Properties

Label 74.2.h.a.67.1
Level $74$
Weight $2$
Character 74.67
Analytic conductor $0.591$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 74 = 2 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 74.h (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.590892974957\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{18})\)
Coefficient field: \(\Q(\zeta_{36})\)
Defining polynomial: \( x^{12} - x^{6} + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 67.1
Root \(-0.342020 - 0.939693i\) of defining polynomial
Character \(\chi\) \(=\) 74.67
Dual form 74.2.h.a.21.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.342020 - 0.939693i) q^{2} +(0.326352 + 0.118782i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(2.57176 - 0.453471i) q^{5} -0.347296i q^{6} +(-0.361075 - 2.04776i) q^{7} +(0.866025 + 0.500000i) q^{8} +(-2.20574 - 1.85083i) q^{9} +O(q^{10})\) \(q+(-0.342020 - 0.939693i) q^{2} +(0.326352 + 0.118782i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(2.57176 - 0.453471i) q^{5} -0.347296i q^{6} +(-0.361075 - 2.04776i) q^{7} +(0.866025 + 0.500000i) q^{8} +(-2.20574 - 1.85083i) q^{9} +(-1.30572 - 2.26157i) q^{10} +(-2.99810 + 5.19285i) q^{11} +(-0.326352 + 0.118782i) q^{12} +(2.64632 + 3.15377i) q^{13} +(-1.80077 + 1.03967i) q^{14} +(0.893164 + 0.157489i) q^{15} +(0.173648 - 0.984808i) q^{16} +(-0.618710 + 0.737350i) q^{17} +(-0.984808 + 2.70574i) q^{18} +(0.534946 - 1.46975i) q^{19} +(-1.67860 + 2.00048i) q^{20} +(0.125400 - 0.711179i) q^{21} +(5.90509 + 1.04123i) q^{22} +(-5.51705 + 3.18527i) q^{23} +(0.223238 + 0.266044i) q^{24} +(1.70986 - 0.622339i) q^{25} +(2.05847 - 3.56538i) q^{26} +(-1.02094 - 1.76833i) q^{27} +(1.59287 + 1.33658i) q^{28} +(-3.51193 - 2.02761i) q^{29} +(-0.157489 - 0.893164i) q^{30} -3.39997i q^{31} +(-0.984808 + 0.173648i) q^{32} +(-1.59525 + 1.33858i) q^{33} +(0.904494 + 0.329209i) q^{34} +(-1.85720 - 5.10261i) q^{35} +2.87939 q^{36} +(6.07068 - 0.383130i) q^{37} -1.56408 q^{38} +(0.489021 + 1.34357i) q^{39} +(2.45395 + 0.893164i) q^{40} +(7.94502 - 6.66666i) q^{41} +(-0.711179 + 0.125400i) q^{42} -3.76932i q^{43} +(-1.04123 - 5.90509i) q^{44} +(-6.51193 - 3.75967i) q^{45} +(4.88011 + 4.09490i) q^{46} +(3.08750 + 5.34771i) q^{47} +(0.173648 - 0.300767i) q^{48} +(2.51491 - 0.915354i) q^{49} +(-1.16962 - 1.39389i) q^{50} +(-0.289501 + 0.167144i) q^{51} +(-4.05440 - 0.714901i) q^{52} +(-1.39401 + 7.90585i) q^{53} +(-1.31250 + 1.56418i) q^{54} +(-5.35558 + 14.7143i) q^{55} +(0.711179 - 1.95395i) q^{56} +(0.349161 - 0.416114i) q^{57} +(-0.704183 + 3.99362i) q^{58} +(5.02269 + 0.885636i) q^{59} +(-0.785435 + 0.453471i) q^{60} +(-6.25519 - 7.45465i) q^{61} +(-3.19493 + 1.16286i) q^{62} +(-2.99362 + 5.18510i) q^{63} +(0.500000 + 0.866025i) q^{64} +(8.23586 + 6.91071i) q^{65} +(1.80346 + 1.04123i) q^{66} +(-1.83263 - 10.3934i) q^{67} -0.962542i q^{68} +(-2.17885 + 0.384190i) q^{69} +(-4.15968 + 3.49039i) q^{70} +(-10.1503 - 3.69442i) q^{71} +(-0.984808 - 2.70574i) q^{72} +3.55293 q^{73} +(-2.43632 - 5.57354i) q^{74} +0.631940 q^{75} +(0.534946 + 1.46975i) q^{76} +(11.7162 + 4.26436i) q^{77} +(1.09529 - 0.919059i) q^{78} +(2.51098 - 0.442753i) q^{79} -2.61144i q^{80} +(1.37686 + 7.80856i) q^{81} +(-8.98197 - 5.18574i) q^{82} +(5.29798 + 4.44553i) q^{83} +(0.361075 + 0.625400i) q^{84} +(-1.25681 + 2.17686i) q^{85} +(-3.54200 + 1.28918i) q^{86} +(-0.905280 - 1.07887i) q^{87} +(-5.19285 + 2.99810i) q^{88} +(-16.0165 - 2.82414i) q^{89} +(-1.30572 + 7.40509i) q^{90} +(5.50263 - 6.55778i) q^{91} +(2.17885 - 5.98635i) q^{92} +(0.403856 - 1.10959i) q^{93} +(3.96922 - 4.73033i) q^{94} +(0.709264 - 4.02243i) q^{95} +(-0.342020 - 0.0603074i) q^{96} +(-14.1175 + 8.15074i) q^{97} +(-1.72030 - 2.05018i) q^{98} +(16.2241 - 5.90509i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q + 6 q^{3} - 12 q^{7} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12 q + 6 q^{3} - 12 q^{7} - 6 q^{9} + 6 q^{10} - 6 q^{11} - 6 q^{12} + 6 q^{13} - 18 q^{14} - 18 q^{19} - 6 q^{21} - 18 q^{25} + 12 q^{26} - 6 q^{27} - 6 q^{28} + 18 q^{29} + 24 q^{30} - 6 q^{33} + 12 q^{34} + 18 q^{35} + 12 q^{36} + 30 q^{37} - 24 q^{38} + 30 q^{39} + 12 q^{40} + 24 q^{41} + 6 q^{44} - 18 q^{45} + 30 q^{46} + 6 q^{47} + 12 q^{49} - 36 q^{50} - 12 q^{52} - 12 q^{53} - 18 q^{55} - 36 q^{57} + 6 q^{58} - 36 q^{61} - 6 q^{63} + 6 q^{64} + 36 q^{65} - 30 q^{67} - 18 q^{69} - 12 q^{70} + 12 q^{71} - 48 q^{74} - 36 q^{75} - 18 q^{76} + 12 q^{77} - 6 q^{78} + 6 q^{79} + 24 q^{81} - 48 q^{83} + 12 q^{84} + 18 q^{85} - 36 q^{86} + 36 q^{87} - 36 q^{88} - 18 q^{89} + 6 q^{90} - 6 q^{91} + 18 q^{92} - 12 q^{93} + 36 q^{97} + 36 q^{98} + 30 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.342020 0.939693i −0.241845 0.664463i
\(3\) 0.326352 + 0.118782i 0.188419 + 0.0685790i 0.434507 0.900669i \(-0.356923\pi\)
−0.246087 + 0.969248i \(0.579145\pi\)
\(4\) −0.766044 + 0.642788i −0.383022 + 0.321394i
\(5\) 2.57176 0.453471i 1.15013 0.202798i 0.434096 0.900867i \(-0.357068\pi\)
0.716031 + 0.698068i \(0.245957\pi\)
\(6\) 0.347296i 0.141783i
\(7\) −0.361075 2.04776i −0.136473 0.773979i −0.973822 0.227311i \(-0.927007\pi\)
0.837349 0.546669i \(-0.184104\pi\)
\(8\) 0.866025 + 0.500000i 0.306186 + 0.176777i
\(9\) −2.20574 1.85083i −0.735246 0.616944i
\(10\) −1.30572 2.26157i −0.412904 0.715171i
\(11\) −2.99810 + 5.19285i −0.903960 + 1.56570i −0.0816522 + 0.996661i \(0.526020\pi\)
−0.822308 + 0.569043i \(0.807314\pi\)
\(12\) −0.326352 + 0.118782i −0.0942097 + 0.0342895i
\(13\) 2.64632 + 3.15377i 0.733958 + 0.874697i 0.995907 0.0903843i \(-0.0288095\pi\)
−0.261949 + 0.965082i \(0.584365\pi\)
\(14\) −1.80077 + 1.03967i −0.481275 + 0.277864i
\(15\) 0.893164 + 0.157489i 0.230614 + 0.0406634i
\(16\) 0.173648 0.984808i 0.0434120 0.246202i
\(17\) −0.618710 + 0.737350i −0.150059 + 0.178834i −0.835838 0.548977i \(-0.815018\pi\)
0.685778 + 0.727810i \(0.259462\pi\)
\(18\) −0.984808 + 2.70574i −0.232121 + 0.637748i
\(19\) 0.534946 1.46975i 0.122725 0.337184i −0.863083 0.505063i \(-0.831469\pi\)
0.985808 + 0.167878i \(0.0536916\pi\)
\(20\) −1.67860 + 2.00048i −0.375346 + 0.447320i
\(21\) 0.125400 0.711179i 0.0273645 0.155192i
\(22\) 5.90509 + 1.04123i 1.25897 + 0.221990i
\(23\) −5.51705 + 3.18527i −1.15038 + 0.664174i −0.948981 0.315334i \(-0.897883\pi\)
−0.201403 + 0.979508i \(0.564550\pi\)
\(24\) 0.223238 + 0.266044i 0.0455682 + 0.0543061i
\(25\) 1.70986 0.622339i 0.341973 0.124468i
\(26\) 2.05847 3.56538i 0.403700 0.699229i
\(27\) −1.02094 1.76833i −0.196481 0.340315i
\(28\) 1.59287 + 1.33658i 0.301025 + 0.252590i
\(29\) −3.51193 2.02761i −0.652149 0.376519i 0.137130 0.990553i \(-0.456212\pi\)
−0.789279 + 0.614035i \(0.789546\pi\)
\(30\) −0.157489 0.893164i −0.0287534 0.163069i
\(31\) 3.39997i 0.610653i −0.952248 0.305326i \(-0.901234\pi\)
0.952248 0.305326i \(-0.0987655\pi\)
\(32\) −0.984808 + 0.173648i −0.174091 + 0.0306970i
\(33\) −1.59525 + 1.33858i −0.277698 + 0.233016i
\(34\) 0.904494 + 0.329209i 0.155119 + 0.0564588i
\(35\) −1.85720 5.10261i −0.313924 0.862498i
\(36\) 2.87939 0.479898
\(37\) 6.07068 0.383130i 0.998014 0.0629862i
\(38\) −1.56408 −0.253727
\(39\) 0.489021 + 1.34357i 0.0783060 + 0.215144i
\(40\) 2.45395 + 0.893164i 0.388003 + 0.141222i
\(41\) 7.94502 6.66666i 1.24080 1.04116i 0.243343 0.969940i \(-0.421756\pi\)
0.997461 0.0712179i \(-0.0226886\pi\)
\(42\) −0.711179 + 0.125400i −0.109737 + 0.0193496i
\(43\) 3.76932i 0.574816i −0.957808 0.287408i \(-0.907206\pi\)
0.957808 0.287408i \(-0.0927936\pi\)
\(44\) −1.04123 5.90509i −0.156971 0.890227i
\(45\) −6.51193 3.75967i −0.970741 0.560458i
\(46\) 4.88011 + 4.09490i 0.719534 + 0.603760i
\(47\) 3.08750 + 5.34771i 0.450359 + 0.780044i 0.998408 0.0564019i \(-0.0179628\pi\)
−0.548050 + 0.836446i \(0.684629\pi\)
\(48\) 0.173648 0.300767i 0.0250640 0.0434120i
\(49\) 2.51491 0.915354i 0.359273 0.130765i
\(50\) −1.16962 1.39389i −0.165409 0.197126i
\(51\) −0.289501 + 0.167144i −0.0405383 + 0.0234048i
\(52\) −4.05440 0.714901i −0.562245 0.0991389i
\(53\) −1.39401 + 7.90585i −0.191483 + 1.08595i 0.725857 + 0.687846i \(0.241444\pi\)
−0.917339 + 0.398106i \(0.869668\pi\)
\(54\) −1.31250 + 1.56418i −0.178609 + 0.212858i
\(55\) −5.35558 + 14.7143i −0.722146 + 1.98408i
\(56\) 0.711179 1.95395i 0.0950352 0.261107i
\(57\) 0.349161 0.416114i 0.0462475 0.0551156i
\(58\) −0.704183 + 3.99362i −0.0924638 + 0.524388i
\(59\) 5.02269 + 0.885636i 0.653899 + 0.115300i 0.490749 0.871301i \(-0.336723\pi\)
0.163150 + 0.986601i \(0.447834\pi\)
\(60\) −0.785435 + 0.453471i −0.101399 + 0.0585429i
\(61\) −6.25519 7.45465i −0.800895 0.954470i 0.198778 0.980045i \(-0.436303\pi\)
−0.999673 + 0.0255750i \(0.991858\pi\)
\(62\) −3.19493 + 1.16286i −0.405756 + 0.147683i
\(63\) −2.99362 + 5.18510i −0.377161 + 0.653262i
\(64\) 0.500000 + 0.866025i 0.0625000 + 0.108253i
\(65\) 8.23586 + 6.91071i 1.02153 + 0.857168i
\(66\) 1.80346 + 1.04123i 0.221990 + 0.128166i
\(67\) −1.83263 10.3934i −0.223892 1.26975i −0.864792 0.502130i \(-0.832550\pi\)
0.640901 0.767624i \(-0.278561\pi\)
\(68\) 0.962542i 0.116725i
\(69\) −2.17885 + 0.384190i −0.262303 + 0.0462511i
\(70\) −4.15968 + 3.49039i −0.497177 + 0.417181i
\(71\) −10.1503 3.69442i −1.20462 0.438447i −0.339787 0.940502i \(-0.610355\pi\)
−0.864835 + 0.502056i \(0.832577\pi\)
\(72\) −0.984808 2.70574i −0.116061 0.318874i
\(73\) 3.55293 0.415839 0.207920 0.978146i \(-0.433331\pi\)
0.207920 + 0.978146i \(0.433331\pi\)
\(74\) −2.43632 5.57354i −0.283217 0.647911i
\(75\) 0.631940 0.0729701
\(76\) 0.534946 + 1.46975i 0.0613625 + 0.168592i
\(77\) 11.7162 + 4.26436i 1.33519 + 0.485969i
\(78\) 1.09529 0.919059i 0.124017 0.104063i
\(79\) 2.51098 0.442753i 0.282507 0.0498136i −0.0305991 0.999532i \(-0.509742\pi\)
0.313106 + 0.949718i \(0.398630\pi\)
\(80\) 2.61144i 0.291967i
\(81\) 1.37686 + 7.80856i 0.152984 + 0.867617i
\(82\) −8.98197 5.18574i −0.991893 0.572670i
\(83\) 5.29798 + 4.44553i 0.581529 + 0.487960i 0.885449 0.464737i \(-0.153851\pi\)
−0.303920 + 0.952698i \(0.598296\pi\)
\(84\) 0.361075 + 0.625400i 0.0393965 + 0.0682367i
\(85\) −1.25681 + 2.17686i −0.136320 + 0.236113i
\(86\) −3.54200 + 1.28918i −0.381944 + 0.139016i
\(87\) −0.905280 1.07887i −0.0970562 0.115667i
\(88\) −5.19285 + 2.99810i −0.553560 + 0.319598i
\(89\) −16.0165 2.82414i −1.69774 0.299358i −0.760838 0.648942i \(-0.775212\pi\)
−0.936905 + 0.349584i \(0.886323\pi\)
\(90\) −1.30572 + 7.40509i −0.137635 + 0.780566i
\(91\) 5.50263 6.55778i 0.576832 0.687442i
\(92\) 2.17885 5.98635i 0.227161 0.624120i
\(93\) 0.403856 1.10959i 0.0418780 0.115059i
\(94\) 3.96922 4.73033i 0.409394 0.487896i
\(95\) 0.709264 4.02243i 0.0727689 0.412693i
\(96\) −0.342020 0.0603074i −0.0349073 0.00615510i
\(97\) −14.1175 + 8.15074i −1.43342 + 0.827583i −0.997380 0.0723469i \(-0.976951\pi\)
−0.436036 + 0.899929i \(0.643618\pi\)
\(98\) −1.72030 2.05018i −0.173777 0.207099i
\(99\) 16.2241 5.90509i 1.63058 0.593484i
\(100\) −0.909799 + 1.57582i −0.0909799 + 0.157582i
\(101\) −2.05124 3.55285i −0.204106 0.353521i 0.745742 0.666235i \(-0.232095\pi\)
−0.949847 + 0.312714i \(0.898762\pi\)
\(102\) 0.256079 + 0.214876i 0.0253556 + 0.0212759i
\(103\) 9.35250 + 5.39967i 0.921530 + 0.532045i 0.884123 0.467255i \(-0.154757\pi\)
0.0374069 + 0.999300i \(0.488090\pi\)
\(104\) 0.714901 + 4.05440i 0.0701018 + 0.397567i
\(105\) 1.88585i 0.184040i
\(106\) 7.90585 1.39401i 0.767884 0.135399i
\(107\) 15.5549 13.0521i 1.50375 1.26180i 0.628823 0.777549i \(-0.283537\pi\)
0.874930 0.484249i \(-0.160907\pi\)
\(108\) 1.91875 + 0.698367i 0.184632 + 0.0672004i
\(109\) 2.13072 + 5.85411i 0.204086 + 0.560722i 0.998938 0.0460817i \(-0.0146734\pi\)
−0.794851 + 0.606804i \(0.792451\pi\)
\(110\) 15.6587 1.49300
\(111\) 2.02669 + 0.596055i 0.192365 + 0.0565750i
\(112\) −2.07935 −0.196480
\(113\) 2.09726 + 5.76217i 0.197294 + 0.542059i 0.998405 0.0564555i \(-0.0179799\pi\)
−0.801112 + 0.598515i \(0.795758\pi\)
\(114\) −0.510439 0.185785i −0.0478070 0.0174003i
\(115\) −12.7441 + 10.6936i −1.18839 + 0.997181i
\(116\) 3.99362 0.704183i 0.370798 0.0653818i
\(117\) 11.8543i 1.09593i
\(118\) −0.885636 5.02269i −0.0815294 0.462376i
\(119\) 1.73331 + 1.00073i 0.158893 + 0.0917367i
\(120\) 0.694758 + 0.582971i 0.0634224 + 0.0532177i
\(121\) −12.4772 21.6111i −1.13429 1.96464i
\(122\) −4.86567 + 8.42760i −0.440517 + 0.762999i
\(123\) 3.38475 1.23195i 0.305193 0.111081i
\(124\) 2.18546 + 2.60453i 0.196260 + 0.233893i
\(125\) −7.19270 + 4.15271i −0.643335 + 0.371429i
\(126\) 5.89628 + 1.03967i 0.525283 + 0.0926215i
\(127\) −1.10807 + 6.28420i −0.0983257 + 0.557633i 0.895352 + 0.445360i \(0.146924\pi\)
−0.993677 + 0.112273i \(0.964187\pi\)
\(128\) 0.642788 0.766044i 0.0568149 0.0677094i
\(129\) 0.447729 1.23013i 0.0394203 0.108307i
\(130\) 3.67711 10.1028i 0.322504 0.886072i
\(131\) 6.71929 8.00774i 0.587067 0.699640i −0.387972 0.921671i \(-0.626824\pi\)
0.975039 + 0.222032i \(0.0712688\pi\)
\(132\) 0.361615 2.05082i 0.0314745 0.178501i
\(133\) −3.20285 0.564749i −0.277722 0.0489699i
\(134\) −9.13979 + 5.27686i −0.789557 + 0.455851i
\(135\) −3.42751 4.08475i −0.294993 0.351559i
\(136\) −0.904494 + 0.329209i −0.0775597 + 0.0282294i
\(137\) −3.12091 + 5.40557i −0.266637 + 0.461829i −0.967991 0.250984i \(-0.919246\pi\)
0.701354 + 0.712813i \(0.252579\pi\)
\(138\) 1.10623 + 1.91605i 0.0941687 + 0.163105i
\(139\) 5.27989 + 4.43035i 0.447834 + 0.375778i 0.838632 0.544699i \(-0.183356\pi\)
−0.390797 + 0.920477i \(0.627801\pi\)
\(140\) 4.70259 + 2.71504i 0.397441 + 0.229463i
\(141\) 0.372398 + 2.11198i 0.0313616 + 0.177861i
\(142\) 10.8018i 0.906463i
\(143\) −24.3110 + 4.28668i −2.03299 + 0.358470i
\(144\) −2.20574 + 1.85083i −0.183811 + 0.154236i
\(145\) −9.95132 3.62198i −0.826412 0.300789i
\(146\) −1.21517 3.33866i −0.100569 0.276310i
\(147\) 0.929475 0.0766618
\(148\) −4.40414 + 4.19566i −0.362018 + 0.344881i
\(149\) 3.49508 0.286328 0.143164 0.989699i \(-0.454272\pi\)
0.143164 + 0.989699i \(0.454272\pi\)
\(150\) −0.216136 0.593829i −0.0176474 0.0484860i
\(151\) 8.84115 + 3.21791i 0.719482 + 0.261870i 0.675706 0.737171i \(-0.263839\pi\)
0.0437763 + 0.999041i \(0.486061\pi\)
\(152\) 1.19815 1.00537i 0.0971830 0.0815462i
\(153\) 2.72942 0.481271i 0.220661 0.0389085i
\(154\) 12.4682i 1.00471i
\(155\) −1.54179 8.74391i −0.123839 0.702328i
\(156\) −1.23824 0.714901i −0.0991389 0.0572379i
\(157\) 1.94170 + 1.62928i 0.154964 + 0.130030i 0.716973 0.697101i \(-0.245527\pi\)
−0.562009 + 0.827131i \(0.689971\pi\)
\(158\) −1.27486 2.20812i −0.101422 0.175668i
\(159\) −1.39401 + 2.41450i −0.110553 + 0.191483i
\(160\) −2.45395 + 0.893164i −0.194002 + 0.0706108i
\(161\) 8.51472 + 10.1475i 0.671054 + 0.799731i
\(162\) 6.86673 3.96451i 0.539501 0.311481i
\(163\) −9.23549 1.62847i −0.723379 0.127551i −0.200177 0.979760i \(-0.564152\pi\)
−0.523202 + 0.852208i \(0.675263\pi\)
\(164\) −1.80099 + 10.2139i −0.140634 + 0.797573i
\(165\) −3.49561 + 4.16590i −0.272133 + 0.324315i
\(166\) 2.36542 6.49893i 0.183592 0.504415i
\(167\) −3.56469 + 9.79392i −0.275844 + 0.757876i 0.721978 + 0.691916i \(0.243233\pi\)
−0.997822 + 0.0659599i \(0.978989\pi\)
\(168\) 0.464189 0.553199i 0.0358129 0.0426802i
\(169\) −0.685785 + 3.88928i −0.0527527 + 0.299175i
\(170\) 2.47543 + 0.436485i 0.189857 + 0.0334769i
\(171\) −3.90021 + 2.25179i −0.298257 + 0.172199i
\(172\) 2.42287 + 2.88747i 0.184742 + 0.220167i
\(173\) −2.75312 + 1.00205i −0.209316 + 0.0761846i −0.444550 0.895754i \(-0.646636\pi\)
0.235234 + 0.971939i \(0.424414\pi\)
\(174\) −0.704183 + 1.21968i −0.0533840 + 0.0924638i
\(175\) −1.89179 3.27667i −0.143006 0.247693i
\(176\) 4.59335 + 3.85428i 0.346237 + 0.290527i
\(177\) 1.53397 + 0.885636i 0.115300 + 0.0665685i
\(178\) 2.82414 + 16.0165i 0.211678 + 1.20049i
\(179\) 8.76703i 0.655279i −0.944803 0.327639i \(-0.893747\pi\)
0.944803 0.327639i \(-0.106253\pi\)
\(180\) 7.40509 1.30572i 0.551943 0.0973225i
\(181\) −20.4965 + 17.1986i −1.52349 + 1.27836i −0.693740 + 0.720225i \(0.744038\pi\)
−0.829750 + 0.558135i \(0.811517\pi\)
\(182\) −8.04430 2.92789i −0.596283 0.217029i
\(183\) −1.15591 3.17584i −0.0854475 0.234765i
\(184\) −6.37054 −0.469642
\(185\) 15.4386 3.73820i 1.13507 0.274838i
\(186\) −1.18080 −0.0865802
\(187\) −1.97400 5.42352i −0.144353 0.396607i
\(188\) −5.80261 2.11198i −0.423199 0.154032i
\(189\) −3.25247 + 2.72915i −0.236582 + 0.198516i
\(190\) −4.02243 + 0.709264i −0.291818 + 0.0514554i
\(191\) 1.81758i 0.131515i 0.997836 + 0.0657577i \(0.0209464\pi\)
−0.997836 + 0.0657577i \(0.979054\pi\)
\(192\) 0.0603074 + 0.342020i 0.00435231 + 0.0246832i
\(193\) 0.922363 + 0.532526i 0.0663931 + 0.0383321i 0.532829 0.846223i \(-0.321129\pi\)
−0.466436 + 0.884555i \(0.654462\pi\)
\(194\) 12.4877 + 10.4784i 0.896562 + 0.752305i
\(195\) 1.86692 + 3.23360i 0.133693 + 0.231563i
\(196\) −1.33816 + 2.31776i −0.0955827 + 0.165554i
\(197\) 14.8064 5.38909i 1.05491 0.383957i 0.244398 0.969675i \(-0.421410\pi\)
0.810515 + 0.585718i \(0.199187\pi\)
\(198\) −11.0979 13.2260i −0.788697 0.939932i
\(199\) 17.8722 10.3185i 1.26693 0.731461i 0.292523 0.956259i \(-0.405505\pi\)
0.974406 + 0.224797i \(0.0721719\pi\)
\(200\) 1.79195 + 0.315970i 0.126710 + 0.0223424i
\(201\) 0.636467 3.60958i 0.0448929 0.254600i
\(202\) −2.63702 + 3.14268i −0.185540 + 0.221118i
\(203\) −2.88399 + 7.92370i −0.202417 + 0.556135i
\(204\) 0.114333 0.314127i 0.00800491 0.0219933i
\(205\) 17.4096 20.7479i 1.21594 1.44910i
\(206\) 1.87529 10.6353i 0.130657 0.740995i
\(207\) 18.0646 + 3.18527i 1.25557 + 0.221391i
\(208\) 3.56538 2.05847i 0.247215 0.142730i
\(209\) 6.02839 + 7.18435i 0.416992 + 0.496952i
\(210\) −1.77212 + 0.644998i −0.122288 + 0.0445091i
\(211\) −3.10070 + 5.37057i −0.213461 + 0.369725i −0.952795 0.303613i \(-0.901807\pi\)
0.739335 + 0.673338i \(0.235140\pi\)
\(212\) −4.01391 6.95229i −0.275676 0.477485i
\(213\) −2.87375 2.41136i −0.196906 0.165224i
\(214\) −17.5851 10.1528i −1.20209 0.694029i
\(215\) −1.70928 9.69380i −0.116572 0.661112i
\(216\) 2.04189i 0.138933i
\(217\) −6.96231 + 1.22764i −0.472633 + 0.0833379i
\(218\) 4.77232 4.00445i 0.323222 0.271216i
\(219\) 1.15951 + 0.422026i 0.0783521 + 0.0285178i
\(220\) −5.35558 14.7143i −0.361073 0.992040i
\(221\) −3.96274 −0.266563
\(222\) −0.133060 2.10833i −0.00893039 0.141502i
\(223\) 0.839150 0.0561936 0.0280968 0.999605i \(-0.491055\pi\)
0.0280968 + 0.999605i \(0.491055\pi\)
\(224\) 0.711179 + 1.95395i 0.0475176 + 0.130554i
\(225\) −4.92335 1.79195i −0.328224 0.119464i
\(226\) 4.69737 3.94156i 0.312464 0.262188i
\(227\) 6.42458 1.13283i 0.426415 0.0751884i 0.0436775 0.999046i \(-0.486093\pi\)
0.382737 + 0.923857i \(0.374981\pi\)
\(228\) 0.543198i 0.0359742i
\(229\) 1.14680 + 6.50380i 0.0757824 + 0.429784i 0.998968 + 0.0454281i \(0.0144652\pi\)
−0.923185 + 0.384355i \(0.874424\pi\)
\(230\) 14.4074 + 8.31813i 0.949997 + 0.548481i
\(231\) 3.31709 + 2.78336i 0.218248 + 0.183132i
\(232\) −2.02761 3.51193i −0.133119 0.230570i
\(233\) 11.3047 19.5803i 0.740594 1.28275i −0.211632 0.977349i \(-0.567878\pi\)
0.952225 0.305396i \(-0.0987889\pi\)
\(234\) −11.1394 + 4.05440i −0.728204 + 0.265045i
\(235\) 10.3654 + 12.3530i 0.676161 + 0.805818i
\(236\) −4.41688 + 2.55009i −0.287515 + 0.165997i
\(237\) 0.872054 + 0.153767i 0.0566460 + 0.00998822i
\(238\) 0.347550 1.97105i 0.0225283 0.127764i
\(239\) −11.0221 + 13.1357i −0.712962 + 0.849675i −0.993927 0.110043i \(-0.964901\pi\)
0.280965 + 0.959718i \(0.409346\pi\)
\(240\) 0.310193 0.852247i 0.0200228 0.0550123i
\(241\) 1.94526 5.34455i 0.125305 0.344273i −0.861139 0.508369i \(-0.830249\pi\)
0.986444 + 0.164096i \(0.0524708\pi\)
\(242\) −16.0403 + 19.1161i −1.03111 + 1.22883i
\(243\) −1.54189 + 8.74449i −0.0989122 + 0.560959i
\(244\) 9.58351 + 1.68983i 0.613521 + 0.108180i
\(245\) 6.05267 3.49451i 0.386691 0.223256i
\(246\) −2.31531 2.75928i −0.147619 0.175925i
\(247\) 6.05089 2.20235i 0.385009 0.140132i
\(248\) 1.69998 2.94446i 0.107949 0.186973i
\(249\) 1.20095 + 2.08011i 0.0761074 + 0.131822i
\(250\) 6.36232 + 5.33862i 0.402388 + 0.337644i
\(251\) −21.9528 12.6745i −1.38565 0.800006i −0.392829 0.919611i \(-0.628504\pi\)
−0.992821 + 0.119606i \(0.961837\pi\)
\(252\) −1.03967 5.89628i −0.0654933 0.371431i
\(253\) 38.1990i 2.40155i
\(254\) 6.28420 1.10807i 0.394306 0.0695268i
\(255\) −0.668734 + 0.561134i −0.0418777 + 0.0351396i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) 1.76857 + 4.85911i 0.110320 + 0.303103i 0.982551 0.185991i \(-0.0595496\pi\)
−0.872231 + 0.489094i \(0.837327\pi\)
\(258\) −1.30907 −0.0814993
\(259\) −2.97653 12.2929i −0.184953 0.763847i
\(260\) −10.7512 −0.666758
\(261\) 3.99362 + 10.9724i 0.247199 + 0.679173i
\(262\) −9.82295 3.57526i −0.606864 0.220880i
\(263\) 7.40923 6.21708i 0.456873 0.383362i −0.385106 0.922872i \(-0.625835\pi\)
0.841979 + 0.539511i \(0.181391\pi\)
\(264\) −2.05082 + 0.361615i −0.126219 + 0.0222558i
\(265\) 20.9641i 1.28782i
\(266\) 0.564749 + 3.20285i 0.0346270 + 0.196379i
\(267\) −4.89155 2.82414i −0.299358 0.172834i
\(268\) 8.08462 + 6.78380i 0.493847 + 0.414386i
\(269\) 11.9383 + 20.6777i 0.727889 + 1.26074i 0.957774 + 0.287523i \(0.0928316\pi\)
−0.229885 + 0.973218i \(0.573835\pi\)
\(270\) −2.66613 + 4.61787i −0.162256 + 0.281035i
\(271\) −17.2047 + 6.26199i −1.04511 + 0.380389i −0.806815 0.590804i \(-0.798811\pi\)
−0.238295 + 0.971193i \(0.576589\pi\)
\(272\) 0.618710 + 0.737350i 0.0375148 + 0.0447084i
\(273\) 2.57474 1.48653i 0.155830 0.0899687i
\(274\) 6.14698 + 1.08388i 0.371353 + 0.0654795i
\(275\) −1.89462 + 10.7449i −0.114250 + 0.647942i
\(276\) 1.42214 1.69485i 0.0856030 0.102018i
\(277\) −6.06459 + 16.6623i −0.364386 + 1.00114i 0.613075 + 0.790025i \(0.289932\pi\)
−0.977461 + 0.211117i \(0.932290\pi\)
\(278\) 2.35734 6.47674i 0.141384 0.388449i
\(279\) −6.29278 + 7.49944i −0.376739 + 0.448980i
\(280\) 0.942924 5.34759i 0.0563505 0.319579i
\(281\) −15.0167 2.64786i −0.895824 0.157958i −0.293264 0.956032i \(-0.594741\pi\)
−0.602560 + 0.798074i \(0.705853\pi\)
\(282\) 1.85724 1.07228i 0.110597 0.0638533i
\(283\) 15.7182 + 18.7322i 0.934350 + 1.11351i 0.993336 + 0.115256i \(0.0367689\pi\)
−0.0589858 + 0.998259i \(0.518787\pi\)
\(284\) 10.1503 3.69442i 0.602311 0.219223i
\(285\) 0.709264 1.22848i 0.0420132 0.0727689i
\(286\) 12.3430 + 21.3787i 0.729857 + 1.26415i
\(287\) −16.5205 13.8623i −0.975172 0.818266i
\(288\) 2.49362 + 1.43969i 0.146938 + 0.0848347i
\(289\) 2.79114 + 15.8293i 0.164184 + 0.931136i
\(290\) 10.5900i 0.621864i
\(291\) −5.57544 + 0.983100i −0.326838 + 0.0576303i
\(292\) −2.72170 + 2.28378i −0.159276 + 0.133648i
\(293\) −11.8143 4.30005i −0.690199 0.251212i −0.0269784 0.999636i \(-0.508589\pi\)
−0.663220 + 0.748424i \(0.730811\pi\)
\(294\) −0.317899 0.873420i −0.0185402 0.0509389i
\(295\) 13.3188 0.775450
\(296\) 5.44893 + 2.70354i 0.316713 + 0.157140i
\(297\) 12.2436 0.710443
\(298\) −1.19539 3.28430i −0.0692469 0.190254i
\(299\) −24.6455 8.97022i −1.42529 0.518761i
\(300\) −0.484094 + 0.406203i −0.0279492 + 0.0234521i
\(301\) −7.71866 + 1.36101i −0.444896 + 0.0784472i
\(302\) 9.40855i 0.541401i
\(303\) −0.247409 1.40313i −0.0142133 0.0806076i
\(304\) −1.35453 0.782038i −0.0776876 0.0448530i
\(305\) −19.4673 16.3350i −1.11470 0.935341i
\(306\) −1.38576 2.40021i −0.0792189 0.137211i
\(307\) −4.70103 + 8.14242i −0.268302 + 0.464713i −0.968423 0.249311i \(-0.919796\pi\)
0.700122 + 0.714024i \(0.253129\pi\)
\(308\) −11.7162 + 4.26436i −0.667595 + 0.242985i
\(309\) 2.41082 + 2.87310i 0.137147 + 0.163445i
\(310\) −7.68927 + 4.43940i −0.436721 + 0.252141i
\(311\) −15.8568 2.79599i −0.899158 0.158546i −0.295082 0.955472i \(-0.595347\pi\)
−0.604077 + 0.796926i \(0.706458\pi\)
\(312\) −0.248282 + 1.40808i −0.0140562 + 0.0797168i
\(313\) 0.370220 0.441211i 0.0209261 0.0249387i −0.755480 0.655172i \(-0.772596\pi\)
0.776406 + 0.630233i \(0.217041\pi\)
\(314\) 0.866920 2.38184i 0.0489231 0.134415i
\(315\) −5.34759 + 14.6924i −0.301302 + 0.827822i
\(316\) −1.63893 + 1.95319i −0.0921967 + 0.109876i
\(317\) 2.04083 11.5741i 0.114624 0.650067i −0.872311 0.488951i \(-0.837380\pi\)
0.986935 0.161116i \(-0.0515093\pi\)
\(318\) 2.74567 + 0.484136i 0.153970 + 0.0271490i
\(319\) 21.0582 12.1580i 1.17903 0.680715i
\(320\) 1.67860 + 2.00048i 0.0938365 + 0.111830i
\(321\) 6.62675 2.41194i 0.369869 0.134621i
\(322\) 6.62328 11.4719i 0.369101 0.639302i
\(323\) 0.752745 + 1.30379i 0.0418838 + 0.0725449i
\(324\) −6.07398 5.09667i −0.337443 0.283148i
\(325\) 6.48757 + 3.74560i 0.359865 + 0.207768i
\(326\) 1.62847 + 9.23549i 0.0901924 + 0.511506i
\(327\) 2.16359i 0.119647i
\(328\) 10.2139 1.80099i 0.563970 0.0994430i
\(329\) 9.83600 8.25338i 0.542276 0.455024i
\(330\) 5.11023 + 1.85997i 0.281309 + 0.102388i
\(331\) 4.83530 + 13.2849i 0.265772 + 0.730202i 0.998752 + 0.0499518i \(0.0159068\pi\)
−0.732980 + 0.680250i \(0.761871\pi\)
\(332\) −6.91602 −0.379566
\(333\) −14.0994 10.3907i −0.772645 0.569409i
\(334\) 10.4225 0.570292
\(335\) −9.42620 25.8983i −0.515008 1.41497i
\(336\) −0.678599 0.246990i −0.0370206 0.0134744i
\(337\) 8.21240 6.89102i 0.447358 0.375378i −0.391096 0.920350i \(-0.627904\pi\)
0.838454 + 0.544972i \(0.183460\pi\)
\(338\) 3.88928 0.685785i 0.211549 0.0373018i
\(339\) 2.12961i 0.115665i
\(340\) −0.436485 2.47543i −0.0236717 0.134249i
\(341\) 17.6555 + 10.1934i 0.956101 + 0.552005i
\(342\) 3.44994 + 2.89485i 0.186552 + 0.156535i
\(343\) −10.0602 17.4248i −0.543200 0.940850i
\(344\) 1.88466 3.26433i 0.101614 0.176001i
\(345\) −5.42927 + 1.97609i −0.292302 + 0.106389i
\(346\) 1.88324 + 2.24436i 0.101244 + 0.120658i
\(347\) −6.10989 + 3.52754i −0.327996 + 0.189368i −0.654951 0.755671i \(-0.727311\pi\)
0.326955 + 0.945040i \(0.393977\pi\)
\(348\) 1.38697 + 0.244560i 0.0743494 + 0.0131098i
\(349\) 4.45331 25.2560i 0.238380 1.35192i −0.596996 0.802244i \(-0.703639\pi\)
0.835376 0.549679i \(-0.185250\pi\)
\(350\) −2.43204 + 2.89839i −0.129998 + 0.154925i
\(351\) 2.87514 7.89939i 0.153464 0.421638i
\(352\) 2.05082 5.63458i 0.109309 0.300324i
\(353\) 4.22017 5.02940i 0.224617 0.267688i −0.641953 0.766744i \(-0.721875\pi\)
0.866570 + 0.499056i \(0.166320\pi\)
\(354\) 0.307578 1.74436i 0.0163476 0.0927119i
\(355\) −27.7795 4.89828i −1.47438 0.259974i
\(356\) 14.0847 8.13178i 0.746485 0.430983i
\(357\) 0.446801 + 0.532477i 0.0236472 + 0.0281817i
\(358\) −8.23831 + 2.99850i −0.435408 + 0.158476i
\(359\) −9.92813 + 17.1960i −0.523987 + 0.907572i 0.475623 + 0.879649i \(0.342223\pi\)
−0.999610 + 0.0279226i \(0.991111\pi\)
\(360\) −3.75967 6.51193i −0.198152 0.343209i
\(361\) 12.6808 + 10.6405i 0.667413 + 0.560026i
\(362\) 23.1716 + 13.3781i 1.21787 + 0.703138i
\(363\) −1.50493 8.53487i −0.0789883 0.447965i
\(364\) 8.56057i 0.448696i
\(365\) 9.13730 1.61115i 0.478268 0.0843315i
\(366\) −2.58897 + 2.17240i −0.135328 + 0.113553i
\(367\) 20.2967 + 7.38739i 1.05948 + 0.385619i 0.812233 0.583334i \(-0.198252\pi\)
0.247246 + 0.968953i \(0.420474\pi\)
\(368\) 2.17885 + 5.98635i 0.113581 + 0.312060i
\(369\) −29.8635 −1.55463
\(370\) −8.79308 13.2290i −0.457130 0.687744i
\(371\) 16.6926 0.866637
\(372\) 0.403856 + 1.10959i 0.0209390 + 0.0575294i
\(373\) 29.3944 + 10.6987i 1.52198 + 0.553956i 0.961642 0.274306i \(-0.0884482\pi\)
0.560340 + 0.828263i \(0.310670\pi\)
\(374\) −4.42129 + 3.70990i −0.228619 + 0.191835i
\(375\) −2.84062 + 0.500878i −0.146689 + 0.0258652i
\(376\) 6.17501i 0.318452i
\(377\) −2.89909 16.4415i −0.149311 0.846782i
\(378\) 3.67697 + 2.12290i 0.189123 + 0.109190i
\(379\) −15.3668 12.8943i −0.789339 0.662334i 0.156243 0.987719i \(-0.450062\pi\)
−0.945582 + 0.325384i \(0.894506\pi\)
\(380\) 2.04224 + 3.53727i 0.104765 + 0.181458i
\(381\) −1.10807 + 1.91924i −0.0567684 + 0.0983257i
\(382\) 1.70796 0.621648i 0.0873871 0.0318063i
\(383\) 10.6054 + 12.6391i 0.541913 + 0.645826i 0.965615 0.259975i \(-0.0837143\pi\)
−0.423703 + 0.905801i \(0.639270\pi\)
\(384\) 0.300767 0.173648i 0.0153485 0.00886145i
\(385\) 32.0652 + 5.65395i 1.63419 + 0.288152i
\(386\) 0.184945 1.04887i 0.00941343 0.0533862i
\(387\) −6.97639 + 8.31414i −0.354630 + 0.422631i
\(388\) 5.57544 15.3184i 0.283050 0.777673i
\(389\) 0.282656 0.776592i 0.0143312 0.0393748i −0.932321 0.361632i \(-0.882220\pi\)
0.946652 + 0.322258i \(0.104442\pi\)
\(390\) 2.40006 2.86028i 0.121532 0.144836i
\(391\) 1.06479 6.03875i 0.0538490 0.305393i
\(392\) 2.63566 + 0.464737i 0.133121 + 0.0234728i
\(393\) 3.14403 1.81521i 0.158595 0.0915651i
\(394\) −10.1282 12.0703i −0.510251 0.608093i
\(395\) 6.25687 2.27731i 0.314817 0.114584i
\(396\) −8.63267 + 14.9522i −0.433808 + 0.751378i
\(397\) −4.52451 7.83669i −0.227079 0.393312i 0.729862 0.683594i \(-0.239584\pi\)
−0.956941 + 0.290282i \(0.906251\pi\)
\(398\) −15.8089 13.2653i −0.792429 0.664927i
\(399\) −0.978174 0.564749i −0.0489699 0.0282728i
\(400\) −0.315970 1.79195i −0.0157985 0.0895977i
\(401\) 13.1254i 0.655452i 0.944773 + 0.327726i \(0.106282\pi\)
−0.944773 + 0.327726i \(0.893718\pi\)
\(402\) −3.60958 + 0.636467i −0.180030 + 0.0317441i
\(403\) 10.7227 8.99742i 0.534136 0.448194i
\(404\) 3.85506 + 1.40313i 0.191797 + 0.0698083i
\(405\) 7.08191 + 19.4574i 0.351903 + 0.966845i
\(406\) 8.43223 0.418484
\(407\) −16.2110 + 32.6728i −0.803547 + 1.61953i
\(408\) −0.334287 −0.0165497
\(409\) 2.70223 + 7.42432i 0.133617 + 0.367109i 0.988399 0.151877i \(-0.0485318\pi\)
−0.854783 + 0.518986i \(0.826310\pi\)
\(410\) −25.4511 9.26344i −1.25694 0.457489i
\(411\) −1.66060 + 1.39341i −0.0819113 + 0.0687318i
\(412\) −10.6353 + 1.87529i −0.523962 + 0.0923887i
\(413\) 10.6050i 0.521840i
\(414\) −3.18527 18.0646i −0.156547 0.887824i
\(415\) 15.6411 + 9.03037i 0.767789 + 0.443283i
\(416\) −3.15377 2.64632i −0.154626 0.129747i
\(417\) 1.19685 + 2.07301i 0.0586102 + 0.101516i
\(418\) 4.68925 8.12202i 0.229359 0.397261i
\(419\) 30.0521 10.9381i 1.46814 0.534361i 0.520548 0.853832i \(-0.325728\pi\)
0.947596 + 0.319472i \(0.103506\pi\)
\(420\) 1.21220 + 1.44464i 0.0591493 + 0.0704914i
\(421\) −4.86073 + 2.80634i −0.236897 + 0.136773i −0.613750 0.789501i \(-0.710340\pi\)
0.376853 + 0.926273i \(0.377006\pi\)
\(422\) 6.10718 + 1.07686i 0.297293 + 0.0524208i
\(423\) 3.08750 17.5101i 0.150120 0.851370i
\(424\) −5.16018 + 6.14966i −0.250600 + 0.298654i
\(425\) −0.599028 + 1.64581i −0.0290571 + 0.0798337i
\(426\) −1.28306 + 3.52517i −0.0621643 + 0.170795i
\(427\) −13.0067 + 15.5008i −0.629439 + 0.750136i
\(428\) −3.52602 + 19.9970i −0.170437 + 0.966594i
\(429\) −8.44311 1.48875i −0.407637 0.0718775i
\(430\) −8.52459 + 4.92167i −0.411092 + 0.237344i
\(431\) −12.8250 15.2842i −0.617757 0.736214i 0.362926 0.931818i \(-0.381778\pi\)
−0.980683 + 0.195604i \(0.937333\pi\)
\(432\) −1.91875 + 0.698367i −0.0923158 + 0.0336002i
\(433\) 7.91046 13.7013i 0.380152 0.658443i −0.610931 0.791684i \(-0.709205\pi\)
0.991084 + 0.133240i \(0.0425382\pi\)
\(434\) 3.53486 + 6.12255i 0.169679 + 0.293892i
\(435\) −2.81740 2.36408i −0.135084 0.113349i
\(436\) −5.39518 3.11491i −0.258382 0.149177i
\(437\) 1.73023 + 9.81263i 0.0827682 + 0.469402i
\(438\) 1.23392i 0.0589590i
\(439\) 3.01674 0.531932i 0.143981 0.0253878i −0.101193 0.994867i \(-0.532266\pi\)
0.245174 + 0.969479i \(0.421155\pi\)
\(440\) −11.9952 + 10.0652i −0.571850 + 0.479839i
\(441\) −7.24141 2.63566i −0.344829 0.125507i
\(442\) 1.35534 + 3.72375i 0.0644668 + 0.177121i
\(443\) −2.75923 −0.131095 −0.0655475 0.997849i \(-0.520879\pi\)
−0.0655475 + 0.997849i \(0.520879\pi\)
\(444\) −1.93567 + 0.846125i −0.0918628 + 0.0401553i
\(445\) −42.4712 −2.01333
\(446\) −0.287006 0.788543i −0.0135901 0.0373386i
\(447\) 1.14062 + 0.415153i 0.0539497 + 0.0196361i
\(448\) 1.59287 1.33658i 0.0752561 0.0631474i
\(449\) −22.3120 + 3.93421i −1.05297 + 0.185667i −0.673235 0.739428i \(-0.735096\pi\)
−0.379735 + 0.925095i \(0.623985\pi\)
\(450\) 5.23932i 0.246984i
\(451\) 10.7991 + 61.2446i 0.508509 + 2.88390i
\(452\) −5.31045 3.06599i −0.249782 0.144212i
\(453\) 2.50309 + 2.10034i 0.117606 + 0.0986828i
\(454\) −3.26185 5.64968i −0.153086 0.265153i
\(455\) 11.1777 19.3603i 0.524018 0.907626i
\(456\) 0.510439 0.185785i 0.0239035 0.00870017i
\(457\) −18.9638 22.6002i −0.887089 1.05719i −0.997991 0.0633601i \(-0.979818\pi\)
0.110902 0.993831i \(-0.464626\pi\)
\(458\) 5.71935 3.30207i 0.267248 0.154296i
\(459\) 1.93554 + 0.341289i 0.0903435 + 0.0159300i
\(460\) 2.88885 16.3835i 0.134694 0.763885i
\(461\) 2.61917 3.12141i 0.121987 0.145378i −0.701594 0.712576i \(-0.747528\pi\)
0.823581 + 0.567198i \(0.191973\pi\)
\(462\) 1.48100 4.06901i 0.0689022 0.189307i
\(463\) −1.00637 + 2.76497i −0.0467699 + 0.128499i −0.960879 0.276970i \(-0.910670\pi\)
0.914109 + 0.405469i \(0.132892\pi\)
\(464\) −2.60665 + 3.10649i −0.121011 + 0.144215i
\(465\) 0.535457 3.03673i 0.0248312 0.140825i
\(466\) −22.2659 3.92607i −1.03145 0.181872i
\(467\) 4.59204 2.65121i 0.212494 0.122684i −0.389976 0.920825i \(-0.627517\pi\)
0.602470 + 0.798142i \(0.294183\pi\)
\(468\) 7.61979 + 9.08091i 0.352225 + 0.419765i
\(469\) −20.6214 + 7.50558i −0.952208 + 0.346575i
\(470\) 8.06282 13.9652i 0.371910 0.644167i
\(471\) 0.440147 + 0.762356i 0.0202809 + 0.0351275i
\(472\) 3.90696 + 3.27833i 0.179833 + 0.150897i
\(473\) 19.5735 + 11.3008i 0.899992 + 0.519611i
\(474\) −0.153767 0.872054i −0.00706273 0.0400548i
\(475\) 2.84599i 0.130583i
\(476\) −1.97105 + 0.347550i −0.0903430 + 0.0159299i
\(477\) 17.7072 14.8581i 0.810759 0.680308i
\(478\) 16.1133 + 5.86475i 0.737004 + 0.268248i
\(479\) −6.11079 16.7893i −0.279209 0.767121i −0.997453 0.0713293i \(-0.977276\pi\)
0.718244 0.695792i \(-0.244946\pi\)
\(480\) −0.906942 −0.0413961
\(481\) 17.2733 + 18.1316i 0.787595 + 0.826731i
\(482\) −5.68755 −0.259061
\(483\) 1.57346 + 4.32304i 0.0715948 + 0.196705i
\(484\) 23.4494 + 8.53487i 1.06588 + 0.387949i
\(485\) −32.6107 + 27.3637i −1.48078 + 1.24252i
\(486\) 8.74449 1.54189i 0.396658 0.0699415i
\(487\) 31.2962i 1.41817i 0.705124 + 0.709084i \(0.250891\pi\)
−0.705124 + 0.709084i \(0.749109\pi\)
\(488\) −1.68983 9.58351i −0.0764951 0.433825i
\(489\) −2.82059 1.62847i −0.127551 0.0736418i
\(490\) −5.35390 4.49246i −0.241865 0.202949i
\(491\) 6.72900 + 11.6550i 0.303676 + 0.525982i 0.976966 0.213397i \(-0.0684527\pi\)
−0.673290 + 0.739379i \(0.735119\pi\)
\(492\) −1.80099 + 3.11941i −0.0811949 + 0.140634i
\(493\) 3.66793 1.33502i 0.165195 0.0601261i
\(494\) −4.13905 4.93273i −0.186225 0.221934i
\(495\) 39.0468 22.5437i 1.75502 1.01326i
\(496\) −3.34832 0.590399i −0.150344 0.0265097i
\(497\) −3.90024 + 22.1194i −0.174950 + 0.992189i
\(498\) 1.54392 1.83997i 0.0691846 0.0824510i
\(499\) 12.5759 34.5520i 0.562974 1.54676i −0.252279 0.967654i \(-0.581180\pi\)
0.815253 0.579104i \(-0.196598\pi\)
\(500\) 2.84062 7.80454i 0.127036 0.349030i
\(501\) −2.32669 + 2.77284i −0.103949 + 0.123881i
\(502\) −4.40180 + 24.9638i −0.196462 + 1.11419i
\(503\) 6.15105 + 1.08460i 0.274262 + 0.0483597i 0.309087 0.951034i \(-0.399976\pi\)
−0.0348257 + 0.999393i \(0.511088\pi\)
\(504\) −5.18510 + 2.99362i −0.230963 + 0.133346i
\(505\) −6.88641 8.20690i −0.306441 0.365202i
\(506\) −35.8953 + 13.0648i −1.59574 + 0.580802i
\(507\) −0.685785 + 1.18781i −0.0304568 + 0.0527527i
\(508\) −3.19057 5.52624i −0.141559 0.245187i
\(509\) −6.29668 5.28355i −0.279096 0.234189i 0.492484 0.870321i \(-0.336089\pi\)
−0.771580 + 0.636132i \(0.780533\pi\)
\(510\) 0.756014 + 0.436485i 0.0334769 + 0.0193279i
\(511\) −1.28287 7.27554i −0.0567510 0.321851i
\(512\) 1.00000i 0.0441942i
\(513\) −3.14515 + 0.554575i −0.138862 + 0.0244851i
\(514\) 3.96118 3.32383i 0.174720 0.146608i
\(515\) 26.5010 + 9.64558i 1.16777 + 0.425035i
\(516\) 0.447729 + 1.23013i 0.0197102 + 0.0541533i
\(517\) −37.0265 −1.62842
\(518\) −10.5336 + 7.00146i −0.462818 + 0.307626i
\(519\) −1.01751 −0.0446638
\(520\) 3.67711 + 10.1028i 0.161252 + 0.443036i
\(521\) −20.8518 7.58945i −0.913536 0.332500i −0.157872 0.987460i \(-0.550463\pi\)
−0.755664 + 0.654960i \(0.772686\pi\)
\(522\) 8.94477 7.50555i 0.391502 0.328509i
\(523\) −13.7427 + 2.42321i −0.600927 + 0.105960i −0.465832 0.884873i \(-0.654245\pi\)
−0.135095 + 0.990833i \(0.543134\pi\)
\(524\) 10.4534i 0.456657i
\(525\) −0.228178 1.29406i −0.00995849 0.0564774i
\(526\) −8.37625 4.83603i −0.365222 0.210861i
\(527\) 2.50697 + 2.10360i 0.109205 + 0.0916340i
\(528\) 1.04123 + 1.80346i 0.0453136 + 0.0784855i
\(529\) 8.79187 15.2280i 0.382255 0.662086i
\(530\) 19.6998 7.17015i 0.855706 0.311451i
\(531\) −9.43958 11.2496i −0.409643 0.488193i
\(532\) 2.81654 1.62613i 0.122112 0.0705016i
\(533\) 42.0502 + 7.41459i 1.82140 + 0.321161i
\(534\) −0.980812 + 5.56246i −0.0424439 + 0.240711i
\(535\) 34.0848 40.6207i 1.47362 1.75619i
\(536\) 3.60958 9.91725i 0.155910 0.428360i
\(537\) 1.04137 2.86114i 0.0449384 0.123467i
\(538\) 15.3475 18.2905i 0.661679 0.788559i
\(539\) −2.78665 + 15.8039i −0.120030 + 0.680722i
\(540\) 5.25125 + 0.925938i 0.225978 + 0.0398460i
\(541\) 20.9379 12.0885i 0.900192 0.519726i 0.0229292 0.999737i \(-0.492701\pi\)
0.877262 + 0.480011i \(0.159367\pi\)
\(542\) 11.7687 + 14.0254i 0.505509 + 0.602442i
\(543\) −8.73195 + 3.17817i −0.374724 + 0.136388i
\(544\) 0.481271 0.833586i 0.0206343 0.0357397i
\(545\) 8.13439 + 14.0892i 0.348439 + 0.603514i
\(546\) −2.27749 1.91104i −0.0974676 0.0817851i
\(547\) −32.2382 18.6127i −1.37840 0.795822i −0.386437 0.922316i \(-0.626294\pi\)
−0.991967 + 0.126494i \(0.959628\pi\)
\(548\) −1.08388 6.14698i −0.0463010 0.262586i
\(549\) 28.0203i 1.19588i
\(550\) 10.7449 1.89462i 0.458164 0.0807867i
\(551\) −4.85878 + 4.07700i −0.206991 + 0.173686i
\(552\) −2.07904 0.756707i −0.0884897 0.0322076i
\(553\) −1.81330 4.98201i −0.0771095 0.211857i
\(554\) 17.7317 0.753347
\(555\) 5.48245 + 0.613867i 0.232717 + 0.0260572i
\(556\) −6.89241 −0.292303
\(557\) 0.974054 + 2.67619i 0.0412720 + 0.113394i 0.958617 0.284700i \(-0.0918940\pi\)
−0.917345 + 0.398094i \(0.869672\pi\)
\(558\) 9.19942 + 3.34832i 0.389443 + 0.141746i
\(559\) 11.8876 9.97485i 0.502790 0.421891i
\(560\) −5.34759 + 0.942924i −0.225977 + 0.0398458i
\(561\) 2.00445i 0.0846280i
\(562\) 2.64786 + 15.0167i 0.111693 + 0.633443i
\(563\) −21.5088 12.4181i −0.906489 0.523362i −0.0271895 0.999630i \(-0.508656\pi\)
−0.879300 + 0.476268i \(0.841989\pi\)
\(564\) −1.64283 1.37849i −0.0691755 0.0580451i
\(565\) 8.00663 + 13.8679i 0.336841 + 0.583427i
\(566\) 12.2266 21.1771i 0.513922 0.890139i
\(567\) 15.4929 5.63895i 0.650640 0.236813i
\(568\) −6.94323 8.27462i −0.291332 0.347195i
\(569\) −8.80519 + 5.08368i −0.369133 + 0.213119i −0.673080 0.739570i \(-0.735029\pi\)
0.303947 + 0.952689i \(0.401696\pi\)
\(570\) −1.39698 0.246325i −0.0585129 0.0103174i
\(571\) 3.25922 18.4839i 0.136394 0.773528i −0.837485 0.546460i \(-0.815975\pi\)
0.973879 0.227068i \(-0.0729140\pi\)
\(572\) 15.8679 18.9106i 0.663469 0.790691i
\(573\) −0.215896 + 0.593170i −0.00901919 + 0.0247800i
\(574\) −7.37598 + 20.2653i −0.307868 + 0.845859i
\(575\) −7.45108 + 8.87985i −0.310731 + 0.370315i
\(576\) 0.500000 2.83564i 0.0208333 0.118152i
\(577\) −18.5265 3.26672i −0.771267 0.135995i −0.225852 0.974162i \(-0.572517\pi\)
−0.545415 + 0.838166i \(0.683628\pi\)
\(578\) 13.9201 8.03676i 0.578999 0.334285i
\(579\) 0.237760 + 0.283351i 0.00988097 + 0.0117757i
\(580\) 9.95132 3.62198i 0.413206 0.150395i
\(581\) 7.19040 12.4541i 0.298308 0.516685i
\(582\) 2.83072 + 4.90296i 0.117337 + 0.203234i
\(583\) −36.8745 30.9414i −1.52719 1.28146i
\(584\) 3.07693 + 1.77647i 0.127324 + 0.0735107i
\(585\) −5.37558 30.4864i −0.222253 1.26046i
\(586\) 12.5725i 0.519366i
\(587\) 30.2531 5.33444i 1.24868 0.220176i 0.490048 0.871696i \(-0.336979\pi\)
0.758632 + 0.651520i \(0.225868\pi\)
\(588\) −0.712019 + 0.597455i −0.0293632 + 0.0246386i
\(589\) −4.99711 1.81880i −0.205902 0.0749423i
\(590\) −4.55529 12.5156i −0.187538 0.515258i
\(591\) 5.47223 0.225097
\(592\) 0.676854 6.04499i 0.0278185 0.248447i
\(593\) 6.18887 0.254147 0.127073 0.991893i \(-0.459442\pi\)
0.127073 + 0.991893i \(0.459442\pi\)
\(594\) −4.18754 11.5052i −0.171817 0.472063i
\(595\) 4.91147 + 1.78763i 0.201351 + 0.0732857i
\(596\) −2.67738 + 2.24659i −0.109670 + 0.0920240i
\(597\) 7.05829 1.24457i 0.288877 0.0509368i
\(598\) 26.2272i 1.07251i
\(599\) −0.183355 1.03986i −0.00749169 0.0424875i 0.980833 0.194852i \(-0.0624225\pi\)
−0.988324 + 0.152364i \(0.951311\pi\)
\(600\) 0.547276 + 0.315970i 0.0223424 + 0.0128994i
\(601\) −11.9378 10.0170i −0.486954 0.408603i 0.365979 0.930623i \(-0.380734\pi\)
−0.852933 + 0.522020i \(0.825179\pi\)
\(602\) 3.91887 + 6.78767i 0.159721 + 0.276645i
\(603\) −15.1941 + 26.3170i −0.618752 + 1.07171i
\(604\) −8.84115 + 3.21791i −0.359741 + 0.130935i
\(605\) −41.8883 49.9205i −1.70300 2.02956i
\(606\) −1.23389 + 0.712387i −0.0501234 + 0.0289387i
\(607\) −31.7497 5.59834i −1.28868 0.227229i −0.513020 0.858377i \(-0.671473\pi\)
−0.775663 + 0.631147i \(0.782584\pi\)
\(608\) −0.271599 + 1.54031i −0.0110148 + 0.0624680i
\(609\) −1.88239 + 2.24335i −0.0762784 + 0.0909050i
\(610\) −8.69169 + 23.8802i −0.351916 + 0.966882i
\(611\) −8.69490 + 23.8890i −0.351758 + 0.966447i
\(612\) −1.78150 + 2.12311i −0.0720130 + 0.0858218i
\(613\) −0.968237 + 5.49114i −0.0391067 + 0.221785i −0.998098 0.0616512i \(-0.980363\pi\)
0.958991 + 0.283436i \(0.0914745\pi\)
\(614\) 9.25922 + 1.63265i 0.373672 + 0.0658884i
\(615\) 8.14613 4.70317i 0.328484 0.189650i
\(616\) 8.01438 + 9.55117i 0.322909 + 0.384827i
\(617\) −3.80891 + 1.38633i −0.153341 + 0.0558116i −0.417550 0.908654i \(-0.637111\pi\)
0.264209 + 0.964465i \(0.414889\pi\)
\(618\) 1.87529 3.24809i 0.0754351 0.130657i
\(619\) 3.68705 + 6.38616i 0.148195 + 0.256681i 0.930560 0.366138i \(-0.119320\pi\)
−0.782365 + 0.622820i \(0.785987\pi\)
\(620\) 6.80156 + 5.70718i 0.273157 + 0.229206i
\(621\) 11.2652 + 6.50397i 0.452057 + 0.260995i
\(622\) 2.79599 + 15.8568i 0.112109 + 0.635801i
\(623\) 33.8176i 1.35487i
\(624\) 1.40808 0.248282i 0.0563683 0.00993925i
\(625\) −23.5843 + 19.7895i −0.943370 + 0.791581i
\(626\) −0.541225 0.196990i −0.0216317 0.00787330i
\(627\) 1.11400 + 3.06069i 0.0444889 + 0.122232i
\(628\) −2.53470 −0.101146
\(629\) −3.47349 + 4.71327i −0.138497 + 0.187930i
\(630\) 15.6353 0.622925
\(631\) 2.86348 + 7.86734i 0.113993 + 0.313194i 0.983549 0.180641i \(-0.0578171\pi\)
−0.869556 + 0.493834i \(0.835595\pi\)
\(632\) 2.39595 + 0.872054i 0.0953057 + 0.0346884i
\(633\) −1.64985 + 1.38439i −0.0655755 + 0.0550244i
\(634\) −11.5741 + 2.04083i −0.459667 + 0.0810517i
\(635\) 16.6640i 0.661289i
\(636\) −0.484136 2.74567i −0.0191973 0.108873i
\(637\) 9.54209 + 5.50913i 0.378071 + 0.218280i
\(638\) −18.6271 15.6300i −0.737453 0.618797i
\(639\) 15.5512 + 26.9355i 0.615196 + 1.06555i
\(640\) 1.30572 2.26157i 0.0516130 0.0893964i
\(641\) 11.1583 4.06129i 0.440726 0.160411i −0.112120 0.993695i \(-0.535764\pi\)
0.552846 + 0.833283i \(0.313542\pi\)
\(642\) −4.53296 5.40217i −0.178902 0.213207i
\(643\) −33.5232 + 19.3547i −1.32203 + 0.763273i −0.984052 0.177882i \(-0.943076\pi\)
−0.337976 + 0.941155i \(0.609742\pi\)
\(644\) −13.0453 2.30024i −0.514057 0.0906422i
\(645\) 0.593626 3.36662i 0.0233740 0.132561i
\(646\) 0.967710 1.15327i 0.0380740 0.0453749i
\(647\) 6.03672 16.5857i 0.237328 0.652053i −0.762658 0.646801i \(-0.776106\pi\)
0.999986 0.00525130i \(-0.00167155\pi\)
\(648\) −2.71188 + 7.45084i −0.106533 + 0.292697i
\(649\) −19.6575 + 23.4269i −0.771624 + 0.919586i
\(650\) 1.30083 7.37739i 0.0510228 0.289365i
\(651\) −2.41799 0.426356i −0.0947683 0.0167102i
\(652\) 8.12155 4.68898i 0.318065 0.183635i
\(653\) 9.49773 + 11.3189i 0.371675 + 0.442945i 0.919168 0.393865i \(-0.128862\pi\)
−0.547493 + 0.836810i \(0.684418\pi\)
\(654\) 2.03311 0.739992i 0.0795010 0.0289360i
\(655\) 13.6491 23.6410i 0.533316 0.923731i
\(656\) −5.18574 8.98197i −0.202469 0.350687i
\(657\) −7.83683 6.57588i −0.305744 0.256550i
\(658\) −11.1198 6.41999i −0.433493 0.250277i
\(659\) 1.14933 + 6.51815i 0.0447714 + 0.253911i 0.998976 0.0452437i \(-0.0144064\pi\)
−0.954205 + 0.299155i \(0.903295\pi\)
\(660\) 5.43820i 0.211682i
\(661\) 6.22992 1.09850i 0.242316 0.0427268i −0.0511712 0.998690i \(-0.516295\pi\)
0.293487 + 0.955963i \(0.405184\pi\)
\(662\) 10.8299 9.08738i 0.420917 0.353191i
\(663\) −1.29325 0.470703i −0.0502255 0.0182806i
\(664\) 2.36542 + 6.49893i 0.0917960 + 0.252207i
\(665\) −8.49307 −0.329347
\(666\) −4.94181 + 16.8030i −0.191491 + 0.651102i
\(667\) 25.8340 1.00030
\(668\) −3.56469 9.79392i −0.137922 0.378938i
\(669\) 0.273858 + 0.0996762i 0.0105880 + 0.00385370i
\(670\) −21.1125 + 17.7155i −0.815645 + 0.684408i
\(671\) 57.4645 10.1325i 2.21839 0.391163i
\(672\) 0.722150i 0.0278575i
\(673\) 4.26450 + 24.1852i 0.164384 + 0.932269i 0.949697 + 0.313170i \(0.101391\pi\)
−0.785313 + 0.619099i \(0.787498\pi\)
\(674\) −9.28425 5.36027i −0.357616 0.206470i
\(675\) −2.84618 2.38822i −0.109549 0.0919228i
\(676\) −1.97464 3.42017i −0.0759476 0.131545i
\(677\) 11.2322 19.4547i 0.431687 0.747704i −0.565332 0.824864i \(-0.691252\pi\)
0.997019 + 0.0771600i \(0.0245852\pi\)
\(678\) 2.00118 0.728370i 0.0768549 0.0279729i
\(679\) 21.7882 + 25.9662i 0.836155 + 0.996491i
\(680\) −2.17686 + 1.25681i −0.0834786 + 0.0481964i
\(681\) 2.23123 + 0.393427i 0.0855011 + 0.0150762i
\(682\) 3.54014 20.0771i 0.135559 0.768794i
\(683\) 21.2410 25.3140i 0.812764 0.968614i −0.187142 0.982333i \(-0.559923\pi\)
0.999906 + 0.0137189i \(0.00436698\pi\)
\(684\) 1.54031 4.23198i 0.0588954 0.161814i
\(685\) −5.57496 + 15.3171i −0.213008 + 0.585235i
\(686\) −12.9332 + 15.4131i −0.493790 + 0.588476i
\(687\) −0.398278 + 2.25875i −0.0151953 + 0.0861766i
\(688\) −3.71206 0.654536i −0.141521 0.0249540i
\(689\) −28.6222 + 16.5251i −1.09042 + 0.629554i
\(690\) 3.71384 + 4.42598i 0.141383 + 0.168494i
\(691\) −32.8077 + 11.9410i −1.24806 + 0.454258i −0.879747 0.475442i \(-0.842288\pi\)
−0.368317 + 0.929700i \(0.620066\pi\)
\(692\) 1.46490 2.53729i 0.0556872 0.0964531i
\(693\) −17.9503 31.0909i −0.681876 1.18104i
\(694\) 5.40451 + 4.53492i 0.205152 + 0.172143i
\(695\) 15.5877 + 8.99954i 0.591274 + 0.341372i
\(696\) −0.244560 1.38697i −0.00927003 0.0525730i
\(697\) 9.98299i 0.378133i
\(698\) −25.2560 + 4.45331i −0.955954 + 0.168560i
\(699\) 6.01509 5.04726i 0.227512 0.190905i
\(700\) 3.55540 + 1.29406i 0.134381 + 0.0489108i
\(701\) 9.15308 + 25.1479i 0.345707 + 0.949823i 0.983706 + 0.179785i \(0.0575403\pi\)
−0.637999 + 0.770037i \(0.720237\pi\)
\(702\) −8.40636 −0.317277
\(703\) 2.68438 9.12735i 0.101243 0.344245i
\(704\) −5.99619 −0.225990
\(705\) 1.91544 + 5.26263i 0.0721397 + 0.198202i
\(706\) −6.16948 2.24551i −0.232191 0.0845107i
\(707\) −6.53472 + 5.48328i −0.245763 + 0.206220i
\(708\) −1.74436 + 0.307578i −0.0655572 + 0.0115595i
\(709\) 6.67084i 0.250529i −0.992123 0.125264i \(-0.960022\pi\)
0.992123 0.125264i \(-0.0399779\pi\)
\(710\) 4.89828 + 27.7795i 0.183829 + 1.04255i
\(711\) −6.35802 3.67081i −0.238444 0.137666i
\(712\) −12.4586 10.4540i −0.466906 0.391781i
\(713\) 10.8298 + 18.7578i 0.405580 + 0.702485i
\(714\) 0.347550 0.601974i 0.0130067 0.0225283i
\(715\) −60.5782 + 22.0487i −2.26550 + 0.824573i
\(716\) 5.63534 + 6.71594i 0.210603 + 0.250986i
\(717\) −5.15738 + 2.97761i −0.192606 + 0.111201i
\(718\) 19.5546 + 3.44800i 0.729771 + 0.128678i
\(719\) 8.26991 46.9010i 0.308416 1.74911i −0.298559 0.954391i \(-0.596506\pi\)
0.606975 0.794721i \(-0.292383\pi\)
\(720\) −4.83333 + 5.76014i −0.180128 + 0.214668i
\(721\) 7.68026 21.1013i 0.286028 0.785855i
\(722\) 5.66169 15.5554i 0.210706 0.578910i
\(723\) 1.26968 1.51314i 0.0472198 0.0562743i
\(724\) 4.64617 26.3498i 0.172674 0.979281i
\(725\) −7.26679 1.28133i −0.269882 0.0475874i
\(726\) −7.50544 + 4.33327i −0.278553 + 0.160823i
\(727\) −32.2308 38.4112i −1.19537 1.42459i −0.879572 0.475766i \(-0.842171\pi\)
−0.315802 0.948825i \(-0.602274\pi\)
\(728\) 8.04430 2.92789i 0.298142 0.108515i
\(729\) 10.3516 17.9296i 0.383394 0.664058i
\(730\) −4.63913 8.03520i −0.171702 0.297396i
\(731\) 2.77931 + 2.33212i 0.102796 + 0.0862565i
\(732\) 2.92687 + 1.68983i 0.108180 + 0.0624580i
\(733\) 4.88298 + 27.6927i 0.180357 + 1.02285i 0.931777 + 0.363031i \(0.118258\pi\)
−0.751420 + 0.659824i \(0.770631\pi\)
\(734\) 21.5993i 0.797244i
\(735\) 2.39039 0.421490i 0.0881708 0.0155469i
\(736\) 4.88011 4.09490i 0.179883 0.150940i
\(737\) 59.4657 + 21.6438i 2.19045 + 0.797258i
\(738\) 10.2139 + 28.0625i 0.375980 + 1.03300i
\(739\) 32.3511 1.19006 0.595028 0.803705i \(-0.297141\pi\)
0.595028 + 0.803705i \(0.297141\pi\)
\(740\) −9.42380 + 12.7874i −0.346426 + 0.470073i
\(741\) 2.23632 0.0821533
\(742\) −5.70921 15.6859i −0.209592 0.575848i
\(743\) −7.05630 2.56828i −0.258871 0.0942212i 0.209325 0.977846i \(-0.432873\pi\)
−0.468195 + 0.883625i \(0.655096\pi\)
\(744\) 0.904543 0.759002i 0.0331622 0.0278264i
\(745\) 8.98851 1.58492i 0.329313 0.0580668i
\(746\) 31.2808i 1.14527i
\(747\) −3.45801 19.6113i −0.126522 0.717542i
\(748\) 4.99834 + 2.88579i 0.182757 + 0.105515i
\(749\) −32.3441 27.1399i −1.18183 0.991672i
\(750\) 1.44222 + 2.49800i 0.0526624 + 0.0912140i
\(751\) −7.37086 + 12.7667i −0.268966 + 0.465863i −0.968595 0.248643i \(-0.920015\pi\)
0.699629 + 0.714506i \(0.253349\pi\)
\(752\) 5.80261 2.11198i 0.211599 0.0770159i
\(753\) −5.65884 6.74395i −0.206220 0.245763i
\(754\) −14.4584 + 8.34759i −0.526546 + 0.304001i
\(755\) 24.1966 + 4.26651i 0.880603 + 0.155274i
\(756\) 0.737275 4.18129i 0.0268144 0.152072i
\(757\) −14.2111 + 16.9361i −0.516511 + 0.615553i −0.959752 0.280849i \(-0.909384\pi\)
0.443241 + 0.896402i \(0.353828\pi\)
\(758\) −6.86090 + 18.8502i −0.249199 + 0.684669i
\(759\) 4.53736 12.4663i 0.164696 0.452498i
\(760\) 2.62546 3.12890i 0.0952353 0.113497i
\(761\) 5.52983 31.3612i 0.200456 1.13684i −0.703975 0.710225i \(-0.748593\pi\)
0.904431 0.426619i \(-0.140296\pi\)
\(762\) 2.18248 + 0.384830i 0.0790630 + 0.0139409i
\(763\) 11.2185 6.47698i 0.406135 0.234482i
\(764\) −1.16832 1.39235i −0.0422682 0.0503733i
\(765\) 6.80119 2.47543i 0.245897 0.0894993i
\(766\) 8.24957 14.2887i 0.298069 0.516271i
\(767\) 10.4986 + 18.1841i 0.379082 + 0.656589i
\(768\) −0.266044 0.223238i −0.00960005 0.00805540i
\(769\) 19.6375 + 11.3377i 0.708148 + 0.408849i 0.810375 0.585912i \(-0.199263\pi\)
−0.102227 + 0.994761i \(0.532597\pi\)
\(770\) −5.65395 32.0652i −0.203754