Properties

Label 770.2.bd.a.527.9
Level $770$
Weight $2$
Character 770.527
Analytic conductor $6.148$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.bd (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(48\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 527.9
Character \(\chi\) \(=\) 770.527
Dual form 770.2.bd.a.263.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.258819 - 0.965926i) q^{2} +(-0.886001 - 0.237403i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(-1.83005 - 1.28488i) q^{5} +0.917256i q^{6} +(2.44857 + 1.00226i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-1.86944 - 1.07932i) q^{9} +O(q^{10})\) \(q+(-0.258819 - 0.965926i) q^{2} +(-0.886001 - 0.237403i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(-1.83005 - 1.28488i) q^{5} +0.917256i q^{6} +(2.44857 + 1.00226i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-1.86944 - 1.07932i) q^{9} +(-0.767449 + 2.10024i) q^{10} +(1.44099 + 2.98723i) q^{11} +(0.886001 - 0.237403i) q^{12} +(-2.12323 - 2.12323i) q^{13} +(0.334373 - 2.62454i) q^{14} +(1.31639 + 1.57287i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-5.54661 - 1.48621i) q^{17} +(-0.558697 + 2.08509i) q^{18} +(-1.63705 + 2.83546i) q^{19} +(2.22731 + 0.197716i) q^{20} +(-1.93149 - 1.46930i) q^{21} +(2.51249 - 2.16504i) q^{22} +(1.48880 + 5.55626i) q^{23} +(-0.458628 - 0.794367i) q^{24} +(1.69816 + 4.70279i) q^{25} +(-1.50135 + 2.60042i) q^{26} +(3.34588 + 3.34588i) q^{27} +(-2.62165 + 0.356300i) q^{28} -1.08921 q^{29} +(1.17857 - 1.67862i) q^{30} +(0.726592 + 1.25849i) q^{31} +(-0.965926 - 0.258819i) q^{32} +(-0.567539 - 2.98879i) q^{33} +5.74228i q^{34} +(-3.19321 - 4.98030i) q^{35} +2.15864 q^{36} +(5.52706 - 1.48097i) q^{37} +(3.16254 + 0.847401i) q^{38} +(1.37712 + 2.38525i) q^{39} +(-0.385491 - 2.20259i) q^{40} +9.05144i q^{41} +(-0.919329 + 2.24596i) q^{42} +(4.48914 + 4.48914i) q^{43} +(-2.74155 - 1.86652i) q^{44} +(2.03436 + 4.37722i) q^{45} +(4.98161 - 2.87613i) q^{46} +(10.7095 - 2.86959i) q^{47} +(-0.648598 + 0.648598i) q^{48} +(4.99095 + 4.90820i) q^{49} +(4.10303 - 2.85747i) q^{50} +(4.56148 + 2.63357i) q^{51} +(2.90039 + 0.777156i) q^{52} +(-4.26434 - 1.14263i) q^{53} +(2.36590 - 4.09786i) q^{54} +(1.20116 - 7.31828i) q^{55} +(1.02269 + 2.44010i) q^{56} +(2.12358 - 2.12358i) q^{57} +(0.281907 + 1.05209i) q^{58} +(-5.17478 + 2.98766i) q^{59} +(-1.92646 - 0.703948i) q^{60} +(0.666489 + 0.384798i) q^{61} +(1.02756 - 1.02756i) q^{62} +(-3.49568 - 4.51645i) q^{63} +1.00000i q^{64} +(1.15751 + 6.61372i) q^{65} +(-2.74006 + 1.32176i) q^{66} +(-3.31614 + 12.3760i) q^{67} +(5.54661 - 1.48621i) q^{68} -5.27630i q^{69} +(-3.98414 + 4.37340i) q^{70} -8.83561 q^{71} +(-0.558697 - 2.08509i) q^{72} +(1.38004 - 5.15037i) q^{73} +(-2.86102 - 4.95543i) q^{74} +(-0.388110 - 4.56983i) q^{75} -3.27410i q^{76} +(0.534374 + 8.75868i) q^{77} +(1.94755 - 1.94755i) q^{78} +(-4.54539 + 7.87284i) q^{79} +(-2.02776 + 0.942428i) q^{80} +(1.06783 + 1.84953i) q^{81} +(8.74302 - 2.34269i) q^{82} +(-9.94541 - 9.94541i) q^{83} +(2.40737 + 0.306706i) q^{84} +(8.24097 + 9.84658i) q^{85} +(3.17430 - 5.49805i) q^{86} +(0.965039 + 0.258581i) q^{87} +(-1.09336 + 3.13122i) q^{88} +(-1.27069 - 0.733635i) q^{89} +(3.70153 - 3.09795i) q^{90} +(-3.07084 - 7.32690i) q^{91} +(-4.06746 - 4.06746i) q^{92} +(-0.344991 - 1.28752i) q^{93} +(-5.54363 - 9.60185i) q^{94} +(6.63911 - 3.08561i) q^{95} +(0.794367 + 0.458628i) q^{96} +(7.76343 + 7.76343i) q^{97} +(3.44920 - 6.09122i) q^{98} +(0.530341 - 7.13973i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q + 8 q^{5}+O(q^{10}) \) Copy content Toggle raw display \( 192 q + 8 q^{5} + 4 q^{11} + 16 q^{15} + 96 q^{16} + 24 q^{22} - 8 q^{23} + 24 q^{25} - 8 q^{26} - 16 q^{33} - 160 q^{36} - 40 q^{37} - 40 q^{42} + 32 q^{45} - 40 q^{47} + 40 q^{53} + 8 q^{55} + 16 q^{56} + 32 q^{58} - 48 q^{67} - 72 q^{70} + 32 q^{71} - 48 q^{75} - 72 q^{77} - 8 q^{80} + 64 q^{81} + 16 q^{82} - 12 q^{88} - 112 q^{91} - 16 q^{92} + 80 q^{93} - 64 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.258819 0.965926i −0.183013 0.683013i
\(3\) −0.886001 0.237403i −0.511533 0.137065i −0.00618575 0.999981i \(-0.501969\pi\)
−0.505347 + 0.862916i \(0.668636\pi\)
\(4\) −0.866025 + 0.500000i −0.433013 + 0.250000i
\(5\) −1.83005 1.28488i −0.818423 0.574617i
\(6\) 0.917256i 0.374468i
\(7\) 2.44857 + 1.00226i 0.925471 + 0.378819i
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) −1.86944 1.07932i −0.623146 0.359773i
\(10\) −0.767449 + 2.10024i −0.242689 + 0.664155i
\(11\) 1.44099 + 2.98723i 0.434474 + 0.900684i
\(12\) 0.886001 0.237403i 0.255767 0.0685325i
\(13\) −2.12323 2.12323i −0.588878 0.588878i 0.348449 0.937328i \(-0.386708\pi\)
−0.937328 + 0.348449i \(0.886708\pi\)
\(14\) 0.334373 2.62454i 0.0893650 0.701437i
\(15\) 1.31639 + 1.57287i 0.339891 + 0.406113i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −5.54661 1.48621i −1.34525 0.360459i −0.486872 0.873474i \(-0.661862\pi\)
−0.858380 + 0.513015i \(0.828529\pi\)
\(18\) −0.558697 + 2.08509i −0.131686 + 0.491460i
\(19\) −1.63705 + 2.83546i −0.375566 + 0.650499i −0.990412 0.138149i \(-0.955885\pi\)
0.614846 + 0.788647i \(0.289218\pi\)
\(20\) 2.22731 + 0.197716i 0.498042 + 0.0442107i
\(21\) −1.93149 1.46930i −0.421486 0.320628i
\(22\) 2.51249 2.16504i 0.535664 0.461588i
\(23\) 1.48880 + 5.55626i 0.310435 + 1.15856i 0.928165 + 0.372170i \(0.121386\pi\)
−0.617730 + 0.786391i \(0.711947\pi\)
\(24\) −0.458628 0.794367i −0.0936171 0.162150i
\(25\) 1.69816 + 4.70279i 0.339631 + 0.940559i
\(26\) −1.50135 + 2.60042i −0.294439 + 0.509983i
\(27\) 3.34588 + 3.34588i 0.643916 + 0.643916i
\(28\) −2.62165 + 0.356300i −0.495445 + 0.0673344i
\(29\) −1.08921 −0.202261 −0.101130 0.994873i \(-0.532246\pi\)
−0.101130 + 0.994873i \(0.532246\pi\)
\(30\) 1.17857 1.67862i 0.215176 0.306473i
\(31\) 0.726592 + 1.25849i 0.130500 + 0.226032i 0.923869 0.382708i \(-0.125008\pi\)
−0.793370 + 0.608740i \(0.791675\pi\)
\(32\) −0.965926 0.258819i −0.170753 0.0457532i
\(33\) −0.567539 2.98879i −0.0987959 0.520281i
\(34\) 5.74228i 0.984792i
\(35\) −3.19321 4.98030i −0.539751 0.841825i
\(36\) 2.15864 0.359773
\(37\) 5.52706 1.48097i 0.908643 0.243470i 0.225919 0.974146i \(-0.427462\pi\)
0.682725 + 0.730676i \(0.260795\pi\)
\(38\) 3.16254 + 0.847401i 0.513032 + 0.137467i
\(39\) 1.37712 + 2.38525i 0.220516 + 0.381945i
\(40\) −0.385491 2.20259i −0.0609515 0.348260i
\(41\) 9.05144i 1.41360i 0.707415 + 0.706799i \(0.249861\pi\)
−0.707415 + 0.706799i \(0.750139\pi\)
\(42\) −0.919329 + 2.24596i −0.141856 + 0.346560i
\(43\) 4.48914 + 4.48914i 0.684587 + 0.684587i 0.961030 0.276443i \(-0.0891558\pi\)
−0.276443 + 0.961030i \(0.589156\pi\)
\(44\) −2.74155 1.86652i −0.413304 0.281389i
\(45\) 2.03436 + 4.37722i 0.303265 + 0.652517i
\(46\) 4.98161 2.87613i 0.734498 0.424062i
\(47\) 10.7095 2.86959i 1.56214 0.418573i 0.628798 0.777569i \(-0.283547\pi\)
0.933339 + 0.358996i \(0.116881\pi\)
\(48\) −0.648598 + 0.648598i −0.0936171 + 0.0936171i
\(49\) 4.99095 + 4.90820i 0.712993 + 0.701171i
\(50\) 4.10303 2.85747i 0.580257 0.404107i
\(51\) 4.56148 + 2.63357i 0.638735 + 0.368774i
\(52\) 2.90039 + 0.777156i 0.402211 + 0.107772i
\(53\) −4.26434 1.14263i −0.585752 0.156952i −0.0462411 0.998930i \(-0.514724\pi\)
−0.539511 + 0.841978i \(0.681391\pi\)
\(54\) 2.36590 4.09786i 0.321958 0.557647i
\(55\) 1.20116 7.31828i 0.161964 0.986797i
\(56\) 1.02269 + 2.44010i 0.136663 + 0.326072i
\(57\) 2.12358 2.12358i 0.281275 0.281275i
\(58\) 0.281907 + 1.05209i 0.0370163 + 0.138147i
\(59\) −5.17478 + 2.98766i −0.673699 + 0.388960i −0.797477 0.603350i \(-0.793832\pi\)
0.123778 + 0.992310i \(0.460499\pi\)
\(60\) −1.92646 0.703948i −0.248705 0.0908793i
\(61\) 0.666489 + 0.384798i 0.0853352 + 0.0492683i 0.542060 0.840340i \(-0.317644\pi\)
−0.456725 + 0.889608i \(0.650978\pi\)
\(62\) 1.02756 1.02756i 0.130500 0.130500i
\(63\) −3.49568 4.51645i −0.440415 0.569019i
\(64\) 1.00000i 0.125000i
\(65\) 1.15751 + 6.61372i 0.143572 + 0.820330i
\(66\) −2.74006 + 1.32176i −0.337278 + 0.162697i
\(67\) −3.31614 + 12.3760i −0.405131 + 1.51197i 0.398683 + 0.917089i \(0.369467\pi\)
−0.803814 + 0.594880i \(0.797199\pi\)
\(68\) 5.54661 1.48621i 0.672626 0.180230i
\(69\) 5.27630i 0.635192i
\(70\) −3.98414 + 4.37340i −0.476196 + 0.522721i
\(71\) −8.83561 −1.04859 −0.524297 0.851536i \(-0.675672\pi\)
−0.524297 + 0.851536i \(0.675672\pi\)
\(72\) −0.558697 2.08509i −0.0658431 0.245730i
\(73\) 1.38004 5.15037i 0.161521 0.602806i −0.836937 0.547299i \(-0.815656\pi\)
0.998458 0.0555064i \(-0.0176773\pi\)
\(74\) −2.86102 4.95543i −0.332587 0.576057i
\(75\) −0.388110 4.56983i −0.0448151 0.527679i
\(76\) 3.27410i 0.375566i
\(77\) 0.534374 + 8.75868i 0.0608976 + 0.998144i
\(78\) 1.94755 1.94755i 0.220516 0.220516i
\(79\) −4.54539 + 7.87284i −0.511396 + 0.885763i 0.488517 + 0.872554i \(0.337538\pi\)
−0.999913 + 0.0132091i \(0.995795\pi\)
\(80\) −2.02776 + 0.942428i −0.226711 + 0.105367i
\(81\) 1.06783 + 1.84953i 0.118647 + 0.205503i
\(82\) 8.74302 2.34269i 0.965505 0.258706i
\(83\) −9.94541 9.94541i −1.09165 1.09165i −0.995353 0.0962978i \(-0.969300\pi\)
−0.0962978 0.995353i \(-0.530700\pi\)
\(84\) 2.40737 + 0.306706i 0.262666 + 0.0334644i
\(85\) 8.24097 + 9.84658i 0.893859 + 1.06801i
\(86\) 3.17430 5.49805i 0.342293 0.592870i
\(87\) 0.965039 + 0.258581i 0.103463 + 0.0277228i
\(88\) −1.09336 + 3.13122i −0.116552 + 0.333790i
\(89\) −1.27069 0.733635i −0.134693 0.0777652i 0.431139 0.902285i \(-0.358112\pi\)
−0.565832 + 0.824520i \(0.691445\pi\)
\(90\) 3.70153 3.09795i 0.390176 0.326553i
\(91\) −3.07084 7.32690i −0.321912 0.768068i
\(92\) −4.06746 4.06746i −0.424062 0.424062i
\(93\) −0.344991 1.28752i −0.0357739 0.133510i
\(94\) −5.54363 9.60185i −0.571782 0.990355i
\(95\) 6.63911 3.08561i 0.681159 0.316577i
\(96\) 0.794367 + 0.458628i 0.0810748 + 0.0468085i
\(97\) 7.76343 + 7.76343i 0.788256 + 0.788256i 0.981208 0.192952i \(-0.0618061\pi\)
−0.192952 + 0.981208i \(0.561806\pi\)
\(98\) 3.44920 6.09122i 0.348422 0.615306i
\(99\) 0.530341 7.13973i 0.0533012 0.717570i
\(100\) −3.82204 3.22366i −0.382204 0.322366i
\(101\) −13.6616 + 7.88750i −1.35938 + 0.784836i −0.989540 0.144261i \(-0.953919\pi\)
−0.369836 + 0.929097i \(0.620586\pi\)
\(102\) 1.36324 5.08767i 0.134980 0.503754i
\(103\) 2.64367 + 9.86630i 0.260488 + 0.972155i 0.964954 + 0.262418i \(0.0845198\pi\)
−0.704466 + 0.709737i \(0.748814\pi\)
\(104\) 3.00270i 0.294439i
\(105\) 1.64685 + 5.17063i 0.160716 + 0.504602i
\(106\) 4.41477i 0.428800i
\(107\) −0.352342 1.31496i −0.0340622 0.127122i 0.946801 0.321819i \(-0.104294\pi\)
−0.980863 + 0.194697i \(0.937628\pi\)
\(108\) −4.57056 1.22468i −0.439803 0.117845i
\(109\) −4.22294 7.31434i −0.404484 0.700587i 0.589777 0.807566i \(-0.299216\pi\)
−0.994261 + 0.106979i \(0.965882\pi\)
\(110\) −7.37980 + 0.733879i −0.703636 + 0.0699726i
\(111\) −5.24857 −0.498173
\(112\) 2.09227 1.61939i 0.197701 0.153018i
\(113\) 0.168619 0.168619i 0.0158623 0.0158623i −0.699131 0.714993i \(-0.746430\pi\)
0.714993 + 0.699131i \(0.246430\pi\)
\(114\) −2.60084 1.50160i −0.243591 0.140637i
\(115\) 4.41457 12.0812i 0.411661 1.12657i
\(116\) 0.943281 0.544603i 0.0875814 0.0505651i
\(117\) 1.67760 + 6.26089i 0.155094 + 0.578820i
\(118\) 4.22519 + 4.22519i 0.388960 + 0.388960i
\(119\) −12.0917 9.19823i −1.10844 0.843201i
\(120\) −0.181356 + 2.04301i −0.0165555 + 0.186501i
\(121\) −6.84710 + 8.60913i −0.622464 + 0.782649i
\(122\) 0.199186 0.743372i 0.0180335 0.0673018i
\(123\) 2.14884 8.01959i 0.193755 0.723102i
\(124\) −1.25849 0.726592i −0.113016 0.0652499i
\(125\) 2.93483 10.7883i 0.262499 0.964932i
\(126\) −3.45781 + 4.54551i −0.308046 + 0.404946i
\(127\) 11.6880 11.6880i 1.03714 1.03714i 0.0378585 0.999283i \(-0.487946\pi\)
0.999283 0.0378585i \(-0.0120536\pi\)
\(128\) 0.965926 0.258819i 0.0853766 0.0228766i
\(129\) −2.91164 5.04312i −0.256356 0.444022i
\(130\) 6.08877 2.82983i 0.534021 0.248192i
\(131\) −13.0225 7.51855i −1.13778 0.656899i −0.191902 0.981414i \(-0.561466\pi\)
−0.945880 + 0.324515i \(0.894799\pi\)
\(132\) 1.98590 + 2.30460i 0.172850 + 0.200589i
\(133\) −6.85030 + 5.30205i −0.593996 + 0.459746i
\(134\) 12.8126 1.10684
\(135\) −1.82406 10.4222i −0.156991 0.897000i
\(136\) −2.87114 4.97296i −0.246198 0.426428i
\(137\) 1.00788 3.76147i 0.0861093 0.321364i −0.909413 0.415895i \(-0.863468\pi\)
0.995522 + 0.0945308i \(0.0301351\pi\)
\(138\) −5.09651 + 1.36561i −0.433844 + 0.116248i
\(139\) −1.18051 −0.100129 −0.0500647 0.998746i \(-0.515943\pi\)
−0.0500647 + 0.998746i \(0.515943\pi\)
\(140\) 5.25555 + 2.71646i 0.444175 + 0.229583i
\(141\) −10.1699 −0.856457
\(142\) 2.28682 + 8.53454i 0.191906 + 0.716203i
\(143\) 3.28303 9.40213i 0.274541 0.786246i
\(144\) −1.86944 + 1.07932i −0.155786 + 0.0899434i
\(145\) 1.99330 + 1.39950i 0.165535 + 0.116222i
\(146\) −5.33206 −0.441284
\(147\) −3.25677 5.53354i −0.268614 0.456399i
\(148\) −4.04609 + 4.04609i −0.332587 + 0.332587i
\(149\) −8.36237 + 14.4841i −0.685072 + 1.18658i 0.288342 + 0.957528i \(0.406896\pi\)
−0.973414 + 0.229052i \(0.926437\pi\)
\(150\) −4.31367 + 1.55764i −0.352209 + 0.127181i
\(151\) −4.16857 + 2.40672i −0.339233 + 0.195856i −0.659933 0.751325i \(-0.729415\pi\)
0.320700 + 0.947181i \(0.396082\pi\)
\(152\) −3.16254 + 0.847401i −0.256516 + 0.0687333i
\(153\) 8.76495 + 8.76495i 0.708604 + 0.708604i
\(154\) 8.32193 2.78308i 0.670600 0.224267i
\(155\) 0.287318 3.23669i 0.0230779 0.259977i
\(156\) −2.38525 1.37712i −0.190973 0.110258i
\(157\) 5.43933 20.2999i 0.434106 1.62011i −0.309090 0.951033i \(-0.600025\pi\)
0.743196 0.669073i \(-0.233309\pi\)
\(158\) 8.78101 + 2.35286i 0.698580 + 0.187184i
\(159\) 3.50695 + 2.02474i 0.278119 + 0.160572i
\(160\) 1.43514 + 1.71475i 0.113458 + 0.135563i
\(161\) −1.92340 + 15.0970i −0.151585 + 1.18981i
\(162\) 1.51014 1.51014i 0.118647 0.118647i
\(163\) 6.01090 + 22.4330i 0.470810 + 1.75709i 0.636870 + 0.770971i \(0.280229\pi\)
−0.166060 + 0.986116i \(0.553105\pi\)
\(164\) −4.52572 7.83878i −0.353399 0.612106i
\(165\) −2.80161 + 6.19885i −0.218105 + 0.482580i
\(166\) −7.03247 + 12.1806i −0.545825 + 0.945397i
\(167\) −12.0321 + 12.0321i −0.931069 + 0.931069i −0.997773 0.0667037i \(-0.978752\pi\)
0.0667037 + 0.997773i \(0.478752\pi\)
\(168\) −0.326819 2.40473i −0.0252146 0.185529i
\(169\) 3.98379i 0.306445i
\(170\) 7.37815 10.5086i 0.565878 0.805976i
\(171\) 6.12074 3.53381i 0.468064 0.270237i
\(172\) −6.13227 1.64314i −0.467581 0.125288i
\(173\) 6.44480 1.72688i 0.489989 0.131292i −0.00536095 0.999986i \(-0.501706\pi\)
0.495350 + 0.868693i \(0.335040\pi\)
\(174\) 0.999081i 0.0757402i
\(175\) −0.555374 + 13.2171i −0.0419823 + 0.999118i
\(176\) 3.30751 + 0.245683i 0.249313 + 0.0185190i
\(177\) 5.29415 1.41856i 0.397932 0.106626i
\(178\) −0.379758 + 1.41727i −0.0284640 + 0.106229i
\(179\) 3.42495 1.97740i 0.255993 0.147797i −0.366512 0.930413i \(-0.619448\pi\)
0.622505 + 0.782616i \(0.286115\pi\)
\(180\) −3.95042 2.77360i −0.294447 0.206732i
\(181\) −15.5809 −1.15812 −0.579058 0.815286i \(-0.696580\pi\)
−0.579058 + 0.815286i \(0.696580\pi\)
\(182\) −6.28245 + 4.86255i −0.465686 + 0.360436i
\(183\) −0.499158 0.499158i −0.0368988 0.0368988i
\(184\) −2.87613 + 4.98161i −0.212031 + 0.367249i
\(185\) −12.0177 4.39137i −0.883556 0.322860i
\(186\) −1.15436 + 0.666471i −0.0846419 + 0.0488681i
\(187\) −3.55295 18.7106i −0.259818 1.36826i
\(188\) −7.83988 + 7.83988i −0.571782 + 0.571782i
\(189\) 4.83917 + 11.5461i 0.351998 + 0.839853i
\(190\) −4.69880 5.61428i −0.340887 0.407303i
\(191\) −1.64684 + 2.85240i −0.119161 + 0.206393i −0.919435 0.393241i \(-0.871354\pi\)
0.800275 + 0.599634i \(0.204687\pi\)
\(192\) 0.237403 0.886001i 0.0171331 0.0639417i
\(193\) −3.92901 + 14.6633i −0.282817 + 1.05549i 0.667604 + 0.744517i \(0.267320\pi\)
−0.950420 + 0.310969i \(0.899347\pi\)
\(194\) 5.48957 9.50822i 0.394128 0.682650i
\(195\) 0.544559 6.13456i 0.0389967 0.439305i
\(196\) −6.77639 1.75515i −0.484028 0.125368i
\(197\) 10.8733 10.8733i 0.774691 0.774691i −0.204232 0.978923i \(-0.565470\pi\)
0.978923 + 0.204232i \(0.0654696\pi\)
\(198\) −7.03371 + 1.33563i −0.499864 + 0.0949190i
\(199\) −6.06205 + 3.49993i −0.429728 + 0.248103i −0.699231 0.714896i \(-0.746474\pi\)
0.269503 + 0.963000i \(0.413141\pi\)
\(200\) −2.12460 + 4.52615i −0.150232 + 0.320047i
\(201\) 5.87621 10.1779i 0.414476 0.717893i
\(202\) 11.1546 + 11.1546i 0.784836 + 0.784836i
\(203\) −2.66699 1.09167i −0.187186 0.0766201i
\(204\) −5.26714 −0.368774
\(205\) 11.6300 16.5646i 0.812277 1.15692i
\(206\) 8.84588 5.10717i 0.616322 0.355833i
\(207\) 3.21377 11.9940i 0.223373 0.833638i
\(208\) −2.90039 + 0.777156i −0.201106 + 0.0538861i
\(209\) −10.8291 0.804391i −0.749067 0.0556409i
\(210\) 4.56821 2.92899i 0.315237 0.202120i
\(211\) 18.5581i 1.27759i −0.769376 0.638797i \(-0.779433\pi\)
0.769376 0.638797i \(-0.220567\pi\)
\(212\) 4.26434 1.14263i 0.292876 0.0784759i
\(213\) 7.82836 + 2.09760i 0.536390 + 0.143725i
\(214\) −1.17896 + 0.680673i −0.0805920 + 0.0465298i
\(215\) −2.44733 13.9833i −0.166906 0.953656i
\(216\) 4.73180i 0.321958i
\(217\) 0.517770 + 3.80974i 0.0351485 + 0.258622i
\(218\) −5.97213 + 5.97213i −0.404484 + 0.404484i
\(219\) −2.44543 + 4.23561i −0.165247 + 0.286216i
\(220\) 2.61890 + 6.93840i 0.176567 + 0.467787i
\(221\) 8.62117 + 14.9323i 0.579923 + 1.00446i
\(222\) 1.35843 + 5.06973i 0.0911719 + 0.340258i
\(223\) −1.11122 + 1.11122i −0.0744127 + 0.0744127i −0.743334 0.668921i \(-0.766756\pi\)
0.668921 + 0.743334i \(0.266756\pi\)
\(224\) −2.10573 1.60184i −0.140695 0.107028i
\(225\) 1.90122 10.6244i 0.126748 0.708296i
\(226\) −0.206515 0.119232i −0.0137372 0.00793117i
\(227\) −21.6405 5.79857i −1.43633 0.384864i −0.545085 0.838381i \(-0.683503\pi\)
−0.891248 + 0.453516i \(0.850169\pi\)
\(228\) −0.777284 + 2.90086i −0.0514769 + 0.192114i
\(229\) −0.304389 0.175739i −0.0201146 0.0116132i 0.489909 0.871774i \(-0.337030\pi\)
−0.510024 + 0.860160i \(0.670363\pi\)
\(230\) −12.8121 1.13732i −0.844803 0.0749923i
\(231\) 1.60588 7.88706i 0.105659 0.518931i
\(232\) −0.770185 0.770185i −0.0505651 0.0505651i
\(233\) −21.4702 + 5.75293i −1.40656 + 0.376887i −0.880696 0.473681i \(-0.842925\pi\)
−0.525865 + 0.850568i \(0.676258\pi\)
\(234\) 5.61336 3.24088i 0.366957 0.211863i
\(235\) −23.2859 8.50891i −1.51901 0.555060i
\(236\) 2.98766 5.17478i 0.194480 0.336850i
\(237\) 5.89626 5.89626i 0.383003 0.383003i
\(238\) −5.75525 + 14.0603i −0.373058 + 0.911397i
\(239\) 17.0499 1.10286 0.551432 0.834220i \(-0.314082\pi\)
0.551432 + 0.834220i \(0.314082\pi\)
\(240\) 2.02034 0.353594i 0.130412 0.0228244i
\(241\) −3.71736 + 2.14622i −0.239456 + 0.138250i −0.614927 0.788584i \(-0.710814\pi\)
0.375471 + 0.926834i \(0.377481\pi\)
\(242\) 10.0879 + 4.38558i 0.648478 + 0.281916i
\(243\) −4.18105 15.6039i −0.268214 1.00099i
\(244\) −0.769596 −0.0492683
\(245\) −2.82723 15.3950i −0.180625 0.983552i
\(246\) −8.30249 −0.529348
\(247\) 9.49617 2.54449i 0.604227 0.161902i
\(248\) −0.376112 + 1.40367i −0.0238831 + 0.0891330i
\(249\) 6.45057 + 11.1727i 0.408788 + 0.708042i
\(250\) −11.1803 0.0426140i −0.707102 0.00269515i
\(251\) 10.4665 0.660642 0.330321 0.943869i \(-0.392843\pi\)
0.330321 + 0.943869i \(0.392843\pi\)
\(252\) 5.28557 + 2.16352i 0.332960 + 0.136289i
\(253\) −14.4525 + 12.4539i −0.908621 + 0.782969i
\(254\) −14.3148 8.26466i −0.898191 0.518571i
\(255\) −4.96390 10.6805i −0.310851 0.668840i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −11.8573 + 3.17717i −0.739641 + 0.198186i −0.608919 0.793233i \(-0.708396\pi\)
−0.130723 + 0.991419i \(0.541730\pi\)
\(258\) −4.11769 + 4.11769i −0.256356 + 0.256356i
\(259\) 15.0177 + 1.91330i 0.933154 + 0.118886i
\(260\) −4.30929 5.14889i −0.267251 0.319321i
\(261\) 2.03620 + 1.17560i 0.126038 + 0.0727680i
\(262\) −3.89189 + 14.5247i −0.240442 + 0.897341i
\(263\) −1.26749 + 4.73034i −0.0781569 + 0.291685i −0.993931 0.110009i \(-0.964912\pi\)
0.915774 + 0.401695i \(0.131579\pi\)
\(264\) 1.71208 2.51470i 0.105371 0.154769i
\(265\) 6.33581 + 7.57024i 0.389206 + 0.465036i
\(266\) 6.89438 + 5.24461i 0.422721 + 0.321567i
\(267\) 0.951669 + 0.951669i 0.0582412 + 0.0582412i
\(268\) −3.31614 12.3760i −0.202565 0.755985i
\(269\) 9.88871 5.70925i 0.602926 0.348099i −0.167266 0.985912i \(-0.553494\pi\)
0.770192 + 0.637813i \(0.220161\pi\)
\(270\) −9.59497 + 4.45937i −0.583931 + 0.271389i
\(271\) 22.6390 + 13.0707i 1.37522 + 0.793985i 0.991580 0.129496i \(-0.0413359\pi\)
0.383643 + 0.923481i \(0.374669\pi\)
\(272\) −4.06040 + 4.06040i −0.246198 + 0.246198i
\(273\) 0.981339 + 7.22067i 0.0593933 + 0.437015i
\(274\) −3.89416 −0.235255
\(275\) −11.6013 + 11.8495i −0.699585 + 0.714549i
\(276\) 2.63815 + 4.56941i 0.158798 + 0.275046i
\(277\) −25.5213 6.83842i −1.53343 0.410881i −0.609293 0.792945i \(-0.708547\pi\)
−0.924136 + 0.382064i \(0.875213\pi\)
\(278\) 0.305538 + 1.14028i 0.0183249 + 0.0683896i
\(279\) 3.13690i 0.187802i
\(280\) 1.26367 5.77955i 0.0755185 0.345394i
\(281\) 10.8568i 0.647664i 0.946115 + 0.323832i \(0.104971\pi\)
−0.946115 + 0.323832i \(0.895029\pi\)
\(282\) 2.63215 + 9.82333i 0.156742 + 0.584971i
\(283\) 7.26190 27.1018i 0.431675 1.61103i −0.317224 0.948351i \(-0.602751\pi\)
0.748899 0.662684i \(-0.230583\pi\)
\(284\) 7.65186 4.41780i 0.454054 0.262148i
\(285\) −6.61480 + 1.15770i −0.391827 + 0.0685765i
\(286\) −9.93147 0.737712i −0.587260 0.0436218i
\(287\) −9.07190 + 22.1631i −0.535497 + 1.30824i
\(288\) 1.52639 + 1.52639i 0.0899434 + 0.0899434i
\(289\) 13.8337 + 7.98688i 0.813745 + 0.469816i
\(290\) 0.835911 2.28760i 0.0490864 0.134332i
\(291\) −5.03534 8.72147i −0.295177 0.511262i
\(292\) 1.38004 + 5.15037i 0.0807606 + 0.301403i
\(293\) 8.54554 + 8.54554i 0.499236 + 0.499236i 0.911200 0.411964i \(-0.135157\pi\)
−0.411964 + 0.911200i \(0.635157\pi\)
\(294\) −4.50208 + 4.57798i −0.262566 + 0.266993i
\(295\) 13.3089 + 1.18142i 0.774874 + 0.0687848i
\(296\) 4.95543 + 2.86102i 0.288028 + 0.166293i
\(297\) −5.17355 + 14.8163i −0.300200 + 0.859730i
\(298\) 16.1549 + 4.32868i 0.935826 + 0.250754i
\(299\) 8.63616 14.9583i 0.499442 0.865059i
\(300\) 2.62103 + 3.76353i 0.151325 + 0.217288i
\(301\) 6.49266 + 15.4912i 0.374231 + 0.892899i
\(302\) 3.40362 + 3.40362i 0.195856 + 0.195856i
\(303\) 13.9767 3.74504i 0.802939 0.215147i
\(304\) 1.63705 + 2.83546i 0.0938914 + 0.162625i
\(305\) −0.725288 1.56056i −0.0415299 0.0893574i
\(306\) 6.19776 10.7348i 0.354302 0.613669i
\(307\) −2.51961 + 2.51961i −0.143802 + 0.143802i −0.775343 0.631541i \(-0.782423\pi\)
0.631541 + 0.775343i \(0.282423\pi\)
\(308\) −4.84212 7.31805i −0.275905 0.416985i
\(309\) 9.36917i 0.532993i
\(310\) −3.20077 + 0.560190i −0.181791 + 0.0318166i
\(311\) −1.30460 2.25964i −0.0739772 0.128132i 0.826664 0.562696i \(-0.190236\pi\)
−0.900641 + 0.434564i \(0.856903\pi\)
\(312\) −0.712851 + 2.66040i −0.0403573 + 0.150615i
\(313\) −4.46679 16.6703i −0.252478 0.942260i −0.969476 0.245185i \(-0.921151\pi\)
0.716998 0.697075i \(-0.245516\pi\)
\(314\) −21.0160 −1.18600
\(315\) 0.594163 + 12.7569i 0.0334773 + 0.718768i
\(316\) 9.09077i 0.511396i
\(317\) 22.8268 6.11641i 1.28208 0.343532i 0.447432 0.894318i \(-0.352339\pi\)
0.834647 + 0.550786i \(0.185672\pi\)
\(318\) 1.04808 3.91149i 0.0587735 0.219346i
\(319\) −1.56953 3.25371i −0.0878771 0.182173i
\(320\) 1.28488 1.83005i 0.0718271 0.102303i
\(321\) 1.24870i 0.0696958i
\(322\) 15.0804 2.04953i 0.840399 0.114216i
\(323\) 13.2942 13.2942i 0.739708 0.739708i
\(324\) −1.84953 1.06783i −0.102752 0.0593237i
\(325\) 6.37954 13.5907i 0.353873 0.753876i
\(326\) 20.1129 11.6122i 1.11395 0.643138i
\(327\) 2.00508 + 7.48306i 0.110881 + 0.413814i
\(328\) −6.40034 + 6.40034i −0.353399 + 0.353399i
\(329\) 29.0989 + 3.70728i 1.60428 + 0.204389i
\(330\) 6.71274 + 1.10177i 0.369524 + 0.0606505i
\(331\) −14.1358 + 24.4839i −0.776972 + 1.34576i 0.156707 + 0.987645i \(0.449912\pi\)
−0.933679 + 0.358110i \(0.883421\pi\)
\(332\) 13.5857 + 3.64027i 0.745611 + 0.199786i
\(333\) −11.9309 3.19689i −0.653812 0.175188i
\(334\) 14.7362 + 8.50795i 0.806330 + 0.465535i
\(335\) 21.9704 18.3878i 1.20037 1.00463i
\(336\) −2.23820 + 0.938071i −0.122104 + 0.0511760i
\(337\) 17.0261 17.0261i 0.927468 0.927468i −0.0700738 0.997542i \(-0.522323\pi\)
0.997542 + 0.0700738i \(0.0223235\pi\)
\(338\) −3.84804 + 1.03108i −0.209306 + 0.0560833i
\(339\) −0.189427 + 0.109366i −0.0102883 + 0.00593995i
\(340\) −12.0602 4.40691i −0.654055 0.238998i
\(341\) −2.71240 + 3.98398i −0.146885 + 0.215744i
\(342\) −4.99756 4.99756i −0.270237 0.270237i
\(343\) 7.30138 + 17.0203i 0.394237 + 0.919009i
\(344\) 6.34860i 0.342293i
\(345\) −6.77942 + 9.65588i −0.364992 + 0.519855i
\(346\) −3.33607 5.77825i −0.179348 0.310641i
\(347\) −0.852126 0.228326i −0.0457445 0.0122572i 0.235874 0.971784i \(-0.424205\pi\)
−0.281619 + 0.959526i \(0.590871\pi\)
\(348\) −0.965039 + 0.258581i −0.0517315 + 0.0138614i
\(349\) 0.321048 0.0171853 0.00859265 0.999963i \(-0.497265\pi\)
0.00859265 + 0.999963i \(0.497265\pi\)
\(350\) 12.9105 2.88439i 0.690094 0.154177i
\(351\) 14.2082i 0.758376i
\(352\) −0.618736 3.25840i −0.0329787 0.173673i
\(353\) 26.3703 + 7.06591i 1.40355 + 0.376080i 0.879619 0.475680i \(-0.157798\pi\)
0.523932 + 0.851760i \(0.324465\pi\)
\(354\) −2.74045 4.74660i −0.145653 0.252279i
\(355\) 16.1696 + 11.3527i 0.858193 + 0.602539i
\(356\) 1.46727 0.0777652
\(357\) 8.52956 + 11.0203i 0.451432 + 0.583254i
\(358\) −2.79646 2.79646i −0.147797 0.147797i
\(359\) −8.49168 + 14.7080i −0.448174 + 0.776260i −0.998267 0.0588435i \(-0.981259\pi\)
0.550094 + 0.835103i \(0.314592\pi\)
\(360\) −1.65665 + 4.53367i −0.0873130 + 0.238945i
\(361\) 4.14012 + 7.17090i 0.217901 + 0.377416i
\(362\) 4.03263 + 15.0500i 0.211950 + 0.791008i
\(363\) 8.11038 6.00218i 0.425685 0.315033i
\(364\) 6.32288 + 4.80986i 0.331409 + 0.252105i
\(365\) −9.14316 + 7.65225i −0.478575 + 0.400537i
\(366\) −0.352958 + 0.611342i −0.0184494 + 0.0319553i
\(367\) −2.49149 + 9.29836i −0.130055 + 0.485370i −0.999969 0.00783187i \(-0.997507\pi\)
0.869915 + 0.493202i \(0.164174\pi\)
\(368\) 5.55626 + 1.48880i 0.289640 + 0.0776088i
\(369\) 9.76941 16.9211i 0.508575 0.880878i
\(370\) −1.13134 + 12.7447i −0.0588155 + 0.662568i
\(371\) −9.29631 7.07177i −0.482640 0.367148i
\(372\) 0.942533 + 0.942533i 0.0488681 + 0.0488681i
\(373\) 24.2923 6.50910i 1.25781 0.337029i 0.432460 0.901653i \(-0.357646\pi\)
0.825348 + 0.564624i \(0.190979\pi\)
\(374\) −17.1535 + 8.27456i −0.886987 + 0.427867i
\(375\) −5.16143 + 8.86169i −0.266535 + 0.457616i
\(376\) 9.60185 + 5.54363i 0.495178 + 0.285891i
\(377\) 2.31264 + 2.31264i 0.119107 + 0.119107i
\(378\) 9.90017 7.66262i 0.509210 0.394123i
\(379\) 12.7848i 0.656710i 0.944554 + 0.328355i \(0.106494\pi\)
−0.944554 + 0.328355i \(0.893506\pi\)
\(380\) −4.20684 + 5.99177i −0.215806 + 0.307371i
\(381\) −13.1303 + 7.58081i −0.672688 + 0.388377i
\(382\) 3.18144 + 0.852465i 0.162777 + 0.0436159i
\(383\) 1.22771 + 4.58187i 0.0627330 + 0.234123i 0.990173 0.139850i \(-0.0446620\pi\)
−0.927440 + 0.373973i \(0.877995\pi\)
\(384\) −0.917256 −0.0468085
\(385\) 10.2759 16.7154i 0.523710 0.851896i
\(386\) 15.1805 0.772669
\(387\) −3.54694 13.2374i −0.180301 0.672894i
\(388\) −10.6050 2.84161i −0.538389 0.144261i
\(389\) −23.7499 + 13.7120i −1.20417 + 0.695226i −0.961479 0.274879i \(-0.911362\pi\)
−0.242688 + 0.970105i \(0.578029\pi\)
\(390\) −6.06647 + 1.06174i −0.307188 + 0.0537632i
\(391\) 33.0311i 1.67045i
\(392\) 0.0585139 + 6.99976i 0.00295540 + 0.353541i
\(393\) 9.75304 + 9.75304i 0.491976 + 0.491976i
\(394\) −13.3170 7.68859i −0.670902 0.387345i
\(395\) 18.4339 8.56739i 0.927512 0.431072i
\(396\) 3.11058 + 6.44836i 0.156312 + 0.324042i
\(397\) −36.0060 + 9.64778i −1.80709 + 0.484208i −0.995048 0.0993924i \(-0.968310\pi\)
−0.812041 + 0.583601i \(0.801643\pi\)
\(398\) 4.94965 + 4.94965i 0.248103 + 0.248103i
\(399\) 7.32810 3.07134i 0.366864 0.153760i
\(400\) 4.92182 + 0.880750i 0.246091 + 0.0440375i
\(401\) 15.6067 27.0316i 0.779363 1.34990i −0.152947 0.988234i \(-0.548876\pi\)
0.932310 0.361661i \(-0.117790\pi\)
\(402\) −11.3520 3.04175i −0.566184 0.151709i
\(403\) 1.12935 4.21480i 0.0562570 0.209954i
\(404\) 7.88750 13.6616i 0.392418 0.679688i
\(405\) 0.422253 4.75676i 0.0209819 0.236365i
\(406\) −0.364202 + 2.85866i −0.0180750 + 0.141873i
\(407\) 12.3884 + 14.3766i 0.614072 + 0.712619i
\(408\) 1.36324 + 5.08767i 0.0674902 + 0.251877i
\(409\) 6.84762 + 11.8604i 0.338593 + 0.586460i 0.984168 0.177236i \(-0.0567157\pi\)
−0.645575 + 0.763697i \(0.723382\pi\)
\(410\) −19.0102 6.94652i −0.938848 0.343064i
\(411\) −1.78597 + 3.09339i −0.0880955 + 0.152586i
\(412\) −7.22263 7.22263i −0.355833 0.355833i
\(413\) −15.6652 + 2.12901i −0.770834 + 0.104762i
\(414\) −12.4171 −0.610266
\(415\) 5.42190 + 30.9793i 0.266151 + 1.52071i
\(416\) 1.50135 + 2.60042i 0.0736098 + 0.127496i
\(417\) 1.04593 + 0.280257i 0.0512195 + 0.0137242i
\(418\) 2.02581 + 10.6683i 0.0990854 + 0.521806i
\(419\) 4.14500i 0.202496i −0.994861 0.101248i \(-0.967716\pi\)
0.994861 0.101248i \(-0.0322836\pi\)
\(420\) −4.01153 3.65448i −0.195743 0.178320i
\(421\) 10.8019 0.526452 0.263226 0.964734i \(-0.415214\pi\)
0.263226 + 0.964734i \(0.415214\pi\)
\(422\) −17.9258 + 4.80319i −0.872612 + 0.233816i
\(423\) −23.1179 6.19442i −1.12403 0.301183i
\(424\) −2.20739 3.82330i −0.107200 0.185676i
\(425\) −2.42968 28.6084i −0.117857 1.38771i
\(426\) 8.10452i 0.392665i
\(427\) 1.24628 + 1.61020i 0.0603115 + 0.0779230i
\(428\) 0.962617 + 0.962617i 0.0465298 + 0.0465298i
\(429\) −5.14087 + 7.55090i −0.248203 + 0.364561i
\(430\) −12.8735 + 5.98309i −0.620813 + 0.288530i
\(431\) 22.2356 12.8377i 1.07105 0.618372i 0.142583 0.989783i \(-0.454459\pi\)
0.928469 + 0.371411i \(0.121126\pi\)
\(432\) 4.57056 1.22468i 0.219901 0.0589224i
\(433\) −0.631981 + 0.631981i −0.0303711 + 0.0303711i −0.722129 0.691758i \(-0.756836\pi\)
0.691758 + 0.722129i \(0.256836\pi\)
\(434\) 3.54592 1.48616i 0.170210 0.0713380i
\(435\) −1.43382 1.71318i −0.0687465 0.0821406i
\(436\) 7.31434 + 4.22294i 0.350293 + 0.202242i
\(437\) −18.1918 4.87447i −0.870231 0.233178i
\(438\) 4.72421 + 1.26585i 0.225732 + 0.0604846i
\(439\) −5.16978 + 8.95432i −0.246740 + 0.427366i −0.962619 0.270858i \(-0.912693\pi\)
0.715879 + 0.698224i \(0.246026\pi\)
\(440\) 6.02415 4.32546i 0.287190 0.206208i
\(441\) −4.03275 14.5624i −0.192036 0.693448i
\(442\) 12.1922 12.1922i 0.579923 0.579923i
\(443\) −0.965786 3.60436i −0.0458859 0.171248i 0.939180 0.343424i \(-0.111587\pi\)
−0.985066 + 0.172176i \(0.944920\pi\)
\(444\) 4.54540 2.62429i 0.215715 0.124543i
\(445\) 1.38280 + 2.97528i 0.0655508 + 0.141042i
\(446\) 1.36096 + 0.785750i 0.0644433 + 0.0372064i
\(447\) 10.8476 10.8476i 0.513076 0.513076i
\(448\) −1.00226 + 2.44857i −0.0473523 + 0.115684i
\(449\) 3.23662i 0.152745i 0.997079 + 0.0763727i \(0.0243339\pi\)
−0.997079 + 0.0763727i \(0.975666\pi\)
\(450\) −10.7545 + 0.913365i −0.506971 + 0.0430565i
\(451\) −27.0388 + 13.0430i −1.27321 + 0.614172i
\(452\) −0.0617189 + 0.230338i −0.00290301 + 0.0108342i
\(453\) 4.26472 1.14273i 0.200374 0.0536901i
\(454\) 22.4039i 1.05147i
\(455\) −3.79441 + 17.3542i −0.177885 + 0.813580i
\(456\) 3.00319 0.140637
\(457\) 3.98241 + 14.8626i 0.186289 + 0.695242i 0.994351 + 0.106143i \(0.0338503\pi\)
−0.808061 + 0.589098i \(0.799483\pi\)
\(458\) −0.0909692 + 0.339502i −0.00425071 + 0.0158639i
\(459\) −13.5856 23.5310i −0.634123 1.09833i
\(460\) 2.21745 + 12.6699i 0.103389 + 0.590736i
\(461\) 7.32747i 0.341274i −0.985334 0.170637i \(-0.945417\pi\)
0.985334 0.170637i \(-0.0545826\pi\)
\(462\) −8.03395 + 0.490158i −0.373773 + 0.0228042i
\(463\) −13.3123 + 13.3123i −0.618673 + 0.618673i −0.945191 0.326518i \(-0.894125\pi\)
0.326518 + 0.945191i \(0.394125\pi\)
\(464\) −0.544603 + 0.943281i −0.0252826 + 0.0437907i
\(465\) −1.02297 + 2.79950i −0.0474389 + 0.129824i
\(466\) 11.1138 + 19.2497i 0.514837 + 0.891724i
\(467\) 0.285068 0.0763838i 0.0131914 0.00353462i −0.252217 0.967671i \(-0.581160\pi\)
0.265409 + 0.964136i \(0.414493\pi\)
\(468\) −4.58329 4.58329i −0.211863 0.211863i
\(469\) −20.5238 + 26.9798i −0.947699 + 1.24581i
\(470\) −2.19213 + 24.6948i −0.101115 + 1.13908i
\(471\) −9.63852 + 16.6944i −0.444119 + 0.769237i
\(472\) −5.77172 1.54653i −0.265665 0.0711847i
\(473\) −6.94129 + 19.8789i −0.319161 + 0.914032i
\(474\) −7.22141 4.16928i −0.331690 0.191502i
\(475\) −16.1145 2.88367i −0.739386 0.132312i
\(476\) 15.0708 + 1.92006i 0.690770 + 0.0880060i
\(477\) 6.73866 + 6.73866i 0.308542 + 0.308542i
\(478\) −4.41283 16.4689i −0.201838 0.753270i
\(479\) 18.3212 + 31.7332i 0.837116 + 1.44993i 0.892296 + 0.451452i \(0.149094\pi\)
−0.0551791 + 0.998476i \(0.517573\pi\)
\(480\) −0.864448 1.85998i −0.0394565 0.0848961i
\(481\) −14.8797 8.59078i −0.678455 0.391706i
\(482\) 3.03521 + 3.03521i 0.138250 + 0.138250i
\(483\) 5.28822 12.9194i 0.240622 0.587852i
\(484\) 1.62520 10.8793i 0.0738726 0.494513i
\(485\) −4.23236 24.1825i −0.192182 1.09807i
\(486\) −13.9901 + 8.07716i −0.634602 + 0.366388i
\(487\) 8.53370 31.8482i 0.386699 1.44318i −0.448773 0.893646i \(-0.648139\pi\)
0.835471 0.549534i \(-0.185195\pi\)
\(488\) 0.199186 + 0.743372i 0.00901673 + 0.0336509i
\(489\) 21.3027i 0.963340i
\(490\) −14.1387 + 6.71542i −0.638722 + 0.303372i
\(491\) 22.1672i 1.00039i −0.865913 0.500195i \(-0.833262\pi\)
0.865913 0.500195i \(-0.166738\pi\)
\(492\) 2.14884 + 8.01959i 0.0968773 + 0.361551i
\(493\) 6.04141 + 1.61879i 0.272091 + 0.0729067i
\(494\) −4.91558 8.51403i −0.221162 0.383064i
\(495\) −10.1443 + 12.3846i −0.455951 + 0.556648i
\(496\) 1.45318 0.0652499
\(497\) −21.6346 8.85557i −0.970443 0.397227i
\(498\) 9.12249 9.12249i 0.408788 0.408788i
\(499\) 24.7674 + 14.2994i 1.10874 + 0.640131i 0.938503 0.345272i \(-0.112213\pi\)
0.170237 + 0.985403i \(0.445547\pi\)
\(500\) 2.85250 + 10.8103i 0.127568 + 0.483453i
\(501\) 13.5169 7.80397i 0.603890 0.348656i
\(502\) −2.70894 10.1099i −0.120906 0.451227i
\(503\) 11.3614 + 11.3614i 0.506581 + 0.506581i 0.913475 0.406894i \(-0.133388\pi\)
−0.406894 + 0.913475i \(0.633388\pi\)
\(504\) 0.721792 5.66543i 0.0321512 0.252358i
\(505\) 35.1358 + 3.11897i 1.56352 + 0.138792i
\(506\) 15.7701 + 10.7367i 0.701067 + 0.477306i
\(507\) −0.945764 + 3.52964i −0.0420029 + 0.156757i
\(508\) −4.27810 + 15.9661i −0.189810 + 0.708381i
\(509\) −4.52235 2.61098i −0.200450 0.115730i 0.396415 0.918071i \(-0.370254\pi\)
−0.596865 + 0.802341i \(0.703587\pi\)
\(510\) −9.03184 + 7.55908i −0.399937 + 0.334722i
\(511\) 8.54113 11.2279i 0.377837 0.496692i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) −14.9645 + 4.00973i −0.660699 + 0.177034i
\(514\) 6.13782 + 10.6310i 0.270727 + 0.468914i
\(515\) 7.83899 21.4526i 0.345427 0.945315i
\(516\) 5.04312 + 2.91164i 0.222011 + 0.128178i
\(517\) 24.0044 + 27.8566i 1.05571 + 1.22513i
\(518\) −2.03876 15.0012i −0.0895781 0.659114i
\(519\) −6.12007 −0.268641
\(520\) −3.85812 + 5.49509i −0.169190 + 0.240976i
\(521\) 17.3616 + 30.0711i 0.760625 + 1.31744i 0.942529 + 0.334125i \(0.108441\pi\)
−0.181904 + 0.983316i \(0.558226\pi\)
\(522\) 0.608537 2.27109i 0.0266349 0.0994029i
\(523\) 22.2655 5.96604i 0.973604 0.260877i 0.263255 0.964726i \(-0.415204\pi\)
0.710349 + 0.703850i \(0.248537\pi\)
\(524\) 15.0371 0.656899
\(525\) 3.62984 11.5785i 0.158419 0.505328i
\(526\) 4.89721 0.213529
\(527\) −2.15974 8.06025i −0.0940797 0.351110i
\(528\) −2.87214 1.00289i −0.124994 0.0436452i
\(529\) −8.73692 + 5.04427i −0.379866 + 0.219316i
\(530\) 5.67246 8.07925i 0.246396 0.350940i
\(531\) 12.8986 0.559751
\(532\) 3.28150 8.01686i 0.142271 0.347575i
\(533\) 19.2183 19.2183i 0.832437 0.832437i
\(534\) 0.672932 1.16555i 0.0291206 0.0504384i
\(535\) −1.04476 + 2.85916i −0.0451691 + 0.123612i
\(536\) −11.0960 + 6.40629i −0.479275 + 0.276710i
\(537\) −3.50395 + 0.938881i −0.151207 + 0.0405157i
\(538\) −8.07410 8.07410i −0.348099 0.348099i
\(539\) −7.47002 + 21.9818i −0.321757 + 0.946822i
\(540\) 6.79079 + 8.11386i 0.292229 + 0.349165i
\(541\) 4.95657 + 2.86168i 0.213100 + 0.123033i 0.602751 0.797929i \(-0.294071\pi\)
−0.389651 + 0.920962i \(0.627405\pi\)
\(542\) 6.76587 25.2506i 0.290619 1.08460i
\(543\) 13.8047 + 3.69895i 0.592415 + 0.158737i
\(544\) 4.97296 + 2.87114i 0.213214 + 0.123099i
\(545\) −1.66989 + 18.8116i −0.0715300 + 0.805799i
\(546\) 6.72064 2.81675i 0.287617 0.120546i
\(547\) −17.6389 + 17.6389i −0.754184 + 0.754184i −0.975257 0.221073i \(-0.929044\pi\)
0.221073 + 0.975257i \(0.429044\pi\)
\(548\) 1.00788 + 3.76147i 0.0430546 + 0.160682i
\(549\) −0.830640 1.43871i −0.0354509 0.0614027i
\(550\) 14.4483 + 8.13914i 0.616079 + 0.347054i
\(551\) 1.78309 3.08840i 0.0759621 0.131570i
\(552\) 3.73091 3.73091i 0.158798 0.158798i
\(553\) −19.0203 + 14.7215i −0.808826 + 0.626022i
\(554\) 26.4216i 1.12255i
\(555\) 9.60514 + 6.74380i 0.407716 + 0.286258i
\(556\) 1.02235 0.590254i 0.0433573 0.0250323i
\(557\) 1.24225 + 0.332861i 0.0526360 + 0.0141038i 0.285041 0.958515i \(-0.407993\pi\)
−0.232405 + 0.972619i \(0.574659\pi\)
\(558\) −3.03002 + 0.811890i −0.128271 + 0.0343701i
\(559\) 19.0629i 0.806276i
\(560\) −5.90967 + 0.275249i −0.249729 + 0.0116314i
\(561\) −1.29405 + 17.4211i −0.0546346 + 0.735521i
\(562\) 10.4869 2.80995i 0.442362 0.118531i
\(563\) −0.377258 + 1.40795i −0.0158995 + 0.0593379i −0.973420 0.229028i \(-0.926445\pi\)
0.957520 + 0.288366i \(0.0931119\pi\)
\(564\) 8.80736 5.08493i 0.370857 0.214114i
\(565\) −0.525237 + 0.0919255i −0.0220969 + 0.00386733i
\(566\) −28.0578 −1.17936
\(567\) 0.760934 + 5.59894i 0.0319562 + 0.235133i
\(568\) −6.24772 6.24772i −0.262148 0.262148i
\(569\) 14.6168 25.3171i 0.612769 1.06135i −0.378003 0.925804i \(-0.623389\pi\)
0.990772 0.135542i \(-0.0432776\pi\)
\(570\) 2.83029 + 6.08977i 0.118548 + 0.255072i
\(571\) −22.8239 + 13.1774i −0.955150 + 0.551456i −0.894677 0.446714i \(-0.852594\pi\)
−0.0604732 + 0.998170i \(0.519261\pi\)
\(572\) 1.85788 + 9.78400i 0.0776818 + 0.409090i
\(573\) 2.13627 2.13627i 0.0892439 0.0892439i
\(574\) 23.7558 + 3.02656i 0.991550 + 0.126326i
\(575\) −23.6017 + 16.4369i −0.984260 + 0.685466i
\(576\) 1.07932 1.86944i 0.0449717 0.0778932i
\(577\) 2.05355 7.66397i 0.0854906 0.319055i −0.909916 0.414792i \(-0.863854\pi\)
0.995407 + 0.0957373i \(0.0305209\pi\)
\(578\) 4.13431 15.4295i 0.171965 0.641781i
\(579\) 6.96222 12.0589i 0.289340 0.501152i
\(580\) −2.42600 0.215354i −0.100734 0.00894208i
\(581\) −14.3841 34.3199i −0.596753 1.42383i
\(582\) −7.12105 + 7.12105i −0.295177 + 0.295177i
\(583\) −2.73158 14.3851i −0.113130 0.595769i
\(584\) 4.61770 2.66603i 0.191082 0.110321i
\(585\) 4.97442 13.6133i 0.205667 0.562839i
\(586\) 6.04261 10.4661i 0.249618 0.432351i
\(587\) −26.2081 26.2081i −1.08173 1.08173i −0.996349 0.0853768i \(-0.972791\pi\)
−0.0853768 0.996349i \(-0.527209\pi\)
\(588\) 5.58721 + 3.16380i 0.230413 + 0.130473i
\(589\) −4.75788 −0.196045
\(590\) −2.30343 13.1612i −0.0948309 0.541837i
\(591\) −12.2151 + 7.05240i −0.502463 + 0.290097i
\(592\) 1.48097 5.52706i 0.0608676 0.227161i
\(593\) −24.8337 + 6.65417i −1.01980 + 0.273254i −0.729718 0.683748i \(-0.760349\pi\)
−0.290080 + 0.957002i \(0.593682\pi\)
\(594\) 15.6505 + 1.16252i 0.642147 + 0.0476988i
\(595\) 10.3097 + 32.3696i 0.422657 + 1.32702i
\(596\) 16.7247i 0.685072i
\(597\) 6.20188 1.66179i 0.253826 0.0680125i
\(598\) −16.6838 4.47041i −0.682251 0.182809i
\(599\) 0.700534 0.404454i 0.0286231 0.0165255i −0.485620 0.874170i \(-0.661406\pi\)
0.514243 + 0.857644i \(0.328073\pi\)
\(600\) 2.95692 3.50579i 0.120716 0.143123i
\(601\) 12.1543i 0.495782i −0.968788 0.247891i \(-0.920262\pi\)
0.968788 0.247891i \(-0.0797375\pi\)
\(602\) 13.2829 10.2809i 0.541373 0.419016i
\(603\) 19.5570 19.5570i 0.796422 0.796422i
\(604\) 2.40672 4.16857i 0.0979282 0.169617i
\(605\) 23.5923 6.95742i 0.959161 0.282859i
\(606\) −7.23486 12.5311i −0.293896 0.509043i
\(607\) 9.78442 + 36.5159i 0.397137 + 1.48214i 0.818109 + 0.575063i \(0.195022\pi\)
−0.420972 + 0.907074i \(0.638311\pi\)
\(608\) 2.31514 2.31514i 0.0938914 0.0938914i
\(609\) 2.10379 + 1.60037i 0.0852501 + 0.0648504i
\(610\) −1.31967 + 1.10448i −0.0534317 + 0.0447190i
\(611\) −28.8315 16.6459i −1.16640 0.673420i
\(612\) −11.9731 3.20820i −0.483986 0.129684i
\(613\) 1.95910 7.31144i 0.0791271 0.295306i −0.915010 0.403431i \(-0.867818\pi\)
0.994137 + 0.108124i \(0.0344844\pi\)
\(614\) 3.08588 + 1.78163i 0.124536 + 0.0719009i
\(615\) −14.2367 + 11.9152i −0.574080 + 0.480469i
\(616\) −5.81546 + 6.57118i −0.234312 + 0.264760i
\(617\) −33.2565 33.2565i −1.33885 1.33885i −0.897170 0.441685i \(-0.854381\pi\)
−0.441685 0.897170i \(-0.645619\pi\)
\(618\) −9.04992 + 2.42492i −0.364041 + 0.0975446i
\(619\) −0.784667 + 0.453028i −0.0315384 + 0.0182087i −0.515686 0.856777i \(-0.672463\pi\)
0.484148 + 0.874986i \(0.339130\pi\)
\(620\) 1.36952 + 2.94672i 0.0550013 + 0.118343i
\(621\) −13.6093 + 23.5719i −0.546121 + 0.945909i
\(622\) −1.84499 + 1.84499i −0.0739772 + 0.0739772i
\(623\) −2.37608 3.06992i −0.0951958 0.122994i
\(624\) 2.75425 0.110258
\(625\) −19.2325 + 15.9722i −0.769301 + 0.638886i
\(626\) −14.9462 + 8.62918i −0.597369 + 0.344891i
\(627\) 9.40367 + 3.28357i 0.375546 + 0.131133i
\(628\) 5.43933 + 20.2999i 0.217053 + 0.810053i
\(629\) −32.8575 −1.31012
\(630\) 12.1684 3.87564i 0.484801 0.154409i
\(631\) 15.1409 0.602750 0.301375 0.953506i \(-0.402554\pi\)
0.301375 + 0.953506i \(0.402554\pi\)
\(632\) −8.78101 + 2.35286i −0.349290 + 0.0935919i
\(633\) −4.40576 + 16.4425i −0.175113 + 0.653531i
\(634\) −11.8160 20.4659i −0.469273 0.812805i
\(635\) −36.4073 + 6.37190i −1.44478 + 0.252861i
\(636\) −4.04948 −0.160572
\(637\) −0.175700 21.0182i −0.00696148 0.832770i
\(638\) −2.73662 + 2.35818i −0.108344 + 0.0933611i
\(639\) 16.5176 + 9.53645i 0.653427 + 0.377256i
\(640\) −2.10024 0.767449i −0.0830194 0.0303361i
\(641\) −22.3020 38.6281i −0.880875 1.52572i −0.850370 0.526185i \(-0.823622\pi\)
−0.0305051 0.999535i \(-0.509712\pi\)
\(642\) 1.20615 0.323188i 0.0476031 0.0127552i
\(643\) −24.5566 + 24.5566i −0.968416 + 0.968416i −0.999516 0.0311001i \(-0.990099\pi\)
0.0311001 + 0.999516i \(0.490099\pi\)
\(644\) −5.88280 14.0361i −0.231815 0.553100i
\(645\) −1.15136 + 12.9703i −0.0453347 + 0.510704i
\(646\) −16.2820 9.40041i −0.640606 0.369854i
\(647\) −1.10228 + 4.11378i −0.0433353 + 0.161730i −0.984203 0.177046i \(-0.943346\pi\)
0.940867 + 0.338775i \(0.110013\pi\)
\(648\) −0.552748 + 2.06288i −0.0217140 + 0.0810377i
\(649\) −16.3816 11.1531i −0.643036 0.437797i
\(650\) −14.7787 2.64463i −0.579670 0.103731i
\(651\) 0.445700 3.49836i 0.0174684 0.137111i
\(652\) −16.4221 16.4221i −0.643138 0.643138i
\(653\) 0.231283 + 0.863158i 0.00905079 + 0.0337780i 0.970304 0.241890i \(-0.0777675\pi\)
−0.961253 + 0.275668i \(0.911101\pi\)
\(654\) 6.70912 3.87351i 0.262348 0.151466i
\(655\) 14.1714 + 30.4917i 0.553722 + 1.19141i
\(656\) 7.83878 + 4.52572i 0.306053 + 0.176700i
\(657\) −8.13880 + 8.13880i −0.317525 + 0.317525i
\(658\) −3.95040 29.0669i −0.154002 1.13315i
\(659\) 8.11199 0.315998 0.157999 0.987439i \(-0.449496\pi\)
0.157999 + 0.987439i \(0.449496\pi\)
\(660\) −0.673155 6.76917i −0.0262025 0.263489i
\(661\) 9.93281 + 17.2041i 0.386342 + 0.669163i 0.991954 0.126596i \(-0.0404053\pi\)
−0.605613 + 0.795759i \(0.707072\pi\)
\(662\) 27.3082 + 7.31721i 1.06136 + 0.284391i
\(663\) −4.09339 15.2767i −0.158974 0.593300i
\(664\) 14.0649i 0.545825i
\(665\) 19.3489 0.901193i 0.750318 0.0349468i
\(666\) 12.3518i 0.478623i
\(667\) −1.62161 6.05191i −0.0627888 0.234331i
\(668\) 4.40404 16.4361i 0.170397 0.635932i
\(669\) 1.24835 0.720734i 0.0482639 0.0278652i
\(670\) −23.4476 16.4627i −0.905861 0.636008i
\(671\) −0.189076 + 2.54545i −0.00729921 + 0.0982659i
\(672\) 1.48540 + 1.91914i 0.0573004 + 0.0740326i
\(673\) −14.7056 14.7056i −0.566858 0.566858i 0.364389 0.931247i \(-0.381278\pi\)
−0.931247 + 0.364389i \(0.881278\pi\)
\(674\) −20.8526 12.0392i −0.803211 0.463734i
\(675\) −10.0532 + 21.4168i −0.386947 + 0.824335i
\(676\) 1.99189 + 3.45006i 0.0766113 + 0.132695i
\(677\) 2.43383 + 9.08316i 0.0935395 + 0.349094i 0.996794 0.0800111i \(-0.0254956\pi\)
−0.903254 + 0.429105i \(0.858829\pi\)
\(678\) 0.154667 + 0.154667i 0.00593995 + 0.00593995i
\(679\) 11.2283 + 26.7902i 0.430902 + 1.02811i
\(680\) −1.13534 + 12.7898i −0.0435383 + 0.490468i
\(681\) 17.7970 + 10.2751i 0.681981 + 0.393742i
\(682\) 4.55025 + 1.58885i 0.174238 + 0.0608403i
\(683\) −0.598423 0.160347i −0.0228980 0.00613551i 0.247352 0.968926i \(-0.420440\pi\)
−0.270250 + 0.962790i \(0.587106\pi\)
\(684\) −3.53381 + 6.12074i −0.135119 + 0.234032i
\(685\) −6.67752 + 5.58866i −0.255135 + 0.213532i
\(686\) 14.5506 11.4578i 0.555544 0.437459i
\(687\) 0.227968 + 0.227968i 0.00869752 + 0.00869752i
\(688\) 6.13227 1.64314i 0.233791 0.0626440i
\(689\) 6.62812 + 11.4802i 0.252511 + 0.437362i
\(690\) 11.0815 + 4.04929i 0.421866 + 0.154154i
\(691\) 18.6737 32.3437i 0.710379 1.23041i −0.254335 0.967116i \(-0.581857\pi\)
0.964715 0.263297i \(-0.0848100\pi\)
\(692\) −4.71792 + 4.71792i −0.179348 + 0.179348i
\(693\) 8.45444 16.9506i 0.321158 0.643899i
\(694\) 0.882186i 0.0334873i
\(695\) 2.16039 + 1.51681i 0.0819482 + 0.0575360i
\(696\) 0.499541 + 0.865230i 0.0189350 + 0.0327965i
\(697\) 13.4524 50.2049i 0.509544 1.90164i
\(698\) −0.0830933 0.310108i −0.00314513 0.0117378i
\(699\) 20.3884 0.771161
\(700\) −6.12758 11.7240i −0.231601 0.443127i
\(701\) 13.7055i 0.517649i 0.965924 + 0.258825i \(0.0833352\pi\)
−0.965924 + 0.258825i \(0.916665\pi\)
\(702\) −13.7240 + 3.67734i −0.517980 + 0.138792i
\(703\) −4.84886 + 18.0962i −0.182878 + 0.682510i
\(704\) −2.98723 + 1.44099i −0.112586 + 0.0543093i
\(705\) 18.6113 + 13.0671i 0.700944 + 0.492134i
\(706\) 27.3006i 1.02747i
\(707\) −41.3565 + 5.62064i −1.55537 + 0.211386i
\(708\) −3.87558 + 3.87558i −0.145653 + 0.145653i
\(709\) 32.7487 + 18.9075i 1.22990 + 0.710086i 0.967010 0.254739i \(-0.0819895\pi\)
0.262895 + 0.964825i \(0.415323\pi\)
\(710\) 6.78088 18.5569i 0.254482 0.696429i
\(711\) 16.9946 9.81185i 0.637348 0.367973i
\(712\) −0.379758 1.41727i −0.0142320 0.0531146i
\(713\) −5.91078 + 5.91078i −0.221360 + 0.221360i
\(714\) 8.43714 11.0912i 0.315752 0.415077i
\(715\) −18.0887 + 12.9881i −0.676480 + 0.485726i
\(716\) −1.97740 + 3.42495i −0.0738987 + 0.127996i
\(717\) −15.1062 4.04769i −0.564151 0.151164i
\(718\) 16.4047 + 4.39562i 0.612217 + 0.164043i
\(719\) −16.0392 9.26024i −0.598161 0.345349i 0.170157 0.985417i \(-0.445573\pi\)
−0.768318 + 0.640068i \(0.778906\pi\)
\(720\) 4.80796 + 0.426798i 0.179182 + 0.0159058i
\(721\) −3.41540 + 26.8079i −0.127196 + 0.998379i
\(722\) 5.85501 5.85501i 0.217901 0.217901i
\(723\) 3.80310 1.01904i 0.141439 0.0378985i
\(724\) 13.4934 7.79043i 0.501479 0.289529i
\(725\) −1.84964 5.12231i −0.0686940 0.190238i
\(726\) −7.89678 6.28055i −0.293077 0.233093i
\(727\) −24.5333 24.5333i −0.909888 0.909888i 0.0863743 0.996263i \(-0.472472\pi\)
−0.996263 + 0.0863743i \(0.972472\pi\)
\(728\) 3.00949 7.35231i 0.111539 0.272495i
\(729\) 8.41070i 0.311507i
\(730\) 9.75793 + 6.85107i 0.361157 + 0.253569i
\(731\) −18.2277 31.5713i −0.674176 1.16771i
\(732\) 0.681863 + 0.182705i 0.0252024 + 0.00675296i
\(733\) −28.6944 + 7.68865i −1.05985 + 0.283987i −0.746318 0.665590i \(-0.768180\pi\)
−0.313535 + 0.949577i \(0.601513\pi\)
\(734\) 9.62637 0.355316
\(735\) −1.14991 + 14.3112i −0.0424149 + 0.527877i
\(736\) 5.75226i 0.212031i
\(737\) −41.7485 + 7.92760i −1.53783 + 0.292017i
\(738\) −18.8730 5.05702i −0.694726 0.186151i
\(739\) −25.2623 43.7556i −0.929289 1.60958i −0.784514 0.620111i \(-0.787088\pi\)
−0.144775 0.989465i \(-0.546246\pi\)
\(740\) 12.6033 2.20579i 0.463306 0.0810866i
\(741\) −9.01769 −0.331273
\(742\) −4.42475 + 10.8099i −0.162438 + 0.396842i
\(743\) 21.7343 + 21.7343i 0.797352 + 0.797352i 0.982677 0.185325i \(-0.0593338\pi\)
−0.185325 + 0.982677i \(0.559334\pi\)
\(744\) 0.666471 1.15436i 0.0244340 0.0423210i
\(745\) 33.9138 15.7619i 1.24251 0.577470i
\(746\) −12.5746 21.7799i −0.460390 0.797418i
\(747\) 7.85804 + 29.3266i 0.287511 + 1.07300i
\(748\) 12.4323 + 14.4274i 0.454569 + 0.527518i
\(749\) 0.455198 3.57290i 0.0166326 0.130551i
\(750\) 9.89561 + 2.69199i 0.361337 + 0.0982975i
\(751\) 8.60341 14.9015i 0.313943 0.543765i −0.665269 0.746604i \(-0.731683\pi\)
0.979212 + 0.202838i \(0.0650166\pi\)
\(752\) 2.86959 10.7095i 0.104643 0.390534i
\(753\) −9.27337 2.48479i −0.337940 0.0905509i
\(754\) 1.63528 2.83239i 0.0595534 0.103150i
\(755\) 10.7210 + 0.951696i 0.390179 + 0.0346358i
\(756\) −9.96388 7.57960i −0.362383 0.275667i
\(757\) −1.35037 1.35037i −0.0490799 0.0490799i 0.682141 0.731221i \(-0.261049\pi\)
−0.731221 + 0.682141i \(0.761049\pi\)
\(758\) 12.3491 3.30894i 0.448541 0.120186i
\(759\) 15.7615 7.60309i 0.572107 0.275975i
\(760\) 6.87642 + 2.51271i 0.249434 + 0.0911455i
\(761\) 43.5223 + 25.1276i 1.57768 + 0.910876i 0.995182 + 0.0980462i \(0.0312593\pi\)
0.582501 + 0.812830i \(0.302074\pi\)
\(762\) 10.7209 + 10.7209i 0.388377 + 0.388377i
\(763\) −3.00927 22.1421i −0.108943 0.801599i
\(764\) 3.29367i 0.119161i
\(765\) −4.77836 27.3022i −0.172762 0.987114i
\(766\) 4.10799 2.37175i 0.148428 0.0856948i
\(767\) 17.3307 + 4.64376i 0.625777 + 0.167676i
\(768\) 0.237403 + 0.886001i 0.00856656 + 0.0319708i
\(769\) −22.1044 −0.797106 −0.398553 0.917145i \(-0.630488\pi\)
−0.398553 + 0.917145i \(0.630488\pi\)
\(770\) −18.8055 5.59953i −0.677702 0.201793i
\(771\) 11.2599 0.405515
\(772\) −3.92901 14.6633i −0.141408 0.527743i
\(773\) 27.2093 + 7.29071i 0.978651 + 0.262229i 0.712476 0.701696i \(-0.247574\pi\)
0.266174 +