Properties

Label 29.3.f.a.19.1
Level $29$
Weight $3$
Character 29.19
Analytic conductor $0.790$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 29 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 29.f (of order \(28\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.790192766645\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(4\) over \(\Q(\zeta_{28})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label 19.1
Character \(\chi\) \(=\) 29.19
Dual form 29.3.f.a.26.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.63282 - 2.59861i) q^{2} +(0.532023 - 1.52043i) q^{3} +(-2.35117 + 4.88225i) q^{4} +(-4.43970 - 1.01333i) q^{5} +(-4.81972 + 1.10007i) q^{6} +(10.7635 - 5.18344i) q^{7} +(4.32723 - 0.487562i) q^{8} +(5.00781 + 3.99360i) q^{9} +O(q^{10})\) \(q+(-1.63282 - 2.59861i) q^{2} +(0.532023 - 1.52043i) q^{3} +(-2.35117 + 4.88225i) q^{4} +(-4.43970 - 1.01333i) q^{5} +(-4.81972 + 1.10007i) q^{6} +(10.7635 - 5.18344i) q^{7} +(4.32723 - 0.487562i) q^{8} +(5.00781 + 3.99360i) q^{9} +(4.61596 + 13.1917i) q^{10} +(2.90150 + 0.326920i) q^{11} +(6.17226 + 6.17226i) q^{12} +(2.24911 - 1.79360i) q^{13} +(-31.0446 - 19.5066i) q^{14} +(-3.90273 + 6.21115i) q^{15} +(5.18193 + 6.49794i) q^{16} +(2.44971 - 2.44971i) q^{17} +(2.20098 - 19.5342i) q^{18} +(-31.9711 + 11.1872i) q^{19} +(15.3858 - 19.2932i) q^{20} +(-2.15463 - 19.1229i) q^{21} +(-3.88808 - 8.07367i) q^{22} +(9.24886 + 40.5219i) q^{23} +(1.56088 - 6.83866i) q^{24} +(-3.84011 - 1.84930i) q^{25} +(-8.33326 - 2.91593i) q^{26} +(21.0116 - 13.2025i) q^{27} +64.7374i q^{28} +(18.6826 - 22.1802i) q^{29} +22.5128 q^{30} +(7.40308 + 11.7819i) q^{31} +(14.1774 - 40.5168i) q^{32} +(2.04072 - 4.23760i) q^{33} +(-10.3658 - 2.36592i) q^{34} +(-53.0394 + 12.1059i) q^{35} +(-31.2720 + 15.0598i) q^{36} +(-19.6990 + 2.21954i) q^{37} +(81.2741 + 64.8140i) q^{38} +(-1.53048 - 4.37385i) q^{39} +(-19.7057 - 2.22030i) q^{40} +(-15.2314 - 15.2314i) q^{41} +(-46.1750 + 36.8233i) q^{42} +(1.58568 + 0.996350i) q^{43} +(-8.41802 + 13.3972i) q^{44} +(-18.1864 - 22.8050i) q^{45} +(90.1991 - 90.1991i) q^{46} +(-0.858173 + 7.61650i) q^{47} +(12.6366 - 4.42173i) q^{48} +(58.4343 - 73.2743i) q^{49} +(1.46458 + 12.9985i) q^{50} +(-2.42132 - 5.02792i) q^{51} +(3.46879 + 15.1978i) q^{52} +(-7.13045 + 31.2406i) q^{53} +(-68.6163 - 33.0438i) q^{54} +(-12.5505 - 4.39161i) q^{55} +(44.0490 - 27.6778i) q^{56} +54.5618i q^{57} +(-88.1430 - 12.3325i) q^{58} -9.47914 q^{59} +(-21.1485 - 33.6576i) q^{60} +(-19.5711 + 55.9310i) q^{61} +(18.5288 - 38.4755i) q^{62} +(74.6023 + 17.0275i) q^{63} +(-96.0255 + 21.9172i) q^{64} +(-11.8029 + 5.68397i) q^{65} +(-14.3440 + 1.61618i) q^{66} +(-45.3801 - 36.1895i) q^{67} +(6.20042 + 17.7198i) q^{68} +(66.5314 + 7.49629i) q^{69} +(118.062 + 118.062i) q^{70} +(-61.2373 + 48.8352i) q^{71} +(23.6171 + 14.8396i) q^{72} +(40.7753 - 64.8935i) q^{73} +(37.9326 + 47.5659i) q^{74} +(-4.85476 + 4.85476i) q^{75} +(20.5509 - 182.394i) q^{76} +(32.9249 - 11.5209i) q^{77} +(-8.86697 + 11.1188i) q^{78} +(10.0312 + 89.0291i) q^{79} +(-16.4217 - 34.0999i) q^{80} +(3.93287 + 17.2310i) q^{81} +(-14.7104 + 64.4505i) q^{82} +(42.5654 + 20.4984i) q^{83} +(98.4288 + 34.4417i) q^{84} +(-13.3584 + 8.39361i) q^{85} -5.74743i q^{86} +(-23.7840 - 40.2060i) q^{87} +12.7148 q^{88} +(-31.5692 - 50.2421i) q^{89} +(-29.5663 + 84.4957i) q^{90} +(14.9113 - 30.9636i) q^{91} +(-219.584 - 50.1186i) q^{92} +(21.8523 - 4.98764i) q^{93} +(21.1936 - 10.2063i) q^{94} +(153.279 - 17.2703i) q^{95} +(-54.0603 - 43.1117i) q^{96} +(-41.8847 - 119.700i) q^{97} +(-285.824 - 32.2047i) q^{98} +(13.2246 + 13.2246i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} + O(q^{10}) \) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} - 20q^{10} - 8q^{11} - 68q^{12} - 14q^{13} + 26q^{14} - 4q^{15} + 18q^{16} - 26q^{17} - 34q^{18} + 2q^{19} + 46q^{20} + 218q^{21} + 154q^{22} + 56q^{23} + 154q^{24} - 34q^{25} + 110q^{26} + 126q^{27} - 170q^{29} + 24q^{30} - 88q^{31} - 132q^{32} - 224q^{33} - 224q^{34} - 210q^{35} - 434q^{36} - 56q^{37} - 294q^{38} - 232q^{39} - 492q^{40} - 34q^{41} - 14q^{42} + 176q^{43} + 126q^{44} + 114q^{45} + 744q^{46} + 208q^{47} + 640q^{48} + 506q^{49} + 732q^{50} + 322q^{51} + 690q^{52} - 14q^{53} - 36q^{54} + 284q^{55} + 332q^{56} - 508q^{58} - 44q^{59} - 316q^{60} - 30q^{61} - 504q^{62} - 686q^{63} - 896q^{64} - 554q^{65} - 608q^{66} - 574q^{67} - 796q^{68} - 806q^{69} - 1066q^{70} + 224q^{71} + 748q^{72} - 22q^{73} + 820q^{74} + 768q^{75} + 514q^{76} + 436q^{77} + 282q^{78} + 564q^{79} + 1162q^{80} + 670q^{81} - 18q^{82} - 126q^{83} + 572q^{84} + 38q^{85} - 118q^{87} - 384q^{88} - 160q^{89} - 828q^{90} - 434q^{91} - 1022q^{92} - 406q^{93} - 2q^{94} - 642q^{95} - 1176q^{96} + 604q^{97} - 102q^{98} + 316q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{9}{28}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.63282 2.59861i −0.816409 1.29931i −0.951244 0.308439i \(-0.900193\pi\)
0.134835 0.990868i \(-0.456950\pi\)
\(3\) 0.532023 1.52043i 0.177341 0.506811i −0.820561 0.571559i \(-0.806339\pi\)
0.997902 + 0.0647482i \(0.0206244\pi\)
\(4\) −2.35117 + 4.88225i −0.587792 + 1.22056i
\(5\) −4.43970 1.01333i −0.887940 0.202667i −0.245861 0.969305i \(-0.579071\pi\)
−0.642079 + 0.766638i \(0.721928\pi\)
\(6\) −4.81972 + 1.10007i −0.803286 + 0.183345i
\(7\) 10.7635 5.18344i 1.53765 0.740491i 0.542607 0.839986i \(-0.317437\pi\)
0.995038 + 0.0994954i \(0.0317229\pi\)
\(8\) 4.32723 0.487562i 0.540904 0.0609452i
\(9\) 5.00781 + 3.99360i 0.556424 + 0.443733i
\(10\) 4.61596 + 13.1917i 0.461596 + 1.31917i
\(11\) 2.90150 + 0.326920i 0.263772 + 0.0297200i 0.242860 0.970061i \(-0.421914\pi\)
0.0209122 + 0.999781i \(0.493343\pi\)
\(12\) 6.17226 + 6.17226i 0.514355 + 0.514355i
\(13\) 2.24911 1.79360i 0.173008 0.137969i −0.533158 0.846016i \(-0.678995\pi\)
0.706166 + 0.708046i \(0.250423\pi\)
\(14\) −31.0446 19.5066i −2.21747 1.39333i
\(15\) −3.90273 + 6.21115i −0.260182 + 0.414077i
\(16\) 5.18193 + 6.49794i 0.323871 + 0.406121i
\(17\) 2.44971 2.44971i 0.144101 0.144101i −0.631376 0.775477i \(-0.717510\pi\)
0.775477 + 0.631376i \(0.217510\pi\)
\(18\) 2.20098 19.5342i 0.122276 1.08523i
\(19\) −31.9711 + 11.1872i −1.68269 + 0.588799i −0.991056 0.133450i \(-0.957395\pi\)
−0.691634 + 0.722248i \(0.743109\pi\)
\(20\) 15.3858 19.2932i 0.769292 0.964662i
\(21\) −2.15463 19.1229i −0.102602 0.910615i
\(22\) −3.88808 8.07367i −0.176731 0.366985i
\(23\) 9.24886 + 40.5219i 0.402124 + 1.76182i 0.618771 + 0.785571i \(0.287631\pi\)
−0.216647 + 0.976250i \(0.569512\pi\)
\(24\) 1.56088 6.83866i 0.0650366 0.284944i
\(25\) −3.84011 1.84930i −0.153604 0.0739720i
\(26\) −8.33326 2.91593i −0.320510 0.112151i
\(27\) 21.0116 13.2025i 0.778208 0.488980i
\(28\) 64.7374i 2.31205i
\(29\) 18.6826 22.1802i 0.644226 0.764835i
\(30\) 22.5128 0.750428
\(31\) 7.40308 + 11.7819i 0.238809 + 0.380063i 0.944529 0.328429i \(-0.106519\pi\)
−0.705720 + 0.708491i \(0.749376\pi\)
\(32\) 14.1774 40.5168i 0.443045 1.26615i
\(33\) 2.04072 4.23760i 0.0618400 0.128412i
\(34\) −10.3658 2.36592i −0.304876 0.0695860i
\(35\) −53.0394 + 12.1059i −1.51541 + 0.345883i
\(36\) −31.2720 + 15.0598i −0.868666 + 0.418328i
\(37\) −19.6990 + 2.21954i −0.532405 + 0.0599876i −0.374075 0.927399i \(-0.622040\pi\)
−0.158330 + 0.987386i \(0.550611\pi\)
\(38\) 81.2741 + 64.8140i 2.13879 + 1.70563i
\(39\) −1.53048 4.37385i −0.0392430 0.112150i
\(40\) −19.7057 2.22030i −0.492642 0.0555074i
\(41\) −15.2314 15.2314i −0.371497 0.371497i 0.496526 0.868022i \(-0.334609\pi\)
−0.868022 + 0.496526i \(0.834609\pi\)
\(42\) −46.1750 + 36.8233i −1.09940 + 0.876745i
\(43\) 1.58568 + 0.996350i 0.0368763 + 0.0231709i 0.550344 0.834938i \(-0.314497\pi\)
−0.513468 + 0.858109i \(0.671639\pi\)
\(44\) −8.41802 + 13.3972i −0.191319 + 0.304482i
\(45\) −18.1864 22.8050i −0.404141 0.506777i
\(46\) 90.1991 90.1991i 1.96085 1.96085i
\(47\) −0.858173 + 7.61650i −0.0182590 + 0.162053i −0.999533 0.0305651i \(-0.990269\pi\)
0.981274 + 0.192618i \(0.0616979\pi\)
\(48\) 12.6366 4.42173i 0.263262 0.0921195i
\(49\) 58.4343 73.2743i 1.19254 1.49539i
\(50\) 1.46458 + 12.9985i 0.0292917 + 0.259971i
\(51\) −2.42132 5.02792i −0.0474769 0.0985867i
\(52\) 3.46879 + 15.1978i 0.0667075 + 0.292265i
\(53\) −7.13045 + 31.2406i −0.134537 + 0.589445i 0.862045 + 0.506832i \(0.169184\pi\)
−0.996582 + 0.0826126i \(0.973674\pi\)
\(54\) −68.6163 33.0438i −1.27067 0.611923i
\(55\) −12.5505 4.39161i −0.228191 0.0798475i
\(56\) 44.0490 27.6778i 0.786589 0.494246i
\(57\) 54.5618i 0.957224i
\(58\) −88.1430 12.3325i −1.51971 0.212630i
\(59\) −9.47914 −0.160663 −0.0803317 0.996768i \(-0.525598\pi\)
−0.0803317 + 0.996768i \(0.525598\pi\)
\(60\) −21.1485 33.6576i −0.352474 0.560960i
\(61\) −19.5711 + 55.9310i −0.320838 + 0.916902i 0.664650 + 0.747155i \(0.268581\pi\)
−0.985488 + 0.169747i \(0.945705\pi\)
\(62\) 18.5288 38.4755i 0.298852 0.620573i
\(63\) 74.6023 + 17.0275i 1.18416 + 0.270277i
\(64\) −96.0255 + 21.9172i −1.50040 + 0.342456i
\(65\) −11.8029 + 5.68397i −0.181583 + 0.0874457i
\(66\) −14.3440 + 1.61618i −0.217334 + 0.0244876i
\(67\) −45.3801 36.1895i −0.677315 0.540141i 0.223304 0.974749i \(-0.428316\pi\)
−0.900620 + 0.434608i \(0.856887\pi\)
\(68\) 6.20042 + 17.7198i 0.0911827 + 0.260585i
\(69\) 66.5314 + 7.49629i 0.964223 + 0.108642i
\(70\) 118.062 + 118.062i 1.68660 + 1.68660i
\(71\) −61.2373 + 48.8352i −0.862498 + 0.687819i −0.951312 0.308229i \(-0.900264\pi\)
0.0888143 + 0.996048i \(0.471692\pi\)
\(72\) 23.6171 + 14.8396i 0.328015 + 0.206106i
\(73\) 40.7753 64.8935i 0.558566 0.888952i −0.441399 0.897311i \(-0.645518\pi\)
0.999965 + 0.00835868i \(0.00266068\pi\)
\(74\) 37.9326 + 47.5659i 0.512602 + 0.642783i
\(75\) −4.85476 + 4.85476i −0.0647301 + 0.0647301i
\(76\) 20.5509 182.394i 0.270406 2.39992i
\(77\) 32.9249 11.5209i 0.427596 0.149622i
\(78\) −8.86697 + 11.1188i −0.113679 + 0.142549i
\(79\) 10.0312 + 89.0291i 0.126977 + 1.12695i 0.881999 + 0.471252i \(0.156198\pi\)
−0.755022 + 0.655700i \(0.772374\pi\)
\(80\) −16.4217 34.0999i −0.205271 0.426249i
\(81\) 3.93287 + 17.2310i 0.0485539 + 0.212729i
\(82\) −14.7104 + 64.4505i −0.179395 + 0.785981i
\(83\) 42.5654 + 20.4984i 0.512836 + 0.246969i 0.672359 0.740225i \(-0.265281\pi\)
−0.159523 + 0.987194i \(0.550996\pi\)
\(84\) 98.4288 + 34.4417i 1.17177 + 0.410021i
\(85\) −13.3584 + 8.39361i −0.157157 + 0.0987484i
\(86\) 5.74743i 0.0668306i
\(87\) −23.7840 40.2060i −0.273379 0.462137i
\(88\) 12.7148 0.144487
\(89\) −31.5692 50.2421i −0.354710 0.564518i 0.620938 0.783860i \(-0.286752\pi\)
−0.975648 + 0.219342i \(0.929609\pi\)
\(90\) −29.5663 + 84.4957i −0.328515 + 0.938841i
\(91\) 14.9113 30.9636i 0.163860 0.340259i
\(92\) −219.584 50.1186i −2.38678 0.544767i
\(93\) 21.8523 4.98764i 0.234971 0.0536305i
\(94\) 21.1936 10.2063i 0.225464 0.108578i
\(95\) 153.279 17.2703i 1.61346 0.181793i
\(96\) −54.0603 43.1117i −0.563128 0.449080i
\(97\) −41.8847 119.700i −0.431802 1.23402i −0.930195 0.367067i \(-0.880362\pi\)
0.498393 0.866951i \(-0.333924\pi\)
\(98\) −285.824 32.2047i −2.91657 0.328619i
\(99\) 13.2246 + 13.2246i 0.133581 + 0.133581i
\(100\) 18.0575 14.4004i 0.180575 0.144004i
\(101\) −59.5271 37.4034i −0.589377 0.370330i 0.204082 0.978954i \(-0.434579\pi\)
−0.793459 + 0.608623i \(0.791722\pi\)
\(102\) −9.11206 + 14.5018i −0.0893339 + 0.142174i
\(103\) −54.4757 68.3104i −0.528891 0.663208i 0.443580 0.896235i \(-0.353708\pi\)
−0.972470 + 0.233027i \(0.925137\pi\)
\(104\) 8.85791 8.85791i 0.0851722 0.0851722i
\(105\) −9.81194 + 87.0834i −0.0934471 + 0.829366i
\(106\) 92.8249 32.4808i 0.875707 0.306423i
\(107\) 24.4898 30.7092i 0.228877 0.287002i −0.654111 0.756399i \(-0.726957\pi\)
0.882987 + 0.469397i \(0.155529\pi\)
\(108\) 15.0559 + 133.625i 0.139407 + 1.23727i
\(109\) 48.7351 + 101.200i 0.447111 + 0.928436i 0.995726 + 0.0923607i \(0.0294413\pi\)
−0.548614 + 0.836076i \(0.684844\pi\)
\(110\) 9.08058 + 39.7846i 0.0825507 + 0.361678i
\(111\) −7.10564 + 31.1318i −0.0640147 + 0.280467i
\(112\) 89.4575 + 43.0805i 0.798728 + 0.384647i
\(113\) −32.7521 11.4605i −0.289842 0.101420i 0.181442 0.983402i \(-0.441924\pi\)
−0.471284 + 0.881982i \(0.656209\pi\)
\(114\) 141.785 89.0894i 1.24373 0.781486i
\(115\) 189.277i 1.64589i
\(116\) 64.3635 + 143.362i 0.554858 + 1.23588i
\(117\) 18.4260 0.157488
\(118\) 15.4777 + 24.6326i 0.131167 + 0.208751i
\(119\) 13.6696 39.0654i 0.114870 0.328281i
\(120\) −13.8597 + 28.7799i −0.115497 + 0.239833i
\(121\) −109.654 25.0279i −0.906235 0.206842i
\(122\) 177.299 40.4674i 1.45327 0.331700i
\(123\) −31.2617 + 15.0548i −0.254160 + 0.122397i
\(124\) −74.9283 + 8.44239i −0.604261 + 0.0680838i
\(125\) 104.184 + 83.0841i 0.833473 + 0.664672i
\(126\) −77.5641 221.665i −0.615588 1.75925i
\(127\) 159.395 + 17.9595i 1.25508 + 0.141413i 0.714353 0.699786i \(-0.246721\pi\)
0.540725 + 0.841199i \(0.318150\pi\)
\(128\) 92.3344 + 92.3344i 0.721363 + 0.721363i
\(129\) 2.35850 1.88084i 0.0182830 0.0145802i
\(130\) 34.0424 + 21.3903i 0.261865 + 0.164540i
\(131\) −81.0335 + 128.964i −0.618577 + 0.984459i 0.379662 + 0.925125i \(0.376040\pi\)
−0.998238 + 0.0593336i \(0.981102\pi\)
\(132\) 15.8910 + 19.9266i 0.120386 + 0.150959i
\(133\) −286.134 + 286.134i −2.15138 + 2.15138i
\(134\) −19.9449 + 177.016i −0.148843 + 1.32102i
\(135\) −106.664 + 37.3233i −0.790102 + 0.276469i
\(136\) 9.40608 11.7948i 0.0691623 0.0867268i
\(137\) 6.05776 + 53.7641i 0.0442172 + 0.392439i 0.996255 + 0.0864595i \(0.0275553\pi\)
−0.952038 + 0.305979i \(0.901016\pi\)
\(138\) −89.1537 185.130i −0.646041 1.34152i
\(139\) −10.2366 44.8495i −0.0736447 0.322658i 0.924665 0.380782i \(-0.124345\pi\)
−0.998309 + 0.0581239i \(0.981488\pi\)
\(140\) 65.6005 287.415i 0.468575 2.05296i
\(141\) 11.1238 + 5.35694i 0.0788923 + 0.0379925i
\(142\) 226.893 + 79.3934i 1.59784 + 0.559108i
\(143\) 7.11214 4.46885i 0.0497352 0.0312507i
\(144\) 53.2350i 0.369688i
\(145\) −105.421 + 79.5419i −0.727041 + 0.548565i
\(146\) −235.212 −1.61104
\(147\) −80.3203 127.829i −0.546397 0.869585i
\(148\) 35.4793 101.394i 0.239725 0.685094i
\(149\) 99.1793 205.948i 0.665633 1.38220i −0.245219 0.969468i \(-0.578860\pi\)
0.910852 0.412734i \(-0.135426\pi\)
\(150\) 20.5426 + 4.68871i 0.136951 + 0.0312581i
\(151\) 82.0279 18.7223i 0.543231 0.123989i 0.0579049 0.998322i \(-0.481558\pi\)
0.485326 + 0.874333i \(0.338701\pi\)
\(152\) −132.892 + 63.9973i −0.874289 + 0.421035i
\(153\) 22.0509 2.48454i 0.144123 0.0162388i
\(154\) −83.6987 66.7475i −0.543498 0.433425i
\(155\) −20.9285 59.8101i −0.135022 0.385872i
\(156\) 24.9527 + 2.81149i 0.159953 + 0.0180224i
\(157\) −137.989 137.989i −0.878912 0.878912i 0.114510 0.993422i \(-0.463470\pi\)
−0.993422 + 0.114510i \(0.963470\pi\)
\(158\) 214.973 171.436i 1.36059 1.08503i
\(159\) 43.7056 + 27.4621i 0.274878 + 0.172717i
\(160\) −104.001 + 165.516i −0.650004 + 1.03447i
\(161\) 309.593 + 388.217i 1.92294 + 2.41129i
\(162\) 38.3551 38.3551i 0.236760 0.236760i
\(163\) 4.35863 38.6839i 0.0267401 0.237325i −0.973232 0.229826i \(-0.926184\pi\)
0.999972 0.00749896i \(-0.00238702\pi\)
\(164\) 110.175 38.5519i 0.671798 0.235072i
\(165\) −13.3543 + 16.7458i −0.0809351 + 0.101489i
\(166\) −16.2341 144.081i −0.0977955 0.867959i
\(167\) −8.15009 16.9238i −0.0488029 0.101340i 0.875141 0.483867i \(-0.160768\pi\)
−0.923944 + 0.382527i \(0.875054\pi\)
\(168\) −18.6472 81.6987i −0.110995 0.486302i
\(169\) −35.7646 + 156.695i −0.211625 + 0.927188i
\(170\) 43.6235 + 21.0080i 0.256609 + 0.123576i
\(171\) −204.782 71.6565i −1.19756 0.419044i
\(172\) −8.59264 + 5.39911i −0.0499572 + 0.0313902i
\(173\) 216.808i 1.25322i −0.779332 0.626612i \(-0.784441\pi\)
0.779332 0.626612i \(-0.215559\pi\)
\(174\) −65.6449 + 127.454i −0.377269 + 0.732497i
\(175\) −50.9188 −0.290965
\(176\) 12.9111 + 20.5478i 0.0733583 + 0.116749i
\(177\) −5.04312 + 14.4124i −0.0284922 + 0.0814260i
\(178\) −79.0131 + 164.072i −0.443894 + 0.921755i
\(179\) −64.5460 14.7322i −0.360592 0.0823028i 0.0383867 0.999263i \(-0.487778\pi\)
−0.398979 + 0.916960i \(0.630635\pi\)
\(180\) 154.099 35.1721i 0.856105 0.195400i
\(181\) −31.6029 + 15.2191i −0.174602 + 0.0840837i −0.519143 0.854687i \(-0.673749\pi\)
0.344541 + 0.938771i \(0.388034\pi\)
\(182\) −104.810 + 11.8092i −0.575878 + 0.0648859i
\(183\) 74.6271 + 59.5131i 0.407798 + 0.325208i
\(184\) 59.7788 + 170.838i 0.324885 + 0.928468i
\(185\) 89.7067 + 10.1075i 0.484901 + 0.0546353i
\(186\) −48.6417 48.6417i −0.261515 0.261515i
\(187\) 7.90869 6.30697i 0.0422924 0.0337271i
\(188\) −35.1680 22.0975i −0.187064 0.117540i
\(189\) 157.725 251.017i 0.834522 1.32813i
\(190\) −295.155 370.112i −1.55345 1.94796i
\(191\) 100.170 100.170i 0.524450 0.524450i −0.394463 0.918912i \(-0.629069\pi\)
0.918912 + 0.394463i \(0.129069\pi\)
\(192\) −17.7641 + 157.661i −0.0925213 + 0.821150i
\(193\) 27.8003 9.72774i 0.144043 0.0504028i −0.257295 0.966333i \(-0.582831\pi\)
0.401338 + 0.915930i \(0.368545\pi\)
\(194\) −242.663 + 304.290i −1.25084 + 1.56851i
\(195\) 2.36269 + 20.9695i 0.0121164 + 0.107536i
\(196\) 220.355 + 457.571i 1.12426 + 2.33455i
\(197\) −28.3314 124.128i −0.143814 0.630092i −0.994529 0.104464i \(-0.966687\pi\)
0.850714 0.525628i \(-0.176170\pi\)
\(198\) 12.7722 55.9589i 0.0645063 0.282621i
\(199\) 272.856 + 131.401i 1.37114 + 0.660304i 0.967090 0.254435i \(-0.0818894\pi\)
0.404046 + 0.914739i \(0.367604\pi\)
\(200\) −17.5187 6.13005i −0.0875934 0.0306503i
\(201\) −79.1669 + 49.7439i −0.393865 + 0.247482i
\(202\) 215.761i 1.06812i
\(203\) 86.1204 335.577i 0.424238 1.65309i
\(204\) 30.2405 0.148238
\(205\) 52.1883 + 83.0571i 0.254577 + 0.405157i
\(206\) −88.5635 + 253.100i −0.429920 + 1.22864i
\(207\) −115.512 + 239.862i −0.558027 + 1.15876i
\(208\) 23.3094 + 5.32023i 0.112065 + 0.0255780i
\(209\) −96.4213 + 22.0075i −0.461346 + 0.105299i
\(210\) 242.317 116.694i 1.15389 0.555685i
\(211\) 116.261 13.0995i 0.551002 0.0620830i 0.167925 0.985800i \(-0.446293\pi\)
0.383076 + 0.923717i \(0.374865\pi\)
\(212\) −135.759 108.265i −0.640375 0.510682i
\(213\) 41.6709 + 119.089i 0.195638 + 0.559102i
\(214\) −119.789 13.4970i −0.559761 0.0630699i
\(215\) −6.03032 6.03032i −0.0280480 0.0280480i
\(216\) 84.4850 67.3746i 0.391134 0.311919i
\(217\) 140.754 + 88.4417i 0.648637 + 0.407565i
\(218\) 183.403 291.884i 0.841298 1.33892i
\(219\) −76.9728 96.5209i −0.351474 0.440735i
\(220\) 50.9493 50.9493i 0.231588 0.231588i
\(221\) 1.11585 9.90347i 0.00504911 0.0448121i
\(222\) 92.5018 32.3678i 0.416675 0.145801i
\(223\) 157.783 197.854i 0.707547 0.887236i −0.290015 0.957022i \(-0.593660\pi\)
0.997562 + 0.0697862i \(0.0222317\pi\)
\(224\) −57.4171 509.591i −0.256326 2.27496i
\(225\) −11.8452 24.5968i −0.0526453 0.109319i
\(226\) 23.6969 + 103.823i 0.104854 + 0.459394i
\(227\) −21.4599 + 94.0221i −0.0945372 + 0.414194i −0.999946 0.0103453i \(-0.996707\pi\)
0.905409 + 0.424540i \(0.139564\pi\)
\(228\) −266.384 128.284i −1.16835 0.562649i
\(229\) 56.9198 + 19.9171i 0.248558 + 0.0869742i 0.451683 0.892179i \(-0.350824\pi\)
−0.203125 + 0.979153i \(0.565110\pi\)
\(230\) −491.859 + 309.055i −2.13852 + 1.34372i
\(231\) 56.1895i 0.243244i
\(232\) 70.0295 105.088i 0.301851 0.452965i
\(233\) 94.7649 0.406716 0.203358 0.979104i \(-0.434814\pi\)
0.203358 + 0.979104i \(0.434814\pi\)
\(234\) −30.0864 47.8822i −0.128574 0.204625i
\(235\) 11.5281 32.9454i 0.0490557 0.140193i
\(236\) 22.2871 46.2796i 0.0944367 0.196100i
\(237\) 140.700 + 32.1138i 0.593669 + 0.135501i
\(238\) −123.836 + 28.2647i −0.520319 + 0.118759i
\(239\) −92.0947 + 44.3505i −0.385333 + 0.185567i −0.616514 0.787344i \(-0.711456\pi\)
0.231180 + 0.972911i \(0.425741\pi\)
\(240\) −60.5834 + 6.82611i −0.252431 + 0.0284421i
\(241\) −288.328 229.934i −1.19638 0.954084i −0.196731 0.980457i \(-0.563033\pi\)
−0.999652 + 0.0263733i \(0.991604\pi\)
\(242\) 114.008 + 325.816i 0.471107 + 1.34635i
\(243\) 250.223 + 28.1934i 1.02973 + 0.116022i
\(244\) −227.054 227.054i −0.930551 0.930551i
\(245\) −333.682 + 266.103i −1.36197 + 1.08613i
\(246\) 90.1664 + 56.6553i 0.366530 + 0.230306i
\(247\) −51.8411 + 82.5046i −0.209883 + 0.334027i
\(248\) 37.7793 + 47.3737i 0.152336 + 0.191023i
\(249\) 53.8122 53.8122i 0.216113 0.216113i
\(250\) 45.7898 406.395i 0.183159 1.62558i
\(251\) −346.223 + 121.149i −1.37937 + 0.482663i −0.915171 0.403066i \(-0.867945\pi\)
−0.464202 + 0.885729i \(0.653659\pi\)
\(252\) −258.535 + 324.193i −1.02593 + 1.28648i
\(253\) 13.5881 + 120.598i 0.0537079 + 0.476671i
\(254\) −213.593 443.531i −0.840917 1.74618i
\(255\) 5.65498 + 24.7761i 0.0221764 + 0.0971611i
\(256\) 1.50755 6.60499i 0.00588885 0.0258007i
\(257\) −348.410 167.786i −1.35568 0.652862i −0.392013 0.919960i \(-0.628221\pi\)
−0.963670 + 0.267097i \(0.913936\pi\)
\(258\) −8.73859 3.05776i −0.0338705 0.0118518i
\(259\) −200.525 + 125.999i −0.774230 + 0.486481i
\(260\) 70.9886i 0.273033i
\(261\) 182.138 36.4637i 0.697846 0.139708i
\(262\) 467.441 1.78413
\(263\) 181.203 + 288.383i 0.688986 + 1.09651i 0.989749 + 0.142816i \(0.0456157\pi\)
−0.300763 + 0.953699i \(0.597241\pi\)
\(264\) 6.76458 19.3321i 0.0256234 0.0732275i
\(265\) 63.3142 131.473i 0.238921 0.496126i
\(266\) 1210.75 + 276.347i 4.55171 + 1.03890i
\(267\) −93.1853 + 21.2689i −0.349009 + 0.0796589i
\(268\) 283.382 136.470i 1.05740 0.509216i
\(269\) 71.8537 8.09596i 0.267114 0.0300965i 0.0226084 0.999744i \(-0.492803\pi\)
0.244506 + 0.969648i \(0.421374\pi\)
\(270\) 271.151 + 216.236i 1.00426 + 0.800874i
\(271\) 110.702 + 316.368i 0.408495 + 1.16741i 0.946005 + 0.324153i \(0.105079\pi\)
−0.537510 + 0.843257i \(0.680635\pi\)
\(272\) 28.6123 + 3.22383i 0.105192 + 0.0118523i
\(273\) −39.1449 39.1449i −0.143388 0.143388i
\(274\) 129.821 103.529i 0.473799 0.377842i
\(275\) −10.5375 6.62114i −0.0383181 0.0240769i
\(276\) −193.025 + 307.198i −0.699367 + 1.11304i
\(277\) −187.171 234.705i −0.675707 0.847310i 0.319244 0.947673i \(-0.396571\pi\)
−0.994951 + 0.100362i \(0.968000\pi\)
\(278\) −99.8321 + 99.8321i −0.359108 + 0.359108i
\(279\) −9.97907 + 88.5667i −0.0357673 + 0.317443i
\(280\) −223.611 + 78.2449i −0.798611 + 0.279446i
\(281\) 212.195 266.084i 0.755142 0.946918i −0.244600 0.969624i \(-0.578657\pi\)
0.999742 + 0.0227058i \(0.00722811\pi\)
\(282\) −4.24252 37.6534i −0.0150444 0.133523i
\(283\) 43.3073 + 89.9286i 0.153029 + 0.317769i 0.963363 0.268199i \(-0.0864286\pi\)
−0.810334 + 0.585968i \(0.800714\pi\)
\(284\) −94.4462 413.796i −0.332557 1.45703i
\(285\) 55.2892 242.238i 0.193997 0.849958i
\(286\) −23.2257 11.1849i −0.0812086 0.0391080i
\(287\) −242.894 84.9922i −0.846320 0.296140i
\(288\) 232.806 146.282i 0.808353 0.507922i
\(289\) 276.998i 0.958470i
\(290\) 378.832 + 144.071i 1.30632 + 0.496797i
\(291\) −204.279 −0.701990
\(292\) 220.957 + 351.651i 0.756702 + 1.20428i
\(293\) −61.7117 + 176.362i −0.210620 + 0.601917i −0.999927 0.0120814i \(-0.996154\pi\)
0.789307 + 0.613999i \(0.210440\pi\)
\(294\) −201.030 + 417.443i −0.683775 + 1.41987i
\(295\) 42.0846 + 9.60553i 0.142660 + 0.0325611i
\(296\) −84.1598 + 19.2089i −0.284324 + 0.0648950i
\(297\) 65.2813 31.4378i 0.219802 0.105851i
\(298\) −697.121 + 78.5467i −2.33933 + 0.263580i
\(299\) 93.4818 + 74.5493i 0.312648 + 0.249329i
\(300\) −12.2878 35.1165i −0.0409594 0.117055i
\(301\) 22.2320 + 2.50495i 0.0738606 + 0.00832209i
\(302\) −182.589 182.589i −0.604599 0.604599i
\(303\) −88.5391 + 70.6076i −0.292208 + 0.233028i
\(304\) −238.366 149.775i −0.784098 0.492681i
\(305\) 143.567 228.485i 0.470710 0.749131i
\(306\) −42.4614 53.2449i −0.138763 0.174003i
\(307\) 153.936 153.936i 0.501419 0.501419i −0.410460 0.911879i \(-0.634632\pi\)
0.911879 + 0.410460i \(0.134632\pi\)
\(308\) −21.1639 + 187.835i −0.0687141 + 0.609855i
\(309\) −132.844 + 46.4840i −0.429915 + 0.150434i
\(310\) −121.251 + 152.044i −0.391132 + 0.490465i
\(311\) 1.32892 + 11.7945i 0.00427306 + 0.0379245i 0.995668 0.0929819i \(-0.0296399\pi\)
−0.991395 + 0.130906i \(0.958211\pi\)
\(312\) −8.75525 18.1805i −0.0280617 0.0582707i
\(313\) −66.0161 289.235i −0.210914 0.924074i −0.963948 0.266092i \(-0.914267\pi\)
0.753034 0.657982i \(-0.228590\pi\)
\(314\) −133.270 + 583.892i −0.424425 + 1.85953i
\(315\) −313.957 151.194i −0.996690 0.479981i
\(316\) −458.248 160.348i −1.45015 0.507430i
\(317\) 214.084 134.518i 0.675345 0.424347i −0.150221 0.988652i \(-0.547999\pi\)
0.825566 + 0.564305i \(0.190856\pi\)
\(318\) 158.415i 0.498159i
\(319\) 61.4585 58.2481i 0.192660 0.182596i
\(320\) 448.534 1.40167
\(321\) −33.6622 53.5731i −0.104867 0.166894i
\(322\) 503.318 1438.40i 1.56310 4.46708i
\(323\) −50.9146 + 105.725i −0.157630 + 0.327323i
\(324\) −93.3731 21.3118i −0.288188 0.0657771i
\(325\) −11.9537 + 2.72836i −0.0367807 + 0.00839495i
\(326\) −107.641 + 51.8374i −0.330188 + 0.159010i
\(327\) 179.795 20.2581i 0.549833 0.0619513i
\(328\) −73.3358 58.4834i −0.223585 0.178303i
\(329\) 30.2427 + 86.4286i 0.0919230 + 0.262701i
\(330\) 65.3209 + 7.35990i 0.197942 + 0.0223027i
\(331\) −111.869 111.869i −0.337973 0.337973i 0.517631 0.855604i \(-0.326814\pi\)
−0.855604 + 0.517631i \(0.826814\pi\)
\(332\) −200.157 + 159.620i −0.602882 + 0.480782i
\(333\) −107.513 67.5548i −0.322861 0.202867i
\(334\) −30.6709 + 48.8125i −0.0918291 + 0.146145i
\(335\) 164.802 + 206.656i 0.491947 + 0.616882i
\(336\) 113.094 113.094i 0.336590 0.336590i
\(337\) −69.1598 + 613.810i −0.205222 + 1.82140i 0.294998 + 0.955498i \(0.404681\pi\)
−0.500220 + 0.865898i \(0.666748\pi\)
\(338\) 465.586 162.916i 1.37747 0.481999i
\(339\) −34.8498 + 43.7002i −0.102802 + 0.128909i
\(340\) −9.57198 84.9537i −0.0281529 0.249864i
\(341\) 17.6283 + 36.6055i 0.0516958 + 0.107347i
\(342\) 148.165 + 649.153i 0.433231 + 1.89811i
\(343\) 118.886 520.873i 0.346606 1.51858i
\(344\) 7.34739 + 3.53832i 0.0213587 + 0.0102858i
\(345\) −287.783 100.700i −0.834155 0.291883i
\(346\) −563.399 + 354.007i −1.62832 + 1.02314i
\(347\) 195.864i 0.564450i 0.959348 + 0.282225i \(0.0910724\pi\)
−0.959348 + 0.282225i \(0.908928\pi\)
\(348\) 252.216 21.5884i 0.724758 0.0620357i
\(349\) 350.810 1.00519 0.502593 0.864523i \(-0.332380\pi\)
0.502593 + 0.864523i \(0.332380\pi\)
\(350\) 83.1411 + 132.318i 0.237546 + 0.378052i
\(351\) 23.5774 67.3802i 0.0671720 0.191966i
\(352\) 54.3815 112.924i 0.154493 0.320808i
\(353\) −326.927 74.6189i −0.926139 0.211385i −0.267251 0.963627i \(-0.586115\pi\)
−0.658887 + 0.752242i \(0.728973\pi\)
\(354\) 45.6868 10.4277i 0.129059 0.0294568i
\(355\) 321.362 154.760i 0.905245 0.435943i
\(356\) 319.519 36.0012i 0.897526 0.101127i
\(357\) −52.1238 41.5674i −0.146005 0.116435i
\(358\) 67.1085 + 191.785i 0.187454 + 0.535713i
\(359\) −329.831 37.1631i −0.918751 0.103518i −0.360093 0.932917i \(-0.617255\pi\)
−0.558658 + 0.829398i \(0.688683\pi\)
\(360\) −89.8154 89.8154i −0.249487 0.249487i
\(361\) 614.757 490.253i 1.70293 1.35804i
\(362\) 91.1504 + 57.2736i 0.251797 + 0.158214i
\(363\) −96.3919 + 153.407i −0.265543 + 0.422608i
\(364\) 116.113 + 145.601i 0.318992 + 0.400003i
\(365\) −246.789 + 246.789i −0.676134 + 0.676134i
\(366\) 32.7992 291.101i 0.0896154 0.795358i
\(367\) −308.985 + 108.119i −0.841921 + 0.294601i −0.716573 0.697512i \(-0.754290\pi\)
−0.125348 + 0.992113i \(0.540005\pi\)
\(368\) −215.382 + 270.080i −0.585277 + 0.733914i
\(369\) −15.4479 137.104i −0.0418642 0.371555i
\(370\) −120.209 249.617i −0.324890 0.674641i
\(371\) 85.1847 + 373.219i 0.229608 + 1.00598i
\(372\) −27.0275 + 118.415i −0.0726545 + 0.318320i
\(373\) 369.998 + 178.182i 0.991951 + 0.477698i 0.858199 0.513316i \(-0.171583\pi\)
0.133752 + 0.991015i \(0.457298\pi\)
\(374\) −29.3028 10.2535i −0.0783498 0.0274158i
\(375\) 181.752 114.202i 0.484672 0.304540i
\(376\) 33.3767i 0.0887679i
\(377\) 2.23659 83.3948i 0.00593259 0.221206i
\(378\) −909.833 −2.40697
\(379\) 197.597 + 314.473i 0.521363 + 0.829745i 0.998803 0.0489200i \(-0.0155779\pi\)
−0.477440 + 0.878665i \(0.658435\pi\)
\(380\) −276.066 + 788.950i −0.726488 + 2.07618i
\(381\) 112.108 232.794i 0.294246 0.611009i
\(382\) −423.862 96.7437i −1.10959 0.253256i
\(383\) −418.965 + 95.6261i −1.09390 + 0.249676i −0.731156 0.682211i \(-0.761019\pi\)
−0.362748 + 0.931887i \(0.618162\pi\)
\(384\) 189.512 91.2643i 0.493522 0.237667i
\(385\) −157.851 + 17.7856i −0.410003 + 0.0461962i
\(386\) −70.6714 56.3586i −0.183087 0.146007i
\(387\) 3.96178 + 11.3221i 0.0102372 + 0.0292561i
\(388\) 682.883 + 76.9424i 1.76001 + 0.198305i
\(389\) 261.614 + 261.614i 0.672531 + 0.672531i 0.958299 0.285768i \(-0.0922487\pi\)
−0.285768 + 0.958299i \(0.592249\pi\)
\(390\) 50.6338 40.3791i 0.129830 0.103536i
\(391\) 121.924 + 76.6099i 0.311826 + 0.195933i
\(392\) 217.133 345.565i 0.553910 0.881543i
\(393\) 152.970 + 191.818i 0.389236 + 0.488086i
\(394\) −276.301 + 276.301i −0.701272 + 0.701272i
\(395\) 45.6807 405.428i 0.115647 1.02640i
\(396\) −95.6589 + 33.4725i −0.241563 + 0.0845265i
\(397\) −93.5455 + 117.302i −0.235631 + 0.295472i −0.885562 0.464521i \(-0.846226\pi\)
0.649931 + 0.759993i \(0.274798\pi\)
\(398\) −104.065 923.601i −0.261469 2.32060i
\(399\) 282.817 + 587.276i 0.708816 + 1.47187i
\(400\) −7.88256 34.5357i −0.0197064 0.0863394i
\(401\) 52.5601 230.281i 0.131073 0.574266i −0.866150 0.499784i \(-0.833413\pi\)
0.997222 0.0744818i \(-0.0237303\pi\)
\(402\) 258.530 + 124.502i 0.643110 + 0.309705i
\(403\) 37.7824 + 13.2206i 0.0937530 + 0.0328056i
\(404\) 322.571 202.685i 0.798443 0.501695i
\(405\) 80.4859i 0.198731i
\(406\) −1012.65 + 324.142i −2.49422 + 0.798381i
\(407\) −57.8821 −0.142217
\(408\) −12.9290 20.5764i −0.0316888 0.0504324i
\(409\) 13.0580 37.3176i 0.0319266 0.0912410i −0.926817 0.375514i \(-0.877466\pi\)
0.958744 + 0.284273i \(0.0917521\pi\)
\(410\) 130.620 271.234i 0.318584 0.661547i
\(411\) 84.9676 + 19.3933i 0.206734 + 0.0471857i
\(412\) 461.590 105.355i 1.12037 0.255716i
\(413\) −102.029 + 49.1345i −0.247043 + 0.118970i
\(414\) 811.919 91.4813i 1.96116 0.220969i
\(415\) −168.206 134.140i −0.405315 0.323228i
\(416\) −40.7844 116.555i −0.0980395 0.280181i
\(417\) −73.6368 8.29687i −0.176587 0.0198966i
\(418\) 214.628 + 214.628i 0.513463 + 0.513463i
\(419\) 490.816 391.413i 1.17140 0.934160i 0.172691 0.984976i \(-0.444754\pi\)
0.998708 + 0.0508160i \(0.0161822\pi\)
\(420\) −402.094 252.652i −0.957366 0.601553i
\(421\) −188.794 + 300.464i −0.448442 + 0.713692i −0.992077 0.125630i \(-0.959905\pi\)
0.543635 + 0.839322i \(0.317048\pi\)
\(422\) −223.874 280.729i −0.530508 0.665235i
\(423\) −34.7148 + 34.7148i −0.0820681 + 0.0820681i
\(424\) −15.6234 + 138.662i −0.0368477 + 0.327032i
\(425\) −13.9374 + 4.87691i −0.0327939 + 0.0114751i
\(426\) 241.425 302.737i 0.566724 0.710650i
\(427\) 79.2609 + 703.460i 0.185623 + 1.64745i
\(428\) 92.3506 + 191.768i 0.215772 + 0.448056i
\(429\) −3.01077 13.1911i −0.00701812 0.0307484i
\(430\) −5.82406 + 25.5169i −0.0135443 + 0.0593416i
\(431\) −433.295 208.664i −1.00532 0.484139i −0.142583 0.989783i \(-0.545541\pi\)
−0.862742 + 0.505644i \(0.831255\pi\)
\(432\) 194.670 + 68.1178i 0.450624 + 0.157680i
\(433\) 255.849 160.760i 0.590875 0.371271i −0.203158 0.979146i \(-0.565121\pi\)
0.794033 + 0.607875i \(0.207978\pi\)
\(434\) 510.175i 1.17552i
\(435\) 64.8518 + 202.604i 0.149085 + 0.465755i
\(436\) −608.666 −1.39602
\(437\) −749.022 1192.06i −1.71401 2.72783i
\(438\) −125.138 + 357.624i −0.285703 + 0.816493i
\(439\) 60.9039 126.468i 0.138733 0.288083i −0.820013 0.572344i \(-0.806034\pi\)
0.958747 + 0.284262i \(0.0917484\pi\)
\(440\) −56.4501 12.8844i −0.128296 0.0292826i
\(441\) 585.256 133.581i 1.32711 0.302905i
\(442\) −27.5573 + 13.2709i −0.0623468 + 0.0300246i
\(443\) −454.976 + 51.2635i −1.02703 + 0.115719i −0.609372 0.792884i \(-0.708579\pi\)
−0.417661 + 0.908603i \(0.637150\pi\)
\(444\) −135.287 107.888i −0.304700 0.242990i
\(445\) 89.2459 + 255.050i 0.200553 + 0.573146i
\(446\) −771.776 86.9583i −1.73044 0.194974i
\(447\) −260.365 260.365i −0.582471 0.582471i
\(448\) −919.965 + 733.648i −2.05349 + 1.63761i
\(449\) 422.069 + 265.204i 0.940021 + 0.590654i 0.912549 0.408968i \(-0.134111\pi\)
0.0274722 + 0.999623i \(0.491254\pi\)
\(450\) −44.5766 + 70.9432i −0.0990590 + 0.157652i
\(451\) −39.2143 49.1732i −0.0869497 0.109031i
\(452\) 132.959 132.959i 0.294157 0.294157i
\(453\) 15.1746 134.679i 0.0334981 0.297304i
\(454\) 279.367 97.7549i 0.615347 0.215319i
\(455\) −97.5780 + 122.359i −0.214457 + 0.268921i
\(456\) 26.6022 + 236.101i 0.0583382 + 0.517766i
\(457\) −4.22710 8.77767i −0.00924968 0.0192071i 0.896293 0.443463i \(-0.146250\pi\)
−0.905543 + 0.424256i \(0.860536\pi\)
\(458\) −41.1828 180.434i −0.0899188 0.393960i
\(459\) 19.1301 83.8146i 0.0416779 0.182603i
\(460\) 924.100 + 445.023i 2.00891 + 0.967441i
\(461\) 736.203 + 257.609i 1.59697 + 0.558804i 0.974607 0.223924i \(-0.0718867\pi\)
0.622364 + 0.782728i \(0.286172\pi\)
\(462\) −146.015 + 91.7471i −0.316049 + 0.198587i
\(463\) 21.7764i 0.0470332i 0.999723 + 0.0235166i \(0.00748626\pi\)
−0.999723 + 0.0235166i \(0.992514\pi\)
\(464\) 240.938 + 6.46177i 0.519262 + 0.0139262i
\(465\) −102.072 −0.219509
\(466\) −154.734 246.258i −0.332047 0.528450i
\(467\) −94.2773 + 269.429i −0.201878 + 0.576936i −0.999662 0.0260088i \(-0.991720\pi\)
0.797783 + 0.602944i \(0.206006\pi\)
\(468\) −43.3227 + 89.9606i −0.0925699 + 0.192223i
\(469\) −676.036 154.301i −1.44144 0.328999i
\(470\) −104.436 + 23.8367i −0.222203 + 0.0507165i
\(471\) −283.217 + 136.390i −0.601309 + 0.289575i
\(472\) −41.0184 + 4.62167i −0.0869034 + 0.00979166i
\(473\) 4.27512 + 3.40930i 0.00903831 + 0.00720781i
\(474\) −146.286 418.060i −0.308619 0.881983i
\(475\) 143.461 + 16.1642i 0.302023 + 0.0340298i
\(476\) 158.588 + 158.588i 0.333168 + 0.333168i
\(477\) −160.470 + 127.971i −0.336416 + 0.268283i
\(478\) 265.624 + 166.902i 0.555698 + 0.349168i
\(479\) 390.644 621.706i 0.815540 1.29792i −0.136095 0.990696i \(-0.543455\pi\)
0.951636 0.307229i \(-0.0994017\pi\)
\(480\) 196.325 + 246.184i 0.409011 + 0.512884i
\(481\) −40.3241 + 40.3241i −0.0838339 + 0.0838339i
\(482\) −126.723 + 1124.70i −0.262910 + 2.33339i
\(483\) 754.969 264.175i 1.56308 0.546946i
\(484\) 380.009 476.516i 0.785142 0.984537i
\(485\) 64.6601 + 573.874i 0.133320 + 1.18325i
\(486\) −335.305 696.269i −0.689929 1.43265i
\(487\) −142.396 623.876i −0.292394 1.28106i −0.881184 0.472774i \(-0.843253\pi\)
0.588790 0.808286i \(-0.299604\pi\)
\(488\) −57.4189 + 251.568i −0.117662 + 0.515509i
\(489\) −56.4974 27.2077i −0.115537 0.0556395i
\(490\) 1236.34 + 432.614i 2.52314 + 0.882886i
\(491\) 110.365 69.3472i 0.224777 0.141237i −0.414936 0.909851i \(-0.636196\pi\)
0.639713 + 0.768614i \(0.279053\pi\)
\(492\) 188.024i 0.382163i
\(493\) −8.56823 100.102i −0.0173798 0.203047i
\(494\) 299.045 0.605354
\(495\) −45.3123 72.1140i −0.0915399 0.145685i
\(496\) −38.1960 + 109.158i −0.0770082 + 0.220077i
\(497\) −405.995 + 843.058i −0.816892 + 1.69629i
\(498\) −227.703 51.9717i −0.457234 0.104361i
\(499\) 66.2987 15.1322i 0.132863 0.0303251i −0.155572 0.987825i \(-0.549722\pi\)
0.288435 + 0.957499i \(0.406865\pi\)
\(500\) −650.592 + 313.309i −1.30118 + 0.626617i
\(501\) −30.0676 + 3.38780i −0.0600152 + 0.00676209i
\(502\) 880.137 + 701.886i 1.75326 + 1.39818i
\(503\) −287.544 821.754i −0.571658 1.63371i −0.758764 0.651365i \(-0.774197\pi\)
0.187106 0.982340i \(-0.440089\pi\)
\(504\) 331.123 + 37.3086i 0.656990 + 0.0740250i
\(505\) 226.381 + 226.381i 0.448278 + 0.448278i
\(506\) 291.200 232.224i 0.575494 0.458941i
\(507\) 219.216 + 137.743i 0.432380 + 0.271682i
\(508\) −462.447 + 735.980i −0.910329 + 1.44878i
\(509\) −154.547 193.796i −0.303629 0.380739i 0.606486 0.795094i \(-0.292579\pi\)
−0.910115 + 0.414355i \(0.864007\pi\)
\(510\) 55.1499 55.1499i 0.108137 0.108137i
\(511\) 102.514 909.838i 0.200615 1.78051i
\(512\) 473.386 165.645i 0.924582 0.323525i
\(513\) −524.066 + 657.158i −1.02157 + 1.28101i
\(514\) 132.881 + 1179.35i 0.258523 + 2.29445i
\(515\) 172.635 + 358.480i 0.335213 + 0.696078i
\(516\) 3.63751 + 15.9370i 0.00704944 + 0.0308856i
\(517\) −4.97997 + 21.8187i −0.00963244 + 0.0422025i
\(518\) 654.843 + 315.356i 1.26418 + 0.608795i
\(519\) −329.641 115.347i −0.635147 0.222248i
\(520\) −48.3025 + 30.3505i −0.0928894 + 0.0583663i
\(521\) 250.623i 0.481041i −0.970644 0.240521i \(-0.922682\pi\)
0.970644 0.240521i \(-0.0773182\pi\)
\(522\) −392.153 413.767i −0.751251 0.792657i
\(523\) 190.538 0.364318 0.182159 0.983269i \(-0.441691\pi\)
0.182159 + 0.983269i \(0.441691\pi\)
\(524\) −439.112 698.843i −0.838000 1.33367i
\(525\) −27.0900 + 77.4186i −0.0515999 + 0.147464i
\(526\) 453.525 941.755i 0.862215 1.79041i
\(527\) 46.9978 + 10.7269i 0.0891798 + 0.0203547i
\(528\) 38.1106 8.69849i 0.0721791 0.0164744i
\(529\) −1079.87 + 520.038i −2.04134 + 0.983058i
\(530\) −445.029 + 50.1427i −0.839677 + 0.0946089i
\(531\) −47.4698 37.8559i −0.0893969 0.0712917i
\(532\) −724.228 2069.72i −1.36133 3.89046i
\(533\) −61.5760 6.93794i −0.115527 0.0130168i
\(534\) 207.424 + 207.424i 0.388435 + 0.388435i
\(535\) −139.846 + 111.523i −0.261394 + 0.208455i
\(536\) −214.015 134.474i −0.399281 0.250885i
\(537\) −56.7392 + 90.3000i −0.105660 + 0.168156i
\(538\) −138.362 173.501i −0.257179 0.322492i
\(539\) 193.502 193.502i 0.359001 0.359001i
\(540\) 68.5629 608.513i 0.126968 1.12688i
\(541\) −692.929 + 242.466i −1.28083 + 0.448182i −0.883041 0.469295i \(-0.844508\pi\)
−0.397789 + 0.917477i \(0.630222\pi\)
\(542\) 641.363 804.243i 1.18333 1.48384i
\(543\) 6.32625 + 56.1470i 0.0116505 + 0.103401i
\(544\) −64.5238 133.985i −0.118610 0.246296i
\(545\) −113.821 498.681i −0.208845 0.915011i
\(546\) −37.8060 + 165.639i −0.0692418 + 0.303368i
\(547\) −646.089 311.140i −1.18115 0.568812i −0.262904 0.964822i \(-0.584680\pi\)
−0.918246 + 0.396010i \(0.870394\pi\)
\(548\) −276.733 96.8330i −0.504987 0.176703i
\(549\) −321.375 + 201.933i −0.585382 + 0.367820i
\(550\) 38.1940i 0.0694436i
\(551\) −349.168 + 918.131i −0.633699 + 1.66630i
\(552\) 291.552 0.528173
\(553\) 569.448 + 906.271i 1.02974 + 1.63883i
\(554\) −304.292 + 869.616i −0.549263 + 1.56970i
\(555\) 63.0938 131.016i 0.113683 0.236064i
\(556\) 243.035 + 55.4711i 0.437113 + 0.0997681i
\(557\) 292.506 66.7627i 0.525146 0.119861i 0.0482744 0.998834i \(-0.484628\pi\)
0.476872 + 0.878973i \(0.341771\pi\)
\(558\) 246.445 118.682i 0.441657 0.212691i
\(559\) 5.35342 0.603186i 0.00957678 0.00107904i
\(560\) −353.510 281.915i −0.631268 0.503419i
\(561\) −5.38172 15.3801i −0.00959309 0.0274155i
\(562\) −1037.93 116.946i −1.84684 0.208089i
\(563\) 748.523 + 748.523i 1.32953 + 1.32953i 0.905782 + 0.423743i \(0.139284\pi\)
0.423743 + 0.905782i \(0.360716\pi\)
\(564\) −52.3079 + 41.7142i −0.0927445 + 0.0739613i
\(565\) 133.796 + 84.0699i 0.236808 + 0.148796i
\(566\) 162.977 259.376i 0.287945 0.458262i
\(567\) 131.647 + 165.081i 0.232182 + 0.291148i
\(568\) −241.178 + 241.178i −0.424609 + 0.424609i
\(569\) −37.2315 + 330.438i −0.0654331 + 0.580735i 0.917626 + 0.397445i \(0.130103\pi\)
−0.983059 + 0.183290i \(0.941325\pi\)
\(570\) −719.760 + 251.855i −1.26274 + 0.441851i
\(571\) 632.274 792.847i 1.10731 1.38852i 0.194126 0.980977i \(-0.437813\pi\)
0.913184 0.407546i \(-0.133616\pi\)
\(572\) 5.09623 + 45.2303i 0.00890949 + 0.0790739i
\(573\) −99.0089 205.594i −0.172790 0.358803i
\(574\) 175.739 + 769.964i 0.306166 + 1.34140i
\(575\) 39.4205 172.712i 0.0685573 0.300369i
\(576\) −568.406 273.730i −0.986816 0.475226i
\(577\) 598.835 + 209.541i 1.03784 + 0.363156i 0.794808 0.606861i \(-0.207572\pi\)
0.243034 + 0.970018i \(0.421857\pi\)
\(578\) 719.811 452.287i 1.24535 0.782503i
\(579\) 47.4438i 0.0819410i
\(580\) −140.481 701.708i −0.242209 1.20984i
\(581\) 564.405 0.971438
\(582\) 333.551 + 530.843i 0.573111 + 0.912101i
\(583\) −30.9022 + 88.3133i −0.0530054 + 0.151481i
\(584\) 144.804 300.689i 0.247953 0.514879i
\(585\) −81.8061 18.6717i −0.139840 0.0319175i
\(586\) 559.060 127.602i 0.954028 0.217751i
\(587\) −114.477 + 55.1294i −0.195021 + 0.0939171i −0.528846 0.848718i \(-0.677375\pi\)
0.333825 + 0.942635i \(0.391661\pi\)
\(588\) 812.940 91.5964i 1.38255 0.155776i
\(589\) −368.491 293.862i −0.625622 0.498917i
\(590\) −43.7554 125.046i −0.0741616 0.211942i
\(591\) −203.801 22.9629i −0.344842 0.0388543i
\(592\) −116.501 116.501i −0.196793 0.196793i
\(593\) −80.0236 + 63.8167i −0.134947 + 0.107617i −0.688637 0.725106i \(-0.741791\pi\)
0.553690 + 0.832723i \(0.313219\pi\)
\(594\) −188.287 118.309i −0.316982 0.199173i
\(595\) −100.275 + 159.587i −0.168530 + 0.268214i
\(596\) 772.303 + 968.437i 1.29581 + 1.62489i
\(597\) 344.951 344.951i 0.577808 0.577808i
\(598\) 41.0860 364.649i 0.0687057 0.609780i
\(599\) 552.540 193.342i 0.922438 0.322775i 0.173055 0.984912i \(-0.444636\pi\)
0.749383 + 0.662137i \(0.230350\pi\)
\(600\) −18.6407 + 23.3747i −0.0310678 + 0.0389578i
\(601\) −97.2205 862.856i −0.161765 1.43570i −0.768018 0.640429i \(-0.778757\pi\)
0.606253 0.795272i \(-0.292672\pi\)
\(602\) −29.7915 61.8626i −0.0494875 0.102762i
\(603\) −82.7292 362.460i −0.137196 0.601095i
\(604\) −101.454 + 444.500i −0.167971 + 0.735928i
\(605\) 461.472 + 222.233i 0.762763 + 0.367327i
\(606\) 328.050 + 114.790i 0.541337 + 0.189422i
\(607\) 12.0856 7.59388i 0.0199104 0.0125105i −0.522040 0.852921i \(-0.674829\pi\)
0.541950 + 0.840410i \(0.317686\pi\)
\(608\) 1453.97i 2.39140i
\(609\) −464.404 309.475i −0.762569 0.508169i
\(610\) −828.163 −1.35764
\(611\) 11.7308 + 18.6695i 0.0191994 + 0.0305557i
\(612\) −39.7152 + 113.499i −0.0648941 + 0.185457i
\(613\) −210.870 + 437.876i −0.343997 + 0.714317i −0.999152 0.0411775i \(-0.986889\pi\)
0.655155 + 0.755495i \(0.272603\pi\)
\(614\) −651.368 148.671i −1.06086 0.242134i
\(615\) 154.048 35.1605i 0.250485 0.0571715i
\(616\) 136.856 65.9065i 0.222169 0.106991i
\(617\) 90.2086 10.1641i 0.146205 0.0164734i −0.0385585 0.999256i \(-0.512277\pi\)
0.184764 + 0.982783i \(0.440848\pi\)
\(618\) 337.704 + 269.310i 0.546446 + 0.435776i
\(619\) 357.144 + 1020.66i 0.576969 + 1.64888i 0.748063 + 0.663628i \(0.230984\pi\)
−0.171094 + 0.985255i \(0.554730\pi\)
\(620\) 341.214 + 38.4456i 0.550346 + 0.0620091i
\(621\) 729.322 + 729.322i 1.17443 + 1.17443i
\(622\) 28.4795 22.7116i 0.0457870 0.0365139i
\(623\) −600.223 377.145i −0.963439 0.605369i
\(624\) 20.4902 32.6100i 0.0328369 0.0522596i
\(625\) −311.919 391.134i −0.499070 0.625814i
\(626\) −643.819 + 643.819i −1.02846 + 1.02846i
\(627\) −17.8373 + 158.311i −0.0284487 + 0.252489i
\(628\) 998.134 349.262i 1.58939 0.556150i
\(629\) −42.8196 + 53.6940i −0.0680756 + 0.0853641i
\(630\) 119.740 + 1062.73i 0.190064 + 1.68687i
\(631\) −36.5938 75.9878i −0.0579933 0.120424i 0.869958 0.493126i \(-0.164146\pi\)
−0.927951 + 0.372702i \(0.878432\pi\)
\(632\) 86.8144 + 380.359i 0.137365 + 0.601833i
\(633\) 41.9367 183.737i 0.0662508 0.290264i
\(634\) −699.121 336.679i −1.10272 0.531040i
\(635\) −689.467 241.255i −1.08577 0.379929i
\(636\) −236.836 + 148.814i −0.372384 + 0.233984i
\(637\) 269.610i 0.423249i
\(638\) −251.715 64.5985i −0.394538 0.101252i
\(639\) −501.693 −0.785123
\(640\) −316.372 503.503i −0.494331 0.786723i
\(641\) 254.096 726.165i 0.396406 1.13286i −0.556827 0.830628i \(-0.687982\pi\)
0.953233 0.302235i \(-0.0977328\pi\)
\(642\) −84.2516 + 174.950i −0.131233 + 0.272508i
\(643\) −511.993 116.859i −0.796256 0.181740i −0.195007 0.980802i \(-0.562473\pi\)
−0.601249 + 0.799062i \(0.705330\pi\)
\(644\) −2623.28 + 598.747i −4.07342 + 0.929731i
\(645\) −12.3770 + 5.96043i −0.0191891 + 0.00924098i
\(646\) 357.874 40.3227i 0.553984 0.0624190i
\(647\) 810.314 + 646.204i 1.25242 + 0.998769i 0.999511 + 0.0312788i \(0.00995796\pi\)
0.252907 + 0.967491i \(0.418613\pi\)
\(648\) 25.4196 + 72.6451i 0.0392278 + 0.112107i
\(649\) −27.5037 3.09892i −0.0423786 0.00477492i
\(650\) 26.6082 + 26.6082i 0.0409357 + 0.0409357i
\(651\) 209.354 166.954i 0.321588 0.256458i
\(652\) 178.617 + 112.232i 0.273952 + 0.172135i
\(653\) 172.974 275.286i 0.264891 0.421571i −0.687623 0.726068i \(-0.741346\pi\)
0.952513 + 0.304497i \(0.0984885\pi\)
\(654\) −346.216 434.141i −0.529382 0.663824i
\(655\) 490.448 490.448i 0.748776 0.748776i
\(656\) 20.0446 177.900i 0.0305557 0.271190i
\(657\) 463.354 162.134i 0.705257 0.246780i
\(658\) 175.214 219.711i 0.266282 0.333908i
\(659\) −74.6830 662.830i −0.113328 1.00581i −0.913723 0.406339i \(-0.866805\pi\)
0.800395 0.599473i \(-0.204623\pi\)
\(660\) −50.3588 104.571i −0.0763013 0.158441i
\(661\) 156.741 + 686.726i 0.237127 + 1.03892i 0.943576 + 0.331156i \(0.107439\pi\)
−0.706450 + 0.707763i \(0.749704\pi\)
\(662\) −108.043 + 473.367i −0.163207 + 0.715056i
\(663\) −14.4639 6.96545i −0.0218158 0.0105060i
\(664\) 194.184 + 67.9481i 0.292446 + 0.102331i
\(665\) 1560.30 980.399i 2.34631 1.47428i
\(666\) 389.689i 0.585119i
\(667\) 1071.58 + 551.911i 1.60656 + 0.827453i
\(668\) 101.789 0.152378
\(669\) −216.879 345.161i −0.324184 0.515936i
\(670\) 267.926 765.689i 0.399890 1.14282i
\(671\) −75.0705 + 155.885i −0.111878 + 0.232318i
\(672\) −805.346 183.815i −1.19843 0.273534i
\(673\) −764.739 + 174.547i −1.13631 + 0.259356i −0.748986 0.662586i \(-0.769459\pi\)
−0.387328 + 0.921942i \(0.626602\pi\)
\(674\) 1707.98 822.521i 2.53410 1.22036i
\(675\) −105.102 + 11.8422i −0.155707 + 0.0175440i
\(676\) −680.935 543.028i −1.00730 0.803295i
\(677\) 145.674 + 416.312i 0.215176 + 0.614937i 0.999988 0.00479615i \(-0.00152667\pi\)
−0.784813 + 0.619733i \(0.787241\pi\)
\(678\) 170.463 + 19.2066i 0.251421 + 0.0283283i
\(679\) −1071.28 1071.28i −1.57774 1.57774i
\(680\) −53.7123 + 42.8341i −0.0789887 + 0.0629913i
\(681\) 131.537 + 82.6503i 0.193153 + 0.121366i
\(682\) 66.3398 105.579i 0.0972724 0.154808i
\(683\) 158.493 + 198.744i 0.232054 + 0.290986i 0.884202 0.467106i \(-0.154703\pi\)
−0.652148 + 0.758092i \(0.726132\pi\)
\(684\) 831.323 831.323i 1.21538 1.21538i
\(685\) 27.5863 244.835i 0.0402720 0.357424i
\(686\) −1547.67 + 541.552i −2.25607 + 0.789434i
\(687\) 60.5652 75.9464i 0.0881590 0.110548i
\(688\) 1.74268 + 15.4667i 0.00253296 + 0.0224806i
\(689\) 39.9960 + 83.0525i 0.0580493 + 0.120541i
\(690\) 208.218 + 912.263i 0.301765 + 1.32212i
\(691\) −100.393 + 439.849i −0.145286 + 0.636539i 0.848871 + 0.528599i \(0.177283\pi\)
−0.994157 + 0.107940i \(0.965575\pi\)
\(692\) 1058.51 + 509.751i 1.52964 + 0.736635i
\(693\) 210.892 + 73.7942i 0.304317 + 0.106485i
\(694\) 508.975 319.810i 0.733394 0.460822i
\(695\) 209.492i 0.301427i
\(696\) −122.522 162.384i −0.176037 0.233311i
\(697\) −74.6249 −0.107066
\(698\) −572.808 911.619i −0.820642 1.30604i
\(699\) 50.4171 144.084i 0.0721274 0.206128i
\(700\) 119.719 248.599i 0.171027 0.355141i
\(701\) 391.700 + 89.4029i 0.558773 + 0.127536i 0.492574 0.870270i \(-0.336056\pi\)
0.0661981 + 0.997806i \(0.478913\pi\)
\(702\) −213.593 + 48.7512i −0.304263 + 0.0694461i
\(703\) 604.968 291.337i 0.860552 0.414420i
\(704\) −285.783 + 32.2000i −0.405941 + 0.0457386i
\(705\) −43.9580 35.0554i −0.0623518 0.0497239i
\(706\) 339.906 + 971.396i 0.481454 + 1.37592i
\(707\) −834.599 94.0367i −1.18048 0.133008i
\(708\) −58.5078 58.5078i −0.0826381 0.0826381i
\(709\) −587.061 + 468.165i −0.828012 + 0.660318i −0.942906 0.333060i \(-0.891919\pi\)
0.114893 + 0.993378i \(0.463347\pi\)
\(710\) −926.886 582.401i −1.30547 0.820283i
\(711\) −305.312 + 485.902i −0.429413 + 0.683406i
\(712\) −161.103 202.017i −0.226269 0.283732i
\(713\) −408.956 + 408.956i −0.573571 + 0.573571i
\(714\) −22.9089 + 203.322i −0.0320852 + 0.284764i
\(715\) −36.1042 + 12.6334i −0.0504954 + 0.0176691i
\(716\) 223.685 280.492i 0.312409 0.391748i
\(717\) 18.4355 + 163.619i 0.0257119 + 0.228200i
\(718\) 441.982 + 917.785i 0.615574 + 1.27825i
\(719\) 147.275 + 645.255i 0.204834 + 0.897434i 0.967944 + 0.251166i \(0.0808141\pi\)
−0.763110 + 0.646268i \(0.776329\pi\)
\(720\) 53.9448 236.348i 0.0749234 0.328261i
\(721\) −940.433 452.889i −1.30435 0.628140i
\(722\) −2277.76 797.024i −3.15480 1.10391i
\(723\) −502.997 + 316.054i −0.695708 + 0.437142i
\(724\) 190.076i 0.262536i
\(725\) −112.761 + 50.6248i −0.155532 + 0.0698273i
\(726\) 556.036 0.765890
\(727\) −43.7196 69.5794i −0.0601370 0.0957075i 0.815302 0.579035i \(-0.196571\pi\)
−0.875439 + 0.483328i \(0.839428\pi\)
\(728\) 49.4278 141.257i 0.0678954 0.194034i
\(729\) 106.974 222.133i 0.146741 0.304710i
\(730\) 1044.27 + 238.348i 1.43051 + 0.326504i
\(731\) 6.32523 1.44369i 0.00865285 0.00197496i
\(732\) −466.019 + 224.423i −0.636638 + 0.306589i
\(733\) 531.014 59.8309i 0.724440 0.0816248i 0.257959 0.966156i \(-0.416950\pi\)
0.466481 + 0.884531i \(0.345522\pi\)
\(734\) 785.475 + 626.395i 1.07013 + 0.853400i
\(735\) 227.065 + 648.914i 0.308932 + 0.882876i
\(736\) 1772.94 + 199.763i 2.40889 + 0.271416i
\(737\) −119.839 119.839i −0.162604 0.162604i
\(738\) −331.056 + 264.009i −0.448586 + 0.357735i
\(739\) −592.189 372.097i −0.801338 0.503514i 0.0680274 0.997683i \(-0.478329\pi\)
−0.869366 + 0.494169i \(0.835472\pi\)
\(740\) −260.263 + 414.207i −0.351707 + 0.559739i
\(741\) 97.8621 + 122.715i 0.132068 + 0.165608i
\(742\) 830.760 830.760i 1.11962 1.11962i
\(743\) 90.3001 801.435i 0.121534 1.07865i −0.773855 0.633363i \(-0.781674\pi\)
0.895389 0.445284i \(-0.146897\pi\)
\(744\) 92.1280 32.2370i 0.123828 0.0433293i
\(745\) −649.021 + 813.846i −0.871169 + 1.09241i
\(746\) −141.114 1252.42i −0.189161 1.67885i
\(747\) 131.297 + 272.641i 0.175766 + 0.364982i
\(748\) 12.1976 + 53.4410i 0.0163069 + 0.0714451i
\(749\) 104.417 457.481i 0.139408 0.610788i
\(750\) −593.536 285.832i −0.791381 0.381109i
\(751\) 45.2480 + 15.8329i 0.0602503 + 0.0210825i 0.360236 0.932861i \(-0.382696\pi\)
−0.299986 + 0.953944i \(0.596982\pi\)
\(752\) −53.9385 + 33.8918i −0.0717268 + 0.0450689i
\(753\) 590.862i 0.784677i
\(754\) −220.363 + 130.356i −0.292258 + 0.172886i
\(755\) −383.151 −0.507485
\(756\) 854.693 + 1360.24i 1.13055 + 1.79925i
\(757\) 241.576 690.385i 0.319123 0.912002i −0.666864 0.745180i \(-0.732364\pi\)
0.985987 0.166822i \(-0.0533506\pi\)
\(758\) 494.555 1026.95i 0.652448 1.35482i
\(759\) 190.590 + 43.5009i 0.251107 + 0.0573135i
\(760\) 654.851 149.465i 0.861646 0.196665i
\(761\) −152.528 + 73.4534i −0.200431 + 0.0965222i −0.531407 0.847117i \(-0.678336\pi\)
0.330976 + 0.943639i \(0.392622\pi\)
\(762\) −787.995 + 88.7857i −1.03411 + 0.116517i
\(763\) 1049.12 + 836.648i 1.37500 + 1.09652i
\(764\) 253.538 + 724.571i 0.331856 + 0.948391i
\(765\) −100.417 11.3143i −0.131264 0.0147899i
\(766\) 932.589 + 932.589i 1.21748 + 1.21748i
\(767\) −21.3196 + 17.0018i −0.0277961 + 0.0221666i
\(768\) −9.24039 5.80612i −0.0120318 0.00756006i
\(769\) −247.966 + 394.636i −0.322453 + 0.513180i −0.968136 0.250425i \(-0.919430\pi\)
0.645683 + 0.763605i \(0.276573\pi\)
\(770\) 303.960 + 381.154i 0.394753 + 0.495005i
\(771\) −440.469 + 440.469i −0.571296 + 0.571296i