Properties

Label 49.4.e.a.15.5
Level $49$
Weight $4$
Character 49.15
Analytic conductor $2.891$
Analytic rank $0$
Dimension $78$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 49 = 7^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 49.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.89109359028\)
Analytic rank: \(0\)
Dimension: \(78\)
Relative dimension: \(13\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 15.5
Character \(\chi\) \(=\) 49.15
Dual form 49.4.e.a.36.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.424669 + 1.86059i) q^{2} +(0.113640 - 0.142500i) q^{3} +(3.92628 + 1.89080i) q^{4} +(11.1399 - 13.9690i) q^{5} +(0.216876 + 0.271954i) q^{6} +(1.18252 + 18.4825i) q^{7} +(-14.7045 + 18.4389i) q^{8} +(6.00067 + 26.2907i) q^{9} +O(q^{10})\) \(q+(-0.424669 + 1.86059i) q^{2} +(0.113640 - 0.142500i) q^{3} +(3.92628 + 1.89080i) q^{4} +(11.1399 - 13.9690i) q^{5} +(0.216876 + 0.271954i) q^{6} +(1.18252 + 18.4825i) q^{7} +(-14.7045 + 18.4389i) q^{8} +(6.00067 + 26.2907i) q^{9} +(21.2598 + 26.6590i) q^{10} +(4.46612 - 19.5674i) q^{11} +(0.715623 - 0.344626i) q^{12} +(9.93444 - 43.5256i) q^{13} +(-34.8906 - 5.64874i) q^{14} +(-0.724644 - 3.17487i) q^{15} +(-6.32621 - 7.93281i) q^{16} +(9.17124 - 4.41664i) q^{17} -51.4646 q^{18} -51.5845 q^{19} +(70.1508 - 33.7828i) q^{20} +(2.76814 + 1.93184i) q^{21} +(34.5103 + 16.6193i) q^{22} +(-140.115 - 67.4759i) q^{23} +(0.956524 + 4.19080i) q^{24} +(-43.2200 - 189.359i) q^{25} +(76.7647 + 36.9680i) q^{26} +(8.86215 + 4.26779i) q^{27} +(-30.3037 + 74.8033i) q^{28} +(235.771 - 113.541i) q^{29} +6.21489 q^{30} -211.476 q^{31} +(-152.543 + 73.4609i) q^{32} +(-2.28083 - 2.86007i) q^{33} +(4.32283 + 18.9396i) q^{34} +(271.354 + 189.374i) q^{35} +(-26.1500 + 114.571i) q^{36} +(-295.222 + 142.172i) q^{37} +(21.9063 - 95.9779i) q^{38} +(-5.07347 - 6.36193i) q^{39} +(93.7657 + 410.814i) q^{40} +(157.381 - 197.349i) q^{41} +(-4.76992 + 4.32999i) q^{42} +(-12.1868 - 15.2817i) q^{43} +(54.5332 - 68.3825i) q^{44} +(434.100 + 209.052i) q^{45} +(185.048 - 232.042i) q^{46} +(-1.76856 + 7.74855i) q^{47} -1.84934 q^{48} +(-340.203 + 43.7116i) q^{49} +370.675 q^{50} +(0.412850 - 1.80881i) q^{51} +(121.304 - 152.110i) q^{52} +(-233.910 - 112.645i) q^{53} +(-11.7041 + 14.6765i) q^{54} +(-223.584 - 280.365i) q^{55} +(-358.185 - 249.972i) q^{56} +(-5.86208 + 7.35081i) q^{57} +(111.130 + 486.891i) q^{58} +(553.795 + 694.437i) q^{59} +(3.15789 - 13.8356i) q^{60} +(-179.224 + 86.3096i) q^{61} +(89.8072 - 393.471i) q^{62} +(-478.821 + 141.996i) q^{63} +(-89.9630 - 394.154i) q^{64} +(-497.340 - 623.644i) q^{65} +(6.29002 - 3.02911i) q^{66} +454.487 q^{67} +44.3598 q^{68} +(-25.5381 + 12.2985i) q^{69} +(-467.584 + 424.459i) q^{70} +(-9.57888 - 4.61295i) q^{71} +(-573.008 - 275.946i) q^{72} +(-6.65675 - 29.1651i) q^{73} +(-139.152 - 609.665i) q^{74} +(-31.8953 - 15.3600i) q^{75} +(-202.535 - 97.5359i) q^{76} +(366.935 + 59.4063i) q^{77} +(13.9915 - 6.73796i) q^{78} +906.648 q^{79} -181.286 q^{80} +(-654.383 + 315.134i) q^{81} +(300.352 + 376.630i) q^{82} +(-26.1418 - 114.535i) q^{83} +(7.21577 + 12.8190i) q^{84} +(40.4707 - 177.314i) q^{85} +(33.6084 - 16.1850i) q^{86} +(10.6134 - 46.5003i) q^{87} +(295.129 + 370.080i) q^{88} +(-46.7664 - 204.897i) q^{89} +(-573.309 + 718.907i) q^{90} +(816.209 + 132.143i) q^{91} +(-422.548 - 529.858i) q^{92} +(-24.0322 + 30.1354i) q^{93} +(-13.6659 - 6.58114i) q^{94} +(-574.645 + 720.582i) q^{95} +(-6.86683 + 30.0856i) q^{96} +1208.12 q^{97} +(63.1441 - 651.543i) q^{98} +541.239 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9} + 9 q^{10} - 103 q^{11} + 364 q^{12} - 35 q^{13} + 161 q^{14} - 245 q^{15} - 205 q^{16} - 285 q^{17} + 16 q^{18} + 628 q^{19} + 553 q^{20} - 21 q^{21} - 605 q^{22} + 149 q^{23} + 653 q^{24} - 370 q^{25} - 511 q^{26} - 65 q^{27} + 70 q^{28} - 187 q^{29} + 84 q^{30} + 1276 q^{31} + 1399 q^{32} - 23 q^{33} - 765 q^{34} - 805 q^{35} - 1691 q^{36} - 1531 q^{37} - 1041 q^{38} - 1351 q^{39} - 1759 q^{40} - 301 q^{41} + 3395 q^{42} - 257 q^{43} - 883 q^{44} + 3105 q^{45} + 1593 q^{46} + 733 q^{47} - 1948 q^{48} + 1288 q^{49} + 6148 q^{50} + 1197 q^{51} - 1099 q^{52} - 285 q^{53} + 660 q^{54} + 2641 q^{55} - 1988 q^{56} - 2352 q^{57} + 1173 q^{58} - 3603 q^{59} - 175 q^{60} - 2613 q^{61} - 1927 q^{62} - 3066 q^{63} + 1589 q^{64} - 371 q^{65} - 2175 q^{66} + 352 q^{67} + 6076 q^{68} + 5549 q^{69} - 6293 q^{70} - 2623 q^{71} + 6220 q^{72} + 2039 q^{73} - 2411 q^{74} - 3903 q^{75} + 4130 q^{76} + 1029 q^{77} - 3759 q^{78} + 44 q^{79} - 1608 q^{80} + 1394 q^{81} - 10920 q^{82} - 553 q^{83} - 7798 q^{84} + 497 q^{85} - 2985 q^{86} - 4273 q^{87} - 2197 q^{88} - 3957 q^{89} - 2958 q^{90} + 14119 q^{91} - 9136 q^{92} + 6272 q^{93} + 14912 q^{94} + 5866 q^{95} + 21882 q^{96} - 1540 q^{97} - 2303 q^{98} + 10768 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.424669 + 1.86059i −0.150143 + 0.657820i 0.842699 + 0.538385i \(0.180965\pi\)
−0.992842 + 0.119435i \(0.961892\pi\)
\(3\) 0.113640 0.142500i 0.0218701 0.0274242i −0.770776 0.637106i \(-0.780131\pi\)
0.792646 + 0.609682i \(0.208703\pi\)
\(4\) 3.92628 + 1.89080i 0.490785 + 0.236350i
\(5\) 11.1399 13.9690i 0.996381 1.24942i 0.0280878 0.999605i \(-0.491058\pi\)
0.968293 0.249817i \(-0.0803704\pi\)
\(6\) 0.216876 + 0.271954i 0.0147565 + 0.0185041i
\(7\) 1.18252 + 18.4825i 0.0638498 + 0.997960i
\(8\) −14.7045 + 18.4389i −0.649855 + 0.814892i
\(9\) 6.00067 + 26.2907i 0.222247 + 0.973728i
\(10\) 21.2598 + 26.6590i 0.672295 + 0.843031i
\(11\) 4.46612 19.5674i 0.122417 0.536344i −0.876111 0.482109i \(-0.839871\pi\)
0.998528 0.0542349i \(-0.0172720\pi\)
\(12\) 0.715623 0.344626i 0.0172152 0.00829041i
\(13\) 9.93444 43.5256i 0.211948 0.928603i −0.751294 0.659967i \(-0.770570\pi\)
0.963242 0.268636i \(-0.0865728\pi\)
\(14\) −34.8906 5.64874i −0.666064 0.107835i
\(15\) −0.724644 3.17487i −0.0124735 0.0546499i
\(16\) −6.32621 7.93281i −0.0988470 0.123950i
\(17\) 9.17124 4.41664i 0.130844 0.0630113i −0.367316 0.930096i \(-0.619723\pi\)
0.498161 + 0.867085i \(0.334009\pi\)
\(18\) −51.4646 −0.673906
\(19\) −51.5845 −0.622858 −0.311429 0.950269i \(-0.600808\pi\)
−0.311429 + 0.950269i \(0.600808\pi\)
\(20\) 70.1508 33.7828i 0.784310 0.377704i
\(21\) 2.76814 + 1.93184i 0.0287647 + 0.0200744i
\(22\) 34.5103 + 16.6193i 0.334438 + 0.161057i
\(23\) −140.115 67.4759i −1.27026 0.611726i −0.327392 0.944889i \(-0.606170\pi\)
−0.942869 + 0.333163i \(0.891884\pi\)
\(24\) 0.956524 + 4.19080i 0.00813540 + 0.0356435i
\(25\) −43.2200 189.359i −0.345760 1.51487i
\(26\) 76.7647 + 36.9680i 0.579031 + 0.278847i
\(27\) 8.86215 + 4.26779i 0.0631675 + 0.0304199i
\(28\) −30.3037 + 74.8033i −0.204531 + 0.504875i
\(29\) 235.771 113.541i 1.50971 0.727037i 0.517980 0.855393i \(-0.326684\pi\)
0.991728 + 0.128356i \(0.0409700\pi\)
\(30\) 6.21489 0.0378226
\(31\) −211.476 −1.22523 −0.612616 0.790381i \(-0.709883\pi\)
−0.612616 + 0.790381i \(0.709883\pi\)
\(32\) −152.543 + 73.4609i −0.842689 + 0.405818i
\(33\) −2.28083 2.86007i −0.0120315 0.0150871i
\(34\) 4.32283 + 18.9396i 0.0218047 + 0.0955326i
\(35\) 271.354 + 189.374i 1.31049 + 0.914572i
\(36\) −26.1500 + 114.571i −0.121065 + 0.530420i
\(37\) −295.222 + 142.172i −1.31174 + 0.631699i −0.953348 0.301874i \(-0.902388\pi\)
−0.358388 + 0.933573i \(0.616674\pi\)
\(38\) 21.9063 95.9779i 0.0935178 0.409728i
\(39\) −5.07347 6.36193i −0.0208309 0.0261211i
\(40\) 93.7657 + 410.814i 0.370641 + 1.62389i
\(41\) 157.381 197.349i 0.599481 0.751726i −0.385816 0.922576i \(-0.626080\pi\)
0.985297 + 0.170850i \(0.0546514\pi\)
\(42\) −4.76992 + 4.32999i −0.0175242 + 0.0159079i
\(43\) −12.1868 15.2817i −0.0432201 0.0541963i 0.759752 0.650213i \(-0.225320\pi\)
−0.802972 + 0.596017i \(0.796749\pi\)
\(44\) 54.5332 68.3825i 0.186845 0.234296i
\(45\) 434.100 + 209.052i 1.43804 + 0.692524i
\(46\) 185.048 232.042i 0.593126 0.743756i
\(47\) −1.76856 + 7.74855i −0.00548874 + 0.0240477i −0.977598 0.210480i \(-0.932497\pi\)
0.972109 + 0.234528i \(0.0753544\pi\)
\(48\) −1.84934 −0.00556103
\(49\) −340.203 + 43.7116i −0.991846 + 0.127439i
\(50\) 370.675 1.04843
\(51\) 0.412850 1.80881i 0.00113354 0.00496636i
\(52\) 121.304 152.110i 0.323496 0.405651i
\(53\) −233.910 112.645i −0.606228 0.291944i 0.105478 0.994422i \(-0.466363\pi\)
−0.711706 + 0.702478i \(0.752077\pi\)
\(54\) −11.7041 + 14.6765i −0.0294949 + 0.0369855i
\(55\) −223.584 280.365i −0.548146 0.687353i
\(56\) −358.185 249.972i −0.854723 0.596498i
\(57\) −5.86208 + 7.35081i −0.0136220 + 0.0170814i
\(58\) 111.130 + 486.891i 0.251587 + 1.10227i
\(59\) 553.795 + 694.437i 1.22200 + 1.53234i 0.766705 + 0.641999i \(0.221895\pi\)
0.455295 + 0.890341i \(0.349534\pi\)
\(60\) 3.15789 13.8356i 0.00679469 0.0297695i
\(61\) −179.224 + 86.3096i −0.376184 + 0.181161i −0.612416 0.790536i \(-0.709802\pi\)
0.236231 + 0.971697i \(0.424088\pi\)
\(62\) 89.8072 393.471i 0.183960 0.805981i
\(63\) −478.821 + 141.996i −0.957551 + 0.283966i
\(64\) −89.9630 394.154i −0.175709 0.769832i
\(65\) −497.340 623.644i −0.949037 1.19005i
\(66\) 6.29002 3.02911i 0.0117310 0.00564936i
\(67\) 454.487 0.828723 0.414362 0.910112i \(-0.364005\pi\)
0.414362 + 0.910112i \(0.364005\pi\)
\(68\) 44.3598 0.0791091
\(69\) −25.5381 + 12.2985i −0.0445568 + 0.0214574i
\(70\) −467.584 + 424.459i −0.798385 + 0.724750i
\(71\) −9.57888 4.61295i −0.0160113 0.00771065i 0.425861 0.904789i \(-0.359971\pi\)
−0.441872 + 0.897078i \(0.645686\pi\)
\(72\) −573.008 275.946i −0.937912 0.451675i
\(73\) −6.65675 29.1651i −0.0106728 0.0467605i 0.969311 0.245837i \(-0.0790629\pi\)
−0.979984 + 0.199077i \(0.936206\pi\)
\(74\) −139.152 609.665i −0.218596 0.957731i
\(75\) −31.8953 15.3600i −0.0491060 0.0236482i
\(76\) −202.535 97.5359i −0.305689 0.147212i
\(77\) 366.935 + 59.4063i 0.543066 + 0.0879217i
\(78\) 13.9915 6.73796i 0.0203106 0.00978107i
\(79\) 906.648 1.29121 0.645607 0.763670i \(-0.276604\pi\)
0.645607 + 0.763670i \(0.276604\pi\)
\(80\) −181.286 −0.253355
\(81\) −654.383 + 315.134i −0.897645 + 0.432283i
\(82\) 300.352 + 376.630i 0.404492 + 0.507217i
\(83\) −26.1418 114.535i −0.0345715 0.151468i 0.954696 0.297582i \(-0.0961803\pi\)
−0.989268 + 0.146115i \(0.953323\pi\)
\(84\) 7.21577 + 12.8190i 0.00937268 + 0.0166507i
\(85\) 40.4707 177.314i 0.0516431 0.226263i
\(86\) 33.6084 16.1850i 0.0421406 0.0202938i
\(87\) 10.6134 46.5003i 0.0130790 0.0573029i
\(88\) 295.129 + 370.080i 0.357509 + 0.448302i
\(89\) −46.7664 204.897i −0.0556992 0.244034i 0.939413 0.342788i \(-0.111371\pi\)
−0.995112 + 0.0987542i \(0.968514\pi\)
\(90\) −573.309 + 718.907i −0.671468 + 0.841994i
\(91\) 816.209 + 132.143i 0.940241 + 0.152224i
\(92\) −422.548 529.858i −0.478844 0.600452i
\(93\) −24.0322 + 30.1354i −0.0267959 + 0.0336010i
\(94\) −13.6659 6.58114i −0.0149950 0.00722119i
\(95\) −574.645 + 720.582i −0.620604 + 0.778212i
\(96\) −6.86683 + 30.0856i −0.00730045 + 0.0319854i
\(97\) 1208.12 1.26460 0.632298 0.774726i \(-0.282112\pi\)
0.632298 + 0.774726i \(0.282112\pi\)
\(98\) 63.1441 651.543i 0.0650869 0.671590i
\(99\) 541.239 0.549460
\(100\) 188.346 825.197i 0.188346 0.825197i
\(101\) 1057.44 1325.99i 1.04177 1.30634i 0.0912033 0.995832i \(-0.470929\pi\)
0.950570 0.310510i \(-0.100500\pi\)
\(102\) 3.19014 + 1.53629i 0.00309678 + 0.00149133i
\(103\) −1135.31 + 1423.63i −1.08607 + 1.36189i −0.158883 + 0.987297i \(0.550789\pi\)
−0.927189 + 0.374594i \(0.877782\pi\)
\(104\) 656.484 + 823.205i 0.618976 + 0.776172i
\(105\) 57.8226 17.1476i 0.0537420 0.0159374i
\(106\) 308.922 387.376i 0.283067 0.354955i
\(107\) 170.878 + 748.666i 0.154387 + 0.676413i 0.991579 + 0.129504i \(0.0413386\pi\)
−0.837192 + 0.546909i \(0.815804\pi\)
\(108\) 26.7258 + 33.5131i 0.0238119 + 0.0298592i
\(109\) −108.098 + 473.609i −0.0949901 + 0.416179i −0.999957 0.00930378i \(-0.997038\pi\)
0.904967 + 0.425483i \(0.139896\pi\)
\(110\) 616.595 296.937i 0.534455 0.257380i
\(111\) −13.2896 + 58.2257i −0.0113639 + 0.0497886i
\(112\) 139.137 126.305i 0.117386 0.106559i
\(113\) 226.713 + 993.294i 0.188738 + 0.826914i 0.977283 + 0.211937i \(0.0679773\pi\)
−0.788546 + 0.614976i \(0.789166\pi\)
\(114\) −11.1874 14.0286i −0.00919123 0.0115254i
\(115\) −2503.43 + 1205.59i −2.02997 + 0.977581i
\(116\) 1140.39 0.912777
\(117\) 1203.93 0.951312
\(118\) −1527.25 + 735.483i −1.19148 + 0.573786i
\(119\) 92.4755 + 164.284i 0.0712371 + 0.126554i
\(120\) 69.1968 + 33.3234i 0.0526398 + 0.0253500i
\(121\) 836.254 + 402.719i 0.628290 + 0.302568i
\(122\) −84.4765 370.116i −0.0626897 0.274662i
\(123\) −10.2375 44.8536i −0.00750478 0.0328806i
\(124\) −830.314 399.858i −0.601326 0.289583i
\(125\) −1114.42 536.675i −0.797412 0.384014i
\(126\) −60.8577 951.192i −0.0430288 0.672531i
\(127\) −1151.59 + 554.576i −0.804622 + 0.387485i −0.790536 0.612415i \(-0.790198\pi\)
−0.0140857 + 0.999901i \(0.504484\pi\)
\(128\) −582.915 −0.402523
\(129\) −3.56256 −0.00243152
\(130\) 1371.55 660.506i 0.925333 0.445617i
\(131\) −933.095 1170.06i −0.622327 0.780374i 0.366343 0.930480i \(-0.380610\pi\)
−0.988670 + 0.150106i \(0.952038\pi\)
\(132\) −3.54736 15.5420i −0.00233908 0.0102482i
\(133\) −60.9995 953.409i −0.0397694 0.621587i
\(134\) −193.006 + 845.616i −0.124427 + 0.545150i
\(135\) 158.340 76.2525i 0.100946 0.0486131i
\(136\) −53.4209 + 234.052i −0.0336824 + 0.147572i
\(137\) −786.111 985.751i −0.490233 0.614733i 0.473762 0.880653i \(-0.342896\pi\)
−0.963995 + 0.265920i \(0.914324\pi\)
\(138\) −12.0373 52.7387i −0.00742522 0.0325320i
\(139\) 1291.21 1619.12i 0.787905 0.988002i −0.212037 0.977262i \(-0.568010\pi\)
0.999942 0.0107404i \(-0.00341883\pi\)
\(140\) 707.345 + 1256.61i 0.427011 + 0.758593i
\(141\) 0.903193 + 1.13257i 0.000539451 + 0.000676450i
\(142\) 12.6507 15.8634i 0.00747620 0.00937486i
\(143\) −807.314 388.782i −0.472105 0.227354i
\(144\) 170.597 213.922i 0.0987253 0.123798i
\(145\) 1040.40 4558.31i 0.595868 2.61067i
\(146\) 57.0914 0.0323624
\(147\) −32.4319 + 53.4465i −0.0181968 + 0.0299877i
\(148\) −1427.94 −0.793082
\(149\) −337.671 + 1479.43i −0.185658 + 0.813421i 0.793213 + 0.608944i \(0.208407\pi\)
−0.978871 + 0.204477i \(0.934451\pi\)
\(150\) 42.1236 52.8213i 0.0229292 0.0287523i
\(151\) 1393.21 + 670.937i 0.750849 + 0.361590i 0.769846 0.638230i \(-0.220333\pi\)
−0.0189971 + 0.999820i \(0.506047\pi\)
\(152\) 758.526 951.162i 0.404767 0.507562i
\(153\) 171.150 + 214.615i 0.0904357 + 0.113403i
\(154\) −266.357 + 657.489i −0.139374 + 0.344039i
\(155\) −2355.82 + 2954.10i −1.22080 + 1.53083i
\(156\) −7.89075 34.5716i −0.00404978 0.0177432i
\(157\) −1870.40 2345.41i −0.950793 1.19226i −0.981254 0.192721i \(-0.938269\pi\)
0.0304601 0.999536i \(-0.490303\pi\)
\(158\) −385.025 + 1686.90i −0.193867 + 0.849386i
\(159\) −42.6337 + 20.5313i −0.0212646 + 0.0102405i
\(160\) −673.139 + 2949.21i −0.332602 + 1.45722i
\(161\) 1081.43 2669.46i 0.529371 1.30673i
\(162\) −308.441 1351.37i −0.149589 0.655392i
\(163\) 1448.32 + 1816.13i 0.695957 + 0.872703i 0.996714 0.0809981i \(-0.0258108\pi\)
−0.300757 + 0.953701i \(0.597239\pi\)
\(164\) 991.068 477.273i 0.471887 0.227249i
\(165\) −65.3603 −0.0308381
\(166\) 224.204 0.104829
\(167\) 289.999 139.656i 0.134376 0.0647121i −0.365488 0.930816i \(-0.619098\pi\)
0.499864 + 0.866104i \(0.333383\pi\)
\(168\) −76.3253 + 22.6346i −0.0350513 + 0.0103946i
\(169\) 183.640 + 88.4363i 0.0835866 + 0.0402532i
\(170\) 312.722 + 150.599i 0.141086 + 0.0679436i
\(171\) −309.542 1356.19i −0.138428 0.606494i
\(172\) −18.9540 83.0431i −0.00840251 0.0368138i
\(173\) −2138.92 1030.05i −0.939993 0.452677i −0.0998263 0.995005i \(-0.531829\pi\)
−0.840167 + 0.542328i \(0.817543\pi\)
\(174\) 82.0110 + 39.4944i 0.0357313 + 0.0172073i
\(175\) 3448.72 1022.73i 1.48971 0.441779i
\(176\) −183.478 + 88.3583i −0.0785805 + 0.0378424i
\(177\) 161.891 0.0687485
\(178\) 401.091 0.168893
\(179\) −1872.58 + 901.785i −0.781916 + 0.376551i −0.781864 0.623449i \(-0.785731\pi\)
−5.20429e−5 1.00000i \(0.500017\pi\)
\(180\) 1309.13 + 1641.59i 0.542091 + 0.679761i
\(181\) 269.745 + 1181.83i 0.110773 + 0.485330i 0.999631 + 0.0271472i \(0.00864227\pi\)
−0.888858 + 0.458183i \(0.848501\pi\)
\(182\) −592.484 + 1462.52i −0.241307 + 0.595654i
\(183\) −8.06788 + 35.3477i −0.00325899 + 0.0142786i
\(184\) 3304.51 1591.37i 1.32398 0.637593i
\(185\) −1302.75 + 5707.72i −0.517730 + 2.26832i
\(186\) −45.8640 57.5117i −0.0180802 0.0226718i
\(187\) −45.4621 199.182i −0.0177782 0.0778912i
\(188\) −21.5948 + 27.0790i −0.00837746 + 0.0105050i
\(189\) −68.3996 + 168.841i −0.0263246 + 0.0649809i
\(190\) −1096.68 1375.19i −0.418744 0.525088i
\(191\) 685.201 859.215i 0.259578 0.325500i −0.634915 0.772582i \(-0.718965\pi\)
0.894493 + 0.447081i \(0.147536\pi\)
\(192\) −66.3905 31.9720i −0.0249548 0.0120176i
\(193\) −2281.93 + 2861.45i −0.851073 + 1.06721i 0.145887 + 0.989301i \(0.453396\pi\)
−0.996960 + 0.0779111i \(0.975175\pi\)
\(194\) −513.049 + 2247.82i −0.189870 + 0.831875i
\(195\) −145.387 −0.0533918
\(196\) −1418.38 471.631i −0.516904 0.171877i
\(197\) 3701.09 1.33854 0.669269 0.743020i \(-0.266607\pi\)
0.669269 + 0.743020i \(0.266607\pi\)
\(198\) −229.847 + 1007.03i −0.0824976 + 0.361446i
\(199\) 426.520 534.839i 0.151936 0.190521i −0.700039 0.714105i \(-0.746834\pi\)
0.851974 + 0.523584i \(0.175405\pi\)
\(200\) 4127.10 + 1987.51i 1.45915 + 0.702691i
\(201\) 51.6480 64.7646i 0.0181242 0.0227271i
\(202\) 2018.06 + 2530.57i 0.702923 + 0.881437i
\(203\) 2377.32 + 4223.36i 0.821948 + 1.46021i
\(204\) 5.04107 6.32130i 0.00173012 0.00216951i
\(205\) −1003.56 4396.89i −0.341911 1.49801i
\(206\) −2166.68 2716.92i −0.732813 0.918918i
\(207\) 933.201 4088.62i 0.313343 1.37284i
\(208\) −408.128 + 196.544i −0.136051 + 0.0655187i
\(209\) −230.383 + 1009.37i −0.0762484 + 0.334066i
\(210\) 7.34920 + 114.866i 0.00241497 + 0.0377454i
\(211\) −430.597 1886.57i −0.140491 0.615530i −0.995321 0.0966224i \(-0.969196\pi\)
0.854830 0.518907i \(-0.173661\pi\)
\(212\) −705.409 884.555i −0.228527 0.286563i
\(213\) −1.74589 + 0.840778i −0.000561627 + 0.000270465i
\(214\) −1465.53 −0.468138
\(215\) −349.229 −0.110778
\(216\) −209.007 + 100.653i −0.0658386 + 0.0317062i
\(217\) −250.073 3908.60i −0.0782308 1.22273i
\(218\) −835.288 402.253i −0.259508 0.124973i
\(219\) −4.91251 2.36574i −0.00151579 0.000729964i
\(220\) −347.739 1523.54i −0.106566 0.466897i
\(221\) −101.126 443.061i −0.0307804 0.134858i
\(222\) −102.691 49.4532i −0.0310457 0.0149508i
\(223\) −386.484 186.121i −0.116058 0.0558905i 0.374954 0.927043i \(-0.377659\pi\)
−0.491012 + 0.871153i \(0.663373\pi\)
\(224\) −1538.12 2732.50i −0.458795 0.815059i
\(225\) 4719.03 2272.56i 1.39823 0.673352i
\(226\) −1944.40 −0.572298
\(227\) 833.226 0.243626 0.121813 0.992553i \(-0.461129\pi\)
0.121813 + 0.992553i \(0.461129\pi\)
\(228\) −36.9151 + 17.7774i −0.0107226 + 0.00516375i
\(229\) −989.141 1240.34i −0.285433 0.357922i 0.618357 0.785897i \(-0.287799\pi\)
−0.903791 + 0.427975i \(0.859227\pi\)
\(230\) −1179.98 5169.85i −0.338286 1.48213i
\(231\) 50.1640 45.5374i 0.0142881 0.0129703i
\(232\) −1373.32 + 6016.93i −0.388634 + 1.70272i
\(233\) −2055.45 + 989.853i −0.577927 + 0.278315i −0.699926 0.714215i \(-0.746784\pi\)
0.121999 + 0.992530i \(0.461070\pi\)
\(234\) −511.272 + 2240.03i −0.142833 + 0.625792i
\(235\) 88.5378 + 111.023i 0.0245769 + 0.0308184i
\(236\) 861.316 + 3773.67i 0.237572 + 1.04087i
\(237\) 103.032 129.198i 0.0282389 0.0354105i
\(238\) −344.938 + 102.293i −0.0939455 + 0.0278600i
\(239\) −2379.98 2984.40i −0.644133 0.807718i 0.347380 0.937725i \(-0.387071\pi\)
−0.991513 + 0.130007i \(0.958500\pi\)
\(240\) −20.6014 + 25.8334i −0.00554090 + 0.00694807i
\(241\) 4071.99 + 1960.97i 1.08838 + 0.524137i 0.889987 0.455985i \(-0.150713\pi\)
0.198394 + 0.980122i \(0.436427\pi\)
\(242\) −1104.43 + 1384.91i −0.293369 + 0.367873i
\(243\) −88.5543 + 387.982i −0.0233776 + 0.102424i
\(244\) −866.877 −0.227443
\(245\) −3179.22 + 5239.23i −0.829032 + 1.36621i
\(246\) 87.8020 0.0227563
\(247\) −512.464 + 2245.25i −0.132013 + 0.578388i
\(248\) 3109.65 3899.38i 0.796223 0.998432i
\(249\) −19.2920 9.29053i −0.00490996 0.00236451i
\(250\) 1471.79 1845.57i 0.372337 0.466896i
\(251\) −1965.50 2464.65i −0.494267 0.619791i 0.470658 0.882316i \(-0.344016\pi\)
−0.964925 + 0.262524i \(0.915445\pi\)
\(252\) −2148.47 347.835i −0.537067 0.0869506i
\(253\) −1946.10 + 2440.33i −0.483597 + 0.606411i
\(254\) −542.797 2378.15i −0.134087 0.587474i
\(255\) −20.6682 25.9170i −0.00507565 0.00636466i
\(256\) 967.250 4237.80i 0.236145 1.03462i
\(257\) −2685.65 + 1293.34i −0.651853 + 0.313916i −0.730425 0.682993i \(-0.760678\pi\)
0.0785723 + 0.996908i \(0.474964\pi\)
\(258\) 1.51291 6.62848i 0.000365076 0.00159950i
\(259\) −2976.79 5288.32i −0.714164 1.26873i
\(260\) −773.511 3388.97i −0.184504 0.808366i
\(261\) 4399.86 + 5517.25i 1.04346 + 1.30846i
\(262\) 2573.27 1239.22i 0.606783 0.292211i
\(263\) 1107.38 0.259635 0.129818 0.991538i \(-0.458561\pi\)
0.129818 + 0.991538i \(0.458561\pi\)
\(264\) 86.2750 0.0201131
\(265\) −4179.27 + 2012.63i −0.968795 + 0.466547i
\(266\) 1799.81 + 291.388i 0.414863 + 0.0671659i
\(267\) −34.5125 16.6203i −0.00791059 0.00380954i
\(268\) 1784.44 + 859.343i 0.406725 + 0.195868i
\(269\) 52.6293 + 230.584i 0.0119289 + 0.0522638i 0.980542 0.196309i \(-0.0628956\pi\)
−0.968613 + 0.248573i \(0.920038\pi\)
\(270\) 74.6330 + 326.988i 0.0168223 + 0.0737032i
\(271\) 3180.72 + 1531.76i 0.712971 + 0.343349i 0.754961 0.655769i \(-0.227656\pi\)
−0.0419902 + 0.999118i \(0.513370\pi\)
\(272\) −93.0555 44.8132i −0.0207438 0.00998970i
\(273\) 111.585 101.293i 0.0247378 0.0224562i
\(274\) 2167.92 1044.02i 0.477989 0.230187i
\(275\) −3898.29 −0.854820
\(276\) −123.524 −0.0269393
\(277\) 2527.81 1217.33i 0.548309 0.264052i −0.139154 0.990271i \(-0.544438\pi\)
0.687463 + 0.726219i \(0.258724\pi\)
\(278\) 2464.20 + 3090.01i 0.531629 + 0.666641i
\(279\) −1269.00 5559.84i −0.272304 1.19304i
\(280\) −7481.98 + 2218.82i −1.59691 + 0.473570i
\(281\) −53.7927 + 235.681i −0.0114199 + 0.0500340i −0.980317 0.197431i \(-0.936740\pi\)
0.968897 + 0.247465i \(0.0795974\pi\)
\(282\) −2.49081 + 1.19951i −0.000525977 + 0.000253297i
\(283\) −1867.07 + 8180.16i −0.392176 + 1.71823i 0.264783 + 0.964308i \(0.414700\pi\)
−0.656959 + 0.753926i \(0.728158\pi\)
\(284\) −28.8872 36.2234i −0.00603571 0.00756854i
\(285\) 37.3804 + 163.774i 0.00776921 + 0.0340391i
\(286\) 1066.21 1336.98i 0.220441 0.276424i
\(287\) 3833.60 + 2675.41i 0.788469 + 0.550260i
\(288\) −2846.70 3569.64i −0.582442 0.730359i
\(289\) −2998.60 + 3760.13i −0.610340 + 0.765342i
\(290\) 8039.34 + 3871.54i 1.62788 + 0.783947i
\(291\) 137.291 172.157i 0.0276568 0.0346805i
\(292\) 29.0091 127.097i 0.00581379 0.0254719i
\(293\) 4575.19 0.912237 0.456118 0.889919i \(-0.349239\pi\)
0.456118 + 0.889919i \(0.349239\pi\)
\(294\) −85.6695 83.0396i −0.0169944 0.0164727i
\(295\) 15869.8 3.13212
\(296\) 1719.62 7534.14i 0.337672 1.47944i
\(297\) 123.089 154.349i 0.0240483 0.0301556i
\(298\) −2609.22 1256.54i −0.507209 0.244259i
\(299\) −4328.90 + 5428.26i −0.837279 + 1.04992i
\(300\) −96.1873 120.615i −0.0185113 0.0232124i
\(301\) 268.033 243.312i 0.0513261 0.0465924i
\(302\) −1840.00 + 2307.28i −0.350596 + 0.439633i
\(303\) −68.7860 301.371i −0.0130417 0.0571396i
\(304\) 326.334 + 409.210i 0.0615676 + 0.0772033i
\(305\) −790.875 + 3465.05i −0.148477 + 0.650518i
\(306\) −471.994 + 227.300i −0.0881768 + 0.0424637i
\(307\) −7.22642 + 31.6610i −0.00134343 + 0.00588596i −0.975595 0.219577i \(-0.929532\pi\)
0.974252 + 0.225463i \(0.0723894\pi\)
\(308\) 1328.36 + 927.045i 0.245748 + 0.171504i
\(309\) 73.8514 + 323.564i 0.0135963 + 0.0595693i
\(310\) −4495.94 5637.73i −0.823717 1.03291i
\(311\) 3207.32 1544.56i 0.584792 0.281621i −0.118003 0.993013i \(-0.537649\pi\)
0.702795 + 0.711392i \(0.251935\pi\)
\(312\) 191.910 0.0348230
\(313\) 7720.29 1.39417 0.697087 0.716986i \(-0.254479\pi\)
0.697087 + 0.716986i \(0.254479\pi\)
\(314\) 5158.17 2484.04i 0.927045 0.446441i
\(315\) −3350.46 + 8270.45i −0.599292 + 1.47932i
\(316\) 3559.76 + 1714.29i 0.633709 + 0.305178i
\(317\) −1002.73 482.892i −0.177663 0.0855580i 0.342938 0.939358i \(-0.388578\pi\)
−0.520601 + 0.853800i \(0.674292\pi\)
\(318\) −20.0952 88.0429i −0.00354366 0.0155258i
\(319\) −1168.72 5120.50i −0.205128 0.898724i
\(320\) −6508.10 3134.13i −1.13692 0.547511i
\(321\) 126.104 + 60.7284i 0.0219266 + 0.0105593i
\(322\) 4507.54 + 3145.74i 0.780110 + 0.544427i
\(323\) −473.094 + 227.830i −0.0814974 + 0.0392471i
\(324\) −3165.15 −0.542721
\(325\) −8671.34 −1.48000
\(326\) −3994.14 + 1923.48i −0.678574 + 0.326784i
\(327\) 55.2051 + 69.2250i 0.00933593 + 0.0117069i
\(328\) 1324.69 + 5803.85i 0.223000 + 0.977025i
\(329\) −145.304 23.5245i −0.0243491 0.00394209i
\(330\) 27.7565 121.609i 0.00463013 0.0202859i
\(331\) −4529.01 + 2181.05i −0.752075 + 0.362180i −0.770323 0.637653i \(-0.779905\pi\)
0.0182487 + 0.999833i \(0.494191\pi\)
\(332\) 113.922 499.124i 0.0188321 0.0825090i
\(333\) −5509.32 6908.46i −0.906633 1.13688i
\(334\) 136.690 + 598.878i 0.0223933 + 0.0981113i
\(335\) 5062.93 6348.72i 0.825724 1.03543i
\(336\) −2.18687 34.1804i −0.000355071 0.00554968i
\(337\) −1694.51 2124.85i −0.273905 0.343466i 0.625785 0.779996i \(-0.284779\pi\)
−0.899690 + 0.436530i \(0.856207\pi\)
\(338\) −242.530 + 304.123i −0.0390293 + 0.0489412i
\(339\) 167.309 + 80.5715i 0.0268052 + 0.0129087i
\(340\) 494.163 619.661i 0.0788228 0.0988407i
\(341\) −944.477 + 4138.03i −0.149989 + 0.657146i
\(342\) 2654.77 0.419748
\(343\) −1210.19 6236.11i −0.190508 0.981686i
\(344\) 460.979 0.0722510
\(345\) −112.694 + 493.744i −0.0175862 + 0.0770500i
\(346\) 2824.83 3542.23i 0.438913 0.550380i
\(347\) −5930.65 2856.05i −0.917504 0.441846i −0.0853244 0.996353i \(-0.527193\pi\)
−0.832179 + 0.554507i \(0.812907\pi\)
\(348\) 129.594 162.505i 0.0199625 0.0250322i
\(349\) 6125.71 + 7681.40i 0.939547 + 1.17816i 0.983824 + 0.179136i \(0.0573301\pi\)
−0.0442771 + 0.999019i \(0.514098\pi\)
\(350\) 438.329 + 6850.98i 0.0669419 + 1.04629i
\(351\) 273.799 343.333i 0.0416362 0.0522101i
\(352\) 756.160 + 3312.95i 0.114498 + 0.501650i
\(353\) −966.715 1212.22i −0.145759 0.182777i 0.703592 0.710604i \(-0.251578\pi\)
−0.849352 + 0.527827i \(0.823007\pi\)
\(354\) −68.7501 + 301.214i −0.0103221 + 0.0452241i
\(355\) −171.146 + 82.4194i −0.0255872 + 0.0123222i
\(356\) 203.801 892.909i 0.0303411 0.132933i
\(357\) 33.9195 + 5.49154i 0.00502861 + 0.000814126i
\(358\) −882.633 3867.07i −0.130303 0.570896i
\(359\) −4575.39 5737.36i −0.672646 0.843472i 0.322008 0.946737i \(-0.395642\pi\)
−0.994654 + 0.103265i \(0.967071\pi\)
\(360\) −10237.9 + 4930.32i −1.49885 + 0.721808i
\(361\) −4198.04 −0.612048
\(362\) −2313.46 −0.335891
\(363\) 152.420 73.4015i 0.0220385 0.0106132i
\(364\) 2954.81 + 2062.12i 0.425478 + 0.296935i
\(365\) −481.562 231.908i −0.0690578 0.0332565i
\(366\) −62.3416 30.0221i −0.00890341 0.00428765i
\(367\) −728.198 3190.44i −0.103574 0.453787i −0.999945 0.0104825i \(-0.996663\pi\)
0.896371 0.443304i \(-0.146194\pi\)
\(368\) 351.124 + 1538.37i 0.0497380 + 0.217916i
\(369\) 6132.83 + 2953.41i 0.865210 + 0.416663i
\(370\) −10066.5 4847.78i −1.41441 0.681146i
\(371\) 1805.36 4456.45i 0.252641 0.623631i
\(372\) −151.337 + 72.8801i −0.0210926 + 0.0101577i
\(373\) 11240.2 1.56032 0.780158 0.625583i \(-0.215139\pi\)
0.780158 + 0.625583i \(0.215139\pi\)
\(374\) 389.904 0.0539076
\(375\) −203.119 + 97.8170i −0.0279707 + 0.0134700i
\(376\) −116.869 146.549i −0.0160294 0.0201003i
\(377\) −2599.70 11390.0i −0.355150 1.55601i
\(378\) −285.098 198.966i −0.0387933 0.0270732i
\(379\) −1577.42 + 6911.12i −0.213790 + 0.936676i 0.748174 + 0.663502i \(0.230931\pi\)
−0.961965 + 0.273174i \(0.911927\pi\)
\(380\) −3618.69 + 1742.67i −0.488513 + 0.235256i
\(381\) −51.8396 + 227.124i −0.00697066 + 0.0305405i
\(382\) 1307.67 + 1639.76i 0.175147 + 0.219627i
\(383\) −2725.71 11942.1i −0.363649 1.59325i −0.743851 0.668346i \(-0.767003\pi\)
0.380202 0.924903i \(-0.375854\pi\)
\(384\) −66.2427 + 83.0657i −0.00880321 + 0.0110389i
\(385\) 4917.45 4463.92i 0.650952 0.590915i
\(386\) −4354.94 5460.92i −0.574250 0.720087i
\(387\) 328.638 412.099i 0.0431669 0.0541296i
\(388\) 4743.41 + 2284.31i 0.620645 + 0.298887i
\(389\) 7340.31 9204.46i 0.956732 1.19970i −0.0230704 0.999734i \(-0.507344\pi\)
0.979802 0.199970i \(-0.0640844\pi\)
\(390\) 61.7415 270.507i 0.00801641 0.0351222i
\(391\) −1583.05 −0.204752
\(392\) 4196.54 6915.74i 0.540707 0.891065i
\(393\) −272.772 −0.0350115
\(394\) −1571.74 + 6886.24i −0.200972 + 0.880517i
\(395\) 10099.9 12664.9i 1.28654 1.61327i
\(396\) 2125.06 + 1023.37i 0.269667 + 0.129865i
\(397\) 1019.22 1278.06i 0.128850 0.161572i −0.713222 0.700938i \(-0.752765\pi\)
0.842071 + 0.539366i \(0.181336\pi\)
\(398\) 813.989 + 1020.71i 0.102517 + 0.128552i
\(399\) −142.793 99.6532i −0.0179163 0.0125035i
\(400\) −1228.73 + 1540.78i −0.153591 + 0.192598i
\(401\) 1802.03 + 7895.22i 0.224412 + 0.983214i 0.954113 + 0.299447i \(0.0968022\pi\)
−0.729701 + 0.683767i \(0.760341\pi\)
\(402\) 98.5674 + 123.600i 0.0122291 + 0.0153348i
\(403\) −2100.90 + 9204.62i −0.259685 + 1.13775i
\(404\) 6658.98 3206.79i 0.820041 0.394911i
\(405\) −2887.65 + 12651.6i −0.354292 + 1.55226i
\(406\) −8867.54 + 2629.71i −1.08396 + 0.321454i
\(407\) 1463.42 + 6411.68i 0.178229 + 0.780872i
\(408\) 27.2818 + 34.2103i 0.00331041 + 0.00415113i
\(409\) −13043.4 + 6281.39i −1.57691 + 0.759400i −0.998415 0.0562846i \(-0.982075\pi\)
−0.578496 + 0.815685i \(0.696360\pi\)
\(410\) 8607.01 1.03676
\(411\) −229.804 −0.0275800
\(412\) −7149.35 + 3442.95i −0.854911 + 0.411703i
\(413\) −12180.0 + 11056.7i −1.45119 + 1.31735i
\(414\) 7210.96 + 3472.62i 0.856037 + 0.412246i
\(415\) −1891.15 910.728i −0.223693 0.107725i
\(416\) 1682.00 + 7369.33i 0.198238 + 0.868536i
\(417\) −83.9925 367.995i −0.00986363 0.0432154i
\(418\) −1780.20 857.298i −0.208307 0.100315i
\(419\) −2141.25 1031.17i −0.249658 0.120229i 0.304870 0.952394i \(-0.401387\pi\)
−0.554528 + 0.832165i \(0.687101\pi\)
\(420\) 259.450 + 42.0047i 0.0301426 + 0.00488005i
\(421\) 471.014 226.828i 0.0545268 0.0262587i −0.406422 0.913686i \(-0.633224\pi\)
0.460948 + 0.887427i \(0.347509\pi\)
\(422\) 3693.00 0.426001
\(423\) −214.327 −0.0246358
\(424\) 5516.60 2656.66i 0.631863 0.304289i
\(425\) −1232.71 1545.77i −0.140695 0.176426i
\(426\) −0.822921 3.60545i −9.35931e−5 0.000410058i
\(427\) −1807.15 3210.44i −0.204811 0.363850i
\(428\) −744.660 + 3262.57i −0.0840993 + 0.368463i
\(429\) −147.145 + 70.8613i −0.0165600 + 0.00797486i
\(430\) 148.307 649.774i 0.0166325 0.0728718i
\(431\) 10033.1 + 12581.2i 1.12130 + 1.40606i 0.902712 + 0.430246i \(0.141573\pi\)
0.218587 + 0.975818i \(0.429855\pi\)
\(432\) −22.2082 97.3007i −0.00247337 0.0108365i
\(433\) 7527.87 9439.65i 0.835488 1.04767i −0.162651 0.986684i \(-0.552004\pi\)
0.998139 0.0609852i \(-0.0194242\pi\)
\(434\) 7378.51 + 1194.57i 0.816083 + 0.132123i
\(435\) −531.329 666.265i −0.0585638 0.0734367i
\(436\) −1319.92 + 1655.13i −0.144983 + 0.181804i
\(437\) 7227.77 + 3480.71i 0.791192 + 0.381018i
\(438\) 6.48788 8.13554i 0.000707769 0.000887514i
\(439\) 231.831 1015.72i 0.0252043 0.110427i −0.960761 0.277378i \(-0.910535\pi\)
0.985965 + 0.166950i \(0.0533919\pi\)
\(440\) 8457.32 0.916334
\(441\) −3190.66 8681.87i −0.344526 0.937466i
\(442\) 867.302 0.0933334
\(443\) 3037.91 13310.0i 0.325814 1.42748i −0.501215 0.865323i \(-0.667113\pi\)
0.827028 0.562160i \(-0.190030\pi\)
\(444\) −162.272 + 203.482i −0.0173448 + 0.0217497i
\(445\) −3383.17 1629.25i −0.360399 0.173559i
\(446\) 510.423 640.050i 0.0541911 0.0679535i
\(447\) 172.447 + 216.241i 0.0182471 + 0.0228811i
\(448\) 7178.55 2128.83i 0.757042 0.224504i
\(449\) −10331.0 + 12954.7i −1.08586 + 1.36162i −0.158537 + 0.987353i \(0.550678\pi\)
−0.927320 + 0.374269i \(0.877894\pi\)
\(450\) 2224.30 + 9745.29i 0.233010 + 1.02088i
\(451\) −3158.72 3960.91i −0.329797 0.413552i
\(452\) −987.979 + 4328.62i −0.102811 + 0.450445i
\(453\) 253.934 122.288i 0.0263374 0.0126834i
\(454\) −353.845 + 1550.30i −0.0365788 + 0.160262i
\(455\) 10938.4 9929.54i 1.12703 1.02309i
\(456\) −49.3418 216.181i −0.00506720 0.0222008i
\(457\) 6164.66 + 7730.24i 0.631008 + 0.791259i 0.989846 0.142141i \(-0.0453986\pi\)
−0.358839 + 0.933400i \(0.616827\pi\)
\(458\) 2727.83 1313.66i 0.278304 0.134024i
\(459\) 100.126 0.0101819
\(460\) −12108.7 −1.22733
\(461\) −14797.3 + 7126.03i −1.49497 + 0.719940i −0.989718 0.143032i \(-0.954315\pi\)
−0.505252 + 0.862972i \(0.668600\pi\)
\(462\) 63.4235 + 112.673i 0.00638686 + 0.0113464i
\(463\) −13009.9 6265.22i −1.30587 0.628875i −0.353965 0.935259i \(-0.615167\pi\)
−0.951908 + 0.306383i \(0.900881\pi\)
\(464\) −2392.24 1152.04i −0.239346 0.115263i
\(465\) 153.245 + 671.409i 0.0152829 + 0.0669588i
\(466\) −968.830 4244.72i −0.0963094 0.421959i
\(467\) 2791.59 + 1344.36i 0.276615 + 0.133211i 0.567048 0.823684i \(-0.308085\pi\)
−0.290434 + 0.956895i \(0.593800\pi\)
\(468\) 4726.97 + 2276.39i 0.466890 + 0.224842i
\(469\) 537.438 + 8400.05i 0.0529138 + 0.827032i
\(470\) −244.168 + 117.585i −0.0239630 + 0.0115400i
\(471\) −546.776 −0.0534906
\(472\) −20948.0 −2.04281
\(473\) −353.451 + 170.213i −0.0343587 + 0.0165463i
\(474\) 196.630 + 246.567i 0.0190539 + 0.0238928i
\(475\) 2229.48 + 9768.00i 0.215359 + 0.943551i
\(476\) 52.4562 + 819.880i 0.00505111 + 0.0789477i
\(477\) 1557.90 6825.61i 0.149542 0.655185i
\(478\) 6563.45 3160.79i 0.628045 0.302450i
\(479\) 3295.63 14439.1i 0.314366 1.37733i −0.532908 0.846173i \(-0.678901\pi\)
0.847275 0.531155i \(-0.178242\pi\)
\(480\) 343.768 + 431.072i 0.0326892 + 0.0409910i
\(481\) 3255.24 + 14262.1i 0.308578 + 1.35197i
\(482\) −5377.81 + 6743.56i −0.508200 + 0.637263i
\(483\) −257.505 457.463i −0.0242586 0.0430958i
\(484\) 2521.91 + 3162.37i 0.236843 + 0.296992i
\(485\) 13458.3 16876.1i 1.26002 1.58001i
\(486\) −684.271 329.527i −0.0638666 0.0307565i
\(487\) 1176.11 1474.80i 0.109435 0.137227i −0.724098 0.689697i \(-0.757744\pi\)
0.833532 + 0.552471i \(0.186315\pi\)
\(488\) 1043.95 4573.83i 0.0968387 0.424278i
\(489\) 423.387 0.0391538
\(490\) −8397.97 8140.17i −0.774248 0.750481i
\(491\) −3139.09 −0.288524 −0.144262 0.989540i \(-0.546081\pi\)
−0.144262 + 0.989540i \(0.546081\pi\)
\(492\) 44.6136 195.465i 0.00408808 0.0179111i
\(493\) 1660.84 2082.63i 0.151725 0.190257i
\(494\) −3959.87 1906.97i −0.360654 0.173682i
\(495\) 6029.34 7560.55i 0.547472 0.686508i
\(496\) 1337.84 + 1677.60i 0.121110 + 0.151868i
\(497\) 73.9314 182.496i 0.00667259 0.0164710i
\(498\) 25.4786 31.9492i 0.00229262 0.00287485i
\(499\) −372.771 1633.22i −0.0334419 0.146519i 0.955451 0.295151i \(-0.0953700\pi\)
−0.988893 + 0.148632i \(0.952513\pi\)
\(500\) −3360.77 4214.28i −0.300597 0.376936i
\(501\) 13.0545 57.1955i 0.00116414 0.00510042i
\(502\) 5420.41 2610.33i 0.481922 0.232081i
\(503\) −760.973 + 3334.04i −0.0674555 + 0.295542i −0.997392 0.0721791i \(-0.977005\pi\)
0.929936 + 0.367721i \(0.119862\pi\)
\(504\) 4422.58 10916.9i 0.390867 0.964838i
\(505\) −6742.92 29542.7i −0.594170 2.60323i
\(506\) −3714.01 4657.23i −0.326301 0.409168i
\(507\) 33.4711 16.1188i 0.00293196 0.00141196i
\(508\) −5570.05 −0.486479
\(509\) −16653.8 −1.45023 −0.725114 0.688629i \(-0.758213\pi\)
−0.725114 + 0.688629i \(0.758213\pi\)
\(510\) 56.9982 27.4489i 0.00494887 0.00238325i
\(511\) 531.172 157.521i 0.0459836 0.0136367i
\(512\) 3272.56 + 1575.98i 0.282477 + 0.136034i
\(513\) −457.150 220.152i −0.0393444 0.0189472i
\(514\) −1265.87 5546.15i −0.108629 0.475934i
\(515\) 7239.48 + 31718.2i 0.619436 + 2.71393i
\(516\) −13.9876 6.73608i −0.00119335 0.000574689i
\(517\) 143.720 + 69.2120i 0.0122259 + 0.00588770i
\(518\) 11103.6 3292.81i 0.941819 0.279301i
\(519\) −389.849 + 187.742i −0.0329720 + 0.0158785i
\(520\) 18812.5 1.58650
\(521\) −9695.11 −0.815260 −0.407630 0.913147i \(-0.633645\pi\)
−0.407630 + 0.913147i \(0.633645\pi\)
\(522\) −12133.8 + 5843.35i −1.01740 + 0.489955i
\(523\) −8774.61 11003.0i −0.733627 0.919939i 0.265396 0.964140i \(-0.414497\pi\)
−0.999023 + 0.0442006i \(0.985926\pi\)
\(524\) −1451.24 6358.29i −0.120988 0.530083i
\(525\) 246.173 607.667i 0.0204645 0.0505157i
\(526\) −470.270 + 2060.39i −0.0389824 + 0.170793i
\(527\) −1939.50 + 934.012i −0.160315 + 0.0772034i
\(528\) −8.25938 + 36.1867i −0.000680764 + 0.00298262i
\(529\) 7493.24 + 9396.23i 0.615866 + 0.772271i
\(530\) −1969.89 8630.63i −0.161446 0.707341i
\(531\) −14934.1 + 18726.7i −1.22050 + 1.53045i
\(532\) 1563.20 3858.69i 0.127394 0.314465i
\(533\) −7026.26 8810.65i −0.570996 0.716007i
\(534\) 45.5800 57.1556i 0.00369371 0.00463177i
\(535\) 12361.6 + 5953.05i 0.998954 + 0.481071i
\(536\) −6683.02 + 8380.25i −0.538550 + 0.675320i
\(537\) −84.2954 + 369.322i −0.00677395 + 0.0296786i
\(538\) −451.374 −0.0361712
\(539\) −664.069 + 6852.11i −0.0530677 + 0.547572i
\(540\) 765.865 0.0610325
\(541\) 588.469 2578.25i 0.0467658 0.204894i −0.946147 0.323736i \(-0.895061\pi\)
0.992913 + 0.118842i \(0.0379182\pi\)
\(542\) −4200.73 + 5267.55i −0.332909 + 0.417455i
\(543\) 199.065 + 95.8647i 0.0157324 + 0.00757633i
\(544\) −1074.56 + 1347.45i −0.0846900 + 0.106198i
\(545\) 5411.62 + 6785.96i 0.425337 + 0.533355i
\(546\) 141.079 + 250.630i 0.0110579 + 0.0196446i
\(547\) −68.4828 + 85.8748i −0.00535304 + 0.00671250i −0.784501 0.620128i \(-0.787081\pi\)
0.779148 + 0.626840i \(0.215652\pi\)
\(548\) −1222.63 5356.71i −0.0953073 0.417568i
\(549\) −3344.60 4194.00i −0.260007 0.326039i
\(550\) 1655.48 7253.13i 0.128345 0.562317i
\(551\) −12162.1 + 5856.97i −0.940333 + 0.452841i
\(552\) 148.755 651.737i 0.0114700 0.0502532i
\(553\) 1072.13 + 16757.1i 0.0824438 + 1.28858i
\(554\) 1191.48 + 5220.20i 0.0913736 + 0.400334i
\(555\) 665.308 + 834.269i 0.0508842 + 0.0638068i
\(556\) 8131.08 3915.72i 0.620206 0.298676i
\(557\) 748.378 0.0569296 0.0284648 0.999595i \(-0.490938\pi\)
0.0284648 + 0.999595i \(0.490938\pi\)
\(558\) 10883.5 0.825692
\(559\) −786.216 + 378.622i −0.0594873 + 0.0286476i
\(560\) −214.374 3350.62i −0.0161767 0.252838i
\(561\) −33.5499 16.1568i −0.00252491 0.00121593i
\(562\) −415.663 200.173i −0.0311987 0.0150245i
\(563\) 1622.88 + 7110.28i 0.121485 + 0.532260i 0.998644 + 0.0520604i \(0.0165788\pi\)
−0.877159 + 0.480200i \(0.840564\pi\)
\(564\) 1.40473 + 6.15454i 0.000104876 + 0.000459491i
\(565\) 16400.8 + 7898.23i 1.22122 + 0.588108i
\(566\) −14427.1 6947.72i −1.07141 0.515962i
\(567\) −6598.28 11722.0i −0.488715 0.868212i
\(568\) 225.911 108.793i 0.0166884 0.00803670i
\(569\) −9917.94 −0.730723 −0.365362 0.930866i \(-0.619055\pi\)
−0.365362 + 0.930866i \(0.619055\pi\)
\(570\) −320.592 −0.0235581
\(571\) 22221.7 10701.4i 1.62864 0.784309i 0.628657 0.777683i \(-0.283605\pi\)
0.999978 0.00662684i \(-0.00210940\pi\)
\(572\) −2434.63 3052.93i −0.177967 0.223164i
\(573\) −44.5720 195.283i −0.00324960 0.0142374i
\(574\) −6605.87 + 5996.62i −0.480355 + 0.436052i
\(575\) −6721.40 + 29448.4i −0.487481 + 2.13579i
\(576\) 9822.73 4730.38i 0.710556 0.342186i
\(577\) −3972.47 + 17404.5i −0.286614 + 1.25574i 0.602525 + 0.798100i \(0.294161\pi\)
−0.889139 + 0.457637i \(0.848696\pi\)
\(578\) −5722.66 7175.99i −0.411819 0.516404i
\(579\) 148.439 + 650.353i 0.0106544 + 0.0466800i
\(580\) 12703.8 15930.0i 0.909474 1.14044i
\(581\) 2085.97 618.604i 0.148951 0.0441721i
\(582\) 262.012 + 328.552i 0.0186611 + 0.0234002i
\(583\) −3248.85 + 4073.92i −0.230795 + 0.289408i
\(584\) 635.657 + 306.116i 0.0450405 + 0.0216904i
\(585\) 13411.7 16817.7i 0.947869 1.18859i
\(586\) −1942.94 + 8512.57i −0.136966 + 0.600087i
\(587\) 14869.5 1.04554 0.522768 0.852475i \(-0.324899\pi\)
0.522768 + 0.852475i \(0.324899\pi\)
\(588\) −228.393 + 148.524i −0.0160183 + 0.0104167i
\(589\) 10908.9 0.763145
\(590\) −6739.40 + 29527.2i −0.470266 + 2.06037i
\(591\) 420.593 527.407i 0.0292739 0.0367084i
\(592\) 2995.46 + 1442.54i 0.207960 + 0.100148i
\(593\) 13332.3 16718.1i 0.923255 1.15772i −0.0638997 0.997956i \(-0.520354\pi\)
0.987155 0.159769i \(-0.0510748\pi\)
\(594\) 234.908 + 294.565i 0.0162263 + 0.0203471i
\(595\) 3325.05 + 538.322i 0.229099 + 0.0370908i
\(596\) −4123.10 + 5170.20i −0.283370 + 0.355335i
\(597\) −27.7449 121.558i −0.00190205 0.00833343i
\(598\) −8261.45 10359.5i −0.564943 0.708416i
\(599\) 860.853 3771.65i 0.0587204 0.257271i −0.937044 0.349211i \(-0.886450\pi\)
0.995765 + 0.0919400i \(0.0293068\pi\)
\(600\) 752.226 362.253i 0.0511825 0.0246482i
\(601\) 1348.05 5906.18i 0.0914942 0.400862i −0.908355 0.418199i \(-0.862662\pi\)
0.999850 + 0.0173365i \(0.00551865\pi\)
\(602\) 338.881 + 602.028i 0.0229431 + 0.0407589i
\(603\) 2727.23 + 11948.8i 0.184181 + 0.806951i
\(604\) 4201.55 + 5268.57i 0.283044 + 0.354926i
\(605\) 14941.3 7195.36i 1.00405 0.483526i
\(606\) 589.940 0.0395457
\(607\) −4622.27 −0.309081 −0.154540 0.987986i \(-0.549390\pi\)
−0.154540 + 0.987986i \(0.549390\pi\)
\(608\) 7868.86 3789.44i 0.524876 0.252767i
\(609\) 871.990 + 141.174i 0.0580211 + 0.00939355i
\(610\) −6111.19 2943.00i −0.405631 0.195342i
\(611\) 319.691 + 153.955i 0.0211675 + 0.0101937i
\(612\) 266.189 + 1166.25i 0.0175818 + 0.0770308i
\(613\) −2373.77 10400.2i −0.156404 0.685251i −0.990941 0.134299i \(-0.957122\pi\)
0.834537 0.550952i \(-0.185735\pi\)
\(614\) −55.8395 26.8909i −0.00367019 0.00176747i
\(615\) −740.604 356.656i −0.0485594 0.0233850i
\(616\) −6490.99 + 5892.33i −0.424561 + 0.385404i
\(617\) 3042.11 1465.00i 0.198494 0.0955897i −0.331996 0.943281i \(-0.607722\pi\)
0.530490 + 0.847691i \(0.322008\pi\)
\(618\) −633.384 −0.0412273
\(619\) 15534.0 1.00867 0.504333 0.863509i \(-0.331738\pi\)
0.504333 + 0.863509i \(0.331738\pi\)
\(620\) −14835.2 + 7144.25i −0.960961 + 0.462774i
\(621\) −953.748 1195.96i −0.0616306 0.0772823i
\(622\) 1511.76 + 6623.45i 0.0974534 + 0.426971i
\(623\) 3731.70 1106.65i 0.239980 0.0711671i
\(624\) −18.3722 + 80.4937i −0.00117865 + 0.00516399i
\(625\) 1963.00 945.329i 0.125632 0.0605011i
\(626\) −3278.57 + 14364.3i −0.209326 + 0.917116i
\(627\) 117.655 + 147.535i 0.00749394 + 0.00939710i
\(628\) −2909.03 12745.3i −0.184846 0.809862i
\(629\) −2079.63 + 2607.78i −0.131829 + 0.165308i
\(630\) −13965.1 9746.05i −0.883149 0.616336i
\(631\) −4162.42 5219.51i −0.262604 0.329295i 0.632996 0.774155i \(-0.281825\pi\)
−0.895600 + 0.444860i \(0.853254\pi\)
\(632\) −13331.8 + 16717.6i −0.839101 + 1.05220i
\(633\) −317.770 153.030i −0.0199530 0.00960884i
\(634\) 1324.30 1660.61i 0.0829566 0.104024i
\(635\) −5081.71 + 22264.4i −0.317577 + 1.39140i
\(636\) −206.212 −0.0128567
\(637\) −1477.15 + 15241.8i −0.0918791 + 0.948042i
\(638\) 10023.5 0.621997
\(639\) 63.7977 279.516i 0.00394960 0.0173043i
\(640\) −6493.61 + 8142.72i −0.401066 + 0.502921i
\(641\) 6414.46 + 3089.04i 0.395251 + 0.190343i 0.620943 0.783856i \(-0.286750\pi\)
−0.225692 + 0.974199i \(0.572464\pi\)
\(642\) −166.543 + 208.839i −0.0102382 + 0.0128383i
\(643\) −9911.95 12429.2i −0.607915 0.762301i 0.378673 0.925530i \(-0.376380\pi\)
−0.986588 + 0.163229i \(0.947809\pi\)
\(644\) 9293.42 8436.30i 0.568652 0.516206i
\(645\) −39.6865 + 49.7653i −0.00242272 + 0.00303799i
\(646\) −222.991 976.989i −0.0135812 0.0595033i
\(647\) −6367.66 7984.80i −0.386922 0.485185i 0.549781 0.835309i \(-0.314711\pi\)
−0.936704 + 0.350124i \(0.886140\pi\)
\(648\) 3811.67 16700.0i 0.231075 1.01240i
\(649\) 16061.6 7734.87i 0.971455 0.467828i
\(650\) 3682.45 16133.9i 0.222212 0.973572i
\(651\) −585.395 408.538i −0.0352434 0.0245958i
\(652\) 2252.56 + 9869.13i 0.135302 + 0.592799i
\(653\) −5470.36 6859.62i −0.327828 0.411083i 0.590415 0.807099i \(-0.298964\pi\)
−0.918244 + 0.396016i \(0.870392\pi\)
\(654\) −152.244 + 73.3167i −0.00910275 + 0.00438365i
\(655\) −26739.1 −1.59509
\(656\) −2561.16 −0.152433
\(657\) 726.825 350.021i 0.0431600 0.0207848i
\(658\) 105.476 260.361i 0.00624903 0.0154254i
\(659\) 4155.12 + 2001.00i 0.245615 + 0.118282i 0.552642 0.833419i \(-0.313620\pi\)
−0.307026 + 0.951701i \(0.599334\pi\)
\(660\) −256.623 123.583i −0.0151349 0.00728858i
\(661\) −2994.45 13119.5i −0.176204 0.771999i −0.983361 0.181662i \(-0.941852\pi\)
0.807157 0.590336i \(-0.201005\pi\)
\(662\) −2134.73 9352.87i −0.125330 0.549108i
\(663\) −74.6283 35.9391i −0.00437153 0.00210522i
\(664\) 2496.30 + 1202.15i 0.145896 + 0.0702599i
\(665\) −13997.7 9768.76i −0.816250 0.569649i
\(666\) 15193.5 7316.80i 0.883987 0.425706i
\(667\) −40696.3 −2.36247
\(668\) 1402.68 0.0812445
\(669\) −70.4424 + 33.9233i −0.00407094 + 0.00196046i
\(670\) 9662.32 + 12116.2i 0.557146 + 0.698639i
\(671\) 888.417 + 3892.41i 0.0511132 + 0.223941i
\(672\) −564.176 91.3394i −0.0323862 0.00524329i
\(673\) 5408.30 23695.3i 0.309769 1.35719i −0.545112 0.838363i \(-0.683513\pi\)
0.854881 0.518824i \(-0.173630\pi\)
\(674\) 4673.09 2250.44i 0.267063 0.128611i
\(675\) 425.122 1862.58i 0.0242414 0.106209i
\(676\) 553.807 + 694.451i 0.0315092 + 0.0395113i
\(677\) −603.660 2644.81i −0.0342696 0.150145i 0.954898 0.296933i \(-0.0959637\pi\)
−0.989168 + 0.146788i \(0.953107\pi\)
\(678\) −220.962 + 277.077i −0.0125162 + 0.0156948i
\(679\) 1428.62 + 22329.0i 0.0807442 + 1.26201i
\(680\) 2674.37 + 3353.55i 0.150819 + 0.189122i
\(681\) 94.6881 118.735i 0.00532813 0.00668126i
\(682\) −7298.10 3514.58i −0.409763 0.197332i
\(683\) −9971.74 + 12504.2i −0.558650 + 0.700525i −0.978308 0.207157i \(-0.933579\pi\)
0.419657 + 0.907683i \(0.362150\pi\)
\(684\) 1348.93 5910.07i 0.0754062 0.330376i
\(685\) −22527.1 −1.25652
\(686\) 12116.8 + 396.598i 0.674375 + 0.0220732i
\(687\) −289.156 −0.0160582
\(688\) −44.1310 + 193.351i −0.00244547 + 0.0107143i
\(689\) −7226.73 + 9062.03i −0.399589 + 0.501068i
\(690\) −870.799 419.355i −0.0480446 0.0231371i
\(691\) −12035.1 + 15091.6i −0.662572 + 0.830839i −0.993621 0.112775i \(-0.964026\pi\)
0.331048 + 0.943614i \(0.392598\pi\)
\(692\) −6450.38 8088.52i −0.354345 0.444334i
\(693\) 640.023 + 10003.4i 0.0350829 + 0.548339i
\(694\) 7832.51 9821.65i 0.428412 0.537212i
\(695\) −8233.58 36073.7i −0.449378 1.96885i
\(696\) 701.349 + 879.464i 0.0381962 + 0.0478966i
\(697\) 571.757 2505.03i 0.0310715 0.136133i
\(698\) −16893.4 + 8135.42i −0.916080 + 0.441161i
\(699\) −92.5275 + 405.390i −0.00500674 + 0.0219360i
\(700\) 15474.4 + 2505.29i 0.835540 + 0.135273i
\(701\) 698.114 + 3058.64i 0.0376140 + 0.164798i 0.990247 0.139326i \(-0.0444936\pi\)
−0.952633 + 0.304124i \(0.901636\pi\)
\(702\) 522.529 + 655.231i 0.0280935 + 0.0352281i
\(703\) 15228.9 7333.85i 0.817025 0.393459i
\(704\) −8114.34 −0.434404
\(705\) 25.8823 0.00138267
\(706\) 2665.99 1283.87i 0.142119 0.0684408i
\(707\) 25757.9 + 17976.1i 1.37019 + 0.956238i
\(708\) 635.630 + 306.103i 0.0337407 + 0.0162487i
\(709\) 15886.5 + 7650.52i 0.841508 + 0.405249i 0.804419 0.594063i \(-0.202477\pi\)
0.0370896 + 0.999312i \(0.488191\pi\)
\(710\) −80.6689 353.434i −0.00426401 0.0186819i
\(711\) 5440.50 + 23836.4i 0.286969 + 1.25729i
\(712\) 4465.76 + 2150.59i 0.235058 + 0.113198i
\(713\) 29631.0 + 14269.5i 1.55636 + 0.749506i
\(714\) −24.6221 + 60.7784i −0.00129056 + 0.00318568i
\(715\) −14424.3 + 6946.36i −0.754457 + 0.363327i
\(716\) −9057.36 −0.472750
\(717\) −695.739 −0.0362383
\(718\) 12617.9 6076.48i 0.655845 0.315838i
\(719\) 2339.85 + 2934.08i 0.121365 + 0.152187i 0.838802 0.544436i \(-0.183256\pi\)
−0.717437 + 0.696623i \(0.754685\pi\)
\(720\) −1087.84 4766.14i −0.0563075 0.246699i
\(721\) −27654.8 19299.9i −1.42846 0.996899i
\(722\) 1782.77 7810.85i 0.0918948 0.402617i
\(723\) 742.181 357.415i 0.0381770 0.0183851i
\(724\) −1175.51 + 5150.23i −0.0603416 + 0.264374i
\(725\) −31690.1 39738.1i −1.62337 2.03564i
\(726\) 71.8425 + 314.763i 0.00367262 + 0.0160908i
\(727\) 21783.8 27316.0i 1.11130 1.39353i 0.200997 0.979592i \(-0.435582\pi\)
0.910305 0.413937i \(-0.135847\pi\)
\(728\) −14438.6 + 13106.9i −0.735067 + 0.667272i
\(729\) −12181.6 15275.3i −0.618892 0.776066i
\(730\) 635.991 797.507i 0.0322453 0.0404343i
\(731\) −179.262 86.3279i −0.00907009 0.00436792i
\(732\) −98.5121 + 123.530i −0.00497420 + 0.00623745i
\(733\) 601.404 2634.92i 0.0303047 0.132774i −0.957513 0.288391i \(-0.906880\pi\)
0.987817 + 0.155618i \(0.0497368\pi\)
\(734\) 6245.36 0.314061
\(735\) 385.305 + 1048.43i 0.0193363 + 0.0526147i
\(736\) 26330.4 1.31868
\(737\) 2029.80 8893.12i 0.101450 0.444481i
\(738\) −8099.53 + 10156.5i −0.403994 + 0.506593i
\(739\) −27915.4 13443.3i −1.38956 0.669176i −0.418544 0.908196i \(-0.637459\pi\)
−0.971015 + 0.239020i \(0.923174\pi\)
\(740\) −15907.1 + 19946.9i −0.790212 + 0.990895i
\(741\) 261.712 + 328.177i 0.0129747 + 0.0162697i
\(742\) 7524.96 + 5251.56i 0.372305 + 0.259826i
\(743\) 9356.93 11733.2i 0.462009 0.579340i −0.495186 0.868787i \(-0.664900\pi\)
0.957194 + 0.289447i \(0.0934713\pi\)
\(744\) −202.282 886.254i −0.00996775 0.0436716i
\(745\) 16904.5 + 21197.6i 0.831320 + 1.04244i
\(746\) −4773.38 + 20913.5i −0.234270 + 1.02641i
\(747\) 2854.32 1374.57i 0.139805 0.0673265i
\(748\) 198.117 868.006i 0.00968431 0.0424297i
\(749\) −13635.1 + 4043.56i −0.665176 + 0.197261i
\(750\) −95.7395 419.462i −0.00466122 0.0204221i
\(751\) −3154.59 3955.73i −0.153279 0.192206i 0.699263 0.714865i \(-0.253512\pi\)
−0.852542 + 0.522659i \(0.824940\pi\)
\(752\) 72.6561 34.9893i 0.00352326 0.00169671i
\(753\) −574.574 −0.0278070
\(754\) 22296.3 1.07690
\(755\) 24892.5 11987.6i 1.19991 0.577846i
\(756\) −587.801 + 533.588i −0.0282779 + 0.0256699i
\(757\) 36125.8 + 17397.3i 1.73450 + 0.835289i 0.984841 + 0.173460i \(0.0554948\pi\)
0.749655 + 0.661829i \(0.230219\pi\)
\(758\) −12188.9 5869.87i −0.584065 0.281271i
\(759\) 126.593 + 554.639i 0.00605405 + 0.0265245i
\(760\) −4836.86 21191.7i −0.230857 1.01145i
\(761\) 6966.39 + 3354.84i 0.331842 + 0.159807i 0.592384 0.805656i \(-0.298187\pi\)
−0.260542 + 0.965463i \(0.583901\pi\)
\(762\) −400.571 192.905i −0.0190435 0.00917087i
\(763\) −8881.29 1437.87i −0.421395 0.0682233i
\(764\) 4314.89 2077.94i 0.204329 0.0983996i
\(765\) 4904.54 0.231796
\(766\) 23377.0 1.10267
\(767\) 35727.5 17205.5i 1.68194 0.809978i
\(768\) −493.970 619.418i −0.0232091 0.0291033i
\(769\) 859.833 + 3767.17i 0.0403204 + 0.176655i 0.991079 0.133278i \(-0.0425504\pi\)
−0.950758 + 0.309933i \(0.899693\pi\)