Properties

Label 225.4.u.a.4.17
Level $225$
Weight $4$
Character 225.4
Analytic conductor $13.275$
Analytic rank $0$
Dimension $704$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 225.u (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(13.2754297513\)
Analytic rank: \(0\)
Dimension: \(704\)
Relative dimension: \(88\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 4.17
Character \(\chi\) \(=\) 225.4
Dual form 225.4.u.a.169.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.801643 - 3.77143i) q^{2} +(5.10602 - 0.963611i) q^{3} +(-6.27271 + 2.79279i) q^{4} +(-2.58409 - 10.8776i) q^{5} +(-7.72740 - 18.4845i) q^{6} +(11.3837 - 6.57239i) q^{7} +(-2.56924 - 3.53626i) q^{8} +(25.1429 - 9.84043i) q^{9} +O(q^{10})\) \(q+(-0.801643 - 3.77143i) q^{2} +(5.10602 - 0.963611i) q^{3} +(-6.27271 + 2.79279i) q^{4} +(-2.58409 - 10.8776i) q^{5} +(-7.72740 - 18.4845i) q^{6} +(11.3837 - 6.57239i) q^{7} +(-2.56924 - 3.53626i) q^{8} +(25.1429 - 9.84043i) q^{9} +(-38.9527 + 18.4657i) q^{10} +(48.9308 - 10.4006i) q^{11} +(-29.3374 + 20.3045i) q^{12} +(8.01697 - 37.7169i) q^{13} +(-33.9130 - 37.6642i) q^{14} +(-23.6762 - 53.0513i) q^{15} +(-48.0330 + 53.3460i) q^{16} +(58.1473 + 80.0329i) q^{17} +(-57.2682 - 86.9363i) q^{18} +(-57.9269 + 42.0864i) q^{19} +(46.5881 + 61.0153i) q^{20} +(51.7922 - 44.5282i) q^{21} +(-78.4501 - 176.202i) q^{22} +(-88.3239 + 79.5272i) q^{23} +(-16.5262 - 15.5805i) q^{24} +(-111.645 + 56.2175i) q^{25} -148.673 q^{26} +(118.898 - 74.4734i) q^{27} +(-53.0514 + 73.0190i) q^{28} +(29.1601 - 277.440i) q^{29} +(-181.099 + 131.821i) q^{30} +(-5.75958 - 54.7988i) q^{31} +(209.413 + 120.904i) q^{32} +(239.820 - 100.256i) q^{33} +(255.225 - 283.456i) q^{34} +(-100.908 - 106.844i) q^{35} +(-130.232 + 131.945i) q^{36} +(-262.122 + 85.1687i) q^{37} +(205.163 + 184.729i) q^{38} +(4.59043 - 200.308i) q^{39} +(-31.8269 + 37.0853i) q^{40} +(223.886 + 47.5884i) q^{41} +(-209.454 - 159.635i) q^{42} +(-452.097 + 261.018i) q^{43} +(-277.882 + 201.893i) q^{44} +(-172.012 - 248.066i) q^{45} +(370.736 + 269.355i) q^{46} +(221.112 + 23.2398i) q^{47} +(-193.853 + 318.671i) q^{48} +(-85.1074 + 147.410i) q^{49} +(301.520 + 375.995i) q^{50} +(374.022 + 352.618i) q^{51} +(55.0472 + 258.977i) q^{52} +(-286.723 + 394.640i) q^{53} +(-376.185 - 388.714i) q^{54} +(-239.575 - 505.375i) q^{55} +(-52.4892 - 23.3697i) q^{56} +(-255.221 + 270.713i) q^{57} +(-1069.72 + 112.432i) q^{58} +(742.571 + 157.838i) q^{59} +(296.675 + 266.653i) q^{60} +(287.751 - 61.1634i) q^{61} +(-202.053 + 65.6509i) q^{62} +(221.544 - 277.270i) q^{63} +(110.649 - 340.541i) q^{64} +(-430.986 + 10.2583i) q^{65} +(-570.358 - 824.095i) q^{66} +(1038.96 - 109.199i) q^{67} +(-588.256 - 339.630i) q^{68} +(-374.351 + 491.178i) q^{69} +(-322.062 + 466.220i) q^{70} +(-595.578 - 432.713i) q^{71} +(-99.3966 - 63.6294i) q^{72} +(515.144 + 167.380i) q^{73} +(531.336 + 920.301i) q^{74} +(-515.890 + 394.630i) q^{75} +(245.820 - 425.773i) q^{76} +(488.658 - 439.989i) q^{77} +(-759.129 + 143.263i) q^{78} +(45.0234 - 428.369i) q^{79} +(704.399 + 384.633i) q^{80} +(535.332 - 494.834i) q^{81} -882.520i q^{82} +(-52.7185 + 118.408i) q^{83} +(-200.520 + 423.957i) q^{84} +(720.309 - 839.316i) q^{85} +(1346.83 + 1495.81i) q^{86} +(-118.452 - 1444.71i) q^{87} +(-162.494 - 146.311i) q^{88} +(92.0010 - 283.150i) q^{89} +(-797.673 + 847.592i) q^{90} +(-156.627 - 482.048i) q^{91} +(331.927 - 745.521i) q^{92} +(-82.2133 - 274.254i) q^{93} +(-89.6054 - 852.538i) q^{94} +(607.487 + 521.351i) q^{95} +(1185.77 + 415.548i) q^{96} +(5.09662 + 0.535676i) q^{97} +(624.174 + 202.806i) q^{98} +(1127.92 - 743.001i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 704 q - 5 q^{2} - 10 q^{3} - 347 q^{4} + 12 q^{5} + 10 q^{6} - 20 q^{8} - 38 q^{9} + O(q^{10}) \) \( 704 q - 5 q^{2} - 10 q^{3} - 347 q^{4} + 12 q^{5} + 10 q^{6} - 20 q^{8} - 38 q^{9} - 91 q^{11} + 150 q^{12} - 5 q^{13} + 61 q^{14} - 363 q^{15} + 1293 q^{16} - 20 q^{17} - 12 q^{19} + q^{20} - 135 q^{21} - 5 q^{22} - 5 q^{23} - 250 q^{24} + 284 q^{25} - 2496 q^{26} - 340 q^{27} - 660 q^{28} + 345 q^{29} + 56 q^{30} + 33 q^{31} + 790 q^{33} - 19 q^{34} - 736 q^{35} - 852 q^{36} - 20 q^{37} - 3015 q^{38} + 500 q^{39} - 49 q^{40} - 659 q^{41} - 1790 q^{42} - 1996 q^{44} - 1083 q^{45} + 20 q^{46} - 955 q^{47} - 6225 q^{48} + 14888 q^{49} - 563 q^{50} + 204 q^{51} - 45 q^{52} - 20 q^{53} - 17 q^{54} - 50 q^{55} - 590 q^{56} - 5 q^{58} + 915 q^{59} - 2153 q^{60} - 3 q^{61} + 4900 q^{62} + 2385 q^{63} + 9156 q^{64} + 456 q^{65} - 3514 q^{66} + 1525 q^{67} - 476 q^{69} + 1254 q^{70} + 2432 q^{71} - 5090 q^{72} - 20 q^{73} - 3830 q^{74} - 4343 q^{75} + 152 q^{76} - 715 q^{77} - 1330 q^{78} - 255 q^{79} + 4778 q^{80} + 786 q^{81} - 145 q^{83} - 5595 q^{84} + 699 q^{85} - 4551 q^{86} - 6260 q^{87} - 5 q^{88} + 116 q^{89} + 3097 q^{90} - 2070 q^{91} + 12395 q^{92} - 2455 q^{94} + 1687 q^{95} - 5225 q^{96} - 5 q^{97} - 3370 q^{98} - 30 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.801643 3.77143i −0.283424 1.33340i −0.857451 0.514566i \(-0.827953\pi\)
0.574027 0.818836i \(-0.305380\pi\)
\(3\) 5.10602 0.963611i 0.982654 0.185447i
\(4\) −6.27271 + 2.79279i −0.784089 + 0.349099i
\(5\) −2.58409 10.8776i −0.231128 0.972923i
\(6\) −7.72740 18.4845i −0.525783 1.25771i
\(7\) 11.3837 6.57239i 0.614663 0.354876i −0.160125 0.987097i \(-0.551190\pi\)
0.774788 + 0.632221i \(0.217857\pi\)
\(8\) −2.56924 3.53626i −0.113546 0.156282i
\(9\) 25.1429 9.84043i 0.931219 0.364461i
\(10\) −38.9527 + 18.4657i −1.23179 + 0.583936i
\(11\) 48.9308 10.4006i 1.34120 0.285081i 0.519241 0.854628i \(-0.326215\pi\)
0.821959 + 0.569547i \(0.192881\pi\)
\(12\) −29.3374 + 20.3045i −0.705749 + 0.488450i
\(13\) 8.01697 37.7169i 0.171039 0.804675i −0.806051 0.591847i \(-0.798399\pi\)
0.977090 0.212828i \(-0.0682675\pi\)
\(14\) −33.9130 37.6642i −0.647402 0.719013i
\(15\) −23.6762 53.0513i −0.407545 0.913185i
\(16\) −48.0330 + 53.3460i −0.750515 + 0.833531i
\(17\) 58.1473 + 80.0329i 0.829576 + 1.14181i 0.988002 + 0.154442i \(0.0493580\pi\)
−0.158426 + 0.987371i \(0.550642\pi\)
\(18\) −57.2682 86.9363i −0.749902 1.13839i
\(19\) −57.9269 + 42.0864i −0.699439 + 0.508172i −0.879749 0.475438i \(-0.842290\pi\)
0.180310 + 0.983610i \(0.442290\pi\)
\(20\) 46.5881 + 61.0153i 0.520871 + 0.682172i
\(21\) 51.7922 44.5282i 0.538190 0.462707i
\(22\) −78.4501 176.202i −0.760255 1.70756i
\(23\) −88.3239 + 79.5272i −0.800731 + 0.720981i −0.964087 0.265586i \(-0.914435\pi\)
0.163356 + 0.986567i \(0.447768\pi\)
\(24\) −16.5262 15.5805i −0.140558 0.132515i
\(25\) −111.645 + 56.2175i −0.893160 + 0.449740i
\(26\) −148.673 −1.12143
\(27\) 118.898 74.4734i 0.847478 0.530830i
\(28\) −53.0514 + 73.0190i −0.358063 + 0.492832i
\(29\) 29.1601 277.440i 0.186720 1.77653i −0.353923 0.935275i \(-0.615152\pi\)
0.540643 0.841252i \(-0.318181\pi\)
\(30\) −181.099 + 131.821i −1.10214 + 0.802239i
\(31\) −5.75958 54.7988i −0.0333694 0.317489i −0.998456 0.0555561i \(-0.982307\pi\)
0.965086 0.261933i \(-0.0843598\pi\)
\(32\) 209.413 + 120.904i 1.15685 + 0.667909i
\(33\) 239.820 100.256i 1.26507 0.528857i
\(34\) 255.225 283.456i 1.28738 1.42978i
\(35\) −100.908 106.844i −0.487333 0.515998i
\(36\) −130.232 + 131.945i −0.602925 + 0.610857i
\(37\) −262.122 + 85.1687i −1.16467 + 0.378423i −0.826649 0.562718i \(-0.809756\pi\)
−0.338016 + 0.941140i \(0.609756\pi\)
\(38\) 205.163 + 184.729i 0.875836 + 0.788606i
\(39\) 4.59043 200.308i 0.0188476 0.822436i
\(40\) −31.8269 + 37.0853i −0.125807 + 0.146592i
\(41\) 223.886 + 47.5884i 0.852808 + 0.181270i 0.613520 0.789679i \(-0.289753\pi\)
0.239287 + 0.970949i \(0.423086\pi\)
\(42\) −209.454 159.635i −0.769511 0.586482i
\(43\) −452.097 + 261.018i −1.60335 + 0.925696i −0.612542 + 0.790438i \(0.709853\pi\)
−0.990810 + 0.135258i \(0.956814\pi\)
\(44\) −277.882 + 201.893i −0.952098 + 0.691740i
\(45\) −172.012 248.066i −0.569823 0.821767i
\(46\) 370.736 + 269.355i 1.18830 + 0.863354i
\(47\) 221.112 + 23.2398i 0.686223 + 0.0721249i 0.441222 0.897398i \(-0.354545\pi\)
0.245001 + 0.969523i \(0.421212\pi\)
\(48\) −193.853 + 318.671i −0.582921 + 0.958254i
\(49\) −85.1074 + 147.410i −0.248127 + 0.429768i
\(50\) 301.520 + 375.995i 0.852827 + 1.06347i
\(51\) 374.022 + 352.618i 1.02693 + 0.968165i
\(52\) 55.0472 + 258.977i 0.146801 + 0.690646i
\(53\) −286.723 + 394.640i −0.743101 + 1.02279i 0.255333 + 0.966853i \(0.417815\pi\)
−0.998434 + 0.0559380i \(0.982185\pi\)
\(54\) −376.185 388.714i −0.948006 0.979580i
\(55\) −239.575 505.375i −0.587351 1.23899i
\(56\) −52.4892 23.3697i −0.125253 0.0557662i
\(57\) −255.221 + 270.713i −0.593068 + 0.629066i
\(58\) −1069.72 + 112.432i −2.42175 + 0.254536i
\(59\) 742.571 + 157.838i 1.63855 + 0.348285i 0.932861 0.360236i \(-0.117304\pi\)
0.705690 + 0.708521i \(0.250637\pi\)
\(60\) 296.675 + 266.653i 0.638343 + 0.573745i
\(61\) 287.751 61.1634i 0.603980 0.128380i 0.104235 0.994553i \(-0.466760\pi\)
0.499745 + 0.866173i \(0.333427\pi\)
\(62\) −202.053 + 65.6509i −0.413883 + 0.134479i
\(63\) 221.544 277.270i 0.443047 0.554487i
\(64\) 110.649 340.541i 0.216111 0.665120i
\(65\) −430.986 + 10.2583i −0.822419 + 0.0195752i
\(66\) −570.358 824.095i −1.06373 1.53696i
\(67\) 1038.96 109.199i 1.89447 0.199116i 0.915384 0.402582i \(-0.131887\pi\)
0.979082 + 0.203466i \(0.0652207\pi\)
\(68\) −588.256 339.630i −1.04907 0.605679i
\(69\) −374.351 + 491.178i −0.653138 + 0.856969i
\(70\) −322.062 + 466.220i −0.549911 + 0.796057i
\(71\) −595.578 432.713i −0.995523 0.723290i −0.0343996 0.999408i \(-0.510952\pi\)
−0.961124 + 0.276118i \(0.910952\pi\)
\(72\) −99.3966 63.6294i −0.162694 0.104150i
\(73\) 515.144 + 167.380i 0.825931 + 0.268361i 0.691331 0.722539i \(-0.257025\pi\)
0.134601 + 0.990900i \(0.457025\pi\)
\(74\) 531.336 + 920.301i 0.834684 + 1.44571i
\(75\) −515.890 + 394.630i −0.794264 + 0.607573i
\(76\) 245.820 425.773i 0.371020 0.642625i
\(77\) 488.658 439.989i 0.723217 0.651188i
\(78\) −759.129 + 143.263i −1.10198 + 0.207966i
\(79\) 45.0234 428.369i 0.0641207 0.610067i −0.914527 0.404524i \(-0.867437\pi\)
0.978648 0.205543i \(-0.0658961\pi\)
\(80\) 704.399 + 384.633i 0.984427 + 0.537541i
\(81\) 535.332 494.834i 0.734337 0.678785i
\(82\) 882.520i 1.18851i
\(83\) −52.7185 + 118.408i −0.0697182 + 0.156590i −0.945043 0.326945i \(-0.893981\pi\)
0.875325 + 0.483535i \(0.160647\pi\)
\(84\) −200.520 + 423.957i −0.260458 + 0.550685i
\(85\) 720.309 839.316i 0.919158 1.07102i
\(86\) 1346.83 + 1495.81i 1.68875 + 1.87555i
\(87\) −118.452 1444.71i −0.145970 1.78034i
\(88\) −162.494 146.311i −0.196840 0.177236i
\(89\) 92.0010 283.150i 0.109574 0.337234i −0.881203 0.472738i \(-0.843266\pi\)
0.990777 + 0.135505i \(0.0432655\pi\)
\(90\) −797.673 + 847.592i −0.934246 + 0.992712i
\(91\) −156.627 482.048i −0.180428 0.555301i
\(92\) 331.927 745.521i 0.376150 0.844848i
\(93\) −82.2133 274.254i −0.0916679 0.305793i
\(94\) −89.6054 852.538i −0.0983201 0.935453i
\(95\) 607.487 + 521.351i 0.656073 + 0.563048i
\(96\) 1185.77 + 415.548i 1.26065 + 0.441789i
\(97\) 5.09662 + 0.535676i 0.00533488 + 0.000560718i 0.107196 0.994238i \(-0.465813\pi\)
−0.101861 + 0.994799i \(0.532480\pi\)
\(98\) 624.174 + 202.806i 0.643379 + 0.209046i
\(99\) 1127.92 743.001i 1.14505 0.754287i
\(100\) 543.313 664.437i 0.543313 0.664437i
\(101\) 531.528 + 920.633i 0.523653 + 0.906994i 0.999621 + 0.0275314i \(0.00876462\pi\)
−0.475968 + 0.879463i \(0.657902\pi\)
\(102\) 1030.04 1693.27i 0.999897 1.64371i
\(103\) −392.770 882.177i −0.375736 0.843917i −0.998125 0.0612089i \(-0.980504\pi\)
0.622389 0.782708i \(-0.286162\pi\)
\(104\) −153.974 + 68.5537i −0.145177 + 0.0646370i
\(105\) −618.197 448.311i −0.574570 0.416673i
\(106\) 1718.21 + 764.995i 1.57441 + 0.700970i
\(107\) 1692.85i 1.52947i −0.644342 0.764737i \(-0.722869\pi\)
0.644342 0.764737i \(-0.277131\pi\)
\(108\) −537.823 + 799.207i −0.479186 + 0.712072i
\(109\) 289.290 + 890.342i 0.254210 + 0.782379i 0.993984 + 0.109523i \(0.0349324\pi\)
−0.739774 + 0.672855i \(0.765068\pi\)
\(110\) −1713.93 + 1308.67i −1.48561 + 1.13434i
\(111\) −1256.33 + 687.457i −1.07429 + 0.587842i
\(112\) −196.183 + 922.967i −0.165514 + 0.778680i
\(113\) −198.542 + 934.068i −0.165286 + 0.777609i 0.814912 + 0.579585i \(0.196785\pi\)
−0.980197 + 0.198023i \(0.936548\pi\)
\(114\) 1225.57 + 745.534i 1.00689 + 0.612506i
\(115\) 1093.30 + 755.248i 0.886531 + 0.612411i
\(116\) 591.918 + 1821.74i 0.473778 + 1.45814i
\(117\) −169.580 1027.20i −0.133998 0.811665i
\(118\) 2927.09i 2.28356i
\(119\) 1187.94 + 528.904i 0.915111 + 0.407434i
\(120\) −126.773 + 220.027i −0.0964396 + 0.167380i
\(121\) 1070.13 476.451i 0.804001 0.357964i
\(122\) −461.348 1036.20i −0.342364 0.768963i
\(123\) 1189.02 + 27.2486i 0.871631 + 0.0199750i
\(124\) 189.170 + 327.652i 0.137000 + 0.237290i
\(125\) 900.013 + 1069.16i 0.643997 + 0.765028i
\(126\) −1223.30 613.269i −0.864925 0.433606i
\(127\) 809.539 + 263.035i 0.565630 + 0.183784i 0.577853 0.816141i \(-0.303891\pi\)
−0.0122229 + 0.999925i \(0.503891\pi\)
\(128\) 550.843 + 57.8960i 0.380376 + 0.0399791i
\(129\) −2056.90 + 1768.41i −1.40387 + 1.20698i
\(130\) 384.185 + 1617.21i 0.259195 + 1.09107i
\(131\) −84.9805 808.536i −0.0566777 0.539253i −0.985614 0.169013i \(-0.945942\pi\)
0.928936 0.370240i \(-0.120725\pi\)
\(132\) −1224.33 + 1298.64i −0.807303 + 0.856305i
\(133\) −382.815 + 859.817i −0.249581 + 0.560568i
\(134\) −1244.71 3830.83i −0.802438 2.46965i
\(135\) −1117.34 1100.88i −0.712333 0.701841i
\(136\) 133.623 411.248i 0.0842503 0.259296i
\(137\) −784.152 706.054i −0.489012 0.440308i 0.387371 0.921924i \(-0.373383\pi\)
−0.876382 + 0.481616i \(0.840050\pi\)
\(138\) 2152.54 + 1018.09i 1.32780 + 0.628011i
\(139\) 606.698 + 673.807i 0.370212 + 0.411162i 0.899249 0.437436i \(-0.144114\pi\)
−0.529037 + 0.848599i \(0.677447\pi\)
\(140\) 931.362 + 388.385i 0.562246 + 0.234461i
\(141\) 1151.40 94.4028i 0.687695 0.0563841i
\(142\) −1154.51 + 2593.07i −0.682282 + 1.53243i
\(143\) 1928.90i 1.12799i
\(144\) −682.740 + 1813.94i −0.395104 + 1.04973i
\(145\) −3093.24 + 399.737i −1.77158 + 0.228941i
\(146\) 218.302 2077.01i 0.123745 1.17736i
\(147\) −292.514 + 834.691i −0.164124 + 0.468328i
\(148\) 1406.36 1266.29i 0.781094 0.703300i
\(149\) 797.907 1382.02i 0.438705 0.759860i −0.558885 0.829245i \(-0.688771\pi\)
0.997590 + 0.0693855i \(0.0221038\pi\)
\(150\) 1901.88 + 1629.29i 1.03525 + 0.886874i
\(151\) −334.056 578.602i −0.180034 0.311827i 0.761858 0.647744i \(-0.224287\pi\)
−0.941892 + 0.335917i \(0.890954\pi\)
\(152\) 297.657 + 96.7145i 0.158836 + 0.0516091i
\(153\) 2249.55 + 1440.06i 1.18866 + 0.760930i
\(154\) −2051.12 1490.23i −1.07327 0.779778i
\(155\) −581.197 + 204.256i −0.301180 + 0.105846i
\(156\) 530.625 + 1269.30i 0.272333 + 0.651442i
\(157\) −713.834 412.132i −0.362867 0.209501i 0.307471 0.951558i \(-0.400517\pi\)
−0.670338 + 0.742056i \(0.733851\pi\)
\(158\) −1651.66 + 173.596i −0.831639 + 0.0874088i
\(159\) −1083.73 + 2291.33i −0.540538 + 1.14286i
\(160\) 774.010 2590.34i 0.382443 1.27990i
\(161\) −482.770 + 1485.81i −0.236321 + 0.727320i
\(162\) −2295.38 1622.29i −1.11322 0.786783i
\(163\) −1921.39 + 624.297i −0.923281 + 0.299992i −0.731812 0.681507i \(-0.761325\pi\)
−0.191469 + 0.981499i \(0.561325\pi\)
\(164\) −1537.28 + 326.758i −0.731958 + 0.155583i
\(165\) −1710.26 2349.60i −0.806931 1.10858i
\(166\) 488.828 + 103.904i 0.228557 + 0.0485812i
\(167\) −2291.09 + 240.803i −1.06162 + 0.111580i −0.619203 0.785231i \(-0.712544\pi\)
−0.442413 + 0.896812i \(0.645877\pi\)
\(168\) −290.530 68.7470i −0.133422 0.0315711i
\(169\) 648.770 + 288.851i 0.295298 + 0.131475i
\(170\) −3742.85 2043.76i −1.68861 0.922056i
\(171\) −1042.30 + 1628.20i −0.466122 + 0.728137i
\(172\) 2106.90 2899.90i 0.934011 1.28556i
\(173\) 71.0087 + 334.070i 0.0312063 + 0.146814i 0.990992 0.133918i \(-0.0427560\pi\)
−0.959786 + 0.280732i \(0.909423\pi\)
\(174\) −5353.68 + 1604.88i −2.33254 + 0.699226i
\(175\) −901.451 + 1373.74i −0.389390 + 0.593399i
\(176\) −1795.46 + 3109.83i −0.768967 + 1.33189i
\(177\) 3943.68 + 90.3765i 1.67472 + 0.0383792i
\(178\) −1141.63 119.990i −0.480725 0.0505262i
\(179\) 881.613 + 640.529i 0.368127 + 0.267460i 0.756434 0.654070i \(-0.226940\pi\)
−0.388307 + 0.921530i \(0.626940\pi\)
\(180\) 1771.78 + 1075.65i 0.733670 + 0.445414i
\(181\) −300.525 + 218.344i −0.123413 + 0.0896651i −0.647780 0.761828i \(-0.724302\pi\)
0.524366 + 0.851493i \(0.324302\pi\)
\(182\) −1692.45 + 977.139i −0.689302 + 0.397969i
\(183\) 1410.33 589.582i 0.569696 0.238159i
\(184\) 508.155 + 108.012i 0.203596 + 0.0432756i
\(185\) 1603.78 + 2631.18i 0.637363 + 1.04567i
\(186\) −968.424 + 529.915i −0.381765 + 0.208899i
\(187\) 3677.58 + 3311.31i 1.43814 + 1.29490i
\(188\) −1451.87 + 471.742i −0.563238 + 0.183007i
\(189\) 864.031 1629.23i 0.332534 0.627031i
\(190\) 1479.25 2709.04i 0.564823 1.03439i
\(191\) 633.465 703.534i 0.239979 0.266523i −0.611110 0.791546i \(-0.709277\pi\)
0.851088 + 0.525023i \(0.175943\pi\)
\(192\) 236.825 1845.43i 0.0890175 0.693660i
\(193\) −872.877 503.956i −0.325549 0.187956i 0.328314 0.944569i \(-0.393520\pi\)
−0.653863 + 0.756613i \(0.726853\pi\)
\(194\) −2.06540 19.6510i −0.000764367 0.00727246i
\(195\) −2190.74 + 467.682i −0.804523 + 0.171751i
\(196\) 122.168 1162.35i 0.0445218 0.423597i
\(197\) −26.1261 + 35.9595i −0.00944878 + 0.0130051i −0.813715 0.581264i \(-0.802558\pi\)
0.804266 + 0.594269i \(0.202558\pi\)
\(198\) −3706.37 3658.24i −1.33030 1.31303i
\(199\) −736.565 −0.262380 −0.131190 0.991357i \(-0.541880\pi\)
−0.131190 + 0.991357i \(0.541880\pi\)
\(200\) 485.643 + 250.369i 0.171701 + 0.0885189i
\(201\) 5199.73 1558.73i 1.82468 0.546985i
\(202\) 3046.01 2742.64i 1.06097 0.955304i
\(203\) −1491.49 3349.95i −0.515676 1.15823i
\(204\) −3330.92 1167.31i −1.14319 0.400627i
\(205\) −60.8931 2558.32i −0.0207462 0.871613i
\(206\) −3012.21 + 2188.50i −1.01879 + 0.740193i
\(207\) −1438.14 + 2868.69i −0.482886 + 0.963226i
\(208\) 1626.96 + 2239.33i 0.542354 + 0.746487i
\(209\) −2396.69 + 2661.79i −0.793218 + 0.880957i
\(210\) −1195.20 + 2690.87i −0.392747 + 0.884228i
\(211\) 3414.14 + 3791.79i 1.11393 + 1.23714i 0.968830 + 0.247727i \(0.0796836\pi\)
0.145100 + 0.989417i \(0.453650\pi\)
\(212\) 696.381 3276.22i 0.225602 1.06137i
\(213\) −3458.00 1635.54i −1.11239 0.526127i
\(214\) −6384.46 + 1357.06i −2.03941 + 0.433489i
\(215\) 4007.52 + 4243.24i 1.27121 + 1.34598i
\(216\) −568.835 229.113i −0.179187 0.0721722i
\(217\) −425.724 585.959i −0.133180 0.183306i
\(218\) 3125.96 1804.77i 0.971177 0.560709i
\(219\) 2791.62 + 358.249i 0.861372 + 0.110540i
\(220\) 2914.19 + 2500.99i 0.893067 + 0.766438i
\(221\) 3484.75 1551.51i 1.06068 0.472244i
\(222\) 3599.83 + 4187.08i 1.08831 + 1.26585i
\(223\) −370.941 1745.14i −0.111390 0.524051i −0.998094 0.0617124i \(-0.980344\pi\)
0.886704 0.462339i \(-0.152990\pi\)
\(224\) 3178.52 0.948098
\(225\) −2253.87 + 2512.11i −0.667815 + 0.744328i
\(226\) 3681.94 1.08371
\(227\) 65.9687 + 310.358i 0.0192885 + 0.0907454i 0.986739 0.162315i \(-0.0518961\pi\)
−0.967450 + 0.253061i \(0.918563\pi\)
\(228\) 844.884 2410.88i 0.245411 0.700283i
\(229\) −3311.59 + 1474.41i −0.955615 + 0.425467i −0.824476 0.565897i \(-0.808530\pi\)
−0.131139 + 0.991364i \(0.541863\pi\)
\(230\) 1971.93 4728.76i 0.565326 1.35567i
\(231\) 2071.12 2717.47i 0.589912 0.774011i
\(232\) −1056.02 + 609.693i −0.298841 + 0.172536i
\(233\) −2836.68 3904.35i −0.797583 1.09778i −0.993122 0.117083i \(-0.962646\pi\)
0.195539 0.980696i \(-0.437354\pi\)
\(234\) −3738.08 + 1463.01i −1.04430 + 0.408718i
\(235\) −318.580 2465.22i −0.0884333 0.684312i
\(236\) −5098.74 + 1083.77i −1.40636 + 0.298930i
\(237\) −182.891 2230.65i −0.0501267 0.611376i
\(238\) 1042.42 4904.22i 0.283909 1.33569i
\(239\) 418.695 + 465.008i 0.113318 + 0.125853i 0.797135 0.603801i \(-0.206348\pi\)
−0.683817 + 0.729654i \(0.739681\pi\)
\(240\) 3967.31 + 1285.18i 1.06704 + 0.345658i
\(241\) −1208.30 + 1341.95i −0.322959 + 0.358682i −0.882660 0.470012i \(-0.844249\pi\)
0.559701 + 0.828695i \(0.310916\pi\)
\(242\) −2654.76 3653.96i −0.705183 0.970602i
\(243\) 2256.59 3042.49i 0.595721 0.803192i
\(244\) −1634.16 + 1187.29i −0.428757 + 0.311510i
\(245\) 1823.40 + 544.844i 0.475480 + 0.142077i
\(246\) −850.406 4506.17i −0.220406 1.16790i
\(247\) 1122.97 + 2522.23i 0.289282 + 0.649738i
\(248\) −178.985 + 161.159i −0.0458289 + 0.0412645i
\(249\) −155.083 + 655.392i −0.0394698 + 0.166802i
\(250\) 3310.77 4251.42i 0.837567 1.07553i
\(251\) −1759.67 −0.442506 −0.221253 0.975216i \(-0.571015\pi\)
−0.221253 + 0.975216i \(0.571015\pi\)
\(252\) −615.328 + 2357.96i −0.153818 + 0.589434i
\(253\) −3494.63 + 4809.95i −0.868402 + 1.19525i
\(254\) 343.058 3263.98i 0.0847457 0.806301i
\(255\) 2869.14 4979.66i 0.704598 1.22290i
\(256\) −522.654 4972.72i −0.127601 1.21404i
\(257\) 3505.01 + 2023.62i 0.850726 + 0.491167i 0.860896 0.508781i \(-0.169904\pi\)
−0.0101698 + 0.999948i \(0.503237\pi\)
\(258\) 8318.34 + 6339.81i 2.00728 + 1.52984i
\(259\) −2424.16 + 2692.30i −0.581583 + 0.645914i
\(260\) 2674.80 1268.00i 0.638016 0.302454i
\(261\) −1996.96 7262.59i −0.473596 1.72239i
\(262\) −2981.21 + 968.655i −0.702977 + 0.228411i
\(263\) −1415.15 1274.21i −0.331794 0.298748i 0.486348 0.873765i \(-0.338329\pi\)
−0.818142 + 0.575017i \(0.804995\pi\)
\(264\) −970.686 590.483i −0.226294 0.137658i
\(265\) 5033.66 + 2099.07i 1.16685 + 0.486585i
\(266\) 3549.62 + 754.496i 0.818201 + 0.173914i
\(267\) 196.913 1534.42i 0.0451343 0.351705i
\(268\) −6212.13 + 3586.57i −1.41592 + 0.817481i
\(269\) 4497.71 3267.78i 1.01944 0.740668i 0.0532741 0.998580i \(-0.483034\pi\)
0.966169 + 0.257911i \(0.0830343\pi\)
\(270\) −3256.19 + 5096.47i −0.733945 + 1.14875i
\(271\) −2215.98 1610.00i −0.496720 0.360888i 0.311043 0.950396i \(-0.399322\pi\)
−0.807763 + 0.589508i \(0.799322\pi\)
\(272\) −7062.42 742.290i −1.57435 0.165470i
\(273\) −1264.25 2310.42i −0.280278 0.512209i
\(274\) −2034.22 + 3523.38i −0.448511 + 0.776844i
\(275\) −4878.19 + 3911.94i −1.06969 + 0.857814i
\(276\) 976.436 4126.50i 0.212951 0.899949i
\(277\) 1735.81 + 8166.36i 0.376516 + 1.77137i 0.603393 + 0.797444i \(0.293815\pi\)
−0.226877 + 0.973923i \(0.572852\pi\)
\(278\) 2054.86 2828.27i 0.443318 0.610175i
\(279\) −684.057 1321.12i −0.146786 0.283490i
\(280\) −118.570 + 631.347i −0.0253068 + 0.134751i
\(281\) −3966.43 1765.97i −0.842055 0.374907i −0.0600622 0.998195i \(-0.519130\pi\)
−0.781993 + 0.623288i \(0.785797\pi\)
\(282\) −1279.04 4266.73i −0.270092 0.900994i
\(283\) −4793.69 + 503.837i −1.00691 + 0.105830i −0.593600 0.804760i \(-0.702294\pi\)
−0.413309 + 0.910591i \(0.635627\pi\)
\(284\) 4944.37 + 1050.96i 1.03308 + 0.219588i
\(285\) 3604.22 + 2076.65i 0.749108 + 0.431615i
\(286\) −7274.71 + 1546.29i −1.50407 + 0.319699i
\(287\) 2861.42 929.733i 0.588517 0.191221i
\(288\) 6454.99 + 979.178i 1.32071 + 0.200342i
\(289\) −1505.95 + 4634.85i −0.306524 + 0.943384i
\(290\) 3987.25 + 11345.5i 0.807378 + 2.29734i
\(291\) 26.5396 2.17598i 0.00534632 0.000438345i
\(292\) −3698.80 + 388.760i −0.741288 + 0.0779125i
\(293\) −90.1476 52.0468i −0.0179743 0.0103775i 0.490986 0.871168i \(-0.336637\pi\)
−0.508960 + 0.860790i \(0.669970\pi\)
\(294\) 3382.47 + 434.073i 0.670986 + 0.0861077i
\(295\) −201.966 8485.27i −0.0398608 1.67468i
\(296\) 974.634 + 708.113i 0.191383 + 0.139048i
\(297\) 5043.21 4880.65i 0.985308 0.953550i
\(298\) −5851.82 1901.37i −1.13754 0.369609i
\(299\) 2291.43 + 3968.87i 0.443199 + 0.767644i
\(300\) 2133.91 3916.17i 0.410671 0.753667i
\(301\) −3431.03 + 5942.71i −0.657014 + 1.13798i
\(302\) −1914.36 + 1723.70i −0.364766 + 0.328436i
\(303\) 3601.12 + 4188.59i 0.682770 + 0.794152i
\(304\) 537.261 5111.70i 0.101362 0.964395i
\(305\) −1408.89 2972.00i −0.264501 0.557954i
\(306\) 3627.77 9638.44i 0.677732 1.80063i
\(307\) 4142.95i 0.770197i 0.922875 + 0.385099i \(0.125833\pi\)
−0.922875 + 0.385099i \(0.874167\pi\)
\(308\) −1836.41 + 4124.65i −0.339738 + 0.763063i
\(309\) −2855.57 4125.94i −0.525721 0.759600i
\(310\) 1236.25 + 2028.20i 0.226497 + 0.371594i
\(311\) 4821.96 + 5355.33i 0.879191 + 0.976441i 0.999868 0.0162511i \(-0.00517311\pi\)
−0.120677 + 0.992692i \(0.538506\pi\)
\(312\) −720.136 + 498.408i −0.130672 + 0.0904384i
\(313\) −2433.79 2191.39i −0.439508 0.395734i 0.419452 0.907777i \(-0.362222\pi\)
−0.858960 + 0.512043i \(0.828889\pi\)
\(314\) −982.089 + 3022.56i −0.176505 + 0.543225i
\(315\) −3588.52 1693.38i −0.641874 0.302893i
\(316\) 913.927 + 2812.78i 0.162697 + 0.500731i
\(317\) 1468.39 3298.05i 0.260167 0.584345i −0.735480 0.677546i \(-0.763043\pi\)
0.995647 + 0.0932016i \(0.0297101\pi\)
\(318\) 9510.35 + 2250.40i 1.67709 + 0.396843i
\(319\) −1458.70 13878.6i −0.256024 2.43591i
\(320\) −3990.20 323.603i −0.697060 0.0565311i
\(321\) −1631.25 8643.72i −0.283636 1.50294i
\(322\) 5990.66 + 629.643i 1.03679 + 0.108971i
\(323\) −6736.58 2188.85i −1.16048 0.377061i
\(324\) −1976.01 + 4599.02i −0.338822 + 0.788584i
\(325\) 1225.29 + 4661.59i 0.209129 + 0.795626i
\(326\) 3894.76 + 6745.92i 0.661690 + 1.14608i
\(327\) 2335.06 + 4267.34i 0.394891 + 0.721665i
\(328\) −406.933 913.986i −0.0685033 0.153861i
\(329\) 2669.81 1188.68i 0.447391 0.199191i
\(330\) −7490.33 + 8333.67i −1.24948 + 1.39016i
\(331\) 5507.29 + 2452.00i 0.914525 + 0.407173i 0.809381 0.587284i \(-0.199803\pi\)
0.105144 + 0.994457i \(0.466469\pi\)
\(332\) 889.969i 0.147119i
\(333\) −5752.42 + 4720.78i −0.946638 + 0.776869i
\(334\) 2744.81 + 8447.65i 0.449668 + 1.38394i
\(335\) −3872.59 11019.2i −0.631589 1.79715i
\(336\) −112.332 + 4901.73i −0.0182387 + 0.795867i
\(337\) −577.714 + 2717.93i −0.0933830 + 0.439332i 0.906471 + 0.422267i \(0.138766\pi\)
−0.999854 + 0.0170652i \(0.994568\pi\)
\(338\) 569.300 2678.35i 0.0916149 0.431014i
\(339\) −113.683 + 4960.69i −0.0182136 + 0.794772i
\(340\) −2174.25 + 7276.46i −0.346810 + 1.16065i
\(341\) −851.760 2621.45i −0.135265 0.416303i
\(342\) 6976.20 + 2625.74i 1.10301 + 0.415157i
\(343\) 6746.09i 1.06197i
\(344\) 2084.58 + 928.113i 0.326723 + 0.145467i
\(345\) 6310.20 + 2802.79i 0.984723 + 0.437384i
\(346\) 1203.00 535.609i 0.186918 0.0832212i
\(347\) 1428.63 + 3208.75i 0.221017 + 0.496411i 0.989689 0.143231i \(-0.0457492\pi\)
−0.768673 + 0.639642i \(0.779083\pi\)
\(348\) 4777.79 + 8731.45i 0.735967 + 1.34499i
\(349\) 1537.02 + 2662.20i 0.235745 + 0.408322i 0.959489 0.281746i \(-0.0909137\pi\)
−0.723744 + 0.690069i \(0.757580\pi\)
\(350\) 5903.60 + 2298.51i 0.901602 + 0.351031i
\(351\) −1855.70 5081.51i −0.282194 0.772737i
\(352\) 11504.2 + 3737.94i 1.74198 + 0.566003i
\(353\) 9070.99 + 953.400i 1.36771 + 0.143752i 0.759748 0.650218i \(-0.225322\pi\)
0.607958 + 0.793969i \(0.291989\pi\)
\(354\) −2820.57 14945.8i −0.423479 2.24395i
\(355\) −3167.86 + 7596.64i −0.473612 + 1.13574i
\(356\) 213.683 + 2033.06i 0.0318123 + 0.302673i
\(357\) 6575.30 + 1555.89i 0.974795 + 0.230662i
\(358\) 1708.97 3838.42i 0.252296 0.566667i
\(359\) 1929.68 + 5938.96i 0.283690 + 0.873109i 0.986788 + 0.162016i \(0.0517997\pi\)
−0.703098 + 0.711093i \(0.748200\pi\)
\(360\) −435.286 + 1245.62i −0.0637266 + 0.182361i
\(361\) −535.283 + 1647.43i −0.0780410 + 0.240185i
\(362\) 1064.38 + 958.375i 0.154538 + 0.139147i
\(363\) 5004.97 3463.95i 0.723672 0.500855i
\(364\) 2328.74 + 2586.32i 0.335327 + 0.372418i
\(365\) 489.520 6036.06i 0.0701991 0.865594i
\(366\) −3354.15 4846.32i −0.479028 0.692134i
\(367\) −1379.11 + 3097.53i −0.196155 + 0.440572i −0.984666 0.174449i \(-0.944186\pi\)
0.788511 + 0.615021i \(0.210852\pi\)
\(368\) 8531.65i 1.20854i
\(369\) 6097.44 1006.62i 0.860217 0.142013i
\(370\) 8637.66 8157.81i 1.21365 1.14623i
\(371\) −670.241 + 6376.92i −0.0937929 + 0.892380i
\(372\) 1281.63 + 1490.71i 0.178628 + 0.207768i
\(373\) 3588.33 3230.94i 0.498114 0.448504i −0.381377 0.924420i \(-0.624550\pi\)
0.879491 + 0.475916i \(0.157883\pi\)
\(374\) 9540.27 16524.2i 1.31903 2.28462i
\(375\) 5625.74 + 4591.89i 0.774698 + 0.632331i
\(376\) −485.908 841.617i −0.0666457 0.115434i
\(377\) −10230.4 3324.05i −1.39759 0.454105i
\(378\) −6837.16 1952.58i −0.930333 0.265687i
\(379\) 782.173 + 568.282i 0.106009 + 0.0770203i 0.639527 0.768769i \(-0.279130\pi\)
−0.533518 + 0.845789i \(0.679130\pi\)
\(380\) −5266.62 1573.70i −0.710978 0.212445i
\(381\) 4386.99 + 562.983i 0.589901 + 0.0757021i
\(382\) −3161.14 1825.09i −0.423398 0.244449i
\(383\) −8889.06 + 934.278i −1.18593 + 0.124646i −0.676880 0.736093i \(-0.736668\pi\)
−0.509046 + 0.860739i \(0.670002\pi\)
\(384\) 2868.41 235.181i 0.381192 0.0312539i
\(385\) −6048.77 4178.46i −0.800712 0.553127i
\(386\) −1200.90 + 3695.99i −0.158353 + 0.487360i
\(387\) −8798.50 + 11011.6i −1.15569 + 1.44638i
\(388\) −33.4656 + 10.8736i −0.00437876 + 0.00142275i
\(389\) −4234.30 + 900.029i −0.551896 + 0.117309i −0.475415 0.879762i \(-0.657702\pi\)
−0.0764816 + 0.997071i \(0.524369\pi\)
\(390\) 3520.02 + 7887.31i 0.457034 + 1.02408i
\(391\) −11500.6 2444.53i −1.48749 0.316176i
\(392\) 739.943 77.7712i 0.0953387 0.0100205i
\(393\) −1213.03 4046.51i −0.155697 0.519388i
\(394\) 156.563 + 69.7062i 0.0200191 + 0.00891307i
\(395\) −4775.98 + 617.198i −0.608369 + 0.0786192i
\(396\) −5000.05 + 7810.67i −0.634500 + 0.991164i
\(397\) −3794.20 + 5222.26i −0.479661 + 0.660196i −0.978440 0.206533i \(-0.933782\pi\)
0.498779 + 0.866729i \(0.333782\pi\)
\(398\) 590.462 + 2777.90i 0.0743648 + 0.349859i
\(399\) −1126.13 + 4759.13i −0.141296 + 0.597129i
\(400\) 2363.66 8656.10i 0.295457 1.08201i
\(401\) 7968.07 13801.1i 0.992285 1.71869i 0.388778 0.921331i \(-0.372897\pi\)
0.603507 0.797357i \(-0.293769\pi\)
\(402\) −10047.0 18360.9i −1.24651 2.27800i
\(403\) −2113.01 222.087i −0.261183 0.0274514i
\(404\) −5905.25 4290.42i −0.727221 0.528357i
\(405\) −6765.96 4544.43i −0.830132 0.557567i
\(406\) −11438.5 + 8310.52i −1.39823 + 1.01587i
\(407\) −11940.1 + 6893.59i −1.45417 + 0.839565i
\(408\) 285.997 2228.60i 0.0347033 0.270422i
\(409\) −9410.14 2000.19i −1.13766 0.241816i −0.399688 0.916651i \(-0.630882\pi\)
−0.737969 + 0.674835i \(0.764215\pi\)
\(410\) −9599.71 + 2280.51i −1.15633 + 0.274699i
\(411\) −4684.26 2849.51i −0.562183 0.341985i
\(412\) 4927.47 + 4436.71i 0.589221 + 0.530537i
\(413\) 9490.59 3083.68i 1.13075 0.367404i
\(414\) 11971.9 + 3124.17i 1.42123 + 0.370881i
\(415\) 1424.22 + 267.475i 0.168463 + 0.0316382i
\(416\) 6238.99 6929.10i 0.735316 0.816651i
\(417\) 3747.10 + 2855.85i 0.440039 + 0.335375i
\(418\) 11960.1 + 6905.15i 1.39949 + 0.807994i
\(419\) −1266.15 12046.6i −0.147627 1.40457i −0.777992 0.628274i \(-0.783762\pi\)
0.630366 0.776298i \(-0.282905\pi\)
\(420\) 5129.81 + 1085.63i 0.595974 + 0.126127i
\(421\) 1141.52 10860.8i 0.132147 1.25730i −0.704558 0.709646i \(-0.748855\pi\)
0.836706 0.547653i \(-0.184478\pi\)
\(422\) 11563.6 15915.9i 1.33390 1.83595i
\(423\) 5788.08 1591.52i 0.665310 0.182937i
\(424\) 2132.21 0.244220
\(425\) −10991.1 5666.37i −1.25446 0.646728i
\(426\) −3396.23 + 14352.7i −0.386263 + 1.63238i
\(427\) 2873.69 2587.48i 0.325685 0.293248i
\(428\) 4727.77 + 10618.7i 0.533938 + 1.19924i
\(429\) −1858.71 9849.00i −0.209182 1.10842i
\(430\) 12790.5 18515.6i 1.43445 2.07652i
\(431\) −7795.47 + 5663.74i −0.871217 + 0.632976i −0.930913 0.365241i \(-0.880987\pi\)
0.0596964 + 0.998217i \(0.480987\pi\)
\(432\) −1738.16 + 9919.91i −0.193581 + 1.10480i
\(433\) −123.172 169.532i −0.0136704 0.0188157i 0.802127 0.597153i \(-0.203702\pi\)
−0.815797 + 0.578338i \(0.803702\pi\)
\(434\) −1868.63 + 2075.32i −0.206675 + 0.229536i
\(435\) −15408.9 + 5021.74i −1.69839 + 0.553504i
\(436\) −4301.17 4776.93i −0.472451 0.524710i
\(437\) 1769.32 8324.00i 0.193680 0.911192i
\(438\) −886.771 10815.6i −0.0967387 1.17989i
\(439\) 3525.70 749.410i 0.383308 0.0814747i −0.0122275 0.999925i \(-0.503892\pi\)
0.395536 + 0.918451i \(0.370559\pi\)
\(440\) −1171.61 + 2145.63i −0.126942 + 0.232475i
\(441\) −689.266 + 4543.82i −0.0744267 + 0.490640i
\(442\) −8644.95 11898.8i −0.930313 1.28047i
\(443\) −10305.6 + 5949.94i −1.10527 + 0.638127i −0.937600 0.347716i \(-0.886957\pi\)
−0.167669 + 0.985843i \(0.553624\pi\)
\(444\) 5960.68 7820.89i 0.637121 0.835953i
\(445\) −3317.73 269.066i −0.353428 0.0286628i
\(446\) −6284.32 + 2797.96i −0.667200 + 0.297057i
\(447\) 2742.41 7825.47i 0.290182 0.828036i
\(448\) −978.578 4603.85i −0.103200 0.485517i
\(449\) 629.459 0.0661604 0.0330802 0.999453i \(-0.489468\pi\)
0.0330802 + 0.999453i \(0.489468\pi\)
\(450\) 11281.0 + 6486.52i 1.18176 + 0.679506i
\(451\) 11449.9 1.19546
\(452\) −1363.26 6413.63i −0.141863 0.667415i
\(453\) −2263.24 2632.45i −0.234738 0.273032i
\(454\) 1117.61 497.593i 0.115533 0.0514388i
\(455\) −4838.80 + 2949.38i −0.498563 + 0.303889i
\(456\) 1613.04 + 207.001i 0.165652 + 0.0212582i
\(457\) 12339.1 7123.98i 1.26302 0.729203i 0.289360 0.957220i \(-0.406558\pi\)
0.973657 + 0.228017i \(0.0732242\pi\)
\(458\) 8215.36 + 11307.5i 0.838163 + 1.15363i
\(459\) 12873.9 + 5185.31i 1.30916 + 0.527297i
\(460\) −8967.22 1684.08i −0.908911 0.170697i
\(461\) 10967.1 2331.13i 1.10800 0.235513i 0.382652 0.923893i \(-0.375011\pi\)
0.725351 + 0.688380i \(0.241678\pi\)
\(462\) −11909.1 5632.64i −1.19926 0.567217i
\(463\) −2651.27 + 12473.2i −0.266123 + 1.25201i 0.618531 + 0.785761i \(0.287728\pi\)
−0.884653 + 0.466249i \(0.845605\pi\)
\(464\) 13399.7 + 14881.8i 1.34065 + 1.48895i
\(465\) −2770.78 + 1602.98i −0.276327 + 0.159863i
\(466\) −12451.0 + 13828.2i −1.23773 + 1.37464i
\(467\) −9193.08 12653.2i −0.910932 1.25379i −0.966848 0.255354i \(-0.917808\pi\)
0.0559160 0.998435i \(-0.482192\pi\)
\(468\) 3932.49 + 5969.74i 0.388417 + 0.589639i
\(469\) 11109.5 8071.54i 1.09380 0.794689i
\(470\) −9042.03 + 3177.73i −0.887400 + 0.311867i
\(471\) −4041.98 1416.50i −0.395424 0.138575i
\(472\) −1349.69 3031.45i −0.131620 0.295622i
\(473\) −19406.7 + 17473.9i −1.88652 + 1.69863i
\(474\) −8266.13 + 2477.94i −0.801004 + 0.240117i
\(475\) 4101.26 7955.23i 0.396165 0.768445i
\(476\) −8928.71 −0.859763
\(477\) −3325.61 + 12743.9i −0.319223 + 1.22327i
\(478\) 1418.10 1951.85i 0.135695 0.186769i
\(479\) 531.573 5057.58i 0.0507060 0.482435i −0.939472 0.342625i \(-0.888684\pi\)
0.990178 0.139810i \(-0.0446493\pi\)
\(480\) 1456.04 13972.2i 0.138456 1.32862i
\(481\) 1110.87 + 10569.2i 0.105304 + 1.00190i
\(482\) 6029.69 + 3481.24i 0.569802 + 0.328975i
\(483\) −1033.29 + 8051.80i −0.0973422 + 0.758529i
\(484\) −5381.96 + 5977.27i −0.505443 + 0.561352i
\(485\) −7.34325 56.8233i −0.000687504 0.00532003i
\(486\) −13283.5 6071.58i −1.23982 0.566692i
\(487\) −8726.33 + 2835.36i −0.811967 + 0.263824i −0.685431 0.728138i \(-0.740386\pi\)
−0.126536 + 0.991962i \(0.540386\pi\)
\(488\) −955.593 860.420i −0.0886428 0.0798143i
\(489\) −9209.07 + 5039.14i −0.851633 + 0.466008i
\(490\) 593.128 7313.59i 0.0546832 0.674275i
\(491\) −2092.85 444.849i −0.192361 0.0408875i 0.110724 0.993851i \(-0.464683\pi\)
−0.303084 + 0.952964i \(0.598016\pi\)
\(492\) −7534.50 + 3149.77i −0.690410 + 0.288623i
\(493\) 23899.9 13798.6i 2.18336 1.26056i
\(494\) 8612.19 6257.12i 0.784374 0.569881i
\(495\) −10996.7 10349.1i −0.998517 0.939709i
\(496\) 3199.95 + 2324.90i 0.289681 + 0.210466i
\(497\) −9623.85 1011.51i −0.868589 0.0912924i
\(498\) 2596.09 + 59.4941i 0.233601 + 0.00535340i
\(499\) −2853.82 + 4942.96i −0.256021 + 0.443442i −0.965172 0.261615i \(-0.915745\pi\)
0.709151 + 0.705056i \(0.249078\pi\)
\(500\) −8631.46 4192.98i −0.772021 0.375032i
\(501\) −11466.3 + 3437.26i −1.02251 + 0.306518i
\(502\) 1410.62 + 6636.46i 0.125417 + 0.590039i
\(503\) −6413.04 + 8826.79i −0.568476 + 0.782440i −0.992373 0.123270i \(-0.960662\pi\)
0.423897 + 0.905710i \(0.360662\pi\)
\(504\) −1549.70 71.0656i −0.136962 0.00628078i
\(505\) 8640.77 8160.75i 0.761405 0.719106i
\(506\) 20941.9 + 9323.92i 1.83988 + 0.819167i
\(507\) 3590.97 + 849.717i 0.314558 + 0.0744325i
\(508\) −5812.61 + 610.930i −0.507663 + 0.0533575i
\(509\) 8071.95 + 1715.75i 0.702914 + 0.149409i 0.545484 0.838121i \(-0.316346\pi\)
0.157430 + 0.987530i \(0.449679\pi\)
\(510\) −21080.5 6828.85i −1.83031 0.592915i
\(511\) 6964.33 1480.31i 0.602904 0.128151i
\(512\) −14121.1 + 4588.24i −1.21889 + 0.396042i
\(513\) −3753.07 + 9317.99i −0.323006 + 0.801948i
\(514\) 4822.18 14841.1i 0.413808 1.27357i
\(515\) −8581.02 + 6552.03i −0.734223 + 0.560615i
\(516\) 7963.52 16837.2i 0.679408 1.43647i
\(517\) 11060.9 1162.55i 0.940923 0.0988950i
\(518\) 12097.2 + 6984.30i 1.02610 + 0.592418i
\(519\) 684.485 + 1637.34i 0.0578913 + 0.138480i
\(520\) 1143.58 + 1497.72i 0.0964413 + 0.126307i
\(521\) −9790.92 7113.52i −0.823316 0.598174i 0.0943442 0.995540i \(-0.469925\pi\)
−0.917661 + 0.397365i \(0.869925\pi\)
\(522\) −25789.5 + 13353.4i −2.16241 + 1.11966i
\(523\) −4117.69 1337.92i −0.344272 0.111861i 0.131777 0.991279i \(-0.457932\pi\)
−0.476049 + 0.879419i \(0.657932\pi\)
\(524\) 2791.13 + 4834.38i 0.232693 + 0.403036i
\(525\) −3279.08 + 7882.98i −0.272592 + 0.655317i
\(526\) −3671.14 + 6358.59i −0.304314 + 0.527087i
\(527\) 4050.80 3647.36i 0.334830 0.301483i
\(528\) −6171.01 + 17609.0i −0.508634 + 1.45139i
\(529\) 204.739 1947.96i 0.0168274 0.160102i
\(530\) 3881.32 20666.8i 0.318101 1.69379i
\(531\) 20223.6 3338.71i 1.65279 0.272858i
\(532\) 6462.50i 0.526664i
\(533\) 3589.77 8062.76i 0.291727 0.655229i
\(534\) −5944.82 + 487.416i −0.481756 + 0.0394991i
\(535\) −18414.1 + 4374.47i −1.48806 + 0.353505i
\(536\) −3055.50 3393.47i −0.246227 0.273462i
\(537\) 5118.75 + 2421.02i 0.411342 + 0.194553i
\(538\) −15929.8 14343.2i −1.27654 1.14940i
\(539\) −2631.23 + 8098.08i −0.210269 + 0.647141i
\(540\) 10083.3 + 3785.01i 0.803544 + 0.301631i
\(541\) −5898.84 18154.8i −0.468782 1.44276i −0.854163 0.520005i \(-0.825930\pi\)
0.385381 0.922757i \(-0.374070\pi\)
\(542\) −4295.59 + 9648.06i −0.340427 + 0.764612i
\(543\) −1324.09 + 1404.46i −0.104645 + 0.110996i
\(544\) 2500.45 + 23790.1i 0.197069 + 1.87499i
\(545\) 8937.24 5447.50i 0.702439 0.428157i
\(546\) −7700.13 + 6620.16i −0.603544 + 0.518895i
\(547\) −3373.35 354.553i −0.263682 0.0277141i −0.0282351 0.999601i \(-0.508989\pi\)
−0.235447 + 0.971887i \(0.575655\pi\)
\(548\) 6890.62 + 2238.90i 0.537140 + 0.174527i
\(549\) 6633.03 4369.43i 0.515648 0.339677i
\(550\) 18664.2 + 15261.8i 1.44699 + 1.18321i
\(551\) 9987.28 + 17298.5i 0.772182 + 1.33746i
\(552\) 2698.73 + 61.8463i 0.208090 + 0.00476875i
\(553\) −2302.88 5172.34i −0.177085 0.397740i
\(554\) 29407.4 13093.0i 2.25523 1.00409i
\(555\) 10724.4 + 11889.4i 0.820223 + 0.909331i
\(556\) −5687.44 2532.21i −0.433815 0.193147i
\(557\) 19853.7i 1.51028i 0.655563 + 0.755140i \(0.272431\pi\)
−0.655563 + 0.755140i \(0.727569\pi\)
\(558\) −4434.16 + 3638.94i −0.336403 + 0.276073i
\(559\) 6220.35 + 19144.3i 0.470649 + 1.44851i
\(560\) 10546.6 251.031i 0.795851 0.0189428i
\(561\) 21968.6 + 13363.9i 1.65333 + 1.00574i
\(562\) −3480.57 + 16374.8i −0.261244 + 1.22906i
\(563\) 1383.56 6509.11i 0.103570 0.487258i −0.895536 0.444989i \(-0.853208\pi\)
0.999106 0.0422698i \(-0.0134589\pi\)
\(564\) −6958.72 + 3807.77i −0.519530 + 0.284284i
\(565\) 10673.5 254.050i 0.794756 0.0189168i
\(566\) 5743.02 + 17675.2i 0.426496 + 1.31262i
\(567\) 2841.82 9151.46i 0.210485 0.677822i
\(568\) 3217.87i 0.237709i
\(569\) −6749.22 3004.95i −0.497262 0.221395i 0.142752 0.989758i \(-0.454405\pi\)
−0.640014 + 0.768363i \(0.721072\pi\)
\(570\) 4942.65 15257.8i 0.363201 1.12119i
\(571\) 9143.33 4070.87i 0.670117 0.298355i −0.0433340 0.999061i \(-0.513798\pi\)
0.713451 + 0.700706i \(0.247131\pi\)
\(572\) 5387.01 + 12099.4i 0.393780 + 0.884444i
\(573\) 2556.55 4202.67i 0.186390 0.306403i
\(574\) −5800.26 10046.4i −0.421774 0.730534i
\(575\) 5390.10 13844.2i 0.390926 1.00407i
\(576\) −569.047 9651.03i −0.0411637 0.698136i
\(577\) −8005.23 2601.06i −0.577577 0.187666i 0.00563770 0.999984i \(-0.498205\pi\)
−0.583215 + 0.812318i \(0.698205\pi\)
\(578\) 18687.2 + 1964.11i 1.34479 + 0.141343i
\(579\) −4942.54 1732.09i −0.354758 0.124324i
\(580\) 18286.6 11146.2i 1.30915 0.797966i
\(581\) 178.089 + 1694.41i 0.0127167 + 0.120991i
\(582\) −29.4819 98.3480i −0.00209976 0.00700457i
\(583\) −9925.09 + 22292.1i −0.705069 + 1.58361i
\(584\) −731.629 2251.72i −0.0518408 0.159550i
\(585\) −10735.3 + 4499.01i −0.758718 + 0.317968i
\(586\) −124.025 + 381.709i −0.00874302 + 0.0269083i
\(587\) −13283.3 11960.4i −0.934006 0.840983i 0.0534992 0.998568i \(-0.482963\pi\)
−0.987505 + 0.157585i \(0.949629\pi\)
\(588\) −496.261 6052.70i −0.0348052 0.424506i
\(589\) 2639.92 + 2931.92i 0.184679 + 0.205107i
\(590\) −31839.7 + 7563.86i −2.22173 + 0.527795i
\(591\) −98.7496 + 208.786i −0.00687312 + 0.0145318i
\(592\) 8047.10 18074.1i 0.558672 1.25480i
\(593\) 21164.5i 1.46563i 0.680425 + 0.732817i \(0.261795\pi\)
−0.680425 + 0.732817i \(0.738205\pi\)
\(594\) −22449.9 15107.6i −1.55073 1.04355i
\(595\) 2683.48 14288.7i 0.184894 0.984502i
\(596\) −1145.36 + 10897.4i −0.0787177 + 0.748949i
\(597\) −3760.92 + 709.762i −0.257829 + 0.0486577i
\(598\) 13131.4 11823.6i 0.897966 0.808532i
\(599\) −12049.8 + 20870.9i −0.821940 + 1.42364i 0.0822962 + 0.996608i \(0.473775\pi\)
−0.904236 + 0.427033i \(0.859559\pi\)
\(600\) 2720.96 + 810.420i 0.185138 + 0.0551421i
\(601\) −2762.93 4785.54i −0.187525 0.324803i 0.756900 0.653531i \(-0.226713\pi\)
−0.944424 + 0.328729i \(0.893380\pi\)
\(602\) 25163.0 + 8175.96i 1.70360 + 0.553533i
\(603\) 25047.9 12969.4i 1.69159 0.875879i
\(604\) 3711.35 + 2696.45i 0.250021 + 0.181651i
\(605\) −7947.95 10409.2i −0.534099 0.699496i
\(606\) 12910.2 16939.1i 0.865411 1.13549i
\(607\) −20499.2 11835.2i −1.37074 0.791395i −0.379715 0.925103i \(-0.623978\pi\)
−0.991021 + 0.133708i \(0.957311\pi\)
\(608\) −17219.0 + 1809.79i −1.14856 + 0.120719i
\(609\) −10843.6 15667.7i −0.721521 1.04251i
\(610\) −10079.3 + 7696.00i −0.669012 + 0.510823i
\(611\) 2649.18 8153.33i 0.175408 0.539850i
\(612\) −18132.6 2750.59i −1.19766 0.181676i
\(613\) −3909.65 + 1270.32i −0.257601 + 0.0836995i −0.434970 0.900445i \(-0.643241\pi\)
0.177370 + 0.984144i \(0.443241\pi\)
\(614\) 15624.9 3321.16i 1.02698 0.218292i
\(615\) −2776.15 13004.2i −0.182024 0.852647i
\(616\) −2811.40 597.581i −0.183887 0.0390864i
\(617\) 7044.31 740.387i 0.459632 0.0483093i 0.128117 0.991759i \(-0.459107\pi\)
0.331515 + 0.943450i \(0.392440\pi\)
\(618\) −13271.5 + 14077.1i −0.863851 + 0.916286i
\(619\) 10558.1 + 4700.75i 0.685564 + 0.305233i 0.719800 0.694181i \(-0.244233\pi\)
−0.0342367 + 0.999414i \(0.510900\pi\)
\(620\) 3075.24 2904.40i 0.199201 0.188134i
\(621\) −4578.86 + 16033.4i −0.295883 + 1.03607i
\(622\) 16331.8 22478.8i 1.05281 1.44906i
\(623\) −813.658 3827.96i −0.0523251 0.246170i
\(624\) 10465.2 + 9866.28i 0.671381 + 0.632960i
\(625\) 9304.19 12552.8i 0.595468 0.803379i
\(626\) −6313.66 + 10935.6i −0.403107 + 0.698201i
\(627\) −9672.61 + 15900.6i −0.616088 + 1.01278i
\(628\) 5628.67 + 591.597i 0.357657 + 0.0375912i
\(629\) −22058.0 16026.1i −1.39827 1.01590i
\(630\) −3509.77 + 14891.4i −0.221957 + 0.941724i
\(631\) −7424.94 + 5394.54i −0.468435 + 0.340338i −0.796831 0.604202i \(-0.793492\pi\)
0.328396 + 0.944540i \(0.393492\pi\)
\(632\) −1630.50 + 941.370i −0.102623 + 0.0592495i
\(633\) 21086.5 + 16071.0i 1.32403 + 1.00911i
\(634\) −13615.5 2894.07i −0.852904 0.181290i
\(635\) 769.273 9485.56i 0.0480751 0.592792i
\(636\) 398.740 17399.5i 0.0248602 1.08480i
\(637\) 4877.55 + 4391.77i 0.303384 + 0.273168i
\(638\) −51173.0 + 16627.1i −3.17548 + 1.03178i
\(639\) −19232.7 5018.91i −1.19066 0.310712i
\(640\) −793.659 6141.47i −0.0490190 0.379317i
\(641\) 13994.3 15542.2i 0.862309 0.957691i −0.137151 0.990550i \(-0.543795\pi\)
0.999460 + 0.0328592i \(0.0104613\pi\)
\(642\) −31291.5 + 13081.3i −1.92364 + 0.804171i
\(643\) −915.298 528.448i −0.0561366 0.0324105i 0.471669 0.881776i \(-0.343652\pi\)
−0.527806 + 0.849365i \(0.676985\pi\)
\(644\) −1121.29 10668.4i −0.0686102 0.652783i
\(645\) 24551.3 + 17804.4i 1.49877 + 1.08690i
\(646\) −2854.76 + 27161.2i −0.173869 + 1.65425i
\(647\) 17986.3 24756.0i 1.09291 1.50427i 0.248455 0.968643i \(-0.420077\pi\)
0.844458 0.535622i \(-0.179923\pi\)
\(648\) −3125.26 621.722i −0.189463 0.0376907i
\(649\) 37976.2 2.29691
\(650\) 16598.6 8358.04i 1.00162 0.504353i
\(651\) −2738.39 2581.69i −0.164863 0.155429i
\(652\) 10308.8 9282.07i 0.619207 0.557536i
\(653\) 8436.28 + 18948.2i 0.505570 + 1.13553i 0.968473 + 0.249120i \(0.0801414\pi\)
−0.462902 + 0.886409i \(0.653192\pi\)
\(654\) 14222.1 12227.4i 0.850349 0.731085i
\(655\) −8575.34 + 3013.72i −0.511552 + 0.179780i
\(656\) −13292.6 + 9657.61i −0.791139 + 0.574796i
\(657\) 14599.3 860.809i 0.866930 0.0511162i
\(658\) −6623.25 9116.13i −0.392403 0.540097i
\(659\) −8187.47 + 9093.10i −0.483973 + 0.537507i −0.934833 0.355088i \(-0.884451\pi\)
0.450859 + 0.892595i \(0.351118\pi\)
\(660\) 17289.9 + 9961.94i 1.01971 + 0.587527i
\(661\) −15367.8 17067.7i −0.904295 1.00432i −0.999960 0.00890779i \(-0.997165\pi\)
0.0956653 0.995414i \(-0.469502\pi\)
\(662\) 4832.69 22736.0i 0.283728 1.33483i
\(663\) 16298.2 11280.0i 0.954704 0.660752i
\(664\) 554.167 117.792i 0.0323883 0.00688435i
\(665\) 10342.0 + 1942.27i 0.603075 + 0.113260i
\(666\) 22415.5 + 17910.5i 1.30418 + 1.04207i
\(667\) 19488.5 + 26823.6i 1.13133 + 1.55714i
\(668\) 13698.8 7909.02i 0.793448 0.458097i
\(669\) −3575.67 8553.29i −0.206642 0.494304i
\(670\) −38453.8 + 23438.7i −2.21732 + 1.35152i
\(671\) 13443.8 5985.56i 0.773459 0.344366i
\(672\) 16229.6 3062.86i 0.931653 0.175822i
\(673\) 2093.11 + 9847.33i 0.119887 + 0.564022i 0.996556 + 0.0829279i \(0.0264271\pi\)
−0.876669 + 0.481094i \(0.840240\pi\)
\(674\) 10713.6 0.612274
\(675\) −9087.64 + 14998.7i −0.518198 + 0.855261i
\(676\) −4876.24 −0.277438
\(677\) 5718.79 + 26904.8i 0.324654 + 1.52738i 0.773516 + 0.633776i \(0.218496\pi\)
−0.448862 + 0.893601i \(0.648171\pi\)
\(678\) 18800.0 3547.95i 1.06491 0.200971i
\(679\) 61.5391 27.3990i 0.00347814 0.00154857i
\(680\) −4818.69 390.792i −0.271747 0.0220385i
\(681\) 635.902 + 1521.13i 0.0357824 + 0.0855944i
\(682\) −9203.80 + 5313.82i −0.516762 + 0.298353i
\(683\) 13613.1 + 18736.8i 0.762652 + 1.04970i 0.996989 + 0.0775447i \(0.0247081\pi\)
−0.234337 + 0.972155i \(0.575292\pi\)
\(684\) 1990.84 13124.2i 0.111289 0.733647i
\(685\) −5653.86 + 10354.2i −0.315362 + 0.577539i
\(686\) 25442.4 5407.96i 1.41603 0.300987i
\(687\) −15488.3 + 10719.5i −0.860137 + 0.595303i
\(688\) 7791.27 36655.0i 0.431743 2.03119i
\(689\) 12585.9 + 13978.1i 0.695915 + 0.772892i
\(690\) 5512.02 26045.3i 0.304115 1.43700i
\(691\) −1076.98 + 1196.11i −0.0592912 + 0.0658496i −0.772061 0.635549i \(-0.780774\pi\)
0.712769 + 0.701398i \(0.247441\pi\)
\(692\) −1378.40 1897.21i −0.0757212 0.104221i
\(693\) 7956.59 15871.2i 0.436141 0.869982i
\(694\) 10956.3 7960.24i 0.599275 0.435399i
\(695\) 5761.64 8340.61i 0.314463 0.455219i
\(696\) −4804.55 + 4130.69i −0.261661 + 0.224962i
\(697\) 9209.72 + 20685.4i 0.500492 + 1.12412i
\(698\) 8808.18 7930.92i 0.477642 0.430071i
\(699\) −18246.4 17202.2i −0.987328 0.930827i
\(700\) 1817.98 11134.6i 0.0981616 0.601213i
\(701\) 13804.5 0.743779 0.371890 0.928277i \(-0.378710\pi\)
0.371890 + 0.928277i \(0.378710\pi\)
\(702\) −17676.9 + 11072.2i −0.950389 + 0.595290i
\(703\) 11599.5 15965.3i 0.622309 0.856534i
\(704\) 1872.30 17813.8i 0.100235 0.953668i
\(705\) −4002.19 12280.5i −0.213803 0.656043i
\(706\) −3676.01 34974.9i −0.195961 1.86445i
\(707\) 12101.5 + 6986.81i 0.643740 + 0.371664i
\(708\) −24989.9 + 10447.0i −1.32653 + 0.554549i
\(709\) −5868.41 + 6517.53i −0.310850 + 0.345234i −0.878244 0.478212i \(-0.841285\pi\)
0.567394 + 0.823446i \(0.307952\pi\)
\(710\) 31189.7 + 5857.57i 1.64863 + 0.309620i
\(711\) −3083.32 11213.5i −0.162635 0.591476i
\(712\) −1237.66 + 402.141i −0.0651453 + 0.0211670i
\(713\) 4866.70 + 4382.00i 0.255623 + 0.230164i
\(714\) 596.881 26045.6i 0.0312853 1.36517i
\(715\) −20981.8 + 4984.45i −1.09745 + 0.260710i
\(716\) −7318.96 1555.69i −0.382015 0.0811997i
\(717\) 2585.95 + 1970.88i 0.134692 + 0.102655i
\(718\) 20851.5 12038.6i 1.08380 0.625733i
\(719\) −25843.8 + 18776.6i −1.34049 + 0.973921i −0.341062 + 0.940041i \(0.610787\pi\)
−0.999426 + 0.0338806i \(0.989213\pi\)
\(720\) 21495.6 + 2739.20i 1.11263 + 0.141783i
\(721\) −10269.2 7461.00i −0.530436 0.385385i
\(722\) 6642.29 + 698.132i 0.342383 + 0.0359859i
\(723\) −4876.47 + 8016.34i −0.250841 + 0.412353i
\(724\) 1275.32 2208.91i 0.0654651 0.113389i
\(725\) 12341.4 + 32614.1i 0.632204 + 1.67070i
\(726\) −17076.3 16099.1i −0.872947 0.822992i
\(727\) 2373.58 + 11166.8i 0.121088 + 0.569676i 0.996301 + 0.0859371i \(0.0273884\pi\)
−0.875212 + 0.483739i \(0.839278\pi\)
\(728\) −1302.24 + 1792.37i −0.0662968 + 0.0912497i
\(729\) 8590.41 17709.5i 0.436438 0.899734i
\(730\) −23157.0 + 2992.57i −1.17408 + 0.151726i
\(731\) −47178.3 21005.1i −2.38707 1.06279i
\(732\) −7199.99 + 7637.02i −0.363551 + 0.385618i
\(733\) 15878.0 1668.84i 0.800091 0.0840930i 0.304347 0.952561i \(-0.401562\pi\)
0.495745 + 0.868468i \(0.334895\pi\)
\(734\) 12787.7 + 2718.11i 0.643055 + 0.136686i
\(735\) 9835.33 + 1024.94i 0.493580 + 0.0514359i
\(736\) −28111.3 + 5975.25i −1.40788 + 0.299253i
\(737\) 49701.5 16149.0i 2.48409 0.807131i
\(738\) −8684.38 22189.1i −0.433166 1.10677i
\(739\) −837.678 + 2578.11i −0.0416975 + 0.128332i −0.969738 0.244147i \(-0.921492\pi\)
0.928041 + 0.372479i \(0.121492\pi\)
\(740\) −17408.4 12025.6i −0.864790 0.597392i
\(741\) 8164.34 + 11796.4i 0.404756 + 0.584822i
\(742\) 24587.4 2584.24i 1.21649 0.127858i
\(743\) −23572.5 13609.6i −1.16392 0.671989i −0.211679 0.977339i \(-0.567893\pi\)
−0.952240 + 0.305351i \(0.901226\pi\)
\(744\) −758.607 + 995.352i −0.0373815 + 0.0490476i
\(745\) −17094.9 5108.07i −0.840683 0.251202i
\(746\) −15061.8 10943.1i −0.739214 0.537070i
\(747\) −160.313 + 3495.89i −0.00785215 + 0.171229i
\(748\) −32316.2 10500.2i −1.57968 0.513268i
\(749\) −11126.1 19270.9i −0.542773 0.940111i
\(750\) 12808.2 24898.1i 0.623584 1.21220i
\(751\) 13171.6 22813.8i 0.639997 1.10851i −0.345436 0.938442i \(-0.612269\pi\)
0.985433 0.170065i \(-0.0543978\pi\)
\(752\) −11860.4 + 10679.2i −0.575139 + 0.517857i
\(753\) −8984.89 + 1695.63i −0.434831 + 0.0820615i
\(754\) −4335.33 + 41247.9i −0.209394 + 1.99225i
\(755\) −5430.57 + 5128.89i −0.261773 + 0.247231i
\(756\) −869.724 + 12632.7i −0.0418407 + 0.607735i
\(757\) 622.151i 0.0298712i −0.999888 0.0149356i \(-0.995246\pi\)
0.999888 0.0149356i \(-0.00475432\pi\)
\(758\) 1516.21 3405.47i 0.0726535 0.163182i
\(759\) −13208.8 + 27927.2i −0.631683 + 1.33556i
\(760\) 282.851 3487.71i 0.0135001 0.166464i
\(761\) −895.728 994.806i −0.0426677 0.0473873i 0.721433 0.692484i \(-0.243484\pi\)
−0.764101 + 0.645097i \(0.776817\pi\)
\(762\) −1393.55 16996.5i −0.0662504 0.808031i
\(763\) 9144.86 + 8234.07i 0.433901 + 0.390686i
\(764\) −2008.72 + 6182.20i −0.0951215 + 0.292754i
\(765\) 9851.42 28191.0i 0.465593 1.33235i
\(766\) 10649.4 + 32775.5i 0.502322 + 1.54599i
\(767\) 11906.3 26742.1i 0.560512 1.25893i
\(768\) −7460.45 24887.2i −0.350528 1.16932i
\(769\) 851.635 + 8102.77i 0.0399359 + 0.379965i 0.996175 + 0.0873791i \(0.0278491\pi\)
−0.956239 + 0.292586i \(0.905484\pi\)
\(770\) −10909.8 + 26162.2i −0.510601 + 1.22444i
\(771\) 19846.6 + 6955.18i 0.927055 +