Properties

Label 75.4.g.b.16.1
Level $75$
Weight $4$
Character 75.16
Analytic conductor $4.425$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 75 = 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 75.g (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.42514325043\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(7\) over \(\Q(\zeta_{5})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 16.1
Character \(\chi\) \(=\) 75.16
Dual form 75.4.g.b.61.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.76530 - 2.73565i) q^{2} +(0.927051 + 2.85317i) q^{3} +(4.22155 + 12.9926i) q^{4} +(5.34090 - 9.82216i) q^{5} +(4.31465 - 13.2791i) q^{6} -26.0445 q^{7} +(8.14206 - 25.0587i) q^{8} +(-7.28115 + 5.29007i) q^{9} +O(q^{10})\) \(q+(-3.76530 - 2.73565i) q^{2} +(0.927051 + 2.85317i) q^{3} +(4.22155 + 12.9926i) q^{4} +(5.34090 - 9.82216i) q^{5} +(4.31465 - 13.2791i) q^{6} -26.0445 q^{7} +(8.14206 - 25.0587i) q^{8} +(-7.28115 + 5.29007i) q^{9} +(-46.9800 + 22.3725i) q^{10} +(-2.03543 - 1.47883i) q^{11} +(-33.1565 + 24.0896i) q^{12} +(-32.0534 + 23.2881i) q^{13} +(98.0653 + 71.2486i) q^{14} +(32.9756 + 6.13286i) q^{15} +(-10.7917 + 7.84062i) q^{16} +(-26.2638 + 80.8316i) q^{17} +41.8875 q^{18} +(-44.1360 + 135.837i) q^{19} +(150.162 + 27.9275i) q^{20} +(-24.1446 - 74.3094i) q^{21} +(3.61845 + 11.1365i) q^{22} +(-127.177 - 92.3993i) q^{23} +79.0448 q^{24} +(-67.9495 - 104.918i) q^{25} +184.399 q^{26} +(-21.8435 - 15.8702i) q^{27} +(-109.948 - 338.386i) q^{28} +(-30.9737 - 95.3273i) q^{29} +(-107.385 - 113.302i) q^{30} +(-53.5715 + 164.876i) q^{31} -148.703 q^{32} +(2.33240 - 7.17839i) q^{33} +(320.018 - 232.506i) q^{34} +(-139.101 + 255.813i) q^{35} +(-99.4695 - 72.2688i) q^{36} +(48.0520 - 34.9118i) q^{37} +(537.786 - 390.725i) q^{38} +(-96.1601 - 69.8644i) q^{39} +(-202.644 - 213.809i) q^{40} +(287.546 - 208.914i) q^{41} +(-112.373 + 345.848i) q^{42} +109.742 q^{43} +(10.6211 - 32.6885i) q^{44} +(13.0719 + 99.7704i) q^{45} +(226.086 + 695.821i) q^{46} +(-17.9575 - 55.2674i) q^{47} +(-32.3751 - 23.5219i) q^{48} +335.317 q^{49} +(-31.1696 + 580.935i) q^{50} -254.974 q^{51} +(-437.888 - 318.144i) q^{52} +(-120.787 - 371.745i) q^{53} +(38.8318 + 119.512i) q^{54} +(-25.3963 + 12.0941i) q^{55} +(-212.056 + 652.641i) q^{56} -428.481 q^{57} +(-144.157 + 443.669i) q^{58} +(-333.759 + 242.490i) q^{59} +(59.5262 + 454.328i) q^{60} +(-290.142 - 210.800i) q^{61} +(652.756 - 474.255i) q^{62} +(189.634 - 137.777i) q^{63} +(646.244 + 469.524i) q^{64} +(57.5458 + 439.213i) q^{65} +(-28.4197 + 20.6481i) q^{66} +(108.468 - 333.831i) q^{67} -1161.09 q^{68} +(145.732 - 448.516i) q^{69} +(1223.57 - 582.681i) q^{70} +(52.7887 + 162.467i) q^{71} +(73.2785 + 225.528i) q^{72} +(754.724 + 548.339i) q^{73} -276.437 q^{74} +(236.357 - 291.136i) q^{75} -1951.19 q^{76} +(53.0119 + 38.5154i) q^{77} +(170.947 + 526.120i) q^{78} +(-405.819 - 1248.98i) q^{79} +(19.3744 + 147.874i) q^{80} +(25.0304 - 77.0356i) q^{81} -1654.21 q^{82} +(-202.066 + 621.896i) q^{83} +(863.545 - 627.402i) q^{84} +(653.668 + 689.680i) q^{85} +(-413.211 - 300.216i) q^{86} +(243.271 - 176.747i) q^{87} +(-53.6301 + 38.9646i) q^{88} +(-857.273 - 622.845i) q^{89} +(223.717 - 411.425i) q^{90} +(834.814 - 606.528i) q^{91} +(663.624 - 2042.42i) q^{92} -520.083 q^{93} +(-83.5770 + 257.224i) q^{94} +(1098.48 + 1159.00i) q^{95} +(-137.855 - 424.275i) q^{96} +(198.234 + 610.103i) q^{97} +(-1262.57 - 917.308i) q^{98} +22.6434 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28 q - 21 q^{3} - 30 q^{4} - 15 q^{5} - 54 q^{7} - 63 q^{8} - 63 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 28 q - 21 q^{3} - 30 q^{4} - 15 q^{5} - 54 q^{7} - 63 q^{8} - 63 q^{9} + 165 q^{10} + 19 q^{11} - 60 q^{12} + 4 q^{13} - 24 q^{14} + 45 q^{15} - 66 q^{16} + 208 q^{17} + 42 q^{19} + 295 q^{20} + 3 q^{21} - 89 q^{22} + 32 q^{23} + 126 q^{24} + 95 q^{25} + 206 q^{26} - 189 q^{27} - 482 q^{28} - 716 q^{29} - 645 q^{30} + 637 q^{31} - 844 q^{32} + 42 q^{33} - 90 q^{34} + 430 q^{35} - 180 q^{36} + 216 q^{37} + 2314 q^{38} + 12 q^{39} - 500 q^{40} - 38 q^{41} + 933 q^{42} - 1392 q^{43} + 603 q^{44} + 270 q^{45} + 1622 q^{46} - 536 q^{47} - 198 q^{48} + 162 q^{49} - 2265 q^{50} - 876 q^{51} - 1922 q^{52} + 1672 q^{53} - 1000 q^{55} + 3000 q^{56} - 1104 q^{57} - 827 q^{58} + 973 q^{59} + 1365 q^{60} - 2712 q^{61} + 1057 q^{62} + 234 q^{63} + 4439 q^{64} - 4360 q^{65} + 1098 q^{66} + 2768 q^{67} - 1370 q^{68} + 396 q^{69} + 3230 q^{70} - 1074 q^{71} - 567 q^{72} - 1018 q^{73} - 1414 q^{74} + 765 q^{75} - 11408 q^{76} + 1607 q^{77} + 168 q^{78} - 1820 q^{79} - 1290 q^{80} - 567 q^{81} + 1772 q^{82} + 4045 q^{83} + 774 q^{84} + 1850 q^{85} - 3986 q^{86} + 1392 q^{87} + 2407 q^{88} + 4542 q^{89} - 180 q^{90} + 4412 q^{91} - 1089 q^{92} - 5334 q^{93} + 5137 q^{94} - 720 q^{95} + 1623 q^{96} - 5977 q^{97} - 10689 q^{98} - 594 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).

\(n\) \(26\) \(52\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.76530 2.73565i −1.33123 0.967198i −0.999718 0.0237477i \(-0.992440\pi\)
−0.331515 0.943450i \(-0.607560\pi\)
\(3\) 0.927051 + 2.85317i 0.178411 + 0.549093i
\(4\) 4.22155 + 12.9926i 0.527694 + 1.62407i
\(5\) 5.34090 9.82216i 0.477705 0.878520i
\(6\) 4.31465 13.2791i 0.293574 0.903529i
\(7\) −26.0445 −1.40627 −0.703136 0.711056i \(-0.748217\pi\)
−0.703136 + 0.711056i \(0.748217\pi\)
\(8\) 8.14206 25.0587i 0.359832 1.10745i
\(9\) −7.28115 + 5.29007i −0.269672 + 0.195928i
\(10\) −46.9800 + 22.3725i −1.48564 + 0.707481i
\(11\) −2.03543 1.47883i −0.0557915 0.0405349i 0.559540 0.828803i \(-0.310978\pi\)
−0.615331 + 0.788268i \(0.710978\pi\)
\(12\) −33.1565 + 24.0896i −0.797621 + 0.579506i
\(13\) −32.0534 + 23.2881i −0.683846 + 0.496843i −0.874632 0.484788i \(-0.838897\pi\)
0.190785 + 0.981632i \(0.438897\pi\)
\(14\) 98.0653 + 71.2486i 1.87208 + 1.36014i
\(15\) 32.9756 + 6.13286i 0.567617 + 0.105567i
\(16\) −10.7917 + 7.84062i −0.168620 + 0.122510i
\(17\) −26.2638 + 80.8316i −0.374700 + 1.15321i 0.568981 + 0.822351i \(0.307338\pi\)
−0.943681 + 0.330857i \(0.892662\pi\)
\(18\) 41.8875 0.548498
\(19\) −44.1360 + 135.837i −0.532921 + 1.64016i 0.215179 + 0.976575i \(0.430967\pi\)
−0.748099 + 0.663587i \(0.769033\pi\)
\(20\) 150.162 + 27.9275i 1.67886 + 0.312239i
\(21\) −24.1446 74.3094i −0.250894 0.772173i
\(22\) 3.61845 + 11.1365i 0.0350662 + 0.107923i
\(23\) −127.177 92.3993i −1.15296 0.837678i −0.164092 0.986445i \(-0.552469\pi\)
−0.988872 + 0.148768i \(0.952469\pi\)
\(24\) 79.0448 0.672289
\(25\) −67.9495 104.918i −0.543596 0.839347i
\(26\) 184.399 1.39090
\(27\) −21.8435 15.8702i −0.155695 0.113119i
\(28\) −109.948 338.386i −0.742081 2.28389i
\(29\) −30.9737 95.3273i −0.198334 0.610408i −0.999921 0.0125312i \(-0.996011\pi\)
0.801588 0.597877i \(-0.203989\pi\)
\(30\) −107.385 113.302i −0.653527 0.689531i
\(31\) −53.5715 + 164.876i −0.310378 + 0.955246i 0.667237 + 0.744846i \(0.267477\pi\)
−0.977615 + 0.210401i \(0.932523\pi\)
\(32\) −148.703 −0.821476
\(33\) 2.33240 7.17839i 0.0123036 0.0378666i
\(34\) 320.018 232.506i 1.61419 1.17278i
\(35\) −139.101 + 255.813i −0.671783 + 1.23544i
\(36\) −99.4695 72.2688i −0.460507 0.334578i
\(37\) 48.0520 34.9118i 0.213506 0.155121i −0.475893 0.879503i \(-0.657875\pi\)
0.689398 + 0.724382i \(0.257875\pi\)
\(38\) 537.786 390.725i 2.29580 1.66800i
\(39\) −96.1601 69.8644i −0.394819 0.286853i
\(40\) −202.644 213.809i −0.801022 0.845153i
\(41\) 287.546 208.914i 1.09530 0.795779i 0.115011 0.993364i \(-0.463310\pi\)
0.980286 + 0.197585i \(0.0633098\pi\)
\(42\) −112.373 + 345.848i −0.412845 + 1.27061i
\(43\) 109.742 0.389198 0.194599 0.980883i \(-0.437659\pi\)
0.194599 + 0.980883i \(0.437659\pi\)
\(44\) 10.6211 32.6885i 0.0363908 0.112000i
\(45\) 13.0719 + 99.7704i 0.0433033 + 0.330509i
\(46\) 226.086 + 695.821i 0.724665 + 2.23029i
\(47\) −17.9575 55.2674i −0.0557312 0.171523i 0.919316 0.393520i \(-0.128743\pi\)
−0.975047 + 0.221997i \(0.928743\pi\)
\(48\) −32.3751 23.5219i −0.0973529 0.0707310i
\(49\) 335.317 0.977600
\(50\) −31.1696 + 580.935i −0.0881610 + 1.64313i
\(51\) −254.974 −0.700069
\(52\) −437.888 318.144i −1.16777 0.848436i
\(53\) −120.787 371.745i −0.313045 0.963455i −0.976552 0.215284i \(-0.930932\pi\)
0.663506 0.748171i \(-0.269068\pi\)
\(54\) 38.8318 + 119.512i 0.0978581 + 0.301176i
\(55\) −25.3963 + 12.0941i −0.0622626 + 0.0296502i
\(56\) −212.056 + 652.641i −0.506021 + 1.55737i
\(57\) −428.481 −0.995680
\(58\) −144.157 + 443.669i −0.326357 + 1.00442i
\(59\) −333.759 + 242.490i −0.736470 + 0.535077i −0.891604 0.452817i \(-0.850419\pi\)
0.155134 + 0.987893i \(0.450419\pi\)
\(60\) 59.5262 + 454.328i 0.128080 + 0.977559i
\(61\) −290.142 210.800i −0.608998 0.442463i 0.240064 0.970757i \(-0.422832\pi\)
−0.849061 + 0.528294i \(0.822832\pi\)
\(62\) 652.756 474.255i 1.33710 0.971459i
\(63\) 189.634 137.777i 0.379233 0.275529i
\(64\) 646.244 + 469.524i 1.26220 + 0.917039i
\(65\) 57.5458 + 439.213i 0.109810 + 0.838118i
\(66\) −28.4197 + 20.6481i −0.0530034 + 0.0385092i
\(67\) 108.468 333.831i 0.197783 0.608715i −0.802149 0.597123i \(-0.796310\pi\)
0.999933 0.0115915i \(-0.00368977\pi\)
\(68\) −1161.09 −2.07062
\(69\) 145.732 448.516i 0.254261 0.782535i
\(70\) 1223.57 582.681i 2.08921 0.994910i
\(71\) 52.7887 + 162.467i 0.0882376 + 0.271567i 0.985432 0.170068i \(-0.0543986\pi\)
−0.897195 + 0.441635i \(0.854399\pi\)
\(72\) 73.2785 + 225.528i 0.119944 + 0.369149i
\(73\) 754.724 + 548.339i 1.21005 + 0.879154i 0.995236 0.0975001i \(-0.0310846\pi\)
0.214817 + 0.976654i \(0.431085\pi\)
\(74\) −276.437 −0.434258
\(75\) 236.357 291.136i 0.363896 0.448233i
\(76\) −1951.19 −2.94496
\(77\) 53.0119 + 38.5154i 0.0784580 + 0.0570030i
\(78\) 170.947 + 526.120i 0.248153 + 0.763736i
\(79\) −405.819 1248.98i −0.577952 1.77875i −0.625898 0.779905i \(-0.715267\pi\)
0.0479457 0.998850i \(-0.484733\pi\)
\(80\) 19.3744 + 147.874i 0.0270766 + 0.206660i
\(81\) 25.0304 77.0356i 0.0343352 0.105673i
\(82\) −1654.21 −2.22777
\(83\) −202.066 + 621.896i −0.267225 + 0.822433i 0.723948 + 0.689855i \(0.242326\pi\)
−0.991173 + 0.132578i \(0.957674\pi\)
\(84\) 863.545 627.402i 1.12167 0.814942i
\(85\) 653.668 + 689.680i 0.834121 + 0.880075i
\(86\) −413.211 300.216i −0.518113 0.376431i
\(87\) 243.271 176.747i 0.299786 0.217807i
\(88\) −53.6301 + 38.9646i −0.0649658 + 0.0472004i
\(89\) −857.273 622.845i −1.02102 0.741814i −0.0545280 0.998512i \(-0.517365\pi\)
−0.966492 + 0.256698i \(0.917365\pi\)
\(90\) 223.717 411.425i 0.262020 0.481867i
\(91\) 834.814 606.528i 0.961674 0.698697i
\(92\) 663.624 2042.42i 0.752039 2.31454i
\(93\) −520.083 −0.579894
\(94\) −83.5770 + 257.224i −0.0917054 + 0.282240i
\(95\) 1098.48 + 1159.00i 1.18634 + 1.25169i
\(96\) −137.855 424.275i −0.146560 0.451066i
\(97\) 198.234 + 610.103i 0.207502 + 0.638624i 0.999601 + 0.0282327i \(0.00898793\pi\)
−0.792100 + 0.610392i \(0.791012\pi\)
\(98\) −1262.57 917.308i −1.30141 0.945532i
\(99\) 22.6434 0.0229874
\(100\) 1076.31 1325.76i 1.07631 1.32576i
\(101\) 864.030 0.851229 0.425615 0.904904i \(-0.360058\pi\)
0.425615 + 0.904904i \(0.360058\pi\)
\(102\) 960.053 + 697.519i 0.931955 + 0.677105i
\(103\) 566.152 + 1742.44i 0.541598 + 1.66687i 0.728944 + 0.684574i \(0.240012\pi\)
−0.187345 + 0.982294i \(0.559988\pi\)
\(104\) 322.589 + 992.828i 0.304159 + 0.936104i
\(105\) −858.833 159.727i −0.798224 0.148455i
\(106\) −562.163 + 1730.16i −0.515115 + 1.58536i
\(107\) −1037.99 −0.937816 −0.468908 0.883247i \(-0.655352\pi\)
−0.468908 + 0.883247i \(0.655352\pi\)
\(108\) 113.982 350.800i 0.101555 0.312553i
\(109\) −1259.67 + 915.201i −1.10692 + 0.804224i −0.982176 0.187966i \(-0.939811\pi\)
−0.124743 + 0.992189i \(0.539811\pi\)
\(110\) 128.710 + 23.9377i 0.111564 + 0.0207488i
\(111\) 144.156 + 104.736i 0.123267 + 0.0895591i
\(112\) 281.064 204.205i 0.237126 0.172282i
\(113\) 788.953 573.208i 0.656800 0.477193i −0.208781 0.977963i \(-0.566949\pi\)
0.865581 + 0.500769i \(0.166949\pi\)
\(114\) 1613.36 + 1172.17i 1.32548 + 0.963019i
\(115\) −1586.80 + 755.654i −1.28669 + 0.612740i
\(116\) 1107.79 804.858i 0.886689 0.644217i
\(117\) 110.190 339.129i 0.0870687 0.267970i
\(118\) 1920.07 1.49794
\(119\) 684.027 2105.22i 0.526930 1.62172i
\(120\) 422.170 776.390i 0.321156 0.590620i
\(121\) −409.346 1259.84i −0.307547 0.946534i
\(122\) 515.794 + 1587.45i 0.382769 + 1.17804i
\(123\) 862.638 + 626.743i 0.632370 + 0.459443i
\(124\) −2368.33 −1.71518
\(125\) −1393.44 + 107.052i −0.997062 + 0.0766002i
\(126\) −1090.94 −0.771338
\(127\) 832.392 + 604.768i 0.581597 + 0.422555i 0.839300 0.543669i \(-0.182965\pi\)
−0.257702 + 0.966224i \(0.582965\pi\)
\(128\) −781.235 2404.39i −0.539469 1.66032i
\(129\) 101.736 + 313.113i 0.0694372 + 0.213706i
\(130\) 984.855 1811.19i 0.664442 1.22194i
\(131\) −825.045 + 2539.23i −0.550264 + 1.69354i 0.157870 + 0.987460i \(0.449537\pi\)
−0.708134 + 0.706078i \(0.750463\pi\)
\(132\) 103.112 0.0679907
\(133\) 1149.50 3537.80i 0.749431 2.30651i
\(134\) −1321.66 + 960.241i −0.852044 + 0.619046i
\(135\) −272.543 + 129.789i −0.173754 + 0.0827439i
\(136\) 1811.69 + 1316.27i 1.14229 + 0.829921i
\(137\) 986.533 716.758i 0.615221 0.446984i −0.236028 0.971746i \(-0.575846\pi\)
0.851249 + 0.524762i \(0.175846\pi\)
\(138\) −1775.70 + 1290.12i −1.09535 + 0.795816i
\(139\) −708.126 514.484i −0.432104 0.313942i 0.350386 0.936606i \(-0.386051\pi\)
−0.782490 + 0.622664i \(0.786051\pi\)
\(140\) −3910.90 727.357i −2.36094 0.439092i
\(141\) 141.040 102.471i 0.0842390 0.0612032i
\(142\) 245.687 756.148i 0.145194 0.446863i
\(143\) 99.6816 0.0582923
\(144\) 37.0985 114.178i 0.0214691 0.0660750i
\(145\) −1101.75 204.905i −0.631001 0.117355i
\(146\) −1341.70 4129.32i −0.760546 2.34072i
\(147\) 310.856 + 956.715i 0.174415 + 0.536793i
\(148\) 656.449 + 476.938i 0.364593 + 0.264893i
\(149\) −819.633 −0.450650 −0.225325 0.974284i \(-0.572344\pi\)
−0.225325 + 0.974284i \(0.572344\pi\)
\(150\) −1686.40 + 449.624i −0.917960 + 0.244744i
\(151\) 567.457 0.305821 0.152911 0.988240i \(-0.451135\pi\)
0.152911 + 0.988240i \(0.451135\pi\)
\(152\) 3044.53 + 2211.98i 1.62463 + 1.18036i
\(153\) −236.374 727.484i −0.124900 0.384403i
\(154\) −94.2409 290.044i −0.0493126 0.151769i
\(155\) 1333.32 + 1406.78i 0.690934 + 0.729000i
\(156\) 501.775 1544.31i 0.257527 0.792586i
\(157\) −1643.63 −0.835516 −0.417758 0.908558i \(-0.637184\pi\)
−0.417758 + 0.908558i \(0.637184\pi\)
\(158\) −1888.75 + 5812.97i −0.951018 + 2.92693i
\(159\) 948.675 689.253i 0.473175 0.343782i
\(160\) −794.208 + 1460.58i −0.392423 + 0.721683i
\(161\) 3312.26 + 2406.49i 1.62138 + 1.17800i
\(162\) −304.989 + 221.587i −0.147915 + 0.107466i
\(163\) 1035.78 752.538i 0.497721 0.361615i −0.310425 0.950598i \(-0.600471\pi\)
0.808146 + 0.588982i \(0.200471\pi\)
\(164\) 3928.23 + 2854.03i 1.87039 + 1.35892i
\(165\) −58.0501 61.2482i −0.0273891 0.0288980i
\(166\) 2462.13 1788.84i 1.15119 0.836391i
\(167\) −487.198 + 1499.44i −0.225752 + 0.694792i 0.772463 + 0.635060i \(0.219025\pi\)
−0.998214 + 0.0597320i \(0.980975\pi\)
\(168\) −2058.68 −0.945422
\(169\) −193.829 + 596.545i −0.0882246 + 0.271527i
\(170\) −574.531 4385.06i −0.259203 1.97834i
\(171\) −397.224 1222.53i −0.177640 0.546720i
\(172\) 463.282 + 1425.83i 0.205377 + 0.632086i
\(173\) −1797.33 1305.83i −0.789874 0.573877i 0.118052 0.993007i \(-0.462335\pi\)
−0.907926 + 0.419131i \(0.862335\pi\)
\(174\) −1399.50 −0.609747
\(175\) 1769.71 + 2732.55i 0.764444 + 1.18035i
\(176\) 33.5607 0.0143735
\(177\) −1001.28 727.470i −0.425201 0.308927i
\(178\) 1524.00 + 4690.39i 0.641734 + 1.97506i
\(179\) 931.708 + 2867.50i 0.389045 + 1.19736i 0.933503 + 0.358570i \(0.116736\pi\)
−0.544458 + 0.838788i \(0.683264\pi\)
\(180\) −1241.09 + 591.024i −0.513920 + 0.244735i
\(181\) 764.093 2351.64i 0.313782 0.965722i −0.662471 0.749088i \(-0.730492\pi\)
0.976253 0.216634i \(-0.0695079\pi\)
\(182\) −4802.57 −1.95599
\(183\) 332.473 1023.25i 0.134301 0.413336i
\(184\) −3350.88 + 2434.56i −1.34256 + 0.975425i
\(185\) −86.2684 658.435i −0.0342842 0.261671i
\(186\) 1958.27 + 1422.76i 0.771974 + 0.560872i
\(187\) 172.994 125.688i 0.0676502 0.0491508i
\(188\) 642.259 466.628i 0.249157 0.181023i
\(189\) 568.902 + 413.332i 0.218950 + 0.159076i
\(190\) −965.494 7369.04i −0.368654 2.81372i
\(191\) 518.536 376.738i 0.196439 0.142722i −0.485218 0.874393i \(-0.661260\pi\)
0.681657 + 0.731672i \(0.261260\pi\)
\(192\) −740.530 + 2279.12i −0.278350 + 0.856672i
\(193\) −658.953 −0.245764 −0.122882 0.992421i \(-0.539214\pi\)
−0.122882 + 0.992421i \(0.539214\pi\)
\(194\) 922.615 2839.52i 0.341443 1.05085i
\(195\) −1199.80 + 571.360i −0.440613 + 0.209826i
\(196\) 1415.56 + 4356.63i 0.515873 + 1.58769i
\(197\) 865.948 + 2665.12i 0.313179 + 0.963866i 0.976498 + 0.215529i \(0.0691475\pi\)
−0.663318 + 0.748337i \(0.730853\pi\)
\(198\) −85.2591 61.9444i −0.0306015 0.0222333i
\(199\) −2715.89 −0.967459 −0.483729 0.875218i \(-0.660718\pi\)
−0.483729 + 0.875218i \(0.660718\pi\)
\(200\) −3182.36 + 848.474i −1.12514 + 0.299981i
\(201\) 1053.03 0.369528
\(202\) −3253.33 2363.68i −1.13318 0.823307i
\(203\) 806.696 + 2482.75i 0.278911 + 0.858400i
\(204\) −1076.39 3312.77i −0.369422 1.13696i
\(205\) −516.235 3940.11i −0.175880 1.34239i
\(206\) 2634.96 8109.58i 0.891197 2.74282i
\(207\) 1414.79 0.475047
\(208\) 163.317 502.637i 0.0544421 0.167556i
\(209\) 290.715 211.217i 0.0962162 0.0699051i
\(210\) 2796.80 + 2950.88i 0.919036 + 0.969668i
\(211\) 1402.23 + 1018.78i 0.457505 + 0.332397i 0.792552 0.609805i \(-0.208752\pi\)
−0.335047 + 0.942201i \(0.608752\pi\)
\(212\) 4320.02 3138.68i 1.39953 1.01682i
\(213\) −414.608 + 301.230i −0.133373 + 0.0969012i
\(214\) 3908.34 + 2839.58i 1.24845 + 0.907053i
\(215\) 586.122 1077.90i 0.185922 0.341918i
\(216\) −575.537 + 418.152i −0.181298 + 0.131721i
\(217\) 1395.24 4294.12i 0.436476 1.34334i
\(218\) 7246.68 2.25141
\(219\) −864.837 + 2661.69i −0.266851 + 0.821282i
\(220\) −264.345 278.909i −0.0810098 0.0854728i
\(221\) −1040.57 3202.56i −0.316727 0.974784i
\(222\) −256.271 788.720i −0.0774764 0.238448i
\(223\) −3541.18 2572.82i −1.06338 0.772594i −0.0886732 0.996061i \(-0.528263\pi\)
−0.974712 + 0.223467i \(0.928263\pi\)
\(224\) 3872.90 1.15522
\(225\) 1049.78 + 404.469i 0.311045 + 0.119843i
\(226\) −4538.74 −1.33589
\(227\) 1819.26 + 1321.77i 0.531931 + 0.386471i 0.821080 0.570814i \(-0.193372\pi\)
−0.289148 + 0.957284i \(0.593372\pi\)
\(228\) −1808.86 5567.09i −0.525414 1.61706i
\(229\) 693.843 + 2135.43i 0.200220 + 0.616215i 0.999876 + 0.0157557i \(0.00501539\pi\)
−0.799656 + 0.600459i \(0.794985\pi\)
\(230\) 8041.97 + 1495.66i 2.30553 + 0.428787i
\(231\) −60.7462 + 186.958i −0.0173022 + 0.0532507i
\(232\) −2640.97 −0.747362
\(233\) 218.901 673.707i 0.0615479 0.189425i −0.915555 0.402193i \(-0.868248\pi\)
0.977103 + 0.212768i \(0.0682480\pi\)
\(234\) −1342.63 + 975.481i −0.375089 + 0.272518i
\(235\) −638.754 118.797i −0.177310 0.0329764i
\(236\) −4559.56 3312.71i −1.25763 0.913725i
\(237\) 3187.35 2315.74i 0.873588 0.634699i
\(238\) −8334.70 + 6055.52i −2.26999 + 1.64925i
\(239\) −4411.37 3205.04i −1.19392 0.867435i −0.200249 0.979745i \(-0.564175\pi\)
−0.993673 + 0.112309i \(0.964175\pi\)
\(240\) −403.948 + 192.365i −0.108645 + 0.0517380i
\(241\) −4628.17 + 3362.56i −1.23704 + 0.898762i −0.997397 0.0720995i \(-0.977030\pi\)
−0.239642 + 0.970861i \(0.577030\pi\)
\(242\) −1905.16 + 5863.48i −0.506068 + 1.55752i
\(243\) 243.000 0.0641500
\(244\) 1514.00 4659.60i 0.397228 1.22254i
\(245\) 1790.89 3293.53i 0.467004 0.858841i
\(246\) −1533.54 4719.75i −0.397459 1.22325i
\(247\) −1748.67 5381.87i −0.450468 1.38640i
\(248\) 3695.40 + 2684.86i 0.946202 + 0.687456i
\(249\) −1961.70 −0.499268
\(250\) 5539.56 + 3408.87i 1.40141 + 0.862383i
\(251\) 2045.23 0.514319 0.257159 0.966369i \(-0.417213\pi\)
0.257159 + 0.966369i \(0.417213\pi\)
\(252\) 2590.63 + 1882.21i 0.647598 + 0.470507i
\(253\) 122.217 + 376.145i 0.0303704 + 0.0934705i
\(254\) −1479.77 4554.26i −0.365547 1.12504i
\(255\) −1361.79 + 2504.39i −0.334426 + 0.615025i
\(256\) −1661.25 + 5112.79i −0.405578 + 1.24824i
\(257\) 407.547 0.0989186 0.0494593 0.998776i \(-0.484250\pi\)
0.0494593 + 0.998776i \(0.484250\pi\)
\(258\) 473.498 1457.28i 0.114259 0.351652i
\(259\) −1251.49 + 909.262i −0.300247 + 0.218142i
\(260\) −5463.58 + 2601.83i −1.30322 + 0.620610i
\(261\) 729.812 + 530.240i 0.173081 + 0.125751i
\(262\) 10053.0 7303.91i 2.37052 1.72228i
\(263\) 717.991 521.651i 0.168339 0.122306i −0.500426 0.865779i \(-0.666823\pi\)
0.668765 + 0.743474i \(0.266823\pi\)
\(264\) −160.890 116.894i −0.0375080 0.0272512i
\(265\) −4296.45 799.062i −0.995958 0.185230i
\(266\) −14006.4 + 10176.2i −3.22852 + 2.34566i
\(267\) 982.347 3023.35i 0.225164 0.692982i
\(268\) 4795.23 1.09297
\(269\) 1864.45 5738.18i 0.422592 1.30061i −0.482688 0.875792i \(-0.660340\pi\)
0.905281 0.424814i \(-0.139660\pi\)
\(270\) 1381.26 + 256.890i 0.311337 + 0.0579031i
\(271\) 2019.40 + 6215.08i 0.452656 + 1.39313i 0.873865 + 0.486169i \(0.161606\pi\)
−0.421209 + 0.906964i \(0.638394\pi\)
\(272\) −350.339 1078.23i −0.0780972 0.240358i
\(273\) 2504.44 + 1819.58i 0.555223 + 0.403393i
\(274\) −5675.39 −1.25132
\(275\) −16.8496 + 314.040i −0.00369480 + 0.0688630i
\(276\) 6442.59 1.40507
\(277\) 4454.88 + 3236.66i 0.966309 + 0.702064i 0.954607 0.297867i \(-0.0962753\pi\)
0.0117014 + 0.999932i \(0.496275\pi\)
\(278\) 1258.86 + 3874.37i 0.271587 + 0.835860i
\(279\) −482.144 1483.89i −0.103459 0.318415i
\(280\) 5277.77 + 5568.54i 1.12645 + 1.18851i
\(281\) −2323.54 + 7151.11i −0.493276 + 1.51815i 0.326350 + 0.945249i \(0.394181\pi\)
−0.819626 + 0.572898i \(0.805819\pi\)
\(282\) −811.382 −0.171337
\(283\) 1384.45 4260.88i 0.290801 0.894994i −0.693798 0.720169i \(-0.744064\pi\)
0.984600 0.174825i \(-0.0559359\pi\)
\(284\) −1888.02 + 1371.73i −0.394483 + 0.286609i
\(285\) −2288.48 + 4208.61i −0.475641 + 0.874725i
\(286\) −375.331 272.694i −0.0776006 0.0563802i
\(287\) −7489.00 + 5441.08i −1.54028 + 1.11908i
\(288\) 1082.73 786.649i 0.221529 0.160950i
\(289\) −1869.26 1358.09i −0.380471 0.276429i
\(290\) 3587.86 + 3785.52i 0.726504 + 0.766529i
\(291\) −1556.95 + 1131.19i −0.313643 + 0.227875i
\(292\) −3938.24 + 12120.7i −0.789275 + 2.42914i
\(293\) −6672.17 −1.33035 −0.665174 0.746688i \(-0.731643\pi\)
−0.665174 + 0.746688i \(0.731643\pi\)
\(294\) 1446.77 4452.71i 0.286998 0.883290i
\(295\) 599.201 + 4573.35i 0.118261 + 0.902612i
\(296\) −483.602 1488.37i −0.0949622 0.292264i
\(297\) 20.9916 + 64.6055i 0.00410120 + 0.0126222i
\(298\) 3086.16 + 2242.23i 0.599921 + 0.435868i
\(299\) 6228.25 1.20464
\(300\) 4780.41 + 1841.85i 0.919990 + 0.354464i
\(301\) −2858.18 −0.547318
\(302\) −2136.65 1552.36i −0.407120 0.295790i
\(303\) 801.000 + 2465.22i 0.151869 + 0.467404i
\(304\) −588.742 1811.96i −0.111075 0.341852i
\(305\) −3620.13 + 1723.95i −0.679634 + 0.323650i
\(306\) −1100.12 + 3385.83i −0.205522 + 0.632533i
\(307\) 5433.28 1.01008 0.505039 0.863097i \(-0.331478\pi\)
0.505039 + 0.863097i \(0.331478\pi\)
\(308\) −276.622 + 851.356i −0.0511754 + 0.157502i
\(309\) −4446.62 + 3230.66i −0.818638 + 0.594775i
\(310\) −1171.90 8944.42i −0.214708 1.63874i
\(311\) −415.035 301.541i −0.0756736 0.0549801i 0.549305 0.835622i \(-0.314892\pi\)
−0.624979 + 0.780642i \(0.714892\pi\)
\(312\) −2533.65 + 1840.80i −0.459743 + 0.334023i
\(313\) 806.159 585.709i 0.145581 0.105771i −0.512611 0.858621i \(-0.671322\pi\)
0.658192 + 0.752850i \(0.271322\pi\)
\(314\) 6188.75 + 4496.39i 1.11227 + 0.808109i
\(315\) −340.452 2598.47i −0.0608962 0.464785i
\(316\) 14514.4 10545.3i 2.58385 1.87728i
\(317\) 1322.77 4071.07i 0.234366 0.721305i −0.762838 0.646589i \(-0.776195\pi\)
0.997205 0.0747164i \(-0.0238051\pi\)
\(318\) −5457.60 −0.962411
\(319\) −77.9278 + 239.837i −0.0136775 + 0.0420950i
\(320\) 8063.27 3839.83i 1.40859 0.670791i
\(321\) −962.270 2961.56i −0.167317 0.514948i
\(322\) −5888.30 18122.3i −1.01908 3.13639i
\(323\) −9820.71 7135.17i −1.69176 1.22914i
\(324\) 1106.56 0.189739
\(325\) 4621.36 + 1780.57i 0.788760 + 0.303902i
\(326\) −5958.70 −1.01234
\(327\) −3779.00 2745.60i −0.639080 0.464319i
\(328\) −2893.90 8906.52i −0.487162 1.49933i
\(329\) 467.694 + 1439.41i 0.0783732 + 0.241208i
\(330\) 51.0222 + 389.422i 0.00851116 + 0.0649606i
\(331\) −918.630 + 2827.25i −0.152545 + 0.469486i −0.997904 0.0647132i \(-0.979387\pi\)
0.845359 + 0.534199i \(0.179387\pi\)
\(332\) −8933.07 −1.47670
\(333\) −165.188 + 508.397i −0.0271839 + 0.0836636i
\(334\) 5936.39 4313.04i 0.972529 0.706584i
\(335\) −2699.62 2848.35i −0.440286 0.464543i
\(336\) 843.193 + 612.616i 0.136905 + 0.0994670i
\(337\) −1248.14 + 906.825i −0.201752 + 0.146581i −0.684074 0.729413i \(-0.739794\pi\)
0.482322 + 0.875994i \(0.339794\pi\)
\(338\) 2361.76 1715.92i 0.380068 0.276136i
\(339\) 2366.86 + 1719.62i 0.379204 + 0.275508i
\(340\) −6201.25 + 11404.4i −0.989146 + 1.81908i
\(341\) 352.865 256.371i 0.0560373 0.0407135i
\(342\) −1848.75 + 5689.85i −0.292306 + 0.899626i
\(343\) 200.108 0.0315009
\(344\) 893.526 2749.99i 0.140046 0.431016i
\(345\) −3627.05 3826.88i −0.566011 0.597194i
\(346\) 3195.16 + 9833.70i 0.496454 + 1.52793i
\(347\) −1738.01 5349.05i −0.268880 0.827527i −0.990774 0.135524i \(-0.956728\pi\)
0.721894 0.692003i \(-0.243272\pi\)
\(348\) 3323.38 + 2414.57i 0.511930 + 0.371939i
\(349\) 3546.44 0.543945 0.271972 0.962305i \(-0.412324\pi\)
0.271972 + 0.962305i \(0.412324\pi\)
\(350\) 811.798 15130.2i 0.123978 2.31069i
\(351\) 1069.74 0.162674
\(352\) 302.675 + 219.906i 0.0458313 + 0.0332984i
\(353\) −592.091 1822.27i −0.0892742 0.274758i 0.896445 0.443155i \(-0.146141\pi\)
−0.985719 + 0.168397i \(0.946141\pi\)
\(354\) 1780.00 + 5478.28i 0.267249 + 0.822507i
\(355\) 1877.72 + 349.221i 0.280729 + 0.0522105i
\(356\) 4473.36 13767.6i 0.665976 2.04966i
\(357\) 6640.67 0.984487
\(358\) 4336.32 13345.8i 0.640172 1.97025i
\(359\) −2130.22 + 1547.69i −0.313171 + 0.227532i −0.733256 0.679953i \(-0.762000\pi\)
0.420085 + 0.907485i \(0.362000\pi\)
\(360\) 2606.55 + 484.771i 0.381603 + 0.0709713i
\(361\) −10954.6 7958.96i −1.59711 1.16037i
\(362\) −9310.28 + 6764.32i −1.35176 + 0.982112i
\(363\) 3215.04 2335.86i 0.464865 0.337744i
\(364\) 11404.6 + 8285.92i 1.64221 + 1.19313i
\(365\) 9416.78 4484.39i 1.35040 0.643079i
\(366\) −4051.10 + 2943.30i −0.578564 + 0.420351i
\(367\) −2102.12 + 6469.65i −0.298991 + 0.920199i 0.682861 + 0.730548i \(0.260735\pi\)
−0.981852 + 0.189650i \(0.939265\pi\)
\(368\) 2096.92 0.297037
\(369\) −988.495 + 3042.28i −0.139455 + 0.429199i
\(370\) −1476.42 + 2715.20i −0.207447 + 0.381505i
\(371\) 3145.85 + 9681.92i 0.440227 + 1.35488i
\(372\) −2195.56 6757.23i −0.306006 0.941791i
\(373\) 5424.55 + 3941.17i 0.753010 + 0.547094i 0.896758 0.442520i \(-0.145916\pi\)
−0.143748 + 0.989614i \(0.545916\pi\)
\(374\) −995.212 −0.137597
\(375\) −1597.22 3876.47i −0.219947 0.533813i
\(376\) −1531.14 −0.210007
\(377\) 3212.81 + 2334.24i 0.438907 + 0.318885i
\(378\) −1011.36 3112.63i −0.137615 0.423536i
\(379\) 1202.29 + 3700.27i 0.162948 + 0.501504i 0.998879 0.0473310i \(-0.0150716\pi\)
−0.835931 + 0.548835i \(0.815072\pi\)
\(380\) −10421.1 + 19164.9i −1.40682 + 2.58721i
\(381\) −953.837 + 2935.61i −0.128259 + 0.394739i
\(382\) −2983.06 −0.399547
\(383\) −1743.53 + 5366.04i −0.232612 + 0.715906i 0.764817 + 0.644247i \(0.222829\pi\)
−0.997429 + 0.0716588i \(0.977171\pi\)
\(384\) 6135.90 4457.99i 0.815420 0.592437i
\(385\) 661.435 314.984i 0.0875581 0.0416963i
\(386\) 2481.15 + 1802.66i 0.327169 + 0.237702i
\(387\) −799.049 + 580.543i −0.104956 + 0.0762549i
\(388\) −7089.96 + 5151.16i −0.927676 + 0.673996i
\(389\) 3785.35 + 2750.22i 0.493380 + 0.358462i 0.806483 0.591257i \(-0.201368\pi\)
−0.313102 + 0.949719i \(0.601368\pi\)
\(390\) 6080.65 + 1130.89i 0.789501 + 0.146833i
\(391\) 10808.9 7853.14i 1.39803 1.01573i
\(392\) 2730.17 8402.59i 0.351771 1.08264i
\(393\) −8009.71 −1.02808
\(394\) 4030.26 12403.9i 0.515334 1.58604i
\(395\) −14435.2 2684.68i −1.83876 0.341977i
\(396\) 95.5903 + 294.197i 0.0121303 + 0.0373332i
\(397\) 2589.33 + 7969.14i 0.327342 + 1.00746i 0.970372 + 0.241614i \(0.0776769\pi\)
−0.643030 + 0.765841i \(0.722323\pi\)
\(398\) 10226.1 + 7429.72i 1.28791 + 0.935724i
\(399\) 11159.6 1.40020
\(400\) 1555.92 + 599.480i 0.194489 + 0.0749350i
\(401\) 6042.30 0.752464 0.376232 0.926525i \(-0.377220\pi\)
0.376232 + 0.926525i \(0.377220\pi\)
\(402\) −3964.97 2880.72i −0.491928 0.357406i
\(403\) −2122.51 6532.42i −0.262357 0.807451i
\(404\) 3647.55 + 11226.0i 0.449189 + 1.38246i
\(405\) −622.971 657.292i −0.0764337 0.0806447i
\(406\) 3754.49 11555.1i 0.458947 1.41249i
\(407\) −149.435 −0.0181996
\(408\) −2076.01 + 6389.31i −0.251907 + 0.775290i
\(409\) −5290.72 + 3843.93i −0.639631 + 0.464719i −0.859723 0.510760i \(-0.829364\pi\)
0.220092 + 0.975479i \(0.429364\pi\)
\(410\) −8834.99 + 16247.9i −1.06422 + 1.95714i
\(411\) 2959.60 + 2150.27i 0.355198 + 0.258066i
\(412\) −20248.7 + 14711.6i −2.42132 + 1.75919i
\(413\) 8692.59 6315.54i 1.03568 0.752463i
\(414\) −5327.11 3870.37i −0.632399 0.459465i
\(415\) 5029.14 + 5306.21i 0.594869 + 0.627642i
\(416\) 4766.43 3463.01i 0.561763 0.408145i
\(417\) 811.440 2497.36i 0.0952911 0.293276i
\(418\) −1672.44 −0.195698
\(419\) 4050.94 12467.5i 0.472319 1.45365i −0.377221 0.926123i \(-0.623120\pi\)
0.849540 0.527525i \(-0.176880\pi\)
\(420\) −1550.33 11832.8i −0.180115 1.37471i
\(421\) 1054.72 + 3246.11i 0.122100 + 0.375785i 0.993362 0.115034i \(-0.0366977\pi\)
−0.871262 + 0.490819i \(0.836698\pi\)
\(422\) −2492.79 7672.01i −0.287552 0.884995i
\(423\) 423.119 + 307.414i 0.0486354 + 0.0353357i
\(424\) −10298.9 −1.17962
\(425\) 10265.3 2736.91i 1.17163 0.312376i
\(426\) 2385.18 0.271273
\(427\) 7556.60 + 5490.19i 0.856416 + 0.622223i
\(428\) −4381.93 13486.2i −0.494880 1.52308i
\(429\) 92.4100 + 284.409i 0.0104000 + 0.0320079i
\(430\) −5155.69 + 2455.20i −0.578208 + 0.275350i
\(431\) −467.178 + 1437.83i −0.0522116 + 0.160691i −0.973762 0.227567i \(-0.926923\pi\)
0.921551 + 0.388258i \(0.126923\pi\)
\(432\) 360.160 0.0401116
\(433\) −2665.17 + 8202.55i −0.295797 + 0.910368i 0.687156 + 0.726510i \(0.258859\pi\)
−0.982953 + 0.183858i \(0.941141\pi\)
\(434\) −17000.7 + 12351.7i −1.88032 + 1.36613i
\(435\) −436.747 3333.43i −0.0481389 0.367415i
\(436\) −17208.6 12502.8i −1.89023 1.37333i
\(437\) 18164.3 13197.1i 1.98836 1.44463i
\(438\) 10537.8 7656.18i 1.14958 0.835220i
\(439\) 2854.86 + 2074.17i 0.310375 + 0.225501i 0.732058 0.681243i \(-0.238560\pi\)
−0.421682 + 0.906744i \(0.638560\pi\)
\(440\) 96.2828 + 734.869i 0.0104320 + 0.0796216i
\(441\) −2441.49 + 1773.85i −0.263632 + 0.191540i
\(442\) −4843.00 + 14905.2i −0.521172 + 1.60400i
\(443\) −9589.40 −1.02846 −0.514228 0.857653i \(-0.671922\pi\)
−0.514228 + 0.857653i \(0.671922\pi\)
\(444\) −752.224 + 2315.11i −0.0804031 + 0.247455i
\(445\) −10696.3 + 5093.71i −1.13944 + 0.542618i
\(446\) 6295.26 + 19374.8i 0.668362 + 2.05701i
\(447\) −759.841 2338.55i −0.0804010 0.247449i
\(448\) −16831.1 12228.5i −1.77499 1.28961i
\(449\) −9820.81 −1.03223 −0.516117 0.856518i \(-0.672623\pi\)
−0.516117 + 0.856518i \(0.672623\pi\)
\(450\) −2846.23 4394.76i −0.298162 0.460380i
\(451\) −894.230 −0.0933650
\(452\) 10778.1 + 7830.72i 1.12159 + 0.814881i
\(453\) 526.062 + 1619.05i 0.0545619 + 0.167924i
\(454\) −3234.15 9953.70i −0.334331 1.02897i
\(455\) −1498.75 11439.1i −0.154423 1.17862i
\(456\) −3488.72 + 10737.2i −0.358277 + 1.10266i
\(457\) 1597.23 0.163491 0.0817455 0.996653i \(-0.473951\pi\)
0.0817455 + 0.996653i \(0.473951\pi\)
\(458\) 3229.26 9938.63i 0.329461 1.01398i
\(459\) 1856.50 1348.83i 0.188789 0.137163i
\(460\) −16516.7 17426.6i −1.67412 1.76635i
\(461\) 3157.65 + 2294.17i 0.319016 + 0.231779i 0.735755 0.677247i \(-0.236827\pi\)
−0.416740 + 0.909026i \(0.636827\pi\)
\(462\) 740.177 537.770i 0.0745372 0.0541544i
\(463\) 12670.8 9205.86i 1.27184 0.924044i 0.272563 0.962138i \(-0.412129\pi\)
0.999274 + 0.0380937i \(0.0121285\pi\)
\(464\) 1081.68 + 785.890i 0.108224 + 0.0786293i
\(465\) −2777.71 + 5108.34i −0.277018 + 0.509449i
\(466\) −2667.25 + 1937.87i −0.265146 + 0.192640i
\(467\) −1976.88 + 6084.21i −0.195887 + 0.602878i 0.804078 + 0.594523i \(0.202659\pi\)
−0.999965 + 0.00835414i \(0.997341\pi\)
\(468\) 4871.34 0.481149
\(469\) −2825.00 + 8694.46i −0.278137 + 0.856019i
\(470\) 2080.11 + 2194.71i 0.204146 + 0.215393i
\(471\) −1523.73 4689.56i −0.149065 0.458776i
\(472\) 3359.00 + 10337.9i 0.327564 + 1.00814i
\(473\) −223.373 162.290i −0.0217139 0.0157761i
\(474\) −18336.4 −1.77683
\(475\) 17250.8 4599.36i 1.66636 0.444280i
\(476\) 30239.9 2.91186
\(477\) 2846.03 + 2067.76i 0.273188 + 0.198483i
\(478\) 7842.22 + 24135.9i 0.750408 + 2.30952i
\(479\) −3178.50 9782.42i −0.303193 0.933132i −0.980345 0.197289i \(-0.936786\pi\)
0.677153 0.735843i \(-0.263214\pi\)
\(480\) −4903.56 911.975i −0.466284 0.0867203i
\(481\) −727.197 + 2238.08i −0.0689342 + 0.212158i
\(482\) 26625.2 2.51607
\(483\) −3795.51 + 11681.4i −0.357560 + 1.10046i
\(484\) 14640.5 10636.9i 1.37495 0.998960i
\(485\) 7051.28 + 1311.41i 0.660169 + 0.122780i
\(486\) −914.967 664.762i −0.0853987 0.0620458i
\(487\) −1685.55 + 1224.62i −0.156837 + 0.113949i −0.663436 0.748233i \(-0.730902\pi\)
0.506599 + 0.862182i \(0.330902\pi\)
\(488\) −7644.73 + 5554.22i −0.709141 + 0.515221i
\(489\) 3107.34 + 2257.61i 0.287359 + 0.208779i
\(490\) −15753.2 + 7501.87i −1.45236 + 0.691633i
\(491\) −14323.2 + 10406.4i −1.31649 + 0.956487i −0.316522 + 0.948585i \(0.602515\pi\)
−0.999969 + 0.00790172i \(0.997485\pi\)
\(492\) −4501.35 + 13853.7i −0.412473 + 1.26946i
\(493\) 8518.94 0.778243
\(494\) −8138.61 + 25048.1i −0.741242 + 2.28131i
\(495\) 120.936 222.407i 0.0109812 0.0201949i
\(496\) −714.605 2199.33i −0.0646909 0.199098i
\(497\) −1374.86 4231.37i −0.124086 0.381897i
\(498\) 7386.38 + 5366.52i 0.664642 + 0.482890i
\(499\) 5018.92 0.450256 0.225128 0.974329i \(-0.427720\pi\)
0.225128 + 0.974329i \(0.427720\pi\)
\(500\) −7273.35 17652.4i −0.650548 1.57888i
\(501\) −4729.82 −0.421782
\(502\) −7700.91 5595.04i −0.684678 0.497448i
\(503\) −3109.30 9569.44i −0.275620 0.848270i −0.989055 0.147549i \(-0.952862\pi\)
0.713435 0.700721i \(-0.247138\pi\)
\(504\) −1908.50 5873.77i −0.168674 0.519124i
\(505\) 4614.70 8486.64i 0.406636 0.747822i
\(506\) 568.818 1750.64i 0.0499744 0.153805i
\(507\) −1881.73 −0.164834
\(508\) −4343.53 + 13368.0i −0.379356 + 1.16754i
\(509\) 4301.55 3125.26i 0.374584 0.272151i −0.384525 0.923114i \(-0.625635\pi\)
0.759109 + 0.650963i \(0.225635\pi\)
\(510\) 11978.7 5704.41i 1.04005 0.495285i
\(511\) −19656.4 14281.2i −1.70166 1.23633i
\(512\) 3879.49 2818.62i 0.334865 0.243294i
\(513\) 3119.84 2266.70i 0.268507 0.195082i
\(514\) −1534.53 1114.90i −0.131684 0.0956738i
\(515\) 20138.3 + 3745.35i 1.72310 + 0.320466i
\(516\) −3638.66 + 2643.64i −0.310432 + 0.225542i
\(517\) −45.1798 + 139.049i −0.00384334 + 0.0118286i
\(518\) 7199.66 0.610685
\(519\) 2059.55 6338.65i 0.174189 0.536100i
\(520\) 11474.6 + 2134.08i 0.967685 + 0.179972i
\(521\) −1938.78 5966.95i −0.163032 0.501760i 0.835854 0.548952i \(-0.184973\pi\)
−0.998886 + 0.0471916i \(0.984973\pi\)
\(522\) −1297.41 3993.02i −0.108786 0.334808i
\(523\) −11374.4 8264.02i −0.950994 0.690937i 4.79448e−5 1.00000i \(-0.499985\pi\)
−0.951042 + 0.309063i \(0.899985\pi\)
\(524\) −36474.1 −3.04080
\(525\) −6155.81 + 7582.50i −0.511736 + 0.630338i
\(526\) −4130.50 −0.342392
\(527\) −11920.2 8660.54i −0.985299 0.715862i
\(528\) 31.1125 + 95.7544i 0.00256439 + 0.00789238i
\(529\) 3876.48 + 11930.6i 0.318606 + 0.980568i
\(530\) 13991.5 + 14762.3i 1.14670 + 1.20987i
\(531\) 1147.36 3531.21i 0.0937688 0.288591i
\(532\) 50817.9 4.14142
\(533\) −4351.59 + 13392.8i −0.353637 + 1.08838i
\(534\) −11969.7 + 8696.47i −0.969996 + 0.704743i
\(535\) −5543.80 + 10195.3i −0.447999 + 0.823890i
\(536\) −7482.20 5436.14i −0.602951 0.438070i
\(537\) −7317.73 + 5316.64i −0.588051 + 0.427244i
\(538\) −22717.8 + 16505.5i −1.82051 + 1.32268i
\(539\) −682.515 495.876i −0.0545417 0.0396269i
\(540\) −2836.85 2993.14i −0.226071 0.238526i
\(541\) 16286.0 11832.5i 1.29425 0.940328i 0.294369 0.955692i \(-0.404890\pi\)
0.999882 + 0.0153633i \(0.00489048\pi\)
\(542\) 9398.62 28926.0i 0.744844 2.29239i
\(543\) 7417.97 0.586253
\(544\) 3905.50 12019.9i 0.307807 0.947332i
\(545\) 2261.49 + 17260.6i 0.177746 + 1.35663i
\(546\) −4452.23 13702.5i −0.348970 1.07402i
\(547\) −4085.46 12573.8i −0.319345 0.982843i −0.973929 0.226854i \(-0.927156\pi\)
0.654584 0.755989i \(-0.272844\pi\)
\(548\) 13477.3 + 9791.80i 1.05058 + 0.763293i
\(549\) 3227.72 0.250921
\(550\) 922.547 1136.36i 0.0715228 0.0880991i
\(551\) 14316.0 1.10686
\(552\) −10052.7 7303.68i −0.775126 0.563162i
\(553\) 10569.4 + 32529.2i 0.812758 + 2.50141i
\(554\) −7919.57 24373.9i −0.607347 1.86922i
\(555\) 1798.65 856.541i 0.137565 0.0655102i
\(556\) 3695.09 11372.3i 0.281846 0.867434i
\(557\) −14165.4 −1.07757 −0.538786 0.842442i \(-0.681117\pi\)
−0.538786 + 0.842442i \(0.681117\pi\)
\(558\) −2243.98 + 6906.25i −0.170242 + 0.523951i
\(559\) −3517.60 + 2555.69i −0.266152 + 0.193370i
\(560\) −504.598 3851.30i −0.0380771 0.290620i
\(561\) 518.983 + 377.063i 0.0390579 + 0.0283772i
\(562\) 28311.7 20569.7i 2.12501 1.54391i
\(563\) −9115.09 + 6622.50i −0.682336 + 0.495746i −0.874132 0.485689i \(-0.838569\pi\)
0.191796 + 0.981435i \(0.438569\pi\)
\(564\) 1926.78 + 1399.89i 0.143851 + 0.104514i
\(565\) −1416.42 10810.7i −0.105467 0.804970i
\(566\) −16869.1 + 12256.1i −1.25276 + 0.910183i
\(567\) −651.904 + 2006.35i −0.0482846 + 0.148605i
\(568\) 4501.02 0.332497
\(569\) −2287.20 + 7039.27i −0.168514 + 0.518632i −0.999278 0.0379926i \(-0.987904\pi\)
0.830764 + 0.556624i \(0.187904\pi\)
\(570\) 20130.1 9586.20i 1.47922 0.704424i
\(571\) −4038.92 12430.5i −0.296013 0.911035i −0.982879 0.184251i \(-0.941014\pi\)
0.686866 0.726784i \(-0.258986\pi\)
\(572\) 420.811 + 1295.12i 0.0307605 + 0.0946710i
\(573\) 1555.61 + 1130.21i 0.113414 + 0.0824003i
\(574\) 43083.2 3.13285
\(575\) −1052.79 + 19621.7i −0.0763552 + 1.42310i
\(576\) −7189.22 −0.520053
\(577\) −6647.54 4829.72i −0.479620 0.348464i 0.321559 0.946890i \(-0.395793\pi\)
−0.801179 + 0.598425i \(0.795793\pi\)
\(578\) 3323.04 + 10227.3i 0.239135 + 0.735982i
\(579\) −610.883 1880.10i −0.0438470 0.134947i
\(580\) −1988.83 15179.6i −0.142382 1.08672i
\(581\) 5262.71 16197.0i 0.375790 1.15656i
\(582\) 8956.94 0.637933
\(583\) −303.893 + 935.286i −0.0215883 + 0.0664418i
\(584\) 19885.7 14447.8i 1.40903 1.02372i
\(585\) −2742.46 2893.55i −0.193824 0.204502i
\(586\) 25122.7 + 18252.7i 1.77100 + 1.28671i
\(587\) −16152.0 + 11735.1i −1.13572 + 0.825145i −0.986517 0.163662i \(-0.947669\pi\)
−0.149199 + 0.988807i \(0.547669\pi\)
\(588\) −11117.9 + 8077.64i −0.779754 + 0.566525i
\(589\) −20031.8 14554.0i −1.40135 1.01814i
\(590\) 10254.9 18859.2i 0.715572 1.31597i
\(591\) −6801.25 + 4941.39i −0.473377 + 0.343929i
\(592\) −244.832 + 753.515i −0.0169975 + 0.0523130i
\(593\) −14429.9 −0.999267 −0.499634 0.866237i \(-0.666532\pi\)
−0.499634 + 0.866237i \(0.666532\pi\)
\(594\) 97.6983 300.684i 0.00674850 0.0207697i
\(595\) −17024.5 17962.4i −1.17300 1.23762i
\(596\) −3460.12 10649.2i −0.237805 0.731890i
\(597\) −2517.77 7748.89i −0.172605 0.531225i
\(598\) −23451.2 17038.3i −1.60366 1.16513i
\(599\) −7838.61 −0.534686 −0.267343 0.963601i \(-0.586146\pi\)
−0.267343 + 0.963601i \(0.586146\pi\)
\(600\) −5371.05 8293.25i −0.365454 0.564284i
\(601\) −25163.3 −1.70787 −0.853937 0.520376i \(-0.825792\pi\)
−0.853937 + 0.520376i \(0.825792\pi\)
\(602\) 10761.9 + 7818.97i 0.728608 + 0.529365i
\(603\) 976.213 + 3004.48i 0.0659278 + 0.202905i
\(604\) 2395.55 + 7372.74i 0.161380 + 0.496677i
\(605\) −14560.6 2708.01i −0.978466 0.181977i
\(606\) 3727.98 11473.5i 0.249899 0.769111i
\(607\) −563.698 −0.0376932 −0.0188466 0.999822i \(-0.505999\pi\)
−0.0188466 + 0.999822i \(0.505999\pi\)
\(608\) 6563.16 20199.3i 0.437781 1.34735i
\(609\) −6335.87 + 4603.28i −0.421580 + 0.306296i
\(610\) 18347.0 + 3412.21i 1.21778 + 0.226486i
\(611\) 1862.67 + 1353.31i 0.123332 + 0.0896057i
\(612\) 8454.04 6142.22i 0.558390 0.405694i
\(613\) 5449.70 3959.44i 0.359072 0.260881i −0.393593 0.919285i \(-0.628768\pi\)
0.752665 + 0.658404i \(0.228768\pi\)
\(614\) −20457.9 14863.6i −1.34465 0.976945i
\(615\) 10763.2 5125.59i 0.705717 0.336071i
\(616\) 1396.77 1014.81i 0.0913595 0.0663766i
\(617\) −3151.55 + 9699.47i −0.205635 + 0.632878i 0.794052 + 0.607850i \(0.207968\pi\)
−0.999687 + 0.0250287i \(0.992032\pi\)
\(618\) 25580.8 1.66506
\(619\) 2342.12 7208.30i 0.152080 0.468055i −0.845773 0.533543i \(-0.820860\pi\)
0.997853 + 0.0654878i \(0.0208604\pi\)
\(620\) −12649.0 + 23262.1i −0.819348 + 1.50682i
\(621\) 1311.58 + 4036.64i 0.0847537 + 0.260845i
\(622\) 737.821 + 2270.78i 0.0475626 + 0.146383i
\(623\) 22327.3 + 16221.7i 1.43583 + 1.04319i
\(624\) 1585.51 0.101717
\(625\) −6390.73 + 14258.3i −0.409006 + 0.912531i
\(626\) −4637.72 −0.296103
\(627\) 872.145 + 633.651i 0.0555504 + 0.0403598i
\(628\) −6938.67 21355.0i −0.440896 1.35694i
\(629\) 1559.95 + 4801.04i 0.0988861 + 0.304340i
\(630\) −5826.60 + 10715.4i −0.368472 + 0.677636i
\(631\) 1413.93 4351.64i 0.0892042 0.274542i −0.896496 0.443052i \(-0.853896\pi\)
0.985700 + 0.168510i \(0.0538956\pi\)
\(632\) −34602.1 −2.17784
\(633\) −1606.81 + 4945.26i −0.100893 + 0.310516i
\(634\) −16117.6 + 11710.1i −1.00964 + 0.733547i
\(635\) 10385.9 4945.88i 0.649055 0.309088i
\(636\) 12960.1 + 9416.04i 0.808019 + 0.587060i
\(637\) −10748.0 + 7808.90i −0.668528 + 0.485714i
\(638\) 949.532 689.875i 0.0589221 0.0428094i
\(639\) −1243.82 903.691i −0.0770030 0.0559460i
\(640\) −27788.8 5168.22i −1.71633 0.319206i
\(641\) 14330.6 10411.8i 0.883034 0.641562i −0.0510186 0.998698i \(-0.516247\pi\)
0.934052 + 0.357136i \(0.116247\pi\)
\(642\) −4478.56 + 13783.6i −0.275319 + 0.847344i
\(643\) −13212.2 −0.810323 −0.405162 0.914245i \(-0.632785\pi\)
−0.405162 + 0.914245i \(0.632785\pi\)
\(644\) −17283.8 + 53193.9i −1.05757 + 3.25487i
\(645\) 3618.81 + 673.033i 0.220915 + 0.0410863i
\(646\) 17458.6 + 53732.0i 1.06331 + 3.27254i
\(647\) 1302.73 + 4009.39i 0.0791586 + 0.243625i 0.982803 0.184659i \(-0.0591181\pi\)
−0.903644 + 0.428284i \(0.859118\pi\)
\(648\) −1726.61 1254.46i −0.104672 0.0760489i
\(649\) 1037.95 0.0627780
\(650\) −12529.8 19346.8i −0.756091 1.16745i
\(651\) 13545.3 0.815488
\(652\) 14150.0 + 10280.6i 0.849935 + 0.617514i
\(653\) 8093.51 + 24909.3i 0.485028 + 1.49276i 0.831940 + 0.554866i \(0.187230\pi\)
−0.346911 + 0.937898i \(0.612770\pi\)
\(654\) 6718.05 + 20676.0i 0.401676 + 1.23623i
\(655\) 20534.2 + 21665.5i 1.22494 + 1.29243i
\(656\) −1465.09 + 4509.08i −0.0871983 + 0.268369i
\(657\) −8396.02 −0.498569
\(658\) 2176.72 6699.26i 0.128963 0.396906i
\(659\) 10410.7 7563.80i 0.615391 0.447107i −0.235918 0.971773i \(-0.575810\pi\)
0.851308 + 0.524666i \(0.175810\pi\)
\(660\) 550.712 1012.78i 0.0324795 0.0597312i
\(661\) 17474.6 + 12696.0i 1.02827 + 0.747078i 0.967961 0.251102i \(-0.0807929\pi\)
0.0603043 + 0.998180i \(0.480793\pi\)
\(662\) 11193.3 8132.40i 0.657159 0.477454i
\(663\) 8172.77 5937.87i 0.478739 0.347825i
\(664\) 13938.6 + 10127.0i 0.814645 + 0.591874i
\(665\) −28609.5 30185.6i −1.66831 1.76022i
\(666\) 2012.78 1462.37i 0.117107 0.0850835i
\(667\) −4869.04 + 14985.4i −0.282654 + 0.869918i
\(668\) −21538.4 −1.24752
\(669\) 4057.83 12488.7i 0.234506 0.721736i
\(670\) 2372.79 + 18110.1i 0.136819 + 1.04426i
\(671\) 278.827 + 858.140i 0.0160417 + 0.0493713i
\(672\) 3590.37 + 11050.0i 0.206104 + 0.634322i
\(673\) −8553.18 6214.25i −0.489897 0.355931i 0.315248 0.949009i \(-0.397912\pi\)
−0.805145 + 0.593078i \(0.797912\pi\)
\(674\) 7180.37 0.410352
\(675\) −180.823 + 3370.15i −0.0103109 + 0.192174i
\(676\) −8568.93 −0.487536
\(677\) 12670.0 + 9205.29i 0.719272 + 0.522582i 0.886152 0.463395i \(-0.153369\pi\)
−0.166879 + 0.985977i \(0.553369\pi\)
\(678\) −4207.64 12949.8i −0.238338 0.733530i
\(679\) −5162.92 15889.8i −0.291804 0.898079i
\(680\) 22604.7 10764.6i 1.27478 0.607066i
\(681\) −2084.68 + 6416.00i −0.117306 + 0.361030i
\(682\) −2029.98 −0.113977
\(683\) 7323.05 22538.0i 0.410261 1.26265i −0.506160 0.862440i \(-0.668935\pi\)
0.916421 0.400215i \(-0.131065\pi\)
\(684\) 14206.9 10321.9i 0.794175 0.577002i
\(685\) −1771.13 13518.0i −0.0987906 0.754010i
\(686\) −753.466 547.425i −0.0419351 0.0304676i
\(687\) −5449.51 + 3959.30i −0.302637 + 0.219879i
\(688\) −1184.30 + 860.446i −0.0656266 + 0.0476805i
\(689\) 12528.9 + 9102.77i 0.692761 + 0.503320i
\(690\) 3187.94 + 24331.7i 0.175888 + 1.34245i
\(691\) −3580.95 + 2601.71i −0.197143 + 0.143233i −0.681978 0.731373i \(-0.738880\pi\)
0.484835 + 0.874606i \(0.338880\pi\)
\(692\) 9378.67 28864.6i 0.515207 1.58564i
\(693\) −589.736 −0.0323265
\(694\) −8088.99 + 24895.3i −0.442441 + 1.36169i
\(695\) −8835.37 + 4207.52i −0.482223 + 0.229641i
\(696\) −2448.31 7535.13i −0.133338 0.410371i
\(697\) 9334.84 + 28729.7i 0.507292 + 1.56128i
\(698\) −13353.4 9701.82i −0.724118 0.526102i
\(699\) 2125.13 0.114993
\(700\) −28032.0 + 34528.7i −1.51358 + 1.86438i
\(701\) 5192.49 0.279768 0.139884 0.990168i \(-0.455327\pi\)
0.139884 + 0.990168i \(0.455327\pi\)
\(702\) −4027.90 2926.44i −0.216557 0.157338i
\(703\) 2621.48 + 8068.10i 0.140642 + 0.432851i
\(704\) −621.041 1911.37i −0.0332477 0.102326i
\(705\) −253.210 1932.61i −0.0135269 0.103243i
\(706\) −2755.69 + 8481.13i −0.146900 + 0.452113i
\(707\) −22503.2 −1.19706
\(708\) 5224.79 16080.2i 0.277344 0.853577i
\(709\) 906.237 658.420i 0.0480035 0.0348766i −0.563525 0.826099i \(-0.690555\pi\)
0.611528 + 0.791223i \(0.290555\pi\)
\(710\) −6114.81 6451.69i −0.323218 0.341025i
\(711\) 9562.04 + 6947.23i 0.504366 + 0.366444i
\(712\) −22587.6 + 16410.9i −1.18892 + 0.863798i
\(713\) 22047.5 16018.4i 1.15804 0.841368i
\(714\) −25004.1 18166.5i −1.31058 0.952193i
\(715\) 532.390 979.089i 0.0278465 0.0512110i
\(716\) −33323.0 + 24210.6i −1.73930 + 1.26368i
\(717\) 5054.97 15557.6i 0.263294 0.810334i
\(718\) 12254.8 0.636973
\(719\) 7041.08 21670.2i 0.365213 1.12401i −0.584635 0.811297i \(-0.698762\pi\)
0.949848 0.312713i \(-0.101238\pi\)
\(720\) −923.330 974.199i −0.0477923 0.0504253i
\(721\) −14745.2 45380.9i −0.761634 2.34407i
\(722\) 19474.3 + 59935.7i 1.00382 + 3.08944i
\(723\) −13884.5 10087.7i −0.714205 0.518900i
\(724\) 33779.5 1.73399
\(725\) −7896.94 + 9727.16i −0.404531 + 0.498286i
\(726\) −18495.7 −0.945509
\(727\) −25911.7 18825.9i −1.32188 0.960406i −0.999907 0.0136585i \(-0.995652\pi\)
−0.321978 0.946747i \(-0.604348\pi\)
\(728\) −8401.69 25857.7i −0.427730 1.31642i
\(729\) 225.273 + 693.320i 0.0114451 + 0.0352243i
\(730\) −47724.7 8875.93i −2.41969 0.450018i
\(731\) −2882.24 + 8870.62i −0.145832 + 0.448826i
\(732\) 14698.2 0.742159
\(733\) 6712.80 20659.9i 0.338258 1.04105i −0.626837 0.779151i \(-0.715651\pi\)
0.965095 0.261901i \(-0.0843492\pi\)
\(734\) 25613.8 18609.5i 1.28804 0.935816i
\(735\) 11057.3 + 2056.45i 0.554902 + 0.103202i
\(736\) 18911.6 + 13740.0i 0.947132 + 0.688132i
\(737\) −714.458 + 519.084i −0.0357088 + 0.0259440i
\(738\) 12044.6 8750.90i 0.600768 0.436484i
\(739\) −24270.5 17633.5i −1.20812 0.877754i −0.213066 0.977038i \(-0.568345\pi\)
−0.995059 + 0.0992837i \(0.968345\pi\)
\(740\) 8190.60 3900.47i 0.406882 0.193762i
\(741\) 13734.3 9978.53i 0.680892 0.494697i
\(742\) 14641.3 45061.2i 0.724391 2.22945i
\(743\) −5551.03 −0.274088 −0.137044 0.990565i \(-0.543760\pi\)
−0.137044 + 0.990565i \(0.543760\pi\)
\(744\) −4234.55 + 13032.6i −0.208664 + 0.642202i
\(745\) −4377.58 + 8050.56i −0.215278 + 0.395906i
\(746\) −9643.40 29679.3i −0.473284 1.45662i
\(747\) −1818.60 5597.06i −0.0890749 0.274144i
\(748\) 2363.31 + 1717.05i 0.115523 + 0.0839324i
\(749\) 27033.9 1.31882
\(750\) −4590.63 + 18965.5i −0.223501 + 0.923362i
\(751\) 5337.87 0.259363 0.129682 0.991556i \(-0.458604\pi\)
0.129682 + 0.991556i \(0.458604\pi\)
\(752\) 627.122 + 455.631i 0.0304106 + 0.0220946i
\(753\) 1896.04 + 5835.40i 0.0917601 + 0.282409i
\(754\) −5711.51 17578.2i −0.275863 0.849020i
\(755\) 3030.73 5573.66i 0.146092 0.268670i
\(756\) −2968.60 + 9136.42i −0.142814 + 0.439535i
\(757\) −17462.2 −0.838409 −0.419205 0.907892i \(-0.637691\pi\)
−0.419205 + 0.907892i \(0.637691\pi\)
\(758\) 5595.65 17221.6i 0.268131 0.825222i
\(759\) −959.905 + 697.411i −0.0459056 + 0.0333523i
\(760\) 37987.0 18089.9i 1.81307 0.863406i
\(761\) −11011.7 8000.49i −0.524540 0.381100i 0.293772 0.955876i \(-0.405089\pi\)
−0.818311 + 0.574775i \(0.805089\pi\)
\(762\) 11622.3 8444.07i 0.552533 0.401439i
\(763\) 32807.4 23836.0i 1.55663 1.13096i
\(764\) 7083.83 + 5146.71i 0.335450 + 0.243719i
\(765\) −8407.91 1563.72i −0.397371 0.0739038i
\(766\) 21244.5 15435.1i 1.00208 0.728056i
\(767\) 5050.96 15545.2i 0.237783 0.731820i
\(768\) −16127.7 −0.757759
\(769\) −7403.09 + 22784.4i −0.347155 + 1.06843i 0.613265 + 0.789877i \(0.289856\pi\)
−0.960420 + 0.278556i \(0.910144\pi\)
\(770\) −3352.19 623.446i −0.156889