747863i
\(746\) −46.1814 12.5032i −1.69082 0.457774i
\(747\) 0.973158 6.14428i 0.0356060 0.224807i
\(748\) −2.79008 2.28351i −0.102016 0.0834936i
\(749\) 0.417182i 0.0152435i
\(750\) −15.6067 2.53565i −0.569878 0.0925890i
\(751\) 15.7846i 0.575988i −0.957632 0.287994i \(-0.907012\pi\)
0.957632 0.287994i \(-0.0929883\pi\)
\(752\) 8.39538 + 10.5910i 0.306148 + 0.386214i
\(753\) −2.64398 + 16.6934i −0.0963518 + 0.608341i
\(754\) −2.40183 + 8.87135i −0.0874697 + 0.323075i
\(755\) −38.9539 + 18.9769i −1.41768 + 0.690640i
\(756\) 0.170637 0.152041i 0.00620600 0.00552968i
\(757\) 29.9500 + 29.9500i 1.08855 + 1.08855i 0.995678 + 0.0928725i \(0.0296049\pi\)
0.0928725 + 0.995678i \(0.470395\pi\)
\(758\) 12.9546 14.3125i 0.470533 0.519853i
\(759\) −1.26154 + 3.88262i −0.0457910 + 0.140930i
\(760\) −9.67836 20.2672i −0.351071 0.735168i
\(761\) 2.86616 + 8.82112i 0.103898 + 0.319765i 0.989470 0.144736i \(-0.0462334\pi\)
−0.885572 + 0.464502i \(0.846233\pi\)
\(762\) 13.7004 + 6.14257i 0.496312 + 0.222522i
\(763\) −0.520601 + 0.265259i −0.0188470 + 0.00960304i
\(764\) 1.38037 0.137822i 0.0499401 0.00498624i
\(765\) −7.03691 + 2.14785i −0.254420 + 0.0776558i
\(766\) −10.7148 28.1315i −0.387140 1.01643i
\(767\) 4.81203 0.762150i 0.173752 0.0275197i
\(768\) −1.16985 + 15.9572i −0.0422133 + 0.575805i
\(769\) −4.01537 + 5.52668i −0.144798 + 0.199297i −0.875256 0.483661i \(-0.839307\pi\)
0.730458 + 0.682958i \(0.239307\pi\)
\(770\) −0.194461 + 0.0371816i −0.00700790 + 0.00133993i
\(771\) 11.2042 + 15.4213i 0.403509 + 0.555383i
\(772\) 0.660769 1.69494i 0.0237816 0.0610022i
\(773\) 9.38905 + 4.78396i 0.337701 + 0.172067i 0.614614