Properties

Label 36.3.f.c.7.3
Level 36
Weight 3
Character 36.7
Analytic conductor 0.981
Analytic rank 0
Dimension 16
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 36 = 2^{2} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 36.f (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.980928951697\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(8\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \(x^{16} - 3 x^{15} + 7 x^{14} - 30 x^{13} + 76 x^{12} - 144 x^{11} + 424 x^{10} - 912 x^{9} + 1552 x^{8} - 3648 x^{7} + 6784 x^{6} - 9216 x^{5} + 19456 x^{4} - 30720 x^{3} + 28672 x^{2} - 49152 x + 65536\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2^{8}\cdot 3^{3} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 7.3
Root \(1.63139 - 1.15696i\) of defining polynomial
Character \(\chi\) \(=\) 36.7
Dual form 36.3.f.c.31.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.63139 + 1.15696i) q^{2} +(2.67178 - 1.36441i) q^{3} +(1.32286 - 3.77492i) q^{4} +(3.07403 + 5.32438i) q^{5} +(-2.78013 + 5.31703i) q^{6} +(-0.511543 - 0.295340i) q^{7} +(2.20934 + 7.68888i) q^{8} +(5.27677 - 7.29079i) q^{9} +O(q^{10})\) \(q+(-1.63139 + 1.15696i) q^{2} +(2.67178 - 1.36441i) q^{3} +(1.32286 - 3.77492i) q^{4} +(3.07403 + 5.32438i) q^{5} +(-2.78013 + 5.31703i) q^{6} +(-0.511543 - 0.295340i) q^{7} +(2.20934 + 7.68888i) q^{8} +(5.27677 - 7.29079i) q^{9} +(-11.1751 - 5.12959i) q^{10} +(-15.1205 - 8.72982i) q^{11} +(-1.61614 - 11.8907i) q^{12} +(-0.892255 - 1.54543i) q^{13} +(1.17622 - 0.110024i) q^{14} +(15.4778 + 10.0313i) q^{15} +(-12.5001 - 9.98742i) q^{16} -16.9171 q^{17} +(-0.173276 + 17.9992i) q^{18} +19.5058i q^{19} +(24.1656 - 4.56079i) q^{20} +(-1.76969 - 0.0911265i) q^{21} +(34.7675 - 3.25214i) q^{22} +(6.86778 - 3.96511i) q^{23} +(16.3936 + 17.5285i) q^{24} +(-6.39933 + 11.0840i) q^{25} +(3.24362 + 1.48889i) q^{26} +(4.15071 - 26.6790i) q^{27} +(-1.79159 + 1.54034i) q^{28} +(3.17517 - 5.49956i) q^{29} +(-36.8561 + 1.54225i) q^{30} +(-27.6558 + 15.9671i) q^{31} +(31.9476 + 1.83125i) q^{32} +(-52.3096 - 2.69357i) q^{33} +(27.5984 - 19.5725i) q^{34} -3.63153i q^{35} +(-20.5417 - 29.5641i) q^{36} +58.2834 q^{37} +(-22.5675 - 31.8215i) q^{38} +(-4.49251 - 2.91164i) q^{39} +(-34.1469 + 35.3992i) q^{40} +(-2.66948 - 4.62368i) q^{41} +(2.99249 - 1.89881i) q^{42} +(33.9324 + 19.5909i) q^{43} +(-52.9567 + 45.5303i) q^{44} +(55.0399 + 5.68339i) q^{45} +(-6.61653 + 14.4144i) q^{46} +(9.64117 + 5.56633i) q^{47} +(-47.0243 - 9.62895i) q^{48} +(-24.3255 - 42.1331i) q^{49} +(-2.38396 - 25.4861i) q^{50} +(-45.1987 + 23.0819i) q^{51} +(-7.01421 + 1.32380i) q^{52} +35.8770 q^{53} +(24.0953 + 48.3262i) q^{54} -107.343i q^{55} +(1.14066 - 4.58570i) q^{56} +(26.6139 + 52.1151i) q^{57} +(1.18285 + 12.6455i) q^{58} +(20.8974 - 12.0651i) q^{59} +(58.3424 - 45.1572i) q^{60} +(-37.9460 + 65.7244i) q^{61} +(26.6441 - 58.0454i) q^{62} +(-4.85256 + 2.17112i) q^{63} +(-54.2376 + 33.9747i) q^{64} +(5.48564 - 9.50141i) q^{65} +(88.4537 - 56.1261i) q^{66} +(31.8200 - 18.3713i) q^{67} +(-22.3790 + 63.8607i) q^{68} +(12.9391 - 19.9644i) q^{69} +(4.20156 + 5.92445i) q^{70} +87.8370i q^{71} +(67.7162 + 24.4646i) q^{72} -60.0423 q^{73} +(-95.0830 + 67.4319i) q^{74} +(-1.97450 + 38.3452i) q^{75} +(73.6328 + 25.8035i) q^{76} +(5.15652 + 8.93136i) q^{77} +(10.6977 - 0.447647i) q^{78} +(-32.1841 - 18.5815i) q^{79} +(14.7512 - 97.2567i) q^{80} +(-25.3114 - 76.9437i) q^{81} +(9.70439 + 4.45452i) q^{82} +(66.0281 + 38.1214i) q^{83} +(-2.68506 + 6.55991i) q^{84} +(-52.0037 - 90.0730i) q^{85} +(-78.0229 + 7.29823i) q^{86} +(0.979694 - 19.0258i) q^{87} +(33.7161 - 135.547i) q^{88} -27.5873 q^{89} +(-96.3670 + 54.4074i) q^{90} +1.05407i q^{91} +(-5.88285 - 31.1706i) q^{92} +(-52.1045 + 80.3944i) q^{93} +(-22.1686 + 2.07364i) q^{94} +(-103.856 + 59.9614i) q^{95} +(87.8553 - 38.6969i) q^{96} +(13.0585 - 22.6180i) q^{97} +(88.4309 + 40.5917i) q^{98} +(-143.435 + 64.1751i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q - 3q^{2} - 5q^{4} + 6q^{5} + 9q^{6} - 54q^{8} + 18q^{9} + O(q^{10}) \) \( 16q - 3q^{2} - 5q^{4} + 6q^{5} + 9q^{6} - 54q^{8} + 18q^{9} + 20q^{10} - 36q^{12} - 46q^{13} - 12q^{14} - 17q^{16} + 12q^{17} + 48q^{18} + 36q^{20} - 66q^{21} + 33q^{22} + 129q^{24} - 30q^{25} + 72q^{26} + 12q^{28} + 42q^{29} + 84q^{30} + 87q^{32} - 168q^{33} + 11q^{34} - 81q^{36} + 56q^{37} - 99q^{38} + 68q^{40} + 84q^{41} - 354q^{42} - 222q^{44} + 174q^{45} - 264q^{46} - 189q^{48} + 58q^{49} - 219q^{50} + 110q^{52} - 72q^{53} - 105q^{54} + 270q^{56} + 366q^{57} - 16q^{58} + 432q^{60} - 34q^{61} + 516q^{62} - 254q^{64} - 30q^{65} + 510q^{66} + 375q^{68} - 54q^{69} + 150q^{70} - 45q^{72} + 116q^{73} - 372q^{74} - 15q^{76} - 330q^{77} - 294q^{78} - 720q^{80} - 102q^{81} + 254q^{82} - 714q^{84} - 140q^{85} - 273q^{86} + 75q^{88} - 384q^{89} + 108q^{90} + 258q^{92} - 486q^{93} + 36q^{94} + 900q^{96} - 148q^{97} + 1170q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).

\(n\) \(19\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.63139 + 1.15696i −0.815695 + 0.578482i
\(3\) 2.67178 1.36441i 0.890592 0.454803i
\(4\) 1.32286 3.77492i 0.330716 0.943730i
\(5\) 3.07403 + 5.32438i 0.614806 + 1.06488i 0.990418 + 0.138099i \(0.0440991\pi\)
−0.375612 + 0.926777i \(0.622568\pi\)
\(6\) −2.78013 + 5.31703i −0.463356 + 0.886172i
\(7\) −0.511543 0.295340i −0.0730776 0.0421914i 0.463016 0.886350i \(-0.346767\pi\)
−0.536094 + 0.844159i \(0.680101\pi\)
\(8\) 2.20934 + 7.68888i 0.276168 + 0.961109i
\(9\) 5.27677 7.29079i 0.586308 0.810088i
\(10\) −11.1751 5.12959i −1.11751 0.512959i
\(11\) −15.1205 8.72982i −1.37459 0.793620i −0.383088 0.923712i \(-0.625139\pi\)
−0.991502 + 0.130092i \(0.958473\pi\)
\(12\) −1.61614 11.8907i −0.134678 0.990889i
\(13\) −0.892255 1.54543i −0.0686350 0.118879i 0.829666 0.558261i \(-0.188531\pi\)
−0.898301 + 0.439381i \(0.855198\pi\)
\(14\) 1.17622 0.110024i 0.0840160 0.00785882i
\(15\) 15.4778 + 10.0313i 1.03185 + 0.668754i
\(16\) −12.5001 9.98742i −0.781254 0.624214i
\(17\) −16.9171 −0.995123 −0.497562 0.867429i \(-0.665771\pi\)
−0.497562 + 0.867429i \(0.665771\pi\)
\(18\) −0.173276 + 17.9992i −0.00962646 + 0.999954i
\(19\) 19.5058i 1.02662i 0.858203 + 0.513310i \(0.171581\pi\)
−0.858203 + 0.513310i \(0.828419\pi\)
\(20\) 24.1656 4.56079i 1.20828 0.228040i
\(21\) −1.76969 0.0911265i −0.0842711 0.00433936i
\(22\) 34.7675 3.25214i 1.58034 0.147824i
\(23\) 6.86778 3.96511i 0.298599 0.172396i −0.343214 0.939257i \(-0.611516\pi\)
0.641813 + 0.766861i \(0.278182\pi\)
\(24\) 16.3936 + 17.5285i 0.683069 + 0.730354i
\(25\) −6.39933 + 11.0840i −0.255973 + 0.443359i
\(26\) 3.24362 + 1.48889i 0.124755 + 0.0572651i
\(27\) 4.15071 26.6790i 0.153730 0.988113i
\(28\) −1.79159 + 1.54034i −0.0639852 + 0.0550122i
\(29\) 3.17517 5.49956i 0.109489 0.189640i −0.806075 0.591814i \(-0.798412\pi\)
0.915563 + 0.402174i \(0.131745\pi\)
\(30\) −36.8561 + 1.54225i −1.22854 + 0.0514084i
\(31\) −27.6558 + 15.9671i −0.892124 + 0.515068i −0.874637 0.484779i \(-0.838900\pi\)
−0.0174873 + 0.999847i \(0.505567\pi\)
\(32\) 31.9476 + 1.83125i 0.998361 + 0.0572266i
\(33\) −52.3096 2.69357i −1.58514 0.0816233i
\(34\) 27.5984 19.5725i 0.811717 0.575661i
\(35\) 3.63153i 0.103758i
\(36\) −20.5417 29.5641i −0.570603 0.821226i
\(37\) 58.2834 1.57523 0.787614 0.616169i \(-0.211316\pi\)
0.787614 + 0.616169i \(0.211316\pi\)
\(38\) −22.5675 31.8215i −0.593881 0.837408i
\(39\) −4.49251 2.91164i −0.115192 0.0746575i
\(40\) −34.1469 + 35.3992i −0.853672 + 0.884980i
\(41\) −2.66948 4.62368i −0.0651093 0.112773i 0.831633 0.555325i \(-0.187406\pi\)
−0.896742 + 0.442553i \(0.854073\pi\)
\(42\) 2.99249 1.89881i 0.0712498 0.0452098i
\(43\) 33.9324 + 19.5909i 0.789126 + 0.455602i 0.839655 0.543121i \(-0.182757\pi\)
−0.0505290 + 0.998723i \(0.516091\pi\)
\(44\) −52.9567 + 45.5303i −1.20356 + 1.03478i
\(45\) 55.0399 + 5.68339i 1.22311 + 0.126298i
\(46\) −6.61653 + 14.4144i −0.143838 + 0.313357i
\(47\) 9.64117 + 5.56633i 0.205131 + 0.118433i 0.599047 0.800714i \(-0.295546\pi\)
−0.393915 + 0.919147i \(0.628880\pi\)
\(48\) −47.0243 9.62895i −0.979673 0.200603i
\(49\) −24.3255 42.1331i −0.496440 0.859859i
\(50\) −2.38396 25.4861i −0.0476791 0.509721i
\(51\) −45.1987 + 23.0819i −0.886249 + 0.452585i
\(52\) −7.01421 + 1.32380i −0.134889 + 0.0254576i
\(53\) 35.8770 0.676925 0.338462 0.940980i \(-0.390093\pi\)
0.338462 + 0.940980i \(0.390093\pi\)
\(54\) 24.0953 + 48.3262i 0.446209 + 0.894929i
\(55\) 107.343i 1.95169i
\(56\) 1.14066 4.58570i 0.0203689 0.0818875i
\(57\) 26.6139 + 52.1151i 0.466910 + 0.914299i
\(58\) 1.18285 + 12.6455i 0.0203940 + 0.218026i
\(59\) 20.8974 12.0651i 0.354194 0.204494i −0.312337 0.949971i \(-0.601112\pi\)
0.666531 + 0.745477i \(0.267778\pi\)
\(60\) 58.3424 45.1572i 0.972373 0.752621i
\(61\) −37.9460 + 65.7244i −0.622066 + 1.07745i 0.367034 + 0.930207i \(0.380373\pi\)
−0.989100 + 0.147243i \(0.952960\pi\)
\(62\) 26.6441 58.0454i 0.429743 0.936216i
\(63\) −4.85256 + 2.17112i −0.0770247 + 0.0344622i
\(64\) −54.2376 + 33.9747i −0.847463 + 0.530855i
\(65\) 5.48564 9.50141i 0.0843944 0.146175i
\(66\) 88.4537 56.1261i 1.34021 0.850395i
\(67\) 31.8200 18.3713i 0.474925 0.274198i −0.243374 0.969933i \(-0.578254\pi\)
0.718299 + 0.695734i \(0.244921\pi\)
\(68\) −22.3790 + 63.8607i −0.329103 + 0.939128i
\(69\) 12.9391 19.9644i 0.187524 0.289339i
\(70\) 4.20156 + 5.92445i 0.0600222 + 0.0846350i
\(71\) 87.8370i 1.23714i 0.785730 + 0.618570i \(0.212288\pi\)
−0.785730 + 0.618570i \(0.787712\pi\)
\(72\) 67.7162 + 24.4646i 0.940503 + 0.339786i
\(73\) −60.0423 −0.822498 −0.411249 0.911523i \(-0.634907\pi\)
−0.411249 + 0.911523i \(0.634907\pi\)
\(74\) −95.0830 + 67.4319i −1.28490 + 0.911241i
\(75\) −1.97450 + 38.3452i −0.0263267 + 0.511269i
\(76\) 73.6328 + 25.8035i 0.968852 + 0.339520i
\(77\) 5.15652 + 8.93136i 0.0669678 + 0.115992i
\(78\) 10.6977 0.447647i 0.137150 0.00573907i
\(79\) −32.1841 18.5815i −0.407394 0.235209i 0.282275 0.959333i \(-0.408911\pi\)
−0.689669 + 0.724124i \(0.742244\pi\)
\(80\) 14.7512 97.2567i 0.184391 1.21571i
\(81\) −25.3114 76.9437i −0.312486 0.949922i
\(82\) 9.70439 + 4.45452i 0.118346 + 0.0543234i
\(83\) 66.0281 + 38.1214i 0.795520 + 0.459294i 0.841902 0.539630i \(-0.181436\pi\)
−0.0463824 + 0.998924i \(0.514769\pi\)
\(84\) −2.68506 + 6.55991i −0.0319650 + 0.0780941i
\(85\) −52.0037 90.0730i −0.611808 1.05968i
\(86\) −78.0229 + 7.29823i −0.907243 + 0.0848632i
\(87\) 0.979694 19.0258i 0.0112609 0.218688i
\(88\) 33.7161 135.547i 0.383138 1.54030i
\(89\) −27.5873 −0.309969 −0.154985 0.987917i \(-0.549533\pi\)
−0.154985 + 0.987917i \(0.549533\pi\)
\(90\) −96.3670 + 54.4074i −1.07074 + 0.604527i
\(91\) 1.05407i 0.0115832i
\(92\) −5.88285 31.1706i −0.0639440 0.338811i
\(93\) −52.1045 + 80.3944i −0.560264 + 0.864456i
\(94\) −22.1686 + 2.07364i −0.235836 + 0.0220600i
\(95\) −103.856 + 59.9614i −1.09322 + 0.631172i
\(96\) 87.8553 38.6969i 0.915159 0.403092i
\(97\) 13.0585 22.6180i 0.134624 0.233176i −0.790830 0.612036i \(-0.790351\pi\)
0.925454 + 0.378861i \(0.123684\pi\)
\(98\) 88.4309 + 40.5917i 0.902357 + 0.414201i
\(99\) −143.435 + 64.1751i −1.44883 + 0.648234i
\(100\) 33.3757 + 38.8196i 0.333757 + 0.388196i
\(101\) −12.8831 + 22.3142i −0.127556 + 0.220933i −0.922729 0.385449i \(-0.874047\pi\)
0.795173 + 0.606382i \(0.207380\pi\)
\(102\) 47.0318 89.9488i 0.461096 0.881851i
\(103\) 16.9947 9.81187i 0.164997 0.0952609i −0.415228 0.909717i \(-0.636298\pi\)
0.580225 + 0.814457i \(0.302965\pi\)
\(104\) 9.91133 10.2748i 0.0953012 0.0987964i
\(105\) −4.95490 9.70264i −0.0471895 0.0924061i
\(106\) −58.5294 + 41.5085i −0.552164 + 0.391589i
\(107\) 183.200i 1.71215i −0.516850 0.856076i \(-0.672895\pi\)
0.516850 0.856076i \(-0.327105\pi\)
\(108\) −95.2205 50.9614i −0.881671 0.471865i
\(109\) 100.841 0.925147 0.462573 0.886581i \(-0.346926\pi\)
0.462573 + 0.886581i \(0.346926\pi\)
\(110\) 124.192 + 175.118i 1.12902 + 1.59198i
\(111\) 155.720 79.5225i 1.40288 0.716419i
\(112\) 3.44464 + 8.80076i 0.0307557 + 0.0785782i
\(113\) −9.12484 15.8047i −0.0807508 0.139865i 0.822822 0.568299i \(-0.192398\pi\)
−0.903573 + 0.428435i \(0.859065\pi\)
\(114\) −103.713 54.2286i −0.909762 0.475690i
\(115\) 42.2235 + 24.3778i 0.367161 + 0.211981i
\(116\) −16.5601 19.2612i −0.142759 0.166045i
\(117\) −15.9756 1.64964i −0.136544 0.0140995i
\(118\) −20.1329 + 43.8606i −0.170618 + 0.371700i
\(119\) 8.65383 + 4.99629i 0.0727212 + 0.0419856i
\(120\) −42.9338 + 141.169i −0.357782 + 1.17641i
\(121\) 91.9194 + 159.209i 0.759664 + 1.31578i
\(122\) −14.1361 151.124i −0.115870 1.23872i
\(123\) −13.4408 8.71116i −0.109275 0.0708224i
\(124\) 23.6896 + 125.521i 0.191045 + 1.01227i
\(125\) 75.0146 0.600117
\(126\) 5.40451 9.15618i 0.0428929 0.0726681i
\(127\) 164.386i 1.29438i 0.762331 + 0.647188i \(0.224055\pi\)
−0.762331 + 0.647188i \(0.775945\pi\)
\(128\) 49.1751 118.177i 0.384181 0.923258i
\(129\) 117.390 + 6.04473i 0.909998 + 0.0468584i
\(130\) 2.04358 + 21.8472i 0.0157198 + 0.168055i
\(131\) 123.421 71.2570i 0.942143 0.543947i 0.0515116 0.998672i \(-0.483596\pi\)
0.890631 + 0.454726i \(0.150263\pi\)
\(132\) −79.3665 + 193.901i −0.601262 + 1.46895i
\(133\) 5.76083 9.97805i 0.0433145 0.0750229i
\(134\) −30.6559 + 66.7853i −0.228775 + 0.498398i
\(135\) 154.809 59.9122i 1.14673 0.443794i
\(136\) −37.3757 130.073i −0.274821 0.956422i
\(137\) −3.08176 + 5.33777i −0.0224946 + 0.0389618i −0.877054 0.480393i \(-0.840494\pi\)
0.854559 + 0.519354i \(0.173828\pi\)
\(138\) 1.98931 + 47.5398i 0.0144153 + 0.344491i
\(139\) −103.168 + 59.5642i −0.742218 + 0.428519i −0.822875 0.568222i \(-0.807631\pi\)
0.0806575 + 0.996742i \(0.474298\pi\)
\(140\) −13.7088 4.80403i −0.0979197 0.0343145i
\(141\) 33.3538 + 1.71748i 0.236552 + 0.0121807i
\(142\) −101.624 143.296i −0.715664 1.00913i
\(143\) 31.1569i 0.217880i
\(144\) −138.776 + 38.4340i −0.963723 + 0.266903i
\(145\) 39.0423 0.269257
\(146\) 97.9524 69.4669i 0.670907 0.475800i
\(147\) −122.479 79.3801i −0.833192 0.540001i
\(148\) 77.1011 220.015i 0.520953 1.48659i
\(149\) −103.365 179.034i −0.693726 1.20157i −0.970608 0.240665i \(-0.922634\pi\)
0.276882 0.960904i \(-0.410699\pi\)
\(150\) −41.1429 64.8404i −0.274286 0.432269i
\(151\) −127.422 73.5670i −0.843853 0.487199i 0.0147190 0.999892i \(-0.495315\pi\)
−0.858572 + 0.512693i \(0.828648\pi\)
\(152\) −149.977 + 43.0949i −0.986694 + 0.283519i
\(153\) −89.2676 + 123.339i −0.583449 + 0.806138i
\(154\) −18.7456 8.60461i −0.121724 0.0558741i
\(155\) −170.030 98.1668i −1.09697 0.633334i
\(156\) −16.9342 + 13.1071i −0.108553 + 0.0840202i
\(157\) 31.4395 + 54.4548i 0.200251 + 0.346846i 0.948609 0.316449i \(-0.102491\pi\)
−0.748358 + 0.663295i \(0.769157\pi\)
\(158\) 74.0030 6.92221i 0.468373 0.0438115i
\(159\) 95.8554 48.9510i 0.602864 0.307868i
\(160\) 88.4575 + 175.730i 0.552859 + 1.09831i
\(161\) −4.68422 −0.0290946
\(162\) 130.314 + 96.2408i 0.804407 + 0.594079i
\(163\) 143.325i 0.879292i 0.898171 + 0.439646i \(0.144896\pi\)
−0.898171 + 0.439646i \(0.855104\pi\)
\(164\) −20.9854 + 3.96058i −0.127960 + 0.0241499i
\(165\) −146.460 286.796i −0.887635 1.73816i
\(166\) −151.823 + 14.2014i −0.914595 + 0.0855508i
\(167\) −150.531 + 86.9089i −0.901381 + 0.520413i −0.877648 0.479306i \(-0.840889\pi\)
−0.0237332 + 0.999718i \(0.507555\pi\)
\(168\) −3.20920 13.8083i −0.0191024 0.0821922i
\(169\) 82.9078 143.600i 0.490578 0.849707i
\(170\) 189.050 + 86.7777i 1.11206 + 0.510457i
\(171\) 142.213 + 102.927i 0.831653 + 0.601915i
\(172\) 118.842 102.176i 0.690942 0.594047i
\(173\) −125.806 + 217.902i −0.727201 + 1.25955i 0.230861 + 0.972987i \(0.425846\pi\)
−0.958062 + 0.286562i \(0.907488\pi\)
\(174\) 20.4140 + 32.1720i 0.117322 + 0.184897i
\(175\) 6.54707 3.77995i 0.0374118 0.0215997i
\(176\) 101.819 + 260.138i 0.578515 + 1.47806i
\(177\) 39.3715 60.7480i 0.222438 0.343209i
\(178\) 45.0056 31.9175i 0.252840 0.179312i
\(179\) 96.0059i 0.536346i −0.963371 0.268173i \(-0.913580\pi\)
0.963371 0.268173i \(-0.0864199\pi\)
\(180\) 94.2647 200.253i 0.523693 1.11252i
\(181\) −328.757 −1.81634 −0.908170 0.418603i \(-0.862520\pi\)
−0.908170 + 0.418603i \(0.862520\pi\)
\(182\) −1.21953 1.71960i −0.00670069 0.00944838i
\(183\) −11.7082 + 227.375i −0.0639791 + 1.24249i
\(184\) 45.6605 + 44.0452i 0.248155 + 0.239376i
\(185\) 179.165 + 310.323i 0.968460 + 1.67742i
\(186\) −8.01075 191.438i −0.0430685 1.02924i
\(187\) 255.795 + 147.683i 1.36789 + 0.789749i
\(188\) 33.7664 29.0312i 0.179609 0.154421i
\(189\) −10.0027 + 12.4216i −0.0529241 + 0.0657229i
\(190\) 100.057 217.978i 0.526614 1.14725i
\(191\) 0.351914 + 0.203178i 0.00184248 + 0.00106376i 0.500921 0.865493i \(-0.332995\pi\)
−0.499078 + 0.866557i \(0.666328\pi\)
\(192\) −98.5553 + 164.775i −0.513309 + 0.858204i
\(193\) −31.2230 54.0798i −0.161777 0.280206i 0.773729 0.633517i \(-0.218389\pi\)
−0.935506 + 0.353311i \(0.885056\pi\)
\(194\) 4.86472 + 52.0071i 0.0250759 + 0.268078i
\(195\) 1.69258 32.8703i 0.00867992 0.168566i
\(196\) −191.228 + 36.0906i −0.975656 + 0.184136i
\(197\) −207.861 −1.05513 −0.527566 0.849514i \(-0.676895\pi\)
−0.527566 + 0.849514i \(0.676895\pi\)
\(198\) 159.749 270.643i 0.806815 1.36689i
\(199\) 299.128i 1.50316i −0.659643 0.751579i \(-0.729293\pi\)
0.659643 0.751579i \(-0.270707\pi\)
\(200\) −99.3616 24.7154i −0.496808 0.123577i
\(201\) 59.9499 92.4995i 0.298258 0.460196i
\(202\) −4.79938 51.3085i −0.0237593 0.254003i
\(203\) −3.24848 + 1.87551i −0.0160024 + 0.00923896i
\(204\) 27.3404 + 201.156i 0.134022 + 0.986057i
\(205\) 16.4121 28.4266i 0.0800592 0.138667i
\(206\) −16.3729 + 35.6692i −0.0794802 + 0.173152i
\(207\) 7.33086 70.9946i 0.0354148 0.342969i
\(208\) −4.28163 + 28.2293i −0.0205848 + 0.135718i
\(209\) 170.282 294.937i 0.814746 1.41118i
\(210\) 19.3090 + 10.0961i 0.0919476 + 0.0480769i
\(211\) 141.744 81.8360i 0.671773 0.387848i −0.124975 0.992160i \(-0.539885\pi\)
0.796748 + 0.604311i \(0.206552\pi\)
\(212\) 47.4605 135.433i 0.223870 0.638835i
\(213\) 119.846 + 234.681i 0.562656 + 1.10179i
\(214\) 211.956 + 298.871i 0.990450 + 1.39659i
\(215\) 240.892i 1.12043i
\(216\) 214.302 27.0288i 0.992140 0.125133i
\(217\) 18.8629 0.0869257
\(218\) −164.511 + 116.669i −0.754637 + 0.535181i
\(219\) −160.420 + 81.9223i −0.732510 + 0.374075i
\(220\) −405.211 142.000i −1.84187 0.645455i
\(221\) 15.0944 + 26.1442i 0.0683003 + 0.118300i
\(222\) −162.036 + 309.895i −0.729890 + 1.39592i
\(223\) −330.681 190.919i −1.48287 0.856138i −0.483063 0.875586i \(-0.660476\pi\)
−0.999811 + 0.0194478i \(0.993809\pi\)
\(224\) −15.8017 10.3721i −0.0705434 0.0463042i
\(225\) 47.0431 + 105.144i 0.209081 + 0.467306i
\(226\) 33.1717 + 15.2265i 0.146777 + 0.0673739i
\(227\) 51.5472 + 29.7608i 0.227080 + 0.131105i 0.609224 0.792998i \(-0.291481\pi\)
−0.382144 + 0.924103i \(0.624814\pi\)
\(228\) 231.937 31.5241i 1.01727 0.138264i
\(229\) 64.4366 + 111.608i 0.281383 + 0.487369i 0.971726 0.236113i \(-0.0758736\pi\)
−0.690343 + 0.723482i \(0.742540\pi\)
\(230\) −97.0873 + 9.08150i −0.422118 + 0.0394848i
\(231\) 25.9631 + 16.8270i 0.112394 + 0.0728441i
\(232\) 49.3005 + 12.2631i 0.212502 + 0.0528582i
\(233\) 14.9939 0.0643513 0.0321757 0.999482i \(-0.489756\pi\)
0.0321757 + 0.999482i \(0.489756\pi\)
\(234\) 27.9711 15.7921i 0.119535 0.0674874i
\(235\) 68.4443i 0.291252i
\(236\) −17.9005 94.8467i −0.0758495 0.401893i
\(237\) −111.342 5.73329i −0.469796 0.0241911i
\(238\) −19.8983 + 1.86128i −0.0836063 + 0.00782050i
\(239\) 315.244 182.006i 1.31901 0.761532i 0.335442 0.942061i \(-0.391114\pi\)
0.983570 + 0.180529i \(0.0577811\pi\)
\(240\) −93.2860 279.975i −0.388691 1.16656i
\(241\) −40.5235 + 70.1888i −0.168147 + 0.291240i −0.937769 0.347261i \(-0.887112\pi\)
0.769621 + 0.638501i \(0.220445\pi\)
\(242\) −334.156 153.385i −1.38081 0.633820i
\(243\) −172.609 171.041i −0.710326 0.703873i
\(244\) 197.907 + 230.188i 0.811095 + 0.943393i
\(245\) 149.555 259.037i 0.610428 1.05729i
\(246\) 32.0058 1.33929i 0.130105 0.00544426i
\(247\) 30.1448 17.4041i 0.122044 0.0704620i
\(248\) −183.870 177.366i −0.741413 0.715184i
\(249\) 228.426 + 11.7623i 0.917372 + 0.0472381i
\(250\) −122.378 + 86.7892i −0.489512 + 0.347157i
\(251\) 281.883i 1.12304i 0.827463 + 0.561520i \(0.189783\pi\)
−0.827463 + 0.561520i \(0.810217\pi\)
\(252\) 1.77652 + 21.1901i 0.00704968 + 0.0840878i
\(253\) −138.459 −0.547268
\(254\) −190.188 268.177i −0.748773 1.05582i
\(255\) −261.839 169.701i −1.02682 0.665492i
\(256\) 56.5028 + 249.687i 0.220714 + 0.975339i
\(257\) −37.6564 65.2227i −0.146523 0.253785i 0.783417 0.621496i \(-0.213475\pi\)
−0.929940 + 0.367711i \(0.880142\pi\)
\(258\) −198.502 + 125.955i −0.769388 + 0.488196i
\(259\) −29.8145 17.2134i −0.115114 0.0664610i
\(260\) −28.6103 33.2769i −0.110040 0.127988i
\(261\) −23.3415 52.1695i −0.0894311 0.199883i
\(262\) −118.905 + 259.041i −0.453838 + 0.988708i
\(263\) 105.914 + 61.1497i 0.402716 + 0.232508i 0.687655 0.726037i \(-0.258640\pi\)
−0.284939 + 0.958546i \(0.591973\pi\)
\(264\) −94.8593 408.153i −0.359315 1.54603i
\(265\) 110.287 + 191.023i 0.416178 + 0.720841i
\(266\) 2.14609 + 22.9432i 0.00806802 + 0.0862525i
\(267\) −73.7070 + 37.6403i −0.276056 + 0.140975i
\(268\) −27.2566 144.421i −0.101704 0.538883i
\(269\) 280.452 1.04257 0.521287 0.853382i \(-0.325452\pi\)
0.521287 + 0.853382i \(0.325452\pi\)
\(270\) −183.237 + 276.848i −0.678656 + 1.02536i
\(271\) 81.4468i 0.300542i −0.988645 0.150271i \(-0.951985\pi\)
0.988645 0.150271i \(-0.0480146\pi\)
\(272\) 211.465 + 168.958i 0.777443 + 0.621170i
\(273\) 1.43819 + 2.81625i 0.00526809 + 0.0103159i
\(274\) −1.14805 12.2735i −0.00418998 0.0447937i
\(275\) 193.522 111.730i 0.703716 0.406291i
\(276\) −58.2472 75.2543i −0.211040 0.272661i
\(277\) 224.861 389.471i 0.811774 1.40603i −0.0998479 0.995003i \(-0.531836\pi\)
0.911622 0.411031i \(-0.134831\pi\)
\(278\) 99.3939 216.534i 0.357532 0.778901i
\(279\) −29.5206 + 285.888i −0.105809 + 1.02469i
\(280\) 27.9224 8.02330i 0.0997229 0.0286546i
\(281\) −37.8649 + 65.5838i −0.134750 + 0.233394i −0.925502 0.378743i \(-0.876357\pi\)
0.790752 + 0.612137i \(0.209690\pi\)
\(282\) −56.4001 + 35.7873i −0.200000 + 0.126905i
\(283\) 322.061 185.942i 1.13803 0.657039i 0.192084 0.981378i \(-0.438475\pi\)
0.945941 + 0.324339i \(0.105142\pi\)
\(284\) 331.578 + 116.196i 1.16753 + 0.409142i
\(285\) −195.668 + 301.906i −0.686556 + 1.05932i
\(286\) −36.0474 50.8290i −0.126040 0.177724i
\(287\) 3.15361i 0.0109882i
\(288\) 181.931 223.260i 0.631706 0.775208i
\(289\) −2.81196 −0.00972996
\(290\) −63.6932 + 45.1706i −0.219632 + 0.155761i
\(291\) 4.02919 78.2475i 0.0138460 0.268892i
\(292\) −79.4279 + 226.655i −0.272013 + 0.776216i
\(293\) −66.3946 114.999i −0.226603 0.392488i 0.730196 0.683237i \(-0.239429\pi\)
−0.956799 + 0.290750i \(0.906095\pi\)
\(294\) 291.651 12.2042i 0.992011 0.0415109i
\(295\) 128.479 + 74.1772i 0.435521 + 0.251448i
\(296\) 128.768 + 448.134i 0.435027 + 1.51397i
\(297\) −295.664 + 367.165i −0.995502 + 1.23625i
\(298\) 375.765 + 172.484i 1.26096 + 0.578806i
\(299\) −12.2556 7.07579i −0.0409887 0.0236648i
\(300\) 142.138 + 58.1791i 0.473794 + 0.193930i
\(301\) −11.5719 20.0432i −0.0384450 0.0665886i
\(302\) 292.989 27.4061i 0.970163 0.0907486i
\(303\) −3.97507 + 77.1965i −0.0131190 + 0.254774i
\(304\) 194.812 243.823i 0.640830 0.802050i
\(305\) −466.589 −1.52980
\(306\) 2.93133 304.494i 0.00957952 0.995077i
\(307\) 336.514i 1.09614i 0.836434 + 0.548068i \(0.184637\pi\)
−0.836434 + 0.548068i \(0.815363\pi\)
\(308\) 40.5366 7.65048i 0.131612 0.0248392i
\(309\) 32.0185 49.4028i 0.103620 0.159880i
\(310\) 390.960 36.5703i 1.26116 0.117969i
\(311\) −304.206 + 175.634i −0.978156 + 0.564738i −0.901713 0.432336i \(-0.857690\pi\)
−0.0764428 + 0.997074i \(0.524356\pi\)
\(312\) 12.4618 40.9751i 0.0399416 0.131331i
\(313\) −95.4299 + 165.289i −0.304888 + 0.528081i −0.977236 0.212154i \(-0.931952\pi\)
0.672349 + 0.740235i \(0.265286\pi\)
\(314\) −114.292 52.4626i −0.363988 0.167078i
\(315\) −26.4768 19.1628i −0.0840532 0.0608342i
\(316\) −112.719 + 96.9117i −0.356706 + 0.306683i
\(317\) −202.797 + 351.255i −0.639738 + 1.10806i 0.345752 + 0.938326i \(0.387624\pi\)
−0.985490 + 0.169733i \(0.945709\pi\)
\(318\) −99.7429 + 190.759i −0.313657 + 0.599872i
\(319\) −96.0203 + 55.4374i −0.301004 + 0.173785i
\(320\) −347.622 184.342i −1.08632 0.576069i
\(321\) −249.960 489.470i −0.778693 1.52483i
\(322\) 7.64179 5.41948i 0.0237323 0.0168307i
\(323\) 329.981i 1.02161i
\(324\) −323.940 6.23766i −0.999815 0.0192520i
\(325\) 22.8393 0.0702749
\(326\) −165.821 233.818i −0.508655 0.717234i
\(327\) 269.424 137.588i 0.823928 0.420760i
\(328\) 29.6531 30.7406i 0.0904057 0.0937213i
\(329\) −3.28792 5.69484i −0.00999368 0.0173096i
\(330\) 570.746 + 298.428i 1.72953 + 0.904326i
\(331\) −384.104 221.763i −1.16044 0.669978i −0.209027 0.977910i \(-0.567030\pi\)
−0.951408 + 0.307932i \(0.900363\pi\)
\(332\) 231.251 198.822i 0.696541 0.598860i
\(333\) 307.548 424.932i 0.923568 1.27607i
\(334\) 145.024 315.941i 0.434203 0.945931i
\(335\) 195.631 + 112.948i 0.583974 + 0.337158i
\(336\) 21.2112 + 18.8138i 0.0631284 + 0.0559933i
\(337\) −254.239 440.356i −0.754420 1.30669i −0.945662 0.325150i \(-0.894585\pi\)
0.191243 0.981543i \(-0.438748\pi\)
\(338\) 30.8858 + 330.190i 0.0913781 + 0.976893i
\(339\) −45.9436 29.7766i −0.135527 0.0878365i
\(340\) −408.812 + 77.1553i −1.20239 + 0.226927i
\(341\) 557.560 1.63507
\(342\) −351.088 3.37989i −1.02657 0.00988272i
\(343\) 57.6805i 0.168165i
\(344\) −75.6636 + 304.185i −0.219952 + 0.884259i
\(345\) 146.073 + 7.52172i 0.423400 + 0.0218021i
\(346\) −46.8667 501.036i −0.135453 1.44808i
\(347\) −492.773 + 284.503i −1.42010 + 0.819893i −0.996307 0.0858678i \(-0.972634\pi\)
−0.423790 + 0.905761i \(0.639300\pi\)
\(348\) −70.5250 28.8669i −0.202658 0.0829508i
\(349\) −206.901 + 358.363i −0.592840 + 1.02683i 0.401008 + 0.916074i \(0.368660\pi\)
−0.993848 + 0.110754i \(0.964673\pi\)
\(350\) −6.30755 + 13.7413i −0.0180216 + 0.0392609i
\(351\) −44.9341 + 17.3899i −0.128017 + 0.0495438i
\(352\) −467.076 306.586i −1.32692 0.870982i
\(353\) 62.3070 107.919i 0.176507 0.305719i −0.764175 0.645009i \(-0.776853\pi\)
0.940682 + 0.339290i \(0.110187\pi\)
\(354\) 6.05312 + 144.655i 0.0170992 + 0.408630i
\(355\) −467.677 + 270.014i −1.31740 + 0.760602i
\(356\) −36.4942 + 104.140i −0.102512 + 0.292527i
\(357\) 29.9381 + 1.54160i 0.0838601 + 0.00431820i
\(358\) 111.076 + 156.623i 0.310267 + 0.437495i
\(359\) 303.196i 0.844557i −0.906466 0.422278i \(-0.861230\pi\)
0.906466 0.422278i \(-0.138770\pi\)
\(360\) 77.9031 + 435.752i 0.216398 + 1.21042i
\(361\) −19.4752 −0.0539480
\(362\) 536.331 380.361i 1.48158 1.05072i
\(363\) 462.814 + 299.955i 1.27497 + 0.826323i
\(364\) 3.97904 + 1.39440i 0.0109314 + 0.00383076i
\(365\) −184.572 319.688i −0.505677 0.875858i
\(366\) −243.964 384.483i −0.666569 1.05050i
\(367\) 615.571 + 355.400i 1.67730 + 0.968392i 0.963369 + 0.268181i \(0.0864224\pi\)
0.713936 + 0.700211i \(0.246911\pi\)
\(368\) −125.449 19.0273i −0.340894 0.0517045i
\(369\) −47.7965 4.93544i −0.129530 0.0133752i
\(370\) −651.321 298.970i −1.76033 0.808027i
\(371\) −18.3527 10.5959i −0.0494681 0.0285604i
\(372\) 234.555 + 303.041i 0.630525 + 0.814628i
\(373\) 166.740 + 288.803i 0.447025 + 0.774271i 0.998191 0.0601254i \(-0.0191501\pi\)
−0.551166 + 0.834396i \(0.685817\pi\)
\(374\) −588.165 + 55.0167i −1.57263 + 0.147103i
\(375\) 200.422 102.351i 0.534459 0.272935i
\(376\) −21.4982 + 86.4277i −0.0571761 + 0.229861i
\(377\) −11.3323 −0.0300590
\(378\) 1.94685 31.8372i 0.00515039 0.0842255i
\(379\) 662.686i 1.74851i −0.485465 0.874256i \(-0.661350\pi\)
0.485465 0.874256i \(-0.338650\pi\)
\(380\) 88.9618 + 471.369i 0.234110 + 1.24045i
\(381\) 224.289 + 439.202i 0.588686 + 1.15276i
\(382\) −0.809179 + 0.0756903i −0.00211827 + 0.000198142i
\(383\) 69.9008 40.3572i 0.182509 0.105371i −0.405962 0.913890i \(-0.633064\pi\)
0.588471 + 0.808518i \(0.299730\pi\)
\(384\) −29.8570 382.838i −0.0777526 0.996973i
\(385\) −31.7026 + 54.9106i −0.0823445 + 0.142625i
\(386\) 113.505 + 52.1013i 0.294055 + 0.134977i
\(387\) 321.887 144.018i 0.831748 0.372139i
\(388\) −68.1066 79.2155i −0.175533 0.204164i
\(389\) −346.006 + 599.301i −0.889476 + 1.54062i −0.0489809 + 0.998800i \(0.515597\pi\)
−0.840495 + 0.541819i \(0.817736\pi\)
\(390\) 35.2685 + 55.5825i 0.0904320 + 0.142519i
\(391\) −116.183 + 67.0782i −0.297143 + 0.171556i
\(392\) 270.213 280.123i 0.689318 0.714598i
\(393\) 232.529 358.779i 0.591676 0.912924i
\(394\) 339.102 240.488i 0.860665 0.610375i
\(395\) 228.481i 0.578432i
\(396\) 52.5114 + 626.349i 0.132604 + 1.58169i
\(397\) 657.713 1.65671 0.828354 0.560206i \(-0.189278\pi\)
0.828354 + 0.560206i \(0.189278\pi\)
\(398\) 346.081 + 487.995i 0.869550 + 1.22612i
\(399\) 1.77749 34.5192i 0.00445487 0.0865144i
\(400\) 190.692 74.6374i 0.476731 0.186594i
\(401\) 296.433 + 513.437i 0.739235 + 1.28039i 0.952840 + 0.303472i \(0.0981459\pi\)
−0.213606 + 0.976920i \(0.568521\pi\)
\(402\) 9.21693 + 220.263i 0.0229277 + 0.547917i
\(403\) 49.3521 + 28.4935i 0.122462 + 0.0707034i
\(404\) 67.1918 + 78.1515i 0.166316 + 0.193444i
\(405\) 331.869 371.295i 0.819431 0.916777i
\(406\) 3.12963 6.81806i 0.00770846 0.0167933i
\(407\) −881.274 508.804i −2.16529 1.25013i
\(408\) −277.333 296.531i −0.679737 0.726792i
\(409\) −161.594 279.889i −0.395095 0.684325i 0.598018 0.801483i \(-0.295955\pi\)
−0.993113 + 0.117157i \(0.962622\pi\)
\(410\) 6.11405 + 65.3632i 0.0149123 + 0.159422i
\(411\) −0.950872 + 18.4661i −0.00231356 + 0.0449297i
\(412\) −14.5574 77.1333i −0.0353335 0.187217i
\(413\) −14.2533 −0.0345115
\(414\) 70.1787 + 124.301i 0.169514 + 0.300245i
\(415\) 468.745i 1.12951i
\(416\) −25.6753 51.0067i −0.0617195 0.122612i
\(417\) −194.372 + 299.906i −0.466121 + 0.719199i
\(418\) 63.4354 + 678.167i 0.151759 + 1.62241i
\(419\) 222.744 128.601i 0.531608 0.306924i −0.210063 0.977688i \(-0.567367\pi\)
0.741671 + 0.670764i \(0.234033\pi\)
\(420\) −43.1814 + 5.86907i −0.102813 + 0.0139740i
\(421\) 41.9905 72.7297i 0.0997400 0.172755i −0.811837 0.583884i \(-0.801532\pi\)
0.911577 + 0.411129i \(0.134866\pi\)
\(422\) −136.559 + 297.499i −0.323598 + 0.704975i
\(423\) 91.4573 40.9196i 0.216211 0.0967365i
\(424\) 79.2646 + 275.854i 0.186945 + 0.650599i
\(425\) 108.258 187.509i 0.254725 0.441197i
\(426\) −467.032 244.198i −1.09632 0.573236i
\(427\) 38.8221 22.4139i 0.0909182 0.0524917i
\(428\) −691.567 242.349i −1.61581 0.566237i
\(429\) 42.5108 + 83.2442i 0.0990927 + 0.194042i
\(430\) −278.703 392.989i −0.648148 0.913927i
\(431\) 144.348i 0.334914i −0.985879 0.167457i \(-0.946445\pi\)
0.985879 0.167457i \(-0.0535555\pi\)
\(432\) −318.339 + 292.035i −0.736896 + 0.676006i
\(433\) 395.353 0.913057 0.456528 0.889709i \(-0.349093\pi\)
0.456528 + 0.889709i \(0.349093\pi\)
\(434\) −30.7727 + 21.8237i −0.0709049 + 0.0502850i
\(435\) 104.312 53.2697i 0.239798 0.122459i
\(436\) 133.399 380.667i 0.305961 0.873089i
\(437\) 77.3426 + 133.961i 0.176985 + 0.306548i
\(438\) 166.926 319.247i 0.381109 0.728875i
\(439\) 194.776 + 112.454i 0.443682 + 0.256160i 0.705158 0.709050i \(-0.250876\pi\)
−0.261476 + 0.965210i \(0.584209\pi\)
\(440\) 825.346 237.157i 1.87579 0.538994i
\(441\) −435.544 44.9740i −0.987628 0.101982i
\(442\) −54.8727 25.1877i −0.124146 0.0569858i
\(443\) 369.184 + 213.148i 0.833373 + 0.481148i 0.855006 0.518618i \(-0.173553\pi\)
−0.0216335 + 0.999766i \(0.506887\pi\)
\(444\) −94.1943 693.029i −0.212149 1.56088i
\(445\) −84.8041 146.885i −0.190571 0.330079i
\(446\) 760.356 71.1233i 1.70483 0.159469i
\(447\) −520.444 337.306i −1.16430 0.754599i
\(448\) 37.7790 1.36102i 0.0843281 0.00303799i
\(449\) −406.744 −0.905888 −0.452944 0.891539i \(-0.649626\pi\)
−0.452944 + 0.891539i \(0.649626\pi\)
\(450\) −198.393 117.103i −0.440874 0.260229i
\(451\) 93.2163i 0.206688i
\(452\) −71.7324 + 13.5381i −0.158700 + 0.0299515i
\(453\) −440.818 22.6990i −0.973108 0.0501081i
\(454\) −118.526 + 11.0869i −0.261070 + 0.0244204i
\(455\) −5.61228 + 3.24025i −0.0123347 + 0.00712144i
\(456\) −341.907 + 319.771i −0.749796 + 0.701252i
\(457\) −159.600 + 276.435i −0.349234 + 0.604891i −0.986114 0.166072i \(-0.946892\pi\)
0.636879 + 0.770963i \(0.280225\pi\)
\(458\) −234.247 107.524i −0.511457 0.234770i
\(459\) −70.2180 + 451.332i −0.152980 + 0.983294i
\(460\) 147.880 127.142i 0.321479 0.276396i
\(461\) 293.888 509.029i 0.637501 1.10418i −0.348478 0.937317i \(-0.613302\pi\)
0.985979 0.166867i \(-0.0533652\pi\)
\(462\) −61.8242 + 2.58704i −0.133819 + 0.00559966i
\(463\) −230.088 + 132.841i −0.496950 + 0.286914i −0.727453 0.686157i \(-0.759296\pi\)
0.230503 + 0.973072i \(0.425963\pi\)
\(464\) −94.6163 + 37.0330i −0.203914 + 0.0798126i
\(465\) −588.221 30.2892i −1.26499 0.0651380i
\(466\) −24.4608 + 17.3474i −0.0524910 + 0.0372261i
\(467\) 794.598i 1.70149i 0.525575 + 0.850747i \(0.323850\pi\)
−0.525575 + 0.850747i \(0.676150\pi\)
\(468\) −27.3609 + 58.1246i −0.0584634 + 0.124198i
\(469\) −21.7031 −0.0462752
\(470\) −79.1877 111.659i −0.168484 0.237573i
\(471\) 158.298 + 102.595i 0.336089 + 0.217823i
\(472\) 138.937 + 134.022i 0.294358 + 0.283944i
\(473\) −342.050 592.447i −0.723149 1.25253i
\(474\) 188.275 119.465i 0.397204 0.252036i
\(475\) −216.201 124.824i −0.455161 0.262787i
\(476\) 30.3084 26.0581i 0.0636732 0.0547439i
\(477\) 189.315 261.572i 0.396886 0.548369i
\(478\) −303.711 + 661.649i −0.635378 + 1.38420i
\(479\) 572.964 + 330.801i 1.19617 + 0.690607i 0.959698 0.281033i \(-0.0906769\pi\)
0.236468 + 0.971639i \(0.424010\pi\)
\(480\) 476.107 + 348.819i 0.991889 + 0.726707i
\(481\) −52.0037 90.0730i −0.108116 0.187262i
\(482\) −15.0963 161.390i −0.0313202 0.334833i
\(483\) −12.5152 + 6.39120i −0.0259114 + 0.0132323i
\(484\) 722.599 136.376i 1.49297 0.281769i
\(485\) 160.569 0.331071
\(486\) 479.481 + 79.3322i 0.986587 + 0.163235i
\(487\) 57.1525i 0.117356i 0.998277 + 0.0586781i \(0.0186886\pi\)
−0.998277 + 0.0586781i \(0.981311\pi\)
\(488\) −589.183 146.554i −1.20734 0.300317i
\(489\) 195.553 + 382.931i 0.399905 + 0.783090i
\(490\) 55.7140 + 595.620i 0.113702 + 1.21555i
\(491\) −48.6600 + 28.0939i −0.0991040 + 0.0572177i −0.548733 0.835998i \(-0.684890\pi\)
0.449629 + 0.893215i \(0.351556\pi\)
\(492\) −50.6644 + 39.2144i −0.102976 + 0.0797041i
\(493\) −53.7147 + 93.0366i −0.108955 + 0.188715i
\(494\) −29.0420 + 63.2694i −0.0587895 + 0.128076i
\(495\) −782.615 566.424i −1.58104 1.14429i
\(496\) 505.170 + 76.6208i 1.01849 + 0.154477i
\(497\) 25.9417 44.9324i 0.0521967 0.0904073i
\(498\) −386.260 + 245.091i −0.775622 + 0.492152i
\(499\) −522.225 + 301.507i −1.04654 + 0.604222i −0.921679 0.387952i \(-0.873183\pi\)
−0.124863 + 0.992174i \(0.539849\pi\)
\(500\) 99.2341 283.174i 0.198468 0.566348i
\(501\) −283.605 + 437.587i −0.566077 + 0.873427i
\(502\) −326.129 459.861i −0.649659 0.916058i
\(503\) 549.354i 1.09216i −0.837734 0.546078i \(-0.816120\pi\)
0.837734 0.546078i \(-0.183880\pi\)
\(504\) −27.4144 32.5140i −0.0543937 0.0645119i
\(505\) −158.413 −0.313688
\(506\) 225.880 160.192i 0.446404 0.316585i
\(507\) 25.5810 496.788i 0.0504557 0.979859i
\(508\) 620.543 + 217.460i 1.22154 + 0.428071i
\(509\) −119.464 206.918i −0.234704 0.406519i 0.724483 0.689293i \(-0.242079\pi\)
−0.959187 + 0.282774i \(0.908745\pi\)
\(510\) 623.498 26.0904i 1.22255 0.0511577i
\(511\) 30.7143 + 17.7329i 0.0601062 + 0.0347023i
\(512\) −381.057 341.964i −0.744252 0.667899i
\(513\) 520.395 + 80.9629i 1.01442 + 0.157822i
\(514\) 136.893 + 62.8366i 0.266328 + 0.122250i
\(515\) 104.484 + 60.3240i 0.202882 + 0.117134i
\(516\) 178.109 435.141i 0.345173 0.843296i
\(517\) −97.1862 168.331i −0.187981 0.325593i
\(518\) 68.5544 6.41255i 0.132344 0.0123794i
\(519\) −38.8171 + 753.836i −0.0747922 + 1.45248i
\(520\) 85.1748 + 21.1865i 0.163798 + 0.0407433i
\(521\) −567.711 −1.08966 −0.544828 0.838548i \(-0.683405\pi\)
−0.544828 + 0.838548i \(0.683405\pi\)
\(522\) 98.4373 + 58.1034i 0.188577 + 0.111309i
\(523\) 941.999i 1.80114i −0.434706 0.900572i \(-0.643148\pi\)
0.434706 0.900572i \(-0.356852\pi\)
\(524\) −105.721 560.167i −0.201757 1.06902i
\(525\) 12.3349 19.0321i 0.0234950 0.0362516i
\(526\) −243.536 + 22.7802i −0.462996 + 0.0433084i
\(527\) 467.856 270.117i 0.887773 0.512556i
\(528\) 626.971 + 556.108i 1.18745 + 1.05323i
\(529\) −233.056 + 403.664i −0.440559 + 0.763071i
\(530\) −400.928 184.034i −0.756468 0.347235i
\(531\) 22.3065 216.024i 0.0420085 0.406825i
\(532\) −30.0456 34.9463i −0.0564766 0.0656885i
\(533\) −4.76372 + 8.25100i −0.00893755 + 0.0154803i
\(534\) 76.6963 146.682i 0.143626 0.274686i
\(535\) 975.428 563.163i 1.82323 1.05264i
\(536\) 211.556 + 204.072i 0.394694 + 0.380730i
\(537\) −130.991 256.506i −0.243932 0.477665i
\(538\) −457.527 + 324.473i −0.850422 + 0.603110i
\(539\) 849.430i 1.57594i
\(540\) −21.3729 663.647i −0.0395795 1.22898i
\(541\) −242.245 −0.447772 −0.223886 0.974615i \(-0.571874\pi\)
−0.223886 + 0.974615i \(0.571874\pi\)
\(542\) 94.2311 + 132.871i 0.173858 + 0.245150i
\(543\) −878.366 + 448.560i −1.61762 + 0.826077i
\(544\) −540.460 30.9794i −0.993492 0.0569475i
\(545\) 309.988 + 536.915i 0.568786 + 0.985166i
\(546\) −5.60454 2.93046i −0.0102647 0.00536715i
\(547\) 170.503 + 98.4402i 0.311706 + 0.179964i 0.647690 0.761904i \(-0.275735\pi\)
−0.335983 + 0.941868i \(0.609069\pi\)
\(548\) 16.0729 + 18.6945i 0.0293301 + 0.0341141i
\(549\) 278.951 + 623.470i 0.508107 + 1.13565i
\(550\) −186.442 + 406.173i −0.338986 + 0.738497i
\(551\) 107.273 + 61.9342i 0.194688 + 0.112403i
\(552\) 182.090 + 55.3792i 0.329874 + 0.100325i
\(553\) 10.9757 + 19.0105i 0.0198476 + 0.0343770i
\(554\) 83.7681 + 895.536i 0.151206 + 1.61649i
\(555\) 902.096 + 584.659i 1.62540 + 1.05344i
\(556\) 88.3725 + 468.247i 0.158943 + 0.842171i
\(557\) 958.121 1.72015 0.860073 0.510171i \(-0.170418\pi\)
0.860073 + 0.510171i \(0.170418\pi\)
\(558\) −282.603 500.549i −0.506456 0.897041i
\(559\) 69.9202i 0.125081i
\(560\) −36.2697 + 45.3944i −0.0647672 + 0.0810614i
\(561\) 884.926 + 45.5674i 1.57741 + 0.0812253i
\(562\) −14.1059 150.801i −0.0250994 0.268329i
\(563\) −165.774 + 95.7097i −0.294448 + 0.169999i −0.639946 0.768420i \(-0.721043\pi\)
0.345498 + 0.938419i \(0.387710\pi\)
\(564\) 50.6060 123.636i 0.0897269 0.219213i
\(565\) 56.1001 97.1682i 0.0992922 0.171979i
\(566\) −310.279 + 675.957i −0.548196 + 1.19427i
\(567\) −9.77666 + 46.8355i −0.0172428 + 0.0826023i
\(568\) −675.368 + 194.062i −1.18903 + 0.341658i
\(569\) 228.215 395.280i 0.401081 0.694693i −0.592775 0.805368i \(-0.701968\pi\)
0.993857 + 0.110675i \(0.0353012\pi\)
\(570\) −30.0828 718.907i −0.0527768 1.26124i
\(571\) 842.764 486.570i 1.47594 0.852136i 0.476312 0.879276i \(-0.341973\pi\)
0.999632 + 0.0271399i \(0.00863995\pi\)
\(572\) 117.615 + 41.2164i 0.205620 + 0.0720566i
\(573\) 1.21745 + 0.0626902i 0.00212470 + 0.000109407i
\(574\) −3.64862 5.14477i −0.00635648 0.00896302i
\(575\) 101.496i 0.176515i
\(576\) −38.4967 + 574.712i −0.0668346 + 0.997764i
\(577\) 138.527 0.240081 0.120040 0.992769i \(-0.461698\pi\)
0.120040 + 0.992769i \(0.461698\pi\)
\(578\) 4.58740 3.25334i 0.00793668 0.00562861i
\(579\) −157.208 101.888i −0.271516 0.175972i
\(580\) 51.6477 147.382i 0.0890478 0.254106i
\(581\) −22.5175 39.0015i −0.0387565 0.0671282i
\(582\) 83.9565 + 132.314i 0.144255 + 0.227343i
\(583\) −542.478 313.200i −0.930494 0.537221i
\(584\) −132.654 461.658i −0.227147 0.790510i
\(585\) −40.3263 90.1314i −0.0689339 0.154071i
\(586\) 241.365 + 110.792i 0.411886 + 0.189064i
\(587\) −620.808 358.424i −1.05759 0.610602i −0.132829 0.991139i \(-0.542406\pi\)
−0.924766 + 0.380537i \(0.875739\pi\)
\(588\) −461.677 + 357.340i −0.785165 + 0.607721i
\(589\) −311.451 539.449i −0.528779 0.915872i
\(590\) −295.419 + 27.6334i −0.500711 + 0.0468363i
\(591\) −555.358 + 283.607i −0.939691 + 0.479877i
\(592\) −728.546 582.101i −1.23065 0.983279i
\(593\) 542.129 0.914214 0.457107 0.889412i \(-0.348886\pi\)
0.457107 + 0.889412i \(0.348886\pi\)
\(594\) 57.5460 941.062i 0.0968788 1.58428i
\(595\) 61.4350i 0.103252i
\(596\) −812.577 + 153.358i −1.36338 + 0.257312i
\(597\) −408.134 799.204i −0.683641 1.33870i
\(598\) 28.1801 2.63596i 0.0471240 0.00440796i
\(599\) 245.527 141.755i 0.409895 0.236653i −0.280850 0.959752i \(-0.590616\pi\)
0.690744 + 0.723099i \(0.257283\pi\)
\(600\) −299.194 + 69.5359i −0.498656 + 0.115893i
\(601\) 377.424 653.717i 0.627993 1.08772i −0.359961 0.932967i \(-0.617210\pi\)
0.987954 0.154748i \(-0.0494567\pi\)
\(602\) 42.0676 + 19.3099i 0.0698797 + 0.0320763i
\(603\) 33.9656 328.934i 0.0563276 0.545496i
\(604\) −446.272 + 383.688i −0.738860 + 0.635245i
\(605\) −565.126 + 978.827i −0.934093 + 1.61790i
\(606\) −82.8288 130.537i −0.136681 0.215407i
\(607\) −77.2227 + 44.5845i −0.127220 + 0.0734506i −0.562260 0.826961i \(-0.690068\pi\)
0.435039 + 0.900411i \(0.356734\pi\)
\(608\) −35.7200 + 623.162i −0.0587499 + 1.02494i
\(609\) −6.12024 + 9.44320i −0.0100497 + 0.0155061i
\(610\) 761.189 539.827i 1.24785 0.884962i
\(611\) 19.8664i 0.0325145i
\(612\) 347.506 + 500.139i 0.567821 + 0.817221i
\(613\) −316.779 −0.516769 −0.258385 0.966042i \(-0.583190\pi\)
−0.258385 + 0.966042i \(0.583190\pi\)
\(614\) −389.335 548.985i −0.634096 0.894113i
\(615\) 5.06393 98.3425i 0.00823404 0.159907i
\(616\) −57.2796 + 59.3803i −0.0929863 + 0.0963966i
\(617\) 534.934 + 926.533i 0.866992 + 1.50167i 0.865056 + 0.501675i \(0.167283\pi\)
0.00193565 + 0.999998i \(0.499384\pi\)
\(618\) 4.92265 + 117.640i 0.00796545 + 0.190355i
\(619\) −578.542 334.021i −0.934640 0.539615i −0.0463638 0.998925i \(-0.514763\pi\)
−0.888276 + 0.459310i \(0.848097\pi\)
\(620\) −595.498 + 511.988i −0.960481 + 0.825787i
\(621\) −77.2793 199.684i −0.124443 0.321552i
\(622\) 293.077 638.483i 0.471185 1.02650i
\(623\) 14.1121 + 8.14762i 0.0226518 + 0.0130780i
\(624\) 27.0768 + 81.2643i 0.0433923 + 0.130231i
\(625\) 390.580 + 676.505i 0.624929 + 1.08241i
\(626\) −35.5507 380.060i −0.0567902 0.607125i
\(627\) 52.5402 1020.34i 0.0837961 1.62734i
\(628\) 247.153 46.6452i 0.393555 0.0742759i
\(629\) −985.986 −1.56755
\(630\) 65.3646 + 0.629259i 0.103753 + 0.000998824i
\(631\) 150.631i 0.238718i 0.992851 + 0.119359i \(0.0380839\pi\)
−0.992851 + 0.119359i \(0.961916\pi\)
\(632\) 71.7652 288.513i 0.113553 0.456507i
\(633\) 267.051 412.045i 0.421881 0.650939i
\(634\) −75.5484 807.662i −0.119162 1.27392i
\(635\) −875.252 + 505.327i −1.37835 + 0.795790i
\(636\) −57.9824 426.602i −0.0911672 0.670758i
\(637\) −43.4092 + 75.1869i −0.0681463 + 0.118033i
\(638\) 92.5075 201.532i 0.144996 0.315881i
\(639\) 640.401 + 463.496i 1.00219 + 0.725345i
\(640\) 780.385 101.453i 1.21935 0.158520i
\(641\) 351.521 608.852i 0.548395 0.949847i −0.449990 0.893034i \(-0.648573\pi\)
0.998385 0.0568139i \(-0.0180942\pi\)
\(642\) 974.082 + 509.321i 1.51726 + 0.793335i
\(643\) −742.057 + 428.427i −1.15405 + 0.666293i −0.949872 0.312639i \(-0.898787\pi\)
−0.204182 + 0.978933i \(0.565454\pi\)
\(644\) −6.19659 + 17.6826i −0.00962204 + 0.0274574i
\(645\) 328.675 + 643.609i 0.509574 + 0.997844i
\(646\) 381.776 + 538.328i 0.590985 + 0.833324i
\(647\) 156.257i 0.241510i 0.992682 + 0.120755i \(0.0385316\pi\)
−0.992682 + 0.120755i \(0.961468\pi\)
\(648\) 535.689 364.611i 0.826681 0.562671i
\(649\) −421.306 −0.649162
\(650\) −37.2599 + 26.4243i −0.0573229 + 0.0406528i
\(651\) 50.3974 25.7367i 0.0774154 0.0395341i
\(652\) 541.039 + 189.599i 0.829814 + 0.290796i
\(653\) −441.773 765.173i −0.676528 1.17178i −0.976020 0.217682i \(-0.930151\pi\)
0.299492 0.954099i \(-0.403183\pi\)
\(654\) −280.351 + 536.175i −0.428672 + 0.819840i
\(655\) 758.798 + 438.092i 1.15847 + 0.668843i
\(656\) −12.8099 + 84.4574i −0.0195273 + 0.128746i
\(657\) −316.830 + 437.756i −0.482237 + 0.666296i
\(658\) 11.9526 + 5.48650i 0.0181651 + 0.00833815i
\(659\) 379.533 + 219.123i 0.575922 + 0.332509i 0.759511 0.650494i \(-0.225438\pi\)
−0.183589 + 0.983003i \(0.558772\pi\)
\(660\) −1276.38 + 173.481i −1.93391 + 0.262851i
\(661\) 233.924 + 405.168i 0.353894 + 0.612963i 0.986928 0.161161i \(-0.0515239\pi\)
−0.633034 + 0.774124i \(0.718191\pi\)
\(662\) 883.195 82.6137i 1.33413 0.124794i
\(663\) 76.0002 + 49.2565i 0.114631 + 0.0742934i
\(664\) −147.232 + 591.905i −0.221734 + 0.891424i
\(665\) 70.8359 0.106520
\(666\) −10.0991 + 1049.05i −0.0151639 + 1.57515i
\(667\) 50.3597i 0.0755018i
\(668\) 128.943 + 683.210i 0.193028 + 1.02277i
\(669\) −1144.00 58.9076i −1.71001 0.0880533i
\(670\) −449.827 + 42.0767i −0.671384 + 0.0628010i
\(671\) 1147.52 662.524i 1.71017 0.987368i
\(672\) −56.3705 6.15202i −0.0838847 0.00915480i
\(673\) 273.302 473.372i 0.406094 0.703376i −0.588354 0.808604i \(-0.700224\pi\)
0.994448 + 0.105227i \(0.0335571\pi\)
\(674\) 924.240 + 424.246i 1.37128 + 0.629444i
\(675\) 269.148 + 216.734i 0.398738 + 0.321088i
\(676\) −432.405 502.934i −0.639652 0.743986i
\(677\) 227.606 394.225i 0.336198 0.582312i −0.647516 0.762052i \(-0.724192\pi\)
0.983714 + 0.179740i \(0.0575255\pi\)
\(678\) 109.402 4.57796i 0.161360 0.00675216i
\(679\) −13.3600 + 7.71341i −0.0196760 + 0.0113600i
\(680\) 577.666 598.852i 0.849509 0.880664i
\(681\) 178.329 + 9.18264i 0.261863 + 0.0134841i
\(682\) −909.597 + 645.077i −1.33372 + 0.945861i
\(683\) 123.214i 0.180400i 0.995924 + 0.0902002i \(0.0287507\pi\)
−0.995924 + 0.0902002i \(0.971249\pi\)
\(684\) 576.671 400.682i 0.843087 0.585793i
\(685\) −37.8937 −0.0553193
\(686\) −66.7343 94.0994i −0.0972803 0.137171i
\(687\) 324.439 + 210.272i 0.472254 + 0.306073i
\(688\) −228.495 583.784i −0.332114 0.848524i
\(689\) −32.0115 55.4455i −0.0464607 0.0804724i
\(690\) −247.004 + 156.731i −0.357977 + 0.227146i
\(691\) 163.326 + 94.2965i 0.236362 + 0.136464i 0.613504 0.789692i \(-0.289760\pi\)
−0.377141 + 0.926156i \(0.623093\pi\)
\(692\) 656.139 + 763.162i 0.948177 + 1.10283i
\(693\) 92.3265 + 9.53359i 0.133227 + 0.0137570i
\(694\) 474.746 1034.26i 0.684071 1.49028i
\(695\) −634.285 366.204i −0.912640 0.526913i
\(696\) 148.452 34.5018i 0.213293 0.0495716i
\(697\) 45.1599 + 78.2192i 0.0647918 + 0.112223i
\(698\) −77.0773 824.007i −0.110426 1.18053i
\(699\) 40.0602 20.4578i 0.0573107 0.0292672i
\(700\) −5.60814 29.7150i −0.00801162 0.0424501i
\(701\) −810.064 −1.15558 −0.577792 0.816184i \(-0.696085\pi\)
−0.577792 + 0.816184i \(0.696085\pi\)
\(702\) 53.1856 80.3569i 0.0757630 0.114468i
\(703\) 1136.86i 1.61716i
\(704\) 1116.69 40.2298i 1.58621 0.0571447i
\(705\) 93.3861 + 182.868i 0.132463 + 0.259387i
\(706\) 23.2114 + 248.145i 0.0328773 + 0.351480i
\(707\) 13.1806 7.60980i 0.0186429 0.0107635i
\(708\) −177.236 228.986i −0.250333 0.323426i
\(709\) −651.819 + 1128.98i −0.919349 + 1.59236i −0.118944 + 0.992901i \(0.537951\pi\)
−0.800406 + 0.599459i \(0.795382\pi\)
\(710\) 450.568 981.583i 0.634602 1.38251i
\(711\) −305.302 + 136.597i −0.429398 + 0.192120i
\(712\) −60.9497 212.115i −0.0856035 0.297914i
\(713\) −126.623 + 219.317i −0.177592 + 0.307598i
\(714\) −50.6242 + 32.1224i −0.0709023 + 0.0449893i
\(715\) −165.891 + 95.7772i −0.232015 + 0.133954i
\(716\) −362.415 127.003i −0.506166 0.177378i
\(717\) 593.930 916.401i 0.828354 1.27810i
\(718\) 350.787 + 494.631i 0.488561 + 0.688901i
\(719\) 788.981i 1.09733i −0.836042 0.548666i \(-0.815136\pi\)
0.836042 0.548666i \(-0.184864\pi\)
\(720\) −631.239 620.749i −0.876722 0.862152i
\(721\) −11.5913 −0.0160768
\(722\) 31.7717 22.5321i 0.0440051 0.0312080i
\(723\) −12.5035 + 242.820i −0.0172939 + 0.335850i
\(724\) −434.902 + 1241.03i −0.600693 + 1.71413i
\(725\) 40.6380 + 70.3870i 0.0560524 + 0.0970856i
\(726\) −1102.07 + 46.1163i −1.51800 + 0.0635210i
\(727\) 232.676 + 134.335i 0.320049 + 0.184780i 0.651414 0.758722i \(-0.274176\pi\)
−0.331365 + 0.943502i \(0.607509\pi\)
\(728\) −8.10464 + 2.32881i −0.0111327 + 0.00319891i
\(729\) −694.543 221.474i −0.952734 0.303805i
\(730\) 670.977 + 307.992i 0.919146 + 0.421907i
\(731\) −574.038 331.421i −0.785277 0.453380i
\(732\) 842.834 + 344.984i 1.15141 + 0.471289i
\(733\) −36.8343 63.7989i −0.0502514 0.0870380i 0.839806 0.542887i \(-0.182669\pi\)
−0.890057 + 0.455849i \(0.849336\pi\)
\(734\) −1415.42 + 132.398i −1.92837 + 0.180379i
\(735\) 46.1449 896.143i 0.0627822 1.21924i
\(736\) 226.670 114.099i 0.307975 0.155026i
\(737\) −641.512 −0.870437
\(738\) 83.6849 47.2473i 0.113394 0.0640207i
\(739\) 448.249i 0.606562i 0.952901 + 0.303281i \(0.0980820\pi\)
−0.952901 + 0.303281i \(0.901918\pi\)
\(740\) 1408.46 265.818i 1.90332 0.359214i
\(741\) 56.7939 87.6298i 0.0766449 0.118259i
\(742\) 42.1994 3.94732i 0.0568725 0.00531983i
\(743\) −656.602 + 379.089i −0.883718 + 0.510215i −0.871882 0.489715i \(-0.837101\pi\)
−0.0118352 + 0.999930i \(0.503767\pi\)
\(744\) −733.260 223.006i −0.985564 0.299740i
\(745\) 635.496 1100.71i 0.853015 1.47746i
\(746\) −606.153 278.237i −0.812538 0.372972i
\(747\) 626.350 280.240i 0.838488 0.375154i
\(748\) 895.874 770.240i 1.19769 1.02973i
\(749\) −54.1063 + 93.7149i −0.0722381 + 0.125120i
\(750\) −208.550 + 398.855i −0.278067 + 0.531807i
\(751\) −1141.58 + 659.091i −1.52008 + 0.877618i −0.520358 + 0.853948i \(0.674202\pi\)
−0.999720 + 0.0236697i \(0.992465\pi\)
\(752\) −64.9219 165.870i −0.0863323 0.220572i
\(753\) 384.604 + 753.128i 0.510762 + 1.00017i
\(754\) 18.4873 13.1110i 0.0245190 0.0173886i
\(755\) 904.589i 1.19813i
\(756\) 33.6585 + 54.1913i 0.0445218 + 0.0716817i
\(757\) 587.874 0.776583 0.388292 0.921537i \(-0.373065\pi\)
0.388292 + 0.921537i \(0.373065\pi\)
\(758\) 766.705 + 1081.10i 1.01148 + 1.42625i
\(759\) −369.931 + 188.915i −0.487393 + 0.248899i
\(760\) −690.489 666.062i −0.908538 0.876397i
\(761\) −188.496 326.485i −0.247695 0.429021i 0.715191 0.698929i \(-0.246340\pi\)
−0.962886 + 0.269908i \(0.913007\pi\)
\(762\) −874.044 457.014i −1.14704 0.599756i
\(763\) −51.5845 29.7823i −0.0676075 0.0390332i
\(764\) 1.23252 1.05967i 0.00161324 0.00138701i
\(765\) −931.115 96.1465i −1.21714 0.125682i
\(766\) −67.3435 + 146.711i −0.0879158 + 0.191529i
\(767\) −37.2917 21.5304i −0.0486202 0.0280709i
\(768\) 491.638 + 590.014i 0.640154 + 0.768247i