Properties

Label 144.3.w.a.5.20
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 5.20
Character \(\chi\) \(=\) 144.5
Dual form 144.3.w.a.29.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.608739 - 1.90511i) q^{2} +(2.61769 - 1.46550i) q^{3} +(-3.25887 + 2.31943i) q^{4} +(-2.13498 - 7.96785i) q^{5} +(-4.38543 - 4.09487i) q^{6} +(-10.2471 + 5.91616i) q^{7} +(6.40256 + 4.79658i) q^{8} +(4.70460 - 7.67247i) q^{9} +O(q^{10})\) \(q+(-0.608739 - 1.90511i) q^{2} +(2.61769 - 1.46550i) q^{3} +(-3.25887 + 2.31943i) q^{4} +(-2.13498 - 7.96785i) q^{5} +(-4.38543 - 4.09487i) q^{6} +(-10.2471 + 5.91616i) q^{7} +(6.40256 + 4.79658i) q^{8} +(4.70460 - 7.67247i) q^{9} +(-13.8800 + 8.91771i) q^{10} +(-2.67965 - 0.718009i) q^{11} +(-5.13159 + 10.8474i) q^{12} +(-0.984428 - 3.67394i) q^{13} +(17.5087 + 15.9204i) q^{14} +(-17.2656 - 17.7285i) q^{15} +(5.24051 - 15.1174i) q^{16} -3.92397i q^{17} +(-17.4808 - 4.29223i) q^{18} +(21.0377 - 21.0377i) q^{19} +(25.4385 + 21.0143i) q^{20} +(-18.1535 + 30.5038i) q^{21} +(0.263321 + 5.54210i) q^{22} +(-9.61304 + 16.6503i) q^{23} +(23.7893 + 3.17297i) q^{24} +(-37.2778 + 21.5224i) q^{25} +(-6.39999 + 4.11191i) q^{26} +(1.07114 - 26.9787i) q^{27} +(19.6718 - 43.0474i) q^{28} +(9.36387 - 34.9464i) q^{29} +(-23.2645 + 43.6849i) q^{30} +(-10.4943 + 18.1766i) q^{31} +(-31.9905 - 0.781157i) q^{32} +(-8.06673 + 2.04751i) q^{33} +(-7.47559 + 2.38868i) q^{34} +(69.0163 + 69.0163i) q^{35} +(2.46405 + 35.9156i) q^{36} +(7.79895 + 7.79895i) q^{37} +(-52.8856 - 27.2726i) q^{38} +(-7.96110 - 8.17454i) q^{39} +(24.5491 - 61.2552i) q^{40} +(15.2735 - 26.4545i) q^{41} +(69.1638 + 16.0156i) q^{42} +(7.11563 - 26.5559i) q^{43} +(10.3980 - 3.87535i) q^{44} +(-71.1773 - 21.1050i) q^{45} +(37.5724 + 8.17821i) q^{46} +(71.8427 - 41.4784i) q^{47} +(-8.43664 - 47.2528i) q^{48} +(45.5018 - 78.8114i) q^{49} +(63.6949 + 57.9168i) q^{50} +(-5.75060 - 10.2717i) q^{51} +(11.7296 + 9.68958i) q^{52} +(30.4049 - 30.4049i) q^{53} +(-52.0495 + 14.3824i) q^{54} +22.8839i q^{55} +(-93.9849 - 11.2724i) q^{56} +(24.2393 - 85.9010i) q^{57} +(-72.2769 + 3.43408i) q^{58} +(12.0510 + 44.9748i) q^{59} +(97.3865 + 17.7287i) q^{60} +(-53.0370 - 14.2112i) q^{61} +(41.0167 + 8.92791i) q^{62} +(-2.81687 + 106.454i) q^{63} +(17.9857 + 61.4208i) q^{64} +(-27.1716 + 15.6876i) q^{65} +(8.81126 + 14.1216i) q^{66} +(15.3702 + 57.3625i) q^{67} +(9.10137 + 12.7877i) q^{68} +(-0.762914 + 57.6732i) q^{69} +(89.4706 - 173.496i) q^{70} +43.4657 q^{71} +(66.9231 - 26.5575i) q^{72} +64.3392i q^{73} +(10.1103 - 19.6054i) q^{74} +(-66.0407 + 110.970i) q^{75} +(-19.7638 + 117.355i) q^{76} +(31.7064 - 8.49571i) q^{77} +(-10.7272 + 20.1429i) q^{78} +(-30.0354 - 52.0228i) q^{79} +(-131.642 - 9.48017i) q^{80} +(-36.7335 - 72.1917i) q^{81} +(-59.6962 - 12.9938i) q^{82} +(-20.1272 + 75.1158i) q^{83} +(-11.5913 - 141.514i) q^{84} +(-31.2656 + 8.37760i) q^{85} +(-54.9234 + 2.60957i) q^{86} +(-26.7024 - 105.202i) q^{87} +(-13.7126 - 17.4502i) q^{88} -3.34422 q^{89} +(3.12117 + 148.448i) q^{90} +(31.8231 + 31.8231i) q^{91} +(-7.29143 - 76.5579i) q^{92} +(-0.832851 + 62.9602i) q^{93} +(-122.754 - 111.619i) q^{94} +(-212.540 - 122.710i) q^{95} +(-84.8859 + 44.8373i) q^{96} +(60.3271 + 104.490i) q^{97} +(-177.843 - 38.7102i) q^{98} +(-18.1156 + 17.1816i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.608739 1.90511i −0.304370 0.952554i
\(3\) 2.61769 1.46550i 0.872563 0.488501i
\(4\) −3.25887 + 2.31943i −0.814718 + 0.579857i
\(5\) −2.13498 7.96785i −0.426996 1.59357i −0.759526 0.650477i \(-0.774569\pi\)
0.332530 0.943093i \(-0.392098\pi\)
\(6\) −4.38543 4.09487i −0.730906 0.682479i
\(7\) −10.2471 + 5.91616i −1.46387 + 0.845165i −0.999187 0.0403127i \(-0.987165\pi\)
−0.464682 + 0.885478i \(0.653831\pi\)
\(8\) 6.40256 + 4.79658i 0.800321 + 0.599572i
\(9\) 4.70460 7.67247i 0.522733 0.852496i
\(10\) −13.8800 + 8.91771i −1.38800 + 0.891771i
\(11\) −2.67965 0.718009i −0.243604 0.0652736i 0.134951 0.990852i \(-0.456912\pi\)
−0.378555 + 0.925579i \(0.623579\pi\)
\(12\) −5.13159 + 10.8474i −0.427632 + 0.903953i
\(13\) −0.984428 3.67394i −0.0757253 0.282611i 0.917672 0.397340i \(-0.130067\pi\)
−0.993397 + 0.114729i \(0.963400\pi\)
\(14\) 17.5087 + 15.9204i 1.25062 + 1.13717i
\(15\) −17.2656 17.7285i −1.15104 1.18190i
\(16\) 5.24051 15.1174i 0.327532 0.944840i
\(17\) 3.92397i 0.230822i −0.993318 0.115411i \(-0.963181\pi\)
0.993318 0.115411i \(-0.0368185\pi\)
\(18\) −17.4808 4.29223i −0.971153 0.238457i
\(19\) 21.0377 21.0377i 1.10725 1.10725i 0.113736 0.993511i \(-0.463718\pi\)
0.993511 0.113736i \(-0.0362819\pi\)
\(20\) 25.4385 + 21.0143i 1.27192 + 1.05071i
\(21\) −18.1535 + 30.5038i −0.864454 + 1.45256i
\(22\) 0.263321 + 5.54210i 0.0119691 + 0.251913i
\(23\) −9.61304 + 16.6503i −0.417958 + 0.723925i −0.995734 0.0922705i \(-0.970588\pi\)
0.577776 + 0.816196i \(0.303921\pi\)
\(24\) 23.7893 + 3.17297i 0.991222 + 0.132207i
\(25\) −37.2778 + 21.5224i −1.49111 + 0.860895i
\(26\) −6.39999 + 4.11191i −0.246153 + 0.158150i
\(27\) 1.07114 26.9787i 0.0396719 0.999213i
\(28\) 19.6718 43.0474i 0.702566 1.53741i
\(29\) 9.36387 34.9464i 0.322892 1.20505i −0.593522 0.804818i \(-0.702263\pi\)
0.916414 0.400231i \(-0.131070\pi\)
\(30\) −23.2645 + 43.6849i −0.775484 + 1.45616i
\(31\) −10.4943 + 18.1766i −0.338525 + 0.586343i −0.984156 0.177307i \(-0.943261\pi\)
0.645630 + 0.763650i \(0.276595\pi\)
\(32\) −31.9905 0.781157i −0.999702 0.0244111i
\(33\) −8.06673 + 2.04751i −0.244446 + 0.0620457i
\(34\) −7.47559 + 2.38868i −0.219870 + 0.0702552i
\(35\) 69.0163 + 69.0163i 1.97189 + 1.97189i
\(36\) 2.46405 + 35.9156i 0.0684459 + 0.997655i
\(37\) 7.79895 + 7.79895i 0.210782 + 0.210782i 0.804600 0.593817i \(-0.202380\pi\)
−0.593817 + 0.804600i \(0.702380\pi\)
\(38\) −52.8856 27.2726i −1.39173 0.717700i
\(39\) −7.96110 8.17454i −0.204131 0.209604i
\(40\) 24.5491 61.2552i 0.613727 1.53138i
\(41\) 15.2735 26.4545i 0.372524 0.645231i −0.617429 0.786627i \(-0.711826\pi\)
0.989953 + 0.141395i \(0.0451589\pi\)
\(42\) 69.1638 + 16.0156i 1.64676 + 0.381323i
\(43\) 7.11563 26.5559i 0.165480 0.617579i −0.832499 0.554027i \(-0.813090\pi\)
0.997979 0.0635521i \(-0.0202429\pi\)
\(44\) 10.3980 3.87535i 0.236318 0.0880760i
\(45\) −71.1773 21.1050i −1.58172 0.468999i
\(46\) 37.5724 + 8.17821i 0.816792 + 0.177787i
\(47\) 71.8427 41.4784i 1.52857 0.882519i 0.529146 0.848531i \(-0.322512\pi\)
0.999422 0.0339887i \(-0.0108210\pi\)
\(48\) −8.43664 47.2528i −0.175763 0.984432i
\(49\) 45.5018 78.8114i 0.928608 1.60840i
\(50\) 63.6949 + 57.9168i 1.27390 + 1.15834i
\(51\) −5.75060 10.2717i −0.112757 0.201407i
\(52\) 11.7296 + 9.68958i 0.225568 + 0.186338i
\(53\) 30.4049 30.4049i 0.573678 0.573678i −0.359477 0.933154i \(-0.617045\pi\)
0.933154 + 0.359477i \(0.117045\pi\)
\(54\) −52.0495 + 14.3824i −0.963879 + 0.266340i
\(55\) 22.8839i 0.416072i
\(56\) −93.9849 11.2724i −1.67830 0.201292i
\(57\) 24.2393 85.9010i 0.425251 1.50703i
\(58\) −72.2769 + 3.43408i −1.24615 + 0.0592083i
\(59\) 12.0510 + 44.9748i 0.204254 + 0.762285i 0.989676 + 0.143325i \(0.0457793\pi\)
−0.785422 + 0.618961i \(0.787554\pi\)
\(60\) 97.3865 + 17.7287i 1.62311 + 0.295478i
\(61\) −53.0370 14.2112i −0.869459 0.232971i −0.203605 0.979053i \(-0.565266\pi\)
−0.665854 + 0.746082i \(0.731933\pi\)
\(62\) 41.0167 + 8.92791i 0.661560 + 0.143999i
\(63\) −2.81687 + 106.454i −0.0447123 + 1.68974i
\(64\) 17.9857 + 61.4208i 0.281026 + 0.959700i
\(65\) −27.1716 + 15.6876i −0.418025 + 0.241347i
\(66\) 8.81126 + 14.1216i 0.133504 + 0.213963i
\(67\) 15.3702 + 57.3625i 0.229406 + 0.856156i 0.980591 + 0.196064i \(0.0628161\pi\)
−0.751185 + 0.660092i \(0.770517\pi\)
\(68\) 9.10137 + 12.7877i 0.133844 + 0.188055i
\(69\) −0.762914 + 57.6732i −0.0110567 + 0.835844i
\(70\) 89.4706 173.496i 1.27815 2.47852i
\(71\) 43.4657 0.612193 0.306097 0.952000i \(-0.400977\pi\)
0.306097 + 0.952000i \(0.400977\pi\)
\(72\) 66.9231 26.5575i 0.929487 0.368854i
\(73\) 64.3392i 0.881359i 0.897665 + 0.440679i \(0.145262\pi\)
−0.897665 + 0.440679i \(0.854738\pi\)
\(74\) 10.1103 19.6054i 0.136626 0.264937i
\(75\) −66.0407 + 110.970i −0.880542 + 1.47960i
\(76\) −19.7638 + 117.355i −0.260050 + 1.54414i
\(77\) 31.7064 8.49571i 0.411772 0.110334i
\(78\) −10.7272 + 20.1429i −0.137528 + 0.258242i
\(79\) −30.0354 52.0228i −0.380195 0.658517i 0.610895 0.791712i \(-0.290810\pi\)
−0.991090 + 0.133195i \(0.957476\pi\)
\(80\) −131.642 9.48017i −1.64552 0.118502i
\(81\) −36.7335 72.1917i −0.453500 0.891256i
\(82\) −59.6962 12.9938i −0.728003 0.158461i
\(83\) −20.1272 + 75.1158i −0.242497 + 0.905010i 0.732128 + 0.681167i \(0.238527\pi\)
−0.974625 + 0.223843i \(0.928140\pi\)
\(84\) −11.5913 141.514i −0.137992 1.68469i
\(85\) −31.2656 + 8.37760i −0.367831 + 0.0985600i
\(86\) −54.9234 + 2.60957i −0.638645 + 0.0303438i
\(87\) −26.7024 105.202i −0.306924 1.20921i
\(88\) −13.7126 17.4502i −0.155825 0.198298i
\(89\) −3.34422 −0.0375755 −0.0187877 0.999823i \(-0.505981\pi\)
−0.0187877 + 0.999823i \(0.505981\pi\)
\(90\) 3.12117 + 148.448i 0.0346797 + 1.64942i
\(91\) 31.8231 + 31.8231i 0.349704 + 0.349704i
\(92\) −7.29143 76.5579i −0.0792547 0.832151i
\(93\) −0.832851 + 62.9602i −0.00895538 + 0.676991i
\(94\) −122.754 111.619i −1.30590 1.18743i
\(95\) −212.540 122.710i −2.23727 1.29169i
\(96\) −84.8859 + 44.8373i −0.884228 + 0.467055i
\(97\) 60.3271 + 104.490i 0.621929 + 1.07721i 0.989126 + 0.147069i \(0.0469839\pi\)
−0.367198 + 0.930143i \(0.619683\pi\)
\(98\) −177.843 38.7102i −1.81472 0.395002i
\(99\) −18.1156 + 17.1816i −0.182985 + 0.173551i
\(100\) 71.5641 156.602i 0.715641 1.56602i
\(101\) −91.2755 24.4572i −0.903718 0.242151i −0.223106 0.974794i \(-0.571620\pi\)
−0.680612 + 0.732644i \(0.738286\pi\)
\(102\) −16.0682 + 17.2083i −0.157531 + 0.168709i
\(103\) 111.972 + 64.6469i 1.08710 + 0.627640i 0.932804 0.360384i \(-0.117354\pi\)
0.154300 + 0.988024i \(0.450688\pi\)
\(104\) 11.3195 28.2445i 0.108841 0.271582i
\(105\) 281.807 + 79.5196i 2.68388 + 0.757330i
\(106\) −76.4333 39.4160i −0.721069 0.371849i
\(107\) 41.0371 41.0371i 0.383524 0.383524i −0.488846 0.872370i \(-0.662582\pi\)
0.872370 + 0.488846i \(0.162582\pi\)
\(108\) 59.0845 + 90.4047i 0.547079 + 0.837081i
\(109\) −55.2845 + 55.2845i −0.507197 + 0.507197i −0.913665 0.406468i \(-0.866760\pi\)
0.406468 + 0.913665i \(0.366760\pi\)
\(110\) 43.5964 13.9304i 0.396331 0.126640i
\(111\) 31.8446 + 8.98583i 0.286888 + 0.0809535i
\(112\) 35.7372 + 185.913i 0.319082 + 1.65994i
\(113\) −19.1616 11.0630i −0.169572 0.0979024i 0.412812 0.910816i \(-0.364547\pi\)
−0.582384 + 0.812914i \(0.697880\pi\)
\(114\) −178.406 + 6.11275i −1.56497 + 0.0536206i
\(115\) 153.191 + 41.0473i 1.33209 + 0.356933i
\(116\) 50.5401 + 135.605i 0.435690 + 1.16901i
\(117\) −32.8195 9.73140i −0.280509 0.0831743i
\(118\) 78.3460 50.3363i 0.663949 0.426579i
\(119\) 23.2148 + 40.2093i 0.195083 + 0.337893i
\(120\) −25.5080 196.324i −0.212566 1.63603i
\(121\) −98.1241 56.6520i −0.810943 0.468198i
\(122\) 5.21179 + 109.692i 0.0427196 + 0.899116i
\(123\) 1.21214 91.6330i 0.00985481 0.744984i
\(124\) −7.95984 83.5760i −0.0641923 0.674000i
\(125\) 105.253 + 105.253i 0.842020 + 0.842020i
\(126\) 204.520 59.4360i 1.62318 0.471714i
\(127\) 26.5571 0.209111 0.104556 0.994519i \(-0.466658\pi\)
0.104556 + 0.994519i \(0.466658\pi\)
\(128\) 106.065 71.6539i 0.828630 0.559796i
\(129\) −20.2913 79.9431i −0.157297 0.619714i
\(130\) 46.4269 + 42.2153i 0.357130 + 0.324733i
\(131\) 84.7119 22.6985i 0.646656 0.173271i 0.0794393 0.996840i \(-0.474687\pi\)
0.567216 + 0.823569i \(0.308020\pi\)
\(132\) 21.5394 25.3828i 0.163177 0.192294i
\(133\) −91.1127 + 340.037i −0.685058 + 2.55667i
\(134\) 99.9252 64.2007i 0.745711 0.479110i
\(135\) −217.249 + 49.0643i −1.60925 + 0.363440i
\(136\) 18.8216 25.1235i 0.138394 0.184732i
\(137\) −4.74109 8.21181i −0.0346065 0.0599402i 0.848203 0.529671i \(-0.177684\pi\)
−0.882810 + 0.469730i \(0.844351\pi\)
\(138\) 110.338 33.6545i 0.799552 0.243873i
\(139\) −138.057 + 36.9923i −0.993217 + 0.266132i −0.718601 0.695422i \(-0.755217\pi\)
−0.274616 + 0.961554i \(0.588551\pi\)
\(140\) −384.994 64.8371i −2.74996 0.463122i
\(141\) 127.275 213.863i 0.902661 1.51676i
\(142\) −26.4593 82.8069i −0.186333 0.583147i
\(143\) 10.5517i 0.0737880i
\(144\) −91.3336 111.329i −0.634261 0.773119i
\(145\) −298.439 −2.05820
\(146\) 122.573 39.1658i 0.839542 0.268259i
\(147\) 3.61113 272.987i 0.0245655 1.85705i
\(148\) −43.5049 7.32668i −0.293952 0.0495046i
\(149\) 29.1551 + 108.808i 0.195672 + 0.730257i 0.992092 + 0.125513i \(0.0400578\pi\)
−0.796420 + 0.604744i \(0.793276\pi\)
\(150\) 251.611 + 58.2630i 1.67740 + 0.388420i
\(151\) −22.4488 + 12.9608i −0.148667 + 0.0858331i −0.572488 0.819913i \(-0.694022\pi\)
0.423821 + 0.905746i \(0.360689\pi\)
\(152\) 235.604 33.7862i 1.55003 0.222278i
\(153\) −30.1066 18.4607i −0.196775 0.120658i
\(154\) −35.4862 55.2325i −0.230430 0.358652i
\(155\) 167.234 + 44.8101i 1.07893 + 0.289097i
\(156\) 44.9045 + 8.17461i 0.287849 + 0.0524013i
\(157\) 51.2279 + 191.185i 0.326293 + 1.21774i 0.913006 + 0.407946i \(0.133755\pi\)
−0.586714 + 0.809795i \(0.699579\pi\)
\(158\) −80.8254 + 88.8890i −0.511553 + 0.562589i
\(159\) 35.0321 124.149i 0.220328 0.780812i
\(160\) 62.0748 + 256.563i 0.387968 + 1.60352i
\(161\) 227.489i 1.41298i
\(162\) −115.172 + 113.927i −0.710938 + 0.703255i
\(163\) −50.6593 + 50.6593i −0.310793 + 0.310793i −0.845217 0.534424i \(-0.820529\pi\)
0.534424 + 0.845217i \(0.320529\pi\)
\(164\) 11.5849 + 121.638i 0.0706394 + 0.741693i
\(165\) 33.5365 + 59.9031i 0.203252 + 0.363049i
\(166\) 155.356 7.38141i 0.935880 0.0444663i
\(167\) −59.5750 + 103.187i −0.356736 + 0.617885i −0.987414 0.158160i \(-0.949444\pi\)
0.630677 + 0.776045i \(0.282777\pi\)
\(168\) −262.543 + 108.228i −1.56276 + 0.644212i
\(169\) 133.830 77.2665i 0.791891 0.457198i
\(170\) 34.9928 + 54.4646i 0.205840 + 0.320380i
\(171\) −62.4372 260.385i −0.365130 1.52272i
\(172\) 38.4056 + 103.047i 0.223288 + 0.599108i
\(173\) 69.4530 259.202i 0.401463 1.49828i −0.409025 0.912523i \(-0.634131\pi\)
0.810487 0.585756i \(-0.199202\pi\)
\(174\) −184.166 + 114.911i −1.05842 + 0.660410i
\(175\) 254.659 441.083i 1.45520 2.52047i
\(176\) −24.8972 + 36.7467i −0.141461 + 0.208788i
\(177\) 97.4565 + 100.069i 0.550602 + 0.565364i
\(178\) 2.03576 + 6.37110i 0.0114368 + 0.0357927i
\(179\) −159.921 159.921i −0.893415 0.893415i 0.101428 0.994843i \(-0.467659\pi\)
−0.994843 + 0.101428i \(0.967659\pi\)
\(180\) 280.909 96.3122i 1.56061 0.535068i
\(181\) 65.6137 + 65.6137i 0.362507 + 0.362507i 0.864735 0.502228i \(-0.167486\pi\)
−0.502228 + 0.864735i \(0.667486\pi\)
\(182\) 41.2545 79.9984i 0.226673 0.439552i
\(183\) −159.661 + 40.5254i −0.872465 + 0.221450i
\(184\) −141.413 + 60.4948i −0.768546 + 0.328776i
\(185\) 45.4902 78.7914i 0.245893 0.425899i
\(186\) 120.453 36.7396i 0.647596 0.197525i
\(187\) −2.81745 + 10.5149i −0.0150666 + 0.0562292i
\(188\) −137.920 + 301.807i −0.733618 + 1.60536i
\(189\) 148.634 + 282.790i 0.786425 + 1.49625i
\(190\) −104.395 + 479.611i −0.549445 + 2.52427i
\(191\) −168.790 + 97.4510i −0.883718 + 0.510215i −0.871882 0.489715i \(-0.837101\pi\)
−0.0118353 + 0.999930i \(0.503767\pi\)
\(192\) 137.093 + 134.423i 0.714028 + 0.700117i
\(193\) 96.8155 167.689i 0.501635 0.868857i −0.498363 0.866968i \(-0.666065\pi\)
0.999998 0.00188884i \(-0.000601238\pi\)
\(194\) 162.340 178.536i 0.836806 0.920291i
\(195\) −48.1367 + 80.8853i −0.246855 + 0.414796i
\(196\) 34.5128 + 362.375i 0.176086 + 1.84885i
\(197\) 96.9581 96.9581i 0.492173 0.492173i −0.416817 0.908990i \(-0.636854\pi\)
0.908990 + 0.416817i \(0.136854\pi\)
\(198\) 43.7604 + 24.0530i 0.221012 + 0.121480i
\(199\) 371.480i 1.86673i −0.358923 0.933367i \(-0.616856\pi\)
0.358923 0.933367i \(-0.383144\pi\)
\(200\) −341.907 41.0077i −1.70954 0.205039i
\(201\) 124.299 + 127.632i 0.618405 + 0.634985i
\(202\) 8.96937 + 188.778i 0.0444028 + 0.934544i
\(203\) 110.796 + 413.497i 0.545794 + 2.03693i
\(204\) 42.5650 + 20.1362i 0.208652 + 0.0987069i
\(205\) −243.394 65.2172i −1.18729 0.318133i
\(206\) 54.9978 252.671i 0.266979 1.22656i
\(207\) 82.5232 + 152.089i 0.398663 + 0.734728i
\(208\) −60.6994 4.37126i −0.291824 0.0210157i
\(209\) −71.4789 + 41.2683i −0.342004 + 0.197456i
\(210\) −20.0535 585.279i −0.0954928 2.78705i
\(211\) 52.4918 + 195.902i 0.248776 + 0.928446i 0.971448 + 0.237254i \(0.0762475\pi\)
−0.722671 + 0.691192i \(0.757086\pi\)
\(212\) −28.5638 + 169.608i −0.134735 + 0.800037i
\(213\) 113.780 63.6992i 0.534177 0.299057i
\(214\) −103.161 53.1992i −0.482061 0.248594i
\(215\) −226.785 −1.05481
\(216\) 136.264 167.595i 0.630851 0.775904i
\(217\) 248.343i 1.14444i
\(218\) 138.977 + 71.6691i 0.637508 + 0.328757i
\(219\) 94.2893 + 168.420i 0.430545 + 0.769041i
\(220\) −53.0777 74.5759i −0.241262 0.338981i
\(221\) −14.4164 + 3.86287i −0.0652327 + 0.0174791i
\(222\) −2.26607 66.1374i −0.0102075 0.297916i
\(223\) 95.6087 + 165.599i 0.428739 + 0.742597i 0.996761 0.0804156i \(-0.0256248\pi\)
−0.568023 + 0.823013i \(0.692291\pi\)
\(224\) 332.430 181.256i 1.48406 0.809179i
\(225\) −10.2475 + 387.267i −0.0455444 + 1.72119i
\(226\) −9.41173 + 43.2395i −0.0416448 + 0.191325i
\(227\) 55.3668 206.632i 0.243906 0.910271i −0.730024 0.683422i \(-0.760491\pi\)
0.973930 0.226849i \(-0.0728424\pi\)
\(228\) 120.248 + 336.162i 0.527405 + 1.47439i
\(229\) 418.373 112.103i 1.82696 0.489532i 0.829355 0.558722i \(-0.188708\pi\)
0.997603 + 0.0691903i \(0.0220416\pi\)
\(230\) −15.0536 316.832i −0.0654503 1.37753i
\(231\) 70.5470 68.7050i 0.305398 0.297424i
\(232\) 227.576 178.832i 0.980931 0.770828i
\(233\) −119.753 −0.513960 −0.256980 0.966417i \(-0.582727\pi\)
−0.256980 + 0.966417i \(0.582727\pi\)
\(234\) 1.43916 + 68.4486i 0.00615024 + 0.292515i
\(235\) −483.876 483.876i −2.05905 2.05905i
\(236\) −143.588 118.616i −0.608426 0.502610i
\(237\) −154.863 92.1626i −0.653430 0.388872i
\(238\) 62.4712 68.7037i 0.262484 0.288671i
\(239\) −156.858 90.5618i −0.656308 0.378920i 0.134561 0.990905i \(-0.457038\pi\)
−0.790869 + 0.611986i \(0.790371\pi\)
\(240\) −358.491 + 168.106i −1.49371 + 0.700440i
\(241\) 88.2232 + 152.807i 0.366071 + 0.634054i 0.988947 0.148266i \(-0.0473693\pi\)
−0.622876 + 0.782320i \(0.714036\pi\)
\(242\) −48.1962 + 221.423i −0.199158 + 0.914972i
\(243\) −201.954 135.142i −0.831088 0.556142i
\(244\) 205.803 76.7030i 0.843454 0.314356i
\(245\) −725.103 194.291i −2.95960 0.793023i
\(246\) −175.309 + 53.4713i −0.712637 + 0.217363i
\(247\) −98.0013 56.5811i −0.396766 0.229073i
\(248\) −154.376 + 66.0404i −0.622483 + 0.266292i
\(249\) 57.3957 + 226.126i 0.230505 + 0.908138i
\(250\) 136.446 264.589i 0.545784 1.05836i
\(251\) −140.535 + 140.535i −0.559899 + 0.559899i −0.929279 0.369380i \(-0.879570\pi\)
0.369380 + 0.929279i \(0.379570\pi\)
\(252\) −237.731 353.452i −0.943379 1.40259i
\(253\) 37.7146 37.7146i 0.149070 0.149070i
\(254\) −16.1664 50.5942i −0.0636471 0.199190i
\(255\) −69.5663 + 67.7498i −0.272809 + 0.265686i
\(256\) −201.074 158.446i −0.785446 0.618930i
\(257\) 135.684 + 78.3373i 0.527954 + 0.304814i 0.740183 0.672406i \(-0.234739\pi\)
−0.212229 + 0.977220i \(0.568072\pi\)
\(258\) −139.948 + 87.3215i −0.542435 + 0.338456i
\(259\) −126.056 33.7767i −0.486704 0.130412i
\(260\) 52.1628 114.146i 0.200626 0.439025i
\(261\) −224.072 236.253i −0.858514 0.905183i
\(262\) −94.8105 147.568i −0.361872 0.563236i
\(263\) 174.727 + 302.635i 0.664360 + 1.15070i 0.979458 + 0.201646i \(0.0646291\pi\)
−0.315099 + 0.949059i \(0.602038\pi\)
\(264\) −61.4688 25.5834i −0.232836 0.0969068i
\(265\) −307.176 177.348i −1.15915 0.669237i
\(266\) 703.272 33.4145i 2.64388 0.125618i
\(267\) −8.75412 + 4.90096i −0.0327870 + 0.0183557i
\(268\) −183.138 151.287i −0.683350 0.564503i
\(269\) 163.048 + 163.048i 0.606127 + 0.606127i 0.941932 0.335805i \(-0.109008\pi\)
−0.335805 + 0.941932i \(0.609008\pi\)
\(270\) 225.721 + 384.016i 0.836004 + 1.42228i
\(271\) 82.6056 0.304818 0.152409 0.988318i \(-0.451297\pi\)
0.152409 + 0.988318i \(0.451297\pi\)
\(272\) −59.3204 20.5636i −0.218090 0.0756015i
\(273\) 129.940 + 36.6661i 0.475970 + 0.134308i
\(274\) −12.7583 + 14.0311i −0.0465631 + 0.0512085i
\(275\) 115.345 30.9065i 0.419435 0.112387i
\(276\) −131.283 189.719i −0.475662 0.687388i
\(277\) 110.166 411.143i 0.397709 1.48427i −0.419407 0.907799i \(-0.637762\pi\)
0.817116 0.576473i \(-0.195572\pi\)
\(278\) 154.515 + 240.495i 0.555810 + 0.865091i
\(279\) 90.0882 + 166.031i 0.322897 + 0.595092i
\(280\) 110.839 + 772.924i 0.395854 + 2.76044i
\(281\) 87.7675 + 152.018i 0.312340 + 0.540989i 0.978868 0.204491i \(-0.0655538\pi\)
−0.666528 + 0.745480i \(0.732221\pi\)
\(282\) −484.910 112.286i −1.71954 0.398177i
\(283\) 193.558 51.8638i 0.683952 0.183264i 0.0999205 0.994995i \(-0.468141\pi\)
0.584031 + 0.811731i \(0.301474\pi\)
\(284\) −141.649 + 100.816i −0.498765 + 0.354985i
\(285\) −736.196 9.73857i −2.58315 0.0341704i
\(286\) 20.1021 6.42322i 0.0702870 0.0224588i
\(287\) 361.442i 1.25938i
\(288\) −156.496 + 241.771i −0.543388 + 0.839482i
\(289\) 273.602 0.946721
\(290\) 181.672 + 568.559i 0.626454 + 1.96055i
\(291\) 311.047 + 185.112i 1.06889 + 0.636122i
\(292\) −149.230 209.673i −0.511062 0.718059i
\(293\) −79.0309 294.947i −0.269730 1.00665i −0.959291 0.282419i \(-0.908863\pi\)
0.689561 0.724228i \(-0.257803\pi\)
\(294\) −522.268 + 159.298i −1.77642 + 0.541831i
\(295\) 332.624 192.041i 1.12754 0.650985i
\(296\) 12.5250 + 87.3415i 0.0423142 + 0.295073i
\(297\) −22.2413 + 71.5244i −0.0748864 + 0.240823i
\(298\) 189.544 121.779i 0.636053 0.408656i
\(299\) 70.6354 + 18.9267i 0.236239 + 0.0633000i
\(300\) −42.1680 514.813i −0.140560 1.71604i
\(301\) 84.1944 + 314.218i 0.279716 + 1.04391i
\(302\) 38.3572 + 34.8776i 0.127011 + 0.115489i
\(303\) −274.773 + 69.7433i −0.906842 + 0.230176i
\(304\) −207.788 428.284i −0.683513 1.40883i
\(305\) 452.932i 1.48502i
\(306\) −16.8426 + 68.5940i −0.0550412 + 0.224163i
\(307\) −199.964 + 199.964i −0.651348 + 0.651348i −0.953318 0.301969i \(-0.902356\pi\)
0.301969 + 0.953318i \(0.402356\pi\)
\(308\) −83.6220 + 101.227i −0.271500 + 0.328660i
\(309\) 387.847 + 5.13053i 1.25517 + 0.0166037i
\(310\) −16.4335 345.876i −0.0530114 1.11573i
\(311\) 250.280 433.498i 0.804760 1.39389i −0.111693 0.993743i \(-0.535627\pi\)
0.916453 0.400142i \(-0.131039\pi\)
\(312\) −11.7616 90.5241i −0.0376974 0.290141i
\(313\) −449.335 + 259.424i −1.43558 + 0.828830i −0.997538 0.0701259i \(-0.977660\pi\)
−0.438038 + 0.898956i \(0.644327\pi\)
\(314\) 333.044 213.977i 1.06065 0.681454i
\(315\) 854.220 204.832i 2.71181 0.650259i
\(316\) 218.545 + 99.8709i 0.691597 + 0.316047i
\(317\) 86.1147 321.384i 0.271655 1.01383i −0.686395 0.727229i \(-0.740808\pi\)
0.958050 0.286602i \(-0.0925257\pi\)
\(318\) −257.843 + 8.83450i −0.810827 + 0.0277815i
\(319\) −50.1837 + 86.9207i −0.157316 + 0.272479i
\(320\) 450.993 274.439i 1.40935 0.857622i
\(321\) 47.2824 167.562i 0.147297 0.522001i
\(322\) −433.391 + 138.481i −1.34594 + 0.430067i
\(323\) −82.5514 82.5514i −0.255577 0.255577i
\(324\) 287.153 + 150.063i 0.886276 + 0.463157i
\(325\) 115.769 + 115.769i 0.356213 + 0.356213i
\(326\) 127.350 + 65.6731i 0.390643 + 0.201451i
\(327\) −63.6980 + 225.737i −0.194795 + 0.690328i
\(328\) 224.681 96.1160i 0.685002 0.293037i
\(329\) −490.785 + 850.065i −1.49175 + 2.58379i
\(330\) 93.7068 100.356i 0.283960 0.304109i
\(331\) −33.7304 + 125.884i −0.101905 + 0.380313i −0.997976 0.0635976i \(-0.979743\pi\)
0.896071 + 0.443911i \(0.146409\pi\)
\(332\) −108.634 291.477i −0.327210 0.877942i
\(333\) 96.5281 23.1463i 0.289874 0.0695083i
\(334\) 232.848 + 50.6829i 0.697149 + 0.151745i
\(335\) 424.240 244.935i 1.26639 0.731150i
\(336\) 366.006 + 434.290i 1.08930 + 1.29253i
\(337\) −53.1122 + 91.9930i −0.157603 + 0.272976i −0.934004 0.357263i \(-0.883710\pi\)
0.776401 + 0.630239i \(0.217043\pi\)
\(338\) −228.668 207.925i −0.676534 0.615162i
\(339\) −66.3721 0.877984i −0.195788 0.00258992i
\(340\) 82.4595 99.8199i 0.242528 0.293588i
\(341\) 41.1719 41.1719i 0.120739 0.120739i
\(342\) −458.054 + 277.456i −1.33934 + 0.811275i
\(343\) 496.999i 1.44898i
\(344\) 172.936 135.895i 0.502720 0.395044i
\(345\) 461.160 117.052i 1.33670 0.339282i
\(346\) −536.087 + 25.4710i −1.54938 + 0.0736157i
\(347\) −70.0119 261.288i −0.201763 0.752991i −0.990412 0.138147i \(-0.955885\pi\)
0.788648 0.614845i \(-0.210781\pi\)
\(348\) 331.027 + 280.905i 0.951228 + 0.807197i
\(349\) 363.357 + 97.3612i 1.04114 + 0.278972i 0.738585 0.674161i \(-0.235495\pi\)
0.302553 + 0.953133i \(0.402161\pi\)
\(350\) −995.332 216.649i −2.84380 0.618997i
\(351\) −100.173 + 22.6233i −0.285392 + 0.0644539i
\(352\) 85.1623 + 25.0627i 0.241938 + 0.0712008i
\(353\) −9.07351 + 5.23859i −0.0257040 + 0.0148402i −0.512797 0.858510i \(-0.671391\pi\)
0.487093 + 0.873350i \(0.338057\pi\)
\(354\) 131.317 246.581i 0.370953 0.696557i
\(355\) −92.7984 346.328i −0.261404 0.975573i
\(356\) 10.8984 7.75667i 0.0306134 0.0217884i
\(357\) 119.696 + 71.2340i 0.335283 + 0.199535i
\(358\) −207.317 + 402.018i −0.579098 + 1.12295i
\(359\) −74.5123 −0.207555 −0.103778 0.994601i \(-0.533093\pi\)
−0.103778 + 0.994601i \(0.533093\pi\)
\(360\) −354.485 476.533i −0.984682 1.32370i
\(361\) 524.170i 1.45199i
\(362\) 85.0595 164.943i 0.234971 0.455643i
\(363\) −339.882 4.49604i −0.936314 0.0123858i
\(364\) −177.519 29.8961i −0.487689 0.0821321i
\(365\) 512.645 137.363i 1.40451 0.376336i
\(366\) 174.397 + 279.502i 0.476495 + 0.763667i
\(367\) 101.461 + 175.736i 0.276461 + 0.478845i 0.970503 0.241090i \(-0.0775049\pi\)
−0.694042 + 0.719935i \(0.744172\pi\)
\(368\) 201.332 + 232.581i 0.547099 + 0.632012i
\(369\) −131.116 241.643i −0.355327 0.654860i
\(370\) −177.798 38.7004i −0.480535 0.104596i
\(371\) −131.681 + 491.442i −0.354937 + 1.32464i
\(372\) −143.317 207.111i −0.385262 0.556750i
\(373\) −100.490 + 26.9263i −0.269411 + 0.0721886i −0.390996 0.920393i \(-0.627869\pi\)
0.121584 + 0.992581i \(0.461203\pi\)
\(374\) 21.7470 1.03326i 0.0581472 0.00276274i
\(375\) 429.766 + 121.270i 1.14604 + 0.323388i
\(376\) 658.932 + 79.0311i 1.75248 + 0.210189i
\(377\) −137.609 −0.365011
\(378\) 448.267 455.310i 1.18589 1.20452i
\(379\) −242.350 242.350i −0.639447 0.639447i 0.310972 0.950419i \(-0.399345\pi\)
−0.950419 + 0.310972i \(0.899345\pi\)
\(380\) 977.259 93.0749i 2.57173 0.244934i
\(381\) 69.5183 38.9196i 0.182463 0.102151i
\(382\) 288.404 + 262.241i 0.754984 + 0.686495i
\(383\) −400.241 231.079i −1.04502 0.603340i −0.123766 0.992311i \(-0.539497\pi\)
−0.921250 + 0.388971i \(0.872831\pi\)
\(384\) 172.635 343.006i 0.449571 0.893244i
\(385\) −135.385 234.494i −0.351649 0.609074i
\(386\) −378.402 82.3649i −0.980316 0.213381i
\(387\) −170.273 179.529i −0.439982 0.463900i
\(388\) −438.954 200.594i −1.13133 0.516995i
\(389\) 657.901 + 176.284i 1.69126 + 0.453172i 0.970715 0.240234i \(-0.0772241\pi\)
0.720547 + 0.693406i \(0.243891\pi\)
\(390\) 183.398 + 42.4677i 0.470251 + 0.108891i
\(391\) 65.3353 + 37.7213i 0.167098 + 0.0964740i
\(392\) 669.353 286.342i 1.70753 0.730465i
\(393\) 188.485 183.563i 0.479605 0.467082i
\(394\) −243.738 125.694i −0.618624 0.319019i
\(395\) −350.385 + 350.385i −0.887051 + 0.887051i
\(396\) 19.1849 98.0102i 0.0484468 0.247501i
\(397\) −159.582 + 159.582i −0.401971 + 0.401971i −0.878927 0.476956i \(-0.841740\pi\)
0.476956 + 0.878927i \(0.341740\pi\)
\(398\) −707.710 + 226.135i −1.77817 + 0.568177i
\(399\) 259.821 + 1023.64i 0.651181 + 2.56551i
\(400\) 130.008 + 676.334i 0.325021 + 1.69083i
\(401\) −56.8821 32.8409i −0.141851 0.0818975i 0.427395 0.904065i \(-0.359431\pi\)
−0.569246 + 0.822167i \(0.692765\pi\)
\(402\) 167.487 314.498i 0.416634 0.782334i
\(403\) 77.1106 + 20.6617i 0.191341 + 0.0512698i
\(404\) 354.182 132.004i 0.876688 0.326743i
\(405\) −496.787 + 446.815i −1.22664 + 1.10325i
\(406\) 720.310 462.790i 1.77416 1.13988i
\(407\) −15.2987 26.4981i −0.0375890 0.0651060i
\(408\) 12.4507 93.3487i 0.0305163 0.228796i
\(409\) −335.140 193.493i −0.819412 0.473088i 0.0308016 0.999526i \(-0.490194\pi\)
−0.850214 + 0.526438i \(0.823527\pi\)
\(410\) 23.9176 + 503.392i 0.0583356 + 1.22779i
\(411\) −24.4451 14.5479i −0.0594772 0.0353963i
\(412\) −514.845 + 49.0343i −1.24962 + 0.119015i
\(413\) −389.565 389.565i −0.943257 0.943257i
\(414\) 239.510 249.798i 0.578527 0.603377i
\(415\) 641.483 1.54574
\(416\) 28.6224 + 118.300i 0.0688039 + 0.284375i
\(417\) −307.178 + 299.158i −0.736639 + 0.717405i
\(418\) 122.133 + 111.053i 0.292183 + 0.265678i
\(419\) 178.007 47.6969i 0.424838 0.113835i −0.0400640 0.999197i \(-0.512756\pi\)
0.464902 + 0.885362i \(0.346090\pi\)
\(420\) −1102.81 + 394.487i −2.62575 + 0.939254i
\(421\) 109.443 408.445i 0.259959 0.970178i −0.705306 0.708903i \(-0.749190\pi\)
0.965264 0.261275i \(-0.0841430\pi\)
\(422\) 341.261 219.256i 0.808675 0.519564i
\(423\) 19.7492 746.350i 0.0466885 1.76442i
\(424\) 340.509 48.8298i 0.803087 0.115165i
\(425\) 84.4532 + 146.277i 0.198713 + 0.344182i
\(426\) −190.616 177.987i −0.447456 0.417809i
\(427\) 627.551 168.152i 1.46967 0.393798i
\(428\) −38.5521 + 228.917i −0.0900750 + 0.534854i
\(429\) 15.4635 + 27.6210i 0.0360455 + 0.0643847i
\(430\) 138.053 + 432.050i 0.321053 + 1.00477i
\(431\) 37.0540i 0.0859722i −0.999076 0.0429861i \(-0.986313\pi\)
0.999076 0.0429861i \(-0.0136871\pi\)
\(432\) −402.236 157.575i −0.931103 0.364758i
\(433\) −250.255 −0.577956 −0.288978 0.957336i \(-0.593315\pi\)
−0.288978 + 0.957336i \(0.593315\pi\)
\(434\) −473.120 + 151.176i −1.09014 + 0.348332i
\(435\) −781.222 + 437.364i −1.79591 + 1.00543i
\(436\) 51.9368 308.394i 0.119121 0.707325i
\(437\) 148.047 + 552.520i 0.338781 + 1.26435i
\(438\) 263.461 282.155i 0.601509 0.644190i
\(439\) 119.005 68.7077i 0.271082 0.156510i −0.358297 0.933608i \(-0.616642\pi\)
0.629379 + 0.777098i \(0.283309\pi\)
\(440\) −109.765 + 146.516i −0.249465 + 0.332991i
\(441\) −390.611 719.887i −0.885738 1.63240i
\(442\) 16.1350 + 25.1134i 0.0365046 + 0.0568176i
\(443\) 175.905 + 47.1336i 0.397077 + 0.106396i 0.451831 0.892103i \(-0.350771\pi\)
−0.0547544 + 0.998500i \(0.517438\pi\)
\(444\) −124.620 + 44.5776i −0.280675 + 0.100400i
\(445\) 7.13983 + 26.6462i 0.0160446 + 0.0598791i
\(446\) 257.284 282.952i 0.576869 0.634421i
\(447\) 235.778 + 242.099i 0.527468 + 0.541610i
\(448\) −547.676 522.978i −1.22249 1.16736i
\(449\) 884.249i 1.96937i −0.174330 0.984687i \(-0.555776\pi\)
0.174330 0.984687i \(-0.444224\pi\)
\(450\) 744.023 216.222i 1.65339 0.480493i
\(451\) −59.9222 + 59.9222i −0.132865 + 0.132865i
\(452\) 88.1051 8.39120i 0.194923 0.0185646i
\(453\) −39.7698 + 66.8261i −0.0877921 + 0.147519i
\(454\) −427.359 + 20.3051i −0.941320 + 0.0447248i
\(455\) 185.620 321.503i 0.407956 0.706601i
\(456\) 567.225 433.721i 1.24391 0.951142i
\(457\) 183.097 105.711i 0.400651 0.231316i −0.286114 0.958196i \(-0.592364\pi\)
0.686765 + 0.726880i \(0.259030\pi\)
\(458\) −468.248 728.805i −1.02238 1.59128i
\(459\) −105.864 4.20313i −0.230640 0.00915715i
\(460\) −594.435 + 221.546i −1.29225 + 0.481623i
\(461\) −154.548 + 576.780i −0.335245 + 1.25115i 0.568359 + 0.822781i \(0.307578\pi\)
−0.903604 + 0.428369i \(0.859088\pi\)
\(462\) −173.835 92.5763i −0.376267 0.200382i
\(463\) −173.294 + 300.154i −0.374285 + 0.648280i −0.990220 0.139517i \(-0.955445\pi\)
0.615935 + 0.787797i \(0.288778\pi\)
\(464\) −479.229 324.695i −1.03282 0.699773i
\(465\) 503.435 127.783i 1.08266 0.274801i
\(466\) 72.8981 + 228.142i 0.156434 + 0.489574i
\(467\) 471.632 + 471.632i 1.00992 + 1.00992i 0.999950 + 0.00996903i \(0.00317329\pi\)
0.00996903 + 0.999950i \(0.496827\pi\)
\(468\) 129.526 44.4091i 0.276765 0.0948912i
\(469\) −496.865 496.865i −1.05941 1.05941i
\(470\) −627.282 + 1216.39i −1.33464 + 2.58807i
\(471\) 414.282 + 425.389i 0.879579 + 0.903161i
\(472\) −138.568 + 345.758i −0.293577 + 0.732537i
\(473\) −38.1348 + 66.0513i −0.0806232 + 0.139643i
\(474\) −81.3086 + 351.134i −0.171537 + 0.740788i
\(475\) −331.459 + 1237.02i −0.697808 + 2.60425i
\(476\) −168.917 77.1918i −0.354867 0.162168i
\(477\) −90.2379 376.324i −0.189178 0.788938i
\(478\) −77.0447 + 353.959i −0.161181 + 0.740501i
\(479\) −532.290 + 307.318i −1.11125 + 0.641582i −0.939154 0.343497i \(-0.888388\pi\)
−0.172100 + 0.985080i \(0.555055\pi\)
\(480\) 538.486 + 580.631i 1.12185 + 1.20965i
\(481\) 20.9753 36.3303i 0.0436078 0.0755309i
\(482\) 237.409 261.094i 0.492550 0.541689i
\(483\) −333.386 595.496i −0.690240 1.23291i
\(484\) 451.174 42.9702i 0.932178 0.0887813i
\(485\) 703.760 703.760i 1.45105 1.45105i
\(486\) −134.523 + 467.011i −0.276797 + 0.960928i
\(487\) 614.270i 1.26134i 0.776053 + 0.630668i \(0.217219\pi\)
−0.776053 + 0.630668i \(0.782781\pi\)
\(488\) −271.408 345.385i −0.556163 0.707755i
\(489\) −58.3689 + 206.852i −0.119364 + 0.423009i
\(490\) 71.2537 + 1499.67i 0.145416 + 3.06055i
\(491\) −155.929 581.936i −0.317575 1.18521i −0.921568 0.388216i \(-0.873091\pi\)
0.603994 0.796989i \(-0.293575\pi\)
\(492\) 208.586 + 301.432i 0.423955 + 0.612666i
\(493\) −137.129 36.7436i −0.278152 0.0745305i
\(494\) −48.1358 + 221.146i −0.0974409 + 0.447664i
\(495\) 175.576 + 107.660i 0.354700 + 0.217494i
\(496\) 219.789 + 253.901i 0.443122 + 0.511898i
\(497\) −445.397 + 257.150i −0.896171 + 0.517404i
\(498\) 395.856 246.997i 0.794892 0.495978i
\(499\) 63.3752 + 236.520i 0.127004 + 0.473987i 0.999903 0.0139143i \(-0.00442920\pi\)
−0.872899 + 0.487901i \(0.837763\pi\)
\(500\) −587.130 98.8790i −1.17426 0.197758i
\(501\) −4.72801 + 357.419i −0.00943715 + 0.713410i
\(502\) 353.283 + 182.185i 0.703750 + 0.362918i
\(503\) 201.129 0.399860 0.199930 0.979810i \(-0.435929\pi\)
0.199930 + 0.979810i \(0.435929\pi\)
\(504\) −528.648 + 668.064i −1.04890 + 1.32552i
\(505\) 779.485i 1.54353i
\(506\) −94.8088 48.8920i −0.187369 0.0966246i
\(507\) 237.090 398.388i 0.467633 0.785774i
\(508\) −86.5463 + 61.5973i −0.170367 + 0.121255i
\(509\) 20.6499 5.53312i 0.0405695 0.0108706i −0.238477 0.971148i \(-0.576648\pi\)
0.279047 + 0.960278i \(0.409982\pi\)
\(510\) 171.418 + 91.2893i 0.336115 + 0.178999i
\(511\) −380.641 659.289i −0.744894 1.29019i
\(512\) −179.455 + 479.520i −0.350499 + 0.936563i
\(513\) −545.036 590.105i −1.06245 1.15030i
\(514\) 66.6447 306.180i 0.129659 0.595681i
\(515\) 276.039 1030.19i 0.535999 2.00038i
\(516\) 251.549 + 213.460i 0.487498 + 0.413683i
\(517\) −222.295 + 59.5637i −0.429971 + 0.115210i
\(518\) 12.3872 + 260.712i 0.0239135 + 0.503305i
\(519\) −198.055 780.295i −0.381610 1.50346i
\(520\) −249.215 29.8903i −0.479259 0.0574814i
\(521\) −967.000 −1.85605 −0.928023 0.372522i \(-0.878493\pi\)
−0.928023 + 0.372522i \(0.878493\pi\)
\(522\) −313.686 + 570.698i −0.600930 + 1.09329i
\(523\) −178.676 178.676i −0.341637 0.341637i 0.515346 0.856982i \(-0.327664\pi\)
−0.856982 + 0.515346i \(0.827664\pi\)
\(524\) −223.418 + 270.455i −0.426370 + 0.516135i
\(525\) 20.2104 1527.82i 0.0384959 2.91014i
\(526\) 470.190 517.099i 0.893898 0.983078i
\(527\) 71.3246 + 41.1793i 0.135341 + 0.0781390i
\(528\) −11.3207 + 132.678i −0.0214407 + 0.251285i
\(529\) 79.6788 + 138.008i 0.150622 + 0.260884i
\(530\) −150.877 + 693.161i −0.284674 + 1.30785i
\(531\) 401.763 + 119.128i 0.756616 + 0.224346i
\(532\) −491.767 1319.47i −0.924374 2.48020i
\(533\) −112.228 30.0713i −0.210559 0.0564190i
\(534\) 14.6658 + 13.6941i 0.0274641 + 0.0256445i
\(535\) −414.591 239.364i −0.774936 0.447409i
\(536\) −176.735 + 440.991i −0.329729 + 0.822745i
\(537\) −652.990 184.259i −1.21600 0.343127i
\(538\) 211.370 409.878i 0.392882 0.761855i
\(539\) −178.516 + 178.516i −0.331199 + 0.331199i
\(540\) 594.187 663.789i 1.10035 1.22924i
\(541\) 359.042 359.042i 0.663664 0.663664i −0.292577 0.956242i \(-0.594513\pi\)
0.956242 + 0.292577i \(0.0945129\pi\)
\(542\) −50.2852 157.373i −0.0927772 0.290355i
\(543\) 267.913 + 75.5991i 0.493395 + 0.139225i
\(544\) −3.06524 + 125.530i −0.00563463 + 0.230753i
\(545\) 558.530 + 322.467i 1.02482 + 0.591683i
\(546\) −9.24657 269.870i −0.0169351 0.494267i
\(547\) −376.387 100.853i −0.688094 0.184374i −0.102202 0.994764i \(-0.532589\pi\)
−0.585892 + 0.810389i \(0.699256\pi\)
\(548\) 34.4973 + 15.7646i 0.0629513 + 0.0287676i
\(549\) −358.553 + 340.067i −0.653102 + 0.619429i
\(550\) −129.095 200.930i −0.234718 0.365327i
\(551\) −538.198 932.187i −0.976766 1.69181i
\(552\) −281.519 + 365.597i −0.509998 + 0.662314i
\(553\) 615.550 + 355.388i 1.11311 + 0.642655i
\(554\) −850.334 + 40.4018i −1.53490 + 0.0729275i
\(555\) 3.61021 272.918i 0.00650489 0.491743i
\(556\) 364.110 440.767i 0.654874 0.792746i
\(557\) 149.458 + 149.458i 0.268327 + 0.268327i 0.828426 0.560099i \(-0.189237\pi\)
−0.560099 + 0.828426i \(0.689237\pi\)
\(558\) 261.466 272.697i 0.468577 0.488705i
\(559\) −104.570 −0.187065
\(560\) 1405.03 681.670i 2.50898 1.21727i
\(561\) 8.03436 + 31.6536i 0.0143215 + 0.0564236i
\(562\) 236.183 259.746i 0.420254 0.462181i
\(563\) −459.101 + 123.016i −0.815454 + 0.218500i −0.642358 0.766405i \(-0.722044\pi\)
−0.173096 + 0.984905i \(0.555377\pi\)
\(564\) 81.2671 + 992.159i 0.144091 + 1.75915i
\(565\) −47.2384 + 176.296i −0.0836078 + 0.312029i
\(566\) −216.633 337.178i −0.382743 0.595721i
\(567\) 803.509 + 522.433i 1.41712 + 0.921399i
\(568\) 278.292 + 208.487i 0.489951 + 0.367054i
\(569\) −108.156 187.331i −0.190080 0.329229i 0.755196 0.655499i \(-0.227542\pi\)
−0.945277 + 0.326270i \(0.894208\pi\)
\(570\) 429.599 + 1408.46i 0.753682 + 2.47099i
\(571\) −768.673 + 205.965i −1.34619 + 0.360710i −0.858726 0.512434i \(-0.828744\pi\)
−0.487462 + 0.873144i \(0.662077\pi\)
\(572\) −24.4739 34.3866i −0.0427865 0.0601164i
\(573\) −299.025 + 502.459i −0.521859 + 0.876892i
\(574\) 688.586 220.024i 1.19963 0.383317i
\(575\) 827.582i 1.43927i
\(576\) 555.865 + 150.966i 0.965043 + 0.262093i
\(577\) 944.816 1.63746 0.818731 0.574177i \(-0.194678\pi\)
0.818731 + 0.574177i \(0.194678\pi\)
\(578\) −166.553 521.242i −0.288153 0.901803i
\(579\) 7.68351 580.842i 0.0132703 1.00318i
\(580\) 972.576 692.209i 1.67686 1.19346i
\(581\) −238.152 888.794i −0.409900 1.52977i
\(582\) 163.311 705.264i 0.280603 1.21179i
\(583\) −103.305 + 59.6434i −0.177196 + 0.102304i
\(584\) −308.608 + 411.936i −0.528438 + 0.705370i
\(585\) −7.46935 + 282.277i −0.0127681 + 0.482525i
\(586\) −513.797 + 330.108i −0.876787 + 0.563325i
\(587\) 946.206 + 253.535i 1.61193 + 0.431917i 0.948618 0.316423i \(-0.102482\pi\)
0.663316 + 0.748339i \(0.269148\pi\)
\(588\) 621.405 + 898.005i 1.05681 + 1.52722i
\(589\) 161.619 + 603.170i 0.274395 + 1.02406i
\(590\) −568.339 516.782i −0.963287 0.875902i
\(591\) 111.714 395.899i 0.189025 0.669880i
\(592\) 158.771 77.0297i 0.268194 0.130118i
\(593\) 204.282i 0.344488i 0.985054 + 0.172244i \(0.0551018\pi\)
−0.985054 + 0.172244i \(0.944898\pi\)
\(594\) 149.801 1.16769i 0.252190 0.00196582i
\(595\) 270.818 270.818i 0.455157 0.455157i
\(596\) −347.386 286.969i −0.582862 0.481492i
\(597\) −544.406 972.420i −0.911902 1.62884i
\(598\) −6.94113 146.090i −0.0116072 0.244297i
\(599\) 98.0223 169.780i 0.163643 0.283438i −0.772529 0.634979i \(-0.781009\pi\)
0.936173 + 0.351541i \(0.114342\pi\)
\(600\) −955.104 + 393.721i −1.59184 + 0.656202i
\(601\) 782.157 451.579i 1.30143 0.751379i 0.320778 0.947155i \(-0.396056\pi\)
0.980649 + 0.195776i \(0.0627225\pi\)
\(602\) 547.366 351.676i 0.909246 0.584179i
\(603\) 512.422 + 151.940i 0.849788 + 0.251973i
\(604\) 43.0961 94.3059i 0.0713511 0.156136i
\(605\) −241.901 + 902.789i −0.399837 + 1.49221i
\(606\) 300.134 + 481.017i 0.495270 + 0.793757i
\(607\) −225.044 + 389.788i −0.370748 + 0.642154i −0.989681 0.143290i \(-0.954232\pi\)
0.618933 + 0.785444i \(0.287565\pi\)
\(608\) −689.439 + 656.572i −1.13395 + 1.07989i
\(609\) 896.011 + 920.034i 1.47128 + 1.51073i
\(610\) 862.884 275.717i 1.41456 0.451995i
\(611\) −223.113 223.113i −0.365161 0.365161i
\(612\) 140.932 9.66887i 0.230281 0.0157988i
\(613\) 614.419 + 614.419i 1.00231 + 1.00231i 0.999997 + 0.00231754i \(0.000737697\pi\)
0.00231754 + 0.999997i \(0.499262\pi\)
\(614\) 502.679 + 259.227i 0.818695 + 0.422194i
\(615\) −732.706 + 185.976i −1.19139 + 0.302401i
\(616\) 243.753 + 97.6880i 0.395702 + 0.158584i
\(617\) −18.9956 + 32.9014i −0.0307871 + 0.0533248i −0.881008 0.473101i \(-0.843135\pi\)
0.850221 + 0.526425i \(0.176468\pi\)
\(618\) −226.324 742.015i −0.366220 1.20067i
\(619\) −90.6486 + 338.305i −0.146444 + 0.546535i 0.853243 + 0.521513i \(0.174632\pi\)
−0.999687 + 0.0250218i \(0.992034\pi\)
\(620\) −648.927 + 241.856i −1.04666 + 0.390090i
\(621\) 438.907 + 277.183i 0.706774 + 0.446349i
\(622\) −978.217 212.924i −1.57270 0.342321i
\(623\) 34.2685 19.7849i 0.0550056 0.0317575i
\(624\) −165.298 + 77.5127i −0.264901 + 0.124219i
\(625\) 75.8652 131.402i 0.121384 0.210244i
\(626\) 767.759 + 698.111i 1.22645 + 1.11519i
\(627\) −126.631 + 212.780i −0.201963 + 0.339362i
\(628\) −610.386 504.229i −0.971952 0.802912i
\(629\) 30.6029 30.6029i 0.0486532 0.0486532i
\(630\) −910.223 1502.69i −1.44480 2.38522i
\(631\) 1257.04i 1.99213i 0.0885985 + 0.996067i \(0.471761\pi\)
−0.0885985 + 0.996067i \(0.528239\pi\)
\(632\) 57.2281 477.147i 0.0905507 0.754979i
\(633\) 424.503 + 435.884i 0.670620 + 0.688600i
\(634\) −664.693 + 31.5815i −1.04841 + 0.0498131i
\(635\) −56.6989 211.603i −0.0892896 0.333233i
\(636\) 173.790 + 485.841i 0.273254 + 0.763901i
\(637\) −334.341 89.5865i −0.524869 0.140638i
\(638\) 196.142 + 42.6933i 0.307433 + 0.0669174i
\(639\) 204.489 333.489i 0.320014 0.521893i
\(640\) −797.373 692.128i −1.24590 1.08145i
\(641\) −573.322 + 331.008i −0.894418 + 0.516392i −0.875385 0.483426i \(-0.839392\pi\)
−0.0190329 + 0.999819i \(0.506059\pi\)
\(642\) −348.007 + 11.9238i −0.542067 + 0.0185729i
\(643\) 67.4646 + 251.781i 0.104922 + 0.391573i 0.998336 0.0576603i \(-0.0183640\pi\)
−0.893415 + 0.449233i \(0.851697\pi\)
\(644\) 527.644 + 741.358i 0.819324 + 1.15118i
\(645\) −593.653 + 332.354i −0.920392 + 0.515278i
\(646\) −107.017 + 207.522i −0.165661 + 0.321241i
\(647\) −533.739 −0.824945 −0.412472 0.910970i \(-0.635335\pi\)
−0.412472 + 0.910970i \(0.635335\pi\)
\(648\) 111.085 638.408i 0.171427 0.985197i
\(649\) 129.169i 0.199028i
\(650\) 150.080 291.026i 0.230892 0.447732i
\(651\) −363.948 650.085i −0.559060 0.998595i
\(652\) 47.5916 282.593i 0.0729933 0.433424i
\(653\) −26.3107 + 7.04993i −0.0402921 + 0.0107962i −0.278909 0.960318i \(-0.589973\pi\)
0.238617 + 0.971114i \(0.423306\pi\)
\(654\) 468.829 16.0636i 0.716864 0.0245620i
\(655\) −361.716 626.511i −0.552238 0.956505i
\(656\) −319.883 369.531i −0.487627 0.563310i
\(657\) 493.640 + 302.690i 0.751355 + 0.460715i
\(658\) 1918.23 + 417.531i 2.91524 + 0.634546i
\(659\) −21.2990 + 79.4891i −0.0323202 + 0.120621i −0.980201 0.198004i \(-0.936554\pi\)
0.947881 + 0.318624i \(0.103221\pi\)
\(660\) −248.232 117.431i −0.376109 0.177926i
\(661\) 966.353 258.934i 1.46196 0.391730i 0.561792 0.827279i \(-0.310112\pi\)
0.900165 + 0.435549i \(0.143446\pi\)
\(662\) 260.355 12.3702i 0.393285 0.0186861i
\(663\) −32.0767 + 31.2391i −0.0483811 + 0.0471178i
\(664\) −489.165 + 384.392i −0.736694 + 0.578904i
\(665\) 2903.89 4.36675
\(666\) −102.857 169.806i −0.154439 0.254964i
\(667\) 491.852 + 491.852i 0.737410 + 0.737410i
\(668\) −45.1872 474.453i −0.0676456 0.710259i
\(669\) 492.960 + 293.372i 0.736861 + 0.438524i
\(670\) −724.880 659.122i −1.08191 0.983764i
\(671\) 131.917 + 76.1621i 0.196597 + 0.113505i
\(672\) 604.568 961.650i 0.899655 1.43103i
\(673\) 552.428 + 956.834i 0.820844 + 1.42174i 0.905054 + 0.425296i \(0.139830\pi\)
−0.0842097 + 0.996448i \(0.526837\pi\)
\(674\) 207.588 + 45.1847i 0.307994 + 0.0670396i
\(675\) 540.716 + 1028.76i 0.801061 + 1.52409i
\(676\) −256.919 + 562.210i −0.380058 + 0.831671i
\(677\) 234.049 + 62.7131i 0.345714 + 0.0926338i 0.427498 0.904016i \(-0.359395\pi\)
−0.0817839 + 0.996650i \(0.526062\pi\)
\(678\) 38.7306 + 126.980i 0.0571248 + 0.187287i
\(679\) −1236.35 713.809i −1.82084 1.05126i
\(680\) −240.364 96.3299i −0.353476 0.141662i
\(681\) −157.886 622.037i −0.231845 0.913418i
\(682\) −103.500 53.3740i −0.151759 0.0782610i
\(683\) 77.1808 77.1808i 0.113003 0.113003i −0.648344 0.761347i \(-0.724538\pi\)
0.761347 + 0.648344i \(0.224538\pi\)
\(684\) 807.419 + 703.743i 1.18044 + 1.02886i
\(685\) −55.3083 + 55.3083i −0.0807421 + 0.0807421i
\(686\) 946.838 302.543i 1.38023 0.441025i
\(687\) 930.885 906.578i 1.35500 1.31962i
\(688\) −364.168 246.737i −0.529314 0.358629i
\(689\) −141.637 81.7743i −0.205569 0.118685i
\(690\) −503.724 807.306i −0.730034 1.17001i
\(691\) −1084.08 290.479i −1.56886 0.420375i −0.633405 0.773821i \(-0.718343\pi\)
−0.935455 + 0.353446i \(0.885010\pi\)
\(692\) 374.862 + 1005.80i 0.541709 + 1.45347i
\(693\) 83.9828 283.235i 0.121187 0.408709i
\(694\) −455.163 + 292.437i −0.655854 + 0.421378i
\(695\) 589.498 + 1021.04i 0.848199 + 1.46912i
\(696\) 333.644 801.641i 0.479374 1.15178i
\(697\) −103.807 59.9328i −0.148934 0.0859868i
\(698\) −35.7060 751.502i −0.0511547 1.07665i
\(699\) −313.475 + 175.498i −0.448462 + 0.251070i
\(700\) 193.157 + 2028.10i 0.275939 + 2.89728i
\(701\) 206.982 + 206.982i 0.295266 + 0.295266i 0.839156 0.543890i \(-0.183049\pi\)
−0.543890 + 0.839156i \(0.683049\pi\)
\(702\) 104.079 + 177.068i 0.148261 + 0.252234i
\(703\) 328.144 0.466776
\(704\) −4.09451 177.500i −0.00581607 0.252131i
\(705\) −1975.76 557.515i −2.80250 0.790802i
\(706\) 15.5035 + 14.0971i 0.0219596 + 0.0199675i
\(707\) 1080.00 289.385i 1.52758 0.409314i
\(708\) −549.702 100.070i −0.776415 0.141342i
\(709\) −129.680 + 483.972i −0.182905 + 0.682612i 0.812164 + 0.583429i \(0.198290\pi\)
−0.995069 + 0.0991829i \(0.968377\pi\)
\(710\) −603.303 + 387.615i −0.849722 + 0.545936i
\(711\) −540.448 14.3008i −0.760124 0.0201137i
\(712\) −21.4116 16.0408i −0.0300724 0.0225292i
\(713\) −201.764 349.465i −0.282979 0.490134i
\(714\) 62.8447 271.397i 0.0880178 0.380108i
\(715\) 84.0742 22.5276i 0.117586 0.0315071i
\(716\) 892.089 + 150.237i 1.24593 + 0.209829i
\(717\) −543.323 7.18720i −0.757773 0.0100240i
\(718\) 45.3585 + 141.954i 0.0631735 + 0.197707i
\(719\) 122.645i 0.170577i 0.996356 + 0.0852883i \(0.0271811\pi\)
−0.996356 + 0.0852883i \(0.972819\pi\)
\(720\) −692.058 + 965.418i −0.961192 + 1.34086i
\(721\) −1529.84 −2.12184
\(722\) −998.600 + 319.083i −1.38310 + 0.441943i
\(723\) 454.880 + 270.710i 0.629156 + 0.374426i
\(724\) −366.013 61.6405i −0.505543 0.0851388i
\(725\) 403.065 + 1504.26i 0.555952 + 2.07484i
\(726\) 198.334 + 650.249i 0.273188 + 0.895660i
\(727\) −468.588 + 270.539i −0.644550 + 0.372131i −0.786365 0.617762i \(-0.788039\pi\)
0.141815 + 0.989893i \(0.454706\pi\)
\(728\) 51.1074 + 356.391i 0.0702025 + 0.489549i
\(729\) −726.705 57.7961i −0.996852 0.0792814i
\(730\) −573.758 893.026i −0.785970 1.22332i
\(731\) −104.205 27.9216i −0.142551 0.0381964i
\(732\) 426.319 502.389i 0.582404 0.686324i
\(733\) −65.3885 244.033i −0.0892066 0.332924i 0.906871 0.421409i \(-0.138464\pi\)
−0.996078 + 0.0884849i \(0.971797\pi\)
\(734\) 273.033 300.272i 0.371979 0.409090i
\(735\) −2182.83 + 554.048i −2.96983 + 0.753807i
\(736\) 320.532 525.141i 0.435506 0.713507i
\(737\) 164.747i 0.223537i
\(738\) −380.541 + 396.887i −0.515638 + 0.537787i
\(739\) 209.587 209.587i 0.283609 0.283609i −0.550937 0.834547i \(-0.685730\pi\)
0.834547 + 0.550937i \(0.185730\pi\)
\(740\) 34.5041 + 362.282i 0.0466271 + 0.489571i
\(741\) −339.457 4.49041i −0.458106 0.00605993i
\(742\) 1016.41 48.2925i 1.36982 0.0650843i
\(743\) −49.6392 + 85.9777i −0.0668092 + 0.115717i −0.897495 0.441024i \(-0.854615\pi\)
0.830686 + 0.556741i \(0.187949\pi\)
\(744\) −307.326 + 399.112i −0.413072 + 0.536440i
\(745\) 804.722 464.607i 1.08016 0.623633i
\(746\) 112.470 + 175.054i 0.150764 + 0.234657i
\(747\) 481.633 + 507.815i 0.644757 + 0.679806i
\(748\) −15.2068 40.8015i −0.0203299 0.0545474i
\(749\) −177.729 + 663.292i −0.237288 + 0.885571i
\(750\) −30.5824 892.574i −0.0407765 1.19010i
\(751\) 369.802 640.515i 0.492412 0.852883i −0.507549 0.861623i \(-0.669449\pi\)
0.999962 + 0.00873941i \(0.00278187\pi\)
\(752\) −250.555 1303.45i −0.333185 1.73331i
\(753\) −161.922 + 573.830i −0.215036 + 0.762059i
\(754\) 83.7680 + 262.160i 0.111098 + 0.347692i
\(755\) 151.197 + 151.197i 0.200261 + 0.200261i
\(756\) −1140.29 576.832i −1.50832 0.763005i
\(757\) 124.558 + 124.558i 0.164541 + 0.164541i 0.784575 0.620034i \(-0.212881\pi\)
−0.620034 + 0.784575i \(0.712881\pi\)
\(758\) −314.176 + 609.232i −0.414480 + 0.803736i
\(759\) 43.4542 153.996i 0.0572519 0.202893i
\(760\) −772.213 1805.13i −1.01607 2.37517i
\(761\) −468.638 + 811.705i −0.615818 + 1.06663i 0.374422 + 0.927258i \(0.377841\pi\)
−0.990240 + 0.139370i \(0.955492\pi\)
\(762\) −116.464 108.748i −0.152840 0.142714i
\(763\) 239.433 893.576i 0.313805 1.17114i
\(764\) 324.035 709.077i 0.424129 0.928111i
\(765\) −82.8153 + 279.298i −0.108255 + 0.365095i
\(766\) −196.589 + 903.170i −0.256643 + 1.17907i
\(767\) 153.371 88.5490i 0.199963 0.115448i
\(768\) −758.553 120.088i −0.987699 0.156365i
\(769\) 448.100 776.133i 0.582705 1.00928i −0.412452 0.910979i \(-0.635327\pi\)
0.995157 0.0982960i \(-0.0313392\pi\)
\(770\) −364.322 + 400.669i −0.473145 + 0.520349i
\(771\) 469.983 + 6.21703i 0.609575 + 0.00806360i
\(772\) 73.4340 + 771.035i 0.0951217 + 0.998750i
\(773\) −1085.47 + 1085.47i −1.40423 + 1.40423i −0.618234 + 0.785994i \(0.712152\pi\)