Properties

Label 144.3.w.a.5.4
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 5.4
Character \(\chi\) \(=\) 144.5
Dual form 144.3.w.a.29.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.88582 - 0.666085i) q^{2} +(2.99994 + 0.0192045i) q^{3} +(3.11266 + 2.51224i) q^{4} +(-0.345472 - 1.28932i) q^{5} +(-5.64456 - 2.03443i) q^{6} +(4.11923 - 2.37824i) q^{7} +(-4.19657 - 6.81093i) q^{8} +(8.99926 + 0.115225i) q^{9} +O(q^{10})\) \(q+(-1.88582 - 0.666085i) q^{2} +(2.99994 + 0.0192045i) q^{3} +(3.11266 + 2.51224i) q^{4} +(-0.345472 - 1.28932i) q^{5} +(-5.64456 - 2.03443i) q^{6} +(4.11923 - 2.37824i) q^{7} +(-4.19657 - 6.81093i) q^{8} +(8.99926 + 0.115225i) q^{9} +(-0.207297 + 2.66154i) q^{10} +(0.498663 + 0.133616i) q^{11} +(9.28955 + 7.59633i) q^{12} +(3.10316 + 11.5812i) q^{13} +(-9.35225 + 1.74118i) q^{14} +(-1.01163 - 3.87452i) q^{15} +(3.37733 + 15.6395i) q^{16} -12.5043i q^{17} +(-16.8943 - 6.21157i) q^{18} +(14.2044 - 14.2044i) q^{19} +(2.16374 - 4.88113i) q^{20} +(12.4031 - 7.05546i) q^{21} +(-0.851390 - 0.584128i) q^{22} +(0.183103 - 0.317144i) q^{23} +(-12.4586 - 20.5130i) q^{24} +(20.1076 - 11.6092i) q^{25} +(1.86202 - 23.9070i) q^{26} +(26.9950 + 0.518494i) q^{27} +(18.7965 + 2.94583i) q^{28} +(-0.734316 + 2.74050i) q^{29} +(-0.672991 + 7.98049i) q^{30} +(-14.3899 + 24.9240i) q^{31} +(4.04818 - 31.7429i) q^{32} +(1.49339 + 0.410417i) q^{33} +(-8.32891 + 23.5809i) q^{34} +(-4.48939 - 4.48939i) q^{35} +(27.7222 + 22.9669i) q^{36} +(-38.8945 - 38.8945i) q^{37} +(-36.2484 + 17.3257i) q^{38} +(9.08688 + 34.8023i) q^{39} +(-7.33167 + 7.76371i) q^{40} +(7.97394 - 13.8113i) q^{41} +(-28.0896 + 5.04383i) q^{42} +(-16.5064 + 61.6026i) q^{43} +(1.21649 + 1.66866i) q^{44} +(-2.96043 - 11.6427i) q^{45} +(-0.556545 + 0.476116i) q^{46} +(-67.2078 + 38.8024i) q^{47} +(9.83143 + 46.9824i) q^{48} +(-13.1880 + 22.8422i) q^{49} +(-45.6521 + 8.49942i) q^{50} +(0.240139 - 37.5121i) q^{51} +(-19.4355 + 43.8441i) q^{52} +(-10.3029 + 10.3029i) q^{53} +(-50.5625 - 18.9588i) q^{54} -0.689097i q^{55} +(-33.4847 - 18.0754i) q^{56} +(42.8852 - 42.3397i) q^{57} +(3.21020 - 4.67899i) q^{58} +(26.3048 + 98.1709i) q^{59} +(6.58482 - 14.6015i) q^{60} +(-36.2654 - 9.71727i) q^{61} +(43.7383 - 37.4174i) q^{62} +(37.3441 - 20.9278i) q^{63} +(-28.7776 + 57.1651i) q^{64} +(13.8598 - 8.00193i) q^{65} +(-2.54290 - 1.76870i) q^{66} +(-1.31178 - 4.89562i) q^{67} +(31.4137 - 38.9216i) q^{68} +(0.555389 - 0.947896i) q^{69} +(5.47589 + 11.4565i) q^{70} -77.3554 q^{71} +(-36.9812 - 61.7769i) q^{72} -105.834i q^{73} +(47.4412 + 99.2553i) q^{74} +(60.5446 - 34.4406i) q^{75} +(79.8986 - 8.52870i) q^{76} +(2.37188 - 0.635543i) q^{77} +(6.04506 - 71.6837i) q^{78} +(-17.3463 - 30.0446i) q^{79} +(18.9975 - 9.75747i) q^{80} +(80.9734 + 2.07388i) q^{81} +(-24.2369 + 20.7343i) q^{82} +(-17.2099 + 64.2283i) q^{83} +(56.3317 + 9.19829i) q^{84} +(-16.1220 + 4.31988i) q^{85} +(72.1607 - 105.177i) q^{86} +(-2.25553 + 8.20724i) q^{87} +(-1.18262 - 3.95709i) q^{88} -43.9825 q^{89} +(-2.17219 + 23.9280i) q^{90} +(40.3254 + 40.3254i) q^{91} +(1.36668 - 0.527164i) q^{92} +(-43.6475 + 74.4942i) q^{93} +(152.588 - 28.4084i) q^{94} +(-23.2213 - 13.4068i) q^{95} +(12.7539 - 95.1490i) q^{96} +(-88.1367 - 152.657i) q^{97} +(40.0850 - 34.2921i) q^{98} +(4.47220 + 1.25991i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.88582 0.666085i −0.942912 0.333042i
\(3\) 2.99994 + 0.0192045i 0.999980 + 0.00640151i
\(4\) 3.11266 + 2.51224i 0.778165 + 0.628059i
\(5\) −0.345472 1.28932i −0.0690944 0.257864i 0.922735 0.385435i \(-0.125949\pi\)
−0.991829 + 0.127571i \(0.959282\pi\)
\(6\) −5.64456 2.03443i −0.940761 0.339072i
\(7\) 4.11923 2.37824i 0.588462 0.339748i −0.176027 0.984385i \(-0.556325\pi\)
0.764489 + 0.644637i \(0.222991\pi\)
\(8\) −4.19657 6.81093i −0.524571 0.851367i
\(9\) 8.99926 + 0.115225i 0.999918 + 0.0128028i
\(10\) −0.207297 + 2.66154i −0.0207297 + 0.266154i
\(11\) 0.498663 + 0.133616i 0.0453330 + 0.0121469i 0.281414 0.959586i \(-0.409196\pi\)
−0.236081 + 0.971733i \(0.575863\pi\)
\(12\) 9.28955 + 7.59633i 0.774129 + 0.633028i
\(13\) 3.10316 + 11.5812i 0.238705 + 0.890858i 0.976444 + 0.215772i \(0.0692268\pi\)
−0.737739 + 0.675086i \(0.764107\pi\)
\(14\) −9.35225 + 1.74118i −0.668018 + 0.124370i
\(15\) −1.01163 3.87452i −0.0674423 0.258301i
\(16\) 3.37733 + 15.6395i 0.211083 + 0.977468i
\(17\) 12.5043i 0.735546i −0.929916 0.367773i \(-0.880120\pi\)
0.929916 0.367773i \(-0.119880\pi\)
\(18\) −16.8943 6.21157i −0.938571 0.345087i
\(19\) 14.2044 14.2044i 0.747602 0.747602i −0.226426 0.974028i \(-0.572704\pi\)
0.974028 + 0.226426i \(0.0727042\pi\)
\(20\) 2.16374 4.88113i 0.108187 0.244056i
\(21\) 12.4031 7.05546i 0.590624 0.335974i
\(22\) −0.851390 0.584128i −0.0386996 0.0265513i
\(23\) 0.183103 0.317144i 0.00796101 0.0137889i −0.862017 0.506879i \(-0.830799\pi\)
0.869978 + 0.493090i \(0.164133\pi\)
\(24\) −12.4586 20.5130i −0.519110 0.854707i
\(25\) 20.1076 11.6092i 0.804306 0.464366i
\(26\) 1.86202 23.9070i 0.0716160 0.919499i
\(27\) 26.9950 + 0.518494i 0.999816 + 0.0192035i
\(28\) 18.7965 + 2.94583i 0.671303 + 0.105208i
\(29\) −0.734316 + 2.74050i −0.0253212 + 0.0945001i −0.977430 0.211259i \(-0.932244\pi\)
0.952109 + 0.305759i \(0.0989103\pi\)
\(30\) −0.672991 + 7.98049i −0.0224330 + 0.266016i
\(31\) −14.3899 + 24.9240i −0.464190 + 0.804001i −0.999165 0.0408672i \(-0.986988\pi\)
0.534974 + 0.844868i \(0.320321\pi\)
\(32\) 4.04818 31.7429i 0.126506 0.991966i
\(33\) 1.49339 + 0.410417i 0.0452543 + 0.0124369i
\(34\) −8.32891 + 23.5809i −0.244968 + 0.693555i
\(35\) −4.48939 4.48939i −0.128268 0.128268i
\(36\) 27.7222 + 22.9669i 0.770061 + 0.637970i
\(37\) −38.8945 38.8945i −1.05120 1.05120i −0.998616 0.0525876i \(-0.983253\pi\)
−0.0525876 0.998616i \(-0.516747\pi\)
\(38\) −36.2484 + 17.3257i −0.953906 + 0.455940i
\(39\) 9.08688 + 34.8023i 0.232997 + 0.892368i
\(40\) −7.33167 + 7.76371i −0.183292 + 0.194093i
\(41\) 7.97394 13.8113i 0.194486 0.336860i −0.752246 0.658883i \(-0.771029\pi\)
0.946732 + 0.322022i \(0.104363\pi\)
\(42\) −28.0896 + 5.04383i −0.668801 + 0.120091i
\(43\) −16.5064 + 61.6026i −0.383869 + 1.43262i 0.456072 + 0.889943i \(0.349256\pi\)
−0.839942 + 0.542677i \(0.817411\pi\)
\(44\) 1.21649 + 1.66866i 0.0276476 + 0.0379241i
\(45\) −2.96043 11.6427i −0.0657874 0.258727i
\(46\) −0.556545 + 0.476116i −0.0120988 + 0.0103503i
\(47\) −67.2078 + 38.8024i −1.42995 + 0.825583i −0.997116 0.0758893i \(-0.975820\pi\)
−0.432836 + 0.901473i \(0.642487\pi\)
\(48\) 9.83143 + 46.9824i 0.204821 + 0.978799i
\(49\) −13.1880 + 22.8422i −0.269142 + 0.466168i
\(50\) −45.6521 + 8.49942i −0.913043 + 0.169988i
\(51\) 0.240139 37.5121i 0.00470860 0.735531i
\(52\) −19.4355 + 43.8441i −0.373760 + 0.843155i
\(53\) −10.3029 + 10.3029i −0.194394 + 0.194394i −0.797592 0.603198i \(-0.793893\pi\)
0.603198 + 0.797592i \(0.293893\pi\)
\(54\) −50.5625 18.9588i −0.936342 0.351088i
\(55\) 0.689097i 0.0125290i
\(56\) −33.4847 18.0754i −0.597940 0.322774i
\(57\) 42.8852 42.3397i 0.752373 0.742801i
\(58\) 3.21020 4.67899i 0.0553482 0.0806723i
\(59\) 26.3048 + 98.1709i 0.445844 + 1.66391i 0.713698 + 0.700453i \(0.247019\pi\)
−0.267854 + 0.963459i \(0.586315\pi\)
\(60\) 6.58482 14.6015i 0.109747 0.243359i
\(61\) −36.2654 9.71727i −0.594514 0.159300i −0.0509986 0.998699i \(-0.516240\pi\)
−0.543515 + 0.839399i \(0.682907\pi\)
\(62\) 43.7383 37.4174i 0.705457 0.603507i
\(63\) 37.3441 20.9278i 0.592763 0.332187i
\(64\) −28.7776 + 57.1651i −0.449650 + 0.893205i
\(65\) 13.8598 8.00193i 0.213227 0.123107i
\(66\) −2.54290 1.76870i −0.0385288 0.0267985i
\(67\) −1.31178 4.89562i −0.0195788 0.0730690i 0.955445 0.295168i \(-0.0953757\pi\)
−0.975024 + 0.222099i \(0.928709\pi\)
\(68\) 31.4137 38.9216i 0.461967 0.572377i
\(69\) 0.555389 0.947896i 0.00804912 0.0137376i
\(70\) 5.47589 + 11.4565i 0.0782269 + 0.163665i
\(71\) −77.3554 −1.08951 −0.544756 0.838594i \(-0.683378\pi\)
−0.544756 + 0.838594i \(0.683378\pi\)
\(72\) −36.9812 61.7769i −0.513628 0.858013i
\(73\) 105.834i 1.44978i −0.688867 0.724888i \(-0.741891\pi\)
0.688867 0.724888i \(-0.258109\pi\)
\(74\) 47.4412 + 99.2553i 0.641097 + 1.34129i
\(75\) 60.5446 34.4406i 0.807262 0.459208i
\(76\) 79.8986 8.52870i 1.05130 0.112220i
\(77\) 2.37188 0.635543i 0.0308036 0.00825380i
\(78\) 6.04506 71.6837i 0.0775007 0.919022i
\(79\) −17.3463 30.0446i −0.219573 0.380312i 0.735104 0.677954i \(-0.237133\pi\)
−0.954678 + 0.297642i \(0.903800\pi\)
\(80\) 18.9975 9.75747i 0.237469 0.121968i
\(81\) 80.9734 + 2.07388i 0.999672 + 0.0256034i
\(82\) −24.2369 + 20.7343i −0.295572 + 0.252857i
\(83\) −17.2099 + 64.2283i −0.207349 + 0.773835i 0.781372 + 0.624065i \(0.214520\pi\)
−0.988721 + 0.149770i \(0.952147\pi\)
\(84\) 56.3317 + 9.19829i 0.670615 + 0.109503i
\(85\) −16.1220 + 4.31988i −0.189671 + 0.0508222i
\(86\) 72.1607 105.177i 0.839078 1.22299i
\(87\) −2.25553 + 8.20724i −0.0259257 + 0.0943361i
\(88\) −1.18262 3.95709i −0.0134389 0.0449669i
\(89\) −43.9825 −0.494186 −0.247093 0.968992i \(-0.579475\pi\)
−0.247093 + 0.968992i \(0.579475\pi\)
\(90\) −2.17219 + 23.9280i −0.0241355 + 0.265867i
\(91\) 40.3254 + 40.3254i 0.443136 + 0.443136i
\(92\) 1.36668 0.527164i 0.0148552 0.00573004i
\(93\) −43.6475 + 74.4942i −0.469328 + 0.801013i
\(94\) 152.588 28.4084i 1.62327 0.302218i
\(95\) −23.2213 13.4068i −0.244435 0.141125i
\(96\) 12.7539 95.1490i 0.132853 0.991136i
\(97\) −88.1367 152.657i −0.908626 1.57379i −0.815974 0.578088i \(-0.803799\pi\)
−0.0926520 0.995699i \(-0.529534\pi\)
\(98\) 40.0850 34.2921i 0.409031 0.349919i
\(99\) 4.47220 + 1.25991i 0.0451737 + 0.0127263i
\(100\) 91.7532 + 14.3798i 0.917532 + 0.143798i
\(101\) 149.801 + 40.1390i 1.48317 + 0.397415i 0.907426 0.420212i \(-0.138044\pi\)
0.575748 + 0.817627i \(0.304711\pi\)
\(102\) −25.4391 + 70.5812i −0.249403 + 0.691973i
\(103\) −18.1132 10.4577i −0.175856 0.101531i 0.409488 0.912315i \(-0.365707\pi\)
−0.585344 + 0.810785i \(0.699041\pi\)
\(104\) 65.8558 69.7365i 0.633229 0.670543i
\(105\) −13.3817 13.5541i −0.127445 0.129087i
\(106\) 26.2920 12.5668i 0.248037 0.118555i
\(107\) −62.3967 + 62.3967i −0.583147 + 0.583147i −0.935767 0.352620i \(-0.885291\pi\)
0.352620 + 0.935767i \(0.385291\pi\)
\(108\) 82.7238 + 69.4318i 0.765961 + 0.642887i
\(109\) −74.0433 + 74.0433i −0.679297 + 0.679297i −0.959841 0.280544i \(-0.909485\pi\)
0.280544 + 0.959841i \(0.409485\pi\)
\(110\) −0.458997 + 1.29951i −0.00417270 + 0.0118138i
\(111\) −115.934 117.428i −1.04445 1.05791i
\(112\) 51.1064 + 56.3906i 0.456308 + 0.503487i
\(113\) 48.3384 + 27.9082i 0.427773 + 0.246975i 0.698398 0.715710i \(-0.253897\pi\)
−0.270624 + 0.962685i \(0.587230\pi\)
\(114\) −109.076 + 51.2799i −0.956805 + 0.449824i
\(115\) −0.472157 0.126514i −0.00410572 0.00110012i
\(116\) −9.17047 + 6.68549i −0.0790558 + 0.0576335i
\(117\) 26.5917 + 104.579i 0.227280 + 0.893841i
\(118\) 15.7839 202.654i 0.133762 1.71741i
\(119\) −29.7382 51.5080i −0.249901 0.432841i
\(120\) −22.1437 + 23.1498i −0.184531 + 0.192915i
\(121\) −104.558 60.3667i −0.864118 0.498899i
\(122\) 61.9175 + 42.4809i 0.507521 + 0.348204i
\(123\) 24.1866 41.2798i 0.196639 0.335608i
\(124\) −107.406 + 41.4293i −0.866177 + 0.334107i
\(125\) −45.5107 45.5107i −0.364086 0.364086i
\(126\) −84.3640 + 14.5917i −0.669556 + 0.115808i
\(127\) 58.5207 0.460793 0.230397 0.973097i \(-0.425998\pi\)
0.230397 + 0.973097i \(0.425998\pi\)
\(128\) 92.3463 88.6349i 0.721456 0.692461i
\(129\) −50.7012 + 184.487i −0.393032 + 1.43013i
\(130\) −31.4670 + 5.85846i −0.242054 + 0.0450651i
\(131\) 66.2847 17.7609i 0.505990 0.135580i 0.00321127 0.999995i \(-0.498978\pi\)
0.502778 + 0.864415i \(0.332311\pi\)
\(132\) 3.61736 + 5.02924i 0.0274042 + 0.0381003i
\(133\) 24.7298 92.2929i 0.185939 0.693932i
\(134\) −0.787118 + 10.1060i −0.00587401 + 0.0754182i
\(135\) −8.65753 34.9843i −0.0641298 0.259143i
\(136\) −85.1658 + 52.4751i −0.626219 + 0.385846i
\(137\) 15.9170 + 27.5691i 0.116183 + 0.201234i 0.918252 0.395997i \(-0.129601\pi\)
−0.802069 + 0.597231i \(0.796268\pi\)
\(138\) −1.67875 + 1.41763i −0.0121648 + 0.0102727i
\(139\) −129.995 + 34.8322i −0.935219 + 0.250591i −0.694079 0.719899i \(-0.744188\pi\)
−0.241140 + 0.970490i \(0.577521\pi\)
\(140\) −2.69554 25.2524i −0.0192539 0.180374i
\(141\) −202.364 + 115.114i −1.43521 + 0.816413i
\(142\) 145.879 + 51.5253i 1.02731 + 0.362854i
\(143\) 6.18972i 0.0432848i
\(144\) 28.5914 + 141.133i 0.198551 + 0.980090i
\(145\) 3.78707 0.0261177
\(146\) −70.4942 + 199.584i −0.482837 + 1.36701i
\(147\) −40.0017 + 68.2720i −0.272121 + 0.464435i
\(148\) −23.3532 218.778i −0.157792 1.47823i
\(149\) 60.1577 + 224.511i 0.403743 + 1.50679i 0.806363 + 0.591421i \(0.201433\pi\)
−0.402620 + 0.915367i \(0.631900\pi\)
\(150\) −137.117 + 24.6210i −0.914112 + 0.164140i
\(151\) 160.396 92.6049i 1.06223 0.613277i 0.136180 0.990684i \(-0.456517\pi\)
0.926048 + 0.377407i \(0.123184\pi\)
\(152\) −156.355 37.1356i −1.02865 0.244313i
\(153\) 1.44080 112.529i 0.00941701 0.735486i
\(154\) −4.89627 0.381350i −0.0317940 0.00247630i
\(155\) 37.1064 + 9.94262i 0.239396 + 0.0641459i
\(156\) −59.1473 + 131.156i −0.379150 + 0.840745i
\(157\) 61.5122 + 229.567i 0.391797 + 1.46221i 0.827167 + 0.561956i \(0.189951\pi\)
−0.435370 + 0.900252i \(0.643382\pi\)
\(158\) 12.6997 + 68.2130i 0.0803781 + 0.431728i
\(159\) −31.1058 + 30.7101i −0.195634 + 0.193145i
\(160\) −42.3253 + 5.74689i −0.264533 + 0.0359181i
\(161\) 1.74185i 0.0108190i
\(162\) −151.320 57.8462i −0.934076 0.357075i
\(163\) 178.466 178.466i 1.09488 1.09488i 0.0998824 0.994999i \(-0.468153\pi\)
0.994999 0.0998824i \(-0.0318467\pi\)
\(164\) 59.5174 22.9574i 0.362911 0.139984i
\(165\) 0.0132338 2.06725i 8.02047e−5 0.0125288i
\(166\) 75.2364 109.660i 0.453231 0.660603i
\(167\) 153.816 266.417i 0.921055 1.59531i 0.123268 0.992373i \(-0.460662\pi\)
0.797786 0.602940i \(-0.206004\pi\)
\(168\) −100.105 54.8680i −0.595862 0.326595i
\(169\) 21.8648 12.6237i 0.129378 0.0746963i
\(170\) 33.2807 + 2.59210i 0.195769 + 0.0152476i
\(171\) 129.466 126.193i 0.757112 0.737970i
\(172\) −206.139 + 150.280i −1.19848 + 0.873722i
\(173\) 68.2518 254.719i 0.394519 1.47236i −0.428079 0.903741i \(-0.640809\pi\)
0.822598 0.568624i \(-0.192524\pi\)
\(174\) 9.72026 13.9750i 0.0558635 0.0803163i
\(175\) 55.2187 95.6416i 0.315535 0.546523i
\(176\) −0.405543 + 8.25010i −0.00230422 + 0.0468756i
\(177\) 77.0275 + 295.012i 0.435183 + 1.66673i
\(178\) 82.9433 + 29.2961i 0.465974 + 0.164585i
\(179\) −31.7185 31.7185i −0.177198 0.177198i 0.612935 0.790133i \(-0.289989\pi\)
−0.790133 + 0.612935i \(0.789989\pi\)
\(180\) 20.0345 43.6772i 0.111303 0.242651i
\(181\) 72.1636 + 72.1636i 0.398694 + 0.398694i 0.877772 0.479078i \(-0.159029\pi\)
−0.479078 + 0.877772i \(0.659029\pi\)
\(182\) −49.1864 102.907i −0.270255 0.565421i
\(183\) −108.607 29.8477i −0.593482 0.163102i
\(184\) −2.92845 + 0.0838130i −0.0159155 + 0.000455505i
\(185\) −36.7105 + 63.5845i −0.198435 + 0.343700i
\(186\) 131.931 111.410i 0.709306 0.598979i
\(187\) 1.67078 6.23542i 0.00893463 0.0333445i
\(188\) −306.676 48.0630i −1.63125 0.255654i
\(189\) 112.432 62.0648i 0.594877 0.328385i
\(190\) 34.8612 + 40.7503i 0.183480 + 0.214475i
\(191\) −288.137 + 166.356i −1.50857 + 0.870975i −0.508622 + 0.860990i \(0.669845\pi\)
−0.999950 + 0.00998486i \(0.996822\pi\)
\(192\) −87.4289 + 170.939i −0.455359 + 0.890308i
\(193\) 107.093 185.490i 0.554884 0.961087i −0.443029 0.896507i \(-0.646096\pi\)
0.997913 0.0645796i \(-0.0205706\pi\)
\(194\) 64.5276 + 346.591i 0.332617 + 1.78655i
\(195\) 41.7321 23.7391i 0.214011 0.121739i
\(196\) −98.4347 + 37.9688i −0.502218 + 0.193718i
\(197\) 81.2066 81.2066i 0.412216 0.412216i −0.470294 0.882510i \(-0.655852\pi\)
0.882510 + 0.470294i \(0.155852\pi\)
\(198\) −7.59458 5.35483i −0.0383565 0.0270446i
\(199\) 268.462i 1.34905i 0.738251 + 0.674527i \(0.235652\pi\)
−0.738251 + 0.674527i \(0.764348\pi\)
\(200\) −163.452 88.2332i −0.817261 0.441166i
\(201\) −3.84124 14.7118i −0.0191106 0.0731928i
\(202\) −255.762 175.475i −1.26615 0.868688i
\(203\) 3.49276 + 13.0351i 0.0172057 + 0.0642126i
\(204\) 94.9867 116.159i 0.465621 0.569408i
\(205\) −20.5619 5.50955i −0.100302 0.0268759i
\(206\) 27.1926 + 31.7862i 0.132003 + 0.154302i
\(207\) 1.68434 2.83297i 0.00813689 0.0136858i
\(208\) −170.643 + 87.6452i −0.820399 + 0.421371i
\(209\) 8.98117 5.18528i 0.0429721 0.0248100i
\(210\) 16.2073 + 34.4740i 0.0771776 + 0.164162i
\(211\) 28.7402 + 107.260i 0.136209 + 0.508340i 0.999990 + 0.00447219i \(0.00142355\pi\)
−0.863781 + 0.503868i \(0.831910\pi\)
\(212\) −57.9526 + 6.18609i −0.273361 + 0.0291797i
\(213\) −232.061 1.48557i −1.08949 0.00697452i
\(214\) 159.231 76.1077i 0.744069 0.355644i
\(215\) 85.1280 0.395944
\(216\) −109.755 186.037i −0.508125 0.861283i
\(217\) 136.890i 0.630832i
\(218\) 188.952 90.3135i 0.866751 0.414282i
\(219\) 2.03249 317.495i 0.00928075 1.44975i
\(220\) 1.73117 2.14492i 0.00786897 0.00974966i
\(221\) 144.814 38.8028i 0.655267 0.175578i
\(222\) 140.414 + 298.671i 0.632498 + 1.34536i
\(223\) 11.3197 + 19.6063i 0.0507611 + 0.0879208i 0.890289 0.455395i \(-0.150502\pi\)
−0.839528 + 0.543316i \(0.817169\pi\)
\(224\) −58.8168 140.384i −0.262575 0.626714i
\(225\) 182.292 102.157i 0.810185 0.454031i
\(226\) −72.5684 84.8274i −0.321099 0.375342i
\(227\) −73.8987 + 275.794i −0.325545 + 1.21495i 0.588218 + 0.808703i \(0.299830\pi\)
−0.913763 + 0.406248i \(0.866837\pi\)
\(228\) 239.855 24.0512i 1.05199 0.105488i
\(229\) −296.629 + 79.4816i −1.29533 + 0.347081i −0.839681 0.543080i \(-0.817258\pi\)
−0.455645 + 0.890162i \(0.650591\pi\)
\(230\) 0.806136 + 0.553080i 0.00350494 + 0.00240470i
\(231\) 7.12770 1.86104i 0.0308558 0.00805645i
\(232\) 21.7470 6.49934i 0.0937371 0.0280144i
\(233\) 266.138 1.14222 0.571111 0.820873i \(-0.306512\pi\)
0.571111 + 0.820873i \(0.306512\pi\)
\(234\) 19.5115 214.931i 0.0833823 0.918507i
\(235\) 73.2471 + 73.2471i 0.311690 + 0.311690i
\(236\) −164.751 + 371.657i −0.698095 + 1.57482i
\(237\) −51.4608 90.4652i −0.217134 0.381710i
\(238\) 21.7722 + 116.943i 0.0914800 + 0.491358i
\(239\) −158.381 91.4411i −0.662680 0.382599i 0.130617 0.991433i \(-0.458304\pi\)
−0.793298 + 0.608834i \(0.791637\pi\)
\(240\) 57.1788 28.9070i 0.238245 0.120446i
\(241\) −35.6354 61.7224i −0.147865 0.256110i 0.782573 0.622559i \(-0.213907\pi\)
−0.930438 + 0.366449i \(0.880573\pi\)
\(242\) 156.969 + 183.486i 0.648633 + 0.758205i
\(243\) 242.876 + 7.77656i 0.999488 + 0.0320023i
\(244\) −88.4697 121.354i −0.362581 0.497351i
\(245\) 34.0070 + 9.11215i 0.138804 + 0.0371924i
\(246\) −73.1075 + 61.7362i −0.297185 + 0.250960i
\(247\) 208.582 + 120.425i 0.844463 + 0.487551i
\(248\) 230.144 6.58678i 0.928001 0.0265596i
\(249\) −52.8622 + 192.351i −0.212298 + 0.772492i
\(250\) 55.5112 + 116.139i 0.222045 + 0.464557i
\(251\) 207.026 207.026i 0.824804 0.824804i −0.161989 0.986793i \(-0.551791\pi\)
0.986793 + 0.161989i \(0.0517909\pi\)
\(252\) 168.815 + 28.6761i 0.669901 + 0.113794i
\(253\) 0.133682 0.133682i 0.000528389 0.000528389i
\(254\) −110.360 38.9798i −0.434487 0.153464i
\(255\) −48.4480 + 12.6498i −0.189992 + 0.0496069i
\(256\) −233.187 + 105.639i −0.910888 + 0.412654i
\(257\) −368.501 212.754i −1.43386 0.827837i −0.436444 0.899732i \(-0.643762\pi\)
−0.997412 + 0.0718947i \(0.977095\pi\)
\(258\) 218.498 314.139i 0.846890 1.21759i
\(259\) −252.716 67.7151i −0.975738 0.261448i
\(260\) 63.2435 + 9.91168i 0.243244 + 0.0381218i
\(261\) −6.92407 + 24.5779i −0.0265290 + 0.0941682i
\(262\) −136.831 10.6572i −0.522257 0.0406765i
\(263\) −77.4543 134.155i −0.294503 0.510094i 0.680366 0.732872i \(-0.261821\pi\)
−0.974869 + 0.222778i \(0.928487\pi\)
\(264\) −3.47180 11.8937i −0.0131507 0.0450520i
\(265\) 16.8430 + 9.72433i 0.0635586 + 0.0366956i
\(266\) −108.111 + 157.576i −0.406432 + 0.592391i
\(267\) −131.945 0.844664i −0.494176 0.00316353i
\(268\) 8.21584 18.5339i 0.0306561 0.0691564i
\(269\) 134.839 + 134.839i 0.501262 + 0.501262i 0.911830 0.410568i \(-0.134670\pi\)
−0.410568 + 0.911830i \(0.634670\pi\)
\(270\) −6.97597 + 71.7410i −0.0258369 + 0.265707i
\(271\) 354.956 1.30980 0.654901 0.755715i \(-0.272710\pi\)
0.654901 + 0.755715i \(0.272710\pi\)
\(272\) 195.561 42.2311i 0.718973 0.155261i
\(273\) 120.199 + 121.748i 0.440290 + 0.445964i
\(274\) −11.6533 62.5925i −0.0425304 0.228440i
\(275\) 11.5781 3.10234i 0.0421022 0.0112812i
\(276\) 4.11008 1.55521i 0.0148916 0.00563483i
\(277\) 35.7381 133.377i 0.129019 0.481504i −0.870932 0.491403i \(-0.836484\pi\)
0.999951 + 0.00989889i \(0.00315097\pi\)
\(278\) 268.350 + 20.9007i 0.965286 + 0.0751822i
\(279\) −132.370 + 222.640i −0.474446 + 0.797992i
\(280\) −11.7369 + 49.4170i −0.0419175 + 0.176489i
\(281\) 90.7711 + 157.220i 0.323029 + 0.559503i 0.981111 0.193443i \(-0.0619655\pi\)
−0.658083 + 0.752946i \(0.728632\pi\)
\(282\) 458.299 82.2932i 1.62517 0.291820i
\(283\) −281.851 + 75.5217i −0.995940 + 0.266861i −0.719744 0.694240i \(-0.755741\pi\)
−0.276196 + 0.961101i \(0.589074\pi\)
\(284\) −240.781 194.335i −0.847821 0.684278i
\(285\) −69.4050 40.6656i −0.243526 0.142686i
\(286\) 4.12288 11.6727i 0.0144157 0.0408137i
\(287\) 75.8558i 0.264306i
\(288\) 40.0882 285.196i 0.139195 0.990265i
\(289\) 132.643 0.458972
\(290\) −7.14175 2.52251i −0.0246267 0.00869832i
\(291\) −261.473 459.655i −0.898533 1.57957i
\(292\) 265.879 329.424i 0.910546 1.12817i
\(293\) −112.829 421.084i −0.385082 1.43715i −0.838037 0.545613i \(-0.816297\pi\)
0.452955 0.891533i \(-0.350370\pi\)
\(294\) 120.911 102.104i 0.411262 0.347294i
\(295\) 117.486 67.8306i 0.398258 0.229934i
\(296\) −101.685 + 428.132i −0.343529 + 1.44639i
\(297\) 13.3921 + 3.86553i 0.0450914 + 0.0130152i
\(298\) 36.0969 463.459i 0.121131 1.55523i
\(299\) 4.24109 + 1.13640i 0.0141843 + 0.00380066i
\(300\) 274.978 + 44.9006i 0.916593 + 0.149669i
\(301\) 78.5122 + 293.012i 0.260838 + 0.973461i
\(302\) −364.162 + 67.7989i −1.20583 + 0.224500i
\(303\) 448.622 + 123.291i 1.48060 + 0.406902i
\(304\) 270.123 + 174.177i 0.888564 + 0.572951i
\(305\) 50.1147i 0.164310i
\(306\) −77.6712 + 211.251i −0.253827 + 0.690362i
\(307\) 21.1902 21.1902i 0.0690236 0.0690236i −0.671752 0.740776i \(-0.734458\pi\)
0.740776 + 0.671752i \(0.234458\pi\)
\(308\) 8.97949 + 3.98049i 0.0291542 + 0.0129237i
\(309\) −54.1377 31.7202i −0.175203 0.102654i
\(310\) −63.3534 43.4660i −0.204366 0.140213i
\(311\) 78.1884 135.426i 0.251410 0.435454i −0.712505 0.701667i \(-0.752439\pi\)
0.963914 + 0.266213i \(0.0857725\pi\)
\(312\) 198.903 207.941i 0.637509 0.666476i
\(313\) −336.842 + 194.476i −1.07617 + 0.621328i −0.929861 0.367910i \(-0.880073\pi\)
−0.146311 + 0.989239i \(0.546740\pi\)
\(314\) 36.9097 473.895i 0.117547 1.50922i
\(315\) −39.8839 40.9185i −0.126616 0.129900i
\(316\) 21.4861 137.097i 0.0679941 0.433850i
\(317\) 151.141 564.067i 0.476786 1.77939i −0.137713 0.990472i \(-0.543975\pi\)
0.614499 0.788918i \(-0.289358\pi\)
\(318\) 79.1156 37.1947i 0.248791 0.116964i
\(319\) −0.732352 + 1.26847i −0.00229577 + 0.00397640i
\(320\) 83.6460 + 17.3546i 0.261394 + 0.0542332i
\(321\) −188.385 + 185.988i −0.586868 + 0.579402i
\(322\) −1.16022 + 3.28483i −0.00360317 + 0.0102013i
\(323\) −177.616 177.616i −0.549896 0.549896i
\(324\) 246.833 + 209.880i 0.761830 + 0.647777i
\(325\) 196.845 + 196.845i 0.605676 + 0.605676i
\(326\) −455.428 + 217.682i −1.39702 + 0.667735i
\(327\) −223.547 + 220.703i −0.683631 + 0.674934i
\(328\) −127.531 + 3.64996i −0.388813 + 0.0111279i
\(329\) −184.563 + 319.672i −0.560981 + 0.971648i
\(330\) −1.40192 + 3.88965i −0.00424824 + 0.0117868i
\(331\) −129.310 + 482.590i −0.390663 + 1.45797i 0.438380 + 0.898790i \(0.355553\pi\)
−0.829043 + 0.559185i \(0.811114\pi\)
\(332\) −214.925 + 156.686i −0.647366 + 0.471945i
\(333\) −345.541 354.504i −1.03766 1.06458i
\(334\) −467.527 + 399.962i −1.39978 + 1.19749i
\(335\) −5.85884 + 3.38260i −0.0174891 + 0.0100973i
\(336\) 152.233 + 170.150i 0.453075 + 0.506398i
\(337\) 80.2544 139.005i 0.238144 0.412477i −0.722038 0.691853i \(-0.756794\pi\)
0.960182 + 0.279377i \(0.0901278\pi\)
\(338\) −49.6417 + 9.24218i −0.146869 + 0.0273437i
\(339\) 144.476 + 84.6511i 0.426183 + 0.249708i
\(340\) −61.0350 27.0560i −0.179515 0.0795765i
\(341\) −10.5060 + 10.5060i −0.0308093 + 0.0308093i
\(342\) −328.206 + 151.742i −0.959665 + 0.443690i
\(343\) 358.524i 1.04526i
\(344\) 488.842 146.096i 1.42105 0.424697i
\(345\) −1.41401 0.388602i −0.00409859 0.00112638i
\(346\) −298.375 + 434.894i −0.862357 + 1.25692i
\(347\) −3.09336 11.5446i −0.00891458 0.0332697i 0.961325 0.275415i \(-0.0888154\pi\)
−0.970240 + 0.242146i \(0.922149\pi\)
\(348\) −27.6392 + 19.8799i −0.0794231 + 0.0571262i
\(349\) 272.152 + 72.9229i 0.779805 + 0.208948i 0.626699 0.779262i \(-0.284406\pi\)
0.153106 + 0.988210i \(0.451072\pi\)
\(350\) −167.838 + 143.583i −0.479537 + 0.410237i
\(351\) 77.7651 + 314.242i 0.221553 + 0.895277i
\(352\) 6.26005 15.2881i 0.0177842 0.0434321i
\(353\) −137.580 + 79.4318i −0.389745 + 0.225019i −0.682050 0.731306i \(-0.738911\pi\)
0.292305 + 0.956325i \(0.405578\pi\)
\(354\) 51.2426 607.647i 0.144753 1.71652i
\(355\) 26.7241 + 99.7358i 0.0752793 + 0.280946i
\(356\) −136.903 110.495i −0.384558 0.310378i
\(357\) −88.2235 155.092i −0.247125 0.434432i
\(358\) 38.6882 + 80.9426i 0.108068 + 0.226097i
\(359\) −472.757 −1.31687 −0.658436 0.752636i \(-0.728782\pi\)
−0.658436 + 0.752636i \(0.728782\pi\)
\(360\) −66.8742 + 69.0229i −0.185762 + 0.191730i
\(361\) 42.5324i 0.117818i
\(362\) −88.0207 184.155i −0.243151 0.508715i
\(363\) −312.509 183.105i −0.860906 0.504420i
\(364\) 24.2124 + 226.826i 0.0665175 + 0.623149i
\(365\) −136.453 + 36.5626i −0.373845 + 0.100172i
\(366\) 184.933 + 128.629i 0.505281 + 0.351446i
\(367\) 21.5137 + 37.2629i 0.0586206 + 0.101534i 0.893846 0.448373i \(-0.147996\pi\)
−0.835226 + 0.549907i \(0.814663\pi\)
\(368\) 5.57837 + 1.79254i 0.0151586 + 0.00487104i
\(369\) 73.3510 123.372i 0.198783 0.334343i
\(370\) 111.582 95.4568i 0.301574 0.257991i
\(371\) −17.9372 + 66.9425i −0.0483482 + 0.180438i
\(372\) −323.007 + 122.223i −0.868298 + 0.328555i
\(373\) −230.327 + 61.7159i −0.617499 + 0.165458i −0.553990 0.832523i \(-0.686896\pi\)
−0.0635083 + 0.997981i \(0.520229\pi\)
\(374\) −7.30411 + 10.6460i −0.0195297 + 0.0284653i
\(375\) −135.655 137.403i −0.361748 0.366409i
\(376\) 546.323 + 294.911i 1.45299 + 0.784337i
\(377\) −34.0169 −0.0902305
\(378\) −253.367 + 42.1542i −0.670283 + 0.111519i
\(379\) −244.733 244.733i −0.645734 0.645734i 0.306225 0.951959i \(-0.400934\pi\)
−0.951959 + 0.306225i \(0.900934\pi\)
\(380\) −38.5990 100.068i −0.101576 0.263338i
\(381\) 175.559 + 1.12386i 0.460784 + 0.00294977i
\(382\) 654.184 121.794i 1.71252 0.318834i
\(383\) 401.068 + 231.557i 1.04718 + 0.604587i 0.921857 0.387530i \(-0.126671\pi\)
0.125318 + 0.992117i \(0.460005\pi\)
\(384\) 278.736 264.126i 0.725874 0.687828i
\(385\) −1.63884 2.83855i −0.00425672 0.00737285i
\(386\) −325.510 + 278.468i −0.843289 + 0.721420i
\(387\) −155.643 + 552.476i −0.402179 + 1.42759i
\(388\) 109.172 696.591i 0.281370 1.79534i
\(389\) −79.0028 21.1687i −0.203092 0.0544184i 0.155839 0.987783i \(-0.450192\pi\)
−0.358931 + 0.933364i \(0.616859\pi\)
\(390\) −94.5116 + 16.9707i −0.242337 + 0.0435147i
\(391\) −3.96566 2.28957i −0.0101424 0.00585569i
\(392\) 210.921 6.03661i 0.538064 0.0153995i
\(393\) 199.191 52.0087i 0.506847 0.132338i
\(394\) −207.232 + 99.0508i −0.525969 + 0.251398i
\(395\) −32.7445 + 32.7445i −0.0828974 + 0.0828974i
\(396\) 10.7553 + 15.1569i 0.0271598 + 0.0382750i
\(397\) 171.035 171.035i 0.430818 0.430818i −0.458088 0.888907i \(-0.651466\pi\)
0.888907 + 0.458088i \(0.151466\pi\)
\(398\) 178.818 506.271i 0.449292 1.27204i
\(399\) 75.9604 276.398i 0.190377 0.692727i
\(400\) 249.471 + 275.265i 0.623678 + 0.688163i
\(401\) −605.450 349.557i −1.50985 0.871712i −0.999934 0.0114882i \(-0.996343\pi\)
−0.509916 0.860224i \(-0.670324\pi\)
\(402\) −2.55539 + 30.3024i −0.00635668 + 0.0753790i
\(403\) −333.303 89.3083i −0.827055 0.221609i
\(404\) 365.440 + 501.274i 0.904555 + 1.24078i
\(405\) −25.3002 105.117i −0.0624696 0.259549i
\(406\) 2.09579 26.9085i 0.00516204 0.0662770i
\(407\) −14.1983 24.5922i −0.0348853 0.0604231i
\(408\) −256.500 + 155.786i −0.628677 + 0.381830i
\(409\) 134.809 + 77.8320i 0.329606 + 0.190298i 0.655666 0.755051i \(-0.272388\pi\)
−0.326060 + 0.945349i \(0.605721\pi\)
\(410\) 35.1063 + 24.0860i 0.0856252 + 0.0587464i
\(411\) 47.2206 + 83.0113i 0.114892 + 0.201974i
\(412\) −30.1081 78.0558i −0.0730780 0.189456i
\(413\) 341.829 + 341.829i 0.827674 + 0.827674i
\(414\) −5.06336 + 4.22056i −0.0122303 + 0.0101946i
\(415\) 88.7564 0.213871
\(416\) 380.182 51.6207i 0.913898 0.124088i
\(417\) −390.647 + 101.998i −0.936804 + 0.244599i
\(418\) −20.3907 + 3.79630i −0.0487817 + 0.00908207i
\(419\) −223.063 + 59.7696i −0.532371 + 0.142648i −0.514983 0.857201i \(-0.672202\pi\)
−0.0173878 + 0.999849i \(0.505535\pi\)
\(420\) −7.60150 75.8073i −0.0180988 0.180494i
\(421\) 67.1350 250.551i 0.159466 0.595134i −0.839216 0.543798i \(-0.816986\pi\)
0.998681 0.0513354i \(-0.0163477\pi\)
\(422\) 17.2452 221.416i 0.0408655 0.524683i
\(423\) −609.291 + 341.449i −1.44040 + 0.807208i
\(424\) 113.409 + 26.9354i 0.267474 + 0.0635270i
\(425\) −145.164 251.432i −0.341563 0.591604i
\(426\) 436.637 + 157.374i 1.02497 + 0.369423i
\(427\) −172.495 + 46.2200i −0.403970 + 0.108244i
\(428\) −350.975 + 37.4645i −0.820036 + 0.0875340i
\(429\) −0.118871 + 18.5688i −0.000277088 + 0.0432839i
\(430\) −160.536 56.7025i −0.373341 0.131866i
\(431\) 250.950i 0.582251i −0.956685 0.291126i \(-0.905970\pi\)
0.956685 0.291126i \(-0.0940298\pi\)
\(432\) 83.0621 + 423.939i 0.192273 + 0.981341i
\(433\) −44.7243 −0.103289 −0.0516447 0.998666i \(-0.516446\pi\)
−0.0516447 + 0.998666i \(0.516446\pi\)
\(434\) 91.1807 258.151i 0.210094 0.594819i
\(435\) 11.3610 + 0.0727289i 0.0261172 + 0.000167193i
\(436\) −416.486 + 44.4574i −0.955244 + 0.101967i
\(437\) −1.90398 7.10574i −0.00435692 0.0162603i
\(438\) −215.311 + 597.385i −0.491578 + 1.36389i
\(439\) 207.408 119.747i 0.472455 0.272772i −0.244812 0.969571i \(-0.578726\pi\)
0.717267 + 0.696798i \(0.245393\pi\)
\(440\) −4.69339 + 2.89184i −0.0106668 + 0.00657237i
\(441\) −121.314 + 204.043i −0.275088 + 0.462684i
\(442\) −298.940 23.2832i −0.676334 0.0526769i
\(443\) 605.761 + 162.313i 1.36741 + 0.366395i 0.866531 0.499124i \(-0.166345\pi\)
0.500876 + 0.865519i \(0.333011\pi\)
\(444\) −65.8568 656.769i −0.148326 1.47921i
\(445\) 15.1947 + 56.7076i 0.0341455 + 0.127433i
\(446\) −8.28752 44.5140i −0.0185819 0.0998072i
\(447\) 176.158 + 674.676i 0.394089 + 1.50934i
\(448\) 17.4106 + 303.916i 0.0388629 + 0.678385i
\(449\) 348.909i 0.777081i 0.921432 + 0.388540i \(0.127021\pi\)
−0.921432 + 0.388540i \(0.872979\pi\)
\(450\) −411.815 + 71.2282i −0.915144 + 0.158285i
\(451\) 5.82172 5.82172i 0.0129085 0.0129085i
\(452\) 80.3491 + 208.306i 0.177763 + 0.460854i
\(453\) 482.958 274.729i 1.06613 0.606465i
\(454\) 323.062 470.876i 0.711590 1.03717i
\(455\) 38.0610 65.9236i 0.0836506 0.144887i
\(456\) −468.344 114.407i −1.02707 0.250893i
\(457\) 67.1955 38.7953i 0.147036 0.0848913i −0.424677 0.905345i \(-0.639612\pi\)
0.571713 + 0.820454i \(0.306279\pi\)
\(458\) 612.332 + 47.6921i 1.33697 + 0.104131i
\(459\) 6.48339 337.553i 0.0141250 0.735410i
\(460\) −1.15183 1.57997i −0.00250398 0.00343471i
\(461\) 82.4112 307.563i 0.178766 0.667165i −0.817113 0.576477i \(-0.804427\pi\)
0.995879 0.0906873i \(-0.0289064\pi\)
\(462\) −14.6812 1.23806i −0.0317775 0.00267978i
\(463\) 209.514 362.889i 0.452514 0.783776i −0.546028 0.837767i \(-0.683861\pi\)
0.998541 + 0.0539905i \(0.0171941\pi\)
\(464\) −45.3401 2.22874i −0.0977158 0.00480333i
\(465\) 111.126 + 30.5399i 0.238980 + 0.0656771i
\(466\) −501.889 177.270i −1.07702 0.380409i
\(467\) 245.316 + 245.316i 0.525302 + 0.525302i 0.919168 0.393866i \(-0.128863\pi\)
−0.393866 + 0.919168i \(0.628863\pi\)
\(468\) −179.957 + 392.325i −0.384524 + 0.838301i
\(469\) −17.0465 17.0465i −0.0363464 0.0363464i
\(470\) −89.3424 186.920i −0.190090 0.397702i
\(471\) 180.124 + 689.867i 0.382429 + 1.46469i
\(472\) 558.245 591.141i 1.18272 1.25242i
\(473\) −16.4622 + 28.5134i −0.0348039 + 0.0602821i
\(474\) 36.7884 + 204.879i 0.0776128 + 0.432233i
\(475\) 120.716 450.519i 0.254140 0.948462i
\(476\) 36.8355 235.036i 0.0773855 0.493774i
\(477\) −93.9053 + 91.5310i −0.196866 + 0.191889i
\(478\) 237.770 + 277.937i 0.497428 + 0.581458i
\(479\) 448.069 258.693i 0.935425 0.540068i 0.0469019 0.998899i \(-0.485065\pi\)
0.888523 + 0.458831i \(0.151732\pi\)
\(480\) −127.084 + 16.4275i −0.264758 + 0.0342239i
\(481\) 329.748 571.140i 0.685546 1.18740i
\(482\) 26.0898 + 140.134i 0.0541282 + 0.290734i
\(483\) 0.0334515 5.22545i 6.92577e−5 0.0108187i
\(484\) −173.799 450.576i −0.359089 0.930943i
\(485\) −166.375 + 166.375i −0.343042 + 0.343042i
\(486\) −452.841 176.441i −0.931771 0.363047i
\(487\) 3.16024i 0.00648920i 0.999995 + 0.00324460i \(0.00103279\pi\)
−0.999995 + 0.00324460i \(0.998967\pi\)
\(488\) 86.0063 + 287.780i 0.176242 + 0.589713i
\(489\) 538.814 531.959i 1.10187 1.08785i
\(490\) −58.0617 39.8354i −0.118493 0.0812968i
\(491\) 220.209 + 821.830i 0.448490 + 1.67379i 0.706553 + 0.707660i \(0.250249\pi\)
−0.258063 + 0.966128i \(0.583084\pi\)
\(492\) 178.989 67.7277i 0.363799 0.137658i
\(493\) 34.2680 + 9.18209i 0.0695092 + 0.0186249i
\(494\) −313.136 366.034i −0.633879 0.740960i
\(495\) 0.0794010 6.20136i 0.000160406 0.0125280i
\(496\) −438.399 140.874i −0.883868 0.284020i
\(497\) −318.645 + 183.970i −0.641136 + 0.370160i
\(498\) 227.811 327.528i 0.457451 0.657688i
\(499\) 52.3985 + 195.554i 0.105007 + 0.391891i 0.998346 0.0574921i \(-0.0183104\pi\)
−0.893339 + 0.449383i \(0.851644\pi\)
\(500\) −27.3258 255.993i −0.0546515 0.511987i
\(501\) 466.555 796.282i 0.931248 1.58938i
\(502\) −528.311 + 252.517i −1.05241 + 0.503023i
\(503\) 606.713 1.20619 0.603094 0.797670i \(-0.293934\pi\)
0.603094 + 0.797670i \(0.293934\pi\)
\(504\) −299.255 166.523i −0.593759 0.330403i
\(505\) 207.008i 0.409916i
\(506\) −0.341145 + 0.163058i −0.000674200 + 0.000322248i
\(507\) 65.8356 37.4503i 0.129853 0.0738666i
\(508\) 182.155 + 147.018i 0.358573 + 0.289405i
\(509\) 429.811 115.167i 0.844422 0.226262i 0.189427 0.981895i \(-0.439337\pi\)
0.654996 + 0.755633i \(0.272670\pi\)
\(510\) 99.7903 + 8.41527i 0.195667 + 0.0165005i
\(511\) −251.698 435.953i −0.492559 0.853138i
\(512\) 510.115 43.8947i 0.996318 0.0857319i
\(513\) 390.814 376.084i 0.761821 0.733108i
\(514\) 553.215 + 646.670i 1.07629 + 1.25811i
\(515\) −7.22566 + 26.9665i −0.0140304 + 0.0523622i
\(516\) −621.291 + 446.873i −1.20405 + 0.866032i
\(517\) −38.6986 + 10.3693i −0.0748523 + 0.0200566i
\(518\) 431.474 + 296.029i 0.832962 + 0.571485i
\(519\) 209.643 762.831i 0.403936 1.46981i
\(520\) −112.664 60.8172i −0.216662 0.116956i
\(521\) 142.377 0.273277 0.136638 0.990621i \(-0.456370\pi\)
0.136638 + 0.990621i \(0.456370\pi\)
\(522\) 29.4286 41.7376i 0.0563765 0.0799570i
\(523\) −669.282 669.282i −1.27970 1.27970i −0.940836 0.338863i \(-0.889958\pi\)
−0.338863 0.940836i \(-0.610042\pi\)
\(524\) 250.941 + 111.239i 0.478896 + 0.212288i
\(525\) 167.489 285.858i 0.319027 0.544492i
\(526\) 56.7067 + 304.584i 0.107807 + 0.579056i
\(527\) 311.657 + 179.935i 0.591380 + 0.341433i
\(528\) −1.37504 + 24.7420i −0.00260425 + 0.0468598i
\(529\) 264.433 + 458.011i 0.499873 + 0.865806i
\(530\) −25.2858 29.5573i −0.0477090 0.0557684i
\(531\) 225.412 + 886.496i 0.424505 + 1.66948i
\(532\) 308.837 225.150i 0.580521 0.423213i
\(533\) 184.695 + 49.4888i 0.346519 + 0.0928496i
\(534\) 248.262 + 89.4794i 0.464911 + 0.167564i
\(535\) 102.006 + 58.8930i 0.190665 + 0.110080i
\(536\) −27.8388 + 29.4792i −0.0519380 + 0.0549986i
\(537\) −94.5443 95.7625i −0.176060 0.178329i
\(538\) −164.469 344.098i −0.305704 0.639587i
\(539\) −9.62843 + 9.62843i −0.0178635 + 0.0178635i
\(540\) 60.9410 130.644i 0.112854 0.241934i
\(541\) 356.554 356.554i 0.659065 0.659065i −0.296094 0.955159i \(-0.595684\pi\)
0.955159 + 0.296094i \(0.0956840\pi\)
\(542\) −669.385 236.431i −1.23503 0.436220i
\(543\) 215.100 + 217.872i 0.396133 + 0.401238i
\(544\) −396.922 50.6196i −0.729637 0.0930508i
\(545\) 121.045 + 69.8856i 0.222102 + 0.128231i
\(546\) −145.580 309.658i −0.266630 0.567140i
\(547\) −233.723 62.6259i −0.427282 0.114490i 0.0387682 0.999248i \(-0.487657\pi\)
−0.466050 + 0.884758i \(0.654323\pi\)
\(548\) −19.7158 + 125.801i −0.0359777 + 0.229563i
\(549\) −325.242 91.6269i −0.592426 0.166898i
\(550\) −23.9007 1.86153i −0.0434558 0.00338459i
\(551\) 28.4968 + 49.3579i 0.0517183 + 0.0895787i
\(552\) −8.78679 + 0.195194i −0.0159181 + 0.000353613i
\(553\) −142.907 82.5072i −0.258421 0.149199i
\(554\) −156.236 + 227.720i −0.282014 + 0.411047i
\(555\) −111.350 + 190.045i −0.200631 + 0.342423i
\(556\) −492.138 218.159i −0.885141 0.392372i
\(557\) 145.377 + 145.377i 0.261001 + 0.261001i 0.825461 0.564460i \(-0.190915\pi\)
−0.564460 + 0.825461i \(0.690915\pi\)
\(558\) 397.924 331.690i 0.713126 0.594426i
\(559\) −764.651 −1.36789
\(560\) 55.0496 85.3739i 0.0983029 0.152453i
\(561\) 5.13197 18.6738i 0.00914790 0.0332866i
\(562\) −66.4563 356.951i −0.118250 0.635144i
\(563\) 437.783 117.304i 0.777589 0.208354i 0.151868 0.988401i \(-0.451471\pi\)
0.625722 + 0.780046i \(0.284805\pi\)
\(564\) −919.086 150.076i −1.62958 0.266092i
\(565\) 19.2830 71.9651i 0.0341292 0.127372i
\(566\) 581.825 + 45.3160i 1.02796 + 0.0800636i
\(567\) 338.481 184.031i 0.596967 0.324570i
\(568\) 324.627 + 526.862i 0.571527 + 0.927575i
\(569\) 0.131748 + 0.228194i 0.000231543 + 0.000401044i 0.866141 0.499799i \(-0.166593\pi\)
−0.865910 + 0.500201i \(0.833260\pi\)
\(570\) 103.799 + 122.918i 0.182103 + 0.215645i
\(571\) 291.980 78.2357i 0.511348 0.137015i 0.00608627 0.999981i \(-0.498063\pi\)
0.505262 + 0.862966i \(0.331396\pi\)
\(572\) −15.5500 + 19.2665i −0.0271854 + 0.0336827i
\(573\) −867.589 + 493.525i −1.51412 + 0.861300i
\(574\) −50.5264 + 143.051i −0.0880250 + 0.249217i
\(575\) 8.50269i 0.0147873i
\(576\) −265.564 + 511.128i −0.461049 + 0.887375i
\(577\) −574.805 −0.996195 −0.498098 0.867121i \(-0.665968\pi\)
−0.498098 + 0.867121i \(0.665968\pi\)
\(578\) −250.141 88.3514i −0.432770 0.152857i
\(579\) 324.833 554.401i 0.561025 0.957515i
\(580\) 11.7879 + 9.51402i 0.0203239 + 0.0164035i
\(581\) 81.8587 + 305.501i 0.140893 + 0.525819i
\(582\) 186.923 + 1040.99i 0.321173 + 1.78865i
\(583\) −6.51428 + 3.76102i −0.0111737 + 0.00645115i
\(584\) −720.826 + 444.138i −1.23429 + 0.760511i
\(585\) 125.650 70.4145i 0.214786 0.120367i
\(586\) −67.7019 + 869.244i −0.115532 + 1.48335i
\(587\) −422.452 113.196i −0.719680 0.192838i −0.119651 0.992816i \(-0.538178\pi\)
−0.600029 + 0.799978i \(0.704844\pi\)
\(588\) −296.027 + 112.014i −0.503448 + 0.190499i
\(589\) 149.632 + 558.433i 0.254043 + 0.948103i
\(590\) −266.739 + 49.6609i −0.452100 + 0.0841710i
\(591\) 245.174 242.055i 0.414846 0.409569i
\(592\) 476.931 739.650i 0.805627 1.24941i
\(593\) 1051.17i 1.77264i 0.463074 + 0.886320i \(0.346746\pi\)
−0.463074 + 0.886320i \(0.653254\pi\)
\(594\) −22.6804 16.2100i −0.0381825 0.0272896i
\(595\) −56.1366 + 56.1366i −0.0943473 + 0.0943473i
\(596\) −376.776 + 849.959i −0.632174 + 1.42611i
\(597\) −5.15568 + 805.368i −0.00863597 + 1.34903i
\(598\) −7.24102 4.96797i −0.0121087 0.00830765i
\(599\) −97.2793 + 168.493i −0.162403 + 0.281290i −0.935730 0.352717i \(-0.885258\pi\)
0.773327 + 0.634007i \(0.218591\pi\)
\(600\) −488.652 267.833i −0.814420 0.446389i
\(601\) −318.748 + 184.030i −0.530364 + 0.306206i −0.741164 0.671323i \(-0.765726\pi\)
0.210801 + 0.977529i \(0.432393\pi\)
\(602\) 47.1104 604.864i 0.0782565 1.00476i
\(603\) −11.2409 44.2081i −0.0186417 0.0733137i
\(604\) 731.905 + 114.706i 1.21176 + 0.189911i
\(605\) −41.7101 + 155.664i −0.0689423 + 0.257296i
\(606\) −763.899 531.326i −1.26056 0.876775i
\(607\) −237.973 + 412.181i −0.392048 + 0.679046i −0.992719 0.120449i \(-0.961566\pi\)
0.600672 + 0.799496i \(0.294900\pi\)
\(608\) −393.388 508.392i −0.647020 0.836172i
\(609\) 10.2277 + 39.1717i 0.0167943 + 0.0643214i
\(610\) 33.3806 94.5075i 0.0547224 0.154930i
\(611\) −657.933 657.933i −1.07681 1.07681i
\(612\) 287.185 346.646i 0.469257 0.566415i
\(613\) 297.181 + 297.181i 0.484797 + 0.484797i 0.906660 0.421863i \(-0.138624\pi\)
−0.421863 + 0.906660i \(0.638624\pi\)
\(614\) −54.0756 + 25.8466i −0.0880709 + 0.0420954i
\(615\) −61.5787 16.9232i −0.100128 0.0275174i
\(616\) −14.2824 13.4876i −0.0231857 0.0218955i
\(617\) −444.267 + 769.492i −0.720043 + 1.24715i 0.240939 + 0.970540i \(0.422545\pi\)
−0.960982 + 0.276611i \(0.910789\pi\)
\(618\) 80.9657 + 95.8790i 0.131013 + 0.155144i
\(619\) 87.0089 324.722i 0.140564 0.524591i −0.859349 0.511389i \(-0.829131\pi\)
0.999913 0.0132015i \(-0.00420229\pi\)
\(620\) 90.5213 + 124.168i 0.146002 + 0.200271i
\(621\) 5.10731 8.46637i 0.00822434 0.0136335i
\(622\) −237.655 + 203.310i −0.382082 + 0.326865i
\(623\) −181.174 + 104.601i −0.290809 + 0.167899i
\(624\) −513.601 + 259.653i −0.823079 + 0.416111i
\(625\) 247.274 428.290i 0.395638 0.685265i
\(626\) 764.762 142.382i 1.22166 0.227447i
\(627\) 27.0425 15.3830i 0.0431301 0.0245344i
\(628\) −385.259 + 869.097i −0.613470 + 1.38391i
\(629\) −486.348 + 486.348i −0.773209 + 0.773209i
\(630\) 47.9589 + 103.731i 0.0761252 + 0.164653i
\(631\) 629.666i 0.997886i −0.866635 0.498943i \(-0.833722\pi\)
0.866635 0.498943i \(-0.166278\pi\)
\(632\) −131.837 + 244.229i −0.208603 + 0.386438i
\(633\) 84.1589 + 322.325i 0.132952 + 0.509202i
\(634\) −660.742 + 963.057i −1.04218 + 1.51902i
\(635\) −20.2173 75.4519i −0.0318382 0.118822i
\(636\) −173.973 + 17.4449i −0.273542 + 0.0274292i
\(637\) −305.463 81.8487i −0.479534 0.128491i
\(638\) 2.22600 1.90430i 0.00348902 0.00298480i
\(639\) −696.141 8.91326i −1.08942 0.0139488i
\(640\) −146.182 88.4431i −0.228409 0.138192i
\(641\) 446.270 257.654i 0.696208 0.401956i −0.109725 0.993962i \(-0.534997\pi\)
0.805934 + 0.592006i \(0.201664\pi\)
\(642\) 479.144 225.261i 0.746330 0.350873i
\(643\) −131.105 489.292i −0.203896 0.760951i −0.989783 0.142581i \(-0.954460\pi\)
0.785887 0.618370i \(-0.212207\pi\)
\(644\) 4.37595 5.42180i 0.00679495 0.00841895i
\(645\) 255.379 + 1.63484i 0.395936 + 0.00253464i
\(646\) 216.646 + 453.261i 0.335365 + 0.701642i
\(647\) −607.192 −0.938474 −0.469237 0.883072i \(-0.655471\pi\)
−0.469237 + 0.883072i \(0.655471\pi\)
\(648\) −325.686 560.208i −0.502601 0.864518i
\(649\) 52.4689i 0.0808458i
\(650\) −240.099 502.329i −0.369383 0.772814i
\(651\) −2.62892 + 410.663i −0.00403827 + 0.630819i
\(652\) 1003.85 107.155i 1.53965 0.164348i
\(653\) −1191.22 + 319.186i −1.82423 + 0.488800i −0.997295 0.0735044i \(-0.976582\pi\)
−0.826930 + 0.562304i \(0.809915\pi\)
\(654\) 568.578 267.306i 0.869386 0.408725i
\(655\) −45.7990 79.3262i −0.0699222 0.121109i
\(656\) 242.932 + 78.0632i 0.370323 + 0.118999i
\(657\) 12.1947 952.425i 0.0185611 1.44966i
\(658\) 560.982 479.911i 0.852556 0.729348i
\(659\) 29.9766 111.874i 0.0454880 0.169763i −0.939445 0.342700i \(-0.888659\pi\)
0.984933 + 0.172936i \(0.0553254\pi\)
\(660\) 5.23461 6.40140i 0.00793122 0.00969908i
\(661\) −609.368 + 163.280i −0.921889 + 0.247019i −0.688392 0.725338i \(-0.741683\pi\)
−0.233496 + 0.972358i \(0.575017\pi\)
\(662\) 565.301 823.948i 0.853928 1.24463i
\(663\) 435.178 113.625i 0.656377 0.171380i
\(664\) 509.678 152.323i 0.767587 0.229402i
\(665\) −127.539 −0.191787
\(666\) 415.499 + 898.691i 0.623872 + 1.34939i
\(667\) 0.734679 + 0.734679i 0.00110147 + 0.00110147i
\(668\) 1148.08 442.845i 1.71868 0.662941i
\(669\) 33.5820 + 59.0352i 0.0501972 + 0.0882440i
\(670\) 13.3018 2.47651i 0.0198535 0.00369628i
\(671\) −16.7858 9.69128i −0.0250161 0.0144430i
\(672\) −173.751 422.273i −0.258558 0.628382i
\(673\) 461.108 + 798.662i 0.685153 + 1.18672i 0.973389 + 0.229160i \(0.0735979\pi\)
−0.288236 + 0.957559i \(0.593069\pi\)
\(674\) −243.934 + 208.682i −0.361921 + 0.309617i
\(675\) 548.825 302.964i 0.813075 0.448835i
\(676\) 99.7715 + 15.6364i 0.147591 + 0.0231308i
\(677\) −707.727 189.635i −1.04539 0.280111i −0.305043 0.952339i \(-0.598671\pi\)
−0.740344 + 0.672228i \(0.765337\pi\)
\(678\) −216.072 255.870i −0.318690 0.377390i
\(679\) −726.111 419.221i −1.06938 0.617409i
\(680\) 97.0796 + 91.6773i 0.142764 + 0.134820i
\(681\) −226.988 + 825.945i −0.333316 + 1.21284i
\(682\) 26.8103 12.8145i 0.0393112 0.0187896i
\(683\) 142.145 142.145i 0.208119 0.208119i −0.595349 0.803467i \(-0.702986\pi\)
0.803467 + 0.595349i \(0.202986\pi\)
\(684\) 720.011 67.5457i 1.05265 0.0987510i
\(685\) 30.0465 30.0465i 0.0438635 0.0438635i
\(686\) 238.807 676.113i 0.348116 0.985587i
\(687\) −891.397 + 232.743i −1.29752 + 0.338782i
\(688\) −1019.18 50.0990i −1.48137 0.0728183i
\(689\) −151.290 87.3476i −0.219580 0.126774i
\(690\) 2.40774 + 1.67469i 0.00348948 + 0.00242708i
\(691\) 364.993 + 97.7997i 0.528210 + 0.141534i 0.513062 0.858352i \(-0.328511\pi\)
0.0151487 + 0.999885i \(0.495178\pi\)
\(692\) 852.360 621.390i 1.23173 0.897962i
\(693\) 21.4184 5.44612i 0.0309068 0.00785876i
\(694\) −1.85614 + 23.8315i −0.00267455 + 0.0343393i
\(695\) 89.8196 + 155.572i 0.129237 + 0.223845i
\(696\) 65.3645 19.0800i 0.0939145 0.0274137i
\(697\) −172.700 99.7084i −0.247776 0.143054i
\(698\) −464.658 318.796i −0.665699 0.456728i
\(699\) 798.397 + 5.11105i 1.14220 + 0.00731195i
\(700\) 412.151 158.977i 0.588788 0.227111i
\(701\) −287.537 287.537i −0.410181 0.410181i 0.471621 0.881802i \(-0.343669\pi\)
−0.881802 + 0.471621i \(0.843669\pi\)
\(702\) 62.6608 644.404i 0.0892604 0.917954i
\(703\) −1104.95 −1.57176
\(704\) −21.9885 + 24.6609i −0.0312337 + 0.0350298i
\(705\) 218.330 + 221.144i 0.309688 + 0.313679i
\(706\) 312.360 58.1545i 0.442436 0.0823717i
\(707\) 712.523 190.920i 1.00781 0.270043i
\(708\) −501.379 + 1111.78i −0.708162 + 1.57031i
\(709\) −269.191 + 1004.64i −0.379678 + 1.41698i 0.466711 + 0.884410i \(0.345439\pi\)
−0.846389 + 0.532566i \(0.821228\pi\)
\(710\) 16.0355 205.885i 0.0225852 0.289979i
\(711\) −152.642 272.378i −0.214686 0.383092i
\(712\) 184.576 + 299.562i 0.259236 + 0.420733i
\(713\) 5.26967 + 9.12734i 0.00739085 + 0.0128013i
\(714\) 63.0695 + 351.241i 0.0883327 + 0.491934i
\(715\) 7.98053 2.13838i 0.0111616 0.00299074i
\(716\) −19.0445 178.413i −0.0265985 0.249180i
\(717\) −473.376 277.359i −0.660218 0.386833i
\(718\) 891.537 + 314.896i 1.24169 + 0.438575i
\(719\) 1070.30i 1.48859i −0.667850 0.744296i \(-0.732785\pi\)
0.667850 0.744296i \(-0.267215\pi\)
\(720\) 172.088 85.6210i 0.239011 0.118918i
\(721\) −99.4833 −0.137980
\(722\) −28.3302 + 80.2086i −0.0392385 + 0.111092i
\(723\) −105.719 185.848i −0.146222 0.257051i
\(724\) 43.3288 + 405.913i 0.0598464 + 0.560653i
\(725\) 17.0496 + 63.6299i 0.0235166 + 0.0877653i
\(726\) 467.374 + 553.460i 0.643766 + 0.762342i
\(727\) 941.649 543.662i 1.29525 0.747815i 0.315673 0.948868i \(-0.397770\pi\)
0.979580 + 0.201053i \(0.0644363\pi\)
\(728\) 105.425 443.882i 0.144815 0.609728i
\(729\) 728.462 + 27.9935i 0.999262 + 0.0383999i
\(730\) 281.681 + 21.9390i 0.385864 + 0.0300534i
\(731\) 770.297 + 206.400i 1.05376 + 0.282354i
\(732\) −263.073 365.753i −0.359389 0.499662i
\(733\) −134.218 500.908i −0.183108 0.683367i −0.995028 0.0995985i \(-0.968244\pi\)
0.811920 0.583769i \(-0.198423\pi\)
\(734\) −15.7509 84.6012i −0.0214590 0.115261i
\(735\) 101.844 + 27.9890i 0.138563 + 0.0380802i
\(736\) −9.32584 7.09609i −0.0126710 0.00964142i
\(737\) 2.61654i 0.00355026i
\(738\) −220.504 + 183.801i −0.298785 + 0.249052i
\(739\) 278.867 278.867i 0.377357 0.377357i −0.492791 0.870148i \(-0.664023\pi\)
0.870148 + 0.492791i \(0.164023\pi\)
\(740\) −274.007 + 105.691i −0.370279 + 0.142826i
\(741\) 623.422 + 365.274i 0.841325 + 0.492947i
\(742\) 78.4158 114.294i 0.105682 0.154035i
\(743\) −120.359 + 208.467i −0.161990 + 0.280575i −0.935582 0.353109i \(-0.885125\pi\)
0.773592 + 0.633684i \(0.218458\pi\)
\(744\) 690.545 15.3401i 0.928152 0.0206184i
\(745\) 268.684 155.125i 0.360650 0.208221i
\(746\) 475.464 + 37.0320i 0.637352 + 0.0496407i
\(747\) −162.277 + 576.025i −0.217239 + 0.771117i
\(748\) 20.8654 15.2114i 0.0278949 0.0203361i
\(749\) −108.632 + 405.421i −0.145036 + 0.541283i
\(750\) 164.300 + 349.477i 0.219066 + 0.465969i
\(751\) 249.258 431.728i 0.331902 0.574871i −0.650983 0.759092i \(-0.725643\pi\)
0.982885 + 0.184222i \(0.0589764\pi\)
\(752\) −833.833 920.047i −1.10882 1.22347i
\(753\) 625.040 617.089i 0.830067 0.819507i
\(754\) 64.1499 + 22.6581i 0.0850794 + 0.0300506i
\(755\) −174.810 174.810i −0.231536 0.231536i
\(756\) 505.884 + 89.2686i 0.669159 + 0.118080i
\(757\) 476.124 + 476.124i 0.628962 + 0.628962i 0.947807 0.318845i \(-0.103295\pi\)
−0.318845 + 0.947807i \(0.603295\pi\)
\(758\) 298.510 + 624.536i 0.393813 + 0.823927i
\(759\) 0.403606 0.398472i 0.000531761 0.000524996i
\(760\) 6.13679 + 214.422i 0.00807473 + 0.282134i
\(761\) 700.315 1212.98i 0.920257 1.59393i 0.121239 0.992623i \(-0.461313\pi\)
0.799017 0.601308i \(-0.205354\pi\)
\(762\) −330.324 119.056i −0.433496 0.156242i
\(763\) −128.909 + 481.094i −0.168950 + 0.630530i
\(764\) −1314.80 206.059i −1.72094 0.269710i
\(765\) −145.584 + 37.0181i −0.190306 + 0.0483897i
\(766\) −602.107 703.821i −0.786041 0.918826i
\(767\) −1055.30 + 609.280i −1.37588 + 0.794367i
\(768\) −701.576 + 312.433i −0.913511 + 0.406814i
\(769\) −55.9685 + 96.9402i −0.0727808 + 0.126060i −0.900119 0.435644i \(-0.856521\pi\)
0.827338 + 0.561704i \(0.189854\pi\)
\(770\) 1.19984 + 6.44461i 0.00155824 + 0.00836962i
\(771\) −1101.39 645.326i −1.42853 0.836999i
\(772\) 799.337 308.325i 1.03541 0.399385i
\(773\) 152.282 152.282i 0.197001 0.197001i −0.6