Properties

Label 300.2.w.a.67.20
Level $300$
Weight $2$
Character 300.67
Analytic conductor $2.396$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.w (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 67.20
Character \(\chi\) \(=\) 300.67
Dual form 300.2.w.a.103.20

$q$-expansion

\(f(q)\) \(=\) \(q+(0.611319 - 1.27526i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-1.25258 - 1.55918i) q^{4} +(-0.726283 + 2.11483i) q^{5} +(0.803287 - 1.16393i) q^{6} +(3.39156 - 3.39156i) q^{7} +(-2.75409 + 0.644208i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\) \(q+(0.611319 - 1.27526i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-1.25258 - 1.55918i) q^{4} +(-0.726283 + 2.11483i) q^{5} +(0.803287 - 1.16393i) q^{6} +(3.39156 - 3.39156i) q^{7} +(-2.75409 + 0.644208i) q^{8} +(0.951057 + 0.309017i) q^{9} +(2.25297 + 2.21904i) q^{10} +(2.54925 - 0.828300i) q^{11} +(-0.993248 - 1.73593i) q^{12} +(-1.36403 - 2.67705i) q^{13} +(-2.25180 - 6.39845i) q^{14} +(-1.04817 + 1.97518i) q^{15} +(-0.862092 + 3.90600i) q^{16} +(0.0551663 + 0.348307i) q^{17} +(0.975476 - 1.02394i) q^{18} +(0.0301061 + 0.0218734i) q^{19} +(4.20713 - 1.51659i) q^{20} +(3.88036 - 2.81925i) q^{21} +(0.502103 - 3.75731i) q^{22} +(-0.826275 + 1.62166i) q^{23} +(-2.82096 + 0.205443i) q^{24} +(-3.94503 - 3.07193i) q^{25} +(-4.24780 + 0.102957i) q^{26} +(0.891007 + 0.453990i) q^{27} +(-9.53626 - 1.03986i) q^{28} +(3.43571 + 4.72885i) q^{29} +(1.87810 + 2.54416i) q^{30} +(-3.91117 + 5.38327i) q^{31} +(4.45415 + 3.48720i) q^{32} +(2.64744 - 0.419313i) q^{33} +(0.477906 + 0.142575i) q^{34} +(4.70935 + 9.63581i) q^{35} +(-0.709460 - 1.86994i) q^{36} +(-8.36414 + 4.26174i) q^{37} +(0.0462987 - 0.0250216i) q^{38} +(-0.928450 - 2.85748i) q^{39} +(0.637856 - 6.29231i) q^{40} +(-2.14293 + 6.59526i) q^{41} +(-1.22314 - 6.67193i) q^{42} +(3.96315 + 3.96315i) q^{43} +(-4.48460 - 2.93723i) q^{44} +(-1.34426 + 1.78689i) q^{45} +(1.56292 + 2.04506i) q^{46} +(1.79499 - 11.3331i) q^{47} +(-1.46251 + 3.72304i) q^{48} -16.0054i q^{49} +(-6.32918 + 3.15300i) q^{50} +0.352648i q^{51} +(-2.46546 + 5.47999i) q^{52} +(-0.934134 + 5.89789i) q^{53} +(1.12365 - 0.858733i) q^{54} +(-0.0997595 + 5.99281i) q^{55} +(-7.15578 + 11.5255i) q^{56} +(0.0263137 + 0.0263137i) q^{57} +(8.13084 - 1.49059i) q^{58} +(-3.53381 + 10.8759i) q^{59} +(4.39258 - 0.839774i) q^{60} +(-1.26478 - 3.89259i) q^{61} +(4.47410 + 8.27866i) q^{62} +(4.27362 - 2.17752i) q^{63} +(7.16999 - 3.54841i) q^{64} +(6.65219 - 0.940388i) q^{65} +(1.08369 - 3.63250i) q^{66} +(8.89404 - 1.40868i) q^{67} +(0.473973 - 0.522296i) q^{68} +(-1.06979 + 1.47243i) q^{69} +(15.1671 - 0.115090i) q^{70} +(-9.59181 - 13.2020i) q^{71} +(-2.81836 - 0.238382i) q^{72} +(4.09605 + 2.08704i) q^{73} +(0.321677 + 13.2717i) q^{74} +(-3.41590 - 3.65125i) q^{75} +(-0.00360574 - 0.0743391i) q^{76} +(5.83669 - 11.4552i) q^{77} +(-4.21161 - 0.562813i) q^{78} +(-1.31184 + 0.953110i) q^{79} +(-7.63440 - 4.66004i) q^{80} +(0.809017 + 0.587785i) q^{81} +(7.10066 + 6.76460i) q^{82} +(0.977173 + 6.16963i) q^{83} +(-9.25618 - 2.51886i) q^{84} +(-0.776676 - 0.136302i) q^{85} +(7.47680 - 2.63130i) q^{86} +(2.65366 + 5.20810i) q^{87} +(-6.48725 + 3.92346i) q^{88} +(-13.2764 + 4.31376i) q^{89} +(1.45698 + 2.80664i) q^{90} +(-13.7056 - 4.45321i) q^{91} +(3.56343 - 0.742940i) q^{92} +(-4.70515 + 4.70515i) q^{93} +(-13.3554 - 9.21725i) q^{94} +(-0.0681241 + 0.0477831i) q^{95} +(3.85379 + 4.14105i) q^{96} +(8.89748 + 1.40922i) q^{97} +(-20.4110 - 9.78438i) q^{98} +2.68044 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 12q^{8} + O(q^{10}) \) \( 240q + 12q^{8} + 8q^{10} + 8q^{12} + 4q^{13} + 20q^{17} - 20q^{20} - 12q^{22} + 20q^{25} + 4q^{28} - 8q^{30} - 20q^{32} - 8q^{33} - 4q^{37} - 76q^{38} - 92q^{40} - 20q^{42} - 140q^{44} - 4q^{45} - 16q^{48} - 164q^{50} - 172q^{52} - 4q^{53} - 120q^{58} + 20q^{60} - 44q^{62} - 60q^{64} - 20q^{65} + 16q^{68} - 44q^{70} + 12q^{72} - 44q^{73} - 48q^{77} + 24q^{78} - 4q^{80} + 60q^{81} + 24q^{82} + 80q^{84} - 64q^{85} + 60q^{88} - 260q^{89} + 48q^{90} + 144q^{92} - 64q^{93} + 40q^{94} - 20q^{96} - 180q^{97} + 256q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.611319 1.27526i 0.432268 0.901745i
\(3\) 0.987688 + 0.156434i 0.570242 + 0.0903175i
\(4\) −1.25258 1.55918i −0.626289 0.779591i
\(5\) −0.726283 + 2.11483i −0.324804 + 0.945781i
\(6\) 0.803287 1.16393i 0.327941 0.475172i
\(7\) 3.39156 3.39156i 1.28189 1.28189i 0.342298 0.939591i \(-0.388795\pi\)
0.939591 0.342298i \(-0.111205\pi\)
\(8\) −2.75409 + 0.644208i −0.973717 + 0.227762i
\(9\) 0.951057 + 0.309017i 0.317019 + 0.103006i
\(10\) 2.25297 + 2.21904i 0.712452 + 0.701721i
\(11\) 2.54925 0.828300i 0.768627 0.249742i 0.101650 0.994820i \(-0.467588\pi\)
0.666977 + 0.745078i \(0.267588\pi\)
\(12\) −0.993248 1.73593i −0.286726 0.501120i
\(13\) −1.36403 2.67705i −0.378313 0.742481i 0.620827 0.783948i \(-0.286797\pi\)
−0.999140 + 0.0414664i \(0.986797\pi\)
\(14\) −2.25180 6.39845i −0.601819 1.71006i
\(15\) −1.04817 + 1.97518i −0.270637 + 0.509989i
\(16\) −0.862092 + 3.90600i −0.215523 + 0.976499i
\(17\) 0.0551663 + 0.348307i 0.0133798 + 0.0844767i 0.993475 0.114053i \(-0.0363834\pi\)
−0.980095 + 0.198530i \(0.936383\pi\)
\(18\) 0.975476 1.02394i 0.229922 0.241344i
\(19\) 0.0301061 + 0.0218734i 0.00690682 + 0.00501810i 0.591233 0.806501i \(-0.298641\pi\)
−0.584326 + 0.811519i \(0.698641\pi\)
\(20\) 4.20713 1.51659i 0.940743 0.339119i
\(21\) 3.88036 2.81925i 0.846765 0.615210i
\(22\) 0.502103 3.75731i 0.107049 0.801061i
\(23\) −0.826275 + 1.62166i −0.172290 + 0.338139i −0.960964 0.276673i \(-0.910768\pi\)
0.788674 + 0.614812i \(0.210768\pi\)
\(24\) −2.82096 + 0.205443i −0.575825 + 0.0419358i
\(25\) −3.94503 3.07193i −0.789005 0.614387i
\(26\) −4.24780 + 0.102957i −0.833062 + 0.0201915i
\(27\) 0.891007 + 0.453990i 0.171474 + 0.0873705i
\(28\) −9.53626 1.03986i −1.80218 0.196515i
\(29\) 3.43571 + 4.72885i 0.637996 + 0.878126i 0.998507 0.0546290i \(-0.0173976\pi\)
−0.360511 + 0.932755i \(0.617398\pi\)
\(30\) 1.87810 + 2.54416i 0.342892 + 0.464498i
\(31\) −3.91117 + 5.38327i −0.702467 + 0.966864i 0.297459 + 0.954735i \(0.403861\pi\)
−0.999926 + 0.0121289i \(0.996139\pi\)
\(32\) 4.45415 + 3.48720i 0.787390 + 0.616456i
\(33\) 2.64744 0.419313i 0.460859 0.0729930i
\(34\) 0.477906 + 0.142575i 0.0819602 + 0.0244514i
\(35\) 4.70935 + 9.63581i 0.796025 + 1.62875i
\(36\) −0.709460 1.86994i −0.118243 0.311656i
\(37\) −8.36414 + 4.26174i −1.37506 + 0.700626i −0.976298 0.216430i \(-0.930559\pi\)
−0.398759 + 0.917056i \(0.630559\pi\)
\(38\) 0.0462987 0.0250216i 0.00751065 0.00405903i
\(39\) −0.928450 2.85748i −0.148671 0.457562i
\(40\) 0.637856 6.29231i 0.100854 0.994901i
\(41\) −2.14293 + 6.59526i −0.334669 + 1.03001i 0.632215 + 0.774793i \(0.282146\pi\)
−0.966885 + 0.255214i \(0.917854\pi\)
\(42\) −1.22314 6.67193i −0.188734 1.02950i
\(43\) 3.96315 + 3.96315i 0.604375 + 0.604375i 0.941470 0.337095i \(-0.109445\pi\)
−0.337095 + 0.941470i \(0.609445\pi\)
\(44\) −4.48460 2.93723i −0.676079 0.442803i
\(45\) −1.34426 + 1.78689i −0.200390 + 0.266374i
\(46\) 1.56292 + 2.04506i 0.230440 + 0.301528i
\(47\) 1.79499 11.3331i 0.261827 1.65311i −0.409767 0.912190i \(-0.634390\pi\)
0.671594 0.740919i \(-0.265610\pi\)
\(48\) −1.46251 + 3.72304i −0.211095 + 0.537375i
\(49\) 16.0054i 2.28648i
\(50\) −6.32918 + 3.15300i −0.895082 + 0.445902i
\(51\) 0.352648i 0.0493806i
\(52\) −2.46546 + 5.47999i −0.341898 + 0.759938i
\(53\) −0.934134 + 5.89789i −0.128313 + 0.810138i 0.836647 + 0.547742i \(0.184513\pi\)
−0.964960 + 0.262396i \(0.915487\pi\)
\(54\) 1.12365 0.858733i 0.152909 0.116859i
\(55\) −0.0997595 + 5.99281i −0.0134516 + 0.808070i
\(56\) −7.15578 + 11.5255i −0.956232 + 1.54016i
\(57\) 0.0263137 + 0.0263137i 0.00348534 + 0.00348534i
\(58\) 8.13084 1.49059i 1.06763 0.195724i
\(59\) −3.53381 + 10.8759i −0.460063 + 1.41593i 0.405024 + 0.914306i \(0.367263\pi\)
−0.865087 + 0.501622i \(0.832737\pi\)
\(60\) 4.39258 0.839774i 0.567080 0.108414i
\(61\) −1.26478 3.89259i −0.161938 0.498395i 0.836859 0.547418i \(-0.184389\pi\)
−0.998798 + 0.0490230i \(0.984389\pi\)
\(62\) 4.47410 + 8.27866i 0.568211 + 1.05139i
\(63\) 4.27362 2.17752i 0.538425 0.274341i
\(64\) 7.16999 3.54841i 0.896249 0.443551i
\(65\) 6.65219 0.940388i 0.825103 0.116641i
\(66\) 1.08369 3.63250i 0.133394 0.447130i
\(67\) 8.89404 1.40868i 1.08658 0.172097i 0.412648 0.910891i \(-0.364604\pi\)
0.673932 + 0.738793i \(0.264604\pi\)
\(68\) 0.473973 0.522296i 0.0574776 0.0633377i
\(69\) −1.06979 + 1.47243i −0.128787 + 0.177260i
\(70\) 15.1671 0.115090i 1.81281 0.0137559i
\(71\) −9.59181 13.2020i −1.13834 1.56679i −0.771165 0.636635i \(-0.780326\pi\)
−0.367172 0.930153i \(-0.619674\pi\)
\(72\) −2.81836 0.238382i −0.332147 0.0280935i
\(73\) 4.09605 + 2.08704i 0.479406 + 0.244270i 0.676956 0.736023i \(-0.263299\pi\)
−0.197550 + 0.980293i \(0.563299\pi\)
\(74\) 0.321677 + 13.2717i 0.0373942 + 1.54281i
\(75\) −3.41590 3.65125i −0.394434 0.421610i
\(76\) −0.00360574 0.0743391i −0.000413607 0.00852728i
\(77\) 5.83669 11.4552i 0.665153 1.30544i
\(78\) −4.21161 0.562813i −0.476871 0.0637260i
\(79\) −1.31184 + 0.953110i −0.147594 + 0.107233i −0.659132 0.752028i \(-0.729076\pi\)
0.511538 + 0.859261i \(0.329076\pi\)
\(80\) −7.63440 4.66004i −0.853552 0.521008i
\(81\) 0.809017 + 0.587785i 0.0898908 + 0.0653095i
\(82\) 7.10066 + 6.76460i 0.784137 + 0.747025i
\(83\) 0.977173 + 6.16963i 0.107259 + 0.677205i 0.981464 + 0.191648i \(0.0613832\pi\)
−0.874205 + 0.485557i \(0.838617\pi\)
\(84\) −9.25618 2.51886i −1.00993 0.274830i
\(85\) −0.776676 0.136302i −0.0842423 0.0147840i
\(86\) 7.47680 2.63130i 0.806244 0.283741i
\(87\) 2.65366 + 5.20810i 0.284502 + 0.558367i
\(88\) −6.48725 + 3.92346i −0.691543 + 0.418242i
\(89\) −13.2764 + 4.31376i −1.40729 + 0.457257i −0.911542 0.411207i \(-0.865107\pi\)
−0.495751 + 0.868465i \(0.665107\pi\)
\(90\) 1.45698 + 2.80664i 0.153579 + 0.295845i
\(91\) −13.7056 4.45321i −1.43673 0.466823i
\(92\) 3.56343 0.742940i 0.371513 0.0774568i
\(93\) −4.70515 + 4.70515i −0.487901 + 0.487901i
\(94\) −13.3554 9.21725i −1.37750 0.950687i
\(95\) −0.0681241 + 0.0477831i −0.00698939 + 0.00490245i
\(96\) 3.85379 + 4.14105i 0.393326 + 0.422644i
\(97\) 8.89748 + 1.40922i 0.903402 + 0.143085i 0.590818 0.806805i \(-0.298805\pi\)
0.312584 + 0.949890i \(0.398805\pi\)
\(98\) −20.4110 9.78438i −2.06182 0.988372i
\(99\) 2.68044 0.269394
\(100\) 0.151754 + 9.99885i 0.0151754 + 0.999885i
\(101\) −2.30442 −0.229298 −0.114649 0.993406i \(-0.536574\pi\)
−0.114649 + 0.993406i \(0.536574\pi\)
\(102\) 0.449718 + 0.215580i 0.0445288 + 0.0213456i
\(103\) 4.48812 + 0.710848i 0.442227 + 0.0700419i 0.373578 0.927599i \(-0.378131\pi\)
0.0686497 + 0.997641i \(0.478131\pi\)
\(104\) 5.48123 + 6.49412i 0.537479 + 0.636801i
\(105\) 3.14399 + 10.2539i 0.306822 + 1.00068i
\(106\) 6.95029 + 4.79676i 0.675072 + 0.465902i
\(107\) 6.74496 6.74496i 0.652060 0.652060i −0.301429 0.953489i \(-0.597464\pi\)
0.953489 + 0.301429i \(0.0974636\pi\)
\(108\) −0.408203 1.95790i −0.0392793 0.188399i
\(109\) 0.913063 + 0.296672i 0.0874556 + 0.0284161i 0.352418 0.935843i \(-0.385360\pi\)
−0.264962 + 0.964259i \(0.585360\pi\)
\(110\) 7.58141 + 3.79073i 0.722859 + 0.361432i
\(111\) −8.92785 + 2.90083i −0.847394 + 0.275335i
\(112\) 10.3236 + 16.1713i 0.975487 + 1.52804i
\(113\) 0.881591 + 1.73022i 0.0829331 + 0.162765i 0.928749 0.370710i \(-0.120886\pi\)
−0.845816 + 0.533475i \(0.820886\pi\)
\(114\) 0.0496430 0.0174708i 0.00464949 0.00163629i
\(115\) −2.82942 2.92521i −0.263845 0.272778i
\(116\) 3.06964 11.2802i 0.285009 1.04734i
\(117\) −0.470012 2.96754i −0.0434526 0.274349i
\(118\) 11.7094 + 11.1552i 1.07794 + 1.02692i
\(119\) 1.36840 + 0.994203i 0.125441 + 0.0911384i
\(120\) 1.61434 6.11506i 0.147368 0.558226i
\(121\) −3.08661 + 2.24255i −0.280601 + 0.203868i
\(122\) −5.73725 0.766690i −0.519426 0.0694128i
\(123\) −3.14827 + 6.17883i −0.283870 + 0.557127i
\(124\) 13.2925 0.644741i 1.19371 0.0578994i
\(125\) 9.36183 6.11197i 0.837347 0.546671i
\(126\) −0.164359 6.78113i −0.0146423 0.604111i
\(127\) −14.5964 7.43723i −1.29522 0.659948i −0.335801 0.941933i \(-0.609007\pi\)
−0.959419 + 0.281985i \(0.909007\pi\)
\(128\) −0.141997 11.3128i −0.0125509 0.999921i
\(129\) 3.29439 + 4.53433i 0.290054 + 0.399226i
\(130\) 2.86737 9.05815i 0.251485 0.794453i
\(131\) −6.08229 + 8.37156i −0.531412 + 0.731426i −0.987345 0.158588i \(-0.949306\pi\)
0.455933 + 0.890014i \(0.349306\pi\)
\(132\) −3.96991 3.60261i −0.345536 0.313567i
\(133\) 0.176292 0.0279219i 0.0152864 0.00242113i
\(134\) 3.64066 12.2034i 0.314505 1.05421i
\(135\) −1.60724 + 1.55460i −0.138329 + 0.133799i
\(136\) −0.376315 0.923728i −0.0322687 0.0792090i
\(137\) 6.62679 3.37652i 0.566165 0.288475i −0.147386 0.989079i \(-0.547086\pi\)
0.713550 + 0.700604i \(0.247086\pi\)
\(138\) 1.22376 + 2.26438i 0.104173 + 0.192757i
\(139\) −1.52421 4.69104i −0.129282 0.397889i 0.865375 0.501125i \(-0.167080\pi\)
−0.994657 + 0.103236i \(0.967080\pi\)
\(140\) 9.12515 19.4123i 0.771216 1.64064i
\(141\) 3.54579 10.9128i 0.298609 0.919025i
\(142\) −22.6996 + 4.16143i −1.90491 + 0.349219i
\(143\) −5.69465 5.69465i −0.476210 0.476210i
\(144\) −2.02692 + 3.44842i −0.168910 + 0.287368i
\(145\) −12.4960 + 3.83147i −1.03774 + 0.318186i
\(146\) 5.16551 3.94768i 0.427501 0.326712i
\(147\) 2.50379 15.8083i 0.206509 1.30385i
\(148\) 17.1216 + 7.70304i 1.40739 + 0.633186i
\(149\) 4.51885i 0.370199i 0.982720 + 0.185099i \(0.0592607\pi\)
−0.982720 + 0.185099i \(0.940739\pi\)
\(150\) −6.74450 + 2.12408i −0.550686 + 0.173431i
\(151\) 23.1084i 1.88053i −0.340438 0.940267i \(-0.610575\pi\)
0.340438 0.940267i \(-0.389425\pi\)
\(152\) −0.0970060 0.0408466i −0.00786822 0.00331310i
\(153\) −0.0551663 + 0.348307i −0.00445993 + 0.0281589i
\(154\) −11.0402 14.4461i −0.889647 1.16410i
\(155\) −8.54409 12.1813i −0.686277 0.978422i
\(156\) −3.29237 + 5.02684i −0.263600 + 0.402469i
\(157\) −2.93743 2.93743i −0.234433 0.234433i 0.580107 0.814540i \(-0.303011\pi\)
−0.814540 + 0.580107i \(0.803011\pi\)
\(158\) 0.413509 + 2.25560i 0.0328970 + 0.179446i
\(159\) −1.84527 + 5.67915i −0.146339 + 0.450386i
\(160\) −10.6098 + 6.88708i −0.838779 + 0.544471i
\(161\) 2.69758 + 8.30231i 0.212599 + 0.654314i
\(162\) 1.24415 0.672383i 0.0977494 0.0528274i
\(163\) 16.0221 8.16368i 1.25495 0.639429i 0.305155 0.952303i \(-0.401292\pi\)
0.949795 + 0.312874i \(0.101292\pi\)
\(164\) 12.9674 4.91987i 1.01258 0.384177i
\(165\) −1.03601 + 5.90342i −0.0806535 + 0.459581i
\(166\) 8.46525 + 2.52546i 0.657031 + 0.196014i
\(167\) −10.4908 + 1.66158i −0.811801 + 0.128577i −0.548515 0.836141i \(-0.684807\pi\)
−0.263287 + 0.964718i \(0.584807\pi\)
\(168\) −8.87067 + 10.2642i −0.684387 + 0.791901i
\(169\) 2.33516 3.21407i 0.179627 0.247236i
\(170\) −0.648617 + 0.907141i −0.0497466 + 0.0695745i
\(171\) 0.0218734 + 0.0301061i 0.00167270 + 0.00230227i
\(172\) 1.21511 11.1434i 0.0926513 0.849679i
\(173\) −4.09233 2.08515i −0.311134 0.158531i 0.291450 0.956586i \(-0.405862\pi\)
−0.602584 + 0.798055i \(0.705862\pi\)
\(174\) 8.26391 0.200298i 0.626486 0.0151846i
\(175\) −23.7984 + 2.96114i −1.79899 + 0.223841i
\(176\) 1.03765 + 10.6714i 0.0782160 + 0.804388i
\(177\) −5.19167 + 10.1892i −0.390230 + 0.765870i
\(178\) −2.61493 + 19.5679i −0.195998 + 1.46668i
\(179\) 9.71609 7.05915i 0.726214 0.527626i −0.162149 0.986766i \(-0.551843\pi\)
0.888364 + 0.459141i \(0.151843\pi\)
\(180\) 4.46987 0.142284i 0.333165 0.0106052i
\(181\) −15.7632 11.4527i −1.17167 0.851269i −0.180463 0.983582i \(-0.557760\pi\)
−0.991208 + 0.132313i \(0.957760\pi\)
\(182\) −14.0575 + 14.7559i −1.04201 + 1.09378i
\(183\) −0.640272 4.04252i −0.0473303 0.298832i
\(184\) 1.23095 4.99848i 0.0907468 0.368492i
\(185\) −2.93813 20.7840i −0.216016 1.52807i
\(186\) 3.12395 + 8.87664i 0.229059 + 0.650867i
\(187\) 0.429135 + 0.842225i 0.0313815 + 0.0615896i
\(188\) −19.9188 + 11.3969i −1.45273 + 0.831207i
\(189\) 4.56164 1.48217i 0.331810 0.107812i
\(190\) 0.0192904 + 0.116087i 0.00139947 + 0.00842182i
\(191\) −7.51089 2.44043i −0.543469 0.176584i 0.0244009 0.999702i \(-0.492232\pi\)
−0.567870 + 0.823119i \(0.692232\pi\)
\(192\) 7.63681 2.38309i 0.551139 0.171985i
\(193\) 12.4322 12.4322i 0.894893 0.894893i −0.100086 0.994979i \(-0.531912\pi\)
0.994979 + 0.100086i \(0.0319118\pi\)
\(194\) 7.23632 10.4851i 0.519537 0.752788i
\(195\) 6.71740 + 0.111821i 0.481043 + 0.00800770i
\(196\) −24.9553 + 20.0480i −1.78252 + 1.43200i
\(197\) −5.51782 0.873937i −0.393128 0.0622654i −0.0432589 0.999064i \(-0.513774\pi\)
−0.349869 + 0.936798i \(0.613774\pi\)
\(198\) 1.63860 3.41826i 0.116450 0.242925i
\(199\) 18.0700 1.28095 0.640476 0.767978i \(-0.278737\pi\)
0.640476 + 0.767978i \(0.278737\pi\)
\(200\) 12.8439 + 5.91896i 0.908201 + 0.418533i
\(201\) 9.00490 0.635157
\(202\) −1.40873 + 2.93873i −0.0991181 + 0.206768i
\(203\) 27.6906 + 4.38576i 1.94350 + 0.307820i
\(204\) 0.549842 0.441720i 0.0384967 0.0309266i
\(205\) −12.3915 9.32197i −0.865459 0.651074i
\(206\) 3.65019 5.28896i 0.254321 0.368500i
\(207\) −1.28695 + 1.28695i −0.0894495 + 0.0894495i
\(208\) 11.6325 3.02002i 0.806567 0.209401i
\(209\) 0.0948657 + 0.0308237i 0.00656200 + 0.00213212i
\(210\) 14.9984 + 2.25898i 1.03499 + 0.155885i
\(211\) 7.52169 2.44395i 0.517815 0.168248i −0.0384386 0.999261i \(-0.512238\pi\)
0.556253 + 0.831013i \(0.312238\pi\)
\(212\) 10.3660 5.93109i 0.711937 0.407349i
\(213\) −7.40847 14.5399i −0.507620 0.996260i
\(214\) −4.47826 12.7249i −0.306127 0.869856i
\(215\) −11.2598 + 5.50303i −0.767910 + 0.375303i
\(216\) −2.74637 0.676336i −0.186867 0.0460188i
\(217\) 4.99270 + 31.5227i 0.338927 + 2.13990i
\(218\) 0.936507 0.983032i 0.0634283 0.0665794i
\(219\) 3.71913 + 2.70211i 0.251316 + 0.182592i
\(220\) 9.46883 7.35092i 0.638388 0.495599i
\(221\) 0.857187 0.622783i 0.0576607 0.0418929i
\(222\) −1.75844 + 13.1587i −0.118019 + 0.883152i
\(223\) −9.58505 + 18.8117i −0.641862 + 1.25973i 0.309280 + 0.950971i \(0.399912\pi\)
−0.951142 + 0.308754i \(0.900088\pi\)
\(224\) 26.9336 3.27947i 1.79957 0.219119i
\(225\) −2.80266 4.14066i −0.186844 0.276044i
\(226\) 2.74541 0.0665426i 0.182622 0.00442634i
\(227\) 3.75568 + 1.91361i 0.249273 + 0.127011i 0.574163 0.818741i \(-0.305327\pi\)
−0.324890 + 0.945752i \(0.605327\pi\)
\(228\) 0.00806785 0.0739879i 0.000534306 0.00489997i
\(229\) 9.56819 + 13.1695i 0.632284 + 0.870264i 0.998175 0.0603935i \(-0.0192355\pi\)
−0.365891 + 0.930658i \(0.619236\pi\)
\(230\) −5.46009 + 1.82001i −0.360028 + 0.120008i
\(231\) 7.55682 10.4011i 0.497202 0.684340i
\(232\) −12.5086 10.8104i −0.821231 0.709735i
\(233\) −3.96847 + 0.628543i −0.259983 + 0.0411772i −0.285065 0.958508i \(-0.592015\pi\)
0.0250823 + 0.999685i \(0.492015\pi\)
\(234\) −4.07171 1.21472i −0.266176 0.0794090i
\(235\) 22.6640 + 12.0272i 1.47844 + 0.784567i
\(236\) 21.3839 8.11313i 1.39198 0.528120i
\(237\) −1.44479 + 0.736158i −0.0938493 + 0.0478186i
\(238\) 2.10440 1.13730i 0.136408 0.0737199i
\(239\) −0.935034 2.87774i −0.0604823 0.186145i 0.916250 0.400606i \(-0.131201\pi\)
−0.976733 + 0.214461i \(0.931201\pi\)
\(240\) −6.81142 5.79695i −0.439675 0.374191i
\(241\) −5.19805 + 15.9980i −0.334836 + 1.03052i 0.631967 + 0.774995i \(0.282248\pi\)
−0.966803 + 0.255524i \(0.917752\pi\)
\(242\) 0.972938 + 5.30715i 0.0625428 + 0.341156i
\(243\) 0.707107 + 0.707107i 0.0453609 + 0.0453609i
\(244\) −4.48502 + 6.84780i −0.287124 + 0.438385i
\(245\) 33.8487 + 11.6244i 2.16251 + 0.742658i
\(246\) 5.95503 + 7.79211i 0.379679 + 0.496807i
\(247\) 0.0174907 0.110432i 0.00111290 0.00702660i
\(248\) 7.30377 17.3456i 0.463790 1.10145i
\(249\) 6.24653i 0.395858i
\(250\) −2.07129 15.6751i −0.131000 0.991382i
\(251\) 5.01058i 0.316265i 0.987418 + 0.158132i \(0.0505473\pi\)
−0.987418 + 0.158132i \(0.949453\pi\)
\(252\) −8.74818 3.93583i −0.551084 0.247934i
\(253\) −0.763160 + 4.81841i −0.0479795 + 0.302931i
\(254\) −18.4075 + 14.0677i −1.15499 + 0.882685i
\(255\) −0.745792 0.256123i −0.0467033 0.0160390i
\(256\) −14.5136 6.73465i −0.907100 0.420916i
\(257\) −8.87423 8.87423i −0.553559 0.553559i 0.373907 0.927466i \(-0.378018\pi\)
−0.927466 + 0.373907i \(0.878018\pi\)
\(258\) 7.79637 1.42928i 0.485381 0.0889829i
\(259\) −13.9135 + 42.8215i −0.864545 + 2.66080i
\(260\) −9.79863 9.19406i −0.607685 0.570191i
\(261\) 1.80626 + 5.55910i 0.111805 + 0.344100i
\(262\) 6.95770 + 12.8742i 0.429848 + 0.795370i
\(263\) 13.9737 7.11993i 0.861652 0.439034i 0.0334351 0.999441i \(-0.489355\pi\)
0.828217 + 0.560407i \(0.189355\pi\)
\(264\) −7.02114 + 2.86032i −0.432122 + 0.176041i
\(265\) −11.7946 6.25908i −0.724537 0.384492i
\(266\) 0.0721628 0.241887i 0.00442459 0.0148311i
\(267\) −13.7877 + 2.18376i −0.843796 + 0.133644i
\(268\) −13.3369 12.1029i −0.814679 0.739305i
\(269\) −6.69890 + 9.22024i −0.408439 + 0.562168i −0.962837 0.270084i \(-0.912949\pi\)
0.554398 + 0.832252i \(0.312949\pi\)
\(270\) 0.999990 + 3.00000i 0.0608575 + 0.182574i
\(271\) 14.5904 + 20.0820i 0.886305 + 1.21989i 0.974635 + 0.223802i \(0.0718470\pi\)
−0.0883300 + 0.996091i \(0.528153\pi\)
\(272\) −1.40804 0.0847928i −0.0853751 0.00514132i
\(273\) −12.8402 6.54241i −0.777124 0.395965i
\(274\) −0.254860 10.5150i −0.0153966 0.635235i
\(275\) −12.6013 4.56345i −0.759889 0.275186i
\(276\) 3.63578 0.176350i 0.218848 0.0106150i
\(277\) −6.27732 + 12.3199i −0.377168 + 0.740233i −0.999081 0.0428524i \(-0.986355\pi\)
0.621914 + 0.783086i \(0.286355\pi\)
\(278\) −6.91408 0.923955i −0.414679 0.0554151i
\(279\) −5.38327 + 3.91117i −0.322288 + 0.234156i
\(280\) −19.1774 23.5041i −1.14607 1.40464i
\(281\) −0.275686 0.200297i −0.0164460 0.0119487i 0.579532 0.814950i \(-0.303235\pi\)
−0.595978 + 0.803001i \(0.703235\pi\)
\(282\) −11.7491 11.1930i −0.699648 0.666534i
\(283\) −1.04683 6.60944i −0.0622278 0.392891i −0.999069 0.0431363i \(-0.986265\pi\)
0.936841 0.349754i \(-0.113735\pi\)
\(284\) −8.56980 + 31.4919i −0.508524 + 1.86870i
\(285\) −0.0747604 + 0.0365379i −0.00442842 + 0.00216432i
\(286\) −10.7434 + 3.78092i −0.635271 + 0.223570i
\(287\) 15.1004 + 29.6361i 0.891346 + 1.74936i
\(288\) 3.15854 + 4.69293i 0.186119 + 0.276534i
\(289\) 16.0497 5.21486i 0.944099 0.306756i
\(290\) −2.75294 + 18.2779i −0.161658 + 1.07332i
\(291\) 8.56748 + 2.78374i 0.502235 + 0.163186i
\(292\) −1.87655 9.00066i −0.109817 0.526724i
\(293\) 8.69276 8.69276i 0.507837 0.507837i −0.406025 0.913862i \(-0.633086\pi\)
0.913862 + 0.406025i \(0.133086\pi\)
\(294\) −18.6291 12.8569i −1.08647 0.749830i
\(295\) −20.4342 15.3724i −1.18973 0.895017i
\(296\) 20.2901 17.1255i 1.17934 0.995397i
\(297\) 2.64744 + 0.419313i 0.153620 + 0.0243310i
\(298\) 5.76272 + 2.76246i 0.333825 + 0.160025i
\(299\) 5.46832 0.316241
\(300\) −1.41428 + 9.89949i −0.0816534 + 0.571547i
\(301\) 26.8825 1.54948
\(302\) −29.4692 14.1266i −1.69576 0.812894i
\(303\) −2.27604 0.360490i −0.130755 0.0207096i
\(304\) −0.111392 + 0.0987376i −0.00638875 + 0.00566299i
\(305\) 9.15076 + 0.152328i 0.523971 + 0.00872230i
\(306\) 0.410457 + 0.283278i 0.0234643 + 0.0161939i
\(307\) −8.92000 + 8.92000i −0.509091 + 0.509091i −0.914248 0.405156i \(-0.867217\pi\)
0.405156 + 0.914248i \(0.367217\pi\)
\(308\) −25.1716 + 5.24803i −1.43428 + 0.299034i
\(309\) 4.32166 + 1.40419i 0.245851 + 0.0798817i
\(310\) −20.7574 + 3.44931i −1.17894 + 0.195908i
\(311\) 2.46111 0.799664i 0.139557 0.0453448i −0.238406 0.971166i \(-0.576625\pi\)
0.377963 + 0.925821i \(0.376625\pi\)
\(312\) 4.39784 + 7.27162i 0.248979 + 0.411675i
\(313\) −3.76802 7.39517i −0.212981 0.417999i 0.759657 0.650324i \(-0.225367\pi\)
−0.972638 + 0.232325i \(0.925367\pi\)
\(314\) −5.54170 + 1.95029i −0.312736 + 0.110061i
\(315\) 1.50122 + 10.6195i 0.0845844 + 0.598339i
\(316\) 3.12926 + 0.851556i 0.176035 + 0.0479038i
\(317\) −4.41319 27.8638i −0.247869 1.56498i −0.726624 0.687036i \(-0.758912\pi\)
0.478754 0.877949i \(-0.341088\pi\)
\(318\) 6.11435 + 5.82497i 0.342876 + 0.326648i
\(319\) 12.6754 + 9.20921i 0.709686 + 0.515617i
\(320\) 2.29684 + 17.7405i 0.128397 + 0.991723i
\(321\) 7.71706 5.60677i 0.430724 0.312939i
\(322\) 12.2367 + 1.63523i 0.681924 + 0.0911280i
\(323\) −0.00595780 + 0.0116928i −0.000331501 + 0.000650607i
\(324\) −0.0968940 1.99765i −0.00538300 0.110981i
\(325\) −2.84261 + 14.7513i −0.157680 + 0.818252i
\(326\) −0.616196 25.4230i −0.0341279 1.40805i
\(327\) 0.855412 + 0.435854i 0.0473044 + 0.0241028i
\(328\) 1.65310 19.5444i 0.0912770 1.07916i
\(329\) −32.3492 44.5249i −1.78347 2.45474i
\(330\) 6.89507 + 4.93006i 0.379561 + 0.271391i
\(331\) 1.20304 1.65584i 0.0661251 0.0910134i −0.774674 0.632361i \(-0.782086\pi\)
0.840799 + 0.541348i \(0.182086\pi\)
\(332\) 8.39558 9.25154i 0.460768 0.507744i
\(333\) −9.27172 + 1.46850i −0.508087 + 0.0804731i
\(334\) −4.29427 + 14.3942i −0.234972 + 0.787618i
\(335\) −3.48048 + 19.8325i −0.190159 + 1.08356i
\(336\) 7.66674 + 17.5871i 0.418255 + 0.959456i
\(337\) 11.0019 5.60576i 0.599313 0.305365i −0.127890 0.991788i \(-0.540820\pi\)
0.727202 + 0.686423i \(0.240820\pi\)
\(338\) −2.67125 4.94275i −0.145297 0.268850i
\(339\) 0.600071 + 1.84683i 0.0325914 + 0.100306i
\(340\) 0.760329 + 1.38171i 0.0412346 + 0.0749336i
\(341\) −5.51158 + 16.9629i −0.298469 + 0.918593i
\(342\) 0.0517648 0.00948983i 0.00279912 0.000513151i
\(343\) −30.5423 30.5423i −1.64913 1.64913i
\(344\) −13.4680 8.36177i −0.726144 0.450836i
\(345\) −2.33698 3.33182i −0.125819 0.179379i
\(346\) −5.16082 + 3.94410i −0.277448 + 0.212036i
\(347\) 2.22959 14.0770i 0.119690 0.755695i −0.852711 0.522382i \(-0.825043\pi\)
0.972402 0.233313i \(-0.0749567\pi\)
\(348\) 4.79645 10.6611i 0.257117 0.571494i
\(349\) 18.7834i 1.00545i 0.864445 + 0.502727i \(0.167670\pi\)
−0.864445 + 0.502727i \(0.832330\pi\)
\(350\) −10.7722 + 32.1594i −0.575799 + 1.71899i
\(351\) 3.00453i 0.160370i
\(352\) 14.2432 + 5.20036i 0.759164 + 0.277180i
\(353\) −1.30877 + 8.26323i −0.0696586 + 0.439807i 0.928068 + 0.372412i \(0.121469\pi\)
−0.997726 + 0.0673957i \(0.978531\pi\)
\(354\) 9.82016 + 12.8496i 0.521936 + 0.682949i
\(355\) 34.8863 10.6967i 1.85158 0.567720i
\(356\) 23.3556 + 15.2970i 1.23785 + 0.810737i
\(357\) 1.19603 + 1.19603i 0.0633005 + 0.0633005i
\(358\) −3.06263 16.7059i −0.161865 0.882936i
\(359\) −6.27998 + 19.3278i −0.331445 + 1.02008i 0.637002 + 0.770862i \(0.280174\pi\)
−0.968447 + 0.249220i \(0.919826\pi\)
\(360\) 2.55107 5.78723i 0.134453 0.305014i
\(361\) −5.87089 18.0688i −0.308994 0.950987i
\(362\) −24.2415 + 13.1010i −1.27410 + 0.688573i
\(363\) −3.39942 + 1.73209i −0.178423 + 0.0909112i
\(364\) 10.2240 + 26.9475i 0.535881 + 1.41243i
\(365\) −7.38863 + 7.14667i −0.386738 + 0.374074i
\(366\) −5.54668 1.65475i −0.289929 0.0864954i
\(367\) 29.5302 4.67713i 1.54147 0.244144i 0.672905 0.739729i \(-0.265046\pi\)
0.868560 + 0.495584i \(0.165046\pi\)
\(368\) −5.62186 4.62544i −0.293059 0.241118i
\(369\) −4.07610 + 5.61026i −0.212193 + 0.292059i
\(370\) −28.3011 8.95876i −1.47131 0.465744i
\(371\) 16.8349 + 23.1712i 0.874024 + 1.20299i
\(372\) 13.2298 + 1.44261i 0.685931 + 0.0747958i
\(373\) 22.6709 + 11.5514i 1.17386 + 0.598110i 0.928504 0.371324i \(-0.121096\pi\)
0.245354 + 0.969434i \(0.421096\pi\)
\(374\) 1.33639 0.0323912i 0.0691033 0.00167491i
\(375\) 10.2027 4.57221i 0.526865 0.236108i
\(376\) 2.35733 + 32.3688i 0.121570 + 1.66929i
\(377\) 7.97299 15.6479i 0.410630 0.805907i
\(378\) 0.898467 6.72336i 0.0462122 0.345812i
\(379\) 7.12172 5.17423i 0.365818 0.265783i −0.389656 0.920960i \(-0.627406\pi\)
0.755475 + 0.655178i \(0.227406\pi\)
\(380\) 0.159833 + 0.0463657i 0.00819928 + 0.00237851i
\(381\) −13.2532 9.62905i −0.678984 0.493311i
\(382\) −7.70374 + 8.08645i −0.394157 + 0.413739i
\(383\) −2.70392 17.0719i −0.138164 0.872332i −0.955246 0.295811i \(-0.904410\pi\)
0.817083 0.576521i \(-0.195590\pi\)
\(384\) 1.62947 11.1958i 0.0831533 0.571331i
\(385\) 19.9866 + 20.6633i 1.01861 + 1.05310i
\(386\) −8.25429 23.4544i −0.420132 1.19380i
\(387\) 2.54450 + 4.99386i 0.129344 + 0.253852i
\(388\) −8.94756 15.6379i −0.454244 0.793896i
\(389\) −1.60757 + 0.522332i −0.0815072 + 0.0264833i −0.349487 0.936941i \(-0.613644\pi\)
0.267980 + 0.963425i \(0.413644\pi\)
\(390\) 4.24907 8.49808i 0.215160 0.430317i
\(391\) −0.610416 0.198336i −0.0308701 0.0100303i
\(392\) 10.3108 + 44.0802i 0.520774 + 2.22639i
\(393\) −7.31701 + 7.31701i −0.369094 + 0.369094i
\(394\) −4.48764 + 6.50240i −0.226084 + 0.327586i
\(395\) −1.06290 3.46655i −0.0534801 0.174421i
\(396\) −3.35746 4.17929i −0.168719 0.210017i
\(397\) 24.6975 + 3.91170i 1.23953 + 0.196322i 0.741569 0.670876i \(-0.234082\pi\)
0.497962 + 0.867199i \(0.334082\pi\)
\(398\) 11.0466 23.0440i 0.553714 1.15509i
\(399\) 0.178489 0.00893564
\(400\) 15.3999 12.7610i 0.769997 0.638048i
\(401\) −34.9493 −1.74529 −0.872644 0.488358i \(-0.837596\pi\)
−0.872644 + 0.488358i \(0.837596\pi\)
\(402\) 5.50487 11.4836i 0.274558 0.572750i
\(403\) 19.7463 + 3.12750i 0.983631 + 0.155792i
\(404\) 2.88646 + 3.59300i 0.143607 + 0.178759i
\(405\) −1.83064 + 1.28404i −0.0909654 + 0.0638043i
\(406\) 22.5208 32.6317i 1.11769 1.61948i
\(407\) −17.7923 + 17.7923i −0.881930 + 0.881930i
\(408\) −0.227179 0.971224i −0.0112470 0.0480828i
\(409\) −9.56258 3.10707i −0.472839 0.153635i 0.0628973 0.998020i \(-0.479966\pi\)
−0.535736 + 0.844385i \(0.679966\pi\)
\(410\) −19.4631 + 10.1037i −0.961213 + 0.498986i
\(411\) 7.07340 2.29829i 0.348905 0.113366i
\(412\) −4.51338 7.88818i −0.222358 0.388623i
\(413\) 24.9013 + 48.8716i 1.22531 + 2.40481i
\(414\) 0.854462 + 2.42794i 0.0419945 + 0.119327i
\(415\) −13.7574 2.41434i −0.675326 0.118515i
\(416\) 3.25984 16.6806i 0.159827 0.817835i
\(417\) −0.771606 4.87173i −0.0377857 0.238570i
\(418\) 0.0973015 0.102135i 0.00475917 0.00499561i
\(419\) −8.26609 6.00566i −0.403825 0.293396i 0.367272 0.930113i \(-0.380292\pi\)
−0.771097 + 0.636718i \(0.780292\pi\)
\(420\) 12.0496 17.7459i 0.587959 0.865909i
\(421\) −20.6955 + 15.0362i −1.00864 + 0.732817i −0.963923 0.266182i \(-0.914238\pi\)
−0.0447139 + 0.999000i \(0.514238\pi\)
\(422\) 1.48148 11.0861i 0.0721175 0.539665i
\(423\) 5.20928 10.2238i 0.253284 0.497097i
\(424\) −1.22678 16.8451i −0.0595778 0.818070i
\(425\) 0.852342 1.54355i 0.0413447 0.0748729i
\(426\) −23.0711 + 0.559192i −1.11780 + 0.0270929i
\(427\) −17.4915 8.91238i −0.846474 0.431300i
\(428\) −18.9652 2.06802i −0.916718 0.0999615i
\(429\) −4.73370 6.51538i −0.228545 0.314565i
\(430\) 0.134486 + 17.7232i 0.00648551 + 0.854691i
\(431\) 17.6050 24.2312i 0.848003 1.16718i −0.136296 0.990668i \(-0.543520\pi\)
0.984299 0.176508i \(-0.0564801\pi\)
\(432\) −2.54141 + 3.08889i −0.122274 + 0.148614i
\(433\) −18.5450 + 2.93724i −0.891215 + 0.141155i −0.585216 0.810877i \(-0.698990\pi\)
−0.305999 + 0.952032i \(0.598990\pi\)
\(434\) 43.2517 + 12.9034i 2.07615 + 0.619383i
\(435\) −12.9416 + 1.82949i −0.620500 + 0.0877171i
\(436\) −0.681118 1.79524i −0.0326196 0.0859762i
\(437\) −0.0603471 + 0.0307484i −0.00288679 + 0.00147089i
\(438\) 5.71947 3.09101i 0.273287 0.147694i
\(439\) −10.6931 32.9099i −0.510353 1.57070i −0.791582 0.611063i \(-0.790742\pi\)
0.281229 0.959641i \(-0.409258\pi\)
\(440\) −3.58587 16.5690i −0.170950 0.789895i
\(441\) 4.94593 15.2220i 0.235521 0.724858i
\(442\) −0.270196 1.47386i −0.0128519 0.0701042i
\(443\) −16.6791 16.6791i −0.792447 0.792447i 0.189445 0.981891i \(-0.439331\pi\)
−0.981891 + 0.189445i \(0.939331\pi\)
\(444\) 15.7058 + 10.2866i 0.745363 + 0.488181i
\(445\) 0.519543 31.2103i 0.0246287 1.47951i
\(446\) 18.1303 + 23.7234i 0.858495 + 1.12333i
\(447\) −0.706904 + 4.46322i −0.0334354 + 0.211103i
\(448\) 12.2828 36.3521i 0.580309 1.71748i
\(449\) 17.2460i 0.813887i 0.913453 + 0.406943i \(0.133405\pi\)
−0.913453 + 0.406943i \(0.866595\pi\)
\(450\) −6.99374 + 1.04286i −0.329688 + 0.0491609i
\(451\) 18.5879i 0.875272i
\(452\) 1.59346 3.54180i 0.0749502 0.166592i
\(453\) 3.61495 22.8239i 0.169845 1.07236i
\(454\) 4.73627 3.61964i 0.222284 0.169878i
\(455\) 19.3719 25.7507i 0.908170 1.20721i
\(456\) −0.0894218 0.0555188i −0.00418756 0.00259991i
\(457\) 14.6247 + 14.6247i 0.684114 + 0.684114i 0.960925 0.276811i \(-0.0892774\pi\)
−0.276811 + 0.960925i \(0.589277\pi\)
\(458\) 22.6437 4.15119i 1.05807 0.193972i
\(459\) −0.108974 + 0.335388i −0.00508648 + 0.0156546i
\(460\) −1.01687 + 8.07564i −0.0474117 + 0.376529i
\(461\) 2.25667 + 6.94532i 0.105104 + 0.323476i 0.989755 0.142778i \(-0.0456034\pi\)
−0.884651 + 0.466254i \(0.845603\pi\)
\(462\) −8.64445 15.9953i −0.402176 0.744168i
\(463\) −4.74359 + 2.41698i −0.220453 + 0.112327i −0.560730 0.827999i \(-0.689479\pi\)
0.340276 + 0.940325i \(0.389479\pi\)
\(464\) −21.4328 + 9.34317i −0.994992 + 0.433746i
\(465\) −6.53333 13.3679i −0.302976 0.619920i
\(466\) −1.62444 + 5.44507i −0.0752508 + 0.252238i
\(467\) −3.91689 + 0.620374i −0.181252 + 0.0287075i −0.246401 0.969168i \(-0.579248\pi\)
0.0651486 + 0.997876i \(0.479248\pi\)
\(468\) −4.03820 + 4.44991i −0.186666 + 0.205697i
\(469\) 25.3871 34.9423i 1.17227 1.61348i
\(470\) 29.1927 21.5501i 1.34656 0.994032i
\(471\) −2.44175 3.36079i −0.112510 0.154857i
\(472\) 2.72605 32.2298i 0.125476 1.48350i
\(473\) 13.3857 + 6.82037i 0.615477 + 0.313601i
\(474\) 0.0555653 + 2.29251i 0.00255220 + 0.105299i
\(475\) −0.0515759 0.178775i −0.00236646 0.00820277i
\(476\) −0.163890 3.37891i −0.00751190 0.154872i
\(477\) −2.71096 + 5.32057i −0.124126 + 0.243612i
\(478\) −4.24147 0.566803i −0.194000 0.0259250i
\(479\) 7.13723 5.18550i 0.326108 0.236932i −0.412669 0.910881i \(-0.635403\pi\)
0.738778 + 0.673949i \(0.235403\pi\)
\(480\) −11.5566 + 5.14255i −0.527483 + 0.234724i
\(481\) 22.8178 + 16.5781i 1.04040 + 0.755898i
\(482\) 17.2239 + 16.4087i 0.784527 + 0.747397i
\(483\) 1.36560 + 8.62209i 0.0621372 + 0.392319i
\(484\) 7.36277 + 2.00361i 0.334671 + 0.0910731i
\(485\) −9.44236 + 17.7932i −0.428755 + 0.807946i
\(486\) 1.33401 0.469478i 0.0605121 0.0212959i
\(487\) −3.40456 6.68183i −0.154275 0.302782i 0.800913 0.598780i \(-0.204348\pi\)
−0.955189 + 0.295998i \(0.904348\pi\)
\(488\) 5.99095 + 9.90575i 0.271198 + 0.448412i
\(489\) 17.1019 5.55676i 0.773377 0.251285i
\(490\) 35.5165 36.0596i 1.60447 1.62901i
\(491\) 22.0491 + 7.16420i 0.995063 + 0.323316i 0.760891 0.648880i \(-0.224762\pi\)
0.234172 + 0.972195i \(0.424762\pi\)
\(492\) 13.5774 2.83075i 0.612116 0.127620i
\(493\) −1.45755 + 1.45755i −0.0656450 + 0.0656450i
\(494\) −0.130137 0.0898141i −0.00585513 0.00404093i
\(495\) −1.94676 + 5.66867i −0.0875002 + 0.254788i
\(496\) −17.6552 19.9179i −0.792743 0.894340i
\(497\) −77.3065 12.2442i −3.46767 0.549225i
\(498\) 7.96596 + 3.81862i 0.356963 + 0.171117i
\(499\) −30.1851 −1.35127 −0.675636 0.737235i \(-0.736131\pi\)
−0.675636 + 0.737235i \(0.736131\pi\)
\(500\) −21.2561 6.94106i −0.950602 0.310414i
\(501\) −10.6216 −0.474536
\(502\) 6.38979 + 3.06306i 0.285190 + 0.136711i
\(503\) −26.9819 4.27351i −1.20306 0.190546i −0.477455 0.878656i \(-0.658441\pi\)
−0.725607 + 0.688110i \(0.758441\pi\)
\(504\) −10.3671 + 8.75017i −0.461789 + 0.389763i
\(505\) 1.67366 4.87345i 0.0744768 0.216866i
\(506\) 5.67819 + 3.91881i 0.252426 + 0.174212i
\(507\) 2.80920 2.80920i 0.124761 0.124761i
\(508\) 6.68714 + 32.0741i 0.296694 + 1.42306i
\(509\) −29.0971 9.45423i −1.28971 0.419051i −0.417718 0.908577i \(-0.637170\pi\)
−0.871989 + 0.489526i \(0.837170\pi\)
\(510\) −0.782539 + 0.794506i −0.0346514 + 0.0351813i
\(511\) 20.9703 6.81367i 0.927672 0.301419i
\(512\) −17.4609 + 14.3916i −0.771669 + 0.636025i
\(513\) 0.0168945 + 0.0331572i 0.000745909 + 0.00146393i
\(514\) −16.7419 + 5.89197i −0.738455 + 0.259884i
\(515\) −4.76297 + 8.97534i −0.209881 + 0.395501i
\(516\) 2.94337 10.8162i 0.129575 0.476155i
\(517\) −4.81137 30.3778i −0.211604 1.33601i
\(518\) 46.1029 + 43.9210i 2.02565 + 1.92978i
\(519\) −3.71576 2.69966i −0.163104 0.118502i
\(520\) −17.7149 + 6.87531i −0.776850 + 0.301502i
\(521\) 28.5539 20.7457i 1.25097 0.908883i 0.252693 0.967547i \(-0.418684\pi\)
0.998278 + 0.0586631i \(0.0186838\pi\)
\(522\) 8.19350 + 1.09493i 0.358620 + 0.0479237i
\(523\) −4.66469 + 9.15497i −0.203973 + 0.400319i −0.970219 0.242227i \(-0.922122\pi\)
0.766247 + 0.642546i \(0.222122\pi\)
\(524\) 20.6713 1.00264i 0.903031 0.0438006i
\(525\) −23.9687 0.798212i −1.04608 0.0348368i
\(526\) −0.537413 22.1726i −0.0234323 0.966771i
\(527\) −2.09079 1.06531i −0.0910764 0.0464057i
\(528\) −0.644500 + 10.7024i −0.0280483 + 0.465760i
\(529\) 11.5720 + 15.9275i 0.503131 + 0.692501i
\(530\) −15.1922 + 11.2149i −0.659908 + 0.487144i
\(531\) −6.72170 + 9.25163i −0.291697 + 0.401487i
\(532\) −0.264355 0.239896i −0.0114612 0.0104008i
\(533\) 20.5789 3.25938i 0.891371 0.141179i
\(534\) −5.64384 + 18.9179i −0.244233 + 0.818659i
\(535\) 9.36570 + 19.1632i 0.404914 + 0.828497i
\(536\) −23.5875 + 9.60923i −1.01882 + 0.415056i
\(537\) 10.7008 5.45231i 0.461772 0.235285i
\(538\) 7.66305 + 14.1793i 0.330377 + 0.611315i
\(539\) −13.2573 40.8016i −0.571031 1.75745i
\(540\) 4.43710 + 0.558710i 0.190942 + 0.0240431i
\(541\) 5.83972 17.9728i 0.251069 0.772711i −0.743510 0.668725i \(-0.766840\pi\)
0.994579 0.103986i \(-0.0331597\pi\)
\(542\) 34.5292 6.33009i 1.48315 0.271901i
\(543\) −13.7776 13.7776i −0.591252 0.591252i
\(544\) −0.968895 + 1.74379i −0.0415410 + 0.0747642i
\(545\) −1.29055 + 1.71551i −0.0552813 + 0.0734843i
\(546\) −16.1927 + 12.3751i −0.692985 + 0.529606i
\(547\) −4.20606 + 26.5560i −0.179838 + 1.13545i 0.718298 + 0.695736i \(0.244921\pi\)
−0.898136 + 0.439718i \(0.855079\pi\)
\(548\) −13.5652 6.10301i −0.579475 0.260708i
\(549\) 4.09291i 0.174681i
\(550\) −13.5230 + 13.2803i −0.576623 + 0.566272i
\(551\) 0.217518i 0.00926659i
\(552\) 1.99773 4.74437i 0.0850290 0.201934i
\(553\) −1.21667 + 7.68173i −0.0517379 + 0.326660i
\(554\) 11.8737 + 15.5366i 0.504465 + 0.660088i
\(555\) 0.349373 20.9877i 0.0148301 0.890879i
\(556\) −5.40499 + 8.25243i −0.229223 + 0.349981i
\(557\) 27.7402 + 27.7402i 1.17539 + 1.17539i 0.980906 + 0.194483i \(0.0623029\pi\)
0.194483 + 0.980906i \(0.437697\pi\)
\(558\) 1.69687 + 9.25604i 0.0718343 + 0.391840i
\(559\) 5.20373 16.0154i 0.220094 0.677380i
\(560\) −41.6973 + 10.0877i −1.76203 + 0.426284i
\(561\) 0.292099 + 0.898987i 0.0123324 + 0.0379553i
\(562\) −0.423963 + 0.229126i −0.0178838 + 0.00966508i
\(563\) −11.2472 + 5.73075i −0.474014 + 0.241522i −0.674642 0.738145i \(-0.735702\pi\)
0.200628 + 0.979668i \(0.435702\pi\)
\(564\) −21.4564 + 8.14064i −0.903479 + 0.342783i
\(565\) −4.29941 + 0.607786i −0.180877 + 0.0255698i
\(566\) −9.06871 2.70549i −0.381186 0.113720i
\(567\) 4.73734 0.750321i 0.198950 0.0315105i
\(568\) 34.9215 + 30.1803i 1.46527 + 1.26634i
\(569\) −7.12484 + 9.80651i −0.298689 + 0.411110i −0.931812 0.362941i \(-0.881773\pi\)
0.633123 + 0.774051i \(0.281773\pi\)
\(570\) 0.000892935 0.117675i 3.74009e−5 0.00492887i
\(571\) −8.14919 11.2164i −0.341033 0.469391i 0.603710 0.797204i \(-0.293689\pi\)
−0.944743 + 0.327813i \(0.893689\pi\)
\(572\) −1.74599 + 16.0120i −0.0730036 + 0.669495i
\(573\) −7.03665 3.58535i −0.293960 0.149780i
\(574\) 47.0249 1.13978i 1.96278 0.0475733i
\(575\) 8.24130 3.85921i 0.343686 0.160940i
\(576\) 7.91559 1.15909i 0.329816 0.0482954i
\(577\) −6.88925 + 13.5209i −0.286803 + 0.562883i −0.988791 0.149306i \(-0.952296\pi\)
0.701988 + 0.712189i \(0.252296\pi\)
\(578\) 3.16117 23.6555i 0.131487 0.983938i
\(579\) 14.2240 10.3344i 0.591130 0.429481i
\(580\) 21.6262 + 14.6844i 0.897980 + 0.609735i
\(581\) 24.2388 + 17.6105i 1.00560 + 0.730608i
\(582\) 8.78746 9.22402i 0.364252 0.382348i
\(583\) 2.50389 + 15.8089i 0.103700 + 0.654739i
\(584\) −12.6254 3.10918i −0.522441 0.128659i
\(585\) 6.61720 + 1.16128i 0.273588 + 0.0480129i
\(586\) −5.77149 16.3996i −0.238418 0.677461i
\(587\) −14.2971 28.0597i −0.590106 1.15815i −0.972228 0.234037i \(-0.924806\pi\)
0.382121 0.924112i \(-0.375194\pi\)
\(588\) −27.7842 + 15.8973i −1.14580 + 0.655594i
\(589\) −0.235501 + 0.0765188i −0.00970364 + 0.00315290i
\(590\) −32.0957 + 16.6615i −1.32136 + 0.685945i
\(591\) −5.31317 1.72635i −0.218555 0.0710127i
\(592\) −9.43569 36.3443i −0.387805 1.49374i
\(593\) −11.4197 + 11.4197i −0.468950 + 0.468950i −0.901574 0.432624i \(-0.857588\pi\)
0.432624 + 0.901574i \(0.357588\pi\)
\(594\) 2.15316 3.11984i 0.0883452 0.128008i
\(595\) −3.09642 + 2.17187i −0.126941 + 0.0890379i
\(596\) 7.04571 5.66022i 0.288604 0.231852i
\(597\) 17.8476 + 2.82678i 0.730453 + 0.115692i
\(598\) 3.34289 6.97354i 0.136701 0.285169i
\(599\) 2.22321 0.0908378 0.0454189 0.998968i \(-0.485538\pi\)
0.0454189 + 0.998968i \(0.485538\pi\)
\(600\) 11.7598 + 7.85531i 0.480094 + 0.320692i
\(601\) 25.3987 1.03603 0.518017 0.855370i \(-0.326670\pi\)
0.518017 + 0.855370i \(0.326670\pi\)
\(602\) 16.4338 34.2822i 0.669792 1.39724i
\(603\) 8.89404 + 1.40868i 0.362193 + 0.0573658i
\(604\) −36.0302 + 28.9451i −1.46605 + 1.17776i
\(605\) −2.50087 8.15639i −0.101675 0.331604i
\(606\) −1.85111 + 2.68218i −0.0751961 + 0.108956i
\(607\) −26.4929 + 26.4929i −1.07531 + 1.07531i −0.0783895 + 0.996923i \(0.524978\pi\)
−0.996923 + 0.0783895i \(0.975022\pi\)
\(608\) 0.0578204 + 0.202413i 0.00234493 + 0.00820895i
\(609\) 26.6636 + 8.66354i 1.08046 + 0.351064i
\(610\) 5.78829 11.5765i 0.234361 0.468718i
\(611\) −32.7879 + 10.6534i −1.32646 + 0.430992i
\(612\) 0.612173 0.350267i 0.0247456 0.0141587i
\(613\) −20.4288 40.0938i −0.825111 1.61937i −0.784445 0.620199i \(-0.787052\pi\)
−0.0406662 0.999173i \(-0.512948\pi\)
\(614\) 5.92236 + 16.8283i 0.239007 + 0.679135i
\(615\) −10.7807 11.1457i −0.434718 0.449436i
\(616\) −8.69526 + 35.3085i −0.350342 + 1.42262i
\(617\) 1.08266 + 6.83563i 0.0435862 + 0.275192i 0.999850 0.0173129i \(-0.00551115\pi\)
−0.956264 + 0.292505i \(0.905511\pi\)
\(618\) 4.43262 4.65283i 0.178306 0.187164i
\(619\) −21.2578 15.4447i −0.854425 0.620776i 0.0719377 0.997409i \(-0.477082\pi\)
−0.926362 + 0.376633i \(0.877082\pi\)
\(620\) −8.29064 + 28.5798i −0.332960 + 1.14779i
\(621\) −1.47243 + 1.06979i −0.0590867 + 0.0429290i
\(622\) 0.484744 3.62741i 0.0194365 0.145446i
\(623\) −30.3973 + 59.6580i −1.21784 + 2.39015i
\(624\) 11.9617 1.16312i 0.478851 0.0465619i
\(625\) 6.12644 + 24.2377i 0.245058 + 0.969508i
\(626\) −11.7342 + 0.284411i −0.468994 + 0.0113673i
\(627\) 0.0888759 + 0.0452845i 0.00354936 + 0.00180849i
\(628\) −0.900624 + 8.25936i −0.0359388 + 0.329584i
\(629\) −1.94581 2.67818i −0.0775846 0.106786i
\(630\) 14.4603 + 4.57743i 0.576113 + 0.182369i
\(631\) −8.12239 + 11.1795i −0.323347 + 0.445049i −0.939485 0.342589i \(-0.888696\pi\)
0.616138 + 0.787638i \(0.288696\pi\)
\(632\) 2.99893 3.47005i 0.119291 0.138031i
\(633\) 7.81141 1.23721i 0.310476 0.0491745i
\(634\) −38.2314 11.4057i −1.51836 0.452977i
\(635\) 26.3296 25.4674i 1.04486 1.01064i
\(636\) 11.1662 4.23648i 0.442767 0.167987i
\(637\) −42.8473 + 21.8318i −1.69767 + 0.865006i
\(638\) 19.4928 10.5347i 0.771729 0.417071i
\(639\) −5.04271 15.5199i −0.199487 0.613956i
\(640\) 24.0278 + 7.91601i 0.949784 + 0.312908i
\(641\) −4.52717 + 13.9332i −0.178813 + 0.550328i −0.999787 0.0206365i \(-0.993431\pi\)
0.820975 + 0.570965i \(0.193431\pi\)
\(642\) −2.43251 13.2688i −0.0960036 0.523677i
\(643\) −7.98979 7.98979i −0.315087 0.315087i 0.531790 0.846876i \(-0.321520\pi\)
−0.846876 + 0.531790i \(0.821520\pi\)
\(644\) 9.56587 14.6053i 0.376948 0.575530i
\(645\) −11.9820 + 3.67386i −0.471791 + 0.144658i
\(646\) 0.0112693 + 0.0147458i 0.000443385 + 0.000580166i
\(647\) −1.32584 + 8.37100i −0.0521240 + 0.329098i 0.947823 + 0.318797i \(0.103279\pi\)
−0.999947 + 0.0103008i \(0.996721\pi\)
\(648\) −2.60676 1.09764i −0.102403 0.0431192i
\(649\) 30.6525i 1.20322i
\(650\) 17.0739 + 12.6428i 0.669695 + 0.495891i
\(651\) 31.9156i 1.25087i
\(652\) −32.7976 14.7557i −1.28445 0.577879i
\(653\) 2.70934 17.1061i 0.106025 0.669413i −0.876235 0.481885i \(-0.839952\pi\)
0.982259 0.187528i \(-0.0600476\pi\)
\(654\) 1.07876 0.824428i 0.0421827 0.0322377i
\(655\) −13.2870 18.9431i −0.519165 0.740170i
\(656\) −23.9137 14.0560i −0.933671 0.548794i
\(657\) 3.25064 + 3.25064i 0.126820 + 0.126820i
\(658\) −76.5565 + 14.0348i −2.98448 + 0.547133i
\(659\) −5.39595 + 16.6070i −0.210196 + 0.646917i 0.789264 + 0.614054i \(0.210462\pi\)
−0.999460 + 0.0328630i \(0.989538\pi\)
\(660\) 10.5022 5.77917i 0.408797 0.224954i
\(661\) 0.873558 + 2.68854i 0.0339775 + 0.104572i 0.966607 0.256264i \(-0.0824915\pi\)
−0.932629 + 0.360836i \(0.882492\pi\)
\(662\) −1.37619 2.54644i −0.0534872 0.0989701i
\(663\) 0.944059 0.481022i 0.0366642 0.0186813i
\(664\) −6.66575 16.3622i −0.258681 0.634976i
\(665\) −0.0689877 + 0.393107i −0.00267523 + 0.0152440i
\(666\) −3.79526 + 12.7216i −0.147063 + 0.492951i
\(667\) −10.5074 + 1.66421i −0.406849 + 0.0644385i
\(668\) 15.7312 + 14.2758i 0.608660 + 0.552347i
\(669\) −12.4098 + 17.0807i −0.479792 + 0.660377i
\(670\) 23.1639 + 16.5625i 0.894900 + 0.639865i
\(671\) −6.44847 8.87555i −0.248940 0.342637i
\(672\) 27.1150 + 0.974247i 1.04598 + 0.0375824i
\(673\) −30.3795 15.4791i −1.17104 0.596677i −0.243321 0.969946i \(-0.578237\pi\)
−0.927723 + 0.373269i \(0.878237\pi\)
\(674\) −0.423123 17.4572i −0.0162981 0.672427i
\(675\) −2.12041 4.52812i −0.0816148 0.174287i
\(676\) −7.93628 + 0.384941i −0.305242 + 0.0148054i
\(677\) 9.43439 18.5160i 0.362593 0.711629i −0.635581 0.772034i \(-0.719239\pi\)
0.998174 + 0.0604054i \(0.0192393\pi\)
\(678\) 2.72202 + 0.363754i 0.104539 + 0.0139699i
\(679\) 34.9558 25.3969i 1.34148 0.974643i
\(680\) 2.22684 0.124954i 0.0853954 0.00479177i
\(681\) 3.41008 + 2.47757i 0.130675 + 0.0949407i
\(682\) 18.2628 + 17.3984i 0.699318 + 0.666221i
\(683\) 3.51625 + 22.2008i 0.134546 + 0.849488i 0.958968 + 0.283513i \(0.0915001\pi\)
−0.824423 + 0.565975i \(0.808500\pi\)
\(684\) 0.0195428 0.0718149i 0.000747237 0.00274591i
\(685\) 2.32784 + 16.4668i 0.0889421 + 0.629166i
\(686\) −57.6204 + 20.2783i −2.19996 + 0.774229i
\(687\) 7.39023 + 14.5041i 0.281955 + 0.553368i
\(688\) −18.8967 + 12.0635i −0.720428 + 0.459915i
\(689\) 17.0632 5.54416i 0.650055 0.211216i
\(690\) −5.67758 + 0.943456i −0.216142 + 0.0359168i
\(691\) 5.65723 + 1.83814i 0.215211 + 0.0699263i 0.414638 0.909986i \(-0.363908\pi\)
−0.199427 + 0.979913i \(0.563908\pi\)
\(692\) 1.87485 + 8.99250i 0.0712709 + 0.341843i
\(693\) 9.09086 9.09086i 0.345333 0.345333i
\(694\) −16.5889 11.4489i −0.629707 0.434593i
\(695\) 11.0278 + 0.183574i 0.418307 + 0.00696337i
\(696\) −10.6635 12.6340i −0.404199 0.478892i
\(697\) −2.41539 0.382560i −0.0914894 0.0144905i
\(698\) 23.9538 + 11.4827i 0.906663 + 0.434625i
\(699\) −4.01793 −0.151972
\(700\) 34.4264 + 33.3970i 1.30120 + 1.26229i
\(701\) −2.92229 −0.110374 −0.0551868 0.998476i \(-0.517575\pi\)
−0.0551868 + 0.998476i \(0.517575\pi\)
\(702\) −3.83156 1.83672i −0.144613 0.0693227i
\(703\) −0.345031 0.0546475i −0.0130131 0.00206107i
\(704\) 15.3389 14.9847i 0.578108 0.564756i
\(705\) 20.5035 + 15.4245i 0.772208 + 0.580922i
\(706\) 9.73769 + 6.72048i 0.366483 + 0.252929i
\(707\) −7.81557 + 7.81557i −0.293935 + 0.293935i
\(708\) 22.3898 4.66806i 0.841462 0.175436i
\(709\) −17.0212 5.53052i −0.639244 0.207703i −0.0285783 0.999592i \(-0.509098\pi\)
−0.610666 + 0.791889i \(0.709098\pi\)
\(710\) 7.68564 51.0283i 0.288437 1.91506i
\(711\) −1.54216 + 0.501079i −0.0578357 + 0.0187919i
\(712\) 33.7853 20.4332i 1.26616 0.765767i
\(713\) −5.49811 10.7906i −0.205906 0.404113i
\(714\) 2.25640 0.794093i 0.0844437 0.0297182i
\(715\) 16.1792 7.90729i 0.605066 0.295716i
\(716\) −23.1767 6.30700i −0.866153 0.235704i
\(717\) −0.473345 2.98858i −0.0176774 0.111611i
\(718\) 20.8089 + 19.8241i 0.776582 + 0.739827i
\(719\) 22.8599 + 16.6087i 0.852530 + 0.619399i 0.925842 0.377910i \(-0.123357\pi\)
−0.0733124 + 0.997309i \(0.523357\pi\)
\(720\) −5.82071 6.79112i −0.216925 0.253090i
\(721\) 17.6326 12.8108i 0.656673 0.477101i
\(722\) −26.6314 3.55885i −0.991117 0.132447i
\(723\) −7.63669 + 14.9878i −0.284011 + 0.557404i
\(724\) 1.88792 + 38.9231i 0.0701641 + 1.44656i
\(725\) 0.972751 29.2097i 0.0361271 1.08482i
\(726\) 0.130738 + 5.39401i 0.00485216 + 0.200190i
\(727\) 30.9208 + 15.7550i 1.14679 + 0.584319i 0.920887 0.389831i \(-0.127466\pi\)
0.225904 + 0.974150i \(0.427466\pi\)
\(728\) 40.6152 + 3.43529i 1.50530 + 0.127320i
\(729\) 0.587785 + 0.809017i 0.0217698 + 0.0299636i
\(730\) 4.59705 + 13.7913i 0.170145 + 0.510440i
\(731\) −1.16176 + 1.59902i −0.0429692 + 0.0591420i
\(732\) −5.50103 + 6.06188i −0.203324 + 0.224053i
\(733\) −18.5838 + 2.94338i −0.686407 + 0.108716i −0.489890 0.871784i \(-0.662963\pi\)
−0.196517 + 0.980500i \(0.562963\pi\)
\(734\) 12.0878 40.5179i 0.446170 1.49554i
\(735\) 31.6135 + 16.7764i 1.16608 + 0.618808i
\(736\) −9.33539 + 4.34171i −0.344107 + 0.160038i
\(737\) 21.5063 10.9580i 0.792194 0.403643i
\(738\) 4.66276 + 8.62774i 0.171638 + 0.317592i
\(739\) −8.48650 26.1188i −0.312181 0.960794i −0.976899 0.213700i \(-0.931448\pi\)
0.664718 0.747094i \(-0.268552\pi\)
\(740\) −28.7258 + 30.6147i −1.05598 + 1.12542i
\(741\) 0.0345507 0.106336i 0.00126925 0.00390635i
\(742\) 39.8408 7.30386i 1.46260 0.268133i
\(743\) −24.4972 24.4972i −0.898716 0.898716i 0.0966068 0.995323i \(-0.469201\pi\)
−0.995323 + 0.0966068i \(0.969201\pi\)
\(744\) 9.92730 15.9895i 0.363952 0.586203i
\(745\) −9.55661 3.28197i −0.350127 0.120242i
\(746\) 28.5902 21.8498i 1.04676 0.799977i
\(747\) −0.977173 + 6.16963i −0.0357529 + 0.225735i
\(748\) 0.775656 1.72405i 0.0283608 0.0630376i
\(749\) 45.7519i 1.67174i
\(750\) 0.406340 15.8062i 0.0148374 0.577160i
\(751\) 20.0362i 0.731131i 0.930786 + 0.365565i \(0.119124\pi\)
−0.930786 + 0.365565i \(0.880876\pi\)
\(752\) 42.7198 + 16.7815i 1.55783 + 0.611957i
\(753\) −0.783827 + 4.94889i −0.0285642 + 0.180348i
\(754\) −15.0811 19.7335i −0.549221 0.718651i
\(755\) 48.8703 + 16.7832i 1.77857 + 0.610804i
\(756\) −8.02478 5.25589i −0.291858 0.191155i
\(757\) −21.6448 21.6448i −0.786693 0.786693i 0.194257 0.980951i \(-0.437770\pi\)
−0.980951 + 0.194257i \(0.937770\pi\)
\(758\) −2.24486 12.2452i −0.0815368 0.444764i
\(759\) −1.50753 + 4.63970i −0.0547199 + 0.168410i
\(760\) 0.156838 0.175485i 0.00568910 0.00636551i
\(761\) −10.0218 30.8439i −0.363289 1.11809i −0.951045 0.309051i \(-0.899989\pi\)
0.587756 0.809038i \(-0.300011\pi\)
\(762\) −20.3815 + 11.0149i −0.738344 + 0.399029i
\(763\) 4.10289 2.09053i 0.148535 0.0756822i
\(764\) 5.60290 + 14.7677i 0.202706 + 0.534276i
\(765\) −0.696543 0.369637i −0.0251836 0.0133642i
\(766\) −23.4240 6.98815i −0.846345 0.252492i
\(767\) 33.9357 5.37489i 1.22535 0.194076i
\(768\) −13.2814 8.92216i −0.479250 0.321951i
\(769\) 12.5344 17.2521i 0.452001 0.622126i −0.520825 0.853664i \(-0.674376\pi\)
0.972826 + 0.231537i \(0.0743756\pi\)
\(770\) 38.5693 12.8563i 1.38994 0.463309i
\(771\) −7.37674 10.1532i −0.265667 0.365659i
\(772\) −34.9565 3.81175i −1.25811 0.137188i
\(773\) 34.3860 + 17.5205i 1.23678 + 0.630169i 0.945236 0.326389i \(-0.105832\pi\)