Properties

Label 144.3.w.a.5.11
Level $144$
Weight $3$
Character 144.5
Analytic conductor $3.924$
Analytic rank $0$
Dimension $184$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 144.w (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.92371580679\)
Analytic rank: \(0\)
Dimension: \(184\)
Relative dimension: \(46\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 5.11
Character \(\chi\) \(=\) 144.5
Dual form 144.3.w.a.29.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.58134 + 1.22449i) q^{2} +(1.74774 + 2.43832i) q^{3} +(1.00126 - 3.87266i) q^{4} +(0.973349 + 3.63259i) q^{5} +(-5.74946 - 1.71573i) q^{6} +(11.7048 - 6.75777i) q^{7} +(3.15868 + 7.35002i) q^{8} +(-2.89081 + 8.52310i) q^{9} +O(q^{10})\) \(q+(-1.58134 + 1.22449i) q^{2} +(1.74774 + 2.43832i) q^{3} +(1.00126 - 3.87266i) q^{4} +(0.973349 + 3.63259i) q^{5} +(-5.74946 - 1.71573i) q^{6} +(11.7048 - 6.75777i) q^{7} +(3.15868 + 7.35002i) q^{8} +(-2.89081 + 8.52310i) q^{9} +(-5.98725 - 4.55250i) q^{10} +(4.44465 + 1.19094i) q^{11} +(11.1927 - 4.32699i) q^{12} +(1.01931 + 3.80413i) q^{13} +(-10.2345 + 25.0187i) q^{14} +(-7.15625 + 8.72215i) q^{15} +(-13.9949 - 7.75511i) q^{16} -20.6241i q^{17} +(-5.86507 - 17.0177i) q^{18} +(-19.5324 + 19.5324i) q^{19} +(15.0423 - 0.132265i) q^{20} +(36.9345 + 16.7292i) q^{21} +(-8.48678 + 3.55913i) q^{22} +(-14.7668 + 25.5769i) q^{23} +(-12.4011 + 20.5478i) q^{24} +(9.40236 - 5.42845i) q^{25} +(-6.26998 - 4.76748i) q^{26} +(-25.8344 + 7.84744i) q^{27} +(-14.4509 - 52.0950i) q^{28} +(-5.65607 + 21.1088i) q^{29} +(0.636294 - 22.5554i) q^{30} +(6.01256 - 10.4141i) q^{31} +(31.6268 - 4.87317i) q^{32} +(4.86420 + 12.9189i) q^{33} +(25.2540 + 32.6137i) q^{34} +(35.9410 + 35.9410i) q^{35} +(30.1126 + 19.7290i) q^{36} +(-20.6078 - 20.6078i) q^{37} +(6.97017 - 54.8045i) q^{38} +(-7.49419 + 9.13404i) q^{39} +(-23.6251 + 18.6283i) q^{40} +(21.7630 - 37.6946i) q^{41} +(-78.8907 + 18.7713i) q^{42} +(5.80291 - 21.6568i) q^{43} +(9.06237 - 16.0201i) q^{44} +(-33.7747 - 2.20517i) q^{45} +(-7.96720 - 58.5274i) q^{46} +(9.68895 - 5.59392i) q^{47} +(-5.55008 - 47.6781i) q^{48} +(66.8348 - 115.761i) q^{49} +(-8.22124 + 20.0973i) q^{50} +(50.2882 - 36.0456i) q^{51} +(15.7527 - 0.138511i) q^{52} +(4.73923 - 4.73923i) q^{53} +(31.2439 - 44.0434i) q^{54} +17.3048i q^{55} +(86.6414 + 64.6848i) q^{56} +(-81.7638 - 13.4887i) q^{57} +(-16.9032 - 40.3059i) q^{58} +(-27.0274 - 100.868i) q^{59} +(26.6126 + 36.4469i) q^{60} +(34.9763 + 9.37188i) q^{61} +(3.24399 + 23.8305i) q^{62} +(23.7608 + 119.297i) q^{63} +(-44.0455 + 46.4327i) q^{64} +(-12.8267 + 7.40548i) q^{65} +(-23.5110 - 14.4731i) q^{66} +(17.4252 + 65.0316i) q^{67} +(-79.8702 - 20.6502i) q^{68} +(-88.1731 + 8.69549i) q^{69} +(-100.844 - 12.8256i) q^{70} -109.504 q^{71} +(-71.7761 + 5.67422i) q^{72} +1.77397i q^{73} +(57.8219 + 7.35394i) q^{74} +(29.6692 + 13.4384i) q^{75} +(56.0852 + 95.1994i) q^{76} +(60.0718 - 16.0962i) q^{77} +(0.666342 - 23.6205i) q^{78} +(50.8136 + 88.0118i) q^{79} +(14.5491 - 58.3862i) q^{80} +(-64.2864 - 49.2773i) q^{81} +(11.7419 + 86.2563i) q^{82} +(7.55138 - 28.1822i) q^{83} +(101.768 - 126.284i) q^{84} +(74.9189 - 20.0745i) q^{85} +(17.3421 + 41.3523i) q^{86} +(-61.3552 + 23.1013i) q^{87} +(5.28578 + 36.4300i) q^{88} -16.6625 q^{89} +(56.1094 - 37.8695i) q^{90} +(37.6383 + 37.6383i) q^{91} +(84.2649 + 82.7960i) q^{92} +(35.9012 - 3.54052i) q^{93} +(-8.47184 + 20.7099i) q^{94} +(-89.9650 - 51.9413i) q^{95} +(67.1577 + 68.5992i) q^{96} +(-50.9724 - 88.2869i) q^{97} +(36.0597 + 264.896i) q^{98} +(-22.9991 + 34.4394i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 184q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} - 10q^{6} + O(q^{10}) \) \( 184q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} - 10q^{6} - 8q^{10} - 6q^{11} - 64q^{12} - 2q^{13} - 6q^{14} - 8q^{15} - 2q^{16} + 54q^{18} - 8q^{19} + 120q^{20} - 22q^{21} - 2q^{22} - 160q^{24} + 44q^{27} - 72q^{28} - 6q^{29} - 90q^{30} - 4q^{31} - 6q^{32} - 8q^{33} + 6q^{34} - 202q^{36} - 8q^{37} - 6q^{38} - 2q^{40} + 44q^{42} - 2q^{43} + 46q^{45} - 160q^{46} - 12q^{47} - 118q^{48} + 472q^{49} + 228q^{50} - 48q^{51} - 2q^{52} + 206q^{54} - 300q^{56} - 92q^{58} - 438q^{59} - 90q^{60} - 2q^{61} - 204q^{63} + 244q^{64} - 12q^{65} - 508q^{66} - 2q^{67} - 144q^{68} + 14q^{69} + 96q^{70} + 6q^{72} + 246q^{74} + 152q^{75} - 158q^{76} - 6q^{77} + 304q^{78} - 4q^{79} - 8q^{81} - 388q^{82} - 726q^{83} + 542q^{84} + 48q^{85} + 894q^{86} + 22q^{88} - 528q^{90} - 204q^{91} - 348q^{92} + 62q^{93} - 18q^{94} - 12q^{95} + 262q^{96} - 4q^{97} + 286q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{5}{6}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.58134 + 1.22449i −0.790669 + 0.612243i
\(3\) 1.74774 + 2.43832i 0.582580 + 0.812773i
\(4\) 1.00126 3.87266i 0.250316 0.968164i
\(5\) 0.973349 + 3.63259i 0.194670 + 0.726517i 0.992352 + 0.123440i \(0.0393925\pi\)
−0.797682 + 0.603078i \(0.793941\pi\)
\(6\) −5.74946 1.71573i −0.958243 0.285954i
\(7\) 11.7048 6.75777i 1.67211 0.965395i 0.705661 0.708549i \(-0.250650\pi\)
0.966452 0.256846i \(-0.0826833\pi\)
\(8\) 3.15868 + 7.35002i 0.394835 + 0.918752i
\(9\) −2.89081 + 8.52310i −0.321201 + 0.947011i
\(10\) −5.98725 4.55250i −0.598725 0.455250i
\(11\) 4.44465 + 1.19094i 0.404059 + 0.108267i 0.455124 0.890428i \(-0.349595\pi\)
−0.0510651 + 0.998695i \(0.516262\pi\)
\(12\) 11.1927 4.32699i 0.932727 0.360583i
\(13\) 1.01931 + 3.80413i 0.0784087 + 0.292625i 0.993985 0.109520i \(-0.0349314\pi\)
−0.915576 + 0.402145i \(0.868265\pi\)
\(14\) −10.2345 + 25.0187i −0.731032 + 1.78705i
\(15\) −7.15625 + 8.72215i −0.477083 + 0.581477i
\(16\) −13.9949 7.75511i −0.874684 0.484694i
\(17\) 20.6241i 1.21318i −0.795013 0.606592i \(-0.792536\pi\)
0.795013 0.606592i \(-0.207464\pi\)
\(18\) −5.86507 17.0177i −0.325837 0.945426i
\(19\) −19.5324 + 19.5324i −1.02802 + 1.02802i −0.0284249 + 0.999596i \(0.509049\pi\)
−0.999596 + 0.0284249i \(0.990951\pi\)
\(20\) 15.0423 0.132265i 0.752117 0.00661326i
\(21\) 36.9345 + 16.7292i 1.75879 + 0.796630i
\(22\) −8.48678 + 3.55913i −0.385763 + 0.161779i
\(23\) −14.7668 + 25.5769i −0.642035 + 1.11204i 0.342943 + 0.939356i \(0.388576\pi\)
−0.984978 + 0.172681i \(0.944757\pi\)
\(24\) −12.4011 + 20.5478i −0.516714 + 0.856158i
\(25\) 9.40236 5.42845i 0.376094 0.217138i
\(26\) −6.26998 4.76748i −0.241153 0.183365i
\(27\) −25.8344 + 7.84744i −0.956831 + 0.290646i
\(28\) −14.4509 52.0950i −0.516104 1.86053i
\(29\) −5.65607 + 21.1088i −0.195037 + 0.727888i 0.797220 + 0.603689i \(0.206303\pi\)
−0.992257 + 0.124199i \(0.960364\pi\)
\(30\) 0.636294 22.5554i 0.0212098 0.751847i
\(31\) 6.01256 10.4141i 0.193954 0.335938i −0.752603 0.658474i \(-0.771202\pi\)
0.946557 + 0.322537i \(0.104536\pi\)
\(32\) 31.6268 4.87317i 0.988336 0.152286i
\(33\) 4.86420 + 12.9189i 0.147400 + 0.391483i
\(34\) 25.2540 + 32.6137i 0.742764 + 0.959228i
\(35\) 35.9410 + 35.9410i 1.02689 + 1.02689i
\(36\) 30.1126 + 19.7290i 0.836460 + 0.548028i
\(37\) −20.6078 20.6078i −0.556968 0.556968i 0.371475 0.928443i \(-0.378852\pi\)
−0.928443 + 0.371475i \(0.878852\pi\)
\(38\) 6.97017 54.8045i 0.183426 1.44222i
\(39\) −7.49419 + 9.13404i −0.192159 + 0.234206i
\(40\) −23.6251 + 18.6283i −0.590627 + 0.465708i
\(41\) 21.7630 37.6946i 0.530804 0.919379i −0.468550 0.883437i \(-0.655223\pi\)
0.999354 0.0359424i \(-0.0114433\pi\)
\(42\) −78.8907 + 18.7713i −1.87835 + 0.446935i
\(43\) 5.80291 21.6568i 0.134952 0.503646i −0.865047 0.501692i \(-0.832711\pi\)
0.999998 0.00195433i \(-0.000622083\pi\)
\(44\) 9.06237 16.0201i 0.205963 0.364094i
\(45\) −33.7747 2.20517i −0.750548 0.0490038i
\(46\) −7.96720 58.5274i −0.173200 1.27234i
\(47\) 9.68895 5.59392i 0.206148 0.119020i −0.393372 0.919379i \(-0.628692\pi\)
0.599520 + 0.800360i \(0.295358\pi\)
\(48\) −5.55008 47.6781i −0.115627 0.993293i
\(49\) 66.8348 115.761i 1.36398 2.36248i
\(50\) −8.22124 + 20.0973i −0.164425 + 0.401946i
\(51\) 50.2882 36.0456i 0.986044 0.706777i
\(52\) 15.7527 0.138511i 0.302936 0.00266368i
\(53\) 4.73923 4.73923i 0.0894194 0.0894194i −0.660982 0.750402i \(-0.729860\pi\)
0.750402 + 0.660982i \(0.229860\pi\)
\(54\) 31.2439 44.0434i 0.578591 0.815618i
\(55\) 17.3048i 0.314632i
\(56\) 86.6414 + 64.6848i 1.54717 + 1.15509i
\(57\) −81.7638 13.4887i −1.43445 0.236644i
\(58\) −16.9032 40.3059i −0.291435 0.694929i
\(59\) −27.0274 100.868i −0.458092 1.70962i −0.678836 0.734290i \(-0.737515\pi\)
0.220744 0.975332i \(-0.429152\pi\)
\(60\) 26.6126 + 36.4469i 0.443543 + 0.607448i
\(61\) 34.9763 + 9.37188i 0.573383 + 0.153637i 0.533848 0.845581i \(-0.320746\pi\)
0.0395352 + 0.999218i \(0.487412\pi\)
\(62\) 3.24399 + 23.8305i 0.0523223 + 0.384362i
\(63\) 23.7608 + 119.297i 0.377155 + 1.89360i
\(64\) −44.0455 + 46.4327i −0.688211 + 0.725511i
\(65\) −12.8267 + 7.40548i −0.197333 + 0.113931i
\(66\) −23.5110 14.4731i −0.356227 0.219289i
\(67\) 17.4252 + 65.0316i 0.260077 + 0.970621i 0.965195 + 0.261531i \(0.0842274\pi\)
−0.705118 + 0.709090i \(0.749106\pi\)
\(68\) −79.8702 20.6502i −1.17456 0.303680i
\(69\) −88.1731 + 8.69549i −1.27787 + 0.126022i
\(70\) −100.844 12.8256i −1.44063 0.183223i
\(71\) −109.504 −1.54231 −0.771153 0.636650i \(-0.780320\pi\)
−0.771153 + 0.636650i \(0.780320\pi\)
\(72\) −71.7761 + 5.67422i −0.996890 + 0.0788086i
\(73\) 1.77397i 0.0243010i 0.999926 + 0.0121505i \(0.00386771\pi\)
−0.999926 + 0.0121505i \(0.996132\pi\)
\(74\) 57.8219 + 7.35394i 0.781378 + 0.0993776i
\(75\) 29.6692 + 13.4384i 0.395589 + 0.179179i
\(76\) 56.0852 + 95.1994i 0.737963 + 1.25262i
\(77\) 60.0718 16.0962i 0.780153 0.209041i
\(78\) 0.666342 23.6205i 0.00854284 0.302827i
\(79\) 50.8136 + 88.0118i 0.643211 + 1.11407i 0.984712 + 0.174192i \(0.0557314\pi\)
−0.341501 + 0.939881i \(0.610935\pi\)
\(80\) 14.5491 58.3862i 0.181864 0.729828i
\(81\) −64.2864 49.2773i −0.793660 0.608362i
\(82\) 11.7419 + 86.2563i 0.143194 + 1.05191i
\(83\) 7.55138 28.1822i 0.0909805 0.339544i −0.905399 0.424562i \(-0.860428\pi\)
0.996379 + 0.0850180i \(0.0270948\pi\)
\(84\) 101.768 126.284i 1.21152 1.50339i
\(85\) 74.9189 20.0745i 0.881399 0.236170i
\(86\) 17.3421 + 41.3523i 0.201652 + 0.480841i
\(87\) −61.3552 + 23.1013i −0.705233 + 0.265532i
\(88\) 5.28578 + 36.4300i 0.0600657 + 0.413978i
\(89\) −16.6625 −0.187219 −0.0936096 0.995609i \(-0.529841\pi\)
−0.0936096 + 0.995609i \(0.529841\pi\)
\(90\) 56.1094 37.8695i 0.623438 0.420772i
\(91\) 37.6383 + 37.6383i 0.413607 + 0.413607i
\(92\) 84.2649 + 82.7960i 0.915923 + 0.899956i
\(93\) 35.9012 3.54052i 0.386035 0.0380701i
\(94\) −8.47184 + 20.7099i −0.0901259 + 0.220318i
\(95\) −89.9650 51.9413i −0.946999 0.546750i
\(96\) 67.1577 + 68.5992i 0.699559 + 0.714575i
\(97\) −50.9724 88.2869i −0.525489 0.910174i −0.999559 0.0296868i \(-0.990549\pi\)
0.474070 0.880487i \(-0.342784\pi\)
\(98\) 36.0597 + 264.896i 0.367956 + 2.70302i
\(99\) −22.9991 + 34.4394i −0.232314 + 0.347873i
\(100\) −11.6083 41.8474i −0.116083 0.418474i
\(101\) 4.01449 + 1.07568i 0.0397474 + 0.0106503i 0.278638 0.960396i \(-0.410117\pi\)
−0.238891 + 0.971047i \(0.576784\pi\)
\(102\) −35.3854 + 118.578i −0.346915 + 1.16253i
\(103\) 61.7836 + 35.6708i 0.599840 + 0.346318i 0.768979 0.639274i \(-0.220765\pi\)
−0.169138 + 0.985592i \(0.554098\pi\)
\(104\) −24.7407 + 19.5080i −0.237892 + 0.187577i
\(105\) −24.8202 + 150.451i −0.236382 + 1.43287i
\(106\) −1.69120 + 13.2974i −0.0159547 + 0.125448i
\(107\) 1.62993 1.62993i 0.0152330 0.0152330i −0.699449 0.714682i \(-0.746571\pi\)
0.714682 + 0.699449i \(0.246571\pi\)
\(108\) 4.52334 + 107.905i 0.0418827 + 0.999123i
\(109\) 89.4775 89.4775i 0.820895 0.820895i −0.165342 0.986236i \(-0.552873\pi\)
0.986236 + 0.165342i \(0.0528727\pi\)
\(110\) −21.1895 27.3647i −0.192631 0.248770i
\(111\) 14.2314 86.2656i 0.128210 0.777167i
\(112\) −216.215 + 3.80259i −1.93049 + 0.0339517i
\(113\) −72.2417 41.7088i −0.639307 0.369104i 0.145040 0.989426i \(-0.453669\pi\)
−0.784348 + 0.620322i \(0.787002\pi\)
\(114\) 145.813 78.7885i 1.27906 0.691127i
\(115\) −107.283 28.7465i −0.932899 0.249970i
\(116\) 76.0837 + 43.0395i 0.655894 + 0.371030i
\(117\) −35.3696 2.30931i −0.302304 0.0197377i
\(118\) 166.251 + 126.411i 1.40890 + 1.07128i
\(119\) −139.373 241.401i −1.17120 2.02858i
\(120\) −86.7123 25.0481i −0.722602 0.208734i
\(121\) −86.4525 49.9134i −0.714484 0.412507i
\(122\) −66.7852 + 28.0079i −0.547420 + 0.229573i
\(123\) 129.947 12.8152i 1.05648 0.104189i
\(124\) −34.3099 33.7118i −0.276693 0.271870i
\(125\) 95.3520 + 95.3520i 0.762816 + 0.762816i
\(126\) −183.651 159.554i −1.45755 1.26630i
\(127\) −214.074 −1.68562 −0.842812 0.538209i \(-0.819101\pi\)
−0.842812 + 0.538209i \(0.819101\pi\)
\(128\) 12.7947 127.359i 0.0999583 0.994992i
\(129\) 62.9481 23.7010i 0.487970 0.183729i
\(130\) 11.2154 27.4167i 0.0862723 0.210897i
\(131\) −81.6894 + 21.8886i −0.623583 + 0.167089i −0.556756 0.830676i \(-0.687954\pi\)
−0.0668271 + 0.997765i \(0.521288\pi\)
\(132\) 54.9009 5.90210i 0.415916 0.0447128i
\(133\) −96.6273 + 360.618i −0.726521 + 2.71141i
\(134\) −107.185 81.5001i −0.799891 0.608210i
\(135\) −53.6524 86.2075i −0.397425 0.638574i
\(136\) 151.588 65.1450i 1.11462 0.479007i
\(137\) 19.0299 + 32.9607i 0.138904 + 0.240589i 0.927082 0.374858i \(-0.122309\pi\)
−0.788178 + 0.615448i \(0.788975\pi\)
\(138\) 128.784 121.717i 0.933217 0.882009i
\(139\) 102.203 27.3851i 0.735270 0.197015i 0.128295 0.991736i \(-0.459049\pi\)
0.606975 + 0.794721i \(0.292383\pi\)
\(140\) 175.174 103.201i 1.25124 0.737148i
\(141\) 30.5735 + 13.8481i 0.216834 + 0.0982131i
\(142\) 173.162 134.086i 1.21945 0.944267i
\(143\) 18.1219i 0.126727i
\(144\) 106.554 96.8617i 0.739960 0.672651i
\(145\) −82.1847 −0.566791
\(146\) −2.17220 2.80525i −0.0148781 0.0192140i
\(147\) 399.073 39.3560i 2.71478 0.267728i
\(148\) −100.441 + 59.1731i −0.678655 + 0.399818i
\(149\) −35.0518 130.815i −0.235247 0.877954i −0.978037 0.208430i \(-0.933165\pi\)
0.742790 0.669524i \(-0.233502\pi\)
\(150\) −63.3722 + 15.0788i −0.422481 + 0.100525i
\(151\) 50.9751 29.4305i 0.337584 0.194904i −0.321619 0.946869i \(-0.604227\pi\)
0.659203 + 0.751965i \(0.270894\pi\)
\(152\) −205.260 81.8669i −1.35039 0.538598i
\(153\) 175.782 + 59.6205i 1.14890 + 0.389676i
\(154\) −75.2843 + 99.0106i −0.488859 + 0.642926i
\(155\) 43.6823 + 11.7046i 0.281821 + 0.0755138i
\(156\) 27.8693 + 38.1680i 0.178650 + 0.244667i
\(157\) −15.6898 58.5552i −0.0999351 0.372963i 0.897786 0.440431i \(-0.145174\pi\)
−0.997721 + 0.0674685i \(0.978508\pi\)
\(158\) −188.123 76.9559i −1.19065 0.487062i
\(159\) 19.8387 + 3.27282i 0.124772 + 0.0205838i
\(160\) 48.4861 + 110.144i 0.303038 + 0.688398i
\(161\) 399.162i 2.47927i
\(162\) 161.998 0.793728i 0.999988 0.00489956i
\(163\) 30.8635 30.8635i 0.189347 0.189347i −0.606067 0.795414i \(-0.707254\pi\)
0.795414 + 0.606067i \(0.207254\pi\)
\(164\) −124.188 122.023i −0.757241 0.744041i
\(165\) −42.1946 + 30.2442i −0.255725 + 0.183298i
\(166\) 22.5674 + 53.8121i 0.135948 + 0.324169i
\(167\) −77.9544 + 135.021i −0.466793 + 0.808509i −0.999280 0.0379291i \(-0.987924\pi\)
0.532488 + 0.846438i \(0.321257\pi\)
\(168\) −6.29573 + 324.312i −0.0374746 + 1.93043i
\(169\) 132.926 76.7448i 0.786544 0.454111i
\(170\) −93.8913 + 123.482i −0.552302 + 0.726363i
\(171\) −110.012 222.941i −0.643346 1.30375i
\(172\) −78.0590 44.1569i −0.453831 0.256726i
\(173\) −16.8894 + 63.0320i −0.0976264 + 0.364347i −0.997405 0.0720009i \(-0.977062\pi\)
0.899778 + 0.436348i \(0.143728\pi\)
\(174\) 68.7362 111.660i 0.395036 0.641722i
\(175\) 73.3685 127.078i 0.419248 0.726159i
\(176\) −52.9667 51.1358i −0.300947 0.290545i
\(177\) 198.711 242.192i 1.12266 1.36832i
\(178\) 26.3491 20.4030i 0.148029 0.114624i
\(179\) −139.299 139.299i −0.778205 0.778205i 0.201320 0.979525i \(-0.435477\pi\)
−0.979525 + 0.201320i \(0.935477\pi\)
\(180\) −42.3572 + 128.590i −0.235318 + 0.714387i
\(181\) 24.6459 + 24.6459i 0.136165 + 0.136165i 0.771904 0.635739i \(-0.219305\pi\)
−0.635739 + 0.771904i \(0.719305\pi\)
\(182\) −105.606 13.4313i −0.580255 0.0737983i
\(183\) 38.2779 + 101.663i 0.209169 + 0.555536i
\(184\) −234.634 27.7472i −1.27518 0.150800i
\(185\) 54.8011 94.9183i 0.296222 0.513072i
\(186\) −52.4367 + 49.5593i −0.281918 + 0.266448i
\(187\) 24.5621 91.6670i 0.131348 0.490198i
\(188\) −11.9621 43.1230i −0.0636283 0.229378i
\(189\) −249.356 + 266.436i −1.31934 + 1.40971i
\(190\) 205.866 28.0241i 1.08351 0.147495i
\(191\) 270.171 155.983i 1.41451 0.816667i 0.418700 0.908125i \(-0.362486\pi\)
0.995809 + 0.0914579i \(0.0291527\pi\)
\(192\) −190.198 26.2448i −0.990614 0.136692i
\(193\) −14.3907 + 24.9255i −0.0745633 + 0.129147i −0.900896 0.434034i \(-0.857090\pi\)
0.826333 + 0.563182i \(0.190423\pi\)
\(194\) 188.711 + 77.1964i 0.972736 + 0.397919i
\(195\) −40.4746 18.3327i −0.207562 0.0940138i
\(196\) −381.384 374.736i −1.94584 1.91192i
\(197\) 111.287 111.287i 0.564908 0.564908i −0.365790 0.930697i \(-0.619201\pi\)
0.930697 + 0.365790i \(0.119201\pi\)
\(198\) −5.80116 82.6225i −0.0292988 0.417285i
\(199\) 292.825i 1.47148i 0.677262 + 0.735742i \(0.263166\pi\)
−0.677262 + 0.735742i \(0.736834\pi\)
\(200\) 69.5983 + 51.9608i 0.347991 + 0.259804i
\(201\) −128.113 + 156.146i −0.637379 + 0.776848i
\(202\) −7.66543 + 3.21468i −0.0379477 + 0.0159142i
\(203\) 76.4448 + 285.296i 0.376576 + 1.40540i
\(204\) −89.2405 230.840i −0.437453 1.13157i
\(205\) 158.112 + 42.3659i 0.771277 + 0.206663i
\(206\) −141.379 + 19.2456i −0.686306 + 0.0934253i
\(207\) −175.306 199.797i −0.846889 0.965202i
\(208\) 15.2362 61.1434i 0.0732509 0.293959i
\(209\) −110.077 + 63.5527i −0.526682 + 0.304080i
\(210\) −144.977 268.306i −0.690364 1.27765i
\(211\) 21.5248 + 80.3317i 0.102013 + 0.380719i 0.997989 0.0633836i \(-0.0201892\pi\)
−0.895976 + 0.444103i \(0.853523\pi\)
\(212\) −13.6082 23.0986i −0.0641895 0.108956i
\(213\) −191.384 267.005i −0.898517 1.25355i
\(214\) −0.581644 + 4.57330i −0.00271796 + 0.0213706i
\(215\) 84.3184 0.392178
\(216\) −139.281 165.096i −0.644822 0.764333i
\(217\) 162.526i 0.748968i
\(218\) −31.9302 + 251.058i −0.146469 + 1.15164i
\(219\) −4.32551 + 3.10044i −0.0197512 + 0.0141573i
\(220\) 67.0154 + 17.3266i 0.304616 + 0.0787575i
\(221\) 78.4568 21.0224i 0.355008 0.0951242i
\(222\) 83.1264 + 153.841i 0.374443 + 0.692978i
\(223\) 195.738 + 339.028i 0.877747 + 1.52030i 0.853807 + 0.520590i \(0.174288\pi\)
0.0239405 + 0.999713i \(0.492379\pi\)
\(224\) 337.253 270.766i 1.50559 1.20878i
\(225\) 19.0868 + 95.8299i 0.0848303 + 0.425910i
\(226\) 165.310 22.5033i 0.731462 0.0995722i
\(227\) −84.9324 + 316.972i −0.374152 + 1.39635i 0.480428 + 0.877034i \(0.340481\pi\)
−0.854580 + 0.519319i \(0.826185\pi\)
\(228\) −134.104 + 303.137i −0.588176 + 1.32955i
\(229\) −189.159 + 50.6851i −0.826024 + 0.221332i −0.646978 0.762508i \(-0.723968\pi\)
−0.179045 + 0.983841i \(0.557301\pi\)
\(230\) 204.851 85.9091i 0.890657 0.373518i
\(231\) 144.237 + 118.342i 0.624405 + 0.512304i
\(232\) −173.015 + 25.1035i −0.745756 + 0.108205i
\(233\) −249.656 −1.07149 −0.535743 0.844381i \(-0.679969\pi\)
−0.535743 + 0.844381i \(0.679969\pi\)
\(234\) 58.7590 39.6578i 0.251107 0.169478i
\(235\) 29.7511 + 29.7511i 0.126601 + 0.126601i
\(236\) −417.688 + 3.67267i −1.76986 + 0.0155622i
\(237\) −125.792 + 277.722i −0.530768 + 1.17182i
\(238\) 515.989 + 211.077i 2.16802 + 0.886877i
\(239\) 81.4073 + 47.0005i 0.340616 + 0.196655i 0.660545 0.750787i \(-0.270325\pi\)
−0.319928 + 0.947442i \(0.603659\pi\)
\(240\) 167.792 66.5685i 0.699135 0.277369i
\(241\) −5.26911 9.12637i −0.0218635 0.0378688i 0.854887 0.518815i \(-0.173627\pi\)
−0.876750 + 0.480946i \(0.840293\pi\)
\(242\) 197.829 26.9300i 0.817475 0.111281i
\(243\) 7.79795 242.875i 0.0320903 0.999485i
\(244\) 71.3147 126.068i 0.292273 0.516671i
\(245\) 485.567 + 130.107i 1.98190 + 0.531050i
\(246\) −189.799 + 179.384i −0.771540 + 0.729204i
\(247\) −94.2134 54.3941i −0.381431 0.220219i
\(248\) 95.5353 + 11.2978i 0.385223 + 0.0455555i
\(249\) 81.9150 30.8424i 0.328976 0.123865i
\(250\) −267.541 34.0266i −1.07016 0.136106i
\(251\) 247.621 247.621i 0.986537 0.986537i −0.0133735 0.999911i \(-0.504257\pi\)
0.999911 + 0.0133735i \(0.00425705\pi\)
\(252\) 485.785 + 27.4301i 1.92772 + 0.108850i
\(253\) −96.0937 + 96.0937i −0.379817 + 0.379817i
\(254\) 338.524 262.131i 1.33277 1.03201i
\(255\) 179.887 + 147.591i 0.705438 + 0.578790i
\(256\) 135.717 + 217.064i 0.530143 + 0.847908i
\(257\) −34.5621 19.9544i −0.134483 0.0776437i 0.431249 0.902233i \(-0.358073\pi\)
−0.565732 + 0.824589i \(0.691406\pi\)
\(258\) −70.5207 + 114.559i −0.273336 + 0.444025i
\(259\) −380.473 101.947i −1.46901 0.393620i
\(260\) 15.8360 + 57.0882i 0.0609077 + 0.219570i
\(261\) −163.561 109.229i −0.626672 0.418501i
\(262\) 102.376 134.641i 0.390749 0.513897i
\(263\) −81.6012 141.337i −0.310271 0.537405i 0.668150 0.744026i \(-0.267086\pi\)
−0.978421 + 0.206622i \(0.933753\pi\)
\(264\) −79.5899 + 76.5586i −0.301477 + 0.289995i
\(265\) 21.8286 + 12.6027i 0.0823720 + 0.0475575i
\(266\) −288.772 688.578i −1.08561 2.58864i
\(267\) −29.1217 40.6286i −0.109070 0.152167i
\(268\) 269.292 2.36785i 1.00482 0.00883526i
\(269\) 23.5517 + 23.5517i 0.0875528 + 0.0875528i 0.749527 0.661974i \(-0.230281\pi\)
−0.661974 + 0.749527i \(0.730281\pi\)
\(270\) 190.403 + 70.6266i 0.705195 + 0.261580i
\(271\) −123.822 −0.456906 −0.228453 0.973555i \(-0.573367\pi\)
−0.228453 + 0.973555i \(0.573367\pi\)
\(272\) −159.942 + 288.633i −0.588023 + 1.06115i
\(273\) −25.9922 + 157.556i −0.0952097 + 0.577128i
\(274\) −70.4527 28.8202i −0.257127 0.105183i
\(275\) 48.2551 12.9299i 0.175473 0.0470179i
\(276\) −54.6099 + 350.171i −0.197862 + 1.26873i
\(277\) 55.3217 206.463i 0.199717 0.745355i −0.791278 0.611457i \(-0.790584\pi\)
0.990995 0.133898i \(-0.0427494\pi\)
\(278\) −128.084 + 168.451i −0.460735 + 0.605938i
\(279\) 71.3789 + 81.3508i 0.255838 + 0.291580i
\(280\) −150.641 + 377.693i −0.538004 + 1.34890i
\(281\) 125.471 + 217.323i 0.446517 + 0.773390i 0.998157 0.0606924i \(-0.0193309\pi\)
−0.551639 + 0.834083i \(0.685998\pi\)
\(282\) −65.3039 + 15.5384i −0.231574 + 0.0551008i
\(283\) −453.028 + 121.388i −1.60080 + 0.428934i −0.945285 0.326244i \(-0.894217\pi\)
−0.655519 + 0.755179i \(0.727550\pi\)
\(284\) −109.642 + 424.070i −0.386064 + 1.49321i
\(285\) −30.5858 310.143i −0.107319 1.08822i
\(286\) −22.1901 28.6569i −0.0775877 0.100199i
\(287\) 588.276i 2.04974i
\(288\) −49.8925 + 283.645i −0.173238 + 0.984880i
\(289\) −136.355 −0.471816
\(290\) 129.962 100.634i 0.448144 0.347014i
\(291\) 126.185 278.590i 0.433626 0.957353i
\(292\) 6.86998 + 1.77621i 0.0235273 + 0.00608292i
\(293\) 114.747 + 428.241i 0.391628 + 1.46157i 0.827449 + 0.561541i \(0.189791\pi\)
−0.435821 + 0.900033i \(0.643542\pi\)
\(294\) −582.879 + 550.895i −1.98258 + 1.87379i
\(295\) 340.104 196.359i 1.15289 0.665623i
\(296\) 86.3743 216.561i 0.291805 0.731626i
\(297\) −124.171 + 4.11185i −0.418083 + 0.0138446i
\(298\) 215.610 + 163.943i 0.723524 + 0.550143i
\(299\) −112.350 30.1040i −0.375751 0.100682i
\(300\) 81.7491 101.443i 0.272497 0.338144i
\(301\) −78.4295 292.703i −0.260563 0.972435i
\(302\) −44.5717 + 108.958i −0.147588 + 0.360788i
\(303\) 4.39343 + 11.6686i 0.0144998 + 0.0385103i
\(304\) 424.831 121.879i 1.39747 0.400917i
\(305\) 136.177i 0.446481i
\(306\) −350.975 + 120.962i −1.14698 + 0.395301i
\(307\) −366.566 + 366.566i −1.19403 + 1.19403i −0.218099 + 0.975927i \(0.569986\pi\)
−0.975927 + 0.218099i \(0.930014\pi\)
\(308\) −2.18726 248.754i −0.00710149 0.807643i
\(309\) 21.0049 + 212.991i 0.0679769 + 0.689292i
\(310\) −83.4087 + 34.9794i −0.269060 + 0.112837i
\(311\) −64.2261 + 111.243i −0.206515 + 0.357694i −0.950614 0.310375i \(-0.899546\pi\)
0.744099 + 0.668069i \(0.232879\pi\)
\(312\) −90.8071 26.2309i −0.291048 0.0840735i
\(313\) 13.8067 7.97130i 0.0441108 0.0254674i −0.477782 0.878478i \(-0.658559\pi\)
0.521893 + 0.853011i \(0.325226\pi\)
\(314\) 96.5109 + 73.3836i 0.307360 + 0.233706i
\(315\) −410.228 + 202.430i −1.30231 + 0.642636i
\(316\) 391.717 108.661i 1.23961 0.343863i
\(317\) 33.4134 124.701i 0.105405 0.393377i −0.892986 0.450085i \(-0.851394\pi\)
0.998391 + 0.0567078i \(0.0180604\pi\)
\(318\) −35.3792 + 19.1168i −0.111255 + 0.0601157i
\(319\) −50.2785 + 87.0849i −0.157613 + 0.272993i
\(320\) −211.542 114.804i −0.661070 0.358762i
\(321\) 6.82299 + 1.12560i 0.0212554 + 0.00350654i
\(322\) −488.769 631.211i −1.51792 1.96028i
\(323\) 402.839 + 402.839i 1.24718 + 1.24718i
\(324\) −255.202 + 199.620i −0.787660 + 0.616110i
\(325\) 30.2345 + 30.2345i 0.0930292 + 0.0930292i
\(326\) −11.0137 + 86.5976i −0.0337844 + 0.265637i
\(327\) 374.558 + 61.7914i 1.14544 + 0.188965i
\(328\) 345.798 + 40.8932i 1.05426 + 0.124674i
\(329\) 75.6048 130.951i 0.229802 0.398028i
\(330\) 29.6902 99.4930i 0.0899704 0.301494i
\(331\) −138.432 + 516.635i −0.418223 + 1.56083i 0.360067 + 0.932926i \(0.382754\pi\)
−0.778291 + 0.627904i \(0.783913\pi\)
\(332\) −101.579 57.4617i −0.305960 0.173077i
\(333\) 235.216 116.069i 0.706354 0.348556i
\(334\) −42.0591 308.968i −0.125925 0.925054i
\(335\) −219.272 + 126.597i −0.654544 + 0.377901i
\(336\) −387.160 520.556i −1.15226 1.54927i
\(337\) 164.770 285.389i 0.488931 0.846853i −0.510988 0.859588i \(-0.670720\pi\)
0.999919 + 0.0127349i \(0.00405375\pi\)
\(338\) −116.228 + 284.126i −0.343869 + 0.840608i
\(339\) −24.5604 249.045i −0.0724495 0.734645i
\(340\) −2.72786 310.235i −0.00802311 0.912456i
\(341\) 39.1262 39.1262i 0.114740 0.114740i
\(342\) 446.955 + 217.837i 1.30689 + 0.636950i
\(343\) 1144.36i 3.33631i
\(344\) 177.507 25.7553i 0.516009 0.0748699i
\(345\) −117.410 311.833i −0.340320 0.903863i
\(346\) −50.4740 120.356i −0.145879 0.347849i
\(347\) 72.4227 + 270.285i 0.208711 + 0.778920i 0.988286 + 0.152611i \(0.0487683\pi\)
−0.779575 + 0.626309i \(0.784565\pi\)
\(348\) 28.0305 + 260.738i 0.0805475 + 0.749248i
\(349\) −106.046 28.4151i −0.303858 0.0814185i 0.103668 0.994612i \(-0.466942\pi\)
−0.407526 + 0.913193i \(0.633609\pi\)
\(350\) 39.5848 + 290.792i 0.113099 + 0.830834i
\(351\) −56.1860 90.2785i −0.160074 0.257204i
\(352\) 146.373 + 16.0061i 0.415834 + 0.0454718i
\(353\) 197.951 114.287i 0.560768 0.323759i −0.192686 0.981261i \(-0.561720\pi\)
0.753454 + 0.657501i \(0.228386\pi\)
\(354\) −17.6683 + 626.306i −0.0499104 + 1.76923i
\(355\) −106.585 397.782i −0.300240 1.12051i
\(356\) −16.6836 + 64.5282i −0.0468640 + 0.181259i
\(357\) 345.026 761.743i 0.966458 2.13373i
\(358\) 390.848 + 49.7090i 1.09175 + 0.138852i
\(359\) −238.232 −0.663599 −0.331800 0.943350i \(-0.607656\pi\)
−0.331800 + 0.943350i \(0.607656\pi\)
\(360\) −90.4752 255.210i −0.251320 0.708916i
\(361\) 402.029i 1.11365i
\(362\) −69.1521 8.79494i −0.191028 0.0242954i
\(363\) −29.3917 298.035i −0.0809689 0.821032i
\(364\) 183.446 108.074i 0.503972 0.296907i
\(365\) −6.44410 + 1.72669i −0.0176551 + 0.00473066i
\(366\) −185.016 113.893i −0.505507 0.311183i
\(367\) 84.0822 + 145.635i 0.229107 + 0.396825i 0.957544 0.288288i \(-0.0930861\pi\)
−0.728437 + 0.685113i \(0.759753\pi\)
\(368\) 405.012 243.428i 1.10058 0.661490i
\(369\) 258.362 + 294.456i 0.700168 + 0.797983i
\(370\) 29.5671 + 217.201i 0.0799110 + 0.587030i
\(371\) 23.4451 87.4983i 0.0631943 0.235844i
\(372\) 22.2354 142.578i 0.0597726 0.383275i
\(373\) −588.110 + 157.584i −1.57670 + 0.422476i −0.937903 0.346897i \(-0.887236\pi\)
−0.638800 + 0.769373i \(0.720569\pi\)
\(374\) 73.4040 + 175.033i 0.196267 + 0.468001i
\(375\) −65.8482 + 399.149i −0.175595 + 1.06440i
\(376\) 71.7197 + 53.5446i 0.190744 + 0.142406i
\(377\) −86.0657 −0.228291
\(378\) 68.0686 726.658i 0.180076 1.92237i
\(379\) −319.529 319.529i −0.843085 0.843085i 0.146174 0.989259i \(-0.453304\pi\)
−0.989259 + 0.146174i \(0.953304\pi\)
\(380\) −291.229 + 296.396i −0.766393 + 0.779991i
\(381\) −374.146 521.981i −0.982010 1.37003i
\(382\) −236.233 + 577.484i −0.618410 + 1.51174i
\(383\) 222.545 + 128.486i 0.581057 + 0.335473i 0.761553 0.648102i \(-0.224437\pi\)
−0.180496 + 0.983576i \(0.557770\pi\)
\(384\) 332.904 191.393i 0.866936 0.498419i
\(385\) 116.942 + 202.549i 0.303744 + 0.526101i
\(386\) −7.76429 57.0369i −0.0201147 0.147764i
\(387\) 167.808 + 112.064i 0.433612 + 0.289572i
\(388\) −392.942 + 109.000i −1.01274 + 0.280929i
\(389\) 227.866 + 61.0564i 0.585773 + 0.156957i 0.539521 0.841972i \(-0.318606\pi\)
0.0462523 + 0.998930i \(0.485272\pi\)
\(390\) 86.4522 20.5705i 0.221672 0.0527448i
\(391\) 527.500 + 304.553i 1.34911 + 0.778907i
\(392\) 1061.96 + 125.584i 2.70907 + 0.320368i
\(393\) −196.143 160.929i −0.499092 0.409489i
\(394\) −39.7129 + 312.251i −0.100794 + 0.792516i
\(395\) −270.251 + 270.251i −0.684180 + 0.684180i
\(396\) 110.344 + 123.551i 0.278646 + 0.311997i
\(397\) −171.165 + 171.165i −0.431147 + 0.431147i −0.889018 0.457872i \(-0.848612\pi\)
0.457872 + 0.889018i \(0.348612\pi\)
\(398\) −358.561 463.056i −0.900906 1.16346i
\(399\) −1048.18 + 394.658i −2.62702 + 0.989118i
\(400\) −173.684 + 3.05459i −0.434209 + 0.00763647i
\(401\) 168.624 + 97.3550i 0.420508 + 0.242781i 0.695295 0.718725i \(-0.255274\pi\)
−0.274786 + 0.961505i \(0.588607\pi\)
\(402\) 11.3911 403.793i 0.0283361 1.00446i
\(403\) 45.7451 + 12.2574i 0.113511 + 0.0304153i
\(404\) 8.18530 14.4697i 0.0202607 0.0358161i
\(405\) 116.431 281.490i 0.287484 0.695037i
\(406\) −470.226 357.544i −1.15819 0.880650i
\(407\) −67.0518 116.137i −0.164746 0.285349i
\(408\) 423.780 + 255.763i 1.03868 + 0.626870i
\(409\) 591.992 + 341.787i 1.44741 + 0.835664i 0.998327 0.0578248i \(-0.0184165\pi\)
0.449086 + 0.893489i \(0.351750\pi\)
\(410\) −301.905 + 126.611i −0.736353 + 0.308807i
\(411\) −47.1095 + 104.008i −0.114622 + 0.253060i
\(412\) 200.002 203.551i 0.485442 0.494055i
\(413\) −997.991 997.991i −2.41644 2.41644i
\(414\) 521.867 + 101.286i 1.26055 + 0.244653i
\(415\) 109.724 0.264396
\(416\) 50.7757 + 115.345i 0.122057 + 0.277272i
\(417\) 245.397 + 201.341i 0.588482 + 0.482831i
\(418\) 96.2488 235.286i 0.230260 0.562884i
\(419\) 32.3925 8.67955i 0.0773091 0.0207149i −0.219957 0.975510i \(-0.570592\pi\)
0.297266 + 0.954795i \(0.403925\pi\)
\(420\) 557.795 + 246.761i 1.32808 + 0.587527i
\(421\) −8.51544 + 31.7801i −0.0202267 + 0.0754871i −0.975301 0.220878i \(-0.929108\pi\)
0.955075 + 0.296365i \(0.0957745\pi\)
\(422\) −132.403 100.675i −0.313752 0.238566i
\(423\) 19.6686 + 98.7509i 0.0464979 + 0.233454i
\(424\) 49.8031 + 19.8637i 0.117460 + 0.0468484i
\(425\) −111.957 193.915i −0.263429 0.456272i
\(426\) 629.587 + 187.878i 1.47790 + 0.441029i
\(427\) 472.724 126.666i 1.10708 0.296642i
\(428\) −4.68017 7.94416i −0.0109350 0.0185611i
\(429\) −44.1871 + 31.6724i −0.103000 + 0.0738285i
\(430\) −133.336 + 103.247i −0.310083 + 0.240109i
\(431\) 384.112i 0.891212i 0.895229 + 0.445606i \(0.147012\pi\)
−0.895229 + 0.445606i \(0.852988\pi\)
\(432\) 422.409 + 90.5243i 0.977799 + 0.209547i
\(433\) −306.958 −0.708909 −0.354454 0.935073i \(-0.615333\pi\)
−0.354454 + 0.935073i \(0.615333\pi\)
\(434\) 199.011 + 257.009i 0.458551 + 0.592186i
\(435\) −143.637 200.393i −0.330201 0.460673i
\(436\) −256.925 436.106i −0.589278 1.00024i
\(437\) −211.146 788.008i −0.483172 1.80322i
\(438\) 3.04365 10.1994i 0.00694897 0.0232862i
\(439\) 230.796 133.250i 0.525730 0.303531i −0.213546 0.976933i \(-0.568501\pi\)
0.739276 + 0.673402i \(0.235168\pi\)
\(440\) −127.190 + 54.6602i −0.289069 + 0.124228i
\(441\) 793.438 + 904.284i 1.79918 + 2.05053i
\(442\) −98.3251 + 129.313i −0.222455 + 0.292563i
\(443\) −225.626 60.4564i −0.509315 0.136470i −0.00499498 0.999988i \(-0.501590\pi\)
−0.504320 + 0.863517i \(0.668257\pi\)
\(444\) −319.828 141.488i −0.720332 0.318666i
\(445\) −16.2184 60.5280i −0.0364459 0.136018i
\(446\) −724.662 296.439i −1.62480 0.664662i
\(447\) 257.708 314.098i 0.576527 0.702681i
\(448\) −201.762 + 841.134i −0.450362 + 1.87753i
\(449\) 129.607i 0.288658i −0.989530 0.144329i \(-0.953898\pi\)
0.989530 0.144329i \(-0.0461024\pi\)
\(450\) −147.525 128.168i −0.327834 0.284818i
\(451\) 141.621 141.621i 0.314015 0.314015i
\(452\) −233.857 + 238.006i −0.517382 + 0.526562i
\(453\) 160.852 + 72.8568i 0.355082 + 0.160832i
\(454\) −253.821 605.239i −0.559078 1.33313i
\(455\) −100.089 + 173.359i −0.219976 + 0.381010i
\(456\) −159.123 643.572i −0.348955 1.41134i
\(457\) −752.040 + 434.191i −1.64560 + 0.950089i −0.666811 + 0.745227i \(0.732341\pi\)
−0.978791 + 0.204862i \(0.934325\pi\)
\(458\) 237.062 311.774i 0.517602 0.680728i
\(459\) 161.847 + 532.813i 0.352607 + 1.16081i
\(460\) −218.744 + 386.689i −0.475531 + 0.840628i
\(461\) −109.077 + 407.080i −0.236609 + 0.883036i 0.740808 + 0.671717i \(0.234443\pi\)
−0.977417 + 0.211320i \(0.932224\pi\)
\(462\) −372.997 10.5223i −0.807353 0.0227756i
\(463\) 126.179 218.548i 0.272525 0.472027i −0.696983 0.717088i \(-0.745475\pi\)
0.969508 + 0.245061i \(0.0788080\pi\)
\(464\) 242.857 251.552i 0.523399 0.542138i
\(465\) 47.8057 + 126.968i 0.102808 + 0.273050i
\(466\) 394.791 305.701i 0.847192 0.656011i
\(467\) 461.897 + 461.897i 0.989072 + 0.989072i 0.999941 0.0108692i \(-0.00345983\pi\)
−0.0108692 + 0.999941i \(0.503460\pi\)
\(468\) −44.3575 + 134.662i −0.0947809 + 0.287739i
\(469\) 643.427 + 643.427i 1.37191 + 1.37191i
\(470\) −83.4765 10.6167i −0.177609 0.0225888i
\(471\) 115.355 140.596i 0.244914 0.298505i
\(472\) 656.008 517.261i 1.38985 1.09589i
\(473\) 51.5838 89.3458i 0.109057 0.188892i
\(474\) −141.147 593.203i −0.297778 1.25148i
\(475\) −77.6199 + 289.681i −0.163410 + 0.609855i
\(476\) −1074.41 + 298.038i −2.25717 + 0.626129i
\(477\) 26.6927 + 54.0931i 0.0559595 + 0.113403i
\(478\) −186.284 + 25.3584i −0.389716 + 0.0530511i
\(479\) −21.5106 + 12.4191i −0.0449073 + 0.0259272i −0.522286 0.852771i \(-0.674920\pi\)
0.477378 + 0.878698i \(0.341587\pi\)
\(480\) −183.825 + 310.727i −0.382968 + 0.647348i
\(481\) 57.3890 99.4006i 0.119312 0.206654i
\(482\) 19.5074 + 7.97993i 0.0404717 + 0.0165559i
\(483\) −973.286 + 697.632i −2.01508 + 1.44437i
\(484\) −279.859 + 284.824i −0.578222 + 0.588480i
\(485\) 271.096 271.096i 0.558960 0.558960i
\(486\) 285.066 + 393.616i 0.586555 + 0.809909i
\(487\) 687.253i 1.41120i 0.708612 + 0.705598i \(0.249322\pi\)
−0.708612 + 0.705598i \(0.750678\pi\)
\(488\) 41.5955 + 286.680i 0.0852367 + 0.587458i
\(489\) 129.196 + 21.3137i 0.264206 + 0.0435864i
\(490\) −927.160 + 388.826i −1.89216 + 0.793523i
\(491\) 11.1092 + 41.4599i 0.0226256 + 0.0844398i 0.976315 0.216352i \(-0.0694158\pi\)
−0.953690 + 0.300792i \(0.902749\pi\)
\(492\) 80.4828 516.073i 0.163583 1.04893i
\(493\) 435.350 + 116.652i 0.883062 + 0.236616i
\(494\) 215.588 29.3475i 0.436413 0.0594079i
\(495\) −147.490 50.0248i −0.297960 0.101060i
\(496\) −164.908 + 99.1161i −0.332475 + 0.199831i
\(497\) −1281.72 + 740.001i −2.57891 + 1.48893i
\(498\) −91.7692 + 149.076i −0.184276 + 0.299349i
\(499\) −114.033 425.576i −0.228522 0.852857i −0.980963 0.194196i \(-0.937790\pi\)
0.752440 0.658660i \(-0.228877\pi\)
\(500\) 464.738 273.793i 0.929477 0.547586i
\(501\) −465.468 + 45.9037i −0.929078 + 0.0916242i
\(502\) −88.3640 + 694.781i −0.176024 + 1.38403i
\(503\) 934.418 1.85769 0.928845 0.370469i \(-0.120803\pi\)
0.928845 + 0.370469i \(0.120803\pi\)
\(504\) −801.779 + 551.462i −1.59083 + 1.09417i
\(505\) 15.6300i 0.0309505i
\(506\) 34.2912 269.622i 0.0677692 0.532850i
\(507\) 419.448 + 189.986i 0.827314 + 0.374726i
\(508\) −214.345 + 829.036i −0.421939 + 1.63196i
\(509\) 387.712 103.887i 0.761712 0.204100i 0.143005 0.989722i \(-0.454323\pi\)
0.618707 + 0.785622i \(0.287657\pi\)
\(510\) −465.186 13.1230i −0.912129 0.0257314i
\(511\) 11.9881 + 20.7640i 0.0234600 + 0.0406340i
\(512\) −480.407 177.069i −0.938294 0.345838i
\(513\) 351.329 657.888i 0.684852 1.28243i
\(514\) 79.0883 10.7661i 0.153868 0.0209457i
\(515\) −69.4402 + 259.154i −0.134835 + 0.503212i
\(516\) −28.7583 267.508i −0.0557331 0.518425i
\(517\) 49.7260 13.3240i 0.0961818 0.0257718i
\(518\) 726.490 304.671i 1.40249 0.588168i
\(519\) −183.210 + 68.9818i −0.353007 + 0.132913i
\(520\) −94.9458 70.8847i −0.182588 0.136317i
\(521\) −362.328 −0.695446 −0.347723 0.937597i \(-0.613045\pi\)
−0.347723 + 0.937597i \(0.613045\pi\)
\(522\) 392.395 27.5512i 0.751714 0.0527800i
\(523\) 672.581 + 672.581i 1.28600 + 1.28600i 0.937193 + 0.348812i \(0.113415\pi\)
0.348812 + 0.937193i \(0.386585\pi\)
\(524\) 2.97437 + 338.271i 0.00567629 + 0.645556i
\(525\) 438.086 43.2033i 0.834449 0.0822920i
\(526\) 302.105 + 123.583i 0.574344 + 0.234948i
\(527\) −214.781 124.004i −0.407554 0.235302i
\(528\) 32.1135 218.522i 0.0608211 0.413867i
\(529\) −171.617 297.249i −0.324418 0.561908i
\(530\) −49.9503 + 6.79961i −0.0942458 + 0.0128295i
\(531\) 937.837 + 61.2321i 1.76617 + 0.115315i
\(532\) 1299.80 + 735.279i 2.44323 + 1.38210i
\(533\) 165.578 + 44.3665i 0.310653 + 0.0832393i
\(534\) 95.8005 + 28.5883i 0.179402 + 0.0535362i
\(535\) 7.50736 + 4.33437i 0.0140324 + 0.00810163i
\(536\) −422.943 + 333.489i −0.789073 + 0.622181i
\(537\) 96.1970 583.113i 0.179138 1.08587i
\(538\) −66.0819 8.40447i −0.122829 0.0156217i
\(539\) 434.922 434.922i 0.806905 0.806905i
\(540\) −387.572 + 121.461i −0.717727 + 0.224927i
\(541\) −387.728 + 387.728i −0.716687 + 0.716687i −0.967925 0.251238i \(-0.919162\pi\)
0.251238 + 0.967925i \(0.419162\pi\)
\(542\) 195.804 151.618i 0.361262 0.279738i
\(543\) −17.0200 + 103.169i −0.0313443 + 0.189998i
\(544\) −100.505 652.275i −0.184752 1.19903i
\(545\) 412.128 + 237.942i 0.756198 + 0.436591i
\(546\) −151.823 280.977i −0.278064 0.514609i
\(547\) −495.693 132.820i −0.906202 0.242816i −0.224524 0.974469i \(-0.572083\pi\)
−0.681678 + 0.731652i \(0.738749\pi\)
\(548\) 146.700 40.6938i 0.267700 0.0742588i
\(549\) −180.987 + 271.015i −0.329668 + 0.493651i
\(550\) −60.4752 + 79.5343i −0.109955 + 0.144608i
\(551\) −301.828 522.781i −0.547782 0.948786i
\(552\) −342.422 620.607i −0.620331 1.12429i
\(553\) 1189.53 + 686.773i 2.15104 + 1.24191i
\(554\) 165.329 + 394.229i 0.298428 + 0.711605i
\(555\) 327.219 32.2698i 0.589584 0.0581439i
\(556\) −3.72127 423.215i −0.00669294 0.761178i
\(557\) 0.0124673 + 0.0124673i 2.23829e−5 + 2.23829e-5i 0.707118 0.707096i \(-0.249995\pi\)
−0.707096 + 0.707118i \(0.749995\pi\)
\(558\) −212.487 41.2406i −0.380801 0.0739078i
\(559\) 88.3001 0.157961
\(560\) −224.266 781.719i −0.400475 1.39593i
\(561\) 266.442 100.320i 0.474941 0.178823i
\(562\) −464.521 190.023i −0.826551 0.338119i
\(563\) −628.979 + 168.535i −1.11719 + 0.299351i −0.769747 0.638349i \(-0.779618\pi\)
−0.347446 + 0.937700i \(0.612951\pi\)
\(564\) 84.2409 104.535i 0.149363 0.185346i
\(565\) 81.1944 303.021i 0.143707 0.536321i
\(566\) 567.752 746.683i 1.00309 1.31923i
\(567\) −1085.46 142.348i −1.91440 0.251055i
\(568\) −345.887 804.854i −0.608956 1.41700i
\(569\) −180.813 313.177i −0.317773 0.550400i 0.662250 0.749283i \(-0.269602\pi\)
−0.980023 + 0.198884i \(0.936268\pi\)
\(570\) 428.133 + 452.990i 0.751110 + 0.794718i
\(571\) −480.173 + 128.662i −0.840933 + 0.225327i −0.653478 0.756946i \(-0.726691\pi\)
−0.187455 + 0.982273i \(0.560024\pi\)
\(572\) 70.1801 + 18.1449i 0.122692 + 0.0317218i
\(573\) 852.526 + 386.145i 1.48783 + 0.673901i
\(574\) 720.336 + 930.264i 1.25494 + 1.62067i
\(575\) 320.644i 0.557641i
\(576\) −268.423 509.632i −0.466012 0.884778i
\(577\) −617.407 −1.07003 −0.535015 0.844843i \(-0.679694\pi\)
−0.535015 + 0.844843i \(0.679694\pi\)
\(578\) 215.623 166.965i 0.373050 0.288866i
\(579\) −85.9275 + 8.47404i −0.148407 + 0.0146356i
\(580\) −82.2886 + 318.273i −0.141877 + 0.548747i
\(581\) −102.061 380.897i −0.175664 0.655588i
\(582\) 141.588 + 595.056i 0.243278 + 1.02243i
\(583\) 26.7083 15.4201i 0.0458119 0.0264495i
\(584\) −13.0387 + 5.60340i −0.0223266 + 0.00959487i
\(585\) −26.0382 130.731i −0.0445097 0.223472i
\(586\) −705.830 536.689i −1.20449 0.915851i
\(587\) −295.359 79.1411i −0.503166 0.134823i −0.00169720 0.999999i \(-0.500540\pi\)
−0.501469 + 0.865176i \(0.667207\pi\)
\(588\) 247.166 1584.88i 0.420350 2.69537i
\(589\) 85.9719 + 320.851i 0.145962 + 0.544739i
\(590\) −297.380 + 726.962i −0.504034 + 1.23214i
\(591\) 465.853 + 76.8525i 0.788246 + 0.130038i
\(592\) 128.589 + 448.221i 0.217212 + 0.757130i
\(593\) 446.844i 0.753531i −0.926309 0.376766i \(-0.877036\pi\)
0.926309 0.376766i \(-0.122964\pi\)
\(594\) 191.321 158.548i 0.322089 0.266915i
\(595\) 741.252 741.252i 1.24580 1.24580i
\(596\) −541.698 + 4.76308i −0.908889 + 0.00799174i
\(597\) −714.002 + 511.782i −1.19598 + 0.857257i
\(598\) 214.525 89.9660i 0.358737 0.150445i
\(599\) 377.213 653.352i 0.629738 1.09074i −0.357867 0.933773i \(-0.616496\pi\)
0.987604 0.156965i \(-0.0501709\pi\)
\(600\) −5.05730 + 260.517i −0.00842884 + 0.434194i
\(601\) 141.453 81.6677i 0.235362 0.135886i −0.377681 0.925936i \(-0.623278\pi\)
0.613043 + 0.790049i \(0.289945\pi\)
\(602\) 482.434 + 366.826i 0.801386 + 0.609346i
\(603\) −604.644 39.4776i −1.00273 0.0654687i
\(604\) −62.9346 226.877i −0.104196 0.375624i
\(605\) 97.1663 362.629i 0.160605 0.599387i
\(606\) −21.2356 13.0723i −0.0350422 0.0215715i
\(607\) 188.177 325.932i 0.310012 0.536956i −0.668353 0.743844i \(-0.733000\pi\)
0.978365 + 0.206888i \(0.0663337\pi\)
\(608\) −522.562 + 712.931i −0.859477 + 1.17258i
\(609\) −562.037 + 685.020i −0.922886 + 1.12483i
\(610\) −166.747 215.342i −0.273355 0.353019i
\(611\) 31.1561 + 31.1561i 0.0509919 + 0.0509919i
\(612\) 406.893 621.046i 0.664858 1.01478i
\(613\) 611.706 + 611.706i 0.997889 + 0.997889i 0.999998 0.00210871i \(-0.000671224\pi\)
−0.00210871 + 0.999998i \(0.500671\pi\)
\(614\) 130.810 1028.52i 0.213045 1.67511i
\(615\) 173.036 + 459.572i 0.281360 + 0.747271i
\(616\) 308.055 + 390.686i 0.500089 + 0.634230i
\(617\) −138.023 + 239.063i −0.223700 + 0.387460i −0.955929 0.293599i \(-0.905147\pi\)
0.732229 + 0.681059i \(0.238480\pi\)
\(618\) −294.021 311.091i −0.475762 0.503384i
\(619\) 186.700 696.776i 0.301616 1.12565i −0.634203 0.773167i \(-0.718672\pi\)
0.935819 0.352480i \(-0.114662\pi\)
\(620\) 89.0656 157.447i 0.143654 0.253947i
\(621\) 180.779 776.645i 0.291110 1.25064i
\(622\) −34.6522 254.557i −0.0557109 0.409255i
\(623\) −195.031 + 112.601i −0.313052 + 0.180741i
\(624\) 175.716 69.7121i 0.281596 0.111718i
\(625\) −117.852 + 204.126i −0.188564 + 0.326602i
\(626\) −12.0723 + 29.5114i −0.0192848 + 0.0471429i
\(627\) −347.347 157.328i −0.553982 0.250922i
\(628\) −242.474 + 2.13204i −0.386105 + 0.00339497i
\(629\) −425.018 + 425.018i −0.675705 + 0.675705i
\(630\) 400.836 822.429i 0.636247 1.30544i
\(631\) 297.020i 0.470714i 0.971909 + 0.235357i \(0.0756259\pi\)
−0.971909 + 0.235357i \(0.924374\pi\)
\(632\) −486.384 + 651.482i −0.769595 + 1.03083i
\(633\) −158.255 + 192.883i −0.250007 + 0.304713i
\(634\) 99.8563 + 238.108i 0.157502 + 0.375565i
\(635\) −208.369 777.643i −0.328140 1.22463i
\(636\) 32.5383 73.5515i 0.0511608 0.115647i
\(637\) 508.496 + 136.251i 0.798268 + 0.213895i
\(638\) −27.1270 199.276i −0.0425188 0.312345i
\(639\) 316.555 933.311i 0.495391 1.46058i
\(640\) 475.096 77.4869i 0.742337 0.121073i
\(641\) 942.150 543.951i 1.46981 0.848597i 0.470387 0.882460i \(-0.344114\pi\)
0.999426 + 0.0338631i \(0.0107810\pi\)
\(642\) −12.1677 + 6.57471i −0.0189529 + 0.0102410i
\(643\) 92.0252 + 343.443i 0.143119 + 0.534126i 0.999832 + 0.0183329i \(0.00583588\pi\)
−0.856713 + 0.515793i \(0.827497\pi\)
\(644\) 1545.82 + 399.667i 2.40034 + 0.620601i
\(645\) 147.367 + 205.595i 0.228475 + 0.318752i
\(646\) −1130.30 143.754i −1.74968 0.222529i
\(647\) 335.860 0.519104 0.259552 0.965729i \(-0.416425\pi\)
0.259552 + 0.965729i \(0.416425\pi\)
\(648\) 159.129 628.158i 0.245570 0.969379i
\(649\) 480.509i 0.740384i
\(650\) −84.8327 10.7892i −0.130512 0.0165988i
\(651\) 396.290 284.053i 0.608741 0.436334i
\(652\) −88.6212 150.426i −0.135922 0.230715i
\(653\) −983.902 + 263.636i −1.50674 + 0.403730i −0.915351 0.402656i \(-0.868087\pi\)
−0.591389 + 0.806386i \(0.701420\pi\)
\(654\) −667.966 + 360.929i −1.02136 + 0.551878i
\(655\) −159.025 275.439i −0.242786 0.420517i
\(656\) −596.897 + 358.759i −0.909903 + 0.546889i
\(657\) −15.1197 5.12821i −0.0230133 0.00780550i
\(658\) 40.7914 + 299.656i 0.0619930 + 0.455404i
\(659\) 195.721 730.439i 0.296996 1.10841i −0.642622 0.766183i \(-0.722154\pi\)
0.939619 0.342223i \(-0.111180\pi\)
\(660\) 74.8776 + 193.688i 0.113451 + 0.293466i
\(661\) 219.351 58.7750i 0.331847 0.0889183i −0.0890482 0.996027i \(-0.528383\pi\)
0.420896 + 0.907109i \(0.361716\pi\)
\(662\) −413.705 986.483i −0.624932 1.49016i
\(663\) 188.382 + 154.561i 0.284135 + 0.233124i
\(664\) 230.992 33.5155i 0.347879 0.0504752i
\(665\) −1404.03 −2.11132
\(666\) −229.831 + 471.563i −0.345091 + 0.708053i
\(667\) −456.373 456.373i −0.684218 0.684218i
\(668\) 444.837 + 437.082i 0.665923 + 0.654315i
\(669\) −484.559 + 1069.80i −0.724304 + 1.59911i
\(670\) 191.727 468.688i 0.286160 0.699535i
\(671\) 144.296 + 83.3094i 0.215046 + 0.124157i
\(672\) 1249.64 + 349.103i 1.85959 + 0.519498i
\(673\) −265.670 460.154i −0.394755 0.683736i 0.598315 0.801261i \(-0.295837\pi\)
−0.993070 + 0.117525i \(0.962504\pi\)
\(674\) 88.8989 + 653.056i 0.131897 + 0.968925i
\(675\) −200.305 + 214.025i −0.296748 + 0.317075i
\(676\) −164.112 591.618i −0.242770 0.875175i
\(677\) −897.217 240.408i −1.32528 0.355108i −0.474328 0.880348i \(-0.657309\pi\)
−0.850954 + 0.525239i \(0.823976\pi\)
\(678\) 343.790 + 363.750i 0.507065 + 0.536504i
\(679\) −1193.24 688.920i −1.75736 1.01461i
\(680\) 384.193 + 487.247i 0.564989 + 0.716539i
\(681\) −921.320 + 346.892i −1.35289 + 0.509387i
\(682\) −13.9623 + 109.781i −0.0204726 + 0.160970i
\(683\) 571.659 571.659i 0.836983 0.836983i −0.151478 0.988461i \(-0.548403\pi\)
0.988461 + 0.151478i \(0.0484032\pi\)
\(684\) −973.525 + 202.816i −1.42328 + 0.296515i
\(685\) −101.210 + 101.210i −0.147752 + 0.147752i
\(686\) 1401.25 + 1809.61i 2.04264 + 2.63792i
\(687\) −454.188 372.647i −0.661118 0.542426i
\(688\) −249.162 + 258.083i −0.362154 + 0.375121i
\(689\) 22.8594 + 13.1979i 0.0331776 + 0.0191551i
\(690\) 567.500 + 349.346i 0.822464 + 0.506298i
\(691\) 111.644 + 29.9150i 0.161569 + 0.0432923i 0.338697 0.940896i \(-0.390014\pi\)
−0.177128 + 0.984188i \(0.556681\pi\)
\(692\) 227.191 + 128.518i 0.328310 + 0.185720i
\(693\) −36.4668 + 558.529i −0.0526216 + 0.805958i
\(694\) −445.486 338.732i −0.641910 0.488086i
\(695\) 198.957 + 344.604i 0.286270 + 0.495834i
\(696\) −363.596 377.993i −0.522409 0.543093i
\(697\) −777.418 448.842i −1.11538 0.643963i
\(698\) 202.489 84.9186i 0.290099 0.121660i
\(699\) −436.334 608.742i −0.624227 0.870876i
\(700\) −418.668 411.369i −0.598097 0.587671i
\(701\) 596.231 + 596.231i 0.850543 + 0.850543i 0.990200 0.139657i \(-0.0446000\pi\)
−0.139657 + 0.990200i \(0.544600\pi\)
\(702\) 199.394 + 73.9618i 0.284037 + 0.105359i
\(703\) 805.040 1.14515
\(704\) −251.065 + 153.921i −0.356627 + 0.218638i
\(705\) −20.5455 + 124.540i −0.0291426 + 0.176652i
\(706\) −173.085 + 423.115i −0.245162 + 0.599313i
\(707\) 54.2580 14.5384i 0.0767440 0.0205635i
\(708\) −738.964 1012.04i −1.04373 1.42943i
\(709\) 150.390 561.265i 0.212116 0.791629i −0.775046 0.631905i \(-0.782273\pi\)
0.987162 0.159723i \(-0.0510602\pi\)
\(710\) 655.626 + 498.515i 0.923417 + 0.702134i
\(711\) −897.026 + 178.664i −1.26164 + 0.251286i
\(712\) −52.6315 122.470i −0.0739207 0.172008i
\(713\) 177.573 + 307.565i 0.249050 + 0.431367i
\(714\) 387.141 + 1627.05i 0.542215 + 2.27879i
\(715\) −65.8295 + 17.6390i −0.0920693 + 0.0246699i
\(716\) −678.931 + 399.981i −0.948228 + 0.558633i
\(717\) 27.6765 + 280.642i 0.0386004 + 0.391411i
\(718\) 376.726 291.712i 0.524687 0.406284i
\(719\) 240.698i 0.334768i −0.985892 0.167384i \(-0.946468\pi\)
0.985892 0.167384i \(-0.0535320\pi\)
\(720\) 455.573 + 292.787i 0.632740 + 0.406649i
\(721\) 964.219 1.33734
\(722\) 492.279 + 635.744i 0.681827 + 0.880532i
\(723\) 13.0440 28.7983i 0.0180415 0.0398317i
\(724\) 120.122 70.7680i 0.165915 0.0977459i
\(725\) 61.4075 + 229.176i 0.0846999 + 0.316105i
\(726\) 411.418 + 435.304i 0.566691 + 0.599592i
\(727\) −273.329 + 157.807i −0.375969 + 0.217066i −0.676063 0.736844i \(-0.736315\pi\)
0.300094 + 0.953910i \(0.402982\pi\)
\(728\) −157.755 + 395.529i −0.216696 + 0.543309i
\(729\) 605.835 405.468i 0.831050 0.556198i
\(730\) 8.07600 10.6212i 0.0110630 0.0145496i
\(731\) −446.652 119.680i −0.611015 0.163721i
\(732\) 432.033 46.4455i 0.590209 0.0634501i
\(733\) 175.311 + 654.270i 0.239169 + 0.892592i 0.976225 + 0.216760i \(0.0695489\pi\)
−0.737056 + 0.675832i \(0.763784\pi\)
\(734\) −311.290 127.340i −0.424101 0.173488i
\(735\) 531.401 + 1411.36i 0.722995 + 1.92022i
\(736\) −342.386 + 880.874i −0.465198 + 1.19684i
\(737\) 309.795i 0.420346i
\(738\) −769.115 149.274i −1.04216 0.202268i
\(739\) 438.957 438.957i 0.593987 0.593987i −0.344719 0.938706i \(-0.612026\pi\)
0.938706 + 0.344719i \(0.112026\pi\)
\(740\) −312.716 307.264i −0.422589 0.415222i
\(741\) −32.0302 324.789i −0.0432256 0.438312i
\(742\) 70.0659 + 167.073i 0.0944284 + 0.225165i
\(743\) −334.474 + 579.327i −0.450168 + 0.779713i −0.998396 0.0566155i \(-0.981969\pi\)
0.548228 + 0.836329i \(0.315302\pi\)
\(744\) 139.423 + 252.691i 0.187397 + 0.339639i
\(745\) 441.080 254.657i 0.592053 0.341822i
\(746\) 737.043 969.327i 0.987993 1.29937i
\(747\) 218.370 + 145.830i 0.292329 + 0.195222i
\(748\) −330.402 186.903i −0.441713 0.249871i
\(749\) 8.06332 30.0927i 0.0107654 0.0401772i
\(750\) −384.625 711.821i −0.512833 0.949094i
\(751\) 64.0118 110.872i 0.0852355 0.147632i −0.820256 0.571997i \(-0.806169\pi\)
0.905492 + 0.424364i \(0.139502\pi\)
\(752\) −178.978 + 3.14770i −0.238002 + 0.00418577i
\(753\) 1036.56 + 171.002i 1.37657 + 0.227094i
\(754\) 136.099 105.386i 0.180503 0.139770i
\(755\) 156.525 + 156.525i 0.207318 + 0.207318i
\(756\) 782.143 + 1232.44i 1.03458 + 1.63021i
\(757\) −515.217 515.217i −0.680604 0.680604i 0.279532 0.960136i \(-0.409821\pi\)
−0.960136 + 0.279532i \(0.909821\pi\)
\(758\) 896.543 + 114.025i 1.18278 + 0.150428i
\(759\) −402.254 66.3604i −0.529979 0.0874314i
\(760\) 97.5990 825.310i 0.128420 1.08593i
\(761\) 446.450 773.275i 0.586663 1.01613i −0.408003 0.912981i \(-0.633775\pi\)
0.994666 0.103149i \(-0.0328919\pi\)
\(762\) 1230.81 + 367.293i 1.61524 + 0.482011i
\(763\) 442.648 1651.98i 0.580141 2.16512i
\(764\) −333.557 1202.46i −0.436593 1.57390i
\(765\) −45.4798 + 696.573i −0.0594507 + 0.910553i
\(766\) −509.249 + 69.3228i −0.664815 + 0.0904997i
\(767\) 356.164 205.631i 0.464360 0.268098i
\(768\) −292.075 + 710.293i −0.380306 + 0.924861i
\(769\) −310.380 + 537.594i −0.403615 + 0.699082i −0.994159 0.107924i \(-0.965580\pi\)
0.590544 + 0.807005i \(0.298913\pi\)
\(770\) −432.942 177.105i −0.562263 0.230006i
\(771\) −11.7503 119.149i −0.0152403 0.154538i
\(772\) 82.1188 + 80.6873i 0.106372 + 0.104517i
\(773\) −710.034 + 710.034i −0.918544 + 0.918544i −0.996924 0.0783797i \(-0.975025\pi\)