Properties

Label 29.3.f.a.26.1
Level $29$
Weight $3$
Character 29.26
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 26.1
Character \(\chi\) \(=\) 29.26
Dual form 29.3.f.a.19.1

$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{19}{28}\right)\)

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 0.134835 + 0.990868i \(0.456950\pi\)
−0.951244 + 0.308439i \(0.900193\pi\)
\(3\) 0.532023 + 1.52043i 0.177341 + 0.506811i 0.997902 0.0647482i \(-0.0206244\pi\)
−0.820561 + 0.571559i \(0.806339\pi\)
\(4\) −2.35117 4.88225i −0.587792 1.22056i
\(5\) −4.43970 + 1.01333i −0.887940 + 0.202667i −0.642079 0.766638i \(-0.721928\pi\)
−0.245861 + 0.969305i \(0.579071\pi\)
\(6\) −4.81972 1.10007i −0.803286 0.183345i
\(7\) 10.7635 + 5.18344i 1.53765 + 0.740491i 0.995038 0.0994954i \(-0.0317229\pi\)
0.542607 + 0.839986i \(0.317437\pi\)
\(8\) 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 0.0209122 0.999781i \(-0.493343\pi\)
0.242860 + 0.970061i \(0.421914\pi\)
\(12\) 6.17226 6.17226i 0.514355 0.514355i
\(13\) 2.24911 + 1.79360i 0.173008 + 0.137969i 0.706166 0.708046i \(-0.250423\pi\)
−0.533158 + 0.846016i \(0.678995\pi\)
\(14\) −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 0.775477 0.631376i \(-0.217510\pi\)
−0.631376 + 0.775477i \(0.717510\pi\)
\(18\) 2.20098 + 19.5342i 0.122276 + 1.08523i
\(19\) −31.9711 11.1872i −1.68269 0.588799i −0.691634 0.722248i \(-0.743109\pi\)
−0.991056 + 0.133450i \(0.957395\pi\)
\(20\) 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 −0.216647 0.976250i \(-0.569512\pi\)
0.618771 0.785571i \(-0.287631\pi\)
\(24\) 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 −0.705720 0.708491i \(-0.749376\pi\)
0.944529 + 0.328429i \(0.106519\pi\)
\(32\) 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 −0.158330 0.987386i \(-0.550611\pi\)
−0.374075 + 0.927399i \(0.622040\pi\)
\(38\) 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 −0.868022 0.496526i \(-0.834609\pi\)
0.496526 + 0.868022i \(0.334609\pi\)
\(42\) −46.1750 36.8233i −1.09940 0.876745i
\(43\) 1.58568 0.996350i 0.0368763 0.0231709i −0.513468 0.858109i \(-0.671639\pi\)
0.550344 + 0.834938i \(0.314497\pi\)
\(44\) −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 0.981274 0.192618i \(-0.0616979\pi\)
−0.999533 + 0.0305651i \(0.990269\pi\)
\(48\) 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 −0.996582 0.0826126i \(-0.973674\pi\)
0.862045 0.506832i \(-0.169184\pi\)
\(54\) −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 −0.985488 0.169747i \(-0.945705\pi\)
0.664650 0.747155i \(-0.268581\pi\)
\(62\) 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 −0.900620 0.434608i \(-0.856887\pi\)
0.223304 + 0.974749i \(0.428316\pi\)
\(68\) 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 0.0888143 0.996048i \(-0.471692\pi\)
−0.951312 + 0.308229i \(0.900264\pi\)
\(72\) 23.6171 14.8396i 0.328015 0.206106i
\(73\) 40.7753 + 64.8935i 0.558566 + 0.888952i 0.999965 0.00835868i \(-0.00266068\pi\)
−0.441399 + 0.897311i \(0.645518\pi\)
\(74\) 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 −0.755022 0.655700i \(-0.772374\pi\)
0.881999 0.471252i \(-0.156198\pi\)
\(80\) −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 −0.159523 0.987194i \(-0.550996\pi\)
0.672359 + 0.740225i \(0.265281\pi\)
\(84\) 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 −0.975648 0.219342i \(-0.929609\pi\)
0.620938 + 0.783860i \(0.286752\pi\)
\(90\) −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 0.498393 + 0.866951i \(0.333924\pi\)
−0.930195 + 0.367067i \(0.880362\pi\)
\(98\) −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 −0.793459 0.608623i \(-0.791722\pi\)
0.204082 + 0.978954i \(0.434579\pi\)
\(102\) −9.11206 14.5018i −0.0893339 0.142174i
\(103\) −54.4757 + 68.3104i −0.528891 + 0.663208i −0.972470 0.233027i \(-0.925137\pi\)
0.443580 + 0.896235i \(0.353708\pi\)
\(104\) 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 0.882987 0.469397i \(-0.155529\pi\)
−0.654111 + 0.756399i \(0.726957\pi\)
\(108\) 15.0559 133.625i 0.139407 1.23727i
\(109\) 48.7351 101.200i 0.447111 0.928436i −0.548614 0.836076i \(-0.684844\pi\)
0.995726 0.0923607i \(-0.0294413\pi\)
\(110\) 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 −0.471284 0.881982i \(-0.656209\pi\)
0.181442 + 0.983402i \(0.441924\pi\)
\(114\) 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 0.540725 0.841199i \(-0.318150\pi\)
0.714353 + 0.699786i \(0.246721\pi\)
\(128\) 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 −0.998238 0.0593336i \(-0.981102\pi\)
0.379662 0.925125i \(-0.376040\pi\)
\(132\) 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 −0.952038 0.305979i \(-0.901016\pi\)
0.996255 0.0864595i \(-0.0275553\pi\)
\(138\) −89.1537 + 185.130i −0.646041 + 1.34152i
\(139\) −10.2366 + 44.8495i −0.0736447 + 0.322658i −0.998309 0.0581239i \(-0.981488\pi\)
0.924665 + 0.380782i \(0.124345\pi\)
\(140\) 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 0.910852 + 0.412734i \(0.135426\pi\)
−0.245219 + 0.969468i \(0.578860\pi\)
\(150\) 20.5426 4.68871i 0.136951 0.0312581i
\(151\) 82.0279 + 18.7223i 0.543231 + 0.123989i 0.485326 0.874333i \(-0.338701\pi\)
0.0579049 + 0.998322i \(0.481558\pi\)
\(152\) −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 −0.993422 0.114510i \(-0.963470\pi\)
0.114510 + 0.993422i \(0.463470\pi\)
\(158\) 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 0.999972 + 0.00749896i \(0.00238702\pi\)
−0.973232 + 0.229826i \(0.926184\pi\)
\(164\) 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 −0.923944 0.382527i \(-0.875054\pi\)
0.875141 + 0.483867i \(0.160768\pi\)
\(168\) −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 \(0.215559\pi\)
−0.779332 + 0.626612i \(0.784441\pi\)
\(174\) −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 −0.398979 0.916960i \(-0.630635\pi\)
0.0383867 + 0.999263i \(0.487778\pi\)
\(180\) 154.099 + 35.1721i 0.856105 + 0.195400i
\(181\) −31.6029 15.2191i −0.174602 0.0840837i 0.344541 0.938771i \(-0.388034\pi\)
−0.519143 + 0.854687i \(0.673749\pi\)
\(182\) −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 0.918912 0.394463i \(-0.129069\pi\)
−0.394463 + 0.918912i \(0.629069\pi\)
\(192\) −17.7641 157.661i −0.0925213 0.821150i
\(193\) 27.8003 + 9.72774i 0.144043 + 0.0504028i 0.401338 0.915930i \(-0.368545\pi\)
−0.257295 + 0.966333i \(0.582831\pi\)
\(194\) −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 0.850714 + 0.525628i \(0.176170\pi\)
−0.994529 + 0.104464i \(0.966687\pi\)
\(198\) 12.7722 + 55.9589i 0.0645063 + 0.282621i
\(199\) 272.856 131.401i 1.37114 0.660304i 0.404046 0.914739i \(-0.367604\pi\)
0.967090 + 0.254435i \(0.0818894\pi\)
\(200\) −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 0.383076 0.923717i \(-0.374865\pi\)
0.167925 + 0.985800i \(0.446293\pi\)
\(212\) −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 0.997562 0.0697862i \(-0.0222317\pi\)
−0.290015 + 0.957022i \(0.593660\pi\)
\(224\) −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 0.905409 0.424540i \(-0.139564\pi\)
−0.999946 + 0.0103453i \(0.996707\pi\)
\(228\) −266.384 + 128.284i −1.16835 + 0.562649i
\(229\) 56.9198 19.9171i 0.248558 0.0869742i −0.203125 0.979153i \(-0.565110\pi\)
0.451683 + 0.892179i \(0.350824\pi\)
\(230\) −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 0.231180 0.972911i \(-0.425741\pi\)
−0.616514 + 0.787344i \(0.711456\pi\)
\(240\) −60.5834 6.82611i −0.252431 0.0284421i
\(241\) −288.328 + 229.934i −1.19638 + 0.954084i −0.999652 0.0263733i \(-0.991604\pi\)
−0.196731 + 0.980457i \(0.563033\pi\)
\(242\) 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 −0.464202 0.885729i \(-0.653659\pi\)
−0.915171 + 0.403066i \(0.867945\pi\)
\(252\) −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 −0.963670 0.267097i \(-0.913936\pi\)
−0.392013 + 0.919960i \(0.628221\pi\)
\(258\) −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 −0.300763 0.953699i \(-0.597241\pi\)
0.989749 0.142816i \(-0.0456157\pi\)
\(264\) 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 0.244506 0.969648i \(-0.421374\pi\)
0.0226084 + 0.999744i \(0.492803\pi\)
\(270\) 271.151 216.236i 1.00426 0.800874i
\(271\) 110.702 316.368i 0.408495 1.16741i −0.537510 0.843257i \(-0.680635\pi\)
0.946005 0.324153i \(-0.105079\pi\)
\(272\) 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 −0.994951 0.100362i \(-0.968000\pi\)
0.319244 + 0.947673i \(0.396571\pi\)
\(278\) −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 0.999742 0.0227058i \(-0.00722811\pi\)
−0.244600 + 0.969624i \(0.578657\pi\)
\(282\) −4.24252 + 37.6534i −0.0150444 + 0.133523i
\(283\) 43.3073 89.9286i 0.153029 0.317769i −0.810334 0.585968i \(-0.800714\pi\)
0.963363 + 0.268199i \(0.0864286\pi\)
\(284\) −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 0.789307 0.613999i \(-0.210440\pi\)
−0.999927 + 0.0120814i \(0.996154\pi\)
\(294\) −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 0.911879 0.410460i \(-0.134632\pi\)
−0.410460 + 0.911879i \(0.634632\pi\)
\(308\) −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 −0.991395 0.130906i \(-0.958211\pi\)
0.995668 + 0.0929819i \(0.0296399\pi\)
\(312\) −8.75525 + 18.1805i −0.0280617 + 0.0582707i
\(313\) −66.0161 + 289.235i −0.210914 + 0.924074i 0.753034 + 0.657982i \(0.228590\pi\)
−0.963948 + 0.266092i \(0.914267\pi\)
\(314\) −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 0.825566 0.564305i \(-0.190856\pi\)
−0.150221 + 0.988652i \(0.547999\pi\)
\(318\) 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 −0.855604 0.517631i \(-0.826814\pi\)
0.517631 + 0.855604i \(0.326814\pi\)
\(332\) −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 −0.500220 0.865898i \(-0.666748\pi\)
0.294998 0.955498i \(-0.404681\pi\)
\(338\) 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 \(-0.908928\pi\)
0.959348 0.282225i \(-0.0910724\pi\)
\(348\) 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 −0.658887 0.752242i \(-0.728973\pi\)
−0.267251 + 0.963627i \(0.586115\pi\)
\(354\) 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 −0.558658 0.829398i \(-0.688683\pi\)
−0.360093 + 0.932917i \(0.617255\pi\)
\(360\) −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 −0.125348 0.992113i \(-0.540005\pi\)
−0.716573 + 0.697512i \(0.754290\pi\)
\(368\) −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 0.133752 0.991015i \(-0.457298\pi\)
0.858199 + 0.513316i \(0.171583\pi\)
\(374\) −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 −0.477440 0.878665i \(-0.658435\pi\)
0.998803 + 0.0489200i \(0.0155779\pi\)
\(380\) −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 −0.362748 0.931887i \(-0.618162\pi\)
−0.731156 + 0.682211i \(0.761019\pi\)
\(384\) 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 −0.285768 0.958299i \(-0.592249\pi\)
0.958299 + 0.285768i \(0.0922487\pi\)
\(390\) 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 0.649931 0.759993i \(-0.274798\pi\)
−0.885562 + 0.464521i \(0.846226\pi\)
\(398\) −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 0.997222 + 0.0744818i \(0.0237303\pi\)
−0.866150 + 0.499784i \(0.833413\pi\)
\(402\) 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 0.958744 0.284273i \(-0.0917521\pi\)
−0.926817 + 0.375514i \(0.877466\pi\)
\(410\) 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 0.998708 0.0508160i \(-0.0161822\pi\)
0.172691 + 0.984976i \(0.444754\pi\)
\(420\) −402.094 + 252.652i −0.957366 + 0.601553i
\(421\) −188.794 300.464i −0.448442 0.713692i 0.543635 0.839322i \(-0.317048\pi\)
−0.992077 + 0.125630i \(0.959905\pi\)
\(422\) −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 −0.862742 0.505644i \(-0.831255\pi\)
−0.142583 + 0.989783i \(0.545541\pi\)
\(432\) 194.670 68.1178i 0.450624 0.157680i
\(433\) 255.849 + 160.760i 0.590875 + 0.371271i 0.794033 0.607875i \(-0.207978\pi\)
−0.203158 + 0.979146i \(0.565121\pi\)
\(434\) 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 0.958747 0.284262i \(-0.0917484\pi\)
−0.820013 + 0.572344i \(0.806034\pi\)
\(440\) −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 −0.417661 0.908603i \(-0.637150\pi\)
−0.609372 + 0.792884i \(0.708579\pi\)
\(444\) −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 0.0274722 0.999623i \(-0.491254\pi\)
0.912549 + 0.408968i \(0.134111\pi\)
\(450\) −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 −0.905543 0.424256i \(-0.860536\pi\)
0.896293 + 0.443463i \(0.146250\pi\)
\(458\) −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 0.622364 0.782728i \(-0.286172\pi\)
0.974607 + 0.223924i \(0.0718867\pi\)
\(462\) −146.015 91.7471i −0.316049 0.198587i
\(463\) 21.7764i 0.0470332i −0.999723 0.0235166i \(-0.992514\pi\)
0.999723 0.0235166i \(-0.00748626\pi\)
\(464\) 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 0.797783 0.602944i \(-0.206006\pi\)
−0.999662 + 0.0260088i \(0.991720\pi\)
\(468\) −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 0.951636 + 0.307229i \(0.0994017\pi\)
−0.136095 + 0.990696i \(0.543455\pi\)
\(480\) 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 0.588790 + 0.808286i \(0.299604\pi\)
−0.881184 + 0.472774i \(0.843253\pi\)
\(488\) −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 0.639713 0.768614i \(-0.279053\pi\)
−0.414936 + 0.909851i \(0.636196\pi\)
\(492\) 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 0.288435 0.957499i \(-0.406865\pi\)
−0.155572 + 0.987825i \(0.549722\pi\)
\(500\) −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 0.187106 + 0.982340i \(0.440089\pi\)
−0.758764 + 0.651365i \(0.774197\pi\)
\(504\) 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 −0.910115 0.414355i \(-0.864007\pi\)
0.606486 + 0.795094i \(0.292579\pi\)
\(510\) 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 \(0.0773182\pi\)
−0.970644 + 0.240521i \(0.922682\pi\)
\(522\) −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 −0.397789 0.917477i \(-0.630222\pi\)
−0.883041 + 0.469295i \(0.844508\pi\)
\(542\) 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 −0.918246 0.396010i \(-0.870394\pi\)
−0.262904 + 0.964822i \(0.584680\pi\)
\(548\) −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 0.476872 0.878973i \(-0.341771\pi\)
0.0482744 + 0.998834i \(0.484628\pi\)
\(558\) 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 0.423743 0.905782i \(-0.360716\pi\)
0.905782 0.423743i \(-0.139284\pi\)
\(564\) −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 −0.983059 0.183290i \(-0.941325\pi\)
0.917626 0.397445i \(-0.130103\pi\)
\(570\) −719.760 251.855i −1.26274 0.441851i
\(571\) 632.274 + 792.847i 1.10731 + 1.38852i 0.913184 + 0.407546i \(0.133616\pi\)
0.194126 + 0.980977i \(0.437813\pi\)
\(572\) 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 0.243034 0.970018i \(-0.421857\pi\)
0.794808 + 0.606861i \(0.207572\pi\)
\(578\) 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 0.333825 0.942635i \(-0.391661\pi\)
−0.528846 + 0.848718i \(0.677375\pi\)
\(588\) 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 0.553690 0.832723i \(-0.313219\pi\)
−0.688637 + 0.725106i \(0.741791\pi\)
\(594\) −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 0.749383 0.662137i \(-0.230350\pi\)
0.173055 + 0.984912i \(0.444636\pi\)
\(600\) −18.6407 23.3747i −0.0310678 0.0389578i
\(601\) −97.2205 + 862.856i −0.161765 + 1.43570i 0.606253 + 0.795272i \(0.292672\pi\)
−0.768018 + 0.640429i \(0.778757\pi\)
\(602\) −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 0.541950 0.840410i \(-0.317686\pi\)
−0.522040 + 0.852921i \(0.674829\pi\)
\(608\) 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 0.655155 0.755495i \(-0.272603\pi\)
−0.999152 + 0.0411775i \(0.986889\pi\)
\(614\) −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 0.184764 0.982783i \(-0.440848\pi\)
−0.0385585 + 0.999256i \(0.512277\pi\)
\(618\) 337.704 269.310i 0.546446 0.435776i
\(619\) 357.144 1020.66i 0.576969 1.64888i −0.171094 0.985255i \(-0.554730\pi\)
0.748063 0.663628i \(-0.230984\pi\)
\(620\) 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 −0.927951 0.372702i \(-0.878432\pi\)
0.869958 + 0.493126i \(0.164146\pi\)
\(632\) 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 0.953233 + 0.302235i \(0.0977328\pi\)
−0.556827 + 0.830628i \(0.687982\pi\)
\(642\) −84.2516 174.950i −0.131233 0.272508i
\(643\) −511.993 + 116.859i −0.796256 + 0.181740i −0.601249 0.799062i \(-0.705330\pi\)
−0.195007 + 0.980802i \(0.562473\pi\)
\(644\) −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 0.252907 0.967491i \(-0.418613\pi\)
0.999511 0.0312788i \(-0.00995796\pi\)
\(648\) 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 0.952513 0.304497i \(-0.0984885\pi\)
−0.687623 + 0.726068i \(0.741346\pi\)
\(654\) −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 0.800395 + 0.599473i \(0.204623\pi\)
−0.913723 + 0.406339i \(0.866805\pi\)
\(660\) −50.3588 + 104.571i −0.0763013 + 0.158441i
\(661\) 156.741 686.726i 0.237127 1.03892i −0.706450 0.707763i \(-0.749704\pi\)
0.943576 0.331156i \(-0.107439\pi\)
\(662\) −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 −0.387328 0.921942i \(-0.626602\pi\)
−0.748986 + 0.662586i \(0.769459\pi\)
\(674\) 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 −0.784813 0.619733i \(-0.787241\pi\)
0.999988 + 0.00479615i \(0.00152667\pi\)
\(678\) 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 −0.652148 0.758092i \(-0.726132\pi\)
0.884202 + 0.467106i \(0.154703\pi\)
\(684\) 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 −0.994157 0.107940i \(-0.965575\pi\)
0.848871 0.528599i \(-0.177283\pi\)
\(692\) 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 0.0661981 0.997806i \(-0.478913\pi\)
0.492574 + 0.870270i \(0.336056\pi\)
\(702\) −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 0.114893 0.993378i \(-0.463347\pi\)
−0.942906 + 0.333060i \(0.891919\pi\)
\(710\) −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 −0.763110 0.646268i \(-0.776329\pi\)
0.967944 0.251166i \(-0.0808141\pi\)
\(720\) 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 −0.875439 0.483328i \(-0.839428\pi\)
0.815302 + 0.579035i \(0.196571\pi\)
\(728\) 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 0.466481 0.884531i \(-0.345522\pi\)
0.257959 + 0.966156i \(0.416950\pi\)
\(734\) 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 −0.869366 0.494169i \(-0.835472\pi\)
0.0680274 + 0.997683i \(0.478329\pi\)
\(740\) −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 0.895389 + 0.445284i \(0.146897\pi\)
−0.773855 + 0.633363i \(0.781674\pi\)
\(744\) 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 −0.299986 0.953944i \(-0.596982\pi\)
0.360236 + 0.932861i \(0.382696\pi\)
\(752\) −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 0.985987 + 0.166822i \(0.0533506\pi\)
−0.666864 + 0.745180i \(0.732364\pi\)
\(758\) 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 0.330976 0.943639i \(-0.392622\pi\)
−0.531407 + 0.847117i \(0.678336\pi\)
\(762\) −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 0.645683 0.763605i \(-0.276573\pi\)
−0.968136 + 0.250425i \(0.919430\pi\)
\(770\) 303.960 381.154i 0.394753 0.495005i
\(771\) −440.469 440.469i −0.571296 0.571296i
\(772\)