Properties

Label 65.2.o.a.2.5
Level $65$
Weight $2$
Character 65.2
Analytic conductor $0.519$
Analytic rank $0$
Dimension $20$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 65 = 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 65.o (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.519027613138\)
Analytic rank: \(0\)
Dimension: \(20\)
Relative dimension: \(5\) over \(\Q(\zeta_{12})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{20} + \cdots)\)
Defining polynomial: \(x^{20} + 26 x^{18} + 279 x^{16} + 1604 x^{14} + 5353 x^{12} + 10466 x^{10} + 11441 x^{8} + 6176 x^{6} + 1263 x^{4} + 78 x^{2} + 1\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 2.5
Root \(-1.51805i\) of defining polynomial
Character \(\chi\) \(=\) 65.2
Dual form 65.2.o.a.33.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.759023 + 1.31467i) q^{2} +(-0.653367 - 0.175069i) q^{3} +(-0.152233 + 0.263675i) q^{4} +(0.600231 + 2.15400i) q^{5} +(-0.265763 - 0.991842i) q^{6} +(-2.24723 - 1.29744i) q^{7} +2.57390 q^{8} +(-2.20184 - 1.27123i) q^{9} +O(q^{10})\) \(q+(0.759023 + 1.31467i) q^{2} +(-0.653367 - 0.175069i) q^{3} +(-0.152233 + 0.263675i) q^{4} +(0.600231 + 2.15400i) q^{5} +(-0.265763 - 0.991842i) q^{6} +(-2.24723 - 1.29744i) q^{7} +2.57390 q^{8} +(-2.20184 - 1.27123i) q^{9} +(-2.37621 + 2.42404i) q^{10} +(1.29395 - 4.82908i) q^{11} +(0.145625 - 0.145625i) q^{12} +(-2.71223 + 2.37567i) q^{13} -3.93915i q^{14} +(-0.0150717 - 1.51244i) q^{15} +(2.25812 + 3.91117i) q^{16} +(0.0211881 + 0.0790751i) q^{17} -3.85958i q^{18} +(2.71143 - 0.726525i) q^{19} +(-0.659330 - 0.169644i) q^{20} +(1.24113 + 1.24113i) q^{21} +(7.33077 - 1.96427i) q^{22} +(-1.05016 + 3.91925i) q^{23} +(-1.68170 - 0.450611i) q^{24} +(-4.27945 + 2.58580i) q^{25} +(-5.18186 - 1.76249i) q^{26} +(2.65095 + 2.65095i) q^{27} +(0.684205 - 0.395026i) q^{28} +(-4.31701 + 2.49243i) q^{29} +(1.97691 - 1.16779i) q^{30} +(-2.32124 + 2.32124i) q^{31} +(-0.854024 + 1.47921i) q^{32} +(-1.69085 + 2.92863i) q^{33} +(-0.0878751 + 0.0878751i) q^{34} +(1.44583 - 5.61931i) q^{35} +(0.670383 - 0.387046i) q^{36} +(0.494934 - 0.285750i) q^{37} +(3.01318 + 3.01318i) q^{38} +(2.18799 - 1.07736i) q^{39} +(1.54493 + 5.54419i) q^{40} +(10.0563 + 2.69458i) q^{41} +(-0.689624 + 2.57371i) q^{42} +(0.132121 - 0.0354017i) q^{43} +(1.07633 + 1.07633i) q^{44} +(1.41662 - 5.50579i) q^{45} +(-5.94960 + 1.59419i) q^{46} -2.30053i q^{47} +(-0.790653 - 2.95076i) q^{48} +(-0.133293 - 0.230870i) q^{49} +(-6.64766 - 3.66337i) q^{50} -0.0553744i q^{51} +(-0.213514 - 1.07680i) q^{52} +(6.70735 - 6.70735i) q^{53} +(-1.47298 + 5.49724i) q^{54} +(11.1785 - 0.111396i) q^{55} +(-5.78416 - 3.33948i) q^{56} -1.89875 q^{57} +(-6.55343 - 3.78362i) q^{58} +(0.694109 + 2.59045i) q^{59} +(0.401085 + 0.226268i) q^{60} +(-2.74237 + 4.74992i) q^{61} +(-4.81352 - 1.28978i) q^{62} +(3.29870 + 5.71351i) q^{63} +6.43957 q^{64} +(-6.74516 - 4.41620i) q^{65} -5.13357 q^{66} +(-7.89339 - 13.6718i) q^{67} +(-0.0240756 - 0.00645104i) q^{68} +(1.37228 - 2.37686i) q^{69} +(8.48494 - 2.36440i) q^{70} +(-1.98951 - 7.42495i) q^{71} +(-5.66731 - 3.27202i) q^{72} -6.61894 q^{73} +(0.751333 + 0.433783i) q^{74} +(3.24874 - 0.940275i) q^{75} +(-0.221202 + 0.825536i) q^{76} +(-9.17326 + 9.17326i) q^{77} +(3.07710 + 2.05874i) q^{78} +5.71054i q^{79} +(-7.06928 + 7.21159i) q^{80} +(2.54575 + 4.40937i) q^{81} +(4.09050 + 15.2660i) q^{82} -3.70736i q^{83} +(-0.516194 + 0.138314i) q^{84} +(-0.157610 + 0.0931025i) q^{85} +(0.146824 + 0.146824i) q^{86} +(3.25694 - 0.872695i) q^{87} +(3.33050 - 12.4296i) q^{88} +(17.2829 + 4.63094i) q^{89} +(8.31353 - 2.31664i) q^{90} +(9.17731 - 1.81973i) q^{91} +(-0.873538 - 0.873538i) q^{92} +(1.92300 - 1.11024i) q^{93} +(3.02443 - 1.74616i) q^{94} +(3.19242 + 5.40434i) q^{95} +(0.816956 - 0.816956i) q^{96} +(-2.68493 + 4.65043i) q^{97} +(0.202345 - 0.350471i) q^{98} +(-8.98794 + 8.98794i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20q - 4q^{2} - 2q^{3} - 6q^{4} - 6q^{5} - 8q^{6} - 6q^{7} + 12q^{8} - 12q^{9} + O(q^{10}) \) \( 20q - 4q^{2} - 2q^{3} - 6q^{4} - 6q^{5} - 8q^{6} - 6q^{7} + 12q^{8} - 12q^{9} - 10q^{10} - 16q^{11} + 24q^{12} + 2q^{13} + 12q^{15} - 2q^{16} - 10q^{17} + 20q^{19} + 14q^{20} + 4q^{21} + 16q^{22} - 2q^{23} - 32q^{24} - 18q^{25} - 24q^{26} + 4q^{27} + 6q^{28} + 14q^{30} - 6q^{32} - 18q^{33} - 2q^{34} - 20q^{35} + 36q^{36} + 42q^{37} + 8q^{38} - 4q^{39} - 16q^{40} + 10q^{41} - 56q^{42} - 22q^{43} + 36q^{44} + 52q^{45} + 4q^{46} + 28q^{48} - 18q^{49} + 44q^{50} + 46q^{52} - 10q^{53} + 48q^{54} + 26q^{55} - 12q^{57} - 90q^{58} + 16q^{59} - 92q^{60} - 16q^{61} - 40q^{62} - 32q^{63} - 20q^{64} + 8q^{65} - 32q^{66} - 58q^{67} + 28q^{68} + 16q^{69} + 32q^{70} - 16q^{71} - 66q^{72} + 72q^{73} - 18q^{74} - 34q^{75} - 64q^{76} + 28q^{77} + 32q^{78} - 34q^{80} - 14q^{81} + 22q^{82} + 40q^{84} - 6q^{85} + 60q^{86} + 62q^{87} + 50q^{88} + 6q^{89} - 46q^{90} + 8q^{91} - 8q^{92} + 48q^{93} + 48q^{94} + 14q^{95} + 56q^{96} - 22q^{97} + 4q^{98} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/65\mathbb{Z}\right)^\times\).

\(n\) \(27\) \(41\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.759023 + 1.31467i 0.536710 + 0.929610i 0.999078 + 0.0429217i \(0.0136666\pi\)
−0.462368 + 0.886688i \(0.653000\pi\)
\(3\) −0.653367 0.175069i −0.377222 0.101076i 0.0652261 0.997871i \(-0.479223\pi\)
−0.442448 + 0.896794i \(0.645890\pi\)
\(4\) −0.152233 + 0.263675i −0.0761163 + 0.131837i
\(5\) 0.600231 + 2.15400i 0.268431 + 0.963299i
\(6\) −0.265763 0.991842i −0.108497 0.404918i
\(7\) −2.24723 1.29744i −0.849375 0.490387i 0.0110652 0.999939i \(-0.496478\pi\)
−0.860440 + 0.509552i \(0.829811\pi\)
\(8\) 2.57390 0.910011
\(9\) −2.20184 1.27123i −0.733946 0.423744i
\(10\) −2.37621 + 2.42404i −0.751422 + 0.766549i
\(11\) 1.29395 4.82908i 0.390140 1.45602i −0.439762 0.898114i \(-0.644937\pi\)
0.829902 0.557909i \(-0.188396\pi\)
\(12\) 0.145625 0.145625i 0.0420383 0.0420383i
\(13\) −2.71223 + 2.37567i −0.752237 + 0.658892i
\(14\) 3.93915i 1.05278i
\(15\) −0.0150717 1.51244i −0.00389149 0.390509i
\(16\) 2.25812 + 3.91117i 0.564529 + 0.977793i
\(17\) 0.0211881 + 0.0790751i 0.00513887 + 0.0191785i 0.968448 0.249217i \(-0.0801732\pi\)
−0.963309 + 0.268396i \(0.913507\pi\)
\(18\) 3.85958i 0.909711i
\(19\) 2.71143 0.726525i 0.622045 0.166676i 0.0659876 0.997820i \(-0.478980\pi\)
0.556057 + 0.831144i \(0.312314\pi\)
\(20\) −0.659330 0.169644i −0.147431 0.0379335i
\(21\) 1.24113 + 1.24113i 0.270836 + 0.270836i
\(22\) 7.33077 1.96427i 1.56293 0.418785i
\(23\) −1.05016 + 3.91925i −0.218973 + 0.817220i 0.765756 + 0.643131i \(0.222365\pi\)
−0.984730 + 0.174089i \(0.944302\pi\)
\(24\) −1.68170 0.450611i −0.343276 0.0919805i
\(25\) −4.27945 + 2.58580i −0.855889 + 0.517159i
\(26\) −5.18186 1.76249i −1.01625 0.345653i
\(27\) 2.65095 + 2.65095i 0.510175 + 0.510175i
\(28\) 0.684205 0.395026i 0.129303 0.0746528i
\(29\) −4.31701 + 2.49243i −0.801649 + 0.462833i −0.844048 0.536268i \(-0.819834\pi\)
0.0423981 + 0.999101i \(0.486500\pi\)
\(30\) 1.97691 1.16779i 0.360933 0.213208i
\(31\) −2.32124 + 2.32124i −0.416906 + 0.416906i −0.884136 0.467230i \(-0.845252\pi\)
0.467230 + 0.884136i \(0.345252\pi\)
\(32\) −0.854024 + 1.47921i −0.150972 + 0.261490i
\(33\) −1.69085 + 2.92863i −0.294339 + 0.509809i
\(34\) −0.0878751 + 0.0878751i −0.0150705 + 0.0150705i
\(35\) 1.44583 5.61931i 0.244390 0.949837i
\(36\) 0.670383 0.387046i 0.111730 0.0645076i
\(37\) 0.494934 0.285750i 0.0813667 0.0469771i −0.458765 0.888558i \(-0.651708\pi\)
0.540131 + 0.841581i \(0.318375\pi\)
\(38\) 3.01318 + 3.01318i 0.488802 + 0.488802i
\(39\) 2.18799 1.07736i 0.350359 0.172515i
\(40\) 1.54493 + 5.54419i 0.244276 + 0.876613i
\(41\) 10.0563 + 2.69458i 1.57053 + 0.420823i 0.935979 0.352056i \(-0.114517\pi\)
0.634554 + 0.772879i \(0.281184\pi\)
\(42\) −0.689624 + 2.57371i −0.106411 + 0.397132i
\(43\) 0.132121 0.0354017i 0.0201483 0.00539871i −0.248731 0.968573i \(-0.580013\pi\)
0.268879 + 0.963174i \(0.413347\pi\)
\(44\) 1.07633 + 1.07633i 0.162262 + 0.162262i
\(45\) 1.41662 5.50579i 0.211178 0.820755i
\(46\) −5.94960 + 1.59419i −0.877221 + 0.235051i
\(47\) 2.30053i 0.335567i −0.985824 0.167784i \(-0.946339\pi\)
0.985824 0.167784i \(-0.0536610\pi\)
\(48\) −0.790653 2.95076i −0.114121 0.425905i
\(49\) −0.133293 0.230870i −0.0190418 0.0329814i
\(50\) −6.64766 3.66337i −0.940121 0.518078i
\(51\) 0.0553744i 0.00775397i
\(52\) −0.213514 1.07680i −0.0296090 0.149325i
\(53\) 6.70735 6.70735i 0.921326 0.921326i −0.0757974 0.997123i \(-0.524150\pi\)
0.997123 + 0.0757974i \(0.0241502\pi\)
\(54\) −1.47298 + 5.49724i −0.200447 + 0.748080i
\(55\) 11.1785 0.111396i 1.50731 0.0150206i
\(56\) −5.78416 3.33948i −0.772941 0.446257i
\(57\) −1.89875 −0.251496
\(58\) −6.55343 3.78362i −0.860507 0.496814i
\(59\) 0.694109 + 2.59045i 0.0903653 + 0.337248i 0.996276 0.0862207i \(-0.0274790\pi\)
−0.905911 + 0.423469i \(0.860812\pi\)
\(60\) 0.401085 + 0.226268i 0.0517799 + 0.0292111i
\(61\) −2.74237 + 4.74992i −0.351124 + 0.608165i −0.986447 0.164082i \(-0.947534\pi\)
0.635322 + 0.772247i \(0.280867\pi\)
\(62\) −4.81352 1.28978i −0.611318 0.163802i
\(63\) 3.29870 + 5.71351i 0.415597 + 0.719834i
\(64\) 6.43957 0.804946
\(65\) −6.74516 4.41620i −0.836634 0.547762i
\(66\) −5.13357 −0.631899
\(67\) −7.89339 13.6718i −0.964331 1.67027i −0.711401 0.702786i \(-0.751939\pi\)
−0.252930 0.967485i \(-0.581394\pi\)
\(68\) −0.0240756 0.00645104i −0.00291960 0.000782303i
\(69\) 1.37228 2.37686i 0.165203 0.286140i
\(70\) 8.48494 2.36440i 1.01414 0.282600i
\(71\) −1.98951 7.42495i −0.236111 0.881180i −0.977645 0.210264i \(-0.932568\pi\)
0.741533 0.670916i \(-0.234099\pi\)
\(72\) −5.66731 3.27202i −0.667899 0.385612i
\(73\) −6.61894 −0.774688 −0.387344 0.921935i \(-0.626607\pi\)
−0.387344 + 0.921935i \(0.626607\pi\)
\(74\) 0.751333 + 0.433783i 0.0873407 + 0.0504262i
\(75\) 3.24874 0.940275i 0.375132 0.108574i
\(76\) −0.221202 + 0.825536i −0.0253736 + 0.0946955i
\(77\) −9.17326 + 9.17326i −1.04539 + 1.04539i
\(78\) 3.07710 + 2.05874i 0.348413 + 0.233106i
\(79\) 5.71054i 0.642486i 0.946997 + 0.321243i \(0.104101\pi\)
−0.946997 + 0.321243i \(0.895899\pi\)
\(80\) −7.06928 + 7.21159i −0.790369 + 0.806280i
\(81\) 2.54575 + 4.40937i 0.282861 + 0.489930i
\(82\) 4.09050 + 15.2660i 0.451720 + 1.68584i
\(83\) 3.70736i 0.406936i −0.979082 0.203468i \(-0.934779\pi\)
0.979082 0.203468i \(-0.0652213\pi\)
\(84\) −0.516194 + 0.138314i −0.0563213 + 0.0150913i
\(85\) −0.157610 + 0.0931025i −0.0170952 + 0.0100984i
\(86\) 0.146824 + 0.146824i 0.0158325 + 0.0158325i
\(87\) 3.25694 0.872695i 0.349181 0.0935627i
\(88\) 3.33050 12.4296i 0.355032 1.32500i
\(89\) 17.2829 + 4.63094i 1.83198 + 0.490878i 0.998131 0.0611111i \(-0.0194644\pi\)
0.833851 + 0.551989i \(0.186131\pi\)
\(90\) 8.31353 2.31664i 0.876323 0.244195i
\(91\) 9.17731 1.81973i 0.962043 0.190759i
\(92\) −0.873538 0.873538i −0.0910726 0.0910726i
\(93\) 1.92300 1.11024i 0.199405 0.115127i
\(94\) 3.02443 1.74616i 0.311946 0.180102i
\(95\) 3.19242 + 5.40434i 0.327535 + 0.554474i
\(96\) 0.816956 0.816956i 0.0833802 0.0833802i
\(97\) −2.68493 + 4.65043i −0.272613 + 0.472180i −0.969530 0.244972i \(-0.921221\pi\)
0.696917 + 0.717152i \(0.254555\pi\)
\(98\) 0.202345 0.350471i 0.0204399 0.0354029i
\(99\) −8.98794 + 8.98794i −0.903322 + 0.903322i
\(100\) −0.0303375 1.52202i −0.00303375 0.152202i
\(101\) 2.17443 1.25541i 0.216363 0.124918i −0.387902 0.921701i \(-0.626800\pi\)
0.604265 + 0.796783i \(0.293467\pi\)
\(102\) 0.0727989 0.0420305i 0.00720817 0.00416164i
\(103\) −4.71738 4.71738i −0.464817 0.464817i 0.435414 0.900230i \(-0.356602\pi\)
−0.900230 + 0.435414i \(0.856602\pi\)
\(104\) −6.98101 + 6.11474i −0.684545 + 0.599599i
\(105\) −1.92843 + 3.41835i −0.188195 + 0.333597i
\(106\) 13.9090 + 3.72690i 1.35096 + 0.361988i
\(107\) 0.939155 3.50497i 0.0907915 0.338838i −0.905556 0.424226i \(-0.860546\pi\)
0.996348 + 0.0853876i \(0.0272129\pi\)
\(108\) −1.10255 + 0.295427i −0.106093 + 0.0284275i
\(109\) −1.58528 1.58528i −0.151843 0.151843i 0.627098 0.778941i \(-0.284243\pi\)
−0.778941 + 0.627098i \(0.784243\pi\)
\(110\) 8.63120 + 14.6115i 0.822953 + 1.39315i
\(111\) −0.373400 + 0.100052i −0.0354416 + 0.00949653i
\(112\) 11.7191i 1.10735i
\(113\) 1.48231 + 5.53206i 0.139444 + 0.520412i 0.999940 + 0.0109551i \(0.00348719\pi\)
−0.860496 + 0.509457i \(0.829846\pi\)
\(114\) −1.44120 2.49623i −0.134980 0.233793i
\(115\) −9.07241 + 0.0904081i −0.846006 + 0.00843060i
\(116\) 1.51772i 0.140916i
\(117\) 8.99191 1.78297i 0.831303 0.164835i
\(118\) −2.87873 + 2.87873i −0.265009 + 0.265009i
\(119\) 0.0549806 0.205190i 0.00504007 0.0188098i
\(120\) −0.0387930 3.89286i −0.00354130 0.355368i
\(121\) −12.1195 6.99717i −1.10177 0.636106i
\(122\) −8.32609 −0.753809
\(123\) −6.09873 3.52110i −0.549904 0.317487i
\(124\) −0.258683 0.965419i −0.0232304 0.0866972i
\(125\) −8.13846 7.66586i −0.727926 0.685655i
\(126\) −5.00757 + 8.67337i −0.446110 + 0.772685i
\(127\) 0.786718 + 0.210801i 0.0698100 + 0.0187055i 0.293555 0.955942i \(-0.405162\pi\)
−0.223745 + 0.974648i \(0.571828\pi\)
\(128\) 6.59583 + 11.4243i 0.582994 + 1.00978i
\(129\) −0.0925213 −0.00814605
\(130\) 0.686097 12.2196i 0.0601747 1.07173i
\(131\) −16.1062 −1.40721 −0.703604 0.710592i \(-0.748427\pi\)
−0.703604 + 0.710592i \(0.748427\pi\)
\(132\) −0.514804 0.891667i −0.0448079 0.0776096i
\(133\) −7.03584 1.88525i −0.610085 0.163472i
\(134\) 11.9825 20.7544i 1.03513 1.79290i
\(135\) −4.11897 + 7.30133i −0.354504 + 0.628398i
\(136\) 0.0545361 + 0.203531i 0.00467643 + 0.0174527i
\(137\) 16.6601 + 9.61871i 1.42337 + 0.821782i 0.996585 0.0825721i \(-0.0263135\pi\)
0.426783 + 0.904354i \(0.359647\pi\)
\(138\) 4.16637 0.354665
\(139\) −13.7257 7.92451i −1.16419 0.672148i −0.211889 0.977294i \(-0.567962\pi\)
−0.952306 + 0.305146i \(0.901295\pi\)
\(140\) 1.26157 + 1.23667i 0.106622 + 0.104518i
\(141\) −0.402752 + 1.50309i −0.0339178 + 0.126583i
\(142\) 8.25125 8.25125i 0.692430 0.692430i
\(143\) 7.96282 + 16.1716i 0.665884 + 1.35234i
\(144\) 11.4823i 0.956862i
\(145\) −7.95990 7.80282i −0.661034 0.647989i
\(146\) −5.02393 8.70170i −0.415783 0.720158i
\(147\) 0.0466709 + 0.174178i 0.00384935 + 0.0143660i
\(148\) 0.174002i 0.0143029i
\(149\) 1.39120 0.372772i 0.113972 0.0305387i −0.201382 0.979513i \(-0.564543\pi\)
0.315354 + 0.948974i \(0.397877\pi\)
\(150\) 3.70202 + 3.55732i 0.302269 + 0.290454i
\(151\) 13.9253 + 13.9253i 1.13322 + 1.13322i 0.989638 + 0.143585i \(0.0458631\pi\)
0.143585 + 0.989638i \(0.454137\pi\)
\(152\) 6.97895 1.87000i 0.566068 0.151677i
\(153\) 0.0538699 0.201045i 0.00435513 0.0162536i
\(154\) −19.0225 5.09706i −1.53288 0.410733i
\(155\) −6.39322 3.60667i −0.513516 0.289695i
\(156\) −0.0490117 + 0.740926i −0.00392408 + 0.0593215i
\(157\) 4.54644 + 4.54644i 0.362845 + 0.362845i 0.864859 0.502014i \(-0.167408\pi\)
−0.502014 + 0.864859i \(0.667408\pi\)
\(158\) −7.50746 + 4.33444i −0.597262 + 0.344829i
\(159\) −5.55661 + 3.20811i −0.440668 + 0.254420i
\(160\) −3.69884 0.951700i −0.292419 0.0752385i
\(161\) 7.44495 7.44495i 0.586744 0.586744i
\(162\) −3.86457 + 6.69363i −0.303629 + 0.525901i
\(163\) 6.56789 11.3759i 0.514437 0.891031i −0.485423 0.874280i \(-0.661334\pi\)
0.999860 0.0167516i \(-0.00533245\pi\)
\(164\) −2.24139 + 2.24139i −0.175023 + 0.175023i
\(165\) −7.32318 1.88423i −0.570109 0.146687i
\(166\) 4.87395 2.81398i 0.378292 0.218407i
\(167\) 2.84503 1.64258i 0.220155 0.127107i −0.385867 0.922554i \(-0.626098\pi\)
0.606022 + 0.795448i \(0.292764\pi\)
\(168\) 3.19454 + 3.19454i 0.246464 + 0.246464i
\(169\) 1.71239 12.8867i 0.131722 0.991287i
\(170\) −0.242028 0.136538i −0.0185627 0.0104720i
\(171\) −6.89371 1.84716i −0.527175 0.141256i
\(172\) −0.0107786 + 0.0402263i −0.000821860 + 0.00306722i
\(173\) −4.09367 + 1.09689i −0.311236 + 0.0833953i −0.411056 0.911610i \(-0.634840\pi\)
0.0998202 + 0.995005i \(0.468173\pi\)
\(174\) 3.61940 + 3.61940i 0.274386 + 0.274386i
\(175\) 12.9718 0.258559i 0.980579 0.0195452i
\(176\) 21.8093 5.84377i 1.64393 0.440491i
\(177\) 1.81403i 0.136351i
\(178\) 7.02997 + 26.2362i 0.526919 + 1.96649i
\(179\) 6.98083 + 12.0912i 0.521772 + 0.903735i 0.999679 + 0.0253252i \(0.00806213\pi\)
−0.477907 + 0.878410i \(0.658605\pi\)
\(180\) 1.23608 + 1.21169i 0.0921321 + 0.0903139i
\(181\) 8.64775i 0.642782i −0.946947 0.321391i \(-0.895850\pi\)
0.946947 0.321391i \(-0.104150\pi\)
\(182\) 9.35812 + 10.6839i 0.693670 + 0.791942i
\(183\) 2.62334 2.62334i 0.193923 0.193923i
\(184\) −2.70301 + 10.0878i −0.199268 + 0.743680i
\(185\) 0.912582 + 0.894573i 0.0670944 + 0.0657703i
\(186\) 2.91920 + 1.68540i 0.214046 + 0.123579i
\(187\) 0.409276 0.0299292
\(188\) 0.606592 + 0.350216i 0.0442402 + 0.0255421i
\(189\) −2.51785 9.39675i −0.183147 0.683513i
\(190\) −4.68179 + 8.29899i −0.339653 + 0.602072i
\(191\) −8.45647 + 14.6470i −0.611889 + 1.05982i 0.379033 + 0.925383i \(0.376257\pi\)
−0.990922 + 0.134439i \(0.957077\pi\)
\(192\) −4.20740 1.12737i −0.303643 0.0813609i
\(193\) −4.27780 7.40936i −0.307923 0.533338i 0.669985 0.742375i \(-0.266300\pi\)
−0.977908 + 0.209037i \(0.932967\pi\)
\(194\) −8.15169 −0.585257
\(195\) 3.63393 + 4.06627i 0.260231 + 0.291192i
\(196\) 0.0811660 0.00579757
\(197\) −3.82842 6.63101i −0.272764 0.472440i 0.696805 0.717261i \(-0.254604\pi\)
−0.969568 + 0.244820i \(0.921271\pi\)
\(198\) −18.6382 4.99409i −1.32456 0.354915i
\(199\) −7.66380 + 13.2741i −0.543272 + 0.940975i 0.455441 + 0.890266i \(0.349481\pi\)
−0.998713 + 0.0507092i \(0.983852\pi\)
\(200\) −11.0149 + 6.65558i −0.778869 + 0.470621i
\(201\) 2.76378 + 10.3146i 0.194942 + 0.727533i
\(202\) 3.30088 + 1.90576i 0.232249 + 0.134089i
\(203\) 12.9351 0.907868
\(204\) 0.0146008 + 0.00842979i 0.00102226 + 0.000590203i
\(205\) 0.231976 + 23.2787i 0.0162019 + 1.62585i
\(206\) 2.62118 9.78238i 0.182626 0.681570i
\(207\) 7.29455 7.29455i 0.507006 0.507006i
\(208\) −15.4162 5.24346i −1.06892 0.363569i
\(209\) 14.0338i 0.970739i
\(210\) −5.95771 + 0.0593697i −0.411121 + 0.00409690i
\(211\) −9.91788 17.1783i −0.682775 1.18260i −0.974130 0.225986i \(-0.927440\pi\)
0.291355 0.956615i \(-0.405894\pi\)
\(212\) 0.747481 + 2.78964i 0.0513372 + 0.191593i
\(213\) 5.19952i 0.356265i
\(214\) 5.32071 1.42568i 0.363716 0.0974575i
\(215\) 0.155559 + 0.263340i 0.0106090 + 0.0179596i
\(216\) 6.82328 + 6.82328i 0.464265 + 0.464265i
\(217\) 8.22803 2.20469i 0.558555 0.149664i
\(218\) 0.880853 3.28739i 0.0596589 0.222650i
\(219\) 4.32460 + 1.15877i 0.292229 + 0.0783025i
\(220\) −1.67236 + 2.96445i −0.112751 + 0.199863i
\(221\) −0.245323 0.164134i −0.0165022 0.0110408i
\(222\) −0.414955 0.414955i −0.0278499 0.0278499i
\(223\) 16.4311 9.48653i 1.10031 0.635265i 0.164008 0.986459i \(-0.447558\pi\)
0.936303 + 0.351194i \(0.114224\pi\)
\(224\) 3.83838 2.21609i 0.256463 0.148069i
\(225\) 12.7098 0.253336i 0.847319 0.0168890i
\(226\) −6.14771 + 6.14771i −0.408939 + 0.408939i
\(227\) −13.4794 + 23.3469i −0.894656 + 1.54959i −0.0604265 + 0.998173i \(0.519246\pi\)
−0.834230 + 0.551417i \(0.814087\pi\)
\(228\) 0.289052 0.500652i 0.0191429 0.0331565i
\(229\) 11.1801 11.1801i 0.738799 0.738799i −0.233547 0.972346i \(-0.575033\pi\)
0.972346 + 0.233547i \(0.0750331\pi\)
\(230\) −7.00503 11.8586i −0.461898 0.781931i
\(231\) 7.59946 4.38755i 0.500008 0.288680i
\(232\) −11.1116 + 6.41527i −0.729510 + 0.421183i
\(233\) −6.75797 6.75797i −0.442729 0.442729i 0.450199 0.892928i \(-0.351353\pi\)
−0.892928 + 0.450199i \(0.851353\pi\)
\(234\) 9.16908 + 10.4681i 0.599401 + 0.684318i
\(235\) 4.95535 1.38085i 0.323251 0.0900767i
\(236\) −0.788702 0.211332i −0.0513401 0.0137565i
\(237\) 0.999740 3.73108i 0.0649401 0.242360i
\(238\) 0.311489 0.0834631i 0.0201908 0.00541011i
\(239\) −1.98766 1.98766i −0.128571 0.128571i 0.639893 0.768464i \(-0.278979\pi\)
−0.768464 + 0.639893i \(0.778979\pi\)
\(240\) 5.88136 3.47420i 0.379640 0.224259i
\(241\) −2.65141 + 0.710443i −0.170792 + 0.0457637i −0.343202 0.939262i \(-0.611511\pi\)
0.172409 + 0.985025i \(0.444845\pi\)
\(242\) 21.2441i 1.36562i
\(243\) −3.80231 14.1904i −0.243918 0.910315i
\(244\) −0.834956 1.44619i −0.0534526 0.0925826i
\(245\) 0.417287 0.425688i 0.0266595 0.0271962i
\(246\) 10.6904i 0.681595i
\(247\) −5.62804 + 8.41197i −0.358104 + 0.535241i
\(248\) −5.97463 + 5.97463i −0.379389 + 0.379389i
\(249\) −0.649045 + 2.42227i −0.0411316 + 0.153505i
\(250\) 3.90077 16.5179i 0.246706 1.04469i
\(251\) −2.45414 1.41690i −0.154904 0.0894337i 0.420545 0.907272i \(-0.361839\pi\)
−0.575448 + 0.817838i \(0.695172\pi\)
\(252\) −2.00868 −0.126535
\(253\) 17.5675 + 10.1426i 1.10446 + 0.637661i
\(254\) 0.320005 + 1.19428i 0.0200789 + 0.0749355i
\(255\) 0.119277 0.0332374i 0.00746939 0.00208141i
\(256\) −3.57321 + 6.18898i −0.223325 + 0.386811i
\(257\) −19.3784 5.19242i −1.20879 0.323894i −0.402502 0.915419i \(-0.631859\pi\)
−0.806287 + 0.591525i \(0.798526\pi\)
\(258\) −0.0702258 0.121635i −0.00437207 0.00757265i
\(259\) −1.48298 −0.0921478
\(260\) 2.19127 1.10624i 0.135897 0.0686060i
\(261\) 12.6738 0.784490
\(262\) −12.2250 21.1743i −0.755264 1.30815i
\(263\) −9.10077 2.43854i −0.561177 0.150367i −0.0329302 0.999458i \(-0.510484\pi\)
−0.528247 + 0.849091i \(0.677151\pi\)
\(264\) −4.35207 + 7.53801i −0.267851 + 0.463932i
\(265\) 18.4736 + 10.4217i 1.13482 + 0.640199i
\(266\) −2.86189 10.6807i −0.175474 0.654878i
\(267\) −10.4813 6.05140i −0.641447 0.370340i
\(268\) 4.80653 0.293605
\(269\) 2.78417 + 1.60744i 0.169754 + 0.0980075i 0.582470 0.812852i \(-0.302086\pi\)
−0.412716 + 0.910860i \(0.635420\pi\)
\(270\) −12.7252 + 0.126809i −0.774431 + 0.00771734i
\(271\) −3.93065 + 14.6694i −0.238770 + 0.891102i 0.737643 + 0.675191i \(0.235939\pi\)
−0.976413 + 0.215911i \(0.930728\pi\)
\(272\) −0.261431 + 0.261431i −0.0158516 + 0.0158516i
\(273\) −6.31473 0.417715i −0.382185 0.0252812i
\(274\) 29.2033i 1.76424i
\(275\) 6.94964 + 24.0117i 0.419079 + 1.44796i
\(276\) 0.417811 + 0.723671i 0.0251493 + 0.0435598i
\(277\) 2.76028 + 10.3015i 0.165849 + 0.618956i 0.997930 + 0.0643031i \(0.0204824\pi\)
−0.832082 + 0.554653i \(0.812851\pi\)
\(278\) 24.0595i 1.44300i
\(279\) 8.06181 2.16016i 0.482648 0.129325i
\(280\) 3.72143 14.4635i 0.222398 0.864362i
\(281\) −12.7630 12.7630i −0.761379 0.761379i 0.215193 0.976572i \(-0.430962\pi\)
−0.976572 + 0.215193i \(0.930962\pi\)
\(282\) −2.28176 + 0.611396i −0.135877 + 0.0364081i
\(283\) −1.49018 + 5.56143i −0.0885820 + 0.330592i −0.995968 0.0897050i \(-0.971408\pi\)
0.907386 + 0.420297i \(0.138074\pi\)
\(284\) 2.26064 + 0.605736i 0.134144 + 0.0359438i
\(285\) −1.13969 4.08991i −0.0675093 0.242266i
\(286\) −15.2163 + 22.7431i −0.899757 + 1.34483i
\(287\) −19.1028 19.1028i −1.12760 1.12760i
\(288\) 3.76084 2.17132i 0.221610 0.127946i
\(289\) 14.7166 8.49665i 0.865684 0.499803i
\(290\) 4.21636 16.3871i 0.247593 0.962286i
\(291\) 2.56839 2.56839i 0.150562 0.150562i
\(292\) 1.00762 1.74525i 0.0589664 0.102133i
\(293\) 1.59804 2.76788i 0.0933583 0.161701i −0.815564 0.578667i \(-0.803573\pi\)
0.908922 + 0.416966i \(0.136906\pi\)
\(294\) −0.193562 + 0.193562i −0.0112888 + 0.0112888i
\(295\) −5.16321 + 3.04998i −0.300614 + 0.177577i
\(296\) 1.27391 0.735493i 0.0740446 0.0427497i
\(297\) 16.2318 9.37145i 0.941867 0.543787i
\(298\) 1.54603 + 1.54603i 0.0895590 + 0.0895590i
\(299\) −6.46257 13.1247i −0.373740 0.759023i
\(300\) −0.246638 + 0.999751i −0.0142396 + 0.0577207i
\(301\) −0.342839 0.0918633i −0.0197609 0.00529491i
\(302\) −7.73749 + 28.8767i −0.445243 + 1.66167i
\(303\) −1.64048 + 0.439566i −0.0942432 + 0.0252524i
\(304\) 8.96429 + 8.96429i 0.514137 + 0.514137i
\(305\) −11.8774 3.05602i −0.680098 0.174987i
\(306\) 0.305196 0.0817771i 0.0174469 0.00467488i
\(307\) 24.2740i 1.38539i 0.721231 + 0.692695i \(0.243577\pi\)
−0.721231 + 0.692695i \(0.756423\pi\)
\(308\) −1.02229 3.81522i −0.0582501 0.217393i
\(309\) 2.25631 + 3.90804i 0.128357 + 0.222321i
\(310\) −0.111037 11.1425i −0.00630648 0.632852i
\(311\) 16.9053i 0.958614i 0.877647 + 0.479307i \(0.159112\pi\)
−0.877647 + 0.479307i \(0.840888\pi\)
\(312\) 5.63167 2.77301i 0.318830 0.156991i
\(313\) −8.40997 + 8.40997i −0.475359 + 0.475359i −0.903644 0.428285i \(-0.859118\pi\)
0.428285 + 0.903644i \(0.359118\pi\)
\(314\) −2.52620 + 9.42790i −0.142562 + 0.532047i
\(315\) −10.3269 + 10.5348i −0.581856 + 0.593570i
\(316\) −1.50573 0.869331i −0.0847037 0.0489037i
\(317\) 11.9484 0.671087 0.335543 0.942025i \(-0.391080\pi\)
0.335543 + 0.942025i \(0.391080\pi\)
\(318\) −8.43520 4.87006i −0.473022 0.273100i
\(319\) 6.45015 + 24.0723i 0.361139 + 1.34779i
\(320\) 3.86523 + 13.8708i 0.216073 + 0.775403i
\(321\) −1.22723 + 2.12562i −0.0684970 + 0.118640i
\(322\) 15.4385 + 4.13674i 0.860355 + 0.230531i
\(323\) 0.114900 + 0.199013i 0.00639321 + 0.0110734i
\(324\) −1.55018 −0.0861214
\(325\) 5.46385 17.1798i 0.303080 0.952965i
\(326\) 19.9407 1.10442
\(327\) 0.758238 + 1.31331i 0.0419307 + 0.0726260i
\(328\) 25.8840 + 6.93559i 1.42920 + 0.382954i
\(329\) −2.98480 + 5.16983i −0.164558 + 0.285022i
\(330\) −3.08133 11.0577i −0.169621 0.608707i
\(331\) −5.55136 20.7179i −0.305130 1.13876i −0.932833 0.360308i \(-0.882671\pi\)
0.627703 0.778453i \(-0.283995\pi\)
\(332\) 0.977538 + 0.564382i 0.0536494 + 0.0309745i
\(333\) −1.45302 −0.0796250
\(334\) 4.31889 + 2.49351i 0.236319 + 0.136439i
\(335\) 24.7111 25.2086i 1.35011 1.37729i
\(336\) −2.05165 + 7.65687i −0.111927 + 0.417716i
\(337\) −14.1264 + 14.1264i −0.769514 + 0.769514i −0.978021 0.208507i \(-0.933140\pi\)
0.208507 + 0.978021i \(0.433140\pi\)
\(338\) 18.2415 7.53011i 0.992206 0.409584i
\(339\) 3.87397i 0.210405i
\(340\) −0.000555369 0.0557310i −3.01191e−5 0.00302244i
\(341\) 8.20588 + 14.2130i 0.444373 + 0.769677i
\(342\) −2.80408 10.4650i −0.151627 0.565881i
\(343\) 18.8559i 1.01812i
\(344\) 0.340067 0.0911205i 0.0183352 0.00491289i
\(345\) 5.94344 + 1.52923i 0.319984 + 0.0823309i
\(346\) −4.54924 4.54924i −0.244569 0.244569i
\(347\) 23.7906 6.37467i 1.27715 0.342210i 0.444382 0.895837i \(-0.353423\pi\)
0.832765 + 0.553627i \(0.186757\pi\)
\(348\) −0.265705 + 0.991626i −0.0142433 + 0.0531567i
\(349\) −26.3190 7.05214i −1.40882 0.377493i −0.527317 0.849669i \(-0.676802\pi\)
−0.881504 + 0.472176i \(0.843469\pi\)
\(350\) 10.1858 + 16.8574i 0.544456 + 0.901065i
\(351\) −13.4878 0.892205i −0.719923 0.0476224i
\(352\) 6.03818 + 6.03818i 0.321836 + 0.321836i
\(353\) 7.62038 4.39963i 0.405592 0.234169i −0.283302 0.959031i \(-0.591430\pi\)
0.688894 + 0.724862i \(0.258097\pi\)
\(354\) 2.38485 1.37689i 0.126753 0.0731810i
\(355\) 14.7992 8.74209i 0.785460 0.463982i
\(356\) −3.85208 + 3.85208i −0.204160 + 0.204160i
\(357\) −0.0718451 + 0.124439i −0.00380244 + 0.00658603i
\(358\) −10.5972 + 18.3549i −0.560081 + 0.970089i
\(359\) −11.1256 + 11.1256i −0.587186 + 0.587186i −0.936868 0.349683i \(-0.886289\pi\)
0.349683 + 0.936868i \(0.386289\pi\)
\(360\) 3.64625 14.1714i 0.192174 0.746896i
\(361\) −9.63047 + 5.56015i −0.506867 + 0.292640i
\(362\) 11.3689 6.56385i 0.597537 0.344988i
\(363\) 6.69346 + 6.69346i 0.351316 + 0.351316i
\(364\) −0.917270 + 2.69684i −0.0480780 + 0.141353i
\(365\) −3.97289 14.2572i −0.207951 0.746256i
\(366\) 5.43999 + 1.45764i 0.284353 + 0.0761921i
\(367\) 2.84144 10.6044i 0.148322 0.553545i −0.851263 0.524739i \(-0.824163\pi\)
0.999585 0.0288057i \(-0.00917042\pi\)
\(368\) −17.7002 + 4.74276i −0.922689 + 0.247234i
\(369\) −18.7169 18.7169i −0.974365 0.974365i
\(370\) −0.483395 + 1.87874i −0.0251305 + 0.0976712i
\(371\) −23.7754 + 6.37060i −1.23436 + 0.330745i
\(372\) 0.676060i 0.0350521i
\(373\) 2.73825 + 10.2193i 0.141781 + 0.529135i 0.999878 + 0.0156462i \(0.00498054\pi\)
−0.858096 + 0.513489i \(0.828353\pi\)
\(374\) 0.310650 + 0.538062i 0.0160633 + 0.0278225i
\(375\) 3.97535 + 6.43341i 0.205286 + 0.332220i
\(376\) 5.92134i 0.305370i
\(377\) 5.78755 17.0158i 0.298074 0.876361i
\(378\) 10.4425 10.4425i 0.537104 0.537104i
\(379\) 2.53694 9.46800i 0.130314 0.486338i −0.869659 0.493652i \(-0.835662\pi\)
0.999973 + 0.00731411i \(0.00232818\pi\)
\(380\) −1.91098 + 0.0190432i −0.0980311 + 0.000976897i
\(381\) −0.477111 0.275460i −0.0244431 0.0141123i
\(382\) −25.6746 −1.31363
\(383\) −22.5658 13.0283i −1.15306 0.665718i −0.203426 0.979090i \(-0.565208\pi\)
−0.949630 + 0.313373i \(0.898541\pi\)
\(384\) −2.30945 8.61899i −0.117854 0.439836i
\(385\) −25.2653 14.2531i −1.28764 0.726407i
\(386\) 6.49390 11.2478i 0.330531 0.572496i
\(387\) −0.335913 0.0900076i −0.0170754 0.00457534i
\(388\) −0.817467 1.41589i −0.0415006 0.0718812i
\(389\) 32.4888 1.64725 0.823623 0.567138i \(-0.191950\pi\)
0.823623 + 0.567138i \(0.191950\pi\)
\(390\) −2.58755 + 7.86379i −0.131026 + 0.398199i
\(391\) −0.332166 −0.0167983
\(392\) −0.343082 0.594236i −0.0173283 0.0300134i
\(393\) 10.5233 + 2.81971i 0.530830 + 0.142235i
\(394\) 5.81172 10.0662i 0.292790 0.507127i
\(395\) −12.3005 + 3.42764i −0.618906 + 0.172463i
\(396\) −1.00163 3.73815i −0.0503340 0.187849i
\(397\) −20.9451 12.0927i −1.05121 0.606914i −0.128219 0.991746i \(-0.540926\pi\)
−0.922987 + 0.384832i \(0.874259\pi\)
\(398\) −23.2680 −1.16632
\(399\) 4.26694 + 2.46352i 0.213614 + 0.123330i
\(400\) −19.7770 10.8986i −0.988849 0.544931i
\(401\) −8.49918 + 31.7194i −0.424429 + 1.58399i 0.340738 + 0.940158i \(0.389323\pi\)
−0.765167 + 0.643832i \(0.777343\pi\)
\(402\) −11.4624 + 11.4624i −0.571695 + 0.571695i
\(403\) 0.781237 11.8102i 0.0389162 0.588309i
\(404\) 0.764454i 0.0380330i
\(405\) −7.96975 + 8.13019i −0.396020 + 0.403992i
\(406\) 9.81806 + 17.0054i 0.487262 + 0.843963i
\(407\) −0.739493 2.75983i −0.0366553 0.136799i
\(408\) 0.142528i 0.00705620i
\(409\) −13.4843 + 3.61312i −0.666758 + 0.178657i −0.576294 0.817243i \(-0.695502\pi\)
−0.0904639 + 0.995900i \(0.528835\pi\)
\(410\) −30.4277 + 17.9740i −1.50271 + 0.887675i
\(411\) −9.20122 9.20122i −0.453863 0.453863i
\(412\) 1.96199 0.525714i 0.0966603 0.0259001i
\(413\) 1.80113 6.72192i 0.0886279 0.330764i
\(414\) 15.1266 + 4.05317i 0.743434 + 0.199203i
\(415\) 7.98567 2.22527i 0.392001 0.109234i
\(416\) −1.19781 6.04084i −0.0587275 0.296177i
\(417\) 7.58055 + 7.58055i 0.371221 + 0.371221i
\(418\) 18.4498 10.6520i 0.902408 0.521006i
\(419\) 1.92240 1.10990i 0.0939155 0.0542221i −0.452307 0.891862i \(-0.649399\pi\)
0.546222 + 0.837640i \(0.316065\pi\)
\(420\) −0.607763 1.02886i −0.0296558 0.0502033i
\(421\) 24.4795 24.4795i 1.19306 1.19306i 0.216853 0.976204i \(-0.430421\pi\)
0.976204 0.216853i \(-0.0695792\pi\)
\(422\) 15.0558 26.0774i 0.732905 1.26943i
\(423\) −2.92451 + 5.06540i −0.142194 + 0.246288i
\(424\) 17.2641 17.2641i 0.838417 0.838417i
\(425\) −0.295145 0.283609i −0.0143166 0.0137571i
\(426\) −6.83564 + 3.94656i −0.331188 + 0.191211i
\(427\) 12.3255 7.11613i 0.596472 0.344374i
\(428\) 0.781202 + 0.781202i 0.0377608 + 0.0377608i
\(429\) −2.37150 11.9600i −0.114497 0.577435i
\(430\) −0.228132 + 0.404389i −0.0110015 + 0.0195014i
\(431\) 1.59621 + 0.427704i 0.0768868 + 0.0206018i 0.297057 0.954860i \(-0.403995\pi\)
−0.220171 + 0.975461i \(0.570661\pi\)
\(432\) −4.38216 + 16.3545i −0.210837 + 0.786854i
\(433\) −14.3111 + 3.83465i −0.687748 + 0.184281i −0.585736 0.810502i \(-0.699195\pi\)
−0.102012 + 0.994783i \(0.532528\pi\)
\(434\) 9.14370 + 9.14370i 0.438912 + 0.438912i
\(435\) 3.83470 + 6.49164i 0.183860 + 0.311250i
\(436\) 0.659331 0.176667i 0.0315762 0.00846083i
\(437\) 11.3897i 0.544845i
\(438\) 1.75907 + 6.56494i 0.0840516 + 0.313685i
\(439\) −10.9363 18.9422i −0.521959 0.904060i −0.999674 0.0255448i \(-0.991868\pi\)
0.477714 0.878515i \(-0.341465\pi\)
\(440\) 28.7724 0.286722i 1.37167 0.0136689i
\(441\) 0.677783i 0.0322754i
\(442\) 0.0295753 0.447100i 0.00140675 0.0212664i
\(443\) −6.14972 + 6.14972i −0.292182 + 0.292182i −0.837942 0.545760i \(-0.816241\pi\)
0.545760 + 0.837942i \(0.316241\pi\)
\(444\) 0.0304624 0.113687i 0.00144568 0.00539536i
\(445\) 0.398677 + 40.0070i 0.0188991 + 1.89651i
\(446\) 24.9432 + 14.4010i 1.18110 + 0.681907i
\(447\) −0.974228 −0.0460794
\(448\) −14.4712 8.35496i −0.683701 0.394735i
\(449\) −1.20994 4.51557i −0.0571008 0.213103i 0.931481 0.363791i \(-0.118518\pi\)
−0.988581 + 0.150688i \(0.951851\pi\)
\(450\) 9.98008 + 16.5168i 0.470465 + 0.778612i
\(451\) 26.0247 45.0761i 1.22546 2.12255i
\(452\) −1.68432 0.451312i −0.0792237 0.0212279i
\(453\) −6.66043 11.5362i −0.312934 0.542018i
\(454\) −40.9246 −1.92069
\(455\) 9.42820 + 18.6757i 0.442001 + 0.875529i
\(456\) −4.88720 −0.228864
\(457\) 15.0180 + 26.0120i 0.702514 + 1.21679i 0.967581 + 0.252560i \(0.0812725\pi\)
−0.265067 + 0.964230i \(0.585394\pi\)
\(458\) 23.1840 + 6.21213i 1.08332 + 0.290274i
\(459\) −0.153455 + 0.265792i −0.00716268 + 0.0124061i
\(460\) 1.35728 2.40593i 0.0632834 0.112177i
\(461\) 0.680045 + 2.53796i 0.0316729 + 0.118205i 0.979952 0.199232i \(-0.0638447\pi\)
−0.948280 + 0.317436i \(0.897178\pi\)
\(462\) 11.5363 + 6.66050i 0.536719 + 0.309875i
\(463\) 25.1475 1.16870 0.584352 0.811500i \(-0.301349\pi\)
0.584352 + 0.811500i \(0.301349\pi\)
\(464\) −19.4966 11.2564i −0.905109 0.522565i
\(465\) 3.54570 + 3.47573i 0.164428 + 0.161183i
\(466\) 3.75502 14.0139i 0.173948 0.649183i
\(467\) 14.9907 14.9907i 0.693688 0.693688i −0.269354 0.963041i \(-0.586810\pi\)
0.963041 + 0.269354i \(0.0868100\pi\)
\(468\) −0.898740 + 2.64236i −0.0415443 + 0.122143i
\(469\) 40.9648i 1.89158i
\(470\) 5.57658 + 5.46654i 0.257229 + 0.252152i
\(471\) −2.17455 3.76643i −0.100198 0.173548i
\(472\) 1.78657 + 6.66756i 0.0822335 + 0.306899i
\(473\) 0.683832i 0.0314426i
\(474\) 5.66395 1.51765i 0.260154 0.0697081i
\(475\) −9.72477 + 10.1203i −0.446203 + 0.464353i
\(476\) 0.0457337 + 0.0457337i 0.00209620 + 0.00209620i
\(477\) −23.2951 + 6.24190i −1.06661 + 0.285797i
\(478\) 1.10443 4.12178i 0.0505154 0.188526i
\(479\) −2.21157 0.592587i −0.101049 0.0270760i 0.207940 0.978142i \(-0.433324\pi\)
−0.308989 + 0.951066i \(0.599991\pi\)
\(480\) 2.25009 + 1.26936i 0.102702 + 0.0579382i
\(481\) −0.663527 + 1.95082i −0.0302542 + 0.0889498i
\(482\) −2.94648 2.94648i −0.134208 0.134208i
\(483\) −6.16767 + 3.56090i −0.280639 + 0.162027i
\(484\) 3.68995 2.13039i 0.167725 0.0968361i
\(485\) −11.6286 2.99201i −0.528028 0.135860i
\(486\) 15.7696 15.7696i 0.715324 0.715324i
\(487\) 2.78321 4.82067i 0.126119 0.218445i −0.796050 0.605230i \(-0.793081\pi\)
0.922170 + 0.386785i \(0.126414\pi\)
\(488\) −7.05859 + 12.2258i −0.319527 + 0.553437i
\(489\) −6.28282 + 6.28282i −0.284119 + 0.284119i
\(490\) 0.876368 + 0.225487i 0.0395903 + 0.0101865i
\(491\) 5.29139 3.05498i 0.238797 0.137869i −0.375827 0.926690i \(-0.622641\pi\)
0.614624 + 0.788820i \(0.289308\pi\)
\(492\) 1.85685 1.07205i 0.0837133 0.0483319i
\(493\) −0.288558 0.288558i −0.0129960 0.0129960i
\(494\) −15.3307 1.01412i −0.689763 0.0456273i
\(495\) −24.7549 13.9652i −1.11265 0.627689i
\(496\) −14.3204 3.83713i −0.643004 0.172292i
\(497\) −5.16254 + 19.2669i −0.231572 + 0.864237i
\(498\) −3.67712 + 0.985281i −0.164776 + 0.0441515i
\(499\) 6.22738 + 6.22738i 0.278776 + 0.278776i 0.832620 0.553844i \(-0.186840\pi\)
−0.553844 + 0.832620i \(0.686840\pi\)
\(500\) 3.26023 0.978912i 0.145802 0.0437783i
\(501\) −2.14642 + 0.575130i −0.0958948 + 0.0256949i
\(502\) 4.30183i 0.192000i
\(503\) 0.951461 + 3.55090i 0.0424236 + 0.158327i 0.983888 0.178785i \(-0.0572166\pi\)
−0.941465 + 0.337112i \(0.890550\pi\)
\(504\) 8.49051 + 14.7060i 0.378198 + 0.655057i
\(505\) 4.00930 + 3.93018i 0.178412 + 0.174891i
\(506\) 30.7939i 1.36896i
\(507\) −3.37489 + 8.11998i −0.149884 + 0.360621i
\(508\) −0.175347 + 0.175347i −0.00777976 + 0.00777976i
\(509\) 2.90050 10.8248i 0.128563 0.479802i −0.871379 0.490610i \(-0.836774\pi\)
0.999942 + 0.0108085i \(0.00344051\pi\)
\(510\) 0.134230 + 0.131581i 0.00594380 + 0.00582650i
\(511\) 14.8743 + 8.58768i 0.658000 + 0.379897i
\(512\) 15.5347 0.686544
\(513\) 9.11384 + 5.26188i 0.402386 + 0.232318i
\(514\) −7.88233 29.4173i −0.347675 1.29754i
\(515\) 7.32972 12.9927i 0.322986 0.572529i
\(516\) 0.0140848 0.0243955i 0.000620047 0.00107395i
\(517\) −11.1095 2.97677i −0.488593 0.130918i
\(518\) −1.12561 1.94962i −0.0494567 0.0856615i
\(519\) 2.86670 0.125834
\(520\) −17.3614 11.3669i −0.761347 0.498470i
\(521\) 35.9604 1.57545 0.787726 0.616026i \(-0.211258\pi\)
0.787726 + 0.616026i \(0.211258\pi\)
\(522\) 9.61972 + 16.6618i 0.421044 + 0.729269i
\(523\) 8.10636 + 2.17209i 0.354467 + 0.0949790i 0.431658 0.902037i \(-0.357929\pi\)
−0.0771917 + 0.997016i \(0.524595\pi\)
\(524\) 2.45189 4.24681i 0.107112 0.185523i
\(525\) −8.52064 2.10203i −0.371871 0.0917403i
\(526\) −3.70182 13.8154i −0.161407 0.602380i
\(527\) −0.232734 0.134369i −0.0101381 0.00585322i
\(528\) −15.2725 −0.664651
\(529\) 5.66090 + 3.26832i 0.246126 + 0.142101i
\(530\) 0.320848 + 32.1969i 0.0139368 + 1.39855i
\(531\) 1.76475 6.58612i 0.0765835 0.285813i
\(532\) 1.56818 1.56818i 0.0679891 0.0679891i
\(533\) −33.6765 + 16.5822i −1.45869 + 0.718253i
\(534\) 18.3726i 0.795061i
\(535\) 8.11343 0.0808517i 0.350774 0.00349552i
\(536\) −20.3168 35.1897i −0.877552 1.51997i
\(537\) −2.44426 9.12209i −0.105477 0.393647i
\(538\) 4.88034i 0.210407i
\(539\) −1.28736 + 0.344948i −0.0554506 + 0.0148580i
\(540\) −1.29813 2.19757i −0.0558628 0.0945682i
\(541\) 4.13066 + 4.13066i 0.177591 + 0.177591i 0.790305 0.612714i \(-0.209922\pi\)
−0.612714 + 0.790305i \(0.709922\pi\)
\(542\) −22.2688 + 5.96691i −0.956528 + 0.256301i
\(543\) −1.51396 + 5.65016i −0.0649700 + 0.242471i
\(544\) −0.135064 0.0361903i −0.00579082 0.00155165i
\(545\) 2.46317 4.36624i 0.105511 0.187029i
\(546\) −4.24387 8.61882i −0.181621 0.368851i
\(547\) −7.90229 7.90229i −0.337877 0.337877i 0.517691 0.855568i \(-0.326792\pi\)
−0.855568 + 0.517691i \(0.826792\pi\)
\(548\) −5.07242 + 2.92856i −0.216683 + 0.125102i
\(549\) 12.0765 6.97237i 0.515413 0.297574i
\(550\) −26.2924 + 27.3619i −1.12111 + 1.16671i
\(551\) −9.89447 + 9.89447i −0.421519 + 0.421519i
\(552\) 3.53211 6.11780i 0.150337 0.260391i
\(553\) 7.40909 12.8329i 0.315067 0.545712i
\(554\) −11.4479 + 11.4479i −0.486375 + 0.486375i
\(555\) −0.439639 0.744250i −0.0186616 0.0315916i
\(556\) 4.17898 2.41274i 0.177228 0.102323i
\(557\) −10.2077 + 5.89341i −0.432513 + 0.249712i −0.700417 0.713734i \(-0.747003\pi\)
0.267903 + 0.963446i \(0.413669\pi\)
\(558\) 8.95899 + 8.95899i 0.379264 + 0.379264i
\(559\) −0.274240 + 0.409894i −0.0115991 + 0.0173367i
\(560\) 25.2429 7.03416i 1.06671 0.297247i
\(561\) −0.267408 0.0716517i −0.0112900 0.00302514i
\(562\) 7.09170 26.4666i 0.299145 1.11643i
\(563\) 31.0602 8.32255i 1.30903 0.350754i 0.464172 0.885745i \(-0.346352\pi\)
0.844858 + 0.534991i \(0.179685\pi\)
\(564\) −0.335015 0.335015i −0.0141067 0.0141067i
\(565\) −11.0263 + 6.51341i −0.463882 + 0.274021i
\(566\) −8.44250 + 2.26216i −0.354865 + 0.0950858i
\(567\) 13.2118i 0.554845i
\(568\) −5.12080 19.1111i −0.214864 0.801883i
\(569\) −4.64237 8.04082i −0.194618 0.337089i 0.752157 0.658984i \(-0.229013\pi\)
−0.946775 + 0.321895i \(0.895680\pi\)
\(570\) 4.51182 4.60265i 0.188979 0.192784i
\(571\) 31.1596i 1.30399i 0.758223 + 0.651995i \(0.226068\pi\)
−0.758223 + 0.651995i \(0.773932\pi\)
\(572\) −5.47623 0.362249i −0.228973 0.0151464i
\(573\) 8.08942 8.08942i 0.337940 0.337940i
\(574\) 10.6144 39.6134i 0.443035 1.65343i
\(575\) −5.64028 19.4877i −0.235216 0.812694i
\(576\) −14.1789 8.18618i −0.590786 0.341091i
\(577\) 4.57285 0.190370 0.0951852 0.995460i \(-0.469656\pi\)
0.0951852 + 0.995460i \(0.469656\pi\)
\(578\) 22.3405 + 12.8983i 0.929243 + 0.536499i
\(579\) 1.49782 + 5.58994i 0.0622473 + 0.232310i
\(580\) 3.26916 0.910980i 0.135745 0.0378264i
\(581\) −4.81009 + 8.33132i −0.199556 + 0.345641i
\(582\) 5.32605 + 1.42711i 0.220772 + 0.0591556i
\(583\) −23.7114 41.0693i −0.982025 1.70092i
\(584\) −17.0365 −0.704975
\(585\) 9.23773 + 18.2984i 0.381933 + 0.756546i
\(586\) 4.85179 0.200425
\(587\) 3.59590 + 6.22829i 0.148419 + 0.257069i 0.930643 0.365928i \(-0.119248\pi\)
−0.782224 + 0.622997i \(0.785915\pi\)
\(588\) −0.0530312 0.0142097i −0.00218697 0.000585997i
\(589\) −4.60743 + 7.98031i −0.189846 + 0.328823i
\(590\) −7.92870 4.47289i −0.326420 0.184146i
\(591\) 1.34048 + 5.00272i 0.0551398 + 0.205785i
\(592\) 2.23524 + 1.29052i 0.0918677 + 0.0530399i
\(593\) 28.0561 1.15212 0.576062 0.817406i \(-0.304589\pi\)
0.576062 + 0.817406i \(0.304589\pi\)
\(594\) 24.6407 + 14.2263i 1.01102 + 0.583712i
\(595\) 0.474982 0.00473328i 0.0194724 0.000194045i
\(596\) −0.113496 + 0.423573i −0.00464898 + 0.0173502i
\(597\) 7.33116 7.33116i 0.300044 0.300044i
\(598\) 12.3494 18.4581i 0.505005 0.754808i
\(599\) 0.912959i 0.0373025i 0.999826 + 0.0186513i \(0.00593722\pi\)
−0.999826 + 0.0186513i \(0.994063\pi\)
\(600\) 8.36194 2.42017i 0.341375 0.0988032i
\(601\) −6.22691 10.7853i −0.254001 0.439943i 0.710623 0.703573i \(-0.248413\pi\)
−0.964624 + 0.263631i \(0.915080\pi\)
\(602\) −0.139453 0.520445i −0.00568367 0.0212118i
\(603\) 40.1373i 1.63452i
\(604\) −5.79162 + 1.55186i −0.235658 + 0.0631443i
\(605\) 7.79745 30.3052i 0.317011 1.23208i
\(606\) −1.82305 1.82305i −0.0740562 0.0740562i
\(607\) 37.4512 10.0350i 1.52010 0.407309i 0.600324 0.799757i \(-0.295038\pi\)
0.919774 + 0.392448i \(0.128372\pi\)
\(608\) −1.24094 + 4.63125i −0.0503268 + 0.187822i
\(609\) −8.45138 2.26454i −0.342467 0.0917638i
\(610\) −4.99757 17.9344i −0.202346 0.726143i
\(611\) 5.46530 + 6.23957i 0.221102 + 0.252426i
\(612\) 0.0448098 + 0.0448098i 0.00181133 + 0.00181133i
\(613\) −21.3140 + 12.3057i −0.860865 + 0.497021i −0.864302 0.502973i \(-0.832239\pi\)
0.00343656 + 0.999994i \(0.498906\pi\)
\(614\) −31.9122 + 18.4245i −1.28787 + 0.743553i
\(615\) 3.92382 15.2501i 0.158224 0.614945i
\(616\) −23.6110 + 23.6110i −0.951316 + 0.951316i
\(617\) 7.70769 13.3501i 0.310300 0.537455i −0.668127 0.744047i \(-0.732904\pi\)
0.978427 + 0.206592i \(0.0662372\pi\)
\(618\) −3.42518 + 5.93259i −0.137781 + 0.238644i
\(619\) 20.7915 20.7915i 0.835683 0.835683i −0.152604 0.988287i \(-0.548766\pi\)
0.988287 + 0.152604i \(0.0487661\pi\)
\(620\) 1.92424 1.13668i 0.0772795 0.0456501i
\(621\) −13.1736 + 7.60581i −0.528640 + 0.305211i
\(622\) −22.2249 + 12.8316i −0.891137 + 0.514498i
\(623\) −32.8303 32.8303i −1.31532 1.31532i
\(624\) 9.15446 + 6.12480i 0.366472 + 0.245188i
\(625\) 11.6273 22.1315i 0.465093 0.885262i
\(626\) −17.4397 4.67294i −0.697029 0.186768i
\(627\) −2.45689 + 9.16923i −0.0981186 + 0.366184i
\(628\) −1.89090 + 0.506664i −0.0754549 + 0.0202181i
\(629\) 0.0330825 + 0.0330825i 0.00131908 + 0.00131908i
\(630\) −21.6882 5.58030i −0.864077 0.222324i
\(631\) 12.1738 3.26195i 0.484631 0.129856i −0.00822739 0.999966i \(-0.502619\pi\)
0.492858 + 0.870110i \(0.335952\pi\)
\(632\) 14.6984i 0.584670i
\(633\) 3.47263 + 12.9600i 0.138025 + 0.515115i
\(634\) 9.06908 + 15.7081i 0.360179 + 0.623849i
\(635\) 0.0181478 + 1.82112i 0.000720173 + 0.0722690i
\(636\) 1.95352i 0.0774620i
\(637\) 0.909991 + 0.309512i 0.0360551 + 0.0122633i
\(638\) −26.7512 + 26.7512i −1.05909 + 1.05909i
\(639\) −5.05825 + 18.8777i −0.200101 + 0.746789i
\(640\) −20.6490 + 21.0646i −0.816222 + 0.832653i
\(641\) −8.45341 4.88058i −0.333890 0.192771i 0.323677 0.946168i \(-0.395081\pi\)
−0.657567 + 0.753396i \(0.728414\pi\)
\(642\) −3.72597 −0.147052
\(643\) 24.0854 + 13.9057i 0.949834 + 0.548387i 0.893029 0.449999i \(-0.148576\pi\)
0.0568044 + 0.998385i \(0.481909\pi\)
\(644\) 0.829680 + 3.09641i 0.0326940 + 0.122016i
\(645\) −0.0555341 0.199291i −0.00218665 0.00784708i
\(646\) −0.174424 + 0.302111i −0.00686261 + 0.0118864i
\(647\) −17.7967 4.76862i −0.699662 0.187474i −0.108583 0.994087i \(-0.534631\pi\)
−0.591079 + 0.806613i \(0.701298\pi\)
\(648\) 6.55251 + 11.3493i 0.257407 + 0.445842i
\(649\) 13.4076 0.526296
\(650\) 26.7329 5.85675i 1.04855 0.229721i
\(651\) −5.76190 −0.225826
\(652\) 1.99970 + 3.46357i 0.0783141 + 0.135644i
\(653\) −7.12491 1.90911i −0.278819 0.0747094i 0.116700 0.993167i \(-0.462769\pi\)
−0.395519 + 0.918458i \(0.629435\pi\)
\(654\) −1.15104 + 1.99366i −0.0450093 + 0.0779583i
\(655\) −9.66746 34.6929i −0.377739 1.35556i
\(656\) 12.1694 + 45.4167i 0.475134 + 1.77322i
\(657\) 14.5738 + 8.41420i 0.568579 + 0.328269i
\(658\) −9.06214 −0.353279
\(659\) 12.0786 + 6.97358i 0.470515 + 0.271652i 0.716455 0.697633i \(-0.245763\pi\)
−0.245940 + 0.969285i \(0.579097\pi\)
\(660\) 1.61165 1.64409i 0.0627334 0.0639963i
\(661\) 0.0586648 0.218940i 0.00228180 0.00851578i −0.964776 0.263074i \(-0.915264\pi\)
0.967057 + 0.254559i \(0.0819302\pi\)
\(662\) 23.0236 23.0236i 0.894837 0.894837i
\(663\) 0.131551 + 0.150188i 0.00510903 + 0.00583283i
\(664\) 9.54239i 0.370317i
\(665\) −0.162301 16.2868i −0.00629375 0.631575i
\(666\) −1.10288 1.91024i −0.0427356 0.0740202i
\(667\) −5.23490 19.5369i −0.202696 0.756472i
\(668\) 1.00022i 0.0386996i
\(669\) −12.3964 + 3.32160i −0.479271 + 0.128420i
\(670\) 51.8972 + 13.3530i 2.00496 + 0.515871i
\(671\) 19.3893 + 19.3893i 0.748515 + 0.748515i
\(672\) −2.89584 + 0.775939i −0.111710 + 0.0299325i
\(673\) −8.70112 + 32.4730i −0.335404 + 1.25174i 0.568027 + 0.823010i \(0.307707\pi\)
−0.903431 + 0.428734i \(0.858960\pi\)
\(674\) −29.2938 7.84924i −1.12835 0.302341i
\(675\) −18.1994 4.48978i −0.700495 0.172812i
\(676\) 3.13722 + 2.41329i 0.120662 + 0.0928190i
\(677\) 25.1691 + 25.1691i 0.967326 + 0.967326i 0.999483 0.0321566i \(-0.0102375\pi\)
−0.0321566 + 0.999483i \(0.510238\pi\)
\(678\) 5.09298 2.94044i 0.195595 0.112927i
\(679\) 12.0673 6.96707i 0.463101 0.267372i
\(680\) −0.405673 + 0.239637i −0.0155568 + 0.00918964i
\(681\) 12.8943 12.8943i 0.494110 0.494110i
\(682\) −12.4569 + 21.5760i −0.477000 + 0.826187i
\(683\) 15.3784 26.6361i 0.588437 1.01920i −0.406001 0.913873i \(-0.633077\pi\)
0.994437 0.105329i \(-0.0335897\pi\)
\(684\) 1.53650 1.53650i 0.0587494 0.0587494i
\(685\) −10.7188 + 41.6593i −0.409545 + 1.59172i
\(686\) −24.7893 + 14.3121i −0.946459 + 0.546438i
\(687\) −9.26197 + 5.34740i −0.353366 + 0.204016i
\(688\) 0.436807 + 0.436807i 0.0166531 + 0.0166531i
\(689\) −2.25743 + 34.1263i −0.0860013 + 1.30011i
\(690\) 2.50078 + 8.97436i 0.0952032 + 0.341648i
\(691\) −37.4215 10.0271i −1.42358 0.381447i −0.536828 0.843692i \(-0.680378\pi\)
−0.886753 + 0.462244i \(0.847044\pi\)
\(692\) 0.333966 1.24638i 0.0126955 0.0473802i
\(693\) 31.8593 8.53668i 1.21024 0.324282i
\(694\) 26.4382 + 26.4382i 1.00358 + 1.00358i
\(695\) 8.83085 34.3216i 0.334973 1.30189i
\(696\) 8.38305 2.24623i 0.317759 0.0851432i
\(697\) 0.852297i 0.0322831i
\(698\) −10.7055 39.9534i −0.405208 1.51226i
\(699\) 3.23232 + 5.59854i 0.122258 + 0.211756i
\(700\) −1.90656 + 3.45970i −0.0720612 + 0.130765i
\(701\) 19.8876i 0.751143i −0.926793 0.375571i \(-0.877447\pi\)
0.926793 0.375571i \(-0.122553\pi\)
\(702\) −9.06457 18.4091i −0.342120 0.694807i
\(703\) 1.13437 1.13437i 0.0427838 0.0427838i
\(704\) 8.33247 31.0972i 0.314042 1.17202i
\(705\) −3.47941 + 0.0346729i −0.131042 + 0.00130586i
\(706\) 11.5681 + 6.67884i 0.435371 + 0.251361i
\(707\) −6.51526 −0.245032
\(708\) 0.478314 + 0.276155i 0.0179761 + 0.0103785i
\(709\) 8.24828 + 30.7830i 0.309771 + 1.15608i 0.928760 + 0.370680i \(0.120875\pi\)
−0.618990 + 0.785399i \(0.712458\pi\)
\(710\) 22.7259 + 12.8206i 0.852887 + 0.481147i
\(711\) 7.25942 12.5737i 0.272250 0.471550i
\(712\) 44.4844 + 11.9196i 1.66712 + 0.446705i
\(713\) −6.65983 11.5352i −0.249413 0.431996i
\(714\) −0.218128 −0.00816325
\(715\) −30.0541 + 26.8586i −1.12396 + 1.00445i
\(716\) −4.25084 −0.158861
\(717\) 0.950692 + 1.64665i 0.0355042 + 0.0614951i
\(718\) −23.0710 6.18186i −0.861002 0.230705i
\(719\) −15.4818 + 26.8152i −0.577372 + 1.00004i 0.418407 + 0.908260i \(0.362589\pi\)
−0.995779 + 0.0917785i \(0.970745\pi\)
\(720\) 24.7330 6.89206i 0.921744 0.256852i
\(721\) 4.48053 + 16.7216i 0.166864 + 0.622744i
\(722\) −14.6195 8.44057i −0.544081 0.314126i
\(723\) 1.85672 0.0690522
\(724\) 2.28019 + 1.31647i 0.0847427 + 0.0489262i
\(725\) 12.0295 21.8291i 0.446765 0.810714i
\(726\) −3.71918 + 13.8802i −0.138032 + 0.515141i
\(727\) −16.2588 + 16.2588i −0.603007 + 0.603007i −0.941109 0.338103i \(-0.890215\pi\)
0.338103 + 0.941109i \(0.390215\pi\)
\(728\) 23.6215 4.68379i 0.875470 0.173593i
\(729\) 5.33729i 0.197678i
\(730\) 15.7280 16.0446i 0.582118 0.593836i
\(731\) 0.00559879 + 0.00969739i 0.000207079 + 0.000358671i
\(732\) 0.292350 + 1.09107i 0.0108056 + 0.0403269i
\(733\) 31.2515i 1.15430i −0.816638 0.577150i \(-0.804165\pi\)
0.816638 0.577150i \(-0.195835\pi\)
\(734\) 16.0980 4.31344i 0.594187 0.159212i
\(735\) −0.347167 + 0.205076i −0.0128054 + 0.00756435i
\(736\) −4.90054 4.90054i −0.180636 0.180636i
\(737\) −76.2357 + 20.4273i −2.80818 + 0.752449i
\(738\) 10.3999 38.8131i 0.382827 1.42873i
\(739\) 26.3668 + 7.06496i 0.969918 + 0.259889i 0.708793 0.705416i \(-0.249240\pi\)
0.261125 + 0.965305i \(0.415907\pi\)
\(740\) −0.374801 + 0.104441i −0.0137780 + 0.00383934i
\(741\) 5.14985 4.51081i 0.189184 0.165709i
\(742\) −26.4213 26.4213i −0.969956 0.969956i
\(743\) −28.5494 + 16.4830i −1.04738 + 0.604703i −0.921914 0.387395i \(-0.873375\pi\)
−0.125463 + 0.992098i \(0.540042\pi\)
\(744\) 4.94960 2.85765i 0.181461 0.104767i
\(745\) 1.63800 + 2.77291i 0.0600115 + 0.101591i
\(746\) −11.3566 + 11.3566i −0.415794 + 0.415794i
\(747\) −4.71292 + 8.16301i −0.172437 + 0.298669i
\(748\) −0.0623052 + 0.107916i −0.00227810 + 0.00394579i
\(749\) −6.65800 + 6.65800i −0.243278 + 0.243278i
\(750\) −5.44041 + 10.1094i −0.198656 + 0.369142i
\(751\) 26.8241 15.4869i 0.978826 0.565125i 0.0769103 0.997038i \(-0.475494\pi\)
0.901915 + 0.431913i \(0.142161\pi\)
\(752\) 8.99777 5.19487i 0.328115 0.189437i
\(753\) 1.35540 + 1.35540i 0.0493934 + 0.0493934i
\(754\) 26.7630 5.30672i 0.974653 0.193259i
\(755\) −21.6367 + 38.3535i −0.787440 + 1.39583i
\(756\) 2.86098 + 0.766598i 0.104053 + 0.0278809i
\(757\) 13.2249 49.3561i 0.480668 1.79388i −0.118154 0.992995i \(-0.537698\pi\)
0.598822 0.800882i \(-0.295636\pi\)
\(758\) 14.3729 3.85120i 0.522046 0.139882i
\(759\) −9.70238 9.70238i −0.352174 0.352174i
\(760\) 8.21697 + 13.9102i 0.298061 + 0.504577i
\(761\) 1.11809 0.299592i 0.0405308 0.0108602i −0.238497 0.971143i \(-0.576655\pi\)
0.279027 + 0.960283i \(0.409988\pi\)
\(762\) 0.836323i 0.0302968i
\(763\) 1.50569 + 5.61932i 0.0545097 + 0.203433i
\(764\) −2.57470 4.45951i −0.0931494 0.161339i
\(765\) 0.465386 0.00463766i 0.0168261 0.000167675i
\(766\) 39.5553i 1.42919i
\(767\) −8.03664 5.37693i −0.290186 0.194150i
\(768\) 3.41812 3.41812i 0.123341 0.123341i
\(769\) −7.82422 + 29.2004i −0.282148 + 1.05299i 0.668750 + 0.743488i \(0.266830\pi\)
−0.950898 + 0.309505i \(0.899837\pi\)
\(770\) −0.438805 44.0339i −0.0158134 1.58687i
\(771\) 11.7522 + 6.78511i 0.423243 + 0.244360i