Properties

Label 300.2.w.a.67.15
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 67.15
Character \(\chi\) \(=\) 300.67
Dual form 300.2.w.a.103.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.194555 - 1.40077i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-1.92430 + 0.545051i) q^{4} +(1.56105 + 1.60098i) q^{5} +(-0.0269690 + 1.41396i) q^{6} +(1.26539 - 1.26539i) q^{7} +(1.13787 + 2.58945i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\) \(q+(-0.194555 - 1.40077i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-1.92430 + 0.545051i) q^{4} +(1.56105 + 1.60098i) q^{5} +(-0.0269690 + 1.41396i) q^{6} +(1.26539 - 1.26539i) q^{7} +(1.13787 + 2.58945i) q^{8} +(0.951057 + 0.309017i) q^{9} +(1.93889 - 2.49814i) q^{10} +(2.45369 - 0.797253i) q^{11} +(1.98587 - 0.237314i) q^{12} +(0.719314 + 1.41173i) q^{13} +(-2.01871 - 1.52633i) q^{14} +(-1.29138 - 1.82547i) q^{15} +(3.40584 - 2.09768i) q^{16} +(-0.968521 - 6.11500i) q^{17} +(0.247828 - 1.39233i) q^{18} +(4.18468 + 3.04035i) q^{19} +(-3.87653 - 2.22991i) q^{20} +(-1.44777 + 1.05186i) q^{21} +(-1.59414 - 3.28194i) q^{22} +(2.77576 - 5.44773i) q^{23} +(-0.718783 - 2.73557i) q^{24} +(-0.126271 + 4.99841i) q^{25} +(1.83756 - 1.28225i) q^{26} +(-0.891007 - 0.453990i) q^{27} +(-1.74529 + 3.12470i) q^{28} +(-2.10923 - 2.90311i) q^{29} +(-2.30582 + 2.16407i) q^{30} +(-3.46723 + 4.77223i) q^{31} +(-3.60098 - 4.36267i) q^{32} +(-2.54820 + 0.403595i) q^{33} +(-8.37726 + 2.54637i) q^{34} +(4.00121 + 0.0505318i) q^{35} +(-1.99855 - 0.0762659i) q^{36} +(8.50512 - 4.33357i) q^{37} +(3.44467 - 6.45327i) q^{38} +(-0.489614 - 1.50688i) q^{39} +(-2.36939 + 5.86396i) q^{40} +(-2.24529 + 6.91028i) q^{41} +(1.75509 + 1.82334i) q^{42} +(1.96263 + 1.96263i) q^{43} +(-4.28709 + 2.87154i) q^{44} +(0.989913 + 2.00501i) q^{45} +(-8.17104 - 2.82831i) q^{46} +(0.00589566 - 0.0372238i) q^{47} +(-3.69206 + 1.53906i) q^{48} +3.79756i q^{49} +(7.02617 - 0.795586i) q^{50} +6.19122i q^{51} +(-2.15364 - 2.32453i) q^{52} +(-1.13623 + 7.17385i) q^{53} +(-0.462586 + 1.33642i) q^{54} +(5.10671 + 2.68376i) q^{55} +(4.71653 + 1.83682i) q^{56} +(-3.65754 - 3.65754i) q^{57} +(-3.65622 + 3.51935i) q^{58} +(2.91440 - 8.96960i) q^{59} +(3.47997 + 2.80888i) q^{60} +(-0.911425 - 2.80508i) q^{61} +(7.35935 + 3.92832i) q^{62} +(1.59449 - 0.812433i) q^{63} +(-5.41050 + 5.89292i) q^{64} +(-1.13727 + 3.35539i) q^{65} +(1.06111 + 3.49091i) q^{66} +(-6.72692 + 1.06544i) q^{67} +(5.19671 + 11.2392i) q^{68} +(-3.59380 + 4.94644i) q^{69} +(-0.707670 - 5.61459i) q^{70} +(1.78138 + 2.45186i) q^{71} +(0.281995 + 2.81433i) q^{72} +(6.68488 + 3.40612i) q^{73} +(-7.72504 - 11.0706i) q^{74} +(0.906640 - 4.91711i) q^{75} +(-9.70971 - 3.56967i) q^{76} +(2.09605 - 4.11372i) q^{77} +(-2.01553 + 0.979005i) q^{78} +(-3.75981 + 2.73166i) q^{79} +(8.67501 + 2.17810i) q^{80} +(0.809017 + 0.587785i) q^{81} +(10.1165 + 1.80070i) q^{82} +(-1.32439 - 8.36187i) q^{83} +(2.21261 - 2.81320i) q^{84} +(8.27808 - 11.0964i) q^{85} +(2.36735 - 3.13103i) q^{86} +(1.62912 + 3.19732i) q^{87} +(4.85643 + 5.44654i) q^{88} +(-2.83952 + 0.922614i) q^{89} +(2.61596 - 1.77672i) q^{90} +(2.69661 + 0.876183i) q^{91} +(-2.37209 + 11.9960i) q^{92} +(4.17109 - 4.17109i) q^{93} +(-0.0532888 - 0.00101640i) q^{94} +(1.66494 + 11.4457i) q^{95} +(2.87418 + 4.87228i) q^{96} +(-12.1121 - 1.91837i) q^{97} +(5.31949 - 0.738832i) q^{98} +2.57996 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.194555 1.40077i −0.137571 0.990492i
\(3\) −0.987688 0.156434i −0.570242 0.0903175i
\(4\) −1.92430 + 0.545051i −0.962149 + 0.272526i
\(5\) 1.56105 + 1.60098i 0.698121 + 0.715980i
\(6\) −0.0269690 + 1.41396i −0.0110100 + 0.577245i
\(7\) 1.26539 1.26539i 0.478274 0.478274i −0.426305 0.904579i \(-0.640185\pi\)
0.904579 + 0.426305i \(0.140185\pi\)
\(8\) 1.13787 + 2.58945i 0.402298 + 0.915509i
\(9\) 0.951057 + 0.309017i 0.317019 + 0.103006i
\(10\) 1.93889 2.49814i 0.613131 0.789981i
\(11\) 2.45369 0.797253i 0.739816 0.240381i 0.0852225 0.996362i \(-0.472840\pi\)
0.654593 + 0.755981i \(0.272840\pi\)
\(12\) 1.98587 0.237314i 0.573271 0.0685068i
\(13\) 0.719314 + 1.41173i 0.199502 + 0.391544i 0.968984 0.247124i \(-0.0794856\pi\)
−0.769482 + 0.638668i \(0.779486\pi\)
\(14\) −2.01871 1.52633i −0.539523 0.407930i
\(15\) −1.29138 1.82547i −0.333432 0.471334i
\(16\) 3.40584 2.09768i 0.851460 0.524420i
\(17\) −0.968521 6.11500i −0.234901 1.48310i −0.769852 0.638222i \(-0.779670\pi\)
0.534952 0.844883i \(-0.320330\pi\)
\(18\) 0.247828 1.39233i 0.0584137 0.328175i
\(19\) 4.18468 + 3.04035i 0.960031 + 0.697503i 0.953158 0.302473i \(-0.0978122\pi\)
0.00687313 + 0.999976i \(0.497812\pi\)
\(20\) −3.87653 2.22991i −0.866819 0.498623i
\(21\) −1.44777 + 1.05186i −0.315928 + 0.229535i
\(22\) −1.59414 3.28194i −0.339872 0.699712i
\(23\) 2.77576 5.44773i 0.578786 1.13593i −0.397126 0.917764i \(-0.629992\pi\)
0.975912 0.218167i \(-0.0700077\pi\)
\(24\) −0.718783 2.73557i −0.146721 0.558396i
\(25\) −0.126271 + 4.99841i −0.0252543 + 0.999681i
\(26\) 1.83756 1.28225i 0.360376 0.251470i
\(27\) −0.891007 0.453990i −0.171474 0.0873705i
\(28\) −1.74529 + 3.12470i −0.329829 + 0.590512i
\(29\) −2.10923 2.90311i −0.391674 0.539093i 0.566956 0.823748i \(-0.308121\pi\)
−0.958630 + 0.284655i \(0.908121\pi\)
\(30\) −2.30582 + 2.16407i −0.420982 + 0.395104i
\(31\) −3.46723 + 4.77223i −0.622733 + 0.857119i −0.997548 0.0699809i \(-0.977706\pi\)
0.374815 + 0.927100i \(0.377706\pi\)
\(32\) −3.60098 4.36267i −0.636570 0.771219i
\(33\) −2.54820 + 0.403595i −0.443585 + 0.0702569i
\(34\) −8.37726 + 2.54637i −1.43669 + 0.436699i
\(35\) 4.00121 + 0.0505318i 0.676328 + 0.00854144i
\(36\) −1.99855 0.0762659i −0.333091 0.0127110i
\(37\) 8.50512 4.33357i 1.39823 0.712435i 0.417662 0.908602i \(-0.362850\pi\)
0.980570 + 0.196167i \(0.0628495\pi\)
\(38\) 3.44467 6.45327i 0.558799 1.04686i
\(39\) −0.489614 1.50688i −0.0784010 0.241293i
\(40\) −2.36939 + 5.86396i −0.374633 + 0.927173i
\(41\) −2.24529 + 6.91028i −0.350655 + 1.07920i 0.607831 + 0.794066i \(0.292040\pi\)
−0.958486 + 0.285139i \(0.907960\pi\)
\(42\) 1.75509 + 1.82334i 0.270816 + 0.281347i
\(43\) 1.96263 + 1.96263i 0.299299 + 0.299299i 0.840739 0.541440i \(-0.182121\pi\)
−0.541440 + 0.840739i \(0.682121\pi\)
\(44\) −4.28709 + 2.87154i −0.646303 + 0.432901i
\(45\) 0.989913 + 2.00501i 0.147568 + 0.298890i
\(46\) −8.17104 2.82831i −1.20475 0.417012i
\(47\) 0.00589566 0.0372238i 0.000859971 0.00542964i −0.987255 0.159149i \(-0.949125\pi\)
0.988115 + 0.153719i \(0.0491251\pi\)
\(48\) −3.69206 + 1.53906i −0.532902 + 0.222145i
\(49\) 3.79756i 0.542508i
\(50\) 7.02617 0.795586i 0.993650 0.112513i
\(51\) 6.19122i 0.866944i
\(52\) −2.15364 2.32453i −0.298656 0.322354i
\(53\) −1.13623 + 7.17385i −0.156073 + 0.985404i 0.777985 + 0.628283i \(0.216242\pi\)
−0.934058 + 0.357122i \(0.883758\pi\)
\(54\) −0.462586 + 1.33642i −0.0629499 + 0.181864i
\(55\) 5.10671 + 2.68376i 0.688589 + 0.361878i
\(56\) 4.71653 + 1.83682i 0.630273 + 0.245455i
\(57\) −3.65754 3.65754i −0.484453 0.484453i
\(58\) −3.65622 + 3.51935i −0.480085 + 0.462114i
\(59\) 2.91440 8.96960i 0.379422 1.16774i −0.561024 0.827800i \(-0.689592\pi\)
0.940446 0.339942i \(-0.110408\pi\)
\(60\) 3.47997 + 2.80888i 0.449262 + 0.362625i
\(61\) −0.911425 2.80508i −0.116696 0.359153i 0.875601 0.483035i \(-0.160466\pi\)
−0.992297 + 0.123882i \(0.960466\pi\)
\(62\) 7.35935 + 3.92832i 0.934639 + 0.498898i
\(63\) 1.59449 0.812433i 0.200887 0.102357i
\(64\) −5.41050 + 5.89292i −0.676313 + 0.736615i
\(65\) −1.13727 + 3.35539i −0.141061 + 0.416184i
\(66\) 1.06111 + 3.49091i 0.130613 + 0.429702i
\(67\) −6.72692 + 1.06544i −0.821825 + 0.130164i −0.553166 0.833071i \(-0.686580\pi\)
−0.268659 + 0.963235i \(0.586580\pi\)
\(68\) 5.19671 + 11.2392i 0.630194 + 1.36295i
\(69\) −3.59380 + 4.94644i −0.432642 + 0.595481i
\(70\) −0.707670 5.61459i −0.0845827 0.671072i
\(71\) 1.78138 + 2.45186i 0.211411 + 0.290982i 0.901533 0.432711i \(-0.142443\pi\)
−0.690122 + 0.723693i \(0.742443\pi\)
\(72\) 0.281995 + 2.81433i 0.0332335 + 0.331672i
\(73\) 6.68488 + 3.40612i 0.782406 + 0.398656i 0.799095 0.601205i \(-0.205312\pi\)
−0.0166887 + 0.999861i \(0.505312\pi\)
\(74\) −7.72504 11.0706i −0.898017 1.28693i
\(75\) 0.906640 4.91711i 0.104690 0.567779i
\(76\) −9.70971 3.56967i −1.11378 0.409469i
\(77\) 2.09605 4.11372i 0.238867 0.468802i
\(78\) −2.01553 + 0.979005i −0.228214 + 0.110851i
\(79\) −3.75981 + 2.73166i −0.423012 + 0.307336i −0.778848 0.627212i \(-0.784196\pi\)
0.355837 + 0.934548i \(0.384196\pi\)
\(80\) 8.67501 + 2.17810i 0.969896 + 0.243519i
\(81\) 0.809017 + 0.587785i 0.0898908 + 0.0653095i
\(82\) 10.1165 + 1.80070i 1.11718 + 0.198854i
\(83\) −1.32439 8.36187i −0.145371 0.917835i −0.947284 0.320395i \(-0.896185\pi\)
0.801913 0.597440i \(-0.203815\pi\)
\(84\) 2.21261 2.81320i 0.241416 0.306946i
\(85\) 8.27808 11.0964i 0.897884 1.20357i
\(86\) 2.36735 3.13103i 0.255278 0.337628i
\(87\) 1.62912 + 3.19732i 0.174660 + 0.342789i
\(88\) 4.85643 + 5.44654i 0.517697 + 0.580603i
\(89\) −2.83952 + 0.922614i −0.300988 + 0.0977969i −0.455618 0.890176i \(-0.650582\pi\)
0.154630 + 0.987973i \(0.450582\pi\)
\(90\) 2.61596 1.77672i 0.275747 0.187283i
\(91\) 2.69661 + 0.876183i 0.282682 + 0.0918489i
\(92\) −2.37209 + 11.9960i −0.247307 + 1.25067i
\(93\) 4.17109 4.17109i 0.432521 0.432521i
\(94\) −0.0532888 0.00101640i −0.00549632 0.000104834i
\(95\) 1.66494 + 11.4457i 0.170819 + 1.17430i
\(96\) 2.87418 + 4.87228i 0.293345 + 0.497275i
\(97\) −12.1121 1.91837i −1.22980 0.194781i −0.492479 0.870324i \(-0.663909\pi\)
−0.737320 + 0.675543i \(0.763909\pi\)
\(98\) 5.31949 0.738832i 0.537350 0.0746333i
\(99\) 2.57996 0.259296
\(100\) −2.48140 9.68724i −0.248140 0.968724i
\(101\) −18.4944 −1.84026 −0.920129 0.391616i \(-0.871916\pi\)
−0.920129 + 0.391616i \(0.871916\pi\)
\(102\) 8.67246 1.20453i 0.858702 0.119266i
\(103\) −19.8981 3.15155i −1.96062 0.310532i −0.999396 0.0347649i \(-0.988932\pi\)
−0.961225 0.275767i \(-0.911068\pi\)
\(104\) −2.83712 + 3.46900i −0.278203 + 0.340163i
\(105\) −3.94404 0.675836i −0.384899 0.0659549i
\(106\) 10.2700 + 0.195883i 0.997506 + 0.0190258i
\(107\) −9.72003 + 9.72003i −0.939671 + 0.939671i −0.998281 0.0586099i \(-0.981333\pi\)
0.0586099 + 0.998281i \(0.481333\pi\)
\(108\) 1.96201 + 0.387968i 0.188794 + 0.0373323i
\(109\) 9.37929 + 3.04752i 0.898373 + 0.291899i 0.721565 0.692346i \(-0.243423\pi\)
0.176808 + 0.984245i \(0.443423\pi\)
\(110\) 2.76579 7.67545i 0.263708 0.731825i
\(111\) −9.07833 + 2.94973i −0.861677 + 0.279976i
\(112\) 1.65533 6.96412i 0.156414 0.658047i
\(113\) −2.97994 5.84847i −0.280330 0.550178i 0.707313 0.706900i \(-0.249907\pi\)
−0.987643 + 0.156723i \(0.949907\pi\)
\(114\) −4.41177 + 5.83496i −0.413201 + 0.546494i
\(115\) 13.0548 4.06023i 1.21737 0.378618i
\(116\) 5.64113 + 4.43680i 0.523766 + 0.411947i
\(117\) 0.247859 + 1.56492i 0.0229145 + 0.144677i
\(118\) −13.1313 2.33732i −1.20884 0.215168i
\(119\) −8.96344 6.51232i −0.821677 0.596983i
\(120\) 3.25754 5.42111i 0.297372 0.494877i
\(121\) −3.51420 + 2.55321i −0.319473 + 0.232110i
\(122\) −3.75194 + 1.82243i −0.339684 + 0.164995i
\(123\) 3.29865 6.47397i 0.297429 0.583738i
\(124\) 4.07087 11.0730i 0.365575 0.994386i
\(125\) −8.19946 + 7.60058i −0.733382 + 0.679817i
\(126\) −1.44824 2.07545i −0.129020 0.184895i
\(127\) −15.0362 7.66131i −1.33424 0.679831i −0.366182 0.930543i \(-0.619335\pi\)
−0.968062 + 0.250712i \(0.919335\pi\)
\(128\) 9.30724 + 6.43236i 0.822652 + 0.568545i
\(129\) −1.63145 2.24550i −0.143641 0.197705i
\(130\) 4.92138 + 0.940250i 0.431633 + 0.0824653i
\(131\) −2.64378 + 3.63885i −0.230988 + 0.317928i −0.908740 0.417363i \(-0.862954\pi\)
0.677752 + 0.735291i \(0.262954\pi\)
\(132\) 4.68351 2.16554i 0.407648 0.188486i
\(133\) 9.14250 1.44803i 0.792756 0.125560i
\(134\) 2.80119 + 9.21557i 0.241986 + 0.796104i
\(135\) −0.664073 2.13518i −0.0571543 0.183767i
\(136\) 14.7324 9.46601i 1.26330 0.811704i
\(137\) 15.3805 7.83674i 1.31404 0.669538i 0.350367 0.936613i \(-0.386057\pi\)
0.963676 + 0.267074i \(0.0860569\pi\)
\(138\) 7.62800 + 4.07172i 0.649338 + 0.346608i
\(139\) 4.36271 + 13.4270i 0.370040 + 1.13887i 0.946764 + 0.321928i \(0.104331\pi\)
−0.576724 + 0.816939i \(0.695669\pi\)
\(140\) −7.72705 + 2.08363i −0.653055 + 0.176098i
\(141\) −0.0116462 + 0.0358432i −0.000980783 + 0.00301854i
\(142\) 3.08791 2.97232i 0.259131 0.249431i
\(143\) 2.89048 + 2.89048i 0.241714 + 0.241714i
\(144\) 3.88736 0.942552i 0.323947 0.0785460i
\(145\) 1.35521 7.90872i 0.112544 0.656783i
\(146\) 3.47060 10.0266i 0.287229 0.829811i
\(147\) 0.594069 3.75080i 0.0489980 0.309361i
\(148\) −14.0044 + 12.9748i −1.15115 + 1.06652i
\(149\) 17.2353i 1.41197i −0.708227 0.705985i \(-0.750505\pi\)
0.708227 0.705985i \(-0.249495\pi\)
\(150\) −7.06412 0.313344i −0.576783 0.0255844i
\(151\) 9.16179i 0.745576i 0.927917 + 0.372788i \(0.121598\pi\)
−0.927917 + 0.372788i \(0.878402\pi\)
\(152\) −3.11120 + 14.2955i −0.252352 + 1.15952i
\(153\) 0.968521 6.11500i 0.0783002 0.494368i
\(154\) −6.17017 2.13573i −0.497206 0.172102i
\(155\) −13.0528 + 1.89871i −1.04842 + 0.152508i
\(156\) 1.76349 + 2.63281i 0.141192 + 0.210794i
\(157\) −3.35617 3.35617i −0.267851 0.267851i 0.560383 0.828234i \(-0.310654\pi\)
−0.828234 + 0.560383i \(0.810654\pi\)
\(158\) 4.55791 + 4.73516i 0.362608 + 0.376709i
\(159\) 2.24447 6.90778i 0.177998 0.547823i
\(160\) 1.36325 12.5754i 0.107774 0.994175i
\(161\) −3.38110 10.4060i −0.266468 0.820104i
\(162\) 0.665952 1.24760i 0.0523222 0.0980208i
\(163\) 4.84163 2.46694i 0.379226 0.193225i −0.253978 0.967210i \(-0.581739\pi\)
0.633204 + 0.773985i \(0.281739\pi\)
\(164\) 0.554140 14.5212i 0.0432711 1.13392i
\(165\) −4.62400 3.44959i −0.359978 0.268550i
\(166\) −11.4554 + 3.48200i −0.889109 + 0.270256i
\(167\) −16.3746 + 2.59348i −1.26710 + 0.200690i −0.753563 0.657375i \(-0.771667\pi\)
−0.513541 + 0.858065i \(0.671667\pi\)
\(168\) −4.37112 2.55203i −0.337239 0.196894i
\(169\) 6.16563 8.48626i 0.474279 0.652789i
\(170\) −17.1540 9.43681i −1.31565 0.723771i
\(171\) 3.04035 + 4.18468i 0.232501 + 0.320010i
\(172\) −4.84643 2.70696i −0.369537 0.206403i
\(173\) 17.8380 + 9.08892i 1.35620 + 0.691018i 0.972601 0.232483i \(-0.0746849\pi\)
0.383598 + 0.923500i \(0.374685\pi\)
\(174\) 4.16175 2.90407i 0.315501 0.220157i
\(175\) 6.16517 + 6.48473i 0.466043 + 0.490200i
\(176\) 6.68449 7.86238i 0.503863 0.592649i
\(177\) −4.28167 + 8.40325i −0.321830 + 0.631627i
\(178\) 1.84481 + 3.79800i 0.138274 + 0.284672i
\(179\) 16.1069 11.7023i 1.20389 0.874674i 0.209224 0.977868i \(-0.432906\pi\)
0.994661 + 0.103194i \(0.0329062\pi\)
\(180\) −2.99772 3.31868i −0.223437 0.247360i
\(181\) −8.23772 5.98505i −0.612305 0.444866i 0.237920 0.971285i \(-0.423534\pi\)
−0.850225 + 0.526419i \(0.823534\pi\)
\(182\) 0.702690 3.94779i 0.0520868 0.292630i
\(183\) 0.461393 + 2.91312i 0.0341071 + 0.215344i
\(184\) 17.2651 + 0.988871i 1.27280 + 0.0729006i
\(185\) 20.2148 + 6.85161i 1.48622 + 0.503741i
\(186\) −6.65422 5.03122i −0.487911 0.368907i
\(187\) −7.25165 14.2322i −0.530293 1.04076i
\(188\) 0.00894385 + 0.0748430i 0.000652297 + 0.00545849i
\(189\) −1.70195 + 0.552997i −0.123799 + 0.0402246i
\(190\) 15.7088 4.55901i 1.13964 0.330745i
\(191\) −12.1738 3.95551i −0.880866 0.286211i −0.166549 0.986033i \(-0.553262\pi\)
−0.714317 + 0.699823i \(0.753262\pi\)
\(192\) 6.26574 4.97398i 0.452191 0.358966i
\(193\) 3.19755 3.19755i 0.230165 0.230165i −0.582597 0.812761i \(-0.697963\pi\)
0.812761 + 0.582597i \(0.197963\pi\)
\(194\) −0.330723 + 17.3395i −0.0237445 + 1.24490i
\(195\) 1.64817 3.13617i 0.118028 0.224586i
\(196\) −2.06986 7.30763i −0.147847 0.521973i
\(197\) −11.4480 1.81319i −0.815639 0.129184i −0.265343 0.964154i \(-0.585485\pi\)
−0.550296 + 0.834970i \(0.685485\pi\)
\(198\) −0.501944 3.61393i −0.0356716 0.256831i
\(199\) 8.34981 0.591902 0.295951 0.955203i \(-0.404363\pi\)
0.295951 + 0.955203i \(0.404363\pi\)
\(200\) −13.0868 + 5.36057i −0.925376 + 0.379049i
\(201\) 6.81078 0.480395
\(202\) 3.59816 + 25.9063i 0.253166 + 1.82276i
\(203\) −6.34258 1.00457i −0.445162 0.0705067i
\(204\) −3.37453 11.9138i −0.236265 0.834129i
\(205\) −14.5682 + 7.19261i −1.01749 + 0.502354i
\(206\) −0.543321 + 28.4858i −0.0378550 + 1.98470i
\(207\) 4.32335 4.32335i 0.300493 0.300493i
\(208\) 5.41123 + 3.29924i 0.375201 + 0.228761i
\(209\) 12.6918 + 4.12383i 0.877912 + 0.285251i
\(210\) −0.179358 + 5.65617i −0.0123769 + 0.390313i
\(211\) 14.6855 4.77161i 1.01099 0.328491i 0.243743 0.969840i \(-0.421625\pi\)
0.767250 + 0.641348i \(0.221625\pi\)
\(212\) −1.72368 14.4239i −0.118383 0.990639i
\(213\) −1.37589 2.70034i −0.0942745 0.185024i
\(214\) 15.5066 + 11.7244i 1.06001 + 0.801465i
\(215\) −0.0783752 + 6.20590i −0.00534515 + 0.423239i
\(216\) 0.161735 2.82380i 0.0110047 0.192135i
\(217\) 1.65134 + 10.4262i 0.112100 + 0.707775i
\(218\) 2.44408 13.7311i 0.165534 0.929988i
\(219\) −6.06975 4.40993i −0.410155 0.297995i
\(220\) −11.2896 2.38094i −0.761146 0.160523i
\(221\) 7.93607 5.76589i 0.533838 0.387856i
\(222\) 5.89811 + 12.1427i 0.395855 + 0.814967i
\(223\) −3.75855 + 7.37657i −0.251691 + 0.493972i −0.981936 0.189214i \(-0.939406\pi\)
0.730245 + 0.683186i \(0.239406\pi\)
\(224\) −10.0772 0.963835i −0.673309 0.0643990i
\(225\) −1.66468 + 4.71475i −0.110979 + 0.314316i
\(226\) −7.61258 + 5.31205i −0.506381 + 0.353353i
\(227\) 24.4631 + 12.4646i 1.62367 + 0.827303i 0.998919 + 0.0464825i \(0.0148012\pi\)
0.624755 + 0.780821i \(0.285199\pi\)
\(228\) 9.03175 + 5.04465i 0.598142 + 0.334090i
\(229\) 10.4537 + 14.3883i 0.690803 + 0.950808i 1.00000 0.000189558i \(-6.03382e-5\pi\)
−0.309197 + 0.950998i \(0.600060\pi\)
\(230\) −8.22731 17.4968i −0.542492 1.15370i
\(231\) −2.71377 + 3.73518i −0.178553 + 0.245757i
\(232\) 5.11742 8.76511i 0.335975 0.575457i
\(233\) −5.32769 + 0.843823i −0.349029 + 0.0552807i −0.328488 0.944508i \(-0.606539\pi\)
−0.0205411 + 0.999789i \(0.506539\pi\)
\(234\) 2.14386 0.651654i 0.140149 0.0426000i
\(235\) 0.0687979 0.0486692i 0.00448788 0.00317483i
\(236\) −0.719278 + 18.8487i −0.0468210 + 1.22694i
\(237\) 4.14085 2.10987i 0.268977 0.137051i
\(238\) −7.37837 + 13.8227i −0.478268 + 0.895992i
\(239\) 3.11661 + 9.59193i 0.201596 + 0.620450i 0.999836 + 0.0181100i \(0.00576491\pi\)
−0.798240 + 0.602340i \(0.794235\pi\)
\(240\) −8.22748 3.50836i −0.531082 0.226463i
\(241\) −1.59822 + 4.91881i −0.102950 + 0.316848i −0.989244 0.146275i \(-0.953271\pi\)
0.886294 + 0.463124i \(0.153271\pi\)
\(242\) 4.26016 + 4.42583i 0.273854 + 0.284503i
\(243\) −0.707107 0.707107i −0.0453609 0.0453609i
\(244\) 3.28276 + 4.90103i 0.210157 + 0.313756i
\(245\) −6.07981 + 5.92816i −0.388425 + 0.378736i
\(246\) −9.71028 3.36110i −0.619105 0.214296i
\(247\) −1.28206 + 8.09461i −0.0815756 + 0.515048i
\(248\) −16.3027 3.54804i −1.03522 0.225300i
\(249\) 8.46610i 0.536518i
\(250\) 12.2419 + 10.0068i 0.774245 + 0.632886i
\(251\) 13.6267i 0.860111i −0.902803 0.430055i \(-0.858494\pi\)
0.902803 0.430055i \(-0.141506\pi\)
\(252\) −2.62545 + 2.43244i −0.165388 + 0.153229i
\(253\) 2.46764 15.5800i 0.155139 0.979508i
\(254\) −7.80635 + 22.5527i −0.489814 + 1.41508i
\(255\) −9.91202 + 9.66478i −0.620715 + 0.605232i
\(256\) 7.19947 14.2887i 0.449967 0.893045i
\(257\) 10.7300 + 10.7300i 0.669319 + 0.669319i 0.957558 0.288239i \(-0.0930698\pi\)
−0.288239 + 0.957558i \(0.593070\pi\)
\(258\) −2.82801 + 2.72215i −0.176064 + 0.169474i
\(259\) 5.27865 16.2460i 0.327999 1.00948i
\(260\) 0.359594 7.07663i 0.0223011 0.438874i
\(261\) −1.10889 3.41281i −0.0686384 0.211247i
\(262\) 5.61154 + 2.99536i 0.346682 + 0.185054i
\(263\) −16.1259 + 8.21657i −0.994367 + 0.506655i −0.873923 0.486065i \(-0.838432\pi\)
−0.120444 + 0.992720i \(0.538432\pi\)
\(264\) −3.94461 6.13920i −0.242774 0.377841i
\(265\) −13.2589 + 9.37963i −0.814487 + 0.576186i
\(266\) −3.80707 12.5248i −0.233426 0.767945i
\(267\) 2.94888 0.467057i 0.180469 0.0285835i
\(268\) 12.3639 5.71674i 0.755244 0.349206i
\(269\) −9.43653 + 12.9883i −0.575355 + 0.791908i −0.993177 0.116621i \(-0.962794\pi\)
0.417821 + 0.908529i \(0.362794\pi\)
\(270\) −2.86170 + 1.34562i −0.174157 + 0.0818919i
\(271\) 1.76045 + 2.42305i 0.106940 + 0.147190i 0.859132 0.511753i \(-0.171004\pi\)
−0.752193 + 0.658943i \(0.771004\pi\)
\(272\) −16.1259 18.7950i −0.977779 1.13962i
\(273\) −2.52635 1.28724i −0.152902 0.0779072i
\(274\) −13.9698 20.0198i −0.843946 1.20944i
\(275\) 3.67516 + 12.3652i 0.221621 + 0.745650i
\(276\) 4.21947 11.4772i 0.253982 0.690847i
\(277\) −7.87265 + 15.4509i −0.473022 + 0.928357i 0.524036 + 0.851696i \(0.324426\pi\)
−0.997057 + 0.0766608i \(0.975574\pi\)
\(278\) 17.9594 8.72344i 1.07713 0.523197i
\(279\) −4.77223 + 3.46723i −0.285706 + 0.207578i
\(280\) 4.42201 + 10.4184i 0.264266 + 0.622620i
\(281\) −8.05625 5.85321i −0.480595 0.349173i 0.320961 0.947092i \(-0.395994\pi\)
−0.801556 + 0.597920i \(0.795994\pi\)
\(282\) 0.0524738 + 0.00934010i 0.00312477 + 0.000556195i
\(283\) −1.77033 11.1775i −0.105235 0.664431i −0.982758 0.184896i \(-0.940805\pi\)
0.877523 0.479535i \(-0.159195\pi\)
\(284\) −4.76429 3.74716i −0.282709 0.222353i
\(285\) 0.146059 11.5652i 0.00865180 0.685066i
\(286\) 3.48653 4.61125i 0.206163 0.272669i
\(287\) 5.90306 + 11.5854i 0.348446 + 0.683865i
\(288\) −2.07660 5.26191i −0.122365 0.310061i
\(289\) −20.2872 + 6.59171i −1.19337 + 0.387748i
\(290\) −11.3419 0.359655i −0.666021 0.0211197i
\(291\) 11.6629 + 3.78951i 0.683691 + 0.222145i
\(292\) −14.7202 2.91078i −0.861435 0.170340i
\(293\) −19.4066 + 19.4066i −1.13375 + 1.13375i −0.144199 + 0.989549i \(0.546060\pi\)
−0.989549 + 0.144199i \(0.953940\pi\)
\(294\) −5.36958 0.102416i −0.313160 0.00597303i
\(295\) 18.9097 9.33606i 1.10096 0.543566i
\(296\) 20.8993 + 17.0925i 1.21475 + 0.993483i
\(297\) −2.54820 0.403595i −0.147862 0.0234190i
\(298\) −24.1426 + 3.35320i −1.39854 + 0.194246i
\(299\) 9.68738 0.560236
\(300\) 0.935435 + 9.95615i 0.0540074 + 0.574819i
\(301\) 4.96701 0.286294
\(302\) 12.8335 1.78247i 0.738487 0.102570i
\(303\) 18.2667 + 2.89315i 1.04939 + 0.166207i
\(304\) 20.6300 + 1.57681i 1.18321 + 0.0904361i
\(305\) 3.06809 5.83803i 0.175679 0.334284i
\(306\) −8.75412 0.166971i −0.500440 0.00954509i
\(307\) 3.83564 3.83564i 0.218912 0.218912i −0.589128 0.808040i \(-0.700529\pi\)
0.808040 + 0.589128i \(0.200529\pi\)
\(308\) −1.79123 + 9.05848i −0.102065 + 0.516155i
\(309\) 19.1601 + 6.22550i 1.08998 + 0.354157i
\(310\) 5.19913 + 17.9145i 0.295290 + 1.01747i
\(311\) −7.89005 + 2.56363i −0.447404 + 0.145370i −0.524049 0.851688i \(-0.675579\pi\)
0.0766452 + 0.997058i \(0.475579\pi\)
\(312\) 3.34487 2.98246i 0.189366 0.168849i
\(313\) −8.49876 16.6797i −0.480378 0.942795i −0.996282 0.0861488i \(-0.972544\pi\)
0.515904 0.856646i \(-0.327456\pi\)
\(314\) −4.04825 + 5.35417i −0.228456 + 0.302153i
\(315\) 3.78976 + 1.28450i 0.213529 + 0.0723734i
\(316\) 5.74609 7.30582i 0.323243 0.410984i
\(317\) −0.165705 1.04622i −0.00930692 0.0587616i 0.982598 0.185746i \(-0.0594702\pi\)
−0.991905 + 0.126984i \(0.959470\pi\)
\(318\) −10.1129 1.80005i −0.567101 0.100942i
\(319\) −7.48991 5.44174i −0.419354 0.304679i
\(320\) −17.8805 + 0.537016i −0.999549 + 0.0300201i
\(321\) 11.1209 8.07981i 0.620709 0.450971i
\(322\) −13.9185 + 6.76066i −0.775648 + 0.376757i
\(323\) 14.5388 28.5339i 0.808959 1.58767i
\(324\) −1.87716 0.690118i −0.104287 0.0383399i
\(325\) −7.14724 + 3.41716i −0.396458 + 0.189550i
\(326\) −4.39756 6.30205i −0.243559 0.349038i
\(327\) −8.78708 4.47724i −0.485927 0.247592i
\(328\) −20.4487 + 2.04895i −1.12909 + 0.113134i
\(329\) −0.0396424 0.0545630i −0.00218555 0.00300816i
\(330\) −3.93244 + 7.14829i −0.216474 + 0.393500i
\(331\) 18.5262 25.4991i 1.01829 1.40156i 0.104899 0.994483i \(-0.466548\pi\)
0.913394 0.407077i \(-0.133452\pi\)
\(332\) 7.10617 + 15.3689i 0.390002 + 0.843476i
\(333\) 9.42800 1.49325i 0.516651 0.0818295i
\(334\) 6.81862 + 22.4324i 0.373098 + 1.22745i
\(335\) −12.2068 9.10647i −0.666928 0.497539i
\(336\) −2.72438 + 6.61943i −0.148627 + 0.361119i
\(337\) −18.0272 + 9.18532i −0.982004 + 0.500356i −0.869840 0.493333i \(-0.835778\pi\)
−0.112164 + 0.993690i \(0.535778\pi\)
\(338\) −13.0868 6.98557i −0.711830 0.379965i
\(339\) 2.02835 + 6.24263i 0.110165 + 0.339053i
\(340\) −9.88139 + 25.8647i −0.535894 + 1.40271i
\(341\) −4.70284 + 14.4738i −0.254673 + 0.783803i
\(342\) 5.27025 5.07297i 0.284982 0.274315i
\(343\) 13.6632 + 13.6632i 0.737741 + 0.737741i
\(344\) −2.84892 + 7.31537i −0.153603 + 0.394418i
\(345\) −13.5292 + 1.96802i −0.728389 + 0.105955i
\(346\) 9.26099 26.7552i 0.497874 1.43837i
\(347\) 0.0503563 0.317937i 0.00270327 0.0170678i −0.986300 0.164963i \(-0.947250\pi\)
0.989003 + 0.147895i \(0.0472497\pi\)
\(348\) −4.87761 5.26464i −0.261467 0.282214i
\(349\) 1.90739i 0.102100i 0.998696 + 0.0510501i \(0.0162568\pi\)
−0.998696 + 0.0510501i \(0.983743\pi\)
\(350\) 7.88414 9.89760i 0.421425 0.529049i
\(351\) 1.58442i 0.0845703i
\(352\) −12.3139 7.83376i −0.656331 0.417541i
\(353\) 1.39657 8.81760i 0.0743319 0.469313i −0.922242 0.386612i \(-0.873645\pi\)
0.996574 0.0827014i \(-0.0263548\pi\)
\(354\) 12.6040 + 4.36273i 0.669896 + 0.231877i
\(355\) −1.14456 + 6.67941i −0.0607469 + 0.354506i
\(356\) 4.96120 3.32307i 0.262943 0.176122i
\(357\) 7.83433 + 7.83433i 0.414637 + 0.414637i
\(358\) −19.5259 20.2853i −1.03198 1.07211i
\(359\) 6.39407 19.6789i 0.337466 1.03861i −0.628028 0.778191i \(-0.716138\pi\)
0.965494 0.260424i \(-0.0838623\pi\)
\(360\) −4.06548 + 4.84477i −0.214270 + 0.255342i
\(361\) 2.39650 + 7.37568i 0.126132 + 0.388193i
\(362\) −6.78098 + 12.7035i −0.356400 + 0.667684i
\(363\) 3.87034 1.97204i 0.203140 0.103505i
\(364\) −5.66665 0.216243i −0.297013 0.0113342i
\(365\) 4.98228 + 16.0195i 0.260785 + 0.838497i
\(366\) 3.99084 1.21306i 0.208604 0.0634079i
\(367\) 15.3559 2.43213i 0.801569 0.126956i 0.257808 0.966196i \(-0.417000\pi\)
0.543761 + 0.839240i \(0.317000\pi\)
\(368\) −1.97382 24.3768i −0.102893 1.27073i
\(369\) −4.27079 + 5.87824i −0.222328 + 0.306009i
\(370\) 5.66462 29.6493i 0.294490 1.54139i
\(371\) 7.63997 + 10.5155i 0.396648 + 0.545939i
\(372\) −5.75295 + 10.2999i −0.298277 + 0.534023i
\(373\) −6.75054 3.43957i −0.349530 0.178094i 0.270407 0.962746i \(-0.412842\pi\)
−0.619937 + 0.784652i \(0.712842\pi\)
\(374\) −18.5251 + 12.9268i −0.957910 + 0.668429i
\(375\) 9.28750 6.22433i 0.479605 0.321423i
\(376\) 0.103098 0.0270893i 0.00531685 0.00139702i
\(377\) 2.58121 5.06591i 0.132939 0.260908i
\(378\) 1.10574 + 2.27645i 0.0568733 + 0.117088i
\(379\) −28.3717 + 20.6132i −1.45735 + 1.05883i −0.473312 + 0.880895i \(0.656942\pi\)
−0.984042 + 0.177935i \(0.943058\pi\)
\(380\) −9.44234 21.1175i −0.484382 1.08330i
\(381\) 13.6525 + 9.91916i 0.699441 + 0.508174i
\(382\) −3.17228 + 17.8222i −0.162308 + 0.911864i
\(383\) 1.80034 + 11.3669i 0.0919932 + 0.580822i 0.990025 + 0.140892i \(0.0449970\pi\)
−0.898032 + 0.439931i \(0.855003\pi\)
\(384\) −8.18641 7.80914i −0.417761 0.398508i
\(385\) 9.85801 3.06598i 0.502411 0.156257i
\(386\) −5.10113 3.85693i −0.259640 0.196313i
\(387\) 1.26009 + 2.47306i 0.0640539 + 0.125713i
\(388\) 24.3529 2.91021i 1.23633 0.147744i
\(389\) −9.99966 + 3.24909i −0.507003 + 0.164735i −0.551339 0.834282i \(-0.685883\pi\)
0.0443360 + 0.999017i \(0.485883\pi\)
\(390\) −4.71370 1.69855i −0.238687 0.0860092i
\(391\) −36.0013 11.6975i −1.82066 0.591569i
\(392\) −9.83358 + 4.32113i −0.496671 + 0.218250i
\(393\) 3.18047 3.18047i 0.160434 0.160434i
\(394\) −0.312590 + 16.3888i −0.0157481 + 0.825656i
\(395\) −10.2426 1.75513i −0.515360 0.0883101i
\(396\) −4.96462 + 1.40621i −0.249481 + 0.0706648i
\(397\) −6.35706 1.00686i −0.319052 0.0505328i −0.00514536 0.999987i \(-0.501638\pi\)
−0.313906 + 0.949454i \(0.601638\pi\)
\(398\) −1.62449 11.6961i −0.0814285 0.586274i
\(399\) −9.25647 −0.463403
\(400\) 10.0550 + 17.2886i 0.502750 + 0.864432i
\(401\) 21.4858 1.07295 0.536476 0.843916i \(-0.319755\pi\)
0.536476 + 0.843916i \(0.319755\pi\)
\(402\) −1.32507 9.54031i −0.0660884 0.475827i
\(403\) −9.23115 1.46207i −0.459836 0.0728309i
\(404\) 35.5886 10.0804i 1.77060 0.501517i
\(405\) 0.321880 + 2.21278i 0.0159944 + 0.109954i
\(406\) −0.173185 + 9.07992i −0.00859503 + 0.450629i
\(407\) 17.4140 17.4140i 0.863179 0.863179i
\(408\) −16.0319 + 7.04481i −0.793695 + 0.348770i
\(409\) 25.1912 + 8.18512i 1.24563 + 0.404728i 0.856351 0.516394i \(-0.172726\pi\)
0.389274 + 0.921122i \(0.372726\pi\)
\(410\) 12.9095 + 19.0073i 0.637554 + 0.938705i
\(411\) −16.4171 + 5.33422i −0.809794 + 0.263118i
\(412\) 40.0077 4.78097i 1.97104 0.235542i
\(413\) −7.66221 15.0379i −0.377033 0.739968i
\(414\) −6.89713 5.21487i −0.338975 0.256297i
\(415\) 11.3198 15.1736i 0.555665 0.744842i
\(416\) 3.56869 8.22176i 0.174969 0.403105i
\(417\) −2.20855 13.9442i −0.108153 0.682851i
\(418\) 3.30727 18.5806i 0.161764 0.908807i
\(419\) 24.4346 + 17.7528i 1.19371 + 0.867280i 0.993651 0.112504i \(-0.0358871\pi\)
0.200058 + 0.979784i \(0.435887\pi\)
\(420\) 7.95787 0.849195i 0.388304 0.0414365i
\(421\) 30.7065 22.3096i 1.49655 1.08730i 0.524814 0.851217i \(-0.324135\pi\)
0.971732 0.236087i \(-0.0758650\pi\)
\(422\) −9.54105 19.6426i −0.464451 0.956189i
\(423\) 0.0171099 0.0335800i 0.000831911 0.00163272i
\(424\) −19.8692 + 5.22071i −0.964934 + 0.253540i
\(425\) 30.6875 4.06891i 1.48856 0.197371i
\(426\) −3.51486 + 2.45267i −0.170296 + 0.118832i
\(427\) −4.70284 2.39622i −0.227586 0.115961i
\(428\) 13.4063 24.0021i 0.648019 1.16019i
\(429\) −2.40272 3.30707i −0.116005 0.159667i
\(430\) 8.70827 1.09760i 0.419950 0.0529310i
\(431\) 2.67391 3.68032i 0.128798 0.177275i −0.739748 0.672884i \(-0.765055\pi\)
0.868545 + 0.495609i \(0.165055\pi\)
\(432\) −3.98695 + 0.322830i −0.191822 + 0.0155321i
\(433\) −12.1409 + 1.92293i −0.583456 + 0.0924104i −0.441183 0.897417i \(-0.645441\pi\)
−0.142273 + 0.989827i \(0.545441\pi\)
\(434\) 14.2834 4.34161i 0.685623 0.208404i
\(435\) −2.57572 + 7.59935i −0.123496 + 0.364361i
\(436\) −19.7096 0.752132i −0.943919 0.0360206i
\(437\) 28.1787 14.3577i 1.34797 0.686824i
\(438\) −4.99639 + 9.36027i −0.238737 + 0.447251i
\(439\) −4.19717 12.9175i −0.200320 0.616521i −0.999873 0.0159259i \(-0.994930\pi\)
0.799553 0.600595i \(-0.205070\pi\)
\(440\) −1.13869 + 16.2773i −0.0542849 + 0.775992i
\(441\) −1.17351 + 3.61169i −0.0558814 + 0.171985i
\(442\) −9.62067 9.99481i −0.457609 0.475405i
\(443\) 10.9593 + 10.9593i 0.520692 + 0.520692i 0.917780 0.397088i \(-0.129979\pi\)
−0.397088 + 0.917780i \(0.629979\pi\)
\(444\) 15.8616 10.6243i 0.752760 0.504207i
\(445\) −5.90970 3.10576i −0.280147 0.147227i
\(446\) 11.0641 + 3.82971i 0.523900 + 0.181342i
\(447\) −2.69619 + 17.0231i −0.127526 + 0.805164i
\(448\) 0.610449 + 14.3033i 0.0288410 + 0.675766i
\(449\) 30.6804i 1.44790i −0.689853 0.723950i \(-0.742325\pi\)
0.689853 0.723950i \(-0.257675\pi\)
\(450\) 6.92813 + 1.41456i 0.326595 + 0.0666829i
\(451\) 18.7458i 0.882703i
\(452\) 8.92201 + 9.62997i 0.419656 + 0.452956i
\(453\) 1.43322 9.04900i 0.0673386 0.425159i
\(454\) 12.7006 36.6922i 0.596067 1.72205i
\(455\) 2.80679 + 5.68498i 0.131584 + 0.266516i
\(456\) 5.30921 13.6328i 0.248627 0.638416i
\(457\) −4.67954 4.67954i −0.218900 0.218900i 0.589135 0.808035i \(-0.299469\pi\)
−0.808035 + 0.589135i \(0.799469\pi\)
\(458\) 18.1209 17.4426i 0.846734 0.815038i
\(459\) −1.91319 + 5.88820i −0.0893002 + 0.274838i
\(460\) −22.9083 + 14.9286i −1.06810 + 0.696051i
\(461\) −2.33115 7.17453i −0.108572 0.334151i 0.881980 0.471287i \(-0.156210\pi\)
−0.990552 + 0.137136i \(0.956210\pi\)
\(462\) 5.76010 + 3.07466i 0.267984 + 0.143046i
\(463\) −15.1118 + 7.69983i −0.702303 + 0.357841i −0.768398 0.639972i \(-0.778946\pi\)
0.0660950 + 0.997813i \(0.478946\pi\)
\(464\) −13.2735 5.46302i −0.616206 0.253614i
\(465\) 13.1891 + 0.166567i 0.611629 + 0.00772435i
\(466\) 2.21853 + 7.29869i 0.102771 + 0.338105i
\(467\) 6.42804 1.01810i 0.297454 0.0471121i −0.00592362 0.999982i \(-0.501886\pi\)
0.303378 + 0.952870i \(0.401886\pi\)
\(468\) −1.32991 2.87627i −0.0614753 0.132956i
\(469\) −7.16401 + 9.86041i −0.330803 + 0.455311i
\(470\) −0.0815591 0.0869010i −0.00376204 0.00400844i
\(471\) 2.78983 + 3.83987i 0.128549 + 0.176932i
\(472\) 26.5425 2.65955i 1.22172 0.122416i
\(473\) 6.38042 + 3.25098i 0.293372 + 0.149480i
\(474\) −3.76105 5.38988i −0.172751 0.247565i
\(475\) −15.7253 + 20.5328i −0.721526 + 0.942110i
\(476\) 20.7979 + 7.64610i 0.953269 + 0.350459i
\(477\) −3.29746 + 6.47162i −0.150980 + 0.296315i
\(478\) 12.8297 6.23179i 0.586817 0.285036i
\(479\) −5.30790 + 3.85642i −0.242524 + 0.176204i −0.702407 0.711775i \(-0.747891\pi\)
0.459883 + 0.887980i \(0.347891\pi\)
\(480\) −3.31370 + 12.2074i −0.151249 + 0.557187i
\(481\) 12.2357 + 8.88975i 0.557900 + 0.405338i
\(482\) 7.20104 + 1.28175i 0.327999 + 0.0583823i
\(483\) 1.71162 + 10.8068i 0.0778815 + 0.491725i
\(484\) 5.37073 6.82856i 0.244124 0.310389i
\(485\) −15.8363 22.3859i −0.719089 1.01649i
\(486\) −0.852921 + 1.12806i −0.0386893 + 0.0511700i
\(487\) −12.8302 25.1807i −0.581391 1.14104i −0.975091 0.221806i \(-0.928805\pi\)
0.393700 0.919239i \(-0.371195\pi\)
\(488\) 6.22652 5.55190i 0.281861 0.251323i
\(489\) −5.16794 + 1.67917i −0.233702 + 0.0759345i
\(490\) 9.48683 + 7.36305i 0.428571 + 0.332629i
\(491\) 9.75331 + 3.16904i 0.440161 + 0.143017i 0.520710 0.853734i \(-0.325667\pi\)
−0.0805490 + 0.996751i \(0.525667\pi\)
\(492\) −2.81894 + 14.2558i −0.127088 + 0.642700i
\(493\) −15.7097 + 15.7097i −0.707527 + 0.707527i
\(494\) 11.5881 + 0.221024i 0.521373 + 0.00994436i
\(495\) 4.02744 + 4.13047i 0.181020 + 0.185651i
\(496\) −1.79820 + 23.5266i −0.0807416 + 1.05638i
\(497\) 5.35671 + 0.848420i 0.240281 + 0.0380568i
\(498\) 11.8590 1.64712i 0.531416 0.0738092i
\(499\) −12.4397 −0.556877 −0.278438 0.960454i \(-0.589817\pi\)
−0.278438 + 0.960454i \(0.589817\pi\)
\(500\) 11.6355 19.0949i 0.520355 0.853950i
\(501\) 16.5787 0.740682
\(502\) −19.0879 + 2.65114i −0.851933 + 0.118326i
\(503\) −37.7591 5.98046i −1.68360 0.266655i −0.759972 0.649956i \(-0.774787\pi\)
−0.923624 + 0.383300i \(0.874787\pi\)
\(504\) 3.91808 + 3.20441i 0.174525 + 0.142736i
\(505\) −28.8705 29.6091i −1.28472 1.31759i
\(506\) −22.3041 0.425415i −0.991538 0.0189120i
\(507\) −7.41727 + 7.41727i −0.329412 + 0.329412i
\(508\) 33.1098 + 6.54715i 1.46901 + 0.290483i
\(509\) 8.26830 + 2.68653i 0.366486 + 0.119078i 0.486470 0.873697i \(-0.338284\pi\)
−0.119984 + 0.992776i \(0.538284\pi\)
\(510\) 15.4665 + 12.0041i 0.684870 + 0.531551i
\(511\) 12.7691 4.14893i 0.564871 0.183538i
\(512\) −21.4159 7.30484i −0.946457 0.322831i
\(513\) −2.34829 4.60877i −0.103679 0.203482i
\(514\) 12.9427 17.1178i 0.570876 0.755034i
\(515\) −26.0163 36.7762i −1.14642 1.62055i
\(516\) 4.36330 + 3.43178i 0.192084 + 0.151076i
\(517\) −0.0152106 0.0960359i −0.000668961 0.00422366i
\(518\) −23.7839 4.23342i −1.04500 0.186006i
\(519\) −16.1966 11.7675i −0.710950 0.516536i
\(520\) −9.98267 + 0.873083i −0.437769 + 0.0382872i
\(521\) −16.2717 + 11.8221i −0.712877 + 0.517935i −0.884100 0.467297i \(-0.845228\pi\)
0.171224 + 0.985232i \(0.445228\pi\)
\(522\) −4.56481 + 2.21727i −0.199796 + 0.0970473i
\(523\) 12.0208 23.5921i 0.525632 1.03161i −0.463708 0.885988i \(-0.653481\pi\)
0.989340 0.145623i \(-0.0465186\pi\)
\(524\) 3.10406 8.44322i 0.135601 0.368844i
\(525\) −5.07483 7.36934i −0.221484 0.321624i
\(526\) 14.6469 + 20.9901i 0.638634 + 0.915212i
\(527\) 32.5403 + 16.5801i 1.41748 + 0.722241i
\(528\) −7.83214 + 6.71989i −0.340850 + 0.292446i
\(529\) −8.45390 11.6358i −0.367561 0.505904i
\(530\) 15.7183 + 16.7478i 0.682758 + 0.727476i
\(531\) 5.54352 7.62999i 0.240568 0.331114i
\(532\) −16.8036 + 7.76957i −0.728530 + 0.336854i
\(533\) −11.3705 + 1.80092i −0.492513 + 0.0780063i
\(534\) −1.22796 4.03983i −0.0531389 0.174821i
\(535\) −30.7350 0.388157i −1.32879 0.0167815i
\(536\) −10.4133 16.2067i −0.449785 0.700023i
\(537\) −17.7392 + 9.03859i −0.765505 + 0.390044i
\(538\) 20.0295 + 10.6914i 0.863531 + 0.460941i
\(539\) 3.02761 + 9.31803i 0.130408 + 0.401356i
\(540\) 2.44166 + 3.74677i 0.105072 + 0.161235i
\(541\) 5.50745 16.9502i 0.236784 0.728746i −0.760096 0.649811i \(-0.774848\pi\)
0.996880 0.0789350i \(-0.0251520\pi\)
\(542\) 3.05162 2.93739i 0.131078 0.126172i
\(543\) 7.20003 + 7.20003i 0.308983 + 0.308983i
\(544\) −23.1901 + 26.2453i −0.994268 + 1.12526i
\(545\) 9.76249 + 19.7734i 0.418179 + 0.846998i
\(546\) −1.31161 + 3.78926i −0.0561317 + 0.162166i
\(547\) −3.96056 + 25.0060i −0.169341 + 1.06918i 0.745837 + 0.666129i \(0.232050\pi\)
−0.915178 + 0.403050i \(0.867950\pi\)
\(548\) −25.3252 + 23.4634i −1.08184 + 1.00231i
\(549\) 2.94943i 0.125879i
\(550\) 16.6058 7.55375i 0.708072 0.322093i
\(551\) 18.5614i 0.790740i
\(552\) −16.8978 3.67755i −0.719219 0.156527i
\(553\) −1.30101 + 8.21427i −0.0553247 + 0.349306i
\(554\) 23.1748 + 8.02169i 0.984604 + 0.340809i
\(555\) −18.8941 9.92956i −0.802011 0.421486i
\(556\) −15.7136 23.4597i −0.666404 0.994914i
\(557\) 10.1259 + 10.1259i 0.429048 + 0.429048i 0.888304 0.459256i \(-0.151884\pi\)
−0.459256 + 0.888304i \(0.651884\pi\)
\(558\) 5.78524 + 6.01022i 0.244909 + 0.254433i
\(559\) −1.35897 + 4.18247i −0.0574781 + 0.176899i
\(560\) 13.7335 8.22116i 0.580345 0.347407i
\(561\) 4.93597 + 15.1913i 0.208397 + 0.641379i
\(562\) −6.63160 + 12.4237i −0.279737 + 0.524062i
\(563\) −38.7259 + 19.7318i −1.63210 + 0.831597i −0.633789 + 0.773506i \(0.718501\pi\)
−0.998311 + 0.0580911i \(0.981499\pi\)
\(564\) 0.00287429 0.0753207i 0.000121029 0.00317157i
\(565\) 4.71145 13.9006i 0.198212 0.584801i
\(566\) −15.3126 + 4.65445i −0.643636 + 0.195641i
\(567\) 1.76751 0.279945i 0.0742282 0.0117566i
\(568\) −4.32198 + 7.40269i −0.181346 + 0.310610i
\(569\) 19.2119 26.4429i 0.805405 1.10855i −0.186611 0.982434i \(-0.559750\pi\)
0.992016 0.126111i \(-0.0402497\pi\)
\(570\) −16.2286 + 2.04548i −0.679743 + 0.0856756i
\(571\) −22.6330 31.1516i −0.947160 1.30365i −0.952777 0.303670i \(-0.901788\pi\)
0.00561699 0.999984i \(-0.498212\pi\)
\(572\) −7.13761 3.98668i −0.298438 0.166692i
\(573\) 11.4051 + 5.81121i 0.476457 + 0.242767i
\(574\) 15.0800 10.5228i 0.629426 0.439213i
\(575\) 26.8795 + 14.5623i 1.12095 + 0.607288i
\(576\) −6.96670 + 3.93256i −0.290279 + 0.163857i
\(577\) 0.778351 1.52760i 0.0324032 0.0635948i −0.874237 0.485499i \(-0.838638\pi\)
0.906641 + 0.421904i \(0.138638\pi\)
\(578\) 13.1804 + 27.1352i 0.548233 + 1.12868i
\(579\) −3.65839 + 2.65798i −0.152038 + 0.110462i
\(580\) 1.70283 + 15.9574i 0.0707063 + 0.662594i
\(581\) −12.2569 8.90519i −0.508503 0.369449i
\(582\) 3.03914 17.0743i 0.125977 0.707751i
\(583\) 2.93142 + 18.5083i 0.121407 + 0.766534i
\(584\) −1.21344 + 21.1859i −0.0502124 + 0.876678i
\(585\) −2.11848 + 2.83973i −0.0875885 + 0.117408i
\(586\) 30.9598 + 23.4085i 1.27894 + 0.966997i
\(587\) 10.0460 + 19.7163i 0.414642 + 0.813780i 0.999995 + 0.00300205i \(0.000955585\pi\)
−0.585354 + 0.810778i \(0.699044\pi\)
\(588\) 0.901215 + 7.54146i 0.0371655 + 0.311004i
\(589\) −29.0185 + 9.42868i −1.19569 + 0.388502i
\(590\) −16.7566 24.6716i −0.689859 1.01572i
\(591\) 11.0234 + 3.58173i 0.453444 + 0.147333i
\(592\) 19.8766 32.6005i 0.816923 1.33987i
\(593\) −24.7989 + 24.7989i −1.01837 + 1.01837i −0.0185411 + 0.999828i \(0.505902\pi\)
−0.999828 + 0.0185411i \(0.994098\pi\)
\(594\) −0.0695789 + 3.64796i −0.00285486 + 0.149677i
\(595\) −3.56625 24.5163i −0.146202 1.00507i
\(596\) 9.39411 + 33.1658i 0.384798 + 1.35852i
\(597\) −8.24701 1.30620i −0.337528 0.0534591i
\(598\) −1.88473 13.5698i −0.0770721 0.554909i
\(599\) 5.41697 0.221331 0.110666 0.993858i \(-0.464702\pi\)
0.110666 + 0.993858i \(0.464702\pi\)
\(600\) 13.7643 3.24734i 0.561923 0.132572i
\(601\) −13.7486 −0.560819 −0.280409 0.959881i \(-0.590470\pi\)
−0.280409 + 0.959881i \(0.590470\pi\)
\(602\) −0.966355 6.95763i −0.0393857 0.283572i
\(603\) −6.72692 1.06544i −0.273942 0.0433881i
\(604\) −4.99365 17.6300i −0.203189 0.717355i
\(605\) −9.57347 1.64047i −0.389217 0.0666948i
\(606\) 0.498774 26.1502i 0.0202613 1.06228i
\(607\) 25.1868 25.1868i 1.02230 1.02230i 0.0225567 0.999746i \(-0.492819\pi\)
0.999746 0.0225567i \(-0.00718063\pi\)
\(608\) −1.80492 29.2046i −0.0731993 1.18440i
\(609\) 6.10734 + 1.98440i 0.247482 + 0.0804118i
\(610\) −8.77463 3.16187i −0.355274 0.128020i
\(611\) 0.0567908 0.0184525i 0.00229751 0.000746506i
\(612\) 1.46927 + 12.2950i 0.0593916 + 0.496995i
\(613\) 9.17652 + 18.0099i 0.370636 + 0.727415i 0.998712 0.0507375i \(-0.0161572\pi\)
−0.628076 + 0.778152i \(0.716157\pi\)
\(614\) −6.11908 4.62660i −0.246946 0.186714i
\(615\) 15.5140 4.82509i 0.625586 0.194566i
\(616\) 13.0373 + 0.746722i 0.525288 + 0.0300863i
\(617\) −2.43800 15.3930i −0.0981503 0.619697i −0.986904 0.161311i \(-0.948428\pi\)
0.888753 0.458386i \(-0.151572\pi\)
\(618\) 4.99279 28.0501i 0.200839 1.12834i
\(619\) 11.5048 + 8.35870i 0.462415 + 0.335964i 0.794478 0.607293i \(-0.207745\pi\)
−0.332063 + 0.943257i \(0.607745\pi\)
\(620\) 24.0825 10.7681i 0.967176 0.432458i
\(621\) −4.94644 + 3.59380i −0.198494 + 0.144214i
\(622\) 5.12610 + 10.5534i 0.205538 + 0.423151i
\(623\) −2.42563 + 4.76058i −0.0971810 + 0.190728i
\(624\) −4.82850 4.10513i −0.193295 0.164337i
\(625\) −24.9681 1.26231i −0.998724 0.0504924i
\(626\) −21.7110 + 15.1499i −0.867745 + 0.605512i
\(627\) −11.8905 6.05850i −0.474860 0.241953i
\(628\) 8.28755 + 4.62898i 0.330709 + 0.184716i
\(629\) −34.7372 47.8116i −1.38506 1.90637i
\(630\) 1.06197 5.55848i 0.0423099 0.221455i
\(631\) −12.7859 + 17.5983i −0.508999 + 0.700577i −0.983750 0.179543i \(-0.942538\pi\)
0.474751 + 0.880120i \(0.342538\pi\)
\(632\) −11.3517 6.62756i −0.451545 0.263630i
\(633\) −15.2512 + 2.41555i −0.606179 + 0.0960093i
\(634\) −1.43327 + 0.435661i −0.0569225 + 0.0173023i
\(635\) −11.2065 36.0322i −0.444718 1.42990i
\(636\) −0.553940 + 14.5160i −0.0219651 + 0.575596i
\(637\) −5.36114 + 2.73163i −0.212416 + 0.108231i
\(638\) −6.16541 + 11.5503i −0.244091 + 0.457282i
\(639\) 0.936526 + 2.88233i 0.0370484 + 0.114023i
\(640\) 4.23096 + 24.9419i 0.167244 + 0.985916i
\(641\) 3.91015 12.0342i 0.154442 0.475322i −0.843662 0.536874i \(-0.819605\pi\)
0.998104 + 0.0615520i \(0.0196050\pi\)
\(642\) −13.4816 14.0058i −0.532075 0.552766i
\(643\) 31.0681 + 31.0681i 1.22521 + 1.22521i 0.965756 + 0.259450i \(0.0835414\pi\)
0.259450 + 0.965756i \(0.416459\pi\)
\(644\) 12.1780 + 18.1813i 0.479881 + 0.716443i
\(645\) 1.04823 6.11724i 0.0412739 0.240866i
\(646\) −42.7980 14.8140i −1.68386 0.582850i
\(647\) 7.56645 47.7727i 0.297468 1.87814i −0.157336 0.987545i \(-0.550290\pi\)
0.454803 0.890592i \(-0.349710\pi\)
\(648\) −0.601484 + 2.76373i −0.0236285 + 0.108570i
\(649\) 24.3321i 0.955120i
\(650\) 6.17717 + 9.34680i 0.242289 + 0.366612i
\(651\) 10.5561i 0.413727i
\(652\) −7.97214 + 7.38606i −0.312213 + 0.289260i
\(653\) −0.865641 + 5.46544i −0.0338752 + 0.213879i −0.998820 0.0485752i \(-0.984532\pi\)
0.964944 + 0.262454i \(0.0845320\pi\)
\(654\) −4.56201 + 13.1797i −0.178389 + 0.515368i
\(655\) −9.95278 + 1.44777i −0.388887 + 0.0565692i
\(656\) 6.84849 + 28.2452i 0.267388 + 1.10279i
\(657\) 5.30515 + 5.30515i 0.206974 + 0.206974i
\(658\) −0.0687175 + 0.0661452i −0.00267889 + 0.00257861i
\(659\) −14.2601 + 43.8880i −0.555494 + 1.70963i 0.139141 + 0.990273i \(0.455566\pi\)
−0.694635 + 0.719362i \(0.744434\pi\)
\(660\) 10.7782 + 4.11771i 0.419539 + 0.160282i
\(661\) 10.7448 + 33.0690i 0.417923 + 1.28624i 0.909610 + 0.415463i \(0.136381\pi\)
−0.491687 + 0.870772i \(0.663619\pi\)
\(662\) −39.3227 20.9899i −1.52832 0.815797i
\(663\) −8.74035 + 4.45343i −0.339447 + 0.172957i
\(664\) 20.1457 12.9442i 0.781803 0.502331i
\(665\) 16.5901 + 12.3765i 0.643338 + 0.479941i
\(666\) −3.92595 12.9159i −0.152128 0.500481i
\(667\) −21.6701 + 3.43220i −0.839068 + 0.132895i
\(668\) 30.0960 13.9156i 1.16445 0.538412i
\(669\) 4.86623 6.69779i 0.188139 0.258951i
\(670\) −10.3812 + 18.8706i −0.401059 + 0.729034i
\(671\) −4.47271 6.15616i −0.172667 0.237656i
\(672\) 9.80232 + 2.52838i 0.378133 + 0.0975346i
\(673\) 22.2414 + 11.3325i 0.857342 + 0.436838i 0.826667 0.562692i \(-0.190234\pi\)
0.0306753 + 0.999529i \(0.490234\pi\)
\(674\) 16.3738 + 23.4649i 0.630694 + 0.903833i
\(675\) 2.38174 4.39629i 0.0916731 0.169213i
\(676\) −7.23906 + 19.6907i −0.278425 + 0.757334i
\(677\) −8.19739 + 16.0883i −0.315051 + 0.618323i −0.993176 0.116624i \(-0.962793\pi\)
0.678125 + 0.734947i \(0.262793\pi\)
\(678\) 8.34985 4.05578i 0.320674 0.155761i
\(679\) −17.7541 + 12.8991i −0.681340 + 0.495022i
\(680\) 38.1529 + 8.80944i 1.46310 + 0.337826i
\(681\) −22.2120 16.1380i −0.851167 0.618409i
\(682\) 21.1895 + 3.77163i 0.811386 + 0.144423i
\(683\) −3.32035 20.9639i −0.127050 0.802161i −0.966112 0.258125i \(-0.916895\pi\)
0.839062 0.544036i \(-0.183105\pi\)
\(684\) −8.13140 6.39542i −0.310912 0.244535i
\(685\) 36.5561 + 12.3903i 1.39674 + 0.473409i
\(686\) 16.4807 21.7971i 0.629235 0.832219i
\(687\) −8.07421 15.8465i −0.308050 0.604583i
\(688\) 10.8014 + 2.56743i 0.411800 + 0.0978825i
\(689\) −10.9449 + 3.55620i −0.416966 + 0.135480i
\(690\) 5.38891 + 18.5684i 0.205152 + 0.706887i
\(691\) 27.8609 + 9.05257i 1.05988 + 0.344376i 0.786539 0.617541i \(-0.211871\pi\)
0.273342 + 0.961917i \(0.411871\pi\)
\(692\) −39.2795 7.76715i −1.49318 0.295263i
\(693\) 3.26467 3.26467i 0.124015 0.124015i
\(694\) −0.455153 0.00868131i −0.0172774 0.000329538i
\(695\) −14.6860 + 27.9449i −0.557073 + 1.06001i
\(696\) −6.42558 + 7.85665i −0.243561 + 0.297806i
\(697\) 44.4310 + 7.03717i 1.68294 + 0.266552i
\(698\) 2.67181 0.371092i 0.101130 0.0140460i
\(699\) 5.39410 0.204024
\(700\) −15.3981 9.11822i −0.581995 0.344636i
\(701\) −26.3853 −0.996559 −0.498279 0.867016i \(-0.666035\pi\)
−0.498279 + 0.867016i \(0.666035\pi\)
\(702\) −2.21941 + 0.308257i −0.0837662 + 0.0116344i
\(703\) 48.7668 + 7.72390i 1.83927 + 0.291312i
\(704\) −8.57755 + 18.7729i −0.323279 + 0.707532i
\(705\) −0.0755644 + 0.0373076i −0.00284592 + 0.00140509i
\(706\) −12.6231 0.240766i −0.475077 0.00906134i
\(707\) −23.4026 + 23.4026i −0.880147 + 0.880147i
\(708\) 3.65900 18.5041i 0.137514 0.695426i
\(709\) −12.9991 4.22365i −0.488190 0.158623i 0.0545707 0.998510i \(-0.482621\pi\)
−0.542761 + 0.839887i \(0.682621\pi\)
\(710\) 9.57898 + 0.303751i 0.359493 + 0.0113996i
\(711\) −4.41992 + 1.43612i −0.165760 + 0.0538587i
\(712\) −5.62007 6.30297i −0.210621 0.236214i
\(713\) 16.3737 + 32.1351i 0.613198 + 1.20347i
\(714\) 9.44987 12.4983i 0.353653 0.467737i
\(715\) −0.115428 + 9.13978i −0.00431674 + 0.341808i
\(716\) −24.6161 + 31.2979i −0.919945 + 1.16966i
\(717\) −1.57773 9.96138i −0.0589213 0.372015i
\(718\) −28.8096 5.12798i −1.07516 0.191375i
\(719\) −28.1664 20.4641i −1.05043 0.763183i −0.0781367 0.996943i \(-0.524897\pi\)
−0.972294 + 0.233760i \(0.924897\pi\)
\(720\) 7.57736 + 4.75222i 0.282392 + 0.177105i
\(721\) −29.1669 + 21.1910i −1.08623 + 0.789194i
\(722\) 9.86535 4.79191i 0.367150 0.178337i
\(723\) 2.34801 4.60823i 0.0873235 0.171382i
\(724\) 19.1140 + 7.02704i 0.710366 + 0.261158i
\(725\) 14.7772 10.1762i 0.548813 0.377935i
\(726\) −3.51536 5.03778i −0.130467 0.186970i
\(727\) 31.4045 + 16.0014i 1.16473 + 0.593458i 0.925961 0.377619i \(-0.123257\pi\)
0.238766 + 0.971077i \(0.423257\pi\)
\(728\) 0.799566 + 7.97973i 0.0296339 + 0.295748i
\(729\) 0.587785 + 0.809017i 0.0217698 + 0.0299636i
\(730\) 21.4702 10.0957i 0.794648 0.373658i
\(731\) 10.1007 13.9024i 0.373586 0.514197i
\(732\) −2.47566 5.35422i −0.0915029 0.197898i
\(733\) −21.4328 + 3.39462i −0.791637 + 0.125383i −0.539142 0.842215i \(-0.681251\pi\)
−0.252495 + 0.967598i \(0.581251\pi\)
\(734\) −6.39440 21.0368i −0.236022 0.776482i
\(735\) 6.93233 4.90408i 0.255703 0.180890i
\(736\) −33.7621 + 7.50748i −1.24449 + 0.276729i
\(737\) −15.6564 + 7.97732i −0.576710 + 0.293848i
\(738\) 9.06494 + 4.83874i 0.333685 + 0.178117i
\(739\) 7.04674 + 21.6876i 0.259219 + 0.797793i 0.992969 + 0.118374i \(0.0377681\pi\)
−0.733751 + 0.679419i \(0.762232\pi\)
\(740\) −42.6338 2.16641i −1.56725 0.0796388i
\(741\) 2.53255 7.79439i 0.0930356 0.286334i
\(742\) 13.2434 12.7477i 0.486181 0.467981i
\(743\) 12.9863 + 12.9863i 0.476422 + 0.476422i 0.903985 0.427563i \(-0.140628\pi\)
−0.427563 + 0.903985i \(0.640628\pi\)
\(744\) 15.5470 + 6.05466i 0.569980 + 0.221975i
\(745\) 27.5933 26.9051i 1.01094 0.985725i
\(746\) −3.50469 + 10.1251i −0.128316 + 0.370707i
\(747\) 1.32439 8.36187i 0.0484569 0.305945i
\(748\) 21.7116 + 23.4344i 0.793854 + 0.856846i
\(749\) 24.5993i 0.898840i
\(750\) −10.5258 11.7987i −0.384346 0.430826i
\(751\) 17.3842i 0.634360i 0.948365 + 0.317180i \(0.102736\pi\)
−0.948365 + 0.317180i \(0.897264\pi\)
\(752\) −0.0580039 0.139145i −0.00211518 0.00507411i
\(753\) −2.13169 + 13.4589i −0.0776830 + 0.490471i
\(754\) −7.59835 2.63008i −0.276716 0.0957819i
\(755\) −14.6678 + 14.3020i −0.533817 + 0.520502i
\(756\) 2.97365 1.99178i 0.108151 0.0724404i
\(757\) −0.770220 0.770220i −0.0279941 0.0279941i 0.692971 0.720965i \(-0.256301\pi\)
−0.720965 + 0.692971i \(0.756301\pi\)
\(758\) 34.3942 + 35.7317i 1.24925 + 1.29783i
\(759\) −4.87451 + 15.0022i −0.176933 + 0.544545i
\(760\) −27.7436 + 17.3350i −1.00637 + 0.628807i
\(761\) 5.86337 + 18.0456i 0.212547 + 0.654152i 0.999319 + 0.0369083i \(0.0117509\pi\)
−0.786772 + 0.617244i \(0.788249\pi\)
\(762\) 11.2383 21.0539i 0.407119 0.762701i
\(763\) 15.7248 8.01219i 0.569276 0.290061i
\(764\) 25.5820 + 0.976226i 0.925523 + 0.0353186i
\(765\) 11.3019 7.99521i 0.408621 0.289067i
\(766\) 15.5721 4.73335i 0.562644 0.171023i
\(767\) 14.7590 2.33760i 0.532918 0.0844059i
\(768\) −9.34608 + 12.9866i −0.337248 + 0.468612i
\(769\) 23.8890 32.8804i 0.861459 1.18570i −0.119761 0.992803i \(-0.538213\pi\)
0.981220 0.192894i \(-0.0617872\pi\)
\(770\) −6.21265 13.2123i −0.223888 0.476138i
\(771\) −8.91936 12.2764i −0.321223 0.442125i
\(772\) −4.41021 + 7.89587i −0.158727 + 0.284179i
\(773\) 8.89205 + 4.53072i 0.319825 + 0.162959i 0.606531 0.795060i \(-0.292560\pi\)
−0.286707 + 0.958018i \(0.592560\pi\)