Properties

Label 75.4.g.b.16.4
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 16.4
Character \(\chi\) \(=\) 75.16
Dual form 75.4.g.b.61.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.109191 + 0.0793317i) q^{2} +(0.927051 + 2.85317i) q^{3} +(-2.46651 - 7.59113i) q^{4} +(-6.22327 - 9.28822i) q^{5} +(-0.125121 + 0.385084i) q^{6} -17.3099 q^{7} +(0.666555 - 2.05145i) q^{8} +(-7.28115 + 5.29007i) q^{9} +O(q^{10})\) \(q+(0.109191 + 0.0793317i) q^{2} +(0.927051 + 2.85317i) q^{3} +(-2.46651 - 7.59113i) q^{4} +(-6.22327 - 9.28822i) q^{5} +(-0.125121 + 0.385084i) q^{6} -17.3099 q^{7} +(0.666555 - 2.05145i) q^{8} +(-7.28115 + 5.29007i) q^{9} +(0.0573272 - 1.50789i) q^{10} +(-34.1037 - 24.7778i) q^{11} +(19.3722 - 14.0747i) q^{12} +(68.3813 - 49.6819i) q^{13} +(-1.89008 - 1.37322i) q^{14} +(20.7316 - 26.3667i) q^{15} +(-51.4237 + 37.3615i) q^{16} +(-13.9374 + 42.8949i) q^{17} -1.21471 q^{18} +(25.8534 - 79.5686i) q^{19} +(-55.1583 + 70.1511i) q^{20} +(-16.0472 - 49.3881i) q^{21} +(-1.75814 - 5.41101i) q^{22} +(-16.9333 - 12.3027i) q^{23} +6.47105 q^{24} +(-47.5419 + 115.606i) q^{25} +11.4080 q^{26} +(-21.8435 - 15.8702i) q^{27} +(42.6950 + 131.402i) q^{28} +(68.0039 + 209.295i) q^{29} +(4.35541 - 1.23433i) q^{30} +(49.5106 - 152.378i) q^{31} -25.8351 q^{32} +(39.0793 - 120.274i) q^{33} +(-4.92477 + 3.57805i) q^{34} +(107.724 + 160.778i) q^{35} +(58.1166 + 42.2242i) q^{36} +(212.955 - 154.721i) q^{37} +(9.13527 - 6.63716i) q^{38} +(205.144 + 149.046i) q^{39} +(-23.2024 + 6.57558i) q^{40} +(-331.812 + 241.075i) q^{41} +(2.16584 - 6.66577i) q^{42} +290.699 q^{43} +(-103.974 + 320.000i) q^{44} +(94.4478 + 34.7074i) q^{45} +(-0.872959 - 2.68669i) q^{46} +(-142.456 - 438.434i) q^{47} +(-154.271 - 112.084i) q^{48} -43.3675 q^{49} +(-14.3624 + 8.85153i) q^{50} -135.307 q^{51} +(-545.805 - 396.550i) q^{52} +(-44.0172 - 135.471i) q^{53} +(-1.12609 - 3.46576i) q^{54} +(-17.9050 + 470.961i) q^{55} +(-11.5380 + 35.5103i) q^{56} +250.990 q^{57} +(-9.17830 + 28.2479i) q^{58} +(382.240 - 277.714i) q^{59} +(-251.287 - 92.3424i) q^{60} +(-43.7180 - 31.7630i) q^{61} +(17.4945 - 12.7105i) q^{62} +(126.036 - 91.5705i) q^{63} +(408.568 + 296.842i) q^{64} +(-887.012 - 325.957i) q^{65} +(13.8086 - 10.0326i) q^{66} +(139.046 - 427.938i) q^{67} +359.998 q^{68} +(19.4038 - 59.7188i) q^{69} +(-0.992327 + 26.1014i) q^{70} +(-193.462 - 595.416i) q^{71} +(5.99899 + 18.4630i) q^{72} +(-39.4327 - 28.6495i) q^{73} +35.5271 q^{74} +(-373.918 - 28.4724i) q^{75} -667.783 q^{76} +(590.331 + 428.900i) q^{77} +(10.5758 + 32.5489i) q^{78} +(-200.110 - 615.877i) q^{79} +(667.045 + 245.124i) q^{80} +(25.0304 - 77.0356i) q^{81} -55.3557 q^{82} +(206.995 - 637.066i) q^{83} +(-335.331 + 243.632i) q^{84} +(485.154 - 137.493i) q^{85} +(31.7417 + 23.0617i) q^{86} +(-534.110 + 388.054i) q^{87} +(-73.5622 + 53.4460i) q^{88} +(700.638 + 509.043i) q^{89} +(7.55943 + 11.2824i) q^{90} +(-1183.67 + 859.989i) q^{91} +(-51.6256 + 158.887i) q^{92} +480.659 q^{93} +(19.2269 - 59.1743i) q^{94} +(-899.943 + 255.045i) q^{95} +(-23.9504 - 73.7119i) q^{96} +(-54.7107 - 168.382i) q^{97} +(-4.73533 - 3.44042i) q^{98} +379.390 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.109191 + 0.0793317i 0.0386048 + 0.0280480i 0.606920 0.794763i \(-0.292405\pi\)
−0.568316 + 0.822811i \(0.692405\pi\)
\(3\) 0.927051 + 2.85317i 0.178411 + 0.549093i
\(4\) −2.46651 7.59113i −0.308313 0.948891i
\(5\) −6.22327 9.28822i −0.556626 0.830763i
\(6\) −0.125121 + 0.385084i −0.00851344 + 0.0262017i
\(7\) −17.3099 −0.934647 −0.467323 0.884087i \(-0.654782\pi\)
−0.467323 + 0.884087i \(0.654782\pi\)
\(8\) 0.666555 2.05145i 0.0294578 0.0906619i
\(9\) −7.28115 + 5.29007i −0.269672 + 0.195928i
\(10\) 0.0573272 1.50789i 0.00181284 0.0476837i
\(11\) −34.1037 24.7778i −0.934785 0.679161i 0.0123744 0.999923i \(-0.496061\pi\)
−0.947160 + 0.320762i \(0.896061\pi\)
\(12\) 19.3722 14.0747i 0.466023 0.338585i
\(13\) 68.3813 49.6819i 1.45889 1.05995i 0.475239 0.879857i \(-0.342361\pi\)
0.983650 0.180089i \(-0.0576385\pi\)
\(14\) −1.89008 1.37322i −0.0360818 0.0262150i
\(15\) 20.7316 26.3667i 0.356858 0.453857i
\(16\) −51.4237 + 37.3615i −0.803495 + 0.583773i
\(17\) −13.9374 + 42.8949i −0.198842 + 0.611974i 0.801068 + 0.598573i \(0.204266\pi\)
−0.999910 + 0.0134002i \(0.995734\pi\)
\(18\) −1.21471 −0.0159060
\(19\) 25.8534 79.5686i 0.312167 0.960753i −0.664737 0.747077i \(-0.731457\pi\)
0.976905 0.213675i \(-0.0685435\pi\)
\(20\) −55.1583 + 70.1511i −0.616689 + 0.784313i
\(21\) −16.0472 49.3881i −0.166751 0.513208i
\(22\) −1.75814 5.41101i −0.0170381 0.0524377i
\(23\) −16.9333 12.3027i −0.153514 0.111535i 0.508377 0.861135i \(-0.330246\pi\)
−0.661891 + 0.749600i \(0.730246\pi\)
\(24\) 6.47105 0.0550374
\(25\) −47.5419 + 115.606i −0.380335 + 0.924849i
\(26\) 11.4080 0.0860495
\(27\) −21.8435 15.8702i −0.155695 0.113119i
\(28\) 42.6950 + 131.402i 0.288164 + 0.886878i
\(29\) 68.0039 + 209.295i 0.435449 + 1.34017i 0.892626 + 0.450798i \(0.148861\pi\)
−0.457177 + 0.889376i \(0.651139\pi\)
\(30\) 4.35541 1.23433i 0.0265062 0.00751187i
\(31\) 49.5106 152.378i 0.286850 0.882834i −0.698988 0.715134i \(-0.746366\pi\)
0.985838 0.167701i \(-0.0536342\pi\)
\(32\) −25.8351 −0.142720
\(33\) 39.0793 120.274i 0.206147 0.634454i
\(34\) −4.92477 + 3.57805i −0.0248409 + 0.0180480i
\(35\) 107.724 + 160.778i 0.520248 + 0.776470i
\(36\) 58.1166 + 42.2242i 0.269058 + 0.195482i
\(37\) 212.955 154.721i 0.946206 0.687459i −0.00370013 0.999993i \(-0.501178\pi\)
0.949907 + 0.312534i \(0.101178\pi\)
\(38\) 9.13527 6.63716i 0.0389983 0.0283340i
\(39\) 205.144 + 149.046i 0.842290 + 0.611960i
\(40\) −23.2024 + 6.57558i −0.0917156 + 0.0259923i
\(41\) −331.812 + 241.075i −1.26391 + 0.918284i −0.998943 0.0459734i \(-0.985361\pi\)
−0.264967 + 0.964257i \(0.585361\pi\)
\(42\) 2.16584 6.66577i 0.00795706 0.0244893i
\(43\) 290.699 1.03096 0.515479 0.856902i \(-0.327614\pi\)
0.515479 + 0.856902i \(0.327614\pi\)
\(44\) −103.974 + 320.000i −0.356243 + 1.09640i
\(45\) 94.4478 + 34.7074i 0.312877 + 0.114975i
\(46\) −0.872959 2.68669i −0.00279806 0.00861154i
\(47\) −142.456 438.434i −0.442114 1.36069i −0.885618 0.464414i \(-0.846265\pi\)
0.443505 0.896272i \(-0.353735\pi\)
\(48\) −154.271 112.084i −0.463898 0.337042i
\(49\) −43.3675 −0.126436
\(50\) −14.3624 + 8.85153i −0.0406229 + 0.0250359i
\(51\) −135.307 −0.371506
\(52\) −545.805 396.550i −1.45557 1.05753i
\(53\) −44.0172 135.471i −0.114080 0.351101i 0.877674 0.479258i \(-0.159094\pi\)
−0.991754 + 0.128156i \(0.959094\pi\)
\(54\) −1.12609 3.46576i −0.00283781 0.00873389i
\(55\) −17.9050 + 470.961i −0.0438967 + 1.15462i
\(56\) −11.5380 + 35.5103i −0.0275327 + 0.0847369i
\(57\) 250.990 0.583236
\(58\) −9.17830 + 28.2479i −0.0207788 + 0.0639506i
\(59\) 382.240 277.714i 0.843448 0.612801i −0.0798836 0.996804i \(-0.525455\pi\)
0.923332 + 0.384003i \(0.125455\pi\)
\(60\) −251.287 92.3424i −0.540684 0.198689i
\(61\) −43.7180 31.7630i −0.0917625 0.0666694i 0.540958 0.841050i \(-0.318062\pi\)
−0.632721 + 0.774380i \(0.718062\pi\)
\(62\) 17.4945 12.7105i 0.0358355 0.0260360i
\(63\) 126.036 91.5705i 0.252048 0.183124i
\(64\) 408.568 + 296.842i 0.797985 + 0.579770i
\(65\) −887.012 325.957i −1.69262 0.621999i
\(66\) 13.8086 10.0326i 0.0257534 0.0187109i
\(67\) 139.046 427.938i 0.253539 0.780313i −0.740575 0.671974i \(-0.765447\pi\)
0.994114 0.108339i \(-0.0345533\pi\)
\(68\) 359.998 0.642002
\(69\) 19.4038 59.7188i 0.0338542 0.104193i
\(70\) −0.992327 + 26.1014i −0.00169437 + 0.0445674i
\(71\) −193.462 595.416i −0.323377 0.995252i −0.972168 0.234286i \(-0.924725\pi\)
0.648791 0.760967i \(-0.275275\pi\)
\(72\) 5.99899 + 18.4630i 0.00981928 + 0.0302206i
\(73\) −39.4327 28.6495i −0.0632226 0.0459339i 0.555725 0.831366i \(-0.312441\pi\)
−0.618948 + 0.785432i \(0.712441\pi\)
\(74\) 35.5271 0.0558099
\(75\) −373.918 28.4724i −0.575684 0.0438362i
\(76\) −667.783 −1.00789
\(77\) 590.331 + 428.900i 0.873694 + 0.634776i
\(78\) 10.5758 + 32.5489i 0.0153522 + 0.0472491i
\(79\) −200.110 615.877i −0.284990 0.877108i −0.986402 0.164352i \(-0.947447\pi\)
0.701412 0.712756i \(-0.252553\pi\)
\(80\) 667.045 + 245.124i 0.932223 + 0.342571i
\(81\) 25.0304 77.0356i 0.0343352 0.105673i
\(82\) −55.3557 −0.0745490
\(83\) 206.995 637.066i 0.273743 0.842495i −0.715806 0.698299i \(-0.753940\pi\)
0.989549 0.144196i \(-0.0460595\pi\)
\(84\) −335.331 + 243.632i −0.435566 + 0.316458i
\(85\) 485.154 137.493i 0.619086 0.175449i
\(86\) 31.7417 + 23.0617i 0.0397999 + 0.0289163i
\(87\) −534.110 + 388.054i −0.658191 + 0.478204i
\(88\) −73.5622 + 53.4460i −0.0891108 + 0.0647428i
\(89\) 700.638 + 509.043i 0.834466 + 0.606275i 0.920819 0.389990i \(-0.127521\pi\)
−0.0863533 + 0.996265i \(0.527521\pi\)
\(90\) 7.55943 + 11.2824i 0.00885371 + 0.0132142i
\(91\) −1183.67 + 859.989i −1.36355 + 0.990674i
\(92\) −51.6256 + 158.887i −0.0585038 + 0.180056i
\(93\) 480.659 0.535935
\(94\) 19.2269 59.1743i 0.0210968 0.0649294i
\(95\) −899.943 + 255.045i −0.971918 + 0.275442i
\(96\) −23.9504 73.7119i −0.0254628 0.0783665i
\(97\) −54.7107 168.382i −0.0572683 0.176254i 0.918331 0.395814i \(-0.129538\pi\)
−0.975599 + 0.219561i \(0.929538\pi\)
\(98\) −4.73533 3.44042i −0.00488102 0.00354627i
\(99\) 379.390 0.385153
\(100\) 994.843 + 75.7536i 0.994843 + 0.0757536i
\(101\) 810.637 0.798628 0.399314 0.916814i \(-0.369248\pi\)
0.399314 + 0.916814i \(0.369248\pi\)
\(102\) −14.7743 10.7342i −0.0143419 0.0104200i
\(103\) 421.601 + 1297.56i 0.403317 + 1.24128i 0.922293 + 0.386492i \(0.126313\pi\)
−0.518976 + 0.854789i \(0.673687\pi\)
\(104\) −56.3399 173.396i −0.0531209 0.163489i
\(105\) −358.861 + 456.405i −0.333536 + 0.424195i
\(106\) 5.94087 18.2841i 0.00544367 0.0167539i
\(107\) −1109.53 −1.00245 −0.501227 0.865316i \(-0.667118\pi\)
−0.501227 + 0.865316i \(0.667118\pi\)
\(108\) −66.5957 + 204.960i −0.0593349 + 0.182614i
\(109\) −1022.56 + 742.936i −0.898567 + 0.652847i −0.938098 0.346371i \(-0.887414\pi\)
0.0395305 + 0.999218i \(0.487414\pi\)
\(110\) −39.3172 + 50.0041i −0.0340795 + 0.0433428i
\(111\) 638.866 + 464.163i 0.546293 + 0.396905i
\(112\) 890.138 646.723i 0.750984 0.545622i
\(113\) 925.944 672.737i 0.770845 0.560051i −0.131373 0.991333i \(-0.541938\pi\)
0.902217 + 0.431282i \(0.141938\pi\)
\(114\) 27.4058 + 19.9115i 0.0225157 + 0.0163586i
\(115\) −8.89028 + 233.843i −0.00720889 + 0.189617i
\(116\) 1421.05 1032.45i 1.13742 0.826387i
\(117\) −235.074 + 723.484i −0.185749 + 0.571676i
\(118\) 63.7686 0.0497490
\(119\) 241.255 742.507i 0.185847 0.571979i
\(120\) −40.2711 60.1045i −0.0306352 0.0457231i
\(121\) 137.821 + 424.168i 0.103547 + 0.318684i
\(122\) −2.25379 6.93645i −0.00167253 0.00514751i
\(123\) −995.435 723.226i −0.729719 0.530172i
\(124\) −1278.84 −0.926153
\(125\) 1369.64 277.868i 0.980035 0.198826i
\(126\) 21.0264 0.0148665
\(127\) 1847.74 + 1342.46i 1.29103 + 0.937985i 0.999826 0.0186776i \(-0.00594562\pi\)
0.291200 + 0.956662i \(0.405946\pi\)
\(128\) 84.9307 + 261.390i 0.0586475 + 0.180499i
\(129\) 269.493 + 829.414i 0.183934 + 0.566092i
\(130\) −70.9948 105.960i −0.0478974 0.0714867i
\(131\) −62.7937 + 193.259i −0.0418803 + 0.128894i −0.969811 0.243860i \(-0.921586\pi\)
0.927930 + 0.372754i \(0.121586\pi\)
\(132\) −1009.40 −0.665585
\(133\) −447.520 + 1377.32i −0.291766 + 0.897964i
\(134\) 49.1316 35.6962i 0.0316741 0.0230125i
\(135\) −11.4682 + 301.651i −0.00731131 + 0.192311i
\(136\) 78.7066 + 57.1837i 0.0496252 + 0.0360548i
\(137\) −51.4587 + 37.3869i −0.0320906 + 0.0233152i −0.603715 0.797200i \(-0.706313\pi\)
0.571624 + 0.820515i \(0.306313\pi\)
\(138\) 6.85631 4.98140i 0.00422933 0.00307279i
\(139\) −1297.59 942.758i −0.791802 0.575278i 0.116695 0.993168i \(-0.462770\pi\)
−0.908498 + 0.417890i \(0.862770\pi\)
\(140\) 954.785 1214.31i 0.576386 0.733055i
\(141\) 1118.86 812.902i 0.668265 0.485523i
\(142\) 26.1111 80.3617i 0.0154309 0.0474916i
\(143\) −3563.06 −2.08362
\(144\) 176.779 544.069i 0.102303 0.314855i
\(145\) 1520.77 1934.13i 0.870985 1.10773i
\(146\) −2.03287 6.25653i −0.00115234 0.00354654i
\(147\) −40.2039 123.735i −0.0225575 0.0694250i
\(148\) −1699.76 1234.95i −0.944052 0.685894i
\(149\) −2731.00 −1.50156 −0.750780 0.660552i \(-0.770322\pi\)
−0.750780 + 0.660552i \(0.770322\pi\)
\(150\) −38.5696 32.7725i −0.0209946 0.0178391i
\(151\) −879.795 −0.474150 −0.237075 0.971491i \(-0.576189\pi\)
−0.237075 + 0.971491i \(0.576189\pi\)
\(152\) −145.998 106.074i −0.0779079 0.0566034i
\(153\) −125.437 386.055i −0.0662808 0.203991i
\(154\) 30.4333 + 93.6639i 0.0159246 + 0.0490107i
\(155\) −1723.44 + 488.423i −0.893095 + 0.253104i
\(156\) 625.437 1924.90i 0.320994 0.987917i
\(157\) 366.317 0.186212 0.0931059 0.995656i \(-0.470320\pi\)
0.0931059 + 0.995656i \(0.470320\pi\)
\(158\) 27.0084 83.1232i 0.0135992 0.0418539i
\(159\) 345.715 251.177i 0.172434 0.125281i
\(160\) 160.779 + 239.962i 0.0794416 + 0.118567i
\(161\) 293.113 + 212.959i 0.143482 + 0.104246i
\(162\) 8.84445 6.42587i 0.00428942 0.00311645i
\(163\) −682.163 + 495.620i −0.327798 + 0.238159i −0.739496 0.673161i \(-0.764936\pi\)
0.411697 + 0.911321i \(0.364936\pi\)
\(164\) 2648.45 + 1924.21i 1.26103 + 0.916193i
\(165\) −1360.33 + 385.518i −0.641827 + 0.181894i
\(166\) 73.1416 53.1405i 0.0341981 0.0248464i
\(167\) −689.135 + 2120.94i −0.319323 + 0.982774i 0.654616 + 0.755962i \(0.272830\pi\)
−0.973938 + 0.226813i \(0.927170\pi\)
\(168\) −112.013 −0.0514405
\(169\) 1528.80 4705.16i 0.695858 2.14163i
\(170\) 63.8819 + 23.4751i 0.0288207 + 0.0105909i
\(171\) 232.681 + 716.118i 0.104056 + 0.320251i
\(172\) −717.011 2206.73i −0.317858 0.978267i
\(173\) 2340.93 + 1700.78i 1.02877 + 0.747446i 0.968062 0.250709i \(-0.0806638\pi\)
0.0607090 + 0.998156i \(0.480664\pi\)
\(174\) −89.1048 −0.0388220
\(175\) 822.946 2001.13i 0.355479 0.864407i
\(176\) 2679.47 1.14757
\(177\) 1146.72 + 833.141i 0.486965 + 0.353801i
\(178\) 36.1199 + 111.166i 0.0152096 + 0.0468102i
\(179\) −836.156 2573.42i −0.349146 1.07456i −0.959326 0.282299i \(-0.908903\pi\)
0.610180 0.792263i \(-0.291097\pi\)
\(180\) 30.5123 802.572i 0.0126347 0.332334i
\(181\) −1098.49 + 3380.80i −0.451104 + 1.38836i 0.424544 + 0.905407i \(0.360434\pi\)
−0.875648 + 0.482949i \(0.839566\pi\)
\(182\) −197.471 −0.0804258
\(183\) 50.0964 154.181i 0.0202362 0.0622807i
\(184\) −36.5254 + 26.5372i −0.0146342 + 0.0106323i
\(185\) −2762.36 1015.10i −1.09780 0.403416i
\(186\) 52.4835 + 38.1315i 0.0206897 + 0.0150319i
\(187\) 1538.16 1117.54i 0.601504 0.437018i
\(188\) −2976.84 + 2162.80i −1.15483 + 0.839035i
\(189\) 378.108 + 274.712i 0.145520 + 0.105727i
\(190\) −118.499 43.5456i −0.0452463 0.0166270i
\(191\) −139.503 + 101.355i −0.0528486 + 0.0383967i −0.613896 0.789387i \(-0.710399\pi\)
0.561047 + 0.827784i \(0.310399\pi\)
\(192\) −468.178 + 1440.90i −0.175978 + 0.541605i
\(193\) 1203.86 0.448993 0.224496 0.974475i \(-0.427926\pi\)
0.224496 + 0.974475i \(0.427926\pi\)
\(194\) 7.38415 22.7261i 0.00273274 0.00841050i
\(195\) 107.704 2832.97i 0.0395532 1.04038i
\(196\) 106.966 + 329.208i 0.0389818 + 0.119974i
\(197\) 1296.62 + 3990.60i 0.468937 + 1.44324i 0.853963 + 0.520334i \(0.174192\pi\)
−0.385026 + 0.922906i \(0.625808\pi\)
\(198\) 41.4259 + 30.0977i 0.0148687 + 0.0108028i
\(199\) −2413.09 −0.859594 −0.429797 0.902926i \(-0.641415\pi\)
−0.429797 + 0.902926i \(0.641415\pi\)
\(200\) 205.470 + 174.587i 0.0726447 + 0.0617260i
\(201\) 1349.88 0.473699
\(202\) 88.5141 + 64.3093i 0.0308309 + 0.0223999i
\(203\) −1177.14 3622.87i −0.406991 1.25259i
\(204\) 333.736 + 1027.13i 0.114540 + 0.352519i
\(205\) 4304.11 + 1581.66i 1.46640 + 0.538869i
\(206\) −56.9024 + 175.127i −0.0192455 + 0.0592316i
\(207\) 188.376 0.0632514
\(208\) −1660.23 + 5109.65i −0.553443 + 1.70332i
\(209\) −2853.23 + 2072.99i −0.944316 + 0.686085i
\(210\) −75.3917 + 21.3661i −0.0247739 + 0.00702095i
\(211\) −546.184 396.826i −0.178203 0.129472i 0.495108 0.868831i \(-0.335128\pi\)
−0.673311 + 0.739359i \(0.735128\pi\)
\(212\) −919.808 + 668.280i −0.297984 + 0.216498i
\(213\) 1519.47 1103.96i 0.488792 0.355128i
\(214\) −121.151 88.0211i −0.0386995 0.0281168i
\(215\) −1809.10 2700.08i −0.573858 0.856482i
\(216\) −47.1167 + 34.2323i −0.0148421 + 0.0107834i
\(217\) −857.023 + 2637.64i −0.268104 + 0.825138i
\(218\) −170.593 −0.0530000
\(219\) 45.1859 139.068i 0.0139424 0.0429102i
\(220\) 3619.29 1025.71i 1.10915 0.314333i
\(221\) 1178.05 + 3625.65i 0.358570 + 1.10356i
\(222\) 32.9354 + 101.365i 0.00995711 + 0.0306448i
\(223\) 4643.42 + 3373.64i 1.39438 + 1.01307i 0.995369 + 0.0961277i \(0.0306457\pi\)
0.399009 + 0.916947i \(0.369354\pi\)
\(224\) 447.203 0.133393
\(225\) −265.404 1093.25i −0.0786382 0.323925i
\(226\) 154.474 0.0454666
\(227\) 2143.69 + 1557.48i 0.626790 + 0.455390i 0.855287 0.518155i \(-0.173381\pi\)
−0.228496 + 0.973545i \(0.573381\pi\)
\(228\) −619.069 1905.30i −0.179820 0.553428i
\(229\) −1138.94 3505.30i −0.328661 1.01151i −0.969761 0.244057i \(-0.921521\pi\)
0.641100 0.767458i \(-0.278479\pi\)
\(230\) −19.5219 + 24.8282i −0.00559668 + 0.00711793i
\(231\) −676.459 + 2081.93i −0.192674 + 0.592990i
\(232\) 474.685 0.134330
\(233\) 788.427 2426.53i 0.221680 0.682262i −0.776931 0.629586i \(-0.783225\pi\)
0.998612 0.0526768i \(-0.0167753\pi\)
\(234\) −83.0631 + 60.3489i −0.0232052 + 0.0168595i
\(235\) −3185.73 + 4051.66i −0.884316 + 1.12468i
\(236\) −3050.96 2216.65i −0.841528 0.611406i
\(237\) 1571.69 1141.90i 0.430768 0.312972i
\(238\) 85.2472 61.9357i 0.0232175 0.0168685i
\(239\) 5039.96 + 3661.74i 1.36405 + 0.991039i 0.998176 + 0.0603745i \(0.0192295\pi\)
0.365873 + 0.930665i \(0.380770\pi\)
\(240\) −80.9951 + 2130.43i −0.0217842 + 0.572995i
\(241\) 3304.08 2400.55i 0.883130 0.641631i −0.0509481 0.998701i \(-0.516224\pi\)
0.934078 + 0.357070i \(0.116224\pi\)
\(242\) −18.6013 + 57.2488i −0.00494105 + 0.0152070i
\(243\) 243.000 0.0641500
\(244\) −133.286 + 410.212i −0.0349704 + 0.107628i
\(245\) 269.887 + 402.806i 0.0703774 + 0.105038i
\(246\) −51.3176 157.939i −0.0133004 0.0409343i
\(247\) −2185.23 6725.46i −0.562927 1.73251i
\(248\) −279.593 203.136i −0.0715895 0.0520128i
\(249\) 2009.55 0.511447
\(250\) 171.596 + 78.3154i 0.0434107 + 0.0198124i
\(251\) −1158.16 −0.291245 −0.145622 0.989340i \(-0.546518\pi\)
−0.145622 + 0.989340i \(0.546518\pi\)
\(252\) −1005.99 730.896i −0.251474 0.182707i
\(253\) 272.652 + 839.137i 0.0677529 + 0.208522i
\(254\) 95.2562 + 293.168i 0.0235311 + 0.0724214i
\(255\) 842.053 + 1256.76i 0.206790 + 0.308634i
\(256\) 1237.01 3807.13i 0.302005 0.929475i
\(257\) −4275.75 −1.03780 −0.518899 0.854836i \(-0.673658\pi\)
−0.518899 + 0.854836i \(0.673658\pi\)
\(258\) −36.3727 + 111.944i −0.00877700 + 0.0270128i
\(259\) −3686.23 + 2678.21i −0.884369 + 0.642531i
\(260\) −286.558 + 7537.39i −0.0683521 + 1.79788i
\(261\) −1602.33 1164.16i −0.380007 0.276091i
\(262\) −22.1881 + 16.1206i −0.00523200 + 0.00380127i
\(263\) 216.683 157.430i 0.0508033 0.0369108i −0.562094 0.827073i \(-0.690004\pi\)
0.612897 + 0.790163i \(0.290004\pi\)
\(264\) −220.687 160.338i −0.0514482 0.0373793i
\(265\) −984.352 + 1251.91i −0.228182 + 0.290205i
\(266\) −158.131 + 114.889i −0.0364497 + 0.0264822i
\(267\) −802.860 + 2470.95i −0.184023 + 0.566365i
\(268\) −3591.49 −0.818602
\(269\) 1922.62 5917.22i 0.435778 1.34119i −0.456510 0.889718i \(-0.650901\pi\)
0.892287 0.451468i \(-0.149099\pi\)
\(270\) −25.1827 + 32.0277i −0.00567620 + 0.00721906i
\(271\) −459.156 1413.14i −0.102922 0.316760i 0.886315 0.463082i \(-0.153256\pi\)
−0.989237 + 0.146322i \(0.953256\pi\)
\(272\) −885.906 2726.54i −0.197485 0.607796i
\(273\) −3551.02 2579.97i −0.787244 0.571966i
\(274\) −8.58479 −0.00189280
\(275\) 4485.81 2764.61i 0.983653 0.606226i
\(276\) −501.192 −0.109305
\(277\) −910.148 661.262i −0.197421 0.143434i 0.484683 0.874690i \(-0.338935\pi\)
−0.682104 + 0.731255i \(0.738935\pi\)
\(278\) −66.8947 205.881i −0.0144319 0.0444170i
\(279\) 445.595 + 1371.40i 0.0956168 + 0.294278i
\(280\) 401.631 113.823i 0.0857217 0.0242936i
\(281\) 1122.23 3453.87i 0.238244 0.733240i −0.758430 0.651754i \(-0.774033\pi\)
0.996674 0.0814859i \(-0.0259665\pi\)
\(282\) 186.659 0.0394162
\(283\) 1626.27 5005.15i 0.341596 1.05133i −0.621784 0.783188i \(-0.713592\pi\)
0.963381 0.268137i \(-0.0864080\pi\)
\(284\) −4042.70 + 2937.20i −0.844684 + 0.613699i
\(285\) −1561.98 2331.25i −0.324644 0.484531i
\(286\) −389.053 282.664i −0.0804378 0.0584415i
\(287\) 5743.63 4172.99i 1.18131 0.858271i
\(288\) 188.109 136.669i 0.0384876 0.0279629i
\(289\) 2328.98 + 1692.10i 0.474043 + 0.344413i
\(290\) 319.492 90.5442i 0.0646938 0.0183343i
\(291\) 429.703 312.198i 0.0865624 0.0628912i
\(292\) −120.221 + 370.003i −0.0240939 + 0.0741534i
\(293\) 3619.55 0.721693 0.360847 0.932625i \(-0.382488\pi\)
0.360847 + 0.932625i \(0.382488\pi\)
\(294\) 5.42620 16.7001i 0.00107640 0.00331283i
\(295\) −4958.25 1822.04i −0.978578 0.359605i
\(296\) −175.455 539.996i −0.0344532 0.106036i
\(297\) 351.714 + 1082.46i 0.0687155 + 0.211485i
\(298\) −298.200 216.655i −0.0579674 0.0421158i
\(299\) −1769.14 −0.342181
\(300\) 706.132 + 2908.68i 0.135895 + 0.559776i
\(301\) −5031.97 −0.963581
\(302\) −96.0655 69.7956i −0.0183045 0.0132990i
\(303\) 751.502 + 2312.89i 0.142484 + 0.438521i
\(304\) 1643.32 + 5057.63i 0.310037 + 0.954195i
\(305\) −22.9527 + 603.732i −0.00430908 + 0.113343i
\(306\) 16.9298 52.1047i 0.00316279 0.00973408i
\(307\) −1819.08 −0.338176 −0.169088 0.985601i \(-0.554082\pi\)
−0.169088 + 0.985601i \(0.554082\pi\)
\(308\) 1799.78 5539.16i 0.332962 1.02475i
\(309\) −3311.30 + 2405.80i −0.609622 + 0.442916i
\(310\) −226.931 83.3919i −0.0415768 0.0152785i
\(311\) −276.570 200.940i −0.0504272 0.0366375i 0.562286 0.826943i \(-0.309922\pi\)
−0.612713 + 0.790305i \(0.709922\pi\)
\(312\) 442.499 321.494i 0.0802935 0.0583366i
\(313\) 3165.92 2300.18i 0.571721 0.415379i −0.264009 0.964520i \(-0.585045\pi\)
0.835730 + 0.549141i \(0.185045\pi\)
\(314\) 39.9984 + 29.0606i 0.00718867 + 0.00522287i
\(315\) −1634.88 600.782i −0.292429 0.107461i
\(316\) −4181.62 + 3038.13i −0.744414 + 0.540848i
\(317\) 2032.49 6255.35i 0.360113 1.10831i −0.592872 0.805296i \(-0.702006\pi\)
0.952985 0.303017i \(-0.0979939\pi\)
\(318\) 57.6752 0.0101706
\(319\) 2866.67 8822.70i 0.503143 1.54851i
\(320\) 214.506 5642.20i 0.0374726 0.985652i
\(321\) −1028.59 3165.68i −0.178849 0.550440i
\(322\) 15.1108 + 46.5064i 0.00261520 + 0.00804875i
\(323\) 3052.76 + 2217.96i 0.525883 + 0.382076i
\(324\) −646.524 −0.110858
\(325\) 2492.55 + 10267.3i 0.425422 + 1.75239i
\(326\) −113.804 −0.0193345
\(327\) −3067.69 2228.81i −0.518788 0.376922i
\(328\) 273.382 + 841.384i 0.0460213 + 0.141639i
\(329\) 2465.90 + 7589.25i 0.413220 + 1.27176i
\(330\) −179.119 65.8223i −0.0298794 0.0109800i
\(331\) −2960.46 + 9111.36i −0.491606 + 1.51301i 0.330573 + 0.943780i \(0.392758\pi\)
−0.822179 + 0.569228i \(0.807242\pi\)
\(332\) −5346.61 −0.883835
\(333\) −732.075 + 2253.10i −0.120473 + 0.370777i
\(334\) −243.505 + 176.917i −0.0398922 + 0.0289834i
\(335\) −4840.10 + 1371.69i −0.789382 + 0.223712i
\(336\) 2670.41 + 1940.17i 0.433581 + 0.315015i
\(337\) 1448.85 1052.65i 0.234196 0.170153i −0.464498 0.885574i \(-0.653765\pi\)
0.698694 + 0.715421i \(0.253765\pi\)
\(338\) 540.200 392.478i 0.0869319 0.0631597i
\(339\) 2777.83 + 2018.21i 0.445047 + 0.323346i
\(340\) −2240.36 3343.74i −0.357355 0.533352i
\(341\) −5464.07 + 3969.88i −0.867731 + 0.630443i
\(342\) −31.4043 + 96.6524i −0.00496535 + 0.0152818i
\(343\) 6687.98 1.05282
\(344\) 193.767 596.353i 0.0303698 0.0934686i
\(345\) −675.436 + 191.419i −0.105404 + 0.0298715i
\(346\) 120.682 + 371.420i 0.0187511 + 0.0577100i
\(347\) −2806.06 8636.18i −0.434114 1.33606i −0.893992 0.448083i \(-0.852107\pi\)
0.459879 0.887982i \(-0.347893\pi\)
\(348\) 4263.15 + 3097.36i 0.656692 + 0.477115i
\(349\) 1036.94 0.159043 0.0795216 0.996833i \(-0.474661\pi\)
0.0795216 + 0.996833i \(0.474661\pi\)
\(350\) 248.611 153.219i 0.0379681 0.0233997i
\(351\) −2282.15 −0.347043
\(352\) 881.071 + 640.135i 0.133413 + 0.0969299i
\(353\) 1022.00 + 3145.41i 0.154096 + 0.474258i 0.998068 0.0621285i \(-0.0197889\pi\)
−0.843972 + 0.536387i \(0.819789\pi\)
\(354\) 59.1168 + 181.943i 0.00887576 + 0.0273168i
\(355\) −4326.39 + 5502.36i −0.646819 + 0.822633i
\(356\) 2136.08 6574.19i 0.318012 0.978740i
\(357\) 2342.15 0.347227
\(358\) 112.854 347.328i 0.0166606 0.0512761i
\(359\) 10087.2 7328.80i 1.48296 1.07743i 0.506375 0.862314i \(-0.330985\pi\)
0.976587 0.215121i \(-0.0690147\pi\)
\(360\) 134.155 170.620i 0.0196405 0.0249791i
\(361\) −113.721 82.6235i −0.0165799 0.0120460i
\(362\) −388.149 + 282.007i −0.0563554 + 0.0409446i
\(363\) −1082.46 + 786.451i −0.156513 + 0.113713i
\(364\) 9447.83 + 6864.25i 1.36044 + 0.988419i
\(365\) −20.7029 + 544.553i −0.00296887 + 0.0780910i
\(366\) 17.7015 12.8609i 0.00252806 0.00183675i
\(367\) −1531.52 + 4713.54i −0.217833 + 0.670421i 0.781107 + 0.624397i \(0.214655\pi\)
−0.998940 + 0.0460243i \(0.985345\pi\)
\(368\) 1330.42 0.188459
\(369\) 1140.67 3510.61i 0.160924 0.495272i
\(370\) −221.094 329.983i −0.0310653 0.0463649i
\(371\) 761.933 + 2344.99i 0.106624 + 0.328155i
\(372\) −1185.55 3648.74i −0.165236 0.508544i
\(373\) −2349.06 1706.69i −0.326085 0.236915i 0.412683 0.910875i \(-0.364592\pi\)
−0.738768 + 0.673960i \(0.764592\pi\)
\(374\) 256.609 0.0354784
\(375\) 2062.53 + 3650.22i 0.284023 + 0.502657i
\(376\) −994.379 −0.136386
\(377\) 15048.4 + 10933.3i 2.05578 + 1.49361i
\(378\) 19.4926 + 59.9919i 0.00265235 + 0.00816310i
\(379\) 1478.37 + 4549.97i 0.200367 + 0.616665i 0.999872 + 0.0160061i \(0.00509511\pi\)
−0.799505 + 0.600659i \(0.794905\pi\)
\(380\) 4155.79 + 6202.52i 0.561020 + 0.837322i
\(381\) −2117.32 + 6516.44i −0.284707 + 0.876239i
\(382\) −23.2731 −0.00311716
\(383\) 475.165 1462.41i 0.0633937 0.195106i −0.914343 0.404940i \(-0.867292\pi\)
0.977737 + 0.209834i \(0.0672924\pi\)
\(384\) −667.054 + 484.643i −0.0886471 + 0.0644059i
\(385\) 309.935 8152.28i 0.0410279 1.07917i
\(386\) 131.450 + 95.5042i 0.0173333 + 0.0125934i
\(387\) −2116.62 + 1537.82i −0.278021 + 0.201994i
\(388\) −1143.27 + 830.631i −0.149589 + 0.108683i
\(389\) 2596.01 + 1886.11i 0.338362 + 0.245835i 0.743971 0.668212i \(-0.232940\pi\)
−0.405608 + 0.914047i \(0.632940\pi\)
\(390\) 236.505 300.790i 0.0307074 0.0390541i
\(391\) 763.731 554.883i 0.0987815 0.0717689i
\(392\) −28.9068 + 88.9660i −0.00372453 + 0.0114629i
\(393\) −609.614 −0.0782468
\(394\) −175.002 + 538.600i −0.0223768 + 0.0688687i
\(395\) −4475.05 + 5691.43i −0.570037 + 0.724980i
\(396\) −935.768 2880.00i −0.118748 0.365468i
\(397\) 1924.29 + 5922.35i 0.243268 + 0.748701i 0.995917 + 0.0902790i \(0.0287759\pi\)
−0.752649 + 0.658422i \(0.771224\pi\)
\(398\) −263.487 191.434i −0.0331844 0.0241099i
\(399\) −4344.62 −0.545120
\(400\) −1874.43 7721.12i −0.234304 0.965141i
\(401\) −3174.14 −0.395284 −0.197642 0.980274i \(-0.563328\pi\)
−0.197642 + 0.980274i \(0.563328\pi\)
\(402\) 147.395 + 107.089i 0.0182870 + 0.0132863i
\(403\) −4184.83 12879.6i −0.517273 1.59200i
\(404\) −1999.44 6153.65i −0.246228 0.757811i
\(405\) −871.294 + 246.925i −0.106901 + 0.0302958i
\(406\) 158.875 488.968i 0.0194208 0.0597712i
\(407\) −11096.2 −1.35140
\(408\) −90.1897 + 277.575i −0.0109438 + 0.0336814i
\(409\) −8167.81 + 5934.26i −0.987463 + 0.717434i −0.959364 0.282172i \(-0.908945\pi\)
−0.0280987 + 0.999605i \(0.508945\pi\)
\(410\) 344.493 + 514.156i 0.0414959 + 0.0619326i
\(411\) −154.376 112.161i −0.0185275 0.0134610i
\(412\) 8810.03 6400.86i 1.05349 0.765407i
\(413\) −6616.54 + 4807.20i −0.788326 + 0.572752i
\(414\) 20.5689 + 14.9442i 0.00244181 + 0.00177408i
\(415\) −7205.40 + 2042.01i −0.852287 + 0.241539i
\(416\) −1766.64 + 1283.54i −0.208213 + 0.151275i
\(417\) 1486.91 4576.24i 0.174615 0.537409i
\(418\) −476.000 −0.0556984
\(419\) −1340.31 + 4125.05i −0.156273 + 0.480959i −0.998288 0.0584955i \(-0.981370\pi\)
0.842014 + 0.539455i \(0.181370\pi\)
\(420\) 4349.76 + 1598.44i 0.505349 + 0.185704i
\(421\) −5076.40 15623.5i −0.587668 1.80866i −0.588280 0.808657i \(-0.700195\pi\)
0.000611374 1.00000i \(-0.499805\pi\)
\(422\) −28.1574 86.6594i −0.00324805 0.00999648i
\(423\) 3356.59 + 2438.71i 0.385823 + 0.280317i
\(424\) −307.251 −0.0351920
\(425\) −4296.31 3650.56i −0.490356 0.416654i
\(426\) 253.492 0.0288303
\(427\) 756.754 + 549.814i 0.0857655 + 0.0623123i
\(428\) 2736.67 + 8422.60i 0.309070 + 0.951219i
\(429\) −3303.14 10166.0i −0.371741 1.14410i
\(430\) 16.6650 438.342i 0.00186897 0.0491599i
\(431\) 431.231 1327.19i 0.0481941 0.148326i −0.924063 0.382239i \(-0.875153\pi\)
0.972258 + 0.233913i \(0.0751531\pi\)
\(432\) 1716.20 0.191136
\(433\) −588.938 + 1812.56i −0.0653638 + 0.201169i −0.978405 0.206699i \(-0.933728\pi\)
0.913041 + 0.407868i \(0.133728\pi\)
\(434\) −302.828 + 220.017i −0.0334936 + 0.0243345i
\(435\) 6928.23 + 2545.97i 0.763640 + 0.280620i
\(436\) 8161.88 + 5929.95i 0.896521 + 0.651361i
\(437\) −1416.70 + 1029.29i −0.155079 + 0.112672i
\(438\) 15.9664 11.6002i 0.00174179 0.00126548i
\(439\) 6450.52 + 4686.58i 0.701290 + 0.509517i 0.880352 0.474321i \(-0.157306\pi\)
−0.179062 + 0.983838i \(0.557306\pi\)
\(440\) 954.215 + 350.652i 0.103387 + 0.0379925i
\(441\) 315.765 229.417i 0.0340962 0.0247724i
\(442\) −158.998 + 489.344i −0.0171103 + 0.0526600i
\(443\) 2866.93 0.307476 0.153738 0.988112i \(-0.450869\pi\)
0.153738 + 0.988112i \(0.450869\pi\)
\(444\) 1947.76 5994.58i 0.208190 0.640743i
\(445\) 367.848 9675.59i 0.0391857 1.03071i
\(446\) 239.382 + 736.741i 0.0254149 + 0.0782190i
\(447\) −2531.78 7792.02i −0.267895 0.824496i
\(448\) −7072.28 5138.31i −0.745834 0.541880i
\(449\) −10711.2 −1.12582 −0.562908 0.826520i \(-0.690317\pi\)
−0.562908 + 0.826520i \(0.690317\pi\)
\(450\) 57.7494 140.427i 0.00604963 0.0147107i
\(451\) 17289.3 1.80515
\(452\) −7390.68 5369.64i −0.769089 0.558776i
\(453\) −815.615 2510.20i −0.0845936 0.260352i
\(454\) 110.513 + 340.125i 0.0114243 + 0.0351604i
\(455\) 15354.1 + 5642.28i 1.58200 + 0.581349i
\(456\) 167.299 514.893i 0.0171809 0.0528773i
\(457\) −5306.67 −0.543185 −0.271593 0.962412i \(-0.587550\pi\)
−0.271593 + 0.962412i \(0.587550\pi\)
\(458\) 153.720 473.101i 0.0156831 0.0482676i
\(459\) 985.193 715.784i 0.100185 0.0727886i
\(460\) 1797.06 509.288i 0.182149 0.0516211i
\(461\) 6705.63 + 4871.92i 0.677467 + 0.492208i 0.872516 0.488585i \(-0.162487\pi\)
−0.195050 + 0.980793i \(0.562487\pi\)
\(462\) −239.026 + 173.662i −0.0240703 + 0.0174881i
\(463\) −940.467 + 683.290i −0.0944001 + 0.0685857i −0.633984 0.773346i \(-0.718582\pi\)
0.539584 + 0.841932i \(0.318582\pi\)
\(464\) −11316.6 8221.97i −1.13224 0.822619i
\(465\) −2991.27 4464.46i −0.298315 0.445235i
\(466\) 278.590 202.407i 0.0276940 0.0201209i
\(467\) 2344.11 7214.44i 0.232275 0.714870i −0.765196 0.643798i \(-0.777358\pi\)
0.997471 0.0710724i \(-0.0226421\pi\)
\(468\) 6071.87 0.599727
\(469\) −2406.87 + 7407.57i −0.236970 + 0.729317i
\(470\) −669.278 + 189.674i −0.0656840 + 0.0186149i
\(471\) 339.594 + 1045.16i 0.0332223 + 0.102248i
\(472\) −314.930 969.256i −0.0307115 0.0945204i
\(473\) −9913.90 7202.87i −0.963725 0.700187i
\(474\) 262.203 0.0254079
\(475\) 7969.50 + 6771.66i 0.769822 + 0.654116i
\(476\) −6231.52 −0.600045
\(477\) 1037.15 + 753.531i 0.0995548 + 0.0723308i
\(478\) 259.824 + 799.657i 0.0248621 + 0.0765177i
\(479\) −2298.06 7072.70i −0.219209 0.674655i −0.998828 0.0484014i \(-0.984587\pi\)
0.779619 0.626254i \(-0.215413\pi\)
\(480\) −535.602 + 681.185i −0.0509308 + 0.0647744i
\(481\) 6875.32 21160.1i 0.651742 2.00585i
\(482\) 551.214 0.0520895
\(483\) −335.878 + 1033.73i −0.0316418 + 0.0973833i
\(484\) 2879.98 2092.43i 0.270471 0.196509i
\(485\) −1223.49 + 1556.05i −0.114548 + 0.145684i
\(486\) 26.5334 + 19.2776i 0.00247650 + 0.00179928i
\(487\) −17128.3 + 12444.4i −1.59375 + 1.15793i −0.695420 + 0.718603i \(0.744782\pi\)
−0.898329 + 0.439324i \(0.855218\pi\)
\(488\) −94.3005 + 68.5133i −0.00874750 + 0.00635543i
\(489\) −2046.49 1486.86i −0.189254 0.137501i
\(490\) −2.48613 + 65.3934i −0.000229208 + 0.00602892i
\(491\) −7620.36 + 5536.52i −0.700412 + 0.508879i −0.880066 0.474851i \(-0.842502\pi\)
0.179655 + 0.983730i \(0.442502\pi\)
\(492\) −3034.85 + 9340.32i −0.278093 + 0.855882i
\(493\) −9925.48 −0.906737
\(494\) 294.935 907.716i 0.0268618 0.0826722i
\(495\) −2361.04 3523.86i −0.214386 0.319971i
\(496\) 3147.05 + 9685.61i 0.284892 + 0.876808i
\(497\) 3348.82 + 10306.6i 0.302243 + 0.930209i
\(498\) 219.425 + 159.421i 0.0197443 + 0.0143451i
\(499\) 3295.44 0.295640 0.147820 0.989014i \(-0.452774\pi\)
0.147820 + 0.989014i \(0.452774\pi\)
\(500\) −5487.56 9711.75i −0.490822 0.868645i
\(501\) −6690.27 −0.596605
\(502\) −126.460 91.8789i −0.0112434 0.00816883i
\(503\) 1734.00 + 5336.71i 0.153709 + 0.473066i 0.998028 0.0627743i \(-0.0199948\pi\)
−0.844319 + 0.535841i \(0.819995\pi\)
\(504\) −103.842 319.593i −0.00917756 0.0282456i
\(505\) −5044.81 7529.38i −0.444537 0.663471i
\(506\) −36.7991 + 113.256i −0.00323304 + 0.00995028i
\(507\) 14841.9 1.30010
\(508\) 5633.33 17337.6i 0.492005 1.51424i
\(509\) −16627.4 + 12080.5i −1.44793 + 1.05198i −0.461624 + 0.887076i \(0.652733\pi\)
−0.986309 + 0.164909i \(0.947267\pi\)
\(510\) −7.75678 + 204.028i −0.000673482 + 0.0177148i
\(511\) 682.576 + 495.921i 0.0590908 + 0.0429320i
\(512\) 2215.91 1609.95i 0.191270 0.138966i
\(513\) −1827.50 + 1327.76i −0.157283 + 0.114273i
\(514\) −466.873 339.203i −0.0400639 0.0291082i
\(515\) 9428.24 11991.0i 0.806714 1.02599i
\(516\) 5631.48 4091.51i 0.480450 0.349067i
\(517\) −6005.15 + 18482.0i −0.510844 + 1.57222i
\(518\) −614.970 −0.0521626
\(519\) −2682.46 + 8255.78i −0.226873 + 0.698244i
\(520\) −1259.92 + 1602.39i −0.106253 + 0.135133i
\(521\) 167.182 + 514.532i 0.0140583 + 0.0432669i 0.957840 0.287304i \(-0.0927589\pi\)
−0.943781 + 0.330571i \(0.892759\pi\)
\(522\) −82.6047 254.231i −0.00692627 0.0213169i
\(523\) −1819.27 1321.77i −0.152105 0.110511i 0.509130 0.860690i \(-0.329967\pi\)
−0.661235 + 0.750179i \(0.729967\pi\)
\(524\) 1621.94 0.135219
\(525\) 6472.47 + 492.855i 0.538061 + 0.0409714i
\(526\) 36.1490 0.00299652
\(527\) 5846.19 + 4247.51i 0.483233 + 0.351090i
\(528\) 2484.00 + 7644.98i 0.204739 + 0.630123i
\(529\) −3624.43 11154.9i −0.297890 0.916812i
\(530\) −206.799 + 58.6069i −0.0169486 + 0.00480325i
\(531\) −1314.02 + 4044.15i −0.107390 + 0.330511i
\(532\) 11559.3 0.942025
\(533\) −10712.6 + 32970.1i −0.870574 + 2.67935i
\(534\) −283.689 + 206.112i −0.0229896 + 0.0167029i
\(535\) 6904.91 + 10305.6i 0.557991 + 0.832801i
\(536\) −785.211 570.489i −0.0632760 0.0459727i
\(537\) 6567.25 4771.39i 0.527743 0.383428i
\(538\) 679.356 493.581i 0.0544407 0.0395535i
\(539\) 1478.99 + 1074.55i 0.118190 + 0.0858703i
\(540\) 2318.16 656.968i 0.184736 0.0523545i
\(541\) 15099.0 10970.0i 1.19992 0.871791i 0.205641 0.978628i \(-0.434072\pi\)
0.994277 + 0.106837i \(0.0340722\pi\)
\(542\) 61.9711 190.727i 0.00491123 0.0151152i
\(543\) −10664.3 −0.842819
\(544\) 360.074 1108.19i 0.0283788 0.0873409i
\(545\) 13264.2 + 4874.30i 1.04253 + 0.383105i
\(546\) −183.065 563.417i −0.0143489 0.0441612i
\(547\) 3358.29 + 10335.8i 0.262505 + 0.807907i 0.992258 + 0.124196i \(0.0396352\pi\)
−0.729753 + 0.683711i \(0.760365\pi\)
\(548\) 410.732 + 298.414i 0.0320175 + 0.0232621i
\(549\) 486.346 0.0378082
\(550\) 709.131 + 53.9977i 0.0549771 + 0.00418631i
\(551\) 18411.4 1.42351
\(552\) −109.576 79.6117i −0.00844903 0.00613858i
\(553\) 3463.89 + 10660.8i 0.266365 + 0.819786i
\(554\) −46.9208 144.407i −0.00359833 0.0110745i
\(555\) 335.416 8822.54i 0.0256534 0.674767i
\(556\) −3956.07 + 12175.5i −0.301753 + 0.928700i
\(557\) −2740.22 −0.208450 −0.104225 0.994554i \(-0.533236\pi\)
−0.104225 + 0.994554i \(0.533236\pi\)
\(558\) −60.1407 + 185.094i −0.00456265 + 0.0140424i
\(559\) 19878.4 14442.5i 1.50405 1.09276i
\(560\) −11546.5 4243.07i −0.871299 0.320183i
\(561\) 4614.47 + 3352.61i 0.347278 + 0.252312i
\(562\) 396.538 288.102i 0.0297633 0.0216243i
\(563\) 15525.7 11280.1i 1.16222 0.844405i 0.172166 0.985068i \(-0.444923\pi\)
0.990058 + 0.140663i \(0.0449233\pi\)
\(564\) −8930.53 6488.41i −0.666743 0.484417i
\(565\) −12010.9 4413.74i −0.894342 0.328650i
\(566\) 574.641 417.501i 0.0426748 0.0310051i
\(567\) −433.273 + 1333.48i −0.0320913 + 0.0987669i
\(568\) −1350.42 −0.0997575
\(569\) 6247.53 19227.9i 0.460299 1.41665i −0.404501 0.914538i \(-0.632555\pi\)
0.864800 0.502117i \(-0.167445\pi\)
\(570\) 14.3886 378.466i 0.00105732 0.0278108i
\(571\) 1585.15 + 4878.60i 0.116176 + 0.357554i 0.992191 0.124731i \(-0.0398069\pi\)
−0.876014 + 0.482285i \(0.839807\pi\)
\(572\) 8788.31 + 27047.6i 0.642409 + 1.97713i
\(573\) −418.509 304.064i −0.0305121 0.0221684i
\(574\) 958.202 0.0696769
\(575\) 2227.31 1372.69i 0.161540 0.0995570i
\(576\) −4545.16 −0.328788
\(577\) −11377.6 8266.33i −0.820896 0.596416i 0.0960729 0.995374i \(-0.469372\pi\)
−0.916969 + 0.398958i \(0.869372\pi\)
\(578\) 120.065 + 369.523i 0.00864025 + 0.0265919i
\(579\) 1116.04 + 3434.81i 0.0801053 + 0.246539i
\(580\) −18433.2 6773.79i −1.31965 0.484942i
\(581\) −3583.07 + 11027.6i −0.255853 + 0.787435i
\(582\) 71.6868 0.00510569
\(583\) −1855.52 + 5710.70i −0.131814 + 0.405683i
\(584\) −85.0570 + 61.7975i −0.00602686 + 0.00437877i
\(585\) 8182.80 2319.01i 0.578320 0.163896i
\(586\) 395.221 + 287.145i 0.0278608 + 0.0202421i
\(587\) 2473.25 1796.92i 0.173905 0.126349i −0.497428 0.867505i \(-0.665722\pi\)
0.671333 + 0.741156i \(0.265722\pi\)
\(588\) −840.123 + 610.385i −0.0589219 + 0.0428093i
\(589\) −10844.5 7878.98i −0.758640 0.551184i
\(590\) −396.849 592.297i −0.0276916 0.0413296i
\(591\) −10183.8 + 7398.97i −0.708809 + 0.514980i
\(592\) −5170.33 + 15912.7i −0.358952 + 1.10474i
\(593\) −13287.5 −0.920153 −0.460077 0.887879i \(-0.652178\pi\)
−0.460077 + 0.887879i \(0.652178\pi\)
\(594\) −47.4698 + 146.097i −0.00327897 + 0.0100916i
\(595\) −8397.96 + 2379.99i −0.578627 + 0.163983i
\(596\) 6736.04 + 20731.4i 0.462951 + 1.42482i
\(597\) −2237.05 6884.94i −0.153361 0.471997i
\(598\) −193.174 140.349i −0.0132098 0.00959750i
\(599\) 12749.7 0.869682 0.434841 0.900507i \(-0.356805\pi\)
0.434841 + 0.900507i \(0.356805\pi\)
\(600\) −307.646 + 748.093i −0.0209327 + 0.0509013i
\(601\) 21184.3 1.43782 0.718908 0.695106i \(-0.244642\pi\)
0.718908 + 0.695106i \(0.244642\pi\)
\(602\) −549.445 399.195i −0.0371988 0.0270265i
\(603\) 1251.41 + 3851.45i 0.0845131 + 0.260104i
\(604\) 2170.02 + 6678.63i 0.146187 + 0.449917i
\(605\) 3082.07 3919.82i 0.207114 0.263410i
\(606\) −101.428 + 312.164i −0.00679907 + 0.0209254i
\(607\) 2387.17 0.159625 0.0798124 0.996810i \(-0.474568\pi\)
0.0798124 + 0.996810i \(0.474568\pi\)
\(608\) −667.925 + 2055.66i −0.0445525 + 0.137119i
\(609\) 9245.39 6717.17i 0.615176 0.446951i
\(610\) −50.4013 + 64.1010i −0.00334539 + 0.00425471i
\(611\) −31523.6 22903.2i −2.08725 1.51647i
\(612\) −2621.20 + 1904.41i −0.173130 + 0.125786i
\(613\) 7662.08 5566.83i 0.504843 0.366790i −0.306021 0.952025i \(-0.598998\pi\)
0.810864 + 0.585235i \(0.198998\pi\)
\(614\) −198.626 144.310i −0.0130552 0.00948517i
\(615\) −522.622 + 13746.6i −0.0342669 + 0.901331i
\(616\) 1273.35 925.145i 0.0832871 0.0605116i
\(617\) 8487.35 26121.4i 0.553789 1.70439i −0.145332 0.989383i \(-0.546425\pi\)
0.699121 0.715004i \(-0.253575\pi\)
\(618\) −552.420 −0.0359572
\(619\) −5942.74 + 18289.9i −0.385879 + 1.18761i 0.549962 + 0.835190i \(0.314642\pi\)
−0.935841 + 0.352423i \(0.885358\pi\)
\(620\) 7958.55 + 11878.1i 0.515521 + 0.769414i
\(621\) 174.634 + 537.469i 0.0112847 + 0.0347309i
\(622\) −14.2580 43.8816i −0.000919122 0.00282877i
\(623\) −12128.0 8811.49i −0.779931 0.566653i
\(624\) −16117.8 −1.03402
\(625\) −11104.5 10992.3i −0.710690 0.703505i
\(626\) 528.167 0.0337217
\(627\) −8559.69 6218.98i −0.545201 0.396112i
\(628\) −903.523 2780.76i −0.0574116 0.176695i
\(629\) 3668.71 + 11291.1i 0.232561 + 0.715749i
\(630\) −130.853 195.298i −0.00827509 0.0123506i
\(631\) −276.428 + 850.759i −0.0174397 + 0.0536738i −0.959398 0.282057i \(-0.908983\pi\)
0.941958 + 0.335731i \(0.108983\pi\)
\(632\) −1396.82 −0.0879155
\(633\) 625.871 1926.23i 0.0392988 0.120949i
\(634\) 718.176 521.786i 0.0449881 0.0326857i
\(635\) 970.096 25516.7i 0.0606253 1.59464i
\(636\) −2759.42 2004.84i −0.172041 0.124995i
\(637\) −2965.53 + 2154.58i −0.184456 + 0.134015i
\(638\) 1012.93 735.939i 0.0628565 0.0456679i
\(639\) 4558.42 + 3311.89i 0.282204 + 0.205033i
\(640\) 1899.30 2415.55i 0.117307 0.149192i
\(641\) 7235.76 5257.09i 0.445858 0.323935i −0.342100 0.939664i \(-0.611138\pi\)
0.787958 + 0.615728i \(0.211138\pi\)
\(642\) 138.826 427.263i 0.00853432 0.0262659i
\(643\) −4002.17 −0.245459 −0.122730 0.992440i \(-0.539165\pi\)
−0.122730 + 0.992440i \(0.539165\pi\)
\(644\) 893.635 2750.32i 0.0546803 0.168289i
\(645\) 6026.65 7664.77i 0.367906 0.467907i
\(646\) 157.379 + 484.362i 0.00958511 + 0.0294999i
\(647\) −4114.75 12663.9i −0.250027 0.769504i −0.994769 0.102151i \(-0.967427\pi\)
0.744742 0.667353i \(-0.232573\pi\)
\(648\) −141.350 102.697i −0.00856907 0.00622579i
\(649\) −19916.9 −1.20463
\(650\) −542.357 + 1318.83i −0.0327277 + 0.0795827i
\(651\) −8320.15 −0.500910
\(652\) 5444.88 + 3955.94i 0.327052 + 0.237617i
\(653\) −7105.73 21869.2i −0.425833 1.31058i −0.902195 0.431329i \(-0.858045\pi\)
0.476362 0.879249i \(-0.341955\pi\)
\(654\) −158.148 486.730i −0.00945579 0.0291019i
\(655\) 2185.82 619.462i 0.130392 0.0369533i
\(656\) 8056.05 24794.0i 0.479475 1.47567i
\(657\) 438.674 0.0260491
\(658\) −332.815 + 1024.30i −0.0197181 + 0.0606860i
\(659\) 3238.14 2352.65i 0.191412 0.139069i −0.487952 0.872870i \(-0.662256\pi\)
0.679364 + 0.733802i \(0.262256\pi\)
\(660\) 6281.78 + 9375.55i 0.370482 + 0.552944i
\(661\) 11026.5 + 8011.25i 0.648839 + 0.471409i 0.862876 0.505416i \(-0.168661\pi\)
−0.214036 + 0.976826i \(0.568661\pi\)
\(662\) −1046.08 + 760.018i −0.0614152 + 0.0446208i
\(663\) −9252.49 + 6722.33i −0.541986 + 0.393776i
\(664\) −1168.93 849.279i −0.0683183 0.0496362i
\(665\) 15577.9 4414.80i 0.908400 0.257441i
\(666\) −258.678 + 187.940i −0.0150504 + 0.0109348i
\(667\) 1423.37 4380.68i 0.0826282 0.254304i
\(668\) 17800.1 1.03100
\(669\) −5320.88 + 16376.0i −0.307500 + 0.946386i
\(670\) −637.313 234.198i −0.0367486 0.0135043i
\(671\) 703.928 + 2166.47i 0.0404990 + 0.124643i
\(672\) 414.580 + 1275.94i 0.0237987 + 0.0732450i
\(673\) 20400.2 + 14821.6i 1.16846 + 0.848933i 0.990823 0.135163i \(-0.0431559\pi\)
0.177633 + 0.984097i \(0.443156\pi\)
\(674\) 241.710 0.0138135
\(675\) 2873.17 1770.74i 0.163835 0.100971i
\(676\) −39488.3 −2.24672
\(677\) −428.651 311.433i −0.0243344 0.0176800i 0.575552 0.817765i \(-0.304787\pi\)
−0.599886 + 0.800086i \(0.704787\pi\)
\(678\) 143.205 + 440.740i 0.00811174 + 0.0249654i
\(679\) 947.036 + 2914.68i 0.0535256 + 0.164735i
\(680\) 41.3224 1086.91i 0.00233036 0.0612959i
\(681\) −2456.45 + 7560.16i −0.138225 + 0.425413i
\(682\) −911.564 −0.0511812
\(683\) −775.606 + 2387.07i −0.0434520 + 0.133732i −0.970429 0.241387i \(-0.922398\pi\)
0.926977 + 0.375118i \(0.122398\pi\)
\(684\) 4862.23 3532.62i 0.271801 0.197475i
\(685\) 667.499 + 245.291i 0.0372319 + 0.0136819i
\(686\) 730.266 + 530.569i 0.0406438 + 0.0295295i
\(687\) 8945.37 6499.19i 0.496779 0.360931i
\(688\) −14948.8 + 10860.9i −0.828369 + 0.601846i
\(689\) −9740.41 7076.82i −0.538578 0.391300i
\(690\) −88.9370 32.6823i −0.00490692 0.00180318i
\(691\) 20773.0 15092.5i 1.14362 0.830889i 0.156001 0.987757i \(-0.450140\pi\)
0.987620 + 0.156868i \(0.0501398\pi\)
\(692\) 7136.95 21965.3i 0.392061 1.20664i
\(693\) −6567.20 −0.359982
\(694\) 378.727 1165.60i 0.0207151 0.0637545i
\(695\) −681.261 + 17919.4i −0.0371823 + 0.978015i
\(696\) 440.057 + 1354.36i 0.0239660 + 0.0737597i
\(697\) −5716.32 17593.0i −0.310647 0.956073i
\(698\) 113.224 + 82.2622i 0.00613983 + 0.00446085i
\(699\) 7654.21 0.414176
\(700\) −17220.6 1311.29i −0.929827 0.0708029i
\(701\) 34424.0 1.85475 0.927373 0.374139i \(-0.122062\pi\)
0.927373 + 0.374139i \(0.122062\pi\)
\(702\) −249.189 181.047i −0.0133975 0.00973386i
\(703\) −6805.32 20944.6i −0.365103 1.12367i
\(704\) −6578.59 20246.8i −0.352187 1.08392i
\(705\) −14513.4 5333.34i −0.775328 0.284915i
\(706\) −137.937 + 424.527i −0.00735316 + 0.0226307i
\(707\) −14032.0 −0.746435
\(708\) 3496.09 10759.9i 0.185581 0.571158i
\(709\) 5594.78 4064.85i 0.296356 0.215315i −0.429664 0.902989i \(-0.641368\pi\)
0.726020 + 0.687674i \(0.241368\pi\)
\(710\) −908.913 + 257.587i −0.0480435 + 0.0136156i
\(711\) 4715.06 + 3425.69i 0.248704 + 0.180694i
\(712\) 1511.29 1098.01i 0.0795476 0.0577947i
\(713\) −2713.04 + 1971.14i −0.142502 + 0.103534i
\(714\) 255.742 + 185.807i 0.0134046 + 0.00973902i
\(715\) 22173.9 + 33094.5i 1.15980 + 1.73100i
\(716\) −17472.8 + 12694.7i −0.911996 + 0.662604i
\(717\) −5775.28 + 17774.5i −0.300811 + 0.925802i
\(718\) 1682.84 0.0874693
\(719\) −9251.51 + 28473.2i −0.479865 + 1.47687i 0.359417 + 0.933177i \(0.382976\pi\)
−0.839282 + 0.543696i \(0.817024\pi\)
\(720\) −6153.57 + 1743.93i −0.318514 + 0.0902672i
\(721\) −7297.88 22460.6i −0.376959 1.16016i
\(722\) −5.86267 18.0434i −0.000302197 0.000930065i
\(723\) 9912.23 + 7201.65i 0.509875 + 0.370446i
\(724\) 28373.5 1.45648
\(725\) −27428.8 2088.60i −1.40507 0.106991i
\(726\) −180.585 −0.00923158
\(727\) −14000.3 10171.8i −0.714226 0.518916i 0.170308 0.985391i \(-0.445524\pi\)
−0.884534 + 0.466475i \(0.845524\pi\)
\(728\) 975.237 + 3001.47i 0.0496493 + 0.152805i
\(729\) 225.273 + 693.320i 0.0114451 + 0.0352243i
\(730\) −45.4609 + 57.8178i −0.00230491 + 0.00293141i
\(731\) −4051.59 + 12469.5i −0.204998 + 0.630919i
\(732\) −1293.97 −0.0653367
\(733\) 1415.86 4357.57i 0.0713451 0.219578i −0.909026 0.416740i \(-0.863173\pi\)
0.980371 + 0.197162i \(0.0631726\pi\)
\(734\) −541.161 + 393.176i −0.0272134 + 0.0197717i
\(735\) −899.076 + 1143.46i −0.0451196 + 0.0573837i
\(736\) 437.472 + 317.842i 0.0219096 + 0.0159182i
\(737\) −15345.3 + 11149.0i −0.766963 + 0.557232i
\(738\) 403.053 292.835i 0.0201038 0.0146063i
\(739\) 1388.20 + 1008.59i 0.0691013 + 0.0502050i 0.621800 0.783176i \(-0.286402\pi\)
−0.552698 + 0.833381i \(0.686402\pi\)
\(740\) −892.407 + 23473.2i −0.0443318 + 1.16607i
\(741\) 17163.0 12469.7i 0.850878 0.618199i
\(742\) −102.836 + 316.496i −0.00508790 + 0.0156590i
\(743\) 12824.6 0.633228 0.316614 0.948554i \(-0.397454\pi\)
0.316614 + 0.948554i \(0.397454\pi\)
\(744\) 320.385 986.045i 0.0157875 0.0485889i
\(745\) 16995.8 + 25366.2i 0.835807 + 1.24744i
\(746\) −121.101 372.710i −0.00594345 0.0182921i
\(747\) 1862.96 + 5733.60i 0.0912478 + 0.280832i
\(748\) −12277.2 8919.94i −0.600134 0.436023i
\(749\) 19205.9 0.936939
\(750\) −64.3690 + 562.194i −0.00313390 + 0.0273712i
\(751\) −38918.8 −1.89103 −0.945516 0.325574i \(-0.894442\pi\)
−0.945516 + 0.325574i \(0.894442\pi\)
\(752\) 23706.2 + 17223.5i 1.14957 + 0.835210i
\(753\) −1073.67 3304.43i −0.0519613 0.159920i
\(754\) 775.787 + 2387.63i 0.0374701 + 0.115321i
\(755\) 5475.20 + 8171.72i 0.263924 + 0.393907i
\(756\) 1152.76 3547.84i 0.0554572 0.170680i
\(757\) 22740.4 1.09183 0.545915 0.837841i \(-0.316182\pi\)
0.545915 + 0.837841i \(0.316182\pi\)
\(758\) −199.532 + 614.096i −0.00956112 + 0.0294261i
\(759\) −2141.44 + 1555.85i −0.102410 + 0.0744053i
\(760\) −76.6516 + 2016.19i −0.00365848 + 0.0962299i
\(761\) −32579.1 23670.1i −1.55189 1.12752i −0.942283 0.334817i \(-0.891326\pi\)
−0.609611 0.792701i \(-0.708674\pi\)
\(762\) −748.152 + 543.564i −0.0355678 + 0.0258415i
\(763\) 17700.5 12860.1i 0.839843 0.610181i
\(764\) 1113.48 + 808.992i 0.0527282 + 0.0383093i
\(765\) −2805.13 + 3567.60i −0.132575 + 0.168610i
\(766\) 167.899 121.986i 0.00791962 0.00575394i
\(767\) 12340.7 37980.9i 0.580962 1.78802i
\(768\) 12009.2 0.564249
\(769\) −9475.06 + 29161.2i −0.444317 + 1.36747i 0.438915 + 0.898529i \(0.355363\pi\)
−0.883232 + 0.468937i \(0.844637\pi\)